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86045966 and 20671774. 186045966 What is the smallest common multiple of 1429848 and 1966041? 15728328 What is the least common multiple of 4041720 and 471534? 28292040 What is the lowest common multiple of 36267 and 510895? 240631545 What is the lowest common multiple of 21080015 and 242? 42160030 Calculate the common denominator of -16/5457155 and -38/189365. 60028705 Find the common denominator of -137/14223612 and 42. 14223612 What is the common denominator of 51/5 and 48/25656377? 128281885 What is the common denominator of -80/268569 and 121/238728? 2148552 Calculate the common denominator of 36/11315 and 6/130020665. 130020665 Find the common denominator of 109/6728850 and -41/177075. 6728850 What is the least common multiple of 13800 and 102075? 18781800 What is the common denominator of 75/10748 and -139/82206078? 164412156 What is the lowest common multiple of 13 and 13181144? 171354872 What is the smallest common multiple of 882181 and 16761439? 16761439 What is the smallest common multiple of 85004868 and 10? 425024340 Calculate the least common multiple of 171411708 and 4395172. 171411708 Calculate the common denominator of 75/400693376 and -7/10. 2003466880 Calculate the common denominator of -85/41941542 and 25/4168. 167766168 Calculate the lowest common multiple of 900 and 11354040. 56770200 Calculate the smallest common multiple of 732336 and 116508. 5126352 What is the least common multiple of 1134 and 25009824? 675265248 Find the common denominator of -53/348925 and -37/488495. 2442475 Calculate the smallest common multiple of 2864275 and 105. 60149775 Calculate the common denominator of -133/2911086 and 23/12690. 14555430 What is the common denominator of -26/2432177 and 2/12187? 17025239 Find the common denominator of -97/4924 and 133/13080. 16101480 What is the lowest common multiple of 1044 and 562426? 10123668 Find the common denominator of -7/280064 and 27/107212. 13723136 Find the common denominator of 43/138 and 163/4303740. 98986020 Calculate the common denominator of -123/92277100 and -87/17240. 184554200 Calculate the common denominator of -71/26948100 and 59/4. 26948100 What is the least common multiple of 1250 and 14629500? 73147500 Calculate the lowest common multiple of 15921792 and 6504. 15921792 What is the common denominator of -76/12525 and 17/2181855? 10909275 Calculate the lowest common multiple of 152950 and 80500. 1529500 Calculate the lowest common multiple of 14265097 and 191930396. 2111234356 Calculate the lowest common multiple of 1576654 and 4211610. 307447530 Calculate the lowest common multiple of 25041 and 266. 6660906 What is the least common multiple of 612 and 52490? 16061940 Calculate the lowest common multiple of 55436 and 25238. 699546884 Calculate the lowest common multiple of 135690 and 230673. 2306730 Calculate the lowest common multiple of 14511744 and 7072. 14511744 What is the lowest common multiple of 1390278 and 1095219? 304470882 Calculate the common denominator of 40/27 and -5/28811844. 86435532 Find the common denominator of -67/54750 and -91/73365. 3668250 Find the common denominator of -157/147756 and 97/441516036. 3090612252 What is the common denominator of -149/20436 and 73/114? 388284 Calculate the common denominator of 1/47900861 and 35. 47900861 What is the common denominator of -131/570228 and 35/149568? 9123648 What is the least common multiple of 42873714 and 1099326? 42873714 Find the common denominator of -1/8370089 and -53/138947. 594276319 Calculate the least common multiple of 85721415 and 1758388. 342885660 Calculate the lowest common multiple of 380050 and 11296. 2146522400 What is the common denominator of 61/341130 and -35/423964? 871246020 Calculate the common denominator of 121/4857700 and -2/352575. 43719300 What is the lowest common multiple of 2429160 and 5465610? 21862440 Find the common denominator of -67/878262 and -173/1197630. 13173930 Find the common denominator of 83/40397968 and 55/52. 40397968 What is the common denominator of -49/14307 and -74/3621495? 908995245 Calculate the smallest common multiple of 4250 and 505250. 8589250 Find the common denominator of -3/5988556 and -67/7658. 5988556 Find the common denominator of 127/432 and -47/642440. 34691760 Calculate the smallest common multiple of 665838 and 4686. 7324218 What is the common denominator of -3/549638 and -53/1328522? 264375878 What is the common denominator of 29/35074655 and -6/10285? 385821205 What is the common denominator of 8/2178477 and -31/10305? 10892385 What is the smallest common multiple of 331782 and 13710? 1658910 What is the common denominator of -43/75375 and -83/20? 301500 What is the common denominator of 43/3410 and -137/290780? 3198580 Calculate the common denominator of 131/3025488 and -4/441217. 21178416 Calculate the lowest common multiple of 51395088 and 348048. 154185264 What is the common denominator of 15/112126 and -12/4989607? 9979214 What is the least common multiple of 158 and 282798196? 282798196 Calculate the common denominator of -76/864231 and 59/24. 6913848 What is the smallest common multiple of 1216 and 17209649? 1101417536 Find the common denominator of -53/605700 and -157/4980. 50273100 What is the smallest common multiple of 1402977 and 184? 11223816 Find the common denominator of 53/138608175 and 63/3696218. 277216350 Calculate the lowest common multiple of 904096 and 171. 8136864 What is the least common multiple of 4602072 and 104? 59826936 What is the common denominator of -117/1840340 and 71/103472? 1641583280 Calculate the common denominator of 83/6956 and -15/2156. 3749284 What is the smallest common multiple of 18488370 and 64148? 258837180 Calculate the lowest common multiple of 2655 and 552606. 489056310 Calculate the smallest common multiple of 200 and 8612880. 43064400 Calculate the common denominator of 29/29606 and -151/21612. 319922436 Calculate the least common multiple of 19279446 and 20. 192794460 What is the common denominator of -181/17788710 and -77/85632? 1138477440 Find the common denominator of 2/52275 and -19/1932084. 48302100 Calculate the common denominator of 187/60 and 46/1189509. 23790180 What is the least common multiple of 7100870 and 38266? 376346110 What is the smallest common multiple of 18 and 8786128? 79075152 Calculate the common denominator of 56/63535 and 64/1105509. 5527545 Calculate the common denominator of 167/3795690 and 77/759138. 3795690 Calculate the common denominator of 125/252 and 121/641016. 4487112 What is the lowest common multiple of 5746377 and 14776398? 103434786 What is the smallest common multiple of 71126387 and 300393? 640137483 Find the common denominator of 50/3265801 and -57/12782. 6531602 Calculate the lowest common multiple of 16959264 and 1817064. 50877792 Calculate the least common multiple of 16391025 and 525. 16391025 Find the common denominator of -57/80 and -21/70359272. 703592720 Calculate the common denominator of 54/1963555 and 13/35343990. 35343990 Calculate the smallest common multiple of 5640 and 263768. 185956440 What is the common denominator of 86/21 and 68/37030383? 259212681 Find the common denominator of 37/49083408 and -65/96. 98166816 Find the common denominator of 57/2288 and 47/179088. 1969968 Calculate the least common multiple of 19737 and 1013166. 3039498 What is the smallest common multiple of 1155995 and 46775505? 1917795705 What is the common denominator of 129/110 and 74/8018427? 882026970 Find the common denominator of 2/490063 and 29/3. 1470189 Calculate the common denominator of -117/686 and 52/627501. 61495098 What is the lowest common multiple of 2603088 and 2928474? 23427792 Calculate the smallest common multiple of 25640685 and 5697930. 51281370 What is the least common multiple of 18861618 and 5? 94308090 Calculate the common denominator of -71/47397 and 5/51948. 22181796 Calculate the lowest common multiple of 5940864 and 16337376. 65349504 What is the common denominator of -49/83576 and -63/131440? 44295280 Calculate the least common multiple of 60088 and 4220. 63392840 Calculate the lowest common multiple of 5330688 and 548. 730304256 Calculate the common denominator of -35/188 and 81/2639848. 124072856 What is the lowest common mult
{ "pile_set_name": "DM Mathematics" }
meters? 35655.94 How many litres are there in 31327.58 millilitres? 31.32758 What is 26.4488 millilitres in litres? 0.0264488 Convert 169.5606 months to years. 14.13005 What is 1172.779 litres in millilitres? 1172779 What is 3/8 of a kilometer in meters? 375 What is 9/10 of a millennium in years? 900 What is 74/5 of a micrometer in nanometers? 14800 How many millilitres are there in thirteen quarters of a litre? 3250 What is thirty-two fifths of a milligram in micrograms? 6400 What is 0.465734 seconds in milliseconds? 465.734 What is twenty-seven quarters of a gram in milligrams? 6750 How many millilitres are there in three eighths of a litre? 375 Convert 868.4748ug to tonnes. 0.0000000008684748 What is fourty-six fifths of a milligram in micrograms? 9200 How many millimeters are there in 2/125 of a meter? 16 How many millimeters are there in eleven halves of a centimeter? 55 What is 134627.49 months in decades? 1121.89575 Convert 99.16755 hours to minutes. 5950.053 What is 7/4 of a gram in milligrams? 1750 What is 5781.161t in grams? 5781161000 What is 8.579896 millennia in centuries? 85.79896 What is 344.168cm in micrometers? 3441680 What is fifteen quarters of a tonne in kilograms? 3750 How many months are there in three tenths of a decade? 36 What is thirty-three fifths of a decade in years? 66 How many millilitres are there in 33/5 of a litre? 6600 What is 8/7 of a week in minutes? 11520 How many years are there in 1.5567579 months? 0.129729825 What is 86942.56 kilograms in micrograms? 86942560000000 How many years are there in 1/5 of a millennium? 200 How many tonnes are there in 6.59145 milligrams? 0.00000000659145 How many kilograms are there in 9.55748 tonnes? 9557.48 How many millilitres are there in six fifths of a litre? 1200 What is 12.0857076 microseconds in days? 0.000000000139880875 Convert 484.3661 decades to centuries. 48.43661 How many millimeters are there in three fifths of a meter? 600 How many months are there in 0.843885 decades? 101.2662 What is 808.1711 centuries in months? 969805.32 How many millilitres are there in seven halves of a litre? 3500 What is 3/8 of a centimeter in micrometers? 3750 How many micrograms are there in 519.6066kg? 519606600000 How many millilitres are there in twenty-one halves of a litre? 10500 Convert 93393.72 minutes to weeks. 9.26525 How many centimeters are there in 29.20394nm? 0.000002920394 What is 26/5 of a microsecond in nanoseconds? 5200 How many microseconds are there in one quarter of a millisecond? 250 What is 3/8 of a litre in millilitres? 375 What is twenty-one halves of a gram in milligrams? 10500 How many millimeters are there in thirty-seven halves of a centimeter? 185 What is 45621.59 hours in seconds? 164237724 How many litres are there in 4.423346 millilitres? 0.004423346 Convert 8604.765 centimeters to meters. 86.04765 How many nanograms are there in 21/8 of a microgram? 2625 How many millilitres are there in 3/25 of a litre? 120 What is twenty-five quarters of a litre in millilitres? 6250 What is 1/5 of a century in decades? 2 How many grams are there in 51/2 of a kilogram? 25500 Convert 4294.9584ns to hours. 0.000000001193044 What is 9/25 of a kilometer in meters? 360 How many nanometers are there in 37/2 of a micrometer? 18500 How many minutes are there in 138683.4 nanoseconds? 0.00000231139 What is sixty-seven quarters of a week in hours? 2814 What is 1346.258s in milliseconds? 1346258 Convert 2199.7455 months to decades. 18.3312125 How many years are there in 32781.3 months? 2731.775 How many litres are there in 8.895179 millilitres? 0.008895179 How many micrometers are there in 8498.597 centimeters? 84985970 How many millimeters are there in 650.0987 micrometers? 0.6500987 What is 4.220923 years in centuries? 0.04220923 What is sixty-four fifths of a gram in milligrams? 12800 What is 98551.11 hours in weeks? 586.61375 How many micrograms are there in 60.48022ng? 0.06048022 How many tonnes are there in 861896.3g? 0.8618963 What is 0.7515526 litres in millilitres? 751.5526 What is one tenth of a millennium in centuries? 1 How many months are there in 74/5 of a century? 17760 How many millimeters are there in 522577.2km? 522577200000 Convert 89.82039 millimeters to micrometers. 89820.39 Convert 90.13849 kilograms to grams. 90138.49 How many seconds are there in 3/50 of a day? 5184 What is five quarters of a gram in milligrams? 1250 Convert 24556.62 millilitres to litres. 24.55662 How many centimeters are there in 3/5 of a meter? 60 How many months are there in 1/5 of a millennium? 2400 How many years are there in 0.7255397 decades? 7.255397 How many tonnes are there in 3.603497mg? 0.000000003603497 Convert 0.6646635 weeks to hours. 111.663468 What is 26/5 of a litre in millilitres? 5200 What is 80.81055 minutes in nanoseconds? 4848633000000 How many minutes are there in five sixths of a week? 8400 How many minutes are there in 52/5 of a hour? 624 Convert 12433.64 litres to millilitres. 12433640 What is 18/5 of a hour in seconds? 12960 What is one twentieth of a century in months? 60 How many decades are there in 4638.548 centuries? 46385.48 How many grams are there in 0.8143647 kilograms? 814.3647 What is 4595.134l in millilitres? 4595134 How many centimeters are there in 21/4 of a meter? 525 How many months are there in 117.1452 centuries? 140574.24 How many days are there in 6241.428 nanoseconds? 0.00000000007223875 Convert 5.485284ml to litres. 0.005485284 How many centimeters are there in 1774.192nm? 0.0001774192 How many millilitres are there in three fifths of a litre? 600 Convert 33783.06ml to litres. 33.78306 Convert 905651.9l to millilitres. 905651900 How many millilitres are there in 43/2 of a litre? 21500 How many kilometers are there in 4959.229 meters? 4.959229 How many microseconds are there in 3/8 of a millisecond? 375 Convert 493.0037ml to litres. 0.4930037 What is 0.6380645cm in micrometers? 6380.645 How many kilograms are there in eleven halves of a tonne? 5500 How many micrograms are there in five eighths of a milligram? 625 What is 19/4 of a litre in millilitres? 4750 How many micrograms are there in 56050.94 milligrams? 56050940 How many millilitres are there in three fifths of a litre? 600 What is 13/4 of a millennium in decades? 325 How many micrometers are there in 21/4 of a centimeter? 52500 What is 1/5 of a meter in millimeters? 200 Convert 0.1243618 nanometers to kilometers. 0.0000000000001243618 What is 3/40 of a centimeter in micrometers? 750 How many millilitres are there in 426.0375 litres? 426037.5 Convert 226359.2 millimeters to centimeters. 22635.92 How many seconds are there in 1/15 of a minute? 4 How many months are there in 27/4 of a year? 81 How many centimeters are there in 5.760433mm? 0.5760433 What is twenty-one quarters of a millennium in months? 63000 How many grams are there in twenty-one quarters of a kilogram? 5250 Convert 88503.16ng to kilograms. 0.00000008850316 What is 4.995351 tonnes in kilograms? 4995.351 What is thirty-one sixths of a minute in seconds? 310 How many tonnes are there in 501189.2kg? 501.1892 How many months are there in twenty-three sixths of a millennium? 46000 How many millilitres are there in 3/8 of a litre? 375 What is 7/4 of a litre in millilitres? 1750 What is 3/8 of a kilometer in centimeters? 37500 What is 1/20 of a meter in micrometers? 50000 What is 17/2 of a centimeter in micrometers? 85000 How many nanoseconds are there in 1/4 of a microsecond? 250 How many centimeters are there in one tenth of a kilometer? 10000 How many nanograms are there in 577.8545 micrograms? 577854.5 How many nanoseconds are there in 5023.021 weeks? 3037923100800000000 Convert 84.5576km to meters. 84557.6 How many milligrams are there in 30002.55 grams? 30002550 Convert 0.4323039 months to millennia. 0.000036025325 Convert 205.2227m to millimeters. 205222.7 How many litres are there in 0.9552691ml? 0.0009552691 What is 29/5 of a litre in millilitres? 5800 What is 21/8 of a second in milliseconds? 2625 How many milligrams are there in 96270.85kg? 96270850000 How many years are there in 11/2 of a millennium? 5500 Convert 4.007514l to millilitres. 4007.514 What is one sixth of a week in minutes? 1680 How many second
{ "pile_set_name": "DM Mathematics" }
- -1) + 2. Let k = a - 17. Let z = -3 - k. What is the units digit of z? 9 Suppose 6*f - 3*j = f + 340, 3*f = 2*j + 204. What is the tens digit of f? 6 Let w(y) = -2*y - 3. Let v be w(-2). Suppose -2 = -r - v. Let u(b) = 4*b**3 + b**2 - b. What is the units digit of u(r)? 4 Suppose -360 = -5*p - 4*c + 9*c, 0 = 3*p - 5*c - 218. What is the units digit of p? 1 Let z be 2 - (1 - 2)*1. Let j(y) = 2*y**2 + y**z - 8*y - 3*y**2 + 8 - 5*y**2. What is the units digit of j(7)? 1 Let h(k) = -k**3 - 6*k**2 + 12*k + 3. Let s be h(-9). Suppose -32 = -q - 4*u, 2*u + s = -q + 4*q. What is the tens digit of q? 4 What is the tens digit of (2 - -1)*(-96)/(-9)? 3 Let q = 5 - 4. What is the units digit of ((-4)/3)/(q/(-3))? 4 Suppose 3*n = 7 - 19, 167 = 3*u - 2*n. Suppose 0 = -5*y - 2*j + u + 5, -y = -j - 13. What is the tens digit of y? 1 Suppose 1 = y + 11. Let k be (y/(-4))/((-2)/(-20)). Let n = k + -11. What is the units digit of n? 4 Suppose -z = z + 42. Let m = z + 34. What is the tens digit of m? 1 Let u be ((-10)/(-15))/((-2)/6). What is the tens digit of (1/u)/((-3)/90)? 1 Suppose -16 + 61 = -3*b. Let w = b - -20. What is the units digit of w? 5 Suppose s + 15 = -a + 3, -4*s - 2*a = 40. What is the units digit of s/1*3/(-6)? 4 Let x(i) = 9*i - 13. What is the tens digit of x(7)? 5 Suppose -2*m = -6*m + 8. Suppose c + 21 = -2*r, -c + 19 = -4*r + m*r. What is the units digit of 4/r + 74/10? 7 Let l = -17 + 28. What is the units digit of l? 1 What is the tens digit of ((-153)/(-6))/(-3)*-2? 1 Suppose 2 = 2*y + 4*n - 52, 0 = 4*y - 2*n - 148. What is the units digit of y? 5 Suppose -5*r + 3*l = -2 - 15, 0 = 5*r + 2*l + 3. What is the units digit of -1*(-8 - (4 - r))? 1 Suppose 3*r - 8*r + 215 = 5*t, -5*r = -2*t - 222. Let w = -4 + 4. Suppose w = 4*f - 0*f - r. What is the tens digit of f? 1 Suppose 4*w - 3 - 5 = 0. Let x be ((-2)/(-4))/((-1)/w). What is the units digit of (-2 + x)*(-1)/3? 1 Suppose -13 = -c - 4*y, 5*c + 35 = 6*y - y. What is the units digit of c/(((-63)/(-12))/(-7))? 4 Let h = 117 - 61. What is the units digit of h? 6 Let u = 45 + -29. What is the tens digit of u? 1 Suppose -7*o + 2*o - 20 = 0. Let t = 5 - o. What is the units digit of t? 9 Let n(o) = 187*o + 1. Let c be n(1). Let q be (-3)/6 - c/8. What is the units digit of (q/9)/((-4)/18)? 2 Suppose 7*u - 238 = 868. What is the tens digit of u? 5 Let p(i) = -i**3 + 4*i**2 - 2*i - 1. Let a be p(3). Let v be 1*a - 5/(-5). Suppose -1 = -v*k + 2. What is the units digit of k? 1 Suppose -m + 3*m = 0. Let g = m - -3. Let k = 5 - g. What is the units digit of k? 2 Let p(r) = r**2 - r + 25. Let l be p(0). Suppose -5*w = -l, 0 + 2 = c - w. What is the units digit of c? 7 Let w(p) = 2*p**2 - p. Let r(s) = -s**3 - 9*s**2 - 8*s + 3. Let o be r(-8). Let k be w(o). Suppose k = -3*g + 54. What is the units digit of g? 3 Suppose 3*g = 3*c - 8*c + 409, -c = 3*g - 89. Suppose 20 = 4*i + 4*o - c, -4*o - 96 = -3*i. What is the tens digit of i? 2 Let j(v) = 16*v - 9. What is the tens digit of j(5)? 7 Let h be 0/(-2) + 180/2. Suppose -3*o - 33 = -h. What is the tens digit of o? 1 Let i be 8/12*(18 + 0). Suppose c - i = -2*q, -5 = 3*q - 14. What is the units digit of c? 6 Let l = -26 - -53. What is the units digit of l? 7 Let m(o) = -o + 10. Let y be m(9). Let u(v) = 2*v**2 - 2*v + 1. Let l be u(y). What is the units digit of (-2)/l*(-6)/3? 4 Let g(n) = 16*n + 1. Let w be g(1). Let i = w + -8. What is the units digit of i? 9 Let t(b) = -b**2 - 12*b - 5. Let s be t(-11). Suppose -3*y + 2*j = -38, s*y - 2*y + 2*j - 60 = 0. What is the tens digit of y? 1 Let z = -7 - -1. Let h be z/(2 - 5) - -1. Suppose -4*l = 2*k - 0*k + 8, 28 = 4*k - h*l. What is the units digit of k? 4 What is the tens digit of (3 + 2)/(-5)*-193? 9 What is the tens digit of (5 + -57)*1/(-4)? 1 Let t(z) = z**3 - 5*z**2 + z - 6. Let q be t(5). What is the tens digit of (0 + -5)/q*3? 1 Let r(s) = -16*s**3 - s - 1. Let l be r(-1). Suppose 0*a - 4*a = -l. What is the units digit of 5/(-10) + 38/a? 9 Suppose 0 = -0*x - 7*x - 56. Let p(m) = -8*m + 7*m**2 - m**3 + 9 + 2*m**3 - m. What is the units digit of p(x)? 7 Suppose -5*l + 3*l = -3*c - 9, -3 = -3*l + c. Let j(m) be the second derivative of m**4/12 - m**3/6 + 10*m**2 + 2*m. What is the units digit of j(l)? 0 Let k(s) = s**2 - 3*s + 12. What is the units digit of k(7)? 0 What is the units digit of -12*(9/2)/(-3)? 8 Suppose 4 = 4*o - 12. Suppose 7 = 4*f - v, -f + 3*v = o*f. What is the units digit of f? 3 Let u = 0 - 2. What is the units digit of ((-20)/6)/(u/6)? 0 Let f(k) = -k**2 + 9*k - 4. What is the tens digit of f(7)? 1 Let d(h) = h**3 - 6*h**2 + 9*h - 5. What is the tens digit of d(6)? 4 Let i = 5 - -2. Suppose -5 - 5 = -2*j + 4*p, 0 = j - 4*p - i. What is the units digit of j? 3 Let n(o) = o**2 - 16*o + 19. Let v be n(15). What is the units digit of 24*v/8*2? 4 Suppose 0*x - 4*x + 4*k = -4, 4*x = -3*k + 11. Suppose 1 = x*l - 25. What is the units digit of l? 3 Suppose 0*y - 4*y = -4*t + 652, -2*y = t - 154. What is the units digit of t? 0 Suppose -3*w = -5*w + 10. Suppose o + 0 = w. What is the units digit of o? 5 Let r be (2/4)/(5/50). Suppose 6*i - 2 = r*i. What is the units digit of i? 2 Suppose 306*o - 72 = 302*o. What is the units digit of o? 8 Let d(j) = -13*j + 1. Suppose 4*x = 3*x - 3. Let a be d(x). Suppose 0*c + 4*c = 2*l - 22, 4*l - a = 4*c. What is the units digit of l? 9 Suppose -u + 3*m - 12 = -0*u, m = 5*u - 10. Suppose d - 4*o - 150 = -4*d, 5*o = -u*d + 53. What is the tens digit of d? 2 Let b(n) = 2*n**2 - 2*n - 2. Let w be b(2). Suppose 6 = -w*u + 4*j, 4*u - 5*j + 6 = -6. What is the units digit of (4/6)/((-1)/u)? 2 Suppose -2*l = 3*s + 3*l + 25, 2*s + 15 = -3*l. Suppose s = 4*x - 3 - 17. What is the units digit of x? 5 What is the tens digit of (12/(-36))/(1/(-33))? 1 Suppose 3*w = 7 + 5. Suppose -y - 2 = -w. Suppose -y*m - 59 = -5*i - 5*m, 4*m = -2*i + 32. What is the tens digit of i? 1 Suppose -i - 3*f + 1101 = 4*i, 3*i = -5*f + 667. What is the hundreds digit of i? 2 Let l(t) = 2*t**3 - 2*t**2 - 3*t + 2. Let a(u) be the second derivative of u**4/12 + 2*u**3/3 + u**2 - 4*u. Let k be a(-4). What is the units digit of l(k)? 4 Suppose 5*a + 0*o - 3*o = 338, 4*a - o - 269 = 0. What is the units digit of a? 7 Let h(b) = -b**3 + 4*b**2 + b. Let q be h(3). Let w be ((-3)/(-4))/((-2)/8). What is the units digit of (-7)/w - 4/q? 2 Let y(g) = -6*g + 2. Let o(l) = l. Let c(p) = -5*o(p) - y(p). What is the units digit of c(6)? 4 Suppose -o = 4*o - 190. What is the tens digit of o? 3 Let v(u) = -u - 1. Let z be -15*(-2 - (-10)/6). Let f = z + -7. What is the units digit of v(f)? 1 What is the tens digit of (-8)/(-4) + -6 + 2 - -138? 3 Let f(u) = u**2 - 46. Let z be f(0). Let k = 89 + z. What is the tens digit of k? 4 Let x be -2*7/((-28)/256). Suppose u + 132 = 5*u - 4*p, 4*u - 2*p = x. What is the units digit of u? 1 Let r(a) = -a + 12. Let v be r(9). Suppose 27 = v*d + 9. What is the tens digit of (15/2)/(d/8)? 1 Let d be (-35)/(-5)*8/14. Suppose -2*y = d*w - 5*w + 26, 0 = -4*w - 4*y + 56. What is the units digit of w? 8 Let k = 31 + 40. Suppose -3*h - 4*m + 181 = 0, -k = 4*h - 3*m - 329. What is the units digit of ((-4)/6)/((-6)/h)? 7 Suppose -3*f - 121 = -4*t - 6*f, -2*t - 3*f = -59. Let q be -1*t*(0 + -1). Suppose q = 2*a + v - 6*v, 4*a - v = 35. What is the units digit of a? 8 Suppose -5*z + 3*z = -2. What is the units digit of z? 1 Let j(u) = u**3 - 3*u**2 + u + 2. Let b be j(2). Let r(z) = 0*z - 8 + b*z + 2*z. What is the units digit of r(6)? 4 Suppose -3*v - 4*f = 29, 2*v = f + f - 10. Let h(t) = 2*t**2 + t - 4. Let s be h(-3). Let u = s + v. What is the units digit of u? 4 Let y(a) = 3*a**2 + a. Let k be y(-1). Suppose -5*j - 26 + k = -3*h, 3*h = j + 12. Let f = -2 + h. What is the units digit of f? 1 Let m = 12 - -3. What is the units digit of m? 5 Suppose -2*c - 3*f + 2 = -4, c = -5*f + 10. Suppose 2*p + 2*p - 24 = c. Let k = 9 - p. What is the units digit of k? 3 Suppose 3*w + 2248 = 11*w. What is the units digit of w? 1 Suppose 0 = -s - 2*s + 228. What is the tens digit of s? 7 Let o(i) be the second derivative of -i**4/24 + 7*i**3/6 + i**2 + i. Let s(c) be the first derivative of o(c). What is the units digit of s(5)? 2 Let x(r) = -r**3 - 6*r**2 - 5*r + 6. Let o be
{ "pile_set_name": "DM Mathematics" }
d + 31328*w**2 wrt d. -12*d*w**2 - 68*d*w + 12*d + 3 What is the third derivative of 7911*g**3*l**2*u + 4*g**3*u + 4*g**2*l**2 - 3*g**2 + 2*g + 32*l**2*u wrt g? 47466*l**2*u + 24*u Find the first derivative of 122*b*f*j*k + 2*b*f*j - 3*b*f*k**2 + 2*f*j*k**2 + 116*f*j*k - 7*f*k - 2*j*k**2 wrt b. 122*f*j*k + 2*f*j - 3*f*k**2 Differentiate -1768*r*v**2 - 209*r*v - 603864*r with respect to v. -3536*r*v - 209*r Differentiate -1669289*r + 160082. -1669289 Find the second derivative of j**2*w**4 + 179*j**2*w**2 - 2951*j**2*w - 33*j*w**2 - 19*j*w wrt w. 12*j**2*w**2 + 358*j**2 - 66*j What is the second derivative of 147*a**5*v + 10*a**3 - a**2*v**2 + 3*a*v**2 - 13434*a*v - 2*v**2 wrt a? 2940*a**3*v + 60*a - 2*v**2 Find the second derivative of 361296*x**2 + 19023*x - 7. 722592 Differentiate -38*f*q**3 - 9277*f + 189*q + 4 wrt q. -114*f*q**2 + 189 Find the second derivative of 40145*n**2 + 104*n - 43 wrt n. 80290 What is the derivative of -101255*c**3 - 62160 wrt c? -303765*c**2 What is the second derivative of -74*x**5 + 69*x**4 + x**3 + 2*x + 1103? -1480*x**3 + 828*x**2 + 6*x Find the second derivative of 12592*p**3 + 99582*p. 75552*p What is the derivative of 3244822*z**2 - 1399482? 6489644*z What is the first derivative of 546226*v**4 + 406039 wrt v? 2184904*v**3 Find the second derivative of -59858*u**3 - 2*u**2 - 146412*u. -359148*u - 4 Find the third derivative of 866062*t*u**3*x**3 - 109*t*u*x**3 + t*u*x - 9*u**2*x**3 - 2*u**2 - u*x + 21*x**2 wrt u. 5196372*t*x**3 What is the third derivative of -18192*d**5*n - 4*d**3*n**3 - 136182*d**2*n**2 - 2*n**3 wrt d? -1091520*d**2*n - 24*n**3 Differentiate 35208*k**2 - 46797. 70416*k What is the third derivative of 125*j**3*m + 109*j**3 - 9*j**2*m + 23*j**2 - 3*j*m - 13*m wrt j? 750*m + 654 Differentiate 29*i**2*p**2 - 35*i**2 - 49*i - 93*p**2 + 1 wrt p. 58*i**2*p - 186*p What is the third derivative of -1025464*o**3 - 156114*o**2 wrt o? -6152784 Find the third derivative of 43*p**5 - 3*p**4 + 295164*p**2 wrt p. 2580*p**2 - 72*p What is the second derivative of -150734*w**4 - 3*w - 4328 wrt w? -1808808*w**2 Differentiate -29343*o**2*u**2*v**2 + o**2*u**2 - 2*o**2*v**2 - o**2 + 2*o - 768*u**2 wrt v. -58686*o**2*u**2*v - 4*o**2*v What is the first derivative of -237*r**3 - 697*r**2 + 206976? -711*r**2 - 1394*r What is the derivative of -1319*d*g**2 - 78*d*g - 140*g**2 - g - 5 wrt d? -1319*g**2 - 78*g Find the second derivative of 1403*h**4 + 3*h**3 - 2*h**2 - 5006*h + 8. 16836*h**2 + 18*h - 4 Find the second derivative of 394*d**4 - 2*d**3 - 8*d**2 + 11*d + 8292 wrt d. 4728*d**2 - 12*d - 16 What is the second derivative of -3871153*t**2 - 11466*t + 37 wrt t? -7742306 Find the second derivative of 3030025*m**3 + 25259*m + 54. 18180150*m What is the second derivative of -115412*w**5 + 3*w**4 + 1987*w - 91? -2308240*w**3 + 36*w**2 What is the third derivative of -68*u*z**3 + 6*u*z + 1048*z**3 - z**2 + 772 wrt z? -408*u + 6288 What is the first derivative of -5*c**3 + 1170*c - 10486? -15*c**2 + 1170 Find the second derivative of 2*w**4 + 34*w**3 + 334*w**2 - 240610*w wrt w. 24*w**2 + 204*w + 668 Find the third derivative of -695*v**2*x**3 - 21*v**2*x**2 + 4*v**2*x - 2*v*x**3 + 3*x**3 + 6*x**2 wrt x. -4170*v**2 - 12*v + 18 What is the second derivative of 6*q**2*w**2*x - 5*q**2*w + 1278*q**2*x + 4*q*w**2 + q*w*x + 480*q*w - 26*q + 2*x wrt q? 12*w**2*x - 10*w + 2556*x What is the second derivative of -4828*d*k**3 - 2*d*k + 8*d + 89*k**3 - 16728*k wrt k? -28968*d*k + 534*k What is the first derivative of -5407501*k**2 + 1914953 wrt k? -10815002*k Find the second derivative of 244486*k**3 + 134431*k. 1466916*k Differentiate 3505664*g**2 - g - 2491679 wrt g. 7011328*g - 1 What is the derivative of 95*j*l**2*s + 382*j*l*q + 2*j*q - 9*j*s + 2*j + 3*l**2*q*s - 2 wrt q? 382*j*l + 2*j + 3*l**2*s Find the third derivative of 2485*c**3*u**3 + c**3*u**2 + 2*c**3*z**3 - c**2*u**2*z - 7*c*u**3*z**3 + 69*c*u*z**3 - c*u*z wrt u. 14910*c**3 - 42*c*z**3 What is the second derivative of -1846543*n**2 + 486993*n - 5 wrt n? -3693086 What is the derivative of 54254*a + 164000 wrt a? 54254 Find the third derivative of -717012*i**3 + 57*i**2 - 786*i - 1 wrt i. -4302072 What is the first derivative of 66*z**2 - 454*z - 317683 wrt z? 132*z - 454 What is the second derivative of -20*k**4*q - 1324*k**2*q - 1043*k*q - 27*q wrt k? -240*k**2*q - 2648*q What is the third derivative of 11415*p**4*t**3 + 2*p**4*t - 11*p**2*t + 864*p**2 - p*t**3 wrt p? 273960*p*t**3 + 48*p*t Find the second derivative of 20*q**3 + 186*q**2 + 3147*q - 3 wrt q. 120*q + 372 What is the third derivative of -680*i**2*v**3 - 685*i**2*v**2 + 12*i*v**3 - 3*v**3 + 3*v**2 wrt v? -4080*i**2 + 72*i - 18 Differentiate 9*g**2*i*t - g**2*i + 2*g**2*k + 130*g**2 + 2*g*i*k*t + 3*g*i*t - 6794*i*k - 2*i*t with respect to k. 2*g**2 + 2*g*i*t - 6794*i What is the derivative of 47476*t**4 + 2*t**2 - 2*t + 73931 wrt t? 189904*t**3 + 4*t - 2 Differentiate -27437*y**4 + 37687. -109748*y**3 What is the third derivative of 4*n**3*z**2 + 87532*n**3 - 2*n**2*z**2 + 5*n**2*z - n**2 - 3*z + 1195 wrt n? 24*z**2 + 525192 What is the second derivative of -3*c**5 + 3241*c**4 + 4*c**3 + 49348*c wrt c? -60*c**3 + 38892*c**2 + 24*c What is the first derivative of -109513*p - 19885 wrt p? -109513 Find the second derivative of -3*f**3 - 90785*f**2 + 703941*f. -18*f - 181570 Differentiate -24228*h**3 - 6*h**2*j**2 + 3*j**2 + 536*j - 49 wrt h. -72684*h**2 - 12*h*j**2 What is the second derivative of 5191*b**2*x**2 - 4*b**2 - 4*b*x**2 + 2656*b*x wrt x? 10382*b**2 - 8*b What is the first derivative of 42*f**4 + 64*f**3 - 8*f + 276009? 168*f**3 + 192*f**2 - 8 What is the derivative of -2*i**3 - 256*i**2 - 231*i - 587404 wrt i? -6*i**2 - 512*i - 231 What is the third derivative of 21*i**6*y**2 + 1166*i**3*y**2 - 20*i**2*y**2 - 3*i*y - 4*i wrt i? 2520*i**3*y**2 + 6996*y**2 What is the first derivative of 1701868*h - 1663146 wrt h? 1701868 What is the third derivative of j*o**4 + j*o**3 - 3*j*o**2 - 2*j*o + 272*j + 559*o**5 - 3*o**2 wrt o? 24*j*o + 6*j + 33540*o**2 What is the first derivative of 2*i*q*s*u**3 - 10627*i*s*u + i*u**3 - 3*q - 2*s*u**3 - 34575*s*u wrt i? 2*q*s*u**3 - 10627*s*u + u**3 What is the third derivative of -34747*i**3*o**2 + 2*i**2*o**2 + i**2 + 120*o - 4 wrt i? -208482*o**2 What is the second derivative of 288467*w**4 - w + 11908 wrt w? 3461604*w**2 Find the second derivative of -a**3*u**4 - 12*a**3*u + 2*a**2 - 26890*a*u**4 - a*u + 359*u wrt u. -12*a**3*u**2 - 322680*a*u**2 What is the third derivative of -18*g**3*o**3*p + 130*g**3*o*p**2 + 5*g**3 - 2*g**2*o**2 - 1128*g**2*p**2 - 4*g*o**3*p**2 - 2*g*o wrt g? -108*o**3*p + 780*o*p**2 + 30 Find the third derivative of -31857*i**6 + 2*i**2 - 356*i wrt i. -3822840*i**3 Find the second derivative of -322362*x**2*z**2 - 14*x**2*z + 38*x**2 + 2*z - 2 wrt z. -644724*x**2 What is the first derivative of 2*k**4 - 148868*k - 139950? 8*k**3 - 148868 What is the third derivative of -s**2*x**3*y + 31*s**2*x + 2*s**2 - 2*s*x**2 + 218105*x**5*y - x**2 + 15*x*y wrt x? -6*s**2*y + 13086300*x**2*y Find the third derivative of -23613*h**6 + 2*h**5 - 21773*h**2. -2833560*h**3 + 120*h**2 Find the third derivative of -54*f**5 - 22*f**4 - 1050*f**2 + 11. -3240*f**2 - 528*f Differentiate -68*h**3*l - 351*h**2*l**3 - 291*l**3 - 321*l wrt h. -204*h**2*l - 702*h*l**3 Find the first derivative of 1382947*h - 836427 wrt h. 1382947 Find the second derivative of 4*c**5 + 331*c**2 + 88492*c wrt c. 80*c**3 + 662 Find the second derivative of 765145*j**2 + 77648*j - 4. 1530290 Differentiate -927101*h - 1306901 with respect to h. -927101 What is the third derivative of -8*v**6 - 108*v**5 - 3*v**4 + 5287*v**2 - 5*v? -960*v**3 - 6480*v**2 - 72*v Differentiate -48*d**3 - 26*d**2 - 5*d + 38508 wrt d. -144*d**2 - 52*d - 5 Differentiate 100643*m + 75783. 100643 What is the first derivative of -14*h**3 - 112424*h - 594882 wrt h? -42*h**2 - 112424 Find the second derivative of 829775*v**5 - 2*v - 258316. 16595500*v**3 What is the second derivative of 884422*d**2*z + 1536*d - 224*z wrt d? 1768844*z Differentiate -18104*o**2 + o + 1043 wrt o. -36208*o + 1 What is the third derivative of k**5 + 2012*k**4*m + 4*k**3*m + 5*k**2*m + 2220*k**2 wrt k? 60*k**2 + 48288*k*m + 24*m Wha
{ "pile_set_name": "DM Mathematics" }
727/8 Is -1 at least as big as 13/28? False Which is bigger: -21 or -13? -13 Which is greater: -2 or -19/15? -19/15 Which is smaller: -110/17 or 8? -110/17 Is 147/50 bigger than 2? True Is -2909 != -2911? True Which is greater: -1 or -3/20519? -3/20519 Which is smaller: -161 or -162? -162 Are 199 and 197 nonequal? True Which is greater: 265 or 2123/8? 2123/8 Is 527 greater than 526? True Which is greater: 16112 or 16111? 16112 Is -1 equal to 1/24? False Which is bigger: 98 or 99? 99 Is -1 less than -12/229? True Is -2483 greater than or equal to -2486? True Which is smaller: 140 or 144? 140 Which is smaller: 0 or 1/13? 0 Is -1501 greater than or equal to -1504? True Is 6/13 > 0.118? True Which is smaller: 8268/5 or 1655? 8268/5 Is -99 smaller than -98? True Is -1 greater than 4714? False Which is smaller: 64 or -3? -3 Which is smaller: -1 or -5/29? -1 Which is bigger: 0 or -3/1229? 0 Is 1 greater than 2/4639? True Are 103 and 13.9 equal? False Is -197 >= -197? True Which is greater: -5767 or 2? 2 Are 81 and 163/2 nonequal? True Which is smaller: -1 or -3/41924? -1 Is 6 >= -504? True Is -1 < -809.5? False Is 178 at most 176? False Which is smaller: 0.2 or -8? -8 Is -1 at least as big as -2/84399? False Is -14570 < -14570? False Is -130 >= -126? False Is -40 >= 135? False Is 159 bigger than 0.079? True Which is smaller: -0.08 or -238? -238 Which is bigger: 1 or 4171? 4171 Which is smaller: -360 or 0.1? -360 Is -45 at most -45? True Which is bigger: 56 or -4? 56 Are 134 and 137 non-equal? True Which is smaller: -0.087 or 0.17? -0.087 Is -370 greater than -380? True Which is bigger: -12768 or -12769? -12768 Which is smaller: -2/11 or -943? -943 Which is bigger: 57 or 52? 57 Which is smaller: -36 or -357/10? -36 Are -58 and -53 nonequal? True Is 2/5043 not equal to -1? True Which is bigger: 1/16897 or 0.1? 0.1 Does -275 = 1/2? False Is -9/59 at least -1? True Is -627 >= -1? False Which is smaller: 1 or -27/340? -27/340 Which is bigger: -3/13 or -584? -3/13 Is -6606 at most as big as -6603? True Which is bigger: 2134 or 2133? 2134 Which is greater: -37421 or -0.1? -0.1 Which is smaller: -4229 or -4233? -4233 Is 4304 at most as big as 4303? False Which is bigger: 115 or 100? 115 Which is bigger: -28 or -33? -28 Are 21 and 331/15 nonequal? True Which is bigger: 24 or 176/7? 176/7 Is 1072 at least as big as 1072? True Do 2/77 and -5/4 have the same value? False Are 0 and 5/27 equal? False Is -1646 at least -1644? False Is 188 bigger than 191? False Which is smaller: 1 or 157? 1 Is 1 smaller than 8/241? False Which is greater: 1742 or 1743? 1743 Is -50 >= -48? False Are 20 and -1.4 equal? False Is -149 < -151? False Is -4/77 < 1? True Which is smaller: 4 or 65/16? 4 Which is smaller: 61 or -5? -5 Is 0.23 less than or equal to 4/29? False Is -2/18831 <= 0? True Which is greater: -10/471 or -1? -10/471 Which is smaller: 0.1 or -1784? -1784 Do 21 and -266 have the same value? False Which is smaller: -15.4 or 0.2? -15.4 Do 0.002 and -9 have the same value? False Is -0.3 != -12/25? True Which is smaller: -5880 or 3? -5880 Which is greater: -1 or 26/255? 26/255 Is -1 != 2/5173? True Which is smaller: 19 or 24? 19 Is -470 not equal to -470? False Which is smaller: 6.5 or 73? 6.5 Which is greater: -60 or -772/13? -772/13 Is 123 greater than or equal to 121? True Is -62/7 at least -8? False Is 8609 <= 8610? True Does 23 = 27? False Is -2 at most as big as -11/17? True Is -12678 not equal to -12678? False Which is greater: -10 or -221/20? -10 Which is smaller: 3 or -0.136? -0.136 Is 3496 at most as big as 3496? True Is -3 <= -45/19? True Which is greater: -1 or -11/75? -11/75 Which is bigger: -5 or -0.62? -0.62 Which is bigger: 0 or -38.7? 0 Which is bigger: 6822 or 6824? 6824 Which is smaller: -1 or 22? -1 Is -3367 > 3? False Which is greater: -5 or -25? -5 Which is smaller: 70 or 74? 70 Which is greater: -26 or -12? -12 Which is smaller: 31 or 350/11? 31 Is -302 at most -320? False Is -1 at least 10/757? False Which is greater: -2 or -89/112? -89/112 Is 40/39 greater than or equal to 0? True Which is smaller: -2/5877 or 1? -2/5877 Which is bigger: 4 or 77/18? 77/18 Is 210 bigger than 3? True Which is smaller: -1/4 or -5276? -5276 Which is greater: -1225 or -1231? -1225 Is 0 equal to 1/14243? False Which is smaller: -388 or -8? -388 Which is bigger: 37 or 12? 37 Which is smaller: -79 or -171? -171 Is 18458 <= 2/3? False Is 158/3 not equal to 54? True Which is bigger: -2/5857 or 0? 0 Are 0 and 8/257 unequal? True Do -55 and 5 have the same value? False Which is smaller: -95 or -107? -107 Which is bigger: 0 or 3/166? 3/166 Which is smaller: -271 or -67? -271 Is 14 at least as big as 0? True Is 13/330 at least as big as 0? True Which is greater: 1 or 41/6? 41/6 Is -109 smaller than -109? False Is -4 bigger than 71? False Is -357/94 smaller than -5? False Is -1.692 bigger than 0? False Which is greater: 2 or 446? 446 Which is smaller: 59/29 or 1? 1 Which is greater: 0 or 43? 43 Which is smaller: 90 or 0.3? 0.3 Is -10/19 less than -1? False Is -294 greater than or equal to -295? True Is -1/8803 greater than or equal to -1? True Which is smaller: 0 or -2/9223? -2/9223 Is 151 bigger than -1/8? True Which is greater: 150 or 744/5? 150 Which is smaller: -266 or -255? -266 Do 0 and -1/449 have different values? True Does -50 = -648/13? False Which is bigger: 1 or -4/243? 1 Which is smaller: 26/133 or 1? 26/133 Which is smaller: -2.3 or -2/9? -2.3 Which is smaller: 981 or 982? 981 Which is bigger: 0.097 or -178? 0.097 Which is smaller: 7 or -0.01? -0.01 Is -3130/33 < -96? False Which is bigger: -2.1 or -9? -2.1 Which is smaller: -68 or -343/5? -343/5 Is -626 > -0.06? False Is 155 less than 931/6? True Which is bigger: -207 or -0.4? -0.4 Which is greater: 113 or 109? 113 Which is smaller: -10/59 or -3/5? -3/5 Are -183 and -2 equal? False Which is greater: -114 or 2/5? 2/5 Are 2 and -83 non-equal? True Is -22/105 at least 1? False Do -9159 and -9160 have different values? True Which is smaller: -23 or -10? -23 Are 84 and 84 unequal? False Is -2/9 smaller than -3205? False Is 1517 greater than or equal to 1516? True Is 427/172 > 2? True Is -1838/3 <= -613? False Is 1 != -2/1693? True Is 10/337 smaller than 1? True Is -2 < -19/17? True Which is bigger: -1 or 26/901? 26/901 Is 3 not equal to 5? True Is -969 at most -973? False Which is bigger: 29/141 or 0? 29/141 Is -628 > -628? False Is 146 at least 146? True Which is bigger: 99 or 133? 133 Which is greater: -1 or -12? -1 Which is smaller: 0.1 or 420? 0.1 Is -1791 less than or equal to -1792? False Are 39 and 9 unequal? True Is 11250 bigger than 22501/2? False Is 478/63 bigger than 7? True Is 335 bigger than 325? True Which is bigger: -14/15 or -4.1? -14/15 Which is smaller: -0.83 or 2/53? -0.83 Is 138 smaller than 126? False Are 658 and 656 non-equal? True Which is bigger: -2540 or -2549? -2540 Which is bigger: 26 or 29? 29 Are -20/1367 and 1 unequal? True Which is bigger: 1/1139 or -1? 1/1139 Is 0.07 > -2/4631? True Does 0 = 30? False Which is smaller: 64 or 56? 56 Is -1 < 0.0449? True Which is greater: -452 or -451? -451 Which is smaller: -73 or -3054/41? -3054/41 Is 6210 at least 6211? False Which is greater: -1 or 5/639? 5/639 Which is bigger: 822 or -1? 822 Which is bigger: -0.1 or 323? 323 Is -657 <= -638? True Does -13 = 98? False Are -4427 and -4424 unequal? True Which is smaller: -216 or -218? -218 Is -32 greater than or equal to -41? True Which is bigger: 153/4 or 38? 153/4 Is -1.9 smaller than 23.9? True Which is smaller: 35 or 415/12? 415/12 Which is smaller: -260 or -259? -260 Which is greater: 2/123 or -1? 2/123 Are 2163 and 2164 equal? False Which is smaller: 4/37 or 0? 0 Which is bigger: -2 or -16/5? -2 Is 2839 at most as big as 2839? True Which is smaller: -21/29 or 0? -21/29 Which is greater: 9650 or 9647? 9650 Are -769 and -771 nonequal? True Which is greater: -116 or -118? -116 Which is smaller: 753 or 749? 749 Is -943 at most as big as -944? False Which is bigger: -3 or -39/22? -39/22 Is 125 <= -117? False Is -199 not equal to -112? True Which is bigger: 328 or -2? 328 Which is smaller: -9910 or -9911? -9911 Which is greater: -522 or -1043/2? -1043/2 Do 7 and 109 have different values? True Which is
{ "pile_set_name": "DM Mathematics" }
Does 29 divide w? True Suppose 11*h - 15 = 8*h. Suppose -2*r - h*q = -q - 20, 20 = 2*r - q. Does 3 divide -4 - (3 - r/1)? True Suppose 10*c - 15*c = -2*h - 8404, 0 = 4*c + 2*h - 6716. Does 35 divide c? True Let d = -85 + 43. Let p be 454/6 - (-2)/(-3). Let i = p + d. Is 11 a factor of i? True Suppose 3*v + 426 = -732. Let y = -139 - v. Is 40 a factor of y? False Suppose -k - 4 = a - 5*a, 1 = 3*k + a. Suppose 2*c + 3*c + 340 = k. Let q = -47 - c. Is q a multiple of 5? False Let g(y) = y**3 + 9*y**2 + 8*y - 1. Let k be g(-8). Let b(m) = -93*m**3 - 2*m**2 + 1. Is b(k) a multiple of 22? False Let h be -8*46/(-4) + -3. Let g = h + 3. Is 12 a factor of g? False Suppose -5*z - 2779 = -4*h, -2*h - 2*z + 190 + 1186 = 0. Does 75 divide h? False Let h(q) = 4*q**3 - 14*q**2 - 23*q + 76. Is h(8) a multiple of 29? True Let i(r) = -2*r**2 - 2*r + 4. Let p be i(-2). Let m(k) = k**2 - k + 33. Is 11 a factor of m(p)? True Let b be (-2 - 2) + (2 - 4). Is 39 a factor of -7 - (b + 0) - (-148 - 1)? False Suppose -3*x + 30 + 18 = 0. Let p = x + 19. Is p a multiple of 15? False Let g(o) = -o**2 + 10*o + 11. Let n be g(9). Is n/(-4)*(-24)/10 a multiple of 12? True Let q(k) = -3*k**3 - 33*k**2 + 14*k + 8. Is q(-12) a multiple of 20? False Is ((-440)/(-176))/(1 - (-181)/(-182)) a multiple of 11? False Suppose -5*t = -5*k + 695, -t + 677 = -3*k + 8*k. Let u = -70 + k. Is 11 a factor of u? True Let x = 1 + 5. Let s(g) = g**3 - 11*g**2 + 16*g - 6. Let m(t) = -t - 1. Let h(d) = -2*m(d) - s(d). Is h(x) a multiple of 12? False Suppose 0 = 6*q - 3*q + 5*h + 11, 8 = 4*q + h. Suppose -q*t + 161 = a - 45, 4*a + 196 = 3*t. Does 15 divide t + (-2*4 - -4)? False Suppose -13*r - 3*r = -2368. Is r a multiple of 23? False Suppose -14*i = -16*i + 8. Suppose -4*s - i*x = -576, 117 + 33 = s - 2*x. Is s a multiple of 29? False Let b(u) = -10*u - 9. Let y be b(-6). Suppose 3*x = -y - 0. Let j = -10 - x. Is j a multiple of 5? False Is 40/(-12)*(-150)/4 a multiple of 4? False Let n(h) = h**3 + 13*h**2 - 13*h + 18. Let t be n(-14). Suppose t*z - 26 = 2. Does 2 divide z? False Let k = 574 + 1193. Does 57 divide k? True Does 9 divide (-61)/((-4)/(-5) - (-63)/(-60))? False Suppose -3*s = -5*z + 3*z + 4, -2*z + 4 = 3*s. Suppose s = -u - 10*u + 3300. Does 22 divide u? False Is 2/(-32) - 132484/(-64) a multiple of 45? True Let r = 392 + -314. Is 26 a factor of r? True Suppose 4*t - 20 = 0, -7*t + 8*t = -5*z + 8995. Does 62 divide z? True Let q = 69 + 220. Does 2 divide q? False Suppose -4*w - 5*x + 25 = 0, 0 = -2*w + 3*w - 4*x - 1. Suppose w*l + 28 = l. Let n = 39 + l. Does 10 divide n? False Let a be 8/20 - 8/(-5). Suppose a*o - 42 = -o. Does 14 divide o? True Suppose -3*y + 1315 = -1019. Is y a multiple of 11? False Let y(m) = -2*m**3 - 20*m**2 + 7*m - 26. Let u be y(-11). Let j = -75 + u. Is j a multiple of 16? True Let y(s) = -5*s - 2. Let z be y(-3). Suppose -2*v + z = -v. Let w = 29 - v. Is 16 a factor of w? True Suppose -3*x - 66 = 5*p - 2973, -587 = -p + 5*x. Does 97 divide p? True Let h = -75 - -39. Is 15 a factor of (-126)/(-4) + h/24? True Let i(h) = -2*h + 2. Let k(l) = 1. Let a(y) = -4*i(y) - 4*k(y). Is a(6) a multiple of 35? False Is 546/(-2 - (-56)/16) a multiple of 14? True Let a(v) = v**2 - 9*v - 16. Is a(32) a multiple of 60? True Suppose -4080 = 7*c - 17*c. Is c a multiple of 34? True Let c(d) = 15*d**2 + 14*d**3 + 23*d**3 - 1 - 13*d**2. Let z(l) = l - 2. Let x be z(3). Is 10 a factor of c(x)? False Suppose 3*q + 22 = 5*i, 15 = 2*i + 5*q - 0. Is 25/10*64/i a multiple of 8? True Does 4 divide 590*-5*24/(-60)? True Let t be -1 + 6/(-6) + -7. Let i(g) = -g**3 + g**2 + g + 1. Let j be i(-1). Is t/6*j*-3 a multiple of 2? False Suppose 0 = k + 1, 0 = d - 5*k - 761. Is d a multiple of 27? True Let i(g) = 8*g**3 - g - 6. Let s be i(6). Does 7 divide (-3)/4 - s/(-48)? True Suppose 4*x = -5 + 21. Let g(f) = f**3 + 7*f**2 - 2*f + 10. Let o be g(-8). Let l = x - o. Is 14 a factor of l? True Does 23 divide ((-60)/30)/(4/(-138))? True Let r(z) = z**3 + 18*z**2 - 39*z - 36. Is 10 a factor of r(-16)? True Suppose -5*u - 134 = -4*y + 26, 10 = 2*y. Let a = 73 + u. Does 23 divide a? False Suppose -3*y = y - 1540. Suppose -u + 6*u = y. Is u a multiple of 11? True Is 5 a factor of ((-2)/(-5))/(3/90) + 2? False Suppose -1134 = -6*r - 3*r. Is r a multiple of 18? True Let p(g) = -g. Let j(d) = 5*d - 33. Let c(z) = -j(z) - 6*p(z). Is c(-21) a multiple of 5? False Let w = 43 + -71. Is 9 a factor of 8/w - (-72)/7? False Let n = 107 - 55. Suppose 2*s - 4*p = -3*p + n, -5*s + 3*p + 128 = 0. Does 15 divide s? False Suppose -6 = -3*k + k. Suppose y = -k + 1. Does 17 divide 4/((-20)/225)*y? False Let o(g) = g**2 - 14*g - 73. Is 2 a factor of o(-13)? True Let g = -178 + 85. Let q = -22 - g. Is 10 a factor of q? False Let g(q) = 13*q + 65. Is g(31) a multiple of 39? True Let j = 7 + -22. Let o = 25 + j. Does 5 divide o? True Let v(r) = -41*r**3 - 2*r**2 + 1. Let m be 15/(-10)*-2 + -4. Does 20 divide v(m)? True Let k = 2592 + -1455. Does 7 divide k? False Let r = 2429 - 826. Is 15 a factor of r? False Let y = 304 - 16. Does 18 divide y? True Let y(b) = b**2 - 7*b**2 + 9*b**2 + 4*b + b**2. Does 9 divide y(-3)? False Suppose -2*r - 15 = -3*j, -2*r - 2*r - 5 = -j. Suppose 0 = 4*p + 16, j*f + 7*p = 2*p + 215. Does 16 divide f? False Let d(g) = -9*g + 138. Let u(w) = -w**3 - 19*w**2 + 21*w + 20. Let c be u(-20). Does 6 divide d(c)? True Suppose -3*q = h - 1944, -2*q - 3*q + 7748 = 4*h. Does 42 divide h? True Let y(j) = 2*j**2 - 71*j + 36. Does 12 divide y(36)? True Let x = 9 + -7. Suppose -x*s = -4*y + 214, -58 - 208 = -5*y + s. Does 15 divide y? False Suppose -2*v + 525 - 221 = 0. Is v a multiple of 4? True Let s(d) = d**3 + 11*d**2 - 12*d + 2. Let o = -23 + 11. Let i be s(o). Suppose -4*q + 70 = i. Does 7 divide q? False Let g = 382 - 98. Let f = -6 + g. Is f a multiple of 13? False Let t be 2 - (1 - (-13 + 0)). Let r be (-4)/t + (-16)/(-6). Suppose -4*g + h = -47, r*g + h - 27 = -h. Is 6 a factor of g? False Let i = 3528 - 1571. Is i a multiple of 27? False Suppose 0 = 3*n + 5*p - 22, -p - 2*p = 5*n - 26. Suppose 2*l = -n*i + i - 2, 4*l - 4*i + 44 = 0. Let w = 3 - l. Is 6 a factor of w? False Let l = -4 + 136. Does 11 divide l? True Suppose 4 = -g + 2. Let u(x) = x + 4. Let i be u(g). Suppose 0 = -i*t + 14. Is 2 a factor of t? False Let l be (-704)/7 + 33/(-77). Let r = l + 163. Is (20/(-8))/(-5)*r a multiple of 31? True Suppose -4*k = 45 + 399. Let d = k + 165. Suppose -4*q = d - 230. Is 11 a factor of q? True Suppose -10*p - 8*p = -1620. Is 2 a factor of p? True Let g = 13 + -7. Suppose f = g*f - 375. Is 11 a factor of f? False Suppose -8 = -4*d + 8. Suppose -g + 35 = 3*k - 3*g, d*k - 56 = -2*g. Suppose -2*s + k = -17. Does 12 divide s? False Suppose 3*y - 3*x - 16 - 38 = 0, 36 = 2*y - 4*x. Let t be 273/(-52)*4/1. Let n = y - t. Is 13 a factor of n? True Let y be 6/36 - 302/12. Let c be 6/15 - 2240/y. Is (15 + -13)*c/4 a multiple of 9? True Let l(q) = -2*q - 2. Let j be l(0). Let z = j + 5. Does 5 divide (-16)/24 + 65/z? False Let k = 97 - 92. Suppose k*o = 820 - 250. Is o a multiple of 19? True Let m(w) = -2*w + 3. Let j be m(0). Suppose -290 = -5*r + z, 61 - 257 = -j*r + 5*z. Is 8 a factor of r? False Let w(o) = -9*o + 41 - 8*o - o + 6*o. Does 6 divide w(-7)? False Suppose -2*z = 3*r - 2*r, 14 = 3*r - z. Suppose -2*w - 4*h + 98 = 0, w - 45 = r*h - 7*h. Is w a multiple of 19? True Let r = -64 - -100. Let c = 83 - r. Suppose 4*m = 4*k + 84, -5*k + c = -2*m + 5*m. Does 6 divide m? False Is (-49 - -34)*136/(-12) a multiple of 2? True Let u(p) = 4*p**2 - 24*p - 237. Is u(18) a multiple of 8? False Suppose 7689 + 6471 = 40*k. Is 59 a factor of k? True Let v be 4/(-6)*(-18)/4. Let w(u) = u**2 - 4*u - 3. Let r be w(v). Let l(a) = -a**3 - 6*a**2 - 4*a + 3. Is l(r) a multiple of 9? True Let l = -27 - -43. Suppose -12*t - 916 = -l*t. Is t a multiple of 42? False Suppose 3*r + 590 = -4*j, r - 3*j + 2*j = -185. Let t = r - -295. Is 15 a factor of t? True Suppose -4*l = -4*m - 36, -m = 5*l + 14 + 1. Let d(b) = -2*b + 24. Is 24 a factor of d(m)? False Suppose 0 = -93*u + 99*u - 1362. Does 11 divide u? False Suppose 2502 = 41*a - 35*a. Does 79 divide a? False Suppose 0*f = 3*f - 45. Suppose -7*d + 2*d = -f. Suppose 0 = -d*b
{ "pile_set_name": "DM Mathematics" }
. 31 Express -52*f**2 - 37*f**2 + 27*f**2 - 69*f**2 as n + d*f**2 + i*f and give d. -131 Rearrange a**2 - 56*a**3 + 57*a**3 + 2*a + 0*a**2 to the form x + h*a**2 + y*a**3 + d*a and give y. 1 Express (-4 + 4 + v)*(0*v + 3*v - 2*v + (-3 - 2 + 4)*(-1 + 1 - 2*v) - v + 4*v - v - v + 8 - 8) as q*v**2 + l*v + i and give i. 0 Rearrange (-a + a + 2*a**2)*(2*a**2 - 3*a**2 - 2*a**2) + 1 - 2*a**4 - 10 + 4*a**4 to the form y*a**3 + j*a + v + p*a**4 + t*a**2 and give v. -9 Rearrange 42*g + 104 + 98 - 203 to the form u + c*g and give c. 42 Express 69*t + 29*t + 61*t as o*t + b and give o. 159 Express (3 + 2 - 4)*(1 - 1 + d)*(1 + 1 + 0)*(1 + 16 + 18) as v*d + q and give v. 70 Rearrange 7*w - 8*w - 2*w**2 + 2*w - 1 to n*w + h + t*w**2 and give h. -1 Express (-7*f + 6*f - 6*f)*(-10*f + f - 22*f) as p*f**2 + i*f + l and give p. 217 Express -56*s + 3 + 0 - 2*s**3 + 52*s - s**4 as i + q*s**2 + r*s**4 + g*s**3 + p*s and give g. -2 Rearrange 2*m**3 + m + 11*m + 15*m + 4 - 2 to b*m + n*m**3 + w + v*m**2 and give b. 27 Rearrange (2*d - 4*d + d)*(-3*d + 0*d + 5*d)*(-24 + 24 + d) to u*d + l*d**2 + f*d**3 + s and give f. -2 Rearrange v + 8*v - 9*v + 99*v**2 to a + p*v + g*v**2 and give g. 99 Express 7 - 6 + 3*x**2 + 5*x**2 + x**3 in the form w*x**3 + g*x**2 + m + o*x and give m. 1 Express 3*j - 157 + 163 - 5*j as k*j + s and give s. 6 Rearrange -907*j**2 - 7 - j + j + 903*j**2 to the form h*j + t*j**2 + z and give z. -7 Rearrange (-t + 4*t - t - t + 3*t - 4*t + (3 - 4 + 0)*(-t + 3*t - 3*t) - 4*t - t + 2*t)*(2 - 5 + 2) + 3*t - 3 + 3 to the form u + q*t and give q. 5 Express o - 2 + 2 + (3*o - 4*o + 2*o)*(19 + 18 - 27) in the form t*o + g and give t. 11 Rearrange (5 - 5 + p)*(-2*p + 3 - 3)*(15*p**2 - 13*p**2 + 14*p**2 + (0*p - 4*p + 3*p)*(p + p - p)) to the form r*p**2 + v*p**4 + t*p**3 + q + c*p and give v. -30 Express 3*l**3 + 5*l**2 + 2 - 4*l**2 + 2*l**3 in the form p + q*l**2 + y*l**3 + c*l and give q. 1 Rearrange 2*i**4 - i**4 - 2*i**4 + (i**2 + 0*i**2 + 0*i**2)*(-29*i**2 - 34*i**2 + 20*i**2) to j*i + b + d*i**4 + v*i**3 + f*i**2 and give d. -44 Rearrange (-6 + 12 + 18)*(0*v**3 - 4*v**3 + 2*v**3) to y*v**3 + h*v**2 + o*v + d and give y. -48 Express 2 - 118*g + 61*g - 2 as m*g + d and give m. -57 Express 7*g**4 - 3*g**3 + 2*g**3 - 5*g**4 + 13*g in the form c + j*g**3 + s*g**2 + i*g**4 + d*g and give i. 2 Express 0*m**4 - m**3 + m**4 - 56*m + m**4 - 10 + 58*m in the form c*m + l*m**3 + r + o*m**4 + k*m**2 and give k. 0 Rearrange -2*n**2 - 5*n**3 + 38*n**3 + 3 - n**3 to i*n**2 + c*n**3 + p*n + h and give c. 32 Rearrange 2*g**3 + 7*g**2 - 5*g**3 - 4*g**2 to q*g**2 + l*g**3 + n*g + t and give l. -3 Rearrange -105*n**3 + n**2 + 111*n**3 - 3*n**2 to the form p*n**2 + r*n**3 + v*n + g and give p. -2 Express ((5*l - 2*l - 4*l)*(-2 + 0 + 3) + 0 - 5*l + 0)*(l**2 - l**2 - l**2) in the form o*l + u*l**2 + b + a*l**3 and give a. 6 Express -6*m**2 - 6*m - m + 7*m**2 + m**4 + m**4 in the form q*m**2 + b*m**4 + j*m + a + o*m**3 and give q. 1 Express 0*n + n - 2*n - 4*n in the form m*n + g and give m. -5 Express 12 + 6*p + 5*p - 3*p - 6*p in the form r*p + v and give r. 2 Express 4*a**3 + 15*a - 14*a + 2*a**2 - 5*a**3 as r*a + k + n*a**3 + i*a**2 and give n. -1 Rearrange (1 + 1 + 1)*(8334 - 8334 + 86*j) - 3 + 3 + j to q*j + z and give q. 259 Express -39 - 15*v**2 - 4*v**2 + 38 in the form c*v**2 + f*v + b and give c. -19 Express 49*a - 49*a + 20*a**2 as v*a**2 + i + r*a and give v. 20 Express 14*o**3 + 2*o + o - 4*o as f*o + j*o**2 + g + u*o**3 and give u. 14 Rearrange 4 + 0*n + n - 4 to l + j*n and give j. 1 Express (3 - 1 - 1)*(-4 + 0 + 2 + (3 - 2 + 0)*(0 - 3 + 2))*(673 - 35*g**3 - 673) in the form i + v*g + k*g**3 + s*g**2 and give k. 105 Express 4*b**4 + 21*b - 9*b - 3*b**3 - 2*b**2 - 14*b - b**3 in the form i*b**4 + s*b**3 + l + z*b + a*b**2 and give i. 4 Express -4 + 2*b**3 + 5 - 3*b**3 - 7*b**3 as w*b**3 + a + t*b**2 + o*b and give w. -8 Express 4*u - 4*u + u + (2*u + 4*u - 3*u)*(-3 + 4 - 2) as k + t*u and give t. -2 Rearrange (4 - 2 - 3)*(-3*g**2 - 4*g**4 + 2*g**2 + 11*g**4) - 3*g**4 + 4*g**4 - 3*g**4 to d*g**4 + x + w*g**2 + l*g**3 + u*g and give w. 1 Express ((3 - 2 + 1)*(-3 - 1 + 1) - 5 + 2 + 2)*(4 + 4*o - 4) as w*o + t and give t. 0 Express -7*t**2 + 5*t**2 + 11*t**2 in the form k*t + j + r*t**2 and give r. 9 Rearrange -6*f + 6 - 3*f**2 + 0*f + 6*f to the form w*f**2 + r + c*f and give w. -3 Express -4 - 7*g + 9*g + 9 as w*g + y and give y. 5 Rearrange 25*h - 29 - 29 + 58 to q + c*h and give c. 25 Rearrange -10*k**2 + 4*k**2 + 4*k**2 + 6*k**4 + 4*k to the form r*k**4 + j*k**2 + m*k**3 + t*k + f and give j. -2 Rearrange -5*b**2 + 4*b**2 + 20*b**3 + 2*b - 16*b**3 - 8*b**2 to the form y*b + c*b**2 + d*b**3 + t and give d. 4 Rearrange -1 - 15*l - 3 + 2 to the form b + r*l and give r. -15 Rearrange (4 - 6 + 0)*(-1 + 0 + 0)*((4 - 4 + l)*(-1 + 2 - 2) - 2*l - 3*l - 3*l) to the form b*l + m and give b. -18 Rearrange (35 + 62 + 157 + (-2 + 5 - 1)*(-3 - 1 + 2))*(-2*o + o + 0*o) to the form f + t*o and give t. -250 Express (0 - 1 + 2)*(-5547 + k + 5572 + k) + 0*k - 3*k + 5*k in the form t*k + w and give t. 4 Rearrange (v + 1 - 1)*(19*v - 11*v + v + 15*v) to k*v + d*v**2 + l and give d. 24 Express p**2 - 5 + 14*p - 14*p - 6 in the form n*p**2 + z*p + q and give q. -11 Rearrange i**2 - 4*i - 29 - 28 + 57 to b + g*i + w*i**2 and give w. 1 Express -3 + 15*n**2 + 2 + 23*n - 22*n + (-n + 2*n - 2*n)*(2 - 2 - 2*n) in the form r + l*n**2 + x*n and give l. 17 Rearrange -5*c**3 + 1 + c**3 + 33*c**4 - 34*c**4 to the form p + o*c**4 + v*c + n*c**3 + f*c**2 and give p. 1 Express -3*g**2 + 1 - 11*g**2 - 2*g**3 - g + 14*g**2 as q + f*g**2 + a*g + k*g**3 and give q. 1 Rearrange (-2 + 2 + 1)*(-9 - 6*q + 9) - 10 - 13*q + 10 to w*q + n and give w. -19 Express (-5 - 2 + 2)*(0*n**2 + 3*n**2 - 2*n**2)*(-n - 3*n - 9*n) in the form o + l*n**3 + g*n**2 + k*n and give l. 65 Rearrange -39*i**2 - 1646*i + 1646*i to the form s*i**2 + j*i + c and give s. -39 Rearrange n**2 - 1 - 8*n**2 + n**2 + 7*n**2 to s*n**2 + m + c*n and give c. 0 Rearrange 10 + 17*b - 10 to i + v*b and give v. 17 Rearrange 92*p**3 - 58*p**3 - 57*p**3 + (-p + 0 + 0)*(0*p**2 - 4*p**2 + 5*p**2) - p**3 + 0 + 0 to the form u*p + d + m*p**2 + g*p**3 and give g. -25 Rearrange (-3*v - 3*v + 5*v)*((3 + 5 - 4)*(0 + 3 + 0) - 2 + 7 - 4 + (1 - 1 - 2)*(0 + 2 - 3) + 0 - 3 + 2) to m + i*v and give i. -14 Rearrange -3 + w + 3 + 0*w - 5*w + 3*w + (0 + 3 - 1)*(4*w + 4*w - 2*w) to the form x*w + p and give x. 11 Express -3*i**2 + 7 - 2*i - 7 + (i + 4*i - i)*(-2*i + 0 + 0) in the form d*i**2 + g*i + p and give d. -11 Express -3*g**2 + 2*g + 20*g**3 + 2*g**2 - 5*g - 26*g**3 in the form s + n*g + r*g**2 + u*g**3 and give u. -6 Express 2*b**2 - 1 + 1 + b**2 - 51 + 51 + (0 + 5 - 3)*(-5*b - 2*b**2 + 5*b) as o + i*b**2 + v*b and give i. -1 Rearrange 3 + 5*t**2 - 2*t**3 - 6 - 5*t**2 to d*t + w*t**2 + s*t**3 + o and give o. -3 Rearrange (3*u + 0*u + 2*u)*(2 + u**2 - 2) + 3*u**3 + 0*u**3 - u**3 to the form c*u**2 + q*u**3 + n + h*u and give q. 7 Express (5*v**3 - 117*v + 120*v - 34*v**3)*(4 - 3 - v + 0) as s*v**3 + c*v**4 + i*v**2 + a*v + k and give i. -3 Rearrange 66*b + 12*b + 24*b - 7*b to k*b + t and give k. 95 Rearrange -161*h**3 - 17*h**4 + 80*h**3 - 1 + 84*h**3 to r*h**3 + f*h + q*h**2 + v*h**4 + i and give i. -1 Express p**3 - 2*p**3 + 2*p**3 - 29*p**2 + 23*p**2 as a + r*p + u*p**2 + q*p**3 and give a. 0 Express 18*y**2 + 6*y + 2 - 6*y + 26*y**2 as d + z*y + s*y**2 and give s. 44 Rearrange -8*f**3 + 11*f**3 - 2 + 4*f + f**2 + 20*f**3 - 3*f to the form h*f**3 + i*f + q + l*f**2 and give i. 1 Express -18*g + 0*g - g in the form p + m*g and give m. -19 Express -2 - 2*l**3 + 4 - 7 in the form h*l + v + m*l**2 + a*l**3 and give h. 0 Rearrange 1 + 8*n**2 - n**4 - 5*n**3 - 9*n**2 - 3*n + 4*n to the form l + w*n**3 + s*n + t*n**2 + b*n**4 and give s. 1 Express (-3*k + 0*k - 2*k)*(1 + 6 - 3)*(-2*k + 1 - 1) in the form b*k**2 + n*k + d and give b. 40 Rearrange 7 + 4*m**3 - 2*m - 4 - 3*m**3 to the form q*m**2 + g*m**3 + z + a*m and give a. -2 Express 22*i**2 + 9*i**3 + 4*i**4 - i - 23*i**2 - 2*i**4 in the form v*i**2 + n + w*i + p*i**3 + u*i**4 and give u. 2 Express -9*r**2 - 13*r**2 + 29*r**2 + 1 + 2*r - r**3 as l + f*r**3 + y*r**2 + i*r and give y. 7 Rearrange ((-o**2 +
{ "pile_set_name": "DM Mathematics" }
+ u + 2. Let f be r(-1). Is n(f) prime? True Let w = 77001 - 46648. Is w a composite number? True Suppose 3067 = -2*q + 4*f + 54493, 0 = -4*q - 2*f + 102872. Is q prime? True Let g(y) = -y**3 - y**2 - y. Let c be g(-2). Is ((-1611)/(-54))/(1/c) prime? True Suppose 11*k - 3746067 = -28*k. Is k prime? True Let z(c) = c - 4. Let y be -2 + ((-36)/(-4))/1. Let x be z(y). Suppose -7*q + 3*q = 4*h - 1876, -q = -x*h + 1399. Is h a composite number? False Is 20420/15 + (-2)/6 a prime number? True Suppose -45 + 20 = -5*v. Suppose 3*g + i - 4420 = 0, 2*g - v*g = 3*i - 4422. Is g a prime number? False Suppose -2*q - 2*k = 396, 4*q - 592 = 7*q + k. Let p = 968 + q. Is p a composite number? True Suppose -4*l + 16 + 6 = -2*f, -l = f - 4. Suppose 3*q - 2166 = -l*w - 133, -2*q = w - 408. Is (-2 - -5) + 0 + w a composite number? False Let q be (-6)/(4/2406*-3). Suppose 2*n = -3*y + 1243, q = -0*n + 2*n - 5*y. Is (n/(-10))/(7/(-35)) a prime number? True Let u(m) = 10497*m - 136. Is u(5) composite? True Let g(d) = 3*d**3 + d**2 - 34*d - 14. Is g(10) a composite number? True Let b(z) be the first derivative of 9*z**3 - 3*z**2/2 - 3*z - 21. Is b(-2) prime? False Suppose 0 = 2*c - 39 - 31. Suppose -q + 7 = s, 5*q = -10 + c. Is ((-6)/s - -97)*1 composite? True Let q be ((-358)/(-3))/((-28)/(-42)). Suppose n - 2*n + q = 0. Let m = n + -97. Is m prime? False Let y be ((-35)/(-20))/(2/8). Let q(m) = m - 7. Let n be q(y). Is -2 + 13*(n + 3) prime? True Let p be (170/4)/5*2. Suppose 3*r + p - 32 = 0. Suppose r*n + 20 = 0, 5*o + 3*n = 7*n + 141. Is o a prime number? False Suppose 0 = -2*r - 2, -10*r = -3*j - 7*r + 31569. Is j a prime number? False Let u(w) = 401*w + 37. Is u(2) a prime number? True Let o(z) = -z**3 - 3*z**2 + 2*z - 2. Let h(r) = -r + 4. Let l be h(8). Let s be o(l). Suppose q + n - 331 = s*n, 2*n = 0. Is q composite? False Let d(t) = 109*t + t**2 - 12 - 111*t + 0. Let f be d(5). Suppose -4*y = 3*w - 795, 2*y = y - f*w + 192. Is y composite? True Let q(j) = -7*j - 4. Let t(p) = -p + 13. Let k be t(10). Suppose -r = -k*r - 18. Is q(r) prime? True Let r(w) = 2*w**3 - 24*w**2 - 51*w + 48. Is r(23) a prime number? True Let y(p) = p**2 + 10*p - 9. Let t be y(-11). Let u be 1512/t - 4 - 1. Suppose 0*c - 3*c - l = -2253, c = l + u. Is c prime? True Let x be (145 + 1)*(-7)/(-2). Suppose 0 = 2*r + 3*v - 151 - 132, x = 4*r - 5*v. Is r composite? True Is -2*(1 + 6/12) - -2708 prime? False Suppose 361589 = 45*h - 26*h. Is h a prime number? True Suppose -3*y - 19688 = -92549. Is y prime? False Suppose 5*p - 3*d = 2*p + 2433, 0 = -3*p - 3*d + 2433. Suppose -1432 - p = -m. Is m a composite number? False Suppose 0 = -4*z - 5*t + 27, -t = 3*z - 3*t - 3. Suppose -8*p = -z*p. Suppose 2*g - 3*g + 85 = p. Is g prime? False Let p = -9 - -12. Let i be ((-6)/15)/(p/(-45)). Is ((-374)/i)/(2/(-6)) a composite number? True Suppose -2*r + r + 23 = 5*v, -5*r + v + 11 = 0. Is (1364/6)/(-2 - (-8)/r) prime? False Suppose 4*h + 655 = 1883. Let n = h - 201. Is (-4 - 18/(-4))*n a prime number? True Let z = 19337 - 10620. Is z prime? False Let n = -121238 - -277159. Is n prime? True Let c(k) = 30*k**2 + 11*k + 7. Let z be c(-6). Suppose z = -9*l + 4432. Is l a prime number? True Let v(x) = -4*x + 9. Let i be v(5). Let r(k) = -k**3 - 4*k**2 + 6*k + 10. Is r(i) prime? False Let b(i) = -2*i**3 + 16*i**2 + 7*i - 2. Let h be b(6). Let m = h - -121. Is m prime? False Let g(o) = 28*o**2 - 55*o - 10. Is g(21) a composite number? True Suppose -p - 2*a + 3823 = 2*p, 3*a + 2540 = 2*p. Let j = 1866 - p. Suppose 8*m = 7*m + j. Is m a composite number? False Suppose -4*n = -n - 12. Suppose -n*b = 2*x - 106, 4*b - 271 = -0*x - 5*x. Is x a prime number? False Let r = 16111 + -6078. Is r a composite number? True Suppose -34 = 4*s + 54. Let l be -1 + s*4/8. Let z(o) = o**3 + 14*o**2 + 12*o + 17. Is z(l) prime? False Let k(n) = -5 - 3*n + 0 - 3*n. Let w be k(-2). Is (-2)/w - 2075/(-35) composite? False Let g(t) = 41*t**2 + 69*t + 21. Is g(-9) prime? False Suppose 9*f = -3*s + 14*f + 7722, -2*s - f + 5135 = 0. Is s a composite number? True Let r = 33 - 26. Suppose 2*i - 201 = -v, r*v = 3*v + 3*i + 815. Is v a prime number? False Let a(k) = 4*k**3 + 4*k**2 + 7*k - 4. Let f be (-126)/(-26) - 14/(-91). Is a(f) composite? False Suppose 0 = 1004*i - 999*i - 2465. Is i composite? True Suppose 0 = 3*m - 5*n - 18, 5*n = -4*m + 2*m + 12. Suppose -238 + 28 = -m*v. Is v prime? False Let z(u) = u**2 + u - 2. Let t be z(3). Let i(m) = m**3 - 9*m**2 + 4*m - 9. Let j be i(t). Let c = j - 49. Is c prime? False Suppose 6*j - 1228 = 1520. Let y = -100 + j. Let g = y + -240. Is g composite? True Let c = 8362 - 3971. Is c a composite number? False Suppose -5*t + 11 - 26 = 0. Is t/8 - 29420/(-32) a prime number? True Let j(n) = n + 11. Let s be j(-9). Suppose -4*h = 5*i - 103, h + s*h = 2*i + 60. Is h prime? False Let c = 4097 - 2038. Is c a prime number? False Suppose -17*z + 641017 = -4*z. Is z prime? False Let x(m) = -259*m - 16. Suppose 5*n = -6 - 4. Is x(n) prime? False Let m = -5887 + 21386. Is m a composite number? True Let x(r) = -r**2 - 6*r + 9. Let o be x(-7). Is 332 + (-1 - 2) + o composite? False Let d(t) = t**2 + 7*t - 6. Let s be d(4). Suppose -4*m = 3*b - s, -2*m = 2*m - 20. Suppose 0 = -4*x + b*x - 194. Is x prime? True Suppose -f + 2 = h, 4*f - 2*h = -0 + 2. Let w be 1324/((-4)/8 + f). Is (-1)/(4/w*-2) a composite number? False Is 2 + 6/((-12)/(-20482)) prime? True Let c = -1 + 25. Is (2 + 1)*5968/c composite? True Let o(z) = 648*z**2 + z. Let d = -11 - -10. Let j be o(d). Suppose 5*q - 3*b - j = 0, -q = 4*q + 3*b - 623. Is q prime? True Suppose 1696*y - 1692*y - 73356 = 0. Is y a composite number? True Is 4/(40/6) + (-366008)/(-20) a prime number? True Suppose v + 4*m = 1130, -m - 412 = -4*v + 4040. Is v a composite number? True Let n(h) = -h**2 + 27*h - 3. Let g(i) = -i + 36. Let a be g(17). Is n(a) prime? True Suppose -7499 = -41*p + 24768. Is p prime? True Suppose 3*i + 2*i + 160 = 5*w, -4*w - 2*i = -140. Suppose 33*n - w*n = -557. Is n a composite number? False Let s(k) = -62*k**3 + k**2 + 2*k + 1. Let q be s(-1). Let x = q - 5. Is x prime? False Let h be 2 - 2*2/(-4). Suppose -h*f = 4*m - 26, 6 = f + 2*f. Suppose -128 + 698 = m*y + 5*c, -y + 4*c = -89. Is y a prime number? True Let c = 152109 - 105898. Is c prime? False Suppose 5*h - 16038 = 15107. Is h prime? True Let o(j) = 190*j**2 - 28*j + 197. Is o(9) a composite number? True Let l(o) = 193*o**2 + o - 81. Is l(-14) composite? True Suppose -22*v + 130643 = -613155. Is v a composite number? False Suppose -2*c = -6*c + 2132. Let m = c - -264. Is m a prime number? True Let i be -1*(3 - (-9)/3). Let k(o) = -130*o + 9. Is k(i) composite? True Is 4*(-5 - (-14959)/4*1) a composite number? False Let a be (-3260)/(-50) - (-3)/(-15). Let z(f) = f + 13. Let g be z(-9). Suppose 4*h - 260 = 6*n - n, h = g*n + a. Is h a composite number? True Suppose -2*x = 3*m - 27157, -4*x - 5*m = x - 67890. Is x a prime number? True Suppose -3*c = -3*q - 78, -4*c - 34 = -3*q - 111. Is (-8596)/(-10) - q/(-45) a prime number? True Let v(q) = q**3 - 3*q**2 + 4. Let x(g) = g**2 - 5*g - 19. Let j be x(8). Let h be v(j). Let o = h - 35. Is o a prime number? True Let q(w) be the third derivative of 67*w**6/120 - w**5/20 - w**4/12 - w**3/3 + 6*w**2. Is q(3) prime? False Suppose 18*t - 15084 - 3690 = 0. Is t a prime number? False Let g(q) = -2686*q + 281. Is g(-17) a composite number? False Let b(p) = -159*p + 40. Let r be b(7). Suppose 3*l = -443 - 4243. Let c = r - l. Is c a composite number? True Let i be (12/(-18))/((-3)/(-18)). Let h be (3/i)/((-6)/(-24)). Is (h + 704)/(2/2) composite? False Let y = 10458 + -3521. Is y prime? False Suppose -6*u - l + 14 = -2*u, 3*u + 2*l = 8. Is 2/(0 + u)*316 a prime number? False Suppose -2*h + 25 = -53. Suppose -3*r - h = -2*g, 5*r + 59 = -2*g + 5*g. Is (3573/g)/(1/2) a prime number? True Suppose y = -5*p - 22, 0*p - 5*p = -3*y + 34. Suppose -y*x + 4*f = -41, 0 = -x - f + 2. Let n = x + 310. Is n prime? True Let q = -472 + 724. Suppose -y + q = 35. Is y composite? True Let f be (14 - 12)*(-3)/(-2). Is 6*5 - (f - 4) composite? False Suppose -28*w - 29*w + 3038271 = 0. Is w a composite number? True Let o(t) = -1781*t - 82. Is o(-3) a prime number? T
{ "pile_set_name": "DM Mathematics" }
-5 in decreasing order. 136, 5, 3, 1, -4, -5 Sort 2/5407, 1/5, 1/2, -5, 4 in descending order. 4, 1/2, 1/5, 2/5407, -5 Put 0.06, -1/5, -4520 in increasing order. -4520, -1/5, 0.06 Put 369, 5, -213 in decreasing order. 369, 5, -213 Sort 2/19, 5310, 2/13, -1 in ascending order. -1, 2/19, 2/13, 5310 Put 97, -100, -4, -2, 5 in ascending order. -100, -4, -2, 5, 97 Put -4, -2, 806179 in descending order. 806179, -2, -4 Put -1, -5, -2, 526, 1 in decreasing order. 526, 1, -1, -2, -5 Put 118, 0, -40, -2, -3 in ascending order. -40, -3, -2, 0, 118 Sort 7, 4, 6, 2, -5, 3 in increasing order. -5, 2, 3, 4, 6, 7 Sort 1, -55, -114, 0 in ascending order. -114, -55, 0, 1 Sort -74447, -2, 38. -74447, -2, 38 Sort -1/5, 24, 2033. -1/5, 24, 2033 Put -763, 0.1, 1, -55 in descending order. 1, 0.1, -55, -763 Sort 107, -4, -1, -20, 1 in descending order. 107, 1, -1, -4, -20 Put -9, -190, 2 in descending order. 2, -9, -190 Put -0.104, 4, 11/10 in decreasing order. 4, 11/10, -0.104 Put 45, -54, 4, -3 in increasing order. -54, -3, 4, 45 Put 172385, -6, -5 in increasing order. -6, -5, 172385 Sort 5, -13, -21787 in descending order. 5, -13, -21787 Put -4, 3, 1, 0, 566 in decreasing order. 566, 3, 1, 0, -4 Sort 3, 5, 224, 4, -3 in decreasing order. 224, 5, 4, 3, -3 Sort -2/11, -3, -12, 5, 36, -34 in descending order. 36, 5, -2/11, -3, -12, -34 Sort -4, 0.06, 2/7, -44/41 in decreasing order. 2/7, 0.06, -44/41, -4 Put 3, 13, -1, 1, -723 in descending order. 13, 3, 1, -1, -723 Sort -72, 8, -448. -448, -72, 8 Sort 0.13, 0.143, 0.1, 4, -2 in descending order. 4, 0.143, 0.13, 0.1, -2 Sort 4, 1, -4, 6575, -1, 0 in ascending order. -4, -1, 0, 1, 4, 6575 Sort -2, -3, 101, -21 in increasing order. -21, -3, -2, 101 Sort 1.4, -1/2, -4, 0, -18 in descending order. 1.4, 0, -1/2, -4, -18 Put 38, -1/121, 0.2, -4, 1/3 in descending order. 38, 1/3, 0.2, -1/121, -4 Put -3, -2, 2, -7, 4359 in descending order. 4359, 2, -2, -3, -7 Put 180, 7, -2, -11 in increasing order. -11, -2, 7, 180 Put -4, -13, 352, -3, -5 in descending order. 352, -3, -4, -5, -13 Sort 2, 21, 0.2, -2/9, 0.4 in ascending order. -2/9, 0.2, 0.4, 2, 21 Sort -3, -2, -466, 1 in decreasing order. 1, -2, -3, -466 Sort 2, 0.3, -109, -7, -1/6 in descending order. 2, 0.3, -1/6, -7, -109 Put -844, -4, -21, 4 in decreasing order. 4, -4, -21, -844 Put 1, 792, -22, 5, 0 in ascending order. -22, 0, 1, 5, 792 Sort 4, 0.15, 341 in descending order. 341, 4, 0.15 Put 11, -13, 5, -29 in ascending order. -29, -13, 5, 11 Put 1, 5, -2, -4, 35086, 3 in ascending order. -4, -2, 1, 3, 5, 35086 Put 5, -4, 436, -3 in decreasing order. 436, 5, -3, -4 Put 4, -94, -1, -4, -228 in ascending order. -228, -94, -4, -1, 4 Put 7, -5, 16, 5, 1 in descending order. 16, 7, 5, 1, -5 Sort -18, -1337/5, -2 in decreasing order. -2, -18, -1337/5 Put -3, 1, 1/9, -418, -0.4 in descending order. 1, 1/9, -0.4, -3, -418 Sort -1, -0.4, 1, 0.3, 1568, -4. -4, -1, -0.4, 0.3, 1, 1568 Put -22, -14, -0.2, 64 in decreasing order. 64, -0.2, -14, -22 Sort -1, 1636026, 4 in descending order. 1636026, 4, -1 Put 5, 1, -5, 3, -7 in increasing order. -7, -5, 1, 3, 5 Put 5/7, 165, 1/5 in increasing order. 1/5, 5/7, 165 Sort -558363, 5, 4 in descending order. 5, 4, -558363 Sort 4, -10413, -1. -10413, -1, 4 Sort 1, -35, 2, -6, -25 in ascending order. -35, -25, -6, 1, 2 Put -4, -1, 130, -18 in descending order. 130, -1, -4, -18 Sort -113, 2, 3707 in descending order. 3707, 2, -113 Sort -2/7, 1.13, -2/9, 117 in descending order. 117, 1.13, -2/9, -2/7 Sort 0.35, 0.004, -2, -3/7, 3, 5/6 in increasing order. -2, -3/7, 0.004, 0.35, 5/6, 3 Sort -4, -3, -7, 174 in descending order. 174, -3, -4, -7 Sort -5, -7, 91, 0.05 in descending order. 91, 0.05, -5, -7 Sort 1, -171513, 11. -171513, 1, 11 Sort -2, 2/7, 167992. -2, 2/7, 167992 Sort 21, -6, -2527 in ascending order. -2527, -6, 21 Put 1, -1, 824, -4, 23 in increasing order. -4, -1, 1, 23, 824 Sort 3, -2, 16, 6, 15 in decreasing order. 16, 15, 6, 3, -2 Put -0.02, 0.85, 0.19, 45 in decreasing order. 45, 0.85, 0.19, -0.02 Sort -5, -3, 0.7594. -5, -3, 0.7594 Sort 1, 1/5, 91, -0.08. -0.08, 1/5, 1, 91 Put 0.09, 0, 4, -3, -409 in decreasing order. 4, 0.09, 0, -3, -409 Put -7, 41, -2, 1, 1.9, 7 in increasing order. -7, -2, 1, 1.9, 7, 41 Sort 163, -2, -5, -11, 31, 5 in descending order. 163, 31, 5, -2, -5, -11 Put 818, 0, -4/3, -5 in descending order. 818, 0, -4/3, -5 Sort -4, 230, -12, 0, 2 in decreasing order. 230, 2, 0, -4, -12 Put -1, 175, 5, 3, -4, 11 in decreasing order. 175, 11, 5, 3, -1, -4 Put 5/3, 1/5, -4, 5, 1.03, -0.39 in increasing order. -4, -0.39, 1/5, 1.03, 5/3, 5 Sort -2, 1, 0.24, -0.03, 2/3 in ascending order. -2, -0.03, 0.24, 2/3, 1 Put 2/55, 0.3, -37/3, -2/109 in decreasing order. 0.3, 2/55, -2/109, -37/3 Put 1/3, -269, 2 in descending order. 2, 1/3, -269 Put 12, -1, 9, 30 in decreasing order. 30, 12, 9, -1 Sort 4, -4, 2/25, 6, 1.5. -4, 2/25, 1.5, 4, 6 Sort -6, 0, -1935, -3. -1935, -6, -3, 0 Put -3, -41, -9 in ascending order. -41, -9, -3 Put 0.8, -1, 407006 in decreasing order. 407006, 0.8, -1 Sort 2/5, -1/28, -5/2, 2, 7. -5/2, -1/28, 2/5, 2, 7 Put 0.6, 0, -1, 2, -2/23 in decreasing order. 2, 0.6, 0, -2/23, -1 Put -5, -18, -1168 in descending order. -5, -18, -1168 Sort 1, -1.129, 3, 0.18, -0.3 in increasing order. -1.129, -0.3, 0.18, 1, 3 Sort -2, 3, -11, -9, 0 in descending order. 3, 0, -2, -9, -11 Sort -58, -15, -330 in decreasing order. -15, -58, -330 Sort -2/7, -2.1, -2.2, 0.06 in descending order. 0.06, -2/7, -2.1, -2.2 Put 1, -2, -396, 5, -1 in ascending order. -396, -2, -1, 1, 5 Put 2.46, -2/7, -150 in increasing order. -150, -2/7, 2.46 Put -0.2, 3/7, 0, 2, -0.07, 376 in decreasing order. 376, 2, 3/7, 0, -0.07, -0.2 Sort -26, -1, -657. -657, -26, -1 Sort 1, -2, 99, 5, -4, 301 in decreasing order. 301, 99, 5, 1, -2, -4 Sort -89, 2, -0.1, -0.5, 2/3 in ascending order. -89, -0.5, -0.1, 2/3, 2 Sort 30, 0, 5, -56 in decreasing order. 30, 5, 0, -56 Put -12/5, 1779, 3, 0.2 in descending order. 1779, 3, 0.2, -12/5 Put -3/62, -13, 14 in descending order. 14, -3/62, -13 Sort 0, 127, 4, 76, -5. -5, 0, 4, 76, 127 Sort -29, -1, 4, -74 in descending order. 4, -1, -29, -74 Sort -63, 410, -1 in descending order. 410, -1, -63 Sort -1/4, -1/2, 2/7, -35, -1. -35, -1, -1/2, -1/4, 2/7 Put 122, -0.1, 4, -4, 0 in descending order. 122, 4, 0, -0.1, -4 Sort -6, -1807, 1, 0, 2 in ascending order. -1807, -6, 0, 1, 2 Put -1/85, -109, 3 in increasing order. -109, -1/85, 3 Put -284, 0, 9, -1, -6, -2 in increasing order. -284, -6, -2, -1, 0, 9 Sort -2, 1, -7, 5, 0, -5 in increasing order. -7, -5, -2, 0, 1, 5 Put -5, 68959, 2 in decreasing order. 68959, 2, -5 Sort -4, -14, 1101, 5. -14, -4, 5, 1101 Sort -9, 411, 6. -9, 6, 411 Sort 5, 0.205, 159, -1/7 in ascending order. -1/7, 0.205, 5, 159 Put 0.0361, -3, 17, 1 in ascending order. -3, 0.0361, 1, 17 Put 1, -5, -39, 4 in increasing order. -39, -5, 1, 4 Put -2, 16, 31 in decreasing order. 31, 16, -2 Sort -7, 54, -1/8, 2, 2/5, -0.041 in ascending order. -7, -1/8, -0.041, 2/5, 2, 54 Put 3, 15, 0, 28, 5 in descending order. 28, 15, 5, 3, 0 Sort -2, -1, -12, 25. -12, -2, -1, 25 Sort 1, 217, 2, -14 in descending order. 217, 2, 1, -14 Sort -7, 3, -0.1, -107, -5 in increasing order. -107, -7, -5, -0.1, 3 Put -6, -4, 3, 302, 1, -3 in decreasing order. 302, 3, 1, -3, -4, -6 Sort 1, 6, 4, 3, 47. 1, 3, 4, 6, 47 Put 3, -13, 25, 5, 54 in increasing order. -13, 3, 5, 25, 54 Put 4, -4, -5, 6, 0, -35 in decreasing order. 6, 4, 0, -4, -5, -35 Put -710, -4, 168 in increasing order. -710, -4, 168 Put 1310, 13, -2 in increasing order. -2, 13, 1310 Sort 2/23, 0.3, -0.06, 29, 0.2 in ascending order. -0.06, 2/23, 0.2, 0.3, 29 Put 0, 14, -127, -2/7, 2/9 in descending order. 14, 2/9, 0, -2/7, -127 Sort 54, 39, -5, 1, 2, -4 in ascending order. -5, -4, 1, 2, 39, 54 Sort 0, -1, 4, -1871. -1871, -1, 0, 4 Sort 0, 294, 4, -4, 1, 5 in ascending order. -4, 0, 1, 4, 5, 294 Put -3/13, -685, 3/7 in decreasing order. 3/7, -3/13, -685 Sort -2/15, 1, -0.2, 3, 1/83704 in decreasing order. 3, 1, 1/83704, -2/15, -0.2 Sort -2, -435, -3, 1, -22, -1 in increasing order. -435, -22, -3, -2, -1, 1 Sort 2/9, 0.11, -5, -0.1, -101. -101, -5, -0.1, 0.11, 2/9 Sort -2/3, 0.2, -68581 in descending order. 0.2, -2/3, -68581 Sort 4, 1, -477, -4, -3, 0 in ascending
{ "pile_set_name": "DM Mathematics" }
- 120*g + 70*g + 71*g + 10*g. Give w(v(f)). 100672*f**2 Suppose -2*m - q + 55 = -10, 0 = -2*m - 3*q + 59. Let y(x) = 29*x - 94*x + 29*x + m*x. Let h(s) be the first derivative of 5*s**2 - 36. Calculate y(h(o)). -20*o Let b(h) = 8*h. Let c(y) = -25913714*y**2. Give c(b(q)). -1658477696*q**2 Let u(o) = 313*o + 50 - 311*o - 13. Let c(k) = -k**2. Determine u(c(d)). -2*d**2 + 37 Let k(d) = 2*d. Let o(l) = -7863367*l + 1. Determine k(o(a)). -15726734*a + 2 Let a(h) = -6*h. Let v be (-12)/9*36/8. Let i = v + 8. Let u(b) = b**2 + 3*b**2 + 0*b**i. Calculate u(a(f)). 144*f**2 Let i(v) = v**3 - 38*v**2 + 3*v - 65. Let f be i(38). Let l(s) = -6*s - 20*s + f*s. Let a(d) be the second derivative of -d**3/3 + 4*d. Determine a(l(k)). -46*k Let g(a) be the first derivative of a**3/3 + 1116. Let q(u) = -7*u - 8. Let z(k) = 5*k + 5. Let x(f) = -5*q(f) - 8*z(f). What is x(g(l))? -5*l**2 Suppose -5*z + 54 = -3*k, 3*z = -5*k - z - 127. Let u = 25 + k. Let h(b) = u*b**2 - 15*b**2 + 8*b**2. Let a(i) = 2*i**2. Give h(a(c)). -20*c**4 Let m(p) = -2*p**2 + 38*p. Let a(h) = -6*h - 12089. What is a(m(b))? 12*b**2 - 228*b - 12089 Let t(d) = 55352*d - 55352*d - 3*d**2. Let l(w) = -3281*w**2. Calculate t(l(j)). -32294883*j**4 Let y(h) = 11*h - 69790. Let k(c) = 3*c - 12. Calculate k(y(v)). 33*v - 209382 Let t(j) = -3366*j. Let n(l) = 9*l**2 + 748*l - 1. Calculate n(t(z)). 101969604*z**2 - 2517768*z - 1 Let a(i) = -202*i - 32. Let p(v) = 64*v + 10. Let q(k) = -5*a(k) - 16*p(k). Let r(u) = 2*u - 10*u**2 - 2*u - 3*u**2. Give r(q(m)). -2548*m**2 Let u(h) = -6*h. Let r(m) be the third derivative of 5*m**4/6 + 84*m**2. Let b(v) = 9*v. Let t(p) = -9*b(p) + 4*r(p). Calculate t(u(a)). 6*a Let b(m) = -2*m**2. Let q = 32 + -30. Let i(g) = 16*g - 27*g - 17*g**q + 11*g. Determine i(b(h)). -68*h**4 Let a(b) = 2415*b**2 + 1. Let v(h) = 2. Let u(r) = -r - 2. Let z(f) = u(f) + v(f). Give z(a(o)). -2415*o**2 - 1 Let o(x) = x. Suppose 3*s = 21*s - 288. Let j(q) = s*q**2 + 19*q**2 - 64 - 36*q**2. What is o(j(c))? -c**2 - 64 Let j(u) = -72*u**2 + 9*u - 88. Let q(s) = 36*s**2 - 4*s + 39. Let t(m) = 4*j(m) + 9*q(m). Let f(k) = -24*k. Determine t(f(p)). 20736*p**2 - 1 Let n(j) = -4*j**2 + 70. Let t(p) = -30 + 3*p - 15*p + 8*p + 30. Calculate t(n(h)). 16*h**2 - 280 Let d(t) be the second derivative of -t**3/3 + 3*t**2 + 5*t + 13. Let l(r) = -3*r. Give l(d(n)). 6*n - 18 Let o(p) = 23*p**2 - 113356. Let a(u) = -61*u. Determine o(a(y)). 85583*y**2 - 113356 Let b(g) = -2256*g**2. Let z(y) = -y**2 - y + 2. Let q(j) = 3*j**2 + 5*j - 10. Let c(x) = -2*q(x) - 10*z(x). Calculate b(c(w)). -36096*w**4 Let q(n) = 2804598*n**2. Let p(o) = o**2. Determine p(q(c)). 7865769941604*c**4 Let t(k) = -9629073*k. Let h(s) = -13*s. Give t(h(g)). 125177949*g Let a(o) = 807*o. Let p(t) be the first derivative of 19*t**2/2 - 12850. Give a(p(s)). 15333*s Let p(h) = -3*h + 12. Let w(v) = -11*v**2 - 24*v - 3. Let r(c) = -11*c**2 - 16*c - 2. Let y(x) = -3*r(x) + 2*w(x). Calculate y(p(q)). 99*q**2 - 792*q + 1584 Let t(r) = -1 + 1 + 7*r**2. Suppose -4*u + 5*z + 26 = 0, 3*u - 3*z + 0*z = 18. Let h(d) = -u*d**2 - d**2 - 3425*d + 3425*d. Calculate h(t(c)). -245*c**4 Let s(m) = m + 1. Let f(n) = 8*n + 12. Let r(l) = f(l) - 12*s(l). Let j(a) = 7*a**2 - a - a**2 + 22*a - 38*a + 17*a. Calculate r(j(v)). -24*v**2 Suppose 9*f - 8 = 5*f. Let g(y) = 0*y**2 - 9*y**2 + 6*y**f. Let q(t) = -14*t + 16. Let k(a) = -4*a + 5. Let m(j) = -16*k(j) + 5*q(j). Calculate g(m(h)). -108*h**2 Let t(n) = 1590*n + 25. Let j(a) = -649*a. Determine j(t(w)). -1031910*w - 16225 Let a(j) = 28*j + 8. Let u(l) = -4*l**2 - 2*l + 286. Determine u(a(d)). -3136*d**2 - 1848*d + 14 Let g(z) be the second derivative of -z**4/6 - 2*z. Let j(n) = -17*n - 11*n + 47*n - 17*n - 12*n. Give g(j(x)). -200*x**2 Let a(b) = 2498*b**2. Let p(t) = -16*t**2 - 630*t - 28. Let w(c) = -17*c**2 - 675*c - 30. Let r(s) = -15*p(s) + 14*w(s). Give a(r(i)). 9992*i**4 Let b(i) = -5*i**2 - 6*i + 47. Let m(k) = -k**2 - k + 18. Let c(f) = -b(f) + 6*m(f). Let t(p) = p. What is c(t(u))? -u**2 + 61 Let d(s) = -70*s**2. Let f(z) = 37216*z - 18606*z - 18594*z. What is d(f(n))? -17920*n**2 Let i(o) = o**2. Let t(r) = 363*r - 748. What is t(i(u))? 363*u**2 - 748 Let k(i) = -29*i**2. Let j(b) = -b + 1. Let p(l) = 7*l - 1. Let x(s) = 6*j(s) + p(s). Let u be x(2). Let w(q) = 6*q + 2*q - u*q. Determine k(w(f)). -29*f**2 Let h(d) = 17*d**2. Let r(c) = 4*c + 6. Suppose -111 + 99 = -3*i. Let k(z) = 6*z + 8. Let q(p) = i*r(p) - 3*k(p). Calculate h(q(u)). 68*u**2 Let x(s) = s + 1. Let n(c) = -56*c - 49. Let l(i) = -4*n(i) - 196*x(i). Let b(m) be the first derivative of 5*m**2/2 + 120. What is l(b(y))? 140*y Let u(y) = -15279331*y. Let d(n) = -2*n. What is u(d(s))? 30558662*s Let j(i) = -2*i. Let y be -7 + 6 + 1 - -44. Let s(o) = y*o - 2 + 41*o - 85*o + 11*o**2. Determine s(j(w)). 44*w**2 - 2 Let z(l) = -5 + 8 + 3 + 4 + 2*l. Let b(r) = 16*r + 26*r - 73*r + 30*r. What is b(z(n))? -2*n - 10 Let a(u) = 85*u + 6. Let w(g) = 5609*g + 395. Let z(h) = -395*a(h) + 6*w(h). Let d(r) = -26*r**2. Determine d(z(l)). -162266*l**2 Let a(z) = 3*z**2 + z - 4. Let f be a(4). Let q(g) = -40 - f + 88 - 24*g**2. Let s(l) = -2*l + l + 8 - 8. Determine s(q(c)). 24*c**2 Let x(z) = 5*z - 3*z**2 + 10*z**2 - 7*z**2 - 4*z**2. Let q(j) = 56*j - 26*j - 30*j + 2*j**2. What is q(x(c))? 32*c**4 - 80*c**3 + 50*c**2 Let g(b) be the first derivative of -14*b**3/3 + 1. Let p(a) = -28*a - 40*a + 67*a. What is p(g(v))? 14*v**2 Let q(z) be the first derivative of z**2 + 3. Let f(u) = -7*u**2 + 5*u + 24. Let h(k) = -18*k**2 + 14*k + 66. Let a(b) = -11*f(b) + 4*h(b). Determine q(a(l)). 10*l**2 + 2*l Let u(a) = 110*a - 40. Let x(z) = -55*z + 24. Let y(o) = -3*u(o) - 5*x(o). Let d(v) = -12*v. Calculate d(y(t)). 660*t Let a(q) = 32*q - 5. Let j(r) = -955*r + 150. Let i(l) = -30*a(l) - j(l). Let o(f) = f**2 + 2*f**2 + f**2. Calculate i(o(v)). -20*v**2 Let y(p) = 10314*p + 1. Let r(n) = 645*n. What is y(r(d))? 6652530*d + 1 Let j = -4 + 2. Let k(o) = -338*o**2 + 5*o. Let f(b) = -170*b**2 + 2*b. Let h(m) = j*k(m) + 5*f(m). Let v(i) = i. What is v(h(z))? -174*z**2 Let w(c) = 380*c**2 + 10*c + 2. Let a(o) = -33*o - 1. Determine a(w(s)). -12540*s**2 - 330*s - 67 Let h(x) = 1387*x + 40. Let j(m) = 509031*m + 14688. Let q(u) = -1836*h(u) + 5*j(u). Let f(g) = -2*g**2. Give f(q(c)). -3792258*c**2 Let i(d) = -171*d**2. Let w(k) = -363388*k. Calculate i(w(r)). -22580693391024*r**2 Let i(a) be the third derivative of -189*a**5/20 - 239466*a**2. Let n(t) = -t - 1. Let x(z) = -2*z - 4. Let v(u) = -4*n(u) + x(u). Calculate v(i(p)). -1134*p**2 Let q(w) = 2*w. Let g(k) = 3*k**2 + 2*k - 8. Let f be g(5). Suppose f*v + 6 = 80*v. Let h(p) = 3*p**v + 5 - 8 + 3. Calculate h(q(j)). 12*j**2 Let x(g) = 2*g**2. Suppose -f + 4*f - 15 = 3*n, -n = -4*f + 23. Let y(l) = -144*l + 286*l - 141*l + f + 3. Give x(y(i)). 2*i**2 + 36*i + 162 Let o(y) be the first derivative of -5*y - 5/2*y**2 + 72. Let g(f) = 2*f. Give g(o(t)). -10*t - 10 Let m(a) = 2*a + 2*a - 4*a - 12*a. Let q be (2/(-7))/((-7)/49). Let w(j) = -j**q + 45 + 4*j**2 - 45. Give w(m(x)). 432*x**2 Let a(d) = 29*d. Let m = 271 - 269. Let t(q) = -3*q + m*q + 0*q. Calculate a(t(r)). -29*r Let r(n) be the third derivative of 0*n**3 + 34 + n**2 - 1/24*n**4 + 0*n. Let i(o) = 19*o**2. Give r(i(z)). -19*z**2 Let x(m) = 1082*m. Let w(j) = 0*j**2 - 29142 + 29142 + j**2. Give w(x(f)). 1170724*f**2 Let h(k) = 28*k. Let z be 1/(-1) - -81 - (-1 - 1). Let p(n) = z*n - 4 - 80*n + 4. Calculate p(h(i)). 56*i Let f(l) = -21210387*l**2. Let b(y) = -4*y**2. Give b(f(i)). -1799522066759076*i**4 Let r(s) = 218*s. Let v(t) = 337*t - 108*t - 124*t - 101*t. Calculate r(v(i)). 872*i Let v(l) = -2*l. Let a(g) = 24*g + 3. Suppose 31 = -5*b + 2*u, -48*b + 47*b = 4*u + 15. Let z(k) = -27*k - 3. Let r(n) = b*a(n) - 6*z(n). Determine r(v(o)). 12*o - 3 Let n(f) = -8*f**2 + 1. Let k(i) be the third derivative of -i**7/5040 - 23*i**5/15 - 3*i**2 + 8*i. Let g(q) be the third derivative of k(q). Give g(n(x)). 8*x**2 - 1 Let d(j) = 19*j - 230. Let r(m) = -46. Let c(o) = d(o) - 5*r(o). Let h(w) = 2*w**2 - 32. What is h(c(a))? 722*a**2 - 32 Let p(n) = 34*n**2. Let s be (115/69)/(10/24). Let l(a) = -s*a**2 - 21*a**2 + 22*a**2. Determine p(l(g)). 306*g**4 Let q(x) be the s
{ "pile_set_name": "DM Mathematics" }
t - 15. Let j(x) = -10*n(x) - q(x). Find the first derivative of j(r) wrt r. -14712*r Let k(z) = -z**2 - 60*z - 145. Let g be k(-53). What is the third derivative of -g*y**2 - 5*y**4 + 24366*y**3 + 3*y**4 - 24375*y**3 wrt y? -48*y - 54 Suppose -8764 + 8760 = -2*k. Let m(u) be the third derivative of -2/3*u**3 + 7/12*u**4 + 0*u + 0 - 31*u**k. What is the first derivative of m(w) wrt w? 14 Let v(g) = g**2 + 3*g - 25. Let h be v(-9). Find the second derivative of -7 - h*b**2 + 19*b + 13*b + 9 wrt b. -58 Find the first derivative of 32*f**3 - 84*f**3 - 14 - 75*f**3 + 1719 wrt f. -381*f**2 Suppose -12*i = -3*i - 270. Let o = i - 28. Find the third derivative of 13*g**2 - 7*g**3 - 12*g**2 + g**3 - 9*g**o wrt g. -36 Let v = 2017 - 2014. Let k(i) be the first derivative of 0*i - 16 + 0*i**v + 0*i**5 + 5/6*i**6 + 0*i**4 + 6*i**2. Find the second derivative of k(u) wrt u. 100*u**3 Suppose 2*f - 2*x = -3*x - 16, -3*f - 2*x = 26. Let y = 11 + f. What is the first derivative of -t + y*t - 7 + 21 wrt t? 4 Let u = -15 - -18. Suppose u*v - 6*v + 6 = 0. Find the third derivative of -5*i**v + 7*i**5 + 6*i**2 - 12*i**2 - 2*i**5 wrt i. 300*i**2 Find the second derivative of -254*w**3 - 473*w - 652*w**3 + 270*w**3 - 168*w**3 wrt w. -4824*w Differentiate -1069*r - 348*r + 258*r - 117 + 1250 with respect to r. -1159 Let s = 224 - 212. Suppose 3*n = 2*a - 21, -5*n = 4*a - 6*n - 17. Find the second derivative of s*u**a - 33*u**3 - 56*u + 26*u wrt u. -126*u Find the third derivative of 1237*o**6 - 1 - 1239*o**6 + 7*o**4 + 89*o**2 - 14*o**2 + 7*o - 55*o**3 - 158*o**3 wrt o. -240*o**3 + 168*o - 1278 Let f(g) be the first derivative of 51*g**4/4 - 10*g**3/3 + 141*g**2 + 1114. What is the second derivative of f(o) wrt o? 306*o - 20 Let y be (2422/70)/(3/15). Find the third derivative of -17*d**6 - y*d**5 - 1 + 11*d**2 + 173*d**5 wrt d. -2040*d**3 Let m = 13560 + -13557. Let f(a) be the first derivative of 0*a**2 + 0*a**4 + 23/3*a**m - 10 + 0*a + 2/5*a**5. Find the third derivative of f(d) wrt d. 48*d What is the second derivative of -80*c**2 - 8344*c**3 - 3736*c - 16*c**4 + 8343*c**3 + 95*c**2 wrt c? -192*c**2 - 6*c + 30 Let z(d) be the third derivative of d**7/35 - 17*d**6/20 - 2393*d**5/30 + 75*d**2 - 2*d + 4. Find the third derivative of z(w) wrt w. 144*w - 612 Let m(p) = -3*p**3 - 2. Let x(l) = l**3 - 4*l**2 - 4*l - 7. Let f be x(5). Let k be m(f). What is the derivative of -k*g**2 + 9*g - 9*g + 50 wrt g? -44*g Let d(g) be the first derivative of 3*g**5 + g**2/2 - 1215*g - 1329. Differentiate d(y) wrt y. 60*y**3 + 1 Let l(s) be the third derivative of s**7/105 + 214*s**6/15 - 1031*s**4/12 - 4*s**2 + 509*s. What is the second derivative of l(a) wrt a? 24*a**2 + 10272*a Let b(q) be the third derivative of 36*q**2 + 0 + 0*q**5 + 0*q**3 + 7/120*q**6 + 17/3*q**4 + 0*q. Find the second derivative of b(a) wrt a. 42*a Let l be (2 + -7)*3*(-75)/9. What is the second derivative of -l*m**3 - 9 + 57*m - 13 - 4*m + 24 wrt m? -750*m Let u(r) = 94*r**3 + 188*r**2 - 24*r - 12158. Let i(l) = -38*l**3 - 75*l**2 + 10*l + 4863. Let w(x) = 12*i(x) + 5*u(x). Find the first derivative of w(t) wrt t. 42*t**2 + 80*t Let n = -3674 + 1284. Let x = n + 6633. Find the second derivative of -4234*f**3 - 6*f + 3*f + x*f**3 wrt f. 54*f Suppose 0 = 3*j + 2*n + 7 - 85, -n + 52 = 2*j. Find the second derivative of -1 - 11*g**4 - 26*g**3 + j*g**3 - 60*g**2 + 59*g**2 + 8*g - 7 wrt g. -132*g**2 - 2 Suppose -3*f + 6 = -t, 5*t + f + 22 = 40. What is the third derivative of -361*g**t + 361*g**3 + 3*g**6 + g**5 + 46*g**2 wrt g? 360*g**3 + 60*g**2 Let n(l) be the third derivative of 1961*l**6/120 + l**4/12 - 538*l**3/3 - 2256*l**2. Find the first derivative of n(i) wrt i. 5883*i**2 + 2 Differentiate 3009*a**3 - 2347 - 932 - 3009*a**3 + 5073*a**4 with respect to a. 20292*a**3 Let k(c) be the first derivative of -964*c**3 + c**2/2 + 2687*c + 6866. What is the derivative of k(o) wrt o? -5784*o + 1 Let b = -526 + 529. What is the derivative of -b*c + 7*c - 34 + 7*c**2 - c**2 + 5*c - 167 wrt c? 12*c + 9 Let j(r) be the first derivative of -283*r**4/2 - 316*r**3 + 1212. What is the third derivative of j(p) wrt p? -3396 Let w(i) = -7544*i**3 + 17*i**2 + 5*i - 24. Let l(h) = h**2 + h - 5. Let y(j) = 4*l(j) - w(j). What is the third derivative of y(g) wrt g? 45264 Let x(z) = 2*z**3 + z**2 - 2*z - 9. Let r(d) = -976*d**3 - 4*d**2 - 1130*d + 27. Let k(f) = -r(f) - 3*x(f). What is the second derivative of k(s) wrt s? 5820*s + 2 Let w(o) be the third derivative of 3057*o**7/70 - 1699*o**4/12 - 3856*o**2. Find the second derivative of w(a) wrt a. 110052*a**2 Suppose 3*v + 4 = -4*g + 194, -4*g + 3*v + 178 = 0. Find the first derivative of -3*i**4 - 209*i - g + i**4 + 138*i wrt i. -8*i**3 - 71 Let h(i) = 3452*i**4 + 5677*i**2 - 19*i. Let u(w) = 20724*w**4 + 34062*w**2 - 111*w. Let f(a) = 35*h(a) - 6*u(a). What is the third derivative of f(y) wrt y? -84576*y Let t(m) = m + 2*m + 3 - 8*m - 10*m. Let p be 33/(-9) + (-3)/9. Let g(c) = c. Let w(q) = p*g(q) - t(q). What is the first derivative of w(x) wrt x? 11 Suppose 9*b - 470 + 38 = 0. What is the third derivative of b*n**3 - 2*n**4 - 13 - 51 - 77*n**2 + 64 wrt n? -48*n + 288 Let m(y) = -48*y**3 + 7*y**2 - 1663. Let b(x) = x**3 + x**2 - 5. Let r(n) = 2*b(n) - m(n). Find the first derivative of r(f) wrt f. 150*f**2 - 10*f What is the second derivative of -1 + 639*u + 840*u - 39*u**2 + 555*u + 5*u**4 - 120*u wrt u? 60*u**2 - 78 Let s = -25 + 24. Let o be 2*6*s/(-2). What is the third derivative of 0 + 4 + g**o - 4 + 5*g**2 wrt g? 120*g**3 Suppose 0 = 3*z - 85 + 55. Suppose -3*c + 24 = 3*s, -3*s - 2*s + z = -5*c. What is the first derivative of -12 + 4*k**2 + 3*k**2 + s*k**2 wrt k? 24*k Let j(h) = -2*h**4 - h**3 - 2*h**2. Let b(r) = 3*r**4 + r**3 + 2*r**2 + 277*r + 2527. Let w(z) = b(z) + j(z). Differentiate w(g) with respect to g. 4*g**3 + 277 Let s(x) = -7*x**5 - 108*x**4 + 38*x**2 - x. Let m(j) = -13*j**5 - 217*j**4 + 74*j**2 - j. Let k(t) = 6*m(t) - 11*s(t). Find the third derivative of k(h) wrt h. -60*h**2 - 2736*h Let j be 6/(-6)*3*146/(-6). Find the second derivative of 31*l + 8 - 11 + 1 - 22*l - j*l**3 + 1 wrt l. -438*l Let f(c) = -c**3 - 3*c**2 + 7*c. Let q be f(-5). Let k = -1758 - -1767. Find the second derivative of 13*r**2 - 12*r**2 + q*r - k*r**2 wrt r. -16 What is the third derivative of -834*m**2 + 9*m**3 - 1918*m**4 - 704*m**2 - 22*m**3 + 15*m**3 wrt m? -46032*m + 12 Suppose 4*c = 5*s - 154, c = 2*s - 28 - 12. Let o = c - -52. Find the second derivative of -1355 - 14*t - o*t**2 + 1355 wrt t. -32 Find the third derivative of -400*j**2 + 1308 + 1016*j**2 - 653 - 655 + 499*j**4 wrt j. 11976*j Let y(j) = -8*j + 15. Let q be (1 - -2)/(15/60410). Let b(l) = -12043*l - 74 + q*l - 1. Let h(c) = 5*b(c) + 24*y(c). Differentiate h(r) with respect to r. 3 Suppose 2*l + 5*w = 46, 0 = 3*l + w + 4*w - 79. Let g = l - 29. What is the second derivative of -12*j + 5*j**g + 9*j**4 + 2 - 2 wrt j? 168*j**2 Let b(a) be the third derivative of 1097*a**7/105 - 1471*a**3/6 + 174*a**2 + 4. Differentiate b(v) wrt v. 8776*v**3 Suppose -44*j + 257 = 81. Find the first derivative of 21 - 7*x**j - 83 - 102 - 83*x**4 wrt x. -360*x**3 Suppose -2*i - 6 = 0, 0*i + 1 = 2*v + i. Let t(b) be the third derivative of 4/3*b**3 + 0 - 11/24*b**4 - v*b**2 + 0*b. Differentiate t(n) with respect to n. -11 Let c(m) = m**4 - m**3 + 2*m**2 - 3*m. Let j(z) = 704*z**4 + 4*z**3 - 9*z**2 - 3*z. Let p(s) = -4*c(s) - j(s). Find the third derivative of p(q) wrt q. -16992*q Let r(l) = 18*l**3 + 3*l**2 - l + 4766. Let q(u) = -23*u**3 - 2*u**2 - u - 4767. Let k(b) = -3*q(b) - 4*r(b). Differentiate k(n) with respect to n. -9*n**2 - 12*n + 7 Let q be (-2)/(-6) - 534/(-54)*-6. Let x = q - -65. What is the third derivative of 32*m**2 - 66*m**2 + 32*m**2 + 0*m**x + 7*m**6 wrt m? 840*m**3 Let r = 44 + -41. Find the third derivative of -2*p**2 + 11 + 120*p**3 + 4*p**2 - 25*p**r wrt p. 570 Let a be 0/(-11*18/(-99)). Let s(d) = -d**2 + 5*d + 4. Let v be s(5). Find the second derivative of 4*j + a*j - 20*j**4 - 4*j**v - 3*j wrt j. -288*j**2 Let z(m) be the first derivative of 0*m**2 + 0*m**4 - 7/2*m**6 - 73/3*m**3 + 0*m**5 - 14 + 0*m. Find the third derivative of z(b) wrt b. -1260*b**2 Suppose 4 = 3*w - 2. Let q be (5/20)/((-8)/8
{ "pile_set_name": "DM Mathematics" }
-2100102 What is ae8 (base 15) in base 2? 100110100100 455 (base 14) to base 13 511 5309 (base 14) to base 8 33755 -43b2 (base 14) to base 11 -8895 What is -3017 (base 13) in base 7? -25163 What is 6804 (base 12) in base 3? 120210211 What is -30031 (base 4) in base 11? -650 1c3 (base 14) to base 6 1411 1061 (base 9) to base 3 1002001 Convert 1487 (base 14) to base 12. 213b What is -21110 (base 9) in base 14? -511b 23bb (base 12) to base 16 fbf Convert -2614 (base 7) to base 3. -1100201 64065 (base 8) to base 4 12200311 32204 (base 5) to base 14 b19 -6861 (base 10) to base 12 -3b79 10011000 (base 3) to base 11 17a7 What is 211001 (base 3) in base 7? 1510 3bd6 (base 16) to base 12 8a46 What is 122212000 (base 3) in base 16? 32d6 Convert 8932 (base 13) to base 6. 224334 514 (base 14) to base 13 5ba 5b2 (base 13) to base 12 6a6 350 (base 7) to base 11 156 -352 (base 6) to base 15 -95 -4161 (base 7) to base 6 -10440 What is -201a (base 13) in base 5? -120132 What is 120020022 (base 3) in base 4? 2231201 b8 (base 15) to base 5 1143 What is 1273 (base 11) in base 9? 2236 Convert -34 (base 9) to base 6. -51 What is -26a (base 15) in base 12? -39a What is 642 (base 7) in base 13? 1bc Convert -224345 (base 7) to base 14. -107cc Convert 7256 (base 16) to base 7. 151223 Convert -405 (base 8) to base 11. -218 What is -13570 (base 10) in base 2? -11010100000010 Convert -131061 (base 7) to base 5. -1240041 Convert 303322 (base 4) to base 16. cfa -123203 (base 5) to base 10 -4803 8542 (base 12) to base 5 431334 -645 (base 14) to base 4 -103111 Convert 3004 (base 12) to base 4. 1101010 Convert -4455 (base 6) to base 12. -72b What is -39 (base 12) in base 5? -140 131 (base 11) to base 2 10011011 What is 1000320 (base 4) in base 16? 1038 What is -203432 (base 6) in base 2? -11111111101100 What is -10100012 (base 3) in base 4? -212003 -12420 (base 6) to base 16 -75c What is 20541 (base 9) in base 11? a211 1221 (base 3) to base 7 103 Convert -3233 (base 5) to base 4. -12323 424041 (base 5) to base 3 201120120 -3001 (base 4) to base 12 -141 Convert -772 (base 9) to base 10. -632 103e (base 16) to base 13 1b7b Convert -2450b (base 12) to base 9. -74332 What is -1100010000101 (base 2) in base 9? -8544 What is 132030 (base 4) in base 9? 2576 What is -28baa (base 12) in base 7? -325132 What is 11100110101 (base 2) in base 6? 12313 9768 (base 13) to base 6 241230 Convert -57 (base 8) to base 6. -115 Convert 211132 (base 4) to base 13. 1126 What is -1532 (base 14) in base 16? -eb8 -1dd (base 16) to base 9 -580 What is 110111000001 (base 2) in base 5? 103041 What is 6131 (base 7) in base 15? 96e Convert -14152 (base 7) to base 11. -2999 13511 (base 9) to base 2 10001111001011 317 (base 11) to base 4 11331 -17b40 (base 12) to base 8 -103240 321e (base 16) to base 9 18535 -1516 (base 8) to base 3 -1011100 Convert 1111000010 (base 2) to base 6. 4242 Convert 221130 (base 8) to base 2. 10010001001011000 Convert -6654 (base 15) to base 10. -21679 What is 3116 (base 11) in base 7? 15021 Convert -2753 (base 10) to base 5. -42003 What is -26142 (base 7) in base 3? -100112000 What is -11001001 (base 2) in base 6? -533 Convert -25582 (base 10) to base 7. -134404 Convert -363 (base 13) to base 4. -21030 3b85 (base 16) to base 8 35605 What is 1dcd (base 14) in base 6? 41201 What is -23342 (base 7) in base 3? -22020112 What is -1022332 (base 4) in base 8? -11276 What is 1671 (base 12) in base 7? 10543 Convert 9872 (base 11) to base 7. 52656 What is 3750 (base 16) in base 9? 21373 33244 (base 7) to base 14 3094 Convert 657 (base 9) to base 15. 25d -20770 (base 8) to base 4 -2013320 Convert 22323 (base 4) to base 2. 1010111011 What is 20221123 (base 4) in base 2? 1000101001011011 What is -1949 (base 13) in base 8? -7303 Convert 3b14 (base 13) to base 15. 2797 5ca2 (base 16) to base 13 aa42 -1422551 (base 6) to base 12 -3aa57 -660 (base 8) to base 12 -300 -211 (base 12) to base 9 -364 -10210223 (base 4) to base 10 -18731 What is 14001 (base 5) in base 16? 466 What is -47b (base 12) in base 13? -3c8 Convert -51331 (base 7) to base 8. -30345 -534 (base 15) to base 5 -14144 f17 (base 16) to base 11 29a2 Convert 1022015 (base 6) to base 15. eacb -1274 (base 14) to base 6 -22554 What is 51ba (base 12) in base 10? 8926 202101 (base 3) to base 5 4200 -122 (base 9) to base 13 -7a What is 454 (base 6) in base 3? 20121 What is 8282 (base 9) in base 10? 6068 What is -40323 (base 6) in base 7? -21321 What is -87e (base 15) in base 2? -11101111111 32133012 (base 4) to base 3 10000101120 What is -2303 (base 7) in base 11? -6a0 Convert c9 (base 16) to base 5. 1301 -766 (base 8) to base 14 -27c What is -1822 (base 13) in base 2? -110111111001 605 (base 16) to base 3 2010002 Convert 62b5 (base 15) to base 6. 240342 What is -101100001000011 (base 2) in base 15? -6a65 What is -11578 (base 10) in base 9? -16784 Convert 1ab (base 14) to base 11. 296 -243421 (base 5) to base 4 -2100110 Convert c5f (base 16) to base 6. 22355 123646 (base 9) to base 7 431220 Convert -4d4 (base 15) to base 4. -101023 Convert 244112 (base 5) to base 2. 10010001000010 1307 (base 9) to base 7 2566 What is 30115 (base 6) in base 5? 111220 -6b1 (base 14) to base 6 -10055 What is -662 (base 10) in base 4? -22112 What is 13967 (base 11) in base 15? 5ceb What is -53084 (base 10) in base 9? -80732 Convert -102110122 (base 3) to base 6. -102412 928 (base 16) to base 5 33334 Convert -10201101 (base 3) to base 15. -c0a What is -120323 (base 4) in base 2? -11000111011 Convert 13212 (base 4) to base 8. 746 What is -176 (base 14) in base 12? -210 What is -1011 (base 4) in base 6? -153 Convert -216 (base 16) to base 6. -2250 Convert 1374 (base 9) to base 5. 13124 Convert -346 (base 16) to base 4. -31012 Convert -2011 (base 8) to base 9. -1367 Convert 1b8 (base 13) to base 12. 228 Convert -5460 (base 9) to base 14. -1675 Convert 130300 (base 5) to base 15. 1785 Convert -15650 (base 7) to base 11. -3381 What is 11122 (base 3) in base 10? 125 What is -21612 (base 9) in base 8? -34014 What is 1906 (base 15) in base 7? 21522 Convert -2022 (base 3) to base 9. -68 -475 (base 16) to base 14 -5b7 What is 47d5 (base 15) in base 3? 202221202 Convert 53520 (base 8) to base 11. 15880 What is 4056 (base 7) in base 8? 2605 Convert -3925 (base 10) to base 5. -111200 What is 2ac (base 14) in base 2? 1000100000 What is 1658 (base 16) in base 5? 140340 What is 23232 (base 4) in base 6? 3250 Convert 1348 (base 10) to base 7. 3634 Convert 1001111000 (base 2) to base 16. 278 What is 21113031 (base 4) in base 15? b569 1756 (base 8) to base 15 471 3b9a (base 12) to base 16 1ae6 -13644 (base 7) to base 12 -2210 What is -172d6 (base 14) in base 9? -87751 What is 4026 (base 11) in base 16? 14e8 202021102 (base 3) to base 14 555a What is 4221 (base 11) in base 7? 22203 6144 (base 8) to base 6 22404 83b (base 13) to base 3 1220221 What is 24d8b (base 14) in base 4? 112011233 What is -551 (base 15) in base 2? -10010110001 Convert -19078 (base 10) to base 8. -45206 What is -1022323 (base 4) in base 10? -4795 4226 (base 7) to base 16 5d2 -2146 (base 9) to base 8 -3055 Convert -1013b (base 12) to base 7. -115004 -aac (base 15) to base 5 -34122 Convert 1056 (base 8) to base 9. 680 Convert 11424 (base 5) to base 15. 3c9 2b90 (base 13) to base 14 2470 -342343 (base 5) to base 10 -12223 -13003 (base 4) to base 3 -121201 248ba (base 12) to base 6 1021554 130310 (base 5) to base 14 1bcc Convert 343 (base 14) to base 15. 2d2 Convert 408c (base 16) to base 13. 76a1 Convert -440 (base 8) to base 13. -192 163 (base 15) to base 11 26a Convert -1112000 (base 3) to base 6. -5043 What is 240453 (base 6) in base 15? 62e3 Convert -1001101100101 (base 2) to base 11. -3804 What is 1874 (base 12) in base 9? 4057 What is -10434 (base 7) in base 14? -d54 Convert 5055 (base 8) to base 10. 2605 2110220 (base 3) to base 13 a8c Convert -1130 (base 15) to base 7. -13425 -40042 (base 7) to base 10 -9634 What is -5760 (base 8) in base 16? -bf0 Convert 8a29 (base 12) to base 11. 10547 9b1 (base 16) to base 6 15253 What is 454 (base 9) in base 16? 175 -1940a (base 13) to base 5 -3032040 102a (base 12) to base 14 8dc -164c (base 14) to base 4 -332110 110100221 (base 3) to base 13 4147 What is -10699 (ba
{ "pile_set_name": "DM Mathematics" }
ber? True Suppose -5 = 5*q - 0*x - x, -2*q + 5 = x. Suppose q - 4 = -2*l. Let u = 12 + l. Is u a composite number? True Let w(r) = 12*r + 6. Let l be w(-6). Let d be -2*163*(-2)/4. Let h = d + l. Is h a composite number? False Let n(v) = 2*v**2 + 4*v + 3. Suppose o - 3*o - 4 = 0. Is n(o) a prime number? True Suppose 4*s - 5*z + 2*z = 13427, 5*z + 6703 = 2*s. Is s a prime number? True Let o(h) = -h**3 - 8*h**2 - 7*h + 5. Let g be o(-7). Let n be 10*(5/2)/g. Suppose -9 = -2*k + n. Is k prime? True Suppose 2*v = 8 + 416. Suppose -2*z = -v - 498. Is z prime? False Let r be (-22)/(-6) + (-6)/9. Suppose 0 = -2*a + 3 + r. Suppose -c + 5*c + 3*g - 50 = 0, -44 = -a*c + g. Is c a composite number? True Let s(x) = 126*x - 1. Is s(10) a composite number? False Let n be (3274/5)/(2/10). Let d be (-12)/(-66) - n/(-22). Suppose -5*u = -w + d, 5*w + 2*u - 745 = u. Is w composite? False Suppose 5*g + 0*j + 46 = -j, 0 = 2*j + 2. Let t(k) = -k**2 - 10*k - 5. Let u be t(-11). Let a = g - u. Is a prime? True Let v(x) be the third derivative of -1/12*x**4 + 3*x**2 + 1/30*x**5 + 0 - 5/6*x**3 + 0*x. Is v(6) a prime number? False Suppose -1 + 3 = p. Suppose 5*s + p*h + 1104 = 0, 822 = -4*s - h - 63. Is (-6)/(-4)*s/(-9) a prime number? True Let g(d) = 3*d + 1. Let r be g(-1). Let n be (-2 + r)*14/(-8). Suppose n*u - 4*u = 357. Is u composite? True Suppose -4*b = -3 - 17. Suppose -i = -b*i - c, 0 = 3*i + 2*c. Suppose i = -j + 15 + 16. Is j prime? True Let g = -43 - -740. Is g composite? True Suppose 12938 = 2*y + 5*p, 2*y - 3*p = 4*y - 12938. Is y prime? True Let t be -1*(-2 - (-3 + 6)). Suppose 0 = 4*y - t*y + 329. Is y prime? False Let z(t) = t**3 + 2*t**2 + t + 1481. Is z(0) a composite number? False Suppose 5*t = -23 - 17. Let l = 4 + t. Is l + 2 - -3 - -84 a prime number? False Let t = 82 - -79. Is t composite? True Let n(a) = a**3 + 14*a**2 + 14*a + 17. Let b be n(-13). Suppose 2*j + 261 = -q + b*q, 0 = -2*q + 5*j + 163. Is q prime? True Let a = -14 - -6. Let u(m) = 2*m**2 + 10*m + 5. Is u(a) a composite number? False Let p(m) = 5*m - 1. Let x(i) = 6*i - 2. Let q(n) = 5*p(n) - 4*x(n). Is q(8) a composite number? False Let a be 784/26 + (-2)/13. Let t = a + 261. Is t composite? True Suppose 0 = 4*m + m. Suppose m = 5*w - 5*a - 80, -3*w - 6*a + 4*a + 63 = 0. Is w composite? False Let f = -281 - -33. Let z = -85 - f. Is z composite? False Suppose 5*l - 1639 = 1296. Is l prime? True Let o = 7 + -7. Suppose 5*j = j - y + 435, j + 3*y - 106 = o. Is j prime? True Suppose a = 5*r + 5*a + 15, 9 = -3*r - 2*a. Is -2 + 4 - 17*r prime? True Suppose 7727 = 5*n - 4*y, -6 = 4*y + 6. Is n composite? False Let u be ((-3)/(-3))/(-1) + 24. Suppose n - 41 = -5*t, -t - 3*t - u = -n. Is n prime? True Let u(j) = -j**3 + 17*j**2 + 5*j - 2. Is u(17) prime? True Suppose -i = b - 0*b + 7, -5*b - 3*i = 29. Let z be (76/(-6))/(b/144). Suppose 0 = -3*w - 63 + z. Is w a prime number? True Let g be -2 + (3 - 1) + 0. Suppose -2*o - 4*r = r - 60, g = -5*o + 3*r + 212. Let j = 7 + o. Is j a composite number? False Let p(c) be the second derivative of -c**5/20 - 11*c**4/12 + 17*c**3/6 + 4*c**2 - 4*c. Let l be p(-13). Suppose 0*r - 5*r + l = 0. Is r prime? False Let m(k) be the first derivative of k**2/2 + k + 3. Let c be m(0). Is c/(-3) + (-308)/(-6) prime? False Let h = -7 - -15. Let z be h/12*6*1. Suppose -z*p - c = -0*c - 14, -4*p + 10 = 3*c. Is p a prime number? False Let i be (114/24)/((-2)/(-8)). Suppose i = 3*b + q, -3 = -3*b - 0*q + 3*q. Suppose -3*s - 4*y = -235, -b*y - 406 = -5*s - 26. Is s a composite number? True Let s(o) = 3*o**2 + 10*o + 10. Is s(-6) a prime number? False Suppose 0 = -q - 3 + 1. Is (-105)/q + 6/(-4) prime? False Suppose 0 = 2*o - 2*a - 2706, 46 - 5474 = -4*o - 4*a. Is o composite? True Let w(c) = c**2 + 887. Is w(0) prime? True Let h(l) = -l**2 + 4*l - 4. Let q(g) = -g**2 + 4*g - 5. Let r(b) = -4*h(b) + 3*q(b). Suppose 4*j = 2*y - 2, 2 = -4*y + 3*j + 2*j. Is r(y) prime? False Let u = -84 - -153. Is u composite? True Let n(o) be the third derivative of -5*o**4/12 + 3*o**3/2 + o**2. Suppose -12*t = t + 91. Is n(t) a composite number? False Is -2*(9837/(-126) - 3/7) prime? True Let x(z) = z**3 - 7*z**2 - 2*z + 9. Let o be x(7). Let l = -4 - o. Is -2*l*-1*29 a prime number? False Let h(y) = 6*y**2 + 4*y + 9. Suppose 5*t + 9 = 3*q - 7*q, 0 = 5*t - 15. Let k be h(q). Is ((-8)/12)/((-2)/k) a prime number? True Is 6 + (-31)/5 - (-3486)/5 prime? False Suppose -x = -2 - 0. Is 2*x/(-4)*-67 composite? False Let p be (-8)/6*(-6)/4. Let f be 130/(-18) + p/9. Let t(m) = -m**3 - 5*m**2 + 9*m + 2. Is t(f) composite? False Suppose 4*h - 7500 - 727 = -5*s, 0 = -5*h - s + 10268. Is h a composite number? False Let c = -1155 + 1642. Is c composite? False Let q(n) = -n**3 + 14*n**2 - 9*n - 13. Suppose 0*z - 22 = -2*z. Is q(z) a prime number? True Suppose 2*a = 186 + 772. Is a prime? True Let g = 142 + -53. Let h = g - -68. Is h a prime number? True Let f(m) = 36*m - 3. Let y(s) = 4*s - 5. Let w(c) = -7*c + 9. Let p(z) = 3*w(z) + 5*y(z). Let k be p(0). Is f(k) composite? True Let l = -135 - -228. Let y = -395 + 603. Let x = y - l. Is x composite? True Let d(x) = x**2 + 3*x + 2. Let n be d(-4). Suppose -3*v + 72 = -4*b, v - n*b = -2*b + 16. Let r = 9 + v. Is r prime? True Let h be -9 + 1 - (3 + -1). Let m = h + 14. Suppose -5*w + 245 = 4*i, 2*w + 2*i - m = 94. Is w a composite number? True Suppose 0*v - 4*v - d = -12813, 3*d - 3206 = -v. Is v prime? True Let y = -5 - -3. Let c be -6*(y - -1)/1. Suppose 0 = -c*d + d + 175. Is d a prime number? False Let s = 86 - 64. Is s a composite number? True Suppose 0 = -0*q + 5*q - 10. Suppose 3*k + 0*y - 5*y = -5, -y = -2*k - 15. Is q/10 - 328/k a prime number? False Let f = 73 - 15. Suppose -4*c - f = 2*d - 4*d, -4*c = 5*d - 89. Is d a composite number? True Suppose -45 - 1 = -2*q. Suppose 0 = -3*d - 2*d. Let h = d + q. Is h composite? False Let s = -26 + 32. Let v(h) = 37*h + 11. Is v(s) a prime number? True Let z(g) = g**3 + 21*g**2 + 13*g + 22. Is z(-9) composite? False Let u be (-42)/4 + (-6)/(-4). Let l = u + 136. Is l composite? False Suppose 0*g + 5*x = g - 1308, -5*x = 5*g - 6450. Is g a prime number? False Suppose 0 = 3*f + f + 20. Let s(c) = -11*c - 11*c + 10*c - 5. Is s(f) prime? False Suppose 3*q + 7 = 2*r, -4*q - 5*r + 37 - 8 = 0. Let h = 3 - q. Suppose -h*x = -6*x + 136. Is x a prime number? False Suppose -695 = -5*o - 0*o. Is o prime? True Let u(f) = 3 - f**2 + 2 - 1 - 3. Let z(j) = -4*j**2 - 4*j - 5. Let p(b) = -6*u(b) - z(b). Is p(-3) a prime number? False Suppose 8 = -0*d - 4*d. Is (35 - d)*(4 - 3) composite? False Suppose c - k = 216 + 411, 0 = -4*k - 16. Is c prime? False Let a(j) = j**2 + 4. Let i(t) = -t**2 + t - 5. Let h(p) = 3*a(p) + 2*i(p). Is h(-9) composite? True Is 257 + (-2 + 4)*1 composite? True Let c = -535 - -847. Suppose c = 2*f - 478. Is f a composite number? True Let n = 14 - 9. Suppose 3*j - 116 = -4*f + n*j, 0 = -j + 4. Is f a composite number? False Let h(t) = -3 + 4 + 0 + 121*t. Is h(4) composite? True Let r be 1 + 39/9*3. Let q(j) = j**3 - 11*j**2 - 20*j + 15. Is q(r) a composite number? True Is 10250/130 - 2/(-13) a prime number? True Let h be (-7)/(((-5)/6)/(-5)). Is (-2)/(-12) - 1295/h composite? False Suppose 0 = -4*u - 3*r + 46, -u = 3*u - 5*r - 62. Suppose 3*n + 2*n = -30. Let j = u - n. Is j prime? True Let y = -35 - -50. Is y a composite number? True Let p(u) = 8*u**2 - 19*u + 5. Is p(6) composite? False Let j be 2/(1 - 1/3). Let i(x) = -3*x + 5. Let o be i(-7). Suppose 5*t + o + 69 = j*w, -3*w - 5*t = -115. Is w a composite number? True Let s be (-1750)/(-15) - (-4)/(-6). Let r = s + -61. Is r composite? True Let j(a) = -32*a - 7. Let b(o) = -o**3 - 12*o**2 - 10*o + 4. Let i be b(-11). Is j(i) prime? False Let z(i) be the second derivative of i**5/60 - i**4/24 - 11*i**3/6 + 2*i**2 + 2*i. Let f(n) be the first derivative of z(n). Is f(-11) composite? True Is (17/3)/((-3)/(-171)) prime? False Let n = -11 - -14. Let q(s) = 3*s**2 - 8*s + 4. Is q(n) prime? True Suppose -p + 48 = -0*p. Suppose 0*x + p = -3*x. Is ((-145)/2)/(8/x) composite? True Is 14172/18 - 1/3 a prime number? True Let w be 0/(-2 + -1) + 3. Suppose -3*q = -w*p - 15, -2*p - 2 = 2*q - 0. Is 4 - (-3 + 2 + q) composite? False Let w = 3 - 1. Su
{ "pile_set_name": "DM Mathematics" }
s the hundred thousands digit of 8505738? 5 What is the thousands digit of 2470774309? 4 What is the hundred thousands digit of 59051375? 0 What is the units digit of 131511873? 3 What is the hundred millions digit of 1907586032? 9 What is the units digit of 45531699? 9 What is the hundred thousands digit of 652146493? 1 What is the ten thousands digit of 704308884? 0 What is the millions digit of 3276204563? 6 What is the billions digit of 6068549148? 6 What is the thousands digit of 32606034? 6 What is the hundred millions digit of 203149974? 2 What is the hundreds digit of 28135199? 1 What is the units digit of 151062443? 3 What is the ten thousands digit of 703949? 0 What is the hundred thousands digit of 20301668? 3 What is the tens digit of 31092434? 3 What is the millions digit of 596137071? 6 What is the units digit of 112231271? 1 What is the hundreds digit of 946366741? 7 What is the thousands digit of 969078235? 8 What is the hundred thousands digit of 34656032? 6 What is the thousands digit of 90685443? 5 What is the hundreds digit of 80529616? 6 What is the units digit of 545216883? 3 What is the hundreds digit of 2118057984? 9 What is the ten thousands digit of 242995774? 9 What is the millions digit of 80166726? 0 What is the millions digit of 3775514565? 5 What is the ten thousands digit of 3319410987? 1 What is the millions digit of 6797091? 6 What is the tens digit of 3161754999? 9 What is the units digit of 97380628? 8 What is the hundred millions digit of 278557491? 2 What is the hundred millions digit of 1320874580? 3 What is the tens digit of 1809285403? 0 What is the tens digit of 606988910? 1 What is the thousands digit of 3681882473? 2 What is the ten thousands digit of 5915833? 1 What is the ten thousands digit of 33467529? 6 What is the thousands digit of 67835370? 5 What is the hundred millions digit of 2855864415? 8 What is the millions digit of 4256779? 4 What is the hundred thousands digit of 305349903? 3 What is the hundreds digit of 42929434? 4 What is the hundred thousands digit of 31276757? 2 What is the units digit of 3926313468? 8 What is the units digit of 99711558? 8 What is the hundred millions digit of 5395380213? 3 What is the tens digit of 304468241? 4 What is the ten thousands digit of 949351857? 5 What is the ten thousands digit of 35498541? 9 What is the thousands digit of 628678579? 8 What is the ten thousands digit of 45466385? 6 What is the hundred millions digit of 2103928565? 1 What is the millions digit of 76181757? 6 What is the ten millions digit of 238900102? 3 What is the hundreds digit of 590321616? 6 What is the hundred thousands digit of 375138758? 1 What is the millions digit of 68951838? 8 What is the hundreds digit of 599721279? 2 What is the hundreds digit of 70722750? 7 What is the thousands digit of 165204963? 4 What is the billions digit of 1851397119? 1 What is the thousands digit of 640835061? 5 What is the units digit of 265477400? 0 What is the hundred millions digit of 284013691? 2 What is the ten millions digit of 31399762? 3 What is the ten millions digit of 619546331? 1 What is the units digit of 1599859928? 8 What is the ten thousands digit of 114067426? 6 What is the ten thousands digit of 2825596690? 9 What is the thousands digit of 7593853? 3 What is the units digit of 1811486779? 9 What is the hundred thousands digit of 137416388? 4 What is the billions digit of 7490546431? 7 What is the ten millions digit of 48841159? 4 What is the units digit of 199703013? 3 What is the millions digit of 922476679? 2 What is the hundreds digit of 4142954427? 4 What is the thousands digit of 88071897? 1 What is the units digit of 35781131? 1 What is the tens digit of 4379593936? 3 What is the millions digit of 4333230076? 3 What is the ten thousands digit of 42482926? 8 What is the hundred millions digit of 142310075? 1 What is the tens digit of 1540567820? 2 What is the millions digit of 44553310? 4 What is the units digit of 379933828? 8 What is the ten millions digit of 123089003? 2 What is the hundreds digit of 86961275? 2 What is the hundreds digit of 3036501835? 8 What is the hundred millions digit of 1443925912? 4 What is the billions digit of 4926267942? 4 What is the units digit of 345447013? 3 What is the ten thousands digit of 7334544390? 4 What is the units digit of 322888517? 7 What is the tens digit of 1555492850? 5 What is the hundreds digit of 519653380? 3 What is the tens digit of 731679865? 6 What is the tens digit of 310916978? 7 What is the ten millions digit of 44834813? 4 What is the tens digit of 3225703? 0 What is the hundred millions digit of 1117721900? 1 What is the millions digit of 5768032590? 8 What is the ten thousands digit of 1371126271? 2 What is the hundred millions digit of 471921131? 4 What is the hundreds digit of 730547953? 9 What is the units digit of 27482885? 5 What is the hundred millions digit of 189114436? 1 What is the hundred thousands digit of 465773996? 7 What is the hundreds digit of 1950429348? 3 What is the millions digit of 269614944? 9 What is the thousands digit of 36159183? 9 What is the hundreds digit of 172831237? 2 What is the hundred thousands digit of 773597759? 5 What is the tens digit of 51847667? 6 What is the hundreds digit of 2283338764? 7 What is the ten thousands digit of 134183305? 8 What is the ten thousands digit of 57263186? 6 What is the millions digit of 1148944444? 8 What is the hundred millions digit of 151735683? 1 What is the ten thousands digit of 18162679? 6 What is the ten thousands digit of 14239772? 3 What is the hundred millions digit of 414945151? 4 What is the millions digit of 662178593? 2 What is the thousands digit of 3643772324? 2 What is the hundred thousands digit of 669655842? 6 What is the millions digit of 500901097? 0 What is the thousands digit of 183375110? 5 What is the ten thousands digit of 1623038626? 3 What is the thousands digit of 168040752? 0 What is the thousands digit of 606403619? 3 What is the units digit of 869597547? 7 What is the units digit of 719399954? 4 What is the millions digit of 47478755? 7 What is the thousands digit of 6892082? 2 What is the ten thousands digit of 12057946? 5 What is the ten millions digit of 208118950? 0 What is the hundreds digit of 1190622809? 8 What is the ten millions digit of 185493942? 8 What is the units digit of 344881902? 2 What is the tens digit of 1040758501? 0 What is the hundred thousands digit of 838943929? 9 What is the hundred millions digit of 1444910823? 4 What is the units digit of 3652884706? 6 What is the hundred millions digit of 1133279900? 1 What is the hundred thousands digit of 270780929? 7 What is the hundred thousands digit of 2148494815? 4 What is the millions digit of 4378112061? 8 What is the units digit of 49608420? 0 What is the millions digit of 6409277870? 9 What is the hundred thousands digit of 46570627? 5 What is the ten millions digit of 357521782? 5 What is the ten thousands digit of 802295? 0 What is the hundred thousands digit of 152983909? 9 What is the ten thousands digit of 577541272? 4 What is the tens digit of 339569912? 1 What is the millions digit of 1084385373? 4 What is the thousands digit of 23365110? 5 What is the hundred thousands digit of 45770922? 7 What is the hundreds digit of 484446224? 2 What is the thousands digit of 39732883? 2 What is the hundreds digit of 1478135? 1 What is the ten thousands digit of 4067043739? 4 What is the units digit of 2465587374? 4 What is the ten millions digit of 109922547? 0 What is the ten millions digit of 332433029? 3 What is the tens digit of 781046655? 5 What is the tens digit of 4497992? 9 What is the millions digit of 456732167? 6 What is the hundred millions digit of 218014190? 2 What is the billions digit of 1145697386? 1 What is the hundred millions digit of 367820467? 3 What is the ten millions digit of 911049028? 1 What is the hundred millions digit of 167672194? 1 What is the thousands digit of 3357439299? 9 What is the hundred thousands digit of 35091816? 0 What is the units digit of 36934698? 8 What is the millions digit of 68782475? 8 What is the hundreds digit of 32530539? 5 What is the thousands digit of 1967543945? 3 What is the hu
{ "pile_set_name": "DM Mathematics" }
: 2, b: 1}. What is prob of sequence ss? 6/91 What is prob of sequence nifn when four letters picked without replacement from fiinfn? 1/45 What is prob of sequence td when two letters picked without replacement from {a: 3, d: 1, x: 2, t: 1}? 1/42 Calculate prob of sequence fd when two letters picked without replacement from ddfxxdd. 2/21 What is prob of sequence nnin when four letters picked without replacement from {n: 3, i: 5}? 1/56 Calculate prob of sequence zzjj when four letters picked without replacement from zjlrrrojzbjjj. 1/429 Two letters picked without replacement from {w: 1, b: 1, f: 1, g: 1, j: 1}. Give prob of sequence gb. 1/20 What is prob of sequence vv when two letters picked without replacement from {s: 4, v: 3, q: 4}? 3/55 Two letters picked without replacement from rbrrbbbbbjbrbbbbbr. Give prob of sequence rb. 10/51 Calculate prob of sequence co when two letters picked without replacement from {d: 1, c: 1, t: 1, o: 2, x: 2, q: 1}. 1/28 Calculate prob of sequence pkp when three letters picked without replacement from {s: 1, k: 2, i: 1, p: 4}. 1/14 Three letters picked without replacement from czzlzzzzhhzzz. Give prob of sequence zhh. 3/286 What is prob of sequence gk when two letters picked without replacement from {f: 1, u: 2, s: 1, k: 1, g: 1, r: 2}? 1/56 Four letters picked without replacement from {t: 3, x: 2, o: 4, v: 1}. What is prob of sequence tovo? 1/140 Four letters picked without replacement from ornoonnnn. Give prob of sequence noon. 5/126 Three letters picked without replacement from dhjjm. Give prob of sequence jjm. 1/30 Three letters picked without replacement from {y: 1, k: 2, x: 3, l: 1}. Give prob of sequence lyk. 1/105 Four letters picked without replacement from {f: 3, e: 1, l: 4}. Give prob of sequence felf. 1/70 Two letters picked without replacement from {h: 4, p: 1, k: 1, s: 1, z: 4, c: 1}. What is prob of sequence sh? 1/33 Two letters picked without replacement from ppppppppppspp. Give prob of sequence pp. 11/13 Calculate prob of sequence kww when three letters picked without replacement from mpwkwvkl. 1/84 What is prob of sequence bs when two letters picked without replacement from {s: 2, b: 2, l: 2, h: 4, t: 1, x: 1}? 1/33 What is prob of sequence oiyo when four letters picked without replacement from {i: 1, b: 1, o: 6, t: 1, v: 4, y: 2}? 1/546 Three letters picked without replacement from nnewwowwewew. What is prob of sequence oww? 1/44 Two letters picked without replacement from bmjzibzzzz. What is prob of sequence mi? 1/90 Four letters picked without replacement from {v: 4, m: 1, d: 6, e: 2, q: 2, x: 2}. What is prob of sequence eqxe? 1/7140 Calculate prob of sequence jge when three letters picked without replacement from {j: 3, g: 3, c: 1, o: 2, e: 1}. 1/80 What is prob of sequence yoz when three letters picked without replacement from {z: 2, u: 2, y: 14, s: 1, o: 1}? 7/1710 What is prob of sequence nt when two letters picked without replacement from tjkjnjjg? 1/56 Four letters picked without replacement from {u: 6, n: 2, j: 1, q: 1, d: 2, b: 3}. Give prob of sequence dubq. 1/910 Three letters picked without replacement from {y: 7}. What is prob of sequence yyy? 1 Four letters picked without replacement from {j: 1, a: 2, y: 2, v: 4, x: 2, g: 4}. What is prob of sequence ayvy? 2/4095 What is prob of sequence rx when two letters picked without replacement from oxooxorzxrx? 4/55 What is prob of sequence pzzv when four letters picked without replacement from spzvpzvssvzpp? 3/715 Three letters picked without replacement from {d: 1, r: 2, g: 2, p: 1, z: 1, v: 1}. Give prob of sequence vdr. 1/168 Three letters picked without replacement from {n: 2, c: 2, y: 3, k: 8, m: 5}. Give prob of sequence kmn. 2/171 What is prob of sequence nnnl when four letters picked without replacement from lnnllllnlllllnllll? 7/1530 Two letters picked without replacement from qlzhfqlih. Give prob of sequence lf. 1/36 What is prob of sequence szh when three letters picked without replacement from hwgzssgsqswws? 5/1716 Calculate prob of sequence hh when two letters picked without replacement from {p: 8, h: 2}. 1/45 Four letters picked without replacement from {v: 2, n: 1, r: 2}. What is prob of sequence rrvn? 1/30 What is prob of sequence zzbb when four letters picked without replacement from zzzbzzzb? 1/28 Three letters picked without replacement from {f: 1, h: 2, a: 1, t: 3, l: 3}. What is prob of sequence ltl? 1/40 Calculate prob of sequence wn when two letters picked without replacement from bwnwxwxxww. 1/18 Calculate prob of sequence uur when three letters picked without replacement from uuwuarauwuawawuyu. 7/680 Four letters picked without replacement from cvvcvcccppcpvpvvvvv. What is prob of sequence cvvc? 15/646 Two letters picked without replacement from {s: 3, l: 1, j: 1}. What is prob of sequence lj? 1/20 Two letters picked without replacement from hududafsaafashf. Give prob of sequence af. 2/35 Three letters picked without replacement from rvvlwrvv. What is prob of sequence wlv? 1/84 Three letters picked without replacement from wwxxwx. Give prob of sequence xwx. 3/20 Four letters picked without replacement from zzmwmzzzmmwz. What is prob of sequence zmwz? 2/99 Three letters picked without replacement from fgffmfzgzugfr. Give prob of sequence gfg. 5/286 What is prob of sequence ddpy when four letters picked without replacement from ydpdpdpppppdpdy? 8/819 Two letters picked without replacement from buapv. What is prob of sequence bv? 1/20 Two letters picked without replacement from {k: 3, u: 4, r: 3, e: 4}. What is prob of sequence ke? 6/91 What is prob of sequence pi when two letters picked without replacement from {y: 1, g: 2, i: 1, p: 2}? 1/15 Calculate prob of sequence zsz when three letters picked without replacement from {z: 2, s: 1}. 1/3 What is prob of sequence wwp when three letters picked without replacement from gpgpggppwwggww? 2/91 What is prob of sequence kk when two letters picked without replacement from {d: 1, u: 1, g: 1, k: 3, t: 1}? 1/7 What is prob of sequence sss when three letters picked without replacement from {i: 1, c: 9, s: 4, x: 1}? 4/455 Four letters picked without replacement from {q: 3, g: 11}. Give prob of sequence qqgq. 1/364 Three letters picked without replacement from {a: 2, k: 7, u: 1, q: 2}. What is prob of sequence qqa? 1/330 Four letters picked without replacement from {o: 5, z: 2, d: 2, f: 3, t: 3}. Give prob of sequence dzdz. 1/8190 Four letters picked without replacement from {c: 5, n: 1, p: 3}. What is prob of sequence cppp? 5/504 Two letters picked without replacement from {c: 8, w: 1, b: 6}. What is prob of sequence bc? 8/35 Four letters picked without replacement from bnnnknb. What is prob of sequence knbn? 1/35 Two letters picked without replacement from {a: 15, o: 5}. Give prob of sequence oa. 15/76 Calculate prob of sequence rrr when three letters picked without replacement from {r: 9}. 1 Calculate prob of sequence ddd when three letters picked without replacement from uddudd. 1/5 What is prob of sequence jooj when four letters picked without replacement from jjojjojjjjjj? 1/66 What is prob of sequence yqrz when four letters picked without replacement from {o: 1, r: 1, y: 1, z: 1, q: 4}? 1/420 Four letters picked without replacement from dccovovfccvc. What is prob of sequence cffv? 0 Three letters picked without replacement from {a: 1, s: 6, p: 5, z: 3, e: 3}. Give prob of sequence zsp. 5/272 Two letters picked without replacement from {z: 7, q: 7}. What is prob of sequence zq? 7/26 Three letters picked without replacement from {y: 7, l: 3, r: 3}. What is prob of sequence lyr? 21/572 Three letters picked without replacement from {u: 1, t: 2, o: 5, x: 1, f: 3}. Give prob of sequence xux. 0 Two letters picked without replacement from vvvv. What is prob of sequence vv? 1 Two letters picked without replacement from {d: 1, k: 1, t: 1}. What is prob of sequence td? 1/6 Four letters picked without replacement from fqhhhggqghghfqh. Give prob of sequence gghh. 1/91 Three letters picked without replacement from {e: 2, v: 2, x: 2, r: 2}. Give prob of sequence rxr. 1/84 What is prob of sequence gkg when three letters picked without replacement from {k: 4, g: 10}? 15/91 Two let
{ "pile_set_name": "DM Mathematics" }
h to one decimal place. -0.7 Let h = -47.43646 + 47.53. Let s = h - 0.53684. What is s rounded to one dp? -0.4 Let u = 13.6 + 1.9. Let n = -15.499642 + u. What is n rounded to four dps? 0.0004 Let w = -71 + -23. Let o = w - -45. Let n = -49.000035 - o. What is n rounded to 5 decimal places? -0.00004 Let s = -0.36 + -0.04. Let g = -1.89650584 - -1.4965058. Let o = g - s. What is o rounded to seven decimal places? 0 Let j = 96645 - 96644.999893841. Round j to five dps. 0.00011 Let o = 1063.850792 + -1033.2503. Let k = 2.78 - 33.38. Let t = o + k. What is t rounded to four decimal places? 0.0005 Let n = -138.9 - -127. Let f = n - -11.900000314. Round f to seven dps. 0.0000003 Let l = 3738 + -1564. Suppose -12*q + 1774 = -l. Round q to the nearest one hundred. 300 Let n = 439352666 + -650062666. What is n rounded to the nearest one million? -211000000 Let f = 306 + 834. Suppose -f + 260 = -2*d. Round d to the nearest 100. 400 Let s = 122.812 + -116. Let o = s - 7. Round o to 2 decimal places. -0.19 Let h = -52.61 + 53. Let f = -601.391 - -601. Let p = f + h. What is p rounded to three dps? -0.001 Let v = -47.0508611 - -59.75085545. Let k = v - 12.7. Round k to six decimal places. -0.000006 Let d = -0.27 - -0.586. Let p = 0.32463 - d. What is p rounded to four dps? 0.0086 Let r = 13876.8 + -13815. Round r to the nearest ten. 60 Let i = 886.21 + -18.21. Let c = i - 868.000689. What is c rounded to 4 decimal places? -0.0007 Let w = -0.24112 - -3.538. Let n = w + -3.3. What is n rounded to 3 decimal places? -0.003 Let z = -379863 + 379906.0079. Let q = -62 + 19. Let g = z + q. What is g rounded to 3 dps? 0.008 Let n = 3499.327 + -3498. What is n rounded to 0 decimal places? 1 Let j = 18268819 - 18268820.78000142. Let f = 0.0382 - -1.7418. Let r = j + f. Round r to 7 dps. -0.0000014 Let v = 38616588 - 38616588.22000933. Let b = v + 0.22. What is b rounded to 7 dps? -0.0000093 Suppose 10*a = 2*a. Let r be (4/16*a)/1. Suppose 5*j + 20760 = 5*z, -2*j + j - 2*z - 4146 = r. Round j to the nearest 1000. -4000 Let b = 30524 + -18666. Suppose 0 = 9*r - b + 1958. What is r rounded to the nearest 1000? 1000 Let i(u) = -36816*u**2 - 23*u + 145. Let f be i(7). What is f rounded to the nearest 100000? -1800000 Let q = -20539.693 - -20549. What is q rounded to 1 dp? 9.3 Let k = -3.048 - -0.488. Let v = -5.22 - k. Round v to zero dps. -3 Let f = -1888.549 + 2030.5413. Let x = f - 142. Round x to three decimal places. -0.008 Let h be (-28)/84 - (4/6)/(-2). Suppose 56831 = 3*s + j, -s + 0*j - 2*j + 18952 = h. Suppose -5158 = -5*b + s. Round b to the nearest 100. 4800 Let x(i) = 2*i**2 - 5*i + 3. Let c be x(4). Suppose 0 = 10*s - c*s - 105. Let l(w) = -906*w - 26. Let u be l(s). What is u rounded to the nearest 10000? 20000 Let b = 14157.9956404 + -14158. Round b to three dps. -0.004 Let t = 73.86 - 75. Let d = t + 1.46. Round d to two decimal places. 0.32 Let k be 722918586/(-14) - (-21)/(-147). Let v = k - -29737042. What is v rounded to the nearest one million? -22000000 Let s = -86546.214 + 86651. What is s rounded to the nearest integer? 105 Let d = -5.6025 + 4.102. Let o = d + -70.3895. What is o rounded to the nearest integer? -72 Suppose -29*u + 22*u = -1120. Let a be 1/(-10) - 4479984/u. What is a rounded to the nearest 10000? -30000 Suppose 107*t + q + 1910 = 102*t, -2*t - 4*q = 782. What is t rounded to the nearest one hundred? -400 Suppose -6*l - 3 = -21. Suppose -2 = -k + l*k + 2*v, -4*k + 2*v + 2 = 0. Suppose 6*a = -k*a + 594000. What is a rounded to the nearest 10000? 100000 Suppose -554*b + 558*b + 686480010 = 2*r, -5*b + 4*r - 858100020 = 0. Round b to the nearest 1000000. -172000000 Let y = -17521 + 11468. Let r = y - -6053.006469. What is r rounded to 4 dps? 0.0065 Let i(a) = a**3 - 8*a**2 + 16*a + 5. Let k be 0/(-4) - (1 + -8). Let s be i(k). Suppose 5*d + 134 = -2*b, 5*b - s = 2*d + d. Round d to 0 dps. -26 Let h = -6 - -5.33. Let l = h - -5.67. Let t = l + -4.99999893. Round t to 7 decimal places. 0.0000011 Let j = -13 - -15. Suppose j*x - 2*u - 4948517 + 1108519 = 0, -3839995 = -2*x + 5*u. Round x to the nearest one million. 2000000 Let i = -3.53 - 360.47. Let f = 363.99999018 + i. Round f to 6 dps. -0.00001 Let h(b) = -3142*b + 15. Let k be h(4). Let c = k + 20133. What is c rounded to the nearest one thousand? 8000 Let a = -514908 + -168207. Let d = 683165.9981 + a. Let m = 51 - d. Round m to three dps. 0.002 Let x = -83564 - -157055. Let p = x - 73491.00249733. Let f = p - -0.0025. What is f rounded to 7 dps? 0.0000027 Let h be 2*1 - (-13)/52*20. Let v(g) = -76*g - 328. Let z be v(h). Round z to the nearest one hundred. -900 Let h(g) = -g**2 - 15*g + 16. Let l(u) = 22*u + 6. Let a be l(-1). Let v be h(a). Suppose 2*c + 2120 - 310120 = v. Round c to the nearest 10000. 150000 Let b = 3 + 1. Suppose -3*i = 3*r - 6, -2*i = -b*r + 2*r - 16. Let m be -4 + (-11)/r - (-741001)/3. What is m rounded to the nearest 10000? 250000 Let s = -2.1 + 62.1. Let b = 2217049.6 - 2216989.600124. Let f = s - b. What is f rounded to five dps? 0.00012 Let b = 2.048 + -5.49. Round b to 1 dp. -3.4 Let g = 16827407.00762 + -16828343. Let r = -8996 - -9932. Let y = g + r. What is y rounded to 3 dps? 0.008 Let c = 0.5537 - 0.477. Let b = c - 0.076700327. Round b to seven decimal places. -0.0000003 Let t = 31415 - 21392. What is t rounded to the nearest one thousand? 10000 Let g = -56896 + 38956. Round g to the nearest one thousand. -18000 Let l = -62.728 - -69.5. What is l rounded to the nearest integer? 7 Let l be (-93280)/360 + 1/9. Let v = l - -263. What is v rounded to the nearest ten? 0 Let m = 24.203 + -15.86. What is m rounded to zero dps? 8 Let r = -202.95 + 0.95. Let d = r - -201.999999963. What is d rounded to 7 decimal places? 0 Let b = 5886328989233.427190129 + -5886963725531.10719. Let x = b + 634736297. Let g = x + 0.68. What is g rounded to seven decimal places? 0.0000001 Let m = 516 + -119. Let l = 36635573432 + -36635573034.99999827. Let q = l - m. What is q rounded to seven dps? 0.0000017 Let y = -3.8 - -37.8. Let s = y + -37. Let q = s + 2.86. What is q rounded to one decimal place? -0.1 Let a = 20521 - 20521.0000111912. Round a to six dps. -0.000011 Let r = 32016 + -32016.004736. Round r to three decimal places. -0.005 Let z = -196.96 + 194. Let h = z - -2.9600708. What is h rounded to 5 decimal places? 0.00007 Let u = -0.049694784 - -79141084.049694784. Let c = u - 79141466.99649. Let v = 383 + c. What is v rounded to 3 dps? 0.004 Let p = -270521.9662 - -270715. Let d = 193 - p. What is d rounded to 3 dps? -0.034 Let q = 26081.004972 + -26081. Round q to 4 decimal places. 0.005 Let y = -0.1825 - -0.26153. What is y rounded to two dps? 0.08 Let g = 139.9961 + 0.0039. Let h = 114220867.000063 + -114220727. Let t = h - g. What is t rounded to five decimal places? 0.00006 Let k = -29813.980676 + 29814. Round k to 4 decimal places. 0.0193 Let t = 0.112 - -66.888. Let i = 107 - t. Let v = -40.336 + i. Round v to two decimal places. -0.34 Let o be (-51104)/12*(4 - (-670)/20). Round o to the nearest 10000. -160000 Let t = -2.561 - -2.561000558. What is t rounded to seven decimal places? 0.0000006 Suppose 92 = -9*r + 13*r. Suppose b + r - 26 = 0. Suppose -3*w + b*f = w + 471, -4*f + 238 = -2*w. What is w rounded to the nearest ten? -120 Suppose 4*x - p = 15, x - 2*p - 6 = -4*p. Suppose 3*v - 3047520 = -x*v. Let a = v + -249360. Round a to the nearest ten thousand. 190000 Let n = 155 - 560. Let g = n + 406.74. What is g rounded to the nearest integer? 2 Let y = 0.067 + -10.567. Let p = y + 2.84. Round p to the nearest integer. -8 Let q = -851 + 929.808. Let h = -1.73 + 80.73. Let o = h - q. What is o rounded to two dps? 0.19 Let y = -99284 - 80435. Let v = y + 179720.73842. Let x = v + -1.74. Round x to 4 dps. -0.0016 Let k = -974.4 - -974.5062. What is k rounded to three decimal places? 0.106 Suppose -2*g + 0*g = 4*l - 386, -5*l + 502 = -4*g. Suppose 2*i + 90 = l. Suppose -4 = i*k - 3*q + 7*q, -4*q = 5*k + 7. Round k to the nearest ten. 0 Let b = -693 - -19. Let v = b + 673.8645. What is v rounded to two dps? -0.14 Let h = 63.21748238 - 14.51747743. Let d = 48.7 - h. Round d to six dps. -0.000005 Let a = -33.82 - -32. Let g = 1.7 + a. Let m = g + -0.11. Wh
{ "pile_set_name": "DM Mathematics" }
(g/(-9) + 3)? 5 Let s = 0 + -8. Let m(n) = n**3 + 9*n**2 + 8*n + 11. What is the tens digit of m(s)? 1 Let i = 2 + 2. Suppose 0 = 5*s - i*s - 27. Let m = 38 - s. What is the units digit of m? 1 Suppose 4*x = x + 12. Suppose -3*p + 30 = -5*w, 0 = -x*w - 3 + 15. What is the units digit of p? 5 What is the units digit of 7/(-1)*2/(-2)? 7 Suppose 0*p = p + 3. Let m be 3*p/6*10. Let u = m - -21. What is the units digit of u? 6 Let g(w) = -4*w**3 - w**2 + 1. Let l be g(1). What is the units digit of 2/l + (-45)/(-6)? 7 Let k be (1 + -2)/((-5)/(-10)). Let w be k/(1 - 0) - -155. What is the tens digit of (-8)/2*w/(-36)? 1 Suppose -3*i = 2*r + r - 195, -3*i + 160 = -4*r. What is the units digit of i? 0 Let a = 817 - 579. What is the hundreds digit of a? 2 Suppose n = -4*n. Suppose -1 = 3*c + 2*p - 11, n = -c + p. Suppose 0 = -d + c*d - 2. What is the units digit of d? 2 Let r(b) be the third derivative of 0 + 1/4*b**4 + 2*b**2 + 0*b - 1/2*b**3 - 1/60*b**5. What is the units digit of r(4)? 5 Let o = 4 + 1. What is the units digit of o? 5 Let x(u) = u - 1. Let q(n) = 0*n + 6*n - 1 - n + 0*n. Let l be q(1). What is the units digit of x(l)? 3 Let y be 3/(-3 + 6)*7. What is the units digit of (y/(-3))/((-3)/9)? 7 Let y be (-27)/2*(-38 + 2). Suppose 0*u + 90 = 3*u. What is the units digit of (-2)/10 + y/u? 6 Let x = 16 + -13. What is the units digit of x? 3 Let b(p) = -p**2 - p + 14. What is the tens digit of b(0)? 1 Suppose 2*k - 14 = -3*y + 3*k, -5*y + 5*k + 20 = 0. Suppose y*m - 20 = 4*m. What is the tens digit of m? 2 Let c = 10 + 5. Let i = 6 + c. What is the units digit of (i/9)/((-1)/(-3))? 7 Suppose -3*n - 4*f = -96, -5*n - 3*f + 228 = 68. What is the units digit of n? 2 Let l(j) = -j - 2. Let z be l(-2). Suppose -x - 2*t + 6 = z, -3*t - 16 = -7*t. What is the units digit of x/(-6)*(3 + 15)? 6 Suppose 6 = 3*b - 30. Let y be ((-1)/1)/(0 - -1). What is the units digit of b*(3/2 + y)? 6 Let b = -29 - -59. What is the tens digit of b? 3 Suppose -5*y + 95 = -n - 59, -4*n = y - 14. What is the tens digit of (y/(-9))/((-3)/9)? 1 Let d(o) = 3*o. Let t be d(1). Suppose -5*s + 4*g = -107, 5*s - 2*g = t*s + 44. What is the units digit of s? 9 Let i(t) = t + 5. What is the units digit of i(0)? 5 Suppose 5*o - 227 = -n, -3*o + 20 + 133 = -5*n. Let r = -28 + o. Suppose j - r = -j. What is the units digit of j? 9 Let r(z) = -z + 11. Let p(q) = 9*q**2 - q. Let b be p(1). What is the units digit of r(b)? 3 Let f = -133 - -256. What is the hundreds digit of f? 1 Let h = -8 + 9. Let v = h + -1. Suppose -2*b + y + 5 + 9 = 0, 5*y + 10 = v. What is the units digit of b? 6 Let a be ((-48)/(-15) - 2)*5. Suppose 4*g = a + 6. Suppose -4*h - 6 = -r, -2*h = -r - h + g. What is the units digit of r? 2 Suppose -3*d + 62 = -2*b - 0*b, -d - 5*b = -15. What is the units digit of d? 0 Suppose r + 1 = 4. Suppose 5*y - 2*y = -2*w - 8, 18 = r*w - 3*y. What is the units digit of w? 2 Let o = 7 - -7. Let q = o + -5. What is the units digit of -1 + 2/(6/q)? 2 Let u(m) = m - 4. Let z = 3 + 10. Suppose 0 = -3*v + 3, z = s - v + 5. What is the units digit of u(s)? 5 Let a be 0/(-2 - 1) + 2. Suppose -3*t = -a*w - 8 - 0, 2*w + 4 = t. Let j = 2 + w. What is the units digit of j? 1 Let x = 8 + -2. Let g be (3 - 0) + (-54)/x. Let q = 5 - g. What is the units digit of q? 1 Let o(r) = -5*r - 7. Let w be o(-8). Suppose 15 = 4*h + 4*g - w, -34 = -3*h - g. What is the tens digit of h? 1 Suppose 5 = 12*g - 7*g. Let j(h) = -3*h + 10*h - 1 + 0. What is the units digit of j(g)? 6 Let h(i) = -4*i + 4. What is the units digit of h(-12)? 2 Let w(b) = -5*b - b**3 + 0 + 0 - 6*b**2 + 4. Let a be w(-5). Suppose -39 = -a*u + 5. What is the units digit of u? 1 Suppose 5*u + 0*u = 100. Suppose -4*l = -4*n + u, -2*n - 10 - 5 = 3*l. Suppose 5*p = 5*f + 2*p - 49, 3*f + 5*p - 43 = n. What is the units digit of f? 1 Let m = 3 + -3. Let g(c) = 3*c**2 - c + 8. Let b(f) = 2*f**2 - f + 8. Let h(n) = 4*b(n) - 3*g(n). What is the units digit of h(m)? 8 Let h be (-2 + -2)/(-1 - -2). Suppose -2*r - 2*d + 18 = 0, 0 = -3*r - 2*r + 2*d + 73. Let l = r + h. What is the units digit of l? 9 Suppose 2*a + 2*j + 84 = 6*a, -3*a + j + 62 = 0. What is the tens digit of a? 2 Let d(n) = n**3 - 7*n**2 + n - 2. Let x be d(7). Suppose -b + x = -3. What is the units digit of b? 8 Let b(i) = i**2 + i + 1. Let l be b(-2). Suppose 0 = 4*m - 6 - 2. Suppose l*a - 9 = m*a. What is the units digit of a? 9 Suppose 2*g - 7*g - 30 = 0. Let v(z) = z - 2*z - z - 7. What is the units digit of v(g)? 5 Let h(m) = m**3 + 8*m**2 + 5*m + 8. What is the units digit of h(-6)? 0 Let s = -442 + 670. What is the tens digit of s? 2 Let k be 2/(-11) + 48/22. Suppose y = -k*f + 74, 0 = 4*f + 2*y + y - 152. What is the tens digit of f? 3 Suppose 0*x - 254 = -2*b + 4*x, 3*b + 4*x = 341. What is the units digit of b? 9 Let h(v) = -12*v + 4. Let y(b) = b - 1. Let z(w) = h(w) + 8*y(w). Let j be z(-7). What is the units digit of 2/(3*2/j)? 8 Suppose -b + 0*b = -29. What is the tens digit of b? 2 Let c be (9/(-5))/((-1)/5). Let w(o) = o - 9. Let x be w(c). Suppose -n + 2*n - 2 = x. What is the units digit of n? 2 What is the hundreds digit of (-2)/(-6) + (-359)/(-3)? 1 Suppose -4*f = -f. Suppose f = 5*b - 2*b - 6. Suppose -3*n + b*n + 5*p - 11 = 0, -1 = -n + 2*p. What is the units digit of n? 9 Suppose f - 2*f = 0. Let i(z) = 1 - 4*z + z**3 - 2*z**2 - z**2 + f. What is the units digit of i(4)? 1 Suppose 2*u + 9 = 111. What is the tens digit of u? 5 Suppose 4*h = 288 - 16. What is the tens digit of h? 6 What is the hundreds digit of -325*((-1)/3 - (-7)/(-105))? 1 Let t = -7 + 8. Let g(d) = 24*d + 1. What is the units digit of g(t)? 5 Let h(c) = 16*c**2 + c. Suppose 0 = 4*l - 5*l + 1. What is the units digit of h(l)? 7 Let x(f) = 4*f**2 + f. Let y be x(-1). Suppose 4*n - 51 + y = 0. What is the tens digit of n? 1 Let t be 189/4 + 4/(-16). Suppose 22 = 3*i - t. Let r = i - 15. What is the units digit of r? 8 Suppose -d + 5*o + 2 = 3*d, -5*o = 2*d - 16. Suppose -2*v - 6 + 0 = 0, d*z - 5*v - 30 = 0. Let b = z + 4. What is the units digit of b? 9 Suppose 51 = k - z + 2*z, 0 = k - 4*z - 51. What is the tens digit of k? 5 Suppose 0 = 4*h + 5*c + 3, 10 + 5 = 3*h - 2*c. Suppose -h*j + 3*u - 27 = 0, -3*j - 19 = -7*u + 2*u. What is the tens digit of (3 - j) + -3 - -2? 1 Suppose -2*x = 5*f - 286, 2*x - 35 + 141 = 2*f. What is the units digit of f? 6 Let i be 96/9 - (-4)/(-6). Let y be 1*(0 + 9)/3. Let n = i - y. What is the units digit of n? 7 Suppose 4*x = -4*y - 0*y + 20, 4*x - 34 = 3*y. Let b = -5 + x. What is the units digit of b? 2 Let k = 388 - 198. What is the tens digit of k? 9 Let g(o) = -3*o - 4. Let k be g(-3). Let h(d) = -d + 7. Let z be h(5). What is the units digit of (z - k)/((-6)/10)? 5 Let v be (19 + 5)/(1/7). Suppose 0*d + 4*d - v = 4*r, -2*r = 6. What is the units digit of d? 9 Let w(z) = -z**3 - 5*z**2 - 3*z - 2. Let s be w(-5). Let k be s/3 + 8/12. Suppose k*v - x = 10, -x = -3*x. What is the units digit of v? 2 Suppose -2*d - 5*l = -0*d - 22, d - 12 = -2*l. Suppose -5*r = 5*p - 30, 0*p - d = -p - 3*r. What is the units digit of p? 1 Let h = -65 + 109. What is the units digit of h? 4 Suppose -4*a - 1348 + 126 = -3*r, 5*r - 2085 = -3*a. What is the hundreds digit of r? 4 Let j = 4 - 2. Suppose b - j*b = -3. Suppose 4*u = b*a - 2*a + 46, 3*u - 29 = -2*a. What is the tens digit of u? 1 Let f = -91 + 127. Suppose v + v + f = 0. Let y = -5 - v. What is the units digit of y? 3 Suppose -10*h = -5*h - 150. What is the tens digit of h? 3 Let a(i) be the third derivative of i**5/10 - 2*i**2. What is the units digit of a(1)? 6 Let t(z) = -11*z**3 - 13*z**2 - 26*z + 13. Let f(s) = -7*s**3 - 9*s**2 - 17*s + 9. Let x(q) = 8*f(q) - 5*t(q). What is the units digit of x(-6)? 7 Suppose -3*x + 15 = -21. Suppose -m = -3*h + 9, m + x = 5*m. Suppose -3*b - j = b - 21, -5*j = -h*b - 9. What is the units digit of b? 4 Let z(c) = -6*c**2 - 1 + 10*c**2 - 3*c + 2*c. Let t be z(-1). Suppose 0 = -0*j - 2*j + 8, -4*p + 32 = t*j. What is the units digit of p? 4 Suppose 0 = -4*x - 12, 3*j + 11 = -2*j + 3*x. Let q = 10 + j. What is the units digit of q? 6 Suppose -6*y + 3*y + 18 = 0. Suppose -14 = -a - 5*f + y*f, -4*f = a - 34. What is the units digit of a? 8 Let y = -182 - -353. What is the hundr
{ "pile_set_name": "DM Mathematics" }
21, 78, 235, 540, 1041, 1786, 2823, 4200? 5965 What is next in -432, -429, -424, -417, -408, -397, -384? -369 What is the next term in 29, 52, 75, 98, 121, 144? 167 What is next in -60, -125, -182, -225, -248? -245 What is next in -9, -38, -97, -192, -329, -514? -753 What comes next: -6, -23, -40, -57, -74, -91? -108 What comes next: -419, -837, -1255, -1673, -2091? -2509 What is the next term in -43, -83, -123, -163? -203 What comes next: 144, 145, 146, 147? 148 What comes next: -24, -45, -68, -93, -120, -149? -180 What comes next: 122, 237, 340, 425, 486? 517 What comes next: -46, -66, -112, -196, -330? -526 What comes next: -56, -221, -496, -881, -1376, -1981, -2696? -3521 What is next in -178, -324, -470, -616, -762, -908? -1054 What is next in 2140, 2141, 2152, 2179, 2228, 2305? 2416 What is next in 425, 423, 421, 419, 417, 415? 413 What comes next: 25, 48, 73, 100, 129? 160 What is next in 68, 131, 194, 257? 320 What is the next term in 9, 22, 49, 96, 169, 274, 417? 604 What is the next term in 65, 55, 23, -43, -155, -325? -565 What comes next: -1172, -1171, -1170, -1169? -1168 What is next in -26, -45, -64, -83, -102, -121? -140 What is the next term in 439, 440, 441, 442, 443, 444? 445 What comes next: -199, -190, -181, -172, -163, -154? -145 What is the next term in -393, -784, -1175, -1566? -1957 What is next in 621, 1251, 1881, 2511, 3141, 3771? 4401 What comes next: -3992, -3995, -3998, -4001? -4004 What comes next: -113, -112, -111, -110, -109, -108? -107 What is next in 10, 75, 248, 583, 1134, 1955, 3100? 4623 What is next in 1420, 2833, 4234, 5617, 6976? 8305 What is next in -22, -25, -24, -13, 14, 63, 140? 251 What comes next: 251, 248, 243, 236, 227? 216 What is next in -326, -298, -274, -254, -238, -226, -218? -214 What is next in 3580, 3582, 3586, 3592, 3600, 3610, 3622? 3636 What is the next term in -1150, -1129, -1096, -1051? -994 What is the next term in -65, -61, -41, 1, 71, 175, 319, 509? 751 What is the next term in -3292, -3291, -3290? -3289 What is the next term in -55, -77, -99, -121? -143 What comes next: 4, 10, 18, 28? 40 What comes next: 590, 1180, 1770, 2360, 2950? 3540 What is the next term in -281, -564, -843, -1118, -1389, -1656? -1919 What is next in 48, 182, 406, 720, 1124, 1618? 2202 What comes next: 40, 39, 38, 37? 36 What is next in 29, 16, 3? -10 What is the next term in -565, -1116, -1655, -2176, -2673, -3140, -3571? -3960 What comes next: 210, 420, 630, 840, 1050, 1260? 1470 What is next in 12, 172, 582, 1368, 2656, 4572, 7242? 10792 What comes next: 0, 5, 26, 69, 140? 245 What comes next: 232, 233, 234, 235, 236, 237? 238 What comes next: 1273, 2547, 3821? 5095 What is the next term in -289, -582, -879, -1180, -1485, -1794? -2107 What comes next: 1685, 1684, 1683, 1682? 1681 What comes next: 122, 119, 116? 113 What comes next: 326, 654, 980, 1304, 1626? 1946 What is the next term in -21, -29, -47, -81, -137, -221, -339, -497? -701 What comes next: -6, -33, -98, -219, -414? -701 What is next in -2, 43, 98, 169, 262, 383? 538 What is the next term in 12, 41, 96, 183, 308? 477 What is next in -56, -113, -168, -221, -272? -321 What is the next term in 16, 8, 0, -8, -16, -24? -32 What is the next term in -75, -153, -229, -303, -375? -445 What comes next: -5, -23, -29, -17, 19, 85? 187 What is the next term in -157, -166, -181, -202, -229, -262, -301? -346 What is the next term in 95, 104, 115, 128, 143? 160 What comes next: 2644, 5287, 7930, 10573, 13216, 15859? 18502 What is next in -367, -342, -309, -268, -219, -162? -97 What comes next: 1069, 1067, 1063, 1057, 1049, 1039? 1027 What comes next: -16, -87, -250, -547, -1020, -1711? -2662 What is next in 77, 76, 75, 74, 73, 72? 71 What comes next: -88, -179, -272, -367? -464 What is the next term in -437, -450, -451, -434, -393, -322? -215 What comes next: 31, -47, -257, -665, -1337, -2339, -3737? -5597 What comes next: -227, -555, -883, -1211, -1539, -1867? -2195 What comes next: 203, 430, 687, 986, 1339? 1758 What is next in -42, -66, -62, -24, 54, 178, 354, 588? 886 What comes next: -6, 10, 28, 48, 70, 94, 120? 148 What is the next term in -39, -79, -125, -177? -235 What comes next: 436, 1760, 3968, 7060? 11036 What comes next: -20705, -20704, -20703, -20702? -20701 What is next in 176, 352, 528, 704, 880, 1056? 1232 What is the next term in 2468, 2474, 2482, 2492, 2504, 2518, 2534? 2552 What is next in -32, -52, -80, -116? -160 What is next in 52, 104, 156, 208? 260 What comes next: 474, 948, 1422, 1896? 2370 What is next in -15, -35, -69, -117? -179 What is the next term in 4925, 9851, 14777? 19703 What is the next term in -1523, -3046, -4569, -6092, -7615? -9138 What comes next: -2066, -2067, -2068, -2069? -2070 What is the next term in -94, -74, -40, 14, 94, 206, 356, 550? 794 What is the next term in -23, -54, -89, -128, -171? -218 What is next in 24, 31, 38, 45? 52 What comes next: 486, 484, 482, 480, 478, 476? 474 What is the next term in -141, -139, -147, -171, -217? -291 What is next in -79, -158, -241, -328, -419, -514? -613 What comes next: 151, 308, 469, 634? 803 What is next in -31, -44, -67, -100, -143, -196? -259 What comes next: 13, 18, 23, 28, 33? 38 What is the next term in -28, -205, -674, -1579, -3064, -5273? -8350 What is the next term in 53, 107, 163, 221, 281, 343, 407? 473 What is next in -53, -62, -85, -128, -197, -298? -437 What comes next: 16, 27, 62, 133, 252, 431, 682? 1017 What comes next: -32797, -32796, -32795? -32794 What is the next term in 1928, 1925, 1922, 1919? 1916 What is the next term in 0, 12, 22, 30, 36, 40? 42 What is the next term in 60, 105, 180, 285? 420 What comes next: -7, -7, -9, -13? -19 What is next in 16, -39, -106, -191, -300? -439 What is the next term in -12, -39, -68, -99? -132 What comes next: 13, 32, 51? 70 What comes next: 1344, 2688, 4032, 5376, 6720, 8064? 9408 What comes next: -664, -675, -688, -703, -720, -739? -760 What is next in -137, -117, -81, -23, 63? 183 What comes next: -19, -39, -73, -121, -183? -259 What is next in 16, 16, 30, 64, 124, 216, 346? 520 What comes next: -5, -23, -59, -119, -209, -335, -503, -719? -989 What is the next term in -23, -74, -159, -278, -431? -618 What comes next: 34, 238, 578, 1054, 1666, 2414, 3298? 4318 What is next in -167, -166, -165? -164 What comes next: 137, 126, 115? 104 What is next in 34, 35, 36? 37 What is the next term in -96, -193, -282, -357, -412, -441, -438? -397 What is the next term in 501, 1001, 1511, 2037, 2585, 3161? 3771 What is the next term in -31, -15, 13, 53, 105, 169? 245 What is the next term in 3, 10, 29, 60, 103? 158 What is next in 0, -8, -36, -96, -200? -360 What comes next: -30, -27, -24, -21? -18 What is next in 194, 196, 198, 200? 202 What is next in -127, -236, -335, -424? -503 What is the next term in 4556, 9112, 13668, 18224? 22780 What is the next term in 216, 434, 650, 864? 1076 What is the next term in 165, 631, 1407, 2493, 3889, 5595? 7611 What comes next: 13, 14, 15, 16? 17 What is the next term in 60, 13, -60, -153, -260, -375? -492 What is the next term in 659, 655, 639, 605, 547? 459 What is next in -81, -150, -217, -282? -345 What is the next term in -1070, -1088, -1106, -1124, -1142, -1160? -1178 What comes next: 3399, 6795, 10191, 13587, 16983? 20379 What is next in -3, -24, -51, -78, -99, -108, -99? -66 What is next in -15, -42, -83, -144, -231? -350 What is next in 34, 98, 178, 274? 386 What comes next: -37, -124, -223, -340, -481? -652 What is the next term in 56, 116, 174, 230, 284, 336, 386? 434 What is next in -48, -77, -84, -69? -32 What is next in -742, -744, -746? -748 What is the next term in 8, 23, 40, 59, 80? 103 What is next in -902, -913, -924, -935, -946? -957 What is the next term in -1241, -1247, -1255, -1265, -1277? -1291 What is the next term in -52, -55, -42, -1, 80? 213 What is next in 2, -15, -34, -55, -78, -103? -130 What comes next: 24, 45, 66, 87, 108? 129 What is next in -23, -20, -5, 28, 85? 172 What is next in 19, 74, 225, 520, 1007, 1734, 2749, 4100? 5835 What is the next term in -4146, -4145, -4142, -4137? -4130 What is the next term in -51, -116, -299, -660, -1259, -2156, -3411? -5084 What is next in 337, 701, 1091, 1513, 1973, 2477, 3031? 3641 What is next in 22, 34, 46? 5
{ "pile_set_name": "DM Mathematics" }
1*b**4 + 1 + 2*b + 51*b**4 + b**2 - 136*b**4 to the form y*b**2 + q*b + u*b**4 + h + t*b**3 and give u. -222 Rearrange 6*u**2 + 787*u**4 - 3180*u**4 - 7*u**2 + u**2 + (2*u - 5*u + 2*u)*(u**3 + 0*u**3 + 4*u**3) to j*u**2 + r*u**3 + x + i*u + m*u**4 and give m. -2398 Express 387 + 40*s**2 + 364 - 776 + 101*s**2 in the form j + m*s + z*s**2 and give j. -25 Rearrange (-r - 2*r + 2*r)*(12 - 2 + 0) + ((1 + 5 - 4)*(2 + 0 - 4) + 1 - 3 + 0 - 1 - 2 + 5 + 17 - 7 + 13)*(-r - 1 + 2*r - 2) to n + j*r and give j. 9 Express 6*o**4 + 13394 - 4*o**4 + 13387 - 40175 + 13391 + 1659*o**2 as c*o + u*o**3 + f*o**2 + h*o**4 + v and give v. -3 Rearrange (0*n**2 + 2*n**2 + 0*n**2)*(-n + 2*n**2 + n) + 2 - 3*n**4 - 2 - 4 + 1052944*n**4 + 6 - 1053541*n**4 to f*n**3 + u*n**2 + z*n**4 + b + d*n and give z. -596 Express 6*h - 12669*h**2 + 13*h + 12833*h**2 as n*h + u*h**2 + l and give u. 164 Rearrange 2710561 - 2710561 + 9088*y to a + x*y and give x. 9088 Express 3*j**3 - 898*j + 899*j + 2*j**2 - 6*j**3 in the form h*j**3 + w + u*j**2 + i*j and give i. 1 Rearrange (-o - o + 0*o)*(0 - 3 + 5) + 462*o - 1842*o - 198*o to i + v*o and give v. -1582 Express -1226 + 12*f - 4*f**2 + 616 + 620 as z*f + m + d*f**2 and give d. -4 Express -810 - 161*x + 235 - 162*x - 165*x + 482*x as y + n*x and give n. -6 Express (-x**2 - x**2 - x**2)*(1 - 1 - 3) + 1605*x**2 + 68*x + 245 - 244 - 1602*x**2 in the form y*x**2 + g + h*x and give y. 12 Rearrange 137*u**2 + u + 167 - 332 + 167 - 39*u**2 - 4*u**3 to the form b*u**3 + v*u + h + y*u**2 and give v. 1 Express -2*y + 3*y**3 - 2*y**3 + 38*y**4 - 3*y**3 + 6*y**2 + 15*y**2 - 19*y**2 in the form t*y + z*y**4 + p*y**3 + n*y**2 + v and give z. 38 Express -304617*i**3 + 152309*i**3 + 22063*i**2 + 152307*i**3 in the form j*i**2 + y*i + a + r*i**3 and give j. 22063 Rearrange (3*r**2 + 46*r**2 + 28*r**2)*(-3 + 2 + 0) - 3*r**2 - 3*r**2 + 0*r**2 to a*r**2 + l*r + o and give a. -83 Rearrange 11 + 14 + m**3 - 43 + 369*m**2 + 20 to a*m**2 + z*m**3 + l*m + k and give l. 0 Rearrange -144*c**2 - 1067*c**3 + 3956*c**3 + 144*c**2 - 899*c + 900*c - 2 to f*c**3 + y + p*c**2 + i*c and give f. 2889 Express -3*c + 34*c**2 - 4*c**4 - 12*c**2 - 39 - 23*c**2 in the form i + b*c**4 + m*c**2 + h*c**3 + g*c and give i. -39 Express 2810 - 1810*y - 1862*y + 3676*y as u + j*y and give u. 2810 Rearrange -4*c**3 - 11*c**3 + 360 - 3*c**4 + 362 + c**2 - 39*c**3 - 725 to g*c**4 + j*c**2 + n*c + i + s*c**3 and give g. -3 Express -41*s + 18376 + 39*s - 18326 + 23*s**2 as q*s + h*s**2 + z and give z. 50 Rearrange (4 - 2 + 1)*(-3 - 8 + 1)*(42*g**3 - 83*g**3 - 89*g + 40*g**3) to the form z*g**3 + l*g + h*g**2 + n and give l. 2670 Rearrange o - 16*o**2 + 16*o**2 - 6416*o**3 + 2123*o**3 + 0*o**2 to the form x*o + d + j*o**2 + c*o**3 and give x. 1 Express -b - 208 - b - 211 - 16*b**3 - 205 + 637 in the form v*b**2 + l + t*b + s*b**3 and give l. 13 Express 5 - 963*c - 883*c + 2134*c as m + z*c and give m. 5 Express (-66 + 28 + 30 + (3 - 5 + 3)*(0 + 1 - 3))*(-1 - 3 + 7)*(v + 0*v - 3*v)*(5*v**2 + 2*v**2 - 2*v**2) as z*v + i*v**2 + p + u*v**3 and give u. 300 Express -4*m**3 + 2*m - 2*m - 2*m**3 + 3*m - 3*m + (2*m - 2*m + 8*m)*(37*m**2 - 40*m + 40*m) as o*m**3 + r*m**2 + y*m + s and give o. 290 Express -22*h**2 + 1 + 4*h**3 + 7*h**4 + 6*h**4 - 12*h**4 - 4*h**3 + h in the form l*h + p*h**4 + g*h**3 + v*h**2 + j and give l. 1 Rearrange 7*a**4 - a + 2*a + 3*a**4 + (-14*a**2 + 214*a**3 + 14*a**2)*(-3*a - 3*a + 4*a) to z*a**3 + h*a**2 + l + x*a + c*a**4 and give c. -418 Express (-31 + 5 + 16 - 2*l)*(-4*l + 2*l + 4*l) - 33 + 22*l**2 + 33 in the form f + x*l + r*l**2 and give x. -20 Rearrange -12*p**4 - p + 55429*p**3 + 11*p**4 - 113*p**2 - 55428*p**3 to i + q*p**3 + u*p**4 + o*p + r*p**2 and give u. -1 Rearrange -20*p - 84 + 106 + 65 + 137 to k*p + w and give k. -20 Rearrange (-22*x + 2*x**3 + 20*x + 4*x**3)*(5 - 3 + 4846*x - 1585*x) to d + k*x**3 + o*x**4 + n*x + i*x**2 and give i. -6522 Express -67 - a + 2*a + 66 + (4 - 4 - 1)*(0 + 0 - 2*a) - 426 + 846 + 85*a - 422 in the form l + u*a and give l. -3 Express -16347*q - 9752*q + 18287*q in the form y + c*q and give c. -7812 Rearrange 6210633*a + 11*a**3 - a**4 - a**4 - 6210842*a to the form p + b*a**3 + m*a**2 + g*a**4 + k*a and give g. -2 Express -3 + 7*p**3 - 8 + p**2 - 2*p + 14 - 10*p**2 - 3*p**4 - 1 as u*p**2 + b + r*p**3 + v*p**4 + j*p and give r. 7 Rearrange 220 - 13 + 220 + 2267*o + 9 - 2264*o to the form p*o + k and give p. 3 Rearrange (-165 - 50 + 36 - 42 - 23)*(-4*v + 7*v + 143 - 115) to r + l*v and give r. -6832 Rearrange -54*v**3 + 2*v + 0*v - 59*v**2 - 54*v**2 + 52*v**3 to p*v**3 + j*v + n*v**2 + k and give n. -113 Rearrange -76*a**2 + 23*a - 23 + 31*a + 27*a - 81*a to m + i*a + x*a**2 and give x. -76 Express (3*v - 7*v + 3*v)*(-218289 + 109144 - 11145*v + 109147) as f + h*v**2 + t*v and give f. 0 Express (5*u - u - 2*u)*(-2*u + 0 + 0) - 157*u**2 - 155*u**2 + 317*u**2 - 2*u**2 + 1 - 1 as h*u + j + x*u**2 and give x. -1 Rearrange (0 + 0 - f**2)*(2 + 2 - 2) + 2 - 2*f**2 - 2 + (0*f - f - 2*f - 1)*(-3*f + 3 + 4*f + 9)*(26 - 31 - 54) to the form j + q*f**2 + y*f and give j. 708 Rearrange (3*t**2 - 6*t**2 - 2*t**2)*(-5*t - 4*t + t) - 4767 + 4767 + 210*t**3 to the form y*t**2 + h*t**3 + q*t + a and give h. 250 Rearrange -2*v - 1432*v**4 + 1944*v**3 - 1424*v**4 + 2855*v**4 to the form z*v + j*v**4 + x*v**3 + y*v**2 + b and give j. -1 Express 415983 - 415985 + g**2 + 0*g - g**3 - g + 7*g in the form s*g**2 + a + c*g**3 + t*g and give t. 6 Rearrange 249*h + 1859*h + 1586*h to the form b + c*h and give b. 0 Rearrange (21641*b - 10805*b + 25 - 10790*b)*(-10*b + 22 - 22) to the form p + n*b**2 + m*b and give m. -250 Rearrange (0*b**2 - 55*b**2 - 25*b**2)*(b - 5*b + 2*b + (-b + 3*b - 6*b)*(-6 + 0 + 3) - 1 + 1 - b) to v*b**3 + s*b + n*b**2 + w and give v. -720 Rearrange (2 - 14 - 3)*(14 - 29 + 17 - 25*j)*(5 - 3 - 1)*(0 + 5 - 1)*(2*j + 1 - 1) to m*j**2 + r + v*j and give m. 3000 Rearrange 123*l**4 + 0 + 5*l + 20*l + 19*l + 2 + 2*l**3 - 46*l + 2*l**2 to the form b*l + p*l**2 + v + s*l**4 + n*l**3 and give n. 2 Rearrange 1930*d + 1652*d + 2576*d - 120*d - 853*d to o + k*d and give k. 5185 Express 25*a - 27*a - a**4 - 351*a**2 + 3 + 6*a**4 - 9*a**3 + 349*a**2 in the form t*a**4 + s*a**3 + b + j*a**2 + v*a and give j. -2 Express 59047319 - 59047319 + 27653*f as x + u*f and give x. 0 Rearrange 75*l - 1566 + 765 + 750 to the form i + j*l and give i. -51 Express (-y + 2*y + 0*y)*(-6*y - y + y) - 383 - 23*y**2 + 385 - 130*y**2 + (0 + 2 + 0)*(-3*y**2 + y**2 - y**2) in the form u + t*y**2 + p*y and give u. 2 Rearrange (-2*p + 0*p + 5*p)*(424*p - 211*p + 323*p) to the form t*p + n*p**2 + b and give n. 1608 Rearrange 1052678*w + 113*w**2 - 1052678*w to h*w**2 + q + u*w and give h. 113 Rearrange -14*j**2 + 2*j**2 - 218 - 177 - 18*j**2 + 41 to h*j**2 + i*j + l and give i. 0 Rearrange (15*g**2 - 6*g**2 + g**2)*(-381*g**2 + 77*g**2 + 82*g**2) to t + l*g**4 + y*g**2 + s*g**3 + a*g and give l. -2220 Express -332*o + 12 + 62*o + 100*o - 98*o + 23*o in the form v + j*o and give v. 12 Express (i**2 - 4*i**2 + 2*i**2)*((0*i - 6*i + i)*(-105 + 154 + 128) - 5*i + 3*i + 4*i)*(2 + 0 + 1) in the form r*i**3 + l*i + c*i**2 + d and give d. 0 Express ((-13 - 19 + 6)*(-4*w**2 + w**2 + 2*w**2) - 3*w**2 + 5*w**2 - 6*w**2 + 2*w - 2*w**2 - 2*w)*(0*w - 4*w + 2*w) as r*w + c*w**3 + s*w**2 + h and give c. -40 Rearrange (68*k - 180 + 180)*(-11 - k + 29 + 14) to v*k + l + b*k**2 and give v. 2176 Express (12 - 4 + 13)*(-28 + 49 - 22)*(v + 2 - 2)*(5 - 1 - 1)*(-2*v + 4*v + 0*v) in the form p*v**2 + h + q*v and give p. -126 Rearrange 11*g**3 + 6*g**2 - 2*g + 0*g - 4*g**2 - 15161 + 14870 to the form u*g**3 + h*g + n*g**2 + x and give n. 2 Express 4*r**3 + r**3 - 3*r**3 + 19*r**3 + 12 - 12 + (r**2 + r**2 - 4*r**2)*(10*r + 11*r - 6*r) as v*r + o + m*r**2 + y*r**3 and give y. -9 Rearrange (64 + 15 + 1417)*(1 - 1 + 2*c)*(-4*c + 3*c + 3*c) to the form b*c**2 + q + w*c and give b. 5984 Express -1566 + 2*t - 2*t**4 - 3*t**2 - 11*t**3 + 3136 - 1571 as p + l*t + k*t**4 + c*t**3 + n*t**2 and give k. -2 Rearrange 1 + q**3 - 150*q**2 + 180*q**2 + 0*q - 4*q**4 - 3*q to f*q**2 + i*q + j + n*q**4 + r*q**3 and give j. 1 Rearrange -4419*h**3 + 4*h**4 - 4*h**2 - 4429*h**3 + 8846*h**3 to o + j*h + s*h**2 + r*h**3
{ "pile_set_name": "DM Mathematics" }
290 What is the v'th term of -1210, -2403, -3596? -1193*v - 17 What is the z'th term of -843, -1212, -1581, -1950, -2319, -2688? -369*z - 474 What is the t'th term of 4951, 4915, 4879, 4843? -36*t + 4987 What is the w'th term of -107266, -107264, -107262, -107260, -107258, -107256? 2*w - 107268 What is the d'th term of 371, 341, 291, 221, 131? -10*d**2 + 381 What is the r'th term of -45, -244, -573, -1026, -1597? r**3 - 71*r**2 + 7*r + 18 What is the j'th term of -7566, -15071, -22576, -30081, -37586, -45091? -7505*j - 61 What is the c'th term of 6798, 6799, 6800? c + 6797 What is the k'th term of 39701, 317554, 1071723, 2540366, 4961641? 39693*k**3 + 2*k + 6 What is the l'th term of 7656, 7664, 7674, 7686, 7700, 7716? l**2 + 5*l + 7650 What is the a'th term of -132, 111, 508, 1059, 1764? 77*a**2 + 12*a - 221 What is the y'th term of 118638, 118654, 118670, 118686, 118702, 118718? 16*y + 118622 What is the g'th term of -2144, -2142, -2138, -2132, -2124, -2114, -2102? g**2 - g - 2144 What is the p'th term of 3568, 3578, 3588, 3598, 3608? 10*p + 3558 What is the i'th term of 0, -11, -38, -81, -140, -215, -306? -8*i**2 + 13*i - 5 What is the h'th term of -163, -1129, -3759, -8887, -17347? -139*h**3 + 2*h**2 + h - 27 What is the j'th term of 3038, 6074, 9112, 12152, 15194? j**2 + 3033*j + 4 What is the h'th term of 306, 496, 494, 204, -470? -16*h**3 + 302*h + 20 What is the q'th term of 120, 1027, 3424, 8037, 15592, 26815, 42432? 121*q**3 + 19*q**2 + 3*q - 23 What is the f'th term of 185, 1302, 4331, 10226, 19941, 34430? 159*f**3 + 2*f**2 - 2*f + 26 What is the h'th term of 6027, 24122, 54281, 96498, 150767, 217082? -h**3 + 6038*h**2 - 12*h + 2 What is the l'th term of -11530, -46140, -103826, -184588, -288426, -415340? -11538*l**2 + 4*l + 4 What is the f'th term of 261, 396, 531, 666, 801? 135*f + 126 What is the z'th term of 55901, 55931, 55949, 55949, 55925, 55871, 55781? -z**3 + 37*z + 55865 What is the b'th term of 493, 1968, 4421, 7846, 12237? -b**3 + 495*b**2 - 3*b + 2 What is the x'th term of -958, -3699, -8266, -14659, -22878? -913*x**2 - 2*x - 43 What is the d'th term of 12288, 12282, 12272, 12258, 12240? -2*d**2 + 12290 What is the x'th term of -12, 4, 40, 90, 148? -x**3 + 16*x**2 - 25*x - 2 What is the x'th term of 2412, 9629, 21656, 38493, 60140, 86597, 117864? 2405*x**2 + 2*x + 5 What is the x'th term of 23, 316, 1113, 2666, 5227, 9048, 14381, 21478? 42*x**3 - x - 18 What is the d'th term of 5573, 11183, 16793? 5610*d - 37 What is the t'th term of -38312, -38371, -38434, -38501, -38572, -38647, -38726? -2*t**2 - 53*t - 38257 What is the q'th term of 1151, 2357, 3619, 4949, 6359, 7861? 2*q**3 + 16*q**2 + 1144*q - 11 What is the l'th term of 637, 2423, 5405, 9589, 14981, 21587, 29413, 38465? l**3 + 592*l**2 + 3*l + 41 What is the k'th term of 349, 405, 457, 505, 549? -2*k**2 + 62*k + 289 What is the h'th term of 43166, 86353, 129540, 172727, 215914? 43187*h - 21 What is the z'th term of 4146, 16586, 37324, 66360, 103694? 4149*z**2 - 7*z + 4 What is the q'th term of -4412, -4379, -4320, -4229, -4100, -3927? q**3 + 7*q**2 + 5*q - 4425 What is the i'th term of -1420, -1420, -1422, -1426, -1432, -1440, -1450? -i**2 + 3*i - 1422 What is the p'th term of -11, -62, -137, -236, -359, -506, -677? -12*p**2 - 15*p + 16 What is the f'th term of -3016, -6063, -9120, -12193, -15288, -18411, -21568, -24765? -f**3 + f**2 - 3043*f + 27 What is the t'th term of 59153, 118301, 177449, 236597, 295745? 59148*t + 5 What is the i'th term of -109, -441, -995, -1771, -2769, -3989, -5431? -111*i**2 + i + 1 What is the k'th term of -65060, -65060, -65068, -65090, -65132, -65200? -k**3 + 2*k**2 + k - 65062 What is the x'th term of -3014, -2836, -2538, -2120, -1582, -924, -146? 60*x**2 - 2*x - 3072 What is the q'th term of -234, -23, 188? 211*q - 445 What is the l'th term of -194010, -194012, -194014, -194016? -2*l - 194008 What is the y'th term of -6266, -6311, -6356, -6401, -6446? -45*y - 6221 What is the z'th term of 528919, 1057841, 1586763, 2115685, 2644607, 3173529? 528922*z - 3 What is the z'th term of -636, -2569, -5794, -10311, -16120, -23221, -31614? -646*z**2 + 5*z + 5 What is the n'th term of -7043, -28135, -63287, -112499, -175771, -253103, -344495? -7030*n**2 - 2*n - 11 What is the w'th term of -285719, -571443, -857167? -285724*w + 5 What is the g'th term of -2053, -2000, -1861, -1594, -1157? 7*g**3 + g**2 + g - 2062 What is the v'th term of 3551, 3554, 3557, 3560, 3563, 3566? 3*v + 3548 What is the o'th term of 27957, 27959, 27961, 27963? 2*o + 27955 What is the m'th term of -38, -116, -182, -230, -254, -248? m**3 - 85*m + 46 What is the x'th term of -6478, -6255, -6032, -5809, -5586, -5363? 223*x - 6701 What is the z'th term of -32666, -65383, -98098, -130811, -163522, -196231, -228938? z**2 - 32720*z + 53 What is the m'th term of -270, 65, 974, 2745, 5666, 10025, 16110, 24209? 48*m**3 - m**2 + 2*m - 319 What is the x'th term of -220, -234, -248, -262? -14*x - 206 What is the g'th term of 53675, 53677, 53681, 53687, 53695? g**2 - g + 53675 What is the z'th term of 31490, 125916, 283292, 503618, 786894, 1133120? 31475*z**2 + z + 14 What is the p'th term of 145, 667, 1557, 2815? 184*p**2 - 30*p - 9 What is the y'th term of -295, -345, -465, -691, -1059, -1605, -2365, -3375? -6*y**3 + y**2 - 11*y - 279 What is the n'th term of 56767, 56765, 56759, 56749, 56735, 56717, 56695? -2*n**2 + 4*n + 56765 What is the i'th term of 171487, 171488, 171489, 171490? i + 171486 What is the u'th term of -173217, -173216, -173215, -173214? u - 173218 What is the m'th term of 1114, 4479, 10088, 17941, 28038? 1122*m**2 - m - 7 What is the b'th term of -52, -2, 106, 272, 496, 778, 1118? 29*b**2 - 37*b - 44 What is the v'th term of 18003, 18029, 18055, 18081, 18107? 26*v + 17977 What is the c'th term of -2259, -4367, -6475, -8583, -10691, -12799? -2108*c - 151 What is the h'th term of -20399, -40740, -61083, -81428, -101775, -122124? -h**2 - 20338*h - 60 What is the n'th term of 117, 64, 21, -6, -11, 12, 69, 166? n**3 - n**2 - 57*n + 174 What is the l'th term of 24, -24, -72, -120, -168, -216? -48*l + 72 What is the p'th term of -96700, -96699, -96696, -96691, -96684, -96675? p**2 - 2*p - 96699 What is the o'th term of -1940, -4375, -6812, -9251, -11692, -14135, -16580? -o**2 - 2432*o + 493 What is the n'th term of 7341, 14633, 21925? 7292*n + 49 What is the l'th term of -21955, -43922, -65887, -87850, -109811? l**2 - 21970*l + 14 What is the y'th term of 295, 1132, 2527, 4480? 279*y**2 + 16 What is the l'th term of -176540, -353077, -529614, -706151? -176537*l - 3 What is the b'th term of 971, 2056, 3141, 4226? 1085*b - 114 What is the g'th term of -90, -69, -12, 99, 282, 555? 3*g**3 - 93 What is the j'th term of -558086, -558084, -558082, -558080, -558078, -558076? 2*j - 558088 What is the y'th term of 2743, 10914, 24541, 43630, 68187, 98218, 133729? y**3 + 2722*y**2 - 2*y + 22 What is the w'th term of -1739, -1745, -1751? -6*w - 1733 What is the g'th term of -15446, -30736, -46026? -15290*g - 156 What is the n'th term of 181630, 181628, 181626, 181624, 181622? -2*n + 181632 What is the p'th term of 30, 120, 276, 498, 786, 1140, 1560? 33*p**2 - 9*p + 6 What is the o'th term of 13768, 13769, 13770, 13771, 13772? o + 13767 What is the x'th term of -147, -10, 125, 258, 389, 518? -x**2 + 140*x - 286 What is the b'th term of -5907, -11826, -17759, -23706, -29667, -35642? -7*b**2 - 5898*b - 2 What is the m'th term of -111729, -111725, -111721, -111717, -111713? 4*m - 111733 What is the s'th term of 316, 1274, 2872, 5110, 7988, 11506, 15664? 320*s**2 - 2*s - 2 What is the q'th term of 312, 629, 958, 1299? 6*q**2 + 299*q + 7 What is the q'th term of -41809, -41801, -41793, -41785, -41777? 8*q - 41817 What is the z'th term of -30551, -30530, -30509, -30488? 21*z - 30572 What is the x'th term of 21714, 21706, 21684, 21642, 21574? -x**3 - x**2 + 2*x + 21714 What is the f'th term of 106, 798, 2664, 6298, 12294, 21246, 33748, 50394? 99*f**3 - 7*f**2 + 20*f - 6 What is the v'th term of 178, 306, 416, 502, 558, 578, 556, 486? -v**3 - 3*v**2 + 144*v + 38 What is the d'th term of 147, 31, -137, -381, -725, -1193, -1809, -2597? -4*d**3 - 2*d**2 - 82*d + 235 What is the j'th term of
{ "pile_set_name": "DM Mathematics" }
999.6 0.632 * -1.2 -0.7584 Product of 3.162 and -0.3. -0.9486 Work out 5 * -18.92. -94.6 2727 * -0.1 -272.7 What is -0.85 times 1? -0.85 0.2*33.2 6.64 3 * 48.6 145.8 Calculate -1*-331. 331 -3.2 * -0.29 0.928 -153.2 * -0.7 107.24 Calculate -0.02*10.6. -0.212 3 times -5.2 -15.6 Product of 5 and -46. -230 Multiply -3 and 11. -33 Product of -16 and 8. -128 -0.1*0.11 -0.011 What is the product of 18.54 and 0.03? 0.5562 -1632*0.4 -652.8 4 times 0.03 0.12 Work out -0.3 * 0.2201. -0.06603 0.744 times 1 0.744 1.6 times -0.1 -0.16 Product of -0.3 and -4. 1.2 174*0.006 1.044 Work out -171 * -0.5. 85.5 What is -0.036 times 0? 0 Product of -0.50089 and 2. -1.00178 0.129 * 0.2 0.0258 Product of 15 and -0.1. -1.5 What is 180 times -0.4? -72 Product of -54.4 and 0.5. -27.2 Multiply -1115 and -3. 3345 4.4*536 2358.4 What is the product of -4.4 and -21? 92.4 Calculate -1045*-0.4. 418 What is -75 times 0.1? -7.5 -0.4 * -0.267 0.1068 1 * -0.075 -0.075 What is the product of -2 and 591? -1182 Multiply 40944 and -0.4. -16377.6 Product of 43 and -36. -1548 -0.3*106 -31.8 Multiply 8 and 611. 4888 Work out 9 * -0.788. -7.092 Multiply -3 and -164. 492 Product of 784 and -1. -784 Calculate -0.1*-67. 6.7 Multiply 0.27 and -3.4. -0.918 What is the product of -0.23 and 0.8? -0.184 1 times -4.6 -4.6 What is -0.2 times 200? -40 -0.029 times 48 -1.392 -0.14448 * -5 0.7224 Calculate -95*0.072. -6.84 What is -0.03 times 0.417? -0.01251 36 times 8.2 295.2 What is 433 times -14? -6062 Calculate 38*0. 0 Multiply -130 and -0.5. 65 What is -2.24 times 0.4? -0.896 Work out -0.02 * 17. -0.34 Work out -3 * -396. 1188 -0.12 * -15.1 1.812 What is 3 times -13.55? -40.65 What is the product of 19 and -0.14? -2.66 0.4*-2857 -1142.8 -5 * 14.1 -70.5 Product of -95.4 and -7. 667.8 0.5 * -3341 -1670.5 -104 times -0.1 10.4 Work out 0.5 * -0.4. -0.2 What is -1551 times -5? 7755 -0.7 * 0.0904 -0.06328 0.888 times -0.1 -0.0888 Multiply 2 and -29. -58 Work out 2 * -108. -216 What is 1492 times -5? -7460 Calculate -0.426*0.5. -0.213 Product of -3193 and 4. -12772 What is 0.04 times -355? -14.2 Multiply -24 and -1.2. 28.8 Product of -2 and -0.03. 0.06 Calculate -0.19*-2. 0.38 Work out -0.44 * -0.103. 0.04532 Product of 0.032 and 0.3. 0.0096 What is -3 times 1417? -4251 -4 * 189 -756 0.002 * -0.3 -0.0006 What is 84 times 7? 588 -0.9 * 0.099 -0.0891 Work out -4 * -23.3. 93.2 0.04 times -6.31 -0.2524 What is -310 times -0.1? 31 Product of 11 and -2.3. -25.3 0.5 times 8.28 4.14 179 * 4 716 What is -205 times 138? -28290 -2.477 times 5 -12.385 0.3 * -871 -261.3 What is 0.036 times 0.02? 0.00072 Calculate 62*8. 496 Calculate -238*0.24. -57.12 What is the product of 0.02 and -8? -0.16 Multiply -0.0822 and -0.2. 0.01644 0.2 * 18 3.6 -1 * 777 -777 What is 103 times 6? 618 0.019 * -0.1 -0.0019 Product of 12 and 0.05. 0.6 What is -186 times -0.4? 74.4 -4.68 * -0.3 1.404 -27 times 15.9 -429.3 Work out -3 * -14. 42 Multiply -0.3 and -6. 1.8 Multiply 0.067 and -1.6. -0.1072 Calculate -0.69*-0.4. 0.276 What is the product of 1500 and 0.06? 90 Calculate -351*-0.4. 140.4 What is 11282 times 4? 45128 0.19 * -5 -0.95 Multiply -3559 and 3. -10677 What is 100 times -0.3? -30 Work out -0.045 * 36. -1.62 Product of 0.3 and 7.12. 2.136 -67.3 * 1 -67.3 Work out -1.11 * -4. 4.44 Work out -1638.4 * -0.3. 491.52 What is the product of -0.1 and -97? 9.7 4*995 3980 What is the product of -124.6 and -0.2? 24.92 -1.4 * 19.1 -26.74 Multiply -8 and -72. 576 0.2*-61 -12.2 Product of -3 and -81. 243 0 times 1.36 0 -103 * 169 -17407 Work out -9 * -0.27. 2.43 Multiply 1.5 and 118. 177 Calculate 0.0036*-0.1. -0.00036 What is the product of 1.35 and 0.1? 0.135 What is the product of -55 and 1.9? -104.5 0.1*-33.3 -3.33 What is the product of 0.3 and 3718? 1115.4 -29 times 100 -2900 What is the product of -0.5 and 376? -188 Work out 0.1 * 39. 3.9 Multiply 22 and 0.4. 8.8 Work out 38.4 * -0.1. -3.84 -0.1 times 1210 -121 35*39 1365 -0.58 * -0.4 0.232 Work out 80 * 0. 0 Multiply -11 and 1. -11 -0.98 times -254 248.92 -0.041 times 5 -0.205 Product of -103 and 6. -618 -0.4*-498.9 199.56 Multiply 0.12 and 64. 7.68 What is -4 times -313.2? 1252.8 Product of -0.81 and 0.5. -0.405 Product of 14.42 and -3. -43.26 What is the product of 2501 and 0.2? 500.2 -0.21*-1.21 0.2541 7*21 147 What is the product of 0.04 and -3.46? -0.1384 Work out 9 * -0.39. -3.51 -6 * -17 102 What is the product of 0.1 and -9? -0.9 -2 * -2.988 5.976 What is -24 times -297? 7128 What is the product of -0.12 and -0.187? 0.02244 4*240 960 -149 times 4 -596 Product of -2440 and 0.5. -1220 -162 times -1 162 Calculate -14*-11. 154 What is -5 times -60? 300 Calculate -0.0088*0. 0 -452*4 -1808 What is the product of 0.55 and 2? 1.1 -3*658 -1974 74.6 * -0.6 -44.76 -2*98 -196 Multiply -2 and -43.2. 86.4 Work out -128.73 * 5. -643.65 Product of 0.2 and 0.24. 0.048 What is the product of -0.1 and 26? -2.6 Multiply 4 and -329. -1316 Product of 0.8 and -10.2. -8.16 Product of -274 and -42. 11508 What is -1.01 times -3.9? 3.939 Calculate 0.055*0.5. 0.0275 5*12 60 Multiply 6 and 0.069. 0.414 -6.1 times 18 -109.8 -0.1 times 64 -6.4 Work out 9 * 0.08. 0.72 Product of 0.029 and 168. 4.872 Calculate 0.5*-0.11. -0.055 0.6 * 30 18 What is -1.8 times 0.0025? -0.0045 Multiply 4358 and 0.3. 1307.4 Product of 3 and -1.4. -4.2 Work out 1.2 * 120. 144 What is 151 times 35? 5285 Work out -5 * -25.7. 128.5 What is the product of 21067 and -0.3? -6320.1 0.3 times -64 -19.2 1072 * -0.5 -536 What is the product of 0.25 and -55.1? -13.775 Multiply -1 and 2186. -2186 0.2 times -7.3 -1.46 3.1*-0.04 -0.124 77.9 * 26 2025.4 Calculate 0.1*-0.126. -0.0126 0.22483 * -0.5 -0.112415 Multiply 37 and -215. -7955 Work out -400.8 * -0.4. 160.32 25*-0.01 -0.25 What is 71 times 0.2? 14.2 Calculate -152*21. -3192 Product of -0.5 and 0.84. -0.42 Multiply 15 and 4. 60 Product of -0.7 and 155. -108.5 Work out 271 * -0.13. -35.23 1*28 28 Multiply -0.037 and -9. 0.333 Product of -1694 and -12. 20328 Multiply 0.4 and 724. 289.6 -252 * -0.2 50.4 Multiply -0.008 and -3. 0.024 Multiply -7 and 2062. -14434 What is the product of -0.06 and -49? 2.94 -0.201 times 17 -3.417 20*-745 -14900 Work out -31 * 0.5. -15.5 Multiply 0 and 0.0543. 0 What is the product of 17.5 and 5? 87.5 Multiply -394 and 0.1. -39.4 What is the product of 0.17 and -4.08? -0.6936 What is the product of -9 and 43? -387 What is the product of -0.3 and -0.55? 0.165 What is the product of -0.01 and -317? 3.17 Work out -349 * 0.06. -20.94 -2*1565 -3130 Product of -27 and -5.1. 137.7 Work out -0.6934 * -1. 0.6934 Work out 0.007 * 0.1. 0.0007 0.02*-6.8 -0.136 What is -0.07 times -193? 13.51 Product of -33 and -376. 12408 Multiply 17 and -18.9. -321.3 -242 * 0.5 -121 What is the product of -86.2 and -3.4? 293.08 What is 4 times -51? -204 What is the product of -0.71 and -8? 5.68 What is 7 times 2.21? 15.47 Multiply 61 and -0.3. -18.3 0.04 times 0.6 0.024 Calculate -4*10. -40 -34*-12 408 -3.9 times -11 42.9 29*-0.39 -11.31 46 times 25 1150 -0.01 * 3237 -32.37 Calculate -0.1*0.507. -0.0507 Product of -150 and 13. -1950 25 times 157 3925 Multiply -0.04 and 81. -3.24 42 * -117 -4914 0.3 times -68 -20.4 Product of -1.1 and -17. 18.7 -3 * 0.7 -2.1 0.06 times 0.0678 0.004068 Calculate -1048*-4. 4192 What is -0.08 times -1.26? 0.1008 Work out 0 * -698. 0 -0.08*0.032 -0.00256 What is -0.16 times -2.5? 0.4 Calculate -234*1. -234 Multiply 0.64 and 0. 0 What is -45 times 33? -1485 What is the product of 0.12 and 7? 0.84 Calculate 7*-227. -1589 22*15 330 What is 16 times -61? -976 408 times -1 -408 Product of 2 and 1452. 2904 1.77*1 1.77 What is -0.8 times -1? 0.8 -3 * -0.057 0.171 Calculate -5*-348. 1740 What is -3 times 1.4? -4.2 What is 33.98 times 0.1? 3.398 What is 0.071 times -1? -0.071 Multiply -5 and -0.5. 2.5 Product of 2170 and 1. 2170 -0.0254 * -2 0.0508 0.5*-0.513 -0.2565 Calculate -17*257. -4369 Calculate -231*-3. 693 Product of 7.7 and 6. 46.2 Product of -0.4 and -1811. 724.4 -2*-1251 2502 -1*-3 3 0.6 times -0.5 -0.3 -0.8*-2.458 1.9664 -0.5 times -0.522 0.261 Product of 0.518 and 0.4. 0.2072 2.3*-0.4 -0.92 18644*-0.2 -3728.8 -4 times 348.5 -1394 Product of -1520 and -0.8. 1216 Calculate 3*-42. -126 -0.4*1.253 -0.5012 What is the product of -7 and -126? 882 What is the
{ "pile_set_name": "DM Mathematics" }
4715 Total of -82.48 and 0.1877. -82.2923 Work out -6347 + -141089. -147436 Calculate -628677 - 5784. -634461 What is 9 - -0.084418081? 9.084418081 What is the distance between -4912.52 and 18.7? 4931.22 What is 1648238 take away -129? 1648367 Calculate -25 - 42888290.1. -42888315.1 What is 1155.96179 minus -3? 1158.96179 Add -26347342 and 336. -26347006 15327 - -15874 31201 Add together -4973 and -10.586. -4983.586 What is -227.0125 less than -195? 32.0125 What is -0.01 take away 386.217123? -386.227123 Subtract 508099779 from 1. -508099778 What is 71831 + -249? 71582 198 + 9667800 9667998 Total of -0.1 and -2370702. -2370702.1 What is -29.8594 minus 0.6? -30.4594 Total of 5564753815 and 0.1. 5564753815.1 Put together -13.1444 and -286. -299.1444 Total of 3652.0776 and -2.4. 3649.6776 -0.82 + 1096.90572 1096.08572 Subtract -2 from 162365759. 162365761 Add -102.3381 and 196. 93.6619 Calculate 33175721.844 + 3. 33175724.844 Calculate -2557178 - -0.378. -2557177.622 -2.16693+-1535 -1537.16693 Subtract 60141559 from 1521. -60140038 Add together -11.8812 and -402341. -402352.8812 What is -905 minus 2.2598? -907.2598 Sum 306887 and 0.0756. 306887.0756 What is the distance between -2313216 and 59? 2313275 Calculate 17 - -3402.853. 3419.853 Total of -912.3 and 737. -175.3 What is 15 take away 108223? -108208 Work out 15606661286 - 0.3. 15606661285.7 Add together 147251 and 0.047. 147251.047 Calculate 3 - 40026740. -40026737 What is 328212 - 19? 328193 Calculate -3 + -4232214. -4232217 What is 3056.8 less than -218295? -221351.8 1962335723+-7 1962335716 What is 90047 less than 233.7? -89813.3 Total of 0 and -6770892149. -6770892149 -709+-2.46624 -711.46624 What is 2163.20735 - -7? 2170.20735 Calculate 3391866 + -144.4. 3391721.6 What is -8002 plus 152389? 144387 Calculate -32961.795 - 8. -32969.795 Put together -845510 and -82791. -928301 What is 0.0009404415 plus -0.1? -0.0990595585 What is the difference between 29720 and -11.7? 29731.7 What is -5709.1 - 1398.3? -7107.4 Total of 112.15059 and 3.28. 115.43059 What is 0.138555 + -673.34? -673.201445 Work out 143 - -2872. 3015 -2744.2 + 339 -2405.2 What is 1.690425 + -800? -798.309575 Add 71039749 and -1. 71039748 What is 18069.2 minus 1.66? 18067.54 What is the difference between -2 and -216749.651? 216747.651 What is -32.234 take away 37246? -37278.234 Subtract 0.16 from 23523.4. 23523.24 Sum -15665.4 and 5.029. -15660.371 Add 669 and 597376. 598045 Subtract 955 from -16144. -17099 Work out -151.1 - 39.898044. -190.998044 Add together 0.5 and -721886007. -721886006.5 -7666823+-176 -7666999 Calculate 13 - -23.1225528. 36.1225528 What is -3 less than 90104771? 90104774 Work out -33499832 - 0.5. -33499832.5 4.7355523 - -1 5.7355523 What is the difference between -178.603 and 1.932? 180.535 Add together -13.31509 and 0.3. -13.01509 Work out 0.098 + -0.351491. -0.253491 Subtract -110.65676 from 2. 112.65676 What is -8034239 + -2? -8034241 What is -2663889407 - 6? -2663889413 Add 4 and 0.038012595. 4.038012595 What is -2525862 minus 854? -2526716 Sum 0.1 and 88821.0547. 88821.1547 Calculate 796792 + -0.14. 796791.86 Add together 16 and -2802737.3. -2802721.3 4.75 + -3845526 -3845521.25 3 - -3402919028 3402919031 Add -847 and 14.90786. -832.09214 What is the difference between 1494 and -3238? 4732 Subtract -1.4 from -89.570846. -88.170846 What is 44344 take away 117699? -73355 What is -3771003 + 150? -3770853 What is 3439363 less than 13? -3439350 What is -2.7 + -14431069? -14431071.7 Total of 201721 and 16.077. 201737.077 Calculate -36225544 - 29.88. -36225573.88 Work out 2465593 + -1.231. 2465591.769 What is 1048485 take away -43.5? 1048528.5 What is -0.2 + 8638.29663? 8638.09663 What is the difference between -90109353 and -0.212? 90109352.788 What is 2 + 104054659? 104054661 Work out -16133512 - 2. -16133514 3631 + -3201 430 Work out -59028 + -1316. -60344 What is 5 minus 1480810319? -1480810314 What is the difference between 5285 and 0.06046? 5284.93954 Calculate -10799.2843 + 0.248. -10799.0363 Add together -37.9 and 120.458. 82.558 -2013 - -14672 12659 What is 0.023677424 - -72? 72.023677424 Put together 469459249 and -0.5. 469459248.5 Put together 1 and 406876.1. 406877.1 7888 + 292881 300769 Work out 298941 - 0.4133. 298940.5867 Add together 34855814.4 and 4. 34855818.4 Put together 2124881 and -0.4. 2124880.6 What is -0.274234776 minus 0.3? -0.574234776 3225 - -0.117 3225.117 Add together -0.078 and 58375169. 58375168.922 Work out -775.7105 - -0.2. -775.5105 1323.6011 - 0.3 1323.3011 Total of 0 and 45536.3446. 45536.3446 What is 5 take away 209905313.3? -209905308.3 -0.6+-3.23933922 -3.83933922 Calculate 0.02 + 3.967792. 3.987792 What is 8480.2843 plus -0.5? 8479.7843 Total of 1.1892417 and -0.06. 1.1292417 Put together 13505165 and 6. 13505171 Add -149401646 and -0.5. -149401646.5 What is -164415 less than -17.7? 164397.3 What is 105707458.1 take away -0.07? 105707458.17 Calculate 70 + 299107. 299177 Add together -362 and -1297304. -1297666 What is 4 plus -282732.91? -282728.91 Add 5263 and 72580. 77843 Add together -11695314 and 0.03. -11695313.97 -7.5 - -7.05685 -0.44315 What is -0.0605865 + 4558? 4557.9394135 What is 417705 take away 44.984? 417660.016 Subtract 7229991.1 from 41. -7229950.1 Total of -518.874 and 7. -511.874 Put together 0.1 and 3399005858. 3399005858.1 Add -395.9309 and -106. -501.9309 0.0914 + 0.07237 0.16377 Work out -0.021 - 4383.94. -4383.961 What is the difference between -5159.617 and -266? 4893.617 What is -102.6 plus 59911? 59808.4 What is the distance between -0.4 and -7342054? 7342053.6 What is the difference between 8732992 and -18? 8733010 What is 7932511 - -0.03? 7932511.03 What is -460 plus -123.154679? -583.154679 What is the difference between 36.7 and 998297? 998260.3 Subtract -2454909 from 45.22. 2454954.22 55293+5215.9 60508.9 Sum -22.010626 and 14. -8.010626 Work out -9915.81983 - 9. -9924.81983 What is 4092 - 8683157? -8679065 16834.247 + -2 16832.247 What is -0.2 plus -10983230? -10983230.2 What is 0.3738186106 + -0.5? -0.1261813894 -24.5 + 11188 11163.5 What is -2313.7 + -1225204? -1227517.7 What is the distance between 1152 and 5167? 4015 What is 2 + 6714473.7? 6714475.7 Work out -152.1 - -0.06580844. -152.03419156 What is -22.9071407 - 13? -35.9071407 Calculate 0.874805 - 128. -127.125195 Put together -1.4 and 131699. 131697.6 What is 3733917.4 minus -1.7? 3733919.1 What is the distance between 3 and -3289984610? 3289984613 What is -0.03497 minus 12838? -12838.03497 Calculate -166 + 1.075975. -164.924025 What is 0.1 - 428301.4? -428301.3 What is -12172.6 - 3.3313? -12175.9313 Calculate -1.8 - 0.9231469. -2.7231469 Calculate 0.064253 + 77.4. 77.464253 -795252 - -0.34 -795251.66 What is 0.15 + -182620793? -182620792.85 734.37+-33665 -32930.63 What is -45 - 166274524? -166274569 Total of 614 and 3503. 4117 -26330673 + 0.05 -26330672.95 Work out 0.1 + -29571343. -29571342.9 What is the distance between -0.3 and 3312.2063? 3312.5063 -25 - 0.2138512 -25.2138512 Subtract -2 from -13875106402. -13875106400 What is the difference between -0.9665 and 4.84? 5.8065 Calculate 0.1 + -22209065. -22209064.9 What is -10.890612 less than 1.2? 12.090612 Sum 21.960349 and -0.231. 21.729349 Subtract 0.193039 from 1.19. 0.996961 Add together 12.09042 and -309. -296.90958 Subtract 0.4 from -1517273541. -1517273541.4 Calculate 929868 - -1.3. 929869.3 Add -42 and 0.100526. -41.899474 What is 104 - 0.967846? 103.032154 -751.1355909+0.1 -751.0355909 176347909 - 0.018 176347908.982 Subtract 3.9 from -97182. -97185.9 What is 0.15512 minus 4? -3.84488 What is -60470.7 + 0.03? -60470.67 Work out 7 + 656289.441. 656296.441 Add together -2.39 and -15253. -15255.39 What is the distance between 16.4288 and 93549? 93532.5712 -4547040244+-12 -4547040256 Work out 872.34 + -0.186. 872.154 What is -51.176 + -0.942? -52.118 Calculate 5925551 - 0.0256. 5925550.9744 10649.509+26 10675.509 -1836596+1907 -1834689 Put together 0.329 and 951125. 951125.329 What is 5917545 less than 0.1? -5917544.9 What is -1572 plus 4489? 2917 What is 5.593614 plus 227? 232.593614 What is 3 less than -785674.4? -785677.4 Sum -0.14932 and -1.272742. -1.422062 Calculate -2.470913701 - -0.03. -2.440913701 What is
{ "pile_set_name": "DM Mathematics" }
)*((-4 - 1 + 6)*(1 - 6 + 4) - 42 - 83 - 59)*(4*n - 3 + 3). -740*n**2 Expand (-2*x - 2 + 2)*(-5 - 9 - 3 + (4 + 0 - 3)*(5 - 4 - 2) + 5 - 11 - 2)*(x**2 + 0*x**2 - 2*x**2)*(1 + 2 - 5). 104*x**3 Expand (-69 + 69 + 22*v + (1 - 2 + 0)*(3 - 3 - 2*v) - v + 0*v + 0*v + (3 + 0 - 6)*(-2*v + 0*v + v))*(5 - 1 - 5). -26*v Expand (-4 - 2 + 23)*(149*x - 222 + 222)*(3 + 3 - x - 5). -2533*x**2 + 2533*x Expand (4*g - 4*g - 4*g**2)*(-39*g**2 + 31*g**2 + 82 + 10*g**2). -8*g**4 - 328*g**2 Expand (4*r - 7*r**2 - 4*r - r)*((0*r - r + 2*r)*(4 - 1 - 2) + 22*r + 1 - 1). -161*r**3 - 23*r**2 Expand (h - 7*h + 0*h)*(2*h**3 - h + h)*(-14*h + 17*h - 17*h) + (-h**5 - 2*h**2 + 2*h**2)*(-1 - 2 + 5). 166*h**5 Expand -2*d**4 + 0*d**4 + 4*d**4 + (-7 + 7 - 6*d**2)*(-3 + 3 + 2*d)*(-47*d - 143*d - 156*d). 4154*d**4 Expand ((4*u - 2*u - 3*u)*(4 - 1 - 1) - u - 4*u - 2*u + 3*u + 0*u - 2*u + (-3*u + 3*u - u)*(-1 + 1 - 1) - 22 + 21*u + 22)*(u**2 + u**3 - u**2). 14*u**4 Expand (-4 + 4 - 2*y)*(-2 + 107*y + 811*y - 459*y). -918*y**2 + 4*y Expand (9 - 19 - 40 + (-1 + 3 - 1)*(3 - 1 + 0) - 3 + 0 + 1)*(24*z - 195 + 195). -1200*z Expand (645*g**2 + 1423*g**2 + 629*g**2)*((3*g - 2*g + 0*g)*(0*g**2 - g**2 - 5*g**2) - g - g**3 + g). -18879*g**5 Expand 37*a**2 + 40*a**2 + 18*a**2 - 5*a**2 + 5*a**2 - a**2 + (-3*a**2 + a**2 + 4*a**2)*(1 + 1 - 1). 96*a**2 Expand (-2 - 1 + 6)*(-1 + 1 + 2*x) + 11*x + 10*x - 14*x + 2 + (-2 - 2 + 5)*(21 - 21 - 4*x). 9*x + 2 Expand -11*t - 29*t + 23*t + (-9*t - 35*t + 0*t)*(-3 - 2 + 3) + 3*t - 8 + 8. 74*t Expand (2 - 1 + 2)*(-22*i + 33 - 33)*(0*i**2 + 0*i**2 - 2*i**4) + 198*i**5 + 344*i**5 - 397*i**5. 277*i**5 Expand (-5 + 2 + 2)*(-4 + 4 - 2*p) + 3*p - 2*p + 0*p + p + 11*p - 6*p + 4 - 4 - 123*p - 1 + 127*p. 13*p - 1 Expand (o**2 + 6*o**2 - 3*o**2)*(-4 + 1 + 1) + (82*o - 5*o + 11*o)*(-2*o - 3*o + o). -360*o**2 Expand -2*c**2 + c**5 + 2*c**2 + (-1223*c**3 + 1223*c**3 - 101*c**5)*((-3 + 5 - 4)*(0 + 2 + 0) + 2 - 3 - 2). 708*c**5 Expand (46 - 78 + 43)*(2 - 8 - 4)*(1 - 2*t**3 - 1). 220*t**3 Expand (2 + 6 - 4)*(-3*n**2 + 3*n**3 + 3*n**2) - 4*n + 4*n - n**3 - 258*n + 258*n - 4*n**3. 7*n**3 Expand (-q**2 - q**2 + 4*q**2)*(0 + 0 + 2) + (73*q + 169 - 169)*(-3 - 2 + 3)*(11*q + 13*q - 8*q) + q**2 - 1 + 1. -2331*q**2 Expand (35*o + 74*o - 8*o)*(o**3 + 3*o**3 + o**3). 505*o**4 Expand (-3 + 3 - 2 + 3 - 3 - 2 + (7 - 3 - 2)*(7 + 1 + 3) - 49 + 24 + 21)*(-z**2 + 0 + 0 + (-3*z**2 + 0*z**2 + 4*z**2)*(0 + 2 - 3))*(-2*z**2 + z**2 - 3*z**2). 112*z**4 Expand (9*n - 72*n - 128*n)*(n + 3*n - 2*n) - n**2 - 3*n**2 + n**2 + (0*n - 5*n + 3*n)*(n - 3*n + 0*n). -381*n**2 Expand (1 - 1 - n)*(-130 + 60 + 1088*n + 70). -1088*n**2 Expand ((-1 + 1 - 1)*(0 + 0 + 1) - 3 + 3 - 2 - 4 - 2 + 5 - 5 + 0 + 4 + 1 - 5 + 2)*(-20*s - 9*s - 2*s)*(4 - 3 + 1)*(-3 + 2 + 6). 2170*s Expand 55 + 476*b - 55 - 3 + 3 - 2*b + (0 - 1 + 4)*(5 - 5 + 3*b). 483*b Expand (-6 + 4 + 0)*(7*g + 0*g - 6*g)*(5*g - 3*g - 4*g)*(23*g + 29*g - 57*g + (0 + 4 - 2)*(-2*g + 4*g - g)). -12*g**3 Expand (1 - 1 - i)*(4 - 3*i**2 - 4) + (-12 + 9 - 6)*(2*i**3 + i**3 - i**3) + 3*i**3 + 2*i**3 - 3*i**3 + i**3 + i**3 - i**3 + (-2 - i + 2)*(-3*i**2 - 1 + 1). -9*i**3 Expand (3*o**2 - 450*o + 450*o)*(-9*o + 0*o + 7*o) + o**3 - 9*o**3 - 7*o**3. -21*o**3 Expand -409*y + 409*y - 69*y**3 + (-3 + 3 + 2*y)*(1 - 1 - 2*y**2) + 0*y**3 - 4*y**3 - 4*y**3 + 2*y**3 - 6*y**3 + y**3. -84*y**3 Expand (g**4 + 3*g**5 - g**4 + (g - 3*g + 3*g)*(-3*g**4 - g**4 + 6*g**4))*(356 - 1062 - 449). -5775*g**5 Expand (-5 + 2 + 2)*(3*c + 5*c - 4*c) + 11*c - 108 - 18*c + 119. -11*c + 11 Expand (16 - 62*l + 58*l - 7*l**3 + 9*l**3)*(3*l + 3*l - 5*l). 2*l**4 - 4*l**2 + 16*l Expand 16*l**2 - 11*l**2 + l**2 + (26*l + 12 - 12)*(4*l - 4*l + l) + 3*l**2 + l**2 - 2*l**2. 34*l**2 Expand 2*y + 2*y - 10*y + ((-5 + 4 + 0)*(3 - 3 + 1) + 3 - 4 + 0)*(-48*y + 52 - 52) + (-3*y + 3*y + 2*y)*(4 + 0 - 3). 92*y Expand (988 + 20 + 136 + 44)*(9*v**4 - 4*v**4 + 2*v**5 - 4*v**4). 2376*v**5 + 1188*v**4 Expand (0*r + 0*r + r)*(2117 - 5071 - 5094 - 7375). -15423*r Expand (-9 - 2 - 2)*(2 + 3 - 6)*(-2*n**2 + 0*n**2 + 3*n**2)*(52*n**2 + 27*n**2 - 4*n**2 + 93*n**2). 2184*n**4 Expand (2 - 4 + 4)*(4 + 2*b - 4) + 396*b + 697*b + 563*b. 1660*b Expand (65*c + 154 - 154)*((0 + 0 - 1)*(c - c - 2*c) + 11*c - 14 + 14 + (-4 + 2 + 0)*(-1 - c + 1) + c - 4*c + 4*c). 1040*c**2 Expand (-3 + 3 - 2*g**3)*(g + 0*g - 2*g + 180*g - 37*g - 43*g - 2 + 2 - 2*g + (1 + 0 - 2)*(-3*g + 4*g - 2*g) - 4*g - g + 4*g). -194*g**4 Expand (-44 + 20 - 13)*(2 + s - 2)*(-6 + 0 + 8). -74*s Expand (3*p**3 - p**3 + 0*p**3)*(-2 + 5 - 2) + ((p - p + p)*(-3*p - 3*p + 5*p) - 6*p**2 - p**2 + 6*p**2)*(2 - 4 - 2)*(2 + 2 + 0)*(4*p + 2*p - 5*p). 34*p**3 Expand (4*w**4 - 1 + 3*w**3 - 6*w**4 + 2)*(2*w - 8*w - w + (-w - 2*w - 12*w)*(1 + 2 - 4)). -16*w**5 + 24*w**4 + 8*w Expand (-4*q + 4*q + q**2)*(-122 + 2559*q**3 - 127 + 249). 2559*q**5 Expand -4*c**5 + 2*c**5 - 8*c**5 + (9*c - 70*c - 25*c)*(7 - 7 + 3*c**4). -268*c**5 Expand (-377 - 196 - 105 - 212)*((0*d - d - d)*(0 - 4 + 2) - 2 + 3*d + 2 + 3*d - 4*d - d)*(0*d**3 - 4*d**3 + d**3). 13350*d**4 Expand (-352*t**3 + 254*t**3 - 372*t**3)*(5 + 3 + 4). -5640*t**3 Expand (d**3 - d**3 + 6380*d**5 + 3100*d**5 - 576*d**5)*(2 + 0 + 0). 17808*d**5 Expand r + 43 - 12*r**2 - 43 - 2 - 2*r**2 + 2 + (98 - 7*r - 98)*(-5*r + r + 3*r). -7*r**2 + r Expand ((-5 + 1 + 3)*(0 - u + 0) - 54 - 15*u + 54)*(3*u + 5*u + 0*u)*(-2*u**2 - 1 + 1). 224*u**4 Expand (1 - 5 + 1 - 3 - 2 + 3 + (-1 + 0 + 0)*(0 - 1 - 1))*(-3991 + 2247 + 2925)*(-3*g + 3*g + g). -3543*g Expand (-491 + 746 - 1577)*(-j + 0*j + 3*j). -2644*j Expand (471*o - 471*o + 421*o**3)*(-2*o + 4*o + 5*o) - 2*o**4 + o**4 - o**4 + (-o**2 - o + o)*(-3*o**2 + o**2 + 4*o**2). 2943*o**4 Expand -3*j**4 + 7*j**4 + 3*j**4 + (-546 + 290 - 1567 + 3)*(4*j**4 - 3*j**4 - 2*j**4). 1827*j**4 Expand (a + 3*a - 2*a)*((3 + 1 - 2)*(10*a + 12*a - 24*a) + (4 - 4 + a)*(1 + 0 - 2)). -10*a**2 Expand -57 - 42*w + 11*w + 12*w + 95*w + 3 + 2*w - 3 - w - 2 + 2 + (2 - 2*w - 2)*(-2 + 1 - 1). 81*w - 57 Expand ((2 - 1 + 1)*(2 + 0 - 1) + 82 + 125 - 47)*(5*c - 3*c - 3*c). -162*c Expand (0*a**2 - 3*a**2 + 6*a**2)*(320*a**3 - 143*a**3 + 235*a**3). 1236*a**5 Expand (3*h - 2 + 2)*((3*h**4 + 2*h**4 - 3*h**4)*(-8 + 0 + 2) + h**4 + 2*h**4 - 5*h**4 + 8*h**4 + 7*h**3 - 7*h**3). -18*h**5 Expand (73 - 16*w - 73)*(6*w - 15*w - 10*w) + (3 + 1 - 2)*(0*w - 3*w - w)*(w - w + w). 296*w**2 Expand (u**2 + 18*u**2 - 3*u**2)*(296*u + 248*u + 28*u). 9152*u**3 Expand (20*x**5 + 22*x**5 - 46*x**5)*(-42 + 4 - 14). 208*x**5 Expand ((0 - 3 + 4)*(-4*n + 4*n + n**2) - n**2 - 2*n**2 + 6*n**2)*(-1468*n + 2096*n**2 + 1468*n). 8384*n**4 Expand (3 + r - 3)*(67412*r**4 - 141622*r**4 + 67888*r**4 + 2*r**2). -6322*r**5 + 2*r**3 Expand (0*d - 3*d + 2*d)*(d + 8*d - 13*d)*(-2 - 28 + 7). -92*d**2 Expand -2*d + 0*d + d + (-2 - 3 + 4)*(2 - 2 - 2*d) - 28*d + 61*d - 40*d - 19*d - 32*d + 20*d + (1 - 2*d - 1)*(-3 + 0 + 2). -35*d Expand (95 + 243 - 98 + 1072)*(-5*n - 2*n + 2*n). -6560*n Expand (j - 2*j + 2*j)*(63 - 29 + 80)*(-2 + 7 - 1). 456*j Expand 4*o - 4*o + 2*o - 3*o - o + o + (-o - 3 + 3)*(6 - 2 - 3) + 1858 - 61*o - 1858 - 2*o - 5*o + 5*o. -65*o Expand (33 - 15 - 2)*(2*z**2 + 0*z**2 - 49768*z**5 + 49776*z**5 + 13*z). 128*z**5 + 32*z**2 + 208*z Expand 1820*l**4 + 2370*l**4 - 5046*l**4 + (l + 3*l - 2*l)*(-2*l**2 + 2*l**2 + 2*l**3) + 2*l**4 - l**4 - 2*l**4 + 3*l**4 - 10*l**4 - 2*l**4. -862*l**4 Expand (4*p**4 + 3*p**4 - 6*p**4 + (p**2 + 11*p**2 + p**2)*(-8*p**2 + 3*p**2 - 9*p**2))*(-4 + 1 + 1)*(4*p - 2*p - p). 362*p**5 Expand -8*i**2 + 14*i - 14*i + (i + 0 + 0)*(-6*i + 5*i + 0*i - 29*i + 2*i + 13*i + (-2 - i + 2)*(3 - 1 + 0)). -25*i**2 Expand (-3*r + 43*r**2 + 50*r**2 - 124*r**2)*(-2*r + 0 + 0) - 2*r**3 - 4*r**3 + 3*r**3. 59*r**3 + 6*r**2 Expand (-14 - 9*i + 14)*(-3 - 5 + 21)*(6 - 1 - 4)*(2*i**4 + 3*i**4 - 3*i**4). -234*i**5 Expand (-7*i**2 + 0*i**2 + 3*i**2)*(233 - 489 + 231) + 4*i**2 - 4*i**2 - 2*i**2. 98*i**2 Expand (-2 - 3 + 3)*(-l**3 - 2*l**3 + 2*l**3) - l**2 + 3*l**3 + l**2 + (111*l - 111*l + 19*l**3)*(-12 + 3 + 3). -109*l**3 Expand (-621*w**3 - 320*w**3 + 135*w**3)*(2*w + 5*w - 4*w)*((-3 + 1 + 0)*(2 - 1 + 0) + 1 - 4 + 1). 9672*w**4 Expand (a**2 - 5*a**2 + 2*a**2)*(-3925 - 14054 - 9934 + 7478 - 16315). 73500*a**2 Expand (-2900*k - 1 + 1 - 865*k - 569*k)*(8*k + 45 - 45). -34672
{ "pile_set_name": "DM Mathematics" }
= -18.9999874 - r. Round a to 6 decimal places. 0.000013 Let a = -19 + -962. Let y = 980.9999202 + a. Round y to six dps. -0.00008 Let l = -323 - -226. Let h = 104696176 - 104696079.000073. Let i = h + l. Round i to five decimal places. -0.00007 Let i = -295.45596 - -400.45. Let h = 105 - i. What is h rounded to 3 dps? 0.006 Let k = -47 - -47.09. Let b = -19792 + 19792.09047. Let p = b - k. What is p rounded to four dps? 0.0005 Suppose -m + 0*m - 3*s + 15229985 = 0, -5*s + 60919975 = 4*m. Round m to the nearest one million. 15000000 Let g be -2*4/8 + 148. Let x = -79 + g. Round x to the nearest 10. 70 Let b = 1375 - 1375.00005636. What is b rounded to 5 decimal places? -0.00006 Let l = 81 - 80.93. Let s = l + -0.06876. What is s rounded to three dps? 0.001 Suppose 0*y = -4*y - 73936. Let k = y + 31484. What is k rounded to the nearest one hundred thousand? 0 Let n be (4 - 5 - -3)*-121240433. Let j be (-1)/(-2) - n/4. Suppose 5*m - 1620217 = -j. What is m rounded to the nearest 1000000? -12000000 Let f = -10 + 10.001. Let n = f + -0.0009923. What is n rounded to 6 decimal places? 0.000008 Let f = 14 - 24. Let g = f - -10. Suppose g*q = 3*q - 465. What is q rounded to the nearest ten? 160 Let n = 1.24999889 - 1.25. What is n rounded to six dps? -0.000001 Let n be (-7)/(21/3482844) + (-5 - -8). Let y = n - -2150945. What is y rounded to the nearest 100000? 1000000 Let k = 789.7443 + -790. Round k to 2 dps. -0.26 Let v = -13466.09 + 13342. Let z = 118 + v. What is z rounded to 0 decimal places? -6 Let m(h) = 16659*h + 174. Let t be m(14). What is t rounded to the nearest ten thousand? 230000 Let c = 1.63075124 + -10.63075134. Let y = -14 - -23. Let j = c + y. Round j to six decimal places. 0 Let a(b) = 4*b**2 - b. Let s be a(-1). Suppose s*t = 1668591 - 6118591. What is t rounded to the nearest one hundred thousand? -900000 Suppose -35 = 2*r - 7*r. Let k = r + -4. Let l(u) = 30998*u + 6. Let c be l(k). Round c to the nearest ten thousand. 90000 Let a = -579 - -361. Let h = 218.00111 + a. Round h to 4 dps. 0.0011 Let a be 176/(-11)*-10*193/2. What is a rounded to the nearest one hundred? 15400 Let z = 15.89 - 15.89001811. What is z rounded to six decimal places? -0.000018 Let s = 2638.2 - 2638.016336. Let u = 139.025336 + s. Let n = -139 + u. What is n rounded to 2 dps? 0.21 Let v(o) = 3681*o - 161. Let y be v(-19). Round y to the nearest 100000. -100000 Suppose -2*g = -5*q - 800595 - 243403, 4*q + 5*g = -835205. Let w be (-375 - 0)/((-27)/q). What is w rounded to the nearest 1000000? -3000000 Let x = 0.009 + -39.009. Let y = x - -40.63. Let g = -1.629858 + y. What is g rounded to 5 decimal places? 0.00014 Let p = 51 + -53.7. Let q = p - -1.65. Let l = 0.8 + q. Round l to one dp. -0.3 Let n = 71.3 + -70.196. Let m = 33.046 + -33. Let q = n + m. Round q to one dp. 1.2 Let p be 1060046 + (-2)/1 + 1. Suppose 4*w - p = -w. Suppose -5*o = 2*t + 423985, -2*t + t + 3*o = w. What is t rounded to the nearest ten thousand? -210000 Let s = -28 - -26. Let w be 40/24*(s + -1). Let f(r) = 13*r**3 - 4*r**2 - 5*r. Let c be f(w). Round c to the nearest one thousand. -2000 Let t = -14 + -1. Let z = 13.6 + t. What is z rounded to one dp? -1.4 Let j be (-824286)/(-12) - (-1)/(-2 + 0). What is j rounded to the nearest ten thousand? 70000 Let r = 8.76714 + -0.12814. Round r to the nearest integer. 9 Let w = -9.8 - -2.1. Let r = 7.741 + w. Let b = r - 0.040916. What is b rounded to five dps? 0.00008 Let z = 7900.335 + -7877. Round z to zero decimal places. 23 Let n = 10.35361 - -104.64109. Let u = n - 115. Round u to three dps. -0.005 Let h = 1494 + -1494.0001714. What is h rounded to five decimal places? -0.00017 Let c(j) = -2445*j**3 + 3*j**2 + 2*j - 3. Let z be c(3). Let b = z - -613055. Let h = b - 267070. Round h to the nearest 100000. 300000 Let k = -1 + 4. Let c = k - 2.97. Let f = c - 0.029944. What is f rounded to five decimal places? 0.00006 Let s = 0.408 - 0.41168. What is s rounded to three dps? -0.004 Let o = -1.003 - 59.897. Let l = o + 57. Let g = l + 3.90000095. What is g rounded to seven decimal places? 0.000001 Let v = -42.967 + 43. Let i = 0.02 - v. Let z = i + 0.0048. What is z rounded to three dps? -0.008 Let v be 712/(4*(-1)/(-23500)). What is v rounded to the nearest 100000? 4200000 Let b = 3.356 - 24.446. Round b to the nearest integer. -21 Let q = 6.669 - 0.069. Let p = q + -6.5846. Round p to three dps. 0.015 Let o = 0.9 - 2.7. Let l = -0.937 + 2.733. Let c = l + o. What is c rounded to 3 dps? -0.004 Let y = -0.58 - -1.24. Let a = -0.707 + y. Round a to 2 decimal places. -0.05 Let q be (-5)/40 + (-18)/(-16). Let m be q + (0 - 7431*471). Round m to the nearest one million. -4000000 Let p = -0.048 + -0.292. Let a = p - -0.339959. What is a rounded to five decimal places? -0.00004 Let d = 0.1121 + -0.11210618. Round d to six dps. -0.000006 Let n = 0.049 - 0.04901307. What is n rounded to 7 decimal places? -0.0000131 Let q = -60.756 - -53.25. Let b = -108 + 115.4. Let u = q + b. Round u to two decimal places. -0.11 Let j = 0.25 - 0.23. Let u = j - -2.88. Let v = u + 8.2. Round v to zero decimal places. 11 Let a(v) = -251*v**3 + 16*v**2 + 11*v + 4. Let k be a(-11). What is k rounded to the nearest 100000? 300000 Let p = 0.203 + -0.2716. Let c = 630 - 630.076. Let z = c - p. What is z rounded to 3 decimal places? -0.007 Let m = 72.652 + -73. Let u = -0.42 - m. What is u rounded to two dps? -0.07 Let u = -523.14203 - -523.1. Round u to three dps. -0.042 Let s = -260 - -259.999999734. Round s to seven decimal places. -0.0000003 Let w(p) = -126696*p - 216. Let v be w(4). Round v to the nearest 100000. -500000 Let n(d) be the first derivative of -5*d**3 - 5*d**2/2 - 16. Let l = 11 - 4. Let b be n(l). What is b rounded to the nearest one hundred? -800 Let p(v) = -2*v**3 + 46*v**2 + 59*v + 6. Let q be p(25). Round q to the nearest 10. -1020 Let x = 0.27 - 0.12. Let j = x - 0.55. Let y = -0.39952 - j. What is y rounded to 4 dps? 0.0005 Let k = -1907 + 1907.0007039. What is k rounded to four decimal places? 0.0007 Suppose -10 = 3*h + 5*o, -4*h - 4*o - 9 = 15. Let q be -32 + -1 + (h - -11). Let z be (-1 + -1039)*40/q. Round z to the nearest 1000. 1000 Let i be (-14)/(-77) - 6502/44*8. Round i to the nearest one hundred. -1200 Suppose 3*z + 20 = 35. Suppose p - 1092 + 8172 = -5*a, -2*p - 14140 = z*a. What is p rounded to the nearest 1000? -7000 Let g = -0.687 - -0.65. Let z = g + 0.03699957. Round z to seven dps. -0.0000004 Let q = -13 - -69. Let p be (-55)/7 + (-8)/q. Let y be 6/p + 233/(-4). What is y rounded to the nearest 10? -60 Let q = -18.1799393 - -18.18. What is q rounded to five decimal places? 0.00006 Let w = 19 + -68. Let n be 4/14 - (-2807)/w. Round n to the nearest 10. -60 Let c(k) = 47775*k - 25. Let b be c(-9). Round b to the nearest 100000. -400000 Suppose 4*a - 56 = -4*q - 20, -5*q + 5*a - 5 = 0. Suppose -2*v - 4*u = -6*u + 30, q*v + 48 = u. Round v to zero decimal places. -11 Let m = 30.76232 - -0.04768. Let x = 31 - m. Let r = -0.192 + x. What is r rounded to two decimal places? 0 Let a = 0.4 + -0.1. Let j = a + -0.299997. Round j to five decimal places. 0 Let i be 0 - -1 - -3*1/3. Suppose -3*s + i*l = l + 5850002, -5849992 = 3*s + 4*l. What is s rounded to the nearest 100000? -2000000 Let v = -49.921 + -0.079. Let a = 50.0132 + v. What is a rounded to 3 decimal places? 0.013 Let g = 0.044177 + -0.04174. Round g to 3 dps. 0.002 Let h = -47511582 + 47511580.76000199. Let v = -1.24 - h. What is v rounded to seven decimal places? -0.000002 Let y = 1472.997302 - 1473. Round y to 4 decimal places. -0.0027 Let o = 7.09276 + -7.1. Round o to 3 dps. -0.007 Let m = 39 + -39. Suppose m*t + 3*r = -2*t - 514, 3*r + 1034 = -4*t. What is t rounded to the nearest 100? -300 Let t = 1193 + -1192.99676. What is t rounded to three dps? 0.003 Let k = 445.265 + -427.3. Let h = 28 - 10. Let w = k - h. Round w to two dps. -0.04 Let n = 0.0176003814 - 0.0176. Round n to seven decimal places. 0.0000004 Let c be (-9)/6*9338/(-21). Let k be 1/((-3336)/c + 5). Round k to the nearest one hundred. -700 Let a = -2916 + 2888.66. Round a to the nearest integer. -27 Let q = 34.9 + -7.9. Let g = q + -64.2. What is g rounded to the nearest integer? -37 Suppose -5*z = -7*
{ "pile_set_name": "DM Mathematics" }
lue? (a) -5 (b) 0 (c) 1/3 (d) 5 c Which is the third biggest value? (a) -3/10 (b) -2 (c) -6 (d) -70 c What is the smallest value in -6, -2/21, -1, -1/4? -6 Which is the fourth biggest value? (a) 46 (b) 3 (c) -2/9 (d) 0.1 c Which is the smallest value? (a) -0.4 (b) -7/2 (c) -4 (d) 3 c What is the second biggest value in -1.5, -2.2, -2/17? -1.5 Which is the biggest value? (a) -262 (b) -1 (c) 0.1 (d) -5 (e) -2 c Which is the second smallest value? (a) 3 (b) -2/5 (c) 0 (d) -1 (e) 146.8 b What is the fourth smallest value in 0.2, -0.6, -11, 1? 1 Which is the third smallest value? (a) 2/17 (b) -0.07 (c) -0.1 a Which is the second biggest value? (a) -4 (b) 94 (c) 0 c What is the third biggest value in 0.3, 0.417, -0.4, 0? 0 Which is the third biggest value? (a) 1/437 (b) 1 (c) 0.1 a Which is the third smallest value? (a) -6 (b) -0.2 (c) 6 c Which is the second biggest value? (a) -2 (b) -1/10 (c) 5 (d) 2/17 (e) -1 d What is the smallest value in -191/2, 13, -1/2? -191/2 Which is the second biggest value? (a) 12 (b) 0.1 (c) 0 (d) -0.1 (e) 1/40 b Which is the fifth smallest value? (a) 0.5 (b) 2/17 (c) 1 (d) -4/7 (e) -0.03 c Which is the fourth smallest value? (a) 0.2 (b) -18 (c) 3 (d) 5 d What is the fourth biggest value in 1/6, 274, -5, -1/3, 1? -1/3 What is the second smallest value in -0.4, -0.641, 0.5, -2/11, 1? -0.4 What is the second biggest value in 3, -0.4, -5, -1/20? -1/20 Which is the third biggest value? (a) -2/9 (b) 2 (c) -2/7 c Which is the second smallest value? (a) -0.5 (b) 5 (c) -0.1 (d) -6531 a Which is the fourth smallest value? (a) 0.3 (b) -1/3 (c) 1 (d) 0.4 c What is the third biggest value in 39, -0.09, 0, -2? -0.09 Which is the fourth biggest value? (a) -0.06 (b) 13 (c) -13 (d) 0.3 (e) -1/2 e Which is the smallest value? (a) -3/2 (b) -0.1 (c) 2 (d) -2/9 a Which is the fourth biggest value? (a) 216 (b) 4 (c) -5 (d) 0.5 c What is the smallest value in 3, 2/3, -19? -19 Which is the second smallest value? (a) -1/5 (b) 0.045 (c) 0.2 (d) -2/15 (e) -1 a What is the third biggest value in -25, 2/11, -5, -4? -5 What is the fourth smallest value in 1, -2, -6, 2? 2 Which is the biggest value? (a) -0.4 (b) 3/7 (c) 1/2 (d) -2/11 c What is the fifth smallest value in -0.2, 2/11, -5, -2, -0.01? 2/11 What is the second smallest value in 1/3, -5, 1/31? 1/31 Which is the smallest value? (a) 0.02 (b) 4 (c) 1 (d) 39 (e) -2 e Which is the third smallest value? (a) -57/5 (b) 5 (c) 0.5 (d) -0.21 c Which is the biggest value? (a) -16 (b) 1/17 (c) -2 b Which is the biggest value? (a) 6 (b) -5/4 (c) 1/2 a Which is the second biggest value? (a) -28.5 (b) -1/2 (c) 1 b What is the third smallest value in 8, -25, 0.5, 9? 8 What is the second smallest value in 3/5, -8, 47? 3/5 What is the third smallest value in -1, -0.2, 74? 74 What is the second smallest value in -0.11, -5, 50? -0.11 Which is the smallest value? (a) 0.08 (b) 237 (c) 0.3 a What is the fourth smallest value in -4, -10, 30, 5? 30 What is the third smallest value in 269, 3, 0.2? 269 Which is the third smallest value? (a) -0.07 (b) 5 (c) 1 (d) -1/4 (e) 11.2 c What is the smallest value in 0.1, 3/7, 0.06, -4/23? -4/23 What is the smallest value in 1/2, 7, -1, -18? -18 Which is the third biggest value? (a) -5 (b) -0.06 (c) 1/5 a What is the third biggest value in -13, 1/7, 1/2? -13 What is the fourth smallest value in -0.5, 27, -1/5, 0.5, 3? 3 What is the third biggest value in 2, 173, 4? 2 What is the smallest value in 1, -2, 2/3, -852? -852 Which is the second smallest value? (a) -4 (b) -809 (c) 4/9 (d) -3 a What is the third biggest value in -8, 5, -0.1, -9? -8 Which is the fifth biggest value? (a) 0.4 (b) 0.9 (c) -2/13 (d) -14/9 (e) -0.5 d What is the biggest value in 0.2, -1/3, -7, 1/2, 0.04? 1/2 Which is the second biggest value? (a) 3/7 (b) 15 (c) 1 (d) 4/7 (e) 3 e Which is the third smallest value? (a) -3 (b) -0.23 (c) -4/7 b Which is the second smallest value? (a) -3 (b) 9 (c) -0.1 c What is the biggest value in -0.1, -25.8, 3? 3 Which is the third biggest value? (a) 1 (b) 49 (c) 4 (d) -0.5 a What is the fourth smallest value in 5, 3, 1/3, 0.38? 5 What is the fourth smallest value in -0.4, 0, -1/7, 1, 0.2? 0.2 Which is the second biggest value? (a) 0.3 (b) 128 (c) -7 a What is the fourth biggest value in 15.1, -2/5, 0.1, -3/5? -3/5 What is the biggest value in -0.4, 2, -373/5, 0.4? 2 What is the second biggest value in 2, 0.5, -21, 0? 0.5 What is the second biggest value in -0.1, 0.18, -2? -0.1 Which is the fourth smallest value? (a) 6 (b) 2 (c) -58 (d) -0.5 a Which is the second biggest value? (a) 0.4 (b) -69 (c) -4 c Which is the third smallest value? (a) 0.2 (b) -4 (c) -3 (d) 4 a What is the third biggest value in -1.1, 0.2, 37/11? -1.1 Which is the smallest value? (a) 0.4 (b) 0.1 (c) -5 (d) -2 c Which is the smallest value? (a) -0.3 (b) -8 (c) -2 (d) 83 (e) 1 b Which is the third biggest value? (a) -1 (b) -4 (c) -8 (d) -15 c Which is the second smallest value? (a) -3 (b) -2/5 (c) -8/7 (d) -0.3 (e) 0.3 c What is the third smallest value in 5/2, 1602, -2/13? 1602 Which is the second biggest value? (a) -2 (b) -161/3 (c) -1 a Which is the second smallest value? (a) -2/7 (b) -5 (c) -45 b What is the smallest value in 4, -1, 0.5? -1 What is the smallest value in 0.086, 1/3, 0.01? 0.01 Which is the third biggest value? (a) 2 (b) -2 (c) 66 b Which is the third biggest value? (a) 5/3 (b) 113 (c) 4 (d) -1/4 a Which is the third biggest value? (a) -24 (b) 1.3 (c) 3 a Which is the fourth smallest value? (a) -10.8 (b) 5 (c) -2/7 (d) 2 b Which is the smallest value? (a) 396 (b) 0 (c) 0.3 b What is the second smallest value in -8, 1258, 0.4, -3? -3 Which is the fourth smallest value? (a) 3 (b) 2 (c) -0.3 (d) 18 d Which is the fourth smallest value? (a) -0.5 (b) 2/7 (c) 1/11 (d) -0.6 b What is the second biggest value in 2/9, 0.01, 11, -1? 2/9 Which is the second biggest value? (a) 0 (b) -2 (c) 5 (d) 0.061 d Which is the third biggest value? (a) -69/70 (b) 5/2 (c) 0.1 a Which is the third biggest value? (a) -10.9 (b) 2/7 (c) -0.15 a Which is the biggest value? (a) 0.116 (b) -2/11 (c) -4 a What is the third biggest value in 752, 3/4, 0.4? 0.4 Which is the second smallest value? (a) 2/3 (b) -2 (c) -1/5 (d) 0.5 c What is the biggest value in -4.2, 2, 4? 4 What is the fourth smallest value in -5, 5, -1.3, -10? 5 What is the third biggest value in 4, 3, 0, -2/243? 0 What is the second biggest value in 21, -0.31, 5? 5 Which is the second smallest value? (a) 1 (b) -1/5 (c) -3 b What is the third smallest value in -21, 0.1, -0.3? 0.1 What is the fourth smallest value in 0.3, -43, 1, 3/7? 1 Which is the biggest value? (a) -2/149 (b) -0.3 (c) 2 c What is the third smallest value in 5, 14, -4, 0.4, 4? 4 What is the biggest value in 6/7, -14, 4, 1.5, -0.2? 4 Which is the fifth smallest value? (a) 0.354 (b) -0.5 (c) 0 (d) 3 (e) 5 e Which is the third smallest value? (a) 9 (b) -3 (c) 1/4 a Which is the second smallest value? (a) -1.2 (b) -1 (c) -0.63 b Which is the smallest value? (a) 1 (b) -25 (c) 3 b What is the smallest value in 1, 0.01, 0.9, 2/25? 0.01 Which is the second biggest value? (a) -4/7 (b) -2 (c) 0.2 a Which is the third biggest value? (a) -1 (b) 14 (c) 3 (d) 0.24 d What is the third smallest value in 77, 5, 3? 77 What is the third biggest value in -0.07, 0.4, -1? -1 Which is the fourth biggest value? (a) 23/4 (b) -0.4 (c) -1/4 (d) 9/5 b Which is the second smallest value? (a) -12 (b) 2 (c) -0.5 (d) 3 c What is the fourth smallest value in 2/7, -87, -0.1, 4? 4 Which is the second smallest value? (a) 0.03 (b) 2.5 (c) 1 c What is the third biggest value in 3, 7/8, 0.5? 0.5 What is the smallest value in 0.1, -2/3, -4, 2, 32? -4 What is the second biggest value in -659, -2/7, -0.5? -0.5 Which is the smallest value? (a) 0.05 (b) 1/9 (c) -5 (d) -20 d Which is the smallest value? (a) 0.14 (b) -61 (c) 2/11 b What is the biggest value in -2, 5, 0.21, -1? 5 What is the third smallest value in -4, -0.5, -10, -1, 38.4? -1 Which is the third smalle
{ "pile_set_name": "DM Mathematics" }
e next term in 501, 505, 519, 549, 601, 681, 795? 949 What comes next: -2, -7, -12? -17 What comes next: -1277, -1273, -1269, -1265? -1261 What is next in -12, -16, -4, 36, 116, 248, 444, 716? 1076 What is next in 17, 28, 31, 26, 13, -8, -37? -74 What comes next: 5, 1, -21, -73, -167, -315? -529 What comes next: 58, 75, 34, -95, -342? -737 What comes next: -33, -48, -63? -78 What comes next: 47, 119, 213, 329, 467? 627 What is next in 17, 39, 63, 89, 117, 147, 179? 213 What is next in -432, -421, -408, -393, -376? -357 What is next in 2329, 4658, 6987, 9316? 11645 What comes next: 501, 999, 1493, 1983, 2469? 2951 What is the next term in -147, -149, -151, -153, -155, -157? -159 What is next in -73, -33, 21, 95, 195? 327 What is the next term in 1955, 1962, 1973, 1988, 2007, 2030? 2057 What is the next term in 1, -8, -25, -56, -107, -184, -293? -440 What is the next term in 40, 45, 54, 67, 84, 105? 130 What comes next: 3445, 3447, 3449, 3451, 3453, 3455? 3457 What comes next: 14, 9, 4, -1, -6? -11 What is next in -393, -392, -393, -396, -401, -408, -417? -428 What comes next: 28, 58, 102, 166, 256? 378 What comes next: 7844, 7842, 7840, 7838? 7836 What is next in -5, 0, 5, 10, 15? 20 What is the next term in 798, 797, 796, 795, 794? 793 What is the next term in -7, -12, -17, -22, -27, -32? -37 What is the next term in 6929, 6928, 6919, 6896, 6853, 6784, 6683? 6544 What is next in -122, -129, -138, -149, -162? -177 What is next in 88, 86, 82, 76, 68? 58 What is the next term in 2, 24, 58, 110, 186, 292, 434? 618 What comes next: 23, 170, 427, 800, 1295, 1918, 2675? 3572 What comes next: 410, 934, 1470, 2024, 2602, 3210, 3854, 4540? 5274 What is next in -236, -931, -2090, -3713, -5800? -8351 What is next in -14, -25, -46, -83, -142? -229 What is next in 18, 11, -20, -81, -178, -317, -504? -745 What is next in 1, 25, 61, 115, 193? 301 What comes next: -204, -203, -202, -201, -200? -199 What comes next: -178, -356, -534, -712, -890? -1068 What comes next: 107, 218, 319, 404, 467, 502, 503? 464 What comes next: -59, -110, -161? -212 What comes next: 61, 65, 67, 67, 65? 61 What is the next term in -297, -582, -863, -1140? -1413 What is next in -140, -138, -136, -134, -132? -130 What is the next term in -617, -1239, -1861, -2483, -3105, -3727? -4349 What comes next: 2110, 2120, 2144, 2188, 2258, 2360, 2500? 2684 What comes next: -2, -13, -28, -47? -70 What is next in 1015, 2039, 3053, 4051, 5027? 5975 What comes next: -376, -739, -1086, -1417? -1732 What is next in -3, -9, -27, -63, -123, -213, -339? -507 What is next in 37, 46, 59, 76, 97, 122, 151? 184 What is next in 549, 1093, 1637, 2181? 2725 What is next in -73, -85, -107, -145, -205, -293, -415? -577 What is the next term in 601, 2413, 5441, 9691, 15169, 21881, 29833, 39031? 49481 What is the next term in 567, 1137, 1707, 2277, 2847? 3417 What is the next term in 17, 37, 91, 197, 373? 637 What is the next term in -38, -35, -32? -29 What is next in -1081, -2156, -3229, -4300? -5369 What comes next: 31, 61, 127, 247, 439, 721, 1111, 1627? 2287 What is next in 61, 74, 101, 148, 221? 326 What is the next term in -28, -58, -102, -166, -256, -378? -538 What comes next: -2, -17, -34, -53, -74, -97? -122 What comes next: -53, -105, -157? -209 What is next in 1204, 1241, 1288, 1351, 1436? 1549 What is the next term in -1746, -3492, -5238, -6984, -8730, -10476? -12222 What is the next term in 4250, 4248, 4246, 4244, 4242? 4240 What is the next term in 2363, 2373, 2383, 2393, 2403? 2413 What is next in -32830, -32831, -32832, -32833, -32834, -32835? -32836 What comes next: -8, -119, -300, -545, -848, -1203, -1604? -2045 What is next in -67, -136, -207, -280, -355, -432? -511 What is next in -240, -481, -720, -957, -1192? -1425 What is the next term in -25, -41, -51, -55? -53 What comes next: 5, 10, 15? 20 What is next in -45, -47, -49, -51? -53 What comes next: -21, -19, -17? -15 What comes next: 391, 789, 1199, 1627, 2079, 2561? 3079 What is the next term in -35, -84, -127, -158, -171, -160, -119, -42? 77 What is the next term in 2140, 2138, 2134, 2128, 2120? 2110 What is next in -97, -96, -95, -94, -93, -92? -91 What is the next term in -13, -24, -35? -46 What is the next term in 17, 64, 107, 140, 157, 152, 119, 52? -55 What comes next: -224, -222, -212, -188, -144, -74, 28, 168? 352 What comes next: -3685, -3687, -3689, -3691? -3693 What is the next term in -107, -96, -71, -26, 45, 148, 289, 474? 709 What comes next: 43621, 43633, 43659, 43705, 43777, 43881, 44023? 44209 What is the next term in 26, 18, 10, 2, -6? -14 What is the next term in 16, 179, 622, 1483, 2900, 5011, 7954, 11867? 16888 What is next in -73, -159, -253, -361, -489, -643, -829, -1053? -1321 What comes next: 2032, 4065, 6096, 8125? 10152 What is the next term in -2195, -4404, -6627, -8870, -11139, -13440? -15779 What is next in -14, -19, -24, -29, -34? -39 What comes next: -80, -74, -58, -26, 28, 110, 226, 382? 584 What is the next term in 25, 117, 273, 493? 777 What is next in -9, -28, -61, -102, -145, -184, -213, -226? -217 What is the next term in 123, 263, 503, 849, 1307, 1883, 2583? 3413 What is the next term in -30, -56, -82? -108 What is next in -172, -324, -474, -622? -768 What is the next term in 456, 639, 832, 1041, 1272, 1531, 1824? 2157 What is next in 62, 57, 42, 11, -42? -123 What comes next: 13, 0, -13, -26, -39, -52? -65 What comes next: 52, 203, 456, 811, 1268, 1827? 2488 What is the next term in -10111, -10109, -10107, -10105? -10103 What is next in -6288, -6287, -6286, -6285, -6284, -6283? -6282 What comes next: 10, -17, -62, -125, -206, -305, -422? -557 What is next in 28864, 57729, 86594, 115459, 144324, 173189? 202054 What is next in -28, -114, -248, -424, -636? -878 What is the next term in 19, 68, 177, 370, 671, 1104, 1693? 2462 What is next in -3417, -3410, -3401, -3390, -3377, -3362, -3345? -3326 What is next in 112, 208, 302, 394, 484, 572, 658? 742 What is next in -22, -69, -148, -259, -402, -577? -784 What comes next: -341, -336, -331, -326, -321, -316? -311 What is the next term in -470, -942, -1414? -1886 What is the next term in 27, 61, 129, 249, 439? 717 What is next in -65, -134, -239, -398, -629, -950, -1379? -1934 What is next in 669, 653, 639, 627? 617 What is the next term in 93, 81, 77, 87, 117, 173? 261 What is next in -296, -594, -894, -1196, -1500? -1806 What comes next: -176, -168, -170, -188, -228? -296 What comes next: 76, 66, 48, 22, -12, -54, -104? -162 What is next in -17, -40, -69, -98, -121, -132, -125? -94 What is next in -3, -28, -77, -156, -271? -428 What is the next term in -97, -190, -269, -328, -361? -362 What is the next term in -30, -24, -18? -12 What is the next term in 5, 9, 13, 11, -3, -35, -91, -177? -299 What is the next term in -13, -6, 5, 20, 39? 62 What is the next term in -20, 0, 44, 118, 228, 380? 580 What comes next: -311, -649, -979, -1295, -1591, -1861, -2099? -2299 What is next in -6, -15, -46, -111, -222, -391, -630, -951? -1366 What comes next: -20, -34, -64, -116, -196, -310, -464? -664 What is next in 1, 29, 81, 157, 257, 381? 529 What comes next: 106, 97, 66, 1, -110, -279, -518? -839 What is next in 227, 440, 665, 908, 1175, 1472, 1805? 2180 What comes next: 7093, 7094, 7095, 7096, 7097? 7098 What comes next: -203, -1656, -5595, -13262, -25899? -44748 What is the next term in 1, 17, 47, 97, 173? 281 What is next in 69, 276, 623, 1110, 1737, 2504, 3411? 4458 What comes next: -41, -151, -343, -623, -997, -1471, -2051, -2743? -3553 What is next in 63, 88, 115, 144, 175, 208? 243 What comes next: -8, -87, -306, -737, -1452, -2523, -4022? -6021 What is next in -75, -44, -11, 24, 61, 100? 141 What comes next: -4, 28, 82, 158? 256 What comes next: 23, 14, 7, 8, 23, 58? 119 What is next in 25, 61, 109, 163, 217? 265 What is next in 792, 785, 774, 759? 740 What is the next term in -1430, -1432, -1428, -1412, -1378, -1320, -1232, -1108? -942 What is the next term in 54, 108, 150, 174, 174, 144, 78? -30 What is next in 41, 44, 47, 50, 53, 56? 59 What is the next term in 46, 22, -18, -80, -170, -294, -458? -668 What is the next term in 47, 207, 483, 881, 1407? 2067 What comes next: -76, -157, -240, -325, -412? -501 What is next in -72, -61, -44, -21? 8 What is th
{ "pile_set_name": "DM Mathematics" }
, 5, 8 Put 2/3, 0.3, -2/13 in ascending order. -2/13, 0.3, 2/3 Put 1, -1, -35 in ascending order. -35, -1, 1 Put -48, 166, -2, 2 in ascending order. -48, -2, 2, 166 Sort -0.3, -5, 1.1, 1/32, 3 in descending order. 3, 1.1, 1/32, -0.3, -5 Put -5, -36, 3, 1, 2 in decreasing order. 3, 2, 1, -5, -36 Sort -0.4, -535, -0.3, 0.5 in descending order. 0.5, -0.3, -0.4, -535 Sort 8, -1/6, 0.05 in descending order. 8, 0.05, -1/6 Sort -3, -1, 1, -4 in descending order. 1, -1, -3, -4 Put 1, -22, 4, -2, 7 in increasing order. -22, -2, 1, 4, 7 Sort -0.3, 3/5, -5, 17, -3 in increasing order. -5, -3, -0.3, 3/5, 17 Put -3, 1, 4, -25 in decreasing order. 4, 1, -3, -25 Put -3, -6, 49, -2, 0 in increasing order. -6, -3, -2, 0, 49 Sort 1, 0.84, -1/6. -1/6, 0.84, 1 Sort -1, -263, -5 in ascending order. -263, -5, -1 Sort -2/9, -12/7, -5, 0.1, 14 in ascending order. -5, -12/7, -2/9, 0.1, 14 Put 36, -3, -3/4, -0.5 in ascending order. -3, -3/4, -0.5, 36 Put 2, -863, -6 in descending order. 2, -6, -863 Sort 0.4, 0.0147, 4 in descending order. 4, 0.4, 0.0147 Sort 1/6, -3/35, 5, 1/4, 4 in increasing order. -3/35, 1/6, 1/4, 4, 5 Sort -12/5, 3, 2, 1. -12/5, 1, 2, 3 Sort -1, 3, 969 in ascending order. -1, 3, 969 Sort 25, -5, 89, -1 in descending order. 89, 25, -1, -5 Sort -2, 2, -1 in descending order. 2, -1, -2 Put 0, 5, 19, 3, 2 in decreasing order. 19, 5, 3, 2, 0 Sort 2/15, -2/5, -19, 1/7, -0.2. -19, -2/5, -0.2, 2/15, 1/7 Put -2, 3, -4, 8 in descending order. 8, 3, -2, -4 Put 46, -2, 2 in increasing order. -2, 2, 46 Sort -1/11, -1, 0.114, -3, 0.3 in descending order. 0.3, 0.114, -1/11, -1, -3 Put -164, 5, 1 in increasing order. -164, 1, 5 Put 0.4, 6, -3, -102, -5 in increasing order. -102, -5, -3, 0.4, 6 Put 2/9, -6/5, 0.2 in ascending order. -6/5, 0.2, 2/9 Sort -1, 59/6, -2/5 in decreasing order. 59/6, -2/5, -1 Sort -467, -3, 3, -4. -467, -4, -3, 3 Sort 8, 2, 42, -4 in decreasing order. 42, 8, 2, -4 Put -3, -1, 4, -12 in increasing order. -12, -3, -1, 4 Put -5, 1/4, 5, -4 in ascending order. -5, -4, 1/4, 5 Put -65, 4, 5, 23 in descending order. 23, 5, 4, -65 Sort -453, 0, -6. -453, -6, 0 Sort 10, -25, -4, 2. -25, -4, 2, 10 Sort 1, 2937, 4, 2 in ascending order. 1, 2, 4, 2937 Sort -54, 67, -5 in decreasing order. 67, -5, -54 Sort 11, -2, -5, 2 in ascending order. -5, -2, 2, 11 Sort 5, 233, 1, -4 in decreasing order. 233, 5, 1, -4 Put 0, 1, 4 in descending order. 4, 1, 0 Sort 0, 43, -3 in decreasing order. 43, 0, -3 Sort -5, 0, 380 in ascending order. -5, 0, 380 Put 3, -3, -5, -9 in increasing order. -9, -5, -3, 3 Put -5, 99, -4, 1/10 in decreasing order. 99, 1/10, -4, -5 Sort 12, 4, 1, -1, -3. -3, -1, 1, 4, 12 Sort 0.5, -1/5, 0.3, 0.08 in ascending order. -1/5, 0.08, 0.3, 0.5 Put 0, 555, 4 in decreasing order. 555, 4, 0 Put -2, -1/9, -94, 1/6 in increasing order. -94, -2, -1/9, 1/6 Put 10, -36, 2, -3 in descending order. 10, 2, -3, -36 Put 10, 0, 19 in ascending order. 0, 10, 19 Put 79, 4, 2 in decreasing order. 79, 4, 2 Sort 0, 13, -1, 3 in ascending order. -1, 0, 3, 13 Sort 4, 2, -2986. -2986, 2, 4 Sort -2, 0, 7 in decreasing order. 7, 0, -2 Put -5, -3, -18, -4, -67 in increasing order. -67, -18, -5, -4, -3 Sort -5, -3, 2, -24 in increasing order. -24, -5, -3, 2 Put -32, 0.9, -3, 0.1 in descending order. 0.9, 0.1, -3, -32 Sort 35, -4, 3/4 in ascending order. -4, 3/4, 35 Put -0.5, 2, -1/4 in decreasing order. 2, -1/4, -0.5 Put -4/9, 0, 0.7 in ascending order. -4/9, 0, 0.7 Sort 5, -38/9, 2. -38/9, 2, 5 Put 4, -3/2, -0.11, -2/11 in descending order. 4, -0.11, -2/11, -3/2 Put -166.2, -0.1, -3 in descending order. -0.1, -3, -166.2 Sort 2, 60, 1, -2. -2, 1, 2, 60 Sort 2, -4, 105 in decreasing order. 105, 2, -4 Put -2, 0, -5 in decreasing order. 0, -2, -5 Sort -4, -33, 4 in decreasing order. 4, -4, -33 Put -3, -6, 13 in decreasing order. 13, -3, -6 Sort -3/14, 1, -0.26. -0.26, -3/14, 1 Sort 0.3, 2, -0.2, -4, -5/606 in descending order. 2, 0.3, -5/606, -0.2, -4 Put 8.9, 0.4, 0.267 in decreasing order. 8.9, 0.4, 0.267 Put -3/17, -1/3, -4, -34 in descending order. -3/17, -1/3, -4, -34 Put -0.1, 0.5, -0.3, -295 in increasing order. -295, -0.3, -0.1, 0.5 Put -2, -0.7, 0.2, 0.5 in decreasing order. 0.5, 0.2, -0.7, -2 Sort -1/7, 4, -4 in decreasing order. 4, -1/7, -4 Put -34, -3, -5 in decreasing order. -3, -5, -34 Sort -31, 2, 5, -1 in decreasing order. 5, 2, -1, -31 Sort 1, -16, -0.4, 2/9, -3/2. -16, -3/2, -0.4, 2/9, 1 Put -35, 3, -0.13, -1 in descending order. 3, -0.13, -1, -35 Put 65, 5, -3 in increasing order. -3, 5, 65 Sort 1, 3, 0.1, 57 in ascending order. 0.1, 1, 3, 57 Sort 1, -2/11, -0.1, -1/5, -18 in descending order. 1, -0.1, -2/11, -1/5, -18 Sort 54, 8, -4 in ascending order. -4, 8, 54 Sort 4, 2, -90, -1 in descending order. 4, 2, -1, -90 Put -41, -12, 5, 1 in descending order. 5, 1, -12, -41 Put 3, -2/13, -27, -2/23 in descending order. 3, -2/23, -2/13, -27 Sort 4, -5, 230, -1. -5, -1, 4, 230 Put 0, -1, 5, 3 in decreasing order. 5, 3, 0, -1 Sort 3, -3, -3975. -3975, -3, 3 Sort 2, 4, -258, 1, -5 in decreasing order. 4, 2, 1, -5, -258 Put 0.2, -2, -0.3, -6/17, -1 in increasing order. -2, -1, -6/17, -0.3, 0.2 Put -0.92, 0.08, -5 in decreasing order. 0.08, -0.92, -5 Sort -194, 1.9, 0 in ascending order. -194, 0, 1.9 Sort 0, 1/5, -0.2, 0.29, 0.4. -0.2, 0, 1/5, 0.29, 0.4 Put 3, 2, -6, -2 in descending order. 3, 2, -2, -6 Put -16, 3, 3/23, -2/3 in ascending order. -16, -2/3, 3/23, 3 Sort -1, -2, -5, 36, 5 in increasing order. -5, -2, -1, 5, 36 Sort -2, -194, 3, 0, -3 in ascending order. -194, -3, -2, 0, 3 Sort 5, -12, 2, 3, 0. -12, 0, 2, 3, 5 Sort 4, 52, -1 in decreasing order. 52, 4, -1 Sort -1/2, 0.115, -9. -9, -1/2, 0.115 Sort 12/11, 2, -2/23, 2/3 in descending order. 2, 12/11, 2/3, -2/23 Sort 5, 15, -3/5, 1/5 in decreasing order. 15, 5, 1/5, -3/5 Sort 27, 1, -2, -1, -19. -19, -2, -1, 1, 27 Sort 4, -2, 5, -5 in decreasing order. 5, 4, -2, -5 Sort -6, -764, -5 in decreasing order. -5, -6, -764 Put 15, 0, 12 in decreasing order. 15, 12, 0 Sort 4, -77, -0.4 in increasing order. -77, -0.4, 4 Sort -5, -0.2, 2317 in ascending order. -5, -0.2, 2317 Sort -1/2, 2/13, 5, -0.17 in increasing order. -1/2, -0.17, 2/13, 5 Sort -4, 36, 0 in decreasing order. 36, 0, -4 Sort -29, -2, -3 in decreasing order. -2, -3, -29 Sort -7/5, 4/7, 0.4, 1/4. -7/5, 1/4, 0.4, 4/7 Sort 0, 2, -8. -8, 0, 2 Sort 4, 1/8, -3, 19 in descending order. 19, 4, 1/8, -3 Sort -10, 6, 0.02, -2/7 in ascending order. -10, -2/7, 0.02, 6 Sort -0.6, -2/31, -3. -3, -0.6, -2/31 Put -0.5, -4.3, 3 in decreasing order. 3, -0.5, -4.3 Sort 0.01, 5, 39, 1/4, -3. -3, 0.01, 1/4, 5, 39 Sort 5, -3, 1/4, 0.8 in ascending order. -3, 1/4, 0.8, 5 Put 3, -32, 0, -4, 2 in decreasing order. 3, 2, 0, -4, -32 Sort -4, 6/11, 0, 5 in decreasing order. 5, 6/11, 0, -4 Put -0.1, 1/3, -56 in decreasing order. 1/3, -0.1, -56 Sort 0.819, 1/2, -0.2 in ascending order. -0.2, 1/2, 0.819 Put -0.3, 0.5, -5, -21 in ascending order. -21, -5, -0.3, 0.5 Put -2, -4, 5, 1, -262 in decreasing order. 5, 1, -2, -4, -262 Put 1, 3, 385, 4 in ascending order. 1, 3, 4, 385 Put -2/11, -5, -0.1, -4, 1/2 in descending order. 1/2, -0.1, -2/11, -4, -5 Sort 3, -6, 11. -6, 3, 11 Put 5, -3, 4, -283 in descending order. 5, 4, -3, -283 Sort 0.45, 0.2, 2, -5, 1/2 in increasing order. -5, 0.2, 0.45, 1/2, 2 Sort 5, 3/2, -4/7, -3, 2/11 in decreasing order. 5, 3/2, 2/11, -4/7, -3 Put 24, -5, 4, -1, -7 in decreasing order. 24, 4, -1, -5, -7 Sort 1/2, 1, 0.1, -0.84 in increasing order. -0.84, 0.1, 1/2, 1 Sort -1, 0, -208. -208, -1, 0 Put -1, -5, 1 in descending order. 1, -1, -5 Put -5, 234, 5 in descending order. 234, 5, -5 Put -4, 4/9, 63, -1/7 in decreasing order. 63, 4/9, -1/7, -4 Sort -1, 3, -12, 5. -12, -1, 3, 5 Sort 65, -4, -3. -4, -3, 65 Sort -8, -9, -2 in descending order. -2, -8, -9 Put -5, -0.3, -1.2, 0.1 in ascending order. -5, -1.2, -0.3, 0.1 Put 0, -4, -3, -2/7 in ascending order. -4, -3, -2/7, 0 Sort 5, -3, -2, -284, 0 in decreasing order. 5, 0, -2, -3, -284 Put -3, 2, 28, 3 in decreasing order. 28, 3, 2, -3 Put 5, -0.2, 1/6, 2/31, -5 in descending order. 5, 1/6, 2/31, -0.2, -5 Sort -1, -4, 15, -9, -3. -9, -4, -3, -1, 15 Put 0, 176, 3, -1 in decreasing order. 176, 3, 0, -1 Sort 5, 1, -55 in descending order. 5, 1, -55 Sort -1, 27, -24 in increasing order. -24, -1, 27 Put 4
{ "pile_set_name": "DM Mathematics" }
. Let b = 9 + -17/2. Factor 0*g + 0 - 3/2*g**4 - b*g**2 + p*g**5 + 3/2*g**3. g**2*(g - 1)**3/2 Let d(q) = 3*q + 4. Let p be d(-5). Let w = p + 13. Factor 0*r**2 - 9 + 6*r - r**w + 0*r**2. -(r - 3)**2 Let s(d) be the second derivative of d**5/360 - d**4/48 + d**3/18 + 21*d**2/2 + 4*d. Let j(h) be the first derivative of s(h). Factor j(t). (t - 2)*(t - 1)/6 Let a(f) = -2*f - 24. Let o be a(-12). Let t(y) be the second derivative of -7*y - 13/16*y**4 + 3/4*y**2 - 11/8*y**3 + o. Suppose t(w) = 0. Calculate w. -1, 2/13 Let s = -463679/180 + 2576. Let m(g) be the third derivative of -s*g**5 + 1/360*g**6 + 0*g + 2*g**2 + 0 + 0*g**3 - 1/36*g**4. Find c, given that m(c) = 0. -1, 0, 2 Determine r, given that -38/3*r**3 + 2*r + 0 - 10/3*r**2 - 22/3*r**4 = 0. -1, 0, 3/11 Let q(a) = -17*a**2 - 24*a + 8. Let g be (-2)/(-4) - 20/8. Let j(m) = 10 - 16*m**2 - 24*m + 0 - 5 + 3. Let i(c) = g*q(c) + 3*j(c). Factor i(t). -2*(t + 2)*(7*t - 2) Let j(f) be the third derivative of f**6/40 - 3*f**5/20 + f**4/4 + f**2 - 9*f. Factor j(t). 3*t*(t - 2)*(t - 1) Suppose 12 = 8*w - 2*w. Let h(d) = 6*d - 10. Let p be h(w). Factor -2*i**4 + 3/2*i**3 - 2*i + 0 + 1/2*i**5 + p*i**2. i*(i - 2)**2*(i - 1)*(i + 1)/2 Let s(n) be the second derivative of -n**8/2520 + n**6/180 - n**5/90 - 7*n**3/3 - 44*n. Let f(r) be the second derivative of s(r). Factor f(u). -2*u*(u - 1)**2*(u + 2)/3 Suppose 4*a - 8 = 4*v - 4, 3*v - 5*a = -5. Let w(i) be the third derivative of 0*i + 4/3*i**3 + v + 9*i**2 + 1/30*i**5 + 5/12*i**4. Find z such that w(z) = 0. -4, -1 Let d(u) be the first derivative of u**4/66 - 2*u**3/11 + 9*u**2/11 + 11*u - 1. Let f(c) be the first derivative of d(c). Let f(y) = 0. Calculate y. 3 Solve -31*n**5 - 18*n**4 + 6*n**3 - 35*n**5 - 81*n + 108*n**2 + 69*n**5 - 162 = 0. -2, -1, 3 Let k = -156 + 156. Let t(h) be the second derivative of 7*h + 1/48*h**4 + 0 + k*h**3 + 0*h**2. Suppose t(y) = 0. What is y? 0 Suppose 0 = 51*t - 52*t + 120. Let a = -116 + t. What is z in 10/3*z**2 - 26/3*z - a = 0? -2/5, 3 Let t = -472 - -476. Factor -4/3*g**3 + 4/3*g - 4/3*g**2 + 0 + 4/3*g**t. 4*g*(g - 1)**2*(g + 1)/3 Let j(x) = 3*x**2 - 11*x - 2. Let u be j(4). Solve 247*d**3 + 40*d - 113*d**3 - 114*d**3 + 108*d**u = 0 for d. -5, -2/5, 0 Let c be ((-4)/3)/(140/(-29760)). Let p = 284 - c. Factor -2/7*o**5 + p*o**2 - 2/7 - 2/7*o - 2/7*o**4 + 4/7*o**3. -2*(o - 1)**2*(o + 1)**3/7 Let r be 2 + 1 - (-1)/((-1)/(-9)). Let q be (8/r + -4)*(-36)/10. What is u in 24 + 21/4*u**5 - q*u**2 + 84*u - 42*u**3 + 3/2*u**4 = 0? -2, -2/7, 2 Let p(d) be the third derivative of -1/120*d**6 + 0*d**3 + 0*d - 26*d**2 + 0 + 1/20*d**5 - 1/12*d**4. Factor p(z). -z*(z - 2)*(z - 1) Let s(q) = 3*q - 34. Let c be s(8). Let w be 1 - (-27)/(-18)*4/c. Factor 2/5 - w*h**3 + 2/5*h**4 - 8/5*h + 12/5*h**2. 2*(h - 1)**4/5 Let m(z) be the third derivative of z**10/226800 - z**9/22680 + z**8/7560 - 17*z**5/30 + 25*z**2. Let b(d) be the third derivative of m(d). Factor b(w). 2*w**2*(w - 2)**2/3 Let y(x) be the third derivative of x**8/56 - 3*x**7/70 - 23*x**6/40 + 3*x**5/5 + x**2 - 26*x. What is m in y(m) = 0? -3, 0, 1/2, 4 Suppose -112 - 92 = -2*b. Let r = b + -407/4. Find d such that 0*d + 1/4*d**4 - 1/4*d**3 + r*d**5 + 0 - 1/4*d**2 = 0. -1, 0, 1 Let o be (15*(-10)/(-600))/((-1)/(-8)). Let 2*s - o*s**3 - 6/5*s**2 - 2/5*s**4 + 8/5 = 0. Calculate s. -4, -1, 1 Suppose 0 = 10*x - 184 - 156. Let b = x - 32. Determine t, given that -3*t**3 + 3*t - 5/4*t**4 + 1/4*t**b + 1 = 0. -2, -1, -2/5, 1 Let x(w) be the third derivative of -w**6/480 + w**5/16 - 9*w**4/32 + 13*w**3/24 + w**2 + 27. Factor x(h). -(h - 13)*(h - 1)**2/4 Let t be ((-6)/(-24))/((-7)/(-8)). Let a = -13282/7 + 1898. What is r in 4/7*r**2 - t*r**5 + 2/7*r + 0*r**3 + 0 - a*r**4 = 0? -1, 0, 1 Suppose 0 = -3*k + 4*g - 2*g + 16, 5*k - 27 = 3*g. Let s be (-28)/(-12) - k/(-9). Let -4*x**s - 3*x + 3*x**2 + 6*x - 3 + 5*x**3 - 4*x**3 = 0. What is x? -1, 1 Let r(j) be the first derivative of j**8/336 + j**7/70 + j**6/40 + j**5/60 - 7*j**2/2 + 11. Let q(t) be the second derivative of r(t). Factor q(c). c**2*(c + 1)**3 Let p be (1757/35)/((-1)/(-5)). Suppose p = 8*a - 7*a. Solve 619*n**4 - 5*n + 13*n + 39*n**5 - 120*n**3 - 12*n**2 - a*n**4 - 327*n**5 = 0 for n. -2/9, 0, 1/2 Let l(s) be the third derivative of s**7/462 - s**6/110 - 7*s**5/220 + 5*s**4/33 - 2*s**3/11 - 71*s**2. What is b in l(b) = 0? -2, 2/5, 1, 3 Let b(j) be the second derivative of 1/9*j**3 - 1/30*j**5 - 11*j + 1/9*j**2 - 1/54*j**4 + 0. Factor b(a). -2*(a - 1)*(a + 1)*(3*a + 1)/9 Let u(a) be the first derivative of 128/5*a + 16/5*a**2 + 20 + 2/15*a**3. Find v, given that u(v) = 0. -8 Let t(c) be the second derivative of 1/48*c**4 - 1/3*c**3 + 2*c**2 - 40*c + 0. Find i such that t(i) = 0. 4 Let n(i) = -i**4 - i - 3. Suppose 2 = 2*r + 8. Let o(x) = 2*x**4 - x**2 + x + 5. Let j(z) = r*o(z) - 5*n(z). Suppose j(f) = 0. What is f? -1, 0, 2 Let s(d) be the first derivative of d**3/6 - 15*d**2/2 + 28*d - 299. Find r such that s(r) = 0. 2, 28 Let c(j) be the third derivative of 27*j**8/112 - 12*j**7/7 + 25*j**6/8 - j**5 - 3*j**4/2 - 4*j**2 + 2*j. Find a, given that c(a) = 0. -2/9, 0, 2/3, 1, 3 Let 48*k**2 - 110*k**2 + 58*k**2 + 108 + 104*k = 0. What is k? -1, 27 Let h(n) be the second derivative of n**5/120 + n**4/8 - 7*n**3/12 - 18*n**2 - 19*n. Let k(a) be the first derivative of h(a). Determine r, given that k(r) = 0. -7, 1 Let k be 108/(-20)*10/(-24). Suppose -3/2*g + 3/4*g**4 + 0 - k*g**2 + 0*g**3 = 0. What is g? -1, 0, 2 Let n(l) be the third derivative of l**8/1344 + 3*l**7/280 + 19*l**6/480 + l**5/80 - 5*l**4/24 - l**3/2 + 4*l**2 + 16. Let n(y) = 0. Calculate y. -6, -2, -1, 1 Let v = -40 + 46. Let d be v*3*1/6. Determine k, given that -1/2*k**2 + 0 - 1/4*k**d - 1/4*k = 0. -1, 0 Let p be (-720)/768*(-244)/27 - (-2)/(-9). Factor 3/2*w**3 - 3/4*w**4 - 9*w + p*w**2 - 27. -3*(w - 3)**2*(w + 2)**2/4 Let x(c) = 3*c**3 + 80*c**2 + 300*c + 304. Let f(y) = 3*y**3 + 81*y**2 + 300*y + 300. Let o(p) = 4*f(p) - 3*x(p). Factor o(g). 3*(g + 2)**2*(g + 24) Factor 336/5 + 528/5*d + 288/5*d**2 + 3/5*d**4 + 12*d**3. 3*(d + 2)**3*(d + 14)/5 Let f(l) be the first derivative of l**8/5040 - l**7/630 - 10*l**3/3 + 26. Let i(y) be the third derivative of f(y). Factor i(x). x**3*(x - 4)/3 Suppose -a + 35 = 5*w, -w - 3*a - 1 + 8 = 0. Suppose -k + 2 = -2*b + 4*b, -5*b + 5*k + 20 = 0. Suppose 2*x**b + 11 + 40*x - 52*x + w = 0. Calculate x. 3 Let f(h) be the first derivative of 2*h**3/21 + 6*h**2/7 + 10*h/7 + 48. Determine z, given that f(z) = 0. -5, -1 Let w(n) be the second derivative of -n**6/180 + n**5/90 + 7*n**2/2 - 14*n. Let b(j) be the first derivative of w(j). Factor b(s). -2*s**2*(s - 1)/3 Let j(k) be the second derivative of k**4/6 - 20*k**3/3 - 21*k**2 + 260*k. Factor j(x). 2*(x - 21)*(x + 1) Let r(g) be the second derivative of -g**7/28 + g**6/5 - 7*g**5/15 + 7*g**4/12 - 5*g**3/12 + g**2/6 - 10*g - 4. Let r(f) = 0. What is f? 1/3, 2/3, 1 Suppose 2*j**2 - 11 - 84 - 18*j + 0*j**2 + 23 = 0. Calculate j. -3, 12 Let j(l) be the third derivative of 14*l**2 + 0*l + 0*l**4 - 2/15*l**5 + 0 + 0*l**3 + 1/30*l**6. Find s, given that j(s) = 0. 0, 2 Let -37*a**2 - 2*a**3 - 68*a**2 - 180 + 26*a + 2*a**3 + 254*a + 5*a**3 = 0. Calculate a. 1, 2, 18 Let f(m) = 32*m - 19. Let h be f(7). Let y be -3 + 1/2 + h/50. Factor -y*i + 0 - 4/5*i**2. -4*i*(i + 2)/5 Let t(m) = -m**2 - 1090*m - 59405. Let v(d) = -d**2 - 3270*d - 178215. Let z(w) = 7*t(w) - 2*v(w). Factor z(n). -5*(n + 109)**2 Let l(d) be the third derivative of -d**5/120 - 11*d**4/3 - 1936*d**3/3 + 332*d**2. Factor l(g). -(g + 88)**2/2 Let r(y) be the second derivative of 7/24*y**3 + 0 + 1/120*y**6 + 3/16*y**4 + 18*y + 1/16*y**5 + 1/4*y**2. Suppose r(h) = 0. Calculate h. -2, -1 Let v be ((-344)/(-60) - 6)/((-52)/12 - -4). Factor -v*h**2 + 8/5*h + 0. -4*h*(h - 2)/5 Let l(d) be the first derivative of -d**6/24 + 7*d**5/20 - d**4 + d**3 - 95. Suppose l(q) = 0. What is q? 0, 2, 3 Let c(j) be the first derivative of 4/3*j**3 + 1/3*j**4 + 3*j + 6 + 2*j**2. Let w(r) be the first derivative of c(r). Determine q, given that w(q) = 0. -1 Factor 212/7 - 102/7*v - 2/7*v**2. -2*(v - 2)*(v + 53)/7 Determine i so that -96/7*i - 514/7*i**2 - 81/7*i**4 - 5/7 - 72*i**3 = 0. -5, -1, -1/9 Let k(y) be the first derivative of y**5/
{ "pile_set_name": "DM Mathematics" }
et h(z) = -z**3 - 24*z**2 - 24*z - 3. Let r be h(-23). Differentiate 38*w**3 + 4*w**2 + r - 5*w**2 + w**2 wrt w. 114*w**2 Suppose 2*f - 41 - 21 = 0. What is the second derivative of -3*j + 63 - f*j**3 + 0*j - 34 - 31 wrt j? -186*j Let c(b) be the third derivative of -8*b**7/105 + b**4/12 + 46*b**3/3 - 8*b**2 + 5*b. Find the first derivative of c(f) wrt f. -64*f**3 + 2 What is the first derivative of -41*l**4 + 6*l**4 - 32*l**4 - 29*l**4 - 62 wrt l? -384*l**3 Suppose 4*z - 4 = 3*w + 2*z, 2*w + 3*z - 19 = 0. What is the second derivative of -17*g**2 + 6 + 7*g - w*g**2 - 6 wrt g? -38 What is the second derivative of -41*r**4 - 36 + 18 + 21*r + 17 wrt r? -492*r**2 Suppose -4*i + 5*i = 3*k, -3*k = 4*i - 15. Let n be (1*-9)/(-3) - 1. Find the second derivative of -v - 6*v**n - k + 1 wrt v. -12 Suppose -2*u = 4*q - 98 - 0, -12 = 4*u. Let i(k) be the first derivative of -27*k**4 + 3 + q*k**4 + k**2 + 0. What is the second derivative of i(d) wrt d? -24*d Let l(q) be the third derivative of -41*q**5/5 - 23*q**4/6 - 172*q**2. What is the second derivative of l(g) wrt g? -984 Let y(i) be the third derivative of 0*i**3 + 0*i**5 - 1/2*i**4 - 4/35*i**7 + 0*i**6 + 0 + 18*i**2 + 0*i. Find the second derivative of y(k) wrt k. -288*k**2 Find the second derivative of -2*x + 132*x**3 - 15*x**2 + 125*x**3 - 259*x**3 - 64*x wrt x. -12*x - 30 Differentiate 6*k**2 - 465 + 94 - 7*k + 161 with respect to k. 12*k - 7 Find the second derivative of 41*a**5 + 1 - 6*a**3 - 5*a**3 + 17*a - 12*a**5 + 14*a**3 wrt a. 580*a**3 + 18*a Find the third derivative of m**6 - 44*m**2 - 191*m**5 + 3*m**6 - 6*m**6 - 1 - 4*m**5 + 46*m**2 wrt m. -240*m**3 - 11700*m**2 What is the derivative of 7 - 122 - 5 + 2 - 17 + 313*b wrt b? 313 Let f(i) be the second derivative of -2*i**7/3 - 3*i**5/5 + 55*i**4/12 + 374*i. Find the third derivative of f(p) wrt p. -1680*p**2 - 72 Find the second derivative of 173*a**3 + 301*a - 159*a**3 + 4*a**2 + 2*a**2 - 1 wrt a. 84*a + 12 Let h(s) = -2*s**2 + 4*s. Let w(u) = -374*u**2 + 47*u - 6. Let n(p) = -4*h(p) + w(p). What is the second derivative of n(d) wrt d? -732 Let c(r) be the second derivative of 5/6*r**4 + 0*r**3 + 0 + 0*r**2 + 2*r + 1/2*r**5. Find the third derivative of c(m) wrt m. 60 Suppose 4*g - 18 = -2*q, q = -0*q - 1. What is the second derivative of 0*a**5 - a**5 - a + 4*a**g + 3*a wrt a? 60*a**3 Let u(l) = -102*l**2 + l - 156. Let p(n) = n - 3. Let r(w) = -p(w) + u(w). Differentiate r(b) with respect to b. -204*b Let m(p) be the second derivative of -3*p**5/2 - p**4/4 - 31*p**2/2 - 4*p + 17. Find the third derivative of m(q) wrt q. -180 Let z(w) be the first derivative of 33*w**5/5 - w**4 + 149*w**3/3 - w + 299. Find the third derivative of z(v) wrt v. 792*v - 24 Suppose 0 = u - 2, -3*f + 112 = 2*f + u. Find the first derivative of 5*k - 3*k + 6 - f*k wrt k. -20 Find the first derivative of 31 + 79 - 78 - 47*c**2 - 68*c**2 wrt c. -230*c Let q(g) = -g**2 + 16*g + 5. Let a be q(16). Suppose 2 = a*z - 4*z. What is the second derivative of 2*i**2 - 3*i**z + 2*i - i + 2*i**2 wrt i? 2 Let r(u) = 7*u**3 + 10*u**2 + 2. Let t(y) = 6*y**3 + 9*y**2 + 2. Let c(o) = -5*r(o) + 6*t(o). Let h be c(-4). Differentiate 2 - 5 + 7*p**h - 2*p**2 + 7 wrt p. 10*p Suppose 0*w + 2 = 2*w, 27 = 4*z - 5*w. Let k(t) = t**2 - 8*t + 5. Let h be k(z). What is the third derivative of 10*c**2 + 4*c**6 - 12*c**2 - h*c**6 wrt c? -120*c**3 Let k(b) be the first derivative of 215*b**4/4 + b**3/3 - b**2/2 + 4*b + 46. Find the second derivative of k(f) wrt f. 1290*f + 2 Let i = -113/2 + 567/10. Let n(j) be the first derivative of 5 + 0*j**4 + 0*j**3 + 2*j**2 + 0*j - i*j**5. What is the second derivative of n(d) wrt d? -12*d**2 Suppose 0 = -6*b - 2*b + 24. Find the second derivative of -b*q**3 - 3*q - 9*q - 11*q**3 wrt q. -84*q Find the third derivative of 35*j**2 - 2*j + 57*j**2 - 33*j**2 - 59*j**4 wrt j. -1416*j Let l(r) be the third derivative of 5/3*r**3 + 1/30*r**5 + 0 - 6*r**2 + 0*r + 0*r**4. What is the first derivative of l(n) wrt n? 4*n Let s(p) be the second derivative of p**7/42 - 113*p**5/20 - 37*p**4/12 - 56*p. What is the third derivative of s(a) wrt a? 60*a**2 - 678 Let u(z) be the second derivative of z**7/210 - 10*z**3/3 + z**2/2 + 15*z. Let h(l) be the first derivative of u(l). Differentiate h(y) wrt y. 4*y**3 Let k(m) = 341*m**2 + 219*m - 2. Let n(d) = -681*d**2 - 438*d + 4. Let l(f) = -13*k(f) - 6*n(f). What is the second derivative of l(q) wrt q? -694 What is the second derivative of -2*y + 10*y**3 + 19950*y**2 - 19950*y**2 - 15 wrt y? 60*y Let x(j) = 91*j**2 - 12*j - 101. Let h(d) = -d**2 + 2*d - 1. Let y(c) = -6*h(c) - x(c). Differentiate y(l) with respect to l. -170*l Let o(f) be the first derivative of -11*f**4/6 + 19*f**3/6 + 10*f - 19. Let s(a) be the first derivative of o(a). What is the second derivative of s(p) wrt p? -44 Let t(a) be the second derivative of -a**8/240 - a**4/4 + 3*a**3 + 24*a. Let h(m) be the second derivative of t(m). What is the first derivative of h(z) wrt z? -28*z**3 Let w(m) be the second derivative of 0*m**6 + 43*m + 0 + 0*m**5 + 11/56*m**8 - 17/12*m**4 + 0*m**3 + 0*m**2 + 0*m**7. Find the third derivative of w(z) wrt z. 1320*z**3 Let n(t) be the first derivative of -47*t**8/1680 - t**4/8 - 13*t**3 - 10. Let w(f) be the third derivative of n(f). What is the derivative of w(h) wrt h? -188*h**3 Let c(v) be the second derivative of -7*v**6/120 + v**5/60 + 4*v**2 + 8*v. Let m(u) be the first derivative of c(u). Find the third derivative of m(i) wrt i. -42 Let p(m) be the third derivative of -39*m**6/40 - 59*m**3/6 + 76*m**2. What is the first derivative of p(u) wrt u? -351*u**2 Let f(w) be the second derivative of 5*w**4/2 + 34*w**2 - w - 1. Find the first derivative of f(r) wrt r. 60*r Let u be 2/(-3)*(-60)/8. Find the second derivative of u*b - 4*b**4 - b**4 + 5*b**4 - 7*b**5 wrt b. -140*b**3 Let p(c) = 17*c**2 - 1. Let n(g) = g**2 + g - 1. Let m be n(1). Let b be p(m). Find the second derivative of -16 + b - 5*v**2 + 4*v wrt v. -10 Let p(j) be the third derivative of -127*j**4/24 - 16*j**3/3 - j**2 + 1. What is the derivative of p(y) wrt y? -127 Let j be ((-10)/2 - -4) + 5. Find the first derivative of -17*k + j*k + k - 9 wrt k. -12 Let y(q) = -209*q + 221. Let o be (5 - 10/(-5))*(-2)/7. Let g(f) = -52*f + 55. Let l(c) = o*y(c) + 9*g(c). What is the first derivative of l(a) wrt a? -50 Let c be (2 - 4) + 6 + -2. Suppose -4*d + 20 = -4*l, 2*d = d + 4*l + c. What is the third derivative of 0*q**2 + 0*q**5 + d*q**2 - q**5 wrt q? -60*q**2 Suppose -151 = -3*z + 2*f - 13, 3*f + 229 = 5*z. What is the first derivative of 4 - z + 4*a + 15 wrt a? 4 Let n(p) be the first derivative of -2*p**5/5 + 16*p**3/3 + 364*p - 578. Differentiate n(w) with respect to w. -8*w**3 + 32*w What is the third derivative of -20*b**5 + 6 + 42*b**5 + 21*b**2 + 8*b**2 - 20*b**5 - 28*b**3 wrt b? 120*b**2 - 168 Let s = -299 - -303. Let j(u) be the first derivative of s*u + 2/5*u**5 + 0*u**2 + 6 + 0*u**3 + 0*u**4. Differentiate j(d) with respect to d. 8*d**3 Let h(g) = -g + 1. Let v be ((-18)/(-4))/((-27)/36). Let f be h(v). What is the second derivative of -7*r**2 + f*r**2 - 3*r**3 + 3*r wrt r? -18*r Let s = -945 + 950. Let n(r) be the third derivative of 0 + 0*r**3 + 13/60*r**s + 0*r + 0*r**4 - 5*r**2 + 3/40*r**6. Find the third derivative of n(l) wrt l. 54 Let v = 486 + -965/2. Let c(x) be the first derivative of 0*x**3 + 0*x + v*x**2 - 7 - 1/2*x**4. Find the second derivative of c(o) wrt o. -12*o Differentiate -10*w - 34 - 25 + 7 + 28*w**2 wrt w. 56*w - 10 Let k = 823 - 813. Let v = 4 - 2. What is the derivative of 5*d - v*d + 2*d - d + k wrt d? 4 Suppose 0 = -11*t + 141 + 211. Find the third derivative of 1694 - 1694 - 7*y**3 + t*y**2 wrt y. -42 Let d(t) be the second derivative of 3*t**6 + 13*t**4/3 - t - 36. What is the third derivative of d(y) wrt y? 2160*y Let p be 4 - 3*24/(-9). Let x = 14 - p. What is the second derivative of -38*w - 6*w**4 + 3*w**x + 37*w - 3*w**2 wrt w? -72*w**2 Let n(q) be the second derivative of -7*q**6/30 + 2*q**4/3 + q**3/6 + 3*q**2/2 - 29*q - 1. Find the second derivative of n(o) wrt o. -84*o**2 + 16 Let f(b) = b**4 + b**2 - b - 2. Let i(p) = -10*p**4 - 7*p**2 + 7*p + 24. Let a(h) = 28*f(h) + 4*i(h). Find the first derivative of a(
{ "pile_set_name": "DM Mathematics" }
he prime factors of 7779595? 5, 1555919 List the prime factors of 2434364529. 3, 811454843 What are the prime factors of 56286238? 2, 509, 55291 List the prime factors of 11413327. 29, 103, 3821 What are the prime factors of 1792382963? 7, 1877, 136417 List the prime factors of 14415214. 2, 11, 59567 What are the prime factors of 307465301? 11, 13, 37, 58111 List the prime factors of 197928961. 23, 8605607 What are the prime factors of 84685908? 2, 3, 17, 23, 18049 What are the prime factors of 69133545? 3, 5, 13, 59, 2003 List the prime factors of 161166983. 461, 349603 What are the prime factors of 25763855? 5, 13, 127, 3121 List the prime factors of 186247866. 2, 3, 7, 4434473 List the prime factors of 2330942988. 2, 3, 11, 41, 430699 List the prime factors of 16843575. 3, 5, 7, 32083 List the prime factors of 90954825. 3, 5, 13, 93287 What are the prime factors of 270765062? 2, 23, 2011, 2927 What are the prime factors of 2981796269? 29, 102820561 List the prime factors of 1040892099. 3, 13, 17, 29, 43, 1259 List the prime factors of 160494065. 5, 32098813 What are the prime factors of 641127585? 3, 5, 7, 31, 431, 457 List the prime factors of 200638315. 5, 23, 307, 5683 List the prime factors of 2999090742. 2, 3, 61, 8194237 List the prime factors of 375666659. 23, 2333, 7001 List the prime factors of 2682703. 29, 92507 What are the prime factors of 64352838? 2, 3, 11, 31, 71, 443 List the prime factors of 252961211. 252961211 What are the prime factors of 122350415? 5, 11, 2224553 List the prime factors of 26671913. 26671913 What are the prime factors of 1304660190? 2, 3, 5, 53, 820541 What are the prime factors of 22665669? 3, 13, 581171 List the prime factors of 68051281. 68051281 List the prime factors of 6860479157. 7, 71, 739, 18679 List the prime factors of 270082994. 2, 269, 502013 List the prime factors of 1093697887. 31, 35280577 What are the prime factors of 584641148? 2, 7, 13, 59, 3889 List the prime factors of 208715504. 2, 173, 75403 List the prime factors of 52488700. 2, 5, 11, 47717 List the prime factors of 468391921. 468391921 What are the prime factors of 100871368? 2, 13, 74609 List the prime factors of 140766188. 2, 17, 2070091 What are the prime factors of 208163231? 7741, 26891 List the prime factors of 1074125607. 3, 101, 3544969 List the prime factors of 600959709. 3, 7, 23, 138247 List the prime factors of 4409439. 3, 641, 2293 List the prime factors of 79616. 2, 311 What are the prime factors of 1530467453? 6491, 235783 List the prime factors of 419374496. 2, 17, 770909 List the prime factors of 20661756. 2, 3, 313, 5501 List the prime factors of 952839527. 952839527 List the prime factors of 1211729804. 2, 677, 447463 List the prime factors of 1690747529. 17, 227, 438131 List the prime factors of 47530240. 2, 5, 71, 523 What are the prime factors of 85968271? 101, 851171 What are the prime factors of 19340857? 89, 217313 What are the prime factors of 53531759? 17, 19, 9749 What are the prime factors of 3521184018? 2, 3, 11, 53351273 What are the prime factors of 141739584? 2, 3, 7, 163, 647 What are the prime factors of 31136350? 2, 5, 7, 17, 5233 What are the prime factors of 530359381? 73, 421, 17257 What are the prime factors of 42438090? 2, 3, 5, 139, 10177 List the prime factors of 734898325. 5, 7, 113, 5309 What are the prime factors of 319761390? 2, 3, 5, 13, 61, 13441 What are the prime factors of 75784797? 3, 11, 765503 What are the prime factors of 60953637? 3, 1187, 17117 List the prime factors of 545321540. 2, 5, 37, 736921 List the prime factors of 3433800. 2, 3, 5, 59, 97 List the prime factors of 488415972. 2, 3, 11, 1321, 2801 What are the prime factors of 3564221577? 3, 7, 169724837 List the prime factors of 3539232321. 3, 67, 797, 22093 List the prime factors of 3356450299. 1579, 2125681 List the prime factors of 5994516541. 13, 211, 2185387 List the prime factors of 395355228. 2, 3, 83, 396943 List the prime factors of 17393728. 2, 11, 31, 797 List the prime factors of 11301543. 3, 11, 114157 List the prime factors of 68728914. 2, 3, 503, 7591 What are the prime factors of 69222911? 69222911 What are the prime factors of 476210769? 3, 29, 5473687 List the prime factors of 50034805. 5, 107, 93523 What are the prime factors of 511158601? 17, 23, 1307311 What are the prime factors of 826555123? 826555123 List the prime factors of 783469880. 2, 5, 19586747 List the prime factors of 3000583. 31, 43, 2251 List the prime factors of 1106113737. 3, 29, 12713951 What are the prime factors of 223431234? 2, 3, 13, 37, 77419 List the prime factors of 25380819. 3, 61, 83, 557 List the prime factors of 880940147. 233, 317, 11927 List the prime factors of 269194488. 2, 3, 251, 44687 What are the prime factors of 1450926284? 2, 47, 283, 27271 What are the prime factors of 594562473? 3, 66062497 What are the prime factors of 85946445? 3, 5, 13, 146917 What are the prime factors of 119957481? 3, 7, 1904087 List the prime factors of 140609062. 2, 11, 6391321 List the prime factors of 459486261. 3, 13, 43, 91331 List the prime factors of 792822083. 1567, 505949 What are the prime factors of 239965783? 113, 257, 8263 What are the prime factors of 31774377? 3, 17, 43, 14489 What are the prime factors of 458807564? 2, 31, 347, 10663 What are the prime factors of 9787233? 3, 41, 47, 1693 List the prime factors of 1351998745. 5, 6361, 42509 What are the prime factors of 258009686? 2, 11, 11727713 What are the prime factors of 85344183? 3, 9482687 What are the prime factors of 116435319? 3, 7, 11, 13, 29, 191 What are the prime factors of 4725857? 31, 157, 971 List the prime factors of 1662822495. 3, 5, 163, 226697 What are the prime factors of 56278365? 3, 5, 11, 13, 26237 List the prime factors of 1405955986. 2, 463, 1518311 What are the prime factors of 16509244? 2, 17, 107, 2269 What are the prime factors of 2285985812? 2, 11, 47, 271, 4079 List the prime factors of 506392559. 283, 1789373 What are the prime factors of 47993329? 17, 37, 41, 1861 List the prime factors of 207146609. 37, 43, 130199 List the prime factors of 964981568. 2, 15077837 List the prime factors of 883624345. 5, 29, 61, 99901 What are the prime factors of 817749296? 2, 7, 13, 53, 10597 What are the prime factors of 200706914? 2, 521, 192617 List the prime factors of 726919913. 6311, 115183 List the prime factors of 2815589073. 3, 11, 1301, 65581 What are the prime factors of 1010824165? 5, 13, 17, 131, 6983 List the prime factors of 2253312055. 5, 450662411 List the prime factors of 4199290970. 2, 5, 7, 107, 560653 List the prime factors of 96980552. 2, 37, 47, 6971 What are the prime factors of 2537307396? 2, 3, 13, 1807199 List the prime factors of 19886583. 3, 17, 149, 2617 List the prime factors of 244597310. 2, 5, 29, 617, 1367 What are the prime factors of 3498822252? 2, 3, 7883, 12329 List the prime factors of 794308361. 7, 11, 10315693 What are the prime factors of 1741451068? 2, 7, 62194681 What are the prime factors of 4144612? 2, 1036153 List the prime factors of 304918982. 2, 137, 179, 6217 List the prime factors of 376329633. 3, 719, 174469 List the prime factors of 59097387. 3, 179, 110051 What are the prime factors of 231411919? 231411919 What are the prime factors of 30061080? 2, 3, 5, 7, 79, 151 What are the prime factors of 49549595? 5, 421, 23539 List the prime factors of 11696366. 2, 11, 37, 14369 What are the prime factors of 96315285? 3, 5, 11, 17, 34337 List the prime factors of 2113979022. 2, 3, 117443279 What are the prime factors of 49649306? 2, 7, 71, 199, 251 What are the prime factors of 26545757? 7, 3792251 List the prime factors of 4295555239. 59, 5441, 13381 What are the prime factors of 3818840944? 2, 271, 880729 What are the prime factors of 140392944? 2, 3, 29, 33619 List the prime factors of 59886720. 2, 3, 5, 37, 281 List the prime factors of 589716670. 2, 5, 89, 149, 4447 What are the prime factors of 1383087847? 31, 47, 83, 11437 List the prime factors of 1775293150. 2, 5, 35505863 What are the prime factors of 109229075? 5, 4369163 List the prime factors of 2914212195. 3, 5, 31, 73, 9539 What are the prime factors of 290147698? 2, 73, 1987313 What are the prime factors of 1631527513? 7, 11, 79, 268
{ "pile_set_name": "DM Mathematics" }
o 3/8? True Let w(d) = -d**3 - 5*d**2 - 4*d - 4. Let j be w(-4). Suppose -584*x = -585*x + 42. Let g be x/63 - 8/(-6). Do j and g have the same value? False Let b be (-3412)/(-7677) + ((-5)/(-9) - 0). Do 3/6761 and b have the same value? False Let b(z) = z**3 + 4*z**2 + 3*z + 2. Let g be b(-3). Suppose -13*r = -2557 + 2531. Suppose 0 = 3*d - n + 67, r*d = -g*d + n - 89. Is d at most -20? True Suppose 2 = r + 80*l - 85*l, l = 5*r + 134. Let n be 1 + -3 - (-84)/2. Suppose -5*t - n = 105. Is r < t? False Let w = -44901/146 + 615/2. Let v(r) = -r**2 + 8*r - 6. Let s be v(1). Are w and s equal? False Let a = 16907 + -16906.19. Which is smaller: -3/137 or a? -3/137 Let k be (-12)/(-66) - (-246)/(-1474). Let g(r) = -r**3 - 2*r**2 - 1. Let s(c) = c**2 + 3*c - 6. Let d be s(-4). Let i be g(d). Is k at least i? True Let p = -260 - -263. Let z be 310*p*(-5 + (-96)/(-18)). Which is smaller: z or 311? z Let g be 21*(-8)/12 + (2 - (-24)/(-4)). Is -155/8 greater than g? False Let o(z) = -z**2 + 6*z + 5. Let p be o(6). Let x(l) = -l**3 + l**2 + l + 13. Let n be x(0). Let b = n - 8. Is b at least p? True Let b = 47 - 109. Let x = b - -90. Let t(h) = -h**2 + 27*h + 28. Let v be t(x). Is 0.07 at most v? False Let u = 1.34 + -1.4. Let r = 52.359 + -1.059. Let g = -51 + r. Which is smaller: u or g? u Let h = 107621 + -433051/4. Which is smaller: h or -642? -642 Suppose 0 = -2*y + v + 7, 0*y - 4*v = -y. Let s be y/12 + 9/(54/4). Which is smaller: s or -7/16? -7/16 Let h = -5258 + 5258.062. Which is smaller: h or 0? 0 Suppose -3 = c - 4*c. Let s = 73254 + -2417354/33. Which is greater: c or s? c Let b be 3 + (-36)/(-6) + -4. Let g be 17*(-1)/22 - b/(-10). Let z be 1/3 - 4/(-6). Which is smaller: g or z? g Let j = 2314 - 275372/119. Suppose 0 = -219*d + 206*d - 13. Which is smaller: d or j? d Let f be 112/(-12)*738/(-8). Is f at least 860? True Let x = 63.53 + -18.53. Which is bigger: 1/38 or x? x Let a = -566.9172 + 567. Do a and 2 have the same value? False Let g be 2176/(-8) - -2 - (-11 + 3). Which is smaller: g or -280? -280 Let m(p) = 89*p - 8987. Let d be m(101). Let s = 53.6 - -9.4. Which is greater: s or d? s Let u be (4/2)/((-156)/(-109551)). Is u equal to 1406? False Let p = -46.2895 - 0.1605. Let a = p + 46. Let r = a - 0.55. Which is smaller: r or 10? r Let s = 93 - -15. Suppose 18*z + s = 15*z. Is z greater than or equal to -35? False Suppose 2*q - 3 = -1. Let m = 190229/253 - 8234/11. Let h = -2456/713 + m. Is q less than or equal to h? False Let j(w) = w**3 + 6*w**2 - 15*w + 5. Let x be j(-8). Let c be -33*(-3 + (5 - (4 + x))). Is -33 bigger than c? False Let c = -0.285 + 157.285. Let z = c - 128. Are -2/5 and z unequal? True Let c(n) = -n**3 + 11*n**2 + 30*n - 53. Suppose -80 = -5*u + 3*v, -8*u + 62 = -4*u - 2*v. Let f be c(u). Which is greater: 2/633 or f? 2/633 Let y(v) = -2*v**2 - 3*v + 17. Let t be y(7). Let g be 4*(3 + t/36). Which is greater: g or 0.61? g Let q = 19/326 + 557/1630. Which is greater: q or -193.4? q Let w(p) = 360*p - 12272. Let c be w(34). Let j be (4*-1)/((-4)/(-30)). Which is smaller: c or j? c Let y be -2*(-6 + 3) - (-45 + 3593). Which is greater: y or -3541? -3541 Let j be 409 + -412 + -1 + 7. Let q = 1.78 + -2.55. Is j less than or equal to q? False Let u(s) = 5044*s**3 - 36*s**2 - 35*s + 3. Let t be u(-1). Do -5043 and t have the same value? False Suppose -181*v = -94*v - 91*v. Is -7/737 < v? True Let s(d) = 4*d**2 + 51*d - 409. Let c be s(-18). Which is smaller: c or -0.91? c Suppose -2*k - 4*w = -10, -2*k + 3*k + 5*w + 1 = 0. Let f be 6/(-15) - (0 - 930/75). Which is greater: f or k? f Let f = 8.23 - 8. Let d = f + 59.77. Let r = d - 60.9. Which is smaller: 3 or r? r Let o = 0.01586 - 0.21586. Is o greater than -3927? True Let j = -158 - -308. Suppose 4*g = 2*m - 302, 0 = 476*m - 471*m - g - 746. Which is bigger: j or m? j Let m be (-6 - -3 - 11)/((-38)/(-608)). Is m less than -227? False Let l = -88 - -82. Let q = -59 + 61. Suppose -s + 0*p = 4*p - 14, q*s - 16 = -5*p. Which is bigger: l or s? s Let u = 9566 - 9409. Which is bigger: 154 or u? u Suppose -14*i = -5*i + 3321. Let d be ((-6)/i)/(5/(-90)*2). Which is smaller: d or 0? d Let b = -30960 - -30216. Which is bigger: -752 or b? b Suppose 0 = 10*q - 14*q - 780. Let l be (4/(-3))/((-5)/(q/(-494))). Let a(r) = -r**2 + r + 1. Let m be a(0). Does l = m? False Let d be -2 - ((-1740)/105 + 23 + (-3)/7). Which is smaller: d or -374/47? d Let c(i) = 3*i - 1. Let n be c(1). Let y be (12/9)/4 + 850/(-66). Let o = y - -144/11. Which is smaller: o or n? o Let t(b) = -6*b - 15. Let q be t(-13). Suppose 6*d - q = -3*d. Suppose d*u - 2*u = 4*v - 84, -12 = -3*u. Are v and 27 nonequal? True Suppose -4*r - 544 = -3*v, -4*v + 272 = -2*r - 5*v. Let a = -883 + 747. Are r and a non-equal? False Let j = -16 + 37. Which is bigger: j or 2/11? j Let t = -485 - -2413/5. Let v(m) = 9 + 15*m**2 - 21*m**2 + 14*m**2 + 41*m + m**3 + 6*m**2. Let o be v(-10). Which is bigger: o or t? o Suppose 4*c - 16 = 0, -320*t + 321*t = -c + 849. Is 845 smaller than t? False Let a(t) = -3*t + 17. Let j be a(4). Suppose -j*i + m + 14 = 0, -20 = -3*i - i + 3*m. Suppose 6 + 0 = -i*l. Does 0.2 = l? False Let q(f) = f**3 - 5*f**2 + f - 5. Let g be q(5). Let k = 1167 + -1105. Does k = g? False Let b = -220 - -220. Let n = 13 - 22. Let a be -2 - (-15)/n*-4. Are a and b equal? False Let p be (-2)/((-2)/2 - -98). Let v(b) = -639 + 39*b + 1269 + 38*b**2 - 629 - b**3. Let c be v(39). Is p greater than c? False Let z = 0.08825 + 0.01175. Which is smaller: z or -733? -733 Let m = -44892 - -44906. Let p be (-2)/5 + (-28)/(-20). Suppose 0 = 3*j - 2*j + 3*w - 22, -p = -j + 4*w. Is j greater than or equal to m? False Let w = -5 - 20. Let q = 174186 - 174211. Are w and q non-equal? False Let l(m) = m**3 - 13*m**2 - 113*m + 765. Let q be l(17). Which is smaller: q or -2/133? -2/133 Let x be 17136/8784 - (1 + 1). Let i(g) = -g**2 + 6*g - 1. Let z be i(6). Are z and x non-equal? True Suppose -15*b + 6*b = -1170. Which is smaller: b or 128? 128 Suppose -5*o - 41 - 67 = -m, -2*m + 243 = -o. Let s = 124 - m. Let b be ((-2)/(-30))/(14/6). Which is smaller: s or b? b Let l be 5 - -4359 - (4 + (-1 - 4)). Let o be (-1649)/l + 1/(-15). Is o equal to 11? False Let t be (-9)/(-17)*696/(-72) + 4 + 1. Is -4 equal to t? False Suppose -5*l = -h - 179, -3*l - 2*l - h + 181 = 0. Let q(t) = 461*t + 16173. Let o be q(-35). Which is smaller: l or o? l Let t(b) = 45*b + 21. Let z be t(-8). Let k = z - -317. Which is smaller: -116/5 or k? -116/5 Let o(z) = 26*z - 620. Let g be o(8). Are -418 and g equal? False Suppose -4*v - 2 = 2. Let p(y) = -292*y - 21026. Let g be p(-72). Which is smaller: v or g? g Let o(f) = -3*f**2 + 3*f + 3. Let v be o(6). Let b(x) = -2*x**3 - 155*x**2 + 240*x + 151. Let r be b(-79). Which is greater: v or r? r Let s(m) = 243 - 3*m - 248 - 3*m**2 + 4*m**2. Let a be s(3). Let y be -16*a/(-5) - 4. Is -19 at most as big as y? False Let q(s) = -90*s + 3286. Let x be q(45). Is 0 < x? False Let q be (-7)/(3 - 17)*1/((-15)/(-49662)). Is 1654 less than q? True Let l = 204.62 + -205.07. Let q = 1.6 + 0.85. Let o = q + l. Do 1/2 and o have the same value? False Let m = -10268 - -8346. Is -1926 at least as big as m? False Let g = -9 + -3. Let z be -12*(15/g + 2). Let v = -710 - -703. Which is smaller: v or z? z Let k(j) = 243*j. Let x be k(2). Let h be 24/15 + -2 - x/(-15). Let n = h + -28. Is n > 4? False Suppose 5*h + 84 = 3*r - 1236, -3*r = 4*h + 1056. Let g(w) = 53*w - 316. Let a be g(1). Which is greater: h or a? a Let o(u) be the first derivative of -u**4/4 - 9*u**3 - 26*u**2 - 62*u + 119. Let c be o(-25). Let v = 1 + -4. Which is greater: v or c? v Let u(c) = 6*c**2 - 21*c - 218. Let d be u(9). Which is greater: d or 236/3? d Suppose -2*n = 2*b + 10, -5*b = 3*n + 14 + 7. Let h(z) = 3*z**3 + 4*z**2 - z - 1. Let w be h(b). Let d(a) = a**2 - 19*a + 17. Let v be d(15). Does v = w? True Let a(b) = -b**2 + b + 3. Let p be a(0). Let t be -4 - 4/(0 - 4)*5. Let z be 153/34 - 2/t. Is p less than z? False Let u be 8 - 1/((-60)/(-60144))*15/(-6). Which is bigger: u or 2517? 2517 Let o = -20320 - -20352.92. Which is bigger: 0 or o? o Suppose j = -3*w - 5, -2*w + w + 17 = 5*j. Suppose -9*o = -j*o + 15. Which is smaller: -2 or o? o Let g = -17
{ "pile_set_name": "DM Mathematics" }
Solve d = c*r + 27 for r. -4 Suppose -l + 23 = -27. Suppose -l = -2*r - 54. Let u(v) = v**3 + 3*v**2 + 4*v + 7. Let a be u(r). Solve 2 = -a*c - 1 for c. -1 Let r(f) = 2*f**2 + 2*f + 2. Let c be r(-2). Let k be (c/3)/((-5)/45). Let o be -20 - k - (0 + -1)*22. Solve -j = -5*j + o for j. 5 Suppose 27*m - 19646 = -3581. Suppose -7*g - m = -595. Solve g = -0*v - 2*v + 4 for v. 2 Suppose -11*r = -16*r + n + 4647, 2*r - 3*n - 1864 = 0. Solve 932*a = r*a - 18 for a. -6 Let w(m) = -m - 27. Suppose 0 = 4*k + 3*u + 147, -4*k - 109 = 5*u + 48. Let j be w(k). Solve -j*t = -8*t + 10 for t. 5 Let b be (27*22/(-495))/(129/(-60) - -2). Solve b*l - 3814 + 3838 = 0 for l. -3 Let m(k) = 2*k**2 - 5*k + 5. Let q(l) = 9*l - 34. Let j be q(4). Let w be m(j). Solve -4*x = -w*x for x. 0 Suppose -2*n = -7*n - 135. Suppose -2*l = -7 + 73. Let r = n - l. Solve -r*i = -i - 25 for i. 5 Let m(j) = j**2 - 10*j - 1. Let b be m(11). Suppose 2*r - 2*r + 4*r = 0. Suppose r*n - 5*n = -b. Solve -n = -s - s for s. 1 Let c be 2 + (-13)/(-65)*(-10)/2. Let p = 2 + 3. Suppose -3*s + 12 = 2*f, s - 30 = 47*f - 52*f. Solve f = p*q + c for q. 1 Suppose 0 = -3*j - 2*z + 42, j + 0*j = -z + 15. Suppose 24 = 4*a - 28. Suppose 153*p = 138*p. Solve p = -5*q + j + a for q. 5 Suppose -1076*s + 1062*s = -280. Solve s*h + 25 = 5 for h. -1 Suppose 72 = 5*p + 14*a - 15*a, -72 = -4*p - 4*a. Solve p*o = 11*o - 16 for o. -4 Suppose -28*v = -3*v + 137 - 387. Solve 215 = 53*s - v*s for s. 5 Let c(v) = v**3 + 7*v**2 - 7*v + 9. Let m be c(-8). Let k be m + (-3)/((-9)/(-6)). Let d be (-4 + 8)*k/(-2 - -1). Solve -9 = d*z + 7 for z. -4 Let s(k) = -2*k**2 + 68*k - 459. Let n be s(24). Solve 17*d + 12 = n*d for d. 3 Let i = -14865 + 15045. Solve 0 = 7*p - 52*p - i for p. -4 Suppose -10*x + 80 = 3*x - 9*x. Solve -10*c + 30 = x*c for c. 1 Suppose 0 = 2*t + 42 - 50. Let v(q) = q**2 + q + 6. Let a be v(-6). Suppose -t*s + a = 5*s. Solve 3*m = 7*m + s for m. -1 Let n = -43 - -67. Let i be 445/35 + n/84. Let w be (4/6)/((-2)/(-3)). Solve i = 4*b + w for b. 3 Let t(w) = 8*w + 75. Let y be t(-9). Suppose -y*r + 7*r = 24. Solve 7*c + 4 = r*c for c. -4 Suppose -60*y + 199*y - 1506 - 1274 = 0. Solve -y = -9*r + 7 for r. 3 Suppose 0 = 2*f + 3*f - 50. Let c = 15 - f. Let x = 235 + -230. Solve -c = -2*w + x for w. 5 Suppose 7*c = 11*c - 8. Suppose -4*y = -4*h - 236, y - 51 = h - c*h. Solve 0 = -6*g + 25 - y for g. -5 Let l be (0 - 74)/(4 - (2 - -3)). Suppose 6*f - l = -2. Suppose -2*c = 4*d - 12, 7 = -2*d + 5*c + 1. Solve -d*b + f = b for b. 4 Let t be ((-2)/(-10) + 4/30)*(506 + -5). Solve 165*d - t*d = 10 for d. -5 Let i(s) = -9*s + 42. Let c be i(0). Solve -28*o = c + 14 for o. -2 Suppose 1464*f - 1463*f = 0. Suppose 0 = -2*u + 5*c + 9 + 48, -5*u - 2*c + 70 = f. Solve 0 = -u*q + 13*q + 15 for q. 5 Let r(f) = 55*f**2 + f - 62*f**2 + 2*f**3 - 3*f**3 + 10. Let n be 1/(3/(63/(-3))). Let c be r(n). Solve c*d = d + 10 for d. 5 Let i be 128/(-20) - 6/(-15). Let f be (-20)/6*i/4. Suppose 0 = -g - q - 2*q - 15, -f*g - 3*q = 15. Solve 2*p - 6 = -g for p. 3 Suppose 8*b + 35 = 99. Suppose 0 = -2*f - 7*w + 4*w - 12, 2*f + 2*w = -b. Solve f*q = -2*q + 10 for q. 5 Let k(a) = 23*a + 488. Let r be k(-4). Solve -r = 6*n - 372 for n. -4 Let u(y) = 28*y - 146. Let l be u(6). Let r be l/4 - (-30)/(-60). Solve 30 = r*j + 10 for j. 4 Let k(m) = -4 + 0 - 3*m - 2. Let s be k(-4). Suppose 18*a - 151 = -148*a + 347. Solve 0 = -a*q + s - 3 for q. 1 Let w(d) = -d**3 - 7*d**2 + 41*d - 15. Let l be w(-11). Solve l*r = 25*r for r. 0 Let y(a) = 17*a + 88. Let g be y(-5). Suppose 0*c + 4*c = 2*x - 40, 0 = -x - 5*c + 6. Suppose 0 = -g*q + x + 20. Solve q = 2*w + w for w. 4 Suppose -7*y + 2*y = 680. Let x be (5 + -6)*-1*(4 - 1). Let p be 2/x + (-6 - y/12). Solve k - p = -k for k. 3 Let h = -598 + 693. Suppose 5*p - 4*l - h = 0, 2*p - l - 4*l - 55 = 0. Solve -2*q + 7*q + p = 0 for q. -3 Suppose 86*g - 139*g + 75*g = 198. Solve -13*q - 12 = -g*q for q. -3 Suppose -358 = -k - 6*j + 9*j, 1822 = 5*k + j. Let x = 368 - k. Solve -9*q + 10*q - x = 0 for q. 4 Let k = -3075 - -3337. Solve 47*v + 638 - k = 0 for v. -8 Suppose -5*o = -31*o + 5070. Let l = -193 + o. Solve x - 3*x - l = 0 for x. -1 Let s(f) = -f + 16. Let c = 54 + -44. Suppose -c*t + 149 = -11. Let g be s(t). Solve g = a - 2*a for a. 0 Suppose 5*f - 15 = t, 3*f - t + 2*t = 9. Suppose -3*g + f = -4*q, -4*q + q = 4*g - 29. Suppose h - 2 = 0, 8*r + g*h - 20 = 3*r. Solve 0 = -0*k - 2*k + r for k. 1 Suppose 0 = -4*z - 2*n + 534, 4*z + 8*n - 3*n - 537 = 0. Suppose -5*r + z - 8 = -w, 3*w = 4*r - 111. Suppose r*s = 28*s - 20. Solve 1 = 3*k - s for k. 2 Suppose 40 = b + 43. Let r be b/2*20/(-15)*1. Let o = -7 - -8. Solve -r*a + 3 = -o for a. 2 Let p(y) = -y**2 - 3*y + 5. Let s be p(-4). Suppose 17*t - 14*t = 6. Let x be (0 - t)*-1 + 3. Solve 0 = 2*g - x - s for g. 3 Let v be 266/76*76/14. Suppose t - 2*x = -6*x + v, -3*t = -2*x - 29. Solve t*b - 30 = b for b. 3 Let h(j) = -j**2 + 3*j - 6. Let t be h(0). Let d be (-8)/t*21/14. Let p be (8 + -16)/(1/(-2)). Solve d*l = -2*l + p for l. 4 Suppose -x = -r - 174, 0 = -6*r + r + x - 878. Let z = r - -123. Let n = z - -55. Solve 0 = 2*i + n*i - 4 for i. 1 Let p(h) = -2*h**2 - 61*h - 30. Let o = 99 + -129. Let v be p(o). Solve -4*m - 4 = -v*m for m. -1 Let m = 12 - -34. Suppose 174 = -2*q + m. Let o = q - -64. Solve -12 = -o*i + 4*i for i. -3 Let q(m) = 4*m**3 + 69*m**2 + 30*m + 234. Let s be q(-17). Solve -s*z + 488 = 579 for z. -7 Suppose 690 = 105*r - 465. Solve 30 = r*n - 69 for n. 9 Let q(a) = -200 + 189 + 3*a**2 - 61*a + 22*a + a**3 - 2*a**2. Let m be q(6). Solve -10*s - 3 = -m*s for s. -1 Let i = -52 + 54. Suppose 2*g = -4*x + i + 6, -g + 10 = 5*x. Suppose 7*u - 3*u = 2*w - x, 3*w - 3 = u. Solve u*o = o + 3 for o. -3 Let w = 27119 - 26973. Solve -z - w + 143 = 0 for z. -3 Suppose 0*g + 22 = 5*g - r, 4*g = -r + 14. Let k = g - 2. Suppose 15 = k*l - l. Solve -v + 4*v - l = 0 for v. 5 Let t = 839 - 764. Suppose 2*s + 10 + 50 = 4*l, 5*l = -s + t. Solve -18*p + 21*p + l = 0 for p. -5 Let k(u) = u**3 + 6*u**2 - 6*u + 9. Let w be k(-7). Let c(h) = 351*h + 2479. Let g be c(-7). Solve -w = -4*q - g for q. -5 Let x = -7693 - -7738. Solve 15*p + 30 = x*p for p. 1 Suppose -8*b + b = -231. Let w be 4*6/28*154/b. Suppose -w*o + 12 = -o. Solve -o*l = l - 15 for l. 3 Let o = -203 - -231. Let x be ((4/(-3))/(-2))/(o/126). Solve -l + 2 = -x for l. 5 Let w be -1919*((-5)/(-15) - (-48)/(-36)). Solve -1917*y = -w*y - 8 for y. -4 Let r be (216/21)/((-38)/(-266)). Solve 22 - r = 25*s for s. -2 Suppose -4*y = -0*y + o + 325, 4*y = 5*o - 343. Let t = y + 90. Let k be 2/4*6/12*t. Solve -k*h + 12 = 2 for h. 5 Let p = -8601 + 8614. Solve p*z - 264 = 57*z for z. -6 Suppose -5*l - 12*t + 16*t + 2620 = 0, 0 = -t - 5. Let b = l - 514. Solve 0 = b*k + 24 - 6 for k. -3 Let w be 45/(-3) + 2 + 2. Let i = 14 + w. Suppose -i*b - o + 1 = -2*o, -b = -4*o - 4. Solve -4*a - 20 = -b*a for a. -5 Let o(y) = 16 + 55*y**3 + y**2 - 56*y**3 + 0*y**2 + 6*y + 7*y - 4*y**2. Let u be o(-5). Solve -1 = h + u for h. -2 Let t = 472 + -464. Let f(u) = 12*u - 16. Let g be f(t). Solve -2*j = -g + 78 for j. 1 Let y = 532 + -530. Let z be y + 1 + (17 - 6). Solve -10*w = -z*w + 16 for w. 4 Let f be -2 + 1 - -11 - (37 - 39). Let y be (f/(-9))/((-12)/45) - 3. Solve -4 - y = 3*h for h. -2 Let w be -3 + 2 + 17 + 0. Let b be (((-72)/15)/(-4))/(6/(-30)). Let n be 3/b*16/(-8). Solve w = 5*k + n for k. 3 Let g be 1*(-2)/8*-2*0. Suppose -2*b + 7 + 5 = g. Solve 0*d - b*d = 0 for d. 0 Let z(r) = -5*r - 5. Let v = -132 - -102. Let n be 6/(-18)*v/(-5). Let q be z(n). Solve -2 = q*m - 3*m for m. -1 Let b = 481 + -475. Suppose 4*c = 4*a - 12, -2*a = c - 0*c - 18. Suppose 4*o + a*i - 2*i = -7, -4*o + i + 11 = 0. Solve o*v + 0*v + b = 0 for v. -3 Let g = 6521 - 5616. Solve -g*m = -906*m - 3 for m. -3 Suppose -633*c = 2*t - 635*c + 8, 0 = 4*t + c - 14. Solve -4 = -f + t for f. 6 Let c(z) = -z**3 - 9*z**2 + 2*z + 22. Let r be (-2)/(-4)*12/(-9)*-3. Suppose -47 = 5*m + 2*l, -2*l + 25 = -r*m - m. Let f be c(m). Solve -20 = f*k + k for k. -4 Suppose 0 = 4*u - 3*x - 44, 0 = -u + 27*x - 29*x + 11. Solve -u*o - 37 - 29 = 0 for o. -6 Let k = 134 - 80. Let r = -8334 - -8376. Solve k = -3*w + r for w. -4 Let n be 20/6*(-654)/(-436). Solve 38*p - 198 = n
{ "pile_set_name": "DM Mathematics" }
(n) wrt n. -6574 Let k = -8 - -65. What is the third derivative of -8*m - 16*m**2 - 13*m**2 + 10*m**3 - k*m**3 + 25*m**2 wrt m? -282 Let z(i) = -24*i**3 + 5*i**2 + 17*i - 6. Let h(k) = 394*k + 1 - 793*k + 399*k - k**2. Let r(g) = -6*h(g) - z(g). What is the third derivative of r(f) wrt f? 144 Suppose 2*n = -u, -3*n - 6 = -5*u - 7*n. Find the second derivative of -16*m + 4*m + 22*m - 11*m**u - 5*m**2 - 4 + 21*m wrt m. -32 Let q = 827 - 821. Differentiate -3*k + 2*k**2 + 35 - 6 + 11 + q*k**2 + 27 wrt k. 16*k - 3 Find the second derivative of 298*o + 10 + 316*o - 12 + 3025*o**3 + 171*o - 204*o wrt o. 18150*o Let h be 3/1 + (-5)/(45/(-981)). What is the derivative of 54 - 51 - h*v**2 + 38 wrt v? -224*v Suppose -14*z - 60 = 10. Let o(m) = 91*m**4 - m - 39. Let b(w) = -90*w**4 + w + 39. Let h(t) = z*b(t) - 4*o(t). What is the second derivative of h(r) wrt r? 1032*r**2 Let d(f) be the first derivative of -135*f**4/2 + 548*f**3/3 - 462. Find the third derivative of d(b) wrt b. -1620 What is the second derivative of 623*j**2 - 26 + 32 + 12 + 93 - 5 - 7*j wrt j? 1246 Let y(k) be the first derivative of 763*k**6/2 + 91*k**2 - 3*k + 2229. Find the second derivative of y(o) wrt o. 45780*o**3 Let p be (1 - -2)/((-42)/28). Let f be 37/7 + p/7. What is the second derivative of -14*w**f - 12*w**4 + 12*w**4 - w**5 + 5*w wrt w? -300*w**3 Differentiate -31*z + 31*z - 83 - 628*z**4 + 693*z**3 - 692*z**3 with respect to z. -2512*z**3 + 3*z**2 Suppose -63 = -5*q - 48. Find the third derivative of 556*c**4 + 37*c**2 - q - 648*c**4 + 6 wrt c. -2208*c Let p(u) be the first derivative of 0*u**2 + 0*u**5 + 0*u**4 - 172/3*u**3 + 83/2*u**6 + 0*u - 187. What is the third derivative of p(s) wrt s? 14940*s**2 Let z be -4*5/35 - (-158)/7. Suppose 2*c = -4*v + z, -3 = 2*c + c. What is the third derivative of 34*m**4 - 180*m**3 + 180*m**3 - v*m**2 wrt m? 816*m Let f(o) be the first derivative of 4*o**5/5 - o**4/4 + 148*o**3/3 + 116*o**2 + o - 3010. What is the second derivative of f(s) wrt s? 48*s**2 - 6*s + 296 What is the third derivative of 32 + 273*n**6 + 11*n**2 - 46*n**2 + 227*n**6 + 41*n**2 - 92*n**2 wrt n? 60000*n**3 Let z(u) be the first derivative of -284*u**7/7 + u**5/5 + 338*u**3 + 665. Find the third derivative of z(l) wrt l. -34080*l**3 + 24*l What is the third derivative of 5*w**6 - 31*w**2 + 76*w**3 - 1342 + 2691 - 1340 wrt w? 600*w**3 + 456 Suppose -5*i + 2*s + 42 = 0, -i + 4*s = -2*i + 26. Let f be (-4)/(36/i - 4). Find the third derivative of -33*a**5 + 13*a**2 - 23*a**2 - 20*a**2 + f*a**5 wrt a. -1380*a**2 Find the third derivative of 1024*c**2 + 309*c**2 + 35*c**2 + 898*c**3 wrt c. 5388 Let i(a) be the second derivative of -4601*a**5/20 - 2551*a**2 + 4913*a. Differentiate i(p) wrt p. -13803*p**2 Let w(b) be the second derivative of -3/4*b**5 + 107/2*b**2 + 1/12*b**4 + 0 + 0*b**3 + 73*b. Differentiate w(k) with respect to k. -45*k**2 + 2*k Let d(j) = 18*j + 62. Let l(t) = 22*t - 4 + 35 + 31 - 5*t. Let c(z) = -5*d(z) + 6*l(z). What is the first derivative of c(h) wrt h? 12 Let r(a) = 781*a**2 + 25*a - 35. Let d(t) = -1562*t**2 - 53*t + 75. Let h(g) = -6*d(g) - 13*r(g). Find the second derivative of h(b) wrt b. -1562 Let k(c) be the third derivative of 253*c**7/210 - 73*c**4/24 + c**3/6 - 611*c**2. Find the second derivative of k(a) wrt a. 3036*a**2 Let s(c) be the third derivative of 2513*c**5/20 + 2887*c**4/24 - 84*c**2 + 56. What is the second derivative of s(z) wrt z? 15078 Let t(z) be the second derivative of -z**5/10 + z**4/2 + 200*z**3/3 - 3158*z**2 + 6875*z. Differentiate t(u) with respect to u. -6*u**2 + 12*u + 400 Find the second derivative of 1800*c**2 - 2339*c**2 - c + 1278 - 4791*c**2 - 2*c wrt c. -10660 Let k(c) be the second derivative of -4741*c**3/6 + 278*c**2 + 7*c + 11. What is the derivative of k(l) wrt l? -4741 Let d(k) = -6*k - 32. Let v be d(-6). What is the second derivative of 114*u**4 + 221*u - 76*u**v - 58*u wrt u? 456*u**2 Let y(m) = m**2 - 31*m - 64. Let t be y(33). Find the third derivative of 67*j**t + 83*j**2 + 118*j**3 + 1 + 1 - 2 wrt j. 708 Let z(u) be the second derivative of 357*u**4/2 + 2341*u**2/2 + 2*u - 524. Differentiate z(m) with respect to m. 4284*m Let a(w) be the first derivative of 0*w**4 - 61 + 39*w + 0*w**5 - 53/3*w**6 + 0*w**2 - 1/3*w**3. Find the third derivative of a(v) wrt v. -6360*v**2 What is the second derivative of -14748*i + 22*i**5 - 994*i**4 + 300*i**4 - i**3 + 300*i**4 + 296*i**4 wrt i? 440*i**3 - 1176*i**2 - 6*i Let t(w) be the first derivative of 3*w**6/2 - 16*w**5/5 - 3*w**4/4 + 209*w**3 + w + 7396. What is the third derivative of t(j) wrt j? 540*j**2 - 384*j - 18 Let k(b) = -20*b**3 - b**2 - 4*b - 1. Let d(u) = 58*u**3 + 3*u**2 + 12*u + 1. Let y(j) = -6*d(j) - 17*k(j). What is the second derivative of y(x) wrt x? -48*x - 2 Let f(i) be the first derivative of -124/3*i**3 - 182/5*i**5 + 0*i + 0*i**4 - 40 + 0*i**2. Find the third derivative of f(y) wrt y. -4368*y Let k = -474 - -477. Find the second derivative of 34*b**2 - 27*b + k*b + 2*b**2 - 42*b wrt b. 72 Let u(y) = y - 2*y + 21 + 4 + 3*y. Let t be u(-11). Find the third derivative of 5*i**2 - 14*i**3 - 12*i**t + 11*i**3 wrt i. -90 Let n(l) = l**3 + 33*l + 42*l + 2*l**2 + 1 - 76*l. Let y(g) = 6*g**3 - 10*g**2 + 3*g + 13. Let f(i) = 5*n(i) + y(i). Find the second derivative of f(a) wrt a. 66*a What is the second derivative of -198*t**3 - 1299*t + 429*t**3 + 1508*t**4 - 231*t**3 wrt t? 18096*t**2 What is the second derivative of 912*u**5 + 4101*u**2 - 4101*u**2 + 620*u + 1060*u wrt u? 18240*u**3 What is the second derivative of 248*x**3 - 325*x**3 + 845*x**3 + 2 + 770*x wrt x? 4608*x Find the third derivative of -24*a - 463*a**2 + 5766*a**2 + 7465*a**4 + 56*a - 32*a wrt a. 179160*a What is the third derivative of 61*o**2 + 1626*o**6 + 35*o - 39*o + 7*o**2 wrt o? 195120*o**3 What is the third derivative of -13414*g**2 + 61*g + 3378*g**4 + 10489*g**2 - 61*g wrt g? 81072*g Let k(w) be the second derivative of 21*w**5/40 - 27*w**4/8 + w**3/3 + 5*w**2/2 + 9*w + 1. Let u(v) be the second derivative of k(v). Differentiate u(g) wrt g. 63 Let o(a) be the second derivative of -527*a**3/3 - 2627*a**2/2 + 764*a. What is the derivative of o(x) wrt x? -1054 Let h be (-1)/(3 - (-2044)/(-679)). What is the second derivative of h - 37 - 106*o**2 - 42 + o wrt o? -212 Suppose 19 = -6*s + 7. Let h be 1 + (-6)/s - -5. Differentiate 50*c**2 - h*c**2 - 86 + 78 wrt c. 82*c Suppose 0 = -15*w + 373 + 332. Find the second derivative of -15*q + w*q**4 - 7*q + 36*q - 6*q**5 + 4*q**5 wrt q. -40*q**3 + 564*q**2 Let d(h) = 6249*h**2 + 8*h + 9386. Let y(i) = 8*i**2 - 4*i + 1. Let m(k) = -d(k) - 2*y(k). Differentiate m(f) wrt f. -12530*f Let w = -106 + 108. Find the third derivative of -117*q**5 - 80*q**5 - 124*q**w - 42*q**4 + 42*q**4 wrt q. -11820*q**2 Let r(d) = -2*d**3 - d + 3. Let w(f) = -534*f**3 + 5764*f**2 + 6*f - 18. Let u(b) = 6*r(b) + w(b). What is the third derivative of u(i) wrt i? -3276 Find the second derivative of 146*g**2 + 140*g**2 - 29*g**4 + 868 - 3*g + 139*g**2 - 426*g**2 wrt g. -348*g**2 - 2 Let x(h) be the third derivative of 0*h - 47/24*h**4 - 2 - 26/3*h**3 + 35*h**2. What is the derivative of x(f) wrt f? -47 Let w(i) be the first derivative of 4*i**3/3 + 585*i**2 + 2195*i - 8996. Find the first derivative of w(s) wrt s. 8*s + 1170 Suppose -4*q = -11*q + 28. Find the second derivative of 16*p**2 - q*p**3 - 2*p**3 - 223*p + 55*p - 9*p**2 - 5*p**2 wrt p. -36*p + 4 Let d = 5755 + -5752. Let p be 14*1 + (0 - -1). Find the third derivative of d*x**3 + 3*x**2 + p*x**3 + 3*x**2 wrt x. 108 Let z(s) be the second derivative of -71*s**4/6 + 1275*s**2/2 + 766*s. Differentiate z(g) wrt g. -284*g What is the third derivative of -136*c - 387*c**2 + 257*c - 7*c**4 - 121*c + 203*c**3 wrt c? -168*c + 1218 Let p(x) be the third derivative of 265/24*x**4 - 2*x**2 + 58*x - 44/3*x**3 + 0. Differentiate p(w) with respect to w. 265 Let z(c) = -c**3 - 3*c**2 + 5*c + 12. Let p be z(-5). Let k(s) be the first derivative of 10*s - 40*s**3 + 6 + 13*s + p*s**3. Differentiate k(d) wrt d. -18*d What is the third derivative of -9 + 190*m**2 + 137*m**2 - 117*m**2 + 4150*m**3 - 507*m**2 - 1 wrt m? 24900 Let k(q) be the second derivative of -73*q**7/2520 - 23*q**5/20 - 23*q**4/3 + 57*q. L
{ "pile_set_name": "DM Mathematics" }
r**2 - 2*r + 3. Determine n(w). 3 Let h(j) = -2*j + 6. Let b be h(0). Let y be 8/6 - b/(-9). Let z(u) = 2*u**2 - 3*u. Determine z(y). 2 Let o(h) = h**3 + 6*h**2 + 3*h. Let l = -4 + 2. Calculate o(l). 10 Let r(b) be the first derivative of -3/2*b**2 + 4/3*b**3 + b - 1/4*b**4 + 2. Let u be ((-2)/4)/(2/(-8)). Calculate r(u). 3 Let l(a) = -a**2 + 14*a - 10. Let b be -6*(-4)/(-6) - -17. Determine l(b). 3 Let f(k) = 8*k**2 - k + 1. Let q(x) = x**2 + 6*x - 15. Let c be q(-8). What is f(c)? 8 Let s(i) = i + 5 + i + 0*i - i. Give s(-4). 1 Suppose 7 = 4*s - 5. Let x(t) = t**3 - 3*t**2 - 2*t - 4. What is x(s)? -10 Let i be 2 - (-3 - (0 + -3)). Suppose 0 = 4*b + 8, 0*k - k - b - 1 = 0. Let x(w) = -5 + w**2 + 3*w**2 + i*w**2 + w**3 + k. What is x(-6)? -4 Let q(v) = v**2 - 5*v + 3. Let c be q(5). Suppose 5*l + 20 = -t, -l - c*t = -5*t - 7. Let f(y) = y**2 + y - 2. What is f(l)? 4 Suppose h = 4*q - 15, -3*q + 17 - 6 = -h. Suppose 4*s - 5*s = -5*w - h, -4*s + 4 = 4*w. Let i(l) = s + l**2 - 2 + 2 + 3*l. Determine i(-4). 5 Let v(l) = l**2 - 3 + 6 - l - 1. Let q(u) = u**2 - u - 2. Suppose 1 = 2*p - 3. Let i be q(p). Give v(i). 2 Suppose 3 + 6 = 3*j. Suppose k - 7 = -3. Let h(p) = k + p**2 - 3 - j - 3*p. Give h(3). -2 Suppose -3*t + 2*b - 1 = 0, -3*t + b + 0 + 4 = 0. Suppose 5*k - 65 = 4*o, -2*k - 4*o + 5 = -21. Suppose -5*y = -k + t. Let n(w) = -w**2 - w. What is n(y)? -6 Let l = -8 - -6. Let b be (-5)/(-2) - (-1)/l. Let s(v) = 3 - v + b*v - 1. Determine s(-5). -3 Let h(w) = 54*w - 175*w + 57*w + 63*w. Let j be 2*((-10)/4 - 1). Determine h(j). 7 Let d(p) = -44*p**3 + 3*p**2 - 7*p - 7. Let h(b) = -29*b**3 + 2*b**2 - 5*b - 5. Let s(w) = -5*d(w) + 7*h(w). Determine s(1). 16 Let w be (16/4 - -2) + -10. Let p(f) = -f - 2. Determine p(w). 2 Let k(r) be the third derivative of -r**5/60 + r**3/6 + 2*r**2. Determine k(2). -3 Suppose -4*h - 14 = 2*j, -h - 9 = -4*j + 8. Let x(r) be the second derivative of r**5/20 - 5*r**4/12 + 2*r**3/3 + r**2/2 - r. Give x(j). -5 Let z be ((-6)/(-4))/(-1 - 30/(-48)). Let t(o) = o**2 + o - 1. Let r(a) = -6*a**2 - 12*a - 1. Let u(h) = r(h) + 5*t(h). Determine u(z). 6 Let a(k) = -10 - k - 10 + 10. Determine a(0). -10 Let o(s) = -s**3 + 5*s**2. Let f = 37 + -32. What is o(f)? 0 Let k(t) = -4*t**2 + 6*t - 8. Let g(q) = -q**2 + q - 2. Let p(o) = -6*o**2 + 6*o - 11. Let x(r) = 11*g(r) - 2*p(r). Let z(j) = k(j) + 5*x(j). Calculate z(0). -8 Let l(b) = -b + 4. Let s(x) be the first derivative of -x**2 + 3*x - 2. Let u(v) = -4*l(v) + 5*s(v). What is u(-1)? 5 Let b(c) = 3*c + 6. Suppose 0*h - 3*h = -36. Suppose -2*r + h = 2*r. Let q be r/(-6)*(-2 - -12). What is b(q)? -9 Let r(a) = 2*a + 54 - 53 - 3*a. Give r(4). -3 Let q = 30 - 25. Let u(j) be the second derivative of -9/2*j**2 + 1/12*j**4 + 1/20*j**q + 2*j + 0 - 1/6*j**3. Determine u(0). -9 Let y(t) = -t - 3*t**2 - 2*t + 44 + t**2 - 46. Determine y(-2). -4 Let w(u) be the second derivative of u**5/20 + u**4/4 - 5*u**3/3 + u**2 + 10*u. Let z be w(-5). Let g(m) = m**2 - m + 2. Give g(z). 4 Suppose 7*c = -1 + 57. Let n(v) = v - 5. Determine n(c). 3 Let i(p) = 10*p**3 - 2*p**2 - 6*p + 1. Let n(k) = -21*k**3 + 4*k**2 + 13*k - 2. Let s(l) = -13*i(l) - 6*n(l). Calculate s(1). -3 Let x(m) = 7*m**2 - 5*m - 1. Let i(g) = g**2 + 5*g - 2*g**2 - 2*g - 2*g**2. Let u(v) = -5*i(v) - 2*x(v). Determine u(4). -2 Let z(v) = 2*v - 9. Let g be z(6). Let x(o) be the first derivative of o**5/60 + o**4/24 - 2*o**3/3 - 3. Let q(b) be the third derivative of x(b). Give q(g). 7 Let l(r) = 0*r + 33 - r + 2*r - 35. Determine l(-3). -5 Let v(z) = z**2 + 2*z - 4. Let b = -37 + 34. Give v(b). -1 Let a(h) = -6*h + 4*h**2 - 3*h + h - 1 + h**2. Let f(w) = w**2 - w. Let j(q) = -a(q) + 4*f(q). Give j(2). 5 Let w(i) be the third derivative of -i**5/60 + i**4/24 + i**3/2 - 2*i**2. Let h(v) = -v**3 + 4*v**2 + v - 4. Let b be h(4). Calculate w(b). 3 Let h(x) = -x**2 + 4*x - 1. Let w(d) = -2*d**3 - 3*d**2 - d - 1. Suppose -3*j + 0 = -5*q - 19, j - 9 = 3*q. Let y be w(q). Determine h(y). -6 Let a be 7 + -1 + (-6)/3. Let h be a*(-1)/(-8)*10. Let d(z) = 0 + z - 2 - 1 + 4. Calculate d(h). 6 Let w(g) = -2*g**3 + 5*g**2 + 2*g - 5. Let i(k) = -k**3 + 3*k**2 + k - 3. Let p(r) = -5*i(r) + 3*w(r). Let q be (20/(-8) + 2)*2. Calculate p(q). 0 Let t(p) = p + 4. Let a(l) = 7*l + 28. Let m(y) = a(y) - 6*t(y). Suppose 4*r + 8 = -24. What is m(r)? -4 Let p(i) = -4*i**3 + 11*i**2 + 9*i - 10. Let h(w) = -3*w**3 + 7*w**2 + 6*w - 7. Let o(r) = 7*h(r) - 5*p(r). Calculate o(-5). -9 Let u(n) = n**2 + 1. Let d(a) = -2*a**3 + a**2 - 4*a - 1. Let r(l) = -d(l) - 3*u(l). Suppose -8*q = -3*q + 10. Let g be 16/(-4)*q/4. What is r(g)? 6 Let p(r) = 2*r - 8. Let m(s) = s - 6. Let u be m(12). Calculate p(u). 4 Let i be (-3)/(-9) + (-42)/(-9). Let k(a) = a**2 - 7*a + 3. Give k(i). -7 Let b(j) = j - 3. Let g be b(5). Let v(s) = 2*s - 3*s - s**g + 3 - s. Let l(f) = f**3 - 9*f**2 + 9*f - 11. Let h be l(8). Give v(h). 0 Let x be (10/(-2) + 0)/(-1). Suppose 0 - 2 = -i. Let h(k) = 2*k**2 - 12*k**2 + k**3 - i*k + 2 + 4*k**2 + 7*k. What is h(x)? 2 Let b(o) be the third derivative of o**4/24 + o**3/2 - o**2. Let l be (-2)/(-13) - 24/(-13). Suppose 12 = -2*x - l*x, -h + 4*x + 9 = 0. Give b(h). 0 Let j(k) = 4*k + 2*k + k**2 + 5 - k. Suppose 0 = 5*d + 24 + 1. Calculate j(d). 5 Let c(p) be the third derivative of -p**4/12 + p**3 + 2*p**2 + 6*p. Suppose 5*x = 32 - 2. Calculate c(x). -6 Let o = 6 + -3. Suppose -o*f + 1 = -5. Suppose z - 1 = f*z. Let b(m) = -5*m**2 - 1. Give b(z). -6 Let j = -41 + 38. Let c(q) = -q**3 - 4*q**2 - 2*q + 3. What is c(j)? 0 Let m(x) = x**2 + 4*x - 5. Let c(w) = w**3 + 12*w**2 + 2. Let g be c(-12). Suppose 5*u + 21 = -f - 3, 0 = -5*u - g*f - 23. Determine m(u). 0 Let c(a) = -3*a**2 + 1. Suppose -4*d - 3*f = 0, -2*f + 6*f - 10 = -2*d. Let h(l) = -2*l - 4. Let n be h(d). What is c(n)? -11 Let t = 6 - 4. Suppose 0 = -2*a - 2*j + 56 + 20, -j + 110 = 3*a. Let b(h) = -2*h - h - 35 + a + 2*h**2. Calculate b(t). 3 Let p = 18 - 29. Let x(t) = 9*t + 15. Let y(o) = 5*o + 8. Let v(r) = p*y(r) + 6*x(r). Suppose -z = 2*b - 11, -10 = -b - 2*z - 0. Calculate v(b). -2 Let s(k) = k - 2. Let z(u) = -u**3 - 5*u**2 + 7*u. Let j be z(-6). Give s(j). -8 Let p(o) = -13*o - 9. Let y(a) = -20*a - 14. Let x(z) = -8*p(z) + 5*y(z). Suppose -18 + 10 = -4*j. Determine x(j). 10 Let m(u) = u**2 - 8*u - 11. Let c = -62 + 70. Give m(c). -11 Let x be 0/(-1) - (-3 - 3). Let c(i) = i**3 - 5*i**2 - 7*i + 9. Let v be c(x). Let j(w) = -w - 5 + 2 + 2*w. Give j(v). 0 Let z(g) = g**2 + 6*g + 2. Let j be z(-6). Suppose -2*r - 3*m = 2, -j*m + 6 = 5*r - 0. Let t(p) = 5*p - 1. Calculate t(r). 9 Let a(h) = -5*h**2 + 2*h + 5. Let y(s) = -2*s**2 + s + 2. Let k(t) = 6*a(t) - 14*y(t). Suppose -3*g = -2*m - 4*g - 7, -2*g + 13 = -5*m. What is k(m)? -10 Let t(d) = -212*d**2 + 217*d**2 - 4*d + 2*d**3 + 3*d**3 - 6*d**3. Give t(3). 6 Let h = -4 - -7. Suppose 0 = h*a - 4*a + 5. Suppose -5*z = -5*o + 40, -3*o - 14 + 46 = -a*z. Let d(u) = u**2 - 4*u - 1. Calculate d(o). -1 Let z(t) = -t**2 - 7*t - 4. Suppose -2*q + 3*q = -6. Give z(q). 2 Let s(a) = -2*a - 1. Suppose -3 = o - 10. Determine s(o). -15 Let c = 38 + -39. Let w(j) = 9*j**2 + 2*j + 1. Calculate w(c). 8 Let b(a) = 2*a**3 - 12*a**2 - 9*a. Let l(n) = 3*n**3 - 13*n**2 - 9*n - 1. Let h(c) = -4*b(c) + 3*l(c). Calculate h(-8). -11 Let r(w) = w - 1. Let v(j) = 5*j - 5. Let b(d) = -4*r(d) + v(d). What is b(6)? 5 Suppose -45 = 10*y - y. Let f(k) = -k - 6. Give f(y). -1 Let y(z) = 3*z. Let o(b) = -b. Let k(i) = 2*o(i) + y(i). Let x(q) = q - 1. Let h be 4 - (1 + (-8)/(-2)). Let n(u) = h*x(u) + 5*k(u). What is n(-1)? -3 Let r = -8 - -5. Suppose 5*m + 2*b - 14 = 4*b, 4*b = 3*m - 14. Let x(d) = -2*d**m + 0*d**2 + 3*d**2 + 2*d. Give x(r). 3 Suppose -l + 4*l = 24. Suppose l = 3*r - 7*r. Let s(d) be the second derivative of d**4/12 + d**3/3 + d**2 + d. Calculate s(r). 2 Suppose -v + 13 = -3*f, -f + 2*v = -3*v + 9. Let s(q) = -q - 4. Determine s(f). 0 Let z(n) = -8*n - 3. Let u be z(-2). Suppose 0 = -2*q + 5*q + 5*a + u, 2*q + 4*a = -10. Let t(k) = -1 + k**2 + 5*k**2 - 3*k**2. Calculate t(q). 2 Suppose 0 = 5*v - 10, 2*q + v = -3*q + 32. Let c(t) = t**2 - 6*t. Give c(q). 0 Let f = 11 + -11. Let i(x) be the first derivative of 6*x - 1 - 1/2*x**2. Determine i(f). 6 Let n(m) = -m
{ "pile_set_name": "DM Mathematics" }
dp? 7.1 Round -0.529332799 to 2 decimal places. -0.53 What is 2094.8573 rounded to 1 decimal place? 2094.9 Round 56923.1958 to the nearest 1000. 57000 What is 1.635502752 rounded to 3 decimal places? 1.636 What is -0.000093932735 rounded to five dps? -0.00009 Round -4034601.72 to the nearest ten thousand. -4030000 Round -0.0000129095889 to 5 dps. -0.00001 What is 6289.8676 rounded to the nearest one hundred? 6300 What is 0.00028274967 rounded to seven decimal places? 0.0002827 Round 39139401 to the nearest 10000. 39140000 What is -223834.812 rounded to the nearest 100? -223800 Round 0.000539668 to 5 dps. 0.00054 What is -0.0228662952 rounded to one dp? 0 Round -58552.714 to the nearest 100. -58600 What is 258255897 rounded to the nearest ten thousand? 258260000 Round -0.618299078 to three dps. -0.618 Round -640528570 to the nearest 1000000. -641000000 Round -306136660800 to the nearest 1000000. -306137000000 What is 68.2986018 rounded to 3 dps? 68.299 Round -112578.7 to the nearest 1000. -113000 Round 1572627.15 to the nearest one thousand. 1573000 Round -83229940 to the nearest 100000. -83200000 What is 83.7162992 rounded to three dps? 83.716 What is -0.0868827644 rounded to 3 dps? -0.087 What is 0.00000035890463 rounded to six decimal places? 0 Round -13752.556958 to the nearest ten. -13750 What is -443.208116 rounded to 2 decimal places? -443.21 What is -1427614.0566 rounded to the nearest 1000? -1428000 Round 1276337380 to the nearest 100000. 1276300000 What is -295431.848 rounded to the nearest one thousand? -295000 What is 16.541475 rounded to the nearest integer? 17 Round 48252343.25 to the nearest one hundred thousand. 48300000 Round 0.0323621437 to 6 dps. 0.032362 What is 0.0004789363465 rounded to 4 dps? 0.0005 Round -0.0000040735342 to 7 dps. -0.0000041 What is -9.57512371 rounded to one decimal place? -9.6 What is 0.00411886961 rounded to six dps? 0.004119 What is -0.00023653109 rounded to six dps? -0.000237 What is -203932.5 rounded to the nearest ten thousand? -200000 Round -7.064258147 to two dps. -7.06 What is 0.74263156 rounded to three decimal places? 0.743 Round 22.05454799 to two decimal places. 22.05 Round 0.00001102722 to seven dps. 0.000011 What is 137386205.04 rounded to the nearest one million? 137000000 Round -2669.984752 to 0 decimal places. -2670 What is 28079.291 rounded to the nearest one thousand? 28000 Round -2357.756345 to one dp. -2357.8 What is 0.00025591561 rounded to 6 decimal places? 0.000256 Round 55935.34059 to the nearest integer. 55935 Round -3.9024187 to 1 decimal place. -3.9 What is -2334843 rounded to the nearest 1000? -2335000 Round 3297.32771 to the nearest one hundred. 3300 What is 34.166234 rounded to 0 decimal places? 34 Round -311701.92 to the nearest 10000. -310000 What is -0.0186231178 rounded to 5 decimal places? -0.01862 What is -8.5648101 rounded to one decimal place? -8.6 What is -0.008273927 rounded to 3 decimal places? -0.008 What is 30.796136 rounded to 0 dps? 31 Round -0.000005125353563 to 7 dps. -0.0000051 Round 8105076.26 to the nearest one million. 8000000 What is 738.28033 rounded to 1 decimal place? 738.3 Round 6744.485763 to the nearest integer. 6744 What is -0.0311141398 rounded to four decimal places? -0.0311 What is 1170486900 rounded to the nearest one million? 1170000000 What is 0.0002822462253 rounded to 6 dps? 0.000282 What is 14994210.9 rounded to the nearest 1000? 14994000 Round -2340094.54 to the nearest 100000. -2300000 Round 22259613.48 to the nearest 100000. 22300000 Round 1.19740221 to four dps. 1.1974 What is -1.57005425 rounded to two dps? -1.57 Round 23604437.99 to the nearest one hundred thousand. 23600000 Round -13624.423861 to the nearest 10. -13620 Round -0.0073302264 to 4 dps. -0.0073 What is -0.002753577352 rounded to 5 dps? -0.00275 Round -0.5764017 to three dps. -0.576 Round -0.0909760862 to 2 decimal places. -0.09 What is 142258248.26 rounded to the nearest one thousand? 142258000 Round 151909.062 to the nearest 1000. 152000 What is -1.114827021 rounded to 2 dps? -1.11 What is -18001.59433 rounded to the nearest one hundred? -18000 Round 83341.905 to the nearest ten thousand. 80000 Round 0.0000524471397 to seven decimal places. 0.0000524 What is -0.0000593817765 rounded to six decimal places? -0.000059 Round 8017482.34 to the nearest one million. 8000000 Round 9705504 to the nearest 100000. 9700000 Round -15113.21584 to one decimal place. -15113.2 What is 3839462.33 rounded to the nearest 100? 3839500 Round 0.0000707889974 to 6 decimal places. 0.000071 What is -4.4353172 rounded to 3 dps? -4.435 What is 0.8640849262 rounded to one decimal place? 0.9 Round -13594798.4 to the nearest 1000. -13595000 What is 3556.969442 rounded to the nearest 100? 3600 What is 0.000652883548 rounded to 5 dps? 0.00065 What is 0.00000061898542 rounded to seven decimal places? 0.0000006 Round -0.00560227579 to four decimal places. -0.0056 Round 39355.20342 to the nearest integer. 39355 Round 0.019720009 to five decimal places. 0.01972 Round 0.00036076478 to 4 decimal places. 0.0004 What is -69951056.85 rounded to the nearest ten thousand? -69950000 What is 1091887.239 rounded to the nearest one thousand? 1092000 What is -0.0215837761 rounded to 6 dps? -0.021584 What is -32167.1572 rounded to the nearest 10000? -30000 What is 226916.66 rounded to the nearest 1000? 227000 What is -0.0117387801 rounded to six dps? -0.011739 What is 0.00038637186 rounded to 6 dps? 0.000386 Round -65558179.9 to the nearest 10000. -65560000 What is 12169.2861 rounded to the nearest 1000? 12000 What is 0.0012972989 rounded to three decimal places? 0.001 What is -0.429370174 rounded to four decimal places? -0.4294 What is 0.00005001989507 rounded to seven decimal places? 0.00005 What is -0.006122703 rounded to 5 decimal places? -0.00612 What is -69.3655 rounded to the nearest 100? -100 What is 2992397.39 rounded to the nearest 1000? 2992000 Round 0.0000220090855 to 5 dps. 0.00002 What is 0.00281498885 rounded to six dps? 0.002815 Round 32.63922039 to two decimal places. 32.64 What is -83667.208 rounded to the nearest one hundred? -83700 Round 3228776.09 to the nearest 10000. 3230000 What is -0.0149681125 rounded to three decimal places? -0.015 What is -5721375.2 rounded to the nearest 1000? -5721000 Round 34235514.5 to the nearest one million. 34000000 What is -22042239.69 rounded to the nearest 10000? -22040000 What is 70929311.8 rounded to the nearest 1000? 70929000 Round 0.0000220608472 to 6 dps. 0.000022 Round 433.14071 to the nearest one hundred. 400 Round -0.00000034731751 to 7 decimal places. -0.0000003 What is -112.9401723 rounded to zero dps? -113 Round 66331.6644 to the nearest ten. 66330 Round -0.1124801199 to three dps. -0.112 Round 0.25295389 to two decimal places. 0.25 Round -157573613.2 to the nearest 1000000. -158000000 What is 33208319 rounded to the nearest 10000? 33210000 What is 0.00006631520633 rounded to seven dps? 0.0000663 What is 224.3225345 rounded to 1 dp? 224.3 Round -0.8476955 to 1 decimal place. -0.8 What is -0.003248926407 rounded to three dps? -0.003 Round 10545546.9 to the nearest 10000. 10550000 What is -4.35019471 rounded to three decimal places? -4.35 What is 0.000255221406 rounded to 7 dps? 0.0002552 What is -44.90847718 rounded to the nearest 10? -40 Round 0.00029409694 to seven dps. 0.0002941 What is -210.97686 rounded to the nearest 10? -210 Round -8757395720 to the nearest 1000000. -8757000000 What is 760201596 rounded to the nearest one hundred thousand? 760200000 What is 288.1904575 rounded to one dp? 288.2 Round 0.00010965258793 to six dps. 0.00011 What is -16369520430 rounded to the nearest 1000000? -16370000000 What is 0.146330565 rounded to two decimal places? 0.15 Round -7028.96933 to the nearest 1000. -7000 What is -24054330.2 rounded to the nearest one hundred thousand? -24100000 What is -648.59124 rounded to one dp? -648.6 What is 13621545.3 rounded to the nearest 10000? 13620000 What is 1442195830 rounded to the nearest 100000? 1442200000 What is 149.390965 rounded to one decimal place? 149.4 Round -149449.34 to the nearest one hundred thousand. -100000 Round -0.0300392773 to 5 decimal places. -0.03004 Round 0.0288516127 to 6 decimal places.
{ "pile_set_name": "DM Mathematics" }
et d = 25 + 311. Suppose -4*t = 4, 2*z + 4*t + 175 = 5*z. Suppose -53*f + z*f = d. What is the units digit of f? 4 Let f be ((-3)/(-2))/(6/(-4)). What is the units digit of f/5 + 20968/40? 4 Suppose p - 914 = 4*h + 236, 0 = p - 2*h - 1144. Let a = 2784 - p. What is the hundreds digit of a? 6 Suppose 0 = -4*s - 0*s + 24. Suppose -113 = s*i + 37. Let n = 107 + i. What is the units digit of n? 2 Suppose 23*f - 1115538 = f - 60110. What is the units digit of f? 4 Suppose 3*c - 2*q = 4*c + 15, 2*c - q = -5. What is the units digit of (c + 12/4)/2 + 920? 9 Let r(u) = -349 - 66 - 36*u + 79 + 6*u**2 + u. What is the hundreds digit of r(-11)? 7 Let a(y) = 430*y**2 + y - 1. Suppose 5*n - 7*n + 4 = v, 0 = 2*v - 4. What is the tens digit of a(n)? 3 Suppose -52 + 277 = 5*u. What is the tens digit of u? 4 Let q(b) = b**2 - 10*b + 33. Let o be q(5). What is the tens digit of 6/24 - (-2918)/o? 6 Suppose -4*k = -y - 11479, 3*y + 8598 = -9*k + 12*k. Suppose -5*i + m = -6135, 2023 + k = 4*i + 2*m. What is the tens digit of i? 2 Let l be 36/(-14)*(52/12 + -9). What is the hundreds digit of (41972/16)/7 + (-9)/l? 3 Suppose -2*u + h + 91799 = 0, 13*u - 10*h = -14*h + 596599. What is the thousands digit of u? 5 Let n(i) = 3*i**2 + 2*i + 1. Let h be n(-1). Suppose -8*q + 22 = -h. Suppose 2*c - 56 = -2*b, q*b = 8*c - 4*c - 77. What is the units digit of c? 3 Let g = 71860 - 9827. What is the hundreds digit of g? 0 Suppose -101*f - 48*f + 340763 = 0. What is the units digit of f? 7 Let c(z) = 358*z**2 - 5*z + 2 + 3*z - z - 100*z**2. What is the tens digit of c(1)? 5 Let n(u) = -5*u**3 + 6*u**2 + u - 3. Suppose -3 - 1 = h. What is the hundreds digit of n(h)? 4 Let a = 21 + 7. Suppose 25*b - a*b + 27 = 0. Suppose 0 = b*f + f - 790. What is the units digit of f? 9 Let v(q) = 281*q + 4648. What is the hundreds digit of v(103)? 5 Suppose -2*z + 3*t + 7412 = -z, -t = 7*z - 51840. What is the units digit of z? 6 Let z(c) = c**2 + 104*c + 14905. What is the hundreds digit of z(0)? 9 Let u(t) = -12 + 10*t + 5*t - 5*t - 9. Let j be u(-7). Let v = j + 184. What is the tens digit of v? 9 Let u(j) = j**3 - 17*j**2 + 31*j - 11. Let h be u(15). Suppose 6*o - h*w - 268 = 2*o, 3*o - 217 = -5*w. Suppose 4*v = 353 - o. What is the units digit of v? 1 Let m(f) = -1124*f**3 - f**2 - 1114*f - 3345. What is the ten thousands digit of m(-3)? 3 Let i(s) = 18*s**2 - 8*s - 52. Let c be i(-10). Suppose -4*a + 16 = 0, 0 = -t + 81*a - 84*a + c. What is the hundreds digit of t? 8 Let t(o) = 13*o + 11. Let h(j) = 14*j + 10. Let k(c) = -2*h(c) + 3*t(c). Let x be k(-12). Let s = x - -205. What is the units digit of s? 6 Let x = -42 + 39. Let b be ((x/(-2))/(1/(-6)))/1. Let u(f) = -f**3 - 9*f**2 - 5*f - 18. What is the tens digit of u(b)? 2 Suppose 22*q - 15232 = 54*q. Let g = 1570 + q. What is the thousands digit of g? 1 Suppose -2*u + 3*p = -7215, 2 = -0*p - 2*p. What is the hundreds digit of u? 6 Let d(v) = 4*v**2 + 19*v - 636. What is the units digit of d(-53)? 3 Let l(r) be the second derivative of r**4/3 - 2*r**3 - 13*r**2 - 29*r + 1. What is the hundreds digit of l(12)? 4 Let h = -2870 + 10928. What is the tens digit of h? 5 Let n be 628 + (69/15 - (-2)/5). What is the hundreds digit of (0/(-9) - (0 - -4)) + n? 6 Let d(b) = -9*b**3 + 3*b**2 + 12*b + 9. Let w be d(-4). Let v(k) = -k + 3. Let p be v(-7). Suppose p*i = i + w. What is the tens digit of i? 6 Suppose 868150 = -13*m + 63*m. What is the units digit of m? 3 Suppose -2*d + 6*d - 840 = 0. Let k = -554 - -936. Let a = k - d. What is the hundreds digit of a? 1 Suppose 5*v + 4*f = -997, -3*f + 1011 = -5*v - 0*f. Suppose -903 = -3*g + 2*q, -5*g - 2*q + 470 = -1019. Let p = v + g. What is the tens digit of p? 9 Suppose -1219 = -p + 466. Suppose -4*c = 4*n - 6820, 5*n - p = 4*n - 5*c. What is the units digit of n? 0 Let b = 62 + -66. Let l be (-3 - b - 1)*-1. Suppose 33*v - 34*v + 63 = l. What is the tens digit of v? 6 Suppose -22 = 3*w - 8*c + 3*c, -w - 3*c + 2 = 0. What is the hundreds digit of 3 + (w - -173) + 3 + 0? 1 Let v = -11813 - -37560. What is the ten thousands digit of v? 2 What is the units digit of 15/12 - 585143/52*-1? 4 Let f(t) be the second derivative of t**4/12 - 25*t**3/6 + 12*t**2 - 20*t. Let m be f(24). Suppose -9*b + 412 + 236 = m. What is the units digit of b? 2 Let y(z) = z**3 - 22*z**2 + 38*z + 53. Let q be y(19). Let x = 725 + q. What is the tens digit of x? 1 Let b(c) = -1713*c + 22. Let s = 113 - 114. What is the tens digit of b(s)? 3 Suppose 3*w + 850 = -122. Let s = w + 389. What is the tens digit of s? 6 Let s = -11038 + 20531. What is the hundreds digit of s? 4 Suppose -8 = 2*d + 2, 2*i - d - 5 = 0. Suppose i = 31*r - 35*r + 8. What is the units digit of 162 - r - (-4 + 0)? 4 Let a(r) = -r**3 + 18*r**2 - 19*r + 37. Let m be a(17). What is the units digit of (-11)/((-3)/117*m)? 3 Suppose -22*y + 260202 - 75644 = 0. What is the thousands digit of y? 8 Let h be -18*(-6 - 95/(-15)). What is the units digit of 20*(-75)/h*1? 0 Let b(n) = 165*n**3 + 11*n**2 - 5*n - 5. Let z(q) = 33*q**3 + 2*q**2 - q - 1. Let t(w) = 2*b(w) - 11*z(w). Let m = 3 + -4. What is the tens digit of t(m)? 3 Let j = 125 - 77. Let r = j + -44. Let x(m) = 2*m**3 - 4*m**2 + 5*m + 8. What is the units digit of x(r)? 2 Suppose 0 = 14*m - 52 - 18. Suppose 20 = m*s - s. Suppose s*p - 2*p - 144 = 0. What is the tens digit of p? 4 Let p = -483 - -13918. What is the tens digit of p? 3 Suppose 10*m + 14 - 54 = 0. Suppose -4*s + s + 3*i = 111, s + m*i = -52. Let y = s + 65. What is the tens digit of y? 2 Let n be (-16)/(-168)*-3 + (-111)/(-21). Suppose -n*a + 3681 = 196. What is the tens digit of a? 9 Let i = 31074 + 10718. What is the tens digit of i? 9 Suppose -19*v + 22230 = -13*v. Suppose -v = 8*t - 13593. What is the thousands digit of t? 1 Let b be 16 + -18 + (-1 - 1). Let v(h) = 12*h + 6. Let c be v(b). Let n = 138 + c. What is the tens digit of n? 9 Suppose -3*y = 5*i - 19203, -53624 + 21650 = -5*y + 2*i. What is the units digit of y? 6 Suppose w - 34817 = 4*a, -4*w - 2*a = 3*a - 139184. What is the thousands digit of w? 4 Suppose 0 = -i - 14 + 26. Suppose 2*o + i = 6*o. Suppose 5*k = 3*q - 6*q + 69, 0 = -o*q - 2*k + 78. What is the units digit of q? 8 Let d(u) be the first derivative of -26*u**2 - 8*u + 245. Suppose 4*p + 4 + 23 = 3*w, w - 14 = 3*p. What is the tens digit of d(p)? 4 Suppose -4*t - 2*w = -286, t - 3*w - 36 = 46. Let x be (-49)/7 - (2 - 3). What is the units digit of t + (x - (1 + -4))? 0 Let d(i) = 27*i**2 + 22*i + 40. What is the units digit of d(5)? 5 Let p be 3 + 5 + 6 + -5 + -3. What is the hundreds digit of 15/p*(-17208)/(-45)? 9 Let h(j) = -j**2 - 22*j + 3. Suppose 3*t = 5*s + 59, 22 = -s + 4*t - 0*t. What is the hundreds digit of h(s)? 1 Suppose -105097 = -4*g - 0*u + 5*u, 3*g - 78831 = u. What is the tens digit of g? 7 Let u be (317/2)/((-2)/4). Let k = u + 602. What is the tens digit of k? 8 Suppose 8118*l - 8092*l = 454688. What is the ten thousands digit of l? 1 Let u = -94 - -59. Let w = 37 + u. Suppose 0 = -2*f + t + w*t + 108, -4*f + 228 = -3*t. What is the tens digit of f? 6 Let t(o) = 33*o**2 - 35*o - 756. What is the ten thousands digit of t(-20)? 1 Let m(a) be the first derivative of -a**3 + 60*a**2 - 18*a - 72. What is the hundreds digit of m(31)? 8 Let s(j) = 3368*j + 5245. What is the tens digit of s(7)? 2 Suppose 5*x - 21 - 29 = 0. Suppose -x*a + 8*a = -8. Suppose -3*g - a*b + 302 = 0, 3*g - 185 = 4*b + 101. What is the tens digit of g? 9 Let t(j) = j**3 - 13*j**2 - 56*j - 9. Let g be (12/5)/((-42)/(-315)). What is the hundreds digit of t(g)? 6 Let a be (6/4 - 1)/((-21)/19194). Let d = 1545 + a. What is the units digit of d? 8 Let d(y) = 45*y**3 + 28*y**2 + 2*y - 22. What is the hundreds digit of d(7)? 7 What is the hundreds digit of ((-19)/((-760)/(-1024)))/(1/(-610)*1)? 6 Suppose 29*q - 28067 = -9304. Let u = q + -247. What is the tens digit of u? 0 Let q = 88 - 115. Let z be (-27)/4*36/q. Suppose 0 = -z*w + 96 + 300. What is the tens digit of w? 4 Let x = -80 + 116. Suppose x = -2*u + 36. Suppose u = 8*r + 142 - 822. What is the units digit of r? 5 Suppose -18*q - g = -17*q + 6, g + 30 = -5*q. Let l(k) = -11*k - 3 + 4 - 34 - 15. What is the units digit of l(q)? 8 Let k be (-2)/3 + 6940/15. Suppose k = 6*x
{ "pile_set_name": "DM Mathematics" }
2)*(3 + 0 - 5)*(-4 + 4 - 3)*(2 + o - 2) to j + w*o and give w. 96 Express -6*r + 4*r + 90 + r - r as o*r + b and give b. 90 Rearrange (j**2 + 0 + 0 + 34*j + 9*j**2 - 34*j + (-5 + 5 + 2*j)*(2 - 2 - 2*j))*(-5*j - 7 + 7) to a*j**3 + p*j**2 + o*j + z and give p. 0 Rearrange -412*k**2 + 414*k**2 - 178*k + 176*k + 9 to a + z*k + w*k**2 and give a. 9 Express (-3*q + 2*q + 9*q)*(-3 + q + 3) + (76 - 60 - 45)*(0*q**2 - 2*q**2 + q**2) as b + z*q**2 + i*q and give b. 0 Express -22*k**3 - 1 - 1 - 258*k**2 + 0 + 259*k**2 - k**4 in the form x*k + c*k**3 + a + z*k**2 + d*k**4 and give c. -22 Rearrange -246 - 1031*n**2 + 37 - 3*n**3 + 1032*n**2 to h*n**3 + d*n**2 + r*n + s and give h. -3 Express (g + 4*g - 4*g)*(2 - 5 + 4) - 54070 + 54070 - 226*g + (-g - g + 0 + 2)*(-2 + 2 + 1) in the form h + j*g and give j. -227 Rearrange (0*v - 2*v + 0*v)*(2 - 1 - 3) + 103*v - 100*v + 24 - 7 to the form h*v + d and give d. 17 Express 2*y**3 + 2 - 173*y**4 + 346*y**4 - 161*y**4 - y**2 as h*y**2 + z*y + f*y**4 + j*y**3 + l and give h. -1 Express 86*x + 60*x + 44*x in the form n + g*x and give g. 190 Rearrange u**4 - 92 - 105*u - 4*u**2 + 5*u**4 - 7*u**4 + 92 to x*u + f*u**2 + t*u**4 + o*u**3 + c and give f. -4 Express 18*i + 15 - 28 - 2*i**3 + i**3 - 20*i as q*i**2 + g + j*i**3 + y*i and give g. -13 Rearrange (166 - 3998*r - 488 + 165 + 157)*(-1 + 0 + 0) to i + f*r and give f. 3998 Rearrange (t**3 - 3*t**3 + 0*t**3)*(4*t + 10 - 10)*(-9 + 2 - 8) to d*t**2 + g*t**4 + l + b*t + u*t**3 and give b. 0 Express -8*c**3 - c**2 + 21 - c**2 + 5*c**3 + 0*c**3 - c in the form w*c**2 + o*c**3 + v*c + m and give w. -2 Rearrange 43 + 2*h + 45 - 4*h**2 - 85 - 9*h**2 to the form q*h**2 + p*h + a and give q. -13 Express -61707 + 61644 - a**2 - a**2 - 2*a**3 as u + z*a**2 + i*a + d*a**3 and give u. -63 Rearrange (-6 - 2 + 2)*(-6 - 2*u + 6) + (4*u - 2 - 13*u - 6*u)*(-1 + 2 - 4) to the form o + j*u and give j. 57 Express 1070 - 53*b**2 - b**4 - 1073 - 3*b + 5*b in the form i + f*b**3 + h*b**4 + v*b + y*b**2 and give y. -53 Rearrange 5*x + 29 - 2*x - 2*x - 2*x + 5*x to the form t + y*x and give y. 4 Express y - y - 2*y**3 + (y**2 - 7 + 7)*(-94 - 64 + y + 46) as k*y + a*y**3 + l + z*y**2 and give z. -112 Rearrange -5 + 7 + 435*m**2 - 409*m**2 to the form a*m**2 + g + w*m and give g. 2 Rearrange 3*z**4 + z**4 + 2*z**4 + (3*z**3 + 1 - 1)*(3*z + z - 2*z) + 72*z**4 + 388*z - 388*z to k*z + b*z**3 + f*z**4 + s + p*z**2 and give f. 84 Express (2*c + 2 - 2)*(-2 + 2 + 2*c**2) + (7*c**2 - 3*c**2 - c**2)*(-62 + 62 + 32*c) as r + k*c + m*c**3 + w*c**2 and give m. 100 Rearrange -80*c**3 + 38*c**2 - 76*c - 36*c**2 + 75*c to n*c**2 + i + j*c**3 + l*c and give l. -1 Express -5 + 9*k**3 - 211*k**2 + 10 - 1 - 5 - 7*k**3 as c*k + w*k**2 + y + x*k**3 and give x. 2 Express -253 - 3*b**2 + 4*b + 257 + 3*b + b**3 + 2*b**2 as y*b**3 + u + z*b + r*b**2 and give r. -1 Express (-4 + 3 - 1)*(-2 + 2 - k + (2*k - 3*k + 2*k)*(5 - 4 + 2) + 1 - 1 + k + 88*k - 42*k - 37*k)*(5*k - 3*k + k) as g*k + h*k**2 + i and give h. -72 Express -337*o**4 + 18*o**4 - 896*o**4 + (0*o**2 + 0*o**2 + 2*o**4)*(-3 + 1 + 1) + 3*o**4 - o**4 - 4*o**4 as z*o + p*o**2 + c*o**3 + i + y*o**4 and give y. -1219 Express 102 - 84*q**3 - 55 - 3*q - 44 + q**2 as i + v*q + r*q**2 + x*q**3 and give x. -84 Rearrange -2 + 0 + 8 - 9*o**2 + 9 + 9 to the form l + n*o + g*o**2 and give g. -9 Rearrange 2*u + 3*u - 6*u**2 - 7*u**2 + 4 - 6*u + 0*u to the form f + q*u + w*u**2 and give f. 4 Rearrange (-4 - 1 + 3)*(-3 + 0 + 5)*(0 + 0 - 4*p) + 11 - 9*p - 11 to the form r + c*p and give r. 0 Express 2*g - 8 + 141*g**2 - 2 + 12 - 2 in the form r*g**2 + y + z*g and give z. 2 Rearrange 2*d - 3*d**2 - 2*d + (19 - 7 - 13 - 13*d**2)*(0 - 7 + 1) to the form p*d + u*d**2 + h and give u. 75 Express (-2 + 3 - 2)*(-7 + 2 + 3)*(5 + 0 - 2)*(245*b - 162*b - 363*b) as x*b + v and give x. -1680 Rearrange -2*c**2 + 4*c - 12 + 2*c**3 - 7 + 22 to the form u*c + m + q*c**3 + t*c**2 and give q. 2 Express (12*r - 3*r + 9*r)*(12*r + 19*r - 72*r) in the form k + l*r + j*r**2 and give j. -738 Express z + 12*z - 106*z - 3 - 24*z - 35*z in the form y + h*z and give h. -152 Express (-1 - h + 1)*(-2 + 16 + 13)*(0 + 2 - 3)*(2 - 3 + 2) as y + q*h and give q. 27 Express (1 - 2*u - 1 + (4*u - 2*u + 0*u)*(3 - 1 - 4) - 2*u + u + 6*u)*(-29 - 22 + 36) in the form o + b*u and give b. 15 Express (6 - 2 - 3)*(21 - 21 - 4*n**2) + 5 + 2*n**2 + n**2 + 1 as u + a*n**2 + r*n and give u. 6 Express (-5*l + l + 2*l)*(-3 - l + 3 - 3*l - l + 3*l + 0 - l + 0 + (-2 + 3 + 0)*(0*l + l - 3*l) - 2561 + 2561 - 906*l) in the form g*l + m*l**2 + c and give m. 1822 Express (9 + 7 - 7)*(-83 + 56*h**2 + 83) as c*h**2 + t*h + w and give c. 504 Rearrange -y**2 + 5*y**3 - 49 - 3 - y + 30 to j*y + q*y**2 + z + v*y**3 and give z. -22 Express f - 58 - 4*f - 66 + 187 - 77 as m*f + i and give i. -14 Rearrange 38*n**4 + 2 - 49*n**4 + 3*n - 6*n**2 + n**3 + 12*n**4 to r*n**3 + x*n**2 + q + z*n**4 + f*n and give q. 2 Rearrange -1208*c + 1208*c - 56 - 2*c**2 to the form o*c**2 + b*c + w and give o. -2 Rearrange (4 + 4 + 4)*(-o - 4*o + 3*o)*(20 - 42 - 22) to the form s*o + c and give s. 1056 Rearrange 45*j - 108*j + 112*j**3 + 58*j to k*j**3 + o + z*j**2 + n*j and give k. 112 Rearrange (5*n + 0*n - 4*n)*(-2 - 2 + 2)*(870 - 1746 + 867) to w + d*n and give w. 0 Rearrange -2*b**2 + 4*b**2 + 3*b**2 - 4*b**2 - 2*b + 2 + 3*b**2 - 27*b**3 to v*b + l*b**3 + u*b**2 + s and give l. -27 Rearrange 528*i - 526*i - i**3 + 5 - 11 + 2*i**4 to r*i**3 + o*i + g + j*i**2 + k*i**4 and give o. 2 Rearrange -93*v - 8 + 10 - 2 to c + t*v and give t. -93 Express -36*l + 174*l - 49*l + 160*l as c*l + o and give c. 249 Rearrange 92 + 31*g - 24*g - 8*g + g**2 to f*g**2 + w*g + a and give a. 92 Express (-295 + 152 + 161)*(49*r - 31 + 11*r + 30) as g + c*r and give g. -18 Express -185776 + 185776 + 682*o + (-o - 2*o + o)*(1 - 1 - 1) as g*o + r and give g. 684 Rearrange (44*f + 583*f**2 - 530*f**2 - 43*f + 3)*((-2 + f + 2)*(2 - 3 + 0) + f + 3*f - 2*f) to the form m*f**2 + a + i*f**3 + z*f and give i. 53 Express -360*s + 692*s + 1215*s + 772*s - 362*s as v*s + y and give v. 1957 Express (-11 + 0 - 2)*(-3*q + 0 + 0)*(-3*q + 3*q - 3*q + (-2*q - 2*q + 5*q)*(-1 - 2 + 5)) in the form w*q + o + i*q**2 and give i. -39 Rearrange -488*z + 245*z + 137*z**2 + 244*z to q*z**2 + w*z + c and give w. 1 Rearrange (205*t - 7531 + 7531)*(2*t**2 - 2*t**2 + 3*t**2 + 0 + 0 - t**2 + (7*t - 3*t - 2*t)*(t + 0*t + t)) to the form y*t**3 + f*t + l + k*t**2 and give y. 1230 Express 130 - 261 + 130 + 7*q**3 + q in the form l + z*q**3 + y*q + b*q**2 and give y. 1 Express 9 - w**3 + 12 - w - 23 - 13*w**2 as s*w + d + r*w**3 + p*w**2 and give r. -1 Express 36*r**3 - 7*r - 2*r + 24*r**3 - 73*r**3 as i*r**2 + u + b*r + y*r**3 and give y. -13 Rearrange -y - 63*y**3 + 129*y**3 - y + 2 - 62*y**3 to the form s*y + c + o*y**2 + l*y**3 and give c. 2 Rearrange (-2*y**2 + 4*y**3 + 2*y**2)*(-18*y - 1426 + 1426)*(3 - 1 - 3) to the form t + v*y**2 + x*y**4 + k*y + u*y**3 and give x. 72 Rearrange -3*g - 6*g + 3*g + (-2 - 1 + 1)*(-18 + 11*g + 18) to o + j*g and give j. -28 Rearrange (-1 - 3*t + 1)*(196 + 854 - 68) to the form f + r*t and give r. -2946 Express -13 - 2*z**4 - 15*z**2 + 1 - 4*z**3 + 13 as v*z**3 + x*z**4 + w + h*z**2 + g*z and give h. -15 Rearrange 1659*k - 299*k - 5*k + 151*k + 1152*k to m + u*k and give u. 2658 Express -31*y**3 + 25*y**3 - 34 - 3*y**2 - y**4 - 2*y + 32 as j*y**2 + k*y**3 + s + i*y**4 + a*y and give a. -2 Express -47 - 50 + 518*c + 97 - 2*c**2 as v + z*c**2 + k*c and give z. -2 Express (-2*b + 3*b - 3*b)*(-2 + 7 - 2)*(-7 + 10 + 2)*(5 - 2 - 4)*(-b - 1 + 1) in the form m*b + j + r*b**2 and give r. -30 Express -1 + 1 - d**3 + (d + 2 - 2)*(-2*d**2 + 0*d**2 + d**2) + 7*d**2 - d**3 + 206 - 391 + 229 in the form g + f*d**3 + l*d**2 + r*d and give r. 0 Rearrange 0 + 6 - 902*t - 7 + 1 to the form w + g*t and give g. -902 Rearrange -74*v**2 + 0 - 4 + 9*v**2 + 4 + 3*v**3 to the form i*v + g*v**3 + q + p*v**2 and give p. -65 Rearrange (5*g + 2*g - 4*g)*(g - 2*g + 3*g) + g**2 + 4*g**2 - g**2 + 3*g**2 + 0 + 0 to the form q*g + j + v*g**2 and give v. 13 Express 1562*a + 391*a + 357*a in the form h + k*a and give k. 2310 Express 7*m**4 + 7*m**4 - 7*m**2 + 3*m - 2 + 0*m**3 + 2*m**3 + 9*m**4 - 26*m**4 as x + d
{ "pile_set_name": "DM Mathematics" }
28 -284 times -672121 190882364 What is the product of 0.163 and 9612? 1566.756 What is -39839521 times 0.5? -19919760.5 0.172 times -971792 -167148.224 Product of -99610.97 and 5. -498054.85 What is the product of 1312038 and 71? 93154698 What is the product of -0.094 and -139.93? 13.15342 What is 1 times -10611208? -10611208 What is -3077 times 1217? -3744709 Product of -4345787 and -0.7. 3042050.9 Multiply -0.01 and -499305. 4993.05 4.54970089 times 0 0 142.031 times -35 -4971.085 -0.07*707874.3 -49551.201 Product of 0.1 and 8.1334007. 0.81334007 6.459 * -59.1 -381.7269 18*-2746.94 -49444.92 0.137981 times 4273 589.592813 22.3 times 31806 709273.8 Calculate 29*-483.367. -14017.643 50321 * -119 -5988199 -973157 * -227 220906639 Calculate -700619256*-0.5. 350309628 4 * 0.5044079 2.0176316 -3333*-0.2747 915.5751 Multiply -2623 and -29.61. 77667.03 1869 * -4169 -7791861 What is the product of -294537051 and 0.2? -58907410.2 Work out 58250 * -1684. -98093000 Work out -341 * 25221. -8600361 Multiply -0.4 and 9036181. -3614472.4 What is the product of 0.06 and 0.037522944? 0.00225137664 Product of 0.0558734 and 266. 14.8623244 Calculate -1116632*-0.036. 40198.752 Calculate -90.5*-3.6624. 331.4472 What is the product of 9299095 and 0.1? 929909.5 What is the product of -197 and 35537? -7000789 -60.9 times -0.4616 28.11144 -848*0.02792 -23.67616 Product of -1.862573 and -0.85. 1.58318705 -104.3 times -62551 6524069.3 What is the product of -11289 and 0.1614? -1822.0446 -5456 * -1.603 8745.968 Work out -0.11 * -30.87182. 3.3959002 15 * -21.065683 -315.985245 Product of 117 and -751.787. -87959.079 Work out 4588.0359 * 0.5. 2294.01795 What is the product of -0.053032 and 46? -2.439472 3 * 2202079 6606237 Multiply -2 and -1063375. 2126750 -1.0096 * -1051 1061.0896 2434 * 3.71 9030.14 -686042093 * -1 686042093 What is -2550681 times -5? 12753405 Multiply 73 and 4918. 359014 -71686*-254.2 18222581.2 What is the product of -321110.76 and -0.4? 128444.304 Calculate -1.51*12216.6. -18447.066 What is -0.255 times -91706? 23385.03 Multiply -3143037 and -0.07. 220012.59 What is the product of -0.8 and -0.0223779? 0.01790232 Calculate 0.35*1415898. 495564.3 Work out -0.18 * -535167. 96330.06 -6 times 12371.1 -74226.6 Work out -0.1 * -0.1199449. 0.01199449 -0.2 * 6784716 -1356943.2 Work out 0.58826354 * -0.1. -0.058826354 Work out -219628 * 0.26. -57103.28 Multiply -0.9 and 548.1821. -493.36389 Product of -135926.35 and -19. 2582600.65 Calculate -19.7*-316.7919. 6240.80043 16023174 times 8 128185392 Multiply 262147585 and 4. 1048590340 Product of 0.4 and 43009831. 17203932.4 Calculate -0.5*-15867910. 7933955 Work out -2 * 119299159. -238598318 3 * -2335530 -7006590 -58.166*1934 -112493.044 Multiply 0.2 and 4889.565. 977.913 What is 25895171 times -0.3? -7768551.3 0.5 * -52256.159 -26128.0795 Calculate 0.06*-8992959. -539577.54 What is the product of 728 and 1456.2? 1060113.6 Work out 0.12 * 2.5404073. 0.304848876 Product of 4.2418 and -26.49. -112.365282 -9 times 364.776 -3282.984 Multiply -140075.927 and 1. -140075.927 -677211*0.3 -203163.3 -283436*451 -127829636 Work out -75 * -47.62. 3571.5 -3602 times -0.4504 1622.3408 3 times 13870.99 41612.97 What is -22.067283 times -3? 66.201849 -29109 times 75 -2183175 -80047445*0.2 -16009489 8.784 * 2905 25517.52 5989050 * 0.4 2395620 What is the product of -25.57541 and -0.2? 5.115082 617*0.004817 2.972089 What is 4 times -52.068128? -208.272512 -388*0.02456 -9.52928 -6*181097335 -1086584010 What is the product of -27176.54 and 0.3? -8152.962 Calculate 2688*649. 1744512 0.8*-0.072775758 -0.0582206064 -0.14 * 1213.8686 -169.941604 Product of -33118 and 695.3. -23026945.4 -1623*1784.92 -2896925.16 Work out 585 * 167.4485. 97957.3725 What is 56519083 times -0.27? -15260152.41 Work out -166.74 * 66. -11004.84 -0.057963 * 674 -39.067062 Calculate 228*374.566. 85401.048 Calculate -27175*3183. -86498025 Calculate -192.3*1491.4. -286796.22 Product of 7 and -144.967222. -1014.770554 Product of -1.35 and -41999. 56698.65 Calculate 2.3392*-7.54. -17.637568 4 times 278.1091 1112.4364 Product of -0.03 and -4.523115. 0.13569345 Multiply -0.259 and 4.7237. -1.2234383 Product of -127145 and -0.55. 69929.75 Calculate 1*1.21164459. 1.21164459 Work out -309.978518 * 0. 0 Work out -0.057042 * 21. -1.197882 Product of -8.46 and -181615. 1536462.9 What is the product of -30.9 and 5455.35? -168570.315 What is the product of -11 and -749229.7? 8241526.7 Work out 0 * 103407174. 0 What is 27855 times 1274.2? 35492841 Multiply -0.2 and 0.7528063. -0.15056126 What is the product of 0 and 121757.07? 0 Calculate -3*2100252. -6300756 What is -97773.398 times 0.4? -39109.3592 Work out -0.033 * -580582. 19159.206 Product of 684 and -19846. -13574664 464.8*0.3648 169.55904 1*3.326174 3.326174 Multiply -9 and -24406825. 219661425 What is the product of 2981649 and 0.1? 298164.9 Product of 493136835 and -0.4. -197254734 What is the product of 976 and 44.2? 43139.2 -3139.6 * -0.021 65.9316 What is -1900591 times 2.5? -4751477.5 Product of -8871.09 and 0.15. -1330.6635 Calculate -0.048071*154. -7.402934 1098634 * 1 1098634 Product of -0.3 and 0.1389789. -0.04169367 What is -2 times -2.99715? 5.9943 What is 19573 times -0.44544? -8718.59712 Work out -5 * -41368035. 206840175 Calculate 559.36*0.023. 12.86528 Product of 3.573 and 32883. 117490.959 Product of -1.98 and 19944.3. -39489.714 Work out 180 * 2990912. 538364160 1 times -336.01312 -336.01312 What is the product of -0.26 and 6029092? -1567563.92 Calculate 4836.1841*0. 0 -2 * 62003833 -124007666 Calculate 85964.1746*2. 171928.3492 What is -4911 times -21.93? 107698.23 What is -734925 times -35? 25722375 Product of 121 and 1.0927. 132.2167 4235076 * -1.41 -5971457.16 -34.23*-5005 171321.15 Product of -0.43343 and 0.2626. -0.113818718 What is 18 times 0.22665? 4.0797 Calculate 58*4199254. 243556732 -212.39 * -14.39 3056.2921 Multiply -2244472 and -13. 29178136 Multiply -8.675 and 0.2205. -1.9128375 Calculate 195799114*0.4. 78319645.6 1710145 times 0.4 684058 Calculate -3.345*-6.2942. 21.054099 Calculate -742*102385. -75969670 -27.273197*4 -109.092788 196*0.0941137 18.4462852 Work out -54.30962 * -0.09. 4.8878658 What is the product of -391.206 and 4? -1564.824 Work out 254237405 * -0.2. -50847481 What is the product of 195998 and -51? -9995898 -0.21898 times -27.7 6.065746 -157059 times 5678 -891781002 -1.777 * -0.1947 0.3459819 What is the product of -1223.441 and 56? -68512.696 268 times 0.0766189 20.5338652 10064 times -1.0717 -10785.5888 Calculate -0.12*856.382. -102.76584 -162451.2 * 0.33 -53608.896 -3788*-2707.97 10257790.36 What is the product of -1.0611 and -8.5? 9.01935 What is 230586 times 4? 922344 0 times -108.4287 0 What is the product of -16704.2 and 16? -267267.2 -54799.7 times 0.52 -28495.844 What is 448.82 times 9.011? 4044.31702 What is -1842405 times 88? -162131640 -135104.21 * -5 675521.05 -663.815*5.9 -3916.5085 What is -451 times 73368? -33088968 Product of 0.45332 and -77. -34.90564 3.751211*0 0 Work out 27952242 * -2. -55904484 What is -404 times -18.383? 7426.732 What is the product of -9053 and 0.0564? -510.5892 1387.87 times 0.0508 70.503796 9558894 * -12 -114706728 -0.151 * 88.438 -13.354138 What is 31.66 times 224? 7091.84 Work out -0.1 * -1230790. 123079 What is -764786187 times -0.5? 382393093.5 -9.9 * -3.8287 37.90413 6680.4 * 262 1750264.8 What is the product of -120002 and 0.11? -13200.22 Product of 7.289228 and 4. 29.156912 Product of -118 and 3727582. -439854676 11313.648*0.3 3394.0944 Work out 2 * -26820899. -53641798 -28148363*2 -56296726 Product of 61011.59 and -0.2. -12202.318 393020 * -12 -4716240 What is the product of -3935 and 2.14292? -8432.3902 Work out -36044 * 69. -2487036 Product of 15803 and -0.75. -11852.25 Multiply 0.81 and 14712. 11916.72 What is -1 times -25.69198? 25.69198 Work out 15 * -351226. -5268390 7.822*-44769 -350183.118 Work out -25 * 1165929. -29148225 -0.18*-694481 125006.58 Multiply 0.02 and -27387.603. -547.75206 Work out 0.5 * 335814416. 167907208 What is 0.0168 times 2693150? 45244.92 Work out -2271.77 * 0.5. -1135.885 Product of -1184 and -6150. 7281600 -67.89 times -14.6 991.194 Product of 0 and 0.020680784. 0 What is 3.822 time
{ "pile_set_name": "DM Mathematics" }
Simplify (r/(r**(1/3)/r*r))**(-1/10)/(((r*r/((r**(2/21)/r)/r))/r)/r*r**(-1/3)) assuming r is positive. r**(-172/105) Simplify (r**(-2)/r)**(-10)*r**(-1)/r**(-7) assuming r is positive. r**36 Simplify (n**(-2)*n)**(-2/47) assuming n is positive. n**(2/47) Simplify (l**(-4)*l*l*l*l/l**(-2/19))/(l*l*l**7*l*l**5*l) assuming l is positive. l**(-302/19) Simplify k**(-1)*k**(1/6)/k*(k*k**0)**(-22) assuming k is positive. k**(-143/6) Simplify (((g*(g*(((g/(g/(g/(g*g/(g**2/g)*g))))/g)/g)/g)/g*g)/g)**(-30))**(-29) assuming g is positive. g**(-2610) Simplify (a**8/a**(2/3))**3 assuming a is positive. a**22 Simplify (j**(-1/4)/j)**(-23) assuming j is positive. j**(115/4) Simplify (z/(z*z**(-8)*z))/(z*z/z**(-2))*(z*z**0*z)/(z*z**(-6)) assuming z is positive. z**10 Simplify ((q**1/q)/(q/q**(1/9)))/(q**(-2)*q*q**2) assuming q is positive. q**(-17/9) Simplify (d/(d/d**(-3/19)))/d*d/(d**(-20)*d) assuming d is positive. d**(358/19) Simplify b**7*b*(b**29*b*b)/b assuming b is positive. b**38 Simplify ((b*b**8/b)/b**(1/4))**(1/3) assuming b is positive. b**(31/12) Simplify (j/j**4*j/(j*j**(-2/11)/j))**(6/17) assuming j is positive. j**(-120/187) Simplify n**1/(n*n/(n*n**(1/2)/n))*n/(n**(-4/5)*n*n)*n*n**(4/9) assuming n is positive. n**(67/90) Simplify m**(2/27)/m**(-1/9) assuming m is positive. m**(5/27) Simplify j/(j/j**13)*(j**(-25)*j)/j assuming j is positive. j**(-12) Simplify (b**(-9)*b/b**(-2/13))**(-20) assuming b is positive. b**(2040/13) Simplify (((r/(r*(r**(-9/5)*r*r*r)/r))/r)/r**(1/12))**2 assuming r is positive. r**(-77/30) Simplify ((o**(2/7)/o)/o)**(1/14)*o**(-1/4)/o**(1/4) assuming o is positive. o**(-61/98) Simplify (r**(1/2)*r**(-5/6)*r)/(r**(-2/7)/(r**(3/2)/r)) assuming r is positive. r**(61/42) Simplify (b*b**2)**(-9/10)*(b**(-2/5)*b)**(2/59) assuming b is positive. b**(-1581/590) Simplify (d*d/(d/(d/(d*d/((d*d**(-6))/d)*d))))/(d/d**0)*(d**(-1)/d)**(-2) assuming d is positive. d**(-4) Simplify (o**(5/2))**22 assuming o is positive. o**55 Simplify (s*s/(s/s**(-2))*s/(s*s**(-3)))**35 assuming s is positive. s**70 Simplify (l**8/(l*l**(-7)*l))/(l**2/(l**10*l)) assuming l is positive. l**22 Simplify ((k/(k/(k*k*k**(-3/5))))/(k*k*k**(-2/7)))/((k*k*k**(3/5)*k)/k*k**(2/3)) assuming k is positive. k**(-376/105) Simplify ((x/x**4)/x)/x*(x*x**(-1/3)/x)/x*x*x assuming x is positive. x**(-13/3) Simplify ((q**(-3/10)*q)/q)/q**(2/11) assuming q is positive. q**(-53/110) Simplify (a*(a*((a**1/a)/a)/a)/a)**(2/73)/(a/a**(-1/2))**32 assuming a is positive. a**(-3506/73) Simplify ((p**(-2/9)/p)/(p*p/((p/(p/(p/p**(-1/10)*p)*p*p)*p)/p)))/(p**(-2))**(-38) assuming p is positive. p**(-7121/90) Simplify (z**3*z**(-3/7))**(-2/3) assuming z is positive. z**(-12/7) Simplify (m**(1/22))**(-3/47) assuming m is positive. m**(-3/1034) Simplify (z/(z**(-42)/z)*z*z)/z**32 assuming z is positive. z**14 Simplify q*q*q**(-2/29)*q/q**(3/11) assuming q is positive. q**(848/319) Simplify (l**(-2)/l**(-1/15))/(l**(-2/11)*l**7) assuming l is positive. l**(-1444/165) Simplify (u**6*u)**(-1/3) assuming u is positive. u**(-7/3) Simplify (n/(n/(n**(-22)*n)))/(n/(n/n**(-13))) assuming n is positive. n**(-8) Simplify ((b*b/(b/(b/(b**0*b)*b)))/b*b*b)**(2/67) assuming b is positive. b**(6/67) Simplify (y**(-9/4)/y**(-5))**(-18/11) assuming y is positive. y**(-9/2) Simplify ((k/k**(-1/6))/k)**(14/15) assuming k is positive. k**(7/45) Simplify (a**(-7))**(-18) assuming a is positive. a**126 Simplify x**6*x/x**8 assuming x is positive. 1/x Simplify (s/(s/(s/s**(10/3))))/s**(2/23) assuming s is positive. s**(-167/69) Simplify ((j**(-2/17))**(-5/16))**(3/25) assuming j is positive. j**(3/680) Simplify v/v**1*v/v**(2/27)*v*v*v*(v*v**(2/9))/v*v*(v*v*v*v/(v*v**5)*v)/v assuming v is positive. v**(85/27) Simplify k**(-1/3)/(k*k**8*k) assuming k is positive. k**(-31/3) Simplify j**(-2/11)/(j/((j*j**(-9)*j)/j)*j*j*j) assuming j is positive. j**(-134/11) Simplify ((o**6*o)/(o/(o*o*o**4*o)))/(o*o/(o*o**0/o*o))**46 assuming o is positive. o**(-33) Simplify (s/(s*s**(3/2)))/(s/(s*s**(-7/3))) assuming s is positive. s**(-23/6) Simplify ((r/(r*r*r**6*r)*r)/r*r*r*r**(5/2))**(-1/47) assuming r is positive. r**(7/94) Simplify (a/((a/(a*a*a**6/a*a*a))/a*a)*a*a*a**(-4/5))/((a**4*a)/(a/(a/a**(-5)))) assuming a is positive. a**(1/5) Simplify (f**(-1/4)/f)**(-48)*f**(-3/4)/f*f*f**(-3/7) assuming f is positive. f**(1647/28) Simplify (s/(s/((s*s**(-3)/s)/s)*s))/s**(2/3) assuming s is positive. s**(-17/3) Simplify (l/(l*l/((l**(1/5)*l)/l*l)))**4 assuming l is positive. l**(4/5) Simplify (n**(2/5))**(8/7)*n**4/((n**(-7)/n)/n*n) assuming n is positive. n**(436/35) Simplify (p*p**(-2/9)*p*(p/(p*(p/(p*p*p*p**(-1/2)*p)*p*p)/p))/p)**(3/11) assuming p is positive. p**(41/66) Simplify (u/((u/u**1)/u))**(-19) assuming u is positive. u**(-38) Simplify t**(-2/13)/(t*t**(2/13)) assuming t is positive. t**(-17/13) Simplify d*d/(d*d/(d*d**(-3/7))*d)*(d**(-5/2)*d)/d*((d/((d*d/(d/(d**(-5)/d*d)))/d))/d)/d*d**(-3/4) assuming d is positive. d**(9/28) Simplify (t**(-3)/(t/(t**(-1/6)/t)))/(t**(2/15)*((t*t**1/t)/t)/t) assuming t is positive. t**(-43/10) Simplify (l*(l**7/l)/l)/l**(-1/7)*l/(l*l**1)*l**(1/5) assuming l is positive. l**(187/35) Simplify (j**2/(j*j**(-5)))/(j**(-1))**5 assuming j is positive. j**11 Simplify (l**(-15/4)/l)/(l/((l*l**(10/3)/l)/l)) assuming l is positive. l**(-41/12) Simplify d*d/d**7*d*((d**11*d)/d*d)/d assuming d is positive. d**7 Simplify (o**(-16)/o)/o**(-17) assuming o is positive. 1 Simplify (g**(8/3)*g)/(g/g**(-7)) assuming g is positive. g**(-13/3) Simplify (w**(3/5)/w)**5 assuming w is positive. w**(-2) Simplify (t**(-2/3)*t)/t**5 assuming t is positive. t**(-14/3) Simplify (h**(-4)*h**(-1/8))/(h**(1/3))**26 assuming h is positive. h**(-307/24) Simplify (r/(r**(-3/5)*r))/(r/(r*r*r**(1/18)/r)) assuming r is positive. r**(59/90) Simplify (x*x/(x/(x*x*x**0/x*x*x)*x))**22 assuming x is positive. x**66 Simplify (n**(4/5))**(2/55) assuming n is positive. n**(8/275) Simplify f**(-11)/(f/(f/(f**(2/3)/f))) assuming f is positive. f**(-32/3) Simplify (u*u/(u**(-5/4)/u)*u)/u**(1/4)*((u*u**(-4)*u*u)/u)/(u**(-2/5)/u) assuming u is positive. u**(22/5) Simplify (z/(z/(((z/z**(-2/15))/z)/z)))**(8/7) assuming z is positive. z**(-104/105) Simplify (j**(-16)*j)/j*(j*j**(-1))/j*j assuming j is positive. j**(-16) Simplify (j**(-1/3))**(-9/7)*j*j**1*j*j*j**(-6)*j*j assuming j is positive. j**(3/7) Simplify (c*c**(4/5))/c**(-2/21)*(c*c**(-4/5))/c**8 assuming c is positive. c**(-124/21) Simplify c*c**(-2/7)*c*c**(-3/2)/c assuming c is positive. c**(-11/14) Simplify t*(t**(2/19)*t)/t*t*t**(-5/4)*(t*t**(-1/5))/(t/t**(-2)*t) assuming t is positive. t**(-891/380) Simplify (t*t/(t**(-2/39)*t))**34 assuming t is positive. t**(1394/39) Simplify (f**(-1/11))**(-7) assuming f is positive. f**(7/11) Simplify (o/((o/(o*o**(-3)*o))/o))/(o/(o/o**(-2/11)*o))*o/(o/(o/o**(3/4)))*(o/((o**(1/3)*o)/o))/o assuming o is positive. o**(145/132) Simplify (f**(3/4))**45/(f*f**(-1)*f)**(-6/31) assuming f is positive. f**(4209/124) Simplify a**(1/20)/a**(-24) assuming a is positive. a**(481/20) Simplify ((x*(x/(x*x**(2/3)))/x*x)/x*(x/x**8*x)/x)**(-13/2) assuming x is positive. x**(299/6) Simplify (b**(-1))**(1/8)*((b/b**(-1))/b*b)**(-1/7) assuming b is positive. b**(-23/56) Simplify g/(g/(g**(-2/5)/g)*g)*g**(2/11)*g/g**(2/13)*g*g**(-1/3) assuming g is positive. g**(-1513/2145) Simplify (o*o**6)**(2/3) assuming o is positive. o**(14/3) Simplify ((l*l*l**(1/4))/l)**(-36)*(l/(l**(-3/8)/l))/l**(2/3) assuming l is positive. l**(-1039/24) Simplify ((a**(-1/13)*a)/a**(-5))**(-2/65) assuming a is positive. a**(-154/845) Simplify (y**(2/11)*y**(-4))/((y/y**(-6/7))/(y*y*y**(-3))) assuming y is positive. y**(-514/77) Simplify f*f**(-7)*f*f*f/(f*f**(2/23)/f)*f*f*f**(-1/2)*f**(-4) assuming f is positive. f**(-257/46) Simplify a**(-2/3)*a*a**(-2/85)*a assuming a is positive. a**(334/255) Simplify (t**(1/26))**46 assuming t is positive. t**(23/13) Simplify (s*s**(-2/5))**(-46) assuming s is positive. s**(-138/5) Simplify (y**(2/3)*y)**(-5/13) assuming y is positive. y**(-25/39) Simplify z**10*z**4*(z/z**(1/3)*z)/((z**(-3)*z)/z) assuming z is positive. z**(56/3) Simplify (k**(-12)/k*k)**(-1/11) assuming k is positive. k**(12/11) Simplify (i**(-2/17)/((i*i**(-5/2)/i*i
{ "pile_set_name": "DM Mathematics" }
1/28 and h? 140 Let n = 10 + -7. Suppose o + 4 = n*o. Suppose 6*r = r + 50. Calculate the lowest common multiple of o and r. 10 Let c = -4330 + 77825/18. What is the common denominator of c and 2/6*1 + (-330)/(-72)? 36 Find the common denominator of 260/2*(-6)/(-96) and 49/18. 72 What is the smallest common multiple of ((-45)/6)/(-5)*4 and 14? 42 Let j(c) = -c + 40. Calculate the smallest common multiple of 5 and j(6). 170 Let m be (8 - 23)/((-6)/(-8)). Find the common denominator of 127/10 + 4/m and (2/(-24))/(1/250). 6 Suppose 3*i = -4 - 2. Calculate the common denominator of (18/96)/(i/(-152)) and 83/6. 12 Let o(k) = -k**3 + 8*k**2 - 6*k - 2. Let j be o(7). Let w(d) = -6*d**2 + 2*d**3 + 0*d - d**3 + 3*d + 4*d. Calculate the least common multiple of 18 and w(j). 90 Suppose 0 = -3*c + 5*f + 72, -c - 2*c + f + 60 = 0. Let a(g) = 4 + c + g - 5. What is the lowest common multiple of a(0) and 8? 72 What is the lowest common multiple of (-1)/(6/4) - 1947/(-99) and 10? 190 Suppose t + 0*t = -2*a + 6, 24 = -4*t + 4*a. What is the common denominator of 3/4 and ((-3)/18)/(t/89)? 12 Suppose 0 = -0*t + 2*t - 40. Let v = t - 24. What is the common denominator of v and 51/5? 5 Let k = 779 + -2932. Let v = k - -8699/4. Calculate the common denominator of v and -39/16. 16 Suppose 3*v - 11 = a - 5*a, -4*a + v = 9. Let s = a + 0. Calculate the lowest common multiple of 3 and 0/((-1)/s) + 6. 6 Suppose 2*q = r + 5*q - 12, -4 = -r + q. Suppose 2*h = r*h + 84. Let d = h - -35. Calculate the lowest common multiple of 10 and d. 70 Suppose -t - 17 = -3*b, 0 = -6*b + 4*b + 4*t + 8. Calculate the smallest common multiple of b and 7. 42 Let g = -795029/129260 + 4/6463. What is the common denominator of 59/22 and g? 220 Suppose 3*u + 35 = -2*u. Let b = u + 9. Suppose 15 = -b*k + 7*k. Calculate the lowest common multiple of 4 and k. 12 Let b be 0 - -2 - 0 - -3. Suppose 7 - 2 = -5*g, 2*g = -b*t + 13. Suppose 29 = 3*p - 4. Calculate the least common multiple of t and p. 33 Let l = 441 + -4841/11. Find the common denominator of -61/46 and l. 506 Suppose 5*o + 10 = 50. Suppose 5*j - d = -5*d + 80, 4 = 2*j - 4*d. What is the lowest common multiple of j and o? 24 Suppose 4*m + 2 - 18 = 0. Suppose -z + 3 + m = 0. Calculate the least common multiple of 9 and z. 63 Let r(b) be the first derivative of 2*b**3/3 + 5*b**2/2 - 4*b + 4. Calculate the least common multiple of 11 and r(-4). 88 Find the common denominator of -24 and ((-245)/(-15) - -3) + -4. 3 Let k = 49/74 - 6/37. Let q be 2/4 + (-4443)/(-6). Let o = q + -3677/5. Find the common denominator of o and k. 10 Let n = -25 + 60. Find the common denominator of -19/4 and (-151)/(-35) + 10/n. 20 Let x = 5 - 1. Let p(b) = 3*b - 1. Let u be p(3). Suppose -u - 14 = -2*w. What is the smallest common multiple of w and x? 44 Suppose 0 = g + 2*g - 105. Let i(k) = -13*k + 9. Let l be i(-10). Calculate the common denominator of (l/5)/(42/g) and 16. 6 Suppose 4*x - 15 = -3*z + x, 2*x - 25 = -5*z. Let d(b) = -8*b + 5. Let r be d(z). What is the common denominator of 3/4 - r/(-2) and -39/11? 44 Let s = 7723/3246240 - 2/6763. Let b = -391/480 + s. What is the common denominator of b and -43/18? 144 Let y be ((-71397)/(-210))/(-3) - 2. Let p = -612/5 - y. What is the common denominator of p and -149*2/24 + 1? 84 Suppose 7*v = 2*v - 180. Let a be (v/10)/(1/(-5)). Calculate the smallest common multiple of (-2 + 3)/(1/a) and 18. 18 Let n(d) = -d**2 + 14*d - 21. What is the lowest common multiple of 4 and n(11)? 12 Let o(p) = -p**3 - 6*p**2 + 5*p - 2. Let a be o(-7). Let s = -4 + 8. What is the smallest common multiple of (-2 + 1)/((-2)/a) and s? 12 Calculate the common denominator of -65/4 and 9/(-15)*270/(-32). 16 Let c = -1460 + -298. Let d = c + 3443/2. Find the common denominator of -15/8 and d. 8 Suppose 18 = 5*t - 27. Calculate the smallest common multiple of t and -2 + 14 - (-3 - -6). 9 Let o = 57 - 36. Suppose -g + 5*b + 10 = 0, -g + b - 10 = -0. Let y = g + o. Calculate the smallest common multiple of y and 22. 66 Let q = 9214 + -27382/3. Let t = q + -86. Suppose v + v - 66 = 0. Find the common denominator of t and v. 3 Let b(o) = -o**2 - 9*o - 10. Suppose 8*y - 3*y = 20. Calculate the smallest common multiple of b(-4) and y. 20 Suppose -2*g - 2*o + 19 = -o, 5*g - 50 = -2*o. Find the common denominator of (-290)/g + 4/2 and 65/12. 12 Suppose -12 = -3*w + 2*u - 4*u, -17 = -w - 5*u. Calculate the smallest common multiple of 16 and w. 16 Let y = -12 - -3. Let b = 15 + y. Suppose -4*p + 10 = -14. Calculate the least common multiple of p and b. 6 Let t = -2 - -5. Calculate the common denominator of (-13)/(-22) + 0 + -1 and t + 0 - (-5)/4. 44 Let d = 72922 + -874579/12. Let x = -98/3 + d. Let b = -9597/278 + 3/139. Find the common denominator of x and b. 4 Let a = 3070694740688347/45300 + -67785755859. Let l = a + -6/3775. What is the common denominator of 61/12 and l? 12 Suppose -4*w - 205 = -16921. Let i = 33493/8 - w. Find the common denominator of i and 3/20*(-230)/4. 8 Let g(s) = s**2 - s - 4. Suppose 11 = -3*j - 1. Calculate the smallest common multiple of g(j) and 6. 48 Let n be (-8)/(-2954)*2/(-8). Let i = -101921/11816 - n. What is the common denominator of -9/10 and i? 40 Let n(p) = 2*p - 6. Let y(g) = -g**3 - 3*g**2 + 3*g + 1. Let q be y(-4). Calculate the lowest common multiple of n(q) and 12. 12 Let j = -236177/30 + 23629/3. Find the common denominator of 2/33 and j. 330 Let l be 6/(1/4*-3). Let s = l - -9. What is the least common multiple of 9 and s? 9 Let c be -29*(-102687)/(-3)*1. Let b be c/(-36) - 4/(-16). Let z = 27566 - b. What is the common denominator of z and 73/8? 72 Let p(k) be the third derivative of -k**4/24 + 2*k**3 + 2*k**2. What is the smallest common multiple of p(0) and 18? 36 Suppose 4*f - 2*c = -48, 2*f - 2*c = -15 - 13. Let b(h) = 6*h**2 + h + 3. Let u be b(3). Calculate the common denominator of (-48)/f*u/9 and 13. 1 Let l(u) = -8*u. What is the smallest common multiple of l(-1) and (6/(-3))/((-92)/44 + 2)? 88 What is the common denominator of 17/7 and (-4)/3*12/(-44)*-1? 77 Let a = 47 - 20. Suppose -x + a + 4 = 0. Suppose -2*v - 9 = -x. Calculate the lowest common multiple of 8 and v. 88 Let s = 45991/3172 - 563/52. Let y = -13/1342 - s. Calculate the common denominator of y and 71/20. 220 Suppose -4 = 3*l + 4*f, -2*l - 3*f - 28 = -6*l. Suppose -l*v + 14 = 4*k - 30, 3*v = -4*k + 38. What is the smallest common multiple of 10 and v? 30 Let r be 13 + -2 + 6 + -7. Suppose 11 = 3*x + 3*v - r, 0 = -4*v - 16. What is the lowest common multiple of 8 and x? 88 Let a = 1480 + -2352. Let q = a + 2641/3. What is the common denominator of q and -39/4? 12 Let x(b) = b**3 + 6*b**2 + 5*b + 2. Let f be x(-5). Suppose 0 = 4*y - 3*y - n - 25, -2*y = f*n - 46. What is the common denominator of (-1)/2*51/y and 65/16? 16 Suppose 0 = 3*y - 6 - 0. Suppose -2*f + 32 = y*f. Calculate the smallest common multiple of f and 16. 16 What is the least common multiple of (-14)/(-7) + 0/(-2) and 10? 10 Suppose -3*t + u = -25, -2*t + 5*u + 26 = 2*t. Suppose -5*g - 38 - 2 = -4*p, -4*g = -3*p + 31. Let q = t - p. What is the smallest common multiple of 10 and q? 20 Calculate the common denominator of 245/21 - (2/(-3) + 2) and 107/6. 6 Find the common denominator of -125/24 and (-46)/19*(-3)/(-9). 456 Let q = -10 - -8. Find the common denominator of (-1395)/20*q/(-6) and -101/6. 12 Let w = -1983376/15 + 132353. Let b = w - 1501/12. Find the common denominator of b and -5/22. 220 Let y = -2108/9 - -234. Suppose -240 = -6*x + 3*x. Let f = 721/9 - x. Calculate the common denominator of y and f. 9 Let r(t) be the first derivative of t**4/4 + 2*t**3 + 5*t**2/2 + 5*t + 2. Calculate the smallest common multiple of 8 and r(-5). 40 Let w = 2/655535 - -248316652/1966605. Let i = w + -416/3. Let f = 5611/3 + -1851. Find the common denominator of f and i. 15 Suppose 4*s + 3*u - 24499 = -0*u, -s = -2*u - 6111. Let t = 61277/10 - s. Let k = 239 - 503/2. Calculate the common denominator of k and t. 10 Suppose -10 = -9*d - 1. Let x(w) = -6*w - 1. Let f be x(-2). Let p = 18 - f. What is the smallest common multiple of d and p? 7 Let y(o) be the first derivative of -o**3/3 - 3*o**2 + o - 2. Calculate the lowest common multiple of y(-6) and 7. 7 Calculate
{ "pile_set_name": "DM Mathematics" }
t(11) Simplify -4*6*(sqrt(200) + -2) + -4. -240*sqrt(2) + 44 Simplify -2*(sqrt(112) - (sqrt(112) - (-6*(sqrt(112) + (sqrt(112)*-5 - sqrt(112))) + sqrt(112)))**2). -8*sqrt(7) + 201600 Simplify 6*(-2*sqrt(1900) + 4 - sqrt(1900) - sqrt(1900))**2. -1920*sqrt(19) + 182496 Simplify -5 + (sqrt(833) - (sqrt(833) + sqrt(833)*1)) + (-2*sqrt(833) - sqrt(833))**2 + 2. -7*sqrt(17) + 7494 Simplify -2 + sqrt(432). -2 + 12*sqrt(3) Simplify -5*4*(sqrt(1539) + (sqrt(1539) + 2 + sqrt(1539))*-1). 40 + 180*sqrt(19) Simplify (sqrt(108) - (sqrt(108)*2 + 2) - sqrt(108))**2. 48*sqrt(3) + 436 Simplify 1 + (sqrt(105)/sqrt(7))/sqrt(5). 1 + sqrt(3) Simplify -4 + (1 + sqrt(5))**2 + sqrt(5) - (sqrt(60)/sqrt(4))/sqrt(3). 2 + 2*sqrt(5) Simplify -4 + (1*sqrt(228))/sqrt(12) + sqrt(19) + 3. -1 + 2*sqrt(19) Simplify -2*(-5 + sqrt(153) + 1 + sqrt(153))*4. -48*sqrt(17) + 32 Simplify 4*((-5*(1 + sqrt(3)) + 2)*-5)**2. 3000*sqrt(3) + 8400 Simplify (sqrt(45)*2*5 + sqrt(45) + sqrt(45))/(-2*sqrt(900)). -3*sqrt(5)/5 Simplify 3 + (sqrt(17) - (sqrt(17) - (sqrt(119)/sqrt(7) - sqrt(17)))) + 1 + 1. 5 Simplify (sqrt(784)/sqrt(7) + 3)**2 + 3. 24*sqrt(7) + 124 Simplify ((sqrt(2) - (1 + sqrt(2) - sqrt(2))*6) + (sqrt(144)/sqrt(8))/sqrt(9))**2. -24*sqrt(2) + 44 Simplify (sqrt(18)*-4 - (sqrt(2) - (0 + sqrt(50) - sqrt(2)))) + (-1 + sqrt(2))**2*-6 + -6*(sqrt(2) - sqrt(32))**2. -126 + 3*sqrt(2) Simplify ((1*sqrt(210))/sqrt(7))/sqrt(6). sqrt(5) Simplify (sqrt(3) + sqrt(363) + 0)*-3 + 0. -36*sqrt(3) Simplify ((sqrt(352) - 1*sqrt(352) - sqrt(352) - sqrt(352) - sqrt(352))/sqrt(8) + -3)**2. 36*sqrt(11) + 405 Simplify 3 + -1*sqrt(68) + sqrt(68) - sqrt(153)/(sqrt(9) + -4*sqrt(36)/sqrt(4)). sqrt(17)/3 + 3 Simplify (sqrt(5) + 0 - sqrt(5) - sqrt(5))*-2 + -2. -2 + 2*sqrt(5) Simplify 2 + sqrt(1152). 2 + 24*sqrt(2) Simplify 4 + (-2 + sqrt(425))**2 + -2 + sqrt(425)*-1. -25*sqrt(17) + 431 Simplify -2*sqrt(36)/(-1*sqrt(12)*3). 2*sqrt(3)/3 Simplify (5*sqrt(25)/sqrt(5) + sqrt(5))*-3 + 5. -18*sqrt(5) + 5 Simplify (sqrt(19) - (sqrt(171) + -1)**2) + 4 + 1 + 5. -162 + 7*sqrt(19) Simplify (((sqrt(252)*-1 - sqrt(252)) + 1)*1)**2. -24*sqrt(7) + 1009 Simplify (6*(sqrt(110) + (2*sqrt(110) - sqrt(110))) - sqrt(110))/sqrt(10). 11*sqrt(11) Simplify 4 + (sqrt(171)*-2)**2. 688 Simplify (sqrt(121)*-3)/sqrt(11) + (-2 + sqrt(11))**2 + 1. -7*sqrt(11) + 16 Simplify (sqrt(432)*-1)**2 - -1*sqrt(12). 2*sqrt(3) + 432 Simplify (sqrt(72) + sqrt(8))/sqrt(4) - (-1 + sqrt(200))**2. -201 + 24*sqrt(2) Simplify (2 + sqrt(8)/sqrt(4) + 3 + sqrt(4)/sqrt(2))**2. 20*sqrt(2) + 33 Simplify -6*(-1 + sqrt(1700))*-4. -24 + 240*sqrt(17) Simplify (-6*-1*sqrt(3) + ((sqrt(300)*-2 - sqrt(300)) + sqrt(300))**2)*5. 30*sqrt(3) + 6000 Simplify (sqrt(11) - sqrt(352)/sqrt(2))*-1 + -3. -3 + 3*sqrt(11) Simplify ((sqrt(15) - sqrt(375))*4)/(sqrt(5) - (sqrt(125) - (sqrt(125) + (sqrt(125)*3 - sqrt(125)) + sqrt(125)))). -sqrt(3) Simplify -3*sqrt(5)*-5*-1*1. -15*sqrt(5) Simplify (-2*(1 + sqrt(704)))**2 + ((sqrt(121) - (sqrt(121) + 1*sqrt(121))*3)/sqrt(11))**2. 64*sqrt(11) + 3095 Simplify (1 + -5*sqrt(6)/sqrt(3)*-3)**2 + -5. 30*sqrt(2) + 446 Simplify ((sqrt(152) + (2*sqrt(152) + sqrt(152))*6 + sqrt(152) - sqrt(152)) + sqrt(152))/(sqrt(8) + 3*sqrt(32)). 20*sqrt(19)/7 Simplify -4 + -3*-5*sqrt(32). -4 + 60*sqrt(2) Simplify (-2*(sqrt(637) + 2))**2 + sqrt(637). 119*sqrt(13) + 2564 Simplify 6*-4*(sqrt(28)/sqrt(4)*2)**2 + 2. -670 Simplify 5*(sqrt(12) + sqrt(108))*-3. -120*sqrt(3) Simplify (-6*(-1 + sqrt(112)) + 2*(sqrt(112)*1 - sqrt(112)))**2. -288*sqrt(7) + 4068 Simplify (sqrt(112)/sqrt(4)*5)**2 + -3. 697 Simplify 6*(sqrt(2) - sqrt(8)/sqrt(4))*1. 0 Simplify ((sqrt(608) + sqrt(608) + sqrt(608)*-5 - sqrt(608))/sqrt(2))**2. 4864 Simplify (sqrt(19)*-1*1)**2*4. 76 Simplify ((6*sqrt(50)/sqrt(5))/sqrt(5)*-5)**2. 1800 Simplify (((sqrt(112)*2*4 - sqrt(112)) + -1 + sqrt(112) + -2)*-6)**2. -6912*sqrt(7) + 258372 Simplify 5 + (sqrt(171)*-2*1)/sqrt(9). -2*sqrt(19) + 5 Simplify (5*(sqrt(152) - (sqrt(152)*2 + sqrt(152))) + sqrt(152))/((sqrt(8) - sqrt(8)*-2 - sqrt(8))*2 - sqrt(8)). -3*sqrt(19) Simplify (sqrt(49)*3 + sqrt(49))/sqrt(7) + -1. -1 + 4*sqrt(7) Simplify (sqrt(91)/(1*sqrt(7)) + sqrt(13))**2 + (sqrt(13) - (sqrt(208) + -1)). -3*sqrt(13) + 53 Simplify ((2*sqrt(11) + sqrt(11) + -2 - ((2*sqrt(891) - sqrt(891))**2 + sqrt(11))) + -1)*4. -3576 + 8*sqrt(11) Simplify sqrt(260)/((-3*sqrt(5) - sqrt(5))*5). -sqrt(13)/10 Simplify (-2*sqrt(24))/(sqrt(2) + 1*sqrt(2)*5). -2*sqrt(3)/3 Simplify 1 + 4 + sqrt(132)/(sqrt(12) + (sqrt(48) + sqrt(12) - sqrt(12))). sqrt(11)/3 + 5 Simplify 0 + sqrt(2299)*1. 11*sqrt(19) Simplify sqrt(91)/(sqrt(84)/(sqrt(12)*-1) - sqrt(7)). -sqrt(13)/2 Simplify -4 + sqrt(19)*4 - (sqrt(2299) + sqrt(2299) + -1)**2. -9201 + 48*sqrt(19) Simplify 1*sqrt(2299)*-2. -22*sqrt(19) Simplify (sqrt(13) - (3*sqrt(52) - sqrt(52))/sqrt(4))*5. -5*sqrt(13) Simplify 5*-1*sqrt(112). -20*sqrt(7) Simplify (-3 + (-3*sqrt(33))/sqrt(11) + -3)**2. 36*sqrt(3) + 63 Simplify sqrt(136)/(sqrt(32) - sqrt(8)) + (sqrt(17) - (-2*sqrt(170))/sqrt(10)) + -2. -2 + 4*sqrt(17) Simplify (sqrt(162) + 3)**2*6. 324*sqrt(2) + 1026 Simplify 2*sqrt(8) + sqrt(2) + (1*sqrt(288))**2. 5*sqrt(2) + 288 Simplify sqrt(125) + -5 + 1. -4 + 5*sqrt(5) Simplify (-5 + sqrt(32) - (sqrt(18) + 1)) + ((sqrt(12) - (sqrt(12) + sqrt(12)*2*1)) + sqrt(12))/sqrt(6). -6 Simplify sqrt(1331) + 4 + (sqrt(1331)*2)**2 + 4. 11*sqrt(11) + 5332 Simplify (-2 + sqrt(176)*-1 + sqrt(176))**2. 4 Simplify 2 + sqrt(6)/(sqrt(2)*2) - ((sqrt(252)*-2 - sqrt(252))/sqrt(12))/sqrt(7). 2 + 7*sqrt(3)/2 Simplify sqrt(68)/(sqrt(44)/sqrt(396)). 6*sqrt(17) Simplify (sqrt(1872) - ((4*(sqrt(1872) + -4 + sqrt(1872)) - sqrt(1872)) + sqrt(1872)))**2. -2688*sqrt(13) + 91984 Simplify ((sqrt(20)*2)**2 - (-1 + sqrt(25)/sqrt(5))) + -2. -sqrt(5) + 79 Simplify sqrt(170)/(sqrt(10) - sqrt(60)/sqrt(54))*6. 9*sqrt(17) Simplify (-1*sqrt(209)*2)/(-1*sqrt(539) + sqrt(11)). sqrt(19)/3 Simplify -1*-4*sqrt(343). 28*sqrt(7) Simplify (sqrt(128)*-3)**2 + (sqrt(128)*-3 + sqrt(128) + sqrt(2))**2. 1602 Simplify 4 + (1*sqrt(1100))**2. 1104 Simplify (5*(sqrt(21)/sqrt(7)*6 + -5))**2. -1500*sqrt(3) + 3325 Simplify -2 + (sqrt(99) - (-2 + -2 + sqrt(99))**2). -117 + 27*sqrt(11) Simplify -4 + -2*(sqrt(17) + sqrt(17) + 0)**2. -140 Simplify 2 + (sqrt(114)*2)/sqrt(6). 2 + 2*sqrt(19) Simplify ((sqrt(210) + sqrt(210)*1 - sqrt(210))/sqrt(6) + sqrt(35))/(sqrt(1008) + (sqrt(1008) + -2*sqrt(1008) - sqrt(1008))). -sqrt(5)/6 Simplify (sqrt(126)/sqrt(6)*4)/(sqrt(432) + sqrt(432) + 3*sqrt(432)). sqrt(7)/15 Simplify 2 + (1 + sqrt(1377) + 1)**2 + sqrt(1377) + 4. 45*sqrt(17) + 1387 Simplify -4 + (sqrt(3630) - ((sqrt(3630) - sqrt(3630)*-2 - sqrt(3630)) + sqrt(3630)))/(-4*sqrt(160)). -4 + 11*sqrt(3)/8 Simplify sqrt(208)*3*3. 36*sqrt(13) Simplify (-1*(sqrt(17) + 2*(sqrt(17) + 1) + sqrt(17)))**2 - 3*(sqrt(833) + -2*sqrt(833)). 37*sqrt(17) + 276 Simplify 4*((1*sqrt(5) + -2)*-6 + -4). -24*sqrt(5) + 32 Simplify (sqrt(1377) + -1)**2 - (sqrt(17)*2 + sqrt(17) + sqrt(17))*3 - (-2 + 0 + sqrt(2448)). -42*sqrt(17) + 1380 Simplify sqrt(76)/sqrt(4) + -5 + sqrt(304)*-3 + 1. -11*sqrt(19) - 4 Simplify 1 + -1 + sqrt(2448). 12*sqrt(17) Simplify ((sqrt(168)/sqrt(4))/sqrt(2))/(sqrt(7) - (sqrt(7) + sqrt(175))*-2). sqrt(3)/13 Simplify ((sqrt(33)*-1*-1)/(1*sqrt(99)))**2. 1/3 Simplify 3*sqrt(14)/sqrt(252). sqrt(2)/2 Simplify 1 + sqrt(12)*5*-3*-5. 1 + 150*sqrt(3) Simplify -4 + (sqrt(13) - sqrt(26)/sqrt(2)) + sqrt(13) - sqrt(1053)*4. -35*sqrt(13) - 4 Simplify (sqrt(7) - (sqrt(7) + -5 + 3)) + -1. 1 Simplify (-2 + (sqrt(539) + sqrt(539) + 0 - sqrt(539)) + -3)**2. -70*sqrt(11) + 564 Simplify (2 + (sqrt(176) + 0 - sqrt(176)) + 0)**2. 4 Simplify sqrt(72) + -4 - (sqrt(2) - (sqrt(8) + 0)). -4 + 7*sqrt(2) Simplify sqrt(25)/(2*sqrt(80)). sqrt(5)/8 Simplify ((sqrt(80) + 0 + (-1*sqrt(80) - sqrt(80)))*-1)**2 + -5. 75 Simplify -3*(1 + sqrt(1053))*3. -81*sqrt(13) - 9 Simplify (sqrt(288) + 2*(-1*sqrt(288) + sqrt(288)))**2 + sqrt(288). 12*sqrt(2) + 288 Simplify sqrt(75) - (0 + sqrt(75) + 0)**2. -75 + 5*sqrt(3) Simplify (sqrt(10)/(sqrt(50) - sqrt(50)*-5))**2. 1/180 Simplify (5*(sqrt(468)*-2 - sqrt(468)))**2*6. 631800 Simplify ((sqrt(612) - (sqrt(612) - sqrt(612)*2)) + 0 - sqrt(612) - sqrt(612) - sqrt(612) - sqrt(612))**2*4. 9792 Simplify (sqrt(1331) + 1)**2*3 + 1. 66*sqrt(11) +
{ "pile_set_name": "DM Mathematics" }
+ -4? -502 In base 4, what is 2 + -1213? -1211 In base 11, what is 403 + -2? 401 In base 11, what is 28 - -40? 68 In base 2, what is -1 + -1000000101111? -1000000110000 In base 16, what is -70 + -4? -74 In base 8, what is -1 - 405? -406 In base 13, what is 4 + -89? -85 In base 6, what is -2430 + -4? -2434 In base 4, what is 12101 + -1? 12100 In base 10, what is -788 + 2? -786 In base 7, what is 4465 + -4? 4461 In base 11, what is -3 + 291? 289 In base 15, what is -2 + 61c? 61a In base 11, what is -4 + 534? 530 In base 4, what is -102 - -13? -23 In base 14, what is -a - 13? -1d In base 14, what is -2 - -3b5? 3b3 In base 14, what is -b + 2? -9 In base 12, what is -112 + 1? -111 In base 2, what is -101100101 - -10? -101100011 In base 10, what is 6 - -164? 170 In base 13, what is -2 + -111? -113 In base 15, what is 3 + c? 10 In base 15, what is c4 + 35? 109 In base 7, what is -221 - -240? 16 In base 8, what is 44 - 1? 43 In base 3, what is -12 - -2011? 1222 In base 3, what is -200021 + 2? -200012 In base 12, what is 3 + -215? -212 In base 2, what is 11100100 - 100? 11100000 In base 12, what is 180 - 2a? 152 In base 8, what is 4 - -1713? 1717 In base 3, what is 22 + -102012? -101220 In base 14, what is -51 + 2? -4d In base 15, what is -1 - -33? 32 In base 12, what is -3 + -b81? -b84 In base 14, what is 5a - -1? 5b In base 14, what is 5 - 83? -7c In base 7, what is -615 - -12? -603 In base 9, what is -66 + 20? -46 In base 3, what is -122210 - 0? -122210 In base 3, what is 10 - -1112? 1122 In base 7, what is 6 - 126? -120 In base 7, what is -33 + -115? -151 In base 7, what is -333 + -12? -345 In base 9, what is 0 - 1242? -1242 In base 16, what is -1 - -a1? a0 In base 5, what is 331 + 1313? 2144 In base 11, what is 9 + 272? 280 In base 16, what is -26b + 2? -269 In base 5, what is 34 + 4? 43 In base 2, what is 10001 + 1000011? 1010100 In base 8, what is -2 + -541? -543 In base 7, what is -23553 + -2? -23555 In base 8, what is 1 - -14321? 14322 In base 5, what is 124 + -214? -40 In base 4, what is 0 - 10110? -10110 In base 16, what is 1 + -167? -166 In base 9, what is -27571 + -1? -27572 In base 5, what is -12 + 104? 42 In base 9, what is 1416 - 5? 1411 In base 8, what is -1141 - 2? -1143 In base 15, what is -3 - 21c? -220 In base 8, what is 117 - -3? 122 In base 11, what is 5 + 40? 45 In base 4, what is 22313 + -10? 22303 In base 7, what is 3 + -26? -23 In base 8, what is 4 - -11463? 11467 In base 5, what is 31 + 1110? 1141 In base 11, what is -2a0 - -11? -28a In base 7, what is -12 + 3346? 3334 In base 2, what is -101010100111 - -101? -101010100010 In base 11, what is 109 + -3? 106 In base 16, what is 2703 + -5? 26fe In base 11, what is -5 - 788? -792 In base 6, what is -330 - -203? -123 In base 16, what is 43f8 + 5? 43fd In base 7, what is 662 + 4? 666 In base 6, what is 23 - 13? 10 In base 15, what is 3 - 40? -3c In base 5, what is 11 - -1043? 1104 In base 4, what is -10 - -100111? 100101 In base 16, what is 20 - 5? 1b In base 9, what is -543 + 2? -541 In base 13, what is 1c + -c0? -a1 In base 2, what is -1011101110100 + -101? -1011101111001 In base 14, what is -6a + -1? -6b In base 6, what is -31 + -30? -101 In base 9, what is 2817 + -7? 2810 In base 8, what is 2 - -657? 661 In base 12, what is -146 + 4? -142 In base 6, what is 0 - -4532? 4532 In base 15, what is -179e + 5? -1799 In base 10, what is 28 - -8? 36 In base 11, what is 2 + -205? -203 In base 11, what is 22 - 4? 19 In base 5, what is -312121 + 1? -312120 In base 13, what is 2456 + -4? 2452 In base 12, what is 2 - -21? 23 In base 16, what is -5 + -136? -13b In base 10, what is 39643 + -2? 39641 In base 13, what is 3 - 6c? -69 In base 16, what is -f + 105? f6 In base 11, what is -304 - 2? -306 In base 3, what is -12 + 212110? 212021 In base 14, what is -8a + -102? -18c In base 8, what is 3 + 5? 10 In base 10, what is 564 + -2? 562 In base 4, what is -30 + 1? -23 In base 4, what is -10 - 100102? -100112 In base 4, what is -1302233 + -10? -1302303 In base 14, what is 27ad + -5? 27a8 In base 10, what is 2 + -129? -127 In base 8, what is -2 + -17473? -17475 In base 9, what is -1201 + 4? -1186 In base 12, what is 1 - 4b? -4a In base 10, what is -322 + -7? -329 In base 10, what is 101 - -7? 108 In base 9, what is 2 + 85? 87 In base 4, what is 1 + 1003? 1010 In base 3, what is -21 - -100111? 100020 In base 2, what is -1011110 + -1? -1011111 In base 16, what is 4 - ad2? -ace In base 10, what is 35 + -5? 30 In base 14, what is 13a + -b? 12d In base 16, what is -1982 - -4? -197e In base 7, what is -202 + -34? -236 In base 10, what is -176 + -2? -178 In base 10, what is 148 + -13? 135 In base 7, what is 44 + 46? 123 In base 16, what is 8 - -1? 9 In base 5, what is -10 + -10224? -10234 In base 13, what is -3 - 12a7? -12aa In base 12, what is 4 - -b5? b9 In base 11, what is -3 + -8? -10 In base 6, what is -450120 - 4? -450124 In base 3, what is -200 + 12? -111 In base 6, what is -2 + 4? 2 In base 2, what is 111111001 - 101? 111110100 In base 10, what is 5 - 83? -78 In base 7, what is -16 + 360? 341 In base 11, what is -18 + 153? 136 In base 16, what is 1 - -d0? d1 In base 10, what is 11 - 107? -96 In base 7, what is -3 - 0? -3 In base 12, what is -277 - -3? -274 In base 6, what is 4 + 214? 222 In base 11, what is 16 + -25? -a In base 10, what is -216 - 1? -217 In base 5, what is -4111 + 2? -4104 In base 6, what is 21400 - -4? 21404 In base 15, what is -5 + -510? -515 In base 5, what is 111 - -103? 214 In base 13, what is 50a + -3? 507 In base 5, what is 10414 + -10? 10404 In base 10, what is -4 + -189? -193 In base 13, what is 1124 + 0? 1124 In base 11, what is 233 - -2? 235 In base 9, what is -3 + 427? 424 In base 4, what is 0 + 100? 100 In base 16, what is 11 - -3? 14 In base 6, what is -1355 - -1? -1354 In base 13, what is 4 - -1b35? 1b39 In base 6, what is -4 - 255? -303 In base 3, what is 11 - -1221211? 1221222 In base 2, what is -1100110 + -11? -1101001 In base 10, what is 5 + -37? -32 In base 16, what is -22f - 5? -234 In base 9, what is -646 - 3? -650 In base 4, what is 10 + -1032? -1022 In base 2, what is -1100 + 11001? 1101 In base 2, what is -101 - -11000? 10011 In base 7, what is -1300 + 26? -1241 In base 11, what is -500 - 13? -513 In base 9, what is 4 + -1400? -1385 In base 4, what is -112 + -1200? -1312 In base 16, what is 95 + -4? 91 In base 6, what is -1 - 2403? -2404 In base 7, what is 32 - -2225? 2260 In base 14, what is 22 + 0? 22 In base 4, what is -100121 - 21? -100202 In base 2, what is -1000001111 + 100? -1000001011 In base 3, what is -121 - 110122? -111020 In base 5, what is 13 + 113? 131 In base 4, what is 21021 + -23? 20332 In base 15, what is -4 + -2c2? -2c6 In base 9, what is -121 + -3? -124 In base 5, what is 1 + -2102? -2101 In base 14, what is 2 + 35? 37 In base 16, what is -2 + 117c? 117a In base 14, what is -3 - -1bc? 1b9 In base 12, what is -817 + -17? -832 In base 15, what is -4d15 + 0? -4d15 In base 9, what is 14 - -40? 54 In base 14, what is 5 - -8? d In base 16, what is -3 + 55? 52 In base 15, what is 57 - -2? 59 In base 2, what is 1101010 + 100? 1101110 In base 4, what is -3001 - 10? -3011 In base 15, what is -4 + -aa? -ae In base 3, what is 100110 - 1? 100102 In base 5, what is 1340402 - 10? 1340342 In base 8, what is 1 - -5647? 5650 In base 10, what is -141 + 4? -137 In base 4, what is -1201 + 0? -1201 In base 12, what is -4 + 1557? 1553 In base 10, what is 89 - 3? 86 In base 10, what is -1 - -34? 33 In base 10, what is 440 - 2? 438 In base 10, what is 1 - -100? 101 In base 8, what is -3 - -10? 5 In base 15, what is 23 + 12? 35 In base 7, what is 143 + 45? 221 In base 10, what is 9 - -51? 60 In base 7, what is 515 - 2? 513 In base 16, what is -62 - 1? -63 In base 8, what is 4 + 12? 16 In base 13, what is 13 - -13? 26 In base 13, what is 1000 - 0? 1000 In base 10, what is 0 - -378? 378 In base 5, what is -24433 - 10? -24443 In base 13, what is 27 + -16? 11 In base 5, what is -4 + -4002? -4011 In base 9, what is 5 - -535? 541 In base 4, what is 202 + 1? 203 In base 2, what is 10001 - -1110? 11111 In base 16, what is 11 - 151? -140 In base 2, what is 10010100 - 11? 10010001 In base 10, what is 5 + -4191? -4186 In base 3, what is -10000 - 12? -10012 In base
{ "pile_set_name": "DM Mathematics" }
mber? True Let s = 18 + 0. Let l = -22 + s. Is l/16 - (-573)/4 prime? False Let x(b) = -10*b**3 - 12*b**2 - 9*b + 5. Let v be x(-10). Suppose -s + 3*n + 1775 = 6*n, v = 5*s + 5*n. Is s composite? True Let l be (-12)/(-10)*(-50)/20. Let z = -2 - l. Is 3 + z + 75 + -2 a composite number? True Let a(k) = 106*k**3 - 3*k**2 - 5*k + 4. Let t be a(-4). Is t/(-20) + (-9)/(-15) a composite number? True Let l(j) = -j**2 - 8*j - 9. Let x be l(-7). Let s be (x - -1) + 18 - 2. Is 1161/s + (-8)/20 a prime number? False Is -93*2*63/(-54) prime? False Suppose 253527 = 5*n + 4*o, -5*o = -2*n - 3*o + 101418. Is n a prime number? True Let i(g) = 944*g**2 - 3*g + 2. Is i(1) a composite number? True Suppose 11*g - 54457 = -2*g. Is g a composite number? True Let c be (39/15)/(1/5). Let a(d) = -d - 2*d + 26*d - c + 13*d. Is a(12) composite? False Let i(h) = 3712*h**3 + 10*h**2 - 9*h. Is i(1) prime? False Let t(c) = 50*c - 5. Let a = 4 + -1. Is t(a) prime? False Suppose 4*y = -240 + 56. Let n = 77 + y. Suppose 0 = -5*i + 79 + n. Is i a composite number? True Let z be ((-2)/3)/(26/(-273)). Let o(c) = 3*c**3 - 13*c**2 + 7*c + 8. Is o(z) a composite number? False Is (-3 - (-3 - -97))*(2 + -19) composite? True Suppose -4*x - 14 = -22. Suppose 3*p + 126 = 3*m, -19 = -m - x*p + 8. Is m composite? False Suppose -3*k - 9104 - 4125 = -5*o, -k + 2 = 0. Is o a composite number? False Let s be 4/(-1) - (7 + -11). Suppose -6*i + 3*i - 48 = s. Let y(n) = 5*n**2 - 17*n + 15. Is y(i) prime? True Suppose -4*i = -5*i + 5. Let d be 24/16 - i/(-2). Is 2514/d*16/24 prime? True Suppose 2*f - 8*f - 12 = 0. Let y(h) = 32*h**2 - 5*h - 11. Is y(f) composite? False Is 7/(-35) + 176898/15 composite? True Let u(f) = 18290*f**2 + 14*f + 11. Is u(-1) composite? False Suppose -2*i + 8668 = 2*c - 22558, 3*i - 5*c = 46839. Is i composite? True Let f(k) = 509*k**2 + 4*k - 6. Let q(c) = -764*c**2 - 6*c + 9. Let v(t) = 8*f(t) + 5*q(t). Is v(1) prime? True Let a(s) = -15*s**2 - 11*s - 6. Let z be a(-7). Let h = 27 - z. Is h a composite number? False Let x(c) = -c**3 - c**2 - c + 3. Let a be x(0). Suppose 0 = -2*o + a*o - 1693. Is o a composite number? False Suppose 2*b - 3*x - 2 = 0, 0 = 4*b - 2*x - 0 - 12. Suppose 3*m - 4*m = -s + 586, -4*m + b = 0. Is s a prime number? True Suppose 3*n = 9*n - 24. Suppose -n*c + 6723 - 2743 = 0. Is c a prime number? False Suppose 0 = 17*g - 22*g + 20. Suppose -n - n + g = 0. Suppose -82 - 420 = -n*m. Is m a prime number? True Let s(j) = -38*j**2 + 9*j - 4. Let z be s(9). Let w = z + 5099. Is (w/4 - -3)*2 a prime number? False Let q(s) = -6*s**3 + 2*s**2 + 3. Let d(z) = z**3 + 12*z**2 + z + 10. Let r be d(-12). Is q(r) composite? False Is (0 - 2/4) + (-1151115)/(-266) a prime number? True Suppose 0*o = 3*u - 3*o - 1830, 2*u + 5*o - 1241 = 0. Is u prime? True Suppose 0 = 66*y - 213098 - 82648. Is y prime? True Let a(m) = 5407*m**2 - 10*m + 23. Is a(2) a composite number? True Let z(n) = 241*n**3 - 1. Let y be z(1). Suppose 813 = 3*a + y. Is a a composite number? False Let c = 11 - -4. Let a(s) = 413*s - 424*s - 44*s**2 + 19 + 45*s**2. Is a(c) a composite number? False Let l = -1440 + 85. Let g = l - -2886. Is g a prime number? True Let v = 758 - 451. Is v a prime number? True Let g = -71 + 42. Let x = 156 + g. Is x a prime number? True Suppose 4*x - 63*x + 1813129 = 0. Is x a composite number? True Suppose 0 = -j - 2*b + 20247, -3*j - 7*b + 4*b + 60744 = 0. Is j composite? False Is 2 + -7 + 678/1 a prime number? True Let b = 90 - 88. Suppose -2*k + 2*v + 0*v + 72 = 0, 46 = k - 3*v. Let l = k + b. Is l a prime number? False Let q(b) = b**3 + 3*b**2 + b + 3. Suppose 15 = 3*h + 5*k - 4*k, 5*h + 3*k - 29 = 0. Is q(h) composite? True Is -13641*((-1)/5 - 66/45) a composite number? True Let s(m) = 21*m - 230. Is s(51) a composite number? True Let u(p) = -p**3 - 13*p**2 - 21*p + 15. Let m be u(-11). Is (-15426)/(-22) - m/22 prime? True Let i = 64921 + -36384. Is i composite? False Let n(i) = -7 + 5*i + 226*i**2 + 0*i + 11. Is n(3) a prime number? True Is 6/(-42) - 1/7*-99310 composite? True Is (-1)/(44359/(-243551) + (-2)/(-11)) a prime number? True Suppose -3*v + 4*t = -10, 0 = 3*t + 3 - 0. Let g be 0 + 401 - v - 3. Let o = g + -187. Is o prime? False Suppose 18 = -t + 2*q, -5*t - 28 = 3*q - 3. Let a(x) = x**3 + 9*x**2 + 9*x + 10. Let m be a(t). Is (-17 + m - -2)*-11 a composite number? True Let s = -16 - -14. Let j = 3 - s. Suppose -j*y + 1581 = 136. Is y composite? True Suppose 11*p - 20 = 7*p. Suppose 0 = -0*d + p*d - 775. Is d a composite number? True Let w = -3 + 8. Suppose w*q + n = 3369, -1311 = -2*q - 4*n + 51. Is q prime? True Let q(c) = -c**2 + 6*c + 5. Let u be q(5). Let r = u - 4. Suppose -l - 1895 = -r*l. Is l a composite number? False Let k = -132932 + 248211. Is k a prime number? True Let d(c) = 15*c**2 + c + 147. Is d(19) a composite number? False Let b = 409 - 238. Suppose -b = -c + 2*q + 262, 0 = -3*c + 2*q + 1307. Is c prime? False Suppose 149*b + 4765 = 154*b. Is b a prime number? True Suppose 0 = -16*q + 233888 - 13120. Is q composite? True Let a be 4 - ((-3)/3)/1. Suppose 5*h + a*m + 37 = -43, 24 = -h + m. Is (-5)/h + 471/4 a composite number? True Suppose -7 = -2*b - 1. Suppose 2*u = -b*d + 11 - 5, 0 = -4*u. Suppose f + 371 = d*f. Is f composite? True Suppose -2*o + 23378 = -744. Suppose -2*c - 5*s + o = 0, 2*c - 7236 - 4870 = 4*s. Is c composite? False Let x = 15944 + -8973. Is x prime? True Let p = 28 - 26. Suppose 5*m - 4*b - 2365 = 0, 3*m - p*b - 10 = 1407. Is m composite? True Let t(z) = -24*z - 9. Let j be t(13). Let k = 462 + j. Let l = 238 + k. Is l composite? False Let d = 19 - 18. Let c(w) = -261*w + 2. Let n be c(d). Is -4 + 4 + -2 - n prime? True Let k(d) = 12879*d - 272. Is k(11) a prime number? True Let r(a) = -17*a**3 - 5*a**2 + 6*a + 23. Is r(-7) prime? False Let h = 1 - -3. Suppose -h*j - 9481 = c, 3*j - 5*j = -3*c + 4737. Is (-1)/(-5) + j/(-25) a prime number? False Is (-203)/(-9) + 4/(-117)*-13 composite? False Suppose -951 = 3*g + 624. Is 4 - g/((-6)/(-2)) a composite number? False Let j(x) = -x**3 - 3*x**2 - 3*x - 3. Let m be j(-3). Let r be 4/m + 22198/(-33). Is r/(-10) + (-4)/20 a composite number? False Suppose 5*j - 7827 = -p, -13*p + 11*p + 15626 = -4*j. Is p a composite number? False Suppose -16509 = -4*h + 3*r, 3240 = -3*h + 3*r + 15618. Suppose 10*z - h = 8179. Is z composite? False Suppose -2*n - 308 = -3*n. Let w be -175*4/(-7 + 3). Let v = n - w. Is v a prime number? False Suppose 0 = 5*k - 2*k - 6. Suppose 2*x - 29 = x + 5*u, 8 = -k*u. Let g(n) = 3*n**2 - 10*n + 8. Is g(x) prime? False Suppose j = o - 2*j + 1, 2*j = 2. Suppose -2*i + 2*l - 7 = -1, -i - 12 = -4*l. Suppose 0 = t - 2, -g + 0*g + o*t + 43 = i. Is g a prime number? True Suppose -14 = 3*k - 2, -22 = -s + 5*k. Suppose -12 = -2*d + 6*d. Is (s/8)/(d/(-1956)) a prime number? True Suppose -14*s + 3618 = -1604. Is s composite? False Let c(f) = -116*f**2 - 3*f - 6. Let w be c(-2). Let q = w - -718. Is q prime? False Suppose 67*c - 72*c = -40570. Is c composite? True Let h(s) = s + 1. Let k be h(1). Suppose k*c + 0*c = 570. Let d = c - 74. Is d prime? True Let x(k) = 9*k**2 - 20*k + 53. Is x(18) a composite number? False Suppose 5*o - 25 = 0, -2*o + 23328 = 2*p - 4*o. Is p prime? False Let p(m) = -11*m + 33. Let b be p(3). Suppose b = 5*f - 9*f + 5128. Is f a composite number? True Let i = 264 + -157. Let z = 166 - i. Is z prime? True Let r be (-8)/44 - (26/(-22) + -1). Is (388 - 1) + (-8)/r prime? True Let n = 10 - 5. Suppose -148 = n*y - 6*y. Suppose 103 = z - y. Is z a composite number? False Let t = 3048 - 1541. Is t a prime number? False Suppose 70*r = 171150 + 223160. Is r a prime number? False Suppose -5*v + 5 = -20. Suppose y = t - 0 + 32, 26 = y + v*t. Is y a prime number? True Suppose 31 - 37 = 3*j. Let g(b) = 0 + 26*b**2 - 3 + 92*b**2 + 40*b**2. Is g(j) prime? False Let i(p) = 50*p**2 - 6*p - 9. Let b be i(-3). Suppose -z + 4*s + b = -1030, 4*s = 12. Is z a prime number? False Let f = 85066 - 53597. Is f prime? True Let m(v) = -v + 18. Let q(o) = o**2 - 3. Let y be q(-4). Let l be m(y). Suppose -l*i = 5, 4*i + i = n - 150. Is n a prime number? False Let g(s) be the third derivative of -s**4/24 + 479*s**3/6 + 4*s**2. Is g(0) a composite number? False Is -
{ "pile_set_name": "DM Mathematics" }
2 + 6. Let s(a) = 21*a**2 + a - 19. Let k(x) = -2*s(x) - 7*w(x). Give 5*b(u) + 2*k(u). -u**2 + u + 2 Let l(h) = 3*h**2 + 6*h - 2*h**2 + 6 - 5. Let c(t) = -2*t**2 - 13*t - 2. Let s be 1/((15/18)/5). What is s*c(z) + 13*l(z)? z**2 + 1 Let z(q) be the second derivative of q**4/12 + q**3/6 + q**2/2 - 16*q. Let v(l) = 10*l**2 + 8*l + 8. What is v(u) - 8*z(u)? 2*u**2 Let b be 172/(-20) - 3/(-5). Let w(k) = -15*k - 9. Let v(o) = -10*o - 6. Let r(j) = 7*v(j) - 5*w(j). Let l(h) = 14*h + 8. Determine b*r(m) + 3*l(m). 2*m Let h(r) = -1. Let c(k) = k + 3*k - 5 - 2*k. Let a = 8 + -3. Suppose -3*z = -8*z - a. Determine z*c(l) + 4*h(l). -2*l + 1 Let b(t) = 3*t**2 + 3*t + 17. Let z be (-104)/17 + 10/85. Let s = 15 + -9. Let y(l) = l + s + l**2 + 4*l - 4*l. Give z*b(q) + 17*y(q). -q**2 - q Let n(z) = -4*z**3 + 2*z**2 - 2*z + 2. Let q(h) = 8*h**3 - 5*h**2 + 5*h - 5. Let b(y) = -y**3 - 5*y**2 + 10*y + 26. Let m be b(-6). Determine m*q(t) + 5*n(t). -4*t**3 Let u(c) = -3*c**3 + 9*c. Let w(j) = j. Determine -u(v) + 4*w(v). 3*v**3 - 5*v Let h(p) = 6*p**2 + 2 - 2 + 5 + 5*p. Let q be (-5)/(-10) - 7/(-2). Suppose q = 5*w + 34. Let l(y) = 7*y**2 + 6*y + 6. Determine w*h(k) + 5*l(k). -k**2 Let q(o) be the third derivative of o**5/20 + o**4/12 + 2*o**3/3 - o**2. Let d = 2 + -13. Let i(h) = -16*h**2 - 11*h - 21. Calculate d*q(k) - 2*i(k). -k**2 - 2 Let a(t) be the first derivative of -23*t**4/4 - 17*t**2/2 - 8. Let u(d) = -8*d**3 - 6*d. Determine -6*a(o) + 17*u(o). 2*o**3 Let i(c) = 51*c**2 - c + 3. Let l(z) = -103*z**2 + 2*z - 5. Calculate 5*i(t) + 3*l(t). -54*t**2 + t Let y(w) = 6*w - 7. Let f(v) = 6*v - 7. Let t(x) = 3*f(x) - 4*y(x). Let h(r) = -5*r + 6. Calculate 5*h(n) - 4*t(n). -n + 2 Let l(c) = -c**2. Suppose 6 - 2 = -2*i. Let r(x) = -7*x**2 - 5*x + 5. Let k(u) = -22*u**2 - 16*u + 16. Let o(j) = -5*k(j) + 16*r(j). Determine i*o(d) + 3*l(d). d**2 Let m(k) = k - 1. Let b(j) = 3*j - 6. Let q(t) = t**3 + 5*t**2 - t - 3. Let o be q(-5). Suppose o*x - 7 = h, 0 = h - 1. Let v = 8 - x. What is v*m(z) - b(z)? z + 2 Let l(s) = -4*s**2 - s + 1. Let f be l(1). Let i(t) = 2*t**2 - 6 + 0*t**2 + 4. Let b(w) = 3*w**2 - 70*w - 3 + 70*w. What is f*i(n) + 3*b(n)? n**2 - 1 Let q(o) = o**2 - 4*o + 1. Suppose -3*b = p - 22, 2*p = b + b + 36. Let h(z) = -4*z - 2*z**2 - 10*z + p*z - 1. Suppose 0*n - 9 = 3*n. Calculate n*q(s) - 2*h(s). s**2 + 2*s - 1 Let r(u) be the second derivative of -11*u**4/12 + 11*u**3/6 - 11*u**2/2 + 6*u. Let c(s) = 15*s**2 - 20*s**2 - 6 + 1 + 5*s. Calculate 9*c(d) - 4*r(d). -d**2 + d - 1 Let a(b) = 27*b - 6. Let x(k) = 14*k - 3. Determine -6*a(m) + 11*x(m). -8*m + 3 Let v(m) = -3*m - 35. Let s(j) = 2*j + 18. Determine -7*s(z) - 4*v(z). -2*z + 14 Let r(u) = 1. Let h(i) = -i. Let x(g) = 11*g + 1. Let b(o) = 10*o. Let m(t) = 6*b(t) - 5*x(t). Let s(n) = -2*h(n) - m(n). Calculate 5*r(q) - s(q). 3*q Let l(r) = -3*r**2 - 5*r + 7. Let b(j) = j**2 + 2*j - 3. Let p(g) = -5*b(g) - 2*l(g). Suppose 0 = -n - n + 20. Let w(t) = -8*t**2 - 10. Calculate n*p(i) + w(i). 2*i**2 Suppose 8 = -2*g + 5*l, -4*l + 6 = -l. Let p(j) = 8*j**3 + 5*j**2 - 1. Let k = -34 - -47. Let w = k + -19. Let i(v) = v**3 + v**2. Calculate g*p(u) + w*i(u). 2*u**3 - u**2 - 1 Let n = -183 - -184. Let d(w) = -w**3 - w**2 + w + 1. Let v(i) = 3*i**3 - 2*i**2 - 2*i - 4. What is n*v(h) + 2*d(h)? h**3 - 4*h**2 - 2 Let x(n) = 4*n**3 + n**2 - 1. Let o(i) = 14*i**3 + 11*i**2 - 9. Let u(w) = 7*w**3 + 6*w**2 - 5. Let t(h) = 4*o(h) - 7*u(h). Determine 3*t(v) - 5*x(v). v**3 + v**2 + 2 Let g(b) = -9*b - 2. Let f(o) = o + 3. Let y be f(5). Let x(n) = 6*n + 1. Determine y*x(c) + 5*g(c). 3*c - 2 Let u(g) = -g**3 - 3*g**2 - 11*g + 3. Let n(k) = -2*k**2 - 11*k + 2. Determine -3*n(d) + 2*u(d). -2*d**3 + 11*d Let i(f) = -5*f**3 - 2*f**2 + 4*f - 1. Suppose 3*n - 24 = 5*a, 9 = -2*n - 5*a - 0. Let m(d) = 4*d**3 + 2*d**2 - 3*d + 1. Determine n*i(w) + 4*m(w). w**3 + 2*w**2 + 1 Let d(p) = -2*p**3 - 7*p**2 - 66*p. Let u(f) = -f**3 - 5*f**2 - 44*f. Give -5*d(x) + 7*u(x). 3*x**3 + 22*x Let r(k) = -3*k**2 + 3*k - 7. Let p(u) = 13*u**2 - 13*u + 29. Give -2*p(b) - 9*r(b). b**2 - b + 5 Let z(u) = u - 2. Let f be (-10)/(-8)*(-12 - -16). Let b(m) = 0*m - 4 + 2*m + 0*m. Calculate f*z(o) - 2*b(o). o - 2 Let k(z) = 4*z**2 - 3*z**2 + z + 4*z + 2*z**2. Let n(v) = -4*v**2 - 6*v. What is 6*k(h) + 5*n(h)? -2*h**2 Let u(g) = 16*g**3 + 16*g**2 - 11*g - 10. Let h = -11 + 55. Suppose 5*v = v + h. Let d(x) = -4*x + 3*x**2 - 2 + 2*x + 3*x**3 + 0*x. What is v*d(f) - 2*u(f)? f**3 + f**2 - 2 Let u(w) = -w. Let z(f) be the second derivative of 5*f**3/6 - f**2 + 21*f. Calculate -6*u(b) - z(b). b + 2 Let k(w) = 4*w**3 + 4*w**2 - 6. Let r(d) = d**3 + d**2 - 1. Determine -k(q) + 2*r(q). -2*q**3 - 2*q**2 + 4 Let i(p) = 5*p**3 + 9*p**2 + 5*p + 7. Let l(t) = -3*t**3 - 5*t**2 - 3*t - 4. Calculate 4*i(q) + 7*l(q). -q**3 + q**2 - q Let t(u) = -4*u**2 - 5*u + 6. Let r(z) = -5*z**2 - 6*z + 5. Give 3*r(s) - 4*t(s). s**2 + 2*s - 9 Let z(i) = -4*i**3 + 5*i**2. Let t(y) = -2*y**3 + 3*y**2. Let s(p) = -p**2 - 5*p + 6. Let g be s(-4). Calculate g*t(w) - 6*z(w). 4*w**3 Let w(l) = -21*l + 3. Let b(v) = -43*v + 7. Determine -2*b(q) + 5*w(q). -19*q + 1 Let o(r) = -9*r**2 - 21*r. Let d(i) = -5*i**2 - 10*i. Determine -7*d(m) + 3*o(m). 8*m**2 + 7*m Let i be (-2)/4*(-8 + 6). Let o(q) = -q**2. Let x(j) = j**3 - j**2. Determine i*x(w) - o(w). w**3 Let o(n) = n**2 - 7*n + 2. Let p = 26 + -9. Let h(w) be the second derivative of w**4/4 - 10*w**3/3 + 3*w**2 - 5*w. Calculate p*o(g) - 6*h(g). -g**2 + g - 2 Let w(i) = -6*i**3 + 7*i**2 - i + 5. Let v = 5 - 2. Let x(s) = 4 - 2*s**3 - 3*s**v + 5*s + 6*s**2 - 6*s. What is 4*w(n) - 5*x(n)? n**3 - 2*n**2 + n Let s(l) = 3 + 1 + 2 + 3 + 2*l. Suppose 2*p + 21 = -p. Let h(t) = 2*t + 10. Determine p*s(i) + 6*h(i). -2*i - 3 Let c(r) = 2*r**2. Let x(a) = 8*a**2. Let s be (-8)/(-12) + 32/(-12). Let g = 10 + -1. What is g*c(j) + s*x(j)? 2*j**2 Let m(v) = -11*v**3 - 9*v**2 + 9*v - 6. Let x(u) = -2*u - 6. Let c be x(-4). Let y(p) = 4 - 2*p - 4*p**c - 7 + 6*p - 2*p**3 - 3*p**3. Give -4*m(t) + 9*y(t). -t**3 - 3 Let a(y) = 9*y**3 + 3*y**2 + 4*y + 3. Let x(m) = m**3 - m**2 - m - 1. What is a(b) + 3*x(b)? 12*b**3 + b Let u(p) be the second derivative of -p**2/2 - 105*p. Let d(j) = -3 + 4 + 2*j + j. Calculate d(y) + u(y). 3*y Let j(v) = -2*v - 7. Let k(q) be the first derivative of -q**2/2 - 4*q - 13. Determine 3*j(z) - 5*k(z). -z - 1 Let r(f) be the third derivative of f**5/12 - f**4/4 - f**3 - f**2. Let t(a) = 3 - 2 - 11 + 14*a**2 - 7 - 17*a. Give -11*r(z) + 4*t(z). z**2 - 2*z - 2 Let p(i) = 4*i**2 + 2*i. Let b(w) = -w**3 - w**2 - w - 2. Let o be b(0). Let s = o - 5. Let z(m) = m**2 - 5*m**2 - 5*m - 5*m**2 + 0*m. Give s*p(n) - 3*z(n). -n**2 + n Let y(s) = -s. Let d(j) = -5*j + 1. Let g = -49 + 48. Give g*d(o) + 4*y(o). o - 1 Let i(y) = -2*y + 1. Let v(d) = 5*d - 2. Suppose -13 = 3*x + x - k, 4 = -2*x - 2*k. Calculate x*v(z) - 8*i(z). z - 2 Let c(y) = -y. Let t(x) = -5*x - 1. Calculate -3*c(f) + t(f). -2*f - 1 Let f(p) = p**2 - 5*p. Let l(v) = v + 1. Let b(w) = -3. Let a(s) = -b(s) - 3*l(s). What is -5*a(x) + 3*f(x)? 3*x**2 Suppose 0 = -z + 6*z - 5. Let q(u) = u - 1. Let x(l) = -4. Give z*x(b) - 2*q(b). -2*b - 2 Let l(y) = -2177 + 3*y**2 - y**2 + 2178 - 2*y. Let k(s) = -4*s**2 + 4*s - 2. Give 3*k(h) + 5*l(h). -2*h**2 + 2*h - 1 Suppose -49 = 5*k - 139. Suppose 3*o - 21 = k. Let f(u) = 0 - o + 4*u**2 + 2*u + 9*u**2. Let z(q) = -6*q**2 - q + 6. Determine 4*f(c) + 9*z(c). -2*c**2 - c + 2 Let v(u) = 13*u**3 + 51*u. Let m(j) = 7*j**3 + 26*j. Calculate 11*m(r) - 6*v(r). -r**3 - 20*r Let u(w) = -16*w**2 - 4*w + 1. Let q(v) = 17*v**2 + 4*v - 1. What is 4*q(y) + 5*u(y)? -12*y**2 - 4*y + 1 Let c(a) = 9*a**2 + 15*a + 5. Let f(i) = 5*i**2 + 8*i + 3. Give 6*c(h) - 11*f(h). -h**2 + 2*h - 3 Let o(k) = -4*k + 2. Let s(i) = -i + 1. Let l(r) = -3*r + 4. Let h(w) = -l(w) + 5*s(w). Give -5*h(y) + 3*o(y). -2*y + 1 Let i(j) = -4*j + 2. Let w(b) = 15*b - 7. Let f be (-1 + (-3)/(-1))*(5 + -2). Calculate f*w(u) + 22*i(u). 2*u + 2 Let q(z) = -z**3 - z. Let h(l) = -3*l**3 - l**2 - l. Suppose -3*p - 4 = -4*p. Suppose -p*o + 8*o + 4 = 0. Determine o*h(m) + q(m). 2*m**3 + m**2 Let c(x) = -x**3 + x**2 - 1. Let s(z) = -30*z**3 - 7*z**2 + 3. What is -5*c(b) - s(b)? 35*b**3 + 2*b**2 + 2 Let d(w) be
{ "pile_set_name": "DM Mathematics" }
3 (base 12) to base 5. 214332 Convert -1753 (base 11) to base 14. -b5a 300032 (base 5) to base 6 111252 What is 1111010001011 (base 2) in base 10? 7819 310040 (base 6) to base 16 6048 -350 (base 11) to base 15 -1cd Convert 31304 (base 6) to base 13. 1bc4 What is -53010 (base 7) in base 6? -140213 -140 (base 6) to base 16 -3c What is -267 (base 11) in base 7? -630 Convert 4218 (base 11) to base 15. 19c5 What is 5264 (base 7) in base 6? 12335 What is -140310 (base 6) in base 2? -11001100010010 -313 (base 6) to base 3 -11100 -111101101 (base 2) to base 6 -2141 What is -3617 (base 9) in base 13? -12bb What is -8077 (base 15) in base 5? -1331422 484 (base 10) to base 15 224 11000110110100 (base 2) to base 6 134524 Convert 2433 (base 5) to base 7. 1034 Convert -4b3d (base 15) to base 12. -9341 Convert -32991 (base 10) to base 16. -80df -1699 (base 15) to base 7 -20124 20131 (base 6) to base 13 1288 What is -508 (base 11) in base 9? -751 What is 1114130 (base 5) in base 3? 1000022121 What is 1000100110010 (base 2) in base 9? 6031 Convert -948 (base 16) to base 10. -2376 Convert 41401 (base 5) to base 8. 5246 What is 1621 (base 16) in base 9? 7684 What is -31b3 (base 14) in base 8? -20611 d184 (base 15) to base 14 1218c Convert c0e (base 15) to base 14. dbc 9768 (base 10) to base 16 2628 What is 320 (base 12) in base 5? 3311 What is -11050 (base 6) in base 15? -6cc What is -2024 (base 9) in base 16? -5c8 -1259 (base 12) to base 11 -1626 Convert -16286 (base 9) to base 8. -25647 What is 5355 (base 7) in base 10? 1902 2021121102 (base 3) to base 5 2414122 What is -1011001010101011 (base 2) in base 4? -23022223 251244 (base 7) to base 16 b40c 101303 (base 5) to base 11 2556 Convert 7348 (base 9) to base 11. 4060 Convert -1121000 (base 3) to base 11. -966 Convert 251 (base 16) to base 5. 4333 Convert -2341 (base 5) to base 4. -11122 Convert -2244 (base 8) to base 13. -705 Convert -183 (base 13) to base 4. -10110 Convert 1011100100010 (base 2) to base 4. 1130202 What is 5405 (base 6) in base 14? 63b 112120 (base 4) to base 9 1861 10104 (base 5) to base 13 3b4 What is -13a71 (base 12) in base 11? -19690 1105314 (base 6) to base 9 84271 Convert -20201010 (base 3) to base 8. -11432 2aa2 (base 12) to base 8 11632 Convert -24630 (base 10) to base 15. -7470 -2705 (base 15) to base 5 -231310 -302102 (base 4) to base 15 -e48 What is -3a4 (base 12) in base 11? -466 Convert -474 (base 8) to base 12. -224 -132 (base 14) to base 6 -1040 What is -11323 (base 5) in base 11? -6a2 -518 (base 9) to base 12 -2b2 Convert c967 (base 16) to base 2. 1100100101100111 37b (base 13) to base 16 261 Convert 1286a (base 12) to base 5. 1303201 -1050 (base 7) to base 15 -1a3 What is -131 (base 4) in base 7? -41 -1424 (base 10) to base 13 -857 -42a8 (base 11) to base 13 -2783 What is 5a4 (base 11) in base 10? 719 Convert -1555 (base 7) to base 6. -2524 -1101000021 (base 3) to base 8 -64544 Convert 2230 (base 8) to base 10. 1176 Convert -242 (base 10) to base 3. -22222 51 (base 14) to base 3 2122 Convert -23362 (base 8) to base 15. -2e4a Convert -4242 (base 7) to base 2. -10111011100 -31a (base 12) to base 14 -246 Convert -650 (base 7) to base 9. -405 114131 (base 8) to base 4 21201121 -1421 (base 5) to base 16 -ec Convert -1233002 (base 4) to base 10. -7106 What is 131a (base 12) in base 6? 14034 What is -22062 (base 9) in base 4? -3210230 What is -2d21 (base 14) in base 16? -1f81 Convert 204 (base 8) to base 3. 11220 782 (base 15) to base 6 11505 25c (base 13) to base 6 1531 What is -a611 (base 13) in base 12? -11386 What is 1121 (base 5) in base 3? 12222 Convert -7085 (base 9) to base 3. -21002212 What is -201221 (base 3) in base 5? -4123 Convert -1111100011011000 (base 2) to base 12. -30a48 6c3 (base 15) to base 6 11033 What is 2593 (base 11) in base 7? 12552 What is -245 (base 12) in base 5? -2331 Convert 111202121 (base 3) to base 14. 3929 Convert 1114 (base 7) to base 11. 337 Convert 1110502 (base 6) to base 14. 16538 Convert -2200021 (base 4) to base 14. -3a41 What is -11323030 (base 4) in base 10? -24268 11000011101100 (base 2) to base 15 3a9e Convert 64451 (base 8) to base 7. 141326 814 (base 12) to base 14 5d6 Convert 100010 (base 4) to base 8. 2004 -140041 (base 5) to base 11 -4273 -1191 (base 10) to base 16 -4a7 Convert 2c (base 14) to base 3. 1111 Convert 232 (base 12) to base 7. 644 What is 3042 (base 8) in base 4? 120202 0 (base 11) to base 3 0 -1000000111001111 (base 2) to base 5 -2030411 -123300 (base 4) to base 14 -90c 190 (base 16) to base 11 334 87a (base 12) to base 8 2336 What is 103234 (base 5) in base 3? 11220012 Convert -414 (base 15) to base 11. -766 43 (base 12) to base 4 303 -450a (base 11) to base 7 -23213 Convert 110001111110111 (base 2) to base 13. b857 What is 11110111001011 (base 2) in base 11? 10981 24 (base 12) to base 8 34 Convert -74 (base 15) to base 8. -155 What is -10637 (base 9) in base 10? -7081 What is -100000101100110 (base 2) in base 11? -11640 -18c7 (base 14) to base 11 -340a Convert 1d7b (base 16) to base 14. 2a71 10110010000 (base 2) to base 3 1221202 Convert 1a8 (base 14) to base 5. 2334 -20232 (base 4) to base 8 -1056 -530 (base 9) to base 4 -12300 What is 244 (base 14) in base 7? 1214 What is -9a7a (base 11) in base 4? -3033130 215c (base 16) to base 2 10000101011100 1755 (base 10) to base 12 1023 1234 (base 5) to base 2 11000010 Convert -8880 (base 12) to base 14. -56c8 What is 31413 (base 6) in base 5? 114012 44062 (base 7) to base 13 5029 168 (base 14) to base 3 101200 -103055 (base 7) to base 10 -17876 What is -e6d (base 15) in base 14? -1285 What is 1002232 (base 4) in base 15? 13ea Convert 60552 (base 7) to base 14. 54d2 What is 3158 (base 15) in base 13? 4997 Convert -244 (base 10) to base 14. -136 What is -5b (base 14) in base 5? -311 1640 (base 8) to base 16 3a0 Convert 222 (base 6) to base 12. 72 What is da8 (base 16) in base 13? 178c What is a8b (base 15) in base 12? 1465 What is -14 (base 13) in base 4? -101 Convert -6897 (base 12) to base 11. -8818 Convert cb0 (base 16) to base 4. 302300 -2509 (base 12) to base 10 -4185 -520 (base 15) to base 14 -5c7 Convert -2c56 (base 14) to base 2. -1111011101100 2651 (base 10) to base 9 3565 Convert 276 (base 16) to base 6. 2530 What is 87d3 (base 15) in base 10? 28773 -110110010111 (base 2) to base 13 -1778 What is 22102 (base 4) in base 12? 46a Convert -1100110111 (base 2) to base 8. -1467 What is 13a2 (base 14) in base 12? 2016 Convert 20012212 (base 3) to base 7. 16133 310 (base 9) to base 4 3330 Convert 34101 (base 6) to base 2. 1001010110101 What is 200 (base 13) in base 6? 1322 What is -823 (base 14) in base 15? -719 Convert 16b (base 16) to base 2. 101101011 Convert -234424 (base 6) to base 16. -4ff0 940 (base 13) to base 12 ab1 Convert -1331 (base 16) to base 13. -230c What is 75a (base 14) in base 15? 66c -2343433 (base 5) to base 10 -43618 Convert 10201100 (base 3) to base 14. db7 What is 4bf (base 16) in base 14? 62b Convert 2165 (base 8) to base 5. 14031 Convert 102100200 (base 3) to base 9. 12320 What is -3506 (base 10) in base 9? -4725 24314 (base 8) to base 6 120204 What is 1011100000 (base 2) in base 7? 2101 Convert -41 (base 7) to base 14. -21 -46714 (base 8) to base 3 -1000022122 2fdd (base 16) to base 8 27735 33020 (base 8) to base 2 11011000010000 -230714 (base 8) to base 5 -10001114 -3116 (base 7) to base 13 -65c What is -14312 (base 5) in base 11? -9a8 What is 1301 (base 4) in base 15? 78 Convert -220b7 (base 12) to base 8. -130013 -3961 (base 12) to base 9 -8881 -166640 (base 7) to base 11 -2326a -57 (base 16) to base 14 -63 Convert 438 (base 11) to base 16. 20d 7423 (base 12) to base 7 52011 a314 (base 14) to base 4 12312032 What is 4150 (base 12) in base 16? 1bcc Convert 10c0 (base 16) to base 2. 1000011000000 What is 34205 (base 6) in base 5? 123304 -2255 (base 7) to base 3 -1010112 What is 105 (base 11) in base 13? 99 What is -3471 (base 8) in base 2? -11100111001 Convert -27009 (base 10) to base 4. -12212001 7005 (base 9) to base 5 130413 What is -2195 (base 10) in base 6? -14055 What is -50014 (base 7) in base 6? -131344 5b80 (base 12) to base 7 42042 3123 (base 7) to base 14 583 What is 220 (base 5) in base 7? 114 -1c067 (base 14) to base 8 -213413 Co
{ "pile_set_name": "DM Mathematics" }
s y(v) a multiple of 54? True Suppose 2*f + 2 = -3*n + 32, 14 = 2*f - 5*n. Suppose -f = -y + 38. Is 7 a factor of y? False Let j(l) = -4*l**3 + 3*l**2 - 4*l - 2. Let d(a) = 0*a**3 - 9*a + 1 + 5*a**2 - 7*a**3 - 6. Let k(c) = 3*d(c) - 5*j(c). Is k(-2) a multiple of 2? False Let q = 1902 + -1345. Is 4 a factor of q? False Let y be 39/((-2)/(40/(-15))). Suppose n - y + 0 = 0. Let f = -2 + n. Is 13 a factor of f? False Suppose -4*o - 5*j = -92193, 3*o - 46097 = o - 3*j. Is o a multiple of 132? False Let c(o) be the third derivative of 27*o**4/8 - 6*o**3 - 32*o**2 - 3. Does 69 divide c(3)? True Suppose 2 + 12 = -3*v - f, 23 = -v - 4*f. Does 29 divide (-58)/(-2*v/(-51))? True Let b(z) = -2*z + 66. Let x be b(32). Does 3 divide -2 - 2346/(-24) - x/(-8)? True Let f = -14962 - -22362. Is 7 a factor of f? False Let s(d) = -3*d**2 + 10*d - 20. Let u be s(6). Let a = u - -71. Suppose 6*y = -a*y + 108. Is y a multiple of 2? True Is (102/(-4) + 180/(-20))*-236 a multiple of 46? True Let x = -1128 + 406. Let y = -524 - x. Is y a multiple of 22? True Suppose -4*j + 12165 + 3391 = -2*q, -q - 3890 = -j. Is j a multiple of 9? True Let p(o) = 5*o - 66. Let y = 30 + -17. Let c be p(y). Is 15 a factor of (1 - 3 - c)/(4/(-720))? True Let v = 50508 + -29917. Is v a multiple of 31? False Let t(m) = -m**3 + m**2 - 24*m + 30. Let z be t(9). Let y = 1212 + z. Is 18 a factor of y? True Let a = -364 + 374. Is (44/(-16))/(a/(-1360)) a multiple of 22? True Suppose 0 = 7*f - 12 + 5. Suppose -l + f = t, -3*l - 2*l - 4*t + 8 = 0. Suppose -m + h = -51, l*h = -3*m + h + 153. Is 17 a factor of m? True Does 25 divide (-26 - 44460)/(3 + -5) - -2? False Let d = -9 - -237. Does 12 divide d? True Let l(u) = -20*u**2 + 3*u - 2. Let i be l(1). Let j = 25 + i. Does 24 divide (3 - (-14)/j)*18? True Let y(j) = 15*j - 282. Let r be 150/5 - (-5 - -8 - 2). Does 9 divide y(r)? True Let w(f) = -f**3 + 8*f**2 + 19*f + 30. Suppose -9*d + 36 = -54. Is 5 a factor of w(d)? True Let s(i) = i**2 - 27*i - 58. Let f be s(-2). Suppose f = -w + 432 + 95. Is w a multiple of 31? True Let c be 17/(-136) - 978/(-16). Suppose -4*g + 169 = c. Does 9 divide (4/(-12))/(1*(-1)/g)? True Let p = 11921 - 6135. Does 35 divide p? False Let f(l) = -l**3 + 14*l**2 + 14*l + 24. Let i be f(15). Suppose -i*r - 3*r = -2760. Is r a multiple of 23? True Let g(a) = -a**3 + 49*a**2 - 47*a - 43. Let t be g(48). Does 11 divide t/(2 - 1) + 80? False Let t be ((-1)/(-3))/((-9)/891*-3). Suppose 8690 = -t*u + 22*u. Is 12 a factor of u? False Let p = -42 - -49. Suppose 24 = p*w - 11. Suppose 3*d - 5*h - 54 = 0, -130 = 2*d - 7*d - w*h. Is 3 a factor of d? False Let o(g) = -g**2 + 51*g - 60. Is 43 a factor of o(41)? False Suppose 12 = -6*a + 4*a. Let v = 2 + a. Let k(b) = 4*b**2 - 3*b + 6. Is k(v) a multiple of 8? False Suppose -n + 0 = g - 1, 5*n - 3 = -4*g. Let d(j) be the third derivative of -67*j**6/120 - j**4/24 + 2*j**2. Is 6 a factor of d(n)? False Let p(d) = 222*d - 807. Does 25 divide p(6)? True Let g be (-2)/(-1 + -7) + (-1476)/(-48). Suppose g - 13 = -6*s. Is 15 a factor of (-24)/9*(-39 - s)? False Let q(v) be the first derivative of 8*v**2 - 5*v + 14. Let t be q(2). Is 9 a factor of 2*(0 - t/(-6))? True Let g(d) be the first derivative of 15*d**2/2 - 149*d - 86. Does 8 divide g(21)? False Suppose 44*y - 2591348 - 612679 = -13*y. Is 85 a factor of y? False Let g(t) be the second derivative of -t**3 + 33*t**2/2 - 17*t. Let x be g(6). Is 15 - (7/42 - x/(-18)) a multiple of 7? False Suppose 2*v - 4378 = d - 4*d, -v = -3*d + 4363. Suppose 18*o - 10*o - d = 0. Is o a multiple of 16? False Suppose -13685 - 23708 - 4367 = -12*i. Is 12 a factor of i? True Let b(a) = a + 24. Let z be b(-16). Let q(x) = x**3 - 4*x**2 + 16. Is 8 a factor of q(z)? True Let q = 25 - 17. Suppose -3*c + q = c. Does 18 divide c/2 + (35 - (3 - 3))? True Suppose 5*m = 1 + 24. Suppose 0 = -m*b + 7*b + 20. Is b/(-35) - 537/(-7) a multiple of 14? False Is 9 a factor of 6 + 16558 + 51/(-17)? False Is (2 - 447)/((-9)/357 + 4/(-34)) a multiple of 35? True Let g = -6615 - -20706. Is 11 a factor of g? True Suppose -67*x = 92*x - 649781 - 137587. Is 11 a factor of x? False Let v be ((-173)/2)/((-2)/12). Suppose -6*c + 3*c = v. Let b = c - -261. Is b a multiple of 22? True Suppose -36*h = -33*h - 1287. Suppose 5*f = 111 + h. Let x = 118 - f. Is x a multiple of 10? True Let l(v) = -16*v**3 - 10*v**2 - 88*v - 528. Does 13 divide l(-7)? False Suppose 0 = -2*n + 6*w - 8*w + 22458, 0 = -n - 5*w + 11237. Does 28 divide n? False Let r be 5/20 - 2163/12. Let y = -115 - r. Is 18 a factor of y/2 + -2*6/(-8)? False Is ((-1385)/(-7) + 3)/(210/735) a multiple of 12? False Let s(t) = -t**3 + t**2 + 70*t - 136. Let z be s(2). Let j = -52 + 88. Suppose z = 4*x - 20 - j. Is x a multiple of 11? False Suppose -2*t + 4*r + 555 + 15405 = 0, -23940 = -3*t + 4*r. Suppose t = 24*q - 17*q. Is q a multiple of 15? True Let c(g) = -2*g**2 + 0 - 3 + 8 + g**2. Let t be c(0). Suppose 5*b - 4*h = 297, 10*h - t*h + 186 = 3*b. Does 31 divide b? False Let c = 1 - 1. Suppose 2*q + 3*l - 16 - 17 = c, 0 = 3*q - 2*l - 17. Suppose 700 = 16*r - q*r. Is r a multiple of 25? True Suppose -2*v = -z + 15638, 0 = -3*z - 3*v + 14304 + 32583. Does 180 divide z? False Let j be (2812/(-185))/((-2)/275). Suppose 3*d - j + 1640 = 0. Does 9 divide d? False Let a(b) = -36*b + 123. Suppose 0 = -3*u - y - 12, -2*u - 4*y = -27 + 35. Is a(u) a multiple of 24? False Let a(q) = 13*q + 12. Let n(i) = i + 1. Suppose 0 = 4*h + 10 - 2. Let z(w) = h*n(w) + a(w). Is 13 a factor of z(5)? True Suppose 9*s = 6*s + 5*m + 37, 2*s = 3*m + 24. Is (1 - s/6)/(16/(-1792)) a multiple of 28? True Let z be (-111)/(-7) - 12/(-84). Let k(b) = 6*b + 14. Does 31 divide k(z)? False Let c = 199 + 138. Suppose -1511 = -21*h + c. Is h a multiple of 4? True Let c be (-212)/(-6) + (6 - -3)/(-27). Is (6 - 1300/c)*(-21)/3 a multiple of 31? False Suppose -851 = -6*k + 2*k + 2129. Is k even? False Let p(s) = -s**3 - s**2 + 6*s + 8. Let o be p(-4). Suppose 0 = -o*a + 30*a + 68. Is a a multiple of 5? False Let n(f) = 3719*f**3 - 2*f**2 + 35*f - 32. Is 20 a factor of n(1)? True Let a(r) be the third derivative of -r**6/120 + r**5/30 - r**4/24 + 5*r**3/6 - 14*r**2. Let d be a(2). Suppose -d*s + 144 = 3*s. Does 8 divide s? True Suppose -30 = -41*x + 47*x. Suppose 24 = -72*u + 73*u. Does 4 divide (u/x)/(4/(-30))? True Suppose 119*g - 1030298 = -187302. Does 6 divide g? False Does 12 divide (0 - (-34 + -14)) + 0? True Let a = 40883 + -4931. Is a a multiple of 112? True Let f(i) be the first derivative of -i**4/4 - 16*i**3/3 - 13*i**2/2 + 28*i - 42. Let u be f(-15). Is 14 a factor of u/(-8) - ((-2680)/32 - 0)? True Suppose 2*w - 222118 = -218278. Is w a multiple of 10? True Let t(n) be the third derivative of -n**6/120 + n**5/60 + n**4/8 + 136*n**3/3 - 22*n**2. Does 16 divide t(0)? True Let n(s) = 2042*s + 599. Is n(3) a multiple of 4? False Let u(f) = -4*f + 15 - 21 - 8*f - 7*f - 27. Is 17 a factor of u(-10)? False Is (-1*20/(-15))/(134084/44694 + -3) a multiple of 26? True Suppose 2*r + 10 = -0*r - 2*n, 0 = -n + 3. Let s = 192 - r. Does 8 divide s? True Let f = -9949 + 23605. Is 12 a factor of f? True Let a(t) be the first derivative of -t**4 - 5*t**3/3 - 7*t**2/2 - 14. Does 12 divide a(-4)? True Let a be 69/(-15) - -1 - 12/30. Is (-164)/(-5 - 18/a) a multiple of 4? True Let o = -20 + 7344. Is o a multiple of 5? False Let c be 3/(((-3)/(-9))/((-8)/(-12))). Suppose c*i - 8*i = -5*u + 1146, -i + 453 = 2*u. Is 50 a factor of u? False Let d(s) = 37*s + 28. Suppose 7*v - 13*v - 714 = 0. Let w = v + 123. Is 25 a factor of d(w)? False Suppose 0 = -39*f + 1133 - 3473. Is -7 + 7 - (f - -3) a multiple of 57? True Suppose -99104 = -8*q - 38*q + 568816. Does 13 divide q? False Let r = -38 - -8. Let y = 32 + r. Suppose -s + 31 = 4*i, -y*s + 75 + 5 = -i. Is 15 a factor of s? False Let v(c) = -1442*c + 4968. Does 7 divide v(-17)? False Let w = -744 + 1140. Suppose 5*s - 2*g - w - 134 = 0, 0 = 3*s - 2*g - 318. Suppose r - 67 = -0*r + 5*v, 4*v - s = -3*r. Is r a multiple of 21? True Suppose 15 = k - 5*i, -28*k + 12 = -27*k - 4*i. Let u = 7 + -6. Suppose -p - 6 + u = k, -2*q + 267 = -3*p. Does 18 divide q? True Let h(i) = -i**3 - 66*i**2 + 14*i - 3680. Is 36 a factor of h(-69)? False
{ "pile_set_name": "DM Mathematics" }
)/(162/(-16)))/((-21)/(11781/22)*1) -68 What is the value of ((-520)/(-39))/20*(-741)/26? -19 Calculate (168/36)/((-14651)/5382). -12/7 Calculate 20*(-4)/1960*14. -4/7 Calculate 158/(-3)*((-8980)/43104)/((-5)/(-36)). 79 Evaluate 8/15*-5*((-121)/(-110))/(6/(-135)). 66 Evaluate ((105/(-28))/(-1))/((-36)/(-1536)*-28). -40/7 What is 12/(-34)*(-13972538)/40422? 122 What is 610/2745*2124/8? 59 Calculate (-2)/(((-1)/((-12)/(-1)))/((-7)/28))*-8. 48 Calculate (1*5)/(84/(228984/470)). 29 ((-32)/(-10))/((-4)/(-30))*332/1328 6 Evaluate (-3*(-32)/216)/(((-144)/(-4))/18). 2/9 (-80)/840*255/34*-1 5/7 What is 6/(-3)*(714560/(-128))/(-203)? -55 What is the value of (18/39)/((-3840)/7040*4/((-16)/(-11)))? -4/13 What is the value of (3/6*120/(-16))/(150/1600)? -40 What is the value of 3/(-12)*-6*(-171)/(-258552)*28? 1/36 Evaluate (194/(-388))/(((-2916)/(-16))/9). -2/81 What is the value of (11/2*600/(-825))/((-2)/(-16))? -32 Calculate ((-28)/(-8))/((4383/(-4870))/(3*(-3)/(-45))). -7/9 What is 7/((-105)/40)*63/21? -8 -6*((-10)/(-1))/(150/(-84)*(-49)/35) -24 (-1555)/(-11196)*(-5)/25 -1/36 What is the value of (-1337)/(-382)*36/2709? 2/43 What is the value of (1826/415)/((-319)/870)? -12 What is the value of (-39)/6*(-246)/(-123)*(-6)/(-3)? -26 What is (336/(-36))/(-28)*-12*(-423)/36? 47 Calculate ((-3)/((-240)/440))/(((-7)/126)/(2/(-3))). 66 ((((-3)/(-1))/(-3))/(70/392))/((-1314)/365) 14/9 What is the value of ((-64)/(-144))/((-348)/261)? -1/3 What is the value of (16/(-960))/((-64)/(-256))? -1/15 (-432)/4*(-2360)/10620 24 What is the value of 4156/8312*-2*1/(-7)? 1/7 What is the value of 78/((-3900)/(-250))*26/7*(-105)/75? -26 (7/(-112))/(410/(-721600)) 110 Evaluate ((-8)/(-5))/((75548/(-4675))/202). -20 What is the value of (6*32/(-4))/(120/(-160)*6/3)? 32 Evaluate (-21)/(-30)*(-6195)/(-20237). 3/14 What is (-16)/(4256/(-14))*817? 43 What is (-8*4/32)/((-122)/14518)? 119 What is (-6)/40*((-1402)/290214)/((-2)/48)? -2/115 (6*(-16)/384)/((-3)/348) 29 (35/14*(-28)/35)/((-840)/(-1764)) -21/5 What is the value of (17204/(-38709))/((-32)/63)? 7/8 What is the value of (1/1)/(5/((-160)/416))*(-130)/20? 1/2 What is 4/(-11)*1323685/(-11740)? 41 Calculate (((-5)/4)/(5754/(-13152)))/((-1)/28). -80 Evaluate (3/1)/(7293/748). 4/13 Calculate (108/(-4896))/(90/160). -2/51 (-256)/2*(-3833)/30664 16 Evaluate ((-1185)/7268*23)/((9/3)/(-12)). 15 17*(-568)/(-6035)*(-55)/(-2) 44 Calculate ((105/24)/7)/((84*48/(-256))/(-18)). 5/7 What is the value of (-32)/(29/((-87)/18)*5)*9/6? 8/5 What is (-1861)/(-1861)*138/3? 46 -4*(-391)/(-34)*(16/(-8))/(-4) -23 What is the value of -8*(((-286)/132)/13)/(((-85)/3)/5)? -4/17 -9*4*(-2834)/(-8502) -12 Evaluate (((-119856)/4032)/227)/(165/(-40)). 2/63 Evaluate (-26)/13*-9*13*11/2574. 1 Calculate ((-2576)/(-920))/((-20)/(-25)). 7/2 Evaluate (-11)/3*((-1032)/731)/(12/(-102)). -44 Calculate (100/15)/(((-19)/(-171))/(42/168)). 15 (((-32076)/1683)/108)/((18/4)/3) -2/17 What is the value of ((-4)/(-7))/((61/(-61))/(56/432))? -2/27 Evaluate ((-2415)/5796)/((-115)/24). 2/23 ((4/(4/29))/((-2)/2))/((-14411)/14411) 29 What is the value of ((-7784)/4170)/(2/(-10))*(-1)/(8/12)? -14 Calculate (8/(-480)*12)/(2580/8*(-4)/100). 2/129 Evaluate ((14*6/(-588))/((-28)/(-16)))/((-4)/(-14)). -2/7 What is the value of (-1316)/98*((-238)/(-238))/((2/2)/7)? -94 What is (29/(1450/(-15)))/((-99)/(-26070))? -79 What is -2*(100/7)/((-816)/(-59262)*83)? -25 What is the value of (((-60)/(-48))/(225/(-120)))/(2/(-57))? 19 (-56)/8*(15/(-90))/(91/1014) 13 Calculate ((-88965)/3295)/(8/12*(-2)/4*-1). -81 What is (84/35)/((23/10)/(-23))? -24 112*((-27)/30)/3*(10200/80)/51 -84 Evaluate ((((-50)/(-44))/(-5))/((-186)/1023))/(15/54). 9/2 Calculate 14*(-36)/1134*(-351)/(-39). -4 (120/(-1240))/(3*3/15*(-270)/(-54)) -1/31 Calculate 40/450*(-2)/(-5)*775/(-124)*11. -22/9 1*59/(-1)*(-10)/((-120)/(-12)) 59 Calculate ((-61)/(-976)*40)/((-15)/(-438)). 73 (-50)/12*1213/151625 -1/30 What is the value of (4/((-28)/(-9)))/(44*(-147)/(-166012))? 33 Calculate (-5)/4*((-2)/280)/(-2*34/238). -1/32 Evaluate (182/(-28))/(1040/(-100)). 5/8 Evaluate ((-8)/30*186/(-248))/(22/(-220)). -2 What is (((-19840)/352)/62)/((-32)/22)? 5/8 Calculate ((140/(-25))/(6/(-10)))/((-1602)/(-2403)). 14 Calculate ((-42)/(-3))/(7/(-14)*(-12)/(-18)*1). -42 Evaluate (5580/3255)/((-138)/1127). -14 Evaluate ((-4)/(-2)*-2)/((-20)/110)*(-63)/42. -33 325/390*63/15*30/28*12 45 What is (((-76024)/(-78))/43)/((-2)/3)? -34 Evaluate 35/(-50)*(-7)/(196/12). 3/10 What is ((-3)/774)/(616/7392)? -2/43 Evaluate 69*-11*16/88*((-1)/(-1))/6. -23 Calculate (-858)/660*-10*-5. -65 Calculate (-72)/(-26)*12768/57456. 8/13 Calculate (2/(-5))/((-21198)/(-1536855)). -29 Evaluate ((-50)/20)/(171130/(-872)). 2/157 What is ((-264)/(-40))/11*(-38)/(-38)? 3/5 What is the value of (-66)/160*1880/(-2585)? 3/10 What is the value of 8*(-8)/60*372/2480? -4/25 What is 36/(-120)*5*356/37647? -2/141 Evaluate (-1224)/850*8/(-24)*5. 12/5 ((204/33)/(-34))/((-6)/(-1419)) -43 Evaluate (((-119520)/(-83))/36)/(((-2)/6)/(1/2)). -60 (((-40086)/36)/131)/((15/(-2))/(-3)) -17/5 Calculate 52*77/66*(-81)/126. -39 (-2)/10*-1*-97*970/(-357542) 1/19 Evaluate ((-3)/(-6))/(4/110)*(-344)/2580. -11/6 Calculate (3/2)/(585/5850*(-10)/(-18)). 27 What is the value of 29302/(-17199)*(-108)/(-8)? -23 What is 1575/(-270)*120/(-2800)*50? 25/2 (-234)/((-63)/(3654/377)) 36 Evaluate ((-10126)/427)/((-30)/105). 83 What is (8/38)/(-101*(-182)/137865)? 30/19 Calculate ((25*(-1)/(-150))/2)/((-3)/56). -14/9 Calculate (-16)/12*(-78813)/(-2502). -42 (-99)/(-198)*12*(-2)/(-20) 3/5 Evaluate ((-345)/161)/((-21)/(-392)). -40 Calculate (-57)/9*(-358794)/73302. 31 What is the value of 0/(39/130*(-840)/(-14)*2/(-6))? 0 What is 18/(-20)*-1*1725/(-414)*48/(-930)? 6/31 Evaluate (90/(-105))/((-81)/(-2268)). -24 (6*(-1)/4)/(38607/7570) -5/17 What is (132/3)/(((-3)/(-48)*8)/(168/192))? 77 Evaluate 25/2*11*(-5152)/(-15400). 46 What is the value of (-1265)/(-440)*104*12/(-78)? -46 What is (300/(-220))/((-105)/(-21))? -3/11 Evaluate ((9472/185)/128)/(3/5). 2/3 What is the value of ((-80)/30)/((-5305)/(-6366))? -16/5 What is the value of (10*(-126)/(-175))/((51/170)/((-6)/(-2)))? 72 (85/50)/((-22)/715*-13)*1 17/4 5/125*(6/5)/(34/(-170)) -6/25 What is 116/8381*17*20/(-8)? -10/17 What is the value of 84/14*2/6*(-16)/((-128)/22)? 11/2 What is 464*(-126)/(-672)*(-14)/84? -29/2 (-13)/3*(-5580)/(-7130)*((-805)/10)/(-7) -39 -22*26*46/(-3289) 8 (56/14)/((-150)/245025*54) -121 What is the value of (((-146)/(-146))/(((-4)/24)/1))/(-4)? 3/2 Evaluate (-295)/(-236)*2/10*18/9*-13. -13/2 Calculate 27/(-12)*((-748)/(-6171))/((-42)/6). 3/77 Calculate (690*(-37)/1998)/((4/(-10))/((-24)/(-50))). 46/3 What is ((-70)/196)/((-20)/6*(-19224)/(-1869))? 1/96 What is ((-230868)/(-1908))/((-9)/(-9))? 121 Calculate ((-189)/12)/((2/(-20))/((-682)/(-1705))). 63 (-110)/(-33)*1/((-7)/21)*2/(-12) 5/3 Evaluate (-4)/18*9/((-792)/(-88)). -2/9 What is the value of (-2)/(-8)*(-267)/1602? -1/24 What is the value of (-63)/(312984/(-138))*1/((-4)/(-156))? 13/12 What is 44/(-660)*(-399)/2926? 1/110 Calculate ((-198)/(-66))/((-1)/5). -15 Calculate ((-108)/3)/324*36/210*14. -4/15 What is 2080/192*(-4)/(80/6)*(-6)/39? 1/2 3/(-7*18/9135*140/(-56)) 87 Evaluate ((-18)/4)/((-3029670)/359072). 8/15 What is the value of (129/17)/((-597)/(-3383))? 43 Calculate (-2)/(-1)*31134/(-88213). -12/17 What is the value of 73/((-657)/(-162))*((-84)/27)/(-7)? 8 Calculate ((-23142)/(-221270))/(475/(-125)). -3/109 Calculate (9975/35)/(-19)*4/(-156). 5/13 Calculate ((-2824605)/(-1708))/245*1/(-33)*-8. 18/11 What is (-4)/10*156*(-71)/(-923)? -24/5 ((-32)/((-3360)/(-15)))/(6/6) -1/7 What is (1332/7326)/(10/121)? 11/5 (-11)/33*(-18)/(-140)*266/(-399)*1 1/35 Calculate (-171)/(-12)*2408/(-301)*2/(-4)*1. 57 Evaluate (-3)/2*(-6)/((-18)/22*(-164)/(-492)). -33 Evaluate (4/(-48)*-3*12)/((-6)/(120/44)). -15/11 Calculate (-6)/78*9269/3565. -1/5 What is 152*(-6408)/1780*(-10)/114? 48 3/((30/(-160))/((-36)/(-24))) -24 353970/(-3420)*(-12)/46 27 (((-10)/1)/5)/(2156/(-560)*10/(-35)) -20/11 (-502)/1757*12/(-984)*(-42)/(3/(-1)) 2/41 Calculate (2/(28/78))/((-345)/(-8855)). 143 Evaluate 140/(-56)*-56*119/170. 98 What is 6*(-53)/1113*52/8? -13/7 (316/(-48))/((-11)/(-33))*8/2 -79 (1/(10/(-8)))/(65/((-650)/(-8
{ "pile_set_name": "DM Mathematics" }
ate k(-8). 4 Let s(o) = -3583*o - 100343. Give s(-28). -19 Let t(y) = -2*y**2 + 5181*y - 72177. Determine t(14). -35 Let y(z) = -12*z**2 + 4444*z - 13245. What is y(3)? -21 Let t(j) = 26061*j - 25872. Determine t(1). 189 Let d(c) = -c**2 - 70*c - 22. What is d(11)? -913 Let h(b) = 15383*b + 276902. What is h(-18)? 8 Let t(p) = 14890*p + 75527. Calculate t(-5). 1077 Let i(h) = -28936*h + 16. What is i(0)? 16 Let y(x) = -x**3 + 577*x**2 - 63492*x + 10. Calculate y(148). 10 Let h(y) = 3*y**2 + 569*y + 8212. Calculate h(-15). 352 Let o(b) = 12*b**2 - 68*b + 470. Determine o(10). 990 Let q(w) = 527*w - 8376. Calculate q(16). 56 Let d(n) = n**3 + 30*n**2 + 273*n + 297. Calculate d(-21). -1467 Let d(z) = 1562*z + 25046. Calculate d(-15). 1616 Let l(z) = -450*z + 21210. Give l(47). 60 Let u(i) = 35*i**2 - 2077*i + 735. What is u(59)? 27 Let o(r) = 2*r**3 + 349*r**2 + 14666*r + 290. What is o(-104)? 82 Let t(l) = -l**3 - 206*l**2 - 9070*l + 2227. Calculate t(-142). -329 Let x(y) = -7*y**2 - 1742*y + 26022. Calculate x(-263). -15 Let x(i) = -i**3 - 45*i**2 - 184*i + 4929. What is x(8)? 65 Let y(w) = -152130*w**2 + 1369167*w - 1. Determine y(9). -28 Let z(f) = -32*f**3 + 119*f**2 + 24*f - 29. Determine z(4). -77 Let m(s) = 2602*s + 275798. Calculate m(-106). -14 Let n(y) = -y**2 - 270356*y - 2162806. Calculate n(-8). -22 Let v(h) = 5*h**2 - 1079*h + 15693. Give v(15). 633 Let g(l) = 5064*l - 86040. Determine g(17). 48 Let u(v) = -5*v**3 - 59*v**2 + 93*v + 1387. What is u(-11)? -120 Let o(m) = 2*m**3 - 256*m**2 + 7599*m + 707. What is o(47)? 2 Let g(t) = 16149*t - 113052. Determine g(7). -9 Let v(k) = -451*k + 19896. Determine v(49). -2203 Let p(j) = 2*j**2 + 13010*j - 392107. What is p(30)? -7 Let w(k) = k**2 - 147*k - 529. What is w(109)? -4671 Let h(s) = -s**3 - 11*s**2 - 208*s - 2126. Calculate h(-10). -146 Let u(n) = -10*n**2 + 2138*n + 4733. What is u(216)? -19 Let z(x) = -19422*x + 1612026. What is z(83)? 0 Let v(z) = z**2 + 1280*z + 25251. Calculate v(-20). 51 Let t(z) = z**2 + 167301*z - 2007741. Calculate t(12). 15 Let c(j) = -7292*j - 386532. Give c(-53). -56 Let y(g) = 26*g**2 + 1728*g + 6921. What is y(-4)? 425 Let d(t) = 13*t - 3399. Give d(253). -110 Let o(w) = -3*w**2 - 95*w + 71. Calculate o(-20). 771 Let k(d) = 5*d**3 + 137*d**2 - 503*d - 7850. Calculate k(-29). 9 Let g(v) = -304*v**2 - 1268*v - 29. Calculate g(-4). 179 Let l(z) = -7*z**2 - 267*z - 1934. What is l(-28)? 54 Let w(y) = 51*y**2 - 422*y - 3. Determine w(8). -115 Let c(r) = -2*r**2 + 393*r + 6271. Determine c(-20). -2389 Let d(k) = -2406*k - 300765. Give d(-125). -15 Let b(y) = -y**2 - 4361*y - 82504. Calculate b(-19). -6 Let c(f) = -105*f + 15027. What is c(143)? 12 Let u(t) = 28*t**2 - 3252*t - 43054. Give u(-12). 2 Let m(u) = -2*u**2 + 384*u - 7805. Give m(169). -31 Let k(w) = -32*w**2 + 1635*w + 3273. Determine k(53). 40 Let j(o) = o**3 - 65*o**2 + 17484*o - 102779. Give j(6). 1 Let a(s) = -2*s**3 + 1433*s**2 + 19528*s + 132859. Determine a(730). -1 Let k(z) = 8676*z - 3791410. Give k(437). 2 Let n(o) = 2*o**3 + 91*o**2 + 399*o + 1170. What is n(-41)? -60 Let z(o) = 36*o**3 + 17*o**2 + 6*o - 159. Give z(-3). -996 Let m(b) = -b**3 - 20*b**2 - 674*b - 2993. Determine m(-5). 2 Let l(d) = -7267*d + 116256. Calculate l(16). -16 Let v(q) = q**3 + 34*q**2 + 56*q + 2204. Calculate v(-34). 300 Let y(k) = -12*k**3 + 130*k**2 + 13*k + 103. Give y(11). 4 Let y(p) = 17*p**2 - 52127*p + 52126. Give y(1). 16 Let m(j) = -j**3 - 34*j**2 + 245*j + 253. What is m(-40)? 53 Let o(t) = -596*t - 35111. Give o(-59). 53 Let u(q) = 985*q + 14770. Determine u(-15). -5 Let o(s) = 256*s - 177733. What is o(693)? -325 Let m(i) = -297*i + 1038. What is m(2)? 444 Let h(k) = 14*k - 142. What is h(-8)? -254 Let z(h) = -58025*h**2 - 696297*h + 10. Give z(-12). -26 Let q(h) = -h**3 + 88*h**2 - 776*h - 2552. Give q(13). 35 Let z(y) = 14391*y + 99762. Give z(-7). -975 Let s(t) = t**3 + 480*t**2 - 1911*t - 1370421. Determine s(-478). 5 Let u(i) = i**3 + 86*i**2 + 444*i - 760. Calculate u(-81). -3919 Let k(u) = u**2 + 590*u - 13911. Determine k(23). 188 Let v(a) = 449*a - 967. Calculate v(3). 380 Let n(f) = -73*f**3 + 17739*f**2 + 4*f - 992. Give n(243). -20 Let h(y) = -y**3 + 6*y**2 + 398*y - 2742. What is h(7)? -5 Let z(m) = -9*m**3 - 251*m**2 - 1164*m + 77. Determine z(-22). 33 Let v(y) = 4*y**3 + 9047*y**2 + 99034*y + 16. Give v(-11). 5 Let y(s) = 2*s**3 + 210*s**2 - 226*s - 1460. What is y(-106)? 24 Let s(f) = 101*f**3 + 4034*f**2 - 264*f - 963. Determine s(-40). -3 Let i(p) = -5630*p + 3620058. Give i(643). -32 Let y(u) = -25*u**2 + 471*u + 62. Determine y(19). -14 Let s(z) = 22106*z + 199099. Determine s(-9). 145 Let p(x) = -x**3 + 69*x**2 + 21*x + 132. Calculate p(69). 1581 Let t(k) = -822*k + 637866. What is t(776)? -6 Let b(k) = -34*k**2 - 108*k + 15766. Determine b(20). 6 Let x(n) = 1821*n - 149330. Determine x(82). -8 Let k(l) = 3*l**3 + 4*l**2 + 610*l + 1821. Give k(-3). -54 Let k(f) = 3*f**3 + 444*f**2 + 2561*f - 194. Calculate k(-142). -904 Let w(b) = 472*b + 43506. Determine w(-92). 82 Let a(w) = -2*w**2 + 79429*w + 476642. What is a(-6)? -4 Let p(s) = 39772*s - 1710194. Determine p(43). 2 Let x(l) = l**3 - 16*l**2 + 3213*l - 58507. Give x(18). -25 Let t(n) = -3309*n + 23205. Calculate t(7). 42 Let n(l) = l**2 - 26129*l - 444493. Determine n(-17). -11 Let q(o) = o**3 - 52*o**2 + 2113*o - 105186. Give q(51). -24 Let a(o) = 1944*o + 108967. What is a(-56)? 103 Let o(l) = 26391*l + 6149104. Determine o(-233). 1 Let f(j) = 1899*j - 53315. Determine f(28). -143 Let g(k) = k**2 + 13862*k + 855598. What is g(-62)? -2 Let l(g) = 103460*g + 3621108. What is l(-35)? 8 Let m(b) = 1578*b**2 - 907351*b + 586. Determine m(575). 11 Let p(i) = 3*i**2 - 81*i - 39. Calculate p(29). 135 Let w(v) = -v**2 - 303*v - 7860. Calculate w(-29). 86 Let r(p) = 1942*p - 743771. Determine r(383). 15 Let z(p) = p**2 - 5410*p + 97052. Give z(18). -4 Let w(y) = y**2 + 2532*y + 87354. Calculate w(-35). -41 Let c(q) = 42883*q + 343165. Calculate c(-8). 101 Let v(m) = 49663*m + 496641. Calculate v(-10). 11 Let d(t) = t**3 - 147*t**2 - 4106*t - 34. Determine d(-24). 14 Let r(h) = -h**3 - 82*h**2 - 1536*h + 139. Determine r(-29). 110 Let a(c) = -5*c**3 + 95*c**2 + 101*c - 3. Calculate a(20). 17 Let o(t) = 332*t - 8112. Determine o(27). 852 Let b(l) = 6*l**3 + 2026*l**2 - 674*l + 655. What is b(-338)? -21 Let a(s) = 2*s**2 + 2901*s + 1051780. What is a(-735)? -5 Let t(m) = -2624*m + 2638. Give t(1). 14 Let c(m) = -3*m**2 + 3743*m + 130632. Determine c(-34). -98 Let w(y) = -3436*y + 113400. Determine w(33). 12 Let r(g) = 2*g**3 - 7*g**2 - 1971*g + 5938. Give r(3). 16 Let z(a) = 277*a + 2323. Calculate z(-5). 938 Let d(x) = -10123*x + 30360. What is d(3)? -9 Let k(s) = 1383*s - 698444. Calculate k(505). -29 Let y(f) = -1016*f + 50788. Give y(50). -12 Let v(z) = -7407*z + 36780. Give v(5). -255 Let a(b) = -2*b**2 + 192*b + 6357. Calculate a(-26). 13 Let q(o) = -187*o + 143. Calculate q(11). -1914 Let j(q) = 262*q**2 - 1704*q - 958. Give j(7). -48 Let c(x) = -x**3 + 16*x**2 + 84*x + 65. What is c(20)? 145 Let l(x) = -10631*x + 5985331. Calculate l(563). 78 Let b(v) = 2*v**2 - 253*v + 2378. What is b(114)? -472 Let f(t) = 24*t**2 - 520*t + 2176. What is f(16)? 0 Let f(y) = y**3 + 112*y**2 + 174*y - 5785. Calculate f(-110). -725 Let i(t) = -3*t**3 + 17*t**2 + 22*t - 109. Calculate i(9). -721 Let x(t) = -7*t**2 - 233*t - 123. Calculate x(-27). 1065 Let h(u) = -9585*u - 153234. Determine h(-16). 126 Let n(x) = x**2 - 238053*x + 2618508. Give n(11). 46 Let n(p) = -9993*p - 3877293. Calculate n(-388). -9 Let u(j) = -23*j**2 - 1041*j - 5570. Give u(-39). 46 Let z(h) = 261*h**2 - 40713*h - 500. What is z(156)? -32 Let g(k) = -k**3 + 26*k**2 + 367*k - 9967. Give g(24). -7 Let k(x) = 17*x**3 + 24*x**2 + 33*x - 124. Calculate k(4). 1480 Let t(p) = 40*p**3 - 76*p**2 - 1182*p + 2368. Give t(2). 20 Let k(a) = a**3 - 171*a**2 + 806*a - 50748. Calculate k(168). -12 Let b(p) = 7480*p + 22176. Determine b(-3). -264 Let d(w) = w**3 - 23*w**2 + 1908*w - 37045. What is d(20)? -85 Let i(b) = -55*b**3 - 57*b**2 + 87*b - 23. Determine i(1). -48 Let y(p) = -3*p**2 + 922*p - 13186. Determine y(15). -31 Let s(t) = -t**3 + 226*t**2 + 935*t - 3345. Give s(230).
{ "pile_set_name": "DM Mathematics" }
of 107/6188 and 31/679. 600236 Calculate the common denominator of 38/9273 and 68/12645. 139095 What is the common denominator of -51/11 and 83/5964? 65604 Calculate the smallest common multiple of 82620 and 148716. 743580 What is the least common multiple of 7244 and 9055? 36220 What is the smallest common multiple of 404 and 4112? 415312 Calculate the common denominator of 73/1672 and -91/352. 6688 Calculate the common denominator of -92/75 and -89/300345. 1501725 Calculate the lowest common multiple of 612 and 375768. 375768 What is the smallest common multiple of 470349 and 1582083? 17402913 Calculate the lowest common multiple of 68 and 4050. 137700 Calculate the common denominator of -3/2 and -37/5498. 5498 Calculate the common denominator of 51/11618 and -101/20. 116180 Calculate the smallest common multiple of 36 and 17424. 17424 What is the smallest common multiple of 190099 and 728? 1520792 Find the common denominator of 34/1528329 and -50/416817. 4584987 What is the common denominator of -33/52 and 55/45938? 1194388 What is the least common multiple of 16 and 1280456? 2560912 What is the common denominator of 79/18 and -27/411856? 3706704 What is the least common multiple of 88 and 42868? 943096 Calculate the least common multiple of 512372 and 84. 1537116 What is the smallest common multiple of 6822 and 318? 361566 Calculate the common denominator of -97/90936 and 61/5052. 90936 Calculate the common denominator of 94/255 and -71/56244. 4780740 Find the common denominator of -31/481 and 56/611. 22607 What is the lowest common multiple of 149259 and 333? 16567749 Calculate the lowest common multiple of 962016 and 87456. 962016 Calculate the common denominator of 54/206335 and 59/165068. 825340 Find the common denominator of -81/8786 and 68/7449. 342654 Calculate the smallest common multiple of 217264 and 2202. 651792 What is the lowest common multiple of 102 and 41808? 710736 What is the lowest common multiple of 14476 and 373744? 4111184 What is the common denominator of 107/28665 and 22/1725633? 8628165 Calculate the common denominator of -61/13959 and 29/141. 13959 Find the common denominator of 43/402 and 47/93666. 93666 Calculate the common denominator of -137/3144 and 133/4272. 559632 What is the common denominator of -127/1008 and 151/271656? 543312 Calculate the least common multiple of 116556 and 20. 582780 Calculate the smallest common multiple of 49181 and 374. 98362 What is the common denominator of 5/1059 and -139/174? 61422 Find the common denominator of -43/232 and 25/715488. 715488 What is the common denominator of -39/9746 and -127/792? 350856 What is the common denominator of 43/16 and -59/62340? 249360 Calculate the lowest common multiple of 1716 and 66352. 199056 Calculate the smallest common multiple of 50 and 503030. 2515150 Find the common denominator of -149/9624 and -47/38496. 38496 Calculate the common denominator of 17/10182 and -58/11879. 71274 Find the common denominator of 149/75168 and 151/8352. 75168 What is the common denominator of 119/6768 and 23/554224? 4988016 What is the least common multiple of 3262 and 189? 88074 Calculate the common denominator of 40/13561 and -58/3. 40683 What is the common denominator of 1/17640 and -179/4788? 335160 Calculate the common denominator of 27/352 and 49/42220. 3715360 Calculate the common denominator of 1/2584 and -1/33915. 271320 What is the common denominator of -95/2951302 and 6/15653? 32464322 What is the smallest common multiple of 12 and 216? 216 What is the common denominator of 31/374 and 13/239156? 2630716 Find the common denominator of 149/756 and 27/224. 6048 Calculate the common denominator of -24/37 and 53/46065. 46065 What is the common denominator of -81/21736 and 79/24? 65208 What is the lowest common multiple of 206634 and 103317? 206634 Calculate the common denominator of 40/24783 and 23/24783. 24783 What is the least common multiple of 364 and 15067? 421876 What is the lowest common multiple of 4 and 244? 244 Find the common denominator of -57/104 and 145/1129518. 4518072 What is the common denominator of 49/178851 and 59/18? 1073106 What is the common denominator of 29/765925 and 137/6? 4595550 What is the common denominator of 13/42 and 10/129969? 259938 Calculate the common denominator of -9/2759 and 69/100. 275900 Calculate the least common multiple of 699384 and 273672. 6294456 What is the common denominator of 51/292 and 87/21512? 1570376 What is the lowest common multiple of 1368 and 35739? 285912 What is the smallest common multiple of 8242 and 65936? 65936 Calculate the common denominator of 105/11336 and -87/81968. 1065584 Calculate the common denominator of -19/168 and 27/61376. 184128 Calculate the least common multiple of 20 and 26. 260 What is the common denominator of 13/4640 and -3/182? 422240 Calculate the smallest common multiple of 23850 and 19080. 95400 Calculate the common denominator of -53/175980 and -43/72. 1055880 What is the least common multiple of 294 and 5684? 17052 What is the common denominator of -51/12859 and -31/7? 12859 What is the common denominator of -47/7920 and -61/5? 7920 What is the least common multiple of 417555 and 278370? 835110 What is the common denominator of -85/88 and -41/2801? 246488 Calculate the common denominator of 35/169614 and 73/197883. 1187298 What is the common denominator of -92/45 and 137/3978? 19890 What is the common denominator of 113/24600 and 121/885600? 885600 What is the smallest common multiple of 652 and 804? 131052 What is the smallest common multiple of 211876 and 1932? 635628 Calculate the common denominator of 119/134136 and 77/14580. 670680 What is the least common multiple of 6936 and 51? 6936 What is the smallest common multiple of 56 and 136024? 136024 What is the lowest common multiple of 39864 and 99660? 199320 What is the lowest common multiple of 99 and 62337? 187011 What is the least common multiple of 46440 and 10320? 92880 Find the common denominator of 67/52 and 11/2488. 32344 Calculate the smallest common multiple of 8080 and 3420. 1381680 What is the smallest common multiple of 6 and 45063? 90126 Calculate the lowest common multiple of 11551 and 8. 92408 Calculate the common denominator of -53/15132 and 41/201081. 10456212 Calculate the smallest common multiple of 34568 and 568. 2454328 What is the smallest common multiple of 14482 and 91? 101374 What is the common denominator of -43/28721 and -23/5222? 57442 Calculate the common denominator of -27/8 and -50/2607. 20856 Find the common denominator of -29/97674 and 57/82. 4004634 Calculate the smallest common multiple of 252 and 20. 1260 What is the least common multiple of 15456 and 3220? 77280 What is the common denominator of -27/14 and -69/55106? 385742 Calculate the lowest common multiple of 5 and 2490. 2490 Calculate the least common multiple of 24 and 9672. 9672 Calculate the least common multiple of 165 and 36513. 2008215 Calculate the lowest common multiple of 43884 and 4876. 43884 Find the common denominator of 167/334740 and -33/1115800. 3347400 What is the common denominator of 80/9681 and -91/70072? 1471512 What is the common denominator of 6/5 and -133/90414? 452070 Find the common denominator of 47/24 and 47/1179285. 9434280 Calculate the common denominator of -4/1917 and 62/3123. 665199 Calculate the common denominator of -97/748 and 137/2640. 44880 What is the common denominator of -27/130 and -167/3120? 3120 What is the common denominator of 71/1830 and 131/4026? 20130 Calculate the smallest common multiple of 244 and 5022. 612684 What is the common denominator of 181/40200 and -133/402? 40200 Find the common denominator of 83/10 and -173/515280. 515280 Calculate the lowest common multiple of 137445 and 135. 1237005 What is the least common multiple of 43296 and 72? 129888 What is the common denominator of 47/60 and -19/10896? 54480 What is the smallest common multiple of 39933 and 75429? 678861 Calculate the common denominator of 39/5 and 42/183457. 917285 What is the least common multiple of 37 and 16472? 609464 What is the common denominator of -47/217672 and 80/819? 1959048 Calculate the common denominator of 107/28 and 131/540. 3780 What is the least common multiple of 35127 and
{ "pile_set_name": "DM Mathematics" }
e closest to 0 in -2/11, -1/3, 0.4, 1, -1707200? -2/11 What is the nearest to 103 in 0, -1093, 5, 4? 5 What is the nearest to 10/41 in -2009, -1, -2/7? -2/7 What is the closest to -0.18 in -5, -4/7, -142, -2/25, 5, 2? -2/25 Which is the closest to 2934? (a) -0.0296 (b) 0.2 (c) 0.03 b Which is the closest to -19611? (a) 3/2 (b) -3/20 (c) 0.1 (d) -4/13 d What is the nearest to -2/3 in -0.3, 0.2, 8, -287, 0.9, -1/6? -0.3 Which is the nearest to -6/569? (a) -5/6 (b) 15 (c) 2/3 (d) 0 (e) 4 d What is the nearest to 0.2 in 163465/8, -2/7, 5, 3/11? 3/11 What is the closest to 12061 in -7, 1/5, -0.2, -10, -0.3? 1/5 What is the nearest to -6 in 0.3, -35/4, 15/2? -35/4 Which is the nearest to 0? (a) -6.754 (b) 0.9 (c) 0.2 (d) 2/7 c What is the closest to 35 in -7, 1, 53, 0.31? 53 What is the closest to -63/4 in -0.7, -5, 545, -1, -7/5? -5 Which is the nearest to 9? (a) 1.284 (b) 0.01 (c) 5 (d) 2/7 (e) -2 c Which is the nearest to -2? (a) 3 (b) -32.6 (c) -3 (d) -2/7 (e) -0.69 c What is the nearest to -0.1058 in -8, 83/2, 0.2, -1, -9, -0.2? -0.2 What is the closest to 29 in 2/35, -0.1, 1/7, 2.71? 2.71 Which is the closest to -5/3? (a) 4 (b) -26 (c) 16 (d) -1/3 d Which is the closest to 0.2? (a) -1.2 (b) -912 (c) -0.1 (d) -9 c What is the closest to 4 in 48, -1/8, 1/14? 1/14 Which is the closest to 3? (a) 0.3 (b) 94 (c) 0.2 (d) 55 (e) 8 a What is the nearest to -1/2 in -15, -0.2, -0.412? -0.412 Which is the nearest to -7? (a) 2.9 (b) 2916 (c) -0.3 c What is the closest to -0.06 in -1, -799, 4, -1/3? -1/3 Which is the nearest to 84485? (a) -0.4 (b) -2/13 (c) -1/5 b Which is the closest to 0.3? (a) 4 (b) -0.5 (c) 5 (d) -1/3 (e) -144/7 d Which is the closest to 1/2? (a) -2/7 (b) 0.03 (c) 0 (d) 0.07 (e) 0.226 (f) 16 e Which is the closest to -107? (a) -2/15 (b) 20 (c) -0.15 (d) -13 d What is the closest to 669.2 in -3, -31, 2/39? 2/39 What is the nearest to -2/9 in -1.69, 6, -503? -1.69 What is the closest to 1/2 in 2/7, -275, 16.3, -1/4, -0.3, -1? 2/7 Which is the closest to 1/3? (a) -1 (b) 1685.194 (c) 0.4 (d) -2/17 c What is the nearest to 469 in -2/11, -2310, 3? 3 What is the nearest to -0.03 in 601, 0.165, -1/5? -1/5 Which is the nearest to -0.4? (a) 2/3 (b) -993.05 (c) 1/5 (d) 0 (e) -2/3 e Which is the nearest to 0.04? (a) 0.3 (b) 1/33 (c) -88 (d) 19 b Which is the closest to -4? (a) -1/3 (b) -467/3 (c) 2/33 (d) 0 (e) 3 a Which is the nearest to -0.339? (a) 5 (b) -4232 (c) -5 (d) 4 (e) -3 e Which is the closest to -1/2? (a) 2/11 (b) 45.1 (c) 3/2 (d) -1.5 (e) -3 a Which is the closest to 162? (a) 4 (b) -5 (c) 15 (d) -0.5 (e) -164 c Which is the closest to -1? (a) 6 (b) 9249 (c) -9 a What is the nearest to -1030 in -3, -0.4, -195, 6? -195 What is the nearest to -0.4 in 0.2, 0.04, -4.7117, -2? 0.04 Which is the closest to -0.1? (a) -34170/13 (b) 3/2 (c) -0.3 (d) 1/8 c What is the nearest to -0.04 in -0.253, -3, 165.1? -0.253 What is the closest to -1/3 in -292, -0.09, -8, 71? -0.09 Which is the closest to -71/3? (a) 43 (b) 9 (c) 1/8 (d) -0.2 (e) 1/4 d Which is the closest to 10? (a) 0.036 (b) 0.07 (c) -101.5 b Which is the closest to -3? (a) -2 (b) 1 (c) 1503/2 (d) -0.3 (e) -112/19 a What is the nearest to -52 in -5, -0.084, -2, 1, -0.01? -5 Which is the closest to -0.46? (a) -2 (b) -2/455 (c) 1/201 b What is the nearest to -236581 in 3/8, 8, -2? -2 What is the nearest to 2968 in 4, 1/8, 806, 1? 806 Which is the nearest to 0? (a) 5 (b) -2/3 (c) -2815 (d) -50 (e) -2 b What is the closest to -23 in 0.06, 1, -280, 219? 0.06 Which is the nearest to -4/7? (a) 0.3 (b) 4/3 (c) -2.34138 a What is the nearest to 16 in -1147, -24, 4/13? 4/13 What is the nearest to 0.1096 in 1, -27, 5, -10, 4? 1 What is the closest to -5 in 0.5, -34/3, 318, 1/18, -2? -2 Which is the nearest to -6? (a) 5 (b) 3/7 (c) 0.172455 c What is the closest to 0 in -4/5, -1/2, -28934? -1/2 What is the nearest to 0.08 in 853, -0.4, 3/5, -3? -0.4 What is the nearest to 0.064 in -3/7, -10, -4, 30? -3/7 Which is the closest to -50? (a) -139329 (b) -2/3 (c) -1 c What is the closest to 12 in -0.1, -0.083, 0.1, 5, 0.04? 5 Which is the closest to -94? (a) -6 (b) 0.08 (c) 112 (d) -1/4 (e) 4 a What is the closest to -18 in -115, 0.5, -60, -3, -2/17, -4? -4 Which is the nearest to 55? (a) -25 (b) -14 (c) 5 (d) -32/5 (e) -0.5 c Which is the closest to -1.336425? (a) -4/13 (b) 3/5 (c) 0.5 (d) 0 a Which is the nearest to -2/7? (a) -3 (b) 78741 (c) 3 (d) -0.4 d What is the nearest to -64 in -0.4, 0, -2/241, -1, -0.2, -16.3? -16.3 Which is the nearest to 1/4? (a) 74 (b) 9.671 (c) 0 c Which is the nearest to 0? (a) 0.5 (b) 6 (c) 12 (d) 9.71 (e) -2.4 a Which is the nearest to -2/3? (a) 0.9 (b) -5 (c) 1 (d) -11108/7 (e) 0.2 e Which is the nearest to 26? (a) -0.1 (b) -1/2 (c) 0.2 (d) -2/3 (e) 2/675 c Which is the nearest to -17? (a) 1 (b) -103/4 (c) -1 (d) 4 (e) -2/91 (f) -2 b Which is the nearest to 0.17? (a) 0.015 (b) -1 (c) -6 (d) 1 (e) 14/5 a Which is the nearest to 1? (a) 2/17 (b) 2/5 (c) -142158 (d) 2/13 (e) 2 b Which is the closest to -2/5? (a) -2/9 (b) 1/2 (c) -1 (d) 4.29 (e) 4 (f) -1/11 a Which is the nearest to -7? (a) 2/127 (b) -6 (c) 262 (d) 6/11 (e) 2 b Which is the closest to 0.4? (a) -2/13 (b) -0.1 (c) -42.834 (d) 0.4 d What is the closest to 697 in 1, -235, 3? 3 Which is the nearest to 319? (a) -95 (b) 0.06 (c) -32 b What is the nearest to 0 in -1, 10/9, -0.503? -0.503 What is the nearest to -11 in -50, 24, 103/5? 103/5 What is the nearest to 70 in 1/3, 3/2, -16/7, -0.6? 3/2 Which is the closest to 11/2? (a) -4 (b) -0.2 (c) 2.2838 c What is the nearest to 2 in -0.4, 4, 832/11, 2/7, -78? 2/7 What is the nearest to 9 in -4, -3/82, -1, 4, -5? 4 Which is the closest to 0? (a) 2/13 (b) 4/9 (c) 262/7 (d) -0.4 (e) 9/7 a Which is the nearest to -1? (a) 340 (b) 2 (c) -7 (d) -5 (e) -16 b Which is the closest to 1? (a) -0.4 (b) -3 (c) 0.3 (d) -469/2 (e) 0.154 c What is the closest to -0.07 in 3/358, 2/31, -90? 3/358 Which is the closest to 0.1? (a) -0.1 (b) -0.9 (c) -20/62861 c What is the nearest to 3/2 in -3/8, -11105.57, 0.4, 0.5? 0.5 What is the nearest to 1/3 in -2, 3, -23.4832, -0.68, 0.2, -5? 0.2 Which is the nearest to -0.3? (a) -2 (b) -270 (c) -0.106 (d) -2/3 (e) -1 c What is the closest to 14 in -3, 53409, 3? 3 Which is the nearest to 15? (a) -0.1 (b) 1 (c) 11 (d) 0.3 (e) -347 (f) -0.5 c Which is the closest to 0.07? (a) 5 (b) 32.56 (c) -61 a Which is the nearest to -3/24902? (a) 1.7 (b) 3 (c) 1/9 (d) -5 c What is the closest to 1 in -22, 1/6, 283/269? 283/269 Which is the nearest to -0.1? (a) -1/294 (b) -0.1 (c) -1/3 (d) 0.2 (e) -5 b What is the closest to -1 in -875773, -2/7, 5, -2, 2/7? -2/7 Which is the closest to -723/322? (a) 0.5 (b) 4 (c) 4/7 a What is the closest to 0.1 in 16, -1.66, -32/5, -1? -1 What is the nearest to 1 in 0, 8834/5, 56, 3, -2/9? 0 What is the closest to -188 in -0.1, 5, 13, -0.5, -7/2? -7/2 Which is the closest to -3? (a) 0.2 (b) 0.3 (c) -47239 a Which is the nearest to 16/7? (a) -0.5 (b) 0.345 (c) 5 (d) 0.1 (e) -19 b Which is the nearest to 193/91? (a) -0.9 (b) 1/2 (c) 1 (d) 7/2 (e) -4 c Which is the nearest to 5? (a) 0 (b) 8 (c) -9 (d) -0.08 (e) 60 b What is the closest to 2/5 in -0.2, 4/3, 4, -368896? -0.2 What is the closest to 1.684 in 69/16, 0, 0.1, -1, 3/5, -1/4? 3/5 Which is the closest to -27419? (a) -4 (b) 9 (c) -0.2 (d) -8 d What is the closest to 1/4 in -0.4, 2, 0.1, -1490, -2/7? 0.1 Which is the nearest to -3/8? (a) -0.3 (b) 7/5 (c) 0.12 (d) -0.2 (e) 0 a Which is the nearest to -1? (a) -3 (b) 2/2433 (c) -12029 (d) 0.3 (e) 5 b What is the nearest to 13 in -10/37, 1/4, 381/2, 5? 5 What is the closest to 2 in -31.1, 0.2, 0.93, 2/15? 0.93 What is the closest to -0.27 in 12/7, 1/4, -5, 3, -19? 1/4 What is the nearest to 0 in -3/5, 3/1793, -2, -28, 3/8? 3/1793 What is the closest to 2/5 in 0.1, -107/199, 2, 13, 2/7? 2/7 What is the nearest to 2 in 10/39, 2, -1/4585, 58, 3? 2 What is the nearest to 2 in -2/207, 1, -3, -0.63, 3/7? 1 Which is the closest to -0.4? (a) 0.42 (b) 25/4 (c) -2/5
{ "pile_set_name": "DM Mathematics" }
g - 5 + g**3 + 3 + 1 + 6*g**4 to v*g**4 + n*g**3 + f + u*g + m*g**2 and give n. 1 Express 57 + o - 57 as b*o + s and give b. 1 Rearrange -3*l - 13 + 13 + 32*l to the form x*l + n and give x. 29 Express 0*n**2 + 526*n - 4*n**2 + n**2 - 548*n in the form z + s*n + g*n**2 and give s. -22 Rearrange (-2*x**3 - 2*x**3 + 2*x**3)*(0*x - 3*x + 4*x) - x**4 - 3*x**4 + 9*x**4 to m*x**3 + q*x + j + y*x**4 + a*x**2 and give y. 3 Rearrange (2*y + 1 - 1)*(39*y**2 - 9*y**2 - 23*y**2) to g*y + m*y**3 + i + k*y**2 and give m. 14 Rearrange (-2*x + 2*x - x)*(1 + 2 - 1) - x - 19*x - 12*x to the form z + f*x and give f. -34 Express (20*b - 7*b + 19*b)*(-3*b + 4*b + b) as d + u*b + a*b**2 and give a. 64 Rearrange (-3 + 1 + 4)*(-1 + 4 - 4)*(-3 + 2 - 3)*(2*u - 5*u + 4*u) to f*u + k and give f. 8 Express (-2*r - 2*r + 2*r)*(3*r**2 - 3*r**2 + 2*r**2 + (r + 2*r - r)*(7*r + 15*r - 4*r)) in the form w + b*r**3 + m*r**2 + u*r and give b. -76 Rearrange (-2*x**2 + x**2 + 0*x**2)*((3*x - 2*x + x)*(-1 + 3 - 4) - 5*x + 0*x - 4*x) to the form t + j*x**3 + d*x + n*x**2 and give j. 13 Express -11*i + 40*i + 5*i - 2*i as r*i + p and give r. 32 Rearrange 5 - 2 + 3*v**2 + 3 - 7*v**2 + v to the form r + k*v + c*v**2 and give k. 1 Express 4*k - 6*k + 18*k + 0*k - 4*k + 2*k + (-2 + 2 - 1)*(-4*k + k + 2*k) - 3*k + 4 - 4 + 2*k - 3*k + 3*k as l*k + z and give l. 14 Express -2*s + 3 + 4 - 8 - 2*s**3 - 2*s**4 as n*s + x*s**2 + v + f*s**4 + h*s**3 and give f. -2 Express 3*h + 10*h**2 + 2*h**4 - 6*h**2 - 2*h as g*h**2 + u + q*h**4 + k*h**3 + s*h and give q. 2 Express (12*y**3 + 5 - 5)*(-2*y - y + 4*y) + 1 - 1 + y**4 as s + l*y**4 + d*y + n*y**2 + v*y**3 and give l. 13 Express 32*i**3 - 3*i**2 + 8*i**3 - 16*i**3 in the form p + r*i**3 + j*i**2 + u*i and give j. -3 Express 9 + 9*d**2 - 9 + (-3 + 3*d + 3)*(-d + 2*d + d) as x*d**2 + w*d + o and give x. 15 Express -136 + 271 - 129 + c as o + m*c and give o. 6 Rearrange 9*c**2 + 3*c**2 - 2*c**3 - 5*c**2 - 2 + 4 to the form r*c**3 + l*c**2 + t*c + u and give u. 2 Rearrange (2 - 1 + 2*i + 2)*(-4*i + 3*i + 3*i) to h + r*i**2 + l*i and give l. 6 Express 0*p - p + p + 6*p**2 as s + k*p**2 + z*p and give k. 6 Rearrange 1 + 1 + 2*z - 561*z**3 + 564*z**3 - z to t + q*z + d*z**3 + w*z**2 and give d. 3 Rearrange -4*o - 23*o**2 + 4*o + 19 + 24*o**2 to the form m*o + q + h*o**2 and give h. 1 Express -2*a + a + 0*a + (0*a - a + 3*a)*(227 - 6 + 74) as h + d*a and give d. 589 Rearrange -2*m + 7*m + 0*m + (-2 - 6 + 4)*(0*m + 0*m - 2*m) - 2*m + m - 2 + 3*m to o*m + h and give h. -2 Rearrange -5*y**4 - 3*y**4 + 5*y**4 + (-3 + 1 + 0)*(-2*y + y + 3*y)*(3*y**3 - 5*y**3 - 4*y**3) to a*y**2 + i + v*y + l*y**3 + b*y**4 and give b. 21 Express (-1 + 1 - t)*(2 - 3 + 0) + 4*t - t - 2*t + 0*t - t + 3*t + (0 - t + 0)*(4 + 0 - 2) + 10*t - 13*t + 19*t in the form h*t + x and give h. 18 Rearrange (-2 + 0 - 2)*(0*f + 4*f - 2*f) + (1 + 2*f - 1)*(-5 - 3 + 1) to d + m*f and give m. -22 Express 3*q - 4 + 6*q**2 - 5*q**3 + 1 + 2*q**4 - 9*q**3 + 12*q**3 in the form g*q + s*q**2 + i*q**4 + o*q**3 + p and give i. 2 Express 536 - 536 - 186*p**2 in the form t*p + v*p**2 + r and give v. -186 Express 0*l**2 + 77 - 32 - l**2 in the form d*l + b + j*l**2 and give d. 0 Rearrange -10*j**3 - 10*j**3 - 6*j**3 - 52*j + 24*j**3 to i*j**3 + t*j + s + l*j**2 and give i. -2 Express 2*a**2 - 4*a**2 + 0*a - 2*a + 4*a - a**4 in the form w + p*a**2 + u*a + h*a**3 + c*a**4 and give u. 2 Rearrange (2*m + 0 + 0)*(m**2 - 4*m**2 - 12*m**2) to v*m**2 + i*m**3 + b + h*m and give i. -30 Rearrange 10*f**3 - 2*f**3 - 7*f**3 - 6*f to o*f**3 + d*f**2 + y + b*f and give b. -6 Express 78 - 78 + 2*f**3 - 3*f - f**2 in the form r*f + j + w*f**2 + c*f**3 and give r. -3 Rearrange 2*w**3 - 2*w + 4*w - w**2 + 3*w + 3 to the form o*w**3 + s + u*w**2 + q*w and give q. 5 Rearrange -4 - m**2 - 12*m + 11*m - 2*m to the form u + o*m**2 + z*m and give z. -3 Rearrange 1945 - 1945 - 3*n - 4*n**3 to the form j*n + m*n**3 + x + r*n**2 and give j. -3 Rearrange 115 + 119*k - 57 - 58 to the form x*k + h and give x. 119 Express (-j + 0 + 0)*(0*j - 3*j + 2*j) + 19*j**2 + 3*j - 3*j - 1 + 1 - 2*j**2 + j - j + j**2 as b + a*j + l*j**2 and give b. 0 Express 6 + 2*q**2 - q**4 + 20 - 21 as n*q + i + b*q**4 + x*q**2 + j*q**3 and give b. -1 Express -4*w + 9*w - 6*w - 5*w - 1 in the form n*w + z and give z. -1 Express (-5*m + 15*m + 10*m)*(-m**2 + 14*m - 14*m) in the form c*m**2 + h*m**3 + q*m + l and give h. -20 Express (-5*o - o - o)*(-6*o**2 - 6*o**2 + 3*o**2) as y + n*o**2 + u*o + x*o**3 and give x. 63 Express -7*r**3 - 12*r**3 + 33*r**3 + (2*r + 0*r - 4*r)*(2*r**2 + 4*r**2 - 3*r**2) as n*r + l + k*r**3 + z*r**2 and give k. 8 Rearrange 3*g**2 - 13*g**2 - 11*g**2 + 4*g**2 to t*g + s + v*g**2 and give v. -17 Rearrange 3 - 4 - 19*m + 1 to the form b + o*m and give o. -19 Rearrange (-1 - 17*m**2 + 0 + 28*m**2)*(5*m - 12*m + 1 + 4*m) to the form t + w*m**2 + s*m**3 + a*m and give w. 11 Express -14 + 13 + 3 + 59*j in the form i + z*j and give z. 59 Express -2*i**3 + 10*i**3 + 0*i**3 + (i**2 - i**2 + 2*i**2)*(i - i - i) as p + f*i + o*i**2 + u*i**3 and give u. 6 Express -94*x - 3*x**2 + 94*x - 5*x**3 in the form o*x**3 + g*x**2 + v + z*x and give g. -3 Express -23 - 141*q**2 + 42*q**2 + 23 in the form n*q + i + b*q**2 and give b. -99 Express -w + w - 2*w**3 + w**4 + 110 - 3*w**2 - 112 as u*w**2 + q + s*w**4 + k*w + h*w**3 and give s. 1 Rearrange -4*b**2 + 45*b**2 - b + 0*b + 3*b**2 + 2*b**3 to the form o*b**3 + z*b + t*b**2 + a and give t. 44 Rearrange (-31*v + 4*v + 0*v)*(2*v**2 - 4*v + 4*v) + v**3 - v + v to a*v + j*v**2 + c + y*v**3 and give y. -53 Express 0*j**4 + 0*j**4 - j**2 - 2*j**3 + 2 + 2*j**4 in the form u*j**4 + f*j**2 + y*j**3 + x*j + i and give y. -2 Express (g**3 + g**2 - g**2)*(-9*g + 23*g - 31*g) + (-1 + 1 + 1 + 2*g**2)*(-2*g**2 + 2*g**2 + g**2) in the form m*g**2 + k*g + i*g**3 + l + r*g**4 and give r. -15 Express -2 + 2 + 2*g**3 + 1 as q + b*g**2 + o*g + w*g**3 and give q. 1 Rearrange 2*z**2 - 40*z + 42*z + 0*z**2 + 8*z**4 + 2*z**3 to the form u*z**3 + k*z**2 + r + i*z**4 + h*z and give h. 2 Rearrange 0*d + 3*d**2 + 0*d to h*d + i + k*d**2 and give k. 3 Rearrange (-2 - 1 + 4)*(-6 - 3*r + 6) + 3*r - r - 3*r to the form h + o*r and give o. -4 Rearrange -2*q**2 + 3*q**4 - 4*q**4 - 2*q**4 + 4*q**3 + 5*q**3 to the form n + i*q**2 + f*q**3 + b*q + z*q**4 and give z. -3 Rearrange 5*b**4 + 4*b**4 - 4*b**4 + (-54 + 12 + 3)*(-3*b**4 + 6*b**4 - b**4) to p + v*b**3 + r*b + f*b**4 + z*b**2 and give r. 0 Rearrange 6*g - 9 - 11 + 23 to the form u + w*g and give u. 3 Express (-4*q + 4*q - 3*q - q - 1 + 1 + (-5 + 0 + 3)*(2 - 2 + q))*(0*q - q + 2*q) in the form w + n*q**2 + i*q and give n. -6 Express (-4 + 4 + 3*d**2 - 4*d)*(4*d + d - 2*d**2 - 3*d) as b*d + k*d**3 + q*d**2 + w*d**4 + f and give f. 0 Rearrange (-4 - 2*b + 4 + 3*b + 3 - 3 + (b - 2*b + 0*b)*(3 + 1 - 2) + 3*b - 2*b - 3*b)*(b - 2*b + 2*b) to the form a + f*b**2 + t*b and give f. -3 Express 12 - j - 12 + 21*j as y + p*j and give p. 20 Express (-5 + 5 - 5*p)*(1 - 57*p + 55*p - 3) as k*p + l*p**2 + s and give l. 10 Rearrange (-5*l + 0 - 9 + 7)*(-4*l + 4*l + 2*l**2) to i*l**2 + f*l + x*l**3 + c and give c. 0 Express -2*a**2 + 9798*a - 9798*a + 4 as p + z*a + f*a**2 and give f. -2 Rearrange (0*q - 2*q + q)*(30 - 19 - 26) to s + m*q and give m. 15 Rearrange -3*d**2 + 15*d**2 + 0*d**2 + (-3 - 1 + 2)*(-d**2 + 2*d**2 + d**2) - 3*d**2 + 3*d**2 + d**2 to j*d**2 + y*d + g and give j. 9 Rearrange (g + 0*g + g)*(0*g - 4*g + 3*g) - 207*g**2 + 98*g**2 + 98*g**2 + (3*g + 0*g - 4*g)*(3*g + 0*g - g) to the form k*g + i + u*g**2 and give u. -15 Rearrange 3*w - 2*w + 5*w + 2*w**2 - 3*w to the form u*w + f*w**2 + r and give f. 2 Rearrange 0 + 2 - 5 - 1 + 4*k to t + v*k and give v. 4 Rearrange -11*q - 14*q + 10*q to the form b + y*q and give y. -15 Express -4 + 5*h + 6 + 12*h - 7*h in the form g + l*h and give l. 10 Rearrange -y**3 + 13*y**2 + 7*y - 12*y**2 + 0*y**3 to the form n*y + r*y**2 + q + m*y**3 and give r. 1 Rearrange -79*a + 4*a**3 - a**3 + 78*a + 9 - a**2 + 0 to the form s*a**3 + h*a + i*a**2 + q and give q. 9 Rearrange (3 - 6 - 1 + (0 + 3 - 2)*(1 + 1 - 4) - 1 + 0 - 1)*(-8*a - 1 + 1) to k*a + v and give k. 64 Rearrange -q**3 + 4*q**2 - 859 + 859 + 4*q - 3*q**2 to d + y*q + m*q**2 + j*q**3 and give m. 1
{ "pile_set_name": "DM Mathematics" }
product of 35519 and 1.2222? 43411.3218 Multiply 0.4 and 229202669. 91681067.6 0.3160676 * -0.9 -0.28446084 What is the product of -0.3 and -6152.577? 1845.7731 Product of 0 and -6977159. 0 What is 5.0922 times -14529? -73984.5738 2808.87 * 166 466272.42 Multiply -801 and 6727. -5388327 3132 * -0.08 -250.56 Calculate -170*0.12065. -20.5105 Product of 0.9 and -0.36057. -0.324513 Calculate 60*-2877. -172620 Product of 4839.8349 and 0.5. 2419.91745 42380485 times 0.2 8476097 Work out 1486 * -761417. -1131465662 -991 times -4.841 4797.431 Calculate -1.515*43276. -65563.14 What is -2.83733 times -337? 956.18021 417179.87 * -4 -1668719.48 Calculate -5*-0.056292103. 0.281460515 What is the product of -17179190 and 7? -120254330 What is 122 times 2792222? 340651084 Work out 0.134596 * -80. -10.76768 -122.157*-4.8 586.3536 Multiply -8918.2748 and 0.3. -2675.48244 Work out 48305.9 * 3.2. 154578.88 -0.07 times 55420.253 -3879.41771 Product of 4142 and 8334. 34519428 What is 3.17799 times 54? 171.61146 What is -0.27869 times 0.9? -0.250821 What is the product of -327004 and -0.3? 98101.2 Calculate 0.02199*0.1946. 0.004279254 Calculate -0.5*-174381.5. 87190.75 Multiply -5.5 and 6185.146. -34018.303 Multiply 3 and 14964605. 44893815 Calculate 3.63*44934. 163110.42 Calculate -0.06*-64711395. 3882683.7 What is 0.27 times -5.26253? -1.4208831 Calculate 5510.9597*14. 77153.4358 Calculate -5511.17*-0.17. 936.8989 What is the product of -15.44896 and -20? 308.9792 Product of 139.09 and -0.01935. -2.6913915 -0.04 * -159514 6380.56 Work out 1735217 * -0.08. -138817.36 0.26*56050 14573 Work out -3 * 28214409. -84643227 964677 times -2 -1929354 Work out -732 * 288342. -211066344 2600063 times -7 -18200441 Multiply -0.2 and 0.929045. -0.185809 -0.028*-40603 1136.884 -1159*-122.8 142325.2 1304118*-0.59 -769429.62 Work out 44636.33 * 0.08. 3570.9064 -1.1*-66857.3 73543.03 What is -62147.7 times -18? 1118658.6 -0.4664*3117 -1453.7688 1304.355 times -1.8 -2347.839 Work out -10556 * -2962. 31266872 What is -87212 times 5185? -452194220 Multiply -10.646 and 42.1. -448.1966 What is the product of 3 and 367290.4? 1101871.2 0.3 times -4377302 -1313190.6 -0.4 * 4.69079 -1.876316 Work out 3 * 1830.3881. 5491.1643 Multiply 1635173 and 3. 4905519 -19261*-1.119 21553.059 Product of 0.21 and -793112. -166553.52 Product of -0.07 and 25706.42. -1799.4494 Calculate 485985669*4. 1943942676 What is the product of -0.406 and -52015? 21118.09 0.02*1536275 30725.5 Work out 35.50423 * -197. -6994.33331 Calculate 0.2*5.501552. 1.1003104 Calculate 138.27*0.11179. 15.4572033 Multiply 0.5 and 584.0138. 292.0069 -1 times -8982106 8982106 What is the product of 330 and 7534? 2486220 -2196.96*-357 784314.72 0.31 times 0.084991 0.02634721 0.43 * -5015358 -2156603.94 312869 times 21 6570249 What is the product of -13 and 1158641? -15062333 Work out 191792 * 0.56. 107403.52 What is 661.74 times -1714? -1134222.36 Work out 8040063 * -29. -233161827 Product of 2315476 and 0.5. 1157738 18 times -1155.288 -20795.184 What is -0.08 times 0.886465? -0.0709172 -0.21 * -604572 126960.12 14473.33*13 188153.29 -19.953 * -0.11504 2.29539312 Calculate 99682*-188. -18740216 What is 0.067561 times -35.5? -2.3984155 Product of 24 and -3136.778. -75282.672 What is 0.0263 times 593? 15.5959 0.0546938 times -23 -1.2579574 Product of 4 and -3.1866. -12.7464 Work out -5 * 844.647. -4223.235 Work out -0.144 * 424469. -61123.536 What is -8402068 times 5? -42010340 Product of 333524 and -2.5. -833810 8506921 * 7 59548447 What is the product of -323 and 694984? -224479832 Product of 164.1 and 170. 27897 Product of -0.185 and -1095090. 202591.65 Multiply 62 and -7.2908. -452.0296 Work out 2.528064 * 0.14. 0.35392896 What is 5.4603228 times -0.5? -2.7301614 Multiply 3711.3 and -0.459. -1703.4867 4 times 14499011 57996044 What is -54 times 22081? -1192374 What is the product of 2.7 and -142963? -386000.1 Product of 41257 and 1.73. 71374.61 -8869313 times 33 -292687329 What is -132 times 84662? -11175384 Calculate -0.078093628*3. -0.234280884 What is the product of 8 and 20095881? 160767048 0.01 times -35580.73 -355.8073 Calculate -0.11*-2596488. 285613.68 What is -1.53 times 220447.5? -337284.675 Product of -1 and 5656.8072. -5656.8072 What is the product of 0.026 and 155433? 4041.258 Work out -0.04 * -42.426263. 1.69705052 Product of 9.62804267 and -1. -9.62804267 Multiply -25 and 383.2841. -9582.1025 -873.4 times 4771 -4166991.4 What is -5609555 times -1? 5609555 What is -261 times -0.39365? 102.74265 Multiply 11.54099 and 107. 1234.88593 -2538 times 2705.3 -6866051.4 Work out 134 * -42540. -5700360 What is the product of 13.17 and 3120.71? 41099.7507 Multiply 7.09 and -51059. -362008.31 What is -194 times -40996? 7953224 Multiply -8.136 and 0.429. -3.490344 Multiply 37.4183 and 0.2. 7.48366 What is the product of 16 and 3022418? 48358688 What is 213 times 398500? 84880500 3672 times 0.5624 2065.1328 What is -0.524312 times 116? -60.820192 Product of 121.53058 and 19. 2309.08102 Work out 2 * 20862.348. 41724.696 Work out 1939 * 296. 573944 Multiply -7.5126 and -12.34. 92.705484 2.02 times 218.296 440.95792 134413*-0.935 -125676.155 Calculate -1.4*-1298510. 1817914 0.9 * 15.00187 13.501683 Calculate -1569000*1.8. -2824200 7.593 times 1.51 11.46543 What is the product of 94 and 23.64? 2222.16 6179221 * -4 -24716884 Multiply 54754339 and 0.08. 4380347.12 291.68*-88 -25667.84 What is 43573452 times -0.36? -15686442.72 What is 2.561 times 5070? 12984.27 Calculate 9*-47655.998. -428903.982 -0.37 * 6.05485 -2.2402945 What is 0.2 times -5382758? -1076551.6 36*184759 6651324 -1 times -821680 821680 What is 1044 times 27.76? 28981.44 27.43 * -255.2 -7000.136 13330 times -7747 -103267510 Multiply -0.521552 and 1.3. -0.6780176 -0.197776 * 0.0953 -0.0188480528 What is the product of 15133.1 and -2980? -45096638 Multiply 1193.062 and -0.0373. -44.5012126 What is the product of 0.291 and 246215? 71648.565 0.3*-2260471 -678141.3 Calculate -2864690*1.39. -3981919.1 Multiply -5112 and -1331. 6804072 -33165 * -8.7 288535.5 What is 1.818 times -12902? -23455.836 Multiply -4890 and 517. -2528130 Calculate -791*-9406.15. 7440264.65 Work out -1931.622 * 0.06. -115.89732 What is the product of -0.1456 and 50653? -7375.0768 Product of -5471 and 1. -5471 318.3651*1.9 604.89369 Product of -0.1523 and 23721. -3612.7083 Product of 4 and -2007993. -8031972 Product of -20336 and 309.7. -6298059.2 Product of -1882 and 89.85. -169097.7 Product of -0.0049 and 2723. -13.3427 4 times -117607.2 -470428.8 What is 8.79354 times 25? 219.8385 Product of 243156 and 0.8. 194524.8 Calculate -4*3824388. -15297552 Multiply -18336690 and -3. 55010070 5 times 896.41403 4482.07015 Work out 27602858 * -0.4. -11041143.2 17 * -530892 -9025164 What is the product of 12 and -557433.36? -6689200.32 Product of -813 and -913. 742269 Product of 84753 and 4382. 371387646 Product of 16914.3 and -0.87. -14715.441 Work out 0.23 * -187229.8. -43062.854 What is the product of -4.4 and -1713467? 7539254.8 -13 times 756043 -9828559 367277.21*-0.4 -146910.884 What is 46 times -2.245352? -103.286192 Work out 14.22 * 8692. 123600.24 Multiply 7.1 and -113785. -807873.5 2285343 * 0.3 685602.9 Multiply 0.0623322 and 385. 23.997897 Work out 338 * -215. -72670 What is the product of 0.3 and 5499.459? 1649.8377 Work out 3.6 * 282659. 1017572.4 What is the product of -0.1 and 9.9881? -0.99881 8.378*18.38 153.98764 Multiply -185418738 and -1. 185418738 Product of -0.3 and 804481. -241344.3 What is the product of -18.6 and -14.783? 274.9638 Product of -141037.769 and 2. -282075.538 What is 200532 times -0.16? -32085.12 Calculate -4302*10.575. -45493.65 Multiply 12688690 and 42. 532924980 Product of 1 and -9902342. -9902342 -6690 * 0.971 -6495.99 What is -8297.721 times 0.1? -829.7721 What is 2893 times 114.93? 332492.49 Multiply -802477 and 88. -70617976 Product of -2913 and 826.2. -2406720.6 What is the product of -37.741948 and 21? -792.580908 -715 * 0.4827 -345.1305 Work out -236810228 * 2. -473620456 Work out 0.513665 * 1132. 581.46878 Product of -0.1082312 and -0.41. 0.044374792 What is 56 times -5.5824? -312.6144 0.5*-843.9937 -421.99685 Multiply 31 and -17.1852. -532.7412 Calculate -1*-1030
{ "pile_set_name": "DM Mathematics" }
= 7*z - 102. Calculate the least common multiple of 716 and z. 2148 Let c(k) = -8*k**2 + 5*k + 5. Let m be c(10). Let d = 427 + m. Calculate the common denominator of 10/7 and 8/(-32) - d/40. 70 Let s be (3/(-6))/(2/(-12)). Suppose m + 4*i + 4 = 0, -2*m + s*i - 3 + 17 = 0. What is the lowest common multiple of m and 24? 24 Let u = -24993 - -9447323/378. What is the common denominator of u and -35/6? 378 Let p be (-8)/(-9)*(-8)/(-398). Let z = 175517/100296 + p. What is the common denominator of z and 77/20? 280 Let p(a) = a**2 + 41*a - 255. Calculate the lowest common multiple of 351 and p(-47). 351 Let s be (-5 - 48/(-9)) + 122/(-6). What is the lowest common multiple of 10 and ((144/s)/3)/(6/(-45))? 90 Let g be (0 + (-2)/(-6))*(-867)/119. Let o = 199/56 + g. What is the common denominator of o and 5/18? 72 Let d(i) = -22*i**2 + 5*i + 6. Let f be d(3). What is the common denominator of -23/6 and -1*(f/(-6) - 5)? 6 Let u(l) be the first derivative of -l**3/3 - 9*l**2/2 + 6*l - 17. What is the lowest common multiple of u(-9) and 21? 42 Let g be 3 + 0*4/(-8). Suppose -23 + 5 = -g*v. Let a = 2 + v. Calculate the lowest common multiple of 6 and a. 24 What is the common denominator of (18 - (-2236)/(-117))/((-4)/(-15)) and -97/126? 126 Let c be ((-4)/(-6))/((-4)/(-18)). Suppose 2*q - 4*n - 12 = 0, 0 = -5*q - c*n + 12 + 44. Calculate the smallest common multiple of q and 48. 240 Suppose 2*b = 20 - 158. Let y = -27 - b. Let j = -16 - -36. What is the smallest common multiple of j and y? 420 Let h = -5 + -14. Let k = 21 + h. Suppose 4*s - 90 = a, 5*a = 2 - 12. What is the least common multiple of k and s? 22 Suppose 0 = 21*p - 9*p - 216. Suppose 2*f - 38 = 5*c - 11, -5*c + 5 = 0. Calculate the least common multiple of f and p. 144 Let u = 1915/24 - 80. Find the common denominator of 75/14 and u. 168 Find the common denominator of 1*(-16)/6*(-41)/(-205) and 16/25. 75 Let o be (-44)/10 - 4/(-10). Let s(a) = -2*a - 4. What is the lowest common multiple of 34 and s(o)? 68 Suppose -w + 2*x - 13 = 5*x, 2*w + x = -1. Let q(m) = -115*m - 325. Calculate the least common multiple of q(-3) and w. 20 Suppose -8*b = -60 + 132. Calculate the smallest common multiple of 21 and (388/(-3))/(-4) + (-6)/b. 231 Let y(j) = -j + 11. Suppose 66 = -2*v - 4*v. Calculate the smallest common multiple of y(v) and 14. 154 Suppose 2*y = y - 296. Calculate the smallest common multiple of (-4)/10 + y/(-40) and 7. 7 Let v = -669 - -1373/2. Find the common denominator of 34/9 and v. 18 Let m = -5069/378 + 46/189. Suppose 49*y = 46*y - 129. Find the common denominator of y and m. 6 Suppose -3*a = p - 48, 0 = -56*p + 52*p + 5*a + 260. Calculate the lowest common multiple of p and 110. 660 Suppose 2*a = 1406 - 1338. Calculate the lowest common multiple of 34 and a. 34 What is the least common multiple of 3 and (315/65 - 5) + (-2192)/(-52)? 42 Suppose 4*t + 0*t = -4*u - 164, 5*u = -3*t - 195. Let g(a) = a - 13. Let v be g(11). Find the common denominator of 2/(u/(-273)) + v and 65/6. 6 Let d(u) = -u**2 + 7*u + 22. Let x(p) = -p**3 - 13*p**2 + 9. Let i be x(-13). Calculate the smallest common multiple of d(i) and 18. 36 Let f = -405232 + 130484587/322. Calculate the common denominator of f and 6. 322 Let q = 22399/2754 + -442/81. What is the common denominator of (0 - 1)/(-1) - (-126)/(-16) and q? 136 Calculate the common denominator of (-221)/(-104) + (1 - 0) and -7*(-12)/8*3. 8 Let p = -28 - -30. Suppose -p*m + 4*z = -20, -2*m + 4*z + 48 = 2*m. What is the smallest common multiple of 4 and m? 28 Let p = -241/10 - -2361/110. Calculate the common denominator of p and -41/18. 198 Find the common denominator of (-2086)/36*(-29)/203 and -1 + (-142)/(-44) - 1. 198 Calculate the common denominator of -71/88 and (10815/(-490))/(6/(-4)*28). 4312 What is the lowest common multiple of 21 and (-3)/(9/(18/(-4)) + -1)? 21 Let a be (-255)/35 + 7 - 681/(-7). Calculate the common denominator of 55/9 and (-1)/((-6)/a) + (-2 - -1). 18 Let f = -5278 - -42157/8. What is the common denominator of 97/(-8) - (-80)/160 and f? 8 Suppose -34 - 2 = 2*n - 2*a, -2*a = -3*n - 59. Calculate the common denominator of 8*n/(-18)*(-15)/8 and -71/3. 6 Let n = -17 + 11. Let p = n + 14. What is the least common multiple of 5/6 - (-2)/12 and p? 8 Suppose -b + 9 + 5 = 0. Let y be (-12)/(-18) - b/(-6). What is the common denominator of -43/4 and y - (-94)/(-10) - 0? 20 Let b = -59 + 42. Calculate the lowest common multiple of b + 17 - 27/(-1) and 27. 27 Suppose 4*u + n + 3*n + 104 = 0, -4*u = -2*n + 110. Let s = 2669/495 - -23/396. What is the common denominator of 3 + 0 + u/(-2) and s? 20 Suppose 14 + 6 = g. Suppose -g*w + 19*w = -7. Calculate the least common multiple of w and 7. 7 Let o = 2 - 0. Suppose 4*l + 30 = 5*c + o*l, c + 5*l = -21. Calculate the lowest common multiple of -5*((-48)/(-20))/(-4) and c. 12 Let g(q) = -q**3 + 5*q**2 - 6*q + 2. Suppose 4*d = 18 - 2. What is the least common multiple of g(3) and d? 4 Suppose -251*q + 262*q = 110. What is the least common multiple of q and 105? 210 Suppose -i - 1063 + 353 = 0. Let z be ((-20)/(-6))/(3/632). Let o = z + i. What is the common denominator of o and -41/9? 9 Suppose 2*u = -u - 60. Let a be (-156)/(-15)*(15/2)/3. Let o = u + a. What is the least common multiple of 1 and o? 6 Suppose 3*l - 8*l = -5. Suppose -s + 3 = l. Calculate the common denominator of 15/4 and s*(-412)/(-176) - 2. 44 Let r = -148943 + 586801/4. Let w = r + 152629/68. Calculate the common denominator of w and 65/4. 68 Let n = -1471/2 - -2158/3. Let b = 867/1027 + -12/79. Find the common denominator of n and b. 78 Let l = 20 - 15. Suppose 0 = 4*k + 4*u - 20, l*k - 3*u = 2*k + 39. Find the common denominator of -27/8 and (1/8)/(k/(-270)). 8 Calculate the common denominator of 71/176 and (-2483)/(-52) - (-7)/4. 176 Suppose p - 4*u + 1 = 0, 14 = 5*p - u - 0. Suppose -3*m + 2*s + 20 = 0, -2*s + 5*s - p = -m. Suppose -4 = -v + m. What is the least common multiple of 2 and v? 10 Suppose -2*m = -j - j - 10, -j = 5. Let a be m + -1 - (-3)/1. What is the common denominator of 0 + (-125)/18 + a and -13/4? 36 Let n = -19399 - -581909/30. Find the common denominator of n and 25/42. 210 Calculate the common denominator of 54/5 and (8/(-2) + 3)/(-2). 10 Suppose -4*v = 12, -5*v - 1495 = -4*k - 0*k. What is the common denominator of 2/8*(-364)/2 and 1/((-25)/k*2)? 10 Suppose 152 = 5*n - 223. Let h = 79 - n. Calculate the smallest common multiple of 11 and h. 44 Let f(j) = j**2 + 10*j - 2. Let p be f(-4). Let k = p + 29. Suppose 4*o - 18 = 14. Calculate the lowest common multiple of k and o. 24 Suppose 7*k + 12 = 9*k. Suppose -2*s - v = -k, 3*s + 3*v - 4 = 8. Calculate the smallest common multiple of 5 and s. 10 What is the common denominator of 35/374 and (-18)/2295*-5*45/(-16)? 1496 Let f(t) = t + 13. Let m be f(-9). Let v be 1202/m*24/390. Let g = 87/13 - v. What is the common denominator of g and 17? 5 Let r = 1903 - 9477/5. Calculate the common denominator of (124/8)/(3 + (-7)/1) and r. 40 Suppose 0 = -2*v - 1391 - 5759. Let g = v + 21497/6. Find the common denominator of g and 0 - 98/20 - -3. 30 Suppose 2120 + 872 = 34*q. Calculate the least common multiple of q and 88. 88 Let j = 550153261/974 - 564839. Calculate the common denominator of j and -51/5. 4870 Suppose -4*t + 23 = 5*r - 41, 0 = -5*r - 20. What is the common denominator of 61/27 and 1/(-3) + 27/t? 189 Let s = 96200 + -15199529/158. Calculate the common denominator of -19 and s. 158 Let q(r) = -r**3 - 7*r**2 - 7*r + 9. Calculate the least common multiple of 9 and q(-6). 45 Let d = -172133/15 - -11470. Let n = -2859/5 - -567. Find the common denominator of d and n. 15 Let b(g) = -g**3 + g**2 + g + 108. Let n be 0/((-2)/(-2)*-1). Let i be b(n). What is the common denominator of -49/10 and 3/1 - (-30)/i? 90 Let o = 838769/120 - 13979/2. Calculate the common denominator of -49/120 and o. 120 Let q(x) = -6*x + 40. Let f be q(6). Suppose 11*y = 26 - f. Suppose 20 = 2*k - 0*k. Calculate the lowest common multiple of k and y. 10 Calculate the common denominator of (209/5)/11 + 6/4 and -59/62. 310 Let n(m) be the second derivative of 5*m**4/12 - m**3/3 + m**2/2 - 20*m. What is the lowest common multiple of 42 and n(1)? 84 Suppose -2*q = 5*a - 5 - 17, 2
{ "pile_set_name": "DM Mathematics" }
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-86337 What comes next: 33133, 132952, 299449, 532624, 832477? 1199008 What is the next term in 29911, 59661, 89411, 119161, 148911, 178661? 208411 What comes next: 930153, 1860305, 2790445, 3720567, 4650665, 5580733, 6510765? 7440755 What comes next: 766821, 1533692, 2300565, 3067440, 3834317, 4601196? 5368077 What is next in -3811, -3864, -3997, -4246, -4647? -5236 What comes next: 49147, 98389, 147631, 196873, 246115? 295357 What is the next term in 49839, 99206, 148573, 197940, 247307? 296674 What is next in 2448, 2221, 1396, -327, -3248? -7667 What is next in 1827177, 1827174, 1827173, 1827174, 1827177, 1827182? 1827189 What is next in -2182, -2739, -3536, -4573, -5850, -7367? -9124 What is next in -3688702, -3688683, -3688666, -3688651, -3688638? -3688627 What comes next: 69936, 140256, 210576, 280896? 351216 What is the next term in 2154, 2139, 2100, 2037, 1950? 1839 What comes next: 6574, 12000, 17422, 22840, 28254? 33664 What is the next term in -7826, -26771, -58346, -102551, -159386, -228851, -310946? 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{ "pile_set_name": "DM Mathematics" }
? False Is 393133 prime? False Is 2078795 a prime number? False Is 103053 prime? False Is 76173 composite? True Is 4381 composite? True Is 8513 a composite number? False Is 18647 a composite number? True Is 3109 a composite number? False Is 42493 a composite number? True Is 361703 a composite number? True Is 28901 a prime number? True Is 1250771 composite? False Is 70043 a prime number? False Is 713389 composite? False Is 476953 composite? True Is 533989 a prime number? True Is 244999 a prime number? False Is 12137 composite? True Is 14269 prime? False Is 25015 a prime number? False Is 5624755 a prime number? False Is 6323 prime? True Is 8923 prime? True Is 21635 composite? True Is 971077 a composite number? False Is 1471 a prime number? True Is 498049 a composite number? True Is 14941 prime? False Is 57487 composite? False Is 71453 prime? True Is 3343151 a composite number? True Is 332615 a prime number? False Is 1558061 a composite number? False Is 4373 a prime number? 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True Is 27427 a composite number? False Is 468817 a prime number? True Is 342579 a composite number? True Is 62635 prime? False Is 287719 composite? True Is 79063 composite? False Is 365567 composite? False Is 112741 prime? True Is 440434 composite? True Is 246971 a prime number? True Is 3251 a composite number? False Is 29339 a composite number? False Is 133141 prime? False Is 564089 composite? False Is 3709 a composite number? False Is 158161 a prime number? True Is 221437 prime? False Is 9784353 a composite number? True Is 332317 a composite number? False Is 154321 a composite number? False Is 46159 composite? True Is 267017 a prime number? True Is 2960245 composite? True Is 393 composite? True Is 196247 composite? False Is 1010387 prime? False Is 37463 composite? False Is 321221 prime? True Is 19202 prime? False Is 565783 composite? True Is 36609 prime? False Is 73221 composite? True Is 285431 a composite number? True Is 1056903 composite? True Is 226713 a composite number? True Is 115999 composite? True Is 331859 composite? True Is 3986 prime? False Is 12149 composite? False Is 5789 composite? True Is 81033 a composite number? True Is 121843 a prime number? True Is 78503 prime? False Is 90929 prime? False Is 10135 a composite number? True Is 32491 a composite number? False Is 766 a prime number? False Is 91111 a prime number? False Is 403609 prime? False Is 110419 composite? False Is 8407 a prime number? False Is 29105 a composite number? True Is 50927 prime? False Is 6541 a prime number? False Is 358637 a prime number? True Is 38149 a composite number? False Is 3709 composite? False Is 23557 a prime number? True Is 2477471 a composite number? False Is 6893 a prime number? False Is 6457 a composite number? True Is 7555 a prime number? False Is 13421 a composite number? False Is 9121 prime? False Is 25819 a composite number? False Is 93593 a prime number? False Is 9511 a prime number? True Is 52759 a prime number? False Is 223823 prime? True Is 233113 a composite number? False Is 433889 a prime number? True Is 15413 composite? False Is 36823 a prime number? False Is 34053 a prime number? False Is 5077 prime? True Is 83081 composite? True Is 3607 a composite number? False Is 79967 prime? True Is 10663 a prime number? True Is 499493 a composite number? False Is 165133 a prime number? True Is 42169 a composite number? False Is 1023877 composite? True Is 14107 composite? False Is 1909307 prime? True Is 4111 composite? False Is 6289 a prime number? False Is 3403 a prime number? False Is 1157747 composite? False Is 360089 a prime number? True Is 211997 composite? False Is 16538 prime? False Is 2789 prime? True Is 1409 a prime number? True Is 2161 a composite number? False Is 246329 a prime number? True Is 12381 prime? False Is 48073 a prime number? True Is 15278 a prime number? False Is 5897 a prime number? True Is 301013 composite? False Is 161153 composite? True Is 239779 composite? False Is 448369 a composite number? True Is 356441 a composite number? False Is 6609 composite? True Is 623 a prime number? False Is 2845 a composite number? True Is 1055 composite? True Is 6613 a prime number? False Is 23897 a prime number? False Is 84377 composite? False Is 11359 prime? False Is 374189 a composite number? False Is 4741 prime? False Is 10871 a composite number? True Is 696719 a prime number? True Is 2705 a composite number? True Is 118891 composite? False Is 156031 prime? False Is 114299 composite? False Is 12039 a prime number? False Is 2683855 composite? True Is 2131223 a composite number? False Is 64406 a composite number? True Is 226363 a composite number? True Is 164279 prime? True Is 1483987 a prime number? True Is 134429 composite? True Is 11981 prime? True Is 1343 composite? True Is 4259 composite? False Is 358531 a prime number? True Is 88411 composite? False Is 30883 a composite number? True Is 672703 composite? False Is 288179 a composite number? False Is 19811 prime? False Is 48301 prime? False Is 15293 prime? False Is 6197 prime? True Is 86321 prime? False Is 242863 a composite number? False Is 1323797 a composite number? False Is 10225751 a prime number? True Is 66211 a prime number? False Is 1143529 composite? False Is 4330717 a prime nu
{ "pile_set_name": "DM Mathematics" }
Suppose -3*c - 6 + 21 = k, 3*k + 10 = 2*c. Suppose -4 = -4*s - m + 1, 2*s - 5*m - 19 = k. What is the units digit of s? 2 Let n(s) = s**3 + 7*s**2 - s - 7. Let u be n(-7). Let z(d) = -d - 1. Let q be z(-6). Suppose -45 = -u*m - q*m. What is the units digit of m? 9 Let d(y) = 2*y + 17 - 3*y + 2*y - 6. Let v be d(-9). What is the tens digit of (-4 - -15)/(-1 + v)? 1 Suppose -6*b + 919 = -53. What is the tens digit of b? 6 Suppose -18 = n + 41. Let c = n - -82. Suppose -j - 3*j - c = -i, 25 = 3*i - j. What is the units digit of i? 7 Let g be 2 - -3*2/(-3). What is the units digit of -1 + 10 + g + -3? 6 Let j = 6 + -3. Let i = 16 + j. What is the units digit of i? 9 Suppose -4*x = 3*l - 313, -112 = -3*x - 2*l + 123. What is the tens digit of x? 7 What is the units digit of -8 - -11 - (-3 - 0)? 6 Suppose -u = -5*z + 130, -4*z + 127 = 2*u + 9. Let v be (4/(-6))/((-3)/z). What is the units digit of (9/v)/((-3)/(-4))? 2 Let b be (-6)/((1/(-4))/(-1)). Let w = b + 41. Suppose -4*o + o = -f - w, 2*o - 2*f = 10. What is the units digit of o? 6 Suppose 0 = -t - 3*h, -2*h - 9 = 4*t + 1. Let n be (0 - t) + 0/(-5). Suppose 0 = -n*p + 4*a + 18 + 1, -5*a = p. What is the units digit of p? 5 Suppose 9*o - 15 = 4*o. Suppose 0 = 2*y - o - 13. What is the units digit of y? 8 Let h(b) = 2*b - 6. Let t be h(4). Let g be 2/(t/6*2). What is the units digit of 20/2 + (g - 5)? 8 Let d = -16 + 58. What is the tens digit of d? 4 What is the tens digit of (102/9)/((-2)/(-3))? 1 Suppose 0 = -3*i + 2*z - 19, 2*i + 0 = -2*z - 6. What is the units digit of (4 + -1)/((-5)/i)? 3 Suppose -5*h = -4*z - 26, 2*h + 2*z + 2*z = -12. Suppose -7*n + 2*n = 3*l - 10, 0 = h*n + 4*l + 10. Let s = 2 + n. What is the units digit of s? 7 Suppose -v + 0*v + 5 = 0. What is the units digit of v? 5 Suppose s + 0 = 39. What is the tens digit of s? 3 Let s = 13 + -9. What is the units digit of s? 4 Let o(q) = q + 2. Let m(p) = -1. Let s(i) = 2*m(i) - o(i). Let r be (2/6)/((-2)/30). What is the units digit of s(r)? 1 Let i = 3 + 54. What is the tens digit of i? 5 Let p(y) = y + 47. What is the units digit of p(0)? 7 Let m = -15 - -44. What is the tens digit of m? 2 What is the units digit of (-54)/(-13) - 2/13? 4 Suppose -2*x = 3*l - 286, -180 = -3*l + x + 118. What is the units digit of l? 8 Suppose -3*t = h - 210, 5*t - 6*h - 367 = -2*h. What is the tens digit of t? 7 Suppose 2*k - 11 = 1. Suppose s - 21 = k. What is the tens digit of s? 2 Let c(k) = 2*k**3 - 3*k**2 + 3*k. What is the units digit of c(2)? 0 Let z(u) = u**2 + 8*u + 7. Suppose s + 7 + 1 = 0. What is the units digit of z(s)? 7 Let x(n) be the second derivative of 31*n**3/6 - n. What is the tens digit of x(1)? 3 Let n = 165 + -114. What is the units digit of n? 1 Suppose 0 = b - 2 + 5. What is the tens digit of (b/(-2))/(6/52)? 1 What is the tens digit of (-1)/(3 - 0) - 428/(-6)? 7 Let j = -8 - -2. What is the tens digit of j/3 + 0 + 44? 4 Suppose 2*r + 3*z = 223, 6*r - 2*r - 5*z - 457 = 0. What is the tens digit of r? 1 Suppose 2*f - 3*i = -18, -9 = -f - 0*f - 3*i. Let w be 2 - (2 + 1 + f). Suppose -w = l - 4. What is the units digit of l? 2 Let a(j) = 46*j**2 - 10*j + 7. What is the hundreds digit of a(2)? 1 Suppose -2*r + 2 = -4*a + 50, -2*r - 35 = -3*a. What is the units digit of a? 3 Suppose 4*d = -5*x + 8, 5*d = -x + 7 + 3. Suppose x = -h + 2 + 3. Suppose 5*i - h*f = 30, 3*i - 29 = -f - 3. What is the units digit of i? 8 Suppose -2*i + 2 = -s, 3*i - 2 + 5 = 3*s. Suppose 4 = s*c + 12. What is the units digit of (-15)/(-3)*c/(-2)? 5 Let a = -208 - -294. What is the tens digit of a? 8 Suppose -2*p + 7 - 3 = 0. What is the units digit of 5 + 3 - p/1? 6 What is the units digit of (3 + -4)*(-21 + 1)? 0 Let z(u) = -11*u**3 - u**2 - u - 1. What is the units digit of z(-1)? 0 What is the units digit of 5 + -8 + (5 - -1)? 3 Let b(n) be the third derivative of n**5/60 + n**4/24 - 2*n**3/3 - 6*n**2. What is the units digit of b(3)? 8 Let x = 11 - 6. Suppose x*o = 2*o - 3, -4*t + 3 = o. What is the units digit of (t - (-6)/(-4))*-14? 7 Let t be (7 - -2) + -1 + 0. Let b(c) = c**3 - 2*c**2 - 2*c - 2. Let r be b(3). What is the units digit of 30/t - r/(-4)? 4 Let p(a) = -2*a - 4. Let i be p(-4). Suppose 0 = 4*d + d - 4*y - 65, -41 = -i*d + y. What is the units digit of d? 9 Let l(g) = 7*g - 2. Let h(p) be the second derivative of p**4/12 - 3*p**3/2 - 4*p**2 + 2*p. Let t be h(10). What is the units digit of l(t)? 2 Let h(o) = o - 1. Let u be h(1). Suppose u = 2*j + j - 6. What is the units digit of ((-20)/8)/((-1)/j)? 5 Suppose 0*g = -g + 5. Suppose 66 = g*x + c, 0 = -4*x - c + 25 + 27. What is the units digit of x? 4 Let i = 4 + 101. Let n = -74 + i. What is the units digit of n? 1 Let d(v) = v**3 + 15*v**2 - 23*v - 10. What is the tens digit of d(-16)? 0 Let d = 1 - 2. Let o be d + 3 + 4 + -2. What is the units digit of o/(-18) + 101/9? 1 Suppose -4*r + 247 = 5*m, -m - 3*r + 26 = -19. What is the units digit of m? 1 Let l = -63 + 97. What is the tens digit of l? 3 Suppose -2 = 8*l - 10*l. What is the tens digit of -3 + (l - -2) - -16? 1 Let g(v) = -2*v - 3. Let m(k) = -k - 1. Let y(x) = -2*g(x) + 7*m(x). Let t be y(-2). Suppose t*s = -5*i, 0 = -3*s + 3*i + 6. What is the units digit of s? 1 Suppose -3 = -2*q + 3. Let x be 0 + (3 - q)/3. Suppose 4*m - 75 - 5 = x. What is the tens digit of m? 2 Let i(d) = 2*d - 4. Let g(l) = -1. Let n(q) = 6*g(q) - i(q). Let p be n(-4). Suppose 3*x = -0*x + p. What is the units digit of x? 2 Let s be 6/(-27)*3*-30. Suppose 4*b - s = -0*b. Let o = b + -3. What is the units digit of o? 2 Let c(h) = 3*h - 5. Let a be c(-5). Let d = a - -30. What is the units digit of d? 0 Let s(m) = -4*m + 2. What is the units digit of s(-5)? 2 Let a be (76/(-16))/(1/(-4)). Suppose -4*n + 2*l = -30, 2*n - 5*l - a = 16. Suppose n*p + 3 = 33. What is the units digit of p? 6 Let o = 27 - 21. What is the units digit of o? 6 Let o(j) = -56*j - 2. Let f be o(-1). Suppose -12 = -3*r + f. What is the tens digit of r? 2 Suppose -48 = -3*r + 5*d, -2*r + 16 = -r - 5*d. Suppose 5*t + 29 = n + 5, -n - 5*t = r. Suppose -2*z = 6, n*f = 3*z + z + 56. What is the units digit of f? 1 Suppose 0 = 4*r - 4*n - 148, -5*n = 2*r + 2*r - 157. What is the units digit of r? 8 Let k = 106 + -71. What is the tens digit of k? 3 Let f be 24/16*(-20)/(-6). Suppose -y = b - 52, 3*b + f*y + 0*y - 164 = 0. Suppose 0*m = -4*m + b. What is the tens digit of m? 1 Suppose 5*j = 2*d - 64, 6*d - d = 2*j + 13. Let o = -8 - j. Suppose -z - 2 = -o. What is the units digit of z? 4 What is the tens digit of -2 - (2040/4)/(-3)? 6 Suppose -5*z - 5*x = -245, z - 4*x = -26 + 75. What is the units digit of z? 9 Suppose 0*s + 4*s - 5 = -3*b, -2*b - 2 = 4*s. What is the units digit of b*((-92)/(-28) - -1)? 0 Let x(f) = f + 10. Let g be x(-7). Suppose -6 = g*a, 29 = 4*o - 5*a - 21. Let z = -6 + o. What is the units digit of z? 4 What is the tens digit of 5/(15/57)*1? 1 What is the units digit of 1 + ((-4)/2 - -30)? 9 Let g be -16 - (-2)/(0 - -1). What is the units digit of (g/5)/((-14)/35)? 7 Let c = -1 - 1. Let z(w) = 4*w - 1. Let p be z(1). What is the units digit of (2 - p)/(c/6)? 3 Let s be (-2 - -3)*(-4 - -4). Suppose s = 2*p - 3*p + 31. What is the tens digit of p? 3 Suppose -4*v - 4 = -0*v. Suppose 0 = 2*i - 31 + 73. What is the units digit of 1/(v - 22/i)? 1 Suppose -6*g = -t - 3*g + 167, -t - 4*g + 139 = 0. What is the units digit of t? 5 Let i(x) = 2*x**2 - 2*x - 4. Let r be i(-3). Let t = r - 2. What is the units digit of 1*10*t/15? 2 Let l(u) = -u + 2. Let j be l(0). Suppose 61 + 19 = j*q. What is the units digit of q? 0 Suppose 3*o = -4*u - o + 48, 0 = 5*o - 25. Let l(j) = 2*j + 6*j - 3 + j - j**2. What is the units digit of l(u)? 1 Let h = 11 - 6. Let s(p) = 3*p**2 - 3*p + 2 - 2*p - 2*p**2. What is the units digit of s(h)? 2 Let v = -3 + 7. Suppose -51 + 11 = -v*n. What is the units digit of n? 0 Let r = -5 + 7. Let p(q) = -3 - q - r*q + 3. What is the units digit of p(-1)? 3 Let a(j) = 3*j**3 - 6*j**3 + 5*j**2 + 4*j**3 + 0*j - 2 - 3*j. What is the units digit of a(-4)? 6 Let r = -22 - -31. What is the tens digit of -6*(-12)/r - -3? 1 Suppose -4*a = -313 + 53. What is the units digit of a? 5 Let z be 117/12 + 2/8. Let s = -9 + z. What is the units digit of s? 1 Let y
{ "pile_set_name": "DM Mathematics" }
ms are there in 0.7798139 grams? 779813.9 How many millilitres are there in 68.68227 litres? 68682.27 Convert 0.8156585 micrometers to centimeters. 0.00008156585 How many minutes are there in twenty-one halves of a day? 15120 What is 5/8 of a millimeter in micrometers? 625 What is 90.15592l in millilitres? 90155.92 Convert 343.435 years to decades. 34.3435 How many seconds are there in six fifths of a hour? 4320 How many kilograms are there in 0.7012477g? 0.0007012477 How many years are there in 4838.949 decades? 48389.49 Convert 355.597 micrograms to tonnes. 0.000000000355597 What is 733.6782ns in hours? 0.0000000002037995 What is 3999.907g in micrograms? 3999907000 How many centimeters are there in 11/2 of a meter? 550 What is 53/4 of a hour in seconds? 47700 How many months are there in twenty-three thirds of a century? 9200 What is three tenths of a litre in millilitres? 300 What is 2095.14l in millilitres? 2095140 What is 993041.3 weeks in seconds? 600591378240 How many years are there in one tenth of a decade? 1 What is 13/4 of a litre in millilitres? 3250 What is 0.3387867 litres in millilitres? 338.7867 How many meters are there in one fifth of a kilometer? 200 Convert 7.247069 years to millennia. 0.007247069 Convert 4.661694 micrograms to milligrams. 0.004661694 What is twenty-nine fifths of a milligram in micrograms? 5800 Convert 8.753608 centuries to millennia. 0.8753608 Convert 26596.314ms to minutes. 0.4432719 How many months are there in 1/4 of a century? 300 How many minutes are there in seventeen quarters of a day? 6120 How many micrograms are there in 6543.326 grams? 6543326000 How many months are there in 98.49083 centuries? 118188.996 How many months are there in 43/2 of a century? 25800 Convert 0.9291605 milligrams to kilograms. 0.0000009291605 How many decades are there in 21/5 of a millennium? 420 What is 272.9956 nanometers in centimeters? 0.00002729956 How many millilitres are there in 7373.95 litres? 7373950 How many seconds are there in 1/16 of a hour? 225 What is ninety-one halves of a litre in millilitres? 45500 How many micrograms are there in 1296.95ng? 1.29695 What is 255.2065 litres in millilitres? 255206.5 How many tonnes are there in 95.60639 milligrams? 0.00000009560639 Convert 16240.25 decades to centuries. 1624.025 How many kilograms are there in 737.1935mg? 0.0007371935 What is thirty-two fifths of a centimeter in micrometers? 64000 What is 13.97977 days in weeks? 1.99711 How many minutes are there in eleven halves of a hour? 330 How many milliseconds are there in twenty-seven quarters of a second? 6750 What is 8752.4316us in hours? 0.000002431231 How many meters are there in 0.828405nm? 0.000000000828405 Convert 0.8287087km to meters. 828.7087 How many millilitres are there in thirty-two fifths of a litre? 6400 How many milligrams are there in one sixteenth of a kilogram? 62500 How many millilitres are there in 3/25 of a litre? 120 What is 0.5654608 weeks in days? 3.9582256 How many months are there in 0.7308293 years? 8.7699516 How many months are there in 21/8 of a decade? 315 How many grams are there in 2665.94mg? 2.66594 How many years are there in 0.8355765 decades? 8.355765 What is six fifths of a litre in millilitres? 1200 How many nanograms are there in 3/40 of a microgram? 75 What is 0.997612 grams in kilograms? 0.000997612 What is one tenth of a kilogram in milligrams? 100000 What is 21/2 of a litre in millilitres? 10500 What is 57051.2um in centimeters? 5.70512 What is seventy-four fifths of a milligram in micrograms? 14800 How many grams are there in 3/32 of a tonne? 93750 What is 1/20 of a gram in micrograms? 50000 How many decades are there in 7.446985 centuries? 74.46985 How many millilitres are there in fifty-four fifths of a litre? 10800 What is 13/8 of a litre in millilitres? 1625 How many milligrams are there in 2166.387ug? 2.166387 What is 394.4282 kilometers in millimeters? 394428200 What is five eighths of a litre in millilitres? 625 What is 692.3109 millimeters in kilometers? 0.0006923109 How many years are there in three fifths of a decade? 6 How many millilitres are there in 3/25 of a litre? 120 Convert 0.4951812ng to tonnes. 0.0000000000000004951812 Convert 3.998262m to nanometers. 3998262000 How many micrograms are there in 496182.8t? 496182800000000000 Convert 0.8673297 hours to microseconds. 3122386920 What is 5769.186t in grams? 5769186000 How many hours are there in 4/3 of a day? 32 How many years are there in twenty-five halves of a decade? 125 How many months are there in 7/4 of a millennium? 21000 What is twenty-one fifths of a centimeter in micrometers? 42000 How many micrograms are there in 32/5 of a milligram? 6400 How many meters are there in 575891.3km? 575891300 How many millilitres are there in 3/8 of a litre? 375 What is 0.241901l in millilitres? 241.901 What is 1.274744 centimeters in meters? 0.01274744 How many milligrams are there in eighty-seven fifths of a gram? 17400 How many meters are there in 3163.022 micrometers? 0.003163022 How many nanograms are there in one twentieth of a milligram? 50000 What is 4731.826 micrograms in tonnes? 0.000000004731826 What is 3.0007 tonnes in kilograms? 3000.7 How many years are there in 3/25 of a century? 12 How many micrograms are there in thirty-four fifths of a milligram? 6800 How many grams are there in one quarter of a kilogram? 250 How many seconds are there in 5/24 of a hour? 750 What is seven eighths of a kilogram in grams? 875 How many nanograms are there in 3727.54kg? 3727540000000000 Convert 9.255169l to millilitres. 9255.169 How many milliseconds are there in 0.907357ns? 0.000000907357 What is 55/2 of a litre in millilitres? 27500 How many months are there in sixty-one thirds of a year? 244 Convert 201955.7m to centimeters. 20195570 What is 5/8 of a millennium in years? 625 Convert 5617.153 micrograms to nanograms. 5617153 How many micrograms are there in 918015.8 milligrams? 918015800 How many millilitres are there in 12916.27 litres? 12916270 How many grams are there in one tenth of a tonne? 100000 How many millilitres are there in 59.15926 litres? 59159.26 Convert 25.41949 milligrams to nanograms. 25419490 What is one fifth of a kilometer in meters? 200 How many grams are there in 1/10 of a tonne? 100000 What is eleven halves of a year in months? 66 How many decades are there in 55/2 of a millennium? 2750 How many minutes are there in 250.292 days? 360420.48 How many millilitres are there in one quarter of a litre? 250 What is 3/25 of a kilogram in grams? 120 How many kilograms are there in 11/8 of a tonne? 1375 How many seconds are there in one tenth of a day? 8640 Convert 496.1301 milligrams to micrograms. 496130.1 How many millilitres are there in 540.4595l? 540459.5 How many months are there in 3872.029 decades? 464643.48 What is 85.18396 millennia in decades? 8518.396 How many milligrams are there in 60762.1 micrograms? 60.7621 How many millilitres are there in 57/2 of a litre? 28500 What is five eighths of a microgram in nanograms? 625 How many millilitres are there in 280808.1 litres? 280808100 How many micrograms are there in 199.1738 tonnes? 199173800000000 Convert 0.072228 litres to millilitres. 72.228 How many kilograms are there in 177.5526 grams? 0.1775526 Convert 6.71051 litres to millilitres. 6710.51 How many millimeters are there in 6/25 of a meter? 240 Convert 61.5283 litres to millilitres. 61528.3 How many millennia are there in 0.1125117 centuries? 0.01125117 What is 10/3 of a hour in seconds? 12000 What is 375886.2 years in millennia? 375.8862 What is 0.9205904ml in litres? 0.0009205904 Convert 8.179151 kilometers to centimeters. 817915.1 Convert 2.978535 micrometers to millimeters. 0.002978535 What is twenty-seven fifths of a litre in millilitres? 5400 Convert 417.4132m to micrometers. 417413200 What is thirteen eighths of a millennium in months? 19500 How many nanograms are there in 26/5 of a microgram? 5200 Convert 20.13067 millennia to centuries. 201.3067 What is 1177222.2 days in weeks? 168174.6 What is 0.9568246 litres in millilitres? 956.8246 How many micrometers are there in 72/5 of a millimeter? 14400 What is 329.9247 hours in milliseconds? 1187728920 What is 396514.7 nanogra
{ "pile_set_name": "DM Mathematics" }
e thousands digit of 28188? 8 What is the units digit of 1998? 8 What is the hundreds digit of 68435? 4 What is the ten thousands digit of 11347? 1 What is the tens digit of 1213? 1 What is the thousands digit of 68084? 8 What is the hundreds digit of 1454? 4 What is the units digit of 3750? 0 What is the hundreds digit of 7789? 7 What is the thousands digit of 1489? 1 What is the units digit of 38949? 9 What is the ten thousands digit of 22279? 2 What is the thousands digit of 6922? 6 What is the units digit of 1543? 3 What is the thousands digit of 9917? 9 What is the units digit of 2383? 3 What is the hundreds digit of 1115? 1 What is the thousands digit of 1342? 1 What is the hundreds digit of 4458? 4 What is the units digit of 352? 2 What is the units digit of 75790? 0 What is the thousands digit of 5402? 5 What is the units digit of 2482? 2 What is the thousands digit of 9219? 9 What is the units digit of 77068? 8 What is the thousands digit of 1215? 1 What is the hundreds digit of 715? 7 What is the units digit of 24347? 7 What is the units digit of 78316? 6 What is the thousands digit of 41020? 1 What is the tens digit of 20288? 8 What is the hundreds digit of 20917? 9 What is the units digit of 22608? 8 What is the tens digit of 1657? 5 What is the tens digit of 323? 2 What is the thousands digit of 23043? 3 What is the hundreds digit of 17116? 1 What is the units digit of 1183? 3 What is the hundreds digit of 4730? 7 What is the thousands digit of 3093? 3 What is the units digit of 9977? 7 What is the tens digit of 2541? 4 What is the thousands digit of 33301? 3 What is the thousands digit of 2537? 2 What is the thousands digit of 51721? 1 What is the hundreds digit of 1290? 2 What is the thousands digit of 5012? 5 What is the hundred thousands digit of 120272? 1 What is the tens digit of 358? 5 What is the hundreds digit of 2771? 7 What is the thousands digit of 10112? 0 What is the tens digit of 2316? 1 What is the tens digit of 8077? 7 What is the thousands digit of 3839? 3 What is the tens digit of 4125? 2 What is the ten thousands digit of 104213? 0 What is the tens digit of 3617? 1 What is the hundreds digit of 696? 6 What is the units digit of 29645? 5 What is the units digit of 40155? 5 What is the thousands digit of 15550? 5 What is the thousands digit of 18360? 8 What is the ten thousands digit of 11258? 1 What is the ten thousands digit of 108919? 0 What is the units digit of 1099? 9 What is the ten thousands digit of 115654? 1 What is the thousands digit of 4055? 4 What is the units digit of 1017? 7 What is the units digit of 717? 7 What is the hundreds digit of 4009? 0 What is the thousands digit of 19317? 9 What is the hundreds digit of 1518? 5 What is the units digit of 689? 9 What is the units digit of 42245? 5 What is the tens digit of 1246? 4 What is the units digit of 99566? 6 What is the units digit of 1059? 9 What is the ten thousands digit of 43001? 4 What is the tens digit of 3014? 1 What is the thousands digit of 4929? 4 What is the thousands digit of 5996? 5 What is the hundreds digit of 14825? 8 What is the tens digit of 4637? 3 What is the hundreds digit of 2192? 1 What is the thousands digit of 2022? 2 What is the hundreds digit of 659? 6 What is the tens digit of 3719? 1 What is the thousands digit of 2701? 2 What is the units digit of 6084? 4 What is the tens digit of 1099? 9 What is the hundreds digit of 4570? 5 What is the hundreds digit of 11942? 9 What is the units digit of 2602? 2 What is the hundred thousands digit of 117494? 1 What is the ten thousands digit of 15863? 1 What is the units digit of 10931? 1 What is the hundreds digit of 2304? 3 What is the units digit of 1642? 2 What is the tens digit of 2699? 9 What is the hundreds digit of 3844? 8 What is the tens digit of 1757? 5 What is the hundreds digit of 5250? 2 What is the tens digit of 10417? 1 What is the thousands digit of 14591? 4 What is the hundreds digit of 53902? 9 What is the tens digit of 1745? 4 What is the tens digit of 27021? 2 What is the hundreds digit of 14470? 4 What is the tens digit of 6408? 0 What is the units digit of 4165? 5 What is the thousands digit of 31556? 1 What is the units digit of 14343? 3 What is the hundreds digit of 2423? 4 What is the units digit of 922? 2 What is the tens digit of 3678? 7 What is the tens digit of 897? 9 What is the tens digit of 514? 1 What is the thousands digit of 65757? 5 What is the units digit of 621? 1 What is the units digit of 23143? 3 What is the tens digit of 36640? 4 What is the tens digit of 65728? 2 What is the tens digit of 4691? 9 What is the tens digit of 6092? 9 What is the tens digit of 2108? 0 What is the hundreds digit of 1116? 1 What is the hundreds digit of 680? 6 What is the ten thousands digit of 48397? 4 What is the units digit of 321? 1 What is the units digit of 7785? 5 What is the tens digit of 49138? 3 What is the units digit of 797? 7 What is the hundreds digit of 1738? 7 What is the thousands digit of 6157? 6 What is the units digit of 11556? 6 What is the hundreds digit of 3972? 9 What is the units digit of 6109? 9 What is the hundreds digit of 60817? 8 What is the tens digit of 4667? 6 What is the thousands digit of 5262? 5 What is the ten thousands digit of 67111? 6 What is the tens digit of 6500? 0 What is the tens digit of 33580? 8 What is the hundreds digit of 35670? 6 What is the tens digit of 110988? 8 What is the hundreds digit of 7098? 0 What is the ten thousands digit of 12849? 1 What is the tens digit of 568? 6 What is the hundreds digit of 86726? 7 What is the hundreds digit of 17160? 1 What is the units digit of 58? 8 What is the units digit of 601? 1 What is the units digit of 16309? 9 What is the ten thousands digit of 37426? 3 What is the hundreds digit of 49938? 9 What is the hundreds digit of 7125? 1 What is the tens digit of 5403? 0 What is the thousands digit of 2299? 2 What is the units digit of 5607? 7 What is the ten thousands digit of 100410? 0 What is the hundreds digit of 10291? 2 What is the thousands digit of 2034? 2 What is the tens digit of 13413? 1 What is the units digit of 999? 9 What is the units digit of 14093? 3 What is the ten thousands digit of 24182? 2 What is the tens digit of 26918? 1 What is the hundreds digit of 5704? 7 What is the thousands digit of 3465? 3 What is the tens digit of 2698? 9 What is the thousands digit of 4886? 4 What is the hundreds digit of 388? 3 What is the thousands digit of 15667? 5 What is the tens digit of 96? 9 What is the ten thousands digit of 125269? 2 What is the units digit of 3047? 7 What is the hundreds digit of 3535? 5 What is the hundreds digit of 6282? 2 What is the ten thousands digit of 55871? 5 What is the hundreds digit of 31777? 7 What is the tens digit of 8608? 0 What is the tens digit of 97907? 0 What is the tens digit of 2527? 2 What is the thousands digit of 12533? 2 What is the hundreds digit of 1742? 7 What is the thousands digit of 3102? 3 What is the units digit of 982? 2 What is the tens digit of 5462? 6 What is the thousands digit of 4128? 4 What is the units digit of 11918? 8 What is the thousands digit of 17228? 7 What is the thousands digit of 10618? 0 What is the tens digit of 925? 2 What is the units digit of 866? 6 What is the hundreds digit of 9282? 2 What is the ten thousands digit of 10207? 1 What is the ten thousands digit of 41398? 4 What is the units digit of 547? 7 What is the units digit of 123088? 8 What is the ten thousands digit of 67309? 6 What is the tens digit of 2188? 8 What is the tens digit of 2470? 7 What is the tens digit of 1033? 3 What is the units digit of 42828? 8 What is the units digit of 7242? 2 What is the hundreds digit of 2629? 6 What is the tens digit of 896? 9 What is the units digit of 4513? 3 What is the hundreds digit of 287? 2 What is the ten thousands digit of 177236? 7 What is the thousands digit of 8429? 8 What is the thousands digit of 87454? 7 What is the thousands digit of 64766? 4 What is the thousands digit of 1284? 1 What is the tens digit of 781? 8 What is the hundreds digit of 2916? 9 What is the hundreds digit of 38025? 0 What is the ten thousands digit of 100430? 0 What is the hundreds digit of 2239? 2 Wh
{ "pile_set_name": "DM Mathematics" }
b + b + l = 0 for b. -3 Let t(q) be the first derivative of 17*q**2/2 - q - 1. Let a be t(1). Suppose d + a = 5*d. Solve -2 - d = -2*u for u. 3 Let g = -6 + 15. Let u(t) = t**3 - 9*t**2 + 3. Let i be u(g). Solve -i = -3*x + 3 for x. 2 Suppose -11 - 9 = -2*n. Suppose 3*f = f + n. Let i be 1/2*(3 + -3). Solve -b - f + 0 = i for b. -5 Suppose 4*t + 16 = 4. Let w be (t/1)/(12/(-8)). Solve -2*a - 4 = w*a for a. -1 Let d = -26 + 24. Let z be (-3 + 3 - d)*1. Solve 3 + z = k for k. 5 Suppose 0*g = 6*g - 12. Solve g = v - 2 for v. 4 Let r = 10 + -7. Suppose 3*z - 3 = 2*z. Suppose s = -z*s. Solve -r*f + s*f + 9 = 0 for f. 3 Let o(n) = -n**3 + 8*n**2 - 8*n + 12. Let s be o(7). Suppose 1 - s = -g. Solve 1 + g = -j for j. -5 Suppose 3*d = f + 16 + 13, -2*f - 18 = -d. Let h be (6/5)/(d/20). Solve 4*a - 3 = h*a for a. 3 Suppose -853 = -5*x - y, -x = x - y - 344. Let a be 3/5 - x/(-15). Solve 3*d + d - a = 0 for d. 3 Let n = 0 + 0. Let v be 2/9 - (-4)/(-18). Let f = n - v. Solve f*u + 5 = u for u. 5 Suppose h - y = 2*y - 4, -4*y = -4. Let o = h + 9. Solve 2*v = 6*v + o for v. -2 Let o be 16/(-12)*9/(-2). Solve -2*n + o*n - 12 = 0 for n. 3 Suppose -2 - 6 = -2*c. Suppose -3*z + 6 = 3*a, -a = 3*a + 2*z - 10. Solve -w - c = -a for w. -1 Let i(f) = 6*f**3 + f**2 - f + 1. Let y be i(1). Solve 5*r - y = -22 for r. -3 Let u = 10 + -7. Suppose 22 = 16*w - 26. Solve w*r = -12 - u for r. -5 Let y(d) = d**2 + 6*d + 8. Let k be y(-4). Solve -2*w + w - 2 = k for w. -2 Let r(m) = m**3 - 12*m**2 + 12*m - 8. Let h be r(11). Solve h*d + 18 = 6 for d. -4 Let a be -2*(-2 + (-2)/8*-2). Solve 0 = 3*u + 9 + a for u. -4 Let x(s) = -s**2 - 2*s + 3. Let t be x(-3). Suppose -7 = v - 3*l, -l + 3*l - 10 = t. Suppose 0 = 4*u - 2*p - v, -4*u + 0*u = -4*p. Solve n = -n + u for n. 2 Suppose 7 = 9*x - 20. Solve -2*t - x*t = -5 for t. 1 Suppose 4*a = -2*o + 8, 0*o + 20 = 3*o - 2*a. Solve 4*k - o*k = 8 for k. -4 Suppose -2*d = p - 61, 2*d = 3*d - 4*p - 8. Let f = 6 + -2. Suppose f*a + 4 = d. Solve 1 - a = r for r. -5 Let k be 48/(-40)*10/(-4). Suppose k*d - 3 = 15. Let v(g) = g**2 + 4*g + 2. Let w be v(-4). Solve -d*q + 4 = -w*q for q. 1 Let u = 37 - 20. Let o = u - 12. Solve 29 = -o*k + 4 for k. -5 Let f(a) = a + 9. Let l = -11 - -4. Let i be f(l). Solve -i*u + 5*u = 0 for u. 0 Suppose -38 = -7*a - 17. Solve -a*b = 2*b for b. 0 Suppose 2*f + 3*r = 5*r + 62, -4*f + 129 = r. Suppose 4*h + 0*h - f = 4*m, 2*h = -m + 13. Solve 0 = -4*v + 5 + h for v. 3 Let d = -1 + 6. Let v = -9 - -15. Suppose 2*m + 32 = v*m. Solve -m = -d*a + 2 for a. 2 Let d = 179 + -175. Solve -d*c - 10 - 6 = 0 for c. -4 Let q(d) = d**3 - 4*d**2 - 5*d + 4. Let x be q(5). Suppose -13 = 3*t - x. Let k(l) = -2*l - 4. Let w be k(t). Solve -2*m = -m - w for m. 2 Let h(d) = d**2 + 7*d + 1. Let r be h(-5). Let n(j) = -j**3 + 6*j**2 - 2*j + 8. Let q be n(6). Let v = q - r. Solve 15 = v*l - 2*l for l. 5 Let t(a) = a - 3. Let s(u) = u**3 + 9*u**2 + 7*u - 4. Let c be s(-8). Let m be t(c). Let n = m - -1. Solve -n*y = 2 - 10 for y. 4 Suppose 0*v + 12 = 2*v. Let f = -17 - -33. Suppose f = 4*w, -v*w + w = 3*b - 26. Solve b*o = 6*o for o. 0 Let m be 12/18*15/2. Solve 5*f - 4*f = m for f. 5 Suppose -y + 19 + 13 = 2*c, 0 = c - 4*y - 16. Let z be (c/6)/(1/9). Suppose z = 3*x - 0. Solve 4*r = x*r + 4 for r. -1 Suppose -2*m = 1 - 3. Let n be (-711)/(-81) - 2/(-9). Solve -4*a = -n + m for a. 2 Let y be 4/(-6) + 42/9. Let z be 0 - (1 - 3) - -1. Suppose 16 = v - z*c - 1, 0 = 4*c - 12. Solve y*q - v = -6 for q. 5 Let x be 2/4 - (-6)/4. Let w = 19 - 18. Suppose x*u - 7 = -w. Solve u*o - 15 = -0 for o. 5 Let l be (2/3)/(4/30). Let w(v) = -v - 1. Let t(r) = r - 7. Let h(i) = t(i) - 2*w(i). Let j be h(l). Solve 0 = -0*d - 5*d + j for d. 2 Let o = -6 - -10. Let y(h) = 0 - 4*h - 2*h**3 + 1 + 2 - 3*h**2 + 3*h**3. Let s be y(4). Solve -j + s*j = -o for j. -2 Let w = 64 + -43. Let p be 10/35 + 36/w. Solve 6*z - 4 = p*z for z. 1 Let g be -5 - (-5 - (-5)/(-1)). Solve -5*j + g = 10 for j. -1 Let u be (-40)/(-12)*12/10. Suppose v + 0 = 2*x + 3, 5*v + x = u. Let s = 7 - v. Solve -j + s = j for j. 3 Let r(y) = y**3 + 4*y**2 - 6*y - 5. Let i be (3 - (-3 - -1))*-1. Let b be r(i). Solve b = 2*o + o - 12 for o. 4 Let c = -9 + 6. Let p be (4 - 1)/c + 16. Suppose -5*s - 5*g + 15 + p = 0, 5*s - 12 = 4*g. Solve -s*o = o + 15 for o. -3 Suppose 0 = -0*y - y - 5. Let t be y/10 - (-15)/2. Solve 25 = -t*r + 2*r for r. -5 Let d be -1 + 0 - (-7 - -1). Let c = -91 - -92. Solve -s + c = d for s. -4 Let c(y) = -y**3 - y**2 - y. Let s be c(0). Solve 3*q + 4 - 7 = s for q. 1 Let u = -10 + 10. Suppose -c - 21 = -10. Let g = -5 - c. Solve 5*t - 9 - g = u for t. 3 Suppose -g - 3*v = -6*g + 13, 0 = 2*g + 4*v. Suppose 20 = 4*x + 8. Suppose 5*s = x + 2. Solve g*a - 1 - s = 0 for a. 1 Let k(f) = 2*f**2 + 5*f + 4. Let m = -1 + -1. Let z be k(m). Solve -3*r + z*r = 2 for r. -2 Suppose -5*i + 35 = -5*p, 3*i + 3 = 15. Let o be 8/12 - (-2)/p. Suppose -6*r - 5*h = -r - 40, o = 2*h. Solve r = 5*c - 2 for c. 2 Let u be 5 + (-1 + 7)/3. Suppose 0 = 4*t - u*t + 60. Let f(l) = l - 6. Let b be f(6). Solve b = w + 4*w - t for w. 4 Suppose -3 = -3*y, -2*k - y + 1 = -4*y. Let b be (-22)/(2/(-2) - 1). Suppose -k = s - b. Solve -x + s = 2*x for x. 3 Let z(y) = -4*y + 1. Let g be z(-1). Suppose -17 = -5*a + c, 2*a - 2*c + 5 = g*a. Let w = 1 + 3. Solve f = a*f + w for f. -2 Let d be (18/(-3))/2 - (1 + -14). Solve 0 = -6*u + u - d for u. -2 Let m(w) = w**3 + 2*w**2 + w + 2. Let p be m(-2). Suppose x = -p*x + 1. Let h be 0/(0/3 - x). Solve h = 2*b + 3 + 1 for b. -2 Suppose -r = 2*r - 3*v + 9, 0 = 5*v + 25. Let a = r + 10. Solve -7*h = -5*h + a for h. -1 Suppose 0 = -5*b + 14 + 6. Solve 0 = b*k - 8*k + 16 for k. 4 Suppose 4*u - k - 2 = -1, 0 = 2*u - 3*k + 7. Let y be ((-3)/2 - 0)*-2. Let o be (-1 - 1) + u + y. Solve o*b - 4 - 2 = 0 for b. 3 Suppose 5 = -5*r, 5*j + 2*r + 2 = j. Solve j = -2*x + 9 - 1 for x. 4 Let x(q) = q**2 + 12*q + 6. Let g be x(-12). Let b be (-4)/(-2) + 1 + -1. Solve 0 = b*s - 5*s + g for s. 2 Let c = -43 + 46. Solve 5 = 2*k - c for k. 4 Let j be 8/3 + (-2)/(-6). Let s be ((-3)/3 - -4) + 3. Solve j*a = s*a for a. 0 Let c be (-2)/3 - (-8)/12. Suppose 5*l = -c + 5. Solve 3*j + 5 = -l for j. -2 Let p(w) = -w**2 + 6*w + 3. Let h be p(3). Solve -3*t - h = t for t. -3 Let j be 4/(-22) + (-106)/22. Let t be 20/(-8)*4/j. Suppose -t*d + 16 - 2 = 0. Solve 0 = -d*a + 4*a - 12 for a. -4 Suppose 0 = 5*d - 21 + 1. Let y = -16 - -17. Solve -3*v = -d*v + y for v. 1 Suppose w + 10 = 3*w. Solve 2*y - 15 = w*y for y. -5 Let u(b) = b**3 - 3*b + 2. Let z be u(2). Suppose -20 = -z*t - 0*t. Solve -2*j = -7*j - t for j. -1 Suppose 0*h - 10 = -5*h. Suppose 0 = -i - h*i. Solve m + i = -2 for m. -2 Suppose 2 = -2*o + 4*d, -7*o + 2 = -3*o - 5*d. Solve 1 = q + o for q. -2 Let g(o) = -5*o - 1. Let n be g(-1). Let m be (0 + 2)*5/2. Let k be (-2)/(-6) + m/(-15). Solve k = -3*l - 8 - n for l. -4 Suppose -5*r - 3*k = -64, -3*r + 0*r - 2*k = -39. Solve -3*i - r + 2 = 0 for i. -3 Let f = 4 + 1. Solve -f*r = -4 + 24 for r. -4 Let j = -76 + 86. Solve w - 3*w = -j for w. 5 Let j be ((-6)/4)/(3/(-10)). Suppose 0 = l + 4*l + j. Let b be 0 - (0 - (l + 1)). Solve 0*o - 5*o + 5 = b for o. 1 Let s be 18/27 - (-1)/3. Solve 0 = -2*v + 3 + s for v. 2 Suppose -2 = -k - 1. Let p(a) = a**3 - a**2 + a - 1. Let c be p(k). Solve c*n = 5*n - 5 for n. 1 Let a(b) = -b**2 - 4*b - 1. Let p be a(-5). Let c = p + 3. Let j be (-4)/6 - 11/c. Solve -j*y + 2*y + 1 = 0 for y. 1 Let g be ((-8)/10)/((-2)/10). Let y = -22 - -24. Let p be (y - 4/6)*6. Solve 0*r + g*r = -p for r. -2 Suppose 2*b - 10 = -3*i + 6, 2*i - 4*b = 0. Solve -w + 3 = i for w. -1 Let z = -7 + 13. Suppose -z*u + 2*u + 12 = 0. Solve -5*o - u = 7 for o. -2 Suppose 3*v + 3 = -3. Let u = v + 7. Suppose -5*g + 4*x + 40 = 0, 3*g - u*x + 37 = 4*g. Solve 0 = -o + 4*o - g for o. 4 Let u be 7 + 2 + 2 + -3. Solve 3*n - u*n = 20 for n. -4 Let i = -7 + 6. Let j = i + 4. Solve -j*o + 25 = 2*o for o. 5 Let a = 3 - 3. Let i = -2 + 5. Let x = -40 - -43. Solve x*b + a*b = -i for b. -1 Suppose 0 = -7*q + 6*q + 7. Solve q*m - 16 = 3*m for m. 4 Let q = 43 - 41. Solve 0 = 4*i - q*i + 6 for i. -3 Let m be (5/2)/(1/2). Let i be (3/45*5)/((-1)/(-9)). Suppose 0 = 3*g + 4*x - 20, -g - 2*x + 12 = 2*x. Solve -g*z = i
{ "pile_set_name": "DM Mathematics" }
- 2*v**2)*(-3 + 4 - 3) to n*v**2 + o + d*v + h*v**3 and give h. -489 Rearrange -20*n**3 + 1 - 1 + n**2 + 21*n**3 - n to k + o*n**3 + h*n**2 + l*n and give h. 1 Rearrange -3*c - 9*c + 7*c + 5*c + 235 - 2*c to the form q + k*c and give q. 235 Rearrange 18*h**4 - 3*h**4 - 2*h - h**2 - 21 - 2*h**3 - 14*h**4 to the form c*h**4 + p + z*h + q*h**3 + i*h**2 and give i. -1 Express (-151688*p**2 + 2*p**3 - 21 + 151688*p**2)*(3 - 3 + 1)*(3 - 6 + 4) in the form n*p**3 + c*p**2 + o*p + z and give z. -21 Express (c - 3*c - c)*(-c - c + 4*c + (16 + 3 + 17)*(-3*c + 2*c + 2*c)) as h*c**2 + t*c + v and give h. -114 Rearrange (-f**2 - 1 + 1)*(-89 - 121 - 704) to c*f + p*f**2 + u and give p. 914 Express 81*l**3 + 9*l**2 - 25*l**3 - 21*l**3 - 31*l**3 as s*l + x*l**2 + o*l**3 + f and give o. 4 Express 3*r**2 + 230 - 29*r - 458 - 10*r + 229 as q*r + j*r**2 + o and give q. -39 Express 2*y - 81*y**2 - 2*y + 196*y**2 - y as c*y**2 + v + z*y and give c. 115 Rearrange 0*k**4 - 58 + 126*k**3 - k**4 + 7*k**4 + 59 - 5*k**4 to z*k**2 + y*k**4 + r*k**3 + a + v*k and give r. 126 Express -17*z**2 - 62 + 121 - 58 + 49*z**2 as m*z**2 + q + j*z and give m. 32 Express 136*h - 59*h + 30*h + 171*h as b*h + k and give b. 278 Express 6 - 12*w**3 - 6*w - 4*w**3 - 3*w**3 + 20*w**3 in the form n*w**3 + b*w**2 + v*w + g and give n. 1 Express 32*s**3 + 12*s**4 - 32*s**3 + (0 - 4*s + 0)*(-2*s**2 + 0 + 0)*(s + 1 - 1) in the form f + l*s**3 + t*s + v*s**2 + a*s**4 and give a. 20 Express 120*d - 4*d**2 - 7*d**2 - 2 + 13*d**2 - d**2 + 1 in the form c*d + v*d**2 + h and give h. -1 Rearrange (-4*x + 3*x - x)*((5*x - 3*x + 0*x)*(-2 + 0 + 3) - 3*x + 4*x + 3*x - 3*x + 2*x + 3*x + (0 - 1 + 0)*(5 - 2*x + 3 + 0)) to g*x**2 + b*x + c and give g. -20 Express (-104*f + 456 - 456)*(-3 - 2 + 8) - 3*f - 3 + 3 in the form c + y*f and give y. -315 Rearrange (-733*z + 224*z**3 + 733*z)*(2 - 5 + 2)*(2 - 5 + 2) + z - z + z**3 to p*z**2 + o*z**3 + q + u*z and give o. 225 Express (-1 - 3 - 2)*(v + 0*v + 0*v + 0 + 2*v + 0 + (-2*v + 5*v + 0*v)*(5 - 4 + 0))*(-2 + 4 - 1)*(-2*v + v + 2*v) in the form j*v**2 + m*v + c and give j. -36 Express (4*i**2 - i**2 + 0*i**2)*(-17 - 17 + 140*i**2 + 34) as m*i**2 + d + p*i**4 + s*i**3 + k*i and give m. 0 Express (z - 3*z + 0*z)*(-23 + 43 + 32)*(-20 + 4 + 2) as p*z + y and give p. 1456 Express (659*p**2 + 491*p**2 - 399*p**2)*((-p - p + 0*p)*(-4 + 0 + 3) + 3 + 2*p - 3) as t*p + y + q*p**2 + v*p**3 and give v. 3004 Express 198*j - 23 - 51*j + 20 + 3 in the form m*j + p and give m. 147 Express 2*t**2 - 3*t**2 - t**2 + (t + 2*t - 5*t)*(-t + 5*t - 2*t) - 4715 + 4715 + 1498*t**2 in the form k + m*t**2 + s*t and give m. 1492 Express (-5*f**3 - f**3 + 0*f**3)*(-1 + 8 + 4 - 1 + 2 + 0 + (0 + 4 - 5)*(4 - 4 - 2)) as v + r*f**3 + d*f + w*f**2 and give r. -84 Rearrange 20*r - 6*r**3 + 3*r - 17*r + 2*r**2 to l*r + o*r**2 + s + t*r**3 and give l. 6 Rearrange 268*o**2 - 69363 + 69363 to the form u + q*o + k*o**2 and give k. 268 Rearrange (-6*k + 2*k + 2*k - 89*k - 153*k - 67*k + (0 - 1 + 0)*(-2*k + k - k))*(-3*k + 3*k**2 + 3*k) to c + w*k + t*k**3 + o*k**2 and give o. 0 Express -420*h**2 + 11 - 405*h**2 - 408*h**2 + 10 - h**3 + 1246*h**2 as n*h**2 + a*h + o*h**3 + i and give o. -1 Express 269*f**2 - 912*f**2 - 1052*f**2 as v + z*f**2 + c*f and give z. -1695 Express 16*p - 22*p - 21 + 19 - 29*p in the form r + k*p and give r. -2 Express -55*v**4 - 60*v**4 + 116*v**4 - v - 2*v**2 + 43*v**3 + 1 as f*v**4 + r*v + l*v**3 + m + o*v**2 and give f. 1 Express -2 + 3 - 5*b + 4*b + 2*b in the form x + q*b and give x. 1 Rearrange (0 + g**2 + 0 - g**2 - 4*g + 4*g + (g + 4*g - 6*g)*(1 - 1 + 2*g))*(0 + 4 - 5)*(59 + 15 + 35) to u*g**2 + s*g + v and give u. 218 Rearrange -50*j - 1323*j - 364*j - 307*j to q*j + l and give q. -2044 Express (-4 - 3 - 7)*(-1 + 2 + 1)*(t - 3*t + 0*t)*(-7 + 8 - 5) in the form n + f*t and give f. -224 Rearrange -2*g**2 - 85 + g**3 + g**2 - 115 + 167 to the form r*g**3 + t*g**2 + x + y*g and give t. -1 Express -f - 2*f**2 - f - 36 + f - 36 in the form y + x*f**2 + z*f and give x. -2 Rearrange -131*c**2 + 45 + 68*c**2 + 61*c**2 to l*c**2 + u*c + o and give o. 45 Express -27*c**2 - 12*c + 23*c - 12*c + 4 in the form g + p*c**2 + l*c and give l. -1 Rearrange (1 + 2*i**2 - 1)*(42*i**2 + 249 - 482 + 2*i + 234) to the form n*i**3 + s*i**2 + d + j*i + x*i**4 and give x. 84 Express 0 + 4 - 366*d + 363*d in the form r + o*d and give o. -3 Express (q - 3*q + 4*q + 5)*((-1 + 1 + 1)*(0 - 4 + 2) - 3 + 1 - 2) as u + x*q and give x. -12 Rearrange 9*u + 6*u + 6*u + (0 - u + 0)*(-9 + 8 + 9) + 0 - 2 + u + 3 to x + z*u and give z. 14 Rearrange -112*k**2 + 6*k**3 + 21*k**4 - 44*k**4 - 4*k**3 + 19*k**4 + 0*k**3 to the form d*k**4 + q + w*k**3 + b*k + m*k**2 and give w. 2 Express (1 + 1 - 1)*(898 - 454*n**2 - 898) as o*n**2 + b*n + k and give o. -454 Rearrange 227*a**2 - 17*a**2 - 7*a**2 - 37*a**2 + 113*a**2 to z*a + p + f*a**2 and give p. 0 Express (-469 + 0*j + 395 + j)*(-2*j + 6*j + j) as i + h*j + x*j**2 and give x. 5 Rearrange (3982*l + 3*l**2 - 3982*l + 168*l**2)*(0*l - l + 2*l) to k*l**3 + g + a*l**2 + p*l and give k. 171 Express (274*x**3 - 133*x**3 - 1260 - 142*x**3)*(2*x + x - 7*x) as c*x**2 + y*x**4 + l*x**3 + v*x + u and give y. 4 Rearrange (2 + 2 - 2)*(2 + k - 2)*(-k**2 - k**2 + 0*k**2)*(45*k - 248*k - 85*k) to the form x*k**3 + q*k**4 + r + l*k + u*k**2 and give q. 1152 Express (0 - 3 + 4 + (-2 + 5 - 1)*(4 - 3 + 1) - 12 + 4 + 13)*(-4*k**2 + 16*k**2 - 11*k**2) in the form q*k + p*k**2 + o and give p. 10 Rearrange 102*a**3 + 5 + 45*a**3 + 0 - 2 + 0 to w*a**2 + o*a + s + q*a**3 and give q. 147 Rearrange 125 - 4*s - s - 243 + 126 to z*s + u and give u. 8 Rearrange (1 - 2 - 2)*(i - i - i) + 9*i - 35*i + 5*i to v*i + b and give v. -18 Express -74*g - 30*g**2 - 1 + 0*g**2 + 1 + 73*g as o*g**2 + v + l*g and give l. -1 Rearrange -13*r**2 - 60*r**2 - 217*r**2 + r**2 to o*r**2 + b + q*r and give o. -289 Rearrange 8*o**4 + o**2 + 6*o**4 - 9 + 22 - 2*o - 2*o**3 - 14 to the form r*o + z*o**3 + q*o**2 + v + w*o**4 and give r. -2 Rearrange (-4*h**2 + h**2 + h**2)*(-2*h**2 + 257962*h + 56 - 257962*h) to the form f + s*h**2 + q*h + u*h**4 + x*h**3 and give s. -112 Rearrange -3 + 4 + 7*w**2 - 6*w + 4 - 13*w + 18*w to f*w + j*w**2 + x and give x. 5 Rearrange 31*o**2 - 32*o**2 - 9*o**2 + 4*o**3 - 26*o**2 to the form h + f*o + w*o**2 + c*o**3 and give c. 4 Express 13*h - h + 2*h - 2 + (2 - 1 + 1)*(-3*h + 5*h + 0*h) - 1 - h + 1 + 3*h + 7 - 7 in the form q*h + w and give w. -2 Rearrange -36 - 968*t**3 + 3*t**2 + 2*t + 967*t**3 - t**4 - 2*t**2 to p*t**4 + b*t + w + x*t**3 + r*t**2 and give p. -1 Rearrange -710 - 34*g + 353 + 352 + 13*g to q*g + i and give q. -21 Rearrange -48*q**4 - 44*q**4 - 1 + 90*q**4 - 1 - q**2 + 3*q to the form z*q + p*q**4 + k*q**2 + i*q**3 + t and give k. -1 Rearrange 3*q**2 - q - 2*q**2 - 29 + 11 - 27 - 1 to the form u + f*q + j*q**2 and give f. -1 Rearrange (3*k - 8*k + 3*k)*(0*k - 3*k + 2*k) + (0*k + 0*k + 2*k)*(10 - 16 + 10)*(-k - 2*k + 5*k) to the form h + f*k + w*k**2 and give w. 18 Rearrange 92*g**2 + 1632 - 3*g - 1632 to z*g + p*g**2 + r and give r. 0 Rearrange -5399*h**3 + h**2 + 2*h**2 + 2*h + 5376*h**3 to the form y + v*h**3 + i*h + a*h**2 and give v. -23 Rearrange (19*y + 245*y - 40*y)*(2 + 4 - 1) to the form l + r*y and give r. 1120 Express -105*j**2 - 149*j**2 + 4*j**2 - 48*j**2 in the form x + s*j**2 + y*j and give y. 0 Express -63 - 317*y**2 + 2*y - 66 + 129 - 2*y**3 in the form k + g*y**2 + v*y + h*y**3 and give g. -317 Express (-2*f + 2*f - 2*f**3)*(-32*f - f + 110*f) as s*f**2 + l + o*f**3 + n*f + j*f**4 and give o. 0 Rearrange 10*g - 8*g - 8*g - 4*g + g + 2*g + (11 - 1 + 1)*(5*g + g - 2*g) + 5*g - 6*g - g + (-2 + 0 + 1)*(g + 0*g + 2*g) to the form m + r*g and give r. 32 Express 143*g - 353 + 67*g + 353 in the form q + h*g and give q. 0 Rearrange (16*a + 880 - 880)*(19*a**2 - 104*a**2 - 2*a**2) to the form u*a**2 + w + g*a + o*a**3 and give o. -1392 Rearrange 62 - 58 + 2*c - 52 to k + j*c and give j. 2 Rearrange -3244*f**2 + 0*f + 3243*f**2 - 80 + f to the form q*f**2 + z*f + c and give z. 1 Express -1786*k + 2 + 119*k**2 + 894*k + 892*k in the form p*k**2 + q*k + y and give y. 2 Rearrange -34*g - 73*g - 65*g to the form w*g + u and give w. -172 Express -18 - 9*a**2 + 20 + 3
{ "pile_set_name": "DM Mathematics" }
that i(n) = 0. -2, 0, 1 Let d = 2021/3549 + 1/507. Let g be (1 + 0)*(-3 + (2 - (-3 + 2))). Factor 2/7*q**2 + d*q + g. 2*q*(q + 2)/7 Suppose -9 = 39*s - 42*s. Let -3*z**3 - 3*z**s + 93*z**2 + 3*z**4 - 93*z**2 + 14*z**5 + 5*z**4 = 0. What is z? -1, 0, 3/7 Let o = -49219 + 49222. Factor -448/13*u + 512/13 - 2/13*u**o - 62/13*u**2. -2*(u - 1)*(u + 16)**2/13 Let z = -10059/10 + 1006. Let o(n) be the first derivative of -6 + z*n**4 + 1/5*n**2 + 0*n + 4/15*n**3. Factor o(u). 2*u*(u + 1)**2/5 Suppose 4*c - 15 + 39 = 0. Let i(b) = b**2 + 8*b + 16. Let s be i(c). Factor -3*w**3 - s*w**2 + w**2 + 7*w - 7*w. -3*w**2*(w + 1) Let i(a) be the second derivative of -3*a**5/40 + 3*a**4/4 - 11*a**3/4 + 9*a**2/2 + 2*a + 370. Factor i(n). -3*(n - 3)*(n - 2)*(n - 1)/2 Suppose p + 11*v - 12*v + 1 = 0, -3*v + 15 = p. Factor -3*d**3 - 348*d**2 + 2*d**3 + 344*d**2 + 5*d**p. 4*d**2*(d - 1) Let p(u) be the third derivative of -u**6/540 + u**5/180 + u**4/3 - u**3/6 + 86*u**2. Let l(q) be the first derivative of p(q). Solve l(k) = 0 for k. -3, 4 Suppose -176 - 1970*d - 43 + 5*d**2 - 2433 + 677 = 0. Calculate d. -1, 395 Let b(j) be the second derivative of j**4/20 + 198*j**3/5 + 58806*j**2/5 - 8*j + 74. Factor b(z). 3*(z + 198)**2/5 Let -215/2 - 1293/4*u**2 + 433/4*u**3 - 1/4*u**4 + 1291/4*u = 0. Calculate u. 1, 430 Let v(t) be the first derivative of -1/90*t**5 + 0*t**2 + 2/27*t**4 + 15*t - 24 - 1/9*t**3. Let l(q) be the first derivative of v(q). Factor l(z). -2*z*(z - 3)*(z - 1)/9 Let z(o) = 31*o**3 + 21*o**2 - 10*o. Let j(c) be the first derivative of 45*c**2 + 0*c - 70*c**4 - 190/3*c**3 + 14. Let u(w) = -6*j(w) - 55*z(w). Factor u(y). -5*y*(y + 1)*(5*y - 2) Let k(s) be the third derivative of -s**5/360 - 31*s**4/144 + 8*s**3/9 - 1736*s**2. Factor k(p). -(p - 1)*(p + 32)/6 Let h = 253/5 - 247/5. Let i = 12948 + -12948. Factor -h*w**3 + 6/5*w - 3/5*w**4 + i + 3/5*w**2. -3*w*(w - 1)*(w + 1)*(w + 2)/5 Let v be 26*9/702*(1 + -1). Let t(k) be the second derivative of -3/8*k**4 + 0 + v*k**3 + k**2 - 15*k. Find s such that t(s) = 0. -2/3, 2/3 Let o(y) be the first derivative of -y**3/6 - 53*y**2/6 - 68*y/3 + 881. Factor o(f). -(f + 34)*(3*f + 4)/6 Let j(m) be the second derivative of 32*m**6/15 - 176*m**5/5 + 383*m**4/3 + 22*m**3/3 - 48*m**2 - 5*m + 354. Solve j(k) = 0. -1/4, 1/4, 3, 8 Let l be -4 + (-30)/(-8) + 6/24. Let g(i) be the second derivative of 2*i + 0*i**4 + l*i**3 - 1/40*i**5 + 0 + 0*i**2. Determine x, given that g(x) = 0. 0 Let z be (-35)/(-27) + (-890)/(-24030). Factor 4/3*w**3 + 2/9*w**2 + 0 - z*w - 2/9*w**4. -2*w*(w - 6)*(w - 1)*(w + 1)/9 Suppose -3*p + 47 = 2. Let o be (4 - (1 - 2) - 2) + -1. Factor p*w**o + 1 + 9*w - 11*w - 6*w**3 + 2 - 10*w. -3*(w - 1)**2*(2*w - 1) Let i(y) be the third derivative of -y**6/40 + 11*y**5/5 - 389*y**4/8 - 217*y**3 + 9583*y**2 + y. Let i(s) = 0. What is s? -1, 14, 31 Let r be 1694/(-1452) + (-923)/(-30). Let o be (-2)/(-5) - 238/(-35). Factor r*q**3 + 24*q**4 + 16/5*q + 16*q**2 + o*q**5 + 0. 4*q*(q + 1)**2*(3*q + 2)**2/5 Let f be ((-9)/(-119))/((-9648)/(-218688)). Let -1/7*n**5 + 0 - f*n**2 + 0*n + n**4 - 4/7*n**3 = 0. Calculate n. -1, 0, 2, 6 Suppose 0 = -4*i + 8, -5*m = -i + 14 - 282. Suppose p - m = 5*g - 0*g, 2*g - 216 = -4*p. Find t, given that -t + p*t**3 - 49*t**3 - 25*t**2 + 21*t = 0. 0, 1, 4 Factor -26*l**2 + 10874515 + 59*l**2 - 1240*l - 31*l**2 - 8260*l + 406735. 2*(l - 2375)**2 Let i be (-4)/(-54) - (3 + 1120/(-189)). Let p(l) be the second derivative of 39*l + 2/9*l**4 + 1/9*l**i + 0 + 1/30*l**5 - 2*l**2. Determine h so that p(h) = 0. -3, -2, 1 Suppose 3*w + 2*h = -3*h + 6, 0 = -h. Let l(u) be the second derivative of 1/11*u**3 - 1/66*u**4 + 28*u + 0 - 2/11*u**w. Factor l(f). -2*(f - 2)*(f - 1)/11 Let y = -659579/13 + 50737. Let 2/13*n**3 + 0 + 0*n**2 - y*n = 0. Calculate n. -1, 0, 1 Let j(a) be the first derivative of 4/5*a**5 + 1200*a**3 + 0*a**2 + 12 + 0*a - 60*a**4. Suppose j(g) = 0. What is g? 0, 30 Let -2/7*x**3 - 51810/7*x - 197192/7 - 636/7*x**2 = 0. What is x? -157, -4 Solve 122/7*f + 2*f**4 - 48/7 - 86/7*f**2 - 2/7*f**3 = 0. -3, 1, 8/7 Solve 180/7*g**2 + 3/7*g**5 - 33/7*g**3 + 0 + 300/7*g - 18/7*g**4 = 0 for g. -2, 0, 5 Let n(x) be the second derivative of x**7/14 + 3*x**6/5 - 3*x**5/20 - 3*x**4/2 - 1587*x. Find f such that n(f) = 0. -6, -1, 0, 1 Let w(v) = -9*v - 108. Let r be w(-12). Find i, given that -30*i + 48 + 5*i**2 - 8 + r = 0. 2, 4 Let j(z) be the second derivative of z**4/20 - 64*z**3/5 - 792*z**2/5 - 7047*z. Factor j(n). 3*(n - 132)*(n + 4)/5 Let l(j) be the third derivative of j**7/1680 - 37*j**6/960 - j**5/3 - 41*j**4/48 + 2*j**2 + 9*j - 83. Factor l(a). a*(a - 41)*(a + 2)**2/8 Let p(n) = n**3 + 21*n**2 + 131*n + 2222. Let b be p(-20). Solve -8/9 - 2/3*a + 2/9*a**b = 0. -1, 4 Let w(k) be the second derivative of 6*k - 11/54*k**4 - 1/27*k**3 + 1/90*k**5 - 21 + 11/9*k**2. Suppose w(z) = 0. Calculate z. -1, 1, 11 Let q = -3787 + 3789. Let j(z) be the third derivative of -1/200*z**6 - 2/5*z**4 - 15*z**q + 0*z + 0 + 0*z**3 - 2/25*z**5. Let j(u) = 0. What is u? -4, 0 Let m(a) = 2*a**2 - 764*a + 1300. Let t(h) = -8*h**2 + 1525*h - 2600. Let z(p) = -5*m(p) - 2*t(p). Factor z(g). 2*(g + 130)*(3*g - 5) Let g(l) be the third derivative of -l**8/1512 - 2*l**7/63 - 7*l**6/15 - 196*l**5/135 + 2223*l**2. Factor g(a). -2*a**2*(a + 2)*(a + 14)**2/9 Determine g, given that 0*g + 0 + 3/5*g**3 - 279/5*g**2 = 0. 0, 93 Factor -1/3*s**2 + 0 + 15*s + 1/3*s**4 - 15*s**3. s*(s - 45)*(s - 1)*(s + 1)/3 Let h(w) be the third derivative of w**6/210 - 11*w**5/35 - 24*w**4/7 - 296*w**3/21 + 3382*w**2. Find x, given that h(x) = 0. -2, 37 Let h = -4263 + 4265. Let p(j) be the first derivative of 0*j - 16 + 0*j**3 - 1/8*j**h + 1/16*j**4. What is k in p(k) = 0? -1, 0, 1 Suppose q - 3 = 23*h - 24*h, 0 = -h - 5*q + 7. Suppose h*k + 2*t - 26 = -28, -5*t - 23 = -4*k. What is c in 40/9*c - 200/9 - 2/9*c**k = 0? 10 Let z be (2 + (-7)/3)/((-12)/(-960)). Let y = -70/3 - z. Let -8/3*n + 0 - 16/3*n**2 + y*n**3 = 0. What is n? -2/5, 0, 2 Let f be (6/18)/((-5)/(1080/(-252))). Determine d, given that f*d - 2/7*d**3 - 2 + 2*d**2 = 0. -1, 1, 7 Let c(z) be the first derivative of 2*z**3/3 + 390*z**2 + 76050*z + 794. Suppose c(w) = 0. Calculate w. -195 Let a = -918/341 + 3436/1023. Factor 50 + 260/3*i + 136/3*i**2 + 28/3*i**3 + a*i**4. 2*(i + 1)*(i + 3)*(i + 5)**2/3 Let o(q) = -18*q**2 + 1040*q + 140490. Let i(h) = -h**2 - h + 2. Let v(b) = -20*i(b) + o(b). Factor v(d). 2*(d + 265)**2 Let g(j) be the first derivative of 0*j + 0*j**2 - 1/7*j**4 - 82 - 8/21*j**3. Factor g(w). -4*w**2*(w + 2)/7 Let n(x) be the second derivative of 7*x**6/15 - 9*x**5/14 - 149*x**4/21 - 8*x**3/7 + 5895*x. Let n(p) = 0. What is p? -2, -4/49, 0, 3 Let d(r) = 4*r**2 - 10 - 36*r + 3 + 2. Let w(f) = 6*f**2 - 54*f - 8. Let u(c) = -8*d(c) + 5*w(c). Let u(g) = 0. Calculate g. 0, 9 Suppose 2*v + 2*r = 8, -3*r = -5*v + r - 25. Let j be (v - 1)/(-1 - 0). Factor -8*u + 20 + 32*u + u + 10*u**3 + 35*u + 45*u**j. 5*(u + 2)**2*(2*u + 1) Let u(h) = 5*h**2 - 140*h - 178. Let t(j) = -j**2 + 28*j + 35. Let w(y) = -22*t(y) - 4*u(y). Suppose w(a) = 0. Calculate a. -1, 29 Suppose 198 = -183*c + 249*c. Factor r + 1 - 1/4*r**c - 1/4*r**2. -(r - 2)*(r + 1)*(r + 2)/4 Let i = -43592 - -217972/5. Determine u, given that 27/5*u**3 + 36/5*u - i + 15*u**2 = 0. -2, -1, 2/9 Let u(z) = -13*z - 238. Let m be u(-22). Let a be 36/450 - m/(-25). Determine f so that 3/5*f + 1/5*f**a + 2/5 = 0. -2, -1 Suppose 4*m = -4*x + 36, 0 = -18*m + 16*m - 8. Let l be (-91)/x - (-115)/15. Factor 36 + 14/3*f**3 - 6*f**2 - 18*f - l*f**4. -2*(f - 3)**3*(f + 2)/3 Let x(m) be the second derivative of -m**6/600 - m**5/100 + 11*m**2 - 87*m. Let p(c) be the first derivative of x(c). Suppose p(k) = 0. What is k? -3, 0 Determine p, given that -3/5*p**2 - 11832588/5 + 11916/5*p = 0. 1986 Let p(x) be the second derivative of -x**5/20 + 19*x**4/6 + 209*x**3/6 + 129*x**2 - 7103*x. Suppose p(o) = 0. What is o? -3, -2, 43 Factor 134 - 1/3*p**3 + 1/3*p - 134*p**2. -(p - 1)*(p + 1)*(p + 402)/3 Let l = 414 - 398. Factor 4*r**5 - 14*r**2 - 304*r**4 - l*r**3 - 34*r**2 + 316*r**4. 4*r**2*(r - 2)*(r + 2)*(r + 3) Let r = -118026 - -472119/4. Factor -r*f**3 + 175/4*f + 45/4 + 115/4*f**2. -5*(f - 9)*(f + 1)*(3*f + 1)/4 Let y(b) = -4*b**3 +
{ "pile_set_name": "DM Mathematics" }
1/55 Calculate prob of sequence fx when two letters picked without replacement from {f: 4, d: 8, p: 2, x: 2}. 1/30 Two letters picked without replacement from jjnjjppnpnpnppn. Give prob of sequence np. 1/7 Calculate prob of sequence wqw when three letters picked without replacement from {w: 2, q: 2}. 1/6 What is prob of sequence sjd when three letters picked without replacement from hsjsphjhspdsshhhp? 1/408 Four letters picked without replacement from {g: 3, p: 4, q: 5, n: 1}. Give prob of sequence gqgq. 1/143 Two letters picked without replacement from jjjmjjjjjjmmjjjjjjjm. Give prob of sequence mj. 16/95 What is prob of sequence ccke when four letters picked without replacement from rkeecnkc? 1/210 Two letters picked without replacement from {l: 6, o: 3, y: 1, q: 3, p: 1}. What is prob of sequence qp? 3/182 What is prob of sequence yyyl when four letters picked without replacement from llyleleleylyyyy? 2/91 What is prob of sequence vvb when three letters picked without replacement from {b: 2, v: 2}? 1/6 What is prob of sequence llvt when four letters picked without replacement from vltvvkd? 0 Two letters picked without replacement from lssmemmcesqc. What is prob of sequence cl? 1/66 Three letters picked without replacement from {m: 8, t: 4, p: 1, f: 5}. What is prob of sequence mff? 5/153 Calculate prob of sequence vmv when three letters picked without replacement from mmvmvmm. 1/21 What is prob of sequence wooo when four letters picked without replacement from wwooo? 1/10 What is prob of sequence awrb when four letters picked without replacement from rarrrxarrbwratraarrr? 11/23256 Four letters picked without replacement from {k: 3, m: 4}. Give prob of sequence mmkm. 3/35 Two letters picked without replacement from zzxz. What is prob of sequence xx? 0 Calculate prob of sequence uebe when four letters picked without replacement from {b: 4, u: 8, e: 2}. 8/3003 What is prob of sequence wi when two letters picked without replacement from {i: 7, m: 2, w: 7, t: 2}? 49/306 Four letters picked without replacement from bttttbtttttt. What is prob of sequence bbtt? 1/66 What is prob of sequence jz when two letters picked without replacement from ssszsjnszzzssszzssnz? 7/380 Four letters picked without replacement from yyieeyeyyyeeyyyyy. What is prob of sequence yeei? 11/2856 Calculate prob of sequence sry when three letters picked without replacement from yssrkkeg. 1/168 Three letters picked without replacement from yyvvvvyvvvvyvvvvvyy. What is prob of sequence yvv? 52/323 Calculate prob of sequence hhdd when four letters picked without replacement from dqhduhdd. 1/70 Three letters picked without replacement from sxxxsssxssxxx. What is prob of sequence xss? 35/286 Three letters picked without replacement from effeffefeffe. Give prob of sequence eff. 7/44 Two letters picked without replacement from {l: 5, a: 2, b: 1, x: 3, w: 1}. Give prob of sequence xx. 1/22 What is prob of sequence iiee when four letters picked without replacement from iiiieiiiiiiei? 1/78 Calculate prob of sequence dij when three letters picked without replacement from {c: 1, q: 1, a: 1, i: 5, d: 4, j: 1}. 5/429 Calculate prob of sequence bbuu when four letters picked without replacement from ubuuuuububbbb. 21/286 Two letters picked without replacement from rrrrrurrruru. What is prob of sequence ur? 9/44 Three letters picked without replacement from {d: 3, z: 12}. What is prob of sequence ddd? 1/455 Two letters picked without replacement from {t: 2, l: 1, o: 1, q: 6, j: 2}. Give prob of sequence lj. 1/66 What is prob of sequence cgll when four letters picked without replacement from ccgggccgccgccggglgg? 0 Calculate prob of sequence ii when two letters picked without replacement from {i: 6}. 1 Calculate prob of sequence jt when two letters picked without replacement from {j: 1, t: 2, g: 1, l: 4}. 1/28 What is prob of sequence hnnh when four letters picked without replacement from {n: 14, h: 5}? 455/11628 Two letters picked without replacement from {d: 1, e: 2, w: 1, p: 4, v: 2}. What is prob of sequence ev? 2/45 What is prob of sequence jny when three letters picked without replacement from nnnnynjnjjnnjnnjnnj? 4/323 Calculate prob of sequence ul when two letters picked without replacement from llldlulullkuo. 7/52 Two letters picked without replacement from {l: 7, v: 1}. Give prob of sequence lv. 1/8 Three letters picked without replacement from {c: 5, j: 5}. What is prob of sequence jcj? 5/36 What is prob of sequence obm when three letters picked without replacement from {o: 2, g: 6, b: 1, m: 3}? 1/220 What is prob of sequence sshf when four letters picked without replacement from {s: 2, p: 2, f: 6, h: 3, e: 2}? 1/910 What is prob of sequence jr when two letters picked without replacement from jrrj? 1/3 Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjzzzzjjjj. 30/143 Two letters picked without replacement from {l: 8, t: 1, a: 2, c: 2, e: 5}. What is prob of sequence ae? 5/153 What is prob of sequence nb when two letters picked without replacement from {r: 2, f: 7, n: 1, b: 2}? 1/66 Calculate prob of sequence bkrh when four letters picked without replacement from llhhrhrkhrrkrllb. 1/1092 What is prob of sequence fepf when four letters picked without replacement from {p: 1, f: 1, h: 2, e: 1, z: 1, n: 1}? 0 What is prob of sequence zh when two letters picked without replacement from {h: 3, z: 1}? 1/4 Calculate prob of sequence jw when two letters picked without replacement from jjjw. 1/4 What is prob of sequence eete when four letters picked without replacement from {e: 7, t: 7}? 35/572 Calculate prob of sequence byy when three letters picked without replacement from {b: 8, a: 7, y: 3}. 1/102 What is prob of sequence aga when three letters picked without replacement from {g: 2, j: 4, r: 4, a: 8, b: 1}? 56/2907 What is prob of sequence dddd when four letters picked without replacement from {d: 13, c: 6}? 715/3876 Calculate prob of sequence mf when two letters picked without replacement from ffmf. 1/4 Calculate prob of sequence dxdd when four letters picked without replacement from dxdd. 1/4 Four letters picked without replacement from {n: 2, u: 2, g: 2, v: 4, m: 2}. Give prob of sequence ungm. 2/1485 Four letters picked without replacement from {w: 9, l: 3, c: 7}. What is prob of sequence lwcl? 21/5168 Two letters picked without replacement from yayytyfaybayyab. Give prob of sequence bt. 1/105 Two letters picked without replacement from aauaahvchhaaachha. Give prob of sequence uh. 5/272 Four letters picked without replacement from {o: 17, d: 3}. Give prob of sequence ddoo. 4/285 Three letters picked without replacement from {o: 2, x: 3, n: 1, d: 3, r: 1}. Give prob of sequence rnx. 1/240 What is prob of sequence zaz when three letters picked without replacement from {z: 2, a: 1, n: 2, i: 8}? 1/858 What is prob of sequence se when two letters picked without replacement from {y: 5, n: 1, e: 4, u: 2, s: 2}? 4/91 What is prob of sequence iw when two letters picked without replacement from gwigiididxdiddi? 1/35 Three letters picked without replacement from {q: 1, m: 4, b: 6}. What is prob of sequence qmb? 4/165 Calculate prob of sequence dz when two letters picked without replacement from {f: 1, z: 1, b: 6, x: 1, d: 1, j: 3}. 1/156 Calculate prob of sequence pyya when four letters picked without replacement from hpyyffhlfhfalay. 1/2730 Four letters picked without replacement from {p: 4, q: 2, w: 1, c: 1}. Give prob of sequence cqqp. 1/210 Three letters picked without replacement from {c: 1, x: 2, w: 11}. Give prob of sequence xxc. 1/1092 Four letters picked without replacement from fpuzzuuzuu. Give prob of sequence uuzf. 1/84 What is prob of sequence sy when two letters picked without replacement from yyxxmdyysdyff? 5/156 What is prob of sequence xx when two letters picked without replacement from {x: 5}? 1 What is prob of sequence ii when two letters picked without replacement from nieeeenniinneei? 2/35 Four letters picked without replacement from mabiibmaieaymeb. Give prob of sequence ybai. 3/3640 Calculate prob of sequence af when two letters picked without replacement from fbadr. 1/20 Four letters picked without replacement from nobso. What is p
{ "pile_set_name": "DM Mathematics" }
Let z be t(-6). Let i = z - -26. Is i a prime number? False Suppose 97 = -4*z - 127. Let s be 2/(9/(-21) - 52/z). Suppose -10*q + 2454 = -s*q. Is q a composite number? False Suppose -20 = -j + 5*o, 0*j = -2*j + o + 4. Suppose 25*x - 6*x - 20083 = j. Is x composite? True Let z(b) = b**2 + 21*b + 518651. Is z(0) a prime number? False Let l be (5 + -1)/(8/8). Is (2 - l)/(4*2/(-22004)) prime? True Suppose -6337 = -3*j + 5*x, 5*x - 4*x + 5 = 0. Let k(h) = 527*h - 1. Let b be k(-2). Let o = j + b. Is o prime? True Let w(h) = 3665*h + 6908. Is w(75) composite? False Suppose 0 = -b - 2*w - 7355, 4*w + 36793 = -2*b - 3*b. Let g = b + 12312. Suppose -2*x + 5*x + 2*p - g = 0, 5*x = -3*p + 8252. Is x a prime number? False Let a = -62821 - -101766. Is a prime? False Let s(y) be the second derivative of y**4/4 - 3*y**3 + 83*y**2 - 271*y. Is s(-47) composite? False Let m = 69 - 43. Suppose -4*o - 3*u = -u - 48, -u - m = -3*o. Suppose 8872 = o*a - 2*a. Is a a composite number? False Let u(i) = 38*i**2 - 192*i + 455. Is u(-102) a prime number? True Let k(p) = 61769*p**2 + p + 11. Is k(1) a prime number? True Let g(q) be the first derivative of -41*q**2 + 83*q + 29. Is g(-9) prime? True Suppose 2*h - 575160 = 2*d, h - 188783 - 98805 = -3*d. Is h a prime number? False Let i = 35 + -14. Let c be 14*(10/(-4) - (41 + -43)). Is 4422/i - 3/c a composite number? False Suppose 0*w = -10*w + 623749 - 153339. Is w composite? False Let p(h) = 2*h + 58. Let g be p(-27). Suppose 2*c - 13058 = 4*b, g*c + 2*b - 26136 = 5*b. Is c a prime number? False Suppose 10*j = 5*j + 19230. Let f = j - -1157. Is f composite? False Let t(j) = -2054*j - 4. Let u be t(-13). Let f = -16166 + u. Suppose -f = 2*x - 6*x. Is x a prime number? True Suppose 20*t + 5*t = 81275. Is t prime? True Let s be 0 + (-1 - 0) + 11 + -37. Let u be ((-4)/(-3))/((-12)/s). Suppose 4*p + 5*l - 3560 = 0, -4*p - 314 = -u*l - 3906. Is p prime? False Let y be (-1)/(-3) - (1 + (-27468)/(-27)). Let h = y + 1805. Is h prime? True Let t = -1017142 + 1892391. Is t prime? False Let g be ((-2)/3)/((-2)/3). Let t(i) = 97*i**2 - 4*i + 1. Is t(g) composite? True Suppose 0 = -291*q + 287*q + 6692. Suppose 5*f = 5*d + f - 2081, 4*d + 5*f = q. Is d composite? True Let c(d) = -1195*d + 329. Is c(-24) prime? True Suppose 444797 = 5*b + 7*d, 29*b + 3*d = 24*b + 444773. Is b a prime number? True Let t be -3 - -2 - (-84)/4. Is 546 - 5/20*t composite? False Let k = 33 - 5. Let y = k + -19. Is -2*y/45*(-12895)/2 composite? False Let k = -21 + 23. Suppose 0 = -k*m - m + 45. Suppose -16*z = -m*z - 1679. Is z prime? False Let k be -2 - (3 - 2)*0/(-1). Let t be k/(386/97 - 4). Let a = 224 - t. Is a prime? True Let j(c) = -2*c**3 - 1. Let m be j(-1). Let h be -4 - (4 + -4 - m)*1. Is h - (-4 - 487 - 3) composite? False Suppose -g + 7*c = 5*c - 2, -17 = -g - 3*c. Let i(t) = -t**3 + 13*t**2 - 8*t - 5. Is i(g) a composite number? False Suppose -x - 3*x + 5963508 = -4*d, 4*d - 2981706 = -2*x. Is x composite? False Let w(p) = -p**3 + 8*p**2 - 6*p - 6. Let k be w(7). Is k/2*(-31)/((-186)/27684) prime? False Suppose 0 = -6*w + 9*w + 1221. Let j = w + 592. Suppose r - 2*p = j, -2*r + 224 = -p - 134. Is r prime? False Let m(u) = -u**3 - 10*u**2 + 17*u + 25. Let v be (0 + -26)*((-36)/8 + 5). Is m(v) prime? True Is 1015/(-290) + 1668221/2 a composite number? False Suppose 56 = -5*s - 3*n, 9 + 1 = -5*n. Let g be (-4 + (-1922)/s)*5. Suppose -3*b - 308 + g = 0. Is b a composite number? False Let u be (-2)/(-4)*(9 + -5). Let b be (u - -8)/((-6 - -3) + 5). Suppose b*g - 2*n - n = 1472, 0 = g + 3*n - 298. Is g prime? False Let g be 7/6*14*(-18)/(-6). Suppose -g*b = -48*b - 3067. Is b a prime number? True Let k(g) = -2*g - 2. Let o(t) = 756*t - 61. Let b(c) = 6*k(c) + o(c). Is b(6) a prime number? True Suppose -437*l + 63259851 = -213113728 - 100481674. Is l a prime number? True Let q = 230 - 231. Is (q - -179)*(6 - 3/(-6)) prime? False Suppose 0 = 3*u - 2*i + 131, -8*u + 7*u - i - 37 = 0. Let m = 252 + -176. Let h = m + u. Is h composite? True Let y(f) be the third derivative of -431*f**6/120 - f**5/60 - 17*f**2. Let k be y(-2). Suppose -2*v - 2*q = -k, 2*v + q + 1732 = 3*v. Is v prime? False Suppose -124271 + 40224 = -o. Is o a composite number? False Let q(k) = -k**2 - 5*k**3 - 1 - 4*k + 2*k**2 + 4*k**2 + 4*k**3. Let u be q(3). Is -673*(2 + 2 - u) a prime number? True Let b(y) = 69*y**2 + 83*y - 9. Is b(-35) prime? True Let j(m) = -m**3 + 11*m**2 - 9*m + 14. Let x be j(10). Suppose 0 = -5*p + 2*f + x, -12 = -4*p + 3*f + f. Let u(k) = 95*k - 19. Is u(p) prime? False Suppose -28951894 = -438*w - 8333482. Is w a prime number? False Let u be 3/6 + 58/4. Let v(k) = -k**2 + 15*k + 36. Let s be v(16). Is 1*(-4)/s - (-7818)/u a composite number? False Suppose -41*w = -13*w + 16*w - 14068604. Is w prime? False Let o be (25968/(-5))/3*(-175)/70. Let w(m) = m**3 + 6*m**2 + 2. Let u be w(-6). Suppose o = 10*n - u*n. Is n composite? False Let b = -28 + 32. Let q(j) = -16*j - 2. Let o be q(b). Let y = o + 385. Is y a composite number? True Let n(p) = 283*p**3 - 5*p**2 - 7*p - 9. Let q be n(4). Let v = 2250 + q. Is v prime? False Let i be (-7 + -43)/(1 - 152/150). Let p = i - 2207. Is p composite? False Let c(a) = 25*a**2 + a - 93. Let t be (1035/(-460))/(3/(-4) - -1). Is c(t) prime? False Is -1111*1*3/12*-1*4 composite? True Let r = 63960 - 38141. Is r prime? True Let p(u) be the third derivative of -u**5/30 + u**4/4 + 2*u**3 + 14*u**2. Let o be p(8). Let y = o + 207. Is y a prime number? True Suppose -2*v - 448772 = -2*j, 5276334 = 40*j + 2*v - 3699316. Is j a prime number? False Suppose -69*z + 64*z = -x + 12791, 5*z - 38333 = -3*x. Is x a prime number? True Is 282712 - ((-1)/1 - (-92 - -88)) a composite number? True Suppose 6 + 10 = 8*h. Suppose g + 0 - 2 = 5*i, h*i + 11 = -3*g. Let y(t) = -1656*t + 1. Is y(i) prime? True Let l = 12808 + 5931. Is l a composite number? True Let i = 16 - 50. Let x be 193/(-4)*i*2. Suppose 0 = 3*v + 5*c - x, -v - 4*c = 3*v - 4364. Is v a composite number? False Let g(i) = i**3 + 10*i**2 + 15*i. Let d be g(-8). Suppose -a + p = -1513, 4*a - 4*p = -d*p + 6084. Is a a composite number? True Let x = 47 - 54. Let p be -5*(168/(-20))/x. Is (-1604 - 2)/(p/3) a composite number? True Suppose 10670 = -f + 31007. Let i = -12520 + f. Is i composite? False Let w(k) = 3936*k - 37. Is w(29) composite? True Let f(z) = 10*z**3 + 16*z**2 - 9*z - 2. Let t(m) = m + 1. Let x(h) = f(h) + 6*t(h). Is x(9) a composite number? False Suppose -171*w = -157*w - 183302. Is w a composite number? False Let h(o) = -5*o**3 + 36*o**2 - 8*o + 9. Let s be h(7). Suppose 4*b - 2050 = s*b + x, 3*x = -3*b + 3093. Is b a composite number? True Suppose -23*l + 148503 = 16*l - 36*l. Is l prime? False Let z(y) = -3*y**3 - 85*y**2 + 141*y + 201. Let o(q) = -q**3 - 28*q**2 + 47*q + 67. Let p(f) = 7*o(f) - 2*z(f). Is p(-28) a composite number? True Suppose 45*u - 13*u = 64. Suppose 2*b - 39145 = -y, -u*y = y - 5*b - 117391. Is y composite? True Suppose 4*h + 2119 = -31665. Let y be h/(-6) + (-38)/57. Suppose y = 4*t - t. Is t prime? False Let w = -999 - -3032. Suppose 12264 = 4*i - b, -i + w = -5*b - 1014. Is i prime? True Let d(r) = -163*r - 11. Let x be ((-2)/5)/(12/(-720)). Suppose 0 = 19*c - 15*c + x. Is d(c) a prime number? True Let v = 64 - 64. Suppose 2*j + 6 - 2 = v. Is -393*(-3 + 39/9 + j) composite? True Let k be 2/(-4) - (-5)/2. Let l be (122/4)/(21/10962*9). Suppose 5*p - 4445 = -k*z, l = 2*p - 2*z + z. Is p a composite number? False Suppose 3*l + 0*l - 12 = 0. Let o be ((-5)/((-25)/30))/(l/998). Is (o/(-9) + -1)*(-12)/8 prime? True Let i = -472 + 489. Suppose -20*l + 28629 = -i*l. Is l a prime number? False Let h = 48 - 36. Suppose 3*i + h = 6*i. Let w = 50 - i. Is w a composite number? True Let n(i) = 7251*i**2 - 770*i + 3818. Is n(5) prime? True Suppose -4*o + 160007 = -658717. Is 5/(60/o) + 2/8 a prime number? False Let q be 22259/9 + (-14)/63. Suppose 323 - q = -2*v. Let r = -518 + v. Is r a composite number? False Suppose -8*z - h = -352158 - 935452, -2*z - h = -321904. Is z composite? True Let x(h) = -11*h**3 - 66*h**2 + 70*h - 250. Is x(-41) composite? True Let b be (-111)/(-9)*3 + (0 - -2). Let u = b + -42. Let l(g) = 260*g**2 - 7. Is l(u) prime? True Let s(
{ "pile_set_name": "DM Mathematics" }
t is o(t(k))? -5*k**4 Let w(y) = -y + 1. Let p(v) = -4*v**2 + 4*v - 4. Let f(g) = -p(g) - 4*w(g). Let l(q) be the second derivative of 7*q**3/6 + 12*q - 4. Give f(l(u)). 196*u**2 Let p(j) = -2*j + 3*j - 3*j. Let n be 0/(-3) + -1 + 6. Let y(d) = -n*d**2 - d**2 + 2*d**2. What is y(p(w))? -16*w**2 Let g(m) = 2*m**2 + 13*m**2 + 5*m**2 - 2*m**2 - 38*m**2. Let t(s) = -8*s**2. What is g(t(f))? -1280*f**4 Let g(i) be the second derivative of i**4/12 - 10*i - 1. Let r(l) = -85*l**2. Determine r(g(o)). -85*o**4 Let n(p) = 9*p. Let x(g) = -g**2 + 1. Let f(l) be the first derivative of 2*l**3 - l - 20. Let h(a) = f(a) + x(a). What is n(h(w))? 45*w**2 Let m(w) = 13*w. Let f(l) be the first derivative of l**3/3 - 39*l + 39. Let b(x) be the first derivative of f(x). What is b(m(y))? 26*y Let f be 12/42 + 40/7. Let l(j) = 175*j - 65. Let n(d) = -8*d + 3. Let x(p) = f*l(p) + 130*n(p). Let i(z) = 4*z - 2*z + 0*z - 4*z. Give x(i(o)). -20*o Let u(a) = 2*a. Let f(q) = 280*q + 63. Let x(s) = -9*s - 2. Let l be 1 + 16/(-4) + 15. Let v = -8 + l. Let z(y) = v*f(y) + 126*x(y). What is z(u(b))? -28*b Let y(u) be the first derivative of 2*u**2 + 6*u + 119. Let f(j) = -j. Determine f(y(z)). -4*z - 6 Let s(c) = 392*c. Let f(d) = 238*d**2 + 2*d. Determine s(f(q)). 93296*q**2 + 784*q Let n = -65 - -64. Let o(x) = -x - 2. Let d(l) = l + 1. Let y(u) = n*o(u) - 2*d(u). Let h(r) = 3*r**2. Determine h(y(s)). 3*s**2 Let q(t) = -2*t**2 - t**2 + 2*t**2. Suppose 0 = -9*a + 7*a + 26. Let g(s) = 5*s + 6*s - a*s. Determine q(g(n)). -4*n**2 Let o(r) = r**2 - 2 + 2. Let z(x) be the first derivative of -x**6/60 - x**3/3 - 11*x**2 - 21. Let u(a) be the third derivative of z(a). Determine u(o(g)). -6*g**4 Let r(o) = 15*o - 2. Let l(k) = 5*k - 14*k + k + 6*k. What is r(l(u))? -30*u - 2 Let w(c) = 9264*c**2. Let j(u) = -4*u**2 - 3. Calculate j(w(k)). -343286784*k**4 - 3 Let n(b) = 85399*b**2. Let i(f) = 12*f**2. Determine n(i(o)). 12297456*o**4 Let q(v) be the first derivative of -v**2/2 - 21. Let m(x) be the first derivative of 43*x**3/3 - 3. What is m(q(r))? 43*r**2 Let f(m) = m**2 + 8*m + 2. Let l(h) = 9*h**2 + 66*h + 17. Let v(r) = 51*f(r) - 6*l(r). Let o(g) = 2*g**2. Give v(o(i)). -12*i**4 + 24*i**2 Let p(y) = -y**2 + y - 1. Let w(g) = g**2 - 3*g + 3. Let q(d) = -6*p(d) - 2*w(d). Let h(t) = 5*t - 5*t + 4*t. Give q(h(z)). 64*z**2 Let m(y) = -8*y**2 - 5*y + 48. Let x(c) = -13*c**2 - 8*c + 72. Let f(h) = -8*m(h) + 5*x(h). Let b(v) = -2*v**2. Calculate b(f(z)). -2*z**4 - 96*z**2 - 1152 Let b(r) = -23550*r**2 - 1. Let i(u) = -u. What is i(b(k))? 23550*k**2 + 1 Let k(o) = 4*o. Let s(r) be the third derivative of 0*r**4 + 0 - 1/30*r**5 - 8*r**2 + 0*r**3 + 0*r. What is k(s(a))? -8*a**2 Suppose -m + 14 = -3*w - 5*m, m + 9 = 2*w. Let b(a) be the first derivative of 4*a**2 - 5*a**w + 1 - a**2 + 4. Let u(t) = 2*t. What is u(b(c))? -8*c Let r(u) = 51*u**2 - 7*u. Let z be (-6)/(-15) - (-66)/10. Let h(o) = -17*o**2 + 2*o. Let x(k) = z*h(k) + 2*r(k). Let t(l) = l. Determine t(x(j)). -17*j**2 Let j(x) = 17*x + 6. Let z(s) = 19*s + 9. Let i(w) = 4*j(w) - 3*z(w). Let m(o) = -3*o. Determine m(i(p)). -33*p + 9 Let a(n) = -8*n. Let b(h) be the second derivative of h**5/60 - 23*h**3/3 - 43*h. Let d(w) be the second derivative of b(w). Calculate a(d(m)). -16*m Let n(g) = g**2. Suppose 0 = -3*w + 16 + 20. Let x(h) = -w*h + 2*h - 5 + 5. What is n(x(t))? 100*t**2 Let c(x) = x**2. Let i(q) = q**2 - 2. Let g(z) = -1. Let s(h) = -3*g(h) + i(h). Let b be s(1). Let a(l) = -l**2 + 4*l**2 - b*l**2. What is c(a(w))? w**4 Let y be ((-2)/(-3))/(3/18). Let u(v) = -y + 2 + 2*v + 2. Let b(i) be the first derivative of -5*i**3/3 + 1. Calculate b(u(m)). -20*m**2 Let n(d) = 54 + d - 54. Let o(c) = -2*c**2 - 130*c. Determine o(n(s)). -2*s**2 - 130*s Let s(q) = -14*q**2. Suppose c + 4*h - 5 = 0, 4*c + 11*h - 12*h = 37. Let m(k) be the first derivative of 0*k + c - 3/2*k**2. Calculate m(s(t)). 42*t**2 Let q(h) = 4*h - 19. Let r be q(6). Suppose 0 = -4*t - 4*i, -3*t + 3 = 4*i + r. Let f(c) = -3*c**t + 2 - 4 + 2. Let y(k) = 7*k. Give y(f(o)). -21*o**2 Let h(u) = -3*u. Let g = 20 + -6. Let f(s) = -2*s**2 + 8*s**2 + g*s**2. Determine h(f(n)). -60*n**2 Let z(r) = -3*r. Let q(l) = l**2 + 4*l - 2. Suppose 0 = -2*k + 3*k + 5. Let h be q(k). Let i(u) = -4*u**2 + 3 - h + 0. Give z(i(o)). 12*o**2 Let n(i) = 4*i - 4. Let q(d) = -d. Let r(b) be the first derivative of 3*b**2 + 18. Let f(w) = 5*q(w) + r(w). What is f(n(s))? 4*s - 4 Let i(q) = 31*q + 21*q - 64*q. Let y(p) be the first derivative of 0*p**2 - 1/3*p**3 + 0*p + 1. Calculate i(y(s)). 12*s**2 Let p(s) = -s. Let y(f) = -11*f. Let q(z) be the second derivative of 143*z**3/6 - 5*z. Let r(v) = 5*q(v) + 66*y(v). What is r(p(l))? 11*l Let h(b) = -585*b. Let f(k) = 2*k. Determine h(f(l)). -1170*l Let p(i) = 78*i - 1. Let a(u) = 1776*u. What is a(p(f))? 138528*f - 1776 Let y(q) = 184*q**2 - 123*q. Let r(x) = -5*x. Calculate r(y(m)). -920*m**2 + 615*m Let v(q) = -4*q**2 + 18*q - 4. Let g(b) = -9*b**2 + 30*b - 7. Let l(f) = 3*g(f) - 5*v(f). Let r(u) = u. Calculate l(r(a)). -7*a**2 - 1 Let y(l) = -122*l**2 - 2*l. Let i(v) = -97*v - 96*v - 95*v + 286*v. Determine i(y(g)). 244*g**2 + 4*g Let a(d) = -d. Let x(c) = 2253602*c. What is a(x(m))? -2253602*m Let n(x) = 14*x. Let u(l) = -11*l - 89 - 101 + 190. Calculate n(u(t)). -154*t Let o(j) = -3*j**2. Let z(s) = s**2 - 2*s. Let q(m) be the first derivative of m**2/2 - 15. Suppose 2*t = t + 1. Let x(g) = t*z(g) + 2*q(g). Determine o(x(i)). -3*i**4 Let a(p) = -37101*p. Let f(q) = q**2. What is a(f(u))? -37101*u**2 Let d(w) = -6*w - 3. Let k(r) = 487*r - 909*r + 446*r. Determine k(d(y)). -144*y - 72 Let h(n) = 15 - 6 - n + 4. Let g be h(10). Let x(z) = -2*z**2 + 4*z**2 - g*z**2. Let i(q) = q. What is i(x(m))? -m**2 Let y(w) = -1218*w**2 - 2*w + 9. Let p(i) = 3*i**2. What is y(p(k))? -10962*k**4 - 6*k**2 + 9 Suppose -5*x + 185 = 5*i, 69 = 2*x + 7*i - 6*i. Let y(s) = 104*s - 34*s - x*s - 33*s. Let r(g) = -3*g. What is r(y(j))? -15*j Let a(h) = 24*h - 7*h - 54 - 58 + 112. Let x(j) = -j**2. Give a(x(l)). -17*l**2 Let v(z) = 2*z**2. Let m(s) = 4*s**2. Let t(g) = -12*g**2. Let q(j) = -21*m(j) - 6*t(j). Give v(q(a)). 288*a**4 Let c(q) = 10906*q - q**2 - 4*q**2 - 10906*q. Let z(v) = -2*v + 1. Give c(z(y)). -20*y**2 + 20*y - 5 Let p(n) = 2440 + 2*n + 2435 - 4872. Let g(a) = -4*a**2. Calculate p(g(d)). -8*d**2 + 3 Let l(w) be the first derivative of -1/120*w**5 + 0*w + 2*w**3 + 0*w**4 + 0*w**2 + 5. Let z(f) be the third derivative of l(f). Let s(g) = -g. Give s(z(x)). x Let j(n) be the third derivative of -n**7/840 - 31*n**4/24 + 21*n**2. Let x(f) be the second derivative of j(f). Let a(w) = 38*w. What is a(x(q))? -114*q**2 Let q(u) = -381*u**2 + 191*u**2 + 191*u**2. Let x(l) = 72*l. Calculate x(q(w)). 72*w**2 Let d(r) = 42*r**2 + 3. Let t(f) be the third derivative of -f**4/24 + 131*f**2. Determine t(d(c)). -42*c**2 - 3 Let a(s) = 2*s. Suppose 4*x + l + 20 = 0, -4*x + 2*l = -3*l - 4. Let m be 6/x*(-160)/30. Let c(v) = 6*v - m*v + 3*v**2 + 2*v. Give c(a(f)). 12*f**2 Let h(t) = -13*t - 18. Let r(w) = 3*w + 4. Let g(q) = 2*h(q) + 9*r(q). Let p(d) = 60*d**2. Determine p(g(a)). 60*a**2 Let y(s) = 9*s**2 - 11. Let l(m) = 3*m**2 - 4. Let x(g) = -11*l(g) + 4*y(g). Let c(u) = -9*u + 10*u - 8*u. Calculate c(x(h)). -21*h**2 Let j(x) be the second derivative of 5/2*x**2 - 7/24*x**4 + 0 - x + 0*x**3. Let g(z) be the first derivative of j(z). Let w(d) = d. What is w(g(p))? -7*p Let w(f) be the third derivative of 49*f**4/24 - f**3/3 + 6*f**2 - 16. Let m(x) = x**2. What is w(m(g))? 49*g**2 - 2 Suppose 4*y + p = 5*y - 8, y - 4*p - 20 = 0. Let o(b) = -y*b - b - 3*b + 10*b. Let m(g) = -5*g. What is m(o(w))? -10*w Let v(c) be the third derivative of c**6/360 + 5*c**3/6 - 10*c**2. Let h(m) be the first derivative of v(m). Let x(p) = p**2. Calculate x(h(j)). j**4 Let x(l) = -25*l - 1. Let f(p) = -4*p**2 + 13*p**2 + 4 - 6*p**2 - 4. What is x(f(m))? -75*m**2 - 1 Let j(z) = 1. Let v(t) = t - 4. Let d(b) = -12*j(b) - 3*v(b). Let f(r) = 4*r**2 + 3. Let a(l) = -5*l**2 - 2. Let s(q) = -3*a(q) - 2*f(q). Give s(d(k)). 63*k**2 Let d(k) = -2*k - 2*k**2 + 2*k. Let j(p) = -3*p. Let l(n) be the first derivative of 4*n**2 + 5. Let h(q) = 14*j(q) + 5*l(q). Calculate h(d(y)). 4*y**2 Let y(o) = -2*o
{ "pile_set_name": "DM Mathematics" }
e highest common factor of u and 23. 23 Let f(d) = -d**3 - d**2 - 3*d - 3. Let c be f(-3). Calculate the highest common divisor of c and 36. 12 Suppose 9*a - 1495 = -55. What is the highest common divisor of a and 64? 32 Let p(w) = w - 4. Let l be p(4). Suppose 2*k + 2*d - 16 = -l*k, 0 = -3*k + 2*d + 4. Suppose 0 = -k*s + s + 36. What is the highest common factor of 84 and s? 12 Suppose -89 = -4*f - 29. What is the highest common divisor of f and 3? 3 Let y(z) = 18*z - 6. Let d be y(3). What is the highest common divisor of 12 and d? 12 Let y = -19 - -13. Let p be (0 + 1)/(y/(-48)). Let z be 2 - (1 + -70 + -1). What is the greatest common divisor of p and z? 8 Let c = 210 + -336. Let b = c + 181. Suppose 0 = -3*m - 2*m + b. Calculate the greatest common divisor of 121 and m. 11 Let d = 46 + 100. Suppose 0 = 3*t - 2*u + 134, 2*u + d = -4*t - 28. Let a be (-4)/(-2) - t/2. What is the greatest common divisor of a and 60? 12 Suppose 117 - 21 = 2*w. What is the highest common factor of 12 and w? 12 Let f be (2*(-3)/6)/(-1). What is the greatest common divisor of 1 and f? 1 Let q(v) = -v**3 + 9*v**2 - 5*v. Let k be q(7). Calculate the highest common factor of 9 and k. 9 Let p = 14 + -1. Let i be (0 - (1 + 51))*-1. What is the greatest common factor of p and i? 13 Suppose -10*j + 10 = -0. Calculate the highest common divisor of 2 and j. 1 Let l = 7 + 5. Suppose -5*q - 2*j = -428, 0 = -q + 2*j + 3*j + 64. Calculate the greatest common factor of q and l. 12 Suppose 35 = -5*g - 5*h, 5*g + 33 = 2*h - 37. Suppose 5*d + 102 = 12. Let a = g - d. What is the greatest common divisor of 24 and a? 6 Suppose 3*t = 5*t - 2*z - 62, -t = 4*z - 31. Calculate the highest common factor of t and 279. 31 Suppose -4*t + 0*t - 80 = 0. Let v = t - -31. Calculate the greatest common factor of 44 and v. 11 Suppose -3*m - 40 = -3*r + 5, -3*m - 27 = -2*r. What is the highest common divisor of r and 90? 18 Let v(w) = w**3 + 15*w**2 - 16*w - 2. Let j be v(-16). Let m be (0 - 1) + j + 6. Calculate the highest common divisor of m and 9. 3 Suppose 15 = 3*q, -6*l + 305 = -2*l - 3*q. Let z = 22 - 12. Calculate the greatest common divisor of l and z. 10 Let q be -6 - -2 - -70*1. What is the highest common factor of 6 and q? 6 Let k = -15 - -19. Suppose -2*x = k*h - 656, -5*h = -x + 3*x - 821. Calculate the highest common divisor of 15 and h. 15 Suppose -k - 4*s = -0 - 20, 2*k + 4 = 3*s. Let x be (-17)/18*-4 + (-2)/(-9). Calculate the greatest common divisor of x and k. 4 Suppose -2*o - 394 = -5*t, 5*t - t - 329 = -3*o. Calculate the highest common divisor of t and 20. 20 Let v be (-1)/1 + -1 + 4. Let u(n) = 8*n**2 + 2*n. Let z be u(v). What is the greatest common factor of 9 and z? 9 Suppose -1 = 2*v + 1, 0 = u - v - 11. Calculate the highest common factor of u and 40. 10 Let d(w) = 8*w**3 - 3*w**2 + 3*w - 2. Suppose 2*x - 1 = 9, -x = 2*n - 9. Let k be d(n). Calculate the highest common divisor of 7 and k. 7 Let h be (0 - 3)/(36/(-132)). Suppose 0 = 2*q + 3*q - 5. What is the highest common divisor of h and q? 1 Suppose 0 = -2*r + 6*r - t - 17, 3*r - 14 = t. Suppose 8*h = r*h + 275. Calculate the highest common divisor of h and 5. 5 Let k be 178/6 - 2/3. Let x = 63 + -34. Calculate the highest common divisor of k and x. 29 Let k(b) = 2*b**2 - 9*b + 20. Let p be k(8). Suppose -11 = -2*j - 3. Suppose 4*w - p = -j. What is the greatest common factor of 144 and w? 18 Let h = 29 + 71. What is the greatest common factor of h and 10? 10 Suppose 0 = m - v - 30 - 56, 3*m - v = 248. What is the highest common factor of m and 54? 27 Let g be 1*9 - (3 - 4/2). Calculate the highest common factor of g and 16. 8 Suppose 2*m + f - 18 = -m, 0 = -4*m - 4*f + 16. What is the highest common factor of m and 77? 7 Let k(j) = -3*j - 8. Let r be k(-11). Calculate the greatest common factor of 10 and r. 5 Let j be 1 - -1*(-3 - -5). Suppose 2*v + 0*v = q + 5, -35 = -j*q - 4*v. Calculate the highest common factor of q and 5. 5 Let c be (-2)/(2/(-3)) - -2. Suppose k + 49 = c*a - 2*k, -4*a = 3*k - 50. Suppose -275 = -0*h - 5*h. Calculate the highest common divisor of h and a. 11 Let v be ((-1)/(-2))/(-2 - (-29)/14). Calculate the greatest common divisor of 56 and v. 7 Let x = 20 + -56. Let q = -20 - x. What is the highest common divisor of 96 and q? 16 Let v(g) = -g**2 + g + 2. Let o be v(2). Suppose o = 2*l - 0*l - 32. Calculate the highest common factor of 16 and l. 16 Let w(s) = -8*s - 8. Let f(p) = 23*p + 24. Let d(k) = -3*f(k) - 8*w(k). Let z = 5 + -11. Let o be d(z). What is the highest common divisor of 55 and o? 11 Let z = -75 - -79. Calculate the highest common divisor of 2 and z. 2 Suppose -a + 96 = 3*a. Calculate the highest common divisor of a and 16. 8 Let t be (22*-8)/(1/(-1)). Let o(x) = 4*x + 6*x - 5*x + 3*x. Let q be o(2). Calculate the highest common divisor of t and q. 16 Let f = 81 - 53. Suppose 0 = -2*o - 10, 2*o = y + o - f. Calculate the greatest common divisor of 161 and y. 23 Let z = 55 - 40. Calculate the greatest common divisor of 6 and z. 3 Let s = -237 - -356. Calculate the highest common divisor of 17 and s. 17 Let z = -15 + 18. Let h be (2/z)/(1/126). Calculate the highest common divisor of h and 21. 21 Let p(x) = 18*x + 2. Let r be p(1). What is the highest common factor of 20 and r? 20 Let b be 2166/15 - (-8)/(-20). What is the greatest common divisor of b and 16? 16 Let k = 71 + -39. Let m = -9 - -5. Let c be (81*-4)/m - 1. Calculate the greatest common factor of k and c. 16 Suppose -2*l - f + 48 = 2*l, -43 = -3*l + f. Let o(x) = 3*x + 3. Let j be o(-3). Let m = j + l. What is the greatest common divisor of m and 28? 7 Suppose 5*b - 36 = 24. Let f(u) = -u**3 - 5*u**2 - u + 7. Let s be f(-5). What is the highest common factor of b and s? 12 Let d be 2/(-1)*-1*9. Let h = 33 - d. What is the greatest common factor of h and 75? 15 Let z be 7 - (-4 + 8) - 1. What is the highest common factor of z and 8? 2 Let y be (-2)/(-4)*10 - -1. Calculate the greatest common factor of y and 66. 6 Suppose 0*c = 5*c - 255. Suppose 5*w = 69 + c. What is the greatest common factor of w and 4? 4 Suppose 0 = a - 4*a + 66. Let y(t) = 3*t**2 + 22*t - 31. Let k be y(5). What is the highest common factor of a and k? 22 Suppose 0 = n + 2*n + 9. Let t = 1 - n. Suppose 0*u - t*u + 80 = 0. Calculate the highest common divisor of 20 and u. 20 Let z = 9 + -4. Suppose z*g - 175 = -2*q - 3*q, 2*g - 76 = -5*q. Suppose 2*c - 6 + 0 = 0. Calculate the greatest common divisor of g and c. 3 Let q(f) = -f - 3. Let d be q(0). Let u be d - -2 - (1 - 0). Let m be u/(2 - (-39)/(-18)). What is the highest common factor of 84 and m? 12 Suppose 0 = -3*w + 13 + 50. Calculate the greatest common divisor of w and 105. 21 Let i(j) = -2*j - 4. Let f be i(-4). Let y be 1*f*55/20. Calculate the greatest common divisor of y and 11. 11 Suppose -4*n + 34 = 2. Calculate the greatest common factor of n and 88. 8 Let k(v) = v**3 + 8*v**2 + 7*v + 1. Let p be k(-7). Let m(x) = x**2 - 6*x + 1. Let r be m(6). Calculate the greatest common factor of r and p. 1 Suppose -4*m = 4*o - 32, m + 9 = -2*o + 20. Suppose 5*t + 55 = o*x, 5*t + 36 + 49 = 5*x. Calculate the highest common divisor of x and 6. 3 Let k(z) = -3*z - 6. Suppose -2 = -3*t - 23. Let q be k(t). Suppose -3*v + 3*r = -v - 45, -v = 2*r - 40. Calculate the greatest common factor of q and v. 15 Let v be (1 - -4)/((-1)/(-7)). Let y = 35 - 21. What is the highest common factor of v and y? 7 Let o be (9/((-18)/68))/((-2)/1). What is the highest common divisor of 187 and o? 17 Let t be 8 + -2 + (4 - 1). Let r be 74/(-10) - 8/(-20). Let p(u) = -14*u + 1. Let w be p(r). What is the greatest common factor of t and w? 9 Let y be 4/(16/4) - -6. What is the greatest common divisor of 77 and y? 7 Suppose -2*g + 189 = 5*n, 4*n - 33 = 3*n - 2*g. Suppose 2*y - 76 = -3*v, 2*v - 4*v + 5*y = -57. Calculate the greatest common factor of v and n. 13 Suppose t = 6*t - 50. Suppose 3*w - 2 - 4 = 0. Suppose w*g = 3*g - 70. Calculate the highest common factor of t and g. 10 Suppose -7*h + 16 = -327. Calculate the highest common divisor of 7 and h. 7 Let p(c) = 2*c**2 + 9*c + 9. Let t be p(-7). Let f(u) = -3*u - 7 + 0*u**2 + u**2 + 0*u**2. Let g be f(6). Calculate the greatest common factor of g and t. 11 Let
{ "pile_set_name": "DM Mathematics" }
36631 Convert -23525b (base 12) to base 3. -1001220100022 Convert -c42a (base 14) to base 2. -1000001111010110 What is -247801 (base 9) in base 15? -2e714 Convert -7ea86 (base 16) to base 7. -4260336 Convert 1200344343 (base 5) to base 8. 12364740 Convert -2653011 (base 9) to base 12. -5a046a -121322104 (base 5) to base 7 -4605506 Convert -39626 (base 10) to base 3. -2000100122 Convert -52e4 (base 16) to base 9. -32087 -516366 (base 13) to base 6 -104410423 -7b728 (base 16) to base 4 -1323130220 33c6c6 (base 14) to base 9 3276336 -332145b (base 12) to base 13 -203412b Convert -101340116 (base 7) to base 2. -10110101010110100001001 What is -104743 (base 8) in base 6? -431231 Convert -93c860 (base 16) to base 15. -cb49c8 What is -16015061 (base 7) in base 14? -2bcc68 What is 31022233 (base 4) in base 14? 15927 What is -14f95 (base 16) in base 6? -1501421 What is bb35b (base 13) in base 9? 565818 Convert -221310023 (base 4) to base 10. -171275 Convert 1002010222210 (base 3) to base 10. 573717 What is 1446541 (base 8) in base 7? 3340104 Convert -124213144 (base 5) to base 12. -258a56 Convert -3208725 (base 10) to base 13. -884670 b8c5a (base 13) to base 7 2560216 -74 (base 14) to base 12 -86 33425422 (base 6) to base 4 3313232312 What is 54524404 (base 6) in base 15? 22290d -301c (base 13) to base 16 -19d8 What is 8868b3 (base 13) in base 6? 152513212 What is -81087 (base 10) in base 3? -11010020020 582648 (base 11) to base 12 38793b What is -961639 (base 12) in base 3? -11110020021200 What is -1a1847 (base 14) in base 13? -265855 What is 2478b (base 12) in base 11? 3420a -110142343 (base 5) to base 12 -1aa883 827516 (base 12) to base 14 3b336a What is -27592 (base 13) in base 12? -36621 Convert 312110131 (base 4) to base 3. 102022012111 Convert 100212222110 (base 3) to base 11. 123255 -111102030 (base 6) to base 8 -7536342 Convert -20000201120222 (base 3) to base 16. -30df70 -1806471 (base 10) to base 9 -3353010 Convert 87312 (base 13) to base 9. 412213 -120010111 (base 4) to base 7 -560260 Convert b9ada (base 16) to base 5. 143314123 What is -10000010010010010111 (base 2) in base 4? -2002102113 Convert -2721900 (base 10) to base 7. -32064366 Convert 2233213332 (base 4) to base 5. 141004413 -17287033 (base 10) to base 12 -59580a1 11433893 (base 10) to base 15 100cc48 Convert 2357163 (base 12) to base 15. 900059 What is 112b0 (base 15) in base 4? 31111113 -100010101 (base 4) to base 8 -200421 Convert 113144 (base 9) to base 6. 1242234 Convert 100100101101111111001 (base 2) to base 15. 18b77d Convert 450355543 (base 6) to base 9. 16300580 Convert -1111011011110111100 (base 2) to base 5. -112141123 -2635825 (base 11) to base 5 -2131423001 Convert 23ab23 (base 14) to base 15. 191983 Convert b3b59 (base 13) to base 4. 1032302013 313311104 (base 5) to base 2 100111111000110010101 Convert 838335 (base 9) to base 12. 200372 What is -1230405 (base 9) in base 10? -669551 -10100001110100110 (base 2) to base 5 -10122404 Convert eb6eb0 (base 15) to base 8. 52611652 Convert 112120122101 (base 3) to base 4. 1012003312 What is 2636a (base 15) in base 13? 4386a 101120220 (base 4) to base 6 1305400 1fa0a (base 16) to base 15 285b6 Convert -21111444 (base 7) to base 3. -10100122220010 Convert bd0c8a (base 16) to base 14. 19071b4 Convert -111110310010 (base 4) to base 15. -7565a1 What is 38a15b (base 16) in base 6? 211314015 Convert -892691 (base 16) to base 4. -202102122101 What is 6001a1 (base 11) in base 2? 11101011111110001010 What is -42635236 (base 7) in base 5? -1412424410 100101121100 (base 3) to base 8 551056 12331111013 (base 4) to base 3 10102200011012 What is -1011760 (base 10) in base 15? -14ebaa Convert 25514613 (base 7) to base 12. 940703 123132300 (base 4) to base 13 3c306 -4111442 (base 5) to base 3 -10101012212 Convert 4134011102 (base 5) to base 3. 120222212212121 Convert -330007 (base 8) to base 15. -22b84 Convert -4041866 (base 9) to base 2. -1000001101101111100101 -b3ba69 (base 15) to base 8 -40460332 Convert 1331150402 (base 6) to base 15. 1615d75 -25417 (base 8) to base 13 -502c 715717 (base 8) to base 12 b4a3b Convert -b29b5 (base 12) to base 5. -24423420 -26c19 (base 14) to base 3 -11212020101 Convert 2b6851 (base 13) to base 11. 671a21 221303231 (base 4) to base 15 35b15 -24505344 (base 7) to base 6 -115121523 What is 191966 (base 11) in base 16? 48190 -138e3e (base 15) to base 7 -11000531 Convert -63977 (base 11) to base 14. -25c7a What is 5841a2 (base 11) in base 7? 10613236 Convert 1270670 (base 9) to base 15. db360 Convert -202723 (base 8) to base 10. -67027 Convert 2134430 (base 6) to base 11. 72706 -127429 (base 12) to base 15 -5eba9 33311113 (base 6) to base 7 11353020 What is -682718 (base 9) in base 16? -63cf8 -33424430 (base 8) to base 6 -414423304 What is -20313120002 (base 4) in base 7? -25516265 Convert -334832 (base 10) to base 12. -141928 6639 (base 13) to base 6 145540 What is 61681 (base 9) in base 15? c0a4 Convert 107345 (base 11) to base 16. 29b1c Convert -10040213 (base 5) to base 13. -2a955 -21311242 (base 5) to base 8 -543470 Convert -42422 (base 9) to base 3. -1102110202 446771 (base 14) to base 13 6343c3 What is 121012100221 (base 3) in base 4? 1031311321 Convert 101000011010000101 (base 2) to base 14. 44461 What is 29479 (base 15) in base 5? 13221024 -129247 (base 12) to base 9 -516021 Convert 50851 (base 11) to base 13. 27a2c What is 12033211312 (base 4) in base 11? a18773 What is -12010011212020 (base 3) in base 9? -5104766 Convert 840801 (base 9) to base 14. cdd53 -1011000010110000101100 (base 2) to base 11 -16a7a80 What is -41440300 (base 7) in base 12? -1202b94 12715 (base 15) to base 5 3341340 Convert -178aa (base 11) to base 5. -1300141 6a729 (base 11) to base 9 164861 What is 306777 (base 13) in base 6? 40103450 Convert -3143013 (base 5) to base 14. -153b5 100201200110 (base 3) to base 9 321613 What is 101002020010 (base 3) in base 11? 126112 154003162 (base 7) to base 4 213133320322 10001001001100110 (base 2) to base 11 48860 What is -252d (base 15) in base 9? -11767 What is 221531 (base 9) in base 16? 2051e 25b0d (base 16) to base 5 14420011 What is -203042024 (base 5) in base 6? -25450413 Convert 24e56c (base 15) to base 11. aa9693 What is 453076 (base 14) in base 4? 20332021200 What is 741167 (base 8) in base 13? 881c2 3238472 (base 10) to base 4 30112221020 What is 144433344 (base 5) in base 11? 493422 Convert 6752104 (base 11) to base 3. 211021011102201 6831203 (base 11) to base 6 1104225305 111010002102201 (base 3) to base 5 3241011211 Convert 1d181 (base 14) to base 8. 221235 What is -13634030 (base 7) in base 14? -2568c0 Convert -10002002022212 (base 3) to base 7. -16620614 Convert -1000011001100101011110 (base 2) to base 16. -21995e What is -10a8a (base 12) in base 11? -15817 What is -5147d (base 15) in base 16? -3edee Convert -22445556 (base 7) to base 14. -390a2d Convert -5c39ba (base 16) to base 9. -12331835 Convert 1963758 (base 10) to base 12. 7a8526 What is 1214578 (base 9) in base 10? 659492 Convert 530763 (base 9) to base 15. 6376c What is -253634 (base 7) in base 2? -1011011101110111 Convert 64060332 (base 7) to base 3. 101012200122220 What is -23535 (base 9) in base 12? -9142 What is -730845 (base 11) in base 14? -227317 Convert 20bd1 (base 14) to base 4. 103111003 Convert 2344252 (base 10) to base 11. 13612a9 1384548 (base 9) to base 15 10177b What is 10001011111011000111 (base 2) in base 9? 1063157 What is -101220250 (base 6) in base 7? -20554026 Convert 4224344 (base 5) to base 6. 1302503 92655 (base 14) to base 12 14bb97 -210311200 (base 4) to base 2 -100100110101100000 24173 (base 12) to base 5 3023430 349068 (base 14) to base 8 6653664 Convert 129992 (base 11) to base 12. 99926 What is 2b3c0a (base 13) in base 4? 10010012222 What is -28937 (base 12) in base 15? -11baa Convert -1a7160 (base 11) to base 4. -1031120211 210122221210201 (base 3) to base 13 250183c 352467 (base 11) to base 8 2104731 What is -3513c (base 15) in base 2? -101001010001001000 Convert 181998 (base 11) to base 8. 1044202 What is -11040103 (base 5) in base 11? -66376 Convert 4000ed (base 15) to base 8. 13455033 Convert 14112140 (base 7) to base 15. 1ae575 Convert -100001000110011000010100 (base 2) to base 8
{ "pile_set_name": "DM Mathematics" }
k(17). Which is the closest to s? (a) v (b) 1/6 (c) 0.2 b Let x = 46.9 - 49.9. Let p be (-136)/(-32) + 1/(-4). What is the closest to -1 in p, -1/5, x? -1/5 Let d = 0.064 + -0.444. Let o = 0.42 + d. Let y = -0.26 - o. Which is the closest to 0.2? (a) 2/5 (b) y (c) 2/3 a Let f = 5 - 4.7. Let s = -23.6 - -24. Let d = -536/5 - -108. What is the nearest to 1/6 in d, s, f? f Let u be (-2)/2 + 2/2. Suppose j = 5*r - 80, 3*r - 102 = 4*j + 184. Let o be (0 - j/(-44)) + 12/8. Which is the nearest to u? (a) 1/6 (b) -2 (c) o c Let m = 0.068 - -0.032. Let t = 134 + -87.5. Let s = t + -45. Which is the nearest to m? (a) -0.1 (b) s (c) 0.1 c Let k be 8/(-30)*6/4. Let a = 114 + -800/7. Let s be (1 - 12/21)*(44/33)/2. What is the nearest to s in k, 3, a? a Let t = -196/3 - -65. Let o = 0.53 - 3.53. Let w = -1 - o. What is the nearest to t in -12, w, 0.2? 0.2 Let u = -3/76 - 4/19. Let i be 2/(-4) - 11/(-2). Let h = 56 - 57. What is the closest to 1 in u, h, i? u Let y = 1.0464 + -2.0464. What is the nearest to 54 in 0.1, y, -3? 0.1 Let d be (12 - 21/2)*(4 - (-290)/(-75)). Which is the nearest to -16? (a) 0.5 (b) d (c) 2/55 c Let f(p) = 115*p + 1380. Let y be f(-12). What is the nearest to -1 in y, -4.75, -5? y Let v = 2733 - 2734. What is the closest to v in -25, 0.1, -3/4, 0.2? -3/4 Let s = 5 - 0. Let k(j) = -j + 5. Let o be k(6). Let i be (20 + -18)/((-288)/86) - (-33)/88. Which is the nearest to 2/5? (a) i (b) o (c) s a Let p = 296/35 + -55/7. Let j = -15.29 + 16.3. Let l = 0.99 + j. Which is the nearest to p? (a) 1/8 (b) 1 (c) l b Let s = -1 - 4. Let y = 0.9 - 1.3. Let n = 3021 - 3021. Which is the closest to n? (a) y (b) s (c) 1 a Let v = -0.09 + 0.03. Let l = -0.46 - v. Let n = -0.58068 - -0.38068. What is the nearest to -1 in -1/2, l, n? -1/2 Let q be ((-105)/168)/(10/12) - (-1 + 0). Which is the nearest to 14? (a) -0.11 (b) q (c) 1 c Suppose -19*z + 23*z = 168. Let s be 0 - 2/(z/9). Which is the closest to -1? (a) s (b) -0.2 (c) -3 a Suppose -1 - 2 = -3*r. Let p be (6 - -6) + -28 + -6. What is the closest to p in r, -2/7, -1? -1 Let b = -1565 + 1949.2. Let m = 384 - b. Let p be 1 + -1 + 16/(-10). What is the nearest to 0 in 1/6, p, m? 1/6 Let i be (48/80)/(24/(-10)). Let o be (-2 + -2 + -1)*1. Which is the nearest to o? (a) -4 (b) i (c) 0.3 a Let q = -3.424 - -3.524. What is the closest to -2/7 in 13, -0.4, -10, q? -0.4 Let w = 21 - -8. Suppose -3 = -4*b + w. Suppose -5*g - 4*s = -b, s - 3*s = 4*g - 4. What is the closest to g in 2, -1, 4? -1 Let i = -0.15962 + 54.15962. What is the closest to -0.3 in -2, 3, i? -2 Let l = -9866 - -9854. Which is the nearest to -1? (a) 4 (b) -3 (c) -2/3 (d) l c Let h = 1005.6 + -1006. Let z = 0.5 + -0.7. Let j = -1 + 0. Which is the nearest to j? (a) h (b) z (c) 5 a Let p(q) = -q**2 + 44*q + 36. Let u be p(45). Let x be (-22)/(-28) + 2/(-7). Which is the nearest to 2? (a) x (b) -5 (c) u a Let w = 242.9 + -241.9. Let d = -1 - 1. Suppose 4*l - 6 - 14 = -4*c, 4*c + l - 5 = 0. What is the closest to c in d, w, -0.2? -0.2 Let d = -0.1 + 0.1. Let k = -2670 - -13273/5. Let s = k - -601/40. Which is the nearest to 0.1? (a) -1/2 (b) s (c) d c Let x = 6334 + -6331. Which is the closest to x? (a) -0.4 (b) 99 (c) -1/2 (d) 5 d Let k = 3376/7 + -472. What is the nearest to k in 5, 3, 2/33, -4? 5 Suppose 5*g = -5*s + 25, 0*g - 5*g = 2*s - 22. Let w = -0.387 - -0.187. Which is the nearest to -1? (a) 3 (b) -0.18 (c) w (d) s c Let m be (2 - 1)*(-3)/3. Let d = -1474.4 + 1474. Let n = 1.1 - 0.8. Which is the nearest to m? (a) 0.09 (b) n (c) d c Let a = 7/82 + -199/410. What is the nearest to 0.02 in -4, a, -1? a Let z = -4276.5 - -4276. What is the closest to 3 in -5, z, -3, 0.5? 0.5 Suppose -71 + 15 = -14*f. Let x be 6/f*24/36. What is the closest to -4.4 in -4/7, -0.2, x? -4/7 Let i(s) be the third derivative of -s**6/120 - 11*s**5/60 - 11*s**4/12 - 35*s**3/6 + 92*s**2. Let n be i(-9). What is the closest to n in -5/2, 0.5, 6? 0.5 Let b = 11 + -6. Let o(z) = -2*z**3 - 9*z**2 + 16*z + 27. Let d be o(-5). Let r be (1/2)/(70/d). What is the nearest to 1/5 in r, 0.3, b? 0.3 Let m = 96 - 97. Let z(v) = v - 11. Let d be z(17). Let t be (d - 132/21)*14/6. Which is the nearest to t? (a) 0.1 (b) m (c) 5 b Let z be (-519)/(-2768) - 709/3952. What is the closest to z in -2/11, -3/2, 4/3? -2/11 Let l = -110 - -114. What is the closest to 6 in 2/35, l, 0.4? l Suppose -3*o + 108 = 3*l, -5*l + 407 - 260 = 4*o. Which is the closest to -1? (a) o (b) 13 (c) 4 (d) -2/7 d Let z = -8.8 + 9. Let w = -3 - -1. Let s = 82/763 - -35/109. Which is the nearest to -4? (a) w (b) s (c) z a Let w = -82.1 + 71. Let d = w - -10.6. Which is the closest to 14? (a) d (b) -0.3 (c) 2 c Let s(r) = -r**3 + 7*r**2 - 8*r + 14. Let i be s(6). Let y be (-1)/((-6)/(32 - i)). Let v = -54 + 45. What is the closest to v in 0.2, -0.4, y? -0.4 Let i be (-4 - (-182)/49)*-1. Let g = 5.52 + -0.52. Which is the nearest to g? (a) i (b) 0.5 (c) 3 c Let u be ((-3641)/(-539) + -7)/((-6)/(-21)). What is the nearest to 3 in 5, u, -1/2, -20? 5 Let i = -2312.15 + 2312. What is the nearest to -0.1 in 0.2, -1, 4, i? i Let n = 137 - 549/4. Let p = 1.14 - 1.54. Which is the nearest to n? (a) -3 (b) 5/4 (c) p c Suppose 0 = -23*s - 25*s + 49*s - 2. Let u(p) = -5*p**3 - p. Let d be u(-1). Let v be (-2)/(4/(-1))*1. Which is the closest to v? (a) s (b) d (c) 0.3 c Let a be 18427719/(-24675882) + 1/(-2). Let t = 2/53411 + a. Let n = t + 10/7. What is the nearest to 0 in -5, n, -0.3? n Let i = 0.06 + 0.14. Let o be 34/(-6) - 90/(-36)*2. What is the closest to o in -4, i, 3/5? i Let f be (-7)/(-15) - (-2)/(-5 - 1). Suppose -k + 5*j = -23, 0 = -5*k - 5*j - 37 + 2. Which is the closest to 2? (a) f (b) 2/7 (c) -2/3 (d) k b Let m = 16.82 + -20.82. Let o = 7 - 10. Let c = -19 - -21. What is the nearest to c in -0.5, m, o? -0.5 Let u be 13/3 - ((-108)/(-9) - 8). Let l be (-75)/(-250) - (0 - 14/20). What is the closest to l in -3, u, -0.1? u Let q = 18461 + -18459. What is the nearest to q in 2216, -0.4, -2/11? -2/11 Let z be (-20)/(-8) + 79/(-30). Suppose 30 - 12 = 2*o - 5*b, 4*o = 5*b + 26. Let y = -2 - -2.2. What is the closest to z in y, -0.4, o? -0.4 Let t = 14.65 - 14.55. What is the nearest to -0.1 in t, -2, 4, 8? t Let u = -4 - -3. Let x = 36.04 + -204.14. Let i = x - -168. Which is the nearest to u? (a) i (b) -0.14 (c) 5/6 b Let z = 0.02 - -3.98. Let c be (-12)/(-900)*-6*(-20)/8. What is the closest to c in 25, z, 0.3? 0.3 Let s = 986/115 - 188/23. What is the nearest to 0 in 4, s, -0.9, -5? s Let z = 0.7983 + 0.0017. Let v be (-12)/42 - (-8)/(-21). Let q = 613/5 - 123. What is the closest to -0.1 in v, z, q? q Let w be ((-21)/(-42))/((-2 - -4)/(-24)). Let n be (4/(-56))/(4/12). Which is the closest to 1/2? (a) w (b) -5 (c) n c Let r = 8 + -13. Let u(q) = -q**3 + 40*q**2 - 38*q - 42. Let j be u(39). Let y be j + (0 + 0 - -1). Which is the closest to y? (a) r (b) -2 (c) 4 b Let s be (-741)/(-133) - (-7 + 13). What is the closest to 3 in s, -148, -2? s Let g = 0.36674 - -1.63326. What is the closest to g in 5, 0.4, 22, -0.7? 0.4 Suppose -2*q + 4 = 4*y, 2*q + 0 = -2*y - 2. Let x be (-2)/(y + -1) - 145/(-45). Let f = x - 125/36. What is the closest to -1/4 in -0.1, 2, f? -0.1 Let p = 0.39 - 35.67. Let y = p - 1.92. Let m = y + 37. What is the closest to -3 in m, -5, 3/5? -5 Suppose -2*z - 12 = -8. Let h be z/((-44)/(-48) + 2/(-8)). What is the closest to 0 in -2/9, -7, h? -2/9 Let f be (-25)/(-70)*(-124)/155. Which is the nearest to -1? (a) f (b) 50.1 (c) 2 a Let s = 1473 - 1474. What is the closest to s in -2/5, -1/3, 2528, -3? -2/5 Let n = 4.2 + -4.264. Let r = -67.936 + n. Let o = 64 + r. Which is the closest to 1? (a) -0.4 (b) 1/9 (c) o b Let w(z) be the third derivative of -z**5/60 + 13*z**4/24 + 58*z**3/3 - 19*z**2 + 3. Let f be w(19). What is the closest to f in 1/5, -3, 0, -0.4? 1/5 Let i = -0.3 - 0.7. Let v be ((-32)/52)/((-78)/169). What is the nearest to -1/2 in v, i, 11? i Let y be 108/(-60) + 1 + 0. Let m = 2421 + -2420.9. Which is the nearest to y? (a) -3 (b) -1 (c) m b Let n = -16 - -15.8. Let v = 4.011 + -0.011. Let x = v - 2. Which is the closest to -0.2? (a) n (b) x (c) 0.1 a Let f = 595
{ "pile_set_name": "DM Mathematics" }
and -1237? -2305768 What is 4024588 times -0.07? -281721.16 453196.66 times 0.6 271917.996 Work out 231 * -38.459. -8884.029 What is the product of -11509 and -191? 2198219 Multiply -0.1342661 and 1.6. -0.21482576 -0.2 times -6356.541 1271.3082 Calculate -0.72*-252698. 181942.56 3.8 times 142674 542161.2 -0.64163 times 216 -138.59208 -46 * 16.34229 -751.74534 2869 times -54.91 -157536.79 93.1161 * -804 -74865.3444 -9854295 * -0.2 1970859 Work out -0.136923 * 0.467. -0.063943041 Work out -124902 * 0.011. -1373.922 Product of 0.1 and -2725.862. -272.5862 Product of 12.2 and -0.055768. -0.6803696 -4.283541*-40 171.34164 What is -159 times 3272.1? -520263.9 Multiply -3263927 and 1.5. -4895890.5 Product of -12914344 and 4. -51657376 Work out -5524.691 * 0.062. -342.530842 Multiply -1144 and -14947. 17099368 What is 0.04 times 1.977416? 0.07909664 Work out -0.03 * 736.2231. -22.086693 What is the product of -94837 and 0.0368? -3490.0016 Work out 89867.9 * -3. -269603.7 4196.49 times -22.1 -92742.429 Calculate 5*44469677. 222348385 Multiply 0.1962 and -37.13. -7.284906 Work out 19 * 1502.289. 28543.491 -6.301 times -3799 23937.499 What is the product of -0.02 and -239487? 4789.74 -7265 * 28626 -207967890 What is -39733 times 1967.5? -78174677.5 Calculate 0.2*12047849. 2409569.8 8523937 * 193 1645119841 0.4 * 0.02412059 0.009648236 0.27 times -8093265 -2185181.55 What is 8804 times -1.2422? -10936.3288 Calculate 2.223649*0.233. 0.518110217 1.579432169*-0.3 -0.4738296507 Multiply 0.87 and 2245779. 1953827.73 What is the product of -4 and -0.053471942? 0.213887768 0.01234*1277 15.75818 Work out 67.1 * 13386. 898200.6 What is the product of -15519849 and 1? -15519849 520*-408686 -212516720 Product of -5.6 and -183996. 1030377.6 Work out -4603 * 4476. -20603028 Multiply -146612 and -0.5. 73306 Multiply -953 and 97.2878. -92715.2734 What is 0.838 times -14109.9? -11824.0962 -2 times 36004.463 -72008.926 Work out -1446 * 13.7487. -19880.6202 Multiply 1.553 and 5677. 8816.381 What is the product of 168 and 115017? 19322856 What is the product of 143 and -24.423? -3492.489 What is the product of 2.8443 and 566? 1609.8738 Multiply -3.925894 and -69. 270.886686 What is 9.6 times -21.4078? -205.51488 What is the product of 0.2 and 0.04876994? 0.009753988 What is the product of -12 and -5382078? 64584936 -4.2*-0.0403709 0.16955778 -75.725 times -30 2271.75 467*-8994.6 -4200478.2 Product of 2719394 and 185. 503087890 0.153 * -782434 -119712.402 Multiply 1212610 and -0.069. -83670.09 Work out 34521209.3 * 4. 138084837.2 Calculate -3172879*-2.5. 7932197.5 What is the product of -20457137 and -0.4? 8182854.8 Work out 15.7 * -317686. -4987670.2 Calculate 0.1939*1.4581. 0.28272559 Multiply 0.01 and -449642. -4496.42 What is -8 times 80.47? -643.76 Product of -125.2 and -0.05043. 6.313836 Work out 843 * 588. 495684 Work out -0.223 * 430.4036. -95.9800028 Work out -19 * 1.4765. -28.0535 Product of -1 and 642617.16. -642617.16 Work out -24681288 * 0.01. -246812.88 What is the product of 87 and -29657? -2580159 Calculate -4122808*-5. 20614040 Product of 781906 and 0.1. 78190.6 What is -0.02026387 times -274? 5.55230038 81*1093834 88600554 What is the product of -877432 and 0.067? -58787.944 15769*969 15280161 Product of -44794943 and -2. 89589886 What is the product of -11 and -68286? 751146 Calculate 0.2*-1576.517. -315.3034 Product of -0.460235 and -68. 31.29598 Work out 0.5 * -141557.9. -70778.95 4*56560780 226243120 What is 2.5324 times 195? 493.818 0.72469704 times 0.3 0.217409112 18 * -223011 -4014198 -2999707 * -43 128987401 What is the product of 0.4 and 38386031? 15354412.4 What is the product of -31.23612 and -0.27? 8.4337524 Work out 102.6 * -6735. -691011 Product of 4.510927 and 7. 31.576489 -5 * 4.0329 -20.1645 -77119*-197 15192443 Work out 6.359 * -9587. -60963.733 0 * -0.264576061 0 Product of -1976172 and 0.2. -395234.4 Calculate 12.8335459*-2. -25.6670918 -5.9 * -91.09 537.431 -3.2448 times -10222 33168.3456 Work out 18097741 * 0. 0 Work out -209 * -33233. 6945697 Multiply -0.2 and 18540893. -3708178.6 Product of 273 and 8636.85. 2357860.05 1.5576 times -0.094 -0.1464144 Work out 2 * 0.0750184. 0.1500368 6.862*-1678 -11514.436 Multiply -1.993 and 1480. -2949.64 Multiply -18523 and 4.81. -89095.63 7950 * -0.91 -7234.5 What is -34 times -738082? 25094788 3534832 * -0.031 -109579.792 Multiply -432 and -301.84. 130394.88 Product of 0 and -72.58241. 0 Work out 2919262 * -8.6. -25105653.2 16287 times -795 -12948165 Work out 1322 * -0.4137. -546.9114 Work out -48.205 * 90. -4338.45 Calculate 295996*0.024. 7103.904 Multiply 0.5 and 109.17766. 54.58883 Work out -11586466 * -1. 11586466 Product of 3007.38136 and -0.5. -1503.69068 What is -82.963 times -4.9? 406.5187 582944*-976 -568953344 -302746.2*0.03 -9082.386 Product of -8286 and -7608. 63039888 What is the product of -0.031 and 88135? -2732.185 Multiply 1567757 and 0.5. 783878.5 -0.46 times 249.46 -114.7516 -26 * -11917.4 309852.4 Multiply 13696847 and 0.3. 4109054.1 0.8987*-3.726 -3.3485562 20403*0.1364 2782.9692 -4337*1788 -7754556 -12872201 times 4 -51488804 What is 0.6 times -73332? -43999.2 Work out 122.456 * -0.074. -9.061744 133 * -83.986 -11170.138 Work out 333 * -0.6714. -223.5762 Calculate -89248*-2.6. 232044.8 Product of -17200 and -0.79. 13588 What is the product of -1 and -1.85266? 1.85266 Work out -5152586 * -0.06. 309155.16 49238*205 10093790 4*3697183 14788732 What is the product of 0.22 and 208.91787? 45.9619314 -1274495 times 7 -8921465 What is 12.2 times 378.51? 4617.822 5206.2 * -2074 -10797658.8 Calculate 9008*18818. 169512544 Product of -4.7082 and -0.3. 1.41246 What is 31.33602 times 0.22? 6.8939244 What is -0.3 times 3407771? -1022331.3 Calculate -78712*5. -393560 Calculate 0.1*24029204. 2402920.4 What is the product of -0.016 and -332031? 5312.496 34 times -417.4766 -14194.2044 Product of -48.52 and -12453. 604219.56 What is the product of 3079 and -0.1201? -369.7879 -328299956*0.2 -65659991.2 What is the product of -3 and 27335801? -82007403 -0.27425 times 2074 -568.7945 Work out 1133.33 * 3464. 3925855.12 Work out 11489281 * -4. -45957124 1196145 * -65 -77749425 What is the product of -20.239682 and 0.1? -2.0239682 0.8063078 * 0.4 0.32252312 Calculate 206980492*0.5. 103490246 Multiply -3728 and 0.125045. -466.16776 Calculate 0.5*2494628. 1247314 6791241 * 0 0 What is -422 times 1.3842? -584.1324 Work out -135990 * -1.2. 163188 Work out 304552 * 141. 42941832 Work out -0.1 * -1758415. 175841.5 -12 times 91501016 -1098012192 Calculate 0.81*13564400. 10987164 What is 1.722 times -37353? -64321.866 Calculate -0.59*-10907142. 6435213.78 18 times -39.6601 -713.8818 308.24 times -25.812 -7956.29088 Product of -19 and 142230. -2702370 Product of -0.620663 and 0.021. -0.013033923 -4441.55 times -4.8 21319.44 0.3 times 35926733 10778019.9 Product of 0.1 and 25788643. 2578864.3 0.6424 times 17201 11049.9224 343*0.6883028 236.0878604 Calculate -0.5*-15.61203. 7.806015 Multiply -0.04 and -29532844. 1181313.76 Multiply -894.36 and 34. -30408.24 Work out -15.6477 * -0.09. 1.408293 What is -0.19086 times -3.04? 0.5802144 7771*307 2385697 Product of -0.6 and 426610. -255966 4725.5*-0.0057 -26.93535 What is -1582360 times 15.1? -23893636 Multiply -13.8 and -97173. 1340987.4 -1 times -64980.03 64980.03 Multiply -7.5128429 and 10. -75.128429 -61419 * 1.64 -100727.16 -0.047 * 122.95389 -5.77883283 What is the product of -89242.8811 and -0.2? 17848.57622 What is the product of 0.7 and -1.1554155? -0.80879085 Work out 6 * -3045170. -18271020 68 * 261067.3 17752576.4 -283.7 * -0.064074 18.1777938 -0.05 times 140058.1 -7002.905 -65051 times -0.144 9367.344 What is 78274 times 1.47? 115062.78 What is -0.4 times 321.25171? -128.500684 What is 142964.1 times 1? 142964.1 -0.028*6971060 -195189.68 -62210323*0.1 -6221032.3 -0.022064 * -0.04 0.00088256 What is -9.4 times 4411008? -41463475.2 -0.05 times 3927694 -196384.7 Multiply -1840 and -0.1203. 221.352 Calculate -2635*43864. -115581640 What is the product of -143 and 5.1631? -738.3233 -77112391*5 -385561955 0.23455776*0.3 0.070367328 -9 times -0.0596659 0.5369931 Multiply 176 and -3214. -565664 2763*6.2544 17280.9072 89764 * 0.043 3859.852 Multiply 96145 an
{ "pile_set_name": "DM Mathematics" }
ement from wwrrrwwhqw. What is prob of picking 2 r? 1/15 What is prob of picking 3 r when three letters picked without replacement from ccrrcccccccccccrrc? 1/204 Two letters picked without replacement from xvvxqvqqqxqx. What is prob of picking 2 x? 1/11 Four letters picked without replacement from {w: 10, s: 4}. What is prob of picking 2 s and 2 w? 270/1001 Calculate prob of picking 1 e and 2 m when three letters picked without replacement from {c: 3, e: 2, m: 4, z: 8}. 3/170 Two letters picked without replacement from nnwzwnwnww. Give prob of picking 2 n. 2/15 Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {s: 1, d: 7, w: 1, c: 4, v: 3, a: 2}. 1/1530 Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, y: 1, f: 2, m: 7}. 1/91 Two letters picked without replacement from {s: 4, n: 2, q: 7}. What is prob of picking 2 n? 1/78 Two letters picked without replacement from {x: 1, w: 3, y: 2, n: 4}. What is prob of picking 1 x and 1 y? 2/45 Three letters picked without replacement from {v: 6, i: 13}. Give prob of picking 3 v. 20/969 Four letters picked without replacement from {v: 4, w: 6, c: 4}. What is prob of picking 2 c and 2 w? 90/1001 Two letters picked without replacement from {o: 11, k: 1}. Give prob of picking 2 o. 5/6 Two letters picked without replacement from {h: 1, n: 5, v: 1, e: 3}. What is prob of picking 1 h and 1 v? 1/45 Four letters picked without replacement from eekptpepqtpppepkqt. Give prob of picking 4 e. 1/3060 Two letters picked without replacement from uzydeudz. What is prob of picking 2 u? 1/28 What is prob of picking 3 o when three letters picked without replacement from qqooqoyyooyq? 1/22 Two letters picked without replacement from hhhyaqhfhhhanhn. What is prob of picking 2 h? 4/15 Four letters picked without replacement from {n: 2, r: 4, c: 1, f: 2, d: 7}. What is prob of picking 1 d, 1 n, 1 c, and 1 f? 1/65 Four letters picked without replacement from cbccccccccccccc. What is prob of picking 1 b and 3 c? 4/15 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from cmmbbhmbmcbmbbs. 1/21 Calculate prob of picking 4 m when four letters picked without replacement from {m: 7}. 1 What is prob of picking 1 l and 3 o when four letters picked without replacement from odusocoosllc? 8/495 Two letters picked without replacement from {z: 9, q: 4, y: 1}. What is prob of picking 2 q? 6/91 Four letters picked without replacement from ttenttttnettt. What is prob of picking 1 e and 3 n? 0 Four letters picked without replacement from {l: 5, u: 2, q: 3, k: 3}. Give prob of picking 2 u, 1 l, and 1 k. 3/143 Four letters picked without replacement from {f: 3, s: 4, a: 4}. Give prob of picking 2 a and 2 f. 3/55 What is prob of picking 2 t when two letters picked without replacement from {t: 3, c: 3, q: 2, r: 1, d: 1}? 1/15 Two letters picked without replacement from {z: 3, i: 3, d: 4, o: 4, q: 3}. Give prob of picking 1 z and 1 o. 3/34 What is prob of picking 1 h and 1 k when two letters picked without replacement from {h: 9, k: 3}? 9/22 Two letters picked without replacement from {o: 2, z: 2}. What is prob of picking 2 z? 1/6 What is prob of picking 2 e and 1 c when three letters picked without replacement from cqaeicncniec? 1/55 Two letters picked without replacement from thyhhthyhtt. Give prob of picking 2 y. 1/55 Three letters picked without replacement from {l: 5, s: 3}. What is prob of picking 1 s and 2 l? 15/28 What is prob of picking 1 m, 1 f, and 1 a when three letters picked without replacement from {f: 1, z: 1, m: 1, v: 2, c: 1, a: 1}? 1/35 Two letters picked without replacement from {v: 7, j: 1, t: 2, u: 1, d: 4, b: 5}. Give prob of picking 1 v and 1 d. 14/95 What is prob of picking 1 s, 1 g, and 2 z when four letters picked without replacement from gzpsgzgzzbzsbsggggz? 105/1292 Two letters picked without replacement from {l: 7, w: 2, q: 1}. What is prob of picking 1 w and 1 q? 2/45 Calculate prob of picking 2 w when two letters picked without replacement from yywyywwwwyyy. 5/33 Calculate prob of picking 2 b and 1 u when three letters picked without replacement from jbbu. 1/4 Calculate prob of picking 1 u and 1 o when two letters picked without replacement from suuouurusuuouruourro. 4/19 Four letters picked without replacement from {z: 2, f: 7}. What is prob of picking 4 f? 5/18 Four letters picked without replacement from {w: 9, h: 2, c: 5, a: 2}. Give prob of picking 1 h, 1 w, and 2 c. 1/17 Three letters picked without replacement from {x: 5, g: 2}. Give prob of picking 3 g. 0 Two letters picked without replacement from vhpphhh. Give prob of picking 1 v and 1 p. 2/21 Three letters picked without replacement from {g: 2, i: 3}. What is prob of picking 3 i? 1/10 Three letters picked without replacement from bykykbukubbkkybkbub. What is prob of picking 2 b and 1 u? 21/323 What is prob of picking 1 o and 1 u when two letters picked without replacement from {c: 1, e: 1, a: 4, u: 1, h: 3, o: 2}? 1/33 Four letters picked without replacement from {k: 1, v: 1, o: 3, m: 2, x: 4, e: 4}. Give prob of picking 1 e, 1 m, and 2 o. 8/455 Calculate prob of picking 3 x and 1 m when four letters picked without replacement from nmmnxmxxxnnn. 4/165 Three letters picked without replacement from zzlllzllzzll. Give prob of picking 1 z and 2 l. 21/44 Three letters picked without replacement from {c: 1, p: 1, a: 1}. Give prob of picking 1 p and 2 a. 0 Calculate prob of picking 1 i and 1 w when two letters picked without replacement from qseiweeqwwsbqibq. 1/20 Four letters picked without replacement from {x: 3, z: 3, o: 2, h: 1, e: 4, i: 3}. What is prob of picking 3 x and 1 o? 1/910 Three letters picked without replacement from {n: 4, m: 16}. What is prob of picking 2 m and 1 n? 8/19 Two letters picked without replacement from {h: 2, e: 1, w: 6, l: 3, c: 4}. What is prob of picking 1 l and 1 w? 3/20 Three letters picked without replacement from {q: 8, v: 4, r: 2, g: 2}. Give prob of picking 3 v. 1/140 Four letters picked without replacement from jbbjbwb. What is prob of picking 1 j, 1 w, and 2 b? 12/35 Three letters picked without replacement from xnnpqwnpnwp. Give prob of picking 1 x, 1 q, and 1 p. 1/55 Three letters picked without replacement from gggggygggygggygggggg. What is prob of picking 3 g? 34/57 Three letters picked without replacement from {i: 5, l: 4, s: 10}. What is prob of picking 2 l and 1 s? 20/323 Calculate prob of picking 1 f, 2 b, and 1 v when four letters picked without replacement from ffvfvfvfvfbfvvfvbv. 16/765 Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjjjjjjjjjjl. 9/10 Three letters picked without replacement from nyvqntvnbqnnqqb. What is prob of picking 1 v, 1 t, and 1 b? 4/455 Two letters picked without replacement from gggmm. What is prob of picking 2 g? 3/10 What is prob of picking 2 x and 1 l when three letters picked without replacement from {l: 2, x: 2, t: 1, s: 4}? 1/42 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {z: 1, j: 3, f: 1}. 3/10 Two letters picked without replacement from njqhhqhnhfqqqhqhfq. What is prob of picking 2 n? 1/153 What is prob of picking 2 h and 2 e when four letters picked without replacement from {u: 1, w: 1, f: 8, e: 7, h: 2}? 7/1292 Four letters picked without replacement from rerhrhehereheehe. Give prob of picking 2 h, 1 r, and 1 e. 2/13 Three letters picked without replacement from {q: 1, t: 6, d: 3, y: 5}. Give prob of picking 1 y, 1 q, and 1 d. 3/91 Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhhhh. 1 Three letters picked without replacement from ibaabrbaabi. What is prob of picking 1 b, 1 r, and 1 a? 16/165 Four letters picked without replacement from ikiffffkuikfqi. What is prob of picking 2 i and 2 k? 18/1001 Four letters picked without replacement from {n: 4, y: 4, o: 6, x: 1}. What is prob of picking 2 n, 1 y, and 1 x? 8/455 What is prob of picking 1 g and 1 x when two letters picked without replacement from wgiwwiwwwxiiwxwgiwwf? 2/95 Calculate prob of picking 2 a and 2 m when four letters picked without replacement from aaaaaamaam. 2/15 What is prob of picki
{ "pile_set_name": "DM Mathematics" }
n + 3988 - 4042 for n. 6 Solve 26*h - 103 + 17 = 356 for h. 17 Solve -186 = 38*f + 4*f + 20*f for f. -3 Solve -7 = -5*z - 49 + 22 for z. -4 Solve 265*j - 2106 = 427*j for j. -13 Solve -234*h - 1684 - 3698 = 0 for h. -23 Solve -4*h - 25 = 4*h - 3*h for h. -5 Solve 39*p + 12*p + 82*p + 1197 = 0 for p. -9 Solve 1415 = 221*v + 4951 for v. -16 Solve 14759 = -16*l + 15095 for l. 21 Solve -20*j + 87 = 62 - 195 for j. 11 Solve -11569*p + 161 = -11562*p for p. 23 Solve 46*s + 4493 + 28 = 457*s for s. 11 Solve 143*l - 166*l + 184 = 0 for l. 8 Solve -48*q - 703 = -175 for q. -11 Solve -4 = -8523*y + 8528*y + 6 for y. -2 Solve 89*u - 14*u - 61 = 314 for u. 5 Solve 13*q - 874 + 3061 = -68*q for q. -27 Solve 3*f - 3243 = -3285 for f. -14 Solve 3303 = -36*i - 2825 + 6668 for i. 15 Solve 1087*p - 560*p = 557*p for p. 0 Solve 25*b + 7*b + 825 = -23*b for b. -15 Solve -236*m + 387*m + 13039 = -852*m for m. -13 Solve 7639*w = 7866*w - 4313 for w. 19 Solve 38 = 2*u + 126 - 60 for u. -14 Solve 348*q - 5 + 1180 = 113*q for q. -5 Solve -178*r + 75*r + 412 = 0 for r. 4 Solve 11969*t = 11982*t + 143 for t. -11 Solve 16*y - 142 = -94 for y. 3 Solve -185*y + 2004 = 339 for y. 9 Solve 4*o = 27*o + 8*o + 155 for o. -5 Solve 5774 - 5214 = -80*k for k. -7 Solve -113 = -29*c - 519 for c. -14 Solve 20*n + 28 = -6*n + 366 for n. 13 Solve 480*p = 486*p + 78 for p. -13 Solve 89*s = 241*s - 622 + 3358 for s. -18 Solve -227 - 203 + 496 = -6*q for q. -11 Solve 20*c - 4166 = -3826 for c. 17 Solve -4*k = 18*k - 22 for k. 1 Solve 11*z - 80 = -z + 2*z for z. 8 Solve 53*k = -620 - 472 + 403 for k. -13 Solve -125 - 42 = -23*g - 52 for g. 5 Solve -8*i = -84*i - 921 + 9 for i. -12 Solve 9*m + 34*m + 13*m = 672 for m. 12 Solve -982 = -195*d - 42*d + 5417 for d. 27 Solve 157 - 485 - 437 = -255*m for m. 3 Solve -4192 - 2173 = 452*y + 415 for y. -15 Solve -6613 = 94*g - 7741 for g. 12 Solve -16928*d + 17075*d = 2352 for d. 16 Solve 813*n + 7400 = -109*n + 182*n for n. -10 Solve 19*b = -23*b + 28458 - 28374 for b. 2 Solve 321*p - 871 = -5686 for p. -15 Solve 606 + 759 = -166*x - 29*x for x. -7 Solve -805 = 245*p + 1065 + 335 for p. -9 Solve 20*b - 74 - 106 = 0 for b. 9 Solve -177*f = -176*f + 144*f - 1740 for f. 12 Solve 340*c - 2224 + 5624 = 0 for c. -10 Solve 11697*p - 11707*p - 290 = 0 for p. -29 Solve -242*p - 5680 = -19*p + 345*p for p. -10 Solve 0 = 275*o - 266*o for o. 0 Solve 0 = -176*j + 1524 - 141 + 2841 for j. 24 Solve 139*s - 1450 = 496 for s. 14 Solve -1801*s - 399 = -1780*s for s. -19 Solve 278 = -21*c + 404 for c. 6 Solve 666*z = 592*z - 740 for z. -10 Solve -397*f + 9021 = 2310 - 435 for f. 18 Solve 41*o - 297 = -19*o + 3 for o. 5 Solve -12*b + 63 = 8*b - 37 for b. 5 Solve 21*d - 810 = 23*d + 52*d for d. -15 Solve 128*q + 248*q = 0 for q. 0 Solve 22 = 3*w + 46 for w. -8 Solve 3*l - l = 31 - 7 for l. 12 Solve 0 = 12*b + 40*b - 389 + 1065 for b. -13 Solve 347*s - 1388 - 426 = -426 for s. 4 Solve 31*c + 855 = -18*c - 8*c for c. -15 Solve -1230 = -11*i + 47*i + 87*i for i. -10 Solve -27*v - 8*v - 1875 = -160*v for v. 15 Solve 0 = -105*k + 30*k - 675 for k. -9 Solve -491*c + 15*c + 786 = -642 for c. 3 Solve 0 = -380*k + 387*k - 28 for k. 4 Solve -41*w - 15 = -121 - 17 for w. 3 Solve 883*i = 446*i + 443*i + 66 for i. -11 Solve -36 = 716*a - 722*a for a. 6 Solve 0 = -4*z - 9*z + 4*z - 45 for z. -5 Solve -114*n = 694 - 1378 for n. 6 Solve -170*x - 807 = -65*x + 243 for x. -10 Solve 0 = -849*m + 869*m + 280 for m. -14 Solve 49*p - 695 = -695 for p. 0 Solve -58*u + 79*u + 252 = 0 for u. -12 Solve -39*v = -6*v + 40*v - 73 for v. 1 Solve 27*x = -131 + 77 for x. -2 Solve -540 = 51*x - 30 for x. -10 Solve 0 = -89053*u + 89043*u + 10 for u. 1 Solve 2502 = -376*p - 41*p for p. -6 Solve 155*x + 2903 = -210*x - 5492 for x. -23 Solve 23*q - 525 = 105*q + 623 for q. -14 Solve -103*p - 633 = -1457 for p. 8 Solve 0 = -527*d + 481*d + 63 - 799 for d. -16 Solve -190*z + 588 = -263 + 91 for z. 4 Solve 0 = 64*g - 555 + 555 for g. 0 Solve -17*r + 79*r + 18*r + 1040 = 0 for r. -13 Solve 51*n + 358 = -472 + 218 for n. -12 Solve -565*b = -13076 - 909 - 1270 for b. 27 Solve 0 = -131*h - 2006 + 3840 for h. 14 Solve 0 = 2*j + 9*j + 9 - 119 for j. 10 Solve -173*g - 156*g + 881 = 8119 for g. -22 Solve 0 = -41272*y + 41256*y + 112 for y. 7 Solve 1004 + 4148 = -346*m - 38 for m. -15 Solve -572 = -49*g - 154 - 1790 for g. -28 Solve 99*o = -188*o + 10308 - 3420 for o. 24 Solve 804 = -189*q + 1560 for q. 4 Solve -8*u - 233*u - 1226 = 1425 for u. -11 Solve -153 = 36*y + 171 for y. -9 Solve 23*w - 35*w - 156 = 0 for w. -13 Solve 85*z - 532 - 233 = 0 for z. 9 Solve 112*p - 2643 = -12*p + 333 for p. 24 Solve -18*o + 3*o + 552 = 9*o for o. 23 Solve 27*w - 34*w + 14 = 0 for w. 2 Solve -89*m = 20*m + 218 for m. -2 Solve -181*h - 1560 = -318*h + 177*h for h. -39 Solve -19*t - 18 = 134 for t. -8 Solve -214*b + 81 = 509 for b. -2 Solve 0 = 429*q + 8593 - 13 for q. -20 Solve -40 = -38*w + 416 for w. 12 Solve -158*i - 420 = 3096 + 750 for i. -27 Solve -115*l - 141*l - 660*l - 9160 = 0 for l. -10 Solve -v - 9 = -2*v + 30 for v. 39 Solve -18*f - 306 + 342 = 0 for f. 2 Solve 86 - 826 = -199*f + 56 for f. 4 Solve 236*i + 2060 = 30*i for i. -10 Solve 252*b = 282*b - 150 for b. 5 Solve 0 = 25*y + 328 - 428 for y. 4 Solve -8*t - 18*t = -3*t + 276 for t. -12 Solve 292585*x - 292599*x = 70 for x. -5 Solve -37*a - 13*a - 75 = 25 for a. -2 Solve 0 = 256*d - 261*d - 35 for d. -7 Solve 2927 = -14*m + 2843 for m. -6 Solve 0 = 25*d + 350 + 325 for d. -27 Solve -597*d - 788 = -11299 - 5011 for d. 26 Solve -89*k + 186*k - 195 = 112*k for k. -13 Solve -65 = 8385*f - 8372*f for f. -5 Solve 0 = 148*t - 2167 + 391 for t. 12 Solve -103 - 296 = 57*h for h. -7 Solve -637 = 330*l + 23 for l. -2 Solve 229*n - 306 - 86 = 215*n for n. 28 Solve -30*r - 208 = -r - 150 for r. -2 Solve -61*x + 164*x = -1854 for x. -18 Solve 4*v = 25 - 24 + 43 for v. 11 Solve 38*d + 97 = 325 for d. 6 Solve 699 - 704 = h for h. -5 Solve -221 = 42*q - 179 for q. -1 Solve -4*a - 31 = 3*a - 45 for a. 2 Solve 0 = -395*g - 12467 + 2987 for g. -24 Solve 338*q - 353*q = 120 for q. -8 Solve 42*n + 2355 = 15*n - 130*n for n. -15 Solve -779*f + 2269*f = 23840 for f. 16 Solve 139*a = 141*a + 6 for a. -3 Solve 121 - 329 = -26*z for z. 8 Solve 3810 = 638*p + 3205 - 14707 for p. 24 Solve -623 = -26*t + 172 - 119 for t. 26 Solve -73*u + 73 = -145*u + 1369 for u. 18 Solve -1519*o - 3588 = -1795*o for o. 13 Solve 78*l = -423 - 123 for l. -7 Solve 29*j = 22*j - 19*j + 260 for j. 10 Solve -143*h - 351 + 2409 = -945 for h. 21 Solve -1157 = 132*d - 553 + 2036 for d. -20 Solve -812*f + 446*f + 413*f = 846 for f. 18 Solve 24*h = 113 + 223 for h. 14 Solve -171*m - 2136 = 7*m for m. -12 Solve y - 82*y - 648 = 0 for y. -8 Solve -1924 = 631*q - 579*q for q. -37 Solve 2331*f - 2320*f = -55 for f. -5 Solve 55*p - 714 + 164 = 0 for p. 10 Solve -30*p + 1300 = -82*p for p. -25 Solve -412*f + 11604 - 3776 = 0 for f. 19 Solve 546*c + 1432 - 748 = -954 for c. -3 Solve -5610 = 887*o - 326*o for o. -10 Solve 0 = -883*i + 225*i + 11186 for i. 17 Solve 331 = -5*d - 3*d + 323 for d. -1 Solve -21402 = -1628*m + 439*m for m. 18 Solve 439171*p = 439174*p - 12 for p. 4 Solve 3*l + 414 - 170 = 169 for l. -25 Solve 137 = 22*q + 93 for q. 2 Solve -118*w + 291*w - 1211 = 0 for w. 7 Solve 1574 - 5942 = 728*q for q. -6 Solve 95 = 357*c + 1874 + 6432 for c. -23 Solve -2533 = 5*i - 2478 for i. -11 Solve -491 = -280*b + 2869 for b. 12 Solve 8610*c = 8523*c - 957 for c. -11 Solve -461 = -15*a - 907 + 491 for a. 3 Solve 0 = -62*r - 76*r + 116*r + 132 for r. 6 Solve -4*y + 11*y - 5*y = 18 for y. 9 Solve -1681 = -198*r + 1685 for r. 17 Solve 0 = 121*d - 121 - 847 for d. 8 Solve 14612 = 40*o + 14452 for o. 4 Solve -3*i - 1816 = -1789 for i. -9 Solve 17*b - 21*b = 24*b + 140 for b. -5 Solve 143*n + 41*n - 4140 + 8372 = 0 for n. -23 Solve 0 = 289*t - 1880 - 4478 for t. 22 Solve -94*d = 107*d - 175*d - 338 for d. 13 Solve -6*j - 57*j + 137 = -808 for j. 15 Solve -112*p - 51*p + 1536 = 221*p for p. 4 Solve 266 = -105*r + 48*r - 19 for r. -5 Solve 2050 + 29 = -189*v for v. -11 Solve -322 = -25*y - 22 for y. 12 Solve -4075*v + 111 = -4118*v - 362 for v. -11 Solve 639 + 426 = -71*t for t. -15 Solve -138*u + 788 + 730 = 0 for u. 11 Solve 7
{ "pile_set_name": "DM Mathematics" }
, -5941, -4817, -3693, -2569, -1445? 1124*h - 8189 What is the h'th term of 7853837, 7853841, 7853845, 7853849? 4*h + 7853833 What is the q'th term of -280940, -278407, -275874, -273341, -270808? 2533*q - 283473 What is the n'th term of 345947, 691616, 1037285? 345669*n + 278 What is the x'th term of -1651, -2388, -3605, -5296, -7455, -10076, -13153? x**3 - 246*x**2 - 6*x - 1400 What is the v'th term of -1182, -5596, -14512, -29208, -50962? -213*v**3 - 973*v**2 - 4*v + 8 What is the h'th term of 41983, 84007, 126031? 42024*h - 41 What is the k'th term of -1335498, -2671003, -4006508, -5342013? -1335505*k + 7 What is the j'th term of -7347337, -7347420, -7347503, -7347586? -83*j - 7347254 What is the g'th term of 516, -776, -2062, -3342, -4616? 3*g**2 - 1301*g + 1814 What is the y'th term of 210076, 210675, 212296, 215449, 220644? 85*y**3 + y**2 + y + 209989 What is the r'th term of -464996, -464947, -464866, -464753, -464608, -464431? 16*r**2 + r - 465013 What is the r'th term of 234136, 234156, 234178, 234202, 234228? r**2 + 17*r + 234118 What is the h'th term of -329862877, -329862880, -329862883, -329862886, -329862889, -329862892? -3*h - 329862874 What is the h'th term of -311585, -311528, -311471, -311414, -311357, -311300? 57*h - 311642 What is the s'th term of 4885, 5232, 5803, 6592, 7593, 8800, 10207? -s**3 + 118*s**2 + 4768 What is the c'th term of 27342, 219112, 739912, 1754346, 3427018, 5922532, 9405492, 14040502? 27434*c**3 - 89*c**2 - c - 2 What is the w'th term of 604, 1774, 3548, 5926, 8908? 302*w**2 + 264*w + 38 What is the y'th term of 21158, 42281, 63376, 84443, 105482? -14*y**2 + 21165*y + 7 What is the r'th term of -721696, -721700, -721702, -721702, -721700, -721696, -721690? r**2 - 7*r - 721690 What is the t'th term of 3099180, 3099187, 3099192, 3099195? -t**2 + 10*t + 3099171 What is the h'th term of 911, 6678, 22083, 51884, 100839, 173706, 275243? 793*h**3 + 61*h**2 + 33*h + 24 What is the f'th term of -526452, -526022, -525304, -524298? 144*f**2 - 2*f - 526594 What is the g'th term of -23121, -22718, -22315, -21912, -21509? 403*g - 23524 What is the q'th term of 400769212, 801538422, 1202307632? 400769210*q + 2 What is the d'th term of -453908, -453916, -453924, -453932? -8*d - 453900 What is the t'th term of 2676, 1692, 690, -330, -1368? -9*t**2 - 957*t + 3642 What is the p'th term of 86216, 344793, 775754, 1379099, 2154828, 3102941? 86192*p**2 + p + 23 What is the o'th term of 9821911, 19643809, 29465707? 9821898*o + 13 What is the f'th term of -1257, -5761, -13537, -24585? -1636*f**2 + 404*f - 25 What is the b'th term of 1177, 2536, 4801, 7966, 12025, 16972, 22801, 29506? -b**3 + 459*b**2 - 11*b + 730 What is the d'th term of 18739, 38711, 59909, 82327, 105959, 130799? -d**3 + 619*d**2 + 18122*d - 1 What is the s'th term of -9829, -18329, -26819, -35299, -43769? 5*s**2 - 8515*s - 1319 What is the m'th term of -1292, -1494, -1814, -2240, -2760, -3362? 2*m**3 - 71*m**2 - 3*m - 1220 What is the x'th term of -16497, -15480, -13785, -11412? 339*x**2 - 16836 What is the l'th term of -710, -3076, -7356, -13826, -22762, -34440, -49136? -46*l**3 - 681*l**2 - l + 18 What is the v'th term of 10624798, 21249598, 31874398, 42499198, 53123998? 10624800*v - 2 What is the a'th term of -2917794, -2917804, -2917814, -2917824? -10*a - 2917784 What is the n'th term of -1283793, -1283695, -1283597, -1283499? 98*n - 1283891 What is the i'th term of -55270, -442242, -1492600, -3538036, -6910242, -11940910, -18961732? -55282*i**3 - i**2 + 5*i + 8 What is the s'th term of 29156, 236976, 801064, 1899554, 3710580? 29689*s**3 - 3*s - 530 What is the i'th term of -2896676, -2896687, -2896698, -2896709, -2896720, -2896731? -11*i - 2896665 What is the u'th term of 8378811, 8378814, 8378817? 3*u + 8378808 What is the z'th term of -82925, -163160, -243395, -323630, -403865? -80235*z - 2690 What is the m'th term of 22472137, 44944252, 67416367, 89888482? 22472115*m + 22 What is the r'th term of 5553, 14909, 24265, 33621, 42977, 52333? 9356*r - 3803 What is the c'th term of 2737367, 5474735, 8212103? 2737368*c - 1 What is the y'th term of 128404136, 128404138, 128404140, 128404142, 128404144? 2*y + 128404134 What is the p'th term of -393818, -393725, -393632? 93*p - 393911 What is the k'th term of 147532, 147911, 148290, 148669? 379*k + 147153 What is the m'th term of 16832, 14839, 11524, 6893, 952, -6293? m**3 - 667*m**2 + m + 17497 What is the x'th term of -13911, -15481, -17051? -1570*x - 12341 What is the j'th term of -44837, -44882, -44965, -45104, -45317? -3*j**3 - j**2 - 21*j - 44812 What is the h'th term of 455, 351, 237, 113, -21, -165? -5*h**2 - 89*h + 549 What is the j'th term of -12470, -48983, -109838, -195035? -12171*j**2 - 299 What is the u'th term of 19100, 76125, 171080, 303965, 474780? 18965*u**2 + 130*u + 5 What is the g'th term of -582762, -1165551, -1748374, -2331249, -2914194? -3*g**3 + g**2 - 582771*g + 11 What is the z'th term of 54498, 66166, 77836, 89508, 101182, 112858, 124536? z**2 + 11665*z + 42832 What is the c'th term of 1599, 1462, 1331, 1206, 1087? 3*c**2 - 146*c + 1742 What is the z'th term of -78247, -86042, -93839, -101638, -109439? -z**2 - 7792*z - 70454 What is the h'th term of 2824405, 5648417, 8472429? 2824012*h + 393 What is the d'th term of -116838, -467399, -1051666, -1869639? -116853*d**2 - 2*d + 17 What is the k'th term of 2283, 1591, 863, 81, -773, -1717? -3*k**3 - 671*k + 2957 What is the k'th term of 26773496, 26773439, 26773368, 26773277, 26773160, 26773011, 26772824, 26772593? -k**3 - k**2 - 47*k + 26773545 What is the w'th term of -33606, -67155, -100652, -134097, -167490, -200831, -234120? 26*w**2 - 33627*w - 5 What is the r'th term of 3150, 6204, 9162, 12030, 14814? r**3 - 54*r**2 + 3209*r - 6 What is the h'th term of -1942, -6071, -12958, -22603, -35006, -50167, -68086? -1379*h**2 + 8*h - 571 What is the n'th term of 1016, 1916, 2682, 3302, 3764, 4056, 4166? -2*n**3 - 55*n**2 + 1079*n - 6 What is the l'th term of 466772, 3734240, 12603090, 29874014, 58347704, 100824852, 160106150? 466782*l**3 - l**2 - 3*l - 6 What is the y'th term of 84397, 84315, 84241, 84175? 4*y**2 - 94*y + 84487 What is the b'th term of -934523, -1868957, -2803391, -3737825, -4672259? -934434*b - 89 What is the t'th term of 293283, 293063, 292843? -220*t + 293503 What is the h'th term of 6266994, 6266988, 6266982, 6266976? -6*h + 6267000 What is the c'th term of -16113059, -32226144, -48339229, -64452314, -80565399, -96678484? -16113085*c + 26 What is the j'th term of 40273, 80677, 121069, 161443, 201793? -j**3 + 40411*j - 137 What is the g'th term of 13730, 54952, 123668, 219884, 343606, 494840, 673592? g**3 + 13741*g**2 - 8*g - 4 What is the d'th term of -374, -274, -28, 436, 1190, 2306, 3856, 5912? 12*d**3 + d**2 + 13*d - 400 What is the p'th term of 71319, 140782, 210245, 279708, 349171? 69463*p + 1856 What is the s'th term of -1335267, -1334909, -1334551, -1334193, -1333835, -1333477? 358*s - 1335625 What is the u'th term of -1899723, -1899722, -1899721, -1899720? u - 1899724 What is the i'th term of -244, -682, -1570, -3160, -5704, -9454, -14662, -21580? -42*i**3 + 27*i**2 - 225*i - 4 What is the a'th term of 13948507, 27897006, 41845505, 55794004? 13948499*a + 8 What is the o'th term of -12767296, -12767256, -12767190, -12767098? 13*o**2 + o - 12767310 What is the y'th term of 6450971, 6450972, 6450973, 6450974, 6450975, 6450976? y + 6450970 What is the t'th term of -4137, -9013, -17143, -28521, -43141? t**3 - 1633*t**2 + 16*t - 2521 What is the b'th term of -11599158, -23198314, -34797470, -46396626, -57995782, -69594938? -11599156*b - 2 What is the d'th term of 13397778, 26795548, 40193318? 13397770*d + 8 What is the h'th term of -1296, -4018, -6752, -9504, -12280, -15086, -17928? -h**3 - 2715*h + 1420 What is the b'th term of -297, -322, -325, -306, -265, -202? 11*b**2 - 58*b - 250 What is the x'th term of -673, -1011, -1349, -1687? -338*x - 335 What is the o'th term of 23165, 14524, 5883, -2758? -8641*o + 31806 What is the x'th term of -2577, -2751, -3045, -3459? -60*x**2 + 6*x - 2523 What is the i'th term of 3893, 15277, 34265, 60857, 95053, 136853? 3802*i**2 - 22*i + 113 What is the r'th term of 1026064, 1026
{ "pile_set_name": "DM Mathematics" }
14/84. Suppose 5*f + c*p - 3*p - 1 = 0, 0 = -2*f + 4*p - 8. Determine k, given that -f*k**3 + 0 - 2/3*k - 2/3*k**4 - 2*k**2 = 0. -1, 0 Let g(z) = 91*z + 2. Let t be g(0). Let c = -7441/5 + 1497. Let 56/5*j**t + 2/5*j**5 + c*j**3 + 16/5*j**4 + 34/5*j + 8/5 = 0. Calculate j. -4, -1 Let c = -196 + 1664. Let a = c + -7332/5. Let -2/5*d**2 + a - 11/5*d**3 + 12/5*d - 1/5*d**5 - 6/5*d**4 = 0. Calculate d. -2, -1, 1 Let r(j) = -j**3 - 67*j**2 - 206*j - 192. Let c = 41 + -43. Let d(w) = -w**3 - 34*w**2 - 104*w - 96. Let l(y) = c*r(y) + 5*d(y). Solve l(p) = 0. -8, -2 Suppose 0 = 4*n + 32 - 48, 4*c - 2*n = 3608. Determine j so that 338*j**2 - 1424*j + 87 + 113 + c*j = 0. 10/13 Let q(t) be the first derivative of -t**6/240 + t**4/48 - t**2/2 - 20*t + 99. Let w(r) be the second derivative of q(r). Find v, given that w(v) = 0. -1, 0, 1 Let b(c) = -13*c**2 - 5*c + 36. Let z(i) = -i**2 - i + 1. Let k(g) = b(g) - 6*z(g). Let u(t) = 13*t**2 - 3*t - 58. Let s(o) = -5*k(o) - 3*u(o). Factor s(v). -4*(v - 3)*(v + 2) Let o be (99 + -237)*(0 + (-10)/(-4)). Let i = 697/2 + o. Factor -5*p**3 - 12*p**2 - 1/2*p**4 - 11*p - i. -(p + 1)**3*(p + 7)/2 What is a in 46/3*a**3 + 44/3*a**2 - 94/3*a + 4/3 = 0? -2, 1/23, 1 Let l = 340811/27 + -12622. Let o(x) be the first derivative of l*x**3 - 14/9*x**2 - 1/12*x**4 + 4/3*x - 8. Factor o(y). -(y - 3)*(y - 2)*(3*y - 2)/9 Let o be 54/(-21)*32*102/1088*(-21)/27. Factor -4/5*d + 4*d**2 - 37/5*d**3 + 0 + o*d**4 - 9/5*d**5. -d*(d - 1)**2*(3*d - 2)**2/5 Let o(y) be the third derivative of 3*y**8/112 - y**7 + 333*y**6/40 - 53*y**5/10 - 132*y**4 - 272*y**3 - 1424*y**2. Suppose o(w) = 0. Calculate w. -1, -2/3, 4, 17 Let s be (2 + -2)/(7 - 8). Factor 3*u**2 - 5 - 1 - 9 + s*u - 9*u + 3. 3*(u - 4)*(u + 1) Suppose -14*h = -5*q - 87 + 20, 0 = -3*h - 4*q - 11. What is c in 26/9*c**4 + 0 - 8/9*c**2 + 0*c - 8/9*c**h - 10/9*c**5 = 0? -2/5, 0, 1, 2 Suppose -1249 + 1261 = -3*f. Let x(h) = -h**3 + 2*h**2 - 8*h + 11. Let o(a) = 7 - 3*a + a**2 - 3 + 0*a. Let b(v) = f*x(v) + 11*o(v). Factor b(j). j*(j + 1)*(4*j - 1) Let k(o) be the third derivative of -o**8/26880 - o**5/60 - 4*o**3/3 - 3*o**2 + 5. Let y(h) be the third derivative of k(h). Determine w so that y(w) = 0. 0 Let x(y) be the first derivative of -3*y**4 + 436*y**3/3 - 72*y**2 + 3708. Let x(k) = 0. Calculate k. 0, 1/3, 36 Suppose -6*a - 9 + 21 = -11 - 1. Let 4*s**2 - 2/3*s**3 + 0*s + 0 - 2/3*s**a = 0. What is s? -3, 0, 2 Let p = -84212 + 84214. Factor 15/4*l**p + 1/4*l**4 + 0 + 9/4*l + 7/4*l**3. l*(l + 1)*(l + 3)**2/4 Let z(m) be the first derivative of -2*m**3/15 - 502*m**2/5 - 126002*m/5 + 197. What is n in z(n) = 0? -251 Factor 15/8*h**2 - 51/2 - 63*h. 3*(h - 34)*(5*h + 2)/8 Let z(p) be the second derivative of p**6/75 - 181*p**5/25 + 30901*p**4/30 + 22444*p**3 + 172980*p**2 - 80*p + 43. Factor z(h). 2*(h - 186)**2*(h + 5)**2/5 Let -1/2*u**4 - 588*u + 586*u**2 - 145*u**3 + 0 = 0. Calculate u. -294, 0, 2 Let g(k) = 5*k + 317. Let n be g(-21). Let c = n + -187. Solve 1/2*t**4 + 5/2*t**2 - 4*t**3 + 0 + c*t = 0 for t. -2, 0, 5 Suppose -540184*f**2 + 414*f**3 + 540626*f**2 + 2*f**5 - 2352*f + 2*f**4 + 52*f**4 + 1440 = 0. Calculate f. -12, -5, 1 Let c be (16/(-6) - 3/(1 - 19))*456/(-380). Let d = -4 + 6. Determine f, given that 2*f - 14*f**c + 4/3 - 40/3*f**d = 0. -1, -2/7, 1/3 Let y = 273 + -271. Let b be -8 + (-32)/10*(-20)/8. Solve 5/7*w - 1/7*w**y + b = 0. 0, 5 Let l = -708 - -678. Let v be l/9*3/(-7)*1. Solve 0 - 4/7*o + v*o**2 - 6/7*o**3 = 0 for o. 0, 2/3, 1 Let x = -4985 + 7114. Let c = x + -2129. Factor 3/8*t**3 + c + 3/8*t**4 + 9/8*t - 15/8*t**2. 3*t*(t - 1)**2*(t + 3)/8 Let b(l) = 27*l**2 + 105*l + 693. Let w(s) = 2*s**2 - 2*s + 7. Let x(j) = -b(j) + 15*w(j). Suppose x(o) = 0. What is o? -4, 49 Suppose 0 = -s - 3, 3 = -2*w - 4*s + 1. Let -126*n**2 + 121*n**2 + 5 - w - 105*n = 0. Calculate n. -21, 0 Let y = -414 + 416. Let -11 + u**2 + 44*u - 3*u**y + u**2 - 16 - 16 = 0. Calculate u. 1, 43 Let h be ((-9)/(-12)*3)/(((-2565)/24)/(-57)). Factor 2*q**2 - h - 28/5*q. 2*(q - 3)*(5*q + 1)/5 Suppose -5*m - 2*w + 4*w + 373 = 0, 5*w - 380 = -5*m. Solve 10 - m*o + 14 - 37 + 81*o**2 + 7 = 0 for o. -2/27, 1 Suppose 0 = -4*t + 362 - 350. Factor 8 + 3*h**2 - 13 + 3*h - 7 + 4*h**2 - t*h**3 + 5*h**2. -3*(h - 4)*(h - 1)*(h + 1) Let r(g) be the first derivative of 14 + 1/20*g**5 + 2*g**3 + 5/8*g**4 + 4*g**2 + 0*g. Let y(u) be the second derivative of r(u). Solve y(j) = 0 for j. -4, -1 Let r(a) be the second derivative of -a**7/252 + 959*a**6/180 + 641*a**5/20 + 2887*a**4/36 + 3851*a**3/36 + 321*a**2/4 - 302*a. Factor r(x). -(x - 963)*(x + 1)**4/6 Let x(c) be the first derivative of c**6/14 + 294*c**5/5 + 350883*c**4/28 - 33712*c**3 + 177504*c**2/7 + 5345. Factor x(k). 3*k*(k - 1)**2*(k + 344)**2/7 Let b(r) be the third derivative of 3*r**8/112 + 142*r**7/5 + 219453*r**6/20 + 1611753*r**5 - 10793861*r**4/8 - 211*r**2 + r. Factor b(y). 3*y*(y + 221)**3*(3*y - 1) Let b(t) be the first derivative of 2/21*t**3 + 15/2*t**2 - 270 - 53/7*t. What is n in b(n) = 0? -53, 1/2 Let o(z) be the third derivative of 4/7*z**5 + 0*z + 0*z**3 - 5*z**2 - 29 + 25/21*z**4 + 1/20*z**6 + 1/735*z**7. Factor o(i). 2*i*(i + 1)*(i + 10)**2/7 Let f(u) be the first derivative of 0*u**2 + 0*u + 1/16*u**6 + 9/32*u**4 - 3/10*u**5 + 0*u**3 + 64. Determine h so that f(h) = 0. 0, 1, 3 Let u = 2852 - 2848. Let y(w) be the second derivative of 9*w + 0 - 1/6*w**u + 0*w**2 + 0*w**3. Let y(o) = 0. Calculate o. 0 Let n(v) = -28*v**2 - 36*v - 108. Let m(g) = g**2 - 4*g. Let i(l) = -12*m(l) - n(l). Factor i(b). 4*(b + 3)*(4*b + 9) Let u = 1220561/56952 + -23/8136. Factor 10/7*r - u - 2/7*r**3 + 2*r**2. -2*(r - 5)**2*(r + 3)/7 Let b(u) be the first derivative of u**4/22 + 178*u**3/33 - 368*u**2/11 + 744*u/11 - 1914. Let b(i) = 0. Calculate i. -93, 2 Let t = -27 - -23. Let r be (-3)/(-12) + (-7)/t. Factor -2*p**3 + 27*p**2 - 9*p**2 - 16*p - 2*p**r - 4*p**2. -2*p*(p - 4)*(p - 2) Solve -18*u**4 + 6524*u + 8176*u + 3*u**5 + 2535*u**2 - 1275*u**2 - 393*u**3 = 0. -7, 0, 10 Let o(q) be the first derivative of q**4/30 + 94*q**3/45 + 616*q**2/15 + 968*q/5 + 1064. Solve o(w) = 0 for w. -22, -3 Suppose f = s - 116, s + 3*s - 236 = 2*f. Let k = f - -130. Factor -39*u**3 - 4*u - 100 + 501*u**2 + 124*u**2 - k*u + 164*u**3. 5*(u + 5)*(5*u - 2)*(5*u + 2) Let x(b) be the third derivative of b**6/40 + 7*b**5/20 - 9*b**4/4 - 1157*b**2. Factor x(u). 3*u*(u - 2)*(u + 9) Let y = 583974 + -583974. Factor y*v - 2/5*v**4 + 0 + 38/5*v**2 + 36/5*v**3. -2*v**2*(v - 19)*(v + 1)/5 Let r(b) be the third derivative of 0*b**4 - b**2 + 2/135*b**6 + 0 + 1/945*b**7 + 0*b**3 - 1/30*b**5 + 59*b. What is u in r(u) = 0? -9, 0, 1 Let g = -311012 + 933037/3. Factor 7/3*f**2 - 8*f + g*f**3 - 60. (f - 5)*(f + 6)**2/3 Factor -16/3 + 19/9*g - 1/9*g**2. -(g - 16)*(g - 3)/9 Let a(f) be the first derivative of -f**6/70 - 9*f**5/70 - 2*f**4/7 + 66*f + 38. Let t(h) be the first derivative of a(h). What is k in t(k) = 0? -4, -2, 0 Let v be (-2 + 2/(-3))*15390/(-20520). Factor 8*f - 2/9*f**v + 74/9. -2*(f - 37)*(f + 1)/9 Let h be ((-874)/161)/(-19) - 880/(-105). Solve 40/3*n**2 - 10/3*n**5 - 16/3*n + 0 + 4*n**3 - h*n**4 = 0 for n. -2, 0, 2/5, 1 Determine h, given that 72*h**2 + 2/7*h**4 - 112*h + 0 - 60/7*h**3 = 0. 0, 2, 14 Let f = -8236/5 - -1650. Let k(b) be the first derivative of f*b**4 + 4/15*b**6 - 6 + 8/5*b**2 + 44/15*b**3 + 34/25*b**5 + 2/5*b. Find y such that k(y) = 0. -1, -1/4 Let s = -215 - -395. Find y, given that 176*y**3 - s*y + 4*y**5 - 648 - 2*y**4 - 67*y**4 + 5*y**4 + 712*y**2 = 0. -2, -1, 1, 9 Let t(a) be the second derivative of a**4/24 - 103*a**3/4 - 311*a**2/2 - 15*a + 69. Factor t(u). (u - 311)*(u + 2)/2 Suppose -7*t - 483 = 266. Let f = 127 + t. Factor -f*g**3 - 441*g**2 - 3*g**4 + 421*g**2 - 2*g**4. -5*g**2*(g + 2)**2 Let k(r) be the first derivative of -2/27*r**3 + 132 - 9800/9*r - 140/9*r**2. Suppose k(a) = 0. Calculate a. -70 Let p = 753 - 734. Let -40 + 44*j - p*j**2 + 83*j**2 - 21*j**2 - 25*j**2 - 22*j**2 = 0. Calculate j. 1, 10 Factor 2/3*j**2 + 704/3 - 706/3*j. 2*(j - 352)*(j - 1)/3 Factor -5/3 - 245760*f**2 - 1280*f. -5*(384*f + 1)**2/3 Let t be (((-39875)/220)/(-145))/(10/4). Find r such that 5/2 + 3/2*r**2 + 9/2*r - t*r**3 = 0. -1, 5 Let t(z) be the first derivative o
{ "pile_set_name": "DM Mathematics" }
1, h: 2, t: 1}? 2/35 Calculate prob of picking 2 l when two letters picked without replacement from lllmmllmlllmll. 45/91 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {h: 1, g: 1, b: 1}. 1/3 Calculate prob of picking 1 d, 1 h, and 2 r when four letters picked without replacement from {h: 1, k: 1, g: 6, m: 2, d: 3, r: 2}. 1/455 Two letters picked without replacement from {r: 2, y: 1, a: 1}. What is prob of picking 1 r and 1 y? 1/3 Three letters picked without replacement from {x: 1, b: 3, l: 3, i: 3, m: 3, n: 1}. What is prob of picking 3 i? 1/364 Three letters picked without replacement from {c: 5, w: 2, b: 3}. Give prob of picking 2 w and 1 c. 1/24 Two letters picked without replacement from vfdcjtvtc. What is prob of picking 1 c and 1 v? 1/9 Four letters picked without replacement from {s: 7, k: 3, t: 1, e: 1}. What is prob of picking 2 k and 2 s? 7/55 What is prob of picking 3 d when three letters picked without replacement from hdhhhhhhhd? 0 Four letters picked without replacement from {n: 1, w: 3, d: 5}. Give prob of picking 3 d and 1 n. 5/63 Two letters picked without replacement from {v: 1, e: 4, d: 2, p: 7, u: 4}. Give prob of picking 1 v and 1 u. 4/153 Calculate prob of picking 2 i when two letters picked without replacement from xxiixii. 2/7 Two letters picked without replacement from nwteedtetttn. Give prob of picking 1 e and 1 n. 1/11 What is prob of picking 1 c, 2 s, and 1 k when four letters picked without replacement from {i: 3, t: 7, k: 3, c: 1, s: 1, o: 3}? 0 Two letters picked without replacement from pmsmmsmvjmnsj. Give prob of picking 1 s and 1 j. 1/13 Two letters picked without replacement from {y: 2, u: 2, a: 4, p: 4}. Give prob of picking 1 a and 1 y. 4/33 What is prob of picking 4 t when four letters picked without replacement from ttttttt? 1 Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaaoaaz. 26/35 What is prob of picking 1 j and 1 f when two letters picked without replacement from ftjjtfttfjfttjtjjff? 4/19 What is prob of picking 1 j and 1 w when two letters picked without replacement from jjw? 2/3 What is prob of picking 4 e when four letters picked without replacement from exeexeexeeexwxxwe? 9/170 What is prob of picking 2 o when two letters picked without replacement from {o: 5}? 1 Two letters picked without replacement from kvkkvvkvvvkvk. What is prob of picking 2 k? 5/26 What is prob of picking 3 p when three letters picked without replacement from {m: 1, z: 1, l: 3, n: 2, p: 3}? 1/120 What is prob of picking 4 w when four letters picked without replacement from wwpwpwwpwp? 1/14 Three letters picked without replacement from {j: 6}. Give prob of picking 3 j. 1 What is prob of picking 2 t when two letters picked without replacement from nfkdktudtuktft? 6/91 What is prob of picking 1 i and 1 b when two letters picked without replacement from {x: 3, q: 2, b: 1, i: 3, a: 1}? 1/15 What is prob of picking 2 k when two letters picked without replacement from kkktttkkktk? 21/55 Calculate prob of picking 1 p, 1 q, and 1 r when three letters picked without replacement from qpcrrrpsrrqrp. 18/143 Three letters picked without replacement from {z: 4}. What is prob of picking 3 z? 1 Four letters picked without replacement from {x: 6, n: 1, s: 1, w: 5, f: 2}. What is prob of picking 2 w, 1 f, and 1 x? 8/91 Calculate prob of picking 1 e and 2 l when three letters picked without replacement from lzzcelfccc. 1/120 Four letters picked without replacement from aaaaqqqqaqqaaaqqaaq. Give prob of picking 1 a and 3 q. 70/323 Calculate prob of picking 3 k and 1 w when four letters picked without replacement from kkwwkkkkkkkwkkkwkk. 364/765 Three letters picked without replacement from allsaaasaammalnl. Give prob of picking 1 n and 2 a. 3/80 What is prob of picking 1 i and 1 w when two letters picked without replacement from cwivccciggcvcigw? 1/20 Two letters picked without replacement from ruzulvluvvzlvuuuzrzj. Give prob of picking 1 v and 1 r. 4/95 Calculate prob of picking 2 m when two letters picked without replacement from mjjrjsrmjsxmssxssmsj. 3/95 Two letters picked without replacement from {l: 1, b: 5, f: 11}. What is prob of picking 1 b and 1 l? 5/136 What is prob of picking 3 q when three letters picked without replacement from {e: 2, q: 6}? 5/14 Calculate prob of picking 1 t and 1 q when two letters picked without replacement from qkktj. 1/10 Three letters picked without replacement from {n: 3, k: 9}. Give prob of picking 3 k. 21/55 Four letters picked without replacement from bbababababbbbababaob. Give prob of picking 4 b. 33/323 Three letters picked without replacement from {r: 4, z: 10}. Give prob of picking 1 z and 2 r. 15/91 Three letters picked without replacement from {m: 9, a: 3}. What is prob of picking 3 m? 21/55 Two letters picked without replacement from pahnahhnpnn. Give prob of picking 2 n. 6/55 What is prob of picking 1 i and 2 p when three letters picked without replacement from {k: 3, i: 12, p: 2}? 3/170 What is prob of picking 1 x, 1 j, and 1 r when three letters picked without replacement from {x: 4, d: 1, u: 1, m: 1, j: 8, r: 1}? 2/35 Calculate prob of picking 2 e when two letters picked without replacement from eeeaayaeey. 2/9 Three letters picked without replacement from {y: 4, q: 2, v: 1}. Give prob of picking 1 y and 2 q. 4/35 What is prob of picking 1 b and 2 p when three letters picked without replacement from bibiasbppoi? 1/55 Three letters picked without replacement from {v: 2, a: 6}. What is prob of picking 1 a and 2 v? 3/28 Calculate prob of picking 3 r when three letters picked without replacement from {q: 3, r: 8}. 56/165 Three letters picked without replacement from vvvvttttvttvvvtvtvt. What is prob of picking 3 t? 28/323 Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, e: 9, n: 2, c: 1}. 1/20 What is prob of picking 3 q when three letters picked without replacement from lrqqqrq? 4/35 Two letters picked without replacement from {f: 1, i: 1, w: 1, l: 1, c: 2, o: 1}. What is prob of picking 1 i and 1 o? 1/21 Four letters picked without replacement from zqquzziqiqqzuiizzz. Give prob of picking 2 q and 2 i. 1/51 Two letters picked without replacement from bhhbbbbh. What is prob of picking 1 b and 1 h? 15/28 Two letters picked without replacement from {k: 4, g: 4, d: 5, j: 1, t: 1, n: 3}. What is prob of picking 1 k and 1 t? 4/153 What is prob of picking 3 r and 1 e when four letters picked without replacement from yyvryyeryyrrryrre? 1/34 What is prob of picking 1 n and 1 m when two letters picked without replacement from {s: 10, n: 2, m: 2, h: 1, i: 1}? 1/30 Calculate prob of picking 1 u, 2 v, and 1 l when four letters picked without replacement from vbulubvulbuubll. 4/273 Calculate prob of picking 2 d when two letters picked without replacement from {a: 1, d: 3}. 1/2 Four letters picked without replacement from {m: 5, y: 1, a: 2, h: 1, n: 3}. Give prob of picking 1 n, 1 a, and 2 m. 4/33 Two letters picked without replacement from yyjyjyy. What is prob of picking 2 y? 10/21 Calculate prob of picking 1 i and 3 m when four letters picked without replacement from miqmmmiqqimmmiqq. 1/13 What is prob of picking 1 p and 1 d when two letters picked without replacement from {d: 2, p: 1, o: 1, n: 1}? 1/5 What is prob of picking 1 e, 1 k, and 1 s when three letters picked without replacement from {e: 2, v: 1, s: 3, f: 1, k: 3}? 3/20 Two letters picked without replacement from {i: 2, n: 2, g: 5}. What is prob of picking 2 i? 1/36 What is prob of picking 1 g and 1 w when two letters picked without replacement from {z: 1, w: 3, s: 3, t: 2, g: 1}? 1/15 Three letters picked without replacement from {g: 8, c: 2, e: 4, s: 3}. Give prob of picking 3 e. 1/170 Calculate prob of picking 2 t when two letters picked without replacement from nttt. 1/2 Calculate prob of picking 1 b, 1 c, and 1 l when three letters picked without replacement from {e: 3, l: 4, b: 7, c: 1, z: 3}. 7/204 Calculate prob of picking 1 e and 1 p when two letters picked without replacement from ppprrerrrrpepeeppprr. 16/95 Calculate prob of picking 2 z when two letters picked without replacement from {f: 1, h: 2, z: 2, o: 4, u
{ "pile_set_name": "DM Mathematics" }
**0)**(-5/19) assuming w is positive. w**5 Simplify (x*x*x*x**(-1)*x)/(x*x**(-7))*x/(x/(x*x/x**1))*x**(-2/3)*x assuming x is positive. x**(31/3) Simplify s/s**(-5)*s**6*s**(-4/11)*s*s*s*s**(-8) assuming s is positive. s**(73/11) Simplify (f**(-21))**(-3/5) assuming f is positive. f**(63/5) Simplify (l**(-4)*l**(-3)/l)/((l/(l/(l**(-4)/l)))/(l*l/(l*l/(l**(-4)/l))*l)) assuming l is positive. l**(-7) Simplify (y/y**(-5/4))/(y**(-3)/y)*(y/y**3*y)**(-2/7) assuming y is positive. y**(183/28) Simplify w*w/(w*w**(-15)*w)*((w*w**16)/w)/w assuming w is positive. w**30 Simplify (r**(-18))**(-1/3) assuming r is positive. r**6 Simplify (k*k**(-3/22))**(-1/10) assuming k is positive. k**(-19/220) Simplify x**(-4/9)*x*(x*x/(x*x*x**(-14)))/x assuming x is positive. x**(122/9) Simplify (r/((r**(-2/5)/r)/r)*r)/(r/(r/((r/(r*r*r/((r**(2/3)/r)/r)*r)*r)/r*r)))*((r*r/r**(1/2))/r)**(3/22) assuming r is positive. r**(5149/660) Simplify (n**(-3/2))**(-3) assuming n is positive. n**(9/2) Simplify (f**(-1/14))**38 assuming f is positive. f**(-19/7) Simplify (a/((a/((a**(6/23)/a)/a))/a))/(a/(a/(a/a**(-1/9)))) assuming a is positive. a**(-383/207) Simplify (k/(k/(k*k**(-2))))**15*k**(-2/13)/k**(3/5) assuming k is positive. k**(-1024/65) Simplify (b**(-13)*b*b/b**(-2/11))**(3/8) assuming b is positive. b**(-357/88) Simplify ((d*d**(-2)/d)/d)**(-11) assuming d is positive. d**33 Simplify (b*b*b*(b/(b*b**7*b))/b)**50 assuming b is positive. b**(-300) Simplify (y*y**(2/5))**36/(y**(-7)*y*y/y**4) assuming y is positive. y**(297/5) Simplify ((y**(-8)*y)/(y**(1/9)/y*y))/(y**(-4)*(y/(y*y**(2/3)))/y) assuming y is positive. y**(-13/9) Simplify (y/(y/(y*y*(y*y*y*y/(y/(y*y**8/y))*y)/y*y))*y**(-3)/y)/((y*y**(-7))/y**(-5/2)) assuming y is positive. y**(27/2) Simplify i**(-18)*i/(i*i*i*i**(1/29)*i) assuming i is positive. i**(-610/29) Simplify m**(-25)*m**(1/7)*m assuming m is positive. m**(-167/7) Simplify (z/z**(-2/19)*z)/z**4 assuming z is positive. z**(-36/19) Simplify o**(4/3)*o*o**(-1/13)*o*(o*o**(2/3))**5 assuming o is positive. o**(452/39) Simplify ((d/d**(-3/8)*d*d*d*d)/(d*d/(d/(d**(-1/6)/d))))/((d**(2/5)/d)/d**(-5)) assuming d is positive. d**(137/120) Simplify (n*n*n**(-1/8)*n*n)/(n/((n*n*n*n/(n/(n/n**(3/7))))/n)) assuming n is positive. n**(305/56) Simplify c*c/(c/(c*c/(c/c**(-2))))*c**25 assuming c is positive. c**25 Simplify k**(-3/7)*(k/k**(-2/15))/k assuming k is positive. k**(-31/105) Simplify q**9*((q**(-19)/q)/q)/q assuming q is positive. q**(-13) Simplify c**(6/5)/((c*(c*c**(-10)*c)/c)/c) assuming c is positive. c**(51/5) Simplify (o**(-1)*(o*o**(-3/10)*o)/o)/(o**(2/7))**3 assuming o is positive. o**(-81/70) Simplify (f/(f**3/f)*f*(f**(6/11)*f)/f)/(((f*f**5)/f)/f**(-3/5)) assuming f is positive. f**(-278/55) Simplify (a**4/(a*a*a/(a*a*a**(2/9))))**(14/3) assuming a is positive. a**(406/27) Simplify ((o**(2/25)/o)/(o**(-5)*o*o*o))/((o*o/o**0*o)/o)**(-8/3) assuming o is positive. o**(481/75) Simplify (v*v**(3/2))**3 assuming v is positive. v**(15/2) Simplify (u/(u*u*u*(u**7*u)/u*u)*u)/u**15 assuming u is positive. u**(-24) Simplify (n*((n/n**(10/7))/n)/n)**8 assuming n is positive. n**(-80/7) Simplify (y**1/y)**(-50) assuming y is positive. 1 Simplify f**(4/7)*f**(-2/15)/f*((f*f**(-5))/f)/(f*f**(-6)) assuming f is positive. f**(-59/105) Simplify (w**(-8)/w)/(w*w**(-5)) assuming w is positive. w**(-5) Simplify ((v**2)**49)**20 assuming v is positive. v**1960 Simplify (b/b**6)/((b*b*b*b/((b**(1/5)/b*b)/b))/b)*(b*b**2*b*b)**(14/3) assuming b is positive. b**(218/15) Simplify (d*d**(-1/2)*d*d/((d**(-1/2)*d)/d))**10 assuming d is positive. d**30 Simplify (c**(-5)/(c/(c/((c*c/(c/c**(-3)))/c))*c))/((c*(c/(c/((c/((c*c/c**5*c)/c))/c)))/c)/c*c**(1/6)) assuming c is positive. c**(-31/6) Simplify (s*s*s**6)/(s/s**(1/2)*s*s) assuming s is positive. s**(11/2) Simplify (y**(-1/4)*y*y)**(-2/45)*(y/(y**(1/3)*y))/y**(3/2) assuming y is positive. y**(-86/45) Simplify a**(1/7)*a/a**(-2/5)*a**(-2/11)*a**(-6) assuming a is positive. a**(-1786/385) Simplify m**(17/5)/(m*m**(-35)/m) assuming m is positive. m**(192/5) Simplify (o**(1/2)*o)**7/((o/((o/o**(2/13))/o))/o**0) assuming o is positive. o**(243/26) Simplify (f**(-6))**(-1/2) assuming f is positive. f**3 Simplify ((i*(i*i/(i*i/(i*i**(2/9))))/i)**4)**29 assuming i is positive. i**(1276/9) Simplify d/(d**(-8)/d)*d**17 assuming d is positive. d**27 Simplify ((s/(s/(s/s**0)*s*s))/s)**(-1/20)/((s**(-6)/s)/((s/s**(-11)*s)/s)) assuming s is positive. s**(191/10) Simplify ((y*y**7)/(y**7*y))**(-4/23) assuming y is positive. 1 Simplify s/s**(-2/19)*s*s**(-6)*s/s**6*s*s**1*s assuming s is positive. s**(-112/19) Simplify y**(-15)*((y/(y/y**(1/6)))/y)/y*y assuming y is positive. y**(-95/6) Simplify ((d*d*d**32/d*d)/d)/(d/(d/(d/d**16))) assuming d is positive. d**48 Simplify (a**(-7)*(a*a*a/(a*(a/a**7)/a)*a)/a)/(a*a**(-1/3)/a)**(-2) assuming a is positive. a**(4/3) Simplify x/(x*(x**(-7/3)*x)/x)*x*x**(-11)*x assuming x is positive. x**(-20/3) Simplify ((x/(x**6/x))/x**(5/2))**7 assuming x is positive. x**(-91/2) Simplify m*m/m**(-1/7)*m**14 assuming m is positive. m**(113/7) Simplify (p**(-2/5))**(12/7)*p**8*p*p**(5/3)*p assuming p is positive. p**(1153/105) Simplify (t**17/t)/((t*t/(t*t**(-14)))/t) assuming t is positive. t**2 Simplify (w**(1/6)/w*(w/(w/w**(-2/21)))/w)/(w**(-1/2)/(w/(w/(w*w**(-5)))*w)) assuming w is positive. w**(-31/7) Simplify l**(-20)/l**(2/37) assuming l is positive. l**(-742/37) Simplify (g/(g*g/(g/g**(-10))*g)*g/(g**(2/13)*g))/(g**(2/11)/(g**(-11)/g*g)) assuming g is positive. g**(-334/143) Simplify (n**(2/7)/n)/((n**5/n)/n)*(((n*n**(-1))/n)/n)**13 assuming n is positive. n**(-208/7) Simplify (z*((z*z*z**7)/z)/z*z*z*z**(-2/5))/(z/(((z*z**(-1))/z)/z))**(-2/99) assuming z is positive. z**(1594/165) Simplify (((h**(-1/3)*h)/h*h*h)/h*h/h**1)/(h**(-3/14)*h/h**(1/7)) assuming h is positive. h**(1/42) Simplify (w/((w**0*w)/w*w))/w**(-3)*(w/(w*(w*w/(w**(-1)*w))/w*w))**(-49) assuming w is positive. w**101 Simplify (k**(-3/5))**38 assuming k is positive. k**(-114/5) Simplify (c**(2/9)*c)/c*c*c**(-8)/c assuming c is positive. c**(-70/9) Simplify (t/(t**(1/2)*t))**(-17)*(t/t**2*t)**(-2/79) assuming t is positive. t**(17/2) Simplify (((u*u**(2/9)*u*u)/u)/u)/(u*u**(2/9))*u/((u**(5/6)*u)/u)*u/u**(-9) assuming u is positive. u**(61/6) Simplify s**(-3)/(s/(s*(s*s**(1/4))/s))*(s/(s**(-2)/s))/(s*s/s**(-2/11)) assuming s is positive. s**(-41/44) Simplify (w**(-8/5)/w)/((w**(1/9)/w*w)/w)*w**(-3/5)*w**(-1/17) assuming w is positive. w**(-1813/765) Simplify u/(u**0/u)*u**(-17) assuming u is positive. u**(-15) Simplify ((h*h**(-4))/h**(-1/9))**(1/10) assuming h is positive. h**(-13/45) Simplify (b/b**(2/3))/(b**(-2/67)*b) assuming b is positive. b**(-128/201) Simplify r**(-2/9)/r**(-6)*r**(-1/8)/(r*r*r/(r**2*r)*r) assuming r is positive. r**(335/72) Simplify (z/(z/z**(2/63)))/(z/z**(-2/15)*z) assuming z is positive. z**(-662/315) Simplify ((p**1/p)**(-2/33))**(-11) assuming p is positive. 1 Simplify (k**1)**48*k**(-7)/(k/(k*k*k*k**4*k)) assuming k is positive. k**48 Simplify ((t**(1/5))**(-3/17))**(-5) assuming t is positive. t**(3/17) Simplify (v**21/v)**39 assuming v is positive. v**780 Simplify (c**1)**(-3/13)/((((c/c**(-4))/c)/c)/c*c/(c**(-2/7)/c)) assuming c is positive. c**(-411/91) Simplify u**(-6/7)*u/(u/u**(-1))*(u**1)**(-50) assuming u is positive. u**(-363/7) Simplify ((g**29/g)/g)/g**26 assuming g is positive. g Simplify t**1/t*t**7*(t*(t*t*t*t**(-1/3))/t)**40 assuming t is positive. t**(341/3) Simplify (m/m**(-14))**(-2/67) assuming m is positive. m**(-30/67) Simplify (o/(o**(-23)*o*o))/((o*o/(o*o*o**(-2)))/o) assuming o is positive. o**21 Simplify w**(-3/2)/(w*w**(-17)) assuming w is positive. w**(29/2) Simplify (z**1)**(-1/5)*z**6/(z*z**4) assuming z is positive. z**(4/5) Simplify q**(-7/2)*q**(15/4) assuming q is positive. q**(1/4) Simplify (k/(k*k**(2/21))*k**(14/3))**36 assuming k is positive. k**(1152/7) Simplify (l**0/(l*l**(-1/2)*l*l*l))**(2/93) assuming l is positive. l**(-7/93) Simplify ((p/(p/p**(-1/2)*p))**(-30))**(1/7) assuming p is positive. p**(45/7) Simplify v**(-1/2)*v*v*v**(-5)*v**1/v*v/(v*((v*v**10)/v)/v*v) assuming v is positive. v**(-27/2) Simplify (a*a**(-1/4))**(4/11)/((a/((a**(-1/8)*a)/a*a)*a)/a*a**7) assumin
{ "pile_set_name": "DM Mathematics" }
0 = 4*v - 9 - 11. Suppose 0 = -v*k + p*x - 0*x + 40, -k - 11 = 3*x. Let f(g) = -g**2 + 4*g - 5. Give f(k). -5 Let f(l) = -l**3 - 4*l**2 - 3*l - 1. Let g = -5 + 2. Give f(g). -1 Let i(d) = d**2 + d - 6. Let s be i(-3). Let l(z) = -z**3 + z**2 - z + 10. What is l(s)? 10 Let c(a) = a - 3. Let p be c(6). Suppose -5*i + i = -12. Let s(u) = -2*u**2 + 4*u**2 - u - i - 2*u. Give s(p). 6 Let w(r) = -2*r**2 - 2*r - 1. Let n be ((-6)/(-10))/(1/(-5)). Let v(j) = j**3 + 4*j**2 + 5*j + 4. Let z be v(n). Give w(z). -5 Let o = -30 - -32. Let r(j) be the third derivative of -1/60*j**5 + 0*j + 1/2*j**3 - 3*j**o + 0*j**4 + 0. What is r(-3)? -6 Let q(y) = -4*y**2 + y - 4*y**3 - y**3 + 6*y**3 - 1. Let i(a) = -a + 10. Let k be i(6). What is q(k)? 3 Let m(c) = c**3 - c**2 - c + 5. Let k be -2 - -4*(3 + -2). Let z(a) be the third derivative of -a**5/60 + a**4/12 + a**2. Let x be z(k). Calculate m(x). 5 Let f(g) = 6*g**2 + 2*g - 2. Let j(y) = 12*y**2 + 5*y - 5. Let s(u) = -5*f(u) + 2*j(u). Calculate s(-1). -6 Let p(a) be the third derivative of a**6/120 + a**5/20 - 5*a**4/24 - 2*a**3/3 + 20*a**2. Give p(-3). 11 Suppose 50 = a + 56. Let h(q) = -q**3 - 6*q**2 - 2*q - 6. What is h(a)? 6 Suppose 0*v = 4*v - 36. Suppose -4*l + v*l = -10. Let k(f) = f - 2. Give k(l). -4 Let f(w) = 2*w + 1. Let v(b) = b**2 - 6*b - 14. Let q be v(8). Give f(q). 5 Let s(q) = 6 + q**3 + 2*q - 5*q + 2*q + q**2. Give s(0). 6 Let a = 15 + -14. Let z(u) = 14*u**3 + 7*u**2 + 9*u. Let j(x) = 7*x**3 + 3*x**2 + 4*x. Let b(g) = 7*j(g) - 3*z(g). Calculate b(a). 8 Let d = 3 - 6. Let t(x) = 3*x - 7 + x**2 - 3*x**3 - 4*x + x**2. Let r(j) = 2*j**3 - 2*j**2 + 2*j + 6. Let v(c) = -4*r(c) - 3*t(c). Give v(d). 3 Let i = 30 - 24. Let n(x) = 7*x**3 - 10*x**2 - 21*x + 18. Let y(a) = -3*a**3 + 5*a**2 + 10*a - 9. Let q(f) = -2*n(f) - 5*y(f). What is q(i)? -3 Let j(l) = -l**2 + 8*l - 7. Let v(c) = 2*c**2 - 16*c + 14. Let z(w) = 5*j(w) + 3*v(w). Determine z(6). -5 Let j be 4/((10 + -8)*1/2). Let t(w) = -2*w**2 + 5*w - 6. Determine t(j). -18 Let l(p) = p + 3. Let o(t) = 3*t + 8. Let f(m) = -17*l(m) + 6*o(m). Let x = -12 + 18. Let h = x - 1. Give f(h). 2 Let n = 22 - 28. Suppose 2*a - 40 = 6*a. Let c = a - n. Let j(q) = q - 4. Determine j(c). -8 Suppose 10 = -3*d + 25. Let n(r) = -5*r**3 - 10*r**2 + 15*r - 17. Let s(c) = 4*c + c**2 - 2*c**3 - 4*c**2 + c - 6. Let x(v) = 3*n(v) - 8*s(v). Determine x(d). -3 Let z(r) = 3*r**2 + 2*r - 1. Let m = 18 - 38. Let d be (-2)/(-4)*m/5. Determine z(d). 7 Let u(t) = 2*t + 3. Let o(s) = -s**3 + 4*s**2 - s - 1. Let x be o(3). Suppose 4*p = 4, 2*q + 4 + 5 = x*p. What is u(q)? -1 Suppose -4 = h - 5*h. Suppose 5*t + 18 = -4*u - 15, 0 = -t + 3*u + h. Let f(w) = -w**3 - 4*w**2 + 7*w + 1. Calculate f(t). -9 Let g(o) = o**2 + o**2 + 5*o + 4 + 2*o. Let x = 6 - 2. Suppose 8 = -u + x. What is g(u)? 8 Let m = -13 - -8. Suppose 2*k + 5 = 3*c + 3*k, 0 = -3*k - 12. Let q(p) = 4*p + 6*p**2 + p**c + 0 + 4 - 3. Calculate q(m). 6 Let b be 8*(-2)/(-4)*1. Let h(i) = i**2 + 4*i + 1. Let t(z) = z**2 + 5*z + 2. Suppose -4*p + 18 + 10 = 0. Let a(v) = p*h(v) - 6*t(v). Give a(b). 3 Let h(r) = r**3 - 4*r**2 + 3*r - 1. Let f be h(3). Let s(b) = -8*b + 1. Calculate s(f). 9 Let z(n) = n**2. Let a = -6 + 3. Calculate z(a). 9 Let v(s) = s**3 - 5*s**2 + 6*s - 1. Let n(q) = -q**2 + 1. Let d(g) = g**2 - g. Let m(u) = 5*d(u) + 4*n(u). Let a be m(5). Calculate v(a). 7 Let k(t) = -t + 2. Let n = -6 + 21. Suppose -9*h + 25 = -4*h. Suppose 2*b + b = -3*v - n, -b - 3*v - h = 0. Determine k(b). 7 Let c = -17 - -33. Suppose -3*k = 37 - c. Let f(o) = o**3 + 8*o**2 + 8*o + 8. Give f(k). 1 Suppose 0 = 2*y + y - 6. Suppose -o = j, 4*j + 0*o - o = 10. Suppose -i - 3*a - j = -0*i, -y*i - 4 = 2*a. Let f(u) = 2*u**2 + 2*u + 3. Determine f(i). 7 Let v = -3 - -4. Let n(o) = -7*o**3 - 3*o**2 - o - 1. Let s(h) = -7*h**3 - 4*h**2 - h - 2. Let p(m) = -3*n(m) + 2*s(m). Give p(v). 8 Let q be (0 - 2/(-6))*27. Let k be q*(0 - 1/(-3)). Let g(p) = -p**k - 4 + p + 3 + 2*p + p**2 - 2*p. Calculate g(2). -3 Let d(q) be the second derivative of -q**4/12 - 3*q**3/2 - 4*q**2 - 2*q + 26. Give d(-6). 10 Let w(x) = -x**2 + x + 1. Suppose -19 = -5*m - f, -3*m + 3*f = 2*m - 23. Let u(n) = -8*n**2 - 3 - 2*n + m*n + 7. Let c(d) = -u(d) + 5*w(d). Give c(-2). 7 Let r be 10/(-35) + (-51)/(-7). Let m(n) = 9 + 0*n**2 - 3*n**2 - 7*n + r*n**2 - 3*n**2. Determine m(6). 3 Let h(p) = -p**2 + 7*p + 6. Suppose 2*b + 23 = 3*k + 3*b, 5*b + 5 = 0. What is h(k)? -2 Let h(i) be the second derivative of -i**5/20 + i**4/12 - i**3/3 + i**2/2 - i. Suppose x + 7 = 4. Let k = -2 - x. Calculate h(k). -1 Let b(s) be the third derivative of s**9/60480 - s**8/5040 - s**7/1008 - s**6/240 + s**5/15 - 4*s**2. Let a(d) be the third derivative of b(d). What is a(5)? -3 Let p(w) = w**3 + 13*w**2 + 5. Let u be p(-13). Let b(k) = k**3 - 1. Let s(y) = -4*y**3 - 5*y**2 - 7*y + 12. Let h(q) = u*b(q) + s(q). Give h(6). 1 Suppose -3*r - 12 = 5*n - 40, -5*n + 22 = -3*r. Let a(y) = 4*y**2 + 3*y + 2. Let q(f) = -5*f**2 - 3*f - 1. Let i(o) = -6*a(o) - 5*q(o). Determine i(n). 3 Let m(x) = x**2 + 4*x - 3. Let r be m(-5). Suppose -r = t - 3*t. Let y(p) = 0 - p**2 + p - t - 5*p. Calculate y(-4). -1 Suppose z + 5*y = -10, 5*z + 15 = 2*y - 8. Let n(r) be the second derivative of r**5/20 + r**4/3 - r**3/2 + 5*r**2/2 + 2*r. Give n(z). -5 Let y(f) = 7*f**2 + 4*f - 4. Let r(m) = -m**2 - m + 1. Let w(c) = -6*r(c) - y(c). Determine w(3). -5 Suppose n = 3*n - 3*z - 6, -n = 4*z - 25. Let j(d) = 0 - 7 + n - d. What is j(4)? -2 Let c(x) = x - 1. Let o(d) = d + 1. Let v(w) = -5*w. Let s(j) = -6*o(j) - v(j). Let g(a) = -5*c(a) + s(a). What is g(2)? -13 Let r(l) = -3*l - l - 4 - 3*l**2 + 7*l - l**3. Determine r(-3). -13 Let t(g) = -g**3 + 3*g**2 - g - 2. Suppose -4*h = -5*l - 10, 0*h = -5*l - 4*h + 30. Determine t(l). 0 Let d = -16 - -14. Let k(w) be the first derivative of -2*w**2 - 2*w + 1. What is k(d)? 6 Let w = 28 + -15. Let i(t) = 2 + 14*t**3 - 2 + 3*t - 2*t**2 - w*t**3. Suppose 0 = -3*k + 5 + 1. Give i(k). 6 Let g(x) be the first derivative of x**2/2 - 4*x - 16. Give g(-3). -7 Let h(p) = -p**2 - 4*p + 4. Suppose 2*u = -5 + 23. Let o be (-1)/(-3) + (-39)/u. Calculate h(o). 4 Let m(n) = n**2 - 6*n - 1. Suppose 5*u - 2*u = 15. What is m(u)? -6 Let i(t) = 7*t + 1. Let w = 18 + -17. What is i(w)? 8 Let h be (-1)/10 - 6/(-60). Let a(r) be the third derivative of 3*r**2 - 1/6*r**4 + 0*r + h - 1/60*r**5 + 1/120*r**6 + 2/3*r**3. Determine a(3). 10 Let d be ((-3)/(-3))/((-1)/(-1)). Let q be (-1 - d)/2 + 7. Let s(t) = -t + q - t + 3*t. Give s(-5). 1 Let n(p) be the second derivative of p**4/12 - 7*p**3/6 + 5*p**2/2 + 3*p. What is n(7)? 5 Let t(j) be the first derivative of j**4/4 - j**3 - j**2 + j - 3. Let c be t(3). Let l(b) = 2*b - 4. Give l(c). -14 Let y(z) = z**2 - 9*z + 7. Let m be 8/(-3)*-1*(2 - -1). What is y(m)? -1 Let g(b) = b**2 - 2 + 5 - 3*b - 2*b**2. Let n(o) = 2*o**3 + o**2 - 2*o + 1. Let f be n(1). Give g(f). -7 Let o(t) = -t + t**3 - 2*t**2 + 5 + 0*t + 3*t**2 + 2*t. Let a(g) = 1. Let s(d) = -2*a(d) - o(d). Suppose 4*q + 8 = 3*h - 4*h, -8 = -2*h + 4*q. What is s(h)? -7 Let x(t) = 2*t**3 + t**2 + 2. Suppose -s = -4*y + 29, 2*s = 3*y - 49 + 6. Let l = 10 + s. Let h = l - -5. Determine x(h). -10 Let g(s) = s - 6. Let j = -90 + 96. What is g(j)? 0 Let a be (3/(-2) - (-25)/10) + -6. Let n(q) = q**2 + 3*q - 3. Determine n(a). 7 Let y(l) = -2*l - 2*l**2 + 3 + l - 3. What is y(2)? -10 Let f be (12/9)/(2/(-3)). Let w be -3 + 1 + (1 - f). Let p(z) = -2*z**2 - z. Determine p(w). -3 Let d(o) = o**3 - 3*o**2 + 2*o + 2. Let y be d(2). Let c(r) = 2*r**2 + 0*r - 5 - r**y + r. Suppose 4*f + 13 = 13. Give c(f). -5 Suppose 0 = 5*z - 2*v - 464, -288 = -2*z - z - 2*v. Let s(n) = -95*n + z*n + 0 + 1 + n**2 + 0*n**2. What is s(1)? 1 Let z(a) = a**2 - 6*a - 21. Let n be z(8). Let w(m) = m**2 + 5*m. Determine w(n). 0 Suppose g = 5*p - p + 7, g + 1 = 0. Let w(j) be the first derivative of -j**4/4 - 2*j**3/3 - 3*j**2/2 - j - 1. Determine w(p). 5 Let o(p) = p**3 + p**2 + p - 6. Let n be 1 + -1*(0 - 2). Let m be (-4)/(-14)*(4 + n). Suppose h = m*h. Give o(h). -6 Let f(j) = j**3 + j - 6. Suppose -3*a + 2*a = 0. Suppose a*n = -3*n. Give f(n). -6 Let y(i) = 5*i + 1. Suppose -4 = 4*c + 16. Give y(c). -24 Let n(w) = w**3 + w + 6. Let t be n(-2
{ "pile_set_name": "DM Mathematics" }
at is the remainder when d(14) is divided by 57? 49 What is the remainder when (-2)/(-6)*(-351)/(-195)*190 is divided by 105? 9 Suppose -x - 22 = -3*x. Let d(m) = -m**2 + 12*m - 8. Suppose 3*t = -5*f - 0*f + 51, 24 = 2*f + 3*t. Calculate the remainder when d(f) is divided by x. 8 Suppose -2*a + 13 = b, -3*a + b = -2*b + 3. Suppose a*c + 11 - 19 = 0. What is the remainder when c is divided by 1? 0 Suppose -4*o = -5*o - 29. Let p = 49 + o. Calculate the remainder when 56 is divided by p. 16 Suppose -1215*z + 30 = -1212*z. What is the remainder when 89 is divided by z? 9 Let b = 3897 - 2076. Calculate the remainder when b is divided by 114. 111 Let h = 949 - 918. Calculate the remainder when 183 is divided by h. 28 Let c = 311 + -183. Let n = -93 + c. What is the remainder when 174 is divided by n? 34 Let g be (-5 - -72)*(-1 + 2). Suppose 3*z = -3*j + 66, -g = -5*z - j + 39. Let y = -19 + 31. What is the remainder when z is divided by y? 9 Let m = -5 - -4. What is the remainder when 30 is divided by ((-68)/6)/(m*4/6)? 13 Suppose -7*f = -2*f - 25. Suppose -f*d + 4*n + 3229 = 0, 2*d = -d + 3*n + 1935. Calculate the remainder when (d/(-33))/(1/(-3)) is divided by 16. 11 Let k(h) be the third derivative of -h**5/60 + 11*h**4/24 + 3*h**3/2 + 3*h**2. Calculate the remainder when 21 is divided by k(11). 3 Let t(a) be the third derivative of 7*a**6/120 - a**5/15 + 2*a**3/3 + 12*a**2. Calculate the remainder when t(2) is divided by 12. 8 Suppose -4*w = -3*o - 118, 3*o = 2*o + 3*w - 46. Let d = 59 + o. Let u = -7 + 21. What is the remainder when d is divided by u? 11 Suppose -209 = -13*l + 181. What is the remainder when l is divided by 11? 8 Let k(x) = x**2 + 4*x + 8. Let g be k(-2). Suppose g*b + 5*s - 269 = 0, -b + 4*s = 2*s - 51. What is the remainder when b is divided by 23? 15 Suppose -2 = 2*p - 8. Suppose 0 = 17*f - 199 + 12. What is the remainder when f is divided by p? 2 Let q(t) = -8*t**2 - 2*t + 9. Let z(r) = 17*r**2 + 4*r - 19. Let m(k) = -5*q(k) - 2*z(k). Let n = 107 + -68. What is the remainder when n is divided by m(2)? 18 What is the remainder when 349 is divided by (-1548)/(-108) + 8/(-6)? 11 Let c be 4/18 + 50/18. Suppose -o - 5*q = -20, 2*q + 79 = c*o - 2*q. Calculate the remainder when (1*74)/(0 - -1) is divided by o. 24 Suppose 200 = 6*i + 74. Calculate the remainder when 124 is divided by i. 19 Let q = -117 - -121. Suppose 2*x = 2*d + 20, q*x + 9*d = 5*d + 48. Calculate the remainder when 52 is divided by x. 8 Let d = 114 + -67. What is the remainder when d is divided by (-12)/(-8) + 145/10? 15 Suppose -2*g = 5*m - 2098, -6*m = g - m - 1054. What is the remainder when 8/(-10) + g/30 is divided by 12? 10 Suppose -2*f - 338 = -5*g, f - 4 = -3. Let c = -8 - 4. Let p = 22 + c. What is the remainder when g is divided by p? 8 Let c(z) = 2*z**3 - z**2 - 4*z - 3. Let a be c(5). Let s = a - 108. Suppose 5*h = -3*j + s, 54 + 0 = 3*h + 3*j. What is the remainder when 57 is divided by h? 17 Calculate the remainder when 58 is divided by (12/(-10))/2*-60. 22 Suppose -4*n = d - 177, 2*n + 3*n - 223 = -3*d. What is the remainder when 130 is divided by n? 42 Let d(j) = -j**2 + 2*j + 11. Let v(p) = -p + 1. Let f(t) = d(t) + 3*v(t). Calculate the remainder when 68 is divided by f(0). 12 Let t(a) = a**3 - 36*a**2 + 8*a - 37. Let h be t(36). Suppose -5*n - 259 - 611 = 0. Let k = n + h. Calculate the remainder when k is divided by 16. 13 Let k = -166 - -179. Calculate the remainder when 24 is divided by k. 11 Let b(w) be the second derivative of w**4/6 + w**3/3 - 9*w. Calculate the remainder when 71 is divided by b(-3). 11 Let w be (-2)/(4/(-27))*2. Let s = w - -17. Calculate the remainder when s is divided by 15. 14 Let h(y) = -2*y**3 - 31*y**2 + 18*y + 49. What is the remainder when h(-16) is divided by 2? 1 Suppose 0*i - 135 = 5*i. Let s = i + 46. Suppose 0 = -a - 3*d + 4*d + 12, 4*a + 5*d = 39. What is the remainder when s is divided by a? 8 Let x(i) = 4*i - 7. Let r be x(2). What is the remainder when 7 is divided by 1 + r + 0 + -1? 0 Suppose 4*i = 3*f - 4, 3*i = 7 - 1. Calculate the remainder when 14 is divided by f. 2 Let h = 2520 + -1772. What is the remainder when h is divided by 94? 90 Let t(y) = y**2 + 2*y - 14. Let x(r) = -r**3 + 8*r**2 - 7*r - 3. Calculate the remainder when x(6) is divided by t(-6). 7 Let t be 3 + 18/3 + -2. Suppose -t*c + 5*c = u - 65, 0 = -u - 5*c + 80. What is the remainder when u is divided by 14? 13 Suppose -26 = -4*x - 2*g + 4, 2*g = -5*x + 39. What is the remainder when 33 is divided by x? 6 Suppose 0 = b + 1 + 2. Suppose 4*l = 32 - 0. Let r = b + l. What is the remainder when 9 is divided by r? 4 Suppose -4*m - p = m - 109, p + 89 = 4*m. Let z(t) = -t**2 + 4*t + 9. What is the remainder when m is divided by z(3)? 10 Suppose 694 = 4*l + 3*z, 2*z + 510 = 3*l - z. Suppose i + l = 5*i. Let a(n) = -8*n - 1. Calculate the remainder when i is divided by a(-3). 20 Suppose 3*c + 5*x - 9*x - 501 = 0, -351 = -2*c - 3*x. What is the remainder when c is divided by 29? 26 Let h(t) = -5*t - 10. Suppose 8 = -4*n, 3*w - 32 = -4*n - n. Suppose 3*a + 3*k = 54, -3*k + 72 + w = 5*a. Calculate the remainder when h(-8) is divided by a. 14 Suppose -10 = -4*u + m, 0 = -2*u + 4*m + 19 - 7. Suppose -p = u*c - 21 - 55, 4*c - 4*p = 128. What is the remainder when c is divided by 13? 10 Let v be -4*3/(-84) - 104/(-7). Suppose 0 = -i - 4*w - 21 + 83, -3*w + v = 0. What is the remainder when i is divided by 22? 20 Suppose -3*t + 15 = 9. Suppose u - r + 0*r - 18 = 0, 5*u + 3*r = 82. Suppose -t*w + 3*w - u = 0. What is the remainder when w is divided by 9? 8 Suppose 5 = -10*x - 5. What is the remainder when (-8)/(-64)*844 + x/2 is divided by 36? 33 Suppose 4*q - 4*l = 224, -174 = 2*q - 6*q - 6*l. Calculate the remainder when 277 is divided by q. 22 Let p(r) = r**2 - 3*r**2 - r**3 + 6*r - 1 + 4. Suppose 48 + 292 = 17*t. Calculate the remainder when t is divided by p(-4). 9 Suppose 13*n - n + 684 = 0. Let w = n + 160. What is the remainder when w is divided by 26? 25 Let o(y) be the third derivative of -y**4/8 - y**3/3 - 4*y**2. Let z be 6*4/(-30)*5. What is the remainder when o(z) is divided by 6? 4 Suppose 0 = 10*a - 585 + 265. Calculate the remainder when 37 is divided by a. 5 Suppose -w + 25 = 2*s, 4*w - 110 = -0*w + 2*s. What is the remainder when 184 is divided by w? 22 Suppose u - 3*g - 3894 = -4*u, -2*g = -4*u + 3114. What is the remainder when u is divided by 39? 36 Let h be (3 - (-5)/(-2))*6. Let f(b) = -4 - 2*b - 3*b**3 + 3*b**2 + 4*b**h + 1. What is the remainder when 8 is divided by f(-2)? 3 Let k(r) = 2*r**3 - 13*r**2 + 17*r - 19. What is the remainder when 185 is divided by k(6)? 44 Let y(v) = -26*v + 1. Let t(o) be the first derivative of -65*o**2 + 4*o + 3. Let s(q) = 3*t(q) - 14*y(q). What is the remainder when s(-1) is divided by 9? 6 Suppose 0 = -7*m - 0 + 42. What is the remainder when -3 - -19 - -2 - 1 is divided by m? 5 Let b(s) = -s**3 - 6*s**2 - 4*s + 10. Let d be b(-5). Suppose -2*j + 5 = -1, -d*m + 5*j = -220. Calculate the remainder when m is divided by 18. 11 Suppose 0 = -12*r - 64 + 244. Let u be ((-94)/6)/(2/(-12)). Suppose -4*l - u = -2*n, 59 - 192 = -3*n + 2*l. Calculate the remainder when n is divided by r. 13 Let v(l) = 49*l + 250. What is the remainder when 192 is divided by v(-4)? 30 Let z = 1 - -3. Suppose t - 15 = 5*o - 0*o, 0 = z*t - 4*o + 20. Let d = t - -14. What is the remainder when d is divided by 4? 0 Let p(v) = -9*v - 47. What is the remainder when 74 is divided by p(-8)? 24 Let o be (11 + -11)*(-2)/(-4). Let l(s) = -2*s**2 + 2*s + 24. What is the remainder when 68 is divided by l(o)? 20 Suppose -4*j + 50 = -2*v, 59 = 4*j - v - 4*v. Suppose j = 5*g - 4*g. Calculate the remainder when 18 is divided by g. 7 Calculate the remainder when 53 is divided by (-14)/((200/(-16))/25). 25 Suppose 7 = 4*a + 11. Suppose -48 = -2*f - 2*f. Let k = a + f. Calculate the remainder when k is divided by 6. 5 Suppose 3*b + 1 = -f - 14, -10 = 2*f + 2*b. Suppose f = -3*n + 10*n - 105. What is the remainder when 87 is divided by n? 12 Let s = -230 + 234. What is the remainder when 15 is divided by s? 3 Let x(i) = -i**2 - 24*i + 46. What is the remainder when x(-23) is divided by 12? 9 What is the remainder when 21 is divided b
{ "pile_set_name": "DM Mathematics" }
er? True Suppose 3*c = 15, c = -4*n - 2*c - 30461. Let t = -4948 - n. Is t a prime number? True Let u be 55/10 + 1/(-2). Suppose 4*o = u*j + 2991, -2 = -5*j + 3. Is o prime? False Suppose 3*a + 2*g - 14 = -0*g, 5*g - 22 = -a. Suppose -a*q + 7*q = 1655. Is q a composite number? False Suppose -z + i - 265 + 1235 = 0, -4*i - 961 = -z. Is z composite? True Let z be 1/1 + (-360)/20. Let s(r) = 2*r**2 + 14*r + 7. Is s(z) a composite number? False Let z be (-4 - -8)/4 + -2 + 3. Suppose 81 + 85 = z*t. Is t a composite number? False Let k(g) = 96*g + 5. Let i = -124 + 137. Is k(i) a prime number? False Suppose 802*o - 788*o - 271138 = 0. Is o prime? False Let k(f) = 964*f - 31. Is k(3) a prime number? True Suppose -14*x = -11*x - 8997. Is x composite? False Suppose -i - 20*h = -18*h - 6131, 5*i - 30655 = -5*h. Is i a prime number? True Suppose -3*g + 12 = 2*f - g, 2*f + 4*g - 16 = 0. Is -6 - (0 - f) - -311 a prime number? False Let y(n) = n + 11. Let g be y(0). Let z(o) = -2*o + 14. Let f be z(g). Is ((-5)/(-10))/((-1)/f) a composite number? True Let s = 1393 - 687. Is s prime? False Let s(o) = 109*o**3 + 3*o**2 + 12*o - 15. Is s(4) composite? False Suppose -2*o - 16043 = -6*o - 5*c, -3*o + 4*c + 12009 = 0. Is o a composite number? False Suppose -4 = -4*w + 4. Suppose w*f + 599 = 3*v, -2 = -2*f + 4*f. Is v a prime number? True Suppose 0 = -7*k + 33281 + 10938. Suppose -4*g + k = 5*b, 0 = g - 2 - 1. Is b prime? False Let f = -220 + -340. Suppose 3*d = -10*d - 4225. Let s = d - f. Is s composite? True Suppose 385*v - 411*v = -153946. Is v composite? True Suppose 2328 = -3*t - 5*t. Let o be (t/2)/((-9)/12). Is 14 - 18 - (-1 - o) composite? False Is 152 - (6/21 - 23/7) a prime number? False Suppose -5*x + 2*x = -2*p - 3, 0 = -2*p - 2*x + 2. Suppose -5*g + 11 - 1 = p. Let r = g + 7. Is r composite? True Suppose 3*a - 9 = 0, 3*m - 5*a - 24 = -a. Is 7786/8 - 3/m prime? False Let d be (-6567)/(-13) - 8/52. Let i = d - -406. Is i a prime number? True Suppose -5*h + 7*j - 12*j + 205385 = 0, -3*h = -3*j - 123231. Is h a composite number? False Suppose 0*f = -2*f. Suppose 4*n + 8 = 0, -2*n + 888 = 4*d - f*n. Is d a composite number? False Let w(h) = 10*h**2 + 38*h - 41. Is w(30) composite? False Suppose -20*b = -2124 - 1916. Is b composite? True Let v(o) = -o**3 + 2*o**2 + o + 1207. Suppose -2*c - 10 = -5*a, -4*a + 2*c + 1 = -9. Is v(a) prime? False Let s = -5 + 11. Let a(t) be the second derivative of 17*t**4/12 + t**3 + 7*t**2/2 - 26*t. Is a(s) composite? True Suppose -2*h = 0, -2*h = -z + 2*z - 8. Suppose 10*p = z*p + 218. Is p prime? True Let s = -9 + 37. Let p be (-1)/(s/8 + -3). Is -1*(p + 0 - 221) composite? False Let m = 8 + -8. Suppose -3*d + 111 = -m*d. Is d a composite number? False Let b = -7208 - -10119. Is b a composite number? True Let d be 5/(15/6) - (-3)/1. Suppose d*m = m + 2228. Is m prime? True Let m = 13654 + 28609. Is m composite? True Let s(v) = 31 - v**3 + 14*v**2 - 15*v - 35 + 0*v. Let x be s(11). Suppose -4*m + x = -3*m. Is m composite? True Let h(b) = -b**2 + 2*b - 4. Let m be h(0). Is (-3 - -5)*(1 + (-1162)/m) a composite number? True Let l(q) = 4*q**3 - 4*q + 2*q - 6*q**2 - q - 5*q - 3*q**3 - 11. Let w(d) = -2*d + 2. Let u be w(-3). Is l(u) a composite number? False Let m = 539552 - 244441. Is m a composite number? False Let c(v) = v**3 - 4*v**2 - 4*v - 8. Let a(l) = -2*l**3 + 8*l**2 + 8*l + 17. Let d(r) = 4*a(r) + 7*c(r). Is d(5) composite? False Let y = -11953 + 16872. Is y composite? False Let h(s) = -3*s**3 + s**2 + s + 6. Let w be h(-8). Let m = 351 + w. Is m a prime number? True Let c(g) = 5*g**2 - 10*g - 11. Let z be c(9). Let n = z - -285. Is n composite? True Suppose -5*x + 96 = -x. Suppose 0 = -5*w - 5*k + 30, -3*w - 2*w + x = 3*k. Is -33*(w + -2)*-1 prime? False Let p(m) = m + 1. Let i be p(4). Suppose -i*v + 7345 = 5*d, -v + 5*d = 4*v - 7385. Is v prime? False Suppose -3*d = -0*s - 2*s, d = -3*s + 11. Suppose s*v = 6*v - 147. Is v prime? False Suppose 3*s = -5*h + 18926, -s - 4*h + 9*h + 6342 = 0. Is s prime? True Suppose -4*j = -j + 5*y + 43765, 5*y - 14555 = j. Is j/(-28) + 2/14*2 a prime number? True Let g(j) = -j**3 + j - 188. Let d be g(0). Is (4 + 10/(-4))*d/(-6) a composite number? False Let m(n) = 291*n**2 + 4*n + 57. Is m(-10) a composite number? True Let m(r) = -151*r - 2. Let p be m(-10). Suppose -756 = -2*i + 5*j - 4*j, 4*j + p = 4*i. Is i a composite number? False Let p(l) = 2183*l - 30. Is p(1) a composite number? False Is -5 - (10/(-40) + 143/(-4)) composite? False Suppose -28*k + 1513561 - 513149 = 0. Is k a composite number? False Suppose 2*p - 5760 = 3572. Is p a prime number? False Suppose -10650 = -5*h + 5*d, 11*h = 6*h - d + 10644. Is h prime? True Suppose -2706 = -9*a + 273. Is a a composite number? False Is ((-20782)/(-3))/2*(-60)/(-20) a composite number? False Suppose 0 = 4*f - 332 + 108. Suppose -107 = 2*y + 3*u, 2*y + 175 - f = u. Is (-2)/((-6)/(-9)) - y a prime number? False Let a(f) = 3*f**2 - 4*f + 7. Let g be (3/(-9))/(4/(-12)). Let b(s) = -s**2 - s + 1. Let m(t) = g*a(t) - b(t). Is m(-7) a composite number? False Let v(u) = 7*u**2 - 2*u + 2. Suppose 16 + 34 = -2*o. Let b be (1 - -4)*(-15)/o. Is v(b) a prime number? True Suppose -4*z - 4 = -2*z - 2*i, -3 = 2*z - i. Let c(j) = -467*j. Is c(z) composite? False Let q be (80728/(0 + -1))/(-2) - 4. Suppose 0 = 6*y + 2*y - q. Is y composite? True Let g(b) = 3*b**2 - 10*b + 6. Let d be g(3). Let t be ((-222)/15)/(2/(-20)). Suppose 0 = -f - d*f + t. Is f prime? True Let i = -3 - -4. Let r be (-3 - i) + -4 + 4. Is (r/(-10))/((-2)/(-30)) composite? True Suppose 5*o - 238873 = 4*f + 191666, 4*o - 4*f - 344428 = 0. Is o a composite number? False Is (-1 + (-6540)/8)/(3/(-6)) prime? True Let p(k) = -4*k + 22. Let d be p(5). Is d/1*810 - (-3)/3 prime? True Let f = 764 - -227. Let s be 4 + (-408)/(5 + -4). Let d = f + s. Is d a prime number? True Let r(a) = a**2 + a - 24. Let d be r(-7). Suppose d*i - 12*i = 9186. Is i a prime number? True Suppose -2*u + y + 8 = 0, -2*u + 5*y = u - 12. Let t(x) = 34*x - 17. Is t(u) a prime number? False Let p be -1 + (0 + (-8)/6)*12. Let y(v) = -v**2 - 19*v + 3. Is y(p) a prime number? True Suppose -76375 = -2*w + 2*k - 2145, 0 = 2*w - 4*k - 74226. Is w prime? True Suppose 3*x + x - 116 = 0. Let a = x + 132. Is a prime? False Let a(g) = g**3 - 9*g**2 - 9*g + 22. Let m be a(10). Suppose j = 5*w - 25990, 0 = 2*w - j - 10367 - m. Is w prime? True Suppose 4*r - 7690 = -r. Is r a prime number? False Suppose -4*p = -8033 - 24927. Is 1/(-7) - p/(-7) a prime number? False Suppose 0 = 42*i - 55*i + 246545. Is i a composite number? True Let c be (2/4)/(4/35896). Suppose -4*k + 11267 = k + 4*t, 2*k - 5*t = c. Is k composite? False Is (9/6)/((-15)/(-198460)) composite? True Let n = 161 - -3228. Is n prime? True Suppose 5618 = 174*d - 172*d. Is d a prime number? False Suppose 5*b - 31796 = -3576. Let j = b - 3035. Is j a prime number? True Let h = -23 + 23. Suppose 35 = 5*y + 4*v, -4*v = -4*y - h*v - 8. Is 12/(-4)*(-647)/y a composite number? False Suppose s + 4*h = h + 15910, 3*h - 47748 = -3*s. Is s a composite number? False Let b(d) = 76*d - 4. Let j be b(-3). Let r be (14/(-8))/(2/j). Suppose 0*v + r = v. Is v composite? True Let p(s) be the second derivative of s**3/6 + s**2/2 + s. Let g be p(1). Is (85 - g)/(4 + -3) a composite number? False Let i = -88 + 68. Let g = -24 - -44. Is (-3128)/i - (-12)/g a composite number? False Suppose -4*b + 8748 = -0*b. Let c = b - 1552. Is c a prime number? False Let v = -999 + 580. Let h = -499 + 271. Let r = h - v. Is r a prime number? True Let p = 697 + -1008. Let f = p - -670. Is f a prime number? True Let x = 140 - -96. Let k = x + 5735. Is k a prime number? False Let u be (-1)/((-6)/(-3) - 1). Let l be u - -3 - -1 - 6. Is 86 + (-1 + -5 - l) prime? True Let x(f) = 53*f**2 + 3*f - 5. Suppose -2*m = 2*m - 20, 2*b + 4*m - 30 = 0. Let o be x(b). Let z = o + -850. Is z a composite number? True Suppose 3*g = -8859 + 92520. Is g a prime number? False Suppose -5*x + 0*x = -20. Suppose -3*a + 1638 = y, x*y - 5*a - 6517 = -50. Is y composite? True Suppose -c = -2*v + 15, -c - 5*v = c - 6. Let f be 21/c - (-24)/3. Suppose 2*z - 392 = -f*n, -5*z - 5*n = -140 - 855. Is z composite? True Suppose 5*p +
{ "pile_set_name": "DM Mathematics" }
late 160 + -167 + (-12 + 9 - (0 - 2)). -8 What is 32 + -2 + (-7 - -6) + -8? 21 What is 10 - 1 - (-5 + 10 - (8 + 4))? 16 What is 6 + (-10 - -20 - (1 + 23))? -8 What is the value of (-1 - -1) + 308 + -291? 17 What is (2 - 6 - -5) + (3 - 9) - 4? -9 Evaluate -8 - -1 - (-5 + 2) - (71 + -64). -11 What is (-69 - -65) + 9 + 2 + -3? 4 What is 3 + 11 - 19 - 4? -9 Evaluate -26 + (-12 - -30) + -11. -19 What is -7 + (-3 - -2) + -1 + (0 - 8)? -17 What is 30 + ((-20 - 12) + 11 - -10)? 19 Calculate -3 + 0 + (-5 - 4 - (-31 - -24)). -5 -3 - 8 - ((-1 - -5) + 11 + -6) -20 What is the value of -3 - (-6 + 12 + -4 - 1)? -4 Evaluate 1 + (-2 - -30 - (-8 - -10 - 1)). 28 What is -4 - (-18 + 9) - 22? -17 What is the value of -3 + 4 + -10 + 8 + 5? 4 What is (8 + 4 + -20 - -8) + 1 + -8? -7 Evaluate -6 - (0 - (8 + 0)) - 5. -3 (0 - 1) + (-9 - -24) 14 Calculate -7 - (4 - -4 - 2 - (-10 - -12)). -11 Evaluate (8 - (6 - (8 - 13)) - -5) + -25. -23 Evaluate 4 + 5 + 2 + -13 + (13 - 15). -4 Calculate 34 + -31 + 5 + -5. 3 (-9 - (-3 - 15)) + -2 7 Calculate -2 + (-19 - -33) + -6 + 20. 26 Evaluate 9 - (2 + 0 - (106 + -100)). 13 Evaluate 11 - 3 - (39 + -28). -3 14 + -4 + (-7 - -3) - (0 + -4) 10 What is the value of 0 - -3 - -5 - (-7 + (-4 - -5))? 14 6 + (-9 - -11) + -4 + 3 + -4 3 Calculate (1 - -6 - 1) + -3 + -2 + 7. 8 What is the value of 13 - ((-2 + 6 - 11) + 6)? 14 What is -26 - -54 - 43 - -21? 6 -25 - -25 - 24 - (-9 + (0 - -1)) -16 -8 - -5 - 2 - (-6 + 0) 1 11 + 6 + -1 - (4 - 10) 22 (4 + -5 - -4) + 1 + (3 - -11) 18 What is the value of -17 + 0 + 26 + 32 + -68 + 6? -21 Calculate (-5 - -73 - 80) + -3 + -1. -16 Evaluate (15 - 5) + -6 + -3 + -15. -14 What is the value of 8 - (-9 + 5 + 9)? 3 What is the value of 21 + (-27 - -20 - 29)? -15 Evaluate 7 - (16 + (-2 - 5) - (3 - -3)). 4 What is -4 + 1 + -41 + 52? 8 Evaluate (-21 - (-7 - 46)) + -18. 14 Evaluate (-2 - (13 + (2 - 18))) + (4 - 15). -10 What is -93 + 89 - (0 + 7 + -2)? -9 What is -14 - (8 - (-27 - -13 - -11))? -25 -2 + 0 + (90 - 87 - (0 + 7)) -6 -3 + (7 - 4) + 4 - (121 + -94) -23 What is -6 - -4 - (1 + (-1 - (-7 + 6)))? -3 What is the value of -6 - (6 - (10 + 13))? 11 What is the value of (0 - -6) + 0 + (-9 - (0 + 2))? -5 Evaluate -2 + (8 - 3) + 0 + -10 - 6. -13 Calculate 14 - (-7 + 35) - (2 + 2 + -4). -14 What is the value of 7 + 16 + (0 - 16 - -9) + -10? 6 What is the value of -10 - (-132 - -130 - (-1 + 14))? 5 What is 89 + -111 - (-1 - 17)? -4 What is the value of -6 - -1 - (-2 - (-19 + 14))? -8 Calculate 8 + -2 - (142 + -158). 22 What is (3 - (7 + 33)) + 6? -31 What is the value of 9 + 7 + (-6 - (-5 - 2))? 17 (1 - 0 - 15) + (-195 - -202) -7 Calculate (2 + (-2 - -5) - 10) + 5. 0 Evaluate 7 + (16 - (12 - 5)) + -19 - -22. 19 Calculate (14 - (-2 - 7 - -13)) + -34. -24 What is the value of 18 + (-11 - 24) + 21? 4 27 + (-1 - (0 - (0 + (1 - 5)))) 22 Calculate -16 + -1 - (32 + -55). 6 What is the value of (-1 - 23) + (893 - 858)? 11 -8 + (7 + -13 + -3 - -15) -2 13 + (-2 - 22 - (-79 - -90)) -22 Evaluate 19 + 1 + -5 + (-3 - -2) + 1. 15 Calculate -19 + (5 - (3 - 20)). 3 What is the value of (0 - -16) + (-1 - (-12 - -8))? 19 What is the value of (-6 - (-3 + 3)) + 2? -4 What is 9 + -7 + 6 - (2 - -4)? 2 Calculate (2 + 2 - (23 + -9)) + -21 + 1. -30 Calculate 1 - 22 - (-16 - -5). -10 Evaluate -13 - (-10 + 16 - 35). 16 What is the value of -22 - -17 - ((-3 - -1) + -8)? 5 Evaluate -1 + ((2 - 4) + 12 - (38 - 32)). 3 What is the value of (-9 + -3 - -19) + -2 + -16 + 1? -10 What is (-37 - 23) + 21 - -24? -15 9 + -16 + 16 + -1 8 10 - ((-12 - -18) + -2) 6 Evaluate -10 + 2 + 3 + (-82 - -95). 8 What is -4 + 15 + -31 + 17? -3 (-8 - -1) + 615 + -574 34 Evaluate 9 - (-2 + 4 + 5 - (-58 + 44)). -12 Calculate 6 + 12 + (-8 - (-2 - -1)). 11 (24 - 36) + 0 + 2 + (0 - -9) -1 Evaluate -3 + (-6 - (19 - 12)) - (14 - 2). -28 Evaluate (1 - 5) + -1 + (-3 - -11) + 5. 8 What is the value of (14 - 4 - (-11 + 19)) + -13 + -8? -19 -8 + 3 - (-11 + 9 + -11 + 8) 0 Calculate 1 - (23 + 13 + -9 + -5 + 2). -23 What is the value of -12 - -4 - (10 + (-31 - -1))? 12 What is 29 - (96 + -51) - (10 - -2)? -28 (104 - 119) + 7 + 0 -8 What is the value of 28 - -1 - (-284 - -326)? -13 What is the value of -142 + 147 + -2 + -27? -24 Evaluate (-10 + 15 - -14) + -1. 18 -3 + -5 + (176 - 151) 17 (-4 + 0 - (-29 + 7) - 3) + -6 9 Calculate -14 + 0 - (-1 - 5). -8 -32 + 42 + 2 + -1 + 3 14 Calculate -7 + (-4 - (-1 + -6 + -4)). 0 -2 + -1 + -32 + 14 + 13 -8 What is the value of 7 - 18 - -5 - -2? -4 What is the value of 14 + -25 - -33 - 10? 12 Calculate (-7 - (-3 + -2)) + 2 + -2. -2 Calculate -20 + 36 + (-3 - -6). 19 3 - (-12 + 6 + 12) - 0 -3 Evaluate 15 + -23 - 0 - (1 - 5). -4 What is the value of (1 - 12 - 5) + 13? -3 Evaluate 18 - (3 + 13 + -13). 15 8 + -33 - -22 - -8 5 -8 + -2 + 9 + 5 4 -8 + (-10 - (0 + -9)) -9 Calculate (-103 - -122) + (-8 - 27). -16 Evaluate (6 - 6) + -5 + -8. -13 5 + (20 + -1 - 10) 14 1 - (1 + (-2 - -2)) - 13 -13 What is 21 - (39 + -23) - -12? 17 What is (-12 - (6 + -16 + 2)) + 16? 12 Calculate -6 + (-16 - -30 - (8 + -1)) - -9. 10 What is (-185 - -194) + (2 - (14 - (1 - 1)))? -3 Evaluate 1 + -4 + -47 + (14 - -44). 8 -26 - (-4 + 8 + 15 + -15 - -4) -34 Calculate (2 - 3) + 0 + (6 + -4 - 0). 1 Calculate -35 + (-8 - -77 - 29). 5 What is the value of (7 - (10 - 4)) + 14? 15 4 - (2 + (6 - 6)) - -12 14 Calculate (3 - (3 - (-9 + 2))) + (-14 - -14). -7 Evaluate 13 + 2 + 14 + -25. 4 What is -3 - (1 - (3 + 0) - (-20 - -23))? 2 What is -5 - ((24 - 13 - 19) + -1 + 15)? -11 What is (-1 - -17) + -43 + -2 + 30? 1 Evaluate -4 + 8 + -11 + 11 - 1. 3 Evaluate (-8 - (-40 + 17) - 20) + -15 + 0. -20 Evaluate 7 + -15 + (8 - (5 - -2)). -7 Evaluate (-16 + 0 - -1) + 6. -9 What is (-2 - -10) + (-2 + -8 + 11 - 6)? 3 (-11 - (-6 - (-4 + 4))) + 6 + 11 12 What is (3 + 8 - -1) + (51 - 85 - -27)? 5 What is the value of 12 + (7 - (5 + 6 + 0)) + -10? -2 Evaluate (12 + -34 - -7) + 6. -9 Evaluate (1 - (-7 + 3 + -3)) + -13. -5 What is -157 + 148 + 2 + (2 + 3 - 1)? -3 1 - (3 - -3) - -14 9 What is 0 + 10 + -6 + -9 + 20? 15 Calculate -23 + 2 + -181 + 184 + -8. -26 What is -4 + -5 + (1 + 0 - -5) - 4? -7 Evaluate (14 - (27 + -7)) + 2 + 22. 18 Evaluate (-48 - -16 - 17) + 7 - -16. -26 What is 37 + -11 + (2 - 16)? 12 Calculate (-29 - 3) + -1020 + 1013. -39 4 + -2 + -7 + 3 - (-54 - -62) -10 Evaluate -3 - -1 - (-18 + 18) - (-3 + -10). 11 12 - (10 - 2) - (-13 - 16) 33 Evaluate 2 + -13 + -2 - (-14 + (-23 - -34)). -10 41 - (10 + 12 + -15 + -1 + 1) 34 21 - (-13 - (-19 + -2)) 13 Calculate 50 - 59 - (0 - -3 - 21). 9 What is (3 - (0 + -1)) + (-129 + 55 - -68)? -2 Calculate 9 + -5 + -10 + 6. 0 28 + (13 - 18 - 12) 11 Evaluate 7 + 8 + -9 - (-6 + -5). 17 Calculate 228 + -215 + (2 - (-1 - 1) - -3). 20 Evaluate -12 + 14 + (26 - 11). 17 Evaluate 34 + -38 + (0 - (-6 - -3)). -1 76 - (43 + -11) - 14 30 What is 10 + 6 + -10 - (6 + -6) - 12? -6 What is 4 + (21 - 29) + (4 + 0 - -2)? 2 What is (-13 - -9) + (-11 - -5) - -29? 19 -14 + (11 - (17 - 5)) - -17 2 (-17 - (-21 + 1)) + -7 -4 Evaluate (12 - 4) + 7 + -6 + -10. -1 What is -5 + 1 - (-9 + 3)? 2 What is 6 - (1 + 6) - (32 + -16 + 4)? -21 What is 10 - (4 + -11 + 30 + -22)? 9 Calculate -1 + (-5 - 2 - (-15 + 10 - 1)). -2 What is 0 + 7 + 0 + (0 - (-11 - -7))? 11 What is -6 + (26 - (-3 + (-10 - -3 - -16)))? 14 What is 47 + -41 + 5 + -26 + -5 + 2? -18 4 + 11 + 77 + -84 8 What is 9 + -15 + 7 + 2 + -1 + -14? -12 What is the value of -19 - (-5 - (-7 + 24))? 3 Calculate -20 - (8 - 7 - (14 - 11)). -18 Evaluate 3 + -5 + 10 + (5 + -4 - -4). 13 Calculate -5 + 6 + -2 + (6 + -4 - 2). -1 Evaluate (-8 - -1) + (14 - (15 + -4)) + -6. -10 -34 + 32 - (2 + 15) -19 What is the value of 1 - 20 - (-261 - -254)? -12 Evaluate 13 - 1 - (9 - 9 - 5 - -6). 11 -4 - (7 - (-1 + 4) - 7 - 6) 5 Calculate (-320 + 307 - (-1 - 27)) + 3. 18 What is -8 - 2 - (-3 - (4 - -2) - -7)? -8 What is the value of -19 + 0 + 26 + (-1 - 18)? -12 -4 - -12 - (-7 + 13) - 3 - 9 -10 Evaluate 3 + 3 + -3 + (95 - 97). 1 Evaluate (8 - 3 - ((-22 - -44) + -10)) + -24. -31 What is the value of 17 - (75 + -75 - (12 - (3 + -3)))? 29 Calculate -4 - (-3 + (0 - (-4 - 5)) - 19). 9 What is the value of 53 + -37 + -11 + 18 + 2? 25 What is -1 + 3 + (-3 - (-15 + 4)) + 4? 14 Calculate (-31 + -4 - 2) + (318 - 306). -25 26 + -2 + 0 + 60 + -52 + -8 24 What is the value of 0 - (2
{ "pile_set_name": "DM Mathematics" }
k be w(p). List the prime factors of (-5)/10 + k/(-4). 2 Suppose 29*u = -16848 + 61305. List the prime factors of u. 3, 7, 73 Let k(m) = -24*m**2 + 3*m + 5. Let f be k(-2). Let o = f + 149. What are the prime factors of o? 2, 13 List the prime factors of (2/3)/((-4)/6786*-3). 13, 29 Suppose -22*u + 21*u = -1, -5*u = 5*g - 7920. List the prime factors of g. 1583 Let b = 18 - 8. Let q(x) = 4*x**2 + 2 + 14*x - 15 - 15*x**2 + x**3. What are the prime factors of q(b)? 3 Let w(y) = 8*y**2 - 2*y + 1. Let m be w(2). Let k = m - 25. Suppose 87 = k*h - 9. List the prime factors of h. 2, 3 Let b = 57 + -47. Suppose -89 + 1199 = b*u. List the prime factors of u. 3, 37 Let i be (-5)/(-3 + 1 + 1). Let d be (-36)/(-90) + 96/10. Suppose -3 - d = -z + 4*k, 4*z + i*k = 157. What are the prime factors of z? 3, 11 Suppose -667 = -10*a + 1403. What are the prime factors of a? 3, 23 Suppose 7*h - 3*h = 8. Suppose -h*c = -5*o + 344, -4*o = o + 2*c - 356. List the prime factors of o. 2, 5, 7 Suppose -h = -0*h - 12. Suppose -8*r = -h*r + 720. What are the prime factors of r? 2, 3, 5 Suppose 281 = 2*j + h + 33, -3*j - 3*h = -375. Let p = j + 137. List the prime factors of p. 2, 5, 13 Let z = -2914 - -6818. List the prime factors of z. 2, 61 Let l be -5 + 0 - (-6 + 2). List the prime factors of 455/5 + l - 0. 2, 3, 5 Suppose -2*z - 364 = -1724. What are the prime factors of z? 2, 5, 17 Suppose 4*o = -3*n + 7, o = -n - 1 + 2. Let k be (-10)/n*6/4. Let s = k - -6. What are the prime factors of s? 11 Suppose -3*c + w + 4*w + 6367 = 0, 3*c = -2*w + 6332. What are the prime factors of c? 2, 7, 151 Let i be 6/(-15) - (-17)/5. Let n(y) = -2*y**3 + i*y**3 + 7 - 5*y + 6 - 10 + 6*y**2. List the prime factors of n(-6). 3, 11 Let w(l) = l**3 + 5*l**2 - 8*l - 7. Let h be w(-6). Suppose h*i = -11 - 9, i + 79 = k. Let m = k + -42. What are the prime factors of m? 3, 11 Let r be 2/(-6) + 365/15. Suppose -4*a - r = -2*i, -3*a + 2*a = -2*i + 12. What are the prime factors of i? 2 Let h = -2311 + 5092. What are the prime factors of h? 3, 103 Suppose 2*w = 4*w - 2*h - 2, 0 = -w - 3*h + 21. Let c be 9/w*(-48)/(-18). Suppose b + 5*s - 33 = 0, 5*s - 144 + 27 = -c*b. What are the prime factors of b? 2, 7 What are the prime factors of 141 + 1 - (-5 - -8)? 139 Let t(u) = 4*u + 25. Let c be t(15). Let o = c + 9. What are the prime factors of o? 2, 47 Let d(r) = 4*r**2 + 2*r + 1. Let n be d(-1). Suppose -5*k - y = -n*y, y = 4*k. Suppose -22 = -k*v - v. List the prime factors of v. 2, 11 Suppose -26 = -9*m + 109. Let h(x) be the second derivative of x**3/6 - 5*x**2 + 2*x. What are the prime factors of h(m)? 5 Let z(h) = 10*h + 26. Let q be z(-5). Let d = 323 - q. What are the prime factors of d? 347 List the prime factors of (((-12)/(-3))/4)/((-4)/(-6012)). 3, 167 Let d(r) = -3*r**2 + 93*r + 82. List the prime factors of d(28). 2, 167 List the prime factors of -4 - (-67 - 0)*30. 2, 17, 59 Let z be ((-15)/(-20))/((-2)/88). Let h = z - -78. What are the prime factors of h? 3, 5 Let f = -8 + 12. Suppose 0 = i + 3*p - 5 - f, -4*p = -12. Suppose i = -4*y + y + 6. What are the prime factors of y? 2 Let w(j) be the first derivative of -j**5/20 + j**4/2 + j**3/2 - 4*j**2 + j + 2. Let c(k) be the first derivative of w(k). What are the prime factors of c(6)? 2, 5 What are the prime factors of 89*4/(20/35)? 7, 89 Suppose -v = -4*v + 42. Let n = 17 - v. Suppose 0 = 4*d + m - n, 2*d + m = 3*m + 14. List the prime factors of d. 2 Suppose -3*l + 3*v + 3306 = 0, -3*v + 1953 + 251 = 2*l. What are the prime factors of l? 2, 19, 29 Suppose -3*x - 34620 = -15*x. List the prime factors of x. 5, 577 Let k(b) = -3 - 137*b + b**3 - 4*b**2 + 141*b + 7. List the prime factors of k(6). 2, 5 Let v(z) = -z - 7*z**2 - 2 + 8*z**2 + 5. Let d be v(-9). Suppose -97 = -5*l + s, 0 = 5*l + 4*s - 3*s - d. List the prime factors of l. 19 Let a(p) = -p**2 - 8*p + 5. Let u be a(-10). List the prime factors of (-3)/u - 3388/(-35). 97 Let k(q) = 112*q**2 + 24*q + 120. List the prime factors of k(-4). 2, 227 Suppose i = 2*m - 6, 2*i = -3*i - 5*m. List the prime factors of (-18)/((-1)/((-13)/i)). 3, 13 Let x(y) = -y + 3. Let a(p) = p**3 + 5*p**2 + p + 5. Let k be a(-5). Let v be x(k). Suppose -3*c + 9 = -2*m, 9 = 4*c + 2*m - v. List the prime factors of c. 3 Let b(z) = -23*z - 10. Let k(s) be the third derivative of -265*s**4/12 - 115*s**3/3 + 6*s**2. Let p(w) = 70*b(w) - 3*k(w). What are the prime factors of p(-3)? 2, 5 Let g be (-1738)/(-3) + 10/15. Suppose g = -16*u + 20*u. What are the prime factors of u? 5, 29 Let n = 39 - 22. Suppose 5*r + 3 = -n. What are the prime factors of -1 + -3*(-15 + r)? 2, 7 Let n be 6/(-10) + (-20)/50. Let c be (-26)/(-8) + n/4. Suppose 5*u - 53 = -c*j + 3*u, -3*j + 4*u = -65. What are the prime factors of j? 19 Let u(n) = n**3 - n**2 - 2*n + 3. Let q be u(3). Suppose -3*z + 3*c + 7 = 22, c = 2*z + q. List the prime factors of (-15)/z*(-44)/(-6). 11 Suppose -17*s + 5*t + 5157 = -15*s, 3*s - 5*t - 7723 = 0. List the prime factors of s. 2, 1283 Let i(g) = g**2 - 7*g - 13. Let f be i(9). Suppose -f*k - 3*j + 1122 = 0, 225 = 4*k - 5*j - 680. List the prime factors of k. 3, 5 Let k be ((-12)/48 + 1/(-4))*-330. Let h = 234 - k. List the prime factors of h. 3, 23 Let p = 30 + -20. Suppose -8*o - p*o = -756. List the prime factors of o. 2, 3, 7 Let i be (-60)/3*(-1 + 15). Let z(b) = -2*b + 27. Let u be z(14). List the prime factors of i/(-7) + 0 + u. 3, 13 Suppose 0 = 3*d - 3*f - 6702, -11*f = -15*f - 8. List the prime factors of d. 2, 3, 31 Let m(g) = g**2 + 9*g + 5. Let t be m(-7). Let l = t + 14. Suppose -l*a = -a - 8. List the prime factors of a. 2 Let a(s) = s**3 - 2*s**2 + 1. Let d be (-3)/(-21) + (-24)/(-28). Let l be a(d). What are the prime factors of (-1 + l)/(7/(-119))? 17 What are the prime factors of 7*(-2062)/(-14) + -4? 13, 79 Let k = 101 + -99. Suppose 11*f - k*f = 783. What are the prime factors of f? 3, 29 Let l(k) = k**3 + 11*k**2 + k + 15. Let m be l(-11). Let p be (-203)/63 + m/18. What are the prime factors of (-111)/(-3) + 7 + p? 41 What are the prime factors of -9*8/(-36)*339? 2, 3, 113 Suppose 2*d - 33*r + 34*r = 315, -3*r = -d + 168. What are the prime factors of d? 3, 53 Let o = 97 - 95. List the prime factors of o/(-6) + (-552)/(-36). 3, 5 Suppose -5*p = -180 - 40. Suppose 500 - p = 8*q. List the prime factors of q. 3, 19 Let w be (0/(-1))/(-7 - -6). Let a(k) = -k**3 - k**2 - k + 19. Let m be a(w). Let f = 34 - m. What are the prime factors of f? 3, 5 Let t be 464/56 + (-2)/7. Suppose 1677 = t*h + 5*h. List the prime factors of h. 3, 43 Suppose 0 = 5*j - 7 - 8. Suppose -k = v + 2*k + j, 0 = -4*k - 20. Let d(h) = 7*h - 29. What are the prime factors of d(v)? 5, 11 Suppose 3*g - 5*g = 3*u - 313, -2 = -g. Let a = u + -29. What are the prime factors of a? 2, 37 Let t = -22 + 53. Let r = 4 + t. What are the prime factors of r? 5, 7 Let t(f) = f**3 + 7*f**2 - 8*f + 2. Let u be t(-8). Suppose 0 = -u*i + v + 139, -v + 79 = i + 8. What are the prime factors of i? 2, 5, 7 Let a = 70 + -206. Let l = 257 + a. What are the prime factors of l? 11 What are the prime factors of 1110 - (13 - 42/6)? 2, 3, 23 Let h(n) = -3*n - 15. Let v be h(-5). Let w be (-1 + v/(-3))*-15. Suppose -4*t + w = -3*t. List the prime factors of t. 3, 5 Suppose -50 = -2*x + 3178. List the prime factors of x. 2, 3, 269 Suppose -16359 = 21*b - 62*b. List the prime factors of b. 3, 7, 19 Suppose -4*q - 17 + 13 = 0. List the prime factors of 0/3 + q + 49. 2, 3 Suppose -9*m = -737 + 2762. Let o = m - -353. List the prime factors of o. 2 Suppose -16 = -v - 3*v. Suppose 0 = -v*w + 2*w + 74. What are the prime factors of 1 + 2 + -2 + w? 2, 19 Suppose -49875 = 55*t - 148765. What are the prime factors of t? 2, 29, 31 Let j = -426 - -876. Suppose 0 = 3*k - 474 - j. What are the prime factors of k? 2, 7, 11 Suppose -5*d + 1330 = 4*p, -3*d = -4*d - 3*p + 266. What are the prime factors of d? 2, 7, 19 Suppose 138 - 36 = -6*s. Let n = 142 + s. What are the prime factors of n? 5 Suppose 4*w - 4*g = 4160, -5*w - 165 = -2*g - 5350. List the prime factors of w. 3, 5, 23 Let w(i) = 32*i**2 - 4*i - 1. Let t = 44 - 46. List the prime factors of w(t). 3, 5 Suppose 2*y = 3*t + 10229, t + 12406 = 3*y - 2927. List the prime factors of y. 2, 5, 7, 73
{ "pile_set_name": "DM Mathematics" }
= 234585/4 - 58927. Let m = 281 + k. What is the nearest to -2/3 in -2/3, m, -1/7? -2/3 Let g be (6/(-8))/(720/(-640)). Let l = 9 - 12. Which is the closest to -2? (a) 5 (b) g (c) l c Let s = 36 + -34. Let f = 143/84 + -17/12. Let y = -0.29 + 0.2. What is the closest to y in 1/2, f, s? f Let c = -12602 + 12592. What is the closest to c in 0.5, 3, -25? 0.5 Let n = 98.9 - 93.9. Let s = 4 - 6. Let j = 89/3 - 29. What is the nearest to s in -1, j, n? -1 Let g = 3.7851 + -7.7851. Which is the nearest to -2/31? (a) g (b) 2/3 (c) 1 b Let u = 440 + -440. Let m be 7/(-4) + 12/(-48). Which is the closest to 0? (a) -0.2 (b) m (c) u (d) 2/11 c Let t be (-39)/11 + (2 - -1). Let f = 9 - -84. Let l = -93.1 + f. Which is the closest to l? (a) -1 (b) 0.02 (c) t b Let j = -9555.2 - -9555. What is the nearest to -5.52 in 2/3, 0, j? j Suppose 15*o - 30 = 9*o. Suppose 20 = o*k - 10. Let n be ((k/5)/(-3))/(7/14). Which is the nearest to -2/3? (a) 3 (b) n (c) -1 b Let z be (-1 - (-18)/12)/(6*6/(-216)). Which is the nearest to 0.2? (a) z (b) -268 (c) -1/4 (d) 0.2 d Let j = 1 - 2. Let l = -167 - -111. Let f = l + 56. Which is the closest to -0.1? (a) 2/9 (b) f (c) j b Let b = 72 + -78.1. Let r = b - -6. Let a = -85 + 89. What is the closest to r in a, 4/5, 5? 4/5 Let v = -28.382 + 28.082. Which is the closest to -1/2? (a) -2 (b) -0.13 (c) v (d) 2 c Let s = -0.094 + 946.094. Let l = s + -946.5. Which is the nearest to 67? (a) 1 (b) 0 (c) l a Let h = -107/230 + -4/115. Which is the closest to 6? (a) -5 (b) 633 (c) h c Let i = -57.88 + 56.88. What is the nearest to -2 in -2/3, -4, -39/8, i? i Let g(o) = -2*o + 27. Let w = -904 + 919. Let h be g(w). Which is the nearest to h? (a) 5 (b) -4/3 (c) 0.3 b Suppose -4*f + 14 = 5*l, -4*l - l + 4*f = -46. Suppose 2*o = l*o. Suppose 8*d - 2 = 6. Which is the closest to d? (a) -4 (b) -1/2 (c) o c Suppose 3*v + 5*j = 2*v - 14, -v = 2*j + 14. Let r be 6*(4 - (-14)/(-3))/(-22). Let f = -326 - -326. Which is the nearest to f? (a) r (b) -0.1 (c) v b Suppose 3*x - 6*x = 2*s - 39, 0 = 2*s + 2*x - 42. Let u be (-3*2/s)/(3/12). What is the closest to 1 in -2/77, u, 5? -2/77 Let b = 0.05 + 1.95. Let i = -2.05244 - -2.35244. What is the closest to 13.2 in 0.2, i, 1, b? b Let f(n) = -82*n - 13939. Let i be f(-170). Suppose 3*v + 3*w - 18 = 7*v, 13 = -5*v - w. What is the nearest to i in 18, v, -0.4? -0.4 Let g(v) = -v**2 + 8*v + 18. Let t be g(-2). Let k = 0.1 + -0.5. Which is the closest to -0.1? (a) t (b) -0.38 (c) k b Suppose 44*d - 49*d + y = 162, 2*y + 171 = -5*d. What is the nearest to 2/3 in 0, d, -1? 0 Let h = 12984 - 12980. Which is the nearest to -0.2? (a) -2 (b) 0.2 (c) -2/5 (d) h c Let b(s) = 273*s - 6279. Let a be b(23). What is the closest to a in 0.09, 2/7, -10? 0.09 Let w be 1 + (-6)/(-8) + -2. Let u = -35.126 + 35. Let h = u - -0.226. What is the nearest to 0 in h, 1, w? h Let d be (-2 - (-2)/(-4)) + ((-62)/12 - -8). What is the closest to d in -4, 0.4, -0.054, -3/7? 0.4 Let t = 17/83 - 121/996. Which is the closest to t? (a) 0.5 (b) -0.2 (c) -1/2 (d) -7 b Let d(g) = g**3 + 32*g**2 - 141*g - 1260. Let s be d(-35). Let m = 2.5 + -2. Which is the closest to -0.05? (a) m (b) s (c) 4 b Let f be 24/(-15)*(-135)/(-6). Let u = 12914/3 - 4341. Let p = f - u. Which is the closest to 2? (a) 0 (b) p (c) -0.5 b Let s = -226 + 226.1. Let w = -95 + 100. Let j = -3/5 + 4/5. What is the closest to s in w, 0.25, j? j Let q = 12.22 + -633.22. Let r = q + 623. Which is the nearest to 0? (a) r (b) 1/5 (c) 0.17 c Let l = -814.2 + 814. Which is the nearest to -0.4? (a) -2/17 (b) l (c) 5 b Let g = 94.932 - 95. Let d = -0.432 + g. Which is the nearest to -1? (a) 2 (b) d (c) -7/11 c Let r = 14.25 - 15. Let n = 0.55 + r. Which is the nearest to n? (a) -3 (b) 1/2 (c) -11 b Let f = 0.332 + -133.332. Let l = f - -131. Let k be (0 - (-15)/12) + -1. Which is the nearest to 3? (a) l (b) k (c) 0.5 c Let r = 239 + -481/2. Suppose 0 = -2*y + y + 28. Let d = y + -83/3. Which is the closest to -1/5? (a) -2/9 (b) d (c) r a Let q = -9.48 + 11.402. Let x = 35.922 - 36. Let t = q - x. Which is the closest to t? (a) 0.5 (b) -2/5 (c) 2/7 a Let s be (-6)/(-7)*2 + -2. Suppose -19*o + 59 = -36. Suppose 0 = -o*d - q - 28, -19*q + 9 = -3*d - 17*q. Which is the closest to -0.1? (a) d (b) s (c) -0.4 b Let p = -20 - -17. Let k be ((-283)/4)/(-7 - 29/(-4)). Let s = k - -279. Which is the closest to -2/3? (a) 1/6 (b) s (c) p a Let b = -121/217 - -4/31. Let f = 151.61 + -151. Let i = 1.61 - f. What is the nearest to i in 4/5, b, -1/3? 4/5 Let r = -10 - -10.5. Let y = -60872.6 - -60873. Which is the nearest to 0? (a) y (b) -0.2 (c) r (d) 15 b Let x = 0.0533 + -0.1533. Which is the nearest to 3/29? (a) 2 (b) x (c) -0.5 b Suppose -1980 = 719*s - 224*s. Which is the nearest to 2? (a) 4/5 (b) s (c) -6/11 (d) -2 a Let t = -7.566 + 7.7. Let j = 60.896 + -60.63. Let m = j + t. What is the closest to -3 in -1, 4, m? -1 Let b = 5.374 - 5.474. What is the closest to b in 2/5, -3/7, -5, 17? -3/7 Let w = -164.76 - -164.56. Which is the nearest to 5? (a) -2/5 (b) w (c) -7 b Let j = -0.54 + -32.46. Let n = j + 65. Let f = n - 33. Which is the closest to f? (a) 0.4 (b) -1/9 (c) 0 b Let k = -65943/4 - -16486. Which is the nearest to -0.1? (a) k (b) 68/11 (c) -1 (d) 2/9 d Let r = 1209.3 - 1206.4. Which is the closest to 0.4? (a) 0.1 (b) 0.5 (c) r (d) -0.07 b Let k = 0.06 - 2.06. Let d = -5 + 1. Let h be -11 + (-40 - -19) + 27. Which is the nearest to 0? (a) d (b) h (c) k c Let i be (-6)/(-9)*5/10. Suppose -10*p - 3 = -9*p. Let h = 0.05 + 0.01. Which is the nearest to h? (a) i (b) -4 (c) p a Let x = 6.121 + -6.2. Let z = -2264 + 2263.079. Let b = z + x. What is the closest to 0.1 in 6/11, b, 5? 6/11 Suppose 5*l = -30, -8*r = -14*r - 3*l - 18. Which is the nearest to -4? (a) 5.1 (b) r (c) -4 (d) -2 c Let h be (5 - ((-9)/(-6) - 2))/(66/6). Let w be 2/(24/(-21))*4. Which is the nearest to h? (a) w (b) 0.1 (c) -4 (d) 0.3 d Suppose 3*m = -5*n - 28, -n - 4*m - 22 = -2*n. Which is the nearest to 0? (a) -5/2 (b) n (c) 3.6 (d) -4 b Suppose 5*t + 31 = 4*j, -4*j - 6*t + 10 = -4*t. Suppose j*n + 0 = -4. Let x be 5*(-286)/385 + 12*(-3)/(-9). What is the nearest to n in -4, 0.4, x? x Let i = -26842.42 + 25125.423. Let k = 1720 + i. Let x = -0.003 + k. What is the closest to 5/4 in x, -1, 2/21? 2/21 Let t be (4/(-7))/((-28)/294). Let p be (406/42)/((-2)/t*1). Let i = p + 31. What is the closest to 0 in 0, i, 0.4? 0 Let w = 73 - 68. Let l = -9483 + 9480. Let n be (2/(-4))/((-1)/(-2)). Which is the closest to n? (a) l (b) 1/5 (c) w b Let h(g) = -g**2 + 22*g + 28. Let p be h(23). Let y = -139 - -1530/11. Which is the closest to y? (a) -0.1 (b) -0.3 (c) p a Let m = 94 - 99. Let j = 16/11 + -59/33. Which is the nearest to 0? (a) j (b) m (c) -1/6 c Let y = -3 + 3. Let z = 119.4 + -129. Let u = z - -9.1. What is the closest to u in -0.4, -2, y? -0.4 Let r = -10874 - -10872. What is the nearest to -1 in -111, 1/7, -0.4, r? -0.4 Let i = -1.786 + 1.41. Let s = 0.076 + i. What is the closest to 0 in 2/7, 3/2, s? 2/7 Let i = -46 - -42.1. Let m be (-28)/8 - -5 - 1. What is the nearest to m in -0.3, i, 1/2? 1/2 Suppose 5*x + 1740 = -3*q + 7*q, 0 = -2*q + 2*x + 868. Let h = q + -434. What is the closest to -1/2 in h, 2/185, -2, -1/6? -1/6 Let m be 69*(-1)/(-16)*(-336)/4452. Let v = 4/53 + m. Which is the nearest to v? (a) 1/2 (b) 2/3 (c) 8 a Let b = 18.122 - 17.922. Suppose y + 10 = 2*z, 0 = -3*y - 5*z + z + 10. What is the closest to b in y, 5, 7? y Let p = 1.16 - 1. Let b = p - 0.17. What is the nearest to -1 in 2/7, b, 6? b Let p(n) = -n + 10. Let o be p(0). Let j be 4/o + (-6)/10. Let x = 171337 + -171337.5. Which is the closest to 2? (a) -2/9 (b) x (c) j c Let o = 19956 - 19956.2. What is the closest to -0.1 in -0.4, o, -26, 1? o Let a = -522 - -474.4. Let d = -47.5 - a. What is the nearest to -2 in -2, d, 18/5? -2 Let f = 2 - 3/2. Let y = 4248.6 - 4249. Which is the nearest to 0? (a) -3 (b) y (c) f (d) -0.09 d Let p = 2.9 + 3.1. Suppose -3*m - 34 = -5*o, 4*o - 554 + 522 = 0. Which is the closest to 0.2? (a) -4 (b) p (c) -1 (d) m c Let m be 5 - 0 - (1 - -2). Suppose 3*k
{ "pile_set_name": "DM Mathematics" }
+ 39. Calculate the highest common factor of c and w. 8 Let n(j) = -j. Let w(r) = -r + 46. Let k(d) = -6*n(d) + w(d). Let v be k(-5). What is the greatest common divisor of 49 and v? 7 Suppose 288 + 1224 = 14*i. What is the highest common factor of i and 81? 27 Let r(g) = -4*g + 314. Let t be r(-4). Suppose 125 = 4*x - 5*v, -154 = -2*x - 3*x + 4*v. What is the greatest common divisor of x and t? 30 Suppose 3*i - b = 39, -5*b + 26 + 31 = 3*i. Let p(a) = a**3 + 24*a**2 + 14. Let t be p(-24). Calculate the highest common factor of t and i. 14 Let z = -12 - -12. Suppose 2*t - 2*x + 86 = z, 3*t + 4*x = -0*t - 101. Let r = 67 + t. What is the greatest common factor of r and 56? 28 Let p(f) = 8*f - 64. Let y be p(48). Calculate the highest common divisor of 80 and y. 80 Let m(l) = -l**3 + 7*l**2 + 8*l + 9. Let j be m(7). What is the greatest common divisor of 1105 and j? 65 Let c be (7 - -1)*(-96)/(-64). Calculate the highest common divisor of 642 and c. 6 Let l = -672 + 766. Calculate the highest common factor of 611 and l. 47 Let r = 201 + -214. Suppose 4*v + 0*v = 4*b + 24, 0 = -b - 2*v + 9. Let t be 2*b + (-741)/r. What is the greatest common factor of 11 and t? 11 Let n be -10*(-33)/45 - (-1)/(-3). What is the greatest common factor of 112 and n? 7 Let b = -1 + 11. Let g = b + -7. Suppose -j = g*j - 32. What is the greatest common divisor of j and 8? 8 Let p be (3 - 1)/(2/3). Let l = -118 - -119. Calculate the highest common divisor of l and p. 1 Suppose a = 2*a - 3. Suppose 5*f + g + a*g - 483 = 0, -5*f + g + 498 = 0. Calculate the greatest common divisor of 66 and f. 33 Suppose -8 = -v + 15. What is the greatest common factor of v and 1? 1 Let u(d) = -2*d - 3*d + 4*d. Let r(a) = -a**2 + 27*a - 56. Let n be r(25). Let l be u(n). Calculate the greatest common divisor of l and 30. 6 Let q = -84 - -92. What is the greatest common divisor of q and 6? 2 Let w be (-40)/6*378/(-28). Suppose 5*l = -k + 18, 5*k - 4*l - w = -5*l. Let c be 4/18 - (-156)/27. What is the greatest common divisor of k and c? 6 Let i = -73 + 473. Suppose -85*s - i = -90*s. Suppose -8 = -t + 2. What is the greatest common factor of t and s? 10 Suppose 0 = -16*b + 19*b - 9, -5*p + 4*b = -68. Calculate the greatest common divisor of p and 112. 16 Let x(d) = 19*d + 21. Let u be x(7). What is the greatest common divisor of 847 and u? 77 Suppose 2 = -t, -4*t + 0*t - 76 = -4*z. Calculate the highest common divisor of 221 and z. 17 Let a(c) = 18*c - 514. Let p be a(29). Calculate the greatest common factor of 896 and p. 8 Let y(l) = -l**2 + 10*l + 6. Let d be y(10). Let o be (-9)/d - (-93)/6. What is the highest common divisor of o and 126? 14 Suppose -4*l + 14 = -126. Suppose -l = -8*a + 3*a. What is the highest common divisor of a and 63? 7 Let n = -65 - -146. Suppose -k + 12 = -0. Let f be (-3)/(4/k*-1). What is the highest common factor of n and f? 9 Let c = -1791 - -2078. Calculate the highest common factor of c and 7. 7 Let s be -1 + (21/(-15) - -1)*-5. Calculate the greatest common factor of s and 3. 1 Let a(b) = -8*b - 183. Let f be a(-49). What is the greatest common factor of 33 and f? 11 Let n be 12/(-10 - -4) + 12. Let q be -6*((-675)/n + 5). Calculate the highest common factor of q and 15. 15 Suppose -16*y = -5*y - 143. Let x(i) = -6*i**2 + i + 1. Let v be x(-1). Let f = y + v. What is the greatest common divisor of f and 56? 7 Suppose 8*r = 4*r + 48. Suppose -7*t = -3*z - 4*t + 39, -5*z = -3*t - 75. What is the greatest common factor of z and r? 6 Suppose -m - 25 = -6*m. Suppose -4*c - c + 96 = -2*o, 93 = m*c - o. Let z = -12 + c. What is the highest common factor of z and 54? 6 Let o be (-32)/(-6) + (-9)/27. Suppose -2*s - 3 = 4*l - 1, 37 = 5*s - 4*l. Calculate the greatest common factor of o and s. 5 Suppose -4 = -2*l + 2*d, -5*d = 5*l + 5 - 15. Let z be (-8)/(l*(-5)/20). Suppose -2*m = -9 - 71. What is the greatest common divisor of m and z? 8 Let t(c) = 94*c - 41. Let n be t(1). Calculate the greatest common divisor of n and 1. 1 Let j(s) = 4*s + 7. Let h be j(-1). Suppose -t = -h*g + 190, -g - 70 = -2*g - t. Calculate the greatest common divisor of g and 39. 13 Suppose -q - 4*q = -3*v + 70, 0 = 2*q + 5*v - 3. Let s = q + 23. What is the highest common factor of s and 30? 6 Suppose -5*z - w = -3*z - 37, 0 = 3*w + 9. Let k(l) = -10*l - 10. Let i be k(-9). What is the highest common divisor of i and z? 20 Let l(y) = 2*y**2 + 2. Let f be l(2). Let u = f - 12. Let k be (-170)/(-8) - u/(-8). Calculate the greatest common factor of k and 7. 7 Let j be (-50 - 1)/(2*(-36)/192). Calculate the highest common divisor of 748 and j. 68 Let x be (295/(-354))/((-1)/18). Calculate the greatest common factor of 375 and x. 15 Suppose 3*d - 5*r - 23 = -7, 11 = -2*d - r. Let q be (80/d)/(-4)*(-6)/(-4). What is the greatest common divisor of q and 25? 5 Let d(i) = 5*i - 2. Let h be d(1). Suppose -158 = -h*p + 31. Calculate the highest common factor of 7 and p. 7 Suppose 6*m + 5*m = -55. Let a(g) = 3*g**2 + 2*g - 20. Let x be a(m). Let y = -14 + 32. What is the greatest common factor of y and x? 9 Let o = -17 + 21. Suppose -3*k + 5*d + 19 = -2*k, -31 = -o*k + 5*d. Suppose 3*x = 5*x - 64. Calculate the highest common divisor of k and x. 4 Let j be (4 - (6 - 8)) + 10. Calculate the greatest common divisor of j and 176. 16 Suppose 3*y + 32 = 7*y - 5*t, -t = -y + 7. Calculate the greatest common divisor of y and 141. 3 Let j = 249 + 697. What is the greatest common divisor of 258 and j? 86 Let r be (-3)/(-18) - (-4)/(24/1325). Calculate the greatest common factor of 39 and r. 13 Let o = -544 + 649. Calculate the greatest common divisor of 63 and o. 21 Let l = -326 - -426. Calculate the highest common divisor of l and 60. 20 Suppose 15*g + 4*m = 19*g - 136, 2*g - 82 = -5*m. What is the highest common factor of 99 and g? 9 Let n(l) = 3*l**2 - 2*l - 7. Let q(s) = 4*s**2 - s - 8. Let r(u) = 5*n(u) - 4*q(u). Let j be r(-5). What is the highest common divisor of j and 8? 2 Suppose 2*b = -4*p + 3*p + 60, -108 = -2*p + 2*b. Suppose 0*g + 50 = 2*g + 2*r, -p = -2*g + r. Calculate the greatest common divisor of g and 27. 27 Suppose 2*r = c + 1589, -2457 = -4*r + 5*c + 712. What is the greatest common factor of 4 and r? 4 Let b be 1*((-2 - -56) + 1). Let q be (3/(-4))/(2/8). Let c be (q/(-2) - -1)*2. Calculate the highest common divisor of c and b. 5 Let r = -48 + 80. What is the greatest common divisor of r and 56? 8 Let j(v) = 21*v - 160. Let q be j(8). What is the highest common divisor of q and 36? 4 Let u be 1/((-5)/35) - -5 - -13. Calculate the highest common factor of 6 and u. 1 Suppose n + 0*v - 2*v - 24 = 0, -4*v = n - 54. Let k be 3914/n + (-42)/357. Calculate the greatest common factor of 46 and k. 23 Let r be -2 + -2 + (50 - 1). Suppose 0 = -4*g + 5*t + r, g = t + 5 + 5. Suppose 5*u + 76 = 86. What is the highest common divisor of u and g? 1 Suppose 0 = -10*f - 10*f + 780. Let a(q) = q**3 - 20*q**2 + 3*q - 8. Let z be a(20). Calculate the greatest common factor of z and f. 13 Suppose 0 = -3*q + 4*q + 2*k - 5, 11 = 5*q - 4*k. Let g be q - (-4 - -5)*-117. Calculate the greatest common divisor of g and 15. 15 Let d be 5/((-5)/(-4)) + -1. Let m = -10 + 10. Let z be m + 2 - (4 - 5). What is the greatest common divisor of d and z? 3 Let q(i) = 20*i - 64. Let w be q(4). Calculate the highest common factor of 432 and w. 16 Let a = -62 - -65. Suppose 0 = 3*y - 3*n + 4 + 5, y - a*n = -13. What is the highest common divisor of 22 and y? 2 Suppose 2*t + 0*w = 3*w + 16, 2*t = -w. Suppose -200 = -t*d + 3*r - 29, -4*d + 369 = 3*r. Calculate the highest common divisor of d and 10. 10 Let j(d) = -d**2 - 11*d - 13. Let s be j(-9). Let q = -442 + 668. Suppose q = -s*g + 601. What is the greatest common factor of 15 and g? 15 Let t = -33 - -57. Calculate the highest common divisor of t and 18. 6 Let g = -14 + 39. Let t be ((-3624)/15)/((-10)/g). Suppose -4*b - 4*x = -364, 0 = 5*b + 3*x + 139 - t. Calculate the greatest common divisor of b and 24. 24 Suppose -3*n - 90 = -324. What is the highest common factor of 39 and n? 39 Let f = -29 + 33. Suppose c = 3 + f. Let j(h) = 6*h - 2. Let l be j(5). Calculate the greatest common factor of c and l. 7 Let l be (-70)/245 + (-144)/(-14). What is the highest common f
{ "pile_set_name": "DM Mathematics" }
sqrt(360))/sqrt(2)). -25*sqrt(17)/4 Simplify (-2 + sqrt(425))*4 - (-4 + (sqrt(17) + 0 + sqrt(17) - sqrt(17)) + -4). 19*sqrt(17) Simplify ((-2 + sqrt(7))*1)**2 + -3 - (2 + (sqrt(56)/(sqrt(64)/sqrt(8)))**2). -4*sqrt(7) - 1 Simplify (4*(-5*sqrt(209)*3 - sqrt(209)))/(2*(-3*sqrt(22))/sqrt(2)). 32*sqrt(19)/3 Simplify 3*(-2 + (sqrt(147)*-1 - sqrt(147))*-1). -6 + 42*sqrt(3) Simplify (sqrt(45) - sqrt(225)/sqrt(5))*3 + -6*(1 + sqrt(405) - sqrt(405)). -6 Simplify sqrt(288) - (sqrt(288) + -2*sqrt(288) + sqrt(288) + sqrt(288))**2 - sqrt(14)/(sqrt(28)/sqrt(4)) - (-1 + sqrt(72) + -2 + sqrt(72)). -285 - sqrt(2) Simplify (((1*sqrt(243) - sqrt(243)) + 5 + 2)**2 + ((sqrt(243) - (sqrt(243) + -6*(sqrt(243) + 1 + sqrt(243))))*-6)**2)*-6. -7566342 - 279936*sqrt(3) Simplify ((-3*-2*sqrt(2940))/(sqrt(588) + sqrt(588) + (-1*sqrt(588) - sqrt(588) - sqrt(588))*-5))**2. 180/289 Simplify -5 + ((3*sqrt(119)*2 + sqrt(119) - sqrt(119)) + sqrt(119))/(sqrt(63)/sqrt(144)). -5 + 28*sqrt(17) Simplify (-5*(-3 + sqrt(300)*-2 + sqrt(300) - (1*sqrt(300) + -1))*-1)**2. 2000*sqrt(3) + 30100 Simplify (-5*((0 + sqrt(252))*2 + sqrt(252))*-6)**2. 2041200 Simplify (sqrt(1100) + 0 + 3 - (4 + sqrt(1100) + 0) - (0 + ((sqrt(88)*-2)/sqrt(8) + sqrt(11))*2))**2. -4*sqrt(11) + 45 Simplify -6*((sqrt(144)/sqrt(3)*-2 - -1*sqrt(192))**2 + -1). 6 Simplify -6*(sqrt(121)/(sqrt(11)*-3) - sqrt(44)/(sqrt(12)/sqrt(3))). 8*sqrt(11) Simplify (sqrt(180) + 1 + sqrt(180))**2 - sqrt(540)/(sqrt(12) - sqrt(588)). 49*sqrt(5)/2 + 721 Simplify 6*(sqrt(95) - sqrt(95)*2*-3)/(sqrt(30)/sqrt(96))*-6. -1008*sqrt(19) Simplify ((sqrt(66)/(sqrt(18)/sqrt(3)) - (sqrt(11) - -4*(sqrt(44)/sqrt(4) - sqrt(11)))) + -4*sqrt(1100)*-2)**2. 70400 Simplify -3*((sqrt(75) + 1 - sqrt(75)) + 1 - (sqrt(75) - (sqrt(75) + (4 + sqrt(75) - sqrt(75))))*1). -18 Simplify (sqrt(7) + sqrt(63)/(-1*sqrt(9)) + sqrt(7) - sqrt(49)/sqrt(28) - (sqrt(112) + 1 - (sqrt(21) - sqrt(63)/sqrt(3))/sqrt(3)))**2. 7*sqrt(7) + 347/4 Simplify -4*(2 + -1 + sqrt(5) + 0 + ((-4 + (1*sqrt(5) - sqrt(5)))**2 - sqrt(5))). -68 Simplify -6*(-3 + (-3*(((sqrt(704) - (sqrt(704) - (1 + sqrt(704)))) + sqrt(704))*-2 + sqrt(704) + sqrt(704)) + 1)**2). -152340 - 4032*sqrt(11) Simplify -3*((5*sqrt(5)*-1 - (sqrt(5) + (sqrt(5) - (sqrt(500) + 1))))**2 + ((-5*(sqrt(10)/sqrt(2) - sqrt(5)))**2 - (-3 + sqrt(20)))). -147 - 12*sqrt(5) Simplify (1*(sqrt(85) + (sqrt(85) - 1*sqrt(85))*2 + sqrt(85) - sqrt(85)))/(-2*(sqrt(5) - (sqrt(605)*4 - sqrt(605)))). sqrt(17)/64 Simplify (-4 + (-4*-3*sqrt(1331) - ((sqrt(1331) + 0)*-3 - sqrt(1331))))**2. -1408*sqrt(11) + 340752 Simplify (sqrt(36)/(-1*sqrt(12)*-4 + sqrt(12)) + -5)*-3*3. -9*sqrt(3)/5 + 45 Simplify (sqrt(1573) + (-2*sqrt(1573) - sqrt(1573)) - sqrt(1573))*-5*-5 + 4. -825*sqrt(13) + 4 Simplify (sqrt(24)/(sqrt(16)/sqrt(4)) + 1*sqrt(24))/(1*sqrt(432)*1). sqrt(2)/4 Simplify (4 + -3 + ((sqrt(36) + sqrt(900))*-5)/sqrt(12))**2. -60*sqrt(3) + 2701 Simplify 0 + 1 + sqrt(275) + -2 + -1. -2 + 5*sqrt(11) Simplify (((-1*sqrt(2835) - sqrt(2835)) + (-1*sqrt(70) + sqrt(70) - sqrt(70))/sqrt(2) + sqrt(35))/(sqrt(5)*-1*-1 + sqrt(15)/sqrt(3)*-2)*-1)**2. 2268 Simplify (4*sqrt(147)*1*3 - (3 + 1*sqrt(147) + 4))**2. -1078*sqrt(3) + 17836 Simplify (-2*sqrt(480) - 6*sqrt(60)/sqrt(2))/(sqrt(640) - 5*(-1*sqrt(640) + sqrt(640) + sqrt(640))) + -3. -3 + 7*sqrt(3)/16 Simplify 3*((sqrt(1584) + -1)**2 + sqrt(88)/sqrt(2) + sqrt(66)/(sqrt(66)/sqrt(176))). -54*sqrt(11) + 4755 Simplify (sqrt(55)/(sqrt(40)/(sqrt(8) + sqrt(32)/sqrt(4))))**2 - ((-5*(sqrt(11) + 1))**2 - (0 + sqrt(11) + 2)). -254 - 49*sqrt(11) Simplify (-5 + (sqrt(833) + sqrt(833)*-5)*1 + -5)**2. 560*sqrt(17) + 13428 Simplify (sqrt(378)/(2*sqrt(6)) - -5*-2*sqrt(63))/((6*sqrt(216)/sqrt(4) - sqrt(54))/sqrt(6)). -19*sqrt(7)/10 Simplify (-3*(3*sqrt(110) - sqrt(110))*4)/((sqrt(90) - (-3*sqrt(90) - sqrt(90)))*2). -4*sqrt(11)/5 Simplify -6*(((sqrt(152)*-5)/sqrt(8))**2 - (sqrt(19) + 0 + -3)). -2868 + 6*sqrt(19) Simplify (sqrt(4)/sqrt(2) + 1)*-4 + sqrt(242) + -1 + sqrt(2) + -4. -9 + 8*sqrt(2) Simplify (-6*(sqrt(12) - sqrt(3)) - sqrt(3))**2*4 - ((sqrt(324) - (sqrt(324) + -5*sqrt(324)))/sqrt(12))**2. -87 Simplify (sqrt(5082)*-4)/(sqrt(600)*3). -22*sqrt(7)/15 Simplify (-4*(1 + (sqrt(891)*1 - sqrt(11)) + -1*sqrt(11)*-1) + -2)**2. 432*sqrt(11) + 14292 Simplify ((5 + sqrt(176))*5*-5)**2 + (((1*sqrt(66) - sqrt(66))/sqrt(3))/sqrt(2) + 5)**2. 25000*sqrt(11) + 125650 Simplify (sqrt(77)*1*4)/sqrt(11) - (-3*sqrt(7) + -5)*-1. -5 + sqrt(7) Simplify (sqrt(57)/(sqrt(18)/sqrt(6)) + sqrt(19))*-1 + -5*sqrt(304)*-3. 58*sqrt(19) Simplify (4*(sqrt(432)*2 + sqrt(432) + sqrt(432) + sqrt(432) + 2 - (sqrt(432) + 2 + -5)))**2. 7680*sqrt(3) + 110992 Simplify 3 + (sqrt(448)*-2)**2 + 2 + sqrt(448) + -4*2*sqrt(448). -56*sqrt(7) + 1797 Simplify ((sqrt(84) + (sqrt(84) - sqrt(84)*2)*-2)/(sqrt(48)*-3))**2 + (-1 + sqrt(1792) + -1)**2. -64*sqrt(7) + 7191/4 Simplify ((sqrt(539) - (4 + (sqrt(539) - (sqrt(539) + 2*sqrt(539)) - sqrt(539)))) + (sqrt(539) - sqrt(539)*-1 - sqrt(539))*2)**2 + 2 + 2. -336*sqrt(11) + 19424 Simplify ((-1*5*sqrt(17)*2)**2 - (sqrt(136)/(sqrt(128) + sqrt(8) - sqrt(8)) - sqrt(51)/(sqrt(3) + (sqrt(3) - -1*sqrt(3))))) + 4. sqrt(17)/12 + 1704 Simplify -4*(sqrt(7) + -2)*-3 + sqrt(63)/(sqrt(72)/sqrt(2)). -24 + 25*sqrt(7)/2 Simplify 6*(sqrt(2) + (sqrt(4)/sqrt(2))**2)*6 - -2*sqrt(6)/sqrt(3)*-3. 30*sqrt(2) + 72 Simplify 4*(-4*-2*sqrt(98))**2 - ((0 + sqrt(128))*-2 - sqrt(128))**2*3. 21632 Simplify 0 + sqrt(1900) + -1 + 3 + (sqrt(1900) + 0)*4 + 4. 6 + 50*sqrt(19) Simplify (-4*(sqrt(52) + sqrt(52)*-1) + 1*sqrt(1872))/((sqrt(120)/sqrt(3))/sqrt(10) - sqrt(36)*-1). 3*sqrt(13)/2 Simplify -5 + ((-1 + sqrt(243))*5*6 + sqrt(243) + sqrt(243) + sqrt(243) + 0 + -5 + 4*((sqrt(243) - (sqrt(243) + 1)) + sqrt(243)))**2. -25974*sqrt(3) + 334183 Simplify 2*(2 + sqrt(208)*2 + 4). 12 + 16*sqrt(13) Simplify 3*(sqrt(2448) - (5 + sqrt(2448)*2 + sqrt(2448))**2) + -4 + 4. -66171 - 1044*sqrt(17) Simplify (-4*(sqrt(28)/(sqrt(28)/sqrt(7)) + sqrt(7)*-3*2)*-6)**2. 100800 Simplify (sqrt(300) - (2*sqrt(300)*-6)**2) + sqrt(300) + 4 + 4. -43192 + 20*sqrt(3) Simplify (-5 + (-5 + (0 + (sqrt(567) - (1 + sqrt(567))) + sqrt(567) - (2 + 2*sqrt(567))))*5)**2. 4050*sqrt(7) + 16200 Simplify (sqrt(2940)*-3 + sqrt(2940))/(sqrt(768)*-2). 7*sqrt(5)/8 Simplify (-4*sqrt(256) - -1*sqrt(48)/sqrt(3))/((sqrt(1152) + (1*sqrt(1152) - sqrt(1152)) + sqrt(1152) + sqrt(1152) - sqrt(1152)) + sqrt(80)/sqrt(90)). -45*sqrt(2)/73 Simplify (1*sqrt(448)*-6 + 3)**2 + -5 + (sqrt(448) - -1*sqrt(448)) + -2 + sqrt(448). -264*sqrt(7) + 16130 Simplify (0 + sqrt(19)*2 - sqrt(228)/(-2*sqrt(12)))**2 + sqrt(684)*-1*-5. 475/4 + 30*sqrt(19) Simplify (-2 + 1*sqrt(128)*3 - ((sqrt(128) + 0)*3 + -1))**2*6. 6 Simplify (sqrt(264)/(sqrt(128)*-1))/(sqrt(33)/((sqrt(121) - (sqrt(121) - 1*sqrt(121)))/sqrt(11))). -sqrt(11)/4 Simplify (2 + sqrt(242) + -1*sqrt(242) + sqrt(242) + sqrt(242) - sqrt(10)/(sqrt(40)/(1*sqrt(8))))**2. 84*sqrt(2) + 886 Simplify sqrt(66)/(sqrt(294) - -3*sqrt(294)) - -4*(2 + sqrt(396) + sqrt(396)). 8 + 1345*sqrt(11)/28 Simplify -3*5*(sqrt(363) + -1*(sqrt(363) + (sqrt(363)*-1)**2 + sqrt(363)))*3 + -3. 495*sqrt(3) + 16332 Simplify ((-1*sqrt(405) + -4)*2 - ((1 + 0 + sqrt(405) - sqrt(405) - sqrt(405)) + -2))**2. 126*sqrt(5) + 454 Simplify ((sqrt(102)/sqrt(6) + -4)*5)**2 + 3 + sqrt(68) + 3 + sqrt(68). -196*sqrt(17) + 831 Simplify 4 + (2*sqrt(76)*4)**2*2. 9732 Simplify 2*(-2 + 1 + (sqrt(147)/sqrt(3))/sqrt(7) + (sqrt(35)/(sqrt(25)/sqrt(5)))**2). 2*sqrt(7) + 12 Simplify ((((sqrt(144) - -1*sqrt(144)) + sqrt(144))/sqrt(6))/sqrt(12))**2 + ((sqrt(600) - sqrt(24))/sqrt(4) + sqrt(6))/sqrt(3). 5*sqrt(2) + 18 Simplify (-1 + (sqrt(147) - (-1 + sqrt(147))) - -3*sqrt(3)*-1*-1)*-2. -6*sqrt(3) Simplify (sqrt(363) + -1 - sqrt(363))*-4 + -5 + (sqrt(48) + 1 - (sqrt(108) + -1)). -2*sqrt(3) + 1 Simplify ((sqrt(1539) - (-1 + 3 + sqrt(1539))) + (-2 + sqrt(1539) + sqrt(1539)*4 + sqrt(1539) + sqrt(1539))**2)*2. -504*sqrt(19) + 150826 Simplify 2*(sqrt(3025) + (sqrt(3025)*-1 - sqrt(3025)))/(sqrt(50)/(sqrt(10)*-1)). 22*sqrt(5) Simplify 3 + ((sqrt(187)*1 + sqrt(187))/sqrt(11))**2 - (sqrt(68)/sqrt(4) + -1 - (sqrt(425)*1 + sqrt(425))). 9*sqrt(17) + 72 Simplify 3 + 1*sqrt(75) - (sqrt(75) + -2)*-4 - (6*(4 + sqrt(75)*-3 + sqrt(75)))**2. -11381 + 2905*sqrt(3) Simplify -6*
{ "pile_set_name": "DM Mathematics" }
be 3/b*(1 - 7). What is the first derivative of m**3 + 9*m**3 - 7 - 15*m**3 + 8*m**z wrt m? 9*m**2 Let n = 164 + 165. What is the first derivative of -25 - n*c**2 - 5*c**3 + 329*c**2 wrt c? -15*c**2 Suppose 4*i - 14 = -3*i. What is the second derivative of -i*l - 14*l**2 - 3*l - 2*l wrt l? -28 Let t(z) be the second derivative of -35*z**4/2 + 167*z**3/3 - z**2/2 + 267*z. Find the second derivative of t(o) wrt o. -420 Let b(i) = -3*i**2 - 2*i - 1. Let a be b(-1). Let w be a - (-5 + (-4 - -5)). Find the second derivative of 5*d - 2*d**w - 11*d**3 + 12*d**3 + 2*d**2 wrt d. 6*d Let l(z) be the second derivative of 0*z**3 + 0 + 7/2*z**2 + 0*z**5 - 6*z + 0*z**4 + 1/15*z**6. Differentiate l(w) wrt w. 8*w**3 Find the third derivative of 20*d**4 - 12*d**4 + 118*d**2 + 118*d**2 + 9*d**5 - 15*d**5 wrt d. -360*d**2 + 192*d Let s(j) be the second derivative of 0*j**6 + 3/28*j**8 + 0*j**3 - 7/4*j**4 + 0*j**5 + 0*j**2 + 0*j**7 + 2*j + 0. Find the third derivative of s(m) wrt m. 720*m**3 Let m(w) = -w**3 - 3*w**2 - 3*w - 6. Let h be m(-4). Differentiate -10 - 17 - 2*a**2 + h with respect to a. -4*a Let q(h) be the third derivative of 10*h**9/21 - h**6/60 - 83*h**5/10 - 10*h**2 + 9*h. Find the third derivative of q(k) wrt k. 28800*k**3 - 12 Let d(n) be the first derivative of 2*n**5/5 + 91*n**4/4 + n**2 + 323*n - 373. What is the second derivative of d(p) wrt p? 24*p**2 + 546*p Let a = -1/72 - -253/72. Let b(c) be the second derivative of 0*c**5 - 4*c - 1/30*c**6 + 0 + a*c**2 + 0*c**3 + 0*c**4. What is the derivative of b(g) wrt g? -4*g**3 Let b = -34 + 38. Find the third derivative of -19*a**b - 12*a**4 - 31*a**2 + 14*a**2 wrt a. -744*a Let s(i) = 5*i - 2. Suppose -7*p + 1 + 27 = 0. Let l be -3*(-2)/((-4)/18). Let g(k) = 36*k - 15. Let n(w) = l*s(w) + p*g(w). Differentiate n(o) wrt o. 9 Let d(i) be the third derivative of -i**6/3 + i**5/30 - 3*i**4/8 + 120*i**2 + 1. Find the third derivative of d(k) wrt k. -240 Let l(j) = -25*j**5 + 11*j**3 - 6*j**2 + 4*j + 1. Let w(x) = x**3 - x**2 + x. Let k(q) = l(q) - 6*w(q). Find the second derivative of k(z) wrt z. -500*z**3 + 30*z Let v(n) be the second derivative of -3*n**6/40 + n**4/2 - 3*n**3 + 27*n. Let c(b) be the second derivative of v(b). Differentiate c(z) wrt z. -54*z Let n(b) = -24*b**3 - 7*b**2 - 17*b + 22. Let u(m) = 12*m**3 + 4*m**2 + 9*m - 12. Let s(k) = 6*n(k) + 11*u(k). What is the second derivative of s(i) wrt i? -72*i + 4 Let l(c) = -42*c**5 + 2*c**2 - 52*c - 2. Let k(y) = -210*y**5 + 10*y**2 - 260*y - 10. Let j(d) = -3*k(d) + 14*l(d). Find the second derivative of j(s) wrt s. 840*s**3 - 4 Suppose -2*i = -4 + 16. Let o = -4 - i. Differentiate 0*r**o + 0*r**2 - 6 - 2*r**2 - 3*r**2 wrt r. -10*r Suppose -3*f - 3*f = -180. Let y be (-15)/f*(-21 + -1). What is the second derivative of -y*j + 4*j**5 + j**5 - 12*j + 24*j wrt j? 100*j**3 Let h(m) be the third derivative of 0 - 13/12*m**4 + 0*m + 35/6*m**3 + 14*m**2. Differentiate h(y) wrt y. -26 Suppose -1 = 2*y - 3*y, y + 19 = 2*v. Differentiate -4*w + 1 - 5 - v wrt w. -4 Suppose 3*m - 17 = 1. Suppose -k = -m*k. Find the second derivative of -5*y + 44*y**5 - 50*y**5 + k*y wrt y. -120*y**3 Let a = 592 - 250. Find the third derivative of a + 2*s**5 - 342 - 11*s**2 wrt s. 120*s**2 Suppose q + 3*q - 46 = -3*t, 2*t - 25 = 3*q. What is the second derivative of -t*o - 5*o**2 - 31*o**2 - 13*o + 5*o**2 wrt o? -62 Let k(h) = 2*h**2 - 21*h + 83. Let x(m) = m**2 - 20*m + 82. Let r(l) = 2*k(l) - 3*x(l). Differentiate r(y) wrt y. 2*y + 18 Let v be (-6)/14 + (-840)/98. Let l = -2 - v. Find the second derivative of l*w**5 - 6*w**5 + 2*w**5 - 11*w wrt w. 60*w**3 Suppose -6 = -2*b - 5*k, 0 = -4*b - 7*k + 6*k + 30. Find the second derivative of 6*h + b*h**5 - 15*h**5 + 8*h**5 wrt h. 20*h**3 What is the first derivative of 235403*m + 628 + 236*m**3 - 235403*m + 293*m**3 wrt m? 1587*m**2 Let i(t) be the third derivative of 121*t**4/24 - 21*t**3/2 - 29*t**2. Differentiate i(v) wrt v. 121 Let o(r) = -3*r**3 - 11 + 7 - 8*r**2 - r**2 + 62*r**3. Let l(x) = -58*x**3 + 8*x**2 + 3. Let n(u) = 5*l(u) + 4*o(u). Find the third derivative of n(c) wrt c. -324 Let u(b) be the second derivative of 7*b**6/3 - 68*b**4/3 - 667*b. What is the third derivative of u(w) wrt w? 1680*w Let j(u) = 121*u - 34. Let h(n) = -120*n + 35. Let q(r) = -3*h(r) - 4*j(r). Find the first derivative of q(p) wrt p. -124 Let s be 5*(16/20)/4. Let j(u) = 2*u + 1. Let y be j(s). Find the third derivative of 40*r**3 - 46*r**y - 10*r**2 - 1 + 1 wrt r. -36 Let a(t) = 4*t**2 + 7*t. Let l(p) = -p. Let c be (3/(-2))/((-3)/20). Let y(b) = c*l(b) + 2*a(b). What is the second derivative of y(h) wrt h? 16 Let u(s) = -13*s - 1 - 26*s**2 + 7*s - 8*s - 2. Let n(a) = 52*a**2 + 28*a + 5. Let j(v) = 3*n(v) + 5*u(v). Find the second derivative of j(m) wrt m. 52 Suppose -1 = 4*b - 45. Differentiate -4 - 5*h - b + 6 with respect to h. -5 Suppose 0*n - 47 = -4*n + 3*g, 0 = -4*n + 4*g + 52. What is the second derivative of 4 + 15*u**2 + 4 - 9*u - n wrt u? 30 Let m(x) = 13*x**2 + 4*x + 20. Let u be 3/(-5) - 23/(-5). Let j(t) = 14*t**2 + 5*t + 20. Let l(n) = u*j(n) - 5*m(n). Differentiate l(s) wrt s. -18*s Find the first derivative of -107*y + 16*y**2 - 5 + 107*y - 13 wrt y. 32*y Let n(u) = 4*u**2 + 7*u + 75. Let m(o) = -5*o**2 - 7*o - 73. Let t(y) = 3*m(y) + 2*n(y). What is the derivative of t(f) wrt f? -14*f - 7 Suppose -6 = -5*g + 9. Suppose 0 = 2*n - 1 - g. Find the first derivative of -3 - 3*r - n + 13 - 10 wrt r. -3 Let g(s) be the third derivative of 47*s**7/42 - 51*s**4/8 - s**3/3 - s**2 + 312*s. What is the second derivative of g(i) wrt i? 2820*i**2 Let t be (3/(-3))/(3/(-57)). Let v = t + -10. What is the first derivative of -9 - v + k + 16 wrt k? 1 Let q(s) be the third derivative of -33*s**2 + 0*s**3 + 0*s**4 + 0*s + 2/5*s**5 + 0 + 3/40*s**6. Find the third derivative of q(g) wrt g. 54 Let r(v) = v**3 + 8*v**2 + 5*v - 4. Let d be r(-7). Suppose -3*q = 4 - d. What is the second derivative of 0*h**2 + 2*h**2 - 6*h**2 + q*h wrt h? -8 Let z(b) = -4*b**2 + 10*b + 12. Let w(x) = 4*x**2 - 10*x - 10. Let y(n) = -5*w(n) - 4*z(n). Find the second derivative of y(v) wrt v. -8 Suppose -8*h = -4*h - 20. Suppose -15 = h*o + 5, -o + 4 = 2*q. What is the second derivative of -2*v**q + v + v**4 + 4*v - 7*v**4 wrt v? -96*v**2 Find the second derivative of 5951 - 5949 - 6*p**3 + 3*p - p - 7*p**2 wrt p. -36*p - 14 What is the first derivative of -3*w**2 + 192*w**3 - 480 + 225*w**3 - 340*w**3 wrt w? 231*w**2 - 6*w Find the third derivative of -16*n**3 + 80*n**3 + 2 - 3 - 15*n**2 - 6*n**2 wrt n. 384 Find the third derivative of 33*v**2 - 74*v**2 + 63*v**2 + 37*v**2 + 167*v**3 + 55*v**3 wrt v. 1332 Let x(d) be the third derivative of -143*d**5/60 - 175*d**4/24 - 6*d**2 + 15*d. Find the second derivative of x(a) wrt a. -286 Let b(s) be the first derivative of 165*s**2/2 + 49*s - 72. What is the derivative of b(l) wrt l? 165 Let t(x) = 2*x + 22. Let l be t(0). Suppose l = 3*f + 16. Find the first derivative of 1 + 5*q**f + q**2 - 6 - 2*q**2 wrt q. 8*q Let c(x) = 597*x**2 + 29*x - 1. Let z(k) = -k + 1. Let i(t) = -c(t) - 2*z(t). What is the second derivative of i(m) wrt m? -1194 Let a(d) = 153*d**4 + 5*d**2 + 148*d. Let l(b) = -153*b**4 - 4*b**2 - 147*b. Let q(s) = 4*a(s) + 5*l(s). What is the second derivative of q(z) wrt z? -1836*z**2 Let z(p) = -13*p**3 - 2*p**2 - 2*p - 1. Let f be z(-1). Find the first derivative of 3 - 3*q**4 + 0*q**4 - 2 + f*q**4 wrt q. 36*q**3 Let s(o) be the third derivative of 0 + 0*o**3 + 0*o**5 + 17/24*o**4 + 0*o - 17/120*o**6 - 4*o**2. Find the second derivative of s(v) wrt v. -102*v Let y(o) be the second derivative of o**6/6 - o**4/3 + 29*o**3/6 - 2*o**2 - 2*o - 57. What is the second derivative of y(h) wrt h? 60*h**2 - 8 Let o(u) be the third derivative of -1/3*u**4 + 23*u**2 + 0*u**3 + 0 + 4/15*u**5 + 0*u. Find the second derivative of o(v) wrt v. 32 Let y(a) = 81*a**3 - 9*a**2 - 6*a - 64. Let b(h) = -16*h**3 + 2*h**2 + h + 13. Let k(i) = 11*b(i) + 2*y(i). What is the second derivative of k(m) wrt m? -84*m + 8 Suppose 5*p - 5*p - 6*p = 0. What is the derivative of -34 + p*x**2 + 15 - x**2 + 1 + 3*x wrt x? -2*x + 3 Let j = -96 - -99. Differentiate -6*c**2 - 2*c**2 + j - 4 - 43 wrt c. -16*c Find the third derivative of
{ "pile_set_name": "DM Mathematics" }
erm of -89, -275, -577, -989, -1505, -2119, -2825, -3617? k**3 - 64*k**2 - k - 25 What is the r'th term of 4202, 16797, 37788, 67175? 4198*r**2 + r + 3 What is the f'th term of -3505, -14021, -31549, -56089, -87641, -126205, -171781? -3506*f**2 + 2*f - 1 What is the h'th term of -3384, -3197, -3010, -2823? 187*h - 3571 What is the s'th term of 18, -85, -278, -555, -910, -1337, -1830? s**3 - 51*s**2 + 43*s + 25 What is the x'th term of 455899, 455900, 455901, 455902, 455903, 455904? x + 455898 What is the l'th term of 208, 225, 248, 277, 312, 353? 3*l**2 + 8*l + 197 What is the h'th term of -504, -992, -1454, -1890, -2300, -2684, -3042? 13*h**2 - 527*h + 10 What is the j'th term of 1146, 484, -178, -840? -662*j + 1808 What is the f'th term of -49991, -49988, -49985, -49982? 3*f - 49994 What is the p'th term of -4688, -18783, -42276, -75173, -117480? -p**3 - 4693*p**2 - 9*p + 15 What is the p'th term of 775, 3484, 8125, 14698, 23203? 966*p**2 - 189*p - 2 What is the p'th term of -337, -2709, -9147, -21685, -42357? -339*p**3 + p**2 - 2*p + 3 What is the g'th term of -3369, -6741, -10115, -13491, -16869, -20249, -23631? -g**2 - 3369*g + 1 What is the w'th term of 1842, 3698, 5556, 7416, 9278, 11142? w**2 + 1853*w - 12 What is the u'th term of -14974, -14971, -14968? 3*u - 14977 What is the h'th term of -142149, -142129, -142109, -142089, -142069? 20*h - 142169 What is the u'th term of -579, -583, -581, -573, -559, -539, -513? 3*u**2 - 13*u - 569 What is the w'th term of 1747, 3363, 4979, 6595, 8211, 9827? 1616*w + 131 What is the s'th term of -1770, -1630, -1492, -1356, -1222, -1090? -s**2 + 143*s - 1912 What is the v'th term of -9812, -9811, -9810? v - 9813 What is the c'th term of 5890, 25828, 59050, 105550, 165322, 238360, 324658, 424210? -c**3 + 6648*c**2 + c - 758 What is the h'th term of -1613, -3616, -5617, -7616? h**2 - 2006*h + 392 What is the w'th term of 48, 48, 40, 18, -24? -w**3 + 2*w**2 + w + 46 What is the j'th term of -5076, -4920, -4740, -4524, -4260, -3936, -3540, -3060? 2*j**3 + 142*j - 5220 What is the h'th term of 21, -168, -345, -504, -639, -744, -813? h**3 - 196*h + 216 What is the d'th term of 1011, 2441, 4293, 6567, 9263? 211*d**2 + 797*d + 3 What is the j'th term of -89, -117, -149, -179, -201, -209? j**3 - 8*j**2 - 11*j - 71 What is the d'th term of 577, 726, 873, 1018? -d**2 + 152*d + 426 What is the i'th term of -347, -2706, -9101, -21548, -42063, -72662? -336*i**3 - 2*i**2 - i - 8 What is the n'th term of 99, 437, 1013, 1827, 2879? 119*n**2 - 19*n - 1 What is the w'th term of 696, 858, 1010, 1146, 1260, 1346? -w**3 + w**2 + 166*w + 530 What is the k'th term of -159942, -159955, -159982, -160029, -160102, -160207? -k**3 - k**2 - 3*k - 159937 What is the k'th term of -3414, -6830, -10234, -13620, -16982, -20314, -23610, -26864? k**3 - 3423*k + 8 What is the r'th term of -1136, -2269, -3400, -4529, -5656, -6781, -7904? r**2 - 1136*r - 1 What is the s'th term of 289, 115, -357, -1277, -2795? -25*s**3 + s**2 - 2*s + 315 What is the i'th term of 2491403, 2491408, 2491417, 2491430? 2*i**2 - i + 2491402 What is the x'th term of 5030, 10050, 15070, 20090, 25110? 5020*x + 10 What is the a'th term of -454380, -454384, -454388, -454392, -454396, -454400? -4*a - 454376 What is the v'th term of 3453, 3454, 3455, 3456, 3457, 3458? v + 3452 What is the j'th term of -2938, -5576, -8212, -10846, -13478, -16108, -18736? j**2 - 2641*j - 298 What is the z'th term of -442085, -884169, -1326253? -442084*z - 1 What is the c'th term of -2392, -2395, -2394, -2383, -2356, -2307? c**3 - 4*c**2 + 2*c - 2391 What is the h'th term of -243, -508, -775, -1044, -1315? -h**2 - 262*h + 20 What is the f'th term of -288, -891, -1812, -3057, -4632, -6543? -f**3 - 153*f**2 - 137*f + 3 What is the s'th term of 1627, 1658, 1689, 1720? 31*s + 1596 What is the d'th term of -91356, -91431, -91506, -91581? -75*d - 91281 What is the y'th term of -1519, -1476, -1403, -1300? 15*y**2 - 2*y - 1532 What is the o'th term of -18986, -18976, -18966, -18956, -18946, -18936? 10*o - 18996 What is the w'th term of 2862, 2865, 2868, 2871? 3*w + 2859 What is the i'th term of -690, -768, -906, -1098, -1338, -1620, -1938, -2286? i**3 - 36*i**2 + 23*i - 678 What is the d'th term of 14272, 14281, 14290, 14299, 14308? 9*d + 14263 What is the h'th term of -377569, -755140, -1132711, -1510282? -377571*h + 2 What is the a'th term of 100700, 100695, 100700, 100721, 100764, 100835? a**3 - a**2 - 9*a + 100709 What is the x'th term of -468, -935, -1412, -1905, -2420? -x**3 + x**2 - 463*x - 5 What is the o'th term of -98, 217, 672, 1267, 2002, 2877, 3892? 70*o**2 + 105*o - 273 What is the n'th term of -39702, -39717, -39718, -39699, -39654, -39577, -39462? n**3 + n**2 - 25*n - 39679 What is the w'th term of 712, 2963, 6708, 11941, 18656? -w**3 + 753*w**2 - w - 39 What is the a'th term of 3799, 3827, 3855, 3883? 28*a + 3771 What is the k'th term of -20467, -40938, -61409, -81880, -102351? -20471*k + 4 What is the m'th term of 135, 542, 1213, 2142, 3323, 4750, 6417, 8318? -m**3 + 138*m**2 - 2 What is the y'th term of 340, 719, 1134, 1585, 2072? 18*y**2 + 325*y - 3 What is the y'th term of -294, -220, -24, 354, 974, 1896, 3180, 4886? 10*y**3 + y**2 + y - 306 What is the o'th term of -6143, -6176, -6209, -6242? -33*o - 6110 What is the v'th term of 848, 1710, 2604, 3548, 4560? 3*v**3 - 2*v**2 + 847*v What is the k'th term of -271, -979, -2119, -3697, -5719, -8191, -11119, -14509? -k**3 - 210*k**2 - 71*k + 11 What is the x'th term of -1304, -5230, -11774, -20936, -32716, -47114, -64130? -1309*x**2 + x + 4 What is the x'th term of 328, 365, 430, 523, 644, 793, 970? 14*x**2 - 5*x + 319 What is the v'th term of 100, 304, 612, 1024, 1540, 2160, 2884? 52*v**2 + 48*v What is the b'th term of 10094, 20191, 30302, 40433, 50590, 60779, 71006? b**3 + b**2 + 10087*b + 5 What is the j'th term of 86, 343, 772, 1373, 2146, 3091? 86*j**2 - j + 1 What is the u'th term of 2073, 2094, 2119, 2148? 2*u**2 + 15*u + 2056 What is the s'th term of 7118, 7757, 8396, 9035, 9674, 10313? 639*s + 6479 What is the q'th term of -2059, -8220, -18487, -32860, -51339, -73924? -2053*q**2 - 2*q - 4 What is the u'th term of 234, 214, 194? -20*u + 254 What is the f'th term of -145, -524, -1157, -2044? -127*f**2 + 2*f - 20 What is the v'th term of 320, 520, 724, 938, 1168, 1420, 1700, 2014? v**3 - 4*v**2 + 205*v + 118 What is the o'th term of -15844, -31570, -47296, -63022? -15726*o - 118 What is the g'th term of -111976, -223968, -335960, -447952, -559944? -111992*g + 16 What is the h'th term of -55094, -110175, -165268, -220379, -275514, -330679, -385880? -h**3 - 55074*h - 19 What is the p'th term of 4208, 16991, 38294, 68117, 106460? 4260*p**2 + 3*p - 55 What is the m'th term of 3843, 3837, 3819, 3783, 3723? -m**3 + m + 3843 What is the x'th term of 1511, 1498, 1485? -13*x + 1524 What is the q'th term of 35900, 35891, 35878, 35861, 35840, 35815, 35786? -2*q**2 - 3*q + 35905 What is the r'th term of -275, -444, -725, -1118, -1623? -56*r**2 - r - 218 What is the z'th term of -1305, -2275, -3245, -4215? -970*z - 335 What is the a'th term of -132, -1216, -4124, -9768, -19060? -152*a**3 - 20*a + 40 What is the u'th term of 258851, 258850, 258849, 258848? -u + 258852 What is the s'th term of 98, 485, 1542, 3605, 7010, 12093, 19190, 28637? 56*s**3 - s**2 - 2*s + 45 What is the a'th term of -52, -52, -68, -100, -148? -8*a**2 + 24*a - 68 What is the w'th term of 1701, 3394, 5061, 6690, 8269, 9786, 11229, 12586? -2*w**3 - w**2 + 1710*w - 6 What is the w'th term of -2675, -5415, -8153, -10889, -13623? w**2 - 2743*w + 67 What is the x'th term of 5580, 22488, 50668, 90120, 140844, 202840, 276108? 5636*x**2 - 56 What is the z'th term of -767, -2987, -6665, -11801? -729*z**2 - 33*z - 5 What is the a'th term of -15, 48, 233, 600, 1209, 2120, 3393? 10*a**3 + a**2 - 10*a - 16 What is the r'th term of 54, 59, -62, -369, -922, -1781, -3006? -10*r**3 - 3*r**2 + 84*r - 17 What is the z'th term of -446, -3224, -10766, -25454, -49670? -397*z**3 + z - 50 What is the j'th term of -1012, -1046, -1088, -1132, -1172, -1202, -1216, -1208? j**3 - 10*j**2 - 11*j - 992 What is the h'th term of -16585, -16389, -16193, -15997, -15801, -15605? 196*h - 16781 Wha
{ "pile_set_name": "DM Mathematics" }
(104)? -26 Let w(v) = -30*v**3 + 327*v**2 + 35*v - 113. Give w(11). -91 Let d(b) = -11*b**2 - 38*b + 251. Give d(10). -1229 Let d(b) = -b**2 + 33823*b - 2194266. Calculate d(65). 4 Let o(s) = s**3 + 5041*s**2 + 155310*s - 22. What is o(-31)? -22 Let z(v) = 24*v**2 - 202*v - 31. Calculate z(10). 349 Let v(g) = -g**3 + 433*g**2 - 480*g + 17236. Give v(432). -3500 Let w(j) = -4*j**2 - 988*j - 13845. Give w(-14). -797 Let b(d) = -d**2 - 29630*d + 237176. Determine b(8). 72 Let f(h) = 32*h - 2601. Determine f(48). -1065 Let p(f) = -3578*f + 95075. Give p(27). -1531 Let i(o) = -703*o + 22. Determine i(2). -1384 Let q(m) = -567*m**2 - 1891*m + 1890. Calculate q(1). -568 Let f(h) = 443*h**3 - 2649*h**2 - 33*h - 1. What is f(6)? 125 Let z(c) = -51*c**2 - 998*c - 515. Determine z(-19). 36 Let d(h) = -2887*h + 251150. What is d(87)? -19 Let j(s) = 59*s**2 - 181*s + 382. Calculate j(6). 1420 Let b(a) = 2*a**3 - 534*a**2 - 5476*a + 614. Calculate b(-10). -26 Let u(y) = -3*y**3 - 33*y**2 + 32*y - 54. Calculate u(-12). -6 Let k(a) = 2180*a**2 - 898167*a + 2888. What is k(412)? 4 Let i(t) = -t**3 - 112*t**2 - 729*t + 629. What is i(-105)? -1 Let y(m) = -916*m + 78829. Calculate y(86). 53 Let p(h) = -3*h**2 + 4036*h - 51943. What is p(13)? 18 Let n(p) = 2078*p + 517435. What is n(-249)? 13 Let c(m) = -553*m + 169209. Determine c(306). -9 Let x(m) = -9874*m - 90501. Give x(-9). -1635 Let d(p) = -1474*p + 15785. Give d(11). -429 Let q(k) = k**3 + 17*k**2 - 88*k - 264. Calculate q(6). 36 Let g(b) = b**3 + 6*b**2 + 1283*b + 11803. Give g(-9). 13 Let y(n) = 6*n**2 + 1871*n + 21931. What is y(-12)? 343 Let d(l) = 540*l**3 - 2*l**2 + 11931*l - 11928. Determine d(1). 541 Let l(y) = -53612*y + 428884. Calculate l(8). -12 Let h(n) = 1810*n + 349293. Determine h(-193). -37 Let h(p) = -145738*p - 4663618. Give h(-32). -2 Let k(q) = 186*q + 2968. Determine k(-19). -566 Let a(t) = -1225380*t + 6126791. Determine a(5). -109 Let q(c) = 35*c**2 + 353*c - 987. Determine q(3). 387 Let q(k) = 6*k**2 - 615*k + 15350. Give q(43). -1 Let g(o) = o**3 - 27*o**2 + 133*o - 1377. What is g(20)? -1517 Let d(r) = -164*r**2 + 327*r + 984. Give d(-3). -1473 Let g(k) = 6*k**2 - 7239*k + 50712. What is g(7)? 333 Let j(s) = s**3 + 581*s**2 - 169121*s + 792. Determine j(-794). -2 Let h(l) = -25*l**3 - 115*l**2 - 2*l. Calculate h(-5). 260 Let c(a) = 13*a**2 - 354*a + 2228. Calculate c(10). -12 Let c(w) = 2*w**3 + 160*w**2 - 62*w - 4881. Determine c(-80). 79 Let q(h) = h**3 + 136*h**2 + 112*h + 94061. Determine q(-140). -19 Let c(q) = 10*q**3 + 1237*q**2 - 1626*q - 88. Calculate c(-125). 37 Let w(a) = 7*a**2 + 3271*a - 5630. Determine w(-469). -2 Let g(s) = -15*s**2 + 2497*s + 787410. Calculate g(327). -6 Let v(b) = b**3 - 4*b**2 + 5815*b - 46543. Calculate v(8). 233 Let r(z) = -1809*z - 19821. Calculate r(-10). -1731 Let v(f) = -1767*f + 9255. Give v(5). 420 Let q(k) = 615253*k + 16611840. Give q(-27). 9 Let v(h) = 25*h**3 + 241*h**2 + 1173*h + 3. Calculate v(-5). -2962 Let q(r) = -r**3 + 81*r**2 - 1091*r + 27131. Calculate q(71). 80 Let u(a) = 2*a**3 - 554*a**2 + 1553*a + 24732. Give u(274). -202 Let b(d) = d**2 - 2059*d + 10256. What is b(5)? -14 Let z(m) = -10448*m + 553931. Determine z(53). 187 Let o(t) = -10*t**2 + 65238*t - 130463. Calculate o(2). -27 Let l(h) = h**3 + 11*h**2 + 485*h + 5244. Determine l(-11). -91 Let f(d) = 5*d**2 + 2191*d + 61591. Calculate f(-408). -17 Let j(r) = 10*r**3 + 5*r**2 - 11186*r + 11185. Calculate j(1). 14 Let j(f) = -54*f**2 - 639*f + 176. What is j(-12)? 68 Let i(o) = 6886*o - 27635. Give i(4). -91 Let y(j) = 57021*j + 171100. What is y(-3)? 37 Let z(l) = -70*l**2 + 203*l + 10916. Determine z(14). 38 Let q(f) = -5*f**2 - 381*f - 4462. What is q(-14)? -108 Let h(q) = q**2 + 1874*q - 45490. Determine h(24). 62 Let q(x) = -29*x - 689. Calculate q(-61). 1080 Let t(r) = -1792*r + 21909. Give t(12). 405 Let l(v) = v**2 + 1406*v - 125563. What is l(84)? -403 Let x(u) = 18951*u + 909685. What is x(-48)? 37 Let g(s) = 765*s - 148329. Calculate g(194). 81 Let f(l) = l**2 - 2029*l + 159659. Give f(82). 5 Let z(m) = 4*m**2 + 159*m - 22. Calculate z(-41). 183 Let z(d) = d**2 - 115*d - 8894. Give z(-53). 10 Let n(c) = c**2 - 149*c. What is n(146)? -438 Let w(l) = -l**3 - 9*l**2 - 66*l + 1213. Give w(7). -33 Let o(g) = g**3 - 165*g**2 - 851*g + 196. Give o(170). 26 Let j(b) = -b**3 - 362*b**2 - 9*b - 3266. Determine j(-362). -8 Let z(g) = -g**3 - 98*g**2 - 2322*g - 586. Determine z(-58). -470 Let h(g) = 14362*g - 832984. What is h(58)? 12 Let l(k) = k**2 - 3565*k - 969939. Give l(-254). 87 Let f(a) = -27*a**3 + 23*a**2 - 7*a + 25. Calculate f(5). -2810 Let f(j) = -25397*j - 1955573. What is f(-77)? -4 Let f(q) = -q**3 + 325*q**2 + 2635*q - 232. Calculate f(-8). 0 Let g(k) = 9*k**2 - 193*k + 623. Calculate g(4). -5 Let p(b) = 2433*b**2 - 19461*b - 21. Give p(8). 3 Let k(j) = 2*j**2 + 389*j + 9949. What is k(-164)? -55 Let y(n) = -2012*n + 1166965. Give y(580). 5 Let d(l) = -980*l + 17947. What is d(18)? 307 Let y(d) = -1859*d**2 - 18636*d + 58. Calculate y(-10). 518 Let p(i) = -i**2 - 214*i + 16657. Determine p(58). 881 Let k(g) = -g**2 - 882*g - 6140. Determine k(-7). -15 Let z(w) = 2*w**2 - 130*w + 505. Determine z(43). -1387 Let s(a) = -7944*a + 7286. Calculate s(1). -658 Let v(w) = -26*w**2 - 1477*w + 9811. Give v(6). 13 Let m(l) = 1214*l + 17734. What is m(-15)? -476 Let v(s) = s**2 - 70*s - 1161. Calculate v(78). -537 Let z(m) = -1224*m + 744230. Give z(608). 38 Let l(h) = 521*h - 2179. Give l(4). -95 Let c(q) = -20723*q + 186474. Calculate c(9). -33 Let m(y) = -356*y - 10183. Calculate m(-27). -571 Let d(k) = -k**3 - 52*k**2 - 395*k + 1046. Determine d(-42). -4 Let m(j) = j**3 - 2895*j**2 + 28828*j + 205. What is m(10)? -15 Let p(a) = 3*a**3 - 174*a**2 - 375*a + 906. Give p(60). 6 Let x(o) = -16580*o + 232072. Give x(14). -48 Let y(k) = 312*k - 63049. Give y(202). -25 Let b(y) = y**2 - 56869*y + 10. Calculate b(0). 10 Let p(y) = -156*y - 4139. Give p(-28). 229 Let a(b) = -39*b**2 - 605*b + 3. Determine a(-9). 2289 Let n(u) = -u**3 + 357*u**2 - 5*u + 259535. Determine n(359). -22 Let f(z) = -11*z**2 - 152*z - 258. Calculate f(-11). 83 Let w(c) = 4*c**3 - 7*c**2 - 65*c - 22. Calculate w(-4). -130 Let b(y) = -468*y + 14899. Determine b(32). -77 Let p(a) = -89*a**2 + 1137*a + 259. Give p(13). -1 Let c(s) = 48*s**3 + 79*s**2 - 62*s - 64. What is c(-2)? -8 Let l(h) = 235391*h - 3060078. Determine l(13). 5 Let h(b) = 3*b**3 - 12*b**2 + 120*b - 292. What is h(3)? 41 Let b(h) = 6*h**3 - 120*h**2 - 7*h - 224. What is b(20)? -364 Let j(m) = -192*m**2 + 7857*m + 608. Determine j(41). -7 Let q(z) = z**2 + 316*z + 16988. Give q(-248). 124 Let x(j) = 5*j**3 + 235*j**2 - 97*j - 4524. Determine x(-47). 35 Let n(l) = -4790*l + 100565. Determine n(21). -25 Let d(c) = 92*c**3 + 5*c**2 - 12*c - 6. Calculate d(0). -6 Let n(r) = -3*r**3 - 93*r**2 - 713*r - 246. Calculate n(-18). -48 Let f(s) = -2221*s - 76271. What is f(-34)? -757 Let g(f) = 12*f**2 + 217*f + 192. What is g(-17)? -29 Let p(b) = -236207*b + 2598296. Calculate p(11). 19 Let i(r) = 15*r**2 + 593*r + 387. What is i(-39)? 75 Let c(v) = -1986*v + 77195. What is c(39)? -259 Let b(o) = o**3 - 17*o**2 + 9*o - 341. Give b(21). 1612 Let b(h) = h**3 + 41*h**2 - 383*h + 435. Give b(-49). -6 Let n(x) = x**3 + 40*x**2 + 729*x + 53408. Calculate n(-48). -16 Let l(b) = -b**3 - 61*b**2 + 138*b + 722. Give l(-63). -34 Let h(c) = 172*c - 18924. Calculate h(111). 168 Let g(b) = 295*b - 8451. Give g(29). 104 Let p(q) = -q**3 + 83*q**2 + 1953*q - 1535. Give p(102). -5 Let y(g) = g**3 + 2*g**2 + 11*g - 30. What is y(-10)? -940 Let r(p) = 3*p**3 - 9*p**2 + 81*p - 474. What is r(6)? 336 Let b(i) = 1096*i - 3158. Calculate b(3). 130 Let f(w) = 191*w + 83260. Calculate f(-436). -16 Let y(a) = -a**3 - 70*a**2 - 187*a - 6098. Calculate y(-69). 2044 Let r(y) = 311*y**2 - 56880*y - 6033. Give r(183). 6 Let g(o) = 164617*o + 2633906. Calculate g(-16). 34 Let r(b) = 41*b + 8316. What is r(-208)? -212 Let l(m) = 1406*m - 388054. What is l(276)? 2 Let b(l) = 8811*l - 54499. Calculate b(7). 7178 Let f(p) = 40*p**3 - 961*p**2 + 25*p - 158. Give f(24). -134 Let a(u) = 2*u**3 - 275*u**2 + 125*u + 1705. Calculate a(137). 61 Let o(t) = 2122*t + 655763. What i
{ "pile_set_name": "DM Mathematics" }
1/2 in 1, 2/9, p? 2/9 Let i = 9.9 - 10. Let v = -2 + 2.2. Which is the closest to i? (a) 0.1 (b) 4 (c) v a Let m = 22.1 + -24. Let f = 2 + m. Let s = 0.36 - 0.06. What is the nearest to f in 1/3, -1, s? s Let r = 3 + 0.2. Let b = r + -3. Suppose 0*j = 3*j. What is the nearest to 1/3 in 2/7, j, b? 2/7 Let k(z) = 4 - 1 - 6 + 3*z. Let p be k(2). Which is the closest to 5? (a) 0.4 (b) -1 (c) p c Let g = -5.46 - -0.46. What is the nearest to 2/7 in -11, -2/9, g? -2/9 Let o = 5.15 - -0.25. Let q = -0.4 + o. Let g = -1 + -1. What is the nearest to 1 in g, 1/4, q? 1/4 Let n = -5.8 - 1.2. Let o = -7 - n. Let l = -9/20 - -1/5. What is the nearest to o in 2, -0.1, l? -0.1 Let u be (-20)/(-6)*(-18)/(-10). Let s = 14 - 6. Let i = u - s. Which is the nearest to -1? (a) 2/5 (b) i (c) 1 b Let p = -71/28 + 16/7. Let g = 14.9 - 19.9. Which is the nearest to p? (a) 2/3 (b) g (c) 0.1 c Let g = -61/2 + 32. Let h be (-128)/(-252) + 4/(-14). Which is the closest to 0? (a) g (b) h (c) -3 b Let l be (1*6)/((-6)/4). Let d be 2/(-5) - (-2)/30. Let r = -1.6 - 0.4. What is the closest to -1 in r, d, l? d Let d = 5.13 + -4.7. Let h = d - 0.03. Let t be (8/54)/(6/(-9)). What is the nearest to -1 in t, 1, h? t Let j = 17.6 + -16. Let x = 0.4 + j. Which is the closest to -0.3? (a) -1 (b) x (c) -5 a Suppose 13*z - 12*z - 4 = 0. Let o be (12/2)/((-6)/4). What is the nearest to -1/3 in o, 3, z? 3 Let g(z) = -z**2 - 11*z - 29. Let m be g(-6). Which is the nearest to 1/11? (a) -0.2 (b) -4 (c) m a Suppose -12 = -0*v - 3*v. Let h be 130/15*(-18)/v. Let f = h - -116/3. Which is the nearest to f? (a) -0.2 (b) 3/4 (c) -0.4 c Let w = 63/2 + -31. Let z = 43.3 + -43. What is the closest to -1 in z, -2, w? -2 Let x be (39/(-91))/((-9)/(-6)). Let g = 2.7 + 0.3. What is the nearest to 0.2 in g, 4, x? x Suppose -2*w + 206 = 198. Which is the closest to w? (a) 1/3 (b) -3 (c) -0.4 a Suppose m - 5*z = -3, 7 = -m + 4*m + z. Let b be ((-3)/(-2) - 3)*m. What is the closest to 2 in -5, b, 0.4? 0.4 Let v be (-2 + 14/5)/1. Let d = 1 - 5. What is the closest to -1/4 in -3, v, d? v Let i(u) = u. Let m be i(-1). Suppose 9 = -z + 5*f, 2*f - 12 = -4*z - 2*f. Let j = 5/3 + -23/12. What is the closest to m in j, -5, z? j Let p be (2 + -1 - (-12)/(-9))/1. What is the nearest to 0.1 in -0.1, -2/11, p? -0.1 Suppose -7 = 5*c - 27. Let g = c + 3. Suppose -5*v + 5*r = -5, g*v + 3*r = 4*v + 21. What is the closest to 1 in 3, v, 2/9? 2/9 Let w = -5.6 + 5.8. Let z = 0.05 + 4.95. Let g = 2.8 + -3. Which is the nearest to w? (a) g (b) z (c) -1/6 c Let y = -0.97 + -0.85. Let x = y - 0.18. What is the closest to x in 5, -3, 1/4? -3 Let q = -2 - -1.5. Let a = 6 - 17/2. Let h be ((-13)/(13/(-8)))/(-2). What is the closest to 2 in a, q, h? q Let v = -135.6 + 136. Which is the nearest to -2/5? (a) -2 (b) v (c) -0.5 c Let v = -5 + -2. Let l = -5 - v. Which is the nearest to -1/4? (a) 4 (b) 5 (c) l c Let p = 19 + -35/2. Which is the closest to 0? (a) -1 (b) p (c) -0.2 c Let o be (-2)/(-4) + 152/(-240). Which is the closest to 0? (a) 4 (b) -3/5 (c) o c Let y = -7.2 + 6.9. What is the nearest to -7 in -4, -3, y? -4 Suppose 4*h = 3*h. Let n be -30*-3*(-6)/(-45). Suppose n = 4*p - p. What is the nearest to h in 0.4, 3, p? 0.4 Let f = -3 + 2.8. Suppose 0 = 6*k - 3*k + 6. Which is the nearest to -0.1? (a) f (b) -1 (c) k a Let c = -151 + 1357/9. Let h be (0 - (-21)/(-28))*(0 + 1). What is the nearest to -0.2 in h, -3, c? c Let z = 1 - 0.5. Which is the closest to 1/3? (a) 0.3 (b) 0 (c) z a Let d = 0.064 - -0.436. Which is the closest to 5? (a) d (b) 2/11 (c) 1/6 a Let a = 2 - 3. Let k = a - 4. What is the closest to 0 in k, -1, -3? -1 Let y = -0.151 + -0.049. Which is the nearest to y? (a) 3 (b) 2/17 (c) 5 b Let x = -213/211 + 50047/4220. Let t = x + -58/5. Which is the nearest to -2? (a) -0.3 (b) 3 (c) t c Let h = 46 - 47. Let g = -6 + 5.9. Which is the nearest to h? (a) -2/3 (b) 3/4 (c) g a Let s = 44.5 - 44. Let z = 5 - 2. Which is the nearest to z? (a) s (b) 2 (c) 1/7 b Let w = -0.519 + 0.019. Let v be ((-1)/18)/(1/2). Let m = 3.2 + -3. Which is the nearest to 1? (a) w (b) v (c) m c Let h = -1.3 + 0.8. Which is the nearest to 0.1? (a) 5 (b) h (c) 1/9 c Let g be (3 - 0 - 1)/(4 - 7). Which is the nearest to 3? (a) -1/2 (b) g (c) -5 a Let s = 0.44 - -0.56. What is the closest to s in 1/5, 3, -2/13? 1/5 Let m = 0.1 + -0.1. Let i = -3.0599 - -0.0599. Which is the nearest to i? (a) -0.3 (b) 0.3 (c) m a Let s(r) be the second derivative of -r**3/6 + 47*r**2/2 - r. Let w be s(0). Let m = 189/4 - w. Which is the closest to m? (a) -0.4 (b) -2 (c) 3 a Let y = -99 - -893/9. Which is the nearest to 1? (a) 5/6 (b) 8 (c) y a Let w = -14.2 - -16. Let x = w + -2. Suppose 0 = -3*f + 4*f. Which is the closest to f? (a) x (b) -2/7 (c) 2 a Suppose -p = -3*p. Let u = -14/11 + 61/22. Let v = 0 + -3. Which is the nearest to p? (a) 1/8 (b) v (c) u a Let k(t) = 3*t - 2. Let c be k(-2). Let w be ((-2)/(-12))/((-4)/c). What is the nearest to w in -2, -1, -0.2? -0.2 Suppose -3*b - 6 = -18, k + 3*b - 16 = 0. What is the closest to 2/9 in k, -5, 0.5? 0.5 Let r = 16 - 19. What is the closest to -1/2 in -3/5, r, -0.5? -0.5 Let v = 344/7 + -49. Which is the closest to -1/3? (a) v (b) 3 (c) -0.18 c Let f = 22 - 3. Let h = -19 + f. Which is the nearest to h? (a) 2 (b) -0.4 (c) -0.3 c Let c = -7.82 + -0.18. Let q = -8.5 - c. Let s = 0.04 + -0.34. What is the nearest to 0 in s, 1/4, q? 1/4 Let d be ((-2)/4)/(4 + -1). Suppose q - 9 + 12 = 0. Which is the nearest to -2/5? (a) -2/5 (b) q (c) d a Let t(c) = -c**3 + 5*c**2 - 6*c + 6. Let k be t(4). What is the nearest to -0.1 in k, 1, 5? 1 Let z = -0.3 + 0.3. Let g = -0.973 + -0.027. Let d be (-6)/8*2/3. Which is the nearest to g? (a) 0.5 (b) z (c) d c Let v = 0.14 + 0.06. Let n = 2 + 1.8. Let u = -0.2 - n. Which is the closest to 1/2? (a) v (b) u (c) 4 a Let n be ((-2)/(-4))/(15/(-25)). Suppose d = -0 + 4. Suppose -m = m + d. Which is the nearest to -1? (a) 0.4 (b) m (c) n c Let g = -22 - -13. Let z be (6/g)/((-12)/(-8)). Which is the nearest to 1? (a) -0.1 (b) -2 (c) z a Let r = -2.8 + -0.2. Let u = -14 + 8. Let g = r - u. What is the closest to 1 in g, -0.5, -5? -0.5 Let m = 55 + -55.1. Let x be (-4)/(-3) + (3 - 4). What is the nearest to x in m, -1/3, 4? m Let g = -0.6 - -0.6. Which is the nearest to g? (a) 1 (b) -1/6 (c) -4 b Let p = -1.2 - -0.8. What is the nearest to -0.3 in p, 0, -0.3? -0.3 Let l = -0.05 + -0.75. Let g = -1.8 - l. What is the closest to g in 0.1, 5, -2? -2 Let t = -57.6 - -58. Which is the nearest to 3? (a) 5 (b) t (c) -0.1 a Let f = 31 + -33.9. Let w = -3 - f. Let o be 23/(-55) + 15/25. Which is the nearest to w? (a) -1 (b) -2/5 (c) o c Let b = 6 - 6.1. What is the closest to 1/4 in b, 1, -8? b Let d = 4.1 - 4. Which is the closest to d? (a) -2 (b) 0.08 (c) 4/5 b Let n = -4 + 2. Let s = -0.1 - -0.2. Let d(z) = -z**3 + 7*z**2 + z - 10. Let o be d(7). Which is the closest to s? (a) -4/7 (b) n (c) o a Let n = 6 - 5.9. Which is the closest to n? (a) 0.4 (b) 3 (c) -0.5 a Let o = -6.1 - -6. Which is the closest to 0? (a) 0.2 (b) -0.4 (c) o c Let o(f) = f**2 + 19*f + 33. Let m be o(-17). What is the nearest to -0.1 in -4, m, 0? 0 Suppose 13*i = 18*i + 5. Let x be 1 - ((-6)/9 - i). Suppose 0*n = -2*n. What is the nearest to x in 1/5, -1/8, n? 1/5 Suppose -r + 13 = 3*h, 5*r = -4*h + 40 + 14. Suppose 3*v - 11 = m, -r - 4 = 4*m + 3*v. Let g be 0 + 1 + 6/(-10). What is the nearest to 0.2 in g, m, 1/3? 1/3 Let x = -93 - -93.02. What is the closest to -2/5 in -1/4, x, 2/15? -1/4 Let q = 0 + 1/4. Which is the closest to q? (a) 1/5 (b) 1 (c) 0 a Let o be ((-5)/10)/(1/(-2)). Which is the nearest to o? (a) -1 (b) -3 (c) 4 a Suppose -4*i + 3*p = -35, i - 3 = -9*p + 4*p. What is the nearest to i in -3, -5, 1/3? 1/3 Let j = 73 - 78. Which is the nearest to -0.1? (a) -3 (b) -0.1 (c) j b Let s be (-2 + (-21)/(-9))/((-3)/(-45)). Which is the closest to 1? (a) 4 (b) -4 (c) s a Let y = -5.06 + 0.06. Suppose -1 = -3*l + 14. Let i = -0.1 - 0.4. What is the nearest to -1 in l, y, i? i Let f = -3/4 + 1. Which is the closest to f? (a) 1 (b) 3 (c) -1/6 c Let v = -0.094 + -0.006. Wh
{ "pile_set_name": "DM Mathematics" }
584, -5567583, -5567582? -5567581 What is the next term in -35209, -37119, -39027, -40933, -42837, -44739, -46639? -48537 What comes next: 152671629, 305343256, 458014883? 610686510 What comes next: 1456468, 1456977, 1457826, 1459015, 1460544, 1462413, 1464622? 1467171 What is next in 227, 76, -791, -2878, -6689, -12728, -21499, -33506? -49253 What is next in 19790, 78515, 176384, 313391, 489530, 704795? 959180 What comes next: 557561, 557491, 557421, 557351? 557281 What is the next term in 62744532, 62744528, 62744524, 62744520? 62744516 What is next in -30722, -32012, -33302, -34592? -35882 What comes next: -75975, -303924, -683837, -1215714, -1899555, -2735360? -3723129 What is the next term in -1503076, -6012365, -13527862, -24049567, -37577480, -54111601? -73651930 What comes next: -2854246, -2854237, -2854216, -2854177, -2854114, -2854021, -2853892, -2853721? -2853502 What comes next: -104914, -102748, -99130, -94054, -87514, -79504, -70018, -59050? -46594 What comes next: -4677925, -9355844, -14033763, -18711682, -23389601? -28067520 What is next in -1110194, -4440699, -9991546, -17762741, -27754290? -39966199 What comes next: 5682, 7600, 9518, 11436, 13354? 15272 What is next in 20580500, 41160996, 61741486, 82321970? 102902448 What comes next: 179049338, 179049340, 179049342? 179049344 What comes next: 304454, 304518, 304582, 304646, 304710, 304774? 304838 What is next in -20599, -41125, -61653, -82183, -102715, -123249, -143785? -164323 What is the next term in 28446, 56847, 85250, 113655, 142062, 170471, 198882? 227295 What is next in -517311752, -1034623506, -1551935260, -2069247014, -2586558768? -3103870522 What is next in -1125, -5371, -9617, -13863, -18109, -22355? -26601 What is next in -3006668, -3006665, -3006662, -3006659, -3006656? -3006653 What is next in 11122, 22260, 33422, 44614, 55842, 67112? 78430 What is the next term in 5492, 5458, 5424, 5390, 5356? 5322 What comes next: -4285854148, -4285854149, -4285854150, -4285854151, -4285854152, -4285854153? -4285854154 What is next in 94635662, 94635659, 94635656? 94635653 What is the next term in -1193, -2439, -3693, -4961, -6249? -7563 What is next in -1338690, -1338593, -1338496, -1338399, -1338302, -1338205? -1338108 What is the next term in 1201, 1062, 923, 784? 645 What is the next term in 18216125, 36432249, 54648373, 72864497? 91080621 What comes next: -642838, -1285684, -1928530, -2571376? -3214222 What is the next term in -326, -600, -826, -1028, -1230, -1456, -1730, -2076? -2518 What comes next: 17395, 17386, 17371, 17350, 17323, 17290? 17251 What comes next: 66090, 65702, 65332, 64974, 64622? 64270 What comes next: -6627, -26826, -60505, -107664, -168303, -242422? -330021 What comes next: 2049348, 2049401, 2049468, 2049555, 2049668, 2049813? 2049996 What is the next term in -1886961, -3773924, -5660887, -7547850, -9434813, -11321776? -13208739 What is the next term in -170, -181, -248, -407, -694? -1145 What is the next term in -8340, -65838, -221830, -525564, -1026288, -1773250, -2815698? -4202880 What is the next term in 141, 988, 2759, 5748, 10249, 16556? 24963 What comes next: 353, 5385, 19315, 46679, 92013, 159853? 254735 What is the next term in 66141, 132265, 198377, 264471, 330541, 396581, 462585, 528547? 594461 What is next in 45977, 45997, 46017, 46037, 46057, 46077? 46097 What is next in 95707528, 191415057, 287122586, 382830115, 478537644? 574245173 What comes next: 132071, 132059, 132027, 131963, 131855? 131691 What comes next: 14393, 16130, 17867, 19604, 21341? 23078 What is the next term in 114289, 114486, 114813, 115270, 115857, 116574? 117421 What is the next term in 9958, 2085, -11038, -29411? -53034 What is the next term in 8549, 18163, 27777, 37391, 47005, 56619? 66233 What is the next term in 50178915, 50178917, 50178921, 50178927, 50178935? 50178945 What is the next term in -124522, -248166, -371810, -495454, -619098, -742742? -866386 What is the next term in -902, -1802, -2628, -3380? -4058 What is the next term in -21155, -42406, -63803, -85418, -107323, -129590? -152291 What is next in -4064153, -8128335, -12192517? -16256699 What comes next: -19142, -76462, -171936, -305564, -477346, -687282? -935372 What is the next term in 52929, 105885, 158869, 211881, 264921, 317989, 371085? 424209 What comes next: -3178, -12765, -28784, -51271, -80262, -115793? -157900 What is the next term in -17375, -35046, -52715, -70382? -88047 What comes next: -23204, -46157, -69128, -92123, -115148, -138209? -161312 What comes next: 235, 655, 1333, 2299, 3583, 5215? 7225 What is next in 1742892, 6971509, 15685868, 27885969? 43571812 What is the next term in -615357, -612911, -610465? -608019 What is the next term in 119, -714, -3467, -9100, -18573, -32846, -52879? -79632 What is the next term in 69241069, 138482137, 207723205? 276964273 What is the next term in 1062, 1037, 974, 855, 662? 377 What is the next term in 1135, 2145, 3155? 4165 What is the next term in 43852, 175211, 394072, 700429, 1094276? 1575607 What comes next: -342843, -685532, -1028221, -1370910, -1713599, -2056288? -2398977 What is next in -18702, -18618, -18402, -17988, -17310, -16302, -14898? -13032 What is the next term in 15356062, 15356061, 15356060, 15356059, 15356058, 15356057? 15356056 What comes next: -2566, -3039, -3516, -3997, -4482? -4971 What comes next: 326961, 327109, 327257, 327405, 327553? 327701 What is the next term in 311356, 622768, 934168, 1245550, 1556908, 1868236, 2179528? 2490778 What is next in 151128, 152404, 153680, 154956, 156232? 157508 What is next in -709021, -1418036, -2127051, -2836066, -3545081, -4254096? -4963111 What is the next term in -39, -2, 25, 42, 49? 46 What comes next: 7478116, 14956238, 22434358, 29912476, 37390592? 44868706 What comes next: -32649, -63793, -94937, -126081? -157225 What is the next term in -856620, -1713234, -2569848, -3426462, -4283076? -5139690 What comes next: 156896089, 156896088, 156896087, 156896086? 156896085 What is the next term in 5851709, 11703394, 17555079, 23406764? 29258449 What is next in 1672, 3512, 5444, 7468, 9584, 11792? 14092 What comes next: -12315, -12207, -12083, -11943, -11787, -11615, -11427? -11223 What is next in -208115, -415496, -622891, -830306, -1037747, -1245220, -1452731, -1660286? -1867891 What comes next: 16538, 33000, 49386, 65696, 81930? 98088 What is the next term in 387733, 386887, 386061, 385261, 384493, 383763, 383077, 382441? 381861 What is the next term in -402, -202, 276, 1152, 2546? 4578 What is the next term in 2272915, 4545797, 6818679? 9091561 What comes next: 295243, 295441, 295639, 295837? 296035 What is next in 345, 11, -365, -813, -1363, -2045, -2889, -3925? -5183 What comes next: -178620, -714709, -1608190, -2859063, -4467328, -6432985? -8756034 What is the next term in 1351042, 1351049, 1351068, 1351105, 1351166, 1351257, 1351384, 1351553? 1351770 What is the next term in -213785, -427564, -641339, -855110, -1068877, -1282640, -1496399? -1710154 What is next in 9312, 9361, 9406, 9447, 9484, 9517? 9546 What comes next: -97, -1107, -4123, -10231, -20517, -36067? -57967 What is the next term in -25730, -25763, -25794, -25823, -25850, -25875? -25898 What is the next term in 5474, 11278, 17112, 22982, 28894, 34854? 40868 What is next in 203428, 204091, 204754, 205417, 206080? 206743 What is the next term in -38162, -76282, -114372, -152432, -190462? -228462 What is the next term in 279104, 1116481, 2512114, 4466003, 6978148? 10048549 What comes next: 108138, 216143, 324018, 431769, 539402, 646923, 754338, 861653? 968874 What is the next term in 14858364, 29716649, 44574934, 59433219, 74291504? 89149789 What is the next term in -304, -1862, -5956, -13810, -26648, -45694, -72172, -107306? -152320 What is next in 16216, 21720, 27224, 32728? 38232 What is the next term in -24198, -47876, -70452, -91374, -110090, -126048, -138696? -147482 What comes next: 8087, 9082, 10105, 11168, 12283? 13462 What is next in 1522789, 1522498, 1522019, 1521358, 1520521, 1519514, 1518343? 1517014 What is the next term in 4158, 8534, 13138, 17964, 23006, 28258? 33714 What is next in -500801, -1001261, -1501721, -2002181, -2502641, -3003101? -3503561 What is the next term in 16181525, 32363056, 4854459
{ "pile_set_name": "DM Mathematics" }
= -28/79 + -1807/474. Let s(r) = -r**3 - 5*r**2 + r + 2. Let z be s(-5). What is the common denominator of p and 2/z*4 - -2? 6 Let h = 2184 + -8657/4. What is the common denominator of h and 97/20? 20 Let n be (0 + -1)*439/(-2). Let o = n + -195. Let s = 2119/1060 + 114/53. What is the common denominator of o and s? 20 Suppose 0 = -h - 0*h + 2. Calculate the common denominator of -1/4 and (4 - -1)*h*-5. 4 Suppose -3*k - 3*m - 24 = 0, -2*k = -3*m - 0*m + 16. What is the common denominator of 4/14 + 148/(-224) and 62/k*2/(-3)? 24 Suppose 3*l = 2*p + 23, -2*p - 34 = -4*l - 0*l. What is the least common multiple of l and 3? 33 Let h be (-1)/((-2)/(6 - -2)). Suppose -3*y = 2*y + 25, -2*g + 32 = -h*y. Let z = 26 - 14. What is the least common multiple of g and z? 12 Suppose -z + 10 = 2*r, 0 = -r + 3*r + 2. What is the common denominator of ((-14)/(-48))/(2/30) and z/11 + -3 - -1? 88 Let l = 8881/7 - 1261. Calculate the common denominator of 77/39 and l. 273 Let v = 16876/7 + -2416. Find the common denominator of v and -1 + (-109)/8 + 2. 56 Suppose 3*u + 3*o = o + 63, -5*o + 42 = 2*u. Let l be (-3)/(1 - 4) + u. Let p = 44 - l. Calculate the lowest common multiple of 4 and p. 44 What is the common denominator of (-2)/(-3) - 271/24 and 51/4? 8 Suppose -2*y + 7*y - 35 = 0. Let p = 50 - 49. Calculate the least common multiple of y and p. 7 Let d = 83 - 4. Let x = 479/6 - d. Calculate the common denominator of -68/9 and x. 18 Let y = -1167 + -128. Let t = -98 + 1403/14. What is the common denominator of t and y/(-200) - (-2)/5? 56 Suppose 5*i + 3*g + 20 = 0, -g - 2*g - 19 = 4*i. Let m = i - -13. What is the lowest common multiple of 16 and m? 48 Suppose 7*u = 4*u + 42. Let o(m) = m**2 + 5*m - 6. Let q be o(-6). Suppose l = -q*l + u. What is the least common multiple of 22 and l? 154 Suppose -2*j - j - 30 = 0. What is the common denominator of 69/8 and (9 + -58)*(-2)/j? 40 Suppose -p = -2*p + 12. Let u = -221 - -237. Calculate the smallest common multiple of p and u. 48 Suppose 2*j + j = 12. Let v(f) = f + 3. What is the lowest common multiple of v(j) and 3? 21 Calculate the common denominator of 50 and 0 + 134*(-3)/90. 15 What is the common denominator of 3/2 + 62/(-10) and 86/(-6)*(-9)/(-33)? 110 Suppose -2*y - 16 = 5*a, a + 3*a - 4*y = -24. Find the common denominator of (-77)/a + 2 + 2 and 356/(-72) - (0 + 1)*-2. 36 Let b be ((-24)/(-2565))/(8/(-20)). Let v = b - 5293/342. What is the common denominator of v and -1/4? 4 Let r be (3508/3)/(4/222). Let l be r/227192 - 4/14. Let c = l - -624783/81140. Calculate the common denominator of c and -1/2. 10 Let q = -5 + 3. Calculate the common denominator of 26/q - 2/3 and 66/8 + 1 - (1 - -1). 12 Suppose -108 = -4*y + 284. Calculate the common denominator of (y/(-72))/(1/2) and (-2)/(-15)*(-267)/4. 90 Calculate the common denominator of 115/14 and (-10)/8*3/((-15)/(-19)). 28 Suppose o - 14 = q + 3*q, -o + 18 = -3*q. Find the common denominator of o and 9/11. 11 What is the common denominator of 2/(-1) + (-154)/(-18) + -3 and -17/2? 18 Suppose -3028 = -2*h + 6778. Let q = -39313/8 + h. Find the common denominator of -15/4 and q. 8 Let n be -3*(2/(-1))/2. Let h be (6/160)/n*-514. Let z = h + 117/8. What is the common denominator of z and -47/9? 45 Calculate the common denominator of -1 + (-177)/12 + 2 and ((-21)/252)/(10/(-522)). 20 Suppose -20 - 10 = -5*z. Let q be (2 + -1)*4*-1. Calculate the least common multiple of (-8)/6*6/q and z. 6 Let v = 23 + -19. Let d = 10 - 3. Calculate the smallest common multiple of v and d. 28 Suppose -4*d = -8*d. Suppose 9 = 5*s + 4*m - d, -2*s = 5*m + 10. Suppose s*t - t - 8 = 0. What is the lowest common multiple of 2 and t? 2 Suppose 3*r - 4*j + 30 = 0, -4*r - 27 = -2*r - 5*j. Let d(y) = -y - 5. Let w be d(r). What is the common denominator of 11/12 and w - 4/(72/(-103))? 36 What is the common denominator of -61/12 and (-6)/(-10) - 615/100? 60 What is the common denominator of ((-85)/(-10) - 0)*-1 and 89/18? 18 Calculate the common denominator of 0 - 879/108 - 1/(-4) and 19/21. 63 Suppose -5*d + 1973 = 218. Let r = 37/6 - -7/6. What is the common denominator of r and d/(-15) - 6/10? 3 Let l be -1 + 0 - 9/(-3). What is the least common multiple of (-342)/(-21) + (-4)/14 and (-50)/15*(-1 - l)? 80 Suppose 3*v - o - 5 = 2, -v = -4*o - 6. Suppose -4*h = -v*h + 2. Calculate the common denominator of -5/18 and (-35)/(-30) - h/3. 18 Let m = 2053/364 + 10/91. Find the common denominator of -57/10 and m. 20 Let p = 16 + 24. What is the least common multiple of 32 and p? 160 Suppose -3*j = 2*j - 1280. What is the lowest common multiple of j/40 - (-2)/(-5) and 16? 48 Suppose 0 = 3*j + 3*w - 69, 3*j = j - 5*w + 55. Find the common denominator of -1/8 and 8/j + 623/30. 24 Let j(g) = g**3 - g**2 - g - 1. Let r(s) = -4*s**3 + 6*s**2 + 8*s + 3. Let m(d) = 3*j(d) + r(d). Calculate the lowest common multiple of m(4) and 2. 4 Let u = -8 + 10. Suppose 0 = 5*h - h - 20. Calculate the smallest common multiple of u and h. 10 Let d be (-2)/(3 + 92/(-28)). Let s(g) = g**2 - 6*g + 3. What is the lowest common multiple of 18 and s(d)? 90 Let r(i) be the first derivative of i**2/2 + 6*i - 3. Let w = 507/8 - 231/8. Find the common denominator of w and r(9). 2 Let a = -1 - -4. Suppose -a*z = -z + 12. Find the common denominator of 3 + 70/88*z and 89/10. 110 Let l = 78 - 393/5. Let q = 47 + -23. What is the common denominator of (6/(-10))/(q/135) and l? 40 Suppose 0 = i + 5*v - 6, -2*i = -v + 3*v - 4. What is the least common multiple of 103 and i? 103 Suppose 13 = -4*h - 15. Let r = h - -14. Let a(i) = -i**3 + 8*i**2 - 3*i - 6. What is the lowest common multiple of 6 and a(r)? 66 Suppose 3*z + 69 = -0*z. Suppose -2*k - 31 = -4*f - 3, 0 = -4*k - 2*f - 66. Let j = k - z. Calculate the lowest common multiple of j and 10. 70 Suppose -52 = 4*u - 6*u + 5*h, u - 2*h - 25 = 0. Calculate the smallest common multiple of 6 and u. 42 Let s(u) = -u**3 + 2*u**2 + 3*u + 4. Let m be s(3). Suppose 3*f + 2*z = 2, -m*f = -0*z - 3*z - 31. What is the smallest common multiple of 5/3 - (-4)/12 and f? 4 Let x = 3257 - 136733/42. Calculate the common denominator of 49/10 and x. 210 Let m be (-25762)/(-12) + (-1)/(-6). Let r = 3673 - m. What is the common denominator of 51/2 and ((-2)/48)/((-7)/r)? 12 Let v = 10 - 8. What is the smallest common multiple of v and 4? 4 Suppose -5*y - 8 = -48. What is the least common multiple of y and (-1220)/(-180) + (-4)/(-18)? 56 Find the common denominator of (-8)/(-2) + (-852)/24 and 53/86. 86 Suppose -37 = -6*m + 11. Calculate the lowest common multiple of m and 10. 40 Calculate the common denominator of -47/32 and 42/((-130)/(-45) - 4/18). 32 Let g be (0 + -2)*15/2. Let m = 31 + g. What is the smallest common multiple of 10 and m? 80 Let o be -25*-3*18/(-5). Calculate the common denominator of (-3)/(-6)*219/(-6) and (-2019)/o + (-4)/(-18). 20 Suppose 2*v = 0, 4*h = 3*v + 9 + 11. Suppose h*d = -3*n - 7, n - 4*d = -0*n + 9. Calculate the least common multiple of 1/(2/18) + n and 1. 10 Let d(z) = 2*z**2 + 13*z - 15. What is the least common multiple of d(-8) and 4? 36 Let m be (1 - (-3)/(-2))*10. Let d = -2 - m. Calculate the smallest common multiple of d and 11. 33 Suppose -3*w + 12 = d - 2*w, -15 = -2*d - 5*w. What is the smallest common multiple of 30 and d? 30 Let n = -6 + 6. Suppose b + 40 = -n*b. Calculate the common denominator of b and 3/5. 5 Let q = -4/347 - 23237/1041. Find the common denominator of (-2)/(-3) + (-311)/12 and q. 12 Find the common denominator of -2 - (-805)/30 - 2/6 and -26/5. 10 Let f(a) = -28327*a. Let k be f(-3). Let w be (6/12)/((-7)/k). Let r = -6075 - w. Calculate the common denominator of -107/14 and r. 14 Suppose 2*l = 5*b + 7*l + 10, -4*b + 4*l - 24 = 0. Let d = 0 - b. What is the lowest common multiple of (-1)/(-2) - (-44)/8 and d? 12 Let s = 24262504979/4332 + -5600763. Let m = s + -2/361. What is the common denominator of (-138)/(-40) - (-3)/(-6) and m? 60 Let b(z) = z**2 + 5*z + 3. Let k(x) = x**3 + 8*x**2 + 8*x + 3. Let j be k(-7). Let g = 6 + j. Calculate the lowest common multiple of g and b(-6). 18 What is the common denominator of -15/8 and ((-84)/(-98))/(4/(-77))? 8 Let y be 1/(-4) - (-3604)/22960. Let c = -2/287 + y. Find the common denominator o
{ "pile_set_name": "DM Mathematics" }
8 Evaluate (-129 - -67) + -15 - (0 + 30). -107 Evaluate -17 - ((50 - 39) + 13 - 99). 58 What is -15 + (17 - 14) + 5 + 56? 49 What is 67 - (21 - (-39 - -13))? 20 Calculate -44 - (-35 + -18 - -25) - -57. 41 -20 - (1437 + -1438 + (53 - 0)) -72 What is the value of 19 - (-12 - (-10 + -49 - 15))? -43 What is the value of (-76 - -2) + (164 - 128)? -38 Evaluate ((7 - 3) + -11 - -12) + 21. 26 7 - 10 - -28 - (-735 - -776) -16 78 - (110 - 97) - 105 -40 Evaluate -187 - (-228 + (-10 - -152)). -101 2 + (-7 - (3 + -2 + 26 + -14)) -18 What is 48 - 0 - (-73 + 5 + 48)? 68 Calculate -23 + 8 + -10 + 17 + -24. -32 What is the value of 3 + 44 + -7 + 2 + -5? 37 What is -94 + 175 + -26 + -16? 39 Evaluate 3 + 63 + -76 + -64 + 118 + 20. 64 Evaluate -3 + 19 + (-29 - ((-4 - -6) + 1)). -16 What is the value of 2 + 8 + (-1 - 12) + 0 + 21? 18 What is the value of -2653 + 2671 - (0 - 31)? 49 0 + 59 + -2 - (-22 + -7 + (28 - 8)) 66 What is 114 - 67 - (11 + (23 - 8))? 21 What is (-2 - 3) + (-48 - (43 + -58))? -38 What is -20 + -29 + (122 + -21 - 26)? 26 Calculate 4 + 0 + (7 - (-1 + -27 - -3)). 36 Evaluate 1419 - 1470 - (0 + -39) - (-64 + -2). 54 -47 + 9 + 10 + -33 -61 8 + (-3 - -5) - ((50 - (-13 - -19)) + 22) -56 Evaluate 3 + 5 - (-12 + (59 - 7) + -15). -17 What is the value of (81 - -126 - 274) + (6 - 0)? -61 Calculate 3 - (43 + -3 + (-43 - (-7 - 32))). -33 What is the value of -34 - (-42 - (11 + -73))? -54 What is 17 + 7 - (-261 + 255) - (14 + 1)? 15 Evaluate -48 + (-25 - (-2 - -33)) - 40. -144 Evaluate -55 - 1 - (12372 - 12425). -3 What is (-11 - 19) + (-2 - -2 - 3 - (-22 - -14))? -25 Evaluate 51 + 6 + 7 + -71. -7 5 - -108 - 87 - (21 - -2) 3 What is the value of (-84 + -23 - -17) + 3 + (0 + -1 - 4)? -92 Evaluate -4 + (11 - (9 - 0)) + -7 + -86 + -1. -96 What is 238 - (-24 + 126) - 82? 54 Calculate 26 + (3 + (-8 - -10) - -8 - 4). 35 What is -28 - (-97 - (-19 + -3))? 47 What is the value of -9 + (-13 + -10 - -8) + 1 + 47? 24 What is 27 + -9 + 21 - (-5 + 11 + -7)? 40 Calculate -2 - 6 - (24 - (23 - ((8 - -13) + -35))). 5 Calculate 2 + 1 + 16 - (1531 + -1423). -89 8 - (88 - 4) - (17 + -18 + 15) -90 What is 23 - ((30 - 17) + (5 - -3) - (5 - -5))? 12 What is the value of 2 + (6 - 10 - ((11 - 17) + -65))? 69 Calculate -4 + (-23 - (24 + -16 - (-13 - -30))). -18 Calculate 8 - (5 + (-26 - -16 - -8)). 5 What is the value of -71 + -46 + (8 + -10 + (-2 - -1) - 1)? -121 -10 + (2 - (4 - (-11 + 10) - 8)) -5 Evaluate -1 + -42 + 1 - (-7872 - -7881). -51 82 - (-6 + 18 + 8 + -22 - (-2 - -5)) 87 Evaluate (1 - 3) + 80 + -50 + -10. 18 Calculate -227 + 224 - (-46 - -8). 35 Calculate 10 - 20 - 1 - (13 + -26). 2 (1 - 8 - (-60 - -58)) + 124 + (-1 - 0) 118 -7 + 3 + -12 + (192 - (136 + -26)) 66 Calculate 0 + 6 + -2 - ((-18 - -10) + 18) - -21. 15 -18 - (-4 + (25 - (-1 + 20))) -20 What is -65 + 58 + 0 + 4 - (-25 + 1 + -4)? 25 Calculate 1 + 1 + -4 - (1 - (27 - 4 - 71)). -51 What is (0 - -12) + 946 + -969 + 28 + 2? 19 What is 2 + 112 - (-4 + (-11 - (16 + 5 + -37)))? 113 What is 145 + -133 - (4 + -4 + 7 + -16)? 21 What is (7 - 14) + -6 - (-3 + (-2 - -11))? -19 What is (39081 - 39073) + -1 + -83 + (0 - 0)? -76 What is (0 - -83) + (-1382 - -1337)? 38 Calculate 7 + -35 + (-4 - (-2 - 13)). -17 What is -98 + -10 + 50 + 9? -49 Evaluate (-29 - -58) + -6 + -7 + -3. 13 (3 + -7 - (5 + -9 + 2)) + -39 + -6 -47 Calculate 3 - -3 - (38 + 3) - (1 + 13). -49 What is the value of ((19 - 41) + 23 - 3) + -42? -44 What is the value of (-1 - (-48 + -2)) + (57 - 119 - -58) - 8? 37 Evaluate -17 + 60 + -94 + 13. -38 What is the value of 10 + (-47 - (16 - (-11 - (2 + -27))))? -39 What is 55 + -103 + -58 - -48? -58 What is the value of 26 + 2 - 4 - ((18 - -12) + -12 + -16)? 22 What is the value of -4 + 5 + 2 - (-17 - (-33 - -22))? 9 -1644 - -1646 - (-2 + (-1 - -33 - 0)) -28 107 + (16 + (19 - 16 - 16) - (3 + -7)) 114 743 + -761 + -1 + 8 - -6 -5 What is (31 - (-21 + 15) - 10) + -147? -120 What is the value of (-798 - -812) + (-2 - (48 + 3))? -39 What is -72 - (48 + -59 + -20)? -41 Evaluate (-82 + -1 - (16 - 25) - (-26 - -28)) + -1. -77 What is -78 + 78 - ((22 + -9 - 137) + 1)? 123 Evaluate -10 - (-38 - (-26 - -1) - 50). 53 Evaluate (-29 - -2) + -14 + 15. -26 Calculate 572 + -601 + 6 + -10 + 81. 48 What is the value of 1 + (-12 - -8 - 14) + -14? -31 -1082 + 1102 + -70 + (3 - 2) -49 Calculate (-19 - -2 - -92) + (5 - 10) + 1 + -2. 69 87 - -1 - (4108 + -4058) 38 Evaluate -57 + -8 + 22 + 23. -20 What is (-2 - 8) + (20 - 10) + (-25 - -2) + -4? -27 -51 - 1 - (262 - 123 - 174) -17 What is 2 - -18 - ((80 - -1) + -576 + 604)? -89 What is the value of (-9 + 5 - -62) + 45 + -44? 59 (-3 - -2) + 0 + -26 + 83 56 Calculate 14 + -7 + -16 + -6 - (4 - 18). -1 What is the value of -15 - (121 + -46 - 32)? -58 35 + -68 - -6 - -4 -23 What is the value of 81 - (-3 + 223) - -59? -80 Calculate 333 + -329 - (-5 - (4 - -34) - -1). 46 Evaluate (20 + -69 - -20) + (1 - -52). 24 What is the value of -116 + -7 + (-86 - (-15 - 96))? -98 Calculate 10 + (-2 - 3) - (-3 + -21 - 89). 118 Evaluate 7 + (-36 - -23) - (-6 - 35). 35 Calculate -4314 - -4324 - (8 - (0 - -1)). 3 What is (4 - (25 + -50)) + -21 - -146? 154 -15 + (1 - 15) + (19 + 41 - 12) 19 Calculate -146 + 176 - ((-7 - -2) + -8). 43 Evaluate 4 + (-6 - ((7 - -2) + -11)) + 10. 10 What is the value of (51 - 58) + (7 - 6) - 43? -49 (-9 - -14) + 8 + (1 - -4) + 74 + -1 91 What is -93 + 91 - (10 + -13 + (-2 - (0 - 11)))? -8 Evaluate (-30 - 3 - -14 - -3) + -35 + -1. -52 What is the value of (-4 - -7) + 1 + (-6 - 2) + -14? -18 What is (-2 - 21) + (-746 - -701)? -68 Calculate -1434 + 1428 + (-9 + (10 - (1 + 4)) - 23). -33 What is the value of -3 + 25 - 17 - (-25 - -87)? -57 Calculate 0 - -1 - (21 - 14) - (-2 - -48). -52 -1 - ((-14 - -47 - 19) + -30 - 63) 78 Calculate 20 + -127 + 182 + -2 + -39. 34 0 - 40 - (12 - 64 - (72 - 101)) -17 What is the value of (-12 - (-22 + (30 - 16) + 11)) + -22? -37 What is (7 - (30 - (17 + 0))) + -24? -30 -149 - ((20 - 0 - 29) + 0 + -1 - -7) -146 Evaluate (-14 - (-9 + 9)) + 3 + (17 - -46). 52 Evaluate -48 + (58 - 7) + 32. 35 What is the value of 113 + -94 - 49 - -115? 85 Evaluate -1 - ((-1 - 8) + 2) - (4352 - 4306). -40 What is (100 - 4) + (1287 - 1376)? 7 What is -32 + (12 - -9) + 36 + -49? -24 Calculate (-27251 - -27371) + (-73 - 1). 46 Calculate 107 + -102 + 6 + 10. 21 What is the value of 104 - (48 + (-20 - 3) - 24)? 103 Evaluate (-36 - -42 - (7 - 1)) + 6 + -5 - 59. -58 What is (-10 - -25) + (16 - (-3 + 14))? 20 (711 - 718 - (-4 - -1)) + 60 + -16 40 What is (11 - -1 - ((6 - -9) + -7)) + -49? -45 Evaluate 6 - (21 + -8) - (-49 + 40 + 19). -17 Evaluate 15 - (-226 + 260 - (1 + 19)). 1 -14 - -126 - (-33 + 97) 48 Evaluate (-8 - (-57 + 52)) + (-3 - (1 + -13)). 6 38 + -44 + -8 + -22 -36 -79 + -3 + 1 + (-22 - -32) + 9 -62 What is the value of -7 - 2 - (-13 + -10 + (67 - 79))? 26 Calculate (6 - (-2 + -12 + 23)) + -3 + -9. -15 What is the value of 72 - 59 - 6 - (-1 + (50 - -2))? -44 What is (0 - (3 + (-5 - 14)) - -11) + -2? 25 Calculate -13 + 43 - -24 - (13 + -4 + 1). 44 What is the value of (30 - 4 - -40) + -38? 28 What is the value of -26 + 16 + (-6 - (-8 - 4)) + -62? -66 What is the value of 69 - 20 - 13 - 39? -3 What is the value of -36 + 4 - (-8 - (-22 - -7) - 22)? -17 What is the value of 4 + (12 - 16 - -4) - 58? -54 Evaluate 8 + (0 - 10 - 80). -82 What is 28 - (-3 + -4 - (82 + -67))? 50 What is 42 - (18 - (0 - -9))? 33 -39 - ((37 - 73 - 110) + -38) 145 What is (97 - (-63 - -138)) + 7 + -1? 28 Calculate -26 + 39 - (67 - 29). -25 What is the value of (-4 - 2) + -23 + 32 - (0 - 2 - 3)? 8 Calculate 167 + -83 + -33 + (-4 - -14). 61 Evaluate 144 - (19 - (-63 - 0)). 62 Evaluate -19 - (7 + -15) - (-64 - -5). 48 Calculate (52 + -22 - 8) + -6 + -29. -13 What is the value of -7 + (2 + 1 - ((23 - 16) + -69))? 58 What is the value of 0 + 131 - (18831 + -18741)? 41 What is (-13 + -20 + 52 - 10) + (1 - 2 - 0)? 8 Evaluate (4 + -1 + -3 - 5) + (7 - (-10 - -26)). -14 What is the value of 130 + (-39 - -23 - (62 - 36))? 88 -133 - (-308 - -140 - -104) -69 Evaluate (-50 - (-100 - -38) - (1 - -82)) + (0 - -10). -61 What is 3 + -2 - (1 - 1) - (-1645 + 1629) - -14? 31 What is the value of 0 + (15 - (41 - 18) - -27)? 19 What is the value of 21 + -2 + 56 + -72? 3 (-41 - (2 - (1 - -2))) + (-221 - -308) + -97 -50 Calculate
{ "pile_set_name": "DM Mathematics" }
154*c**2 + 35*c. Let t(q) = -90*q**2 + 0*q + 2*q + 81*q**2. Suppose 35*o - 22*o + 455 = 0. Calculate o*t(g) + 2*u(g). 7*g**2 Let p = 14 - 12. Let o(f) = 2*f + 0*f - 9*f**p + f**2. Let c be o(1). Let g(b) = -5*b**2 + 7*b. Let v(y) = 2*y**2 - 3*y. Determine c*g(l) - 14*v(l). 2*l**2 Let s(t) = t + 5. Let g(v) = 3*v - 22. Let w(f) = 2*f - 11. Let c(b) = 4*g(b) - 7*w(b). Let q(l) = 50*l - 4504. Let x be q(90). Determine x*c(k) - 10*s(k). -2*k - 6 Let a(j) = 307*j**3 - 11*j**2 - 6*j. Let h(c) = 2*c**3 + 2*c**2 + c. What is -a(b) - 6*h(b)? -319*b**3 - b**2 Let k(h) = -3*h. Suppose -51 = -3*d + 114. Suppose 0 = -3*n - 8*n + d. Let m(c) = -42 + 42 + 0*c - n*c. Calculate 11*k(y) - 6*m(y). -3*y Let k(d) = -6*d**3 + 420*d**2 - 26*d. Let t(g) = 6*g**3 - 490*g**2 + 26*g. Determine -7*k(s) - 6*t(s). 6*s**3 + 26*s Let h(g) = 2863*g**2 + 6*g - 23. Let z(n) = -954*n**2 - 2*n + 8. Give 6*h(i) + 17*z(i). 960*i**2 + 2*i - 2 Let n = 3506 - 3499. Let l(h) = 9*h**2 + 11*h - 12. Let o(u) = -4*u**2 - 5*u + 6. Calculate n*o(q) + 3*l(q). -q**2 - 2*q + 6 Let u(c) = 16*c - 28*c - 5 + 13*c. Let x be u(13). Let l(m) = -11*m**2 - 17*m. Let s(b) = 4*b**2 + 6*b. Calculate x*s(k) + 3*l(k). -k**2 - 3*k Let i(x) = x + 1. Let s = -66 + 96. Let p(a) = 2*a**2 - a**2 + 8 + s*a - 22*a. Let w = 70 - 46. Calculate w*i(d) - 3*p(d). -3*d**2 Let o(m) = -16*m**2 + 7*m - 17. Let s(b) = -3*b**2 + b - 3. What is 4*o(f) - 22*s(f)? 2*f**2 + 6*f - 2 Let h(p) = -p + 1. Suppose 0 = 8*z + 9*z - 1122. Suppose 7*y = 29*y - z. Let d(b) = -b - 5. Calculate y*h(x) - d(x). -2*x + 8 Let h(i) = -11146*i**3 + 15*i. Let u(j) = 5573*j**3 - 9*j. Calculate 3*h(g) + 5*u(g). -5573*g**3 Let q(f) = -78*f**2 - 34*f - 35. Let m(y) = 39*y**2 + 15*y + 14. Determine 9*m(c) + 4*q(c). 39*c**2 - c - 14 Let w(v) = 4*v + 2. Let m(x) = -3. Let h(t) = t - 1. Let p(q) = 2*h(q) - m(q). Suppose 6*u - 125 = 85. Suppose 141*c = 136*c - u. What is c*p(s) + 3*w(s)? -2*s - 1 Let p(h) = 322*h**3 - 13*h**2. Let y(f) = -2*f**3 + 4*f**2. What is 2*p(w) + 6*y(w)? 632*w**3 - 2*w**2 Let n(k) = 372*k - 1986. Let g(y) = 66*y - 331. What is 23*g(u) - 4*n(u)? 30*u + 331 Let n(o) = -2529*o**3 + 21*o**2 - 26*o - 22. Let z(q) = -1897*q**3 + 16*q**2 - 20*q - 17. Give 10*n(c) - 13*z(c). -629*c**3 + 2*c**2 + 1 Let k(x) = x**2 - x. Let r(y) be the second derivative of y**4/3 + y**3/3 - 7685*y. Calculate 5*k(j) + r(j). 9*j**2 - 3*j Let j(y) = 12*y**2 - 2. Let a(k) = -k**2. Let v = -16493 - -16499. Give v*a(c) + j(c). 6*c**2 - 2 Suppose 0 = t - 1 - 86. Let h = 84 - t. Let o(x) = 5*x - 3. Let j(q) = -14*q + 9. What is h*j(c) - 8*o(c)? 2*c - 3 Let j = -2459 + 2456. Let r(q) = q**3 + 6*q**2 + 5*q - 3. Let w(z) = -6*z**3 - 30*z**2 - 26*z + 16. Determine j*w(s) - 16*r(s). 2*s**3 - 6*s**2 - 2*s Let h(p) = 2*p**3 - 213*p**2 - 2*p + 5. Let b(t) = -5*t**3 + 418*t**2 + 4*t - 11. Determine 3*b(l) + 7*h(l). -l**3 - 237*l**2 - 2*l + 2 Let u = -36 - -37. Let d(s) = -12*s + 3. Let c(h) = -99. Let b(z) = -79. Let l(n) = -5*b(n) + 4*c(n). Determine u*d(r) + 3*l(r). -12*r Let q(g) = 70*g + 18. Let c(n) = 79*n + 18. What is -3*c(m) + 2*q(m)? -97*m - 18 Let g(n) = -n**3 - 4*n - 1. Let v(d) = 26*d**3 - 9*d**2 - 20*d - 5. Calculate 5*g(j) - v(j). -31*j**3 + 9*j**2 Let t = 3 - 2. Let i(g) be the first derivative of -g**2/2 + g + 2163. Let p(q) = -8*q + 8. Calculate t*p(h) - 10*i(h). 2*h - 2 Let p(i) = -157*i**3 + 54*i - 5474. Let l(t) = 12*t**3 - 4*t + 421. Determine 27*l(r) + 2*p(r). 10*r**3 + 419 Suppose 2 + 13 = -5*a. Let f(o) be the third derivative of -o**5/12 + o**4/8 - o**3/6 - 6853*o**2. Let s(u) = -6*u**2 + 4*u - 1. Determine a*f(z) + 2*s(z). 3*z**2 - z + 1 Let x(f) = 7*f**3 + 5*f**2 + 5*f - 4. Let q(c) = -6*c**3 - 5*c**2 - 4*c + 3. Suppose 5*z + 3*w = 29, -59*z - 4 = -57*z - 4*w. Calculate z*x(l) + 5*q(l). -2*l**3 - 5*l**2 - 1 Let h(o) = -o**3 + 12*o**2. Let y(t) = t**3 - 41*t**2 - 9*t - 2. Give 3*h(u) + y(u). -2*u**3 - 5*u**2 - 9*u - 2 Let a(i) = i**3 - 121*i**2 + 1767*i + 105. Let u be a(104). Let x(f) = 10*f**2. Let n(l) = l**2. Determine u*x(p) + 3*n(p). 13*p**2 Let j(b) = 338*b + 12. Let z(x) = 1350*x + 46. Give -23*j(g) + 6*z(g). 326*g Let z(l) = 54235 - l - 54235 + 0*l. Let p(x) be the second derivative of 3*x**3 - 3*x + x - 5*x**3. What is p(d) - 15*z(d)? 3*d Let f(j) = -1977*j + 5. Let a(g) = 983*g - 3. Determine -10*a(t) - 6*f(t). 2032*t Let f(z) = -z. Let y(c) = 7*c + 4*c - 7*c - 6*c + 6*c. Calculate 22*f(i) + 4*y(i). -6*i Let h(r) = 4*r**2 + 39. Let s(w) = -15 + w - 3321*w**2 + 5 + 3320*w**2 - w. Give 6*h(g) + 22*s(g). 2*g**2 + 14 Let h(i) = -2*i + 7. Let l(c) = -4120*c + 17304. Calculate 2472*h(p) - l(p). -824*p Let n(q) = q - 3. Let c(v) = -v + 1. Let d(f) = -6*c(f) - 2*n(f). Let h(k) be the first derivative of 2*k**2 - 69. Determine -2*d(b) + 3*h(b). 4*b Let l(q) = 89*q + 4. Let t(v) = 87*v + 7. Give 3*l(c) - 2*t(c). 93*c - 2 Let k be 1 + -3 - (16 - 23). Suppose -270*p = -265*p + k. Let v(y) = -y**2 - 4*y - 8. Let w(f) = f + 1. What is p*v(u) - 6*w(u)? u**2 - 2*u + 2 Let w(v) be the second derivative of -3*v**5/20 + 7*v**3/6 - 5*v**2/2 + 85*v - 10. Let a(i) = -2*i**3 + i**2 + 6*i - 4. Determine 5*a(m) - 4*w(m). 2*m**3 + 5*m**2 + 2*m Let g(x) = -25*x**2 - 4*x + 4. Let v(i) = 36*i - 335. Let z be v(9). Let o(c) = -75*c**2 - 11*c + 11. Give z*g(b) + 4*o(b). -25*b**2 Let u(z) = -z**3 - z**2 + 27*z + 19. Let h be u(5). Let l(f) = 1. Let i(w) = -2*w + 4. Give h*l(r) + i(r). -2*r + 8 Let c(l) = -203*l + 7. Let a(k) = -51*k + 4. Give 9*a(z) - 2*c(z). -53*z + 22 Let x(m) = -30*m**2. Suppose -103*u + 99*u = -16. Let z(y) = -y**2. Calculate u*x(l) - 72*z(l). -48*l**2 Let j = 16760 - 16908. Let s(i) = -37*i. Let v(f) = -1813*f. Determine j*s(w) + 3*v(w). 37*w Let v(j) = 3*j**2 - 5*j. Let y(b) be the third derivative of b**5/20 - b**4/6 + 3*b**2 - 75. Calculate -4*v(k) + 5*y(k). 3*k**2 Let h(g) = 4*g - 12. Let t(i) = -6. Let z = 2093 - 2087. Calculate z*h(y) - 12*t(y). 24*y Let t(y) = y**3 - y - 1. Let r(o) = 11*o**3 - 4*o - 4. Let g = -606 - -470. Let m = 140 + g. Determine m*t(j) - r(j). -7*j**3 Suppose 5*m = 10, 2*o + 585 - 597 = -5*m. Let k(p) = p**3 - p**2 - p + 1. Let t(r) = -9*r**3 - 6*r**2 - 5*r + 4. Give o*t(u) - 5*k(u). -14*u**3 - u**2 - 1 Let z(j) = -9*j**2 - 260*j + 1. Let a(b) = 13*b**2 + 392*b - 1. What is 5*a(c) + 7*z(c)? 2*c**2 + 140*c + 2 Let g(j) = 4*j + 4508. Let h(y) = -y - 1127. Determine -2*g(s) - 9*h(s). s + 1127 Let p(f) = 2*f**2 - 5*f + 5. Suppose t + b = 15, -4*t - 6*b = -b - 64. Let l(y) = 47*y - t - 13 - 9*y**2 - 23*y. Calculate 5*l(k) + 24*p(k). 3*k**2 Let r(j) = 19*j**3 - 11*j**2 - 11. Let d(t) be the second derivative of t**5/20 - t**4/12 - t**2/2 + 3*t - 35. Give -44*d(s) + 4*r(s). 32*s**3 Let j(s) = -s**3 - 2073*s**2 + 4*s - 1. Let q(o) = 2*o**3 + o**2 - 6*o + 1. Give j(u) + q(u). u**3 - 2072*u**2 - 2*u Let a(w) = 10*w**3 - 113*w**2 - 18*w + 61. Let z(r) = 7*r**3 - 76*r**2 - 13*r + 41. What is 5*a(y) - 7*z(y)? y**3 - 33*y**2 + y + 18 Let w(q) = -q**3 + 6*q - 3. Let d(h) = -6*h**3 + 48*h**2 + 11*h - 18. Calculate -d(j) + 2*w(j). 4*j**3 - 48*j**2 + j + 12 Let l(u) = -6*u**2 - 2*u - 13. Let p(y) = 7*y**2 + 3*y + 13. Let c be 4/(-25*8/24 - -7). Calculate c*l(m) - 2*p(m). 4*m**2 + 13 Let u(c) = 190 - 100 - 98 - 4*c + c - c. Let l(b) = -9*b - 16. What is -6*l(w) + 13*u(w)? 2*w - 8 Let g(d) = -21*d**2 + 2. Let i(k) = 3*k**2 + 59*k - 282. Let z be i(4). Let w(q) = -83*q**2 + 9. Give z*w(f) - 9*g(f). 23*f**2 Let p(x) be the second derivative of x**4/12 - 2*x + 432. Let y(d) = d**2 + 3*d + 1. Give -2*p(a) + y(a). -a**2 + 3*a + 1 Let i(o) = 4*o**2 + 0*o + o - 5*o**2. Let w(b) = 45*b**2 + 1 + 51*b**2 + 63*b**2 - 210*b**2 + 48*b**2 + 2*b. Determine 2*i(h) - w(h). h**2 - 1 Let h(d) = -53*d - 1. Let z(g) = 105*g - 2864. Determine 2*h(m) + z(m). -m - 2866 Let r(b) = -2993*b**2 - 23*b + 17. Let n(m) = -997*m**2 - 8*m + 6. What is 17*n(a) - 6*r(a)? 1009*a**2 + 2*a Let a(y) = -9*y**2 + 3*y + 14. Let b(t) = -5*t**2 + 3*t + 6. Calculate -4*a(p) + 9*b(p). -9*p**2 + 15*p - 2 Let r(k) = -7*k**2 - 38*k + 67. Let a(h) = 4*h**2 + 21*h - 34. Determine -5*a(y) - 3*r(y). y**2 + 9*y - 31 Let u(z) = -200*z + 7. Let j(h) = -226*h + 7. Calculate -5*j(y) + 6*u(y). -70*y + 7 Let o(u) = 14*u - 41. Let x(h) = -23*h + 68. Let j(m) = -5*o(m) - 3*x(m). Let y(i) = 13*i +
{ "pile_set_name": "DM Mathematics" }
, -2898, -5395? -33*q**3 - 56*q**2 + 20*q + 30 What is the x'th term of -11481591, -22963187, -34444785, -45926385, -57407987, -68889591, -80371197? -x**2 - 11481593*x + 3 What is the b'th term of -496, -1206, -1932, -2674, -3432? -8*b**2 - 686*b + 198 What is the o'th term of -4622, 77, 4774, 9469? -o**2 + 4702*o - 9323 What is the d'th term of -2552254, -2552271, -2552288? -17*d - 2552237 What is the q'th term of 142420, 142426, 142420, 142408, 142396, 142390? q**3 - 12*q**2 + 35*q + 142396 What is the l'th term of -9328, -9385, -9440, -9493, -9544? l**2 - 60*l - 9269 What is the p'th term of 193399, 193397, 193395, 193393? -2*p + 193401 What is the d'th term of 25261, 41673, 58085, 74497? 16412*d + 8849 What is the b'th term of 668, 1801, 2082, 197, -5168, -15327, -31594, -55283? -219*b**3 + 888*b**2 + 2*b - 3 What is the b'th term of -452604, -452595, -452586, -452577, -452568? 9*b - 452613 What is the a'th term of 650746, 650751, 650756, 650761, 650766? 5*a + 650741 What is the q'th term of 14215429, 14215410, 14215391, 14215372, 14215353? -19*q + 14215448 What is the z'th term of -35533323, -71066643, -106599963, -142133283, -177666603, -213199923? -35533320*z - 3 What is the o'th term of -440823, -883002, -1325181? -442179*o + 1356 What is the q'th term of 379470, 379440, 379410? -30*q + 379500 What is the k'th term of 2360, 7656, 16478, 28820, 44676, 64040, 86906, 113268? -k**3 + 1769*k**2 - 4*k + 596 What is the j'th term of 151721542, 151721540, 151721538, 151721536, 151721534, 151721532? -2*j + 151721544 What is the d'th term of 8831521, 17663031, 26494541, 35326051? 8831510*d + 11 What is the c'th term of 153212, 612293, 1377430, 2448623? 153028*c**2 - 3*c + 187 What is the d'th term of -5220, -5269, -5334, -5409, -5488, -5565, -5634? d**3 - 14*d**2 - 14*d - 5193 What is the p'th term of 15654, 64168, 145028, 258234, 403786, 581684, 791928? 16173*p**2 - 5*p - 514 What is the o'th term of 1094546, 1094550, 1094556, 1094564? o**2 + o + 1094544 What is the c'th term of 1745, 3776, 5833, 7922, 10049, 12220, 14441, 16718? c**3 + 7*c**2 + 2003*c - 266 What is the p'th term of -167010, -169547, -172084, -174621? -2537*p - 164473 What is the u'th term of 12073548, 48294198, 108661950, 193176804, 301838760, 434647818, 591603978? 12073551*u**2 - 3*u What is the k'th term of -23225, -23298, -23401, -23540, -23721, -23950, -24233? -k**3 - 9*k**2 - 39*k - 23176 What is the x'th term of -8334789, -8334763, -8334699, -8334579, -8334385, -8334099? 3*x**3 + x**2 + 2*x - 8334795 What is the f'th term of 55590, 53580, 50230, 45540, 39510? -670*f**2 + 56260 What is the p'th term of 58297948, 58297946, 58297944, 58297942? -2*p + 58297950 What is the r'th term of 740740, 1481471, 2222202, 2962933? 740731*r + 9 What is the r'th term of 22025, 20317, 18609? -1708*r + 23733 What is the p'th term of 9085, 8162, 6617, 4450, 1661, -1750? -311*p**2 + 10*p + 9386 What is the y'th term of -96245586, -96245592, -96245598, -96245604, -96245610? -6*y - 96245580 What is the b'th term of 12451607, 49806421, 112064447, 199225685, 311290135? 12451606*b**2 - 4*b + 5 What is the x'th term of -199, -607, -1285, -2233, -3451, -4939, -6697? -135*x**2 - 3*x - 61 What is the h'th term of 741, -2040, -6675, -13164, -21507, -31704? -927*h**2 + 1668 What is the n'th term of 11946081, 11946082, 11946083, 11946084, 11946085, 11946086? n + 11946080 What is the x'th term of -10863490, -10863435, -10863344, -10863217, -10863054, -10862855? 18*x**2 + x - 10863509 What is the o'th term of -82177008, -82176998, -82176974, -82176930, -82176860, -82176758, -82176618, -82176434? o**3 + o**2 - 82177010 What is the y'th term of -147987, -152302, -159493, -169560, -182503? -1438*y**2 - y - 146548 What is the r'th term of -102460, -102431, -102402, -102373? 29*r - 102489 What is the z'th term of 57723, 57718, 57721, 57738, 57775, 57838, 57933? z**3 - 2*z**2 - 6*z + 57730 What is the y'th term of -6932, -7429, -7918, -8399? 4*y**2 - 509*y - 6427 What is the y'th term of -12323896, -12323894, -12323888, -12323878, -12323864? 2*y**2 - 4*y - 12323894 What is the j'th term of -212809, -851242, -1915291, -3404956, -5320237? -212808*j**2 - 9*j + 8 What is the i'th term of 2295659, 9182622, 20660893, 36730472? 2295654*i**2 + i + 4 What is the r'th term of -1482725, -2965347, -4447963, -5930573, -7413177, -8895775? 3*r**2 - 1482631*r - 97 What is the g'th term of -2766, -8422, -17850, -31050, -48022? -1886*g**2 + 2*g - 882 What is the n'th term of -1420, -2546, -3350, -3838, -4016, -3890, -3466? -n**3 + 167*n**2 - 1620*n + 34 What is the m'th term of -314137, -312994, -311091, -308428, -305005? 380*m**2 + 3*m - 314520 What is the q'th term of 6157, 4887, 3555, 2131, 585, -1113, -2993? -5*q**3 - q**2 - 1232*q + 7395 What is the z'th term of -8266933, -8266938, -8266947, -8266960, -8266977? -2*z**2 + z - 8266932 What is the g'th term of -486552, -486529, -486506? 23*g - 486575 What is the w'th term of 15757, 32031, 48305, 64579, 80853, 97127? 16274*w - 517 What is the w'th term of 3180, 6775, 10374, 13977, 17584? 2*w**2 + 3589*w - 411 What is the g'th term of -154380014, -154380015, -154380016? -g - 154380013 What is the c'th term of -67867641, -67867643, -67867645, -67867647, -67867649? -2*c - 67867639 What is the t'th term of 11278, 11268, 11284, 11338, 11442? 2*t**3 + t**2 - 27*t + 11302 What is the q'th term of -764185, -764210, -764235? -25*q - 764160 What is the r'th term of -2749, -5726, -9109, -12898, -17093, -21694, -26701? -203*r**2 - 2368*r - 178 What is the y'th term of -509029495, -509029497, -509029497, -509029495, -509029491, -509029485, -509029477? y**2 - 5*y - 509029491 What is the t'th term of 12503, 21020, 29541, 38066, 46595, 55128, 63665? 2*t**2 + 8511*t + 3990 What is the q'th term of 70, -263, -1156, -2891, -5750, -10015? -47*q**3 + 2*q**2 - 10*q + 125 What is the n'th term of 4028628, 8057173, 12085718, 16114263? 4028545*n + 83 What is the q'th term of -722614, -723809, -725004, -726199, -727394, -728589? -1195*q - 721419 What is the m'th term of -40548, -40543, -40536, -40527, -40516? m**2 + 2*m - 40551 What is the z'th term of 969, 1999, 2959, 3813, 4525, 5059, 5379, 5449? -6*z**3 + z**2 + 1069*z - 95 What is the l'th term of -807, -5512, -10215, -14916, -19615, -24312, -29007? l**2 - 4708*l + 3900 What is the v'th term of -442039, -441467, -440893, -440317, -439739, -439159, -438577? v**2 + 569*v - 442609 What is the r'th term of 256933, 513952, 770971? 257019*r - 86 What is the g'th term of -40508, -80789, -121070? -40281*g - 227 What is the z'th term of 278685, 557704, 836723, 1115742, 1394761? 279019*z - 334 What is the f'th term of -502, -710, -604, -172, 598, 1718? 2*f**3 + 145*f**2 - 657*f + 8 What is the j'th term of 918, 665, 408, 147, -118? -2*j**2 - 247*j + 1167 What is the f'th term of 17240, 33574, 49906, 66236, 82564? -f**2 + 16337*f + 904 What is the o'th term of -1091, -4883, -11203, -20057, -31451, -45391, -61883? -o**3 - 1258*o**2 - 11*o + 179 What is the a'th term of -31813, -123734, -276939, -491428, -767201? -30642*a**2 + 5*a - 1176 What is the j'th term of 95688, 95534, 95380, 95226, 95072? -154*j + 95842 What is the j'th term of -43425381, -43425378, -43425375, -43425372, -43425369? 3*j - 43425384 What is the p'th term of -2322, -2269, -2192, -2079, -1918, -1697, -1404, -1027? 2*p**3 + 39*p - 2363 What is the b'th term of 30994193, 30994213, 30994247, 30994295, 30994357? 7*b**2 - b + 30994187 What is the d'th term of -217, 368, 1351, 2732, 4511? 199*d**2 - 12*d - 404 What is the c'th term of 2620944, 10483562, 23587932, 41934060, 65521952? c**3 + 2620870*c**2 + c + 72 What is the t'th term of -886732, -886682, -886584, -886432, -886220, -885942, -885592, -885164? t**3 + 18*t**2 - 11*t - 886740 What is the a'th term of -5631, -6338, -7045, -7752, -8459, -9166? -707*a - 4924 What is the h'th term of 230785, 231202, 231619? 417*h + 230368 What is the h'th term of -184168, -736861, -1658014, -2947621, -4605676, -6632173? h**3 - 184236*h**2 + 8*h + 59 What is the k'th term of -8374572, -8374570, -8374566, -8374560, -8374552? k**2 - k - 8374572 What is the u'th term of -48598, -97529, -146460, -195391, -244322? -48931*u + 333 What is the r'th term of -22413
{ "pile_set_name": "DM Mathematics" }
+ 5, -4*b + 21 = -3*q. What is the lowest common multiple of b and 1? 9 Let s = 5 + -8. Calculate the common denominator of (-127 + 49)*(-2)/(-21) and ((-1)/s)/(10/(-72)). 35 Let z = -40 + 96. What is the smallest common multiple of 8 and z? 56 Let k = -121 + 240. Suppose -v - 71 = -k. What is the least common multiple of 9 and v? 144 Find the common denominator of 3*1*(-37)/(-5550) and -13/60. 300 Let z = -143299/29313 + -1/3257. What is the common denominator of z and (1/4)/(6/302)? 36 What is the common denominator of -19/168 and 151/(5/(-10) + 833/(-14))? 840 Let i = 6 + -4. Let q(t) = -i - 2*t**2 - 2 - 6*t + 9*t**2 - 8*t**2. Calculate the least common multiple of q(-5) and 1. 1 Let o = -422/7 + 18939/308. Let f be ((-753)/23)/((-196)/(-12)) - -2. Let h = f + 59781/11270. Find the common denominator of o and h. 220 Let m be (-54)/21 + 3 + (-3068)/(-28). Calculate the common denominator of (-51)/m - (-36)/60 and 31/20. 220 Let u be ((-6)/(-170))/(44/(-24005)). Let n = -381479/187 - -2040. Let z = n + u. What is the common denominator of z and -95/4? 4 Let u = 36 + -28. What is the lowest common multiple of 14 and (2 + -92)/((-12)/u)? 420 Suppose -2*f + 24 = 2*f. Suppose 0 = -4*r - 2 - f. Let a(c) = 2*c**2 - 2*c - 4. What is the least common multiple of 2 and a(r)? 8 Suppose -2*f + 5003 = 5*p, 0 = -0*p + 2*p + 2. Let s = f - 25149/10. Calculate the common denominator of s and 1/26. 130 Suppose 5*r - 4 = -3*g, 4*g = 2*g + 2*r + 8. Find the common denominator of ((-6)/(-10))/((-4)/(-170)) and ((-654)/27*g/(-4))/(-2). 12 Let f = -11736456/763 - -15382. Let i be 59294/(-16786) + (8 - 1). Let q = i - f. What is the common denominator of -16 and q? 11 Let g(r) = 2*r**2 + 4*r - 1. Let h be g(-3). Suppose -3*a - 2*o = -2*a - 6, 5 = -h*o. Calculate the smallest common multiple of 7 and a. 56 Let b = 1 + -4. Let c(z) = -z**2 - 15*z + 10. Let r(k) = 2*k**2 + 15*k - 9. Let p(h) = b*c(h) - 2*r(h). What is the lowest common multiple of p(14) and 5? 10 Let i be (-157579488)/(-81) + (-4)/(-18). Let p = 15591575/8 - i. Let q = 3533 - p. Calculate the common denominator of 1/4 and q. 8 Let h(z) = z**2 - 51*z + 22. Calculate the lowest common multiple of 10 and h(51). 110 Let i = -39663/4600 - 3/1150. What is the common denominator of i and 137/72? 72 What is the common denominator of -29/30 and (-3 - 231/2)*2/12? 60 Suppose 0 = 85*y - 46*y - 20592. Calculate the lowest common multiple of 16 and y. 528 Suppose 3*r - 19 = 2*k + 3*k, 0 = 5*r + k - 13. Calculate the least common multiple of 7 and (-15)/(-9) - (-25)/r. 70 Suppose 50*m = -126*m + 5808. Let o(n) = n**2 + 3*n - 1. What is the lowest common multiple of o(-4) and m? 33 Calculate the common denominator of (-480)/54 + 4 + (-4 - -1) and 151/192. 576 What is the common denominator of (-6288)/(-1760) - (-3)/(45/3) and 77/20? 220 Let r be (-2)/13 + (-76)/13. Let m(t) = -t**2 - 6*t + 9. Calculate the smallest common multiple of m(-6) and ((-44)/(-6))/(r/(-9)). 99 Let k be (-3)/(-6) - (-6)/4. Suppose 11 = 3*j + 2*x, -2*j + 6*x = k*x - 2. What is the smallest common multiple of 5 and j? 15 Let m = -1025/688 + 13/43. Let h(z) = -z**2 - 3*z + 1. Let f be h(-4). What is the common denominator of ((f - 4)*3)/20 and m? 80 Suppose 4*q - 28 = -3*f, -67 + 15 = -4*f + 2*q. Let u = -2582 - -31087/12. What is the common denominator of 72/(-20)*45/f and u? 12 Suppose -11*l + 8*l = -6. What is the common denominator of -36/5 and (178/(-4))/(-1 + l)? 10 Let g = 573 + -568. Calculate the smallest common multiple of g and 97. 485 Suppose 218 + 2102 = -5*i. Calculate the common denominator of (-5)/25 + i/130 and -93/2. 26 Suppose 7*n - n = 114. Suppose 3*h + 3*s = -6, -4*s + 2 - n = h. Suppose -h*u - 3*g = -24, u = 2*g - g. What is the lowest common multiple of u and 6? 12 Suppose -21 = -5*t - 3*r, 0*r + 21 = 3*t - r. Calculate the smallest common multiple of 40 and t. 120 Let g(d) = -d**2 + 9*d - 2. Let o be g(7). Calculate the smallest common multiple of 22 and 1*3 + 7 + o. 22 Let z = -17 - -29. Let a(l) = z*l + 1 + 1 - 3 - 3. What is the least common multiple of 10 and a(2)? 20 Let m(z) = -z**2 - 17*z + 5. What is the smallest common multiple of m(-12) and 40? 520 Let t(j) = -6*j - 1. Let r(d) = d**3 - 7*d**2 + 5*d + 9. Calculate the lowest common multiple of t(-1) and r(6). 15 Suppose 28 = -10*p + 8*p. Calculate the common denominator of -26/33 and 1*26*p/(-49). 231 Let o be 54/(-30)*(-30)/9. Let p(l) = -l**2 + 13*l - 3. Calculate the least common multiple of 12 and p(o). 156 Let k(b) = -b**2 - 6*b + 3. Let q be k(-6). Suppose -a = q*m - 2581, -3*m + 2*a - 857 = -4*m. Let n = 5177/6 - m. Find the common denominator of 53/9 and n. 18 Let v(j) = -14*j + 5. Let k be v(-3). Suppose -40 = -f + 5*a, -4*f + a + 37 + k = 0. What is the smallest common multiple of f and 10? 20 Suppose -6*k + k = 225. Calculate the common denominator of (7/8)/(1/(-1)) and (k/24)/(9/(-42)). 8 Suppose 10*w - 13 - 27 = 0. Let r be 224/(-20) - 2/(-10). Let a = r - -27. Calculate the smallest common multiple of a and w. 16 Find the common denominator of 37/33 and (1/(-18))/((-11)/(-440)). 99 Let v = 559 - 387. What is the lowest common multiple of v and 26? 2236 Let g(f) = -f**2 + 25*f + 6. What is the lowest common multiple of g(25) and 12/(3 + (-6)/4)? 24 Let m = -3186/16115 - 6/293. Find the common denominator of m and 41/10. 110 Let c(k) = k**2 - 4*k - 7. Let x be c(5). Let n = -11 + x. Let p = n - -31. What is the smallest common multiple of 18 and p? 18 Let r(t) = -36*t - 100. Let z(u) = -u**3 + 2*u**2 + 5*u - 4. Suppose -15 = l - 6*l. Calculate the smallest common multiple of r(-3) and z(l). 8 Let i = -211 + 3451/16. Find the common denominator of i and -17/164. 656 Let s be (2 - 17)*(-24)/40. Let b = 14 - s. Suppose -2*v = -2*n - 4, -3*n + 15 = 5*v - 7*n. Calculate the lowest common multiple of v and b. 35 Suppose -15 = -9*q + 39. Suppose q*l = 5*l + m + 22, -3*l + 62 = -m. Calculate the lowest common multiple of l and 6. 60 Suppose x + 4 = 10. Calculate the least common multiple of 2/7 + 384/28 and x. 42 Suppose 4*c + 3*v - 417 = 0, -6*c - 2*v + 414 = -2*c. Calculate the common denominator of 4/1 - c/(-132) and -1 - -2 - 95/(-2). 22 Let j = -499 - -504. Calculate the least common multiple of j and 10. 10 Let b be (-1)/(-5) - 306/5. Suppose 7*a - 6*a = 2*n - 31, -4*n + 83 = -3*a. Let x = a - b. Calculate the lowest common multiple of 12 and x. 120 Suppose f + 0 - 2 = -i, -5*i - f = 2. Calculate the common denominator of -14/11 and (-21)/2*i/((-12)/(-5)). 88 Let u be (-5)/(-2)*(2 + 4). Let w = u - 8. Suppose -9*f + 23 = -22. Calculate the smallest common multiple of f and w. 35 Let z(h) = -h**3 + 9*h**2 + 97*h + 18. What is the smallest common multiple of z(15) and 6? 246 Suppose 5*h = h + 16. Calculate the smallest common multiple of (-24)/56 - (-38)/7 and h. 20 What is the common denominator of -13/69 and 609/(-798) + 1*(-1)/3? 2622 Let x = 6/67 + -3246/335. Calculate the common denominator of x and 92/105. 105 Let k = -752522053/24574 + 336850/11. Calculate the common denominator of k and 53/2. 2234 Let i = 49237/4044 - 31/337. Find the common denominator of 39/8 and i. 24 Let n = -1/16 - 3/80. Let h = 70837/16 - 4431. Calculate the common denominator of h and n. 80 What is the lowest common multiple of 46 + (-7 + 17 - 17) and 135? 1755 Let y be (-72)/(-10)*(-39)/12. Let c = -93/5 - y. Calculate the common denominator of 1/15*(-1 - (-1937)/26) and c. 10 Suppose 0 = 3*c + 5*u + 4 - 6, 2*c = -5*u - 2. Suppose r - 6 = 4*o, -c*o = -2*r - 3*r + 14. Let h = 52 - 34. Calculate the smallest common multiple of r and h. 18 Suppose 2*c + v - 1 = 0, -3*c = 2*c + 5*v. Let y be c*(-1 - 0) + -3. Calculate the smallest common multiple of 9 and (-1 + y)*-1 - 3. 18 Suppose -5*a - 2*s + 0*s = -90, 2*a + 3*s - 47 = 0. Calculate the least common multiple of 244 and a. 976 Suppose 0 = -4*b + 8*b - 192. Suppose 4*i = i + b. What is the least common multiple of i and 10? 80 Let k(j) = -3*j - 8. Let q = -10 - -18. Let l be k(q). Find the common denominator of -127/18 and 6 + -2 + 318/l. 144 Let y(l) = -l**2 + 12*l. Suppose -45 = -4*x - 9. What is the smallest common multiple of 4 and y(x)? 108 Calculate the least common multiple of 165 and -1 + 453/(18/6). 1650 Fin
{ "pile_set_name": "DM Mathematics" }
r be (-8)/(-2 - 0/1). Let w = r - 1. Calculate the highest common factor of 12 and w. 3 Let y(r) = -125*r**2 + 1. Let k be y(-1). Let h = 201 + k. Calculate the highest common divisor of h and 7. 7 Suppose 6*d - 12 = 18. Let t(k) = 3*k + 9. Let a be t(d). Suppose -80 = -0*g - 4*g - 4*f, -2*g - 3*f + 44 = 0. What is the highest common divisor of a and g? 8 Let a(g) = 1. Let i(t) = -t**2 + 8*t - 12. Let q(c) = 5*a(c) + i(c). Let b be q(5). Calculate the highest common divisor of 80 and b. 8 Let u(a) = -3 + 1 - 2 + 2*a. Let r be u(5). Suppose -2*q - 2*q = -192. Calculate the greatest common factor of q and r. 6 Suppose 56 = 4*z + 2*o, o - 3 = -z + 10. What is the highest common divisor of 45 and z? 15 Let v = 10 - 6. Calculate the highest common divisor of 1 and v. 1 Let i(b) = -b - 2. Let d be i(4). Let q be 2/(-1) - d - 2. Let u be q + 2 - (4 - 3). What is the greatest common factor of u and 2? 1 Let h be (-2)/((6/20)/(-3)). Calculate the greatest common divisor of h and 30. 10 Suppose 87 = i - 2*u, 2*i = -2*u + 111 + 63. Calculate the highest common factor of 29 and i. 29 Suppose -h + 9 = -10. What is the greatest common factor of 152 and h? 19 Let s(d) = d**3 + 8*d**2 - 16. Let f be s(-7). What is the greatest common factor of 198 and f? 33 Let w(y) = y**2 - 3*y - 11. Let r be w(6). What is the highest common factor of r and 28? 7 Let t be 2208/112 + (-2)/(-7). Calculate the highest common divisor of t and 10. 10 Suppose -4*w - 3*d + 887 = -0*d, -5*d + 1105 = 5*w. Calculate the greatest common factor of w and 14. 14 Let x(l) = -l**3 + 12*l**2 + 14*l - 9. Let s be x(13). Suppose 3*z = -s*u + 16, 3*u = -2*z + 3 + 9. Calculate the highest common factor of 6 and u. 2 Let r be -13 + 27 - (-1*1 + -1). What is the highest common divisor of 56 and r? 8 Let f be ((-20)/8)/((-2)/44). Suppose f + 33 = 2*w. Calculate the greatest common factor of w and 11. 11 Suppose -6*i - 5*i + 3025 = 0. Suppose -13 = 4*q - 113. Calculate the greatest common factor of i and q. 25 Suppose 5*g = 3 + 12. Suppose 0 = -3*w + 2*v + 13, -4*v = -w - g*v + 6. Let i = -9 + 18. What is the highest common divisor of w and i? 1 Suppose 3*a + 10 - 106 = 0. Let f(g) = 3*g - 7. Let d be (1 - 1) + 5/1. Let r be f(d). Calculate the highest common factor of r and a. 8 Let l = -24 - -24. Suppose 5*z - 121 = -4*g - 45, 2*g - z = 24. Let q = l + g. Calculate the greatest common divisor of q and 14. 14 Let u(v) = -16*v**3 - v. Let p be u(1). Let j(a) = 3*a - 10. Let m be j(-6). Let r = p - m. What is the greatest common factor of r and 99? 11 Let h = 91 - 27. Let s(m) = 2*m**2 + m + 2. Let f be s(6). Suppose -f = -0*j - 5*j. What is the greatest common divisor of h and j? 16 Let p be (5/15)/((-2)/(-60)). What is the highest common divisor of 10 and p? 10 Let g be 2*1 - (-3 - -5). Suppose 5*j + g = 5. Suppose -2*t = t - 9. Calculate the highest common factor of j and t. 1 Let h(k) = 2*k**2 + 6*k + 7. Let d be h(-3). Calculate the greatest common factor of d and 63. 7 Let f = 92 - 63. Let c = f - 26. Suppose 0 = 5*d + 5*z + 5, -d - z + 5 = -3*z. Calculate the highest common factor of d and c. 1 Let b be 5 + 1/(1/(-2)). Suppose -3 - b = -w. Let u = 18 - w. Calculate the greatest common divisor of u and 6. 6 Suppose -2*r = -3*i, -4*r = -i - 0*i. Let p be 24/2 - r/3. Calculate the greatest common divisor of p and 6. 6 Suppose -15 = 2*r - 5*r. Suppose -10 - 10 = -r*g. Calculate the highest common divisor of g and 6. 2 Let h = -4 - -4. Suppose 4 = v + 5*d, v = -h*v + 2*d + 32. What is the highest common factor of v and 60? 12 Let d = 1 + 1. Calculate the greatest common divisor of d and 4. 2 Suppose 5*w - 90 = 90. Suppose 0 = 6*h - 3*h - w. What is the greatest common factor of h and 24? 12 Suppose -161 - 92 = -s. Let p = s + -172. Calculate the highest common factor of p and 9. 9 Let n(l) = 13*l**2 + l + 1. Let b be n(-1). Let r be 52 + 1 + 5 + -6. What is the greatest common factor of b and r? 13 Let s = 69 - 57. Calculate the greatest common divisor of s and 132. 12 Let r be 4/10*(-1)/2*-20. Let k(u) = 6*u**2 + 2*u - 4. Let q be k(-3). Calculate the highest common divisor of q and r. 4 Let j(v) = -v**2 - 13*v - 6. Let r be j(-12). Let u = 11 - r. What is the greatest common factor of u and 25? 5 Let v be (-9)/4*(1 - 5). Calculate the greatest common factor of v and 45. 9 Let v(p) = p. Let r be v(-3). Let b = -1 - r. Suppose 3*k - 6*k - 8 = -4*m, 3*k - 4 = -2*m. What is the greatest common factor of b and m? 2 Suppose -5*t = -10*t + 165. What is the greatest common factor of t and 11? 11 Let z(q) = -q**3 - 7*q**2 - 8*q - 6. Let y be z(-7). Suppose -2*h + h - 6 = 0. Let v be (-40)/h*(-9)/(-6). Calculate the highest common divisor of y and v. 10 Let t(s) = s**3 - 16*s**2 + 14*s + 17. Let f be t(15). What is the greatest common factor of f and 8? 2 Let j(g) = 3 - 13*g + 4 - 4. Let h be j(-3). Let x be 7/((-5)/(-2) + -2). Calculate the highest common factor of x and h. 14 Suppose 3*n - 328 - 356 = 0. Calculate the highest common divisor of 38 and n. 38 Let h be 0/((-3)/6*-4). Suppose h = -4*v - 12 - 20. Let s be (3/(-4))/(2/v). Calculate the greatest common factor of s and 21. 3 Let b be 2/(-7) + 12102/21. Suppose v = -3*v + b. What is the highest common divisor of v and 16? 16 Let z be (-6 + 5)*(-15 + 0). Calculate the highest common factor of 15 and z. 15 Let i(q) = q**2 + 7*q + 8. Let a be i(-7). Let c = a - 0. Let m(l) = -4*l + 6. Let t be m(1). Calculate the greatest common factor of t and c. 2 Suppose 5*u - 6 = -1. Let l be (140/(-25))/(u/(-5)). Let f(q) = -4*q - 6. Let d be f(-5). What is the greatest common factor of l and d? 14 Suppose w = 6*z - z + 5, 10 = -3*z + 2*w. Suppose 10 = -2*u, 3*d + 2*u - 314 = -z*u. Calculate the greatest common divisor of 18 and d. 18 Let z = 1 + -5. Let q be z/5*(-35)/2. What is the greatest common factor of q and 70? 14 Suppose -5*c = -4*r - 54, 2*c + 2*c + 5*r = 35. Let z be 5 + (1 + -4)/3. Suppose 0 = -y + 3*y - z. Calculate the greatest common factor of y and c. 2 Let q be 11/(132/(-40))*36/(-15). Calculate the greatest common divisor of q and 20. 4 Let n = 10 - 7. Let i be (-48)/(-9) - 10/(-15). Calculate the highest common factor of i and n. 3 Suppose 4*v - n = -11, -4*v - 5 = -2*n + 5. Let l be (v + -49)*3/(-6). Calculate the greatest common factor of 13 and l. 13 Let n(d) = d**3 + 2*d**2 - d - 1. Let r be n(2). Suppose -9*b = -r*b + 60. Calculate the highest common factor of b and 6. 3 Suppose 3 = 2*v - 7*v - 2*h, 0 = -5*v - 3*h - 7. Suppose -3*d = 5*z - 16, -z + 0*z = -4*d + 29. Calculate the greatest common factor of d and v. 1 Let f be 2 - (-18 + -1 + -2). Let o be 318/14 + (-4)/(-14). What is the greatest common divisor of f and o? 23 Suppose -11 = -r + i + 11, 0 = 4*r + 2*i - 106. Calculate the greatest common divisor of r and 25. 25 Let r = -1 + 17. Calculate the highest common divisor of 16 and r. 16 Let l be 6/(-21) + 2106/21. Let b = l + -60. Suppose -5 = -m + 5. Calculate the greatest common factor of m and b. 10 Let l(h) = h**3 + 2*h**2 + h - 2. Let u be l(-2). Let t be u/(-6) - 22/(-3). What is the highest common divisor of 72 and t? 8 Suppose -14 - 6 = -4*j. Let k = 9 - j. Let i = -63 - -107. What is the greatest common divisor of i and k? 4 Let c be 5*-1*18/(-45). Suppose 0 = 4*a + 4*n - 24, c*n - 16 = -a - 2*a. What is the greatest common factor of a and 12? 4 Suppose 25 = 2*g - g + 5*m, -2*g = 5*m - 35. Suppose 72 = -8*v + 232. Calculate the highest common divisor of g and v. 10 Suppose 0 = u - 14 + 2. What is the highest common factor of u and 12? 12 Let g(f) = f**3 - 3*f**2 - f + 10. Let a be g(5). Let h = 2 + 3. What is the highest common factor of a and h? 5 Suppose 91*a - 24 = 88*a. Suppose 9 = 3*f, 6 = -0*q + q + 2*f. Suppose 0 = o - 4*p, -45 = -o - q*o - 5*p. Calculate the highest common factor of o and a. 4 Let l(o) = o**3 + 10*o**2 - 24*o + 13. Let v be l(-12). What is the greatest common divisor of 351 and v? 13 Let l = 1 + 4. Suppose -2*o - 42 = -l*o. Suppose -4*y = 2 - 10. What is the highest common factor of o and y? 2 Let d be (-52)/(-6) - (-1)/3. Let j be (-2)/d + 220/18. Let o(g) = -g + 9. Let y be o(3). Calculate the highest common factor of j and y. 6 Suppose 5*h - 2*q = 266, -2*h + 5*h = 2*q + 162. Calculate the
{ "pile_set_name": "DM Mathematics" }
t r(u) = -u**3 - 14*u**2 + 7*u + 56. Give r(-13). -204 Let w(f) = f**2 + 27*f + 126. Give w(-8). -26 Let w(s) = s**2 - 107*s + 2802. Calculate w(48). -30 Let a(r) = 141*r + 29174. Calculate a(-207). -13 Let a(f) = 2*f**3 - 11*f**2 - 4*f + 3. What is a(6)? 15 Let q(h) = -56*h - 13. Calculate q(2). -125 Let x(f) = -60*f + 14. What is x(2)? -106 Let p(x) = 4*x**3 + 47*x**2 - 3*x + 43. What is p(-12)? -65 Let f(j) = -j**2 + 70*j - 214. Give f(66). 50 Let c(l) = -244*l - 6837. Give c(-28). -5 Let a(q) = -16*q**2 + 112*q - 5. Calculate a(9). -293 Let u(s) = 207*s + 234. What is u(-2)? -180 Let m(u) = -4*u**3 - 40*u**2 - 32*u - 2. Give m(-8). -258 Let b(o) = 1875*o - 4. Calculate b(0). -4 Let f(d) = -9*d**2 + 112*d - 138. Determine f(11). 5 Let z(i) = 74*i + 5. Calculate z(1). 79 Let x(n) = -3*n + 50. Calculate x(16). 2 Let a(i) = -i**3 - 4*i**2 + 19*i + 58. Calculate a(-8). 162 Let m(g) = 74*g**3 + 4*g**2 + 4*g - 6. What is m(1)? 76 Let z(w) = -5*w**2 - 692*w - 253. Determine z(-138). 23 Let g(y) = 164*y**2 - 5*y - 1. Give g(-1). 168 Let s(l) = l**2 - 79*l + 632. Give s(81). 794 Let d(i) = -14*i - 161. Give d(-4). -105 Let l(q) = -q**3 - 6*q**2 + 10*q + 13. Calculate l(-5). -62 Let g(v) = -6*v**2 + 9*v - 4. Determine g(4). -64 Let s(l) = -22*l**3 + 113*l**2 + 5*l - 96. Give s(5). 4 Let b(v) = 225*v + 722. Determine b(-4). -178 Let o(a) = 2*a**2 + 14*a + 44. Determine o(-7). 44 Let z(y) = 9*y**2 + 54*y - 253. Give z(5). 242 Let h(t) = -1008*t + 1968. Give h(2). -48 Let r(s) = 243*s + 469. Calculate r(-2). -17 Let x(c) = -c**3 - 44*c**2 - 66*c + 608. Determine x(-42). -148 Let x(m) = -m**3 - 85*m**2 - 2*m - 113. What is x(-85)? 57 Let p(i) = -i**3 + 8*i**2 + 15*i - 8. Determine p(7). 146 Let h(l) = 9*l + 260. Determine h(-10). 170 Let c(f) = -38*f + 98. Calculate c(3). -16 Let b(k) = -3*k**3 + 13*k**2 - 2*k + 12. Give b(5). -48 Let o(w) = 41*w**2 - 102*w - 3. Calculate o(3). 60 Let b(x) = x**2 - 23*x + 155. What is b(15)? 35 Let a(v) = 11324*v - 22646. Calculate a(2). 2 Let m(i) = -2*i**3 + 25*i**2 - 9*i + 47. Calculate m(13). -239 Let h(m) = 2*m**2 - 26*m + 31. What is h(17)? 167 Let y(s) = -s**2 + 26*s - 37. What is y(20)? 83 Let j(v) = 1057*v + 38061. What is j(-36)? 9 Let i(n) = 2*n**3 - 2*n**2 + n - 223. Give i(0). -223 Let v(t) = 5*t**3 + 20*t**2 + 7*t + 26. Give v(-4). -2 Let n(b) = -b**2 - 10*b - 14. Determine n(9). -185 Let j(d) = -d**3 + 18*d**2 + 752*d - 160. Calculate j(-20). 0 Let s(o) = 92*o - 2413. What is s(27)? 71 Let o(h) = -h**3 - 10*h**2 + 141*h - 98. Give o(-18). -44 Let h(p) = p**2 - 8*p - 70. What is h(-5)? -5 Let j(p) = -p**3 + 12*p**2 - 28*p + 76. What is j(10)? -4 Let y(w) = w**2 + 20*w + 73. Determine y(-4). 9 Let i(p) = -11*p + 42. What is i(-3)? 75 Let z(l) = 4*l**2 + 23*l - 60. Give z(-14). 402 Let c(k) = -4*k**2 - 43*k - 181. Calculate c(-5). -66 Let g(p) = -557*p - 3351. Give g(-6). -9 Let c(m) = m**2 - 91*m + 2093. Determine c(48). 29 Let u(p) = -p**3 - 3*p**2 - 3*p + 5. Calculate u(-4). 33 Let d(z) = -z**3 - 8*z**2 + 22*z + 72. Give d(-3). -39 Let i(f) = f**2 - 104*f + 2673. Determine i(59). 18 Let c(k) = -4*k**3 - 52*k**2 - 145*k - 5. Give c(-4). -1 Let c(u) = -2*u**3 + 16*u**2 - 29*u - 1. What is c(5)? 4 Let k(y) = 3*y**3 + 7*y**2 - y + 4. Give k(-5). -191 Let i(o) = -5*o**2 + o + 118. Calculate i(0). 118 Let i(p) = 38*p + 465. Give i(-12). 9 Let o(v) = -v**3 - 8*v + 66. Give o(4). -30 Let i(q) = -130*q - 123. Determine i(-1). 7 Let y(j) = -2*j**3 + 53*j**2 + 96*j - 310. Give y(28). 26 Let f(t) = -32*t + 54. Give f(-3). 150 Let n(m) = -m**3 - 26*m**2 - 105*m + 5. What is n(-21)? 5 Let h(i) = 4414*i + 61792. Calculate h(-14). -4 Let m(j) = j**2 - 808*j - 1629. What is m(-2)? -9 Let p(x) = 27*x**2 - 138*x + 12. Give p(5). -3 Let v(b) = 47*b + 204. Determine v(-6). -78 Let a(y) = y**3 - 67*y**2 + 197*y - 325. Give a(64). -5 Let x(l) = -2*l**2 - 20*l + 39. Give x(-12). -9 Let w(p) = -5*p**3 - 5*p - 5. Determine w(-2). 45 Let j(h) = -h**3 - 105*h**2 + 13*h + 1371. Calculate j(-105). 6 Let p(c) = -12*c**2 - 263*c + 1271. Give p(-26). -3 Let i(q) = q**2 + 35*q + 68. Give i(-31). -56 Let y(v) = -v**2 + 742*v - 8045. Determine y(11). -4 Let a(c) = 102*c**2 + 965*c + 6. Give a(-9). -417 Let o(r) = -r**3 + r**2 - 19*r + 47. What is o(3)? -28 Let n(u) = -u**3 + 11*u**2 + 59*u - 274. Calculate n(5). 171 Let t(v) = v**3 + 19*v**2 - 116*v - 5. Determine t(-24). -101 Let c(m) = m**3 - 15*m**2 - 47*m + 11. Calculate c(-3). -10 Let l(x) = x**3 + 24*x**2 + 109*x + 4. What is l(-10)? 314 Let v(r) = -212*r**3 + 9*r + 9. Give v(-1). 212 Let t(z) = 152*z - 605. Calculate t(4). 3 Let b(v) = -2*v**2 + 49*v - 283. Determine b(12). 17 Let v(l) = 11*l**3 + l**2 + 9*l + 30. Determine v(-2). -72 Let n(k) = -k**2 + 35*k - 136. What is n(26)? 98 Let t(n) = 8*n + 317. Determine t(-41). -11 Let n(t) = t**2 + 25*t + 20. Give n(-17). -116 Let j(z) = -821*z - 4102. Determine j(-5). 3 Let d(m) = -m**3 - 7*m**2 + 76*m - 21. Give d(-13). 5 Let q(k) = k**2 + 22*k - 167. Give q(-29). 36 Let l(f) = 12*f + 95. Determine l(-6). 23 Let g(z) = 13*z**2 + 1542*z + 950. Give g(-118). 6 Let i(p) = -3*p**3 - 3*p**2 + 9*p + 14. What is i(-2)? 8 Let i(h) = h**3 - 7*h**2 - 3*h + 11. Calculate i(8). 51 Let i(k) = 3*k**3 - k**2 + 5*k + 10. Determine i(0). 10 Let a(o) = -2*o**3 - 27*o**2 + 19*o + 64. Determine a(-14). -6 Let l(k) = k**3 + 34*k**2 - 51*k - 17. Determine l(-36). -773 Let k(a) = -a**2 + 19*a - 33. Determine k(11). 55 Let k(s) = 41*s + 4588. Determine k(-112). -4 Let m(c) = c**3 - 41*c**2 + 5*c - 125. Determine m(41). 80 Let q(f) = -5*f**2 + 10*f + 67. What is q(-3)? -8 Let b(l) = -7*l**2 + 96*l + 33. Give b(14). 5 Let q(z) = -135*z**3 - 5*z**2 - 3*z + 1. Calculate q(-1). 134 Let s(x) = 19*x**2 - 440*x + 65. Give s(23). -4 Let b(f) = -8*f**2 + 97*f + 73. Give b(13). -18 Let m(g) = 103*g + 1036. Calculate m(-10). 6 Let a(s) = -8*s**2 + 58*s - 435. Determine a(7). -421 Let v(f) = 21*f + 345. Determine v(-20). -75 Let k(j) = -107*j + 4497. Give k(42). 3 Let l(j) = -208*j - 423. Calculate l(-2). -7 Let u(t) = 5*t + 564. Determine u(-113). -1 Let v(y) = -62*y + 174. Calculate v(3). -12 Let m(k) = 14831*k + 14814. What is m(-1)? -17 Let x(l) = l**3 + 34*l**2 + 143*l - 79. Determine x(-6). 71 Let a(w) = 2478*w + 4949. What is a(-2)? -7 Let r(q) = 519*q + 2232. Determine r(-5). -363 Let x(a) = 27*a**2 + 164*a - 2. What is x(-6)? -14 Let f(j) = 1420*j + 140580. Give f(-99). 0 Let i(v) = 21*v + 1496. What is i(-71)? 5 Let u(b) = -181*b + 3380. Give u(18). 122 Let s(d) = d**3 - 14*d**2 + 26*d - 216. Determine s(13). -47 Let n(y) = 41*y - 1987. Give n(62). 555 Let t(p) = 2*p**2 - 5*p - 23. Give t(4). -11 Let j(m) = 5*m**3 + 3*m**2 - 9*m + 1. Calculate j(-2). -9 Let z(t) = t**3 - 72*t**2 - 93*t - 4069. What is z(74)? 1 Let c(n) = 6*n**2 - 83*n - 26. Give c(14). -12 Let r(d) = -d**3 + 23*d**2 - 59*d + 5. Give r(3). 8 Let m(w) = -67*w - 1147. Calculate m(-17). -8 Let t(w) = 32*w + 947. Give t(-29). 19 Let s(w) = 630*w - 3127. Calculate s(5). 23 Let o(z) = -24*z**2 + 487*z - 147. What is o(20)? -7 Let j(p) = -196*p + 1138. Give j(6). -38 Let h(o) = -58*o - 1087. What is h(-19)? 15 Let s(m) = -13*m**2 + 2*m - 15. What is s(-4)? -231 Let m(o) = -3*o**3 + 4*o**2 - 18*o - 9. What is m(0)? -9 Let m(x) = 3*x + 217. What is m(-42)? 91 Let o(f) = 176*f + 8. What is o(-2)? -344 Let b(s) = -2*s**3 + 57*s**2 - 160*s + 800. Calculate b(26). 20 Let w(i) = i**3 - 121*i**2 - 245*i - 110. Calculate w(123). 13 Let c(s) = s**3 - 4*s + 48. Determine c(0). 48 Let g(s) = s**2 + 93*s - 908. Calculate g(9). 10 Let r(l) = -l**3 + 73*l**2 - 84*l + 883. Calculate r(72). 19 Let y(f) = 40*f**2 - 115*f + 323. Determine y(3). 338 Let f(z) = z**3 + 11*z**2 - 56*z - 412. What is f(-13)? -22 Let n(v) = 28357*v - 56721. What is n(2)? -7 Let t(y) = 3*y**2 - 5*y - 36. What is t(-4)? 32 Let r(k) = 3*k**2 - 58*k + 5. What is r(11)? -270 Let a(n) = n**3 + 7*n**2 + 4*n + 15. Calculate a(0). 15 Let h(j) = 105*j + 23205. What is h(-221)? 0 Let n(x) = -9*x**2 + 17*x - 12. What is n(4)? -88 Let m(h) = -5*h**2 - 3*h - 17. Calculate m(-2). -31 Let x(r) = r**3 - 2*r**2 - 21*r + 47. What is x(0)? 47 Let v(t) = t**2 - 34*t - 896. What is v(-14)? -224 Let a(p) = -74*p**2 + 3332*p - 88. Calculate a(45). 2 Let o(h) = -h**
{ "pile_set_name": "DM Mathematics" }
e Is 649829 prime? True Is 302831 a composite number? False Is 40731 prime? False Is 2149 a prime number? False Is 76917 composite? True Is 465659 a prime number? True Is 38405 composite? True Is 7069 a composite number? False Is 170087 prime? False Is 193283 prime? True Is 15629 prime? True Is 5623 composite? False Is 2285 prime? False Is 8191 a composite number? False Is 10937 a prime number? True Is 379883 prime? False Is 14779 prime? True Is 2018987 a composite number? False Is 39323 composite? False Is 6893 a prime number? False Is 2161 a prime number? True Is 46213 a prime number? False Is 1817 prime? False Is 38495 prime? False Is 323641 prime? True Is 18965 composite? True Is 97 prime? True Is 39541 a composite number? False Is 603197 a composite number? True Is 331183 prime? True Is 180211 a prime number? True Is 1657 a prime number? True Is 35417 a composite number? True Is 11113 composite? False Is 87977 a composite number? False Is 60541 a composite number? True Is 199 a composite number? False Is 5469 a prime number? False Is 2557 a prime number? True Is 34499 a prime number? True Is 285869 prime? False Is 511 a prime number? False Is 7997 prime? False Is 33149 a prime number? True Is 153407 a prime number? True Is 279779 a prime number? True Is 45307 prime? True Is 1561 a composite number? True Is 35417 composite? True Is 3235 a prime number? False Is 15089 prime? False Is 1626829 prime? True Is 142939 composite? False Is 14311 prime? False Is 12706 a composite number? True Is 1903 a composite number? True Is 6889 a composite number? True Is 545485 prime? False Is 50011 a composite number? True Is 41893 composite? False Is 121663 a prime number? False Is 64669 prime? False Is 21787 prime? True Is 1240595 prime? False Is 56237 composite? False Is 15031 a prime number? True Is 691 composite? False Is 294919 a composite number? False Is 15567 a prime number? False Is 191531 a composite number? False Is 29623 a prime number? False Is 21662 a prime number? False Is 19529 composite? True Is 296767 a prime number? True Is 1709131 prime? True Is 43919 composite? True Is 11629 a composite number? True Is 103769 prime? True Is 124861 a prime number? False Is 195751 prime? True Is 362941 a composite number? False Is 56921 a composite number? False Is 114143 prime? True Is 1911199 a prime number? True Is 27143 a composite number? False Is 673 prime? True Is 29641 a prime number? True Is 169151 composite? False Is 209849 a prime number? False Is 41381 prime? True Is 2035871 composite? True Is 188263 a prime number? False Is 208751 a prime number? False Is 74483 a composite number? True Is 3097 composite? True Is 927961 a composite number? False Is 43049 a prime number? True Is 839029 a composite number? False Is 214651 composite? False Is 130661 composite? True Is 4009 a composite number? True Is 10729 prime? True Is 233839 prime? False Is 54493 composite? False Is 17455 composite? True Is 28271 a prime number? False Is 58831 composite? False Is 2609 a prime number? True Is 4201 prime? True Is 33323 a composite number? True Is 7571 a composite number? True Is 1033481 a composite number? True Is 68963 a composite number? False Is 6863 a composite number? False Is 265 a prime number? False Is 44911 a prime number? False Is 817 a prime number? False Is 335 prime? False Is 8923 a prime number? True Is 83017 a prime number? False Is 9299 a composite number? True Is 45523 composite? False Is 451501 a prime number? False Is 4327 composite? False Is 22441 composite? False Is 1243 a prime number? False Is 52597 composite? True Is 490298 prime? False Is 377761 prime? True Is 159085 a prime number? False Is 173251 prime? False Is 171565 composite? True Is 87991 prime? True Is 455397 prime? False Is 12283 a prime number? False Is 36061 prime? True Is 56137 composite? True Is 24671 composite? False Is 170627 prime? True Is 233153 composite? True Is 8473 a composite number? True Is 54781 composite? True Is 131143 a composite number? False Is 32341 a composite number? False Is 61561 prime? True Is 12197 a prime number? True Is 225791 prime? False Is 37847 a composite number? False Is 175673 a prime number? True Is 9115 a composite number? True Is 343481 a prime number? True Is 779151 a composite number? True Is 193957 a prime number? True Is 9806291 a prime number? False Is 2442981 composite? True Is 1099051 a composite number? False Is 83519 a prime number? False Is 531931 composite? True Is 229093 a prime number? True Is 28979 a prime number? True Is 24953 prime? True Is 5981 a composite number? False Is 23447 prime? True Is 915191 a prime number? True Is 130579 composite? False Is 147661 a composite number? False Is 636047 composite? True Is 47911 a composite number? False Is 5723 a prime number? False Is 12539 a composite number? False Is 318421 composite? True Is 13499 a prime number? True Is 27581 a prime number? True Is 200939 composite? True Is 97213 composite? False Is 93887 composite? False Is 1109 composite? False Is 22229 a prime number? True Is 15161 composite? False Is 39439 prime? True Is 10481 a composite number? True Is 2716849 prime? True Is 18787 a composite number? False Is 521 a composite number? False Is 116519 prime? False Is 912391 a prime number? True Is 558083 a composite number? False Is 13217 a composite number? False Is 46589 a prime number? True Is 1819 a composite number? True Is 9733 a prime number? True Is 36131 prime? True Is 906437 prime? False Is 44633 composite? False Is 7009 prime? False Is 376781 prime? False Is 1465883 a prime number? False Is 165329 composite? True Is 18607 composite? True Is 44553 prime? False Is 26735 a composite number? True Is 10583 a composite number? True Is 196201 composite? False Is 1828571 prime? False Is 33437 a prime number? False Is 35879 a composite number? False Is 59091 composite? True Is 81667 a composite number? False Is 1748291 prime? True Is 24649 a composite number? True Is 2135471 composite? True Is 14401 composite? False Is 114409 composite? True Is 741283 a composite number? False Is 7789 a prime number? True Is 17783 a prime number? True Is 28829 a prime number? False Is 11027 composite? False Is 102013 prime? True Is 1576193 prime? False Is 7955897 composite? False Is 81493 composite? True Is 9743 a composite number? False Is 51749 composite? False Is 17317 a composite number? False Is 79931 composite? True Is 131041 a prime number? True Is 1329353 a composite number? False Is 12373 prime? True Is 113311 a composite number? True Is 21961 a composite number? False Is 34691 a prime number? False Is 276613 prime? False Is 269291 prime? False Is 33841 prime? False Is 26849 a composite number? False Is 10033 prime? False Is 331871 composite? False Is 4465957 a composite number? False Is 273551 a prime number? True Is 189841 a prime number? False Is 17401 composite? False Is 85691 composite? False Is 16657 composite? False Is 37039 a prime number? True Is 16727 a composite number? True Is 48053 composite? True Is 724799 composite? True Is 12319 composite? True Is 26489 a composite number? False Is 533347 prime? False Is 958 composite? True Is 1829 a composite number? True Is 2820089 a composite number? False Is 1054499 a prime number? False Is 222001 a prime number? False Is 5627 prime? False Is 50761 composite? True Is 328178 composite? True Is 10007 a prime number? True Is 5323 a prime number? True Is 543637 a composite number? False Is 248343 composite? True Is 21891 a prime number? False Is 1214947 a prime number? True Is 12219 prime? False Is 3279823 a prime number? False Is 590537 prime? True Is 16757 prime? False Is 30729 composite? True Is 12793 a composite number? True Is 11149 a prime number? True Is 4121503 composite? False Is 991673 composite? True Is 15659 prime? False Is 10418 prime? False Is 847427 composite? True Is 23389 a prime number? False Is 12077 a prime number? False Is 8147 composite? False Is 977527 prime? False Is 25318 a prime number? False Is 5219 composite? True Is 6767 a prime number? False Is 197473 composite? True Is 621001 a prime number? False Is 13343 composite? True Is 265 prime? False Is 9953 composite? True Is 58567 composite? False Is 308
{ "pile_set_name": "DM Mathematics" }
third smallest value? (a) 3 (b) -0.13 (c) -4 (d) 1 d What is the second biggest value in 0.1, -54, -3? -3 What is the smallest value in 3/8, 0.1, 1, -3, -0.06? -3 Which is the third smallest value? (a) 1/50 (b) -1 (c) -2/35 a What is the second smallest value in 77, 0, 1/7? 1/7 Which is the third smallest value? (a) 2/7 (b) 5 (c) 1 b Which is the biggest value? (a) -1/3 (b) -0.4 (c) -0.19 c What is the third biggest value in -4, 1/5, 3, -3, 2? 1/5 What is the third biggest value in 38, -4/9, 0.1? -4/9 Which is the second biggest value? (a) 20 (b) -1.7 (c) 0.1 c Which is the second smallest value? (a) -25 (b) 5 (c) 4 c Which is the smallest value? (a) -5 (b) 112/9 (c) 14 a Which is the smallest value? (a) 0.4 (b) 3 (c) -299 c Which is the smallest value? (a) -0.2 (b) -0.0296 (c) -1 c What is the smallest value in 5/4, -3/2, -0.05? -3/2 What is the third smallest value in 1/6, -7.867, -2? 1/6 What is the smallest value in -3/20, 7/2, 1/10? -3/20 What is the third smallest value in 1, 0.265, -19, 4? 1 What is the biggest value in -2/7, 0.06, 1? 1 What is the third smallest value in -5, 1, -2/3, -1/2? -1/2 Which is the biggest value? (a) -2/15 (b) 0.4 (c) -0.4 (d) 8 (e) 0 d Which is the second smallest value? (a) 0.55 (b) 21 (c) -5 a Which is the third smallest value? (a) -14 (b) 1.8 (c) 0.4 b What is the second biggest value in -0.2, 2, -25.7? -0.2 Which is the second biggest value? (a) -48 (b) 3 (c) -5 (d) 0 d What is the second biggest value in -4, 3, 2/3, 0? 2/3 Which is the third biggest value? (a) 0 (b) -3 (c) 1.07 b What is the third biggest value in -5, 2/3, 1.4? -5 What is the fifth smallest value in 3, -1/3, -12, 1, 0.01? 3 What is the second smallest value in -1112, -2/19, -0.3? -0.3 Which is the smallest value? (a) -2/7 (b) -1/5 (c) -0.01 (d) -4 (e) -2 d Which is the smallest value? (a) -22 (b) -2 (c) -0.4 a Which is the third smallest value? (a) 5 (b) 2/33 (c) 0.077 a Which is the fourth smallest value? (a) -0.5 (b) -2/17 (c) -2 (d) -2/13 (e) 16 b Which is the biggest value? (a) -2/5 (b) 0.4 (c) -3/7 (d) -7 b Which is the biggest value? (a) -95/4 (b) 2/23 (c) 5 c What is the third smallest value in -82, -2/11, -0.2? -2/11 Which is the second smallest value? (a) -4 (b) -84.4 (c) 0.3 a Which is the third biggest value? (a) -0.4 (b) -3 (c) -340 (d) -1/7 b What is the third biggest value in -3, 1, -61/2? -61/2 What is the fifth biggest value in 24, 0.3, 2, 1/3, 0.4? 0.3 Which is the fourth smallest value? (a) -0.7 (b) 15 (c) -4 (d) -1 (e) 4 e Which is the second biggest value? (a) -2.2 (b) 1/7 (c) -2/5 (d) -2/9 (e) 1/5 b Which is the second biggest value? (a) 0.2 (b) 12 (c) 3 (d) -0.1 c Which is the fourth smallest value? (a) 3 (b) -3 (c) -0.2 (d) 0 (e) -1.2 d Which is the third smallest value? (a) -5.2 (b) 2 (c) -4/3 (d) 1/5 d What is the third biggest value in 295, 4, 3.6, 3? 3.6 What is the third smallest value in 1, -9, -3, 0.09? 0.09 Which is the third smallest value? (a) 4/13 (b) 4 (c) 52 c What is the smallest value in 6/5, 5, -1/3? -1/3 What is the second smallest value in -5, 1/2174, 5, 0.3, 2/5? 1/2174 What is the second biggest value in 2, -1, 0.1, -0.4? 0.1 What is the biggest value in 5, 1/5, 61, -0.3? 61 Which is the fourth smallest value? (a) 0.1 (b) -2/17 (c) 0.22 (d) -2 c What is the biggest value in 0.05, -9, 0? 0.05 Which is the third biggest value? (a) 3 (b) -5 (c) -5/6 b Which is the second smallest value? (a) -5 (b) -0.2 (c) -2.27 (d) 0.4 (e) 2 c Which is the third biggest value? (a) -0.1 (b) -1/5 (c) -2/7 (d) -21 c Which is the second smallest value? (a) 1/2 (b) -1/11 (c) -79 b Which is the third biggest value? (a) -2/9 (b) -0.5 (c) 18 b Which is the second smallest value? (a) -16 (b) 1.5 (c) 0.3 (d) 0.4 c What is the third smallest value in -0.09, -4, 0.3, -3/2, 0.05? -0.09 What is the biggest value in 0.3, 1/19, 0.03? 0.3 What is the third smallest value in 10, -5, -0.5? 10 Which is the third smallest value? (a) -5 (b) 4 (c) 0.197 b What is the biggest value in 0.5, -0.3, -0.209? 0.5 Which is the second smallest value? (a) -2/5 (b) 2/5 (c) -6 (d) 2 a What is the fourth smallest value in -1, 4, 5.7, -5? 5.7 What is the biggest value in -3/59, -2, -3? -3/59 What is the third biggest value in 1/2, 0, -5, 6, 1.1? 1/2 What is the biggest value in 2/7, 1/4, -138/5? 2/7 What is the smallest value in 18, 5, -144? -144 Which is the fourth biggest value? (a) 0.1 (b) 0.043 (c) -0.1 (d) 1/3 c What is the third smallest value in 2/9, -1, 1? 1 What is the third smallest value in 0, 5, -0.06? 5 What is the second smallest value in 2, 6/13, -33? 6/13 Which is the smallest value? (a) -17 (b) -41 (c) 3 b What is the third smallest value in -0.3, -0.9, -0.02, -5? -0.3 Which is the second biggest value? (a) 3 (b) 59 (c) -5 (d) 0.3 (e) 0.1 a Which is the biggest value? (a) 2 (b) -0.2 (c) 1.5 (d) 0.5 a Which is the second smallest value? (a) -1 (b) -0.19 (c) 0 (d) -1/3 d Which is the fifth biggest value? (a) 4 (b) 0.04 (c) 3/2 (d) -0.5 (e) 1/3 d What is the second biggest value in -3, 0.09, 1? 0.09 Which is the second smallest value? (a) -2/7 (b) -1/6 (c) -46 a What is the third biggest value in -3/2, -0.05, -46, 0.1? -3/2 What is the second smallest value in 0, 0.4, 80? 0.4 Which is the fifth biggest value? (a) 3 (b) 0.4 (c) -4/33 (d) -1/8 (e) -3 e What is the second smallest value in 2/15, 0.3, 0.026? 2/15 What is the fourth biggest value in -29/6, -2/5, 2/5, -0.04, 3? -2/5 What is the third biggest value in 20, -4, 0.02? -4 What is the fourth smallest value in -2/15, -3, -14, -5? -2/15 What is the smallest value in 8/5, 0.1, 16? 0.1 Which is the biggest value? (a) -65 (b) -0.3 (c) 1 c What is the biggest value in -51, 1/3, 1/5? 1/3 Which is the fourth biggest value? (a) -0.2 (b) 2/5 (c) -0.06 (d) -4 d Which is the second biggest value? (a) -4 (b) 177 (c) -2/17 c What is the fifth biggest value in 111, 6, -0.4, 2, -3? -3 What is the smallest value in -5, -11, -2/11, 1? -11 What is the second smallest value in -1, -310, 3/4? -1 Which is the third smallest value? (a) -2 (b) 4 (c) -16 (d) 2/3 d What is the biggest value in 1/5, 0.274, 2? 2 What is the fourth smallest value in -3, 39, -2/13, -0.4? 39 Which is the smallest value? (a) 4 (b) -5 (c) -10 (d) -2 (e) -3 c Which is the third smallest value? (a) 0.4 (b) 14.3 (c) -0.8 b What is the second smallest value in -1, -1664, -2, -0.3? -2 What is the biggest value in 2/3, -0.4, 3/55, 8? 8 Which is the third biggest value? (a) 3 (b) -2801 (c) 0.4 b Which is the second biggest value? (a) 1 (b) -0.8 (c) 38/17 a Which is the smallest value? (a) -2/9 (b) -5 (c) -0.3 (d) 64 b What is the second biggest value in 2, 13/7, 1/4, -2/15, -0.1? 13/7 Which is the second smallest value? (a) 13/4 (b) -1 (c) 3 (d) 29 c Which is the smallest value? (a) -42 (b) -2/11 (c) 3 a What is the fifth biggest value in -3/2, -5, -2/3, 85/8, 1/10? -5 What is the third biggest value in 0.4, 5, 8, -37? 0.4 Which is the fifth biggest value? (a) 0.4 (b) -18 (c) -2/3 (d) -4 (e) -0.6 b Which is the fifth smallest value? (a) -1/13 (b) 5 (c) -4/5 (d) 7 (e) 28 e What is the second smallest value in -1/3, 1/2, -3, 82, 0.2? -1/3 What is the smallest value in -2, 14, -3? -3 Which is the fourth smallest value? (a) -8/5 (b) -1/10 (c) -1 (d) -1/3 b Which is the smallest value? (a) -3 (b) -1/31 (c) 1 a What is the biggest value in 0.3, -2, -3, 1/3? 1/3 What is the third smallest value in -4, 1, 0.04, -1/8, 4? 0.04 Which is the second biggest value? (a) 24.4 (b) 3 (c) -0.9 b What is the biggest value in 3/2, -0.5, -2/9, -3/8? 3/2 What is the second biggest value in -0.6, 0.5, 2/13? 2/13 Which is the smallest value? (a) 2 (b) 7 (c) -2 c What is the fourth biggest value in 2/9, -0.1, -1, 38? -1 What is the second smallest value in -2/27, -1/3, 0.4? -2/27 Which is the fourth biggest value? (a) -1 (b) -6 (c) -1/3 (d) -0.4 (e) 9 a Which is the third smallest value? (a) 4 (b) -4 (c) 0.3 (d) 15/11 d Which is the smallest value? (a) 1/215 (b) -1.4 (c) -3 (d) -5 (e) -0.3 d What is the third biggest
{ "pile_set_name": "DM Mathematics" }
/(-3) - 1. Solve 0*a + 4*a = n for a. 0 Let h(i) = 2*i**3 - i**2 - 2*i + 3. Let m = 10 - 8. Let j be h(m). Solve j = 3*y - 4 for y. 5 Suppose 0 = 2*p + t - 3, -5*p - 4*t = -0*t - 9. Let a = p - 0. Let s be a - 0 - (4 - 6). Solve s*y = -0 + 12 for y. 4 Suppose 5*g = -2*k - 23 + 2, -2*g = 10. Suppose k*h - h = 4. Suppose -h*t + 3*t + 4 = 0. Solve 5*b = b + t for b. 1 Let u = -3 + 7. Let f be 2/u*(43 + -5). Suppose f + 16 = 5*j - 4*d, -d = 0. Solve -9 = -j*k + 4*k for k. 3 Suppose -s = 4*k + 4, s - 2*s + 4 = -4*k. Solve -5*v + 10 = -s*v for v. 2 Let p(m) = -m**2 + 8*m - 7. Let d be p(7). Suppose d = 4*k - 2*k. Suppose -3*v - 2*z - 4 = 0, -v - 2*z + k*z - 4 = 0. Solve -4*o + v*o = -20 for o. 5 Let a be 2 - 1 - (2 - 4). Suppose g - a*g = 0. Let k be (-6)/(9/6*-1). Solve g*z - z + k = 0 for z. 4 Let l(u) = -u**3 - 3*u**2 - u + 2. Let b(h) = h. Let x be b(2). Suppose -2 = -x*y + 3*y. Let o be l(y). Solve o = -m + 1 for m. 1 Suppose -18 = 5*t - 11*t. Let d be -1 + 0 + 1 + 2. Suppose -c + 4 = -t*s, d*c + 5*s = -c + 40. Solve -4*i + 2 + c = 0 for i. 3 Let z(s) = -s**2 + 9*s + 6. Let p be z(6). Suppose 2*y - 6*y + p = 4*u, 0 = -2*u - 4*y + 16. Solve -u = -5*r + 16 for r. 4 Let q = -109 - -115. Solve -4*f = -q - 14 for f. 5 Suppose -6 + 2 = -y. Suppose 5*g - 4*c = 278, -g + 6*g - 276 = 3*c. Suppose -41 - g = -5*o. Solve -7 = -y*x - o for x. -3 Let q be -12 + 3 - (-2 + 3). Let m be (-6)/q + 22/5. Solve -m = 2*k - 3*k for k. 5 Let n = 3 + -2. Suppose 0 = y + n - 4. Solve -y*v + 0*v = -3 for v. 1 Let l(q) be the first derivative of -q**4/4 - 3*q**3 + 9*q - 5. Let d be l(-9). Solve -o - 2*o = d for o. -3 Let j(n) = -3*n - 75. Let y be j(-26). Solve -y = -4*z - 11 for z. -2 Suppose -2*v + 26 + 4 = -5*k, 0 = -4*k - 16. Solve 0*i + 15 = -v*i for i. -3 Suppose -j = -1 - 0. Let q = j - -1. Solve -s = -q*s for s. 0 Let y(l) = -l. Let w(g) = -g - 2 + 2. Let a(o) = 4*w(o) - 5*y(o). Let n be a(3). Solve u = n*u for u. 0 Suppose 3*o = 5*f + 22, -5*f = -o - 3*o + 26. Suppose 2*b - b = o. Let r = b - 2. Solve s - 2*s = -r for s. 2 Let z be ((-6)/(-4))/(6/8). Suppose 0 = -3*a - z*a + 25. Suppose 0 = p + a*b - 12, 5*p + 3*b = 4*p + 10. Solve k + p - 5 = 0 for k. -2 Let z(l) = -l**2 - 7*l - 4. Let c be z(-6). Suppose -6 = -v - c*v. Suppose -4*o + 4*m - 9 = -3*o, 2*m - 6 = 0. Solve -v*a - o = -a for a. -3 Let h be 13*(-1)/1 + -2. Let y = -13 - h. Solve -y = -g + 1 for g. 3 Let z be 0*((-2)/(-1))/(-2). Suppose 5 = -b + 8. Solve -b*m - m + 20 = z for m. 5 Let l be 66/8 + 7/(-28). Solve 0 = 9*i - 13*i - l for i. -2 Let c be 2*1132/(-8) - 1. Let w be (-8)/28 - c/14. Solve -6*f + f = w for f. -4 Let p(i) = -i**3 - 6*i**2 - 6*i - 1. Let x be p(-5). Suppose -5 = l, -j + 5*l = 6*l - x. Solve 4*u = u - j for u. -3 Let a(k) = k + 1. Let t be a(1). Suppose 2*x - 4*w + 4 = 0, -t*x - 3 = -0*x - 3*w. Solve x = 2*v + 4 for v. -2 Suppose 14*j - 12 = 8*j. Solve j*m + m + 12 = 0 for m. -4 Let x(l) = l**3 + 8*l**2 + 6*l + 10. Let f be x(-7). Suppose 0*n + 7 = -n - 5*o, o = 5*n - f. Suppose -16 = -3*a - 1. Solve 2 = -n*j + a for j. 1 Let w(f) = -9*f**3 + f**2 + f - 1. Let v be w(1). Let p = -6 - v. Solve -4*a - p = -5*a for a. 2 Let y(f) = -f**2 + 6. Let d be y(6). Let n = -20 - d. Suppose 4*v = -3*k + 10, 22 = 4*v + v - k. Solve -10 = -v*j + n for j. 5 Let j be 20/16*(2 + 2). Solve j = 5*m - 10 for m. 3 Let g(q) = 47 - 6 + 0*q**2 + q**2 + q. Let k be g(0). Suppose 4*w = 5*n - k, 4*w - w + 12 = 0. Solve -t - n = -0 for t. -5 Suppose 27 = 2*x - 9. Let p = -15 + x. Solve -w - 2*w = p for w. -1 Let a = 8 + -4. Suppose 3*n - 7 = -5*j, 4*j - 3*j + a*n + 2 = 0. Solve -j*o = 3*o for o. 0 Suppose -4 = 2*b + 10. Let u(f) = f**2 + 5*f - 8. Let i be u(b). Let c = 9 - i. Solve -t - 2*t + c = 0 for t. 1 Let n = -55 + 78. Let x = n - 3. Solve 4*z + 0 + x = 0 for z. -5 Let s(t) = -t**3 - 4*t**2 - 2*t - 6. Let o(v) = v**3 - 11*v**2 + 9*v + 6. Let h be o(10). Let a be s(h). Solve 2*q - a - 6 = 0 for q. 4 Let o = 4 + 4. Let w be (-5)/(-2) + 4/o. Let y be 2/6 + (-10)/(-6). Solve -1 = -y*c + w for c. 2 Suppose 3*c + 21 = 3*d, -18 = -3*c + 5*c - 3*d. Let t be ((-1)/c)/(3/135). Let l = -7 + t. Solve z - l = -3*z for z. 2 Let s be (0 - 1/(-2))*4. Suppose 3 = s*x - 5. Let u(j) = j**3 + 17*j**2 + 17*j + 31. Let m be u(-16). Solve x*l - l + m = 0 for l. -5 Suppose 3*z = 9 + 3. Suppose 4*v - z*n + 7*n = -15, -2*v - 3*n = 3. Let m be v/((-1 - -3)/(-2)). Solve -k = k + m for k. -3 Let v = -1 - -1. Suppose -2*g - g - 60 = v. Let j be ((-24)/g)/((-2)/(-10)). Solve -j = -n - n for n. 3 Let i(z) = -z**2 + 8*z - 3. Let g be i(7). Solve -4*f = g + 16 for f. -5 Suppose x = 5*x - 64. Suppose -4*r - x = -2*r. Let a = -4 - r. Solve -9 - 7 = -a*z for z. 4 Suppose 12 = 3*z, 7*d = 3*d - 3*z + 12. Solve d*c + 5 = c for c. 5 Let x be (-1)/((4/(-6))/2). Let d = -5 + 5. Suppose d = -0*f + f. Solve -x*b + 6 + 3 = f for b. 3 Suppose -2*o = 10, -5*d + 2*o - o + 30 = 0. Solve -d*b - 9 = 6 for b. -3 Suppose 13 + 2 = 5*j. Suppose -2*k + 45 = j*k. Suppose -o + 16 = 3*o. Solve -5 = -k*h + o*h for h. 1 Let w = -23 - -23. Solve w = -3*j + j for j. 0 Suppose 35*x - 12 = 33*x. Solve 2*l + x = -0*l for l. -3 Let j be (-10)/35*(1 - 8). Suppose -j*b - 4 = -16. Solve 2*u + b = -u for u. -2 Suppose 0 = 2*a + 3*a - 3*q - 27, 0 = 2*a - 5*q - 26. Suppose 2*r = -5*k + a*k + 12, 4*k - 5*r - 15 = 0. Solve 0 = k*j - 6 + 26 for j. -4 Let x(k) = k**2 + 8*k - 4. Let w be x(-9). Solve -w = 4*b + 3 for b. -2 Let i be 2*1/2 + -1. Let o(r) = 2*r - 8. Let x be o(7). Solve i = x*k - k + 25 for k. -5 Let r(x) = -x**2 + 6*x - 5. Let o be r(5). Suppose o*n + 5*n = 60. Suppose h - 4*k = -2*k + n, 4*h + 17 = -5*k. Solve -6*u + 20 = -h*u for u. 5 Let i be 5/(-2)*4/(-10). Let l be 1 + 11/1*i. Suppose -4*p = 4*q - 32, 5*q + 2 = l. Solve 2*r - p*r = 0 for r. 0 Suppose h + 7 = 2*o - 4*h, 4*o + h - 3 = 0. Let q = 1 - -1. Let w = 19 - 10. Solve -w = q*v - o for v. -4 Let q(x) = 2*x - 1. Let l be q(2). Suppose 9 = 5*c - 36. Suppose 0 = 2*k - 0*k + l*u + c, 0 = 3*k - 4*u - 12. Solve k = -t - 0*t + 3 for t. 3 Suppose 4*w - 37 = -17. Solve 9 - 34 = w*o for o. -5 Let y be (-1)/((-1)/(15/(-3))). Let b be ((-4)/y)/((-2)/(-25)). Let g(d) = d - 10. Let k be g(b). Solve k = 2*z + z - 15 for z. 5 Let p be (4/2)/(1 - -1). Let o be 12 + (-3 + 3 - p). Solve 3*t + 4 + o = 0 for t. -5 Let l(h) be the second derivative of h**4/12 + h**3/3 - h**2/2 + 3*h. Let b be l(1). Solve 4 + b = 3*w for w. 2 Let r = 5 - 2. Suppose -r*t + 3 = -0*t. Solve t = -2*c - 3 for c. -2 Let v = -4 + 3. Let z be (-2)/(-1) + -3 - v. Solve 4*i - i = z for i. 0 Let g = 3 - 3. Let u be g + 1 + 4/2. Solve -1 = -4*f + u for f. 1 Suppose k = -1 + 4. Suppose 5*q + 1 + 12 = -4*d, -4*d - k*q = 3. Solve -d*n + 0*n = -6 for n. 2 Suppose 1 = -2*r + 11. Suppose 3 = r*g - 7. Solve -6*n - 20 = -g*n for n. -5 Let l(f) = -3*f + 3 - 1 + 0*f**2 - 2*f**2 + f**3. Let q be l(3). Suppose 3*a = q*a - 4*d + 18, 5*a = 2*d + 2. Solve -5 = -a*z + 1 for z. 3 Let v be 1/(0 + (-20)/(-15) + -1). Solve -v = 5*o + 12 for o. -3 Let j be (-4 + 2)*(-4)/(-8). Let m = j + 4. Solve -k + m + 1 = 0 for k. 4 Suppose -2*v + 4 + 11 = 3*u, -5*u - 2*v = -25. Solve -16 = -u*l - 41 for l. -5 Let n be (1 - 1)/4 - -4. Solve -2*x - 2*x = -n for x. 1 Let p = 149 - 147. Solve 0 = 4*c - 2*c + p for c. -1 Suppose c - 8 = -3*t + 6, -2 = -2*t + 3*c. Let b be 2 - (t + (-3)/3). Let p be (b - (0 - 0))*-1. Solve -n + 0*n = -p for n. 1 Let n(z) = -z**3 + 3*z**2 + 6*z - 4. Let o be n(4). Solve -2*s + o = 2 for s. 1 Suppose -57 = 5*o + 2*j - 234, -152 = -4*o + j. Solve -12 = -5*l - o for l. -5 Let z(y) = -y - 8 + 8 - 8. Let o be z(-10). Solve 0 = -2*b - o*b for b. 0 Let l(z) = 3*z - 3 + 6*z - 5*z + 2*z - z**2. Let f be l(5). Let r be 4*(-2 - (-5)/f). Solve -r*p + 2 = -2 for p. 2 Let g be -2 - -22*2/4. Solve -u - 2*u = -g for u. 3 Let t be 2/(-1 + (-9)/(-7)). Let m(h) = -h + 6. Let v be m(10). Let u be 14 + -6 + 1*v. Solve -9 = u*b - t*b for b. 3 Let a = 26 + -25. Let i be -3 + (4 - (1 - -1)). Let c = a + i. Solve c*j - j = -5 for j. 5 Let v(d) = d**3 + 4*d**2 - 6*d + 4. Let a be 18/(-6) + (-2)/1. Let x be v(a). Solve o - 4*o + x = 0 for o. 3 Let v = 3 + -4. Let c be -1*(v + -3 + 1). Suppose -2*z + 4 = -3*q + 11, 9 = -q - 5*z. Solve -c*j + q = 13 for j. -4 Let o be 108/14 - 10/(-35). S
{ "pile_set_name": "DM Mathematics" }
41. -2*w Collect the terms in 6990*f - 4459*f + 19195*f. 21726*f Collect the terms in -3671*a + a**3 + 3671*a + 890 - 3*a**3. -2*a**3 + 890 Collect the terms in -650998*o + 1941957*o + 2982183*o - 905763*o. 3367379*o Collect the terms in 48*u - 192*u + 53*u + 2707 + 51*u + 38*u. -2*u + 2707 Collect the terms in -14322451*v**2 + 737182*v**2 - 1986287*v**2. -15571556*v**2 Collect the terms in -14281 + 15954 - 3*o + 5*o. 2*o + 1673 Collect the terms in 41 - 1773*v**2 + 7343*v**2 - 18. 5570*v**2 + 23 Collect the terms in 1557 - 1250 - 3*n**2 - 307 - 5*n. -3*n**2 - 5*n Collect the terms in -218220*x**2 - 218228*x**2 + 654658*x**2 - 218236*x**2. -26*x**2 Collect the terms in -669*v - 2137 - 2129 - 2130 + 6397 - 158*v. -827*v + 1 Collect the terms in -32*h - 34*h + 69*h - 14525. 3*h - 14525 Collect the terms in -1480*p**2 - 30553 - 1470*p**2 + 30553 + 2967*p**2. 17*p**2 Collect the terms in 7635 - 14831 + 7192 - 15*r**2. -15*r**2 - 4 Collect the terms in 1206 + 2833 + 4*h - 2*h. 2*h + 4039 Collect the terms in -9943 + 9943 - 38956*i**3. -38956*i**3 Collect the terms in -19*m + 28*m - 4177444*m**3 - 9*m. -4177444*m**3 Collect the terms in -17*t - 16*t + 45*t - 16*t + 6*t**2 + 855. 6*t**2 - 4*t + 855 Collect the terms in -1539*f**2 - 129*f + 2 + 313*f**2 + 116*f - 1. -1226*f**2 - 13*f + 1 Collect the terms in -6*p**2 + 6492926211 + 8*p**2 - 6492926224. 2*p**2 - 13 Collect the terms in 3867286925 + 3*i**3 - 3867286925. 3*i**3 Collect the terms in -62737*r - 49 + 126410*r - 63672*r. r - 49 Collect the terms in -15042*z**2 - 1706*z**2 - 10121*z**2 + 3294*z**2. -23575*z**2 Collect the terms in -716*f + 1509*f - 805*f. -12*f Collect the terms in -20*y + 148183411 - 148183411. -20*y Collect the terms in 39891*f - 20017*f - 12692*f**2 - 19874*f. -12692*f**2 Collect the terms in 2*p - 19*p + 3*p - 37*p**2 - 4 + 12*p**2 + 10*p. -25*p**2 - 4*p - 4 Collect the terms in 2964*z**3 - 27*z - 74*z + 101*z. 2964*z**3 Collect the terms in -2 - 2*g**3 - 1848901*g**2 - 1848903*g**2 - 3 + 3697804*g**2 + 5. -2*g**3 Collect the terms in 5 + 532*p + 1 - 857*p + 621*p + 3. 296*p + 9 Collect the terms in -350*c**3 + 0*c - 9466 + 11262*c**2 + 0*c + 9466 - 11263*c**2. -350*c**3 - c**2 Collect the terms in -187*u**2 + 625*u - 625*u - 217 + 217. -187*u**2 Collect the terms in -18759*i - 3847*i - 12749*i. -35355*i Collect the terms in -1 - 5220*n - 2 + 3 - 379*n. -5599*n Collect the terms in 2 - 2498*l - 992*l - 1728*l - 6*l + 690*l. -4534*l + 2 Collect the terms in -60 - 49 + 260 + 15*r - 58 - 49 - 43. 15*r + 1 Collect the terms in -1987989*y**2 - 122*y + 233*y - 111*y + 1987987*y**2. -2*y**2 Collect the terms in -5142*a + 2863*a + 1 + 2300*a. 21*a + 1 Collect the terms in 2523*f + 2548*f + 2524*f - 12561*f + 2547*f + 2500*f. 81*f Collect the terms in -3875*r + 9 + 33 - 42. -3875*r Collect the terms in 50*n + 7*n - 34*n - 15*n - 39*n. -31*n Collect the terms in -6519*w + 19556*w - 6517*w - 38*w**2 - 6520*w - 13*w**2. -51*w**2 Collect the terms in -24844 + 74490 - 24847 - 24857 - 2*n. -2*n - 58 Collect the terms in 6593354 + 0*t - 2*t + 0*t. -2*t + 6593354 Collect the terms in 200070*p**2 - 100005*p**2 - 100087*p**2. -22*p**2 Collect the terms in 31*r**3 - 217*r**3 + 2477853312*r**2 - 2477853312*r**2. -186*r**3 Collect the terms in 14*b - 1348*b**2 + 1815*b**2 - 50*b - 928*b**2. -461*b**2 - 36*b Collect the terms in -661156 - 2*q + 6*q + 21*q. 25*q - 661156 Collect the terms in -2*b**3 - 12*b + 19*b - 4376 + 0*b**3 - 7*b. -2*b**3 - 4376 Collect the terms in -328 + 996 - 135*q**2 - 338 - 330. -135*q**2 Collect the terms in -12151738*t + 7 - 3 + t**2 + 12151720*t - 4. t**2 - 18*t Collect the terms in i**3 + i**3 + 3*i**3 + 24562907. 5*i**3 + 24562907 Collect the terms in 79 + 4*b**3 + 61 + 62 - 377*b**2 - 202. 4*b**3 - 377*b**2 Collect the terms in -140 - 77*b - 400 + 76*b. -b - 540 Collect the terms in -12*k**2 - 18*k**2 + 11*k**2 + 22*k**2 - 7*k**2 - 13*k**2 + 19*k**2. 2*k**2 Collect the terms in -16 + 1 - 2423*w**2 + 1545*w**2. -878*w**2 - 15 Collect the terms in -2841729*h + 42 + 10806500*h - 42. 7964771*h Collect the terms in -4*j**3 - 122*j - 1012*j + 5*j**3 + 2 - 4. j**3 - 1134*j - 2 Collect the terms in 359*o - 122*o - 152 - 111*o - 121*o + 2*o**2. 2*o**2 + 5*o - 152 Collect the terms in -61 - 12838*m**3 + 143 - 82. -12838*m**3 Collect the terms in 3162*w + 6907*w - 2602*w - 945*w + 7657*w. 14179*w Collect the terms in 15052*c - 7134*c + 2037*c + 12332*c + 5119*c. 27406*c Collect the terms in 1 - 1 - 31*v**3 - 189*v**3 - 248*v**3 + 56*v**3. -412*v**3 Collect the terms in -205 + 583 - 205 + 24*i - 200. 24*i - 27 Collect the terms in -65*k - 62*k - 64*k + 306*k - 48*k - 70*k. -3*k Collect the terms in -761*o**3 + 0*o - 282*o**3 + 0*o - 824*o**3. -1867*o**3 Collect the terms in 4*k - 28*k + 5*k - 365 - 27*k. -46*k - 365 Collect the terms in -3968*r + 8002*r - 41 - 4032*r. 2*r - 41 Collect the terms in 32*j + 38*j + 11671 - 11671. 70*j Collect the terms in 20 + 26 - 60 + 3252*u**2 + 14. 3252*u**2 Collect the terms in 4*y**2 + 113578*y - 605031*y - 15393*y - 641220*y. 4*y**2 - 1148066*y Collect the terms in 93*y**2 - 132*y**3 + 24*y - 86*y + 22*y + 18*y + 20*y. -132*y**3 + 93*y**2 - 2*y Collect the terms in 571688*w**2 - 225840*w**2 - 345846*w**2. 2*w**2 Collect the terms in -61189*j**2 + 28985 - 28985 + 61194*j**2. 5*j**2 Collect the terms in 3865129*l**3 - 7728288*l**3 + 3863160*l**3. l**3 Collect the terms in 723*h + 5891*h**3 - 723*h - 6661*h**3. -770*h**3 Collect the terms in -58 - 216*x - 291*x - 69 + 60*x. -447*x - 127 Collect the terms in -508*f + 2*f**3 + 151*f + 10*f**3 + 3*f**3 + 178*f + 176*f. 15*f**3 - 3*f Collect the terms in -11886 - 5*r - 11423 - 11425 + 34734 + 31*r. 26*r Collect the terms in 69*o + 66*o - 187*o - 248*o. -300*o Collect the terms in 2*o**3 - o**3 + 7904*o - 15455*o + 7917*o. o**3 + 366*o Collect the terms in 28 + 174*t**2 - 1 - 67*t**2 - 69*t**2 + 77 - 36*t**2. 2*t**2 + 104 Collect the terms in -13878*a - 15946*a - 1646*a - 7817*a. -39287*a Collect the terms in 211498*i**2 - 52873*i**2 - 52868*i**2 - 52869*i**2 - 52868*i**2. 20*i**2 Collect the terms in 72*q - 213*q + 67*q - 1121471*q**2 + 74*q + 1121467*q**2. -4*q**2 Collect the terms in -21 - 7 - 918831*b**2 + 28. -918831*b**2 Collect the terms in -54018166*d**2 + 108036348*d**2 - 54018168*d**2. 14*d**2 Collect the terms in -113 + 6883*r**3 - 6882*r**3 - 138 + 125 + 126. r**3 Collect the terms in 3714 + 13*p - 25*p + 1558 + 13*p. p + 5272 Collect the terms in -618*w - 56 - 616*w + 49 + 7 + 1239*w. 5*w Collect the terms in 3*m - 1836*m**2 - 843*m**2 - 192 + 193. -2679*m**2 + 3*m + 1 Collect the terms in -y**2 + 3*y + 2*y**3 + 61 + 27 - 15 - y**2. 2*y**3 - 2*y**2 + 3*y + 73 Collect the terms in -40*m - 61*m - 21*m + 140*m - 90*m. -72*m Collect the terms in -263*i**2 - 15127*i**3 - 328266*i**3 + 263*i**2. -343393*i**3 Collect the terms in 1838*b - 383*b + 642*b + 1099*b - 444*b. 2752*b Collect the terms in -230*y - 211*y - 195*y + 50*y**3 + 638*y - 6*y**3. 44*y**3 + 2*y Collect the terms in -9*k**2 - 289921*k - 289923*k + 1449623*k - 289927*k - 289926*k - 289924*k. -9*k**2 + 2*k Collect the terms in -18*c + 137*c**2 - 13*c**2 - 33*c**2 - 33*c**2 - 34*c**2 - 30*c**2. -6*c**2 - 18*c Collect the terms in 2802*o**3 - 10817*o**2 - 24*o**3 + 10816*o**2. 2778*o**3 - o**2 Collect the terms in -3687*a**2 - 6 + 1235*a**2 + 1226*a**2 + 1233*a**2 + 5. 7*a**2 - 1 Collect the terms in -28 - 3400730*l**3 + 3400267*l**3 + 28. -463*l**3 Collect the terms in 3657*s - 87083177 + 87083177. 3657*s Collect the terms in 525 + 691 + 10*t - 1172. 10*t + 44 Collect the terms in 9*h**2 - 8*h**2 + h**2 - 2*h + 7*h + 113 - h**2. h**2 + 5*h + 113 Collect the terms in -44 - 267*v**2 - 8*v**3 + 86 - 42 + 570*v**2 - 303*v**2. -8*v**3 Collect the terms in -387 + 109 + 278 - 93*y**2. -93*y**2 Collect the terms in 156 - 42 - 1103549*o**2 + 38 + 1103540*o**2 + 245. -9*o**2 + 397 Collect the terms in 3126740*g + 1991785*g - 1766698*g. 3351827*g Collect the terms in -3230*x**2 + 10519*x**2 - 3645*x**2 - 3635*x**2. 9*x**2 Collect the terms in -6*d - 316*d + 678*d - 338*d. 18*d Collect the terms in 12 + 0*d**3 - d - 2*d**3 - 14*d - 7*d**3 + 19*d**3. 10*d**3 - 15*d + 12 Collect the terms in -11*y + 10*y + 68688 + 279502. -y + 348190 Co
{ "pile_set_name": "DM Mathematics" }
6/16. Is p > -12? True Let k = -208.95 + -570.05. Which is bigger: 2 or k? 2 Let c = 5912 + -5914.8. Which is smaller: 2.7 or c? c Let k = 143 + -121. Suppose 1 = 5*i - 4*w, -3*w - 11 = i - w. Let a be (-7)/3*3*i. Which is smaller: k or a? a Let b = -0.757 + 1.667. Let y = 3.3 + -3.2. Is b at least as big as y? True Let f = -0.33 + 0.79. Let g = f + -0.36. Let u = g + -3.1. Which is greater: u or -1/2? -1/2 Let w = 27.8 - 2.7. Let o = w + -23. Is 0.5 less than o? True Suppose -7142 = 50*x - 77092. Which is bigger: x or 1397? x Let a(i) = -i**2 + 10*i - 8. Suppose 17 = s + 10. Let k be a(s). Suppose -2*w - 8 = -2*b, 5*w = b - 3*b - k. Is -2/69 != b? True Let x = 29827/5 + -5955. Which is greater: x or 29? 29 Suppose 4*q = u + 500, 3*q + 3*u = 2*u + 368. Let y = q + -116. Let d be (2/(-3))/(2/(-21)). Is y > d? True Let q be -5 - (0 - (0 - -5)). Let m = -48 + 47. Are q and m equal? False Let h = -48 - -96. Let k = h + -100. Let c = 52.2 + k. Is c smaller than 1.3? True Let z(r) = r**3 + 4*r**2 + 2*r - 182. Let v be z(0). Which is greater: v or -178? -178 Let t = 14611 - 146087/10. Is 3/19 smaller than t? True Let y(f) = -3*f**2 + 17*f - 116. Let o be y(7). Let a be (o/96)/(6/(-4)). Which is smaller: 38 or a? a Let y = -89 - -53. Let u = y + 25. Let q = u - -16. Is q bigger than 2? True Let a(m) = -3*m + 72. Let q be a(22). Suppose q*w + 3*y - 16 = w, 0 = 5*w + y - 22. Let u = -2101/4 + 529. Which is bigger: u or w? w Let p = -40519297/56710 + 1/28355. Do -715 and p have the same value? False Let m = -33.9651 - 0.0349. Which is greater: 99 or m? 99 Let s(g) = -3 + 13*g**2 + 2 + 0 - g**3 + 14*g. Let w be s(14). Let t(k) = k + 10. Let y be t(-6). Which is smaller: y or w? w Suppose -2*f - 4*j - 4 = -3*f, 4*f + j = -1. Suppose -44*l + 47*l = f. Suppose l = -7*i - 0*i. Is 2/127 < i? False Let d = -7575 - -7574.757. Is -0.9 at most as big as d? True Let n be (-2)/(-5) + 14 + 2196/(-90). Which is smaller: n or 18? n Let f = 6705.1 - 6678. Let t = -22.7 - -13.6. Let b = f + t. Which is greater: -0.1 or b? b Let c be 2 - 8 - ((-7965)/(-7956) - 7). Are c and 0 nonequal? True Let r = 38883/7 - 37211066/6699. Which is smaller: r or -1? -1 Let g = -7090802/14517 - -4396/9. Is -1 less than or equal to g? True Let l be ((-5)/(-20)*-4)/((-3)/579). Which is bigger: l or 2? l Let k = -5872 + 6637. Is k < 6890/9? True Let s = 752 + -751. Let j be 0/((4 - 1)/(-3)). Suppose j*k = -5*k + 10. Is k less than or equal to s? False Let b(p) be the third derivative of -p**6/120 - p**5/10 + 47*p**4/24 + 25*p**3/6 + p**2 + 35*p. Let w be b(-12). Do 325 and w have the same value? True Suppose 6 = 2*a - 10. Let m(y) = 7*y**3 + 4*y**2 - 2*y. Let l be 2/(-12)*(-30 - -24). Let v be m(l). Is a >= v? False Suppose 15*u = 14*u + 7*n - 297, 3*u + 987 = 5*n. Is -345 greater than u? False Let t(v) = -2006*v**2 - 8*v - 14. Let r be t(2). Is -8054 less than or equal to r? True Let v = 29906 + -30287. Which is smaller: -402 or v? -402 Suppose n = 6*n - 35. Let x(u) = -u**3 + 7*u**2 + 4*u - 23. Let a be x(n). Suppose -3*o - w - 1 = 0, a*w = o - 0*o - 5. Is 2/9 > o? True Let t = -4931 + 4902. Which is bigger: -22 or t? -22 Let i = -3080 + 2037. Which is greater: 1/5 or i? 1/5 Let a = -650 + 1822. Which is greater: 1175 or a? 1175 Let t = -3.7471 - -4.0471. Let g = -4.1 - -0.1. Let f = g - -3.99. Which is bigger: t or f? t Let q(b) = -688*b - 2087. Let v be q(0). Which is smaller: v or -2088? -2088 Let q = -7856 + 7860.17. Let d = 1.2 + -1.3. Is d <= q? True Let p be 12/(-5)*60/(-24). Suppose -8 = l - 3*y, 5*y - 50 = -p*l + 11*l. Is -14 at least l? False Suppose 7 = 4*p - 25. Suppose 2*t - 971 = -3*d, -26*d + 24*d = -t + 475. Let m = t - 471. Which is smaller: p or m? p Let n(a) = -3*a**3 + 24*a**2 - 38*a + 13. Let u be n(6). Let x(z) = -3*z + 1. Let o be x(1). Let p be o/2 + (-19)/(-9). Which is smaller: p or u? u Let x = -123.741 + 122.8. Let w = -2.081 + x. Let b = w - -0.022. Does -2/7 = b? False Let x = -2070012/59 + 35084. Which is smaller: 0 or x? x Let c be ((-6)/(-4))/(60/(-80)). Let z be (-215)/774*1/c. Is -1 at least as big as z? False Let f(x) = -x**3 + 14*x**2 - 9*x - 4. Let v be 10/(-4) - (-9)/6 - -14. Let i be f(v). Let z = -49 + i. Are -1/4 and z non-equal? True Let n = 67 - 62. Suppose 4*r - 5*x + 96 = 0, -4*x = -r + n*r + 60. Let j = -14 - r. Which is smaller: j or -1? -1 Let l = 0.158 - 0.273. Let u = 0.315 + l. Which is bigger: u or 45? 45 Let u be (-378)/162*(19 - -2). Which is smaller: -43 or u? u Suppose n + 4116 = 4*u, 6*n = 3*u - 14924 - 9583. Is -4079 bigger than n? True Let u = -485 - -673. Let s = u + -189. Which is smaller: -4/41 or s? s Let j be (1 + -5332)/(-1)*20/(-10). Let u be j/(-3) + 1*-2. Let c be u/(-594) + 5 - 2/(-2). Is 1 bigger than c? True Suppose 131 = -10*s - 39. Let u be (-2)/s - (-11)/561*6. Which is bigger: 1/2 or u? 1/2 Let v = -6091 + 6093. Suppose k = -k - 84. Let b be (3/k)/1*-20. Is b > v? False Let i(f) = f**2 + 3*f + 15. Let z be i(0). Suppose 65 = -5*w + z. Which is bigger: w or -4? -4 Suppose -5*p = 4*k - 1965, -27*k + 25*k + 399 = p. Let i = p - 702. Which is bigger: i or -312? -312 Let o be ((-136)/(-35) - 2*2)/((-90)/(-2700)). Let a be 3*2*(-2)/4. Which is smaller: a or o? o Let i(p) = 29*p + 218. Let x be i(9). Let l = 480 - x. Which is smaller: l or 2/91? 2/91 Suppose 0 = 3*l + 17*f - 3*f + 163, -l + 3*f = 62. Is l at least as big as -1/17? False Let i be 7 + (-5)/((-15)/(-9)). Suppose 3*l = i*l + 6. Let s be (2/(-2))/(6 - (3 + l)). Which is smaller: 2/7 or s? s Let b = 982 + -977. Suppose z - 112 = -z - 2*v, 3*z + b*v - 176 = 0. Are 52 and z nonequal? False Let r(k) be the third derivative of k**5/60 + 3*k**4/8 - k**3/6 + 11*k**2. Let m be r(-12). Suppose -m*l + 25 = -30*l. Is 2 smaller than l? True Let j = 1313 - 1312.8. Do 0.75 and j have the same value? False Suppose -2*m + 1165 = 3*s, -m + 2*m = 3*s + 578. Let j be (-4057)/(-21)*(1 + -4). Let n = j + m. Is n > 1? True Suppose -2*t = -3*i + 20, 0 = -2*i + 2*t + 3*t + 28. Let g be -2 + i + 3 + 40. Suppose 0 = 5*k - 20 + g. Is k less than or equal to -5? True Suppose 0 = -96*q + 95*q - 3*l + 25, 0 = 4*q + l - 89. Suppose 62*d - q = 40*d. Which is greater: d or -2? d Suppose 4*l + 758 = -5*i, i - 2*l + 166 = -l. Is i > -168? True Let s be 5 + 2*(-358)/92. Let o = -4114/1495 - s. Is 1 less than or equal to o? False Let o be 266/7*-1 - -8. Let a be (65/70)/13*16/o. Which is greater: -1 or a? a Let z be ((-8)/(-10))/((-1)/(-4) - (-2379)/(-780)). Which is greater: 130 or z? 130 Suppose 5*h + 1 = -4*y, h = 2*h + 3*y + 9. Suppose -6*u - 4110 + 1482 = 0. Let w = -430 - u. Which is bigger: w or h? w Let d(i) = -3*i + 62. Let k be d(16). Let o be -3 - (8/k + 158/42). Which is smaller: o or -6? o Let f = 171 - 265. Let v = 103 + f. Which is smaller: v or -3/4? -3/4 Let y = -413 - -385. Let x = -29.587 - -0.187. Let u = x - y. Which is smaller: 3 or u? u Let n = -211 + 154. Let z be (1/(-2))/(-1 + (-33)/(-22)). Is z equal to n? False Let i(y) = y**2 + 8*y + 128. Let x be i(0). Suppose 4*r + r = -5*a + 650, 505 = 4*a - r. Which is smaller: x or a? a Let t = 4/9847 + -19706/29541. Is -3/20 >= t? True Suppose -3*r = -2*d + d - 13, -22 = 2*d - 5*r. Let m be (130/(-260))/(44/16). Which is smaller: d or m? d Let g be (((-1458)/(-15))/1)/(391/(-1275)*-5). Which is smaller: 62 or g? 62 Let k be -4*(-13 - 729/(-36)). Which is smaller: -22 or k? k Let p be -2 + 9 + -7 + (4013 - 4/2). Is 4012 less than or equal to p? False Suppose -29*l + 15586 - 1985 = 0. Let y = l - 1406/3. Is 0.003 at least y? False Let x = -119.7 + 109.7. Suppose -3*k = y + 11, -3*y - 12 - 1 = 5*k. Which is bigger: k or x? k Suppose 424 = 4*l + 4*f - 280, 2*l - 352 = 2*f. Which is smaller: 173 or l? 173 Let c = -12234 - -12234. Is c at most 2/7163? True Suppose -k = d - 7 + 539, 0 = 2*k - 5*d + 1050. Is k > -524? False Let y = 5342 + -5351. Let p(f) be the third derivative of f**6/120 + f**5/12 + 5*f**4/24 - 2*f**3/3 + f**2. Let s be p(-4). Is y less than s? True Suppose -56 = -6*w - 8. Suppose -5*f = -48 + w. Let h be 9/2*(1 + 1) + -2. Which is greater: f or h? f Let d(g) = g**3 + 98*g**2 + 195*g + 289. Let m be d(-96). Which is smaller: 101/71 or m? m Suppose -g = p - 49, -4*p + 558 - 318 = 5*g. Which is greater: 16 or g? g L
{ "pile_set_name": "DM Mathematics" }
(b) -4/15 (c) 18/11 (d) 1/3 (e) -22/7 d What is the second biggest value in 7.8, -0.53, 3/2? 3/2 Which is the third smallest value? (a) -0.4 (b) -108.8 (c) -4 (d) 1 (e) 4 (f) -3 f What is the fourth smallest value in -1/250, 2/5, -1/5, -2/5, -59.5? -1/250 Which is the fourth smallest value? (a) 0.09 (b) -1/2 (c) 0.2 (d) -2159 c What is the fourth biggest value in 3, 0.5, -6, 0.1, 0.4, 28? 0.4 Which is the third smallest value? (a) 2.03 (b) -4 (c) 99 (d) -2 a What is the third smallest value in -73.4, 2/105, 2? 2 Which is the second smallest value? (a) 0.5 (b) -112943/2 (c) 0.05 c What is the fourth biggest value in -1/3, 2, -88, -77? -88 Which is the third biggest value? (a) 10 (b) -1315 (c) -2/5 b Which is the second biggest value? (a) -23.391 (b) -2/7 (c) -2 c What is the second biggest value in 0.2, 9, 3/2, -4.8, -6? 3/2 Which is the second biggest value? (a) 0.1 (b) -7 (c) -5810 b Which is the second biggest value? (a) 4494 (b) -1 (c) 28 (d) 4 c What is the third smallest value in 5, -3, -99/5, 6? 5 Which is the smallest value? (a) 3/5 (b) 0.04 (c) -248 (d) 0.4 c What is the smallest value in -7/9, 2.2, -2/7, -2? -2 What is the fourth biggest value in -27457, -0.3, -2, 4, -0.1? -2 What is the second smallest value in 2, -42, -1/7, 11? -1/7 Which is the smallest value? (a) 23 (b) 4 (c) -5 (d) 7/4 (e) 14 (f) 3 c What is the second biggest value in 1.1, -47, -75/2? -75/2 Which is the second smallest value? (a) -10189 (b) -1/5 (c) 2/5 (d) -0.01 b Which is the sixth biggest value? (a) -550 (b) 3 (c) -2/9 (d) 2/7 (e) 5 (f) -0.3 a Which is the fourth smallest value? (a) 3 (b) 0 (c) -3 (d) 0.3 (e) 1.8 e Which is the third biggest value? (a) 4583 (b) 0.5 (c) 5 (d) 0 b Which is the second biggest value? (a) -0.5 (b) 28 (c) -2 (d) 0.464 (e) 1/3 d Which is the third biggest value? (a) 9.84 (b) -0.5 (c) 1/7 (d) -11 b What is the second smallest value in 9, -168, 28? 9 What is the biggest value in -5, -3.22054, -3? -3 What is the biggest value in 0.3, -10, -7, -1/10, -5/6? 0.3 What is the smallest value in 6, -5, 1, -0.694? -5 Which is the second smallest value? (a) 3 (b) -0.4 (c) 43162 a What is the fourth biggest value in 2, 46/39, 2/3, -5, -0.5? -0.5 What is the smallest value in 0, -631, -3.3? -631 Which is the sixth smallest value? (a) -2 (b) -8 (c) 1 (d) -0.27 (e) 19 (f) -0.1 e What is the smallest value in -4, -5, -68, -167, 2, 5? -167 Which is the second smallest value? (a) 3 (b) -12 (c) -7 (d) 5/24 c What is the third biggest value in 0.14, -1/4, 64, -3, -7? -1/4 What is the third smallest value in 0.1, 3/7, -125, -0.05? 0.1 What is the second smallest value in 0.4, 0, 0.2, 4, 1/17, 44? 1/17 Which is the third smallest value? (a) 0.127 (b) 217 (c) 1.3 b What is the fourth smallest value in 2, -264, 4/3, 0, -28/9? 4/3 What is the fourth biggest value in 37, -3/20, 0.2, 2? -3/20 Which is the second smallest value? (a) -6 (b) 2 (c) 4 (d) -4 (e) 0.4 (f) 12 d Which is the smallest value? (a) 274 (b) 5 (c) -0.039 (d) 4 c What is the third smallest value in -8, 3, 0.03, -4, 0.4? 0.03 Which is the second biggest value? (a) -369 (b) -0.1 (c) 15 (d) 4/9 d What is the third biggest value in -0.3, 1, 2/5, 1.55676? 2/5 What is the biggest value in 3/4, -0.1057, 5? 5 Which is the smallest value? (a) -0.19 (b) 4 (c) -2/3 (d) -980 d What is the biggest value in -451.8, 10, 0.4? 10 Which is the third smallest value? (a) 151 (b) -85 (c) -1 a Which is the fourth biggest value? (a) 4 (b) 5 (c) -0.5 (d) -0.21105 c Which is the second smallest value? (a) 1 (b) -0.1 (c) -51 (d) -6.2 d What is the second smallest value in -5, 3, -0.5, -3, 412? -3 Which is the fourth smallest value? (a) 4 (b) 3 (c) 10/41 (d) 0 (e) -7/5 b Which is the fourth biggest value? (a) 90 (b) -3/2 (c) -1 (d) 24/5 (e) 1/2 c Which is the second biggest value? (a) 4 (b) -1 (c) -252 b What is the fourth smallest value in 2/509, -0.5, -11, 39? 39 What is the fifth biggest value in 1, 2, 0.1, -2.1, 3? -2.1 What is the biggest value in 0, 8630, -118/5, -5? 8630 Which is the third biggest value? (a) 0.2 (b) -1237 (c) 0.5 (d) -55 d What is the third biggest value in -33, -12, -5, -7, 2/9? -7 What is the second biggest value in -19, -0.5, 12650? -0.5 What is the second biggest value in -3/2, 4.4, 0.105? 0.105 What is the fourth biggest value in 1/394, 160, -1/6, -4? -4 What is the biggest value in -3.19, 3, 4/5? 3 What is the third biggest value in 0.2, -0.1, -26, -71, -5? -5 What is the smallest value in 693, 3/4, -74? -74 What is the smallest value in 249, 3/4, -0.163? -0.163 Which is the third smallest value? (a) 4/9 (b) -411 (c) 5.5 (d) -3 a What is the fourth biggest value in -0.4, 25, -18, 17? -18 What is the smallest value in -5, -1, -34, -32, -0.2? -34 Which is the smallest value? (a) 2 (b) 19 (c) -51 (d) -1 c Which is the second smallest value? (a) 1/7384 (b) 1 (c) -4 (d) -3 d What is the third biggest value in 8, 1.4, -0.0034? -0.0034 What is the third biggest value in 0.007, 15, 2/7, -0.2? 0.007 What is the biggest value in -87, -34, 0.5, -2, -3, -1? 0.5 Which is the fourth biggest value? (a) -417 (b) 0 (c) 2 (d) -6/5 (e) -2/5 d What is the second biggest value in 0.2, -2/11, -800, 0, -5? 0 What is the biggest value in 5, 14, -1/342? 14 Which is the fourth smallest value? (a) 0.04 (b) 30 (c) -9 (d) -0.49 b What is the second biggest value in 0.4, -15, -0.5, 0.5, -144, -0.2? 0.4 Which is the second smallest value? (a) 30 (b) -14 (c) -5 (d) 2/897 (e) 0.3 (f) 2 c Which is the second biggest value? (a) 0.3 (b) -219 (c) -47 c What is the biggest value in 1, 1/8992, -0.06? 1 What is the biggest value in -312/5, 2/493, 0? 2/493 Which is the fourth biggest value? (a) -0.5 (b) 7/3 (c) 7 (d) -4 d Which is the third biggest value? (a) 5 (b) -1/8 (c) -0.4 (d) -6963 (e) -1/2 c Which is the sixth smallest value? (a) 1 (b) -7 (c) -23 (d) 4 (e) -0.5 (f) 93 f What is the sixth smallest value in 8, -13, 2, 5, 3, 2/5? 8 Which is the smallest value? (a) -3/43 (b) -3/5 (c) 2.3 (d) -0.1 b Which is the second smallest value? (a) -3 (b) 3/5 (c) -0.3 (d) -0.1 (e) -41 (f) -0.002 a What is the second biggest value in 2, 0.22, 24, 0.1? 2 What is the smallest value in -0.6, 2, 1/10, 210.4? -0.6 What is the biggest value in -1, -5, 0.193, 0.31? 0.31 What is the second smallest value in -2/5639, 2, 8? 2 What is the second biggest value in -25, 5/3, -3/7, -0.4, 20/3? 5/3 What is the second biggest value in 2422, 2, -27/4? 2 What is the fourth smallest value in 4386, 0.5, -1, 1/32? 4386 What is the third smallest value in -709, 3, 1, 2/9, 1/6? 2/9 What is the second smallest value in -366, -496, 1? -366 What is the third biggest value in -1, -0.3, 1/11, -0.2, -0.41779, 3/8? -0.2 Which is the second smallest value? (a) -0.04 (b) -0.1 (c) -1/4 (d) 0.0029 (e) -107 c Which is the second smallest value? (a) -5 (b) -1 (c) -1/6 (d) -24 a What is the fifth smallest value in -0.051, -1211, -5, 4, 5, -0.4? 4 Which is the second biggest value? (a) 1.2 (b) -15 (c) -13/9 c What is the third smallest value in -4, 4672, 3/8, -2/7, 2/13? 2/13 Which is the third smallest value? (a) 2/11 (b) -0.34 (c) -4 (d) -1/2 (e) 92 b What is the fourth biggest value in -1/6, 3.3, 16/5, -0.3, -0.35? -0.3 What is the fourth smallest value in -311, -0.4, -9, -3/7? -0.4 What is the third biggest value in 0.1, -5, -4, -3, 34.322? -3 Which is the second biggest value? (a) -4 (b) 1/6 (c) 0.4 (d) 17/3 (e) 1 (f) 0.5 e Which is the fourth smallest value? (a) 17 (b) 1 (c) 0.09 (d) -4 (e) -6 b Which is the second smallest value? (a) -180 (b) 0.1 (c) 2 (d) -19 d What is the fifth biggest value in 0.043, 2, -0.1, 0.1, -0.13? -0.13 Which is the fifth biggest value? (a) -12.5 (b) 2/3 (c) 0.8 (d) -2 (e) 2/9 (f) -9 f Which is the second biggest value? (a) 1/2 (b) 0.1 (c) -2 (d) -57 (e) -0.06 b What is the fourth biggest value in 80, -8.5, 0.1, 13? -8.5 What is the second smallest value in -175/2, -4/5, 75/28? -4/5 Which is the third biggest value? (a) 65304 (b) -4 (c) 0.05 b Which is the biggest value? (a) -35 (b) -1/4 (c) -2/5 (d) 2
{ "pile_set_name": "DM Mathematics" }