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492403. 5.0892403 Sum 1225 and 4224.44. 5449.44 1602109746 - -1 1602109747 What is the distance between 113960.3 and -9? 113969.3 What is -6.3815 - 64.719? -71.1005 What is -1.4881 + 15.24? 13.7519 Total of -23.897531 and 132. 108.102469 What is the distance between -543963.191 and -0.1? 543963.091 What is the distance between -0.455 and -596930? 596929.545 Add together 8.2142677 and 2. 10.2142677 81 - 150046509 -150046428 Total of -34132488 and -3. -34132491 Calculate 1838 - -12173. 14011 What is -300709.324 - 360? -301069.324 -36360 - -649923 613563 Put together 583653 and -12.35. 583640.65 Add 0.198 and 5054.8157. 5055.0137 What is 4.29 minus 852.537? -848.247 Work out -264.904 - 0.58. -265.484 Add together -1.14 and -0.159820549. -1.299820549 What is 516893164 less than 0.5? -516893163.5 Subtract -6 from -106.15226004. -100.15226004 Subtract 12455719 from 0.02. -12455718.98 Work out -734513 - 4. -734517 What is 161.084 + -372687? -372525.916 Subtract -124 from 98344.3952. 98468.3952 Add 0.5 and 337624671. 337624671.5 What is 0.00035 take away -10.541? 10.54135 Work out -40485735 - -0.14. -40485734.86 Work out 12 - -252287.1. 252299.1 Work out -145361 - -3489. -141872 What is -0.6 + 0.038303605? -0.561696395 Total of -13411 and 371612. 358201 Calculate -787618 - -75999. -711619 Put together 1388277 and -0.31. 1388276.69 Calculate 0.3 + 94.43319. 94.73319 What is -2188339 plus -285? -2188624 What is 4.578901501 plus -4? 0.578901501 What is -980047094 take away 4? -980047098 Add -346.322 and 16145. 15798.678 Calculate -0.24 - 1210594. -1210594.24 Calculate 128326 + -58704. 69622 What is -220 + 2.159234? -217.840766 What is -71 - 926986? -927057 What is -0.62 less than -3436831.1? -3436830.48 Subtract 3164 from 21.128. -3142.872 Put together -0.1 and -146053.945. -146054.045 What is the difference between -1.2 and -3489.81? 3488.61 Work out -1960502 + 67. -1960435 What is the difference between -4308.6 and -122? 4186.6 Calculate -24.9337328 - 0.057. -24.9907328 Work out 22987 + -17915. 5072 Work out -845.09213 + -6. -851.09213 What is -95.2 + -2042.3? -2137.5 What is 15.24 take away -173966? 173981.24 159 - -6292.5 6451.5 What is the distance between 41898.75 and -2? 41900.75 Subtract 0.53 from 2750.51822. 2749.98822 Total of 0.4 and -3713502. -3713501.6 Work out -1.8 - -111784.9. 111783.1 Add -0.0007095539 and -0.3. -0.3007095539 What is 20372678 + 1? 20372679 Add together -4211705 and 20. -4211685 -27797+-1009081 -1036878 What is 15 minus -368934629? 368934644 What is 27.859905 plus -0.08? 27.779905 Calculate 72.8483 + -11694. -11621.1517 Work out -20702.1 + 0.38. -20701.72 What is 0.3 less than 61653086.3? 61653086 32665.347 - 0.4 32664.947 Add together -0.06087 and -0.0726. -0.13347 Total of 0.4 and 95776221. 95776221.4 Add together 0.3166615 and -8.299. -7.9823385 9441 + 1658 11099 23623+31625 55248 Work out 5.48 - -0.86055. 6.34055 Add 5.153854 and 404. 409.153854 Add -168369 and 181723. 13354 What is 66834 less than -0.21113? -66834.21113 What is the distance between -0.9 and -112508? 112507.1 -319729.26 + 1 -319728.26 What is -0.08 + 25173611.1? 25173611.02 Calculate 36708 + -0.035105. 36707.964895 What is -5 less than 2804992? 2804997 What is -32.08 minus 0.00315? -32.08315 Calculate 188 + -468181. -467993 Add together 75795605 and -159. 75795446 Work out 16932 - 0.1035. 16931.8965 What is the distance between 25 and 44775435? 44775410 What is -677 less than 0.396751? 677.396751 -0.13542 + -0.0239 -0.15932 Work out -0.0526 + -5.4889. -5.5415 What is 0.2 plus 43771666? 43771666.2 Add 153385852 and -0.4. 153385851.6 What is 1.93 plus -2351.6361? -2349.7061 Add together -1979.6022471 and 2. -1977.6022471 What is -10914 take away -0.03832? -10913.96168 Work out 574504 + -395. 574109 What is the distance between 3.591 and -0.27371? 3.86471 Add together -94 and 428.284472. 334.284472 What is 0.5795616852 + -0.15? 0.4295616852 Put together 2183 and 1119876. 1122059 -0.05248425431+-0.04 -0.09248425431 What is 5 less than -0.0517187? -5.0517187 What is 212970865.97 less than -0.3? -212970866.27 What is the distance between 6228.281 and -3221? 9449.281 What is -234910 take away -41667? -193243 Subtract 5215903 from 25. -5215878 Total of 154 and -2394.969. -2240.969 Add together -0.37 and 15339031. 15339030.63 Add 5 and 23226998. 23227003 What is -27518888497 plus 3? -27518888494 What is 1331.9995 - 50? 1281.9995 -203658967 - 0.1 -203658967.1 What is 26125444 less than -0.178? -26125444.178 What is the distance between 0 and 0.050569775? 0.050569775 Work out -0.3 + -80.80171138. -81.10171138 What is -21072 minus -59.96889? -21012.03111 What is 1 - 1402009200? -1402009199 What is 0.0373457 plus 0.96? 0.9973457 Total of -9844 and 1709. -8135 Add together -6 and 29655295. 29655289 What is 4 less than 34.4573? 30.4573 What is -7749.1 less than 2.4808? 7751.5808 What is the distance between 135303476031 and -0.4? 135303476031.4 What is -2264 take away -31.90215? -2232.09785 Add together 31527062.41 and 0. 31527062.41 What is the difference between -25 and -1025433? 1025408 What is -107054 plus 31? -107023 11.3807+-2204 -2192.6193 What is -112516.23 less than 0.015? 112516.245 What is -7280 minus 97929? -105209 What is -951.97 minus 4821? -5772.97 What is 29.575 less than 1281826? 1281796.425 -10.61161 + 8 -2.61161 What is 0.24 plus -326.6088341? -326.3688341 Total of 180862529 and -2. 180862527 Subtract 334.3569 from -278. -612.3569 Add together 55021.92 and 503. 55524.92 What is -211000674 - -8? -211000666 Work out 0.008374 + -0.0524. -0.044026 What is 1 minus -1.9561133262? 2.9561133262 What is -797421 minus 1069? -798490 What is 30 minus -61110441? 61110471 What is -361957 take away -0.4? -361956.6 Put together -3 and -707.352495. -710.352495 What is -57.36916 - 1.71? -59.07916 Work out -1087 - 30610.4. -31697.4 5 - 6662120.54 -6662115.54 Subtract 369337 from 1.48. -369335.52 What is -26483957 take away 0? -26483957 Calculate -32.7 + 170282. 170249.3 Add -1.1 and -292936177. -292936178.1 What is 97213 less than -16388? -113601 Add -636318.1 and 0.07941. -636318.02059 What is 1 less than -2295812609? -2295812610 What is the difference between -238580.8 and -10? 238570.8 What is 16418280 minus 277? 16418003 What is -22 minus 0.12393952? -22.12393952 What is the difference between -41.6 and 33030? 33071.6 What is 0.4 less than -92640272.5? -92640272.9 What is 4395163112 minus -0.05? 4395163112.05 What is -0.2 + 525980749? 525980748.8 Sum -2 and 16.493715928. 14.493715928 Calculate -1006 + 953087. 952081 What is 19965 plus -0.099? 19964.901 Calculate 612 - -148.81119. 760.81119 Work out -0.2 - 461.232631. -461.432631 Work out 9590.7889 - 0.015. 9590.7739 Add together -41137 and -875.82. -42012.82 What is the difference between 10145941 and -0.66? 10145941.66 1 - -6270134848 6270134849 Add 28 and 311038. 311066 Calculate -15575.2 + 1.26. -15573.94 Add 43 and 371109295. 371109338 Work out -531 - -7221.65. 6690.65 Subtract 65143 from -5989.1. -71132.1 What is -0.1 less than -2249482853? -2249482852.9 What is the distance between 2 and 80517663044? 80517663042 Work out 0 + -8755178. -8755178 What is the difference between -1.126 and -92419? 92417.874 -107 + 4702134 4702027 Add together -13 and -21.14783. -34.14783 What is the distance between 3760 and -0.108629? 3760.108629 What is 11.124 minus 0.249122? 10.874878 Work out -10.2219 - 214.747. -224.9689 What is -3 - -30905107? 30905104 What is 326.74133 plus -4? 322.74133 What is 313622858 less than 1.3? -313622856.7 What is 0.2 + -0.04191453? 0.15808547 Sum -245681.799 and -1. -245682.799 -0.17+-0.2962719 -0.4662719 Total of 0.2 and 11266948508. 11266948508.2 -302.12+-708 -1010.12 Total of -7.542 and 690075. 690067.458 Sum 4966703.072 and -1. 4966702.072 What is -45 + 21039236? 21039191 What is -0.033177 less than 1431.27? 1431.303177 -138544814+2 -138544812 What is -4.522 - 2.724? -7.246 176 + -5928417 -5928241 Calculate -3 + -12192904. -12192907 Put together -0.4 and -3388069.325. -3388069.725 Work out -1527.9 + -2271. -3798.9 Add -6.12267 and 0.9. -5.22267 What is 0.1 take away 34386700? -34386699.9 What is -0.024753 take away 0.00018? -0.024933 Calculate 19228 - 3.1925. 19224.8075 Add 8454666 and
{ "pile_set_name": "DM Mathematics" }
248 + 6/1031. Let s be 74*52 + -6 + 5. Let r = 34549/9 - s. What is the common denominator of r and z? 72 Let i = 404 - 13029/32. Let r = -1385/672 - i. Find the common denominator of 85/36 and r. 252 Calculate the common denominator of -41/4 and (790/112 + -7)/((-8)/(-42)). 32 Let m(p) = p**2 + 26*p + 34. Let b be m(-18). Let l = b - -132. Calculate the common denominator of l and 4/14 - (-17)/(-7). 7 Calculate the common denominator of 22*(-70)/300 + (-8)/10 and -157/180. 180 Suppose 5*j - 3*o = 59, 4*j - 2*o - 36 = j. What is the lowest common multiple of 52 and j? 260 Find the common denominator of (-1539)/2241*(-2 - (-10)/6) and -55/3. 249 What is the smallest common multiple of 120 and ((-376)/235)/(3/(-450))? 240 Let m be ((-4)/(-3))/(84/986). Let t be (-94)/(-18) + 2 + 0. Let p = t - m. Find the common denominator of -19/9 and p. 63 Suppose 0 = -4*h + 5 + 3. Suppose -2*c + h = -3*w + 2*c, w + 2*c - 16 = 0. Calculate the lowest common multiple of 14 and w. 42 Let q be 0/(-2 - (-6 + 2)). Suppose -4*o = v - 52, v = o - 3*v + 4. Let z = q + o. Calculate the lowest common multiple of z and 20. 60 Let z be (-18)/42 + (-14012)/168. Let v = z + 84. Find the common denominator of v and -3/8. 24 Let c = -5 + 19. Let o(d) = 10*d - 6. What is the smallest common multiple of o(2) and c? 14 Let g = -4/3979 + 2849008/43769. Let c = g - 14441/220. Find the common denominator of ((-2)/(-16))/(4/58) and c. 80 Let b be ((-208)/(-1105))/(18/(-200)). Let i = 7841/1530 + b. What is the common denominator of i and 41/21? 210 Let v be (1 + -67)*(-1)/3. Calculate the common denominator of 24 - v - 41/(-10) and -11/20. 20 Suppose -2*n + 3*m = 1084 + 1983, 2*n + 3077 = m. Let i = 3025/2 + n. What is the common denominator of 107/20 and i? 20 Let p = -7506 + 45139/6. Calculate the common denominator of 64/21 and p. 42 Let k(t) = 2*t**2 - 6*t - 2. Suppose -4*p = 5*h - 30, -5*h + 25 = 3*p - 0*h. What is the smallest common multiple of k(p) and 16? 144 Let n = 69 + -66. Suppose 7 = -z + n*x + 2*x, 4*z - 18 = -3*x. What is the least common multiple of z and 30? 30 Let o be 619/(-6)*2/4. Let a = o - -49. Calculate the common denominator of a and 55/14. 84 Calculate the common denominator of (-1)/6*2134/44 and 69/268. 804 Let s(r) = -34*r**2 + 140. Calculate the smallest common multiple of 238 and s(0). 2380 Let c = 21995011/192 + -114557. Find the common denominator of 133/72 and c. 576 Suppose 4*x = -k + 114, x - 2*k = 22 + 2. What is the least common multiple of 4 and x? 28 Let z = 10 + -7. Suppose 0 = -3*l + 28 + 2. What is the least common multiple of z and (11/(-2))/(l/4 + -3)? 33 Find the common denominator of -10/21 and (-8)/(-52) + (-4 - 31549/(-12012)). 924 Let g(a) = -13*a - 37. Let l be g(-3). Let c = 160763/14700 - 24/1225. What is the common denominator of 82/12*((-39)/(-24) - l) and c? 48 Suppose -3*d + 3*h = -13 + 31, -5*d - 3*h = 22. Let b be (-1420)/2*2/(-4). Find the common denominator of 83/2 and d/(-40) + b/(-200). 20 Find the common denominator of (-30 - -25) + 0 + 149/16 and -91/730. 5840 Suppose 11*p = 8*p - 26784. Let g = p - -241019/27. Calculate the common denominator of 55/18 and g. 54 Let m be (-9)/(-3) - (-1 - -1). Suppose -m*d = -2*y - 2*d + 56, -d - 30 = -y. Calculate the smallest common multiple of 1 and y. 26 Let l = 34390 - 928420/27. Let k = -518125/27 + 19192. Let u = k - l. What is the common denominator of u and -26/5? 45 Let m be 2/4 - 2/4. Suppose -2*x - 20 = -g, m = -3*x + 4*x. Suppose 5*l = 5*j - 30, -5*j - 5*l = -3*l - 44. What is the smallest common multiple of j and g? 40 Let m = -2280 - -31905/14. What is the common denominator of 53/44 and m? 308 Let u = 204 + -55. Let q = u - 146. Calculate the least common multiple of 30 and q. 30 Calculate the common denominator of (-12)/18*1 + (-514)/(-366) and -13/5. 305 Suppose -2*d + 2*t = -t + 4, -3*t = 5*d + 31. Let a = d - -9. Calculate the least common multiple of 2 - -2 - 12/(-1) and a. 16 What is the least common multiple of 5/(-10)*5*3344/(-55) and 152? 152 Let a = 361 - 343. Calculate the least common multiple of a and 5. 90 Let h = 3542 - 35389/10. Find the common denominator of (-229)/5267*(59/(-2) + 1) and h. 230 Let r be ((-5)/(-20))/((-2)/(-16)). Calculate the common denominator of 2 + -1 - (-210)/(-44) and (-84)/40 + (-6)/r. 110 Let q = -19 + 30. Suppose -21 = -2*u + 3*y, y + 3*y + q = -3*u. Calculate the smallest common multiple of 7 and u. 21 Let z be ((-2 - -5)/(-3))/(-1). Let k be z*(4 - 1 - 3). Suppose k = 2*m - m + 49. Find the common denominator of m and -1/2. 2 Let s(b) = 16*b. Let d be s(-5). Let i = 110 + d. What is the lowest common multiple of 14 and i? 210 Let g = 51/4 - 13. Let b be 18*89588/176 - 3. Let q = -9161 + b. Find the common denominator of g and q. 44 Let d = 463 - 220. Suppose 10*y - d = y. What is the least common multiple of y and 21? 189 Suppose 24 = 4*m - 4*l, 41*m - l - 34 = 36*m. Calculate the smallest common multiple of m and 1. 7 Calculate the common denominator of 109/12 and (-212)/8*(-6)/(-39) + 3. 156 Let o be (1 + (3 - 4))*(-2 - -1). Suppose -232 = -5*t + p, 4*p = -4*t - o*p + 176. Calculate the common denominator of 149/12 and t. 12 Suppose n = 14 + 56. What is the lowest common multiple of 4 and n? 140 Let y(z) = 3*z**2 + 2*z - 27. Suppose 2*i + 12 = 2. What is the least common multiple of 22 and y(i)? 418 Suppose -5*b - 3*f + 35 = 0, 5*b + 5*f = 4*f + 45. Suppose 2*m + c = 4*c + 19, 0 = m + 5*c - 29. What is the smallest common multiple of m and b? 70 Let f = 410 + -395. What is the lowest common multiple of 9 and f? 45 Suppose 0 = -163*q + 157*q + 42. Calculate the least common multiple of q and 224. 224 Let d(s) = s + 15. Suppose -2*l + 3*r - 2 = 0, -6*l + r - 14 = -2*l. Let b be (l - 3)*-2 - 3. Calculate the smallest common multiple of d(b) and 10. 130 Suppose -d - 5*a = -3*a - 11, 0 = a - 1. Suppose o + d = 27. What is the lowest common multiple of 21 and o? 126 What is the lowest common multiple of 11 and 8/(-176)*2 + (-24)/(-22)? 11 Suppose -5*q = 3*n - 50, -5*n - 3*q + 7*q + 71 = 0. What is the lowest common multiple of 50 and n? 150 Let i be (45/(-7) + -2)*-22. Let j = i + -14096/77. What is the common denominator of j and 57/7? 77 Suppose 10 = 2*n, 3*u - 3*n - 61 = n. Suppose -11 = 26*t - u*t. What is the least common multiple of t and 2? 22 Let x = -24061158323/10 - -2408922401. Let b = -2803865 + x. Let c = -2701 + b. Find the common denominator of -99/16 and c. 80 Let t(o) = o**3 - 19*o**2 - 22*o + 44. Let d be t(20). Suppose d*k - 1 = 79. Calculate the smallest common multiple of k and 2. 20 Let l = -2073029/8249778 + 3/39854. What is the common denominator of 43/30 and l? 2070 Suppose 622*n = 635*n - 468. Calculate the lowest common multiple of 18 and n. 36 Suppose -8*t + 28 - 12 = 0. Suppose t*k - 2*s = 6*k + 402, -2*k - 5*s - 213 = 0. Find the common denominator of 1/3 - (-537)/k and -9. 11 Let p be (-20)/(-18) - 4*1. Let j = p - -23/36. Calculate the common denominator of 99/16 and j. 16 Let i = -3239/198 + 183/11. Calculate the common denominator of i and 149/306. 306 Let k = 151 + -187. Calculate the common denominator of (436/k)/(1 + -4 + 1) and -17/16. 144 Calculate the smallest common multiple of (228/30 - 7)*(-4 - -59) and 45. 495 Suppose 2*z + 6*z = 312. Suppose -f - 2*f + h + 77 = 0, -z = -f - 3*h. What is the smallest common multiple of f and 21? 189 Calculate the common denominator of (-1442)/357 - (-5*6)/6 and -23/8. 408 Suppose -20 = i - 5*i. Calculate the lowest common multiple of 6/2 + i/1 and 14. 56 Let p = -12 - -26. Let r be 5 + -2 + -15 + -1. Calculate the smallest common multiple of p and (3 - 4)*r + -3. 70 Let s = -160 - -176. What is the smallest common multiple of 6 and s? 48 Find the common denominator of (2 - (-2 + 2)) + (-1675)/805 and -8/7. 161 Let w(a) = -a**2 - 6*a + 8. Let f be w(-6). Suppose -4*i + 8 - 4 = 0. What is the smallest common multiple of i and 33*(1 - f/12)? 11 Suppose 3*h - 5*x + 7 = 22, 5 = -h + 5*x. What is the least common multiple of 378 and h? 1890 Suppose -3*s = -5*d + 142, -5*d - 26*s = -31*s - 150. What is the least common multiple of 14 and d? 182 Let u be ((-1)/657)/((-7)/(-6)). Let l = 47503/15330 - u. Find the common denominator of l and -25/24. 120 Let
{ "pile_set_name": "DM Mathematics" }
7, -516, -921, -1442, -2079, -2832? -58*p**2 + p + 3 What is the q'th term of 196, 193, 190? -3*q + 199 What is the j'th term of -52, -206, -454, -790, -1208, -1702, -2266? j**3 - 53*j**2 - 2*j + 2 What is the z'th term of -11, -15, -19, -23, -27, -31? -4*z - 7 What is the a'th term of 92, 89, 86, 83? -3*a + 95 What is the j'th term of 53, 116, 181, 248, 317, 388, 461? j**2 + 60*j - 8 What is the a'th term of -54, -99, -144, -189? -45*a - 9 What is the d'th term of -182, -171, -160? 11*d - 193 What is the j'th term of 175, 348, 517, 682, 843? -2*j**2 + 179*j - 2 What is the z'th term of -1296, -1298, -1302, -1308? -z**2 + z - 1296 What is the v'th term of 2, 34, 64, 92, 118, 142, 164? -v**2 + 35*v - 32 What is the w'th term of 341, 680, 1015, 1346, 1673, 1996? -2*w**2 + 345*w - 2 What is the i'th term of -36, -50, -60, -66, -68? 2*i**2 - 20*i - 18 What is the o'th term of -8849, -8839, -8815, -8771, -8701, -8599, -8459? o**3 + o**2 - 8851 What is the v'th term of -72, -53, -32, -9, 16, 43, 72? v**2 + 16*v - 89 What is the p'th term of 678, 681, 690, 711, 750, 813, 906, 1035? p**3 - 3*p**2 + 5*p + 675 What is the u'th term of 0, -22, -72, -162, -304? -2*u**3 - 2*u**2 - 2*u + 6 What is the n'th term of -112, -203, -296, -391, -488, -587? -n**2 - 88*n - 23 What is the k'th term of 39, 129, 327, 687, 1263? 9*k**3 + 27*k + 3 What is the v'th term of -193, -240, -333, -484, -705? -2*v**3 - 11*v**2 - 180 What is the n'th term of -131, -120, -109, -104, -111, -136, -185? -n**3 + 6*n**2 - 136 What is the b'th term of -24, -33, -38, -39? 2*b**2 - 15*b - 11 What is the j'th term of 11, 32, 63, 104, 155, 216, 287? 5*j**2 + 6*j What is the s'th term of 18, 75, 172, 315, 510? s**3 + 14*s**2 + 8*s - 5 What is the g'th term of 221, 223, 225, 227? 2*g + 219 What is the y'th term of 9, 36, 111, 258, 501, 864, 1371, 2046? 4*y**3 - y + 6 What is the c'th term of 18, 49, 102, 177? 11*c**2 - 2*c + 9 What is the r'th term of -5956, -5955, -5954? r - 5957 What is the p'th term of 12, 42, 92, 162? 10*p**2 + 2 What is the m'th term of 131, 137, 143, 149, 155? 6*m + 125 What is the g'th term of 1380, 1374, 1358, 1326, 1272, 1190, 1074? -g**3 + g**2 - 2*g + 1382 What is the g'th term of 566, 564, 562? -2*g + 568 What is the t'th term of 855, 1711, 2567? 856*t - 1 What is the t'th term of 10, 1, -30, -95, -206? -2*t**3 + t**2 + 2*t + 9 What is the a'th term of -18, -14, -2, 18, 46, 82? 4*a**2 - 8*a - 14 What is the k'th term of 473, 1887, 4235, 7511, 11709, 16823, 22847, 29775? -k**3 + 473*k**2 + 2*k - 1 What is the c'th term of 10, 27, 44, 61, 78? 17*c - 7 What is the y'th term of -36, -47, -62, -81? -2*y**2 - 5*y - 29 What is the y'th term of -27, -16, -7, 0, 5, 8, 9? -y**2 + 14*y - 40 What is the k'th term of 1132, 2262, 3392, 4522, 5652, 6782? 1130*k + 2 What is the n'th term of -7, -3, 5, 17, 33? 2*n**2 - 2*n - 7 What is the v'th term of -17, -28, -49, -80? -5*v**2 + 4*v - 16 What is the t'th term of 161, 146, 105, 26, -103, -294, -559? -2*t**3 - t**2 + 2*t + 162 What is the s'th term of 20367, 20368, 20369, 20370, 20371, 20372? s + 20366 What is the n'th term of 355, 353, 351, 349, 347, 345? -2*n + 357 What is the t'th term of -91, -190, -297, -412, -535? -4*t**2 - 87*t What is the x'th term of 18, 51, 80, 105? -2*x**2 + 39*x - 19 What is the z'th term of -17, -111, -363, -851, -1653, -2847, -4511, -6723? -13*z**3 - z**2 - 3 What is the g'th term of -9, -19, -35, -57, -85? -3*g**2 - g - 5 What is the h'th term of -404, -786, -1154, -1502, -1824, -2114, -2366, -2574? h**3 + h**2 - 392*h - 14 What is the r'th term of 64, 146, 228, 310, 392? 82*r - 18 What is the w'th term of -28, -59, -92, -127, -164? -w**2 - 28*w + 1 What is the x'th term of 211, 210, 207, 202, 195, 186? -x**2 + 2*x + 210 What is the u'th term of -2309, -2305, -2301? 4*u - 2313 What is the n'th term of -3960, -3954, -3944, -3930, -3912, -3890? 2*n**2 - 3962 What is the n'th term of -757, -1522, -2295, -3076, -3865? -4*n**2 - 753*n What is the t'th term of -129, -137, -145, -153, -161, -169? -8*t - 121 What is the m'th term of -2699, -2703, -2707, -2711? -4*m - 2695 What is the o'th term of -2, -7, -40, -107, -214, -367, -572? -o**3 - 8*o**2 + 26*o - 19 What is the m'th term of -20, -22, -28, -38, -52? -2*m**2 + 4*m - 22 What is the y'th term of -22, -89, -198, -349, -542? -21*y**2 - 4*y + 3 What is the c'th term of 383, 382, 383, 386? c**2 - 4*c + 386 What is the g'th term of 826, 1648, 2470, 3292? 822*g + 4 What is the s'th term of -1082, -1084, -1086, -1088, -1090, -1092? -2*s - 1080 What is the t'th term of 112, 115, 118, 121? 3*t + 109 What is the b'th term of -42, -59, -64, -51, -14, 53, 156? b**3 - 24*b - 19 What is the o'th term of 138, 275, 412, 549? 137*o + 1 What is the o'th term of 96, 95, 94, 93, 92? -o + 97 What is the p'th term of 71, 76, 81, 86, 91? 5*p + 66 What is the p'th term of 1922, 1920, 1918, 1916, 1914? -2*p + 1924 What is the t'th term of 20, 25, 32, 41, 52, 65? t**2 + 2*t + 17 What is the l'th term of -24, -33, -56, -99, -168? -l**3 - l**2 + l - 23 What is the t'th term of 6419, 12836, 19253, 25670? 6417*t + 2 What is the q'th term of 4, -23, -68, -131, -212? -9*q**2 + 13 What is the n'th term of 2460, 4922, 7384, 9846, 12308? 2462*n - 2 What is the b'th term of -3839, -3843, -3845, -3845, -3843, -3839, -3833? b**2 - 7*b - 3833 What is the l'th term of -451, -896, -1329, -1744, -2135, -2496, -2821, -3104? l**3 - 452*l What is the l'th term of 156, 166, 166, 150, 112? -l**3 + l**2 + 14*l + 142 What is the l'th term of -22, -31, -36, -37, -34? 2*l**2 - 15*l - 9 What is the z'th term of 737, 1479, 2221? 742*z - 5 What is the d'th term of 83, 140, 197, 254? 57*d + 26 What is the u'th term of -519, -518, -517, -516, -515? u - 520 What is the f'th term of 6, 11, 16? 5*f + 1 What is the z'th term of -18, -21, -24, -27, -30? -3*z - 15 What is the y'th term of -324, -1297, -2918, -5187, -8104, -11669? -324*y**2 - y + 1 What is the v'th term of -131, -117, -95, -65, -27? 4*v**2 + 2*v - 137 What is the y'th term of -1052, -1049, -1038, -1013, -968, -897? y**3 - 2*y**2 + 2*y - 1053 What is the i'th term of 119, 99, 79, 59, 39? -20*i + 139 What is the u'th term of 464, 1835, 4118, 7313? 456*u**2 + 3*u + 5 What is the i'th term of 1, 28, 79, 160, 277? i**3 + 6*i**2 + 2*i - 8 What is the j'th term of -25, -74, -157, -274? -17*j**2 + 2*j - 10 What is the l'th term of -195, -389, -583? -194*l - 1 What is the d'th term of -277, -538, -799, -1060, -1321, -1582? -261*d - 16 What is the c'th term of -5482, -5479, -5476, -5473, -5470? 3*c - 5485 What is the l'th term of 89, 81, 59, 17, -51? -l**3 - l**2 + 2*l + 89 What is the z'th term of 534, 527, 518, 507? -z**2 - 4*z + 539 What is the u'th term of -159, -164, -169, -174, -179, -184? -5*u - 154 What is the y'th term of 13448, 26894, 40338, 53780, 67220, 80658, 94094? -y**2 + 13449*y What is the k'th term of 1823, 3647, 5473, 7301? k**2 + 1821*k + 1 What is the k'th term of -114, -189, -226, -219, -162, -49, 126, 369? k**3 + 13*k**2 - 121*k - 7 What is the x'th term of -24, -23, -22? x - 25 What is the x'th term of 135, 265, 405, 561, 739, 945, 1185, 1465? x**3 - x**2 + 126*x + 9 What is the u'th term of 2, -14, -56, -136, -266, -458? -2*u**3 - u**2 + u + 4 What is the d'th term of 1, 9, 21, 37? 2*d**2 + 2*d - 3 What is the q'th term of 184, 378, 572, 766? 194*q - 10 What is the p'th term of -15, -48, -111, -210, -351, -540? -p**3 - 9*p**2 + p - 6 What is the o'th term of 17995, 17997, 17999, 18001, 18003? 2*o + 17993 What is the m'th term of -463, -458, -439, -400, -335, -238, -103, 76? m**3 + m**2 - 5*m - 460 What is the c'th term of -7, -40, -101, -196, -331, -512, -745, -1036? -c**3 - 8*c**2 - 2*c + 4 What is the l'th term of -46554, -46550, -46536, -46506, -46454? l**3 - l**2 - 46554 What is the z'th term of 6, -3, -20, -51, -102, -179, -288? -z**3 + 2*z**2 - 8*z + 13 What is the h'th term of -288, -284, -276, -264, -248, -228? 2*h**2 - 2*h - 288 What is the a'th term of -136, -128, -106, -64, 4, 104, 242, 424? a**3 + a**2 - 2*a - 136 What is the i'th term of 3, -49, -91, -117, -121, -97? i**3 - i**2 - 56*i + 59 What is the j'th term of -107, -127, -147? -20*j - 87 What is the q'th term of -64, -70, -66, -46, -4, 66, 170, 314? q**3 - q
{ "pile_set_name": "DM Mathematics" }
ive of -16474*h**3 - 789*h**2 + 2*h wrt h. -98844 What is the third derivative of 838*u**5 - 1551*u**2 wrt u? 50280*u**2 What is the second derivative of 3*z**5 + 47*z**4 - 167*z wrt z? 60*z**3 + 564*z**2 Find the third derivative of 5*i**2*k**5 - i**2 + 42*i*k**5 - 396*i*k**2 wrt k. 300*i**2*k**2 + 2520*i*k**2 What is the third derivative of -420*g**2*w**3*z**3 - 13*g**2*w**2*z - g**2*z**3 + g*z**3 wrt w? -2520*g**2*z**3 Find the third derivative of 16*v**6 + 2*v**3 + 4*v**2 - 53*v. 1920*v**3 + 12 What is the second derivative of m**3*q**2 + 2*m**3*q + 34*m**2*q**2 + m**2*q - 2*m**2 + 24*m*q - q**2 wrt q? 2*m**3 + 68*m**2 - 2 Find the second derivative of 6*x**4 - 17*x**2 + 160*x wrt x. 72*x**2 - 34 What is the second derivative of -368*p**5 + 2*p + 3 wrt p? -7360*p**3 Differentiate a**2*f - 13*a**2 - a*f*r - 23*f*r + 33*f + 124*r with respect to f. a**2 - a*r - 23*r + 33 What is the second derivative of 2862*x**2 - 1588*x wrt x? 5724 What is the second derivative of 90*k**3*u**3 + 4*k**3*u**2 + 273*k**3 + k**2*u**2 + k*u + 3*u wrt u? 540*k**3*u + 8*k**3 + 2*k**2 What is the second derivative of 2*c*x**3 - 6*c*x**2 + 2*c*x - c - x**3 + 19*x**2 - 17*x + 6 wrt x? 12*c*x - 12*c - 6*x + 38 What is the second derivative of -y**3*z**2 - 4811*y**2*z**2 + 859*y*z**2 - y*z - z**2 + 2 wrt y? -6*y*z**2 - 9622*z**2 What is the third derivative of 3*y**6 + 3181*y**3 - 56*y**2 + y + 38? 360*y**3 + 19086 Find the third derivative of -18*m**5 + 356*m**2 wrt m. -1080*m**2 Find the first derivative of -22*h + 250. -22 Find the first derivative of -148*a*f**4*u - 2*a - 2*f**2*u**2 - 10*u**2 + 2 wrt f. -592*a*f**3*u - 4*f*u**2 What is the derivative of -475*r*w - 3874*r wrt w? -475*r What is the derivative of 1556*a - 12681? 1556 Find the third derivative of -236*n**3*p**3 - 1316*n**2*p**3 wrt n. -1416*p**3 Find the second derivative of a**2*r**5 + 45*a**2*r**4 - a**2 - a*r + 23*r wrt r. 20*a**2*r**3 + 540*a**2*r**2 Find the third derivative of -60*l*n**6 + 16*l*n**2 + 2*l*n + 2*l + 2*n**6 + 3*n**4 wrt n. -7200*l*n**3 + 240*n**3 + 72*n Find the first derivative of -58*i + 62 wrt i. -58 What is the first derivative of 3*g*m**2*q + 3*g*m**2 - 74*g*m*q - 7*g*q + 3*q + 7 wrt m? 6*g*m*q + 6*g*m - 74*g*q Find the third derivative of -c**2*l**5 + 18*c**2*l**3 - 2*c**2*l - 2*c*l**2 + 5 wrt l. -60*c**2*l**2 + 108*c**2 What is the third derivative of -2*h**4 - 106*h**3 - 1452*h**2? -48*h - 636 What is the third derivative of 103*y**3*z**3 - 6*y**3 + y**2*z**2 - 2*y*z**3 + 77*z**3 wrt y? 618*z**3 - 36 What is the second derivative of j**2*o**3 + 107*j**2*o**2*v**2 + 35*j*o**3*v - 2*j*o*v**2 - 8*o**3 wrt j? 2*o**3 + 214*o**2*v**2 What is the second derivative of 43*w**3 + 64*w wrt w? 258*w What is the derivative of -208*f**4 - 148 wrt f? -832*f**3 Find the second derivative of 9*i**3*k**5 - 132*i**3*k**4 + 28*i**3*k - 66*i**2 wrt k. 180*i**3*k**3 - 1584*i**3*k**2 What is the second derivative of -284*c*j**3*m**2 - 38*c*j**3*m - c*m**4 + c*m + 2*j**3*m wrt m? -568*c*j**3 - 12*c*m**2 What is the third derivative of 13478*f**3 + 23018*f**2 wrt f? 80868 What is the second derivative of 2*u**3 + 9140*u**2 - 19247*u wrt u? 12*u + 18280 What is the second derivative of 846*s*y**5 - 8*s*y**2 + 14*s*y + 2*s - 7*y - 6 wrt y? 16920*s*y**3 - 16*s Find the third derivative of 59*o**5 + 18*o**2 - 2 wrt o. 3540*o**2 What is the second derivative of 658*a**5 - 856*a wrt a? 13160*a**3 What is the derivative of -1056*f**4*r**2 + 4591*r**2 wrt f? -4224*f**3*r**2 Find the second derivative of 566*d**2*o**3 - d**2*o - 8*d*o - 2*o + 186 wrt o. 3396*d**2*o What is the derivative of -6*i**4 - 106*i**3 - i**2 + 6505 wrt i? -24*i**3 - 318*i**2 - 2*i What is the second derivative of 35*a**3 - 25*a**2*z + 42*a*z + a + 20*z wrt a? 210*a - 50*z Find the third derivative of -t*z**3 + 2*t*z**2 - 880*z**3 - 106*z**2 - 20 wrt z. -6*t - 5280 Differentiate 1724*v - 860. 1724 Find the third derivative of -i**4*t - 10*i**4 + 96*i**3*t**3 + 9*i**2*t**3 + 208*i*t**3 + i wrt i. -24*i*t - 240*i + 576*t**3 What is the third derivative of -1257*m*t**3 + 1036*m*t**2 wrt t? -7542*m Find the first derivative of 12*i**3*n**2 - 2*i**3 + 2*i*n + 4*n**2 - 25 wrt i. 36*i**2*n**2 - 6*i**2 + 2*n What is the second derivative of -p**3*t + 3982*p**3 + p**2*t - 2*p*t + 19*p + 233*t wrt p? -6*p*t + 23892*p + 2*t Find the second derivative of -141*c**3 + c**2 - 180*c wrt c. -846*c + 2 Find the second derivative of -i**3*t**3 + 177*i**3*t**2 - 3*i**3 - 2*i*t - 244*i wrt t. -6*i**3*t + 354*i**3 What is the second derivative of -15*u**3 + 41*u**2 + 827*u? -90*u + 82 What is the derivative of -532*c - 766? -532 Differentiate -329*d**2 - 7 with respect to d. -658*d Find the second derivative of -4851*o**3 - 39*o - 2 wrt o. -29106*o Find the third derivative of 19*f**5 + 269*f**2 wrt f. 1140*f**2 Find the third derivative of -7959*f**6 - 2*f**2 + 1292*f + 1 wrt f. -955080*f**3 Find the first derivative of -x**2*z + 94*x**2 + 2*x*z + 19*z - 27 wrt x. -2*x*z + 188*x + 2*z What is the first derivative of 15*b*k**3 - 6*b + 727*k**3 wrt b? 15*k**3 - 6 Differentiate 7053*u**2 + 13411 wrt u. 14106*u Differentiate q**4 - 369*q + 784 with respect to q. 4*q**3 - 369 What is the second derivative of 48*h**3*i**2 + 2*h**3*i + 108*h**2 - h*i**2 wrt i? 96*h**3 - 2*h What is the first derivative of 6*v**2 - 66*v - 2759? 12*v - 66 Find the third derivative of 250*r*v**3*x**2 + 11*r*v**3 - r*v**2*x + 2*r*v*x**2 - r*v*x - 204*v*x**2 - 2*v*x wrt v. 1500*r*x**2 + 66*r What is the derivative of 33*l**4*w**2 + 4*l**2*w**3 + 303*w**3 wrt l? 132*l**3*w**2 + 8*l*w**3 Find the second derivative of -14*m**3 - 30*m**2 + m - 231. -84*m - 60 What is the second derivative of -o**4 - 93*o**2 + 39*o - 3 wrt o? -12*o**2 - 186 Find the third derivative of -b*o**3*t + b*o**2*t + 65*b*o + 3973*o**3*t**2 + o**2*t**2 - 2*o**2*t + 3*t wrt o. -6*b*t + 23838*t**2 Find the second derivative of -2*i**4 + 9*i**3 + 89*i + 2 wrt i. -24*i**2 + 54*i Find the third derivative of -12*q**5 + 2*q**4*s + q**3*s - 2*q**2*s - 373*q + 2*s wrt q. -720*q**2 + 48*q*s + 6*s Differentiate 2*a**2*u**3 - 606*a**2*u**2 + a*u**3 - 1549*u**3 with respect to a. 4*a*u**3 - 1212*a*u**2 + u**3 What is the first derivative of 464*n - 160? 464 What is the second derivative of 42*c**4 - c**3 - 40*c**2 + 6*c + 14 wrt c? 504*c**2 - 6*c - 80 What is the first derivative of 270*y**4 - 2518? 1080*y**3 What is the third derivative of -65*c**3*s*z**2 - 3*c**3*z**2 - 2*c**2*z + 8*c*z**2 - s wrt c? -390*s*z**2 - 18*z**2 What is the third derivative of 37*s**5 + 2*s**3 - 14*s**2 - 15*s + 2 wrt s? 2220*s**2 + 12 What is the first derivative of 129*x**4 + 146? 516*x**3 Differentiate 15*o*p*t*z**2 + o*p*t + o*p*z + 2*p*t*z**2 - 17*p*t*z - 9*t*z + t with respect to o. 15*p*t*z**2 + p*t + p*z What is the first derivative of 10*f**2*o**4 - 2*f**2 + 80*o**4 - 1720 wrt o? 40*f**2*o**3 + 320*o**3 What is the derivative of 441*b**3*k - 3*b**3*u - b**2*u + 156*b*u - 2*k*u wrt k? 441*b**3 - 2*u Find the third derivative of b**6*p - 87*b**5*p**2 - 3*b**2 + 3*p**2 + 7*p wrt b. 120*b**3*p - 5220*b**2*p**2 What is the first derivative of i**4 - 267*i + 3618 wrt i? 4*i**3 - 267 What is the third derivative of 3*m*u**3 + 5*m*u**2*x + m*w**2 + 2*m*w + 10*u**4*w*x + 3*u**3*w**2*x + 89*u**2*w**2*x + 2*u**2*w*x wrt u? 18*m + 240*u*w*x + 18*w**2*x Find the second derivative of -6*m**4 - 720*m**2*x - m**2 - 12039*m*x wrt m. -72*m**2 - 1440*x - 2 Differentiate -181*x**2*z - 2*x**2 + 12*z - 9 wrt x. -362*x*z - 4*x What is the second derivative of 3*o**3*r**2*y - 2*o**3*r*y + 29*o**3*y**2 - 29*o**2*r**2*y**2 + 3*o**2*r*y**2 + 3*o*r**2 wrt r? 6*o**3*y - 58*o**2*y**2 + 6*o Differentiate 1183*i*v + 921*v wrt i. 1183*v What is the second derivative of -2*l**4 + 2385*l**3 + 5109*l? -24*l**2 + 14310*l What is the first derivative of -w*z**3 + 236*w + 204*z**3 wrt z? -3*w*z**2 + 612*z**2 Find the first derivative of 75*f**4 - 5*f - 409 wrt f. 300*f**3 - 5 What is the second derivative of 14*k**5*o + 46*k**3 - 39*k*o + 3*o - 13 wrt k? 280*k**3*o + 276*k What is the third derivative of 18*z**5 + 11*z**4 - 3126*z**2 wrt z? 1080*z**2 + 264*z What is the third derivative of -5401*h**3 - 4*h**2 wrt h? -32406 Differentiate 110*h*w + 13*h - 4154*w with res
{ "pile_set_name": "DM Mathematics" }
2*l**4 + 113*l**2 + 2. Determine b(0). 2 Suppose 5*u - 3*r = 15, 0*u - 4*r = 3*u - 38. Suppose u = 17*n - 14*n. Let y(o) = -4*o**n + 23 - 8 + 2*o**2 - 6*o**3 - 14. Give y(1). -7 Let a = -1533 + 1537. Let t(h) be the third derivative of h**5/30 - h**4/12 + h**3/6 + 4*h**2 + 8*h. Give t(a). 25 Let s(v) = 7*v**2 - 4*v + 16. Let d(o) = 6*o**2 - 4*o + 13. Suppose 7*z = 31 + 4. Let w(l) = z*s(l) - 6*d(l). Determine w(6). -10 Let d(x) = 3*x**2 + x - 7 - 220*x**3 + 221*x**3 - 4*x**2. Suppose 0 = -4*y + y. Suppose y = 6*m + 7 - 7. Determine d(m). -7 Let x(t) = 2*t**3 + 13*t**2 + 7*t + 9. Let h be x(-6). Let y(i) = 1 + 18*i - 2*i**2 + 8*i**h - 16*i - 2. Let w = 154 - 153. Determine y(w). 7 Let f(b) = -9*b + 44. Let a(y) = 22*y - 106. Let x(c) = 5*a(c) + 12*f(c). Calculate x(-10). -22 Let y(w) be the third derivative of w**6/60 - w**5/60 + w**3/6 + 225*w**2 + 2. Determine y(1). 2 Let j(c) = -101 - 95 + 199 + 81*c - 37*c - 43*c. Let z = 3 - 8. What is j(z)? -2 Let y(c) be the first derivative of -c**4 - c**3/3 - c**2/2 + 3*c - 7237. Calculate y(1). -3 Let s(x) = x**3 + 6*x**2 - 11*x - 4. Let n be 0 + (-6)/(-8) - 2415/276. Calculate s(n). -44 Let c(d) = 2*d. Let m = 181 - 183. Let n be 38/6 - m/3. Calculate c(n). 14 Suppose 5*o + 2 = -3*f, -3*f + o + 3*o = -7. Let a(i) = f + 2 + i + 3 - 3. Determine a(-3). 0 Let l be (-14)/(-35)*-5 + 3. Let y(q) = -11*q - 11*q + 27*q + l - 7*q. Determine y(5). -9 Let t be 6 - 2*(1 + 0). Let r(q) be the second derivative of -q**4/6 - q**3/2 - 15*q**2 + 24*q. Let p(c) be the first derivative of r(c). Give p(t). -19 Let k(x) = -1696 + 1425 + 28*x + 58*x - 17*x. Determine k(4). 5 Let r = -146 + 156. Let i(v) = -8*v - 3. Let s(u) = 19*u + 11. Let p(n) = -5*i(n) - 2*s(n). What is p(r)? 13 Let g(h) = -2*h**2 - 18*h - 5. Let d(q) = 85*q + 923. Let a be d(-11). What is g(a)? -77 Let u(p) = 5*p**3 + 2*p**2 - 55*p + 39. Let b(f) = -14*f**3 - 6*f**2 + 160*f - 119. Let m(g) = 6*b(g) + 17*u(g). Calculate m(2). -1 Let p(n) = -2*n - 51. Let h(r) = -3*r - 42. Let y(k) = -5*h(k) + 4*p(k). What is y(-2)? -8 Let n(y) be the third derivative of -y**4/4 - 2*y**2 + 197*y + 4. Give n(-13). 78 Let w(g) = -3*g - 1. Let i be w(-2). Suppose -i*a + 15 = -0. Let d(p) = -2636*p**2 + 1307*p**2 - 2*p + 1327*p**2 + p**3. Calculate d(a). 3 Let g(w) be the first derivative of -4*w**2 - 186*w + 5981. Determine g(-23). -2 Let g be 6 + 1/(-2)*2. Let a(b) = -b**3 + 6*b + 4*b**2 - 31 + 34 - g*b**2 + 6*b**2. Give a(6). 3 Let y(t) be the first derivative of 1/2*t**4 + 1/6*t**3 - 11 + 0*t - 1/2*t**2. Let f(j) be the second derivative of y(j). Determine f(-1). -11 Let s(w) be the first derivative of -w**4/12 - w**3/2 + 5*w**2/2 + 48*w - 65. Let a(y) be the first derivative of s(y). What is a(-4)? 1 Suppose 0 = -2*l - l + 51. Let s(d) = -d + 10. Let u be s(l). Let r be (-18)/(-3)*(u - -4)/3. Let t(z) = -z**3 - 6*z**2 + z + 3. What is t(r)? -3 Let a(n) = n**2 - 17*n - 46. Let y(d) = -3*d**2 + 50*d + 138. Let h(x) = 17*a(x) + 6*y(x). Suppose 8696*g = 8026*g + 5055 + 4325. Determine h(g). 4 Let n(m) = -m**3 - 7*m**2 - 2. Suppose 2*q - 30 = -k + 41, -4*q + 143 = k. Suppose -q*r - 34 = 218. What is n(r)? -2 Let p = -387 + 391. Let u be 3 - (15/5 + p). Let b(z) = -4*z**2 - 4*z - 6. Let c(t) = 5*t**2 + 3*t + 7. Let a(m) = -4*b(m) - 3*c(m). What is a(u)? -9 Let s(a) = -5*a + 14. Let n = -1172 - -1168. Calculate s(n). 34 Let l(p) = p**2 + 18*p - 26. Let b be l(-19). Suppose q - 4*q = -18. Let s(a) = 8*a**2 - 6 + q*a + 45*a**3 + 0*a - 44*a**3. Give s(b). 1 Let m be (4/(-7))/(44/154). Let h be (18 - 3 - 10) + 4 + m. Let g(p) = p**3 - 6*p**2 - 7*p - 2. Calculate g(h). -2 Let v(t) = t**2 - 4*t - 5. Let a be 4/6*(-12)/(-8). Let k = a - 18. Let p(j) = j**2 + 18*j + 23. Let m be p(k). Calculate v(m). 7 Let p(t) be the third derivative of t**6/120 - 13*t**5/20 + t**4/12 - 6*t**3 + 10*t**2 - 175*t. Calculate p(39). 42 Let g(i) = 2*i + 28. Let k be g(-16). Let b(r) = r + 2. Let t(h) = -3*h - 7. Let s(w) = k*t(w) - 14*b(w). Suppose -14*f - 4 = -10*f. What is s(f)? 2 Let n(g) = 4*g**2 - g - 16. Suppose 35*j - 39 = -144. Give n(j). 23 Let q(x) be the second derivative of -x**5/20 - x**4/2 - x**3/2 - 3*x**2/2 - 33*x. Let y = 26 + -29. Determine q(y). -21 Let w(g) = g + 8. Let h(v) = -18*v - 42. Let x(l) = -h(l) - 5*w(l). What is x(-3)? -37 Suppose 193*d + 56 = 100*d + 101*d. Let k(u) = u**3 - 7*u**2 + 15. Calculate k(d). 15 Let w be (-285)/(-45) + (-2)/(-3). Let f(a) = 10*a**3 - a**2 - w*a**2 + 9*a**2 + a + 1. Give f(-1). -9 Let z(o) = 3*o**2 + 8*o + 79. Let k(a) = 4*a**2 + 7*a + 77. Let d(c) = 4*k(c) - 5*z(c). Let r(p) be the first derivative of d(p). What is r(5)? -2 Let j(p) = p - 25. Let h be j(10). Let l = h + 81. Let o(x) = l - 37 - x**2 + 8*x - 34. Give o(6). 7 Let g(s) = -2*s**2 - 15*s - 9. Let c(i) = 4*i**2 - 141*i - 266. Let r be c(37). Give g(r). -2 Let t(k) = k**2 - 14*k - 243. Suppose -3*p = 5*n - 111, -2*n - p - 1265 = -1310. What is t(n)? -3 Let i(r) be the second derivative of 4*r**4/3 + 5*r**3/6 + 5*r**2/2 + 884*r. Give i(-2). 59 Let z(t) = -80*t**2 + 7*t + 27. Let b(d) = -89*d**2 + 8*d + 30. Let c(q) = -9*b(q) + 10*z(q). Let u(x) = x**3 + 3*x**2 - 5*x - 1. Let i be u(-4). Give c(i). 3 Let x be (2 + (-8 - -2))*6/(-12). Let p(j) = -4*j + 526 + 3*j**2 - 531 - 2*j**x. Determine p(5). 0 Let y(f) = -f**2 - 2 - 5 + 15*f - 7*f. Let h(q) be the third derivative of -q**4/24 + 2*q**3 + 10*q**2. Let c be h(6). What is y(c)? 5 Let k(z) = 2*z**2 + 3*z - 34. Suppose 340*a - 105*a = 705. Determine k(a). -7 Let c(v) = -6*v - 13*v**2 - 4*v**2 + 1 + 0 + 21*v**2. Let k be c(2). Let o(m) = -m - 5*m + m + m**2 + 4. Give o(k). 4 Let w(s) = 26*s**3 - 2*s**2 - 3*s - 2. Suppose u = -9*u + 49*u + 39. Calculate w(u). -27 Let v(a) = a**3 + 4*a**2 + 1. Let l be v(-4). Suppose 0 = -3*f + 20 - 14. Let h(c) = 1 - 12*c**2 + 4 + f*c + 2*c**2 - 6. Give h(l). -9 Suppose 2*n = f + 7*n - 24, 4*f - 48 = -4*n. Suppose -33*r - f = -24*r. Let d(h) = -2*h**2 - 1. What is d(r)? -3 Suppose 4*d + d = 20. Let t(x) = d*x - 6 + 5*x - x**2 - 2*x. Let a be 27 - (3663/165 - (-3)/(-15)). Calculate t(a). 4 Let p(t) = 11*t - 10. Suppose 10*q - 67 - 250 = 327*q. Calculate p(q). -21 Let z(m) = -m. Let l(k) = -8*k**2 + k - 12. Let b(c) = 5*c**2 - c + 6. Let v(g) = -5*b(g) - 3*l(g). Let a(x) = -v(x) - 3*z(x). Calculate a(-6). 24 Let z(j) = -24*j - 288. Let b be z(-12). Let w(a) = -2*a + 5. What is w(b)? 5 Let s(g) = -11 + 7*g + 35 - 10. Let o(y) = -3*y - 6. Let v(q) = -9*o(q) - 4*s(q). Give v(0). -2 Let q(t) = t**3 + 2*t**2 + 2*t + 4. Let u be q(0). Let v(x) = -15*x + 16*x + 2 + u*x**3 - 1. What is v(-1)? -4 Let l be (-3)/9*(2 + -11). Let y(f) = 8*f - 464 + 6*f - 2*f - 6*f + 466. Give y(l). 20 Let b(l) = 6*l**3 - 528*l**2 + l - 88. Let s be b(88). Let a(g) = -g**3 + 2*g - 69. Calculate a(s). -69 Let j(h) be the third derivative of -h**5/60 + h**4/24 + 5*h**3/2 - 59*h**2 + 13*h. Calculate j(4). 3 Let m(i) = 3*i - 83. Let z(u) = 3*u - 58. Let g(f) = 3*m(f) - 4*z(f). Determine g(3). -26 Let p(j) be the first derivative of -2/3*j**3 - 74 - 4*j - 1/2*j**2. Give p(3). -25 Suppose -5*w = -5*s + 45, -19 = 4*s - 39. Let d(a) = -2*a - 6. Let z(n) = 3*n + 11. Let g(v) = 5*d(v) + 3*z(v). What is g(w)? 7 Let i(q) be the second derivative of q**5/20 + 2*q**4/3 + 5*q**3/6 - 2*q**2 - 15*q - 31. Give i(-8). -44 Let m(b) = 19*b**2 + 113*b - 79. Let f(q) = 32*q**2 + 188*q - 136. Let k(c) = 7*f(c) - 12*m(c). Give k(-10). -4 Suppose -4*x = -5*x - 12. Let t(o) = -10*o + 2401. Let k(z) = -2*z + 434. Let a(w) = 11*k(w) - 2*t(w). Give a(x). -4 Let w(k) = 12001*k**2 - 5*k + 12 + 12054*k**2 - 24054*k**2. Give w(11). 78 Let l(n) = -n**2 + 1 - 4 + 3 - 2 - 6*n. Let z(d) = 12*d - 275 - d**2 - d + 22*d. Let s be z(15). Calculate l(s). 3 Let v(d) be the first derivative of 1/2*d**2 + 7/3*d**3 + 14 + 0*d. Determine v(-1). 6 Let j be ((-425)/170)/((-2)/(-12)). Let q(x) = -x**2 - 17*x - 26. Give q(j). 4 Let k(l) = l**3 - l. Let v be k(-1). Let f(b) = 623 + 761 + 2*b - 1388. Determine f(v). -4 Let w(d) = 484*d**2 - 485*d**2 - 5 - 2 - 4*d - 4*d. Let z(b) = -b**3 + 7*b**2 - 4*b - 1. Let a be z(6). Let f be (-9 + a)*(-14)/4. Calculate w(f). 0 Let u be ((-2718)/162 - -16) + 4/(-18). Let d(n) = 9*n**2 + 13*n. Let q(z) = 8*z**2 + 11*z. Let x(a) = -5*d(a) + 6*q(a). Give
{ "pile_set_name": "DM Mathematics" }
38 is divided by 215. 203 Calculate the remainder when 6098 is divided by 1129. 453 Calculate the remainder when 222050 is divided by 70. 10 Calculate the remainder when 1284013 is divided by 14. 3 Calculate the remainder when 18088 is divided by 412. 372 What is the remainder when 14308 is divided by 54? 52 What is the remainder when 22182 is divided by 5517? 114 Calculate the remainder when 1325 is divided by 136. 101 Calculate the remainder when 12042 is divided by 2958. 210 Calculate the remainder when 212515 is divided by 17. 15 Calculate the remainder when 8098 is divided by 4. 2 What is the remainder when 17310 is divided by 1617? 1140 Calculate the remainder when 284280 is divided by 307. 305 What is the remainder when 82176 is divided by 69? 66 Calculate the remainder when 1532395 is divided by 1786. 7 Calculate the remainder when 2187898 is divided by 561. 559 What is the remainder when 34825 is divided by 611? 609 What is the remainder when 5006 is divided by 264? 254 What is the remainder when 40486 is divided by 6746? 10 What is the remainder when 1497 is divided by 189? 174 Calculate the remainder when 210465 is divided by 26. 21 What is the remainder when 22857 is divided by 11388? 81 Calculate the remainder when 8504 is divided by 67. 62 What is the remainder when 163991 is divided by 137? 2 What is the remainder when 1256 is divided by 614? 28 Calculate the remainder when 5150 is divided by 109. 27 What is the remainder when 506251 is divided by 11? 9 What is the remainder when 9159 is divided by 695? 124 Calculate the remainder when 3503 is divided by 78. 71 Calculate the remainder when 72637 is divided by 72356. 281 What is the remainder when 913209 is divided by 9? 6 Calculate the remainder when 16401 is divided by 146. 49 What is the remainder when 13476 is divided by 799? 692 What is the remainder when 2647 is divided by 272? 199 What is the remainder when 5201278 is divided by 30? 28 What is the remainder when 19130 is divided by 9334? 462 Calculate the remainder when 121041 is divided by 2814. 39 What is the remainder when 6844 is divided by 112? 12 Calculate the remainder when 1564 is divided by 198. 178 Calculate the remainder when 15737 is divided by 129. 128 Calculate the remainder when 71675 is divided by 23859. 98 Calculate the remainder when 45466 is divided by 865. 486 Calculate the remainder when 1046 is divided by 199. 51 What is the remainder when 25427 is divided by 10? 7 What is the remainder when 143038 is divided by 749? 728 What is the remainder when 50868 is divided by 28? 20 What is the remainder when 549314 is divided by 9? 8 What is the remainder when 419207 is divided by 394? 385 Calculate the remainder when 23383 is divided by 23312. 71 What is the remainder when 2180 is divided by 128? 4 What is the remainder when 3426 is divided by 33? 27 Calculate the remainder when 3684 is divided by 3671. 13 What is the remainder when 15503 is divided by 15501? 2 What is the remainder when 98566 is divided by 13? 0 Calculate the remainder when 4992 is divided by 2453. 86 Calculate the remainder when 11491 is divided by 11456. 35 Calculate the remainder when 58750 is divided by 192. 190 What is the remainder when 15198 is divided by 28? 22 What is the remainder when 197705 is divided by 35? 25 What is the remainder when 167538 is divided by 149? 62 Calculate the remainder when 111850 is divided by 9. 7 Calculate the remainder when 3759 is divided by 173. 126 Calculate the remainder when 9898756 is divided by 53. 52 Calculate the remainder when 114805 is divided by 226. 223 What is the remainder when 2123903 is divided by 24? 23 Calculate the remainder when 272111 is divided by 22. 15 Calculate the remainder when 1175 is divided by 148. 139 What is the remainder when 65124 is divided by 17? 14 Calculate the remainder when 76936 is divided by 81. 67 Calculate the remainder when 3335 is divided by 271. 83 What is the remainder when 2470 is divided by 604? 54 Calculate the remainder when 3299 is divided by 1957. 1342 What is the remainder when 5500 is divided by 27? 19 Calculate the remainder when 32277 is divided by 72. 21 Calculate the remainder when 21554 is divided by 196. 190 Calculate the remainder when 3904 is divided by 157. 136 What is the remainder when 16168 is divided by 16162? 6 Calculate the remainder when 15950 is divided by 239. 176 What is the remainder when 3535 is divided by 1622? 291 What is the remainder when 2978 is divided by 960? 98 Calculate the remainder when 35122 is divided by 281. 278 Calculate the remainder when 7328 is divided by 157. 106 Calculate the remainder when 341051 is divided by 1043. 1033 What is the remainder when 26020 is divided by 182? 176 Calculate the remainder when 19662 is divided by 37. 15 Calculate the remainder when 3537 is divided by 185. 22 Calculate the remainder when 21197 is divided by 589. 582 Calculate the remainder when 52027 is divided by 3060. 7 What is the remainder when 71026 is divided by 5073? 4 Calculate the remainder when 109 is divided by 101. 8 Calculate the remainder when 84335 is divided by 51. 32 Calculate the remainder when 17205 is divided by 4257. 177 What is the remainder when 2724 is divided by 5? 4 What is the remainder when 687 is divided by 189? 120 What is the remainder when 12657 is divided by 183? 30 Calculate the remainder when 1053 is divided by 176. 173 What is the remainder when 308401 is divided by 102800? 1 Calculate the remainder when 2707 is divided by 781. 364 Calculate the remainder when 24204 is divided by 749. 236 What is the remainder when 990625 is divided by 247655? 5 Calculate the remainder when 86688 is divided by 72. 0 What is the remainder when 18987 is divided by 3767? 152 What is the remainder when 1069325 is divided by 534657? 11 Calculate the remainder when 716 is divided by 80. 76 What is the remainder when 14377 is divided by 7128? 121 What is the remainder when 88083 is divided by 76? 75 Calculate the remainder when 1859 is divided by 352. 99 Calculate the remainder when 894 is divided by 271. 81 What is the remainder when 132513 is divided by 51? 15 What is the remainder when 740506 is divided by 72? 58 Calculate the remainder when 56487 is divided by 1258. 1135 What is the remainder when 8260 is divided by 138? 118 What is the remainder when 294041 is divided by 38? 35 Calculate the remainder when 2830 is divided by 918. 76 What is the remainder when 65370 is divided by 7262? 12 What is the remainder when 7823 is divided by 2566? 125 Calculate the remainder when 208140 is divided by 14867. 2 What is the remainder when 539 is divided by 520? 19 What is the remainder when 10221 is divided by 3184? 669 What is the remainder when 4318 is divided by 1687? 944 What is the remainder when 19924 is divided by 498? 4 What is the remainder when 77751 is divided by 555? 51 What is the remainder when 4478 is divided by 83? 79 Calculate the remainder when 2943299 is divided by 79. 75 Calculate the remainder when 26249 is divided by 103. 87 What is the remainder when 263131 is divided by 7309? 7 Calculate the remainder when 494847 is divided by 30. 27 What is the remainder when 43944 is divided by 136? 16 Calculate the remainder when 39793 is divided by 293. 238 Calculate the remainder when 7913 is divided by 22. 15 Calculate the remainder when 3426261 is divided by 1165. 1161 Calculate the remainder when 1820 is divided by 183. 173 Calculate the remainder when 7800 is divided by 572. 364 Calculate the remainder when 80282 is divided by 1147. 1139 What is the remainder when 57252 is divided by 19079? 15 Calculate the remainder when 18968 is divided by 3729. 323 What is the remainder when 12000 is divided by 1339? 1288 What is the remainder when 165266 is divided by 165209? 57 Calculate the remainder when 41811 is divided by 53. 47 What is the remainder when 3138 is divided by 280? 58 What is the remainder when 39430 is divided by 63? 55 Calculate the remainder when 165219 is divided by 10. 9 Calculate the remainder when 3010 is divided by 751. 6 What is the remainder when 6626 is divided by 3243? 140 Calculate the remainder when 59223 is divided by 76. 19 What is the remainder when 137471 is divided by 195? 191 Wha
{ "pile_set_name": "DM Mathematics" }
ler than -96/8255? False Do 10693 and 10688 have different values? True Is 0 greater than -68/1495? True Which is bigger: 0.426 or -2? 0.426 Which is smaller: -48 or 1789? -48 Which is bigger: 115265 or 115263? 115265 Is 2940 at most as big as 2680? False Does -15254 = -15250? False Which is bigger: 0 or 161/5827? 161/5827 Which is smaller: 1 or -280/45881? -280/45881 Are -14 and 652 unequal? True Are -0.053 and 789.3 equal? False Is -13 at most -3126/259? True Which is smaller: 1 or -50/4537? -50/4537 Is -261 equal to -243? False Is 3/36617 less than 0? False Which is bigger: 18898 or 18896? 18898 Do 4751/46 and 102 have the same value? False Which is smaller: -10/190513 or 0? -10/190513 Are 125221 and 125213 nonequal? True Which is greater: 2/191 or 11573? 11573 Which is greater: 4116 or 4124? 4124 Which is smaller: -56687 or 7? -56687 Which is greater: 0 or -9/166? 0 Are -43597/87 and -502 unequal? True Do 2285442 and 2285444 have different values? True Is -25 greater than 19210? False Are -59062 and -59062 equal? True Which is bigger: -10850/11 or -986? -986 Which is smaller: 177/8 or 170.2? 177/8 Which is bigger: 3753847 or 0? 3753847 Which is smaller: -460 or -28? -460 Are 7 and -9/11623 non-equal? True Which is greater: -2457/587 or -3? -3 Is 90 less than or equal to -7/6? False Is -504 at least as big as -718? True Do -17794 and -17809 have the same value? False Is 6.83 less than or equal to -67.09? False Is 4/282809 less than or equal to 1/4? True Which is bigger: 274 or 319? 319 Which is smaller: 77 or 3174? 77 Which is smaller: -0.289 or -15? -15 Which is smaller: 1286854 or 9007983/7? 1286854 Is 2/6282041 at most 0? False Which is smaller: -0.2 or -4501219? -4501219 Is -124564 <= -124565? False Which is greater: -1 or -3/295573? -3/295573 Is -39816 >= -39849? True Which is smaller: -22.64992 or 0? -22.64992 Which is smaller: 226 or -138? -138 Are -59306 and -59336 non-equal? True Is -195 equal to -7992/41? False Are 7235 and 79580/11 unequal? True Which is greater: 2/54071 or -2? 2/54071 Does 3 = 5868/1397? False Are 0.1 and 0.153308 unequal? True Is 2009 at least -1.9? True Which is smaller: 476.4 or -51? -51 Which is smaller: 1028 or 1088? 1028 Which is greater: -156231 or -156230? -156230 Are 6416/171 and 38 unequal? True Which is greater: -29982 or -29981? -29981 Which is smaller: 0 or 123/2174? 0 Which is smaller: -36652 or -36654? -36654 Which is smaller: 15 or 1653? 15 Which is bigger: 2249/35 or 63? 2249/35 Is 1 at most as big as 1180/1249? False Is -24745 at most as big as -24745? True Which is smaller: 418203 or 418202? 418202 Is 0 <= 8/1419? True Which is greater: 0.0516 or -46? 0.0516 Which is smaller: 2/165 or -1004? -1004 Is -37 at most -32883? False Which is bigger: -2/9719 or 409/4? 409/4 Which is greater: -1 or -26/3349? -26/3349 Is -56806 less than 42? True Is -1 less than or equal to 352.307? True Is -28/20035 at most as big as -1? False Is 16 < 1590/107? False Is 61583/10 >= 6158? True Which is bigger: 422867/4 or 8? 422867/4 Which is greater: -26204/15 or -1747? -26204/15 Is 4672 at least as big as 4680? False Is 0.751082 bigger than 1? False Which is bigger: 3 or -188/869? 3 Which is smaller: 0 or 6564049? 0 Which is smaller: 0 or 39/5732? 0 Is -1/1131827 at most as big as 0? True Is 1/140123 != -1? True Which is bigger: 1436 or 187? 1436 Which is smaller: 75/52676 or 0? 0 Is -11388 greater than -11401? True Which is smaller: -590185 or -2950924/5? -590185 Which is smaller: -1 or 221/1882? -1 Which is bigger: 24335/11 or 2213? 2213 Which is greater: -2 or -135130? -2 Is -0.2 smaller than -43/12218? True Which is greater: 0.35218 or 0.06? 0.35218 Are -1478614 and -1478615 nonequal? True Is -9171 greater than or equal to -9230? True Which is greater: -2034 or -47? -47 Which is smaller: 1 or 4/68129? 4/68129 Is 1 greater than -82/15895? True Which is smaller: -16/3559 or 0? -16/3559 Which is bigger: 1085 or 1688? 1688 Which is smaller: 25931 or 25938? 25931 Which is greater: 23/3 or 2.17? 23/3 Is 591 at most as big as 52568/89? False Is -5968 smaller than -14/5? True Which is smaller: -2 or 7730? -2 Which is greater: 4471 or 4466? 4471 Which is bigger: 0.1 or -1977359? 0.1 Is 0 <= -154505? False Which is smaller: -7 or -4625? -4625 Which is smaller: -229/6 or -2/189? -229/6 Is -547 greater than or equal to -538? False Which is smaller: -3599 or -101/3? -3599 Are 5 and -94303 non-equal? True Which is bigger: -1043 or -1058? -1043 Are 2 and -3.21185 unequal? True Which is smaller: 1.262 or -0.2? -0.2 Which is greater: -201/143 or 4? 4 Which is smaller: -52 or 1/8757? -52 Is 0 <= -130/80681? False Is -483/22 > 1? False Which is bigger: -143721 or -143720? -143720 Is 1629227/5 equal to 325845? False Which is greater: -0.2 or 50029? 50029 Do 3/2177207 and 0 have the same value? False Are 1 and -6/388411 equal? False Is 19184 < 5? False Which is bigger: -2/3 or 1830024? 1830024 Is 689009 less than 1/3? False Is 218329 less than or equal to 218329? True Is -32/17443 greater than 0? False Which is bigger: 58 or -33/10? 58 Is 15/4717 != -1? True Is 9 less than 2/2327? False Is -4430.4 at most 1/27? True Which is smaller: 583 or 587? 583 Which is smaller: 1156954 or 3470863/3? 1156954 Do -50097 and -50097 have the same value? True Is -5290/21 at most as big as -253? False Which is greater: -0.1 or -45.581? -0.1 Is -2039628 not equal to -2/7? True Do 60128 and 60123 have the same value? False Which is smaller: -671542 or -671544? -671544 Which is smaller: -18241 or -18239? -18241 Which is bigger: -280585/7 or -40084? -280585/7 Is -29128 <= -174775/6? False Which is bigger: -1765 or -1782? -1765 Which is smaller: -0.11 or 195? -0.11 Which is greater: -66949 or -66951? -66949 Is 422 less than 478? True Is 159122 < 159122? False Which is smaller: 20.17 or 10.7? 10.7 Is -2 bigger than -1138/1259? False Is -541 less than or equal to 1998? True Is -0.60077 <= 2/3? True Is 8115/17 less than or equal to 478? True Which is smaller: -167124 or -167126? -167126 Which is smaller: -781 or -299? -781 Is 347 < -804? False Which is greater: -1 or -54/70777? -54/70777 Which is bigger: -2 or -323/277? -323/277 Is 2314 greater than -12? True Is -1/200963 less than 0? True Is -109 < -181? False Which is bigger: -10/41 or 2/79903? 2/79903 Is 2.297964 > -0.1? True Is -269375 bigger than -269375? False Which is smaller: 9730/191 or 2/5? 2/5 Which is greater: 19 or 523/29? 19 Is -5906 <= -5907? False Does -1 = -24/8227? False Is -7448/115 less than or equal to -64? True Do -9419.9 and -0.1 have the same value? False Are 4/898231 and -1 nonequal? True Which is smaller: -4/496805 or 0? -4/496805 Is 50143 > 50237? False Which is bigger: 194128 or 194129? 194129 Does 0 = 5/222554? False Which is greater: 20 or -222189? 20 Is 1 bigger than 11716/3? False Which is bigger: 1.37 or 117/5? 117/5 Which is bigger: 1 or 3/2915329? 1 Which is smaller: 83111/3 or 27704? 83111/3 Are 109788 and 109786 non-equal? True Is 2792 at least 30724/11? False Which is smaller: -181/6375 or 0? -181/6375 Which is greater: -3/28 or 23059? 23059 Which is bigger: 0 or -95/3843? 0 Is -69843/7 at least as big as -9978? True Is -4677602/11 equal to -425238? False Which is greater: -2/851813 or 1? 1 Which is bigger: 330212 or 330211? 330212 Which is greater: -1 or -19/53176? -19/53176 Are -3673 and -199 nonequal? True Which is bigger: 29476 or 0.3? 29476 Which is greater: 4/123 or 25.1? 25.1 Is 4337 less than or equal to 4332? False Is 1.2 at most as big as 54876? True Which is smaller: 0 or -8/612755? -8/612755 Is 1918755 at most 1918755? True Which is smaller: 13530 or -69? -69 Which is greater: 7/3257 or -1? 7/3257 Are 0 and 310/1307 unequal? True Do 2/3 and -65.86 have different values? True Which is greater: -135/13 or 4? 4 Which is bigger: 0 or 441/2746? 441/2746 Is 1 <= -50/8411? False Is -5248 greater than -5259? True Which is bigger: 27939/4 or 6984? 27939/4 Which is smaller: -1 or 0.301174? -1 Which is smaller: 8858 or 8745? 8745 Is -1 greater than 1/13287? False Is -46718 > -46724? True Which is smaller: 828931/2 or 414466? 828931/2 Which is bigger: 523175 or 523171? 523175 Is 0 less than 524/4859? True Is -0.057926 greater than or equal to 0.2? False Which is great
{ "pile_set_name": "DM Mathematics" }
- 1. Let f = 1/19 - 24/95. Which is the second biggest value? (a) -2/11 (b) p (c) f a Let u be 120/224 + 1/(-4). Let p be 1/(-4) + (-7)/4. Let x be -1 - (p + -2) - 1. Which is the smallest value? (a) u (b) x (c) -5 c Let c = 12 + -47/4. Let j = 0.14 - 7.14. Let d = j + 7. What is the smallest value in -2, d, c? -2 Let z = -43 - -43.2. Which is the second smallest value? (a) z (b) 1 (c) 0.1 a Let g = 2.9 - -1.1. Let n = 3 - g. Which is the third biggest value? (a) -0.3 (b) -4 (c) n b Let i be -4 + (-1)/(-3) + (-49)/(-15). Which is the smallest value? (a) i (b) -5 (c) -1/4 (d) 0 b Let v be (9/6)/((-20)/(-8)). Which is the third biggest value? (a) 0.5 (b) v (c) 5/2 a Let t = 0.17 - -0.83. What is the third smallest value in t, 3/7, 0.02? t Let o be 0 - 0/(-3*3/(-9)). Which is the second smallest value? (a) o (b) 5 (c) 0.4 c Let m = -20.7 - -21. What is the biggest value in -0.1, -3/5, m? m Let c = 554/7 + -4523/56. Let j = -23/24 - c. What is the smallest value in 2/5, -1/4, j? -1/4 Let y = 217/6 + -36. What is the second smallest value in 0.03, -3, y? 0.03 Let p be -1 - 294*6/2788. Let h = p - -29/17. Let z = 23/246 + h. Which is the second smallest value? (a) -0.3 (b) 5 (c) z c Let n be (0 - -2)*(-3)/2. What is the second biggest value in n, -0.1, 0? -0.1 Let x = -37/14 - -15/7. What is the second biggest value in x, 2, 7? 2 Let l be 1/2 + (18/(-52) - 0). Let k = -1.8 + -0.2. Let n = 2.1 + k. What is the second biggest value in n, l, 1? l Let j be -2 + 26/9 + (-10)/45. What is the third smallest value in j, 3, -4, -8? j Let h be (-2)/4 + 18/20. Suppose i + 7 = 11. Let x = -97 - -677/7. Which is the third biggest value? (a) x (b) i (c) h a Let o = 0.8 - 1. Let r = o - 0.3. Let v = 7.3 - 7. Which is the second smallest value? (a) -3 (b) v (c) r c Suppose -5*l = -d + 17, -3*l = d + 9 + 6. Which is the second smallest value? (a) d (b) -5 (c) -1/5 a Let u = -69.5 + 70. Which is the third smallest value? (a) u (b) -9/4 (c) 0.3 a Let f = 32 - 27.6. Let o = -0.6 - f. What is the second smallest value in o, -4, 2/47? -4 Let g = -63 + 38. Let m be (-10)/g + (-12)/5. Let w be (-2 - 1)*(1 + m). Which is the smallest value? (a) w (b) -0.4 (c) -4 c Let w(s) = 2*s**3 - 2*s**2 - 3*s - 1. Let o be w(-1). What is the second smallest value in -1/2, 1, o? -1/2 Let y be 132/(-16) + 2/(-1). Suppose g = -3*g, 4*h - 40 = 4*g. Let d = y + h. What is the third biggest value in d, -0.5, 2? -0.5 Let h = -0.11 - 0.19. What is the second smallest value in h, -0.4, -1/9? h Let n = -0.5 - 3.5. Let v = 72.7 + -73. What is the second smallest value in v, 2/5, n? v Let o = 0.02 + -0.12. Let r = -12 - -12.07. What is the biggest value in -3, o, r? r Let j(q) = q**2 + 10*q + 7. Let z be j(-9). Let g be ((-14)/(-21))/(z/3). Which is the smallest value? (a) g (b) 2 (c) 0.4 a Let j = -5 - 0. What is the smallest value in j, 3, -5/2? j Let g = -16.78 + -0.22. Which is the second smallest value? (a) g (b) -0.1 (c) 4 (d) 1/3 b Let n = 2.14 - -0.91. Let r = 0.05 - n. Let t = 1 + -1. Which is the third biggest value? (a) 2 (b) t (c) r c Let j = 0.04 + -1.14. Let z = j + 1. What is the smallest value in 2/15, -5, z? -5 Let k = 9 + -8. What is the third biggest value in k, 0.2, 3? 0.2 Let p = -1 + -1. Let x be ((-27)/42)/((-12)/14). Which is the third smallest value? (a) p (b) x (c) -2/3 b Let y be 1 + (-572)/5 + 1. Let f = 112 + y. Suppose -4 = -2*i - n - n, 4*i - 6 = -5*n. Which is the second biggest value? (a) i (b) f (c) -2 b Let n = 0 + 0. Let o(t) = t + 10. Let k be o(-9). Let u be 0/5 + k/(-7). Which is the biggest value? (a) n (b) -0.2 (c) u a Let x = -12/7 + 2. Suppose -2*j - 5*n - 4 = 0, 2*j = -j + 3*n - 6. What is the smallest value in j, -1/4, x? j Let x = -0.7 + 1. Suppose 0 = -3*q - 3*l - 24, 2*l + l + 14 = -q. Let h be (6/5)/((-4)/q). What is the second smallest value in h, x, 5? h Let n = -0.24 + -0.76. Let u = 1.1 + -1. Let w = 3 + -1. Which is the biggest value? (a) n (b) u (c) w c Let w = -30 - -30.3. Let v = 418/9 + -29687/639. Let p = v - -291/497. Which is the second biggest value? (a) p (b) 3 (c) w a Let o(x) = x**3 - 12*x**2 - 5*x - 2. Let m be o(12). Let h = m + 311/5. Which is the smallest value? (a) h (b) 2/9 (c) 3/8 a Let o = -3 - -1. Suppose 3*f - 128 = 124. Let z be 4/(-14)*f/(-108). What is the second smallest value in z, o, 2/17? 2/17 Let x = -1.6 - -1.9. Which is the third smallest value? (a) x (b) -3 (c) 3/4 c Let m be -5*1/2*-4. Let v be (m/15)/((-2)/3). Which is the third biggest value? (a) -3 (b) 3/4 (c) v a Let t = -71 + 71.2. What is the smallest value in t, 2/7, -3/5, 4? -3/5 Let w = 0.35 + 0.05. Which is the second biggest value? (a) w (b) 0.2 (c) -2/5 b Suppose 5*u - 4*u + 4 = 0. Let a be (u/3)/(2/6). Let v be (3/21)/(a/8). What is the smallest value in 0.4, 0.3, v? v Let z = -17 + 12. Let i = -1 + 1. Let l = 0.5 - i. Which is the third biggest value? (a) l (b) -0.4 (c) z c Let j = -2 - -2.2. Which is the third smallest value? (a) j (b) -0.5 (c) -0.2 a Let h = 4 - 1. Let d be h/((-2)/2)*-1. Suppose 0 = d*s + 5*v + 35, -v = -s + 1 - 2. Which is the third smallest value? (a) 1/2 (b) s (c) -0.2 a Let t = -0.01 + 4.01. Let y = 189 - 189.3. Which is the biggest value? (a) -5 (b) y (c) t c Let b = 3001/11 - 273. Let f = -23 - -23. What is the biggest value in f, 1/5, b? 1/5 Let r = 4266785296803/34215461 - -7/4887923. Let g = -124953 + r. Let n = g - -250. What is the smallest value in -0.2, n, -2? -2 Let f = -83.3 + 83. Which is the biggest value? (a) 0.2 (b) 2/3 (c) 3 (d) f c Let f = 0.54 + -0.24. What is the second biggest value in 2, f, 3? 2 Let d = 49.4 + -40. Let v = -9 + d. Which is the second biggest value? (a) 2/17 (b) -1/4 (c) v a Let o = 7 - 6.7. Which is the third biggest value? (a) o (b) 0.1 (c) -6 c Let r = -1 - 2. Let l = 284 - 280.01. Let t = l + 0.01. What is the third biggest value in -0.2, t, r? r Let v = -0.38 + -0.02. Let f = 1 + v. Let z = 2.6 - f. Which is the biggest value? (a) 2/5 (b) z (c) 4 c Suppose 5*f - 6 = -11. Which is the third smallest value? (a) f (b) 3 (c) 1 b Let j be (-68)/14 + 30/(-210). Suppose -3*v + 6*v = -k - 8, 4*k - 28 = 3*v. Which is the smallest value? (a) 2/5 (b) k (c) j c Let r = -6 + 9. Let x be 92/(-20) - (-4)/(-10). Let w be 1 + (-2 - 0) - x. What is the second smallest value in 2, w, r? r Let t = -22.4 + 22. Let f = -3 + 2.8. Which is the second smallest value? (a) t (b) -1/3 (c) f b Let w = 38 + -40. Which is the second biggest value? (a) 0.1 (b) w (c) -7 b Let z(x) = -x**3 - 6*x**2 - 4*x. Suppose 4*w = -14 - 6. Let m be z(w). What is the smallest value in 1/3, m, -0.4? m Suppose 0 = 2*r - 0*r + 32. Let d = r + 11. Let i be 0 - (-2)/(-4)*d. Which is the smallest value? (a) -4 (b) 1/4 (c) i a Let i be 9/(-45)*(-10)/8. Let r = -23/4 + 127/20. Which is the second biggest value? (a) -0.2 (b) r (c) i c Let m = 12 - 9. Which is the third biggest value? (a) -6 (b) 2 (c) m a Let l = 27 + -25. Which is the second biggest value? (a) -0.2 (b) -4 (c) l a Let i = -1/5 + 7/10. Let v = -1.38 + 0.98. What is the second biggest value in 4, v, i? i Let t = -14 + 67/5. Let j = -0.0219 + -3.0081. Let k = j - -0.03. What is the second biggest value in -2, t, k? -2 Let m = -22 + 21.8. Let v = -51/22 - -5/2. What is the third smallest value in -2, v, m? v Let s = 0.7 - 1.3. Let p = 5.6 + s. Which is the second biggest value? (a) 0 (b) 3 (c) p b Let q = -286 + 3148/11. What is the second smallest value in q, 42, 5? 5 Let h = -1 + 2. Let s be (h - (-2 + 2))/3. Let p = 3 - 7. Which is the second smallest value? (a) p (b) s (c) 1/7 c Let q = 9 + -3. Let x = -0.06 - 4.94. Let z = x - -4. Which is the second biggest value? (a) -3 (b) z (c) q b Let d = 7.03 + -0.03. Let x = 2 - d. What is the smallest value in 1, x, 5? x Let a = 91 - 91.06. What is the biggest value in 0.5, -2/5, a? 0.5 Let u be -4 + 1 - (-901)/7. Let v = -126 + u. Let w = 548/3393 + -2/261. What is the third smallest value in v, w, -0.2? w Let a = -6 + 4. Let r = 0 + a. Let z = -0.3 + -2.7. What is the second biggest value in 1/4, r, z? r Let x = 15553/54 + -288. Let y = x - 5/27. Which is the third biggest value? (a) 5 (b)
{ "pile_set_name": "DM Mathematics" }
he form p + c*x and give c. 4 Rearrange ((-c - c + 0*c)*(-3 + 2 + 2) + 3 + c - 3)*(-c - 3*c + 3*c) + 11*c**2 - c**2 + 3*c**2 to z*c + g*c**2 + r and give g. 14 Express (7*t - 17*t + 8*t + 149)*(1 - 1 + 3) as h*t + u and give h. -6 Rearrange (112*c - 8*c + 4*c)*(-10*c + 10*c - 33*c) to n*c + g + s*c**2 and give s. -3564 Rearrange (-19 - 21 + 71)*(2*q + 2 - 2) - 2*q - q + 5*q to z + s*q and give s. 64 Rearrange (6*g + 47*g + 3*g)*(-145 + 21*g**2 + 145) to the form f + d*g**3 + y*g + j*g**2 and give d. 1176 Rearrange (-13*y**2 + 85*y**2 + 6*y**2)*(-3*y + 2*y + 3*y)*(-2 + 3 + 1) to the form z*y**3 + t*y + d*y**2 + g and give z. 312 Express -106*h**3 + 356*h**3 - 34 + 32 + 229*h**3 in the form n*h**2 + d*h**3 + b*h + p and give d. 479 Express 7 - 11*a - 3 - 6 + (-3 - a + 3)*(2 - 1 - 2) + 4*a + 4*a - 6*a - 5*a + 5*a - 2*a - 268 + 49*a + 268 in the form o + p*a and give o. -2 Rearrange ((t**2 + 0*t**2 - 2*t**2)*(34 + 12 - 17) + 5*t**2 - 2*t**2 + 0*t**2)*(0*t - 4*t + 2*t) to the form h*t**2 + b + w*t + q*t**3 and give q. 52 Express -3*v - 2*v - 12 - 1 - 2*v in the form f*v + p and give f. -7 Express (-4*y**2 - 2 + 88*y + 6*y**2 - 76*y)*(2*y + 8*y - y + (5 - 2 - 2)*(2*y - 2*y - 2*y)) in the form m + l*y + i*y**2 + z*y**3 and give i. 84 Rearrange 0*f - 3*f + 2*f + (-3 + 3 + 2*f)*(-4 + 5 + 1) + 0*f + 2*f - f - 3*f - 2*f - 4*f + (2*f + 0*f + 2*f)*(-1 - 1 + 4) to the form u*f + t and give u. 3 Express -10 + 34 - 2*t**2 - 2*t**3 + 3*t + t**3 - 26 in the form b*t + k*t**2 + i*t**3 + z and give k. -2 Rearrange -99*j**3 - 5 + 3 + 1 + 266*j**3 to c*j + b + q*j**2 + r*j**3 and give c. 0 Rearrange (-1 - 5 + 0)*(-2*r + 7*r**2 + 2*r)*(-5 + 15 - 4) to the form i*r**2 + f + h*r and give i. -252 Rearrange (d - 10*d - 9*d)*(d + d - d)*(0 + 3 - 1)*(-3*d + d + 0*d) - 2*d**3 - d**3 + 0*d**3 to r*d**3 + v*d + l + c*d**2 and give r. 69 Express 0 - 2*m**4 + 7*m + 58717*m**2 - 58715*m**2 - m**3 + 3 in the form c*m**2 + q*m + i + w*m**4 + t*m**3 and give t. -1 Rearrange 64*o**3 - 111*o**3 - o - 32*o**2 + 29*o**2 to p*o**2 + h + w*o**3 + u*o and give u. -1 Rearrange (52 + 4 + 37)*(2*u - u**2 - 2*u)*(-u + 2*u + 0*u) to the form f*u**2 + p*u**3 + d + b*u and give d. 0 Rearrange -41 - 5*r - r - 4*r - 3*r + 10*r to o + w*r and give o. -41 Rearrange -p + 4*p + 5*p**2 + 2 + 2*p**2 + 5*p**3 + p**3 + 0 to g + b*p**3 + w*p + z*p**2 and give w. 3 Rearrange -2*s + s + s**4 + 0*s + (3*s**3 - 3*s**3 + 6*s**3)*(s - 10 + 18 + s) to k*s**2 + p + w*s + o*s**3 + u*s**4 and give k. 0 Rearrange -22 - 10 - 14 - 58 + 2*m to the form b*m + t and give t. -104 Express (-5*t + 1 + 1 + t)*(-1 + 4 - 2) - 501*t + 2*t + 260*t in the form y + f*t and give f. -243 Rearrange -340*x - 1356 - 1365 + 2722 to the form i + q*x and give q. -340 Rearrange (j + 4*j - 6*j)*(1402 + 65 + 1542 - 865 + 3082) to the form n*j + y and give n. -5226 Express (-h - h - h)*(-24 + 60 - 57)*(-h + 2*h + h) as g*h**2 + c + v*h and give g. 126 Express 20 + 28 - 20 - 81*q + 77*q as s + f*q and give s. 28 Express (7*t**2 + 8*t - 8*t)*(6*t + 2*t + 11*t) + t**3 + t + 4*t**2 - 3*t - 3*t**2 in the form x*t**3 + a + o*t + i*t**2 and give i. 1 Express (8 + 1 - 5)*(2 + 1 - 5)*(3*k**4 + 2*k**4 - 3*k**4) - 5 + 5 + k**4 as b*k + i*k**4 + l*k**2 + g*k**3 + h and give i. -15 Rearrange (j + 3*j - 5*j)*(-2*j**2 + 0*j**2 + 0*j**2) + 8083 - 65*j - 116*j + j**2 - 8079 + j**3 to the form w + l*j**2 + b*j**3 + n*j and give l. 1 Rearrange 107*l + 193 + 61*l - 98 - 96 to x + q*l and give q. 168 Rearrange (-3*j - 2*j + 4*j)*(1 + j - 1) + 1065*j**2 + 664*j**2 + 1916*j**2 - 614*j**2 + 164*j**2 to the form w*j**2 + i*j + t and give w. 3194 Express 49*n - 709*n**2 + 59*n - 74*n**2 - 108*n as c + r*n + q*n**2 and give q. -783 Rearrange n + 91*n**3 + 3*n**2 - n**4 - 47*n**3 + 3 - 46*n**3 to the form u*n**3 + t*n**2 + p + k*n + f*n**4 and give p. 3 Rearrange 78 + 6*z - 2*z + z + 3*z**3 - 88 to d*z + g*z**3 + u + b*z**2 and give g. 3 Rearrange 12 + 6*k + 2 + 280*k**2 - 14 - 273*k**2 + 2*k**3 - k**4 to z*k**4 + x*k**2 + m + r*k + f*k**3 and give f. 2 Express (-2*u - 2 + 2)*(2 - 2 - 4)*(21*u + 16*u - 35*u) in the form f*u + a*u**2 + t and give a. 16 Express 403 - 403 + 47*j**2 as m*j + f*j**2 + g and give f. 47 Express -1169*k**2 + 188*k**2 - 567*k**2 in the form w + z*k + r*k**2 and give r. -1548 Rearrange 48*r**2 + 30*r**2 - 219*r**2 - 2*r - 383*r**2 to o + l*r**2 + v*r and give l. -524 Express 2*a + 3 + 0*a - 2 - 8*a as b*a + z and give b. -6 Express 0*w + 2*w - w + (62 - 29 - 9)*(-2*w + 4 - 4) in the form q*w + f and give q. -47 Rearrange -238*d - 207*d + 52*d to the form m + s*d and give m. 0 Rearrange 1 - 174*x - x**4 + x**2 + 352*x - 185*x to p*x**3 + y*x**2 + w + t*x**4 + l*x and give w. 1 Rearrange (-4 + 3 + 3)*(0*r - 3*r + r)*(0 + 2 - 5) + 358*r + 265*r - 763*r to the form p + j*r and give j. -128 Rearrange (-3*i + 3 - 3)*((2 + 11 + 2)*(5*i - i - 3*i) - i + 3*i - 4*i) to p + r*i**2 + b*i and give r. -39 Rearrange -215*y + 338 + 432*y - 218*y to the form g*y + v and give v. 338 Rearrange -677880 + 677880 + 1080*c**2 to the form t*c + f*c**2 + r and give f. 1080 Rearrange (22 - 60 + 4)*(-6 + 5 + 9)*(-1 - 2*s + 1) to g*s + n and give g. 544 Rearrange (0*m - 3*m + 0*m)*(-4 - 13 + 8)*(1 - 1 - 2*m) to the form k + u*m + o*m**2 and give o. -54 Express (-8 + 24 - 7 + 28)*(-4*u**2 + u**2 + 0*u**2) - 2*u**2 - 5*u**2 - u**2 in the form x*u**2 + i + r*u and give r. 0 Express -341*c**2 + 341*c**2 - 98*c**3 - c**3 - c + c + (2*c - 2*c**2 - 2*c)*(c + 2*c - 2*c) + c**3 - 5*c**3 + c**3 as v*c + w*c**3 + d*c**2 + f and give w. -104 Express -10 - 3*y**2 - 4*y**2 - 21*y**2 in the form o*y**2 + w*y + b and give o. -28 Rearrange 623 + m**2 - 2*m**2 - 2*m**3 - 17*m - 619 to the form t*m**2 + h*m + j*m**3 + u and give u. 4 Rearrange 97*f + 38*f - 34*f - 2*f - 2*f + 6*f + (-f + 4 - 4)*(2 - 6 - 1) to the form u*f + l and give u. 108 Express 44*t + 16*t**3 - 35*t**3 + 17*t**3 + 19*t**3 in the form s + j*t**2 + v*t**3 + l*t and give v. 17 Express -23*b**2 - 6*b**3 + 2*b**4 + b - 9 - 21*b**3 + 23*b**2 as j*b**4 + q*b**2 + l + g*b**3 + f*b and give l. -9 Rearrange -2 - 545*u**3 - 7*u**2 + 4*u**2 + 549*u**3 to the form w*u**2 + b*u + m*u**3 + d and give b. 0 Express -6*q**2 - 2*q - 213 + 7*q**2 + 2*q**3 + 214 - 3*q**4 as f*q**4 + w*q**2 + h + u*q**3 + j*q and give f. -3 Express -2*g**4 + 1497 - 6*g + 30*g**2 + 3*g - 1496 in the form y*g**2 + h*g**4 + f + z*g + x*g**3 and give h. -2 Rearrange (-2*y**2 - 2*y**2 + 5*y**2)*(138 - 58 - 55 - 2*y)*(-13 + 2 + 2) to u*y**3 + a*y**2 + p*y + q and give a. -225 Rearrange -69*b**4 + 67*b**4 - b**2 + 55*b**3 + 2*b - 1 - 52*b**3 to the form w*b**3 + o*b**2 + r + v*b + i*b**4 and give r. -1 Express -773*c - 2*c**4 + 3*c**4 + 4*c**3 + 2*c**4 + 786*c - 1 as m + j*c**2 + f*c**4 + q*c + x*c**3 and give x. 4 Express -5629*c**2 + 11259*c**2 + 2 + 1206*c - 5629*c**2 + (2*c - 4*c + 4*c)*(4 - 2*c - 4) in the form k*c**2 + m*c + z and give k. -3 Express -45*t**3 - 29*t**2 - t + 19*t**2 + 9*t**2 + 1 as d*t**3 + f*t + s + o*t**2 and give d. -45 Express (-3 - 1 + 5)*(-2*h - 3*h + 6*h) - 2*h + 0*h + 5*h + 8*h + h + 10*h as p*h + u and give p. 23 Rearrange 531*v - 5*v**2 - 1600*v - 23*v**3 + 533*v + 539*v to the form w*v + i*v**3 + n*v**2 + h and give n. -5 Rearrange -411*j - 3*j - 8*j + 4*j to the form v*j + k and give v. -418 Rearrange (-2*k**3 + 3*k**3 + k**3)*(2 + 2*k - 2) - 2731*k**4 + 488*k**3 + 211*k**4 - 488*k**3 to the form d*k**3 + r*k**2 + x*k**4 + c*k + v and give x. -2516 Express (52 - 831*a - 824*a - 824*a + 2475*a)*(5*a**3 - 5*a**3 + a**3) as w*a**4 + q*a + v*a**3 + y*a**2 + g and give w. -4 Express -109*a + 62*a + 11 + 81*a as m + j*a and give m. 11 Express (-2 - 3 + 4)*(-6*y + 3*y + 2*y) + (5692 - 518*y - 5692)*(-4 + 3 - 2) in the form a*y + n and give a. 1555 Express (2 - 5 + 1)*(-4*l + 2*l + 0*l) + 11*l - 5*l - 87 + 105 as a*l + u and give u. 18 Rearrange -38*l**3 + 40*l**3 + 3*l + 0*l - l - 607*l**2 to the form p + w*l**3 + i*l + n*l**2 and give n. -607 Rearrange 2994*y**2 + y**3 + 2994*y**2 - 105*y**4 - 5991*y**2 to r*y + l*y**3 + f*y**2 + o*y**4 + n and give f. -3 Rearrange (3 - 1 - 1)*(-7*o + 77*o + 16*o + (-2*o + 0 + 0)*(2 + 3 - 4) + 0 - 2*o + 0 + 2*o - 2*o + 2*o) to the form l*o + b and give l. 84 Express -w + 243*w**2 - 560*w**2 + 6 + 289
{ "pile_set_name": "DM Mathematics" }
*z + 2*l + 54. Let i be 0 + 0 + 0 - s/z. Solve -f + 8 = f - c, -3*c + 31 = i*f for f. 5 Suppose 0 = 2*r - 21 - 67. Let n = r + -44. Solve 3*q - 5*m + 3 + 8 = n, 4*m = -q + 19 for q. 3 Suppose 0 = -5*u - z + 52, 4*u + 2*z - 7*z = 30. Solve 0 = x - 4*d - 9, 0 = -6*x + u*x + 2*d + 18 for x. -3 Let v be 16/6*(-5 + (-65)/10 - -13). Solve -s = -v*y - 11, 105*s - 108*s = 15 for y. -4 Suppose -4*u + 9*u + 5*n - 10 = 0, -n + 2 = -5*u. Suppose -23*q - 3883 = -3975. Solve -q*t = r - 20, -r + 0*r + 4*t - 20 = u for r. 0 Let m be 5/(-50) + (-2 - 1098/(-180)). Solve 25 = m*x - 4*d + 13, 0 = 3*d + 15 for x. -2 Suppose 61*h - 119*h = 0. Solve -14*u + 9*u - z + 21 = h, -11 = u + 4*z for u. 5 Let h be -3*(942/18 + 6). Let u = h + 180. Solve -6 = -4*n + 2*k, 4*n - k = u*n - 6 for n. 3 Let t be 20 + 13 - 11/(55/(-50)). Solve -27 = -2*b + 3*o, -5*b + 6*o - 2*o + t = 0 for b. 3 Let s = 552 + -549. Suppose 36 = 3*t - 3*v, 0 = -t - v - 24 + 32. Solve s*x - 4*b - t = x, 2*x - 10 = b for x. 5 Let y = 5116 - 5029. Solve -4*w + b - 103 = -y, 3*w - 2*b + 17 = 0 for w. -3 Let j = 70 - 68. Let q be 1*(3 + -3) - j. Let r be 5 - (q + 0 + (-6)/(-1)). Solve -4*k - 3 = r, 3*v = 3*k for v. -1 Let u be (-3 + (-168)/(-49))/(111/518). Solve -3*y + 11 = u, 0 = -5*q - 3*y + 14 for q. 1 Suppose -3*s + 72 = -z, -4*s + z = 3*z - 96. Let h = s + -19. Suppose -y - y = -5*g + 29, 2*g = -h*y. Solve -3 = g*f + 2, -4*u + 10 = -2*f for u. 2 Let a be 8217/1743 - (24/(-126))/((-4)/(-6)). Solve 5*w + 5 - 22 = 4*m, a*w + 2*m = -1 for w. 1 Let u = -80 + 245. Let p = u - 160. Solve -p*l = 3*b - 8, -3*l - 8 = -l + 4*b for l. 4 Let f be (-4 - -1)*(-16)/6. Let x = 188 + 61. Let t = x - 247. Solve d = 5*a - 2*d + 19, t*a + f = d for a. -5 Let z = 4605 - 4601. Solve -6*x = 4*q - 8, 5*x - z*q + 3 = -5 for x. 0 Let o = 8 - 6. Let p = o - 2. Let j be 68/(3944/638) - (-1 - -8). Solve 5*t = 5*b - 40, p = -4*b + b + j*t + 27 for b. 5 Let l(t) = -15*t + 9. Let a(j) = 8*j - 5. Let i(n) = -5*a(n) - 3*l(n). Let u be i(1). Solve u = 3*w + 4*v + 16, 3*w + 1 = -v for w. 1 Suppose 0 = -12*x + 16*x + d - 20, 4*d = x - 5. Let k = 16 - 12. Solve 5*a - 7 = -p, -x = -p + a - k for p. 2 Let k(j) = -9 - 20 - 89*j + 94*j. Let q be k(7). Solve 5*w + 3 = q*w + 5*c, 0 = -5*w - c + 15 for w. 3 Suppose 5*s - 15 = 0, 7*x + 4*s - 12 = 3*x. Suppose x = -21*w + 58 + 5. Solve l - 5 = 4*t, 0*t - 5*t = -w*l + 8 for t. -1 Suppose -4*u = -2*x - 4, -9*x = -7*u - 11*x + 40. Solve 2*o + i - 7 = 0, 5*i - 6 = -5*o + u for o. 5 Let y = 2450 + -2439. Solve 0 = -2*l + 3*s - 3, l - 5*l - y = -s for l. -3 Let s = 2909 + -2905. Solve q + s*o = -12, 18*q - 8 = 15*q - o for q. 4 Suppose f - 2 - 3 = 0. Suppose 0 = 3*b - 3*m - 24, -19 = 4*b - 2*b + 5*m. Let l = f - b. Solve -5*y + 2 = 4*r, -2*r = y + l*y for y. -2 Let c(o) = o**3 + 2*o**2 - 3*o - 4. Let p be c(-3). Let z be ((-2)/(-1))/(-2 + (p - -8)). Solve 0 = -n - 3*u - 13, 2*n = 3*n - u + z for n. -4 Suppose -20*s - 37 - 38 = -115. Solve 0 = -a - 2*t - 5, a - t + s = 3*a for a. 3 Let o = 250 - 260. Let v be 4/10 + ((-26)/o - 1). Let j(t) = 2*t - 7. Let n be j(5). Solve k = -3*a - n, -v*a - 4*k + 5 = -k for a. -2 Suppose 47*x = 49*x - 6. Solve 4*s - 19 = -x*k + 4*k, -2*k = 6 for s. 4 Let h(q) = -7*q - 139. Let u be h(-19). Let n be (-3)/(-2) + (-10 - 69/u). Solve -12 = x - 5*r, 5*x - n*r + 7 = -9 for x. -2 Suppose -p - 3*j = -232 - 41, j + 511 = 2*p. Let w = 259 - p. Solve -3*y = -i + 4, -4*y + 3 + w = i for y. 0 Suppose 0 = 8*m - 4*m + b - 15, -m + 6 = -2*b. Solve 5*x + 3*r = -0*r - 1, -m*x = -5*r + 23 for x. -2 Let g be (0 + 12 - 4)/2. Let a be g*5/(-30)*-3. Suppose 0 = 5*o + 10, a*k - 4*o - 7 = 7. Solve 0 = -3*m - 3*y + 6, -k = -2*m - 5*y + 7 for m. 0 Let h be 168/52 - 417/1807. Solve -2*y + 2*j + 14 = 0, h*y + 347*j = 342*j - 3 for y. 4 Let j = 6 - -65. Suppose -4*q = -3*q + j. Let c = 71 + q. Solve 5*m = 4*v - 1, 3*v + 1 = 2*m - c*m for m. -1 Suppose 0 = -p - 4*l + 15, -p - 12 = -4*p - l. Suppose 20*g = p - 3. Solve g = 2*j - 4*x + 10, 8 = -0*j + 2*j + 5*x for j. -1 Let i = 89 + -79. Suppose i*u + 0*u = -2*u. Solve -10 = 5*x + 2*y - u*y, 2 = -x + 5*y for x. -2 Let l = -5926 - -5930. Solve 2*g = -2*g - 8, 5*i - l*g - 13 = 0 for i. 1 Let j(a) = -a + 16. Let z be j(10). Suppose -25 = -z*l + l. Suppose -4*y - l*d + 4 = -d, -1 = y + 2*d. Solve 19 = -y*g - t, -2*t + 31 = -3*g - 6*t for g. -5 Let t be (-4 - (-35)/14) + 210/4. Solve -4*m + 46 - t = -3*d, 0 = -3*d - 4*m + 13 for d. 3 Let j be (-3)/(-8) - (-2980)/160. Let l be (j/(266/80))/((-6)/(-21)). Solve -2*p + 4*g = 2*g - 14, 0 = -2*p + 5*g + l for p. 5 Suppose 2*x - 372 = 6*k, -5*x + 10*x + 4*k - 892 = 0. Solve 175*g - 25 = x*g, -4*u - g = -7 for u. 3 Let v(w) = w**3 - 17*w**2 - 27*w + 162. Let l be v(18). Solve p - 3*k = 13 - 18, l = 4*p - 5*k + 13 for p. -2 Let r(d) = d**2 - 18*d - 201. Let b be r(26). Suppose b*a + 32 = 60. Suppose -4 - 11 = -5*l. Solve -a*k - l*t + 11 = -8, 2*t = 2 for k. 4 Suppose 37 = 5*j - 23. Let b be (-27)/81*1 - 5/(-15). Solve 5*t + 3*g - j = b, 3*t = 2*g - 4*g + 7 for t. 3 Let a be (91/14)/(-13)*-2. Let c be 1*6/3*a. Solve -28 = 4*z - c*h, -3*h - 15 = -z - 8*h for z. -5 Suppose 5*n - 3*n = -36. Let b = n + 14. Let s be (-1)/b + (-891)/(-36). Solve -7*z = -2*z - 5*x + s, x + 7 = -3*z for z. -3 Let t be ((-3)/(-6))/(3/(-24)). Let q be ((-6)/t)/(1/46). Let s = -49 + q. Solve -4*n - 5*o = s, -n = -2*n + 3*o + 12 for n. 0 Suppose 11 = 13*y - 18*y + 4*c, 0 = 5*y + 2*c - 13. Solve o - 9 = -4, 3*l - o = y for l. 2 Suppose 7*m = 14 + 7. Let s(p) = -p**2 - 18*p - 8. Let w be s(-9). Let c = w + -68. Solve 0 = m*y - 6, c*i - 5*y = -30 for i. -4 Let f be 1/(-10)*5*(-3 + -3). Suppose -f*o + 18 = 4*r, 6*r = o + 2*r + 10. Solve 5*m = -k - 27, 0 = o*k - 0*k - 3*m - 11 for k. -2 Let k(f) = f - 4. Let v be k(9). Let j = -1 + 3. Suppose 2*t = -j*t + 12. Solve 7*h - 2*h - v*o - 15 = 0, -4*h - 23 = t*o for h. -2 Let f be ((-12)/33)/(8/(-44)) + 3. Suppose 3*p + 8 = f*k + 29, -4*p + 14 = -2*k. Solve 0 = 3*u, 3*c + 6*u - 15 = p*u for c. 5 Suppose -5*l = 11*l - 32. Suppose -5*k - 4*d = -l*k + 3, -k + 12 = -3*d. Solve 2*v = z, -4*v = -2*z - k*z for v. 0 Suppose 4*r - 125 = -5*d, r - 28 = 6*d - 4*d. Suppose -r*c + 32*c - 8 = 0. Solve -2*x - 3*l - 12 = 0, -c*x = 2*l + 9 + 7 for x. -3 Let o(u) be the first derivative of -u**3/3 - u**2/2 + 135*u + 41. Let f be o(11). Solve 3*d - 2*h = -3 - f, h - 3 = 5*d for d. 0 Suppose 10*c + 43 - 93 = 0. Solve -5*g + c*d - 15 = -3*g, 0 = 3*d - 9 for g. 0 Let w = 30 - 6. Let t = w - 24. Suppose u + 0*u = t. Solve -z + 6*z - 2*j - 5 = u, -5*z - j + 5 = 0 for z. 1 Let v = 326 + -302. Let g be v/(-27)*-24 - 2/6. Solve 4*q + 12 = h, -6 = -5*q - 3*h - g for q. -3 Let v(p) = -p - 8. Let w(r) = r + 7. Let k(u) = -5*v(u) - 4*w(u). Let b be k(-7). Suppose 28*m - 74 = 66. Solve -17 = -o - o + m*z, -3*o + 13 = -b*z for o. -4 Suppose 5*m - k = 543, -m + 251 = -4*k + 169. Solve -4*c = -113*r + m*r + 3, -4*c + 3 = 3*r for c. 0 Suppose 211 + 248 = 17*l. Suppose -2*z = -2*a - l + 1, -37 = -4*z + a. Solve 3*b + z = -h, 4*b + 3*h = 5*h + 6 for b. -1 Let t be (-8*(-30)/320)/((-1)/(-40)). Suppose 75 = -2*q + 7*q + 4*b, -5*b = -2*q - 3. Suppose -g - t = -q*g. Solve a - g*a + 2*z = 8, -a - 2*z + 2 = 0 for a. -2 Let g be (-55 - -57)*(-8)/(-2*2)*2. Solve -3*y + 4 = 10, -3*i - 2*y = -g for i. 4 Let v(l) = l**3 - 28*l**2 + 50*l + 57. Let q be v(26). Suppose -q*k = 11*k - 2*k. Solve -4*p = 2*o - 16, -o - 3*p = -11 - k for o. 2 Suppose -46*p + 1708 = -4548. Let t be 17/(p/168)*3/9. Solve 4*o = -2*m + t*m - 24, 3*o = 3*m - 15 for o. -1 Let v = -22 + 22. Suppose 2*p + 11 - 3 = v. Let x be 58*(10/36 + p/(-18)). Solve -i = y + 3, 2*y = 4*i - 5 + x for y. 2 Let n(k) = k**2 + 2*k - 6. Let b be n(-4). Let t = -446 - -449. Solve 4*w = 3*u - 13, -5*w + t*u + b = 16 for w. -1 Let n = 47 + -19. Suppose -67*t = -74*t + n. Solve 3*y + 3 = 3*w + 24, t*y - 8 = 0 for w. -5 Suppose 2*p - 509 = -3*y, -y + 0*p + 178 = -p. Suppose 2*x - y = -137. Suppose x = 13*j - 47. Solve -2*f = -z + 2*z - j, -z = 4*f - 13 for z. -3 Let z(o) = -2*o**2 + 24*o - 87. Let i(f) = -f**2 + 12*f - 44. Let d(v) = -5*i(v) + 2*z(v). Let x be d(4). Solve 2*a - x = 3*t + 3, 2*a + t - 5 = 0 for a. 4 Suppose 4*y + 2 = -6, 8 = 2*l - 4*y. Suppose -7*d = -5*d - 38. Let r be (d - 19) + 5/1. S
{ "pile_set_name": "DM Mathematics" }
4*m + 38 for s. -2 Solve 9*f + 5*s - 3507 = 6*f - 3626, 3*s = -3*f - 111 for f. -33 Solve 2*p - 38206 + 38220 = -q, -82*p - 26*p - 3*q - 348 = 0 for p. -3 Solve 41 = 2*q + 151*h - 150*h, -q + 5*h + 26 = 0 for q. 21 Solve 7*s - 6*s + 4*s = 75, -10*s + 198 = -7*b - s + 63 for b. 0 Solve 21 + 5 = 3*l + 4*a, -7*l + 2*a + a + 56 + 54 = 0 for l. 14 Solve 51 - 71 = 2*h - 4*y, 65 = -5*h + 13*y for h. 0 Solve -10654 = 4*i - 2*w - 10690, 5*i + 15*w + 165 = 0 for i. 3 Solve 39 = 6*z - f, 0 = -3*z + f - 55 + 33 + 49 for z. 4 Solve 59*o = 3*t - 543, 2*t = -7797*o + 7795*o - 10 for t. 4 Solve 3*n = 768482 - 768476, 2*n = 2*f - 6 for f. 5 Solve -2*k + 4 = 195*z - 208*z, -5*k + 5*z + 10 = 0 for k. 2 Solve 40 = 4*t - 3*b, -2*b = -20656*t + 20666*t + 52 for t. -2 Solve q - 4*z + 324 = 51*q + 90, 4*q + z = 16 for q. 5 Solve s = -3*w - 40, -285*w - 70 = 5*s - 137*w - 143*w for s. -1 Solve -35*y + 127*c = 122*c - 50, -5*y + 2*c + 2 = 0 for y. 2 Solve 47*b - 99*b + 51*b - 16 = -4*k, -3*k + 12 = -5*b for b. 0 Solve -16*y = -303*u + 306*u + 598, -6*y + 4*u = 214 for y. -37 Solve 2*y - y + 5*p - 25 = 0, 0 = 5*y - 8*p + 8356 - 8481 for y. 25 Solve 4*n = -3*i - 2*n - 21, 27*i + 3*n = 26*i - 8 for i. -5 Solve t = -2*h - 0*t + 37, -670*h - 2*t + 974 = -621*h for h. 20 Solve -r - 2*h + 13351 = 13339, 26*r + 5*h = 30 for r. 0 Solve -3*g - 51 = -20*x - 13*x + 18, x = -g + 1 for g. -1 Solve 2*c - 123 = 7*c - 5*s - s, -6*s + 111 = -c for c. -3 Solve -58627*p + 58625*p + 9 = -3*y, 0 = -y + 5*p - 3 for y. -3 Solve 3*c - 3*h + 104 - 2 = 0, 14*c + 11*h - 249 = 0 for c. -5 Solve 0 = 66*z + 4*x - x + 120, 25*x - 20*x = 5*z - 200 for z. 0 Solve 5*o - 10*y = 90, 942*o = 946*o - 4*y - 76 for o. 20 Solve -42*h - 14 = 12*h - 3*m + 5*m, 2*m = -14 for h. 0 Solve -u + 5*s = 80, -3*u = -2449*s + 34915 + 1835 for u. -5 Solve -14*c - 2*k - 71 = -11*c, -3*c - 5*k - k + 178 = -11*c for c. -23 Solve 6*i - 2*z = -3111 + 3097, -2*i - z + 5 = -12 for i. 2 Solve -8*w = -3*w - 4*z + 33 - 51, -5*w + 16 = -44*z + 41*z for w. 2 Solve -2*n = 3*d - 0*n + 39 - 15, 8*n = -d - 8 for d. -8 Solve 4*t = 2*p + 36, 0*p - 539 + 515 = 3*p + 4*t for p. -12 Solve -446*p - 2*j - 158 = -451*p, 6*p + 4*j + 284 = 0 for p. 2 Solve 124 = 10*u + w, -95*u = -9*u + 3*w - 763 - 281 for u. 12 Solve -3*z - 3*d - 126 = 0, 625 - 367 = -29*z - 5*d for z. -2 Solve -14*y + 673 = 3*m, 5*m - y - 73215 = -73237 for m. 5 Solve 5*f = -2*b - 56, 9*f + 11666 = -4*b + 11564 for f. -10 Solve 27*l + 5*o - 158 = 40*l, -2*o + 6 = 0 for l. -11 Solve 0 = 2*w - 4, 58*f - 54*f + w - 18 + 22 = 4*w - 22 for f. -5 Solve 3*t + 3*j - 2*j = 4*j + 14 - 32, -16 = 4*j for t. -10 Solve -114025*u + 114022*u = b + 17, 7 = b - 3*u for b. -5 Solve -s = -5*y + 93, 0 = -110*y + 112*y - 38 for s. 2 Solve 2*d = -12*g + 15 - 251, -g + 4*d - 65 = -62 for g. -19 Solve 2*z + 0*p = 12*p - 7*p - 48, 0 = z - 2*p + 22 for z. -14 Solve 3*d + 32*k - 38*k - 42*k = 7*d - 32, -3*d - k - 46 = 0 for d. -16 Solve 5*l - 125 = -5*o, -80 = -5*o - 162*l + 172*l for o. 22 Solve -3*q - 2*i + 6 = i, q + 14*i - 168 + 317 = 138 for q. 3 Solve 310 = -5*y + t + 314, 3*y - 4 = t for y. 0 Solve -5*b = -20*o + 40, -368*o + 41*b + 28 = -366*o + 39*b for o. -2 Solve 55 = -3*n + 5*z, 99*z - 184*z = 2*n - 86*z + 39 for n. -20 Solve -3*y + 7 = -8, -100*s - 6*y + 27 - 9 = -97*s - 9 for s. -1 Solve -60435*v - 73 = -60431*v + 3*d, -v + d + 0 = -17 - 5 for v. -1 Solve -8*w + 13 = -z, -217652*w - 9 = -5*z - 217649*w for z. 3 Solve -21*f = -25*f - 5*h + 72, -3*f + 54 = -h for f. 18 Solve -5*m = -25, -2*z - 11*m - 14*m + 36 + 50 = -7*m for z. -2 Solve -36903*v = -36906*v + 2*t + 18, 12 = 2*v + 5*t for v. 6 Solve -4*p - h + 80 = 0, -3*p + 485 = h + 424 for p. 19 Solve 3*c + 787 - 716 = o + 3*c + c + 3*c, -209 = -11*c for o. -5 Solve 13 = 6486646*b - 6486643*b + 5*n, 0 = b + n - 3 for b. 1 Solve 0 = 6*z + 18, 0 = 4*a - 63143*z + 63138*z + 11 + 6 for a. -8 Solve -2*h - 3*h + 39968*p = 39971*p - 34, 0 + 72 = 4*p for h. -4 Solve -18*i + 5*x - 46 = 0, -i + 0*i + x - 2*x = 0 for i. -2 Solve -2*x = -24*f - 426, 4*f = 9963*x - 9961*x - 66 for x. -3 Solve 247 - 499 = 2*q + 5*t - 235, q - 9 = t for q. 4 Solve -5*t - 5*u - 40 = 0, 5*u + 33166 = 8*t + 33191 for t. -5 Solve -10*l + 53 = f - 47, 31*f = 29*f + 3*l + 85 for f. 50 Solve 689*y + 694*y = 3*z + 1378*y + 84, 4*z - 2*y = -28 for z. 2 Solve 0 = 5*x + n + 129, 0 = -4*x - 58*n - 311 - 21 for x. -25 Solve -105 = -1566*j + 1561*j + 10*b, -3*j + b = -j - 15 for j. 3 Solve -14*k = -9*k - w + 40 + 3, 35 = 8*k + 33*w for k. -8 Solve 20911*g - 2*r - 61 = 20908*g, 2*g = r + 42 for g. 23 Solve 11*i - 9*w = -236 + 511, -5*i + 3*w + 89 = 0 for i. -2 Solve -3*c - 127 = -5*i, 60*c - 133*c - i = -75*c - 87 for c. -44 Solve -5*q = 17*k + 8, 5*k - 31 + 6 = 3*q - 5 for q. -5 Solve 0 = 8*z - 3*z - k - 55, 0 = -5*z - 13*k - k + 55 for z. 11 Solve 3*w + 8*i = -220, 434*w + 5*i + 269 = 465*w for w. 4 Solve -23*l - 2*w = 55 + 5, l - 5*w - 14 = 19 for l. -2 Solve 0 = 4*c - m - 119, -22*c - 279 + 1101 = 28*m for c. 31 Solve -977 = -2*k - 9*l - 928, -3*l + 25 = 5*k for k. 2 Solve -w + 4*h = -76643 + 76657, -3*h + 5*h = -9*w + 26 for w. 2 Solve 0 = 20*q - 5*r - 50, -2*q + 1229*r - 2 = 1225*r for q. 3 Solve 134*h - 5*y - 26 = 127*h - 0 + 35, 0 = -5*h + y + 41 for h. 8 Solve -5*s + 5*a = -5*a - 123 + 403, -a = -5 for s. -46 Solve 0 = n + 15, -2*l - 181421*n = -181425*n - 60 for l. 0 Solve -10*t + 15*t + 4*w - 44 = 5*t, -4*t - 4*w + 60 = 0 for t. 4 Solve 4 = -30505*b + 30500*b - t, -3*b = -t + 4 for b. -1 Solve -3*l + 4*z - 22 = 0, 17*l - 33*l = -12*l - 5*z + 28 for l. -2 Solve -4*s + 20 = -2*k - 22, 8*k + 0*k = s - 86 - 7 for k. -11 Solve t + 5*q = -0*t - 45, -2*q + 1 = -3717*t + 3716*t - 9 for t. -20 Solve -14*m = -7*q + 14, -2*m = 1013*q - 1017*q - 4 for q. -2 Solve 3*k = 3*m + 111, 321803*m + 69*k + 2 = 321799*m for m. -35 Solve -4*j - 3*m = 12 + 24, 6*j - 10*j + 4*m + 48 = j for j. 0 Solve 1300*s - 1295*s - 45 = 0, -3*w - 2*s = -5 + 3 - 7 for w. -3 Solve c - 3*c = 4*k - 14, -231 = 6*c - 39*c - 5*k + 3*k for c. 7 Solve 0*z + 7*z + 28 = 6*y + 8*z, 43*y - 2*z - 164 = 0 for y. 4 Solve 2*w - 745 = -96*p + 313, 4*p - p - 4*w = 1 + 28 for p. 11 Solve -5*x = h + 32, x = 29 - 34 for h. -7 Solve 126*u = -2*v + 122*u - 6, 2*u - 4398 = -490*v for v. 9 Solve -16*p = -3*p + 234, -1998*r + 5*p = -2001*r + 2*p - 54 for r. 0 Solve -4*q = 4*s - 8, 35*s + 7889*q - 7887*q = 30*s + 10 for s. 2 Solve 35*x + 5*v = 80, -4*x - 2*v + 1133029 = 1133007 for x. 1 Solve -19*c + 24 = 2*q - 12, c + 23*q + 21 = 0 for c. 2 Solve -2*h - 900 = -2*q - 808, 4*h - q - 80 = -3*q for h. -2 Solve -27*x = 2*f - 27, 4*x - 323*f = -327*f + 4 for x. 1 Solve n = -34*y + 234, -252 = 5*n + 3*y - 253 for n. -4 Solve 4*j - 1 - 153 = 10*b, -j = -0*b + 4*b + 72 for j. -4 Solve -25*h - 310 = -30*h - 18*t + 11, 0 = -3*h + 14*t - 229 for h. 3 Solve 51 = 3*w - 4*y, 36702*w = 36706*w + 3*y + 32 for w. 1 Solve -2581*q + 2577*q - r = 22, 5*q - 8*r = 28 for q. -4 Solve -2*s + 5180 = -4*g + 5160, 20 = -5*g + g - 4*s for g. -5 Solve y = -i + 2, 5268*i - 5266*i - 598*y + 596*y = -4 for i. 0 Solve -21*r - 37*r + 4*w - 49 = -13*r, -16*r = -13*r + w + 2 for r. -1 Solve 469*n - 5*j = 160*n + 148*n + 165*n + 33, -2*n - 3*j - 15 = 0 for n. -12 Solve -601*d - 4*q - 180 = -605*d, 5*d = q + 229 for d. 46 Solve 4*q + 4*v - 6 - 2 = 0, -793*q + 5*v = -789*q + 37 for q. -3 Solve 22 = 116*u - 111*u + 7*a + 82, 3*a + a = -20 for u. -5 Solve 0 = -2802*k + 2770*k - j + 111 - 14, 4*j = 3*k - 5 for k. 3 Solve -7*y - 5*g - 44 = -0*g, 5*g - 140 = -2*y + 91 - 265 for y. -2 Solve a + 11*a + 343 = 4*g + 211, 2*a - g = -32 for a. -1 Solve 4*w + 4044*v - 4040*v + 6 = -10, 9*w = -4*v - 16 for w. 0 Solve 58 = -2*u - 2*l, -l - 29 = 225*u - 226*u for u. 0 Solve 0 = 3*b + 3*j + 21, -18*b + 23*b + 131*j + 62 = 123*j for b. 2 Solve -5*m - 264*d = 0, 3*m + 26664*d = 8*m + 26666*d for m. 0 Solve 0 = -5*p + 8*g - 55, 5*g = 3*p + 304 - 272 for p. -19 Solve k + 4 = 120*z - 118*z, 3*k + 2*z - 28 = 0 for k. 6 Solve -r + v = -9, 2882*v + 59 = -35*r + 2883*v for r. -2 Solve -4*r = 2*z + 8, 2*r - 4*z + 4 = 1 - 11 for r. -3 Solve -2*g - 13*c + 17*c = -46, 9*g - 11*g + 46 = -21*c for g. 23 Solve 12*l - 83866 = -2*v - 83890, 4*v = l + 52 for l. -4 Solve 5*j - 10*j - 104 = -3*j + 2, 0 = 2*o + 16
{ "pile_set_name": "DM Mathematics" }
19 Calculate the remainder when 149 is divided by 59. 31 Calculate the remainder when 250 is divided by 15. 10 Calculate the remainder when 647 is divided by 72. 71 What is the remainder when 426 is divided by 54? 48 What is the remainder when 7477 is divided by 19? 10 Calculate the remainder when 2491 is divided by 58. 55 What is the remainder when 12856 is divided by 299? 298 What is the remainder when 129 is divided by 45? 39 What is the remainder when 883 is divided by 150? 133 Calculate the remainder when 260 is divided by 28. 8 Calculate the remainder when 597 is divided by 40. 37 What is the remainder when 493 is divided by 62? 59 Calculate the remainder when 45 is divided by 28. 17 Calculate the remainder when 963 is divided by 197. 175 What is the remainder when 783 is divided by 22? 13 What is the remainder when 534 is divided by 82? 42 Calculate the remainder when 2710 is divided by 63. 1 Calculate the remainder when 1240 is divided by 173. 29 Calculate the remainder when 31 is divided by 11. 9 What is the remainder when 7483 is divided by 20? 3 What is the remainder when 961 is divided by 190? 11 Calculate the remainder when 2373 is divided by 12. 9 Calculate the remainder when 1245 is divided by 30. 15 What is the remainder when 3958 is divided by 10? 8 Calculate the remainder when 247 is divided by 122. 3 What is the remainder when 770 is divided by 151? 15 What is the remainder when 757 is divided by 229? 70 Calculate the remainder when 107 is divided by 22. 19 Calculate the remainder when 61 is divided by 3. 1 Calculate the remainder when 237 is divided by 6. 3 Calculate the remainder when 160 is divided by 114. 46 What is the remainder when 723 is divided by 33? 30 What is the remainder when 603 is divided by 19? 14 Calculate the remainder when 664 is divided by 212. 28 What is the remainder when 759 is divided by 15? 9 What is the remainder when 3443 is divided by 42? 41 Calculate the remainder when 51 is divided by 7. 2 What is the remainder when 87 is divided by 26? 9 Calculate the remainder when 88 is divided by 6. 4 What is the remainder when 39 is divided by 21? 18 What is the remainder when 1436 is divided by 205? 1 What is the remainder when 419 is divided by 42? 41 What is the remainder when 510 is divided by 14? 6 Calculate the remainder when 87 is divided by 53. 34 What is the remainder when 11554 is divided by 7? 4 Calculate the remainder when 131 is divided by 9. 5 What is the remainder when 339 is divided by 63? 24 What is the remainder when 1368 is divided by 11? 4 Calculate the remainder when 47 is divided by 28. 19 Calculate the remainder when 3255 is divided by 74. 73 What is the remainder when 70 is divided by 19? 13 What is the remainder when 17807 is divided by 84? 83 What is the remainder when 175 is divided by 9? 4 Calculate the remainder when 45 is divided by 33. 12 Calculate the remainder when 333 is divided by 54. 9 What is the remainder when 94 is divided by 8? 6 Calculate the remainder when 936 is divided by 14. 12 Calculate the remainder when 2142 is divided by 65. 62 Calculate the remainder when 3357 is divided by 20. 17 What is the remainder when 94 is divided by 19? 18 Calculate the remainder when 1108 is divided by 37. 35 Calculate the remainder when 366 is divided by 104. 54 What is the remainder when 882 is divided by 134? 78 Calculate the remainder when 404 is divided by 24. 20 What is the remainder when 163 is divided by 153? 10 What is the remainder when 4487 is divided by 136? 135 What is the remainder when 326 is divided by 10? 6 Calculate the remainder when 249 is divided by 164. 85 Calculate the remainder when 160 is divided by 29. 15 What is the remainder when 20 is divided by 7? 6 Calculate the remainder when 110 is divided by 37. 36 Calculate the remainder when 4053 is divided by 24. 21 What is the remainder when 170 is divided by 23? 9 Calculate the remainder when 99 is divided by 37. 25 Calculate the remainder when 706 is divided by 182. 160 What is the remainder when 25507 is divided by 33? 31 What is the remainder when 239 is divided by 31? 22 What is the remainder when 376 is divided by 27? 25 Calculate the remainder when 51 is divided by 6. 3 What is the remainder when 1426 is divided by 34? 32 What is the remainder when 4639 is divided by 116? 115 Calculate the remainder when 1392 is divided by 345. 12 What is the remainder when 124 is divided by 29? 8 What is the remainder when 1258 is divided by 28? 26 Calculate the remainder when 1143 is divided by 44. 43 What is the remainder when 7716 is divided by 2566? 18 Calculate the remainder when 3281 is divided by 1633. 15 What is the remainder when 490 is divided by 72? 58 What is the remainder when 21059 is divided by 135? 134 What is the remainder when 252 is divided by 237? 15 What is the remainder when 30 is divided by 18? 12 What is the remainder when 22110 is divided by 27? 24 What is the remainder when 205 is divided by 42? 37 What is the remainder when 129 is divided by 63? 3 What is the remainder when 115 is divided by 33? 16 What is the remainder when 20785 is divided by 14? 9 What is the remainder when 1697 is divided by 10? 7 What is the remainder when 1360 is divided by 95? 30 Calculate the remainder when 11428 is divided by 71. 68 Calculate the remainder when 559 is divided by 140. 139 What is the remainder when 269 is divided by 32? 13 Calculate the remainder when 5651 is divided by 27. 8 Calculate the remainder when 190 is divided by 90. 10 What is the remainder when 38 is divided by 6? 2 Calculate the remainder when 96 is divided by 10. 6 What is the remainder when 188 is divided by 24? 20 What is the remainder when 116 is divided by 27? 8 What is the remainder when 1027 is divided by 49? 47 Calculate the remainder when 89 is divided by 37. 15 Calculate the remainder when 333 is divided by 127. 79 What is the remainder when 57 is divided by 36? 21 Calculate the remainder when 63 is divided by 25. 13 What is the remainder when 113 is divided by 19? 18 What is the remainder when 23 is divided by 9? 5 Calculate the remainder when 250 is divided by 32. 26 What is the remainder when 161 is divided by 28? 21 What is the remainder when 190 is divided by 39? 34 What is the remainder when 366 is divided by 74? 70 Calculate the remainder when 1048 is divided by 120. 88 Calculate the remainder when 11809 is divided by 28. 21 What is the remainder when 185 is divided by 106? 79 What is the remainder when 81 is divided by 23? 12 What is the remainder when 972 is divided by 51? 3 What is the remainder when 62 is divided by 39? 23 Calculate the remainder when 9 is divided by 2. 1 What is the remainder when 1605 is divided by 321? 0 Calculate the remainder when 510 is divided by 75. 60 Calculate the remainder when 46 is divided by 19. 8 What is the remainder when 193 is divided by 68? 57 What is the remainder when 603 is divided by 122? 115 What is the remainder when 319 is divided by 44? 11 What is the remainder when 2437 is divided by 174? 1 Calculate the remainder when 631 is divided by 56. 15 Calculate the remainder when 1322 is divided by 51. 47 Calculate the remainder when 440 is divided by 63. 62 What is the remainder when 130 is divided by 21? 4 Calculate the remainder when 3135 is divided by 319. 264 Calculate the remainder when 895 is divided by 297. 4 What is the remainder when 319 is divided by 93? 40 What is the remainder when 13085 is divided by 1869? 2 What is the remainder when 662 is divided by 33? 2 What is the remainder when 261 is divided by 88? 85 Calculate the remainder when 1992 is divided by 29. 20 What is the remainder when 301 is divided by 17? 12 Calculate the remainder when 927 is divided by 16. 15 What is the remainder when 122 is divided by 65? 57 Calculate the remainder when 307 is divided by 18. 1 Calculate the remainder when 1053 is divided by 22. 19 Calculate the remainder when 12 is divided by 10. 2 What is the remainder when 186 is divided by 54? 24 What is the remainder when 1997 is divided by 398? 7 What is the remainder when 250 is divided by 239? 11 What is the remainder when 1258 is divided by 63? 61 Calculate the remainder when 126 is divided by 9. 0 Calculate the remainder when 563
{ "pile_set_name": "DM Mathematics" }
er? False Is 8066541001 a prime number? True Is 15059464881 a composite number? True Is 1047517789 a prime number? False Is 184777687 composite? False Is 8222124661 a prime number? False Is 127406217823 prime? True Is 190962007 prime? False Is 140329672181 a composite number? True Is 749691406457 a composite number? True Is 5140687033 prime? True Is 3775466659 a composite number? True Is 55147994417 prime? True Is 32968996169 composite? True Is 2132750987 prime? True Is 122106951049 a composite number? False Is 111400559 composite? True Is 10959689369 prime? True Is 11078058187 prime? False Is 1742849179 prime? True Is 144814127 prime? True Is 30364171381 a prime number? False Is 3134878363 composite? True Is 84913561 a prime number? True Is 501303109 composite? False Is 260316163 a composite number? True Is 18227456413 a composite number? False Is 6241051097 a composite number? True Is 744767711 a composite number? False Is 1927919527 prime? False Is 38688573082 composite? True Is 8175965891 prime? True Is 5837185531 composite? True Is 21189364421 a composite number? True Is 28407063631 composite? True Is 987108611 a composite number? False Is 1301030579 a prime number? False Is 1531861963 a composite number? False Is 29179224671 a prime number? True Is 3033524873 prime? True Is 565204411 prime? True Is 1650729277 a composite number? True Is 4910625989 prime? True Is 310491157 composite? False Is 9801374381 a composite number? True Is 11000257789 prime? True Is 1327877687 prime? False Is 942893621 a prime number? False Is 243748649 prime? False Is 15128867167 prime? True Is 2684533441 composite? False Is 82808203 prime? True Is 239648537 a prime number? False Is 4032228301 a prime number? True Is 26004726091 prime? False Is 159872149903 composite? False Is 69889628159 a prime number? False Is 3898526771 a prime number? True Is 945923411 composite? False Is 57010903582 prime? False Is 36796841459 composite? True Is 1385771927 a composite number? True Is 12675046469 composite? False Is 6274497323 a composite number? False Is 11162293297 a prime number? False Is 648982907 a prime number? True Is 4299972373 a composite number? False Is 483070789 composite? True Is 30177097573 a composite number? True Is 2987496893 a composite number? True Is 473702249 composite? True Is 305069987 a composite number? True Is 9189182279 prime? True Is 6025252229 composite? False Is 127448777 composite? False Is 1637182097 a prime number? True Is 4162316549 a prime number? True Is 87221621129 a prime number? True Is 1050632263 a composite number? True Is 21050953189 prime? False Is 7065339353 a prime number? True Is 28014796843 composite? True Is 1206514213 a composite number? False Is 56398037 a composite number? False Is 12612157229 composite? True Is 8500959703 a composite number? False Is 4650970717 a composite number? False Is 2802468257 a prime number? True Is 3710662871 composite? True Is 98685789269 prime? False Is 3630161851 prime? True Is 3593948443 prime? False Is 1829091298 a prime number? False Is 546830423 prime? False Is 1414751698 composite? True Is 1470454163 a prime number? True Is 5889406723 prime? True Is 49358827165 a composite number? True Is 113833451 a prime number? False Is 56071282693 a prime number? True Is 221098289 a prime number? True Is 22965131171 a composite number? False Is 29926187407 prime? True Is 2836468541 prime? True Is 5941827713 a composite number? True Is 458425289 a composite number? True Is 24939183917 a composite number? False Is 108415681321 a prime number? True Is 3570614831 prime? False Is 21325995923 a prime number? True Is 5055503087 prime? False Is 39375108853 a composite number? True Is 951783197 a composite number? True Is 1172834477 composite? True Is 1308899447 composite? False Is 79183813 a composite number? True Is 9716949797 a composite number? False Is 14179687801 prime? False Is 730663433 composite? True Is 138845498611 a prime number? False Is 123235939 composite? False Is 1285996421 prime? True Is 15136285961 a prime number? True Is 996197991 a composite number? True Is 309216073 prime? True Is 6569200717 composite? True Is 127583165 a prime number? False Is 3424504357 composite? True Is 7471108189 a prime number? True Is 16598847751 a prime number? True Is 15841549271 prime? True Is 233661533 a prime number? False Is 31480019 a composite number? False Is 3587240803 composite? True Is 54515182093 a composite number? False Is 8248004627 a composite number? False Is 3049245673 composite? False Is 321384641 a prime number? False Is 153691655749 a prime number? True Is 57801899089 composite? True Is 1142513381 a composite number? True Is 3402082529 a composite number? True Is 69697669483 a composite number? True Is 253942141 prime? False Is 39753001723 a prime number? True Is 1126473013 a prime number? False Is 339058637 a prime number? True Is 9840071561 a prime number? False Is 975177553 a prime number? False Is 36495620237 prime? False Is 12195014203 composite? False Is 19746296785 prime? False Is 90206741 a prime number? True Is 62948983 composite? True Is 319603481 prime? True Is 11564038711 a prime number? True Is 3088242361 a composite number? True Is 36021229207 composite? False Is 12040800977 a prime number? True Is 37799427493 prime? True Is 7815427447 prime? True Is 5236177511 composite? True Is 26789636381 a prime number? False Is 4727898199 prime? True Is 36476564911 composite? False Is 770656441 composite? False Is 68338027 prime? False Is 47149759991 composite? False Is 574974079 a prime number? False Is 3983010643 a composite number? True Is 1148248177 a prime number? False Is 121476382439 a composite number? True Is 133869727 a composite number? True Is 2670084331 composite? True Is 1432766717 a prime number? False Is 13200413131 a composite number? False Is 732900407 prime? False Is 4949337201 prime? False Is 9527762411 a composite number? False Is 3433759313 a composite number? True Is 2830983139 prime? True Is 12888567553 composite? False Is 2552296541 composite? False Is 169453531 a composite number? True Is 5043700789 a composite number? True Is 393387209 composite? True Is 25177409 prime? True Is 51465995227 a composite number? True Is 13954954523 a composite number? False Is 15343590071 prime? True Is 26550405967 a composite number? False Is 547115077 composite? True Is 422055391 a prime number? True Is 95139051151 a prime number? True Is 29737561277 a composite number? False Is 895902889 a prime number? False Is 16650419713 prime? False Is 6686337719 prime? False Is 30603678439 a prime number? True Is 3130654553 a prime number? False Is 1251664391 a prime number? True Is 7088898473 a prime number? True Is 4395804913 composite? False Is 14514452321 prime? False Is 1568064811 composite? False Is 320365991 composite? True Is 1163485097 prime? False Is 176311171 a composite number? True Is 13340432191 a prime number? True Is 10060067573 prime? True Is 932089127 a composite number? True Is 129697979 prime? True Is 1700891447 prime? True Is 2810146351 a composite number? False Is 69280771181 a prime number? False Is 29457110069 a prime number? False Is 1133025653 prime? False Is 10532712649 composite? True Is 351013219 a composite number? True Is 48996898217 composite? False Is 229190783 prime? True Is 2167847719 a composite number? False Is 38611255327 prime? False Is 341270528257 a composite number? False Is 514756453 composite? False Is 1721254891 a composite number? False Is 60855920747 prime? False Is 19894231937 a prime number? True Is 341009971 a composite number? True Is 7784663 a prime number? False Is 15346003769 a prime number? True Is 52462528663 composite? True Is 7807985639 composite? True Is 54615437 composite? True Is 81196202459 a composite number? True Is 10207495253 prime? False Is 906136043 composite? False Is 111088659473 composite? True Is 541128587 a composite number? False Is 7656299566 prime? False Is 733783751 a prime number? True Is 921813703 a composite number? False Is 169006997 prime? True Is 201697957 a prime number? True Is 2591320703 a prime number? True Is 1765221473 composite? True Is 34360856273 a prime number? True Is 803091163 composite? True Is 1
{ "pile_set_name": "DM Mathematics" }
+ 2*r - 1. Let d be -4*(2 + (-10)/4). Suppose -d*t = -5*t + 3. Let l be i(t). Solve -o - 12 = l*o for o. -3 Suppose -3*n + 8*n = -5. Let r = 0 + n. Let c be (1 + r + 0)/1. Solve 0 = -5*l - c*l - 20 for l. -4 Let q(f) = -8*f + 116. Let b be q(13). Solve 2*z = 5*z + b for z. -4 Let a be 4 + (4 + -7 - -4). Solve 10 + 15 = a*l for l. 5 Let v = 11 + -5. Suppose 5*w - 4*m - 514 = 0, -2*m - 302 = -3*w + 2*m. Let u be w/v + (-1)/(-3). Solve -3 = -3*k - u for k. -5 Suppose -a + 2*a = 10. Let p be (0/(-1))/(-9 + a). Solve p = 5*j + 7 + 3 for j. -2 Let f(g) = -g**3 + 4*g**2 - 2*g + 1. Suppose -w + 3*k = -9, -3*w = -0*w - 2*k - 13. Let r be f(w). Solve 5*p = 3*p + r for p. 2 Suppose 0 = n + 2*n - 15. Let g = 0 + n. Let s = -3 + g. Solve -s = a + a for a. -1 Let n = 2 + -2. Let s be -2 + (-4 - -3)*-3. Let t be (-3 + 2)*-1*s. Solve -p + 2 + t = n for p. 3 Let v be ((-8)/24)/(2/(-24)). Suppose 2*f - q - 17 = -v*q, -4*q - 8 = -5*f. Solve -3 = -7*x + f*x for x. 1 Let f(z) = -z**3 + 7*z**2 + 11*z - 9. Let o be f(8). Solve -o = -3*w + 6*w for w. -5 Suppose 5*x + 2*o = 39, -4*x + 2*o = -3*o - 51. Let f be (12/4 - 6) + x. Solve -2*k + 0 - f = 0 for k. -3 Suppose -2*l - 3*l + 4*z + 68 = 0, -3*l + 32 = 2*z. Suppose -3*h = -7 + 1. Suppose -4*k - 5*v + 24 = -2*k, -h*k + 4*v - l = 0. Solve -k*t + 9 = t for t. 3 Let i(n) = -n**2 + 6*n. Let g be i(6). Suppose 4*r - 16 = 0, 0 = -g*x + x + 2*r - 10. Let c = x + -2. Solve 2*m + c*m + 6 = 0 for m. -3 Let l(j) = -j - 3*j + 3*j. Let h be l(0). Suppose -v - 10 = -3*v. Solve -v*k - 15 + 5 = h for k. -2 Let s(u) = 3*u - 6. Let w be s(4). Solve -4*b = w + 6 for b. -3 Let v = -5 + 8. Solve 4*o = 13 + v for o. 4 Let t(f) = -8*f - 2. Suppose -5 + 1 = -2*u. Let j be t(u). Let x be (-3)/(3 + j/4). Solve -2*w = x*w for w. 0 Let t(m) = m**2 - 4*m - 1. Let q be t(5). Solve -d = -q*d for d. 0 Let t(p) = -p**3 + 7*p**2 + 9*p - 10. Suppose -5*j + 17 = -w, 5*w - 2*j - 55 = -5*j. Let f be t(w). Let k = 2 + f. Solve k = d - 4*d + 12 for d. 4 Suppose 0*x = 2*x - q - 12, 3*x + 8 = -5*q. Let f = -4 + x. Solve 20 = -5*m - f*m for m. -4 Let x = -17 - -37. Suppose -3*i - 13 = -0*n - n, 0 = 2*n - 4*i - x. Solve -1 + n = 3*o for o. 1 Let g be 0/(-5 - -1 - -3). Solve 0 = -g*t - t for t. 0 Let f(c) = -c**2 - 2*c + 1. Let i be (-10)/60 - (-11)/(-6). Let h be f(i). Solve 3 - h = -2*g for g. -1 Let b = 5 + 1. Suppose -4*k + 12 = c + 3*c, 0 = -2*c + b. Solve k = 3*z - 6 - 3 for z. 3 Let d = 1 + 5. Suppose 2*r - 8 = -d. Suppose 0 = -u - 3*u + 20. Solve r = u*g + 6 for g. -1 Let v(x) = x**2 + 3. Let b be v(0). Let s(j) = -j**3 - 16*j**2 - 28*j + 4. Let f be s(-14). Let g be 0*(2 + -1)*-1. Solve f*h + b + 1 = g for h. -1 Let n(i) = i**3 - 15*i**2 + 14*i + 6. Let a be n(14). Suppose 10 = 2*f + 3*f. Solve -a = -k - f for k. 4 Let r be 7/(21/2)*15/10. Solve -5*g - r = -6 for g. 1 Let o be 0 - -2 - (1 - 1). Let d be 6/1 - (-4)/(-2). Suppose -14 = i - d*t, i = 2*i + 3*t - 21. Solve 4*s = o*s - i for s. -3 Suppose h - 2 = -3*s, -s - 2*h - 6 = -0*h. Solve s*n - 3 = -n for n. 1 Let v be 4/2 + -2 + 2. Suppose -5*h = -v*u, -2*u - 2*h = 2*h. Suppose u*t - 6 = -3*t. Solve k - t*k = 4 for k. -4 Suppose 4 = -5*u - 11. Let j be (-1)/(-3) + (-8)/u. Suppose -2*t - 16 = -j*t. Solve 4*c + 4 = t for c. 3 Let l(k) = -k + 27. Let m be l(25). Solve 9 = m*f + 1 for f. 4 Let n(g) = -2*g**3 - 2*g**2 + 2*g + 1. Let q be n(-2). Let y = -3 - -21. Solve y = -q*r + 43 for r. 5 Let f be 0/3 - 4/(-8)*6. Solve -3*d + 2*d - f = 0 for d. -3 Let x = 5 - 3. Suppose -2*l + 36 = x*g, 5*l + 2*g - 78 = g. Solve 4*f - l = -f for f. 3 Suppose 7*v = 2*v. Solve v*l + 3*l + 12 = 0 for l. -4 Suppose -74*r + 8 = -70*r. Solve 2*x - r = 2 for x. 2 Suppose -w = 1 - 17. Suppose -6 = -2*z - 4*r, -2*r + 7 = z - r. Let u = w - z. Solve -3*l + 4 = -u*l for l. -2 Let p(x) = -x**3 - 3*x**2 - 2*x - 3. Let l be p(-3). Solve l*j - 13 = 2 for j. 5 Let n(t) = 5*t**3 - 2*t**2 + 1. Let d be n(1). Suppose -5*f - d*r + 20 = -8*f, 0 = -4*f - 2*r - 56. Let v = -9 - f. Solve k + 8 = -v*k for k. -2 Let s = -4 - -3. Let k = 5 - s. Suppose -2*a = 2*b - 16, -k*a = b - 2*a - 20. Solve -b*m + m = 9 for m. -3 Suppose -9 = s - 4*s. Suppose 3*m - 25 = -g - 9, 0 = s*m - 5*g + 8. Solve 3*l = m*l - 1 for l. 1 Let g(f) = -f - 1. Let q(p) = 8*p**3 + p**2. Let z be q(-1). Let l be g(z). Solve -2*u = -l*u - 4 for u. -1 Suppose -5*x + 3*g + 16 = 0, -1 - 3 = 2*x + 4*g. Let i(u) = 3*u - u**3 + 8 - 7*u**x - 2*u - 6*u. Let o be i(-6). Solve -3*m + 10 = o*m for m. 2 Suppose 25 = 8*w - 3*w. Suppose 0 = 2*p - w*p + 12. Solve p*x = -0*x for x. 0 Suppose 0 = -2*a + 5*a - 27. Solve -3*s = a + 3 for s. -4 Suppose 4*o + 7 = b, -2*o = 5*b - 41 - 16. Suppose -16 = -3*a + 53. Suppose 2*t + 2*u + 9 = a, 5*u = t + 5. Solve t = 3*p + b for p. -2 Suppose -21*v + 103 = 19. Let l be 1 + -1 - 12*-1. Solve -v*x = -x - l for x. 4 Let y(g) = g**2 - 3*g - 2. Let n be y(3). Suppose 2*x - 5 = 1. Let i be x + (3 - 5 - n). Solve -i*w = 2*w for w. 0 Let r be (-1)/(1 - 4/3). Suppose 0 = -2*o - r*o + 10. Suppose -4*w + o*w + 12 = 0. Solve -4 = -2*s - w for s. -1 Let g(c) = c**3 + 12*c**2 - c - 7. Let u be g(-12). Solve -3*p = 4 + u for p. -3 Let q(k) = -k**3 - k**2 - k + 7. Let b be q(0). Suppose 0 = -5*p - 4*r - 2, -b = -5*p + 5*r - 6*r. Solve -p*z - 2*z = 12 for z. -3 Suppose -3*l = -4*j - 32, j - 4 = -l - j. Solve 4*v - 2*v = l for v. 4 Let f be 0/((5 - (4 - 0))*-1). Solve o - 3 = -f*o for o. 3 Suppose 2*u - 20 = -3*u. Solve u*y = -0*y for y. 0 Let r = -5 - -4. Let f be (0/r - 2) + 7. Suppose 0*t - 6 = -3*t. Solve t*i = i + f for i. 5 Suppose -6*h = -h - 25. Suppose -2*y + 6 = h*w, 2*y = -3*y - 2*w + 15. Solve x + 2*x = -y for x. -1 Suppose -16 = -5*p - 0*j - 2*j, -2*j - 4 = -5*p. Suppose 0*o = p*o - 12. Solve -o + 0 = 3*z for z. -2 Suppose 27 = w + 2*w. Solve -4*h + w*h = -10 for h. -2 Let b = 8 + -5. Suppose b*y + 9 = 4*y. Solve -a = 2*a - y for a. 3 Suppose 0*g = 2*p - 2*g - 20, 0 = -3*p - 4*g - 5. Solve p = -2*d + 1 for d. -2 Suppose 5*m + 26 = 5*k + 6, 0 = k + 4*m - 4. Solve -4 - 8 = k*n for n. -3 Let y(i) = -3*i - 1 + 9*i + 7. Let g be y(5). Suppose -3*u + g = -4*q, -4*u = -0*u - q - 35. Solve -3*f - u - 1 = 0 for f. -3 Suppose -4*h + 15 = -3*a - 4, 4*h - 5*a = 21. Suppose h*z + z - 40 = 0. Let r be z/6 + (-8)/(-12). Solve -u + r*u = -3 for u. -3 Suppose 0*c = 4*c. Let i(k) = -k + 1. Let d be i(c). Let l be 0 - -4 - (1 + 1). Solve -l*j - 1 = d for j. -1 Let r(g) be the third derivative of 0*g + 2*g**2 + 1/6*g**3 + 0 + 1/24*g**4. Let h be r(-1). Solve -4*y + 0*y - 16 = h for y. -4 Suppose 19*f - 22*f = 0. Solve 5*y + 2 - 7 = f for y. 1 Suppose -23 = 4*i - 7, 0 = m - 5*i - 19. Let u = m - -4. Solve 0*t = -u*t + 9 for t. 3 Suppose -15*l = -401 - 169. Solve 14 - l = -6*f for f. 4 Suppose 0 = 4*o - 8*o + 24. Solve o = -d - d for d. -3 Let k be (-2 - (2 - 10))/2. Suppose 2*q = -k*q. Suppose -2*w = -q*w. Solve 4*v = -w*v + 12 for v. 3 Let s be 102/24 - (-2 + 27/12). Solve 6 = -s*f - 2 for f. -2 Let x = 17 + -16. Solve 11 + x = 4*h for h. 3 Let c(q) = -q**3 - q**2 + 6*q + 2. Let r be c(2). Solve a - r = 1 for a. 3 Let v(k) = k + 4. Let g be v(-2). Suppose -4*f = -g*f - 6. Let i(s) = -7*s - 7. Let t be i(-2). Solve -5*h - t - f = 0 for h. -2 Let b(t) = -10 - t**2 + 2*t**2 - 4*t + 0*t**2. Let o be b(8). Suppose -2*x + 0*x = -o. Solve -1 + x = 2*d for d. 5 Let j be (-15)/(-5) + -1 + 1. Suppose -2 = w - 2*n + n, -8 = w - 4*n. Suppose -5*v + 0*v = w. Solve 3*q + v*q = -j for q. -1 Let t = -71 - -79. Solve 0 = -3*d - d + t for d. 2 Suppose 12 = -3*c, -3*c + 0 + 3 = 5*m. Suppose 3*x - 31 = 32. Suppose -m*l - 22 = -7, -3*u + 3*l + x = 0. Solve 0 = -u*p + 5*p for p. 0 Suppose f + 9 = 4*f. Solve f*o - o - 2 = 0 for o. 1 Suppose k = 4*r, -2*k - r = 3*r. Solve 0 = -k*p + 3*p for p. 0 Let s(u) = -3*u**2 - 3*u**3 + 5 - u**3 + 3*u**3 + 6*u. Let g be s(-5). Solve 2*o + g = 7*o for o. 5 Let q be (6/5)/(-2 + 48/20). Solve -o - q = 2 for o. -5 Let l(p) = p**2 + 6*p - 1. Let y be l(-6). Let d be (1 + y/2)*4. Let c = d + 0. Solve i + c = -i for i. -1 Let a = -43 + 39. Let w be 1/1 + 0/4. Let h be 2/((-6)/a - w). Solve -h = n + n for n. -2 Let r be ((-15)/(-3))/((-5)/(-6)). Let j be (8/(-10))/(r/(-15)). Solve 2*k + j = -6 for k. -4 Suppose -4*g + f + f = -246, 0 = -5*g - 5*f + 285. Suppose i +
{ "pile_set_name": "DM Mathematics" }
Put together 40.658 and -0.01. 40.648 What is 63 take away 1723? -1660 Add together -1.4 and 100. 98.6 What is the distance between -945 and 52? 997 Subtract -61 from -0.071. 60.929 -0.024 + 149.2 149.176 Work out 28394 - 0.2. 28393.8 What is 97 take away -3407? 3504 Sum -0.0942 and 9. 8.9058 What is 0.7396 less than 5? 4.2604 Put together 19 and 599.87. 618.87 -980 + -2 -982 What is -6858 less than 185? 7043 Calculate 681111 + 0. 681111 What is the difference between 11 and 26.8? 15.8 What is 1337393 + -3? 1337390 What is -14548742 plus -1? -14548743 Calculate -61 - 352. -413 Subtract 0.054 from -3023. -3023.054 -0.4 - 0.37624 -0.77624 What is the difference between 140.4 and 3.69? 136.71 Work out 0 + 203. 203 Sum 95 and -13. 82 What is 3.76 less than 0.5? -3.26 What is 0.050784 minus 7? -6.949216 Calculate -1 + 0.6096. -0.3904 Sum 1.4 and 168.8. 170.2 Work out 0.9 + 6912. 6912.9 Put together 46.76 and -3. 43.76 What is -5 minus -1.49? -3.51 Total of -292 and 0.0532. -291.9468 What is -22 take away 26? -48 What is the difference between -0.1174 and -897? 896.8826 What is the distance between -7.6 and -0.0022? 7.5978 What is -12773 - -63? -12710 What is the difference between 329 and 16? 313 Work out -0.037074 - -5. 4.962926 Subtract 0 from -18847.4. -18847.4 Add together -0.3 and 0.112. -0.188 Work out 27629 + 10. 27639 What is the difference between -0.02 and 0.088247? 0.108247 Add together -7 and -4719. -4726 Total of 1073 and -2. 1071 What is 362 + -0.1389? 361.8611 -1.8 - 6 -7.8 Sum 72 and 344. 416 45 + 5 50 Total of 835 and -5094. -4259 What is -0.4 + 3.57? 3.17 What is 0.223 less than 0.04? -0.183 Sum -9.4909 and -3. -12.4909 Add together 48.5 and 60.1. 108.6 Subtract -825 from -6. 819 What is -1529 plus 0.33? -1528.67 Add -257.7508 and 0. -257.7508 Sum 16140 and 0.2. 16140.2 What is -1012795 plus 0? -1012795 Work out -128171 + 2. -128169 What is -4 take away 0.6455? -4.6455 20418.2+-0.4 20417.8 What is the distance between 0 and 1813.7? 1813.7 Work out -24.44 - 58. -82.44 What is 34.548 less than 0.15? -34.398 Work out 0.58 - -11.8991. 12.4791 Add together 21343 and 5. 21348 Sum -10.2 and 208. 197.8 Subtract 487 from -1.045. -488.045 Add -3185075 and 0.5. -3185074.5 What is the distance between 0.044573 and 0.3? 0.255427 What is 0.152 plus 0.01? 0.162 Put together -0.6 and 63.23. 62.63 Add 662 and -1. 661 Add together -478 and 3. -475 1.4+6319 6320.4 What is 29.9 less than 22? -7.9 Subtract 0.02 from -5401. -5401.02 Work out 55 - -0.0387. 55.0387 What is 323 + 15885? 16208 Add together 9648 and 0. 9648 What is the distance between 0.46 and -625? 625.46 What is -1.27 take away 260? -261.27 181 - 16 165 What is -13 minus 280230? -280243 Total of 802 and -5. 797 What is -1287 less than 39? 1326 Total of 83829 and -0.5. 83828.5 What is 0.022 minus -30.37? 30.392 Add together -3 and 0.0512173. -2.9487827 What is 7 take away -18754? 18761 Calculate -95 + -89180. -89275 What is 25341 less than -0.1? -25341.1 What is 1 take away 93599? -93598 Calculate -337486 - 1. -337487 What is 0.4 less than 18217? 18216.6 What is 2365.6 plus 0.2? 2365.8 What is 467 + -33? 434 Add together 21654 and -0.2. 21653.8 -20.19 - -4 -16.19 What is 13 + 0.04874? 13.04874 Work out -0.3 - 187. -187.3 Work out -2.1 - -1080.4. 1078.3 What is 29228 plus 4? 29232 -125.5 + -75 -200.5 -2032654 - -0.1 -2032653.9 Subtract 9562 from 0.041. -9561.959 -6060 + -1 -6061 Put together 0 and 42. 42 Subtract -1976 from -0.4. 1975.6 Total of 0.5601 and 0.5. 1.0601 2366 - 0.18 2365.82 Work out 6 + -237164. -237158 What is 156 less than -0.03? -156.03 Total of 0.6 and -99.8. -99.2 What is 0.2 + 7.306? 7.506 -30638 + 3 -30635 Total of 0.162 and -0.0758. 0.0862 Sum 2 and 10087. 10089 Put together -1387212 and -5. -1387217 What is -170.9 take away 0? -170.9 Add 0 and -31546. -31546 What is -2 less than -526? -524 Work out -3.9 + -44. -47.9 Work out 14.8 + 0.01. 14.81 What is -0.07 + -24681? -24681.07 What is 3 plus -772249? -772246 Calculate -5 - 32.223. -37.223 Add together 244.2 and -5. 239.2 Add together 33.11 and 12. 45.11 -0.5 - 0.0062 -0.5062 Calculate -2712419 - 0. -2712419 What is -13.5 plus 90762? 90748.5 Total of -389046 and 0. -389046 Add -1407 and -0.103. -1407.103 What is the distance between -6.537 and 0.1? 6.637 What is the difference between -3 and 51381? 51384 0.045 - -13 13.045 Put together -0.024 and -503. -503.024 What is 3 less than 8848491? 8848488 Calculate 0.8 - -25154. 25154.8 Calculate 0.038025 - 5. -4.961975 Total of 22941 and -4. 22937 What is the difference between -0.4 and -814.7? 814.3 Calculate 1 - 0.2101. 0.7899 What is -0.03 + -329? -329.03 -0.00208 + 303 302.99792 Add -53927 and 10. -53917 What is -1 + -161878? -161879 Add together -4121 and 42. -4079 -124 - -8.85 -115.15 Subtract 35473 from -38. -35511 Calculate 0.18 + 0.279. 0.459 Work out -5 - -10757.8. 10752.8 Put together 60 and -63852. -63792 Put together -385.1 and 0.3. -384.8 What is the difference between 27 and -8.83? 35.83 What is -0.21 - -0.21? 0 What is the difference between -23.3 and -0.0092? 23.2908 What is 0.3 minus -428.3? 428.6 0.0449 + 0.38 0.4249 0 - 359 -359 What is the distance between 47 and 0.0504? 46.9496 What is -0.4 minus 1.448? -1.848 Calculate -0.04311 - -0.07. 0.02689 Subtract -3.4 from -280. -276.6 -603+-783 -1386 0.4+-11.719 -11.319 Total of -115 and -0.4. -115.4 Add 2898 and 0.05. 2898.05 What is -127 - -1714? 1587 Total of 0.34 and 8.655. 8.995 Subtract 0.4 from 1.293791. 0.893791 Work out -11.2 - 51055. -51066.2 Calculate 5.5 + 5138. 5143.5 Work out 5 - -9.61. 14.61 Work out 0.4 + -94. -93.6 Total of 0.17 and -20104. -20103.83 What is 86 + -1067? -981 Calculate 0.3429 - 4. -3.6571 Put together 5 and -828.3. -823.3 Total of -571 and 4. -567 What is -5867692 plus 4? -5867688 -0.07 + 64.81 64.74 Work out -11.239 - -15. 3.761 Total of -1121 and 0.1. -1120.9 What is -14.09 minus 2? -16.09 Calculate 0.3 - -1.078. 1.378 Calculate 0 + 137. 137 0.0813438+5 5.0813438 What is the difference between -4 and 10280.5? 10284.5 What is 12153.35 minus 2? 12151.35 What is -0.02398 - 0.039? -0.06298 Calculate 4.1116 - 0.21. 3.9016 Calculate 12.09 - 7.84. 4.25 3.77 + 0 3.77 0.1 - -77 77.1 Sum 0.2 and -15.76. -15.56 Put together -1 and -0.0241205. -1.0241205 What is 109 less than 0.3? -108.7 What is the distance between -1.06 and -227? 225.94 -52.8667 - -0.5 -52.3667 What is 0.291 plus 0.074? 0.365 What is -0.034 take away 201? -201.034 What is 22 + -1.16358? 20.83642 Total of -1894.92 and -0.4. -1895.32 What is 2266.05 less than -0.1? -2266.15 Subtract -0.5 from 3104.759. 3105.259 Add together -24735 and 0. -24735 Work out -0.9433 + -3. -3.9433 What is -496.45 take away -3? -493.45 Add 0.4 and 4.734. 5.134 What is 2938 minus -37? 2975 What is the difference between 6 and -47172.3? 47178.3 Work out -34 - 164. -198 Total of -6572 and 0.0815. -6571.9185 Work out -0.2 - -104.5. 104.3 What is 0.0547 less than -4.05? -4.1047 Calculate -170 + -17. -187 Subtract -0.6 from -7.53961. -6.93961 Calculate 0.13 + -42.47. -42.34 Calculate -5179 + -5. -5184 -67 + -190 -257 Subtract 864 from 6. -858 What is -5 less than -1053.46? -1048.46 What is 181.5 take away 25.4? 156.1 Calculate 1 - 144.2. -143.2 Add -96.5 and -9.62. -106.12 Sum 58625.7 and -0.4. 58625.3 Add together -39.55 and 0.3. -39.25 Calculate -141.938 - 0.5. -142.438 Put together 344 and -631. -287 Work out -0.31 - 216. -216.31 Work out 0 + -8.73. -8.73 What is the difference between 0.2 and 42.8318? 42.6318 What is the distance between -2125 and 7? 2132 What is 590 take away -153? 743 Put together -0.51 and 2. 1.49 What is the distance between 28 and 26357? 26329 Work out -0.2 - 0.0246. -0.2246 Total of 3649 and 0.03. 3649.03 Calculate 2 + -105138. -105136 Calculate -172 + -2.3355. -174.3355 825+0.4 825.4 What is the difference between 25379 and 5? 25374 -43.9 + -1.87 -45.77 What is -43.6 - -3.3? -40.3 Calculate 3377 - -33.1. 3410.1 What is 0.407943 plus -2? -1.592057 Work out -0.5 - -0.0193. -0.4807 Work out -0.3 + 36856. 36855.7 Work out -298 - 497. -795 Add -0.1185 and -0.1. -0.2185 Put together 211282 and 0.5. 211282.5 Calculate -1 + 4686.9. 4685.9 Subtract -0.212 from 4. 4.212 Total of -26.447 and 3. -23.447 Work out 3.4 + 78604. 78607
{ "pile_set_name": "DM Mathematics" }
-12, 0, 2 Suppose 3*v**3 - 399*v**2 + 6240*v + 518400 = 0. Calculate v. -27, 80 Find j such that -j**4 - 39*j**3 - 558*j**2 - 3488*j - 8064 = 0. -14, -9, -8 Factor -2*s**3 + 2872*s**2 - 14318*s + 11448. -2*(s - 1431)*(s - 4)*(s - 1) Determine w, given that -3*w**4/5 - 792*w**3 + 23841*w**2/5 - 35802*w/5 = 0. -1326, 0, 3 Factor -3*m**2 + 205512*m - 3519598512. -3*(m - 34252)**2 Suppose -50460*h**5 + 67251*h**4 - 11031*h**3 - 8637*h**2 + 3171*h - 294 = 0. Calculate h. -2/5, 7/29, 1/4, 1 Factor 7*b**3/2 - 3215*b**2/2 + 49662*b - 14058. (b - 426)*(b - 33)*(7*b - 2)/2 Factor -l**3 + 32*l**2 + 753*l + 720. -(l - 48)*(l + 1)*(l + 15) Factor -g**2/5 - 479*g - 2394/5. -(g + 1)*(g + 2394)/5 Determine l so that -l**2/4 + 177*l/2 + 724 = 0. -8, 362 Find b, given that -5*b**5 + 5910*b**4 + 89400*b**3 + 448250*b**2 + 748125*b = 0. -5, 0, 1197 What is g in 22*g**5 - 1362*g**4 - 5868*g**3 - 4840*g**2 + 5712*g + 6336 = 0? -2, -12/11, 1, 66 Solve -2*m**4 - 11930*m**3 - 71526*m**2 - 107262*m = 0. -5959, -3, 0 Solve t**4 + 174*t**3 + 8892*t**2 + 141512*t = 0. -98, -38, 0 Factor -5*j**4 + 150*j**3 - 1605*j**2 + 7280*j - 11760. -5*(j - 12)*(j - 7)**2*(j - 4) Factor l**2 + 48374*l + 585010969. (l + 24187)**2 What is m in -2*m**4/15 - 12*m**3 - 448*m**2/5 - 2624*m/15 = 0? -82, -4, 0 Suppose 29277*z**2 - 29271*z - 6 = 0. What is z? -2/9759, 1 Suppose 3*s**2 + 81711*s + 81708 = 0. Calculate s. -27236, -1 Determine f so that 3*f**2/5 - 38967*f/5 + 38964/5 = 0. 1, 12988 Determine v, given that 654*v**3 + 3374*v**2/5 - 6436*v/5 - 208/5 = 0. -2, -52/1635, 1 Solve 21*k**4 - 4171761*k**3 + 207188275173*k**2 - 266379221007*k + 59195117574 = 0 for k. 2/7, 1, 99327 Determine g, given that -g**2 + 27459*g - 27458 = 0. 1, 27458 Factor -2*p**3/5 - 898*p**2 - 497200*p + 7661400. -2*(p - 15)*(p + 1130)**2/5 Let 3*d**4 + 399*d**3 - 5193*d**2 + 3981*d + 9570 = 0. What is d? -145, -1, 2, 11 Factor -2*y**2 + 12*y + 11534. -2*(y - 79)*(y + 73) Factor -31*w**3 + 32*w**2 + 157*w + 94. -(w + 1)**2*(31*w - 94) Factor 2*m**4/17 + 6*m**3/17 - 18*m**2/17 + 10*m/17. 2*m*(m - 1)**2*(m + 5)/17 Determine z, given that 2*z**3/5 + 28824*z**2/5 + 115272*z/5 + 115264/5 = 0. -14408, -2 Factor 6*z**2/7 + 49494*z/7 + 98964/7. 6*(z + 2)*(z + 8247)/7 Solve m**3/11 + 5361*m**2/11 + 37460*m/11 - 96372/11 = 0. -5354, -9, 2 Factor 3*u**3 + 71046*u**2 + 142083*u + 71040. 3*(u + 1)**2*(u + 23680) Let 4*s**4/7 - 55036*s**3/7 + 220100*s**2/7 - 275108*s/7 + 15720 = 0. Calculate s. 1, 2, 13755 Solve 10*w**3/13 - 464*w**2/13 - 762*w/13 - 288/13 = 0. -1, -3/5, 48 Determine b so that -b**5/3 + 162*b**4 + 488*b**3/3 - 162*b**2 - 487*b/3 = 0. -1, 0, 1, 487 Factor r**4/3 + 3382*r**3/3 + 952032*r**2 - 1908576*r. r*(r - 2)*(r + 1692)**2/3 Factor t**2/3 - 557*t - 26992/3. (t - 1687)*(t + 16)/3 Let -3*w**5/5 + 1146*w**4/5 + 1152*w**3/5 - 1146*w**2/5 - 1149*w/5 = 0. Calculate w. -1, 0, 1, 383 Let 2*k**3/7 - 6386*k**2/7 + 725946*k + 25568010/7 = 0. Calculate k. -5, 1599 Suppose 196*z**4 - 16940*z**3 + 343464*z**2 + 200432*z + 28832 = 0. What is z? -2/7, 34, 53 Factor -2*b**2/17 - 1648*b + 589218/17. -2*(b - 21)*(b + 14029)/17 Factor 2*a**2/5 + 454*a/5 + 4756. 2*(a + 82)*(a + 145)/5 Determine z so that -4*z**3/7 - 38744*z**2/7 + 116268*z/7 = 0. -9689, 0, 3 Determine m so that m**3/3 + 151385*m**2/3 + 302767*m/3 + 50461 = 0. -151383, -1 Find r such that r**5 + 482*r**4 + 56608*r**3 - 357216*r**2 = 0. -244, 0, 6 Suppose t**2 - 17328*t + 86615 = 0. Calculate t. 5, 17323 Let -5929*q**4/3 + 45661*q**3 - 265604*q**2 + 81680*q/3 - 704 = 0. Calculate q. 4/77, 11, 12 Determine p so that -7*p**3 - 1024*p**2 - 292*p = 0. -146, -2/7, 0 Solve 18*n**2 - 34467*n - 40236 = 0. -7/6, 1916 Factor r**5/7 - 9216*r**4/7 + 21325524*r**3/7 - 422832080*r**2/7. r**2*(r - 4598)**2*(r - 20)/7 Factor -2*x**3 + 16670*x**2 + 16672*x. -2*x*(x - 8336)*(x + 1) Suppose -4*n**3 - 20*n**2 + 4464*n = 0. Calculate n. -36, 0, 31 Factor -2*m**2/7 - 41236*m/7. -2*m*(m + 20618)/7 Factor y**3 - 11269*y**2 - 112765*y - 281975. (y - 11279)*(y + 5)**2 Determine p so that -p**2 - 57*p + 2380 = 0. -85, 28 Solve -2*g**3/17 + 11754*g**2 - 4990604400*g/17 - 14973611616/17 = 0. -3, 49956 Factor 3*v**3/4 + 1305*v**2/4 - 1977*v/2 - 1314. 3*(v - 4)*(v + 1)*(v + 438)/4 Find o such that -o**3/2 - 309*o**2 + o/2 + 309 = 0. -618, -1, 1 Factor -5*k**3/3 + 22169*k**2/3 - 8190337*k - 1638363. -(k - 2217)**2*(5*k + 1)/3 Find f such that f**2/2 + 2143*f/2 - 4294 = 0. -2147, 4 Determine y so that -y**5/8 + 61*y**4/4 + 6301*y**3/4 + 1482*y**2 - 62001*y/8 + 18711/4 = 0. -66, -3, 1, 189 Factor -3*t**3/5 - 1854*t**2/5 - 372123*t/5 - 4798164. -3*(t + 140)*(t + 239)**2/5 Factor 3*h**3 + 4920*h**2 + 618879*h + 20281302. 3*(h + 67)**2*(h + 1506) Suppose -9*o**3 + 281*o**2 - 332*o + 60 = 0. Calculate o. 2/9, 1, 30 Find w such that 55*w**5 - 185*w**4 + 225*w**3 - 115*w**2 + 20*w = 0. 0, 4/11, 1 Determine l, given that -156*l**4/7 - 40720*l**3/7 - 23148*l**2 - 164496*l/7 - 4112/7 = 0. -257, -2, -1/39 Solve -v**2/3 + 426290*v - 136292373075 = 0 for v. 639435 Solve 16384*f**4 + 1863168*f**3 + 20334000*f**2 + 154953125*f/2 + 99609375 = 0 for f. -102, -125/32 Factor -4*i**3 + 72*i**2 - 236*i - 792. -4*(i - 11)*(i - 9)*(i + 2) Determine w, given that 12*w**5 + 8224*w**4 + 51544*w**3 - 40768*w**2 - 19012*w = 0. -679, -7, -1/3, 0, 1 Find o, given that -o**2/3 - 6580*o - 138131/3 = 0. -19733, -7 Solve -w**2/3 + 65*w/3 - 338 = 0. 26, 39 Factor -2116*o**3/3 + 912088*o**2/3 - 39653*o/3 + 431/3. -(o - 431)*(46*o - 1)**2/3 Factor -m**3/5 - 301*m**2/5 + 2156*m/5. -m*(m - 7)*(m + 308)/5 Determine q so that -5*q**4 + 8730*q**3 - 3801905*q**2 - 7630020*q - 3819380 = 0. -1, 874 Find g, given that 4*g**2/3 + 23132*g - 69400/3 = 0. -17350, 1 Suppose -56*s**5 - 262*s**4 + 914*s**3/9 + 176*s**2/3 + 40*s/9 = 0. Calculate s. -5, -1/4, -2/21, 0, 2/3 Find g such that 4*g**3 - 724*g**2 + 1436*g - 716 = 0. 1, 179 Solve 4*h**2 + 16560*h - 82900 = 0 for h. -4145, 5 What is n in 6*n**4 - 329*n**3 + 11822*n**2/3 + 48517*n/3 - 8410/3 = 0? -10/3, 1/6, 29 Factor -2*h**3/11 - 8*h**2/11 + 82*h/11 - 72/11. -2*(h - 4)*(h - 1)*(h + 9)/11 Find j, given that j**3/9 + 428*j**2/9 - 6139*j/9 + 21658/9 = 0. -442, 7 Let 2*k**4/21 + 194*k**3/21 - 620*k**2/7 + 5056*k/21 - 3392/21 = 0. What is k? -106, 1, 4 Let 3*n**2 - 87819*n + 175626 = 0. What is n? 2, 29271 Factor 5*t**3 - 4030*t**2 - 4045*t + 8070. 5*(t - 807)*(t - 1)*(t + 2) Suppose 2*j**4 - 40*j**3 - 1578*j**2 - 2240*j + 54400 = 0. What is j? -17, -8, 5, 40 Factor t**3/3 - 16*t**2/3 - 273*t + 4698. (t - 27)*(t - 18)*(t + 29)/3 Determine s, given that s**5 + 55*s**4 + 341*s**3 + 233*s**2 - 342*s - 288 = 0. -48, -6, -1, 1 Factor s**3/8 + 75*s**2/2 + 20253*s/8 - 172543/4. (s - 14)*(s + 157)**2/8 What is t in -4*t**3/9 - 640*t**2/9 - 22100*t/9 + 289000/9 = 0? -85, 10 Factor 35*l**2 + 13760*l - 81795. 5*(l + 399)*(7*l - 41) Suppose y**5/3 - 365*y**4/3 + 14047*y**3/3 - 156203*y**2/3 + 271720*y/3 - 129200/3 = 0. Calculate y. 1, 20, 323 Let -h**2/2 - 46*h - 546 = 0. What is h? -78, -14 Factor 35*i**2/2 - 22454*i + 3849/2. (i - 1283)*(35*i - 3)/2 Determine y, given that -y**3 - 240*y**2 - 3375*y = 0. -225, -15, 0 Solve -o**5/2 - 73*o**4/2 - 385*o**3/2 + 1145*o**2/2 + 193*o - 536 = 0 for o. -67, -8, -1, 1, 2 What is q in q**4/4 + 5475*q**3/4 + 16419*q**2/4 + 16417*q/4 + 1368 = 0? -5472, -1 What is j in -5716*j**2 + 11428*j + 8 = 0? -1/1429, 2 Suppose 3*h**2/2 + 55455*h/2 - 55461 = 0. What is h? -18487, 2 Factor 3*g**2/2 - 1049895*g/4 - 524949/4. 3*(g - 174983)*(2*g + 1)/4 Factor -2*y**3/5 + 703804*y**2/5 + 1407614*y/5 + 703808/5. -2*(y - 351904)*(y + 1)**2/5 What is c in -4*c**2 - 780*c - 12744 = 0? -177, -18 Factor -p**3/5 + 178*p**2 + 32279*p/5 + 17760. -(p - 925)*(p + 3)*(p + 32)/5 Factor -2*i**3 - 1980*i**2 + 1982*i. -2*i*(i - 1)*(i + 991) Find b such that 2*b**4/5 - 100*b**3 + 30738*b**2/5 + 65016*b/5 - 95256/5 = 0. -3, 1, 126 Suppose q**2/6 + 26*q/3 - 783/2 = 0. What is q? -81, 29 Factor -p**2/8 + 197*p/4 - 1848. -(p - 352)*(p - 42)/8 What is s in -45*s**2 - 70550*s + 15680 = 0? -1568, 2/9 Let -2*p**4/7 + 88*p**3 + 622*p**2/7 - 1236*p/7 = 0. Calculate p. -2, 0, 1, 309 Factor -3*f**2 + 445686*f + 445689. -3*(f - 148563)*(f + 1) Find q such that 3*q**3 + 66*q**2 - 69*q = 0. -23, 0, 1 Suppose 4*y**3
{ "pile_set_name": "DM Mathematics" }
9 What is the ten thousands digit of 2562851340? 5 What is the thousands digit of 7498658380? 8 What is the hundred thousands digit of 7208594? 2 What is the ten millions digit of 249469415? 4 What is the hundred millions digit of 687788406? 6 What is the millions digit of 645344004? 5 What is the units digit of 39985057? 7 What is the hundred thousands digit of 288319601? 3 What is the hundreds digit of 26126450? 4 What is the units digit of 122585571? 1 What is the tens digit of 1890121714? 1 What is the ten millions digit of 2896045294? 9 What is the units digit of 123949491? 1 What is the units digit of 4290704818? 8 What is the tens digit of 155787190? 9 What is the tens digit of 8135975? 7 What is the hundreds digit of 2212650970? 9 What is the ten thousands digit of 365679974? 7 What is the thousands digit of 432217928? 7 What is the hundred thousands digit of 6112591? 1 What is the units digit of 243694532? 2 What is the tens digit of 1230851? 5 What is the ten thousands digit of 134067797? 6 What is the hundreds digit of 417672477? 4 What is the hundred millions digit of 153637667? 1 What is the ten thousands digit of 496627778? 2 What is the ten thousands digit of 134717267? 1 What is the ten millions digit of 903469206? 0 What is the units digit of 4149873095? 5 What is the ten millions digit of 151713055? 5 What is the ten millions digit of 50357414? 5 What is the tens digit of 139325048? 4 What is the units digit of 5629497148? 8 What is the thousands digit of 167798332? 8 What is the hundreds digit of 9724802? 8 What is the ten thousands digit of 351250973? 5 What is the ten thousands digit of 110128033? 2 What is the hundred millions digit of 498608545? 4 What is the ten thousands digit of 49090172? 9 What is the tens digit of 46750493? 9 What is the hundreds digit of 488377594? 5 What is the units digit of 1113028122? 2 What is the millions digit of 73382459? 3 What is the tens digit of 4789547703? 0 What is the ten thousands digit of 47525648? 2 What is the units digit of 83311266? 6 What is the units digit of 2616878288? 8 What is the ten thousands digit of 330303064? 0 What is the tens digit of 48450477? 7 What is the ten millions digit of 277327976? 7 What is the ten thousands digit of 478945276? 4 What is the hundred millions digit of 245169692? 2 What is the hundreds digit of 136858633? 6 What is the tens digit of 98230576? 7 What is the millions digit of 31796866? 1 What is the ten millions digit of 233501019? 3 What is the ten millions digit of 223463926? 2 What is the hundred millions digit of 1804979956? 8 What is the billions digit of 3021740852? 3 What is the hundreds digit of 2614212? 2 What is the millions digit of 123368829? 3 What is the ten millions digit of 821140128? 2 What is the hundred thousands digit of 53531947? 5 What is the ten thousands digit of 167101557? 0 What is the hundred thousands digit of 1879139038? 1 What is the units digit of 1970768821? 1 What is the hundreds digit of 358401051? 0 What is the hundreds digit of 1091963965? 9 What is the hundreds digit of 2118684633? 6 What is the units digit of 27521986? 6 What is the hundred thousands digit of 115650818? 6 What is the tens digit of 265195457? 5 What is the ten thousands digit of 1280997426? 9 What is the millions digit of 678689638? 8 What is the hundred millions digit of 386580904? 3 What is the hundreds digit of 3812758855? 8 What is the ten thousands digit of 14816929? 1 What is the thousands digit of 71146312? 6 What is the ten millions digit of 1298757249? 9 What is the ten millions digit of 4136875212? 3 What is the hundred thousands digit of 260150086? 1 What is the tens digit of 17451409? 0 What is the hundred thousands digit of 69970014? 9 What is the ten thousands digit of 257611047? 1 What is the tens digit of 19772826? 2 What is the millions digit of 616578570? 6 What is the hundreds digit of 1066897? 8 What is the ten thousands digit of 38514986? 1 What is the ten millions digit of 508419800? 0 What is the hundred thousands digit of 9604563? 6 What is the units digit of 1207087635? 5 What is the hundreds digit of 251382565? 5 What is the hundreds digit of 210298309? 3 What is the thousands digit of 66823851? 3 What is the units digit of 35930864? 4 What is the millions digit of 128773979? 8 What is the tens digit of 1576503755? 5 What is the units digit of 820427729? 9 What is the hundreds digit of 9513067? 0 What is the hundred thousands digit of 130364279? 3 What is the tens digit of 409882100? 0 What is the thousands digit of 95223778? 3 What is the millions digit of 2600649605? 0 What is the ten thousands digit of 601690231? 9 What is the millions digit of 162863436? 2 What is the thousands digit of 127009124? 9 What is the hundreds digit of 2036507306? 3 What is the hundred millions digit of 511844825? 5 What is the ten thousands digit of 5592597624? 9 What is the tens digit of 6493709? 0 What is the millions digit of 65439793? 5 What is the ten thousands digit of 73067785? 6 What is the billions digit of 5565596069? 5 What is the hundred thousands digit of 6255802? 2 What is the ten millions digit of 72242401? 7 What is the units digit of 1544096846? 6 What is the thousands digit of 60731154? 1 What is the hundreds digit of 80922947? 9 What is the hundreds digit of 121779975? 9 What is the thousands digit of 150504463? 4 What is the tens digit of 75679320? 2 What is the ten millions digit of 80485602? 8 What is the hundred millions digit of 1068420733? 0 What is the tens digit of 216912701? 0 What is the billions digit of 4607652488? 4 What is the hundred thousands digit of 236785236? 7 What is the units digit of 188103525? 5 What is the hundred millions digit of 490332970? 4 What is the hundred thousands digit of 200463026? 4 What is the thousands digit of 2378151? 8 What is the millions digit of 441113590? 1 What is the ten millions digit of 268604579? 6 What is the units digit of 499005120? 0 What is the units digit of 6467633815? 5 What is the ten millions digit of 278643665? 7 What is the ten millions digit of 64016384? 6 What is the ten millions digit of 141764956? 4 What is the hundred thousands digit of 21375472? 3 What is the tens digit of 1878138234? 3 What is the ten millions digit of 764283147? 6 What is the millions digit of 34251478? 4 What is the ten thousands digit of 874690808? 9 What is the ten thousands digit of 352825179? 2 What is the hundred thousands digit of 318555824? 5 What is the millions digit of 2493025033? 3 What is the tens digit of 16298693? 9 What is the millions digit of 24045458? 4 What is the hundreds digit of 29942877? 8 What is the hundred millions digit of 171914409? 1 What is the tens digit of 520630717? 1 What is the thousands digit of 375957365? 7 What is the hundred thousands digit of 22910875? 9 What is the hundreds digit of 112816329? 3 What is the thousands digit of 10044783? 4 What is the ten millions digit of 1387210449? 8 What is the hundred millions digit of 2977531834? 9 What is the thousands digit of 7783744467? 4 What is the units digit of 982480929? 9 What is the hundred thousands digit of 38006235? 0 What is the thousands digit of 200040646? 0 What is the millions digit of 6430955643? 0 What is the thousands digit of 411770774? 0 What is the hundreds digit of 1347173? 1 What is the ten thousands digit of 1138171635? 7 What is the hundreds digit of 82966812? 8 What is the tens digit of 645279598? 9 What is the hundred thousands digit of 3425993297? 9 What is the millions digit of 1137254428? 7 What is the hundreds digit of 132239387? 3 What is the tens digit of 36846037? 3 What is the thousands digit of 1426887? 6 What is the ten thousands digit of 512620124? 2 What is the ten millions digit of 3161886449? 6 What is the thousands digit of 492092830? 2 What is the ten thousands digit of 2193927610? 2 What is the ten thousands digit of 58732220? 3 What is the tens digit of 108174597? 9 What is the hundred thousands digit of 3051744159? 7 What is the ten millions digit of 3079624588? 7 What is the millions digit of 3267529222? 7 What is the thousands digit of 216294009? 4 What is the hundred thousands digit of 338881282? 8 What is the ten thousands digit of 46664384
{ "pile_set_name": "DM Mathematics" }
b**6 - 165*b**5 - 10*b**6 + 2392*b**2 wrt b? -240*b**3 + 8472 Let w = 23 - -1. Let c = w + 5. What is the third derivative of 69*v**3 + 0*v**2 + c*v**2 - 91*v**3 wrt v? -132 Let n(z) be the second derivative of -3167*z**4/4 - 5131*z**2/2 - 2*z - 511. Differentiate n(m) with respect to m. -19002*m Let w(v) be the first derivative of v**3/3 - 124*v**2 - 5166*v + 2636. Differentiate w(h) wrt h. 2*h - 248 Find the first derivative of -642 - 445 + 3524*r**4 - 13002*r**4 - 129 + 386 wrt r. -37912*r**3 Let q(l) = l**3 + 20*l**2 + 37*l + 21. Let y be q(-18). What is the first derivative of 2*d**y + 15*d**3 - 12*d**3 + 3*d**2 - d**2 - 108 wrt d? 15*d**2 + 4*d Let g(h) be the first derivative of -1289*h**5/5 - 1085*h + 135. Differentiate g(k) with respect to k. -5156*k**3 Let c(m) = -3*m + 4. Let s(o) = 7381*o - 2426. Let u(r) = -6*c(r) + s(r). What is the derivative of u(d) wrt d? 7399 Let u = -150 - -162. What is the second derivative of 16*h - u*h - 19*h**5 - 27*h + 1 wrt h? -380*h**3 Let c(v) = 3*v**3 - v**2 + 5*v - 2. Let i be c(3). Suppose i = 24*t - 19*t. What is the third derivative of -50*j**2 - 31 + 62 - t*j**3 - 31 wrt j? -102 Suppose 2*h = 1 + 3. What is the third derivative of 61*f**4 + 25*f**h - 43 + 43 + 18*f**2 wrt f? 1464*f What is the second derivative of 1545*y**5 + 4192*y**5 + 1 - 2*y - 124 wrt y? 114740*y**3 Let p(g) be the first derivative of 526*g**7/7 + 9*g**4/4 - 20*g**3/3 + 64*g**2 + 3215. What is the third derivative of p(j) wrt j? 63120*j**3 + 54 Let i be (-30)/15*(2 + -4). What is the third derivative of -31*s**2 - i*s**6 - 2 + 41*s**6 + 14*s**2 - 27*s**2 wrt s? 4440*s**3 Let n(c) be the third derivative of 379*c**5/30 + 79*c**3/6 + 1091*c**2. What is the derivative of n(f) wrt f? 1516*f Let i(b) = -b - 85. Let n be i(0). Let h be (2 - -1)*n/(-51). Find the first derivative of 5*l + 28 - h*l - 3*l - 5*l wrt l. -8 Let d(m) be the third derivative of -917*m**5/30 - 2035*m**4/24 - 1681*m**2. What is the second derivative of d(l) wrt l? -3668 Let o(t) = -4*t**2 - 2*t + 144. Let p(s) = 4*s + 13 + 119 - 5*s**2 + 40 - 28 - 6*s. Let a(w) = 5*o(w) - 6*p(w). What is the derivative of a(i) wrt i? 20*i + 2 Let c be -5 - -11 - (-50 + 7). Find the first derivative of 44 - c*h**3 - 27 + h + 69 wrt h. -147*h**2 + 1 Let h(j) be the first derivative of 35*j**4/12 - 5*j**3/6 - 53*j + 15. Let g(s) be the first derivative of h(s). What is the second derivative of g(b) wrt b? 70 Let t be (1 + 152/(-56))/(2/(-7)). What is the third derivative of 122*n**2 + 34*n**6 - 87*n**t + 34*n**2 - 87*n**6 - 35*n**6 wrt n? -21000*n**3 What is the second derivative of -346*h**3 - 439*h**3 - 390*h**3 + 212*h**3 + 805*h + 967*h wrt h? -5778*h Let n(c) = -24*c - 3. Let a be n(-3). Let f = a - 63. Find the first derivative of -27 - 6*d - d + f*d wrt d. -1 Let g(l) = -l**3 + 14*l**2 - 11*l - 20. Let v be g(13). What is the second derivative of -v*s**4 - 179*s**4 - 389*s + 97*s wrt s? -2220*s**2 Let h(g) = -2396*g + 7612. Let f(y) = 2331*y - 7612. Let z(p) = -3*f(p) - 2*h(p). Differentiate z(n) wrt n. -2201 Let s(p) be the second derivative of -91*p**5/4 + p**4/12 + 11803*p**2/2 + 5656*p + 2. What is the first derivative of s(r) wrt r? -1365*r**2 + 2*r Let j(o) = 1. Let w(p) be the third derivative of 0*p - 11/3*p**3 + 0 + 20*p**2 - 1/8*p**4. Let i(b) = 2*j(b) + w(b). Differentiate i(a) wrt a. -3 Let m(d) be the first derivative of 8*d**2 - 13/24*d**4 + 0*d + 4*d**3 - 5. Let c(b) be the second derivative of m(b). Find the first derivative of c(w) wrt w. -13 Let i = 94 - 69. Let n = i - 19. What is the third derivative of 23*c**2 + 18*c**n + 4*c**2 - 3*c**2 wrt c? 2160*c**3 Let b be 3 + (4 - 8) + 6 + 1. Suppose -5*d - b*r + r = 0, -2*d + 3*r = -25. What is the third derivative of 28*l**2 + 18*l**d + 40*l**2 - 49*l**2 wrt l? 1080*l**2 Let z(u) = 46*u + 3. Let y(l) = 3602*l - 122. Let s(c) = -2*y(c) + 4*z(c). Find the first derivative of s(n) wrt n. -7020 Suppose -27*g + 41 = -13. Find the first derivative of -15*u**g - 5*u - 27*u**2 + 79 + 29 + 13*u**2 + 7*u wrt u. -58*u + 2 Find the third derivative of -93877*b**4 - 24*b**2 - 120 + b**6 + 187768*b**4 - 93852*b**4 + b**5 wrt b. 120*b**3 + 60*b**2 + 936*b Suppose -12*z + 3*b + 2 = -11*z, -3 = -3*b. What is the second derivative of 130*l**5 + 145*l + 11*l**3 + 14*l**z - 11*l**3 wrt l? 2880*l**3 Let x(m) be the first derivative of -3*m**5/5 - 159*m**4/2 - 3767*m + 551. What is the first derivative of x(f) wrt f? -12*f**3 - 954*f**2 Let t(h) = 38*h**4 - 3*h**3 - 9*h - 2003. Let b(z) = -37*z**4 + 2*z**3 + 8*z + 2003. Let i(f) = -4*b(f) - 3*t(f). What is the derivative of i(j) wrt j? 136*j**3 + 3*j**2 - 5 What is the third derivative of -2*s + 1389632*s**3 - 1389632*s**3 + 74*s**5 + 2*s + 273*s**2 wrt s? 4440*s**2 Let t be 35/(-7) - (-35)/5. What is the second derivative of -97047*a**t + 97047*a**2 + 12*a**5 - 156*a + 3*a**3 wrt a? 240*a**3 + 18*a What is the second derivative of -627*g - 1449*g + 2425*g**3 - 13 + 13 wrt g? 14550*g Let q(h) be the first derivative of -3531*h**4/2 + h**3/3 - 67*h**2/2 + 14*h - 8715. Find the third derivative of q(j) wrt j. -42372 Let l(b) = -488*b - 211. Let u(o) = -242*o - 106. Let z be 24/(-28)*(-91)/(-26). Let y(x) = z*l(x) + 7*u(x). What is the derivative of y(f) wrt f? -230 Let i(c) be the second derivative of -119*c**2 - 163/6*c**3 + 96*c + 0. Find the first derivative of i(q) wrt q. -163 Suppose 2*j - 7 + 41 = 4*u, -j - 3 = 0. Let x be u - 1*1/(-1). Differentiate -2*b + x + 12 + 3*b with respect to b. 1 Suppose -3*i - 10*k = 0, 0 = 3*i - 9*k + 7*k. Let l(o) be the third derivative of 0*o + 4*o**2 + 7/8*o**4 + i - 7/2*o**3. What is the derivative of l(w) wrt w? 21 Let o be (-1 + (-6)/(-4))*22. Suppose -o*i = -7*i - 28. Find the second derivative of -16*l - 10*l + 28*l - i*l**5 - 2*l**5 wrt l. -180*l**3 What is the third derivative of -c + 27 - 28 + 1373*c**5 + 57*c**5 - 20*c**2 wrt c? 85800*c**2 Let v(o) = -4*o - 18. Let c(h) = 15*h + 24. Let p(n) = -13*n - 23. Let f(j) = 4*c(j) + 5*p(j). Let y(z) = -5*f(z) + 4*v(z). Differentiate y(k) wrt k. 9 Find the third derivative of -518*m**6 - 13056*m + 8 + 18*m**2 + 4*m**2 + 13056*m wrt m. -62160*m**3 Let a(l) = 5*l**4 - 37*l**3 + 6*l**2 + 6*l - 959. Let t(k) = -k**4 - 2*k**3 + k**2 + k - 5. Let h(j) = a(j) - 6*t(j). Differentiate h(y) with respect to y. 44*y**3 - 75*y**2 What is the second derivative of 22*z + 120*z - 80*z + 10 - 12 + 301*z - 1147*z**2 wrt z? -2294 What is the first derivative of -1193*a**3 + 471 - 86*a + 2*a**2 - 61*a + 147*a wrt a? -3579*a**2 + 4*a Let u = -3 + 77. Let r = -65 + u. Find the third derivative of r*q**2 + 8*q**2 - 22*q**4 + 9*q**4 wrt q. -312*q What is the first derivative of -929 + 116*c - 238*c - 678*c**2 + 22*c**2 + 122*c wrt c? -1312*c Differentiate -112024*p + 3293 + 112024*p + 2835*p**3 with respect to p. 8505*p**2 Let d(b) be the second derivative of 601*b**7/21 + 43*b**4/12 - 4*b - 61. What is the third derivative of d(g) wrt g? 72120*g**2 Let k(r) = 3*r**3 - 6*r**2 - 2*r - 7. Let x be k(3). Find the second derivative of 27*c - 80*c**4 - 9*c - 11 + 3 - x*c wrt c. -960*c**2 Let v be (9/(-4))/((-3)/140). What is the third derivative of -55*g**2 + 2 + v*g**2 + 2 - 53*g**2 - 59*g**3 wrt g? -354 Let b = -7 - -30. Let a = -10 + b. Find the second derivative of 14*t - 39*t + a*t - 17*t**5 wrt t. -340*t**3 Differentiate -8499003*o + 8499003*o + 226 + 717*o**4 + o**2 wrt o. 2868*o**3 + 2*o Let n(v) be the first derivative of -805*v**4/4 + 4341*v + 2342. What is the derivative of n(g) wrt g? -2415*g**2 Let x(w) = 256*w**2 + w + 170. Let v(a) = -508*a**2 - 2*a - 339. Let g(z) = 4*v(z) + 7*x(z). Find the second derivative of g(i) wrt i. -480 Let y(w) be the first derivative of -3901*w**5/5 - w**4/4 - 2696*w**3 + 842. What is the third derivative of y(r) wrt r? -93624*r - 6 Let z(s) be the third derivative of -29*s**7/2520 + 77*s**6/720 + 7*s**5/30 + s**2 + 11*s. Let c(p) be the third derivative of z(p). Differentiate c(b) wrt b. -58 Let x(v) be the second derivative of 1/20*v**5 - 4 + 11*v - 17*v**2 + 0*v**3 + 0*v**4. Differentiate x(p) with respect to p. 3*p**2 Suppose 40*d - 1533 = 33*d. What is the second derivative of 107*a**3 - 28 + 89*a**3 + 113*a + 108*a - d*a wrt a? 1176*a Let p(l) be the first derivat
{ "pile_set_name": "DM Mathematics" }
179, 1273182, 1273185? 3*r + 1273173 What is the l'th term of 63637, 254623, 572933, 1018567? 63662*l**2 - 25 What is the j'th term of 2204, 2170, 2110, 2024, 1912, 1774? -13*j**2 + 5*j + 2212 What is the i'th term of -1124231, -2248469, -3372721, -4496993, -5621291, -6745621, -7869989? -i**3 - i**2 - 1124228*i - 1 What is the w'th term of -1889158, -3778312, -5667466, -7556620? -1889154*w - 4 What is the t'th term of -2949, -2869, -2789, -2709? 80*t - 3029 What is the h'th term of -171, -844, -1965, -3534, -5551, -8016, -10929? -224*h**2 - h + 54 What is the s'th term of 9576, 19156, 28736, 38316? 9580*s - 4 What is the o'th term of 56, 136, 246, 368, 484? -3*o**3 + 33*o**2 + 2*o + 24 What is the k'th term of -1074, -1165, -1256, -1347? -91*k - 983 What is the n'th term of 9, 212, 455, 732, 1037, 1364? -n**3 + 26*n**2 + 132*n - 148 What is the a'th term of 555410, 555395, 555370, 555335? -5*a**2 + 555415 What is the u'th term of 577, 76, -425, -926, -1427, -1928? -501*u + 1078 What is the b'th term of 1252, 1356, 1492, 1660, 1860, 2092? 16*b**2 + 56*b + 1180 What is the u'th term of 187, 365, 597, 895, 1271, 1737, 2305, 2987? 2*u**3 + 15*u**2 + 119*u + 51 What is the d'th term of 145, 522, 1381, 2962, 5505, 9250, 14437? 40*d**3 + d**2 + 94*d + 10 What is the z'th term of 13469, 26938, 40407? 13469*z What is the l'th term of -7193, -7122, -7051, -6980, -6909? 71*l - 7264 What is the l'th term of 599, 2129, 4677, 8243, 12827? 509*l**2 + 3*l + 87 What is the f'th term of -233054, -233055, -233056, -233057, -233058? -f - 233053 What is the x'th term of 738, 558, 258, -162, -702? -60*x**2 + 798 What is the a'th term of -542, -502, -388, -164, 206, 758, 1528, 2552? 6*a**3 + a**2 - 5*a - 544 What is the f'th term of 6476, 6461, 6444, 6425, 6404, 6381, 6356? -f**2 - 12*f + 6489 What is the i'th term of 93, -383, -859? -476*i + 569 What is the q'th term of -58526, -58525, -58524? q - 58527 What is the q'th term of 20, 4, 4, 26, 76, 160, 284? q**3 + 2*q**2 - 29*q + 46 What is the j'th term of 2541, 4860, 7179, 9498, 11817? 2319*j + 222 What is the a'th term of -966, -956, -942, -924, -902, -876? 2*a**2 + 4*a - 972 What is the s'th term of -64603, -258443, -581517, -1033831, -1615391, -2326203? -s**3 - 64611*s**2 + 9 What is the f'th term of -1350, -2712, -4074, -5436, -6798, -8160? -1362*f + 12 What is the j'th term of 8485, 7973, 6583, 3877, -583, -7235, -16517? -73*j**3 - j**2 + 2*j + 8557 What is the h'th term of -5035, -10016, -14995, -19972, -24947, -29920? h**2 - 4984*h - 52 What is the x'th term of -16828, -33651, -50468, -67279? 3*x**2 - 16832*x + 1 What is the z'th term of 190, 195, 198, 199? -z**2 + 8*z + 183 What is the o'th term of 5877, 5886, 5895, 5904, 5913, 5922? 9*o + 5868 What is the u'th term of -54, -203, -452, -801, -1250, -1799? -50*u**2 + u - 5 What is the s'th term of 169785, 169787, 169789, 169791, 169793, 169795? 2*s + 169783 What is the h'th term of -25124, -50250, -75372, -100490, -125604, -150714, -175820? 2*h**2 - 25132*h + 6 What is the m'th term of 498, 2021, 4568, 8139, 12734, 18353, 24996? 512*m**2 - 13*m - 1 What is the o'th term of 76824, 76835, 76852, 76875, 76904, 76939? 3*o**2 + 2*o + 76819 What is the k'th term of 214273, 214275, 214277, 214279, 214281? 2*k + 214271 What is the m'th term of -183245, -183244, -183245, -183248, -183253? -m**2 + 4*m - 183248 What is the k'th term of 982, 773, 412, -101, -766, -1583? -76*k**2 + 19*k + 1039 What is the c'th term of -167155, -167154, -167155, -167158? -c**2 + 4*c - 167158 What is the o'th term of -16, 72, 266, 566, 972? 53*o**2 - 71*o + 2 What is the u'th term of -10428, -10413, -10398, -10383, -10368, -10353? 15*u - 10443 What is the i'th term of 6491, 12988, 19485, 25982? 6497*i - 6 What is the k'th term of -339, -668, -957, -1200, -1391? k**3 + 14*k**2 - 378*k + 24 What is the u'th term of 1391, 2834, 4337, 5912, 7571, 9326? 2*u**3 + 18*u**2 + 1375*u - 4 What is the v'th term of -10087, -20180, -30273, -40366, -50459, -60552? -10093*v + 6 What is the p'th term of 1326, 2642, 3958, 5274, 6590? 1316*p + 10 What is the o'th term of 295, 392, 103, -764, -2401, -5000, -8753, -13852? -32*o**3 - o**2 + 324*o + 4 What is the q'th term of -3619, -7215, -10811? -3596*q - 23 What is the b'th term of 17555, 17571, 17607, 17669, 17763, 17895, 18071? b**3 + 4*b**2 - 3*b + 17553 What is the l'th term of -12, -32, -58, -90, -128, -172? -3*l**2 - 11*l + 2 What is the n'th term of 4755, 4401, 4047, 3693? -354*n + 5109 What is the r'th term of 9040, 9065, 9116, 9199, 9320, 9485? r**3 + 7*r**2 - 3*r + 9035 What is the t'th term of -403, -332, -275, -238, -227, -248, -307, -410? -t**3 - t**2 + 81*t - 482 What is the m'th term of -812, -1568, -2326, -3086, -3848, -4612? -m**2 - 753*m - 58 What is the v'th term of 2022, 2029, 2036, 2043, 2050? 7*v + 2015 What is the q'th term of 708, 573, 438? -135*q + 843 What is the f'th term of 998, 2416, 3858, 5336, 6862? 2*f**3 + 1404*f - 408 What is the d'th term of -14502, -14571, -14642, -14715, -14790, -14867? -d**2 - 66*d - 14435 What is the t'th term of 32, 208, 380, 548, 712, 872, 1028? -2*t**2 + 182*t - 148 What is the y'th term of -337132, -674263, -1011394, -1348525, -1685656? -337131*y - 1 What is the b'th term of 10137, 10143, 10155, 10173, 10197, 10227, 10263? 3*b**2 - 3*b + 10137 What is the n'th term of 4829, 4825, 4821, 4817? -4*n + 4833 What is the k'th term of 321560, 643120, 964680, 1286240, 1607800, 1929360? 321560*k What is the n'th term of -368, -871, -1374, -1877, -2380, -2883? -503*n + 135 What is the t'th term of -3161, -3226, -3333, -3482, -3673, -3906? -21*t**2 - 2*t - 3138 What is the k'th term of 267038, 534083, 801128, 1068173? 267045*k - 7 What is the a'th term of 266615, 266611, 266605, 266597, 266587, 266575, 266561? -a**2 - a + 266617 What is the q'th term of -6428, -12866, -19304, -25742, -32180, -38618? -6438*q + 10 What is the q'th term of 169, 149, 103, 31? -13*q**2 + 19*q + 163 What is the p'th term of -9094, -36370, -81830, -145474, -227302? -9092*p**2 - 2 What is the g'th term of -101959, -101958, -101957, -101956, -101955? g - 101960 What is the t'th term of 477, 839, 1447, 2307, 3425? t**3 + 117*t**2 + 4*t + 355 What is the l'th term of -260, -517, -760, -989? 7*l**2 - 278*l + 11 What is the k'th term of 3381, 5405, 7429, 9453, 11477? 2024*k + 1357 What is the w'th term of -127, -570, -1641, -3652, -6915? -52*w**3 - 2*w**2 - 73*w What is the p'th term of -5551, -10456, -15361, -20266, -25171, -30076? -4905*p - 646 What is the m'th term of 52482, 52492, 52508, 52530, 52558, 52592, 52632? 3*m**2 + m + 52478 What is the q'th term of 10047, 10048, 10049, 10050, 10051? q + 10046 What is the p'th term of -3757, -3774, -3791, -3808, -3825? -17*p - 3740 What is the b'th term of -1385, -2762, -4139, -5516, -6893? -1377*b - 8 What is the q'th term of 1256, 1631, 2006, 2381, 2756? 375*q + 881 What is the y'th term of -1139, -1533, -1927, -2321, -2715? -394*y - 745 What is the q'th term of -2794, -5658, -8522, -11386, -14250, -17114? -2864*q + 70 What is the u'th term of -1116, -8970, -30310, -71886, -140448, -242746, -385530? -1125*u**3 + 7*u**2 + 2 What is the i'th term of 8827, 8828, 8831, 8836, 8843, 8852? i**2 - 2*i + 8828 What is the u'th term of -59, -437, -1141, -2171? -163*u**2 + 111*u - 7 What is the q'th term of -4882364, -9764728, -14647092, -19529456, -24411820? -4882364*q What is the c'th term of -1150, -753, -342, 89, 546, 1035? c**3 + c**2 + 387*c - 1539 What is the f'th term of -468, -762, -1058, -1356, -1656, -1958, -2262? -f**2 - 291*f - 176 What is the c'th term of -3502, -6855, -9934, -12601, -14718, -16147, -16750, -16389? 23*c**3 - c**2 - 3511*c - 13 What is the j'th term of 23188, 46365, 69542, 92719? 23177*j + 11 What is the k'th term of -7479, -15225, -22971, -30717? -7746*k + 267 What is the f'th term of -1887, -3790, -5693, -7596? -1903*f + 16 What is the r'th term of -6416, -12830, -19244, -25658? -6414*r - 2 What is the u'th term of 112, 90, 60, 22, -24? -4*u**2 - 10*u + 126 What is the u'th term of 33250, 66504, 99758, 133012, 166266? 33254*u - 4 What is the h'th term of -264, -1705, -5620, -13245, -25816? -206*h**3 - h**2 + 4*h - 61 What is the b'th term of -5053, -5016, -4991, -4984
{ "pile_set_name": "DM Mathematics" }
2*o - 0*o for o. -4 Solve 102 = 3*s + 78 for s. 8 Solve 0 = 51*o + 27*o + 78 for o. -1 Solve 9 = -17*a + 8*a for a. -1 Solve -4*u - 3 = -7*u for u. 1 Solve 0 = -3*m + 270 - 258 for m. 4 Solve -2*n - 27 + 25 = 0 for n. -1 Solve 40*r - 8 = 39*r for r. 8 Solve 35 = -8*c + 35 for c. 0 Solve 8*k + k + 9*k = 0 for k. 0 Solve 2 - 34 = -32*b for b. 1 Solve -4 = 25*s - 23*s for s. -2 Solve 25 = -27*c + 32*c for c. 5 Solve 92*s - 8 = 94*s for s. -4 Solve 57 + 21 = -13*x for x. -6 Solve 378 = 19*w + 397 for w. -1 Solve -158*u = -169*u - 33 for u. -3 Solve 325 = -10*p + 435 for p. 11 Solve 3*u = 6 - 15 for u. -3 Solve c - 3*c = 4 for c. -2 Solve 0 = s - 29*s - 56 for s. -2 Solve 260*y - 263*y + 9 = 0 for y. 3 Solve 0 = -4*j - 4*j + 24 for j. 3 Solve -74*p + 69 + 5 = 0 for p. 1 Solve -271*a = -262*a for a. 0 Solve 4*c = 8*c - 16 for c. 4 Solve 23*a + 33 = -105 for a. -6 Solve -9 = -10*j - 39 for j. -3 Solve -42*d + 40*d = 4 for d. -2 Solve -72*p + 6 = -69*p for p. 2 Solve 0 = 15*l + 6*l + 105 for l. -5 Solve 12*c = c + 22 for c. 2 Solve 3*w - 127 = -133 for w. -2 Solve -4*u = u - 10 for u. 2 Solve -6*z + 2*z = -12 for z. 3 Solve -5*t - 47*t = 260 for t. -5 Solve -42 = 5*h - 2 for h. -8 Solve 3*q = 7 + 2 for q. 3 Solve -4 - 2 = 3*p for p. -2 Solve 0 = -48*z + 85*z - 111 for z. 3 Solve -39*y = -24*y + 60 for y. -4 Solve 28 - 4 = 6*p for p. 4 Solve -z = 4*z - 5 for z. 1 Solve -19*r - 11 - 160 = 0 for r. -9 Solve 112 = 33*g + 46 for g. 2 Solve -122*j - 60 = -132*j for j. 6 Solve 10*h = 5*h for h. 0 Solve -5*b = 55 - 20 for b. -7 Solve 0 = z - 2*z - 3 for z. -3 Solve 0 = 210*u - 209*u - 1 for u. 1 Solve 0 = 4*p - 6 + 30 for p. -6 Solve 95*w - 15 = 98*w for w. -5 Solve 0 = h - 0*h + 3 for h. -3 Solve 126*c = 132*c + 18 for c. -3 Solve -54*k + 144 = -18*k for k. 4 Solve -4*b + 5*b = -3 for b. -3 Solve -10 + 7 = -p for p. 3 Solve -28 = 4*v - 16 for v. -3 Solve 6*i = 8 - 26 for i. -3 Solve 5*v - 24 = 13*v for v. -3 Solve -12*i + 23*i + 55 = 0 for i. -5 Solve 7 = 7*s - 14 for s. 3 Solve 42*p - 84 = -42 for p. 1 Solve 16*w - 19*w = 0 for w. 0 Solve -12*k - 57 + 81 = 0 for k. 2 Solve 0 = -7*h + 4 + 24 for h. 4 Solve 6*r + 50 = 14 for r. -6 Solve 114*j - 24 = 120*j for j. -4 Solve 511*r + 6 = 510*r for r. -6 Solve -7 = -6*m + 23 for m. 5 Solve -d = 99 - 101 for d. 2 Solve 8*p + p = 27 for p. 3 Solve -10*k - 3 = -11*k for k. 3 Solve 46 = -32*n - 274 for n. -10 Solve 117 + 432 = -61*f for f. -9 Solve 25 = 3*f + 19 for f. 2 Solve -5*o - 24 = 1 for o. -5 Solve u - 242 + 237 = 0 for u. 5 Solve x + 18 = 16 for x. -2 Solve 209*p - 45 = 218*p for p. -5 Solve -26*c + 11*c = -60 for c. 4 Solve -6*y - 26 = -8 for y. -3 Solve 8*z + 28 = 60 for z. 4 Solve 3*v + 8 - 2 = 0 for v. -2 Solve 728*s - 12 = 724*s for s. 3 Solve 12*f = 18*f for f. 0 Solve -63*d + 54*d + 63 = 0 for d. 7 Solve -53*w + 4 = -54*w for w. -4 Solve 458*r - 452*r + 24 = 0 for r. -4 Solve -5*v = 2 - 17 for v. 3 Solve 0 = 14*l + 136 - 108 for l. -2 Solve 45*c + 4 = 41*c for c. -1 Solve 468*m - 459*m - 45 = 0 for m. 5 Solve -7*i + 9*i + 8 = 0 for i. -4 Solve 112*m = 104*m + 32 for m. 4 Solve 7 - 7 = -28*r for r. 0 Solve -21*r + 17 = -4 for r. 1 Solve -5*f + 2*f + 14*f = 0 for f. 0 Solve 7*g - 14 = -35 for g. -3 Solve -5*p - 4 = 1 for p. -1 Solve 4*c + 26 = 10 for c. -4 Solve -22*p = -25*p - 6 for p. -2 Solve 4*j + j = 25 for j. 5 Solve 4*s + 60 = -8*s for s. -5 Solve 5268*v - 5257*v = 11 for v. 1 Solve -37 = 2*f - 41 for f. 2 Solve -18*l = -10*l + 16 for l. -2 Solve -873 = -120*d + 23*d for d. 9 Solve 38 + 109 = -21*x for x. -7 Solve 138 = -178*a + 1028 for a. 5 Solve -49 + 89 = -8*y for y. -5 Solve -2*o - 3 = -o for o. -3 Solve 0 = -71*s + 59*s - 60 for s. -5 Solve 2*r - 126 = -128 for r. -1 Solve -38 = 14*r - 38 for r. 0 Solve -130 = -8*l - 154 for l. -3 Solve -8*z + 5 = -3 for z. 1 Solve 7*l - 4 + 11 = 0 for l. -1 Solve -32*k - 13 = -141 for k. 4 Solve -92 + 107 = 15*l for l. 1 Solve 0 = -10*u - 48 + 98 for u. 5 Solve 0 = -7*f + f + 24 for f. 4 Solve -5*a + 8 = -12 for a. 4 Solve 5*k = 11*k + 12 for k. -2 Solve 3*p = 5*p - 2 for p. 1 Solve 463 - 383 = -8*h for h. -10 Solve -386 = -7*a - 358 for a. 4 Solve 219 + 21 = -40*y for y. -6 Solve -2*p - 4 = 2 for p. -3 Solve 16*q - 25 - 7 = 0 for q. 2 Solve 114*i - 132*i = -36 for i. 2 Solve 0 = 15*n - 77 + 17 for n. 4 Solve 36 = 10*y - 4 for y. 4 Solve -22 + 22 = -12*c for c. 0 Solve 7*d - 28 = -42 for d. -2 Solve 0 = -10*k - 32 + 22 for k. -1 Solve 0 = b - 4 + 8 for b. -4 Solve -68 = 10*l - 8 for l. -6 Solve -78*b + 108 = -60*b for b. 6 Solve -163 = -26*w - 7 for w. 6 Solve 4*q + 37 = 25 for q. -3 Solve -3*b - 30 = -13*b for b. 3 Solve -6 = -6*z + 12 for z. 3 Solve -17*q + 4*q = -104 for q. 8 Solve 20*t - 28*t = 16 for t. -2 Solve 23*g - g = 44 for g. 2 Solve 1 = 9*a + 10 for a. -1 Solve -2314*j + 20 = -2324*j for j. -2 Solve -2*a + 40 = 38 for a. 1 Solve -5 = -3*x + 10 for x. 5 Solve 104*k - 124*k - 40 = 0 for k. -2 Solve -7*p - 12 = 2 for p. -2 Solve -q - 2*q - 6 = 0 for q. -2 Solve -4 = 5*f - 14 for f. 2 Solve -30*n = -33*n - 12 for n. -4 Solve -1266*j - 24 = -1272*j for j. 4 Solve -14*h + 22*h = -24 for h. -3 Solve 85 = 11*k - 28*k for k. -5 Solve 0 = -10*h + 5*h + 20 for h. 4 Solve -3*a + 10*a + 21 = 0 for a. -3 Solve 0 = 11*v + 40 + 4 for v. -4 Solve 11*k - 18 = -7 for k. 1 Solve 7*f + 20 = -3*f for f. -2 Solve 47*u - 42*u + 15 = 0 for u. -3 Solve -7 = -o - 4 for o. 3 Solve -7*d + 12 = -9 for d. 3 Solve 18*t + 153 + 27 = 0 for t. -10 Solve 0 = 122*c - 115*c + 28 for c. -4 Solve 3*f + 3 + 9 = 0 for f. -4 Solve -h - 12*h = -52 for h. 4 Solve -20 = 14*f - 24*f for f. 2 Solve -417 = 8*n - 361 for n. -7 Solve 37 - 11 = -13*h for h. -2 Solve 10*c + 43 - 3 = 0 for c. -4 Solve -2*k = 7 + 3 for k. -5 Solve -7 = 36*l - 29*l for l. -1 Solve -14*r = 27 - 13 for r. -1 Solve 0 = 19*a - 4 - 53 for a. 3 Solve -261*w + 4 = -260*w for w. 4 Solve -w - 35 = -8*w for w. 5 Solve -402 = 10*y - 322 for y. -8 Solve -147*a = -38*a + 872 for a. -8 Solve 2671*i - 2657*i + 56 = 0 for i. -4 Solve 42 = 4*p + 10*p for p. 3 Solve 10*f = -19*f + 116 for f. 4 Solve 4*i - 24 = -2*i for i. 4 Solve -9 = 4*l - 17 for l. 2 Solve 0 = 26*o - 66 - 64 for o. 5 Solve -14*h - 2 = -2 for h. 0 Solve 7*l + 35 = 70 for l. 5 Solve -16*a - 3 = -17*a for a. 3 Solve y = -y for y. 0 Solve -7*h + 20 = -3*h for h. 5 Solve -34*u = -11*u - 92 for u. 4 Solve 75 = 5*k + 80 for k. -1 Solve 3 = -d - 0 for d. -3 Solve -29*k - 425 = 56*k for k. -5 Solve -30 = 2*c - 28 for c. -1 Solve -8*x = -7 + 7 for x. 0 Solve 4*d - 2 = 6 for d. 2 Solve 10*l - 8 + 8 = 0 for l. 0 Solve 3*z - 2 = 10 for z. 4 Solve -3*h + 20 = 5 for h. 5 Solve 22*x - 72 = 16 for x. 4 Solve -23*x - 45 = -28*x for x. 9 Solve -19*y + 18*y - 2 = 0 for y. -2 Solve 124 - 433 = -103*q for q. 3 Solve 9*q = 4*q + 5 for q. 1 Solve 34*f - 10*f - 120 = 0 for f. 5 Solve 25*p - 34 + 9 = 0 for p. 1 Solve 2*z - 5 + 5 = 0 for z. 0 Solve 0 = -3*y - 4 - 8 for y. -4 Solve 14*z = 12*z for z. 0 Solve 9 = 3*r + 12 for r. -1 Solve 30 + 80 = -22*a for a. -5 Solve -185 + 61 = 31*u for u. -4 Solve -8*m - 218 = -250 for m. 4 Solve -14*c + 5*c = 27 for c. -3 Solve -15*p = 47 - 17 for p. -2 Solve 147 = -11*j - 10*j for j. -7 Solve 48 = 28*h - 36*h for h. -6 Solve 16 + 36 = 13*q for q. 4 Solve -26*p = 33 + 19 for p. -2 Solve -19*c - 36*c - 165 = 0 for c. -3 Solve -3*f - 25 = -10 for f. -5 Solve -611*n = -605*n - 12 for n. 2 Solve 0 = -4*k - k + 5 for k. 1 Solve 0 = 11*d - 7*d - 24 for d. 6 Solve -13*o = o + 13*o for o. 0 Solve 156*x = 151*x - 35 for x. -7 Solve -24*o + 120*o = -384 for o. -4 Solve 241 = 4*p + 225 for p. 4 Solve -15*f + 11*f - 4 = 0 for f. -1 Solve 4221 = 2*i + 4223 for i. -1 Solve -o = -12*o + 99 for o. 9 Solve 12*g - 7*g - 20 = 0 for g. 4 Solve -8 = 13*s - 21*s for s. 1 Solve 3*z = -5*z + 48 for z. 6 Solve 100 = 4*n + 21*n for n. 4 Solve -2*j - 86 = -82 for j. -2 Solve 29*m - 415 = -154 for m. 9 Solve 32*g = 23*g + 9 for g. 1 Solve -1 = -3*t - 1 for t. 0 Solve 14*l = -81 + 25 for l. -4 Solve -26 = 2*z - 32 for z. 3 Solve 20*g = -117 - 23 for g. -7 Solve -11*d + 44 = 11 for d. 3 Solve 249 - 9 = 40*y for y. 6 Solve -68*o + 61*o = 0 for o. 0 Solve -6*r + 12*r = 24 for r. 4 Solve -37*r - 72 = -25*r for r. -6 Solve 14*i = -3*i + 51 for i. 3 Solve 21 = 20*z - 17*z for z. 7 Solv
{ "pile_set_name": "DM Mathematics" }
) = 9*v**2 + 19*v - 11. Let w(k) = 5*k**2 + 10*k - 6. What is g*a(m) - 11*w(m)? -m**2 + 4*m Let r be 32/336 + 2150/(-525). Let t(x) = 2*x**2 + 8*x + 1. Let k(u) = -2*u**2 - 7*u - 1. Determine r*t(l) - 5*k(l). 2*l**2 + 3*l + 1 Let d(u) = 39*u**3 + 2*u**2 + 5. Let n(k) = -79*k**3 - 3*k**2 + k - 13. Calculate -5*d(a) - 2*n(a). -37*a**3 - 4*a**2 - 2*a + 1 Let u(s) = -1177*s - 4 + 0 + 3 + 1181*s. Suppose 3*l + 5*i - 4*i = 15, 5*i = 2*l - 10. Let j(h) = -4*h + 1. What is l*j(a) + 4*u(a)? -4*a + 1 Let b(y) = 92*y**2 + 34*y + 2700. Let f(h) = 19*h**2 + 7*h + 541. Determine 6*b(i) - 29*f(i). i**2 + i + 511 Let f(y) = 6*y**3 - 33*y**2 - 12*y + 85. Let d(t) = -6*t**2 - 2*t - 1. Calculate 6*d(l) - f(l). -6*l**3 - 3*l**2 - 91 Suppose 0 = -2*k - k + 18. Suppose -4*b = -k*b + 10. Let s(h) = -16 + 37 - 25 + b*h - 2*h**2. Let m(a) = 2*a**2 - 4*a + 3. Give -5*m(w) - 4*s(w). -2*w**2 + 1 Let u(f) = -f**2 + 2*f - 2. Let y be u(4). Let j(m) = -m**2 - 44 - 5*m - m - 2*m + 9*m + 89 - 46. Let t(l) = -8*l**2 + 10*l - 12. Calculate y*j(a) + t(a). 2*a**2 - 2 Let i(p) = -6*p - 933. Let z(q) = -q**2 + 7*q + 934. Give 5*i(k) + 4*z(k). -4*k**2 - 2*k - 929 Let r(y) = -y**3 + 450*y**2 - 2*y + 1. Let v(z) = 2*z**3 - 448*z**2 + 3*z. Calculate -3*r(s) - 2*v(s). -s**3 - 454*s**2 - 3 Let d = -16 + 11. Suppose 364*o + 1654 + 894 = 0. Let i(a) = -6*a + 3. Let s(l) = 4*l - 2. What is d*i(n) + o*s(n)? 2*n - 1 Let t(u) = -u. Let c(z) = 1. Let v = 110 - 83. Suppose -w - 2*w - 5*q + 71 = 0, 0 = w + 5*q - v. Suppose -w*h + 17*h = 20. Give h*c(k) - t(k). k - 4 Let f(b) = b + 2. Let l(r) be the third derivative of 0*r - 1/6*r**3 + 1 - 1/24*r**4 - 25*r**2. Give -4*f(u) - 3*l(u). -u - 5 Let u(o) = -26*o - 22*o + 47*o. Let c be 17/((-34)/(-12)) + 1/(-1). Suppose -2*x = -3*i, c*i - 16 = -0*i - 2*x. Let m(r) = -3*r + 1. What is i*u(k) + m(k)? -5*k + 1 Let s(h) be the first derivative of -h**2/2 + h - 3910. Let j(r) = 7*r - 6. Determine 6*j(u) + 39*s(u). 3*u + 3 Let s = -68 - -670. Let d(g) = -600 - s + 1203. Suppose 0 = i - 1 + 2. Let k(c) = c. What is i*k(u) - 2*d(u)? -u - 2 Let f(p) = 87*p**2 + 17. Let g(r) = -29*r**2 - 6. Suppose -99*y = -185*y + 98*y + 48. Determine y*f(h) - 11*g(h). -29*h**2 - 2 Let u(z) = -14*z**3 + 5*z - 11. Suppose 12*y + 47 = 23. Let h be (-1 + y + 25)/(16 + -18). Let v(k) = -5*k**3 + 2*k - 4. Calculate h*v(d) + 4*u(d). -d**3 - 2*d Let f(d) = 98*d**3 - 5*d**2 + 59*d - 5. Let t(j) = 47*j**3 - 3*j**2 + 32*j - 3. Calculate -3*f(p) + 5*t(p). -59*p**3 - 17*p Let p(h) = -1147*h - 13. Let o(d) = 578*d + 8. What is 5*o(k) + 3*p(k)? -551*k + 1 Let w(b) = -527*b**2 - 2*b - 3. Let n(a) = -2*a**2 + 3. Determine 2*n(y) + w(y). -531*y**2 - 2*y + 3 Let l(b) = 2*b + 3*b + 6 + 4*b - 8*b. Let g be l(-5). Let y(u) = u**2 - u. Let v(n) = -3*n**2 - 4*n - 18 + 18 + 4*n**2. Give g*v(a) - 3*y(a). -2*a**2 - a Let t(q) = 1501*q - 1. Let z(g) = 1470*g - 1. What is -7*t(c) + 6*z(c)? -1687*c + 1 Let l(d) = 4*d**2 - 8*d + 279. Let u(i) = -i**2 + 4*i - 1. Calculate -l(q) - 2*u(q). -2*q**2 - 277 Let b(f) = 10*f**2 + 35*f + 3304. Let y(h) = 5*h**2 + 21*h + 1651. What is 3*b(u) - 5*y(u)? 5*u**2 + 1657 Suppose 49 = -4*m + 5*t, 0 + 10 = 2*t. Let v(i) be the third derivative of 5*i**4/8 + 2*i**3/3 + 2*i**2 + 56*i. Let q(h) = 8*h + 2. Calculate m*v(c) + 11*q(c). -2*c - 2 Let c(r) = r**3 + r**2 - 6*r - 1. Let l(i) = 3*i**3 + 6*i**2 - 36*i + 283. Give -6*c(b) + l(b). -3*b**3 + 289 Suppose 5*v + 5*z - 95 = 0, z = 2*v + 6*z - 32. Let t(b) = -12 - 5 - 6 + v + 3*b. Let j(n) = n - 1. Give -4*j(c) + t(c). -c + 2 Let j(q) = -60*q + 831. Let l be j(14). Let o(r) = -r**3 - 4*r**2 - 7. Let w(k) = 5 - 4*k - 20 - 2*k**3 + 4*k - 9*k**2. Calculate l*o(s) + 4*w(s). s**3 + 3 Let z(l) = 25*l. Let w(n) = -n + 2*n + 0*n. Suppose -60*y = -35*y + 20*y + 42*y + 1740. What is y*w(r) + z(r)? 5*r Let x = 27 - 23. Let n(j) = -15*j - 3 - 2 + 14*j + 5 - 2. Let s(u) = -5*u + 4. Let r(k) = -2*k + 2. Let d(y) = -7*r(y) + 3*s(y). Determine x*d(h) - 3*n(h). -h - 2 Let o(t) = 384*t - 62. Let a(k) = -480*k + 77. Give 9*a(s) + 11*o(s). -96*s + 11 Let f(g) = 3*g**3 - 4*g**2 + 4*g + 2. Suppose 5*y + 5*v = 30, 2 = -22*y + 24*y - 3*v. Let r(b) = b**2 - b. Calculate y*r(h) + f(h). 3*h**3 + 2 Let z(u) = -2*u**3 - 637. Let n(t) = 5*t**3 + 1274. What is 3*n(j) + 7*z(j)? j**3 - 637 Let u(b) = -b. Let a(i) = -1 - 4 - 2*i + 9 - 6. Let s = -32 + 17. Let x = 19 + s. What is x*u(t) - a(t)? -2*t + 2 Let r(z) = z**3 - z + 1. Let s(a) be the first derivative of -15*a**4/4 + a**2 - 2*a + 310. Calculate 4*r(y) + 2*s(y). -26*y**3 Let x(s) = -3*s**2 - 6*s + 242. Let a(n) = -8*n**2 - 17*n + 724. Give 6*a(c) - 17*x(c). 3*c**2 + 230 Let g(m) = 9*m**3 - 11*m**2 + 5. Let u(d) = -5*d**3 + 6*d**2 - 3. Let x be -2 - (1 + 2*4). Let z be 3 - ((-3)/4)/(118/(-1416)). What is x*u(l) + z*g(l)? l**3 + 3 Let w(m) = 45*m - 5. Let v(k) = 9*k - 1. Let y(s) = 30*s - 11. Let t = 248 - 248. Let g be y(t). Calculate g*v(q) + 2*w(q). -9*q + 1 Let i(n) = 15*n**2 - 17*n + 8. Let k(a) = 10*a**2 - 11*a + 5. Suppose 0 = -4*t + 5*x + 33 - 13, -2*t = -2*x - 10. Give t*i(j) - 8*k(j). -5*j**2 + 3*j Let g(y) = y + 1. Suppose 2*f + 4*d = -12 - 8, -2*f + 2*d = -4. Let q be 12/6 - (7 + f). Let c(b) = 1. What is q*c(p) + g(p)? p - 2 Let n(z) = z - 1. Let y(u) = 4*u**2 - 7*u + 2. Let x(c) = 11*c**2 - 20*c + 7. Let q(p) = -3*x(p) + 8*y(p). Determine -9*n(d) + 2*q(d). -2*d**2 - d - 1 Let f(s) = -12*s**2 - 8*s + 4. Suppose -70 = 8*n + 34. Let w(m) = -m**2 + 3*m + 202. Let z be w(n). Let a(x) = 23*x**2 + 15*x - 7. Determine z*a(g) - 11*f(g). -6*g**2 - 2*g - 2 Let m(d) = 9*d - 1. Let z(k) = -15*k**2 + 17*k - 1. Give 2*m(v) - z(v). 15*v**2 + v - 1 Let h(u) = 29*u - 5. Let o(p) be the second derivative of 19*p**3/6 - 3*p**2/2 + p + 1104. Determine -5*h(w) + 8*o(w). 7*w + 1 Let n(g) = -2*g**2 - 111*g + 3. Let w(i) = 2*i**2 - i - 1. What is n(v) + 2*w(v)? 2*v**2 - 113*v + 1 Let c(n) = 5401*n**2 + 65*n. Let f(t) = 40508*t**2 + 494*t. Calculate 38*c(g) - 5*f(g). 2698*g**2 Let k(h) = 4*h**3 - 16*h**2 - 91*h + 10. Let g(l) = 4*l**3 - 20*l**2 - 90*l + 12. Calculate 4*g(c) - 5*k(c). -4*c**3 + 95*c - 2 Let h(b) = -2*b - 7. Let d(l) be the second derivative of l**3/6 + 2*l**2 + 4*l - 799. Give 5*d(u) + 3*h(u). -u - 1 Let o(y) = 7*y. Let u = -1776 - -7004. Let m(l) = 5228 - 112*l - u. Determine 3*m(n) + 49*o(n). 7*n Let u(o) = -26*o**3 + 18*o**2 + 8*o - 4. Let i(a) = 26*a**3 - 19*a**2 - 10*a + 5. Give 4*i(z) + 5*u(z). -26*z**3 + 14*z**2 Let x(c) = -9*c**2 + 3*c + 23. Let s(y) = 4*y**2 + 7*y + 306. Let j(g) = g**2 + 3*g + 124. Let n(d) = -5*j(d) + 2*s(d). What is 17*n(w) + 6*x(w)? -3*w**2 + w + 2 Suppose 0 = 4*r + 2*r - 12. Suppose -11*k + 4144 = 4045. Let w(h) = 36*h**2 + 9*h + 9. Let g(c) = -9*c**2 - 2*c - 2. Determine k*g(n) + r*w(n). -9*n**2 Let j be 4/(-18) - (-1329)/27. Let k(z) = 26*z - j*z - 3 + 3. Let x(f) be the second derivative of 2*f**3/3 + 6*f - 10. Determine -4*k(w) - 22*x(w). 4*w Let u(g) = -39*g**3 - 26*g**2 + g + 4. Let n(h) = 9*h**3 + h**2 - 1. What is 4*n(y) + u(y)? -3*y**3 - 22*y**2 + y Let q(l) = -7*l**2 - 7*l - 31. Let b(y) = 12*y**2 + 13*y + 49. Let i(w) = -3*b(w) - 5*q(w). Let u(z) = -2*z**2 - 11*z + 23. What is 8*i(v) - 3*u(v)? -2*v**2 + v - 5 Suppose -5*f = 3*x + 19, -f = -x - 0 + 7. Let u be (3 - 2 - f) + -2. Let s(l) = -542*l + 271*l + 1 + 277*l. Let n(o) = o + 1. What is u*n(g) - s(g)? -2*g + 3 Let s(i) = -17 - 32*i + 19 + 35*i. Let h(u) = -16*u - 10. Suppose 3*r - r - 5*g - 10 = 0, -44 = -4*r - 2*g. Let q be (22/4)/((-5)/r). What is q*s(b) - 2*h(b)? -b - 2 Let d(v) = v + 1. Let c(a) = -a**3 + 4*a**2 - 3*a + 5. Let p be c(3). Let k(w) = 4 + 4*w - p + 7. Let u(s) = 6*s. Let n be u(-1). Calculate n*d(m) + k(m). -2*m Let j(b) = 3*b**3 + b**2 - 6*b + 12. Let k(f) = 2*f**3 + f**2 - 2*f + 7. Calculate -4*j(q) + 7*k(q). 2*q**3 + 3*q**2 + 10*q + 1 Let r be (24/(-192))/((-4)/32). Let w(n) = n**2 - n. Suppose 2*l + 20 = -2*l. Let t(i) = 6*i**2 - 6*i. Calculate l*w(j) + r*t(j). j**2 - j Let c(p) = 1612001*p**3. Let r(j) = 3167*j**3. Determine 3*c(w) - 1526*r(w). 3161*w**3 Let y(o) = 29808*o - 7452*o - 7450*o - 7453*o + 17 - 7455*o. Let j(c) = -5*c + 35. Calculate -4*j(k) + 9*y(k). 2*k + 13 Let p(d) = d + 1. Let k(y) = -3*y + 6. What is 3*k(v) - 3*p(v)? -12*v + 15 Let b(g) = -9*g**3 - 20*g**2 - 9*g -
{ "pile_set_name": "DM Mathematics" }
2/10. Let j be (1 + 1 - 5)*(-6)/g. Sort -3, v, j in descending order. j, -3, v Let l = 484 + -483. Sort -14, l, -3, 0 in descending order. l, 0, -3, -14 Let m(f) = 7*f - 6*f - 8*f + f**2 - 6*f + 19. Let b be m(13). Let p = b - 23. Put 6/5, p, 2 in descending order. 2, 6/5, p Let a = -4.3 - -5. Let k = 0.4 - a. Let c be ((-45)/(-25))/(-3)*1. Sort k, 0.3, c in descending order. 0.3, k, c Let g = -9 - -16. Let o = 0.319 - 0.049. Let a = o - 0.37. Put a, g, -1 in descending order. g, a, -1 Let q = 78 - 54. Let b = q + -30. Let c(t) = t**2 + 7*t - 5. Let k be c(-7). Sort b, 2, k. b, k, 2 Let q(h) = 4*h**2 + 6*h - 7. Let r be q(1). Suppose 7*w - r = 25. Put -20, w, 2 in descending order. w, 2, -20 Let s be ((-8055)/25 + -4)*1. Let y = 325 + s. Put -0.5, 0.2, y in descending order. 0.2, -0.5, y Let l = -5.0581 + 0.0581. Sort 2, -7, l, -1 in ascending order. -7, l, -1, 2 Suppose 216 + 108 = -6*x. Let q = 59 + x. Sort 2, 4, 3, q in descending order. q, 4, 3, 2 Suppose -2*l = -c - 46 + 32, 3*c - 3*l + 24 = 0. Let v be (-1)/(1/(-10)) + -2. Put v, 1, c in decreasing order. v, 1, c Let x be -1*2 + (-330)/(-150). Sort x, -2/7, -74 in descending order. x, -2/7, -74 Let y = -27 - -23.7. Let i = y - -5.9. Let v = 2.4 + i. Put 0.4, v, 1 in descending order. v, 1, 0.4 Let o = -26 - -46. Let i = o - 33. Let u = 258 - 254. Sort -4, u, i. i, -4, u Let t = 998 - 1003. Let m = 3 + -4. Put t, m, 1, 2 in decreasing order. 2, 1, m, t Let g(u) = -u**2 + 21*u + 55. Let i be g(23). Put -2, -3, i, 3 in descending order. i, 3, -2, -3 Let t = 3 - 7. Let k = -37 - -39. Suppose -k*z + 3 = 7. Put z, t, 9 in increasing order. t, z, 9 Suppose g + 0 + 1 = 0. Let k = 74 + -50. Let x be k/(-15) - (-2 - 12/(-5)). Put g, x, 1 in ascending order. x, g, 1 Let n = -587 + 570. Sort 6, -4, n, -3 in ascending order. n, -4, -3, 6 Let u be ((-2)/(-6))/(1/(-3)). Suppose -4*f + 3 - 23 = 0. Put u, -4, 4, f in decreasing order. 4, u, -4, f Let g be 2 + (3 - -1) + 1. Suppose -8*i - 9 = g. Put i, 12, -3 in descending order. 12, i, -3 Let v(b) = -2*b**3 - 15*b**2 + 4*b + 136. Let s be v(-6). Let z = 1.1 - 1. Put z, 2/5, 1/5, s in decreasing order. s, 2/5, 1/5, z Suppose -23*z + 171 = -32*z. Sort -5, 4, z. z, -5, 4 Let m(i) = -i**2 - 18*i - 40. Let t be m(-15). Sort 0, 8, t, -5 in descending order. 8, t, 0, -5 Let s = 168 - 171. Put s, -1/9, 0.39, -4 in descending order. 0.39, -1/9, s, -4 Let h = 0.3 - 0.4. Let w = 141 + -142. Sort 1/2, h, w in increasing order. w, h, 1/2 Let q be (2/(-1))/(2/(-3)). Suppose 19 = 6*x + 229. Let c be (42/x)/(3/10). Sort -5, q, c in decreasing order. q, c, -5 Let t = 15 + -10. Suppose -2*z = 2*o - 10, 8 = -t*o - 3*z + 27. Suppose 0 = 5*q + 17 - o. Sort -5, -2, q. -5, q, -2 Let o = -264 + 269. Sort 3, -17, -1, o in increasing order. -17, -1, 3, o Let r(h) = -2*h**3 + h**2 - 7*h + 6. Let j(i) = -3*i - 22. Let x be j(-9). Let y be r(x). Let g = y + 1784/7. Put g, 0.5, 5 in decreasing order. 5, g, 0.5 Let y be 1/(1 + (-12)/16). Suppose -6 = x - y*x. Let q be 28/(-12)*x/7. Sort 3, -5, q in decreasing order. 3, q, -5 Let w = -19 - -34.2. Let d = -0.019 - -15.019. Let h = w - d. Sort -0.2, 0.1, h in ascending order. -0.2, 0.1, h Let g be (-24)/(-42) + (-60)/35*-3. Put g, 1, 1/4 in decreasing order. g, 1, 1/4 Let i = 0 + -1. Let m be (0 - 1/2)/((-1)/4). Let q = 3 + m. Sort i, q, -6 in decreasing order. q, i, -6 Let n be ((-8)/(-12))/(8/(-12))*-5. Suppose 0 = -5*m + 9 + 6. Put n, -2, m in decreasing order. n, m, -2 Let r = -10 + 11.8. Let p = 1.8 - r. Put 5, p, -0.04 in descending order. 5, p, -0.04 Let o(g) = 0 + 12 - 5*g - 7. Let i be o(2). Let v = -10 - -15. Put -2, i, v in descending order. v, -2, i Suppose 49 = p + 2*z, 5*p - z - 2*z = 180. Sort 2, -2, p, 3. -2, 2, 3, p Suppose 4 = -2*t + 6*t. Let s = t + -3. Let d = 0.5 + -0.3. Sort s, d, -0.3 in increasing order. s, -0.3, d Let o be (-84)/56*4/(-3). Sort -2, 5, o, -3 in increasing order. -3, -2, o, 5 Suppose 136 = 2*y + 4*h, 0*y + 2*y - 5*h - 100 = 0. Let a be 8/y - (-58)/15. Sort -3, 2, a in descending order. a, 2, -3 Let u = 17.75 - 18.3. Sort -0.5, u, 0, -4 in ascending order. -4, u, -0.5, 0 Let g = 977 - 982. Sort 3/5, g, -0.02, -0.2 in increasing order. g, -0.2, -0.02, 3/5 Let u be (-351)/51 - -2 - (-16)/(-136). Put u, -3, -8 in decreasing order. -3, u, -8 Let b(i) = -2*i**3 + 4*i**2 - 4*i + 11. Let r be b(2). Put -5, 0, 2, r in ascending order. -5, 0, 2, r Suppose -5*j = -10*j + 7*j. Sort 2, 3, 14, j in decreasing order. 14, 3, 2, j Let l = 1 + -1. Suppose 72 = 19*z + 15. Put l, -3, z, -5 in descending order. z, l, -3, -5 Suppose 2*j + 3*c = -10, 3*j + 2*c = 5*c. Put -6, 2, -5, j in descending order. 2, j, -5, -6 Let x = -8 - 59. Let p = x - -53. Sort -4, 2, -1, p in decreasing order. 2, -1, -4, p Let w be 1*-1*3 - (-273)/78. Put -2/13, w, -18 in descending order. w, -2/13, -18 Let c(n) = -n + 36. Let k be c(0). Let t = k - 27. Suppose -3*r + 4*r = 2*b - t, 5*b - 18 = r. Sort r, 1, 4 in descending order. 4, 1, r Let m be (-56)/28 - (-9)/(-3). Put 0.5, m, 0.67 in descending order. 0.67, 0.5, m Let l = 6 + -9. Let s = -80.66 - -80. Let t = s + 0.16. Put t, -5, l in ascending order. -5, l, t Let c = 8 + -6.96. Let i = -0.54 + c. Sort 1, -0.1, i, -3 in ascending order. -3, -0.1, i, 1 Let j(x) = -x + 1. Let z be j(-1). Suppose 3*l + z - 5 = 0. Let g be (-6)/(-2) - 2 - l. Sort 4, 3, g. g, 3, 4 Let p = 4.63 + -5.13. Put -1/9, -3/10, p in ascending order. p, -3/10, -1/9 Let p(o) = 6*o**2 + 47*o - 10. Let d be p(-8). Sort -537, 0, d, 5 in ascending order. -537, d, 0, 5 Let n = 7.08 + -0.08. Let t = -15.5 + n. Let p = -9 - t. Put p, 2, -0.3 in decreasing order. 2, -0.3, p Let z be (2/4)/(4/22838). Let k = z - 2882. Let n = -27 - k. Sort n, -4, 4/3 in descending order. 4/3, n, -4 Let y = 2 - -3. Let a be ((-2)/(-3))/(6/45). Suppose 6*k = k - a. Put k, -8, y in descending order. y, k, -8 Let r = 140 - 35. Let s be ((-4)/5)/(14/r). Let p = s - -9. Sort 4, -5, p in descending order. 4, p, -5 Let t = 0 + 10. Let l = -10.07 + t. Let y = 0.23 - l. Sort 0.1, y, 3 in decreasing order. 3, y, 0.1 Let w(q) = 7*q**2 - 2*q + 1. Let m be w(1). Let o be (-19)/(-7) + m/21. Let l be (-1 - -3)*-1 + 1. Sort o, l, 4 in increasing order. l, o, 4 Let h be 2 + (-56)/80*2. Sort h, 7, -4, 0.2. -4, 0.2, h, 7 Let c(g) = -3*g - 16. Let x be c(-7). Suppose s = x*s. Sort 3, 2, s in decreasing order. 3, 2, s Let q = -95 - -108. Suppose -t + c - 6*c + 17 = 0, 59 = 5*t - c. Let h = t - q. Put 4, 1, h in descending order. 4, 1, h Let c(n) = 9*n - 41. Let l be c(5). Let b be (2 - 0)/(3*(-12)/234). Sort b, -1, l, -3. b, -3, -1, l Suppose 33*n - 34*n = -14. Suppose n*x = 7*x. Let y = -11 - -7. Sort y, x, -1 in decreasing order. x, -1, y Suppose -2*r - 25 = 5*f, -150*f - 25 = -4*r - 145*f. Sort -1, 13, r, 7 in increasing order. -1, r, 7, 13 Suppose -9*o - 128 + 38 = 0. Suppose 2*z - z + 5*a = -1, 3*a = -z + 5. Let m be 66/(-110) + z/o. Put -18, m, -3 in ascending order. -18, -3, m Let o be ((-9 - -7)/2 - 4) + 2. Let g = -0.06 - -0.46. Sort g, o, 1/6 in descending order. g, 1/6, o Let d = 9/2 - 6. Let j = -0.613 + 0.313. Sort d, j, 2/31 in ascending order. d, j, 2/31 Let d(r) = 6*r - 4. Let s(q) = q. Let l(z) = -d(z) + 2*s(z). Let t be l(2). Let f = 0 - -2. Sort -2, t, f in increasing order. t, -2, f Let s = -7.786 - -0.086. Let z = s + 8. Let q = -4.9 - -5. Sort q, 4, z. q, z, 4 Let s be (-4)/(0 + 0 + 2). Let i be (25/(-5) - -6)*s. Sort 0, i, -1, 6 in descending order. 6, 0, -1, i Let p = -2/25 - -12/25. Suppose -4*u = 2*u - 1284. Let w = -2780/13 + u. Sort p, w, 4. w, p, 4 Suppose 5*j + 124*f = 127*f + 12, -4*f - 8 = -4*j. Sort j, 2, 4, 0 in increasing order. 0, 2, j, 4 Let w(k) = 4*k - 45. Let o be w(15). Let a be (o - 10)*2/55. Put -2, a, -0.5 in increasing order. -2, -0.5, a Let o = 67/18 + -56/9. Let c = 3 - 3. Let f = 4 + c. Sort -4, o, f. -4, o, f Let b be (-4)/6*(-3 - 135/(-18)). Sort 5, b, 19 in descending order. 19, 5, b Suppose 0 = j + 2, -2*j + 18 = -4*d - 7*j. Suppose 11*a + 72 = 5*a. Let k be 4/a*(-4 + 1). Put k, -6, d in decreasing order. k, d, -6 Let x = -207/422 - 2/211. Let q be 35/28 + (-21)/(-12) + -2. Sort x, -5, q, 0.4 in increasing order. -5, x, 0.4, q Let m(l) = -6*l**2 + 36*l + 1. Let t be m(6). Put t, -1, -3, 7 in decreasing order. 7
{ "pile_set_name": "DM Mathematics" }
sqrt(833)))**2). -11191 - 1680*sqrt(17) Simplify 1 + -2 + -6*(5 + sqrt(384)/(sqrt(8) + (sqrt(144)/sqrt(3))/sqrt(6) + sqrt(8) - sqrt(8))) + 1. -30 - 12*sqrt(3) Simplify ((0 + (-1 + sqrt(288)*-2*-1 - (-3 + 0 + sqrt(288) + -1)))*5 + 4)**2. 2280*sqrt(2) + 7561 Simplify (-3*1*sqrt(3888)*2*-2)**2 - (1 + (-4*(sqrt(3888) + -1 + sqrt(3888)) + sqrt(3888) - (sqrt(3888) + 0)*4)**2). 3168*sqrt(3) + 89407 Simplify ((sqrt(110)/(sqrt(10)/sqrt(2)))/(sqrt(2) + -6*sqrt(18) + sqrt(2) - sqrt(2)) - (((sqrt(22) + sqrt(550))*1)/sqrt(2) + 4))**2. 824*sqrt(11)/17 + 121323/289 Simplify (-2 + sqrt(567) + -5 + 0 + 0 - (0 + 5*(5 + (1 + sqrt(567) - sqrt(567)))))**2. -666*sqrt(7) + 1936 Simplify (((0 + sqrt(272)*1 - (sqrt(272)*-2 + 0) - -5*(0 + sqrt(272))*1) + 5)*2)**2. 1280*sqrt(17) + 69732 Simplify ((sqrt(2299) + 2*(sqrt(2299) - (2 + sqrt(2299))) + sqrt(2299) - (3 + sqrt(2299) + 0))*-5 + -1 + 4)**2 + -1. -4180*sqrt(19) + 58918 Simplify 4 + (3*(sqrt(544) - sqrt(544)*-1))/((1*sqrt(1936))/sqrt(8)) + 4. 8 + 24*sqrt(17)/11 Simplify 3 + (1*(sqrt(1216) + 5 - sqrt(1216))*2 - (5 + sqrt(1216)*-5)*-5)**2. -14000*sqrt(19) + 761228 Simplify (5*(-2 + sqrt(192)*3 - (sqrt(192) + ((sqrt(192) - (sqrt(192) + 2)) + sqrt(192))*-2 + sqrt(192)))*-3)**2*-1. -396900 + 64800*sqrt(3) Simplify (sqrt(24) - (sqrt(1944)*-2 + sqrt(1944)))/(sqrt(3) - -2*(sqrt(3) - (sqrt(48) - sqrt(3)))) + -3 + 5. -20*sqrt(2)/3 + 2 Simplify (5*(sqrt(35)/sqrt(5) + -4 - (sqrt(343) + -2) - -2*(sqrt(7) + (sqrt(7) + sqrt(7) + (sqrt(7) - 3*sqrt(7)))*-1 + sqrt(7) - sqrt(7)))*-1)**2. 400*sqrt(7) + 2900 Simplify (((2*sqrt(1600))/(sqrt(2) - (-2*sqrt(6))/sqrt(3)))/(1*sqrt(484) - (sqrt(168)/sqrt(7))/sqrt(6)))**2 + 2. 26/9 Simplify -2*(((sqrt(2057) + -1 + -1 - (5 + -1*sqrt(2057) + sqrt(2057))) + 2)**2 + 4). -4172 + 220*sqrt(17) Simplify ((-1*sqrt(152)*-2)/((sqrt(32) + sqrt(8))*-4) + 2*(0 + -2 + sqrt(684) + 1))**2. -142*sqrt(19)/3 + 95923/36 Simplify -4*2*(2*sqrt(21)/sqrt(3) - (-3*sqrt(63) + sqrt(7))) + 3. -80*sqrt(7) + 3 Simplify sqrt(13) + (sqrt(65)/sqrt(5) + 4)**2 - (sqrt(13) + 4 + 0) - (sqrt(26)/(sqrt(4)/sqrt(8))*-2)**2. -183 + 8*sqrt(13) Simplify (sqrt(816) + sqrt(816) + sqrt(816)*-1*-3 + 1*sqrt(816)*1)/((5*sqrt(120)/sqrt(5))/sqrt(8)*-5). -24*sqrt(17)/25 Simplify (-4*-2*sqrt(120)/sqrt(100))/(1*sqrt(80)/(sqrt(392) + -3*sqrt(392))). -112*sqrt(3)/5 Simplify (4*(sqrt(99)*2 + sqrt(99) - sqrt(99))*-6)/(((sqrt(432) + sqrt(27))*6)/sqrt(3)). -8*sqrt(11)/5 Simplify (-1 + sqrt(343)*-1 + sqrt(343) - sqrt(343))**2*6 + (1*(sqrt(84) - (sqrt(84) + -1*sqrt(84))))/(-1*sqrt(12)*2). 167*sqrt(7)/2 + 2064 Simplify -6*(3 + (sqrt(700) + (sqrt(700) - (3*sqrt(700) + sqrt(700))) + 4 + (sqrt(700) + 0 + sqrt(700))*4 + sqrt(700) + 2)**2*2). -412050 - 10080*sqrt(7) Simplify -2 + ((2*sqrt(2299)*-6 - sqrt(2299)) + -2 + sqrt(2299)*-1 + -5*(-4 + sqrt(2299) + 2) + -1)**2. -2926*sqrt(19) + 829986 Simplify sqrt(1573)*1*-5 + -6*(sqrt(1573) + -1) + -2 + (sqrt(1573) + 0)**2 + 1. -121*sqrt(13) + 1578 Simplify (sqrt(3024) - -5*(sqrt(3024)*4 + sqrt(3024)) - sqrt(3024))/((3*sqrt(504))/sqrt(8)). 100*sqrt(3)/3 Simplify (5*-1*-1*(-1 + sqrt(75)) + 2*(-4 + (sqrt(75) + 2 + sqrt(75) + sqrt(75) - sqrt(75)) + 3))**2. -270*sqrt(3) + 6084 Simplify (-4 + (2*(-1*((sqrt(132) - (sqrt(132) + sqrt(132)*-1 + sqrt(132))) + sqrt(132)) + sqrt(132)))/(sqrt(30)/(2*sqrt(10)*-4)))*-3. 12 Simplify (4 + (-4 + -5*(sqrt(2299) - ((0 + sqrt(2299) - sqrt(2299)) + sqrt(2299) + -4 + sqrt(2299))))*4)*-4. -880*sqrt(19) + 368 Simplify (-2*-3*(5*(sqrt(300) + 2*sqrt(300)) + 5*(sqrt(300) + -1 - sqrt(300)))**2 + 2)*3. -27000*sqrt(3) + 1215456 Simplify -1 + (((sqrt(441)*-2 - sqrt(441)) + sqrt(441))*1)/(-2*sqrt(28) - (sqrt(168)/sqrt(3))/sqrt(8))*-3 + -3. -18*sqrt(7)/5 - 4 Simplify (((sqrt(297) + ((sqrt(297) - 2*sqrt(297)) + sqrt(297) + sqrt(297) - sqrt(297))*5 + sqrt(297))*-6)/((-1*sqrt(99)*1)/(-1*sqrt(1089))))**2. 470448 Simplify (sqrt(27)*-1 + -4 + 0)**2 + ((sqrt(210) - (sqrt(210) - sqrt(210)*1))/sqrt(7))/(sqrt(10) - -2*sqrt(10)*2). 121*sqrt(3)/5 + 43 Simplify -4*(-5 + 3 + 5*(5*sqrt(192)*-1*5 + 5)**2). -2400492 + 40000*sqrt(3) Simplify -3*(2 + (sqrt(405) - (sqrt(405) + -1 + sqrt(405))**2))*1 + (sqrt(405) + -2 + sqrt(405) + 3 - (sqrt(405)*1*3 - sqrt(405))**2). -117*sqrt(5) + 3238 Simplify (((-4*(sqrt(300) + -2*sqrt(300)))/(2*sqrt(810)))/(6*(sqrt(10) - sqrt(30)/sqrt(3)*6 - sqrt(40)*-2)))**2. 1/243 Simplify (1*((sqrt(200)*1*-4 - (sqrt(200) + -1 + -5)) + (sqrt(800) - -2*sqrt(800))*4)*4)**2. 36480*sqrt(2) + 1155776 Simplify -6*((-4*(4*(sqrt(76) + sqrt(76)*-1 + sqrt(76)) + (-1*-2*sqrt(76) - sqrt(76))))/((-5*sqrt(192)/sqrt(4))/(sqrt(1200)*2)))**2. -729600 Simplify ((sqrt(204)*2 + sqrt(204) + sqrt(204))/(sqrt(21)/(sqrt(42)/sqrt(6))) - (6*sqrt(204)*-1)/(-3*sqrt(60)/sqrt(5))) + -4. -4 + 6*sqrt(17) Simplify (6*(-1 + sqrt(1584)))**2*1 + (-1*(-3*sqrt(1584) + 0 - sqrt(1584)))**2. -864*sqrt(11) + 82404 Simplify (1 + (3 + sqrt(80))*4 + sqrt(5)*5*-5*6)*-4. -52 + 536*sqrt(5) Simplify (1*(-4*(sqrt(156) - (sqrt(156) - (sqrt(156)*2 - sqrt(156) - sqrt(156))))*-5)/((sqrt(900)*-1)/sqrt(3))*-1)**2*-3. 0 Simplify (6*(sqrt(40) + sqrt(80)/sqrt(2)) - sqrt(40))/(sqrt(288) - -2*sqrt(288) - sqrt(8)) - (3 + 1 + sqrt(405)*1 + sqrt(405) + 0 + sqrt(405) + -5)**2. -3646 + 929*sqrt(5)/17 Simplify (-4*(sqrt(693) + -2*sqrt(693))/sqrt(11)*-3)/(sqrt(54)/(sqrt(18)/(sqrt(3) + (sqrt(15)/sqrt(5) - sqrt(3)) + sqrt(3) + sqrt(3) - sqrt(3)))*3). -2*sqrt(7) Simplify 5 + ((sqrt(832) + sqrt(832)*2 + -1)**2 + ((sqrt(832) - (sqrt(832) - (sqrt(832) + 1)**2) - sqrt(832)) + sqrt(832))*1)*-5*4. -166435 + 640*sqrt(13) Simplify -5*(-2 + 6*(sqrt(112) - (2 + sqrt(112) + -2 - sqrt(112))) + -3*((sqrt(112) + 0)*-5 - (sqrt(112) + ((sqrt(112) - (sqrt(112) + 1)) + sqrt(112))*-6)))**2. -21440 - 3840*sqrt(7) Simplify (-2 + -1*(sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 2)*6)) + -6*-2*sqrt(2448) + (sqrt(2448) + (sqrt(2448) + -1 - sqrt(2448)))*-5 + sqrt(2448))**2. 4320*sqrt(17) + 352737 Simplify (((sqrt(3159) - (sqrt(3159) - sqrt(3159)*5))*-4)/(sqrt(30)/sqrt(250) - (sqrt(3) + sqrt(48) + (sqrt(48)*-2 - sqrt(48))))*-3)**2. 73125 Simplify ((sqrt(108) + 3*sqrt(108)*2)**2 - (sqrt(243) - ((sqrt(243) + 1)**2 + 1))) + (sqrt(162)/(-2*sqrt(9)))/(sqrt(6) - sqrt(66)/sqrt(99)). 33*sqrt(3)/4 + 5537 Simplify ((4 + 1 + sqrt(720) + 5)*2)**2 - ((2 + (sqrt(720)*-1 - sqrt(720)) + -1)**2 + -2). 401 + 1008*sqrt(5) Simplify -5 + ((1*(sqrt(19) + 1) + sqrt(19))*-6)**2 - (((sqrt(228) + 1*sqrt(228) - sqrt(228))*-4 - sqrt(228))/(1*sqrt(12)*-2))**2. 144*sqrt(19) + 10593/4 Simplify (((sqrt(180) - (4 + sqrt(180))*6) + 5*sqrt(180) + 4 + sqrt(180) + 4)*2)**2. -768*sqrt(5) + 1744 Simplify (-3 + 4 + -1 + sqrt(1700) + -1 + 4*(sqrt(1700) - ((sqrt(1700)*-2 - sqrt(1700)) + sqrt(1700))))**2 + -2 + -5 + 1. -260*sqrt(17) + 287295 Simplify (-1*(-4 + 5*(sqrt(1300) + -1*sqrt(1300)) + (1 + (1 + sqrt(1300) - sqrt(1300)) + sqrt(1300))*3))**2. 120*sqrt(13) + 11704 Simplify (4*(sqrt(65) + (-6*sqrt(65) - sqrt(65)))*-2)/(3*5*sqrt(45)). 16*sqrt(13)/15 Simplify (-3*sqrt(6655) - (sqrt(6655)*1 + sqrt(6655) + sqrt(6655)))/(4*sqrt(35)/((-2*sqrt(63))/sqrt(9))). 33*sqrt(11) Simplify (-1*(2 + sqrt(1088) + 5 + sqrt(1088))*-3 + 1 + -4*sqrt(1088)*1 + sqrt(1088) + 1 + sqrt(1088) + (sqrt(1088)*-2 - sqrt(1088)) + sqrt(1088))**2. 736*sqrt(17) + 4881 Simplify ((0 + 2 + (6*sqrt(4860))/(sqrt(12)*-4))*-4)**2. -864*sqrt(5) + 14644 Simplify 3*(1 + sqrt(192) + 0 + -2) + (2*1*sqrt(192)*-2*-2)**2. 24*sqrt(3) + 12285 Simplify ((4*sqrt(175) + sqrt(175))*-2 + -1 + (sqrt(4200) + (sqrt(4200) - -2*sqrt(4200)))/(2*sqrt(96)))**2. 90*sqrt(7) + 14176 Simplify -4*((sqrt(405)*-2*4)**2 - ((-1 + sqrt(405))*-5 + sqrt(405)) - (1*sqrt(405)*5 + 4)) + 4. -103640 + 36*sqrt(5) Simplify (-4*(-4*((0 + sqrt(605) + 1 - sqrt(605)) + 4 + -3 + sqrt(605)) + 1 + -5))**2. 16896*sqrt(5) + 157184 Simplify ((-1 + -1*sqrt(363) + -2*(-1 + sqrt(363)))*-1 + -3 + (sqrt(396)/(sqrt(12)*1) - sqrt(33))/(sqrt(132)/(sqrt(36)/sqrt(3))))**2. -264*sqrt(3) + 3283 Simplify (-4*(0 + -3 + (sqrt(208) - (sqrt(208) + sqrt(208) + 2*sqrt(208) + -1 + sqrt(208)))) + 1)**2 + 1. 1152*sqrt(13) + 53330 Simplify (-2*1*sqrt(104) + sqrt(104) - (sqrt(104) + sqrt(104) + -6*6*sqrt(104)))/(sqrt(24)/(4*sqrt(3)) - (2*sqrt(392) + sqrt(8) + sqrt(8))). -44*sqrt(13)/21 Simplify 5 + -6*-2*sqrt(7) + 4 + -5 + ((sqrt(700) - 2*sqrt(700)*5)
{ "pile_set_name": "DM Mathematics" }
69. Let a be -2 + (-2 - -4 - -2). Let u(s) = s - 3 - s**o - 3 - a*s**2 - s**2 + 4. Give u(-3). -5 Let a(k) be the first derivative of -k**4/2 - 2*k**3/3 + k**2/2 - 2*k + 55. Give a(-2). 4 Let n(v) = -95*v + 137*v**3 + 11*v**2 - 15 + 82*v - 136*v**3. Calculate n(-12). -3 Let m(r) = r**3 + 9*r**2 + 17*r + 70. Let b be m(-8). Let c(g) = g**2 + 4*g + 3. Give c(b). -1 Let j(l) = 101 + 90 + l - 188. What is j(5)? 8 Let i(b) = -b**2 + 19*b - 22. Let f be (-6)/(3 + (-221)/65). What is i(f)? 38 Let g(i) = -i**2 + 12*i - 32. Let h = -767 + 771. Give g(h). 0 Suppose 4*s + 2 = 6. Let p(f) = 570*f**2 - 4 - 580*f**2 + 3 + f. What is p(s)? -10 Let h(v) = 13*v + 25. Let r be h(-2). Let q(d) = 8*d - 1. Calculate q(r). -9 Let w(v) = -16 - 4*v + 29*v - 24*v. What is w(11)? -5 Suppose -43*y + 47*y - 16 = 0. Let f(t) = -3*t + y*t - 10 + 12 + 0*t. Suppose -2*g - 8 + 2 = 0. What is f(g)? -1 Let d(y) = 28*y**2 + 10*y + 6. Let g(s) = 9*s**2 + 3*s + 2. Let i(k) = 2*d(k) - 7*g(k). Calculate i(-2). -28 Let t(x) = 19*x + 1. Let z = 90 + -91. Calculate t(z). -18 Suppose -4*t + 15 = t, 5*t = s + 12. Let u(x) = 458*x**2 - 450*x**2 + 5*x - 3*x**3 + 4*x**s - 8. What is u(-7)? 6 Let p(l) = -164*l**2 + 79*l**2 + 0*l + 83*l**2 - l. What is p(-1)? -1 Let m(j) = -51*j + 17. Let h(k) = -40*k + 17. Let a(t) = 5*h(t) - 4*m(t). Give a(-4). 1 Suppose -10*p + 4*p = 0. Suppose 2*v = -p*v. Let l(y) = -8*y**2 + 2*y**2 - 7 + 5*y**2. Give l(v). -7 Let x(j) = -3 + 6 + 3 - 7 + j. Let q(g) = 5*g - 3. Let y(l) = -q(l) + 3*x(l). Give y(-3). 6 Let q(y) = 4*y**2 - 33*y + 9. Let c be q(8). Let n(h) = -h**2 + 8*h + 4. Let j be n(8). Let x(t) = c - j + t + 1 + 3*t. Give x(3). 10 Let h(f) = f**3 + 3*f**2 + 3*f + 1. Suppose 5*i - 11 + 1 = 0. Let q = 3 + i. Suppose -w + 17 = -4*j, -6*j + j = q*w - 10. Give h(j). -8 Let o(c) = c**2 + 10*c + 14. Let w be o(-9). Let a be (-2)/w + 54/(-15). Let d(l) = -l - 3. Give d(a). 1 Let a(z) = z**2 + 6*z + 3. Let o(d) = -d + 3. Let q(v) = v - 1. Let c(p) = o(p) + 2*q(p). Let y(l) = -a(l) + 6*c(l). Let m be -3*48/(-18) + -5. Determine y(m). -6 Let l(c) be the third derivative of -11*c**5/60 + c**4/6 + c**3/6 + 117*c**2. What is l(-2)? -51 Let n be -2 + 2 + 0 - -3. Let j(x) be the second derivative of 2*x - 1/12*x**4 + 0 + 1/3*x**3 - 1/2*x**2. Determine j(n). -4 Let m(d) be the second derivative of d**4/12 + d**3/2 - d**2 + 3*d + 6. Let o(l) = l + 1. Let g be o(-4). Give m(g). -2 Let n(c) = 2*c - 49. Let x be n(27). Let z(v) = 2*v**3 + 9*v + 6. Let q(f) = 5*f**3 + f**2 + 26*f + 18. Let t(i) = 3*q(i) - 8*z(i). What is t(x)? -14 Suppose 18 = -31*o + 34*o. Let k(f) = 16*f - 13*f - f**2 + 2*f. What is k(o)? -6 Let k(j) be the first derivative of j**3/3 + j**2/2 - 23*j + 389. Calculate k(5). 7 Let h = -197 - -197. Let r(k) = -2*k - k**3 + 0*k**2 + k + k**2 + 11. Determine r(h). 11 Suppose -5*i - 20 = -5*w + 15, 0 = 5*i. Let g(b) = -1 - 6*b - 4 + 6*b + w*b - b**2. Give g(4). 7 Let v = -330 - -326. Let f(m) = 2*m**3 + 4*m**2 - 3*m + 1. Give f(v). -51 Let o(l) = -20 + 40 - 21 - 12*l. Determine o(1). -13 Suppose -27*r = -33*r - 6. Let b(m) = 2 - 2 - m + 3*m**3. Give b(r). -2 Let x(m) = -m**3 - 6*m**2 - 6*m - 3. Let u be 112/(-20)*1 - 6/(-10). Give x(u). 2 Let r(x) = x - 35. Let b be r(12). Let l(n) = n + 30. Let i be l(b). Let t(g) = g**2 - 7*g - 7. Give t(i). -7 Let l(w) = -2*w**3 - 6*w**2 + 3*w - 2. Let x(m) = m**3. Let i be 1 + -2 - ((-6)/2 - -5). Let v(g) = i*x(g) - l(g). Give v(4). 22 Let c(m) = -4*m**3 + m**2 + 6*m - 2. Let y(f) = -3*f**3 + 5*f - 1. Let h(g) = -4*c(g) + 5*y(g). Let i(j) = -4*j + 144. Let a be i(35). Give h(a). 7 Let a(u) = u**3 - 3*u**2 - 2. Suppose -2*v - 3 = -o, -4*v = -4*o - 0*v + 16. Suppose -11 = -o*p + 4. Give a(p). -2 Let a(t) = t**2 + 7*t + 6. Let k be 4 + (1 + -3)/2. Let g be 3 + -4 - (k - 22). Let h = -24 + g. What is a(h)? 0 Let w be ((-52)/(-10))/(((-56)/(-20))/(-7)). Let q(f) = f + 17. Determine q(w). 4 Let s(p) be the second derivative of p**4/12 + p**3/2 + 15*p**2/2 - 24*p. Let g(v) be the first derivative of s(v). Give g(-5). -7 Suppose 0 = -2*l + 2*y + 4, -y - 6 = -3. Let d(v) be the first derivative of 3*v**2 - 1. Calculate d(l). -6 Suppose 0 = -3*q - 2*w - 2, 6*q - q + 6 = -4*w. Suppose -5*o + 7 = 2. Let n(j) = j + o - 3*j**2 - j - j. Determine n(q). -13 Suppose 5*r - 2 = d + 7, -9 = -3*d + 3*r. Let y(h) = h**2 - 2*h - 17. What is y(d)? 7 Let n(q) = -2*q + 1. Let v(j) = j - 1. Let l(c) = -6*n(c) - 13*v(c). Let y(d) = -d**3 - 14*d**2 - 12*d + 16. Let k be y(-13). Determine l(k). 4 Suppose -2*m - 2 + 6 = 0. Suppose m*x = -3*b - 17, -2*b + 5*x + 23 = -3*b. Let a(v) = v**2 + v. Determine a(b). 6 Let b be 6/2 + (-4 - -3). Suppose -5*f = o - 20, -o = -b*f + 3*f - 4. Let t(l) = -2*l + 6. Calculate t(f). -2 Let v(d) = d**3 + 7*d**2 + 5*d - 4. Suppose 4*l + c = 8, 2*l + 3*c = -3*l + 17. Let y be (1/(-3))/(2/30)*l. What is v(y)? 21 Let f(a) be the second derivative of a**4/12 - 5*a**2 - 5*a - 14. Give f(0). -10 Let l(u) = -u**3 - u**2 - u + 5. Suppose -5*p + 5*q = 40, 5*p + q = -q - 61. Let m = p - -14. Suppose -m*n = -0*n. Determine l(n). 5 Let k = 22 + -27. Let o(v) = -3*v + 11. Let l(a) be the second derivative of -2*a**3/3 + 8*a**2 - 3*a. Let x(b) = 5*l(b) - 7*o(b). Calculate x(k). -2 Let q(a) = -9*a**2 + 14*a - 38. Let i(c) = 7*c**2 - 16*c + 36. Let t(m) = -4*i(m) - 3*q(m). What is t(20)? 10 Let c(a) be the second derivative of a**3 - a**2/2 - 8*a. Let y = 1 + 2. Suppose -2*v = -3*v - 4*n + 5, y*v + n = 4. What is c(v)? 5 Let r(q) be the second derivative of -q**5/20 - q**4/3 + 5*q**3/6 - 3*q**2/2 - q. Let z = -7 - -107. Suppose z*d - 95*d + 25 = 0. What is r(d)? -3 Let r(x) be the first derivative of 1/4*x**4 + 5/3*x**3 - 9/2*x**2 - 8*x - 49. Calculate r(-6). 10 Let t(q) be the first derivative of q**3/3 - 5*q**2/2 + 3*q - 25. Let o = -9 + 13. Give t(o). -1 Suppose 4 = 3*z + z. Suppose -13 - 67 = -8*s. Let l(y) = 0*y**3 + 4*y**3 - y**3 - s*y + 11*y. Determine l(z). 4 Suppose -13*d - 13*d = 182 - 0. Let a(j) = -j**2 - 6*j + 1 - j**2 + j**2. Calculate a(d). -6 Suppose 4*q - 50*w = -45*w - 21, 15 = -q - 2*w. Let r(d) = d**3 + 10*d**2 + 8*d - 11. Calculate r(q). -2 Let u(k) be the first derivative of -k**2 + k + 50. Calculate u(-5). 11 Suppose 3*x - 7 = 2*x. Let q(c) = 6 - x*c + 2*c**2 - c**2 + 0*c + 0*c**2. Calculate q(6). 0 Let f(t) = -t - 6. Let m = -9 + 3. Let a be f(m). Let v be (a + 16/12)*-3. Let p(d) = d**3 + 3*d**2 - 2*d + 5. What is p(v)? -3 Let d be (-14)/12 - 954/108. Let l(f) = -f**3 - 10*f**2 + 11. Determine l(d). 11 Let s(d) be the first derivative of d**4/4 - 4*d**3/3 - 3*d**2 + d - 2. Let b(x) = -2*x**3 + 13*x**2 - 2*x - 19. Let w be b(6). Calculate s(w). -4 Let g(z) = 4*z**3 + z**2 - 2*z + 1. Let p = -23 + 21. Suppose i + 1 = j + 3, 0 = -i + 3*j + 2. Let d be -4 + i + 1 - p. What is g(d)? 4 Let g = -5 - -13. Suppose -8 = 2*q + 2*u, 5*q + g = -u - u. Let t(n) = -5*n + 3*n + q*n - n. Give t(-3). 9 Suppose 0 = -5*r - 5*f, -r - 4*r - 27 = -4*f. Let w(p) = 4 + 5 - 3 - 4 - 4*p. Determine w(r). 14 Let u(s) = 3*s**3 + 2*s**3 - 4*s**3 - 2 + 4*s**2 - 4*s. Suppose 91 = 8*j - 77. Let k be (j + -18)*(0 - 5/3). Determine u(k). -7 Let l be (-5)/(50/4) + 28/20. Suppose -165 = -5*w + 285. Let u(m) = 83*m - m**2 + l - w*m - 8. Give u(-6). -1 Let s(i) = -i**3 - 6*i**2 - 2*i - 8. Let m be s(-6). Suppose -6 = 2*a, 7*a + 43 = m*k + 2*a. Let v(z) = -z**3 + 7*z**2 + 2*z + 4. Give v(k). 18 Let d(o) = -11*o**2 - o. Let x(n) = 3*n - 10. Let h = -12 + 16. Let l be x(h). Let f be 0/(l/(-2)) - 1. What is d(f)? -10 Suppose q + 7 = -3*a, 0*q + a = 4*q + 2. Let v(f) = -7*f**3 - f**2 - f - 1. What is v(q)? 6 Let m be 4*(-9)/63 - 78/(-63). Let h(u) be the third derivative of 1/12*u**4 + 0 + 0*u - u**2 - m*u**3. Give h(3). 2 Let k(i) be the first derivative of i + i**2 - 1/3*i**3 + 8. Let t(y) = y**3 + y**2 - 4*y - 2. Let d be t(2). Calculate k(d). 1 Let t(i) = -15*i + 14. Let c(p) = 25*p - 27. Let v(k) = 4*c(k) + 7*t(k). What is v(5)? -35 Let n be (-5)/(-2) - 52/8. Let j(m) = m**3 + 2*m**2 - 4*m + 4. What is j(n)? -12 Let p(s) be the first derivative of -s**4/4 - 3*s**3 - 4*s**2 + s - 69. Determine p(-8). 1 Let v(g) be the third derivative of 3/2*g**3 - 1/120*g**6 - 6*g**2 - 1/24*g**4 + 0 + 7/60*g**5 - 6*g. What is v(7)? 2 Let i(h) = -2*h**3 + 3*h**2 - 1. Sup
{ "pile_set_name": "DM Mathematics" }
- 247*z - 2*j = 14 for z. 0 Solve -2*k = -4*i - 92, -4*i - 96 = 9*k - 488 for k. 44 Solve 973*o = -4*m + 961*o + 36, -o = -2*m - 10 for m. -3 Solve 0 = 5*z - 1185728*j + 1185733*j + 90, 0 = -3*z - 5*j - 62 for z. -14 Solve -2*k + 176*x = 172*x + 11 + 35, 3*k = 5*x - 58 for k. -1 Solve -2*b - 3*r + 15957 - 16075 = 0, -103 = -b + 3*r for b. -5 Solve -4*v + 2*v - 8*o - 2*o - 38 = 0, -5611*o - 38 = 2*v - 5612*o for v. -19 Solve -2*p + 18*n + 20 = -22*n + 37*n, 46*p - n = 188 for p. 4 Solve -33 = -3*y - 6*m - 57, 0 = -93*y - 3*m - 378 for y. -4 Solve 3*l - 7*l - 3*x + 1 = 0, 0 = -162*l + 164*l + 9*x - 53 for l. -5 Solve 3174*t - 3179*t = j + 28, -3*j + 90 = -14*t for j. 2 Solve 3*a + 5*p = 26, 0 = -a + 27*p - 21*p - 60779 + 60734 for a. -3 Solve -759*p + 172 = -760*p + 5*k, 15*p - 4 = -k for p. -2 Solve 5*m - 31 - 8 = 34*z, -7*z + 6*z - 1 = -4*z - 4*m for z. -1 Solve -18*v = 2*p - 76, -63233 + 63244 = 5*v + 2*p for v. 5 Solve -b - 4*s - 14 - 11 = 0, -9 = 4*b - 4*s + 91 for b. -25 Solve -34*y + 4*u = 9*u + 7 - 48, -5*y - 9 = -u + 11 for y. -1 Solve 3*j - 340 = -50*k, -676 = 2*k + 3*k - 43*j + 284 + 305 for k. 5 Solve 35*u + 2*t + 13 = 38*u, 3*u - 6*u = 2*t + 43 for u. -5 Solve -y = 8*d + 47, 561*y - 559*y - 6 = 4*d for d. -5 Solve -4*r + 199*s - 204*s + 108 = 0, 5*r - 90 = s + 45 for r. 27 Solve -5*y - 1545*l + 340 = -1547*l, 1895 = 379*l for y. 70 Solve -4*f = -3*z - 3, 21183 - 21180 = -z + 2*f for z. 3 Solve 2*a + 18*b = -142, 28 = -13*a + 9*a - 3*b + 8 for a. 1 Solve 10*o - 12*o + 39 = u - 23, -7*u - 5*o + 416 = 0 for u. 58 Solve -z = -510*x - 512, 4*z - 9*z - 4*x = -6 for z. 2 Solve 14*a = -f + 85, 2*a - 4*f + 1120 = 1128 for a. 6 Solve 1 = -4*f - 2*l - 7, 167*f + 2*l = -497 for f. -3 Solve -2*p - 4*o + 7384 = p + 7400, -61*p - 480 = 4*o for p. -8 Solve 2*w + 972 - 1953 + 971 = -3*g, 4*w - 5*g + 2 = 0 for w. 2 Solve 4 = 2*m - 4*h + 8, -3*m - 5*h + 54*h + 59*h = 210 for m. 2 Solve 2 = 5*r - 2 - 6, 3*o + o + 0*o = -3*r - 22 for o. -7 Solve 2*g + 82 = 3*f - 2*g + 108, -11*g - 28 = 9*f + 4 for f. -6 Solve 0 = k - 6*h - 83, 4*k + 4*h + 344 = 284 for k. -1 Solve 0 = 1485*t - 742*t - 740*t + 2*b - 13, 3*t = 2*b + 17 for t. 5 Solve -85660 = 2*w + 4*a - 85678, 0 = 2*w + 3*a - 16 for w. 5 Solve -2*p + 166 = -5*a, 24*p - 32*p + 112 + 29 = 39*p for a. -32 Solve -45 = 2*l - 5*i, -5*l + 2*i = -70 + 57 + 73 for l. -10 Solve 5*r - 42 = 2*a, 8*r + 154 = -6*a + 7*r - 36 for a. -31 Solve -3*w = 7181*l - 7203*l + 41, -4*l + 5*w + 3 = 0 for l. 2 Solve 239*x = -6*o + 243*x + 70, -4*o + 39 = 5*x for o. 11 Solve -2*t = -5*c + 88, -19*c = -16*c - 6*c - 4*t + 32 for c. 16 Solve -7*o - 3 = o - 5*d + 49 + 13, -25 = -5*d for o. -5 Solve -2*v - 2*w = -162, 21*v + 19*v + 5*w = 34*v + 12*v - 442 for v. 77 Solve h + 3*n - 27 = 0, -19*n = -6*h - 25*n + 54 for h. 0 Solve 2*a + 38*w + 91 = 40*w + 101, -2*a + 4*w + 14 = 0 for a. 3 Solve -3*f - 3649 = -2*f - 4*x - 3632, 17 = -4*f - x for f. -5 Solve -4*v + 4*r = -40, -25*v - 31*v + 60 = -54*v - 9*r - r for v. 5 Solve -4*w - 1481189*h - 30 = -1481191*h, 0 = 3*w + h + 25 for w. -8 Solve 2*o = -27*b - 307, -19973 = -2*b - o - 20000 for b. -11 Solve -53*t + 314 = -58*t - 71*z, -t = z + 10 for t. -6 Solve 114*o + 71 = 119*o + 2*d + d, -d = 2*o - 25 for o. 4 Solve 16*v = 2*x + 7271 - 7199, -3*x + 27 = 3*v for v. 5 Solve 71*g + 54*g + 3*b - 643 = 0, 4*g - 4*b - 286 = -290 for g. 5 Solve l = -j - 124 + 110, -2*l = -2*j + 44 for j. 4 Solve -9*x - 422*r - 26 = -417*r - 5, r = -7*x + 9 - 34 for x. -4 Solve 100 = 2*b - 13094*o + 13080*o, -b - 4*o + 28 = 0 for b. 36 Solve 2*d + 28 = -4*g, 23*d + 138*g + 72 = 142*g for d. -4 Solve -1008683*u + 12 = -1008687*u + 4*y, -5*y = -25 for u. 2 Solve 440029 = c - 5*t + 439969, -5*c + 53*t = -664 for c. -5 Solve -8*a + 9*a = -4*f + 114, 15*a = 18*a - 3*f + 78 for a. 2 Solve 3*f - 3*y = 3, -5*f = -11*f + 3613*y - 3624*y + 91 for f. 6 Solve 9*o + 6*o = 12*o - q - 17, o = -3*q - 35 for o. -2 Solve 14*j - 86 = -k, -j + 66 + 36 = 4*k - 94 + 127 for j. 5 Solve 13718*t - 13723*t - 2*c = 121, 2*t = -3*c - 44 for t. -25 Solve 4*f + 7*x = -6, -853126*f - x + 8 = -853121*f for f. 2 Solve -3*c = -6*m - 0*c + 69, 4*m = -5*c + 3155953 - 3155886 for m. 13 Solve 0 = -2*y - 42403*q + 42400*q + 1, 5*y = 3*q - 50 for y. -7 Solve 0 = 30*p - l + 5, -306*p + l - 5 = -309*p for p. 0 Solve 2*h - 60 = 15*z, 15*z = z - 11*h + 8*h - 56 for z. -4 Solve 2*w = 3*p - 104, 23*p + 19*w = 39212 - 38346 for p. 36 Solve 17*c = 4*t + 271, -3*c + 4425432 = 4*t + 4425403 for t. -4 Solve 0 = -5*o - j - 19, 4*o + 249*j + 15 = 248*j for o. -4 Solve 57*b - 619 = 2*l, 0*l + 6*l - 476 = 5*b - 507 for l. 4 Solve -15*t + 14*t - 4006*c - 28 = -4010*c, -3*c = -21 for t. 0 Solve 0 = 11*d - 66, -185867*g - 39 = -185864*g - 2*d for g. -9 Solve 5*t + 5*z - 11 - 24 = 0, -2*z - 7*z - 9 + 1 = -9*t - 7*z for t. 2 Solve -2*q + 18*l - 17*l - 13 = 0, 3*l = -q + 67 for q. 4 Solve -4*o = -4*c + 72, -3*o + 4*c = 3260 - 3189 for o. -1 Solve 0 = -2*r + 5*m + 9, 14893 - 14881 = 12*m for r. 7 Solve 0 = -9*s - 4*a - a - 44, 18*s + a - 1480 = -762 - 743 for s. -1 Solve 105 = 2*t - l, -118*l = 59*t - 122*l - 369 for t. -1 Solve v + v - 8 = 0, 4*h + 5*v = 56 - 16 for h. 5 Solve 4*o = -19*w + 95, -4*w + 19 - 1 = o - 2 for o. 0 Solve 2965*s = -41*u + 2960*s + 338, -2*u - 3*s = -22 for u. 8 Solve 5*m = 40, 5*c - 4*c - 17*m - 398 = -538 for c. -4 Solve 0 = -5*j - 3232*b + 3240*b - 95, -j + 5*b + 19 = -2*j for j. -19 Solve 5*h - 281052 = -4*c - 281064, 0 = -5*c - 4*h - 15 for c. -3 Solve -4*z - 154 = 34*g, 21*z + 65*g + 3 = 23*z + 66*g for z. 4 Solve 0 = -8*q - 4*t - 36, 141*t + 218 = -35*q + 146*t + 38 for q. -5 Solve 4*b = -4*x - 4, -10*x = 2*b - 3*b - 953 + 908 for x. 4 Solve -3*q - 5*r = 56, 5*q + 151907 = 5*r + 151987 for q. 3 Solve -41*b = -5*h + 269, -100*b + 49*b + 2*h - 58 = -47*b for b. -4 Solve 38*v + 19*v = 0, -4*v + 3*v + 3*v = -5*a + a + 112 for a. 28 Solve -3*w + 2*u + 13 + 13 = -17, -w - 1154 = 32*u - 613 for w. 3 Solve -f = 2*v + 13, 9438 = -3*v - v + f + 4717 + 4710 for v. -4 Solve -9*t - w - 104 = 0, 5*t + 1070370*w - 1070374*w + 76 = 0 for t. -12 Solve -l - 2*n - 2*n = 9, -2*l + 13 = -0*l + 5*n + 25 for l. -1 Solve 54 = -w, -13*s = 20*w - 14*w - 8*w - 56 for s. -4 Solve 257*v - 259*v + 4*t = 26, 186*t - 3 + 4 = -7*v + 182*t for v. -3 Solve -104*r = -c - 219 + 638, 4*c - 5*r = -2*r + 24 for c. 3 Solve 11*b - 116 = 5*p, 10*b + 14 = 3*p + 11*b for p. 1 Solve -2*c - 4 = 3*o, 5*o + 8*c = -14*c + 11*c - 9*c + 10 for o. -2 Solve -3*x = 3786*v - 3790*v - 46, 0 = -8*v - 2*x - 76 for v. -10 Solve 122 = -4*c + 37858*g - 37863*g, 0*c - 2*c + 4*g + 61 + 47 = 0 for c. 2 Solve -3*l + 5*b - 33 + 13 = -7, 0 = b - 19 + 14 for l. 4 Solve -262*y + 18 = -5*t - 258*y - 24, 9*t + 21 = 3*y for t. 2 Solve 4*o - 5*i = 110, -2578 = -o - 88*i - 4157 for o. 5 Solve 5*m + 12*k + 3 = -10*k + 20*k, m + k - 6 = 0 for m. -5 Solve 4*t + 5*n + 43 = 0, 22556*n = -4*t + 22554*n - 46 for t. -12 Solve 20*u - 1733*a + 1729*a + 68 = 0, 2*u = -u - 4*a + 91 for u. 1 Solve -15*l + 20*l + 5*r + 35 = 0, 292*l - 287*l - r - 31 = 0 for l. 4 Solve -3*p + 9*d = 69, 0 = 5*p - 94*d + 97*d + 61 for p. -14 Solve -36*b - 8*c = -34*b + 60, -b + 5*b + 32 + 50 = 3*c for b. -22 Solve 5*d + 16 = -z, -65401189*d = 5*z - 65401193*d + 22 for z. -6 Solve -3*f + 859*t - 52 = 848*t, -3*f - t = t - 13 for f. 1 Solve -5*w + 260716*s - 260714*s + 56 = 0, 72 = 6*w - 4*s for w. 10 Solve 692*w - 688*w = 5*i + 91, -7*w = 3*i + 64 for i. -19 Solve t - 3*t + w + 1 + 11 = 0, -35*t = 11*w - 8*w + 10 - 56 for t. 2 Solve -3*i = -2*a - 18, 6*a - 12*a - 38 = 5*i + 2*a for i. 2 Solve -2*a = 7*u + 148, 5*a + 1423 = 4*u + 1096 for a. -67 Solve 0 = -25*i + 58*i - 32*i - 4*c - 216, -i + 9*c + 486 = 0 for i. 0 Solve 2*b = -2*o + 5*b - 18, 180*o + 91 = 180*o + 24*b - 53 for o. 0 Solve -29*z + 2*w = 549, -z - 225902*w = -225903*w + 18 for z. -19 Solve 2*f + 3*w = -3, -2*f + 4*f - 387 + 384 = 3*w for f. 0 Solve -2*q = 8*b - 32, 961*b - 966*b + 20 = 27*q for b. 4 Solve -3*o + 10*g - 12*g + 16 = -4*o, -300 = 8*o + 73*o + 4*g for o. -4 Solve -248 = p - 140*i, -3*i - 633 = p - 671 for p. 32 Solve -2*a + 3*i - 15 = 0, 29525*i - 48 = 5*a + 29528*i for a. -9 Solve -48 = -2*i + 12*o, 5*o = 276*i - 279*i + 95 for i. 30 Solve 4*a - u = -24, 14 = -3283*a +
{ "pile_set_name": "DM Mathematics" }
n 1/4, 892, 4, -0.5, 36? 36 What is the biggest value in -11/14, -23, -45094? -11/14 What is the third smallest value in 1493, 0.2, 0.0899, 0.12? 0.2 Which is the biggest value? (a) 1 (b) 0.4 (c) 91 (d) -213.1 (e) -0.5 c What is the fourth smallest value in -5, 2/11, 439, -11/3? 439 What is the fourth smallest value in 3/2, -2/7, -8, 5, -38.45, 0.5? 0.5 What is the fifth smallest value in -0.1, -2679, -5, -0.3, 0.14, 0.16? 0.14 Which is the second biggest value? (a) 8 (b) 50.32 (c) -0.1 (d) -3 a Which is the second smallest value? (a) 1145/12 (b) -3.1 (c) -19 b Which is the second biggest value? (a) -260662 (b) 2/13 (c) -5 c What is the fifth smallest value in -1, -1.51, -10, 4, -0.1? 4 Which is the biggest value? (a) 1/7 (b) -95.513 (c) 2 (d) -1822 c What is the sixth smallest value in 2/9, -2, -4, 1, 4, 1/4, -48221? 1 What is the fifth biggest value in -172/3, -1, -0.5, -4, -0.8? -172/3 What is the fourth smallest value in -1, -4/7, 0.04, -3/2, 0, -341, 114? -4/7 What is the third biggest value in -1, 5, -74.148? -74.148 What is the second smallest value in -3, -486, 15, -0.4? -3 Which is the third smallest value? (a) 559/14 (b) -2 (c) -0.4 a What is the sixth biggest value in 1.1, 2/3, -2/5, 2.9, 1/21, 0? -2/5 Which is the third biggest value? (a) -2 (b) 1/3 (c) 2/7 (d) -1/5 (e) 4 (f) 161/1810 (g) 0.4 b Which is the third biggest value? (a) -369920.5 (b) 0.3 (c) 2/11 (d) 5 c Which is the smallest value? (a) -804272 (b) -3 (c) 7 a What is the biggest value in 1, -76, -10, 2, -4, -239? 2 Which is the third smallest value? (a) -0.76 (b) 1/2 (c) 4 (d) 1.2 (e) -1 (f) 0 f Which is the sixth biggest value? (a) -3 (b) -2 (c) 1 (d) 3 (e) 1.16 (f) 215 a Which is the third biggest value? (a) 1/9 (b) -54 (c) 5760 b What is the sixth smallest value in 5, 28675, 1, -4, 63, 1/4? 28675 Which is the seventh smallest value? (a) 2/3 (b) -14 (c) -20 (d) 0.1 (e) 0.48 (f) -0.2 (g) 3/56 a What is the sixth biggest value in -6/13, 0, 0.2, 0.5, 21, -0.139? -6/13 Which is the third biggest value? (a) -7150 (b) 38/3 (c) 0.24 a What is the fifth smallest value in -1.3, -779, -3, -0.1, 3/8? 3/8 Which is the biggest value? (a) 2/13 (b) 6.93 (c) -5 (d) 4 (e) 16 e Which is the third smallest value? (a) -59.59 (b) -1 (c) 70 c Which is the fourth biggest value? (a) 47.9 (b) 4 (c) 0.1 (d) -14 (e) -10 (f) -1 (g) -0.5 g What is the third smallest value in -5, 0.5, -1528694, 1/5, -2/11? -2/11 What is the seventh smallest value in 4, -21, 3/382, -1/6, 5, 1/4, 0.5? 5 Which is the third smallest value? (a) -2/7 (b) 21 (c) -1 (d) 0.9 (e) -2/5 (f) -313 e What is the fifth smallest value in -1, -3, 1/30, 0.3, 19216, -30? 0.3 What is the smallest value in 2/501, -1, -3, -29, -4, -0.01, -2? -29 Which is the smallest value? (a) -3/8 (b) 5 (c) 11 (d) 231 (e) -0.05 (f) -0.1 (g) -15/4 g What is the fifth smallest value in 1/29, 8, 4, 3, -0.7, -1/5, -1? 3 What is the smallest value in 0.3549, -4/67, 2/5, -1/11, 5/3? -1/11 What is the second biggest value in 5, 30.938, -4/371? 5 Which is the second smallest value? (a) -76150.7 (b) 6/11 (c) -0.4 (d) -1 d What is the third smallest value in 0.2, 0.4, 1725, 0.9, 11? 0.9 Which is the fifth smallest value? (a) -2 (b) 171 (c) 57 (d) -2/3 (e) 0 b Which is the fourth biggest value? (a) -5/7 (b) -7 (c) 0.5 (d) 1 (e) 129 (f) -12 (g) 5 c Which is the sixth biggest value? (a) 4.1 (b) 0.09 (c) -1/6 (d) -3 (e) 0.5 (f) 20/13 d Which is the fourth smallest value? (a) -2 (b) 3 (c) -1/5 (d) 27.6 (e) 2713 (f) 0.1 b What is the smallest value in -10, -136, 1, 2/11, -1/3, -3, -6? -136 Which is the third biggest value? (a) 2/5 (b) -37686 (c) 0.9 (d) 96 a Which is the fourth biggest value? (a) -0.7 (b) -29 (c) 0.6 (d) -2/9 (e) -3 (f) -108 e Which is the second smallest value? (a) 0.26 (b) -7/5 (c) -2/9 (d) 1/4 c What is the third smallest value in 3679, -10, -1? 3679 Which is the second biggest value? (a) -35 (b) -3 (c) -8 (d) 3/8 (e) -4 (f) 0.59 d Which is the second smallest value? (a) 2 (b) -3/5 (c) -15744 (d) 1.3 (e) 5 (f) 4 b Which is the fifth smallest value? (a) -1/15 (b) 0.24 (c) -23 (d) -87 (e) -1 (f) -2 a What is the smallest value in -2/53, -3, 134, 4, 0? -3 What is the fourth smallest value in 0.4, -2/13, 0.8, 195/2, -1, 262, 3? 0.8 Which is the smallest value? (a) 100 (b) 0.1 (c) 2002 b What is the sixth smallest value in -3, -4, -0.7, -0.0594, -0.1, 2/241? 2/241 Which is the third smallest value? (a) 2.3 (b) -0.511 (c) 0.9328 a What is the third smallest value in 0.5, -2183715, 4? 4 What is the third smallest value in -15, 0.5, 3/5, 1384, -30? 0.5 What is the seventh biggest value in 123.9, -1, -1/13, 0.06, 1/7, -2/5, 0? -1 What is the fifth smallest value in -1/2, -14596, -4, 0.3, -16? 0.3 Which is the third smallest value? (a) -3 (b) 1/19 (c) -0.2 (d) 2 (e) 0.3 (f) 1 b What is the fourth biggest value in 14, 4.4, 27/116, -1/8? -1/8 What is the seventh smallest value in 1/7, -0.1, 0.1, -0.04, -4/7, 0.2, 2/263? 0.2 What is the fifth smallest value in 0.9, -45/17, 3, -4/5, 0.1? 3 Which is the third biggest value? (a) 0.6 (b) -4/7 (c) -0.1 (d) 13 (e) 3 (f) -27 a Which is the biggest value? (a) 0.98 (b) 4/7 (c) -5 (d) -2/187 a Which is the biggest value? (a) 11.046 (b) -1/16 (c) -1 a What is the fourth smallest value in -5/3, 2, 1.5, -2, 1, -3/8, -103? -3/8 What is the third biggest value in -72, 2, -137, -5, -2, -2/17? -2 Which is the second smallest value? (a) 1/5 (b) 7 (c) -39.51 (d) -641/2 c What is the second smallest value in 1/4, 5, -147.8, 4, -2/5? -2/5 Which is the third smallest value? (a) -3 (b) -28 (c) 22 (d) -8 (e) -5 (f) -1/11 (g) -2 e Which is the third smallest value? (a) 3 (b) 0 (c) -2/73 (d) 4 (e) -1 (f) 1528.5 (g) -0.3 c What is the third smallest value in -3.2, 480, 1/5? 480 What is the biggest value in 0.465, 120, 659? 659 Which is the biggest value? (a) 1/440 (b) 3993 (c) -10 b Which is the fifth biggest value? (a) 31 (b) -0.5 (c) 0.5 (d) 0.06 (e) 5 (f) -1/41 f Which is the fifth biggest value? (a) -4/9 (b) -208 (c) 0.14 (d) -5/8 (e) 5 b Which is the smallest value? (a) 41 (b) -16 (c) -0.2 (d) 4 (e) 5 (f) -2 (g) -26 g What is the fifth smallest value in -1, 2, -46, 5, -1.672? 5 Which is the second biggest value? (a) 52 (b) 2/7 (c) 4 (d) -110 (e) -1/6 (f) 2 c Which is the third smallest value? (a) 0.08 (b) -1 (c) 4.1 (d) 26 (e) 19 c What is the fifth smallest value in 0.4, 2/61, -2, 0.06, 39, -6, 0.44? 0.4 Which is the smallest value? (a) -74 (b) 4 (c) -515 (d) -32 c Which is the fourth smallest value? (a) 384/19 (b) -4 (c) -0.2 (d) -0.09 (e) 0.5 (f) 3 (g) -1 d Which is the third biggest value? (a) 1 (b) -9/4 (c) 2/27 (d) 4/37 (e) -1 (f) 3 (g) -0.5 d Which is the fourth smallest value? (a) -15 (b) 126956 (c) 3 (d) 0.2 b What is the smallest value in -8/7, 55, 3.21? -8/7 What is the second smallest value in 616, -19, 2, 1/56, 2/9? 1/56 Which is the third biggest value? (a) -197.48 (b) -1384 (c) -3/5 b What is the third smallest value in 4, 2/13, -0.4, 1.6, -55, 7? 2/13 What is the third biggest value in -1/5, 1/7, -653, 7? -1/5 Which is the second smallest value? (a) 2/7 (b) 951 (c) -2/3 (d) 0.095 (e) 14/11 (f) 1 (g) 5 d Which is the sixth smallest value? (a) 1.14 (b) 0.2 (c) -1/113 (d) 1/4 (e) -0.5 (f) -0.05 a Which is the fifth biggest value? (a) 0.2 (b) -1.02 (c) 264 (d) 70 (e) 0.6 b What is the second biggest value in 50/927, -4259, 3? 50/927 What is the fifth biggest value in -0.293, -0.2, -0.18, -3, 120? -3 What is the second biggest value in 26/9, -8.497, -748? -8.497 What is the smallest value in 20972, 6353, -3? -3 What is the sixth smallest value in 3/2, 4, -2.64, 8, 5, -0.0618, -0.5? 5 What is the fourth smallest value in -0.23, -3/2, -253, -1, -0.3, -0.8, -3? -1 Which is the third biggest value? (a) 5 (b) -1/6 (c) 5/51 (d) 7/6 (e) 2/13 (f) 12 d What is the third smallest value in -1, -529/3, -242, 0, 0.21? -1 What is the third smallest value in 10, -2290, 23, 0.1, 3? 3 Which is the third smallest value? (a) -5/24 (b) 0.034 (c) -5 (d) -1011 a Whi
{ "pile_set_name": "DM Mathematics" }
2*u + 9 = k*h, -3*u - h = 2*u - 3 for u. 0 Let j be ((-3)/(-2))/((-5)/(-40)). Solve -2*z - 4*m - j = 0, 4*z + 4*m = 5*z - 18 for z. 2 Suppose 25 = r + 3*f, -3*f - 20 - 19 = -3*r. Suppose 2*n + 2*n = r. Solve -2*y - 15 = 5*a, 3*y + 0*a + n*a = -12 for y. 0 Let w(s) = -s - 5. Let f be w(-5). Suppose f = -c - c - 12. Let k be 0 - (0 - c/(-3)). Solve -5*u - 20 = 0, -b - 2 = -u + k*u for b. 2 Let c(a) be the third derivative of 1/8*a**4 + 0*a**3 + 0*a + 1/30*a**5 + 0 + 2*a**2. Let h be c(-2). Solve 0 = 5*i + 5*u - 25, -2*u = -2*i + h*u - 8 for i. 2 Let j(p) = -p - 9. Let r be j(-12). Solve -3*i = -2*t - r, 4*t + 0*t + 2*i = -14 for t. -3 Suppose -2*l - 2 = -4*l. Suppose -5*h + 14 = -l. Solve h*n - 5*s - 2 = 0, 3*s - 1 = 5*n + 1 for n. -1 Suppose 3*q + s = 30, -12 = -0*s + 4*s. Solve q + 11 = -2*w - 3*k, 4*w = 5*k for w. -5 Suppose 0 = 10*z - 6*z - 8. Let t = -4 - -4. Let a be t/(1/1*1). Solve -4*u - x + 3 = 0, -3*u - z*u + 3*x - 9 = a for u. 0 Let j be ((-1)/2)/(1/(-14)). Suppose 0 = 2*h + 2*h - 12. Suppose -2*d = 4*f - 12, -h*d + f - 5*f = -16. Solve 2*t = -4*a + 10, j*a = 2*a + d*t + 32 for a. 4 Let y = 17 + -14. Solve -15 = y*w - 4*c, -2*w + 3*c - 1 = 9 for w. -5 Suppose -2*b = 5*j - b + 15, 3*b = -5*j - 25. Let z(p) = -2*p**3 + p**2 - 2*p - 2. Let m be z(j). Solve -4*f + 10 = 4*c - c, -5*c = -3*f + m for f. 4 Let f be (-5)/15 + (-46)/(-3). Suppose 9 = 4*r - j - 31, -3*r + f = 3*j. Solve u + r = -4*p, 3*u - 2*p = 1 - 14 for u. -5 Suppose -a + 3*y = 2*y + 1, -2*a - 4*y - 2 = 0. Let q be 22 - (-5 - (a + -1)). Solve -q = 4*g - 5*f, -2*g + 2*f = -0*g + 10 for g. 0 Let m = 7 - 3. Let y be m/(-14) + (-424)/(-14). Solve 0*j = -4*k - 4*j, 0 = -2*k + 4*j - y for k. -5 Let o(s) = s + 3. Let t be o(1). Solve 25 = -t*k + 5*p, 3*k - p = -4 - 1 for k. 0 Let a = -33 + 48. Let l be ((-9)/(-6))/(a/20). Solve -2*t - k - 8 = 0, 2*t = l*k - 6*k - 20 for t. -2 Suppose 0 = 3*w + 3 - 18. Let d = 8 - w. Suppose -7*j = -5*c - 2*j + 65, -d*c = 3*j - 51. Solve 0 = 3*n - 2*p - 5, c = -5*n - 3*p + 55 for n. 5 Let v(w) = w - 3. Let s be v(8). Suppose 12 = 3*y - 2*a, 0*y = s*y - 2*a - 16. Solve -5*t = y*j - 0*j + 15, 10 = -j - 5*t for j. -5 Suppose -p - 3 = -2*p. Suppose -20 = 17*w - 21*w. Solve 0*r = -q + r, -w*q + p*r - 4 = 0 for q. -2 Let o = -7 + 9. Suppose -o*g = -7*g. Solve g*m = 5*a + m + 23, 2*a - 3*m = 1 for a. -4 Suppose -2*w - 5 = -15, -2*w - 17 = -s. Solve k - 6*k - 25 = 0, 3*k = 4*r - s for r. 3 Suppose 18*h = 95 + 13. Let y(f) = 3*f**2 - 5*f - 4. Let p be y(4). Suppose -3*g - 4*s = -p, -6*g - 2*s + 26 = -g. Solve 2*c = v + 4*v + 12, v - g*c = -h for v. -2 Let g be 9/15 - (-2)/5. Suppose -c + n - g = -5, -20 = c + 5*n. Solve 3*b - 3*m = -21, c*b + 2*b - 1 = -3*m for b. -4 Let g = -12 - -8. Let y = g + 4. Suppose -2*r + 24 = 4*f + 2, -3*f + 3*r + 21 = y. Solve 2*s = b + 15, -b + f*b = 5*s - 50 for b. -5 Let v be -4 - 15/(-4) - 3/(-12). Solve 0 = 4*w + 20, -5*t - w + 2*w + 15 = v for t. 2 Suppose -2*o = -3*l + 8 - 2, -4*o - 4*l = 52. Let y = -5 - o. Suppose 0 = -5*p + 14 - y, 4*p = g - 4. Solve 5*u - 2*a + 6*a = g, 4*a - 12 = -4*u for u. 0 Suppose j + 26 + 17 = 3*d, -d = 4*j - 10. Let t be (-2)/d*-2*14. Solve 16 = -4*b - t*p, 0 = -0*b + 3*b + p + 10 for b. -3 Suppose 4*z - 36 = -b, 4*z + z + 33 = 2*b. Suppose -q = -5*j + b, 4*j + 5*q - 25 = -0*q. Solve 2*t + n - 7 = 0, 5*n + 18 + 7 = j*t for t. 4 Let o be 6 + -5 - (-9 + 0). Let u(m) = 4*m - 11. Let g be u(o). Solve 5*b + g = -4*z, -5*z = -b - 0*b for b. -5 Let c = 19 + -19. Solve c = -5*o - 0*o - 3*i - 23, i + 21 = -5*o for o. -4 Suppose 4*d + 8 = -2*k + 2*d, -3*k - 12 = 5*d. Let o be -2*(6/k + 0). Suppose o*u = 15 - 3. Solve 2*s = -2*c, -c - u*c + 5*s + 10 = 0 for c. 1 Suppose 6*c - 8 = 4*c. Solve 3*a - 5*v + 11 = 0, c*v - 9 = 2*a + 1 for a. 3 Let d(f) = f**2 - 3*f - 5. Let x be d(4). Let c be x*(1 + -1 + -1). Suppose 4*r = -3 - c, -4*r + 16 = 5*g. Solve 2*i + g*a - 2 = 2, -3*i - 4*a + 6 = 0 for i. 2 Suppose 0 = -4*f + 4*w, 2*f = -2*f - 2*w + 12. Solve -2*n - 6*s = -s + 25, 26 = -4*n - f*s for n. -5 Let u = 16 - 7. Suppose 0 = y + 4 - u. Suppose -11 = -y*s + 14. Solve 2*k = 5*j - s, -k - 15 = k + 5*j for k. -5 Let o = 122 + -122. Solve -2*s = -3*d - 19, o = -4*d + s - 21 - 1 for d. -5 Suppose -2*u + 0 = -2. Let p be u + -1 - (0 + -4). Let c be (-22)/(-5) + 4/(-10). Solve 4*r = c*o - 3*o - 8, 4 = -4*o + p*r for o. -4 Let x(l) = -1. Let p(y) = 4*y - 13. Let d(j) = p(j) - 3*x(j). Let t be d(7). Solve 0 = -5*s + 5*b + 11 - 1, 3*s - t = -b for s. 5 Let b be 3 - (3 - 8)/5. Solve 0 = 3*d - 6, -b*x + 2*d - d + 14 = 0 for x. 4 Let a be (1/2*0)/(-3). Solve a = 4*l + 4, 0*i = 2*i - l - 5 for i. 2 Let y = -116 - -118. Solve 3*n + 3*s - 12 = 0, -5*s + y*s = -3*n - 6 for n. 1 Let b(q) = -q - 6. Let a be b(-8). Suppose 34 = 4*r - a. Solve -2*o - 4 = 2*x, r*x - 4*x = 0 for o. -2 Let r(d) = -4*d - 7. Let x be r(-5). Let m be (-2)/(-8) - 45/(-12). Suppose m*w - 5*y - 41 = -0*y, -5*w + 25 = -y. Solve -w*b - 4 - 13 = g, 2*b - g = -x for b. -5 Let r be (-81)/(-4) + (-26)/8 + 3. Solve -r = 5*b, 3*h + 4*b + b = -32 for h. -4 Suppose 2*x + 3*x - 140 = 0. Suppose 0 = -0*w - 4*w + x. Solve -5*k - 2*m - 6 = w, -3*k = -2*m + 11 for k. -3 Let x be 1 - (5 + -1 - 3). Suppose -5*d - 4*b + 2 = x, -2*d + 8 = -b + 2. Solve f + 2*q = -2*f - d, f + 24 = 4*q for f. -4 Let i(p) = -p**2 + p + 12. Let t be i(4). Solve 2*r = -2*w, -5*w + t*w - 3*r = 10 for w. -5 Let z(l) = l + 9. Let y be z(-11). Let o be (-174)/(-24) + y/8. Solve n + 2*n - o = 2*p, -n - 26 = 5*p for n. -1 Let p(b) = -b**2 + 2*b + 5. Let k be p(4). Suppose 6*f - 2 = 5*f. Let n = f - k. Solve 3*l - 6 = 5*d + 17, -4*l = n*d + 16 for l. 1 Suppose 0*s = 2*i - 2*s - 12, -3 = s. Solve 3 = -3*q - i*f, -f + 3*f - 18 = 3*q for q. -4 Suppose 18 = -0*b + b. Suppose 6*m - 2*m = 20. Suppose -m*x + b = -167. Solve -2 + 31 = 3*q + 4*c, 4*q + 5*c - x = 0 for q. 3 Let r = 31 - 28. Solve -r*j + 2*f = -6*j + 4, 28 = 4*j - 3*f for j. 4 Let x be 4/(52/(-20) + 3). Let y = 9 + 16. Let d = -11 + y. Solve 0 = -3*s - 2*f + x - 2, 4*s + f - d = 0 for s. 4 Let h be (-1 + 14/(-6))/((-20)/30). Solve 18 = -2*t + 8, -2*t = -h*x + 30 for x. 4 Let y be (40/15 - 3)/(2/(-12)). Solve -1 + 7 = -2*c - t, -9 = c + y*t for c. -1 Let p(n) = -2*n**3 - n**2 - 2*n - 1. Let x be p(-1). Let b(z) = z**2 - 11*z + 5. Let d be b(11). Solve 0*q + 2*q + x = 4*r, 0 = -d*r - 4*q + 35 for r. 3 Suppose 10 = 4*a - 2. Suppose 4*o = 4*x - 52, -x - 7 = a*o - 0. Suppose -4*m - 5*i - x = 0, -m + 0*m - 2*i = 5. Solve y + m*t - t = 1, 3*t + 3 = 0 for y. 3 Suppose -2*w = 2*y - 14, -2*y = -w + 3*y + 19. Solve 0 = -3*m + w, 4*f + 1 = -4*m - 3 for f. -4 Let f be 4/(1 + (-4 - -5)). Solve t = 4*r - 0*r - 21, -23 = 3*t - f*r for t. -5 Let b = -149 + 151. Solve -3*f + b*d = -7, -d + 8 = 4*f - 5*d for f. 3 Let s be (-2 + 2)*1 - 10. Let u(z) = -z**2 + 14*z. Let f be u(13). Let r = s + f. Solve r*l = -2*t - 0*l - 13, 4*t + 3*l + 17 = 0 for t. -2 Let r(x) = 3*x + 3. Suppose 7*k = 2*k + 55. Let z(g) = g + 1. Let t(d) = k*z(d) - 4*r(d). Let w be t(-6). Solve -10 = 4*o + y, 5 = -4*o + w*y + 7 for o. -2 Let r(d) = d**2 - 9*d - 6. Let b be r(10). Solve -4 = 4*m + u, m - b*u = -3*u - 1 for m. -1 Let w be 6/((-2)/4 - 0). Let h = -7 - w. Solve 0 = 2*i + x + 12, -i = 2*i + h*x + 25 for i. -5 Suppose 0 = i + l - 11, -i + 4*l - 7 = -l. Solve -i = 4*p, -5*x + 2*p - 14 = 4*p for x. -2 Let q be 2 + -2 + (0 - -2). Solve 4*s - q*g = 4, 0 = -3*g + g - 4 for s. 0 Let u = 1 - -1. Suppose 4*i + 8*w - 9*w - 11 = 0, -2*i + 1 = -5*w. Solve -4*s - 29 = i*y, u = s + s - 4*y for s. -5 Let q = 32 + -27. Let k be (-1 - (-4 + 0))*-1. Let t = k + q. Solve -t*g - 2*a = -5 - 3, 0 = g - a + 4 for g. 0 Suppose r - 5*z - 7 = 4*r, -3*r = 4*z + 5. Solve -3 = -2*l - 1, -2*j + r = l for j. 0 Suppose -2*d + 4 = 2, -15 = -4*p + 5*d. Solve h + 4*g = -8, -g - 10 = -p*h + 4*g for h. 0 Let j(q) = -q**2 - 3*q + 2. Let m be j(-5). Let g = 10 + m. Solve u = 2*u - 2*s - 1, -g*u - 16 = 5*s for u. -3 Let u = -23 - -24. Solve 2*m + l = m - 9, m - l = u for m. -4 Let i be 0*(-1 + 2)*1. Let t be i - (2 + -4 - 0). Suppose -5*n + 15 = -t*n. Solve l + l = n*g + 12, g + 4 = 0 for l. -4 Let f = -15 - -27. Let t be (-8)/(-5)*5/2. Let s(h) = h**3 + 5*h**2 - 6*h + 4. Let w be s(-6). Solve -4*u + f = t*n, -w*u - u + 5 =
{ "pile_set_name": "DM Mathematics" }
se 6) to base 10 5797256 Convert -b2bbc (base 14) to base 8. -1510462 Convert fcec9 (base 16) to base 11. 648388 Convert ac3ab7 (base 14) to base 3. 102000012010022 What is -524972 (base 14) in base 9? -5204706 -11011001000100110010001 (base 2) to base 7 -114313626 Convert 685d (base 15) to base 7. 121354 23a35 (base 13) to base 6 1222555 19355211 (base 10) to base 4 1021311121023 Convert a58840 (base 11) to base 10. 1695375 122203003 (base 4) to base 12 52b17 What is c38a (base 13) in base 3? 1101000110 Convert -26cc15 (base 13) to base 10. -942362 -7c22b (base 15) to base 11 -250054 Convert 12002001202110 (base 3) to base 5. 1142312402 -24516041 (base 7) to base 3 -11011002100022 Convert -12771aa (base 12) to base 11. -2067735 60203212 (base 7) to base 5 2233213013 Convert 153070 (base 8) to base 4. 31120320 Convert -552685 (base 9) to base 12. -13b01b Convert 630b3 (base 15) to base 4. 1030222323 Convert 845944 (base 10) to base 14. 180408 Convert 210342304 (base 6) to base 13. 9b5861 Convert -537101 (base 8) to base 6. -3504145 1100121200100 (base 3) to base 5 141030442 What is -10101101111000001000 (base 2) in base 13? -1bc228 What is -60446 (base 11) in base 6? -1521100 ba0843 (base 12) to base 9 5478676 Convert 7410235 (base 8) to base 12. 7b02a5 -110000110101010011111 (base 2) to base 13 -440452 6970 (base 13) to base 14 556a -22351 (base 7) to base 3 -21210001 What is 409dd5 (base 14) in base 2? 1000010011111010100111 Convert -177329 (base 12) to base 2. -1100011010000010001 -338299 (base 15) to base 16 -257ffa Convert -1b1d2b (base 14) to base 2. -11101011110001100011 ab679 (base 12) to base 16 377fd -3848478 (base 10) to base 5 -1441122403 -11a7635 (base 11) to base 5 -1013322403 78114 (base 11) to base 9 182336 11863741 (base 9) to base 10 5828959 Convert c7ecbe (base 15) to base 11. 54102a2 106111005 (base 7) to base 8 30604213 Convert -1012121011212 (base 3) to base 12. -26b3ab Convert 245ab72 (base 13) to base 6. 1042152205 Convert 433313 (base 5) to base 2. 11100111110001 -17b726 (base 12) to base 3 -210000221110 Convert 3142 (base 11) to base 5. 113120 What is -97052a (base 13) in base 14? -682d9b 1544512 (base 8) to base 15 8bb9b -3765a (base 13) to base 3 -12012010101 Convert -96228 (base 13) to base 11. -175343 10000101111110100110100 (base 2) to base 12 1578758 114600 (base 8) to base 7 222365 Convert 124605611 (base 7) to base 14. 10bc178 What is 2010100010 (base 3) in base 11? 2944a What is 44512425 (base 7) in base 12? 1359289 What is -2199b (base 14) in base 9? -133680 What is 86452 (base 11) in base 9? 211326 -3133243412 (base 5) to base 12 -2235002 Convert 11000101010001000 (base 2) to base 15. 1edd5 What is -2342a (base 11) in base 16? -83ff -b4079 (base 12) to base 9 -387443 Convert 101000111111111001101 (base 2) to base 4. 11013333031 Convert -1206185 (base 10) to base 12. -4a2035 Convert -11144443 (base 5) to base 8. -303236 824b7 (base 13) to base 2 111001000011101100 Convert 2421014 (base 7) to base 15. 61272 -c00208 (base 15) to base 6 -523153342 What is 12d20d (base 14) in base 16? 9eded -320223 (base 7) to base 6 -1104110 Convert 16611c (base 13) to base 4. 2013300003 What is -c3684 (base 14) in base 2? -1110010110111110100 What is -582676 (base 9) in base 5? -42142441 Convert 15a839 (base 12) to base 2. 1011010100100101101 What is -22342354 (base 6) in base 14? -13a8d8 135444224 (base 6) to base 12 b26674 What is -249764 (base 11) in base 3? -201222212101 What is -405474 (base 8) in base 5? -13241243 -5010412 (base 6) to base 11 -15039a a192ab (base 15) to base 8 35216741 221970 (base 12) to base 11 34043a What is -412341 (base 13) in base 11? -948015 What is 4d2c9 (base 14) in base 2? 101110010111010001 Convert 65c0 (base 16) to base 5. 1313143 5a80753 (base 11) to base 8 50304354 -21801 (base 11) to base 9 -47281 What is 1001001000111111100 (base 2) in base 16? 491fc Convert -26163 (base 11) to base 16. -9252 What is 10742 (base 16) in base 5? 4124034 -81323 (base 9) to base 16 -d0e9 -204354 (base 8) to base 12 -332b8 What is -36516 (base 12) in base 9? -121510 Convert -242252 (base 7) to base 5. -2402124 Convert 323313133 (base 4) to base 6. 5131131 What is c9199 (base 13) in base 4? 1120210300 1c17a4 (base 14) to base 8 3647104 What is 261089 (base 10) in base 7? 2135123 What is 38168 (base 9) in base 13? b8a9 -1151611 (base 7) to base 4 -203322202 668914 (base 11) to base 8 4041660 428d68 (base 16) to base 5 2104032301 47725607 (base 8) to base 2 100111111010101110000111 Convert -90908 (base 10) to base 8. -261434 What is 121000222122 (base 3) in base 14? 83063 Convert -3c1376 (base 14) to base 10. -2077900 Convert 1530613 (base 9) to base 3. 1121000200110 -4401410 (base 5) to base 13 -2831c Convert 234b9a4 (base 12) to base 2. 11010000001011111001100 What is 6b9b6b (base 15) in base 12? 1882078 -127195 (base 12) to base 13 -a79b4 Convert -11abf6 (base 16) to base 3. -2011211122212 What is d1277 (base 16) in base 7? 10165440 What is 2a478 (base 15) in base 3? 20220120112 1110022222210 (base 3) to base 12 314040 What is 1110101001110100100 (base 2) in base 13? 13a729 What is -112001103 (base 4) in base 12? -44243 Convert -2000212101 (base 4) to base 16. -80991 What is 1a510a5 (base 13) in base 12? 2aa9b78 252a91 (base 11) to base 4 1201132233 -1301144411 (base 5) to base 14 -5bcb56 Convert 196a5c (base 14) to base 10. 902074 What is 365011 (base 9) in base 6? 4415144 Convert 552144 (base 10) to base 7. 4456515 Convert -10442221300 (base 5) to base 11. -6658046 What is -220210200112 (base 3) in base 16? -77309 What is 5a420 (base 13) in base 16? 28665 -76586 (base 12) to base 4 -212022312 Convert -1110001111100100110 (base 2) to base 13. -134590 Convert 908a19 (base 11) to base 7. 15264313 What is 13a9d (base 14) in base 9? 73773 Convert -10dab (base 14) to base 5. -2303430 Convert 1327752 (base 8) to base 4. 1122333222 54034112 (base 6) to base 2 110000100011100111100 What is 2505626 (base 10) in base 12? a0a022 What is -2602339 (base 10) in base 9? -4805657 2b1662 (base 13) to base 5 232410143 What is 3331123203 (base 4) in base 8? 3753343 -50116 (base 10) to base 11 -34720 What is -2204242233 (base 5) in base 2? -10010001001111000011100 Convert -306604 (base 9) to base 11. -114825 12201010 (base 8) to base 2 1010010000001000001000 4237333 (base 8) to base 14 215c4b -146677 (base 10) to base 4 -203303311 What is 56171 (base 11) in base 6? 1424450 -11168357 (base 9) to base 2 -10100101010111111001000 Convert -aa663 (base 15) to base 11. -33a881 Convert 651b (base 14) to base 12. a139 Convert -12120121101112 (base 3) to base 10. -2964398 What is 139f9 (base 16) in base 4? 103213321 Convert -1426566 (base 8) to base 4. -1202311312 Convert -34d242 (base 16) to base 15. -485a4d -4091b (base 13) to base 14 -302a9 What is 100313011223 (base 4) in base 11? 2549854 -23b458 (base 16) to base 15 -3134a3 Convert -2210221212112 (base 3) to base 5. -340320320 -5130234 (base 7) to base 12 -256476 583651 (base 11) to base 5 214132113 What is 66193 (base 12) in base 4? 200331333 What is 4360056 (base 8) in base 12? 485b52 Convert 2859c (base 13) to base 14. 1d812 Convert -410257 (base 9) to base 8. -732433 Convert -2f2758 (base 16) to base 9. -5730036 What is 4877134 (base 9) in base 8? 12066322 Convert -1213514 (base 6) to base 13. -23395 10121102102022 (base 3) to base 11 109a780 -21021100121 (base 3) to base 8 -427447 -9ab8 (base 14) to base 7 -141121 -7a7865 (base 12) to base 9 -3621045 -150722 (base 14) to base 7 -6134042 Convert 43123 (base 14) to base 13. 58a40 Convert -1133201210 (base 4) to base 10. -391268 Convert 37076 (base 13) to base 11. 6a003 What is -1000001212100 (base 3) in base 16? -82140 Convert -1b1b4b (base 12) to base 14. -c7071 5201551 (base 6) to base 7 2055463 What is -120b7 (base 16) in base 3? -10202101110 What is 130a2 (base 14) in base 16? b6c6 Convert 1112101122012 (base 3) to base 9. 1471565 586b5 (base 13) to base 6 3243515 110785 (base 10) to base 7 640663 119049 (base 13) to base 9 708630 Convert 10014313230 (base 5) to base 14. 1461d50 Convert -2221021110212 (base 3) to base 4. -11330331113 What is 554b9 (base 12) in base 4? 123212031 Convert -11030142 (base 5) to base 12. -4744
{ "pile_set_name": "DM Mathematics" }
t - 4*k - 166, -9*k + 6*k - 168 = -t. List the prime factors of t. 2, 3, 29 Suppose 0 = -3*l + 4*i + 120, l - 4*l - i + 120 = 0. Let u(z) = -3*z**2 + 148*z - 97. List the prime factors of u(l). 3, 11, 31 Let w(t) = -t**2 + 13*t - 15. Let y(f) be the third derivative of -f**5/30 + 11*f**4/24 + f**3 - 15*f**2. Let i be y(5). List the prime factors of w(i). 7 Let q be -21 + (4/14 - (-16)/(-56)). Let o = 24 - q. Suppose o*k - 44*k - 51 = 0. List the prime factors of k. 3, 17 What are the prime factors of (((-270972)/26)/(-27))/((2/4)/1)? 2, 193 Let a = 2186 + -1217. Let t = -2 + a. List the prime factors of t. 967 What are the prime factors of (-7)/(-2) - 745706/(-172)? 4339 Let q be 13/((-13)/(-30))*2/3. Let y = q - 15. What are the prime factors of (y/(-30)*-3)/((-2)/(-188))? 47 Let y be (4 - -3) + (-3 - 2/(-2)). Let b(o) = -o + 10. Let u be b(y). Suppose -4*t + u = 4*z - 83, z = -4*t + 22. What are the prime factors of z? 2, 11 Let a(d) = -583*d**3 - 5*d**2 - 19*d - 24. What are the prime factors of a(-4)? 2, 3, 13, 239 What are the prime factors of (-86547)/(-34)*(-120)/(-18)? 2, 5, 1697 Let l be (-1)/(-2) - (-162)/12. Let v(o) = -3*o + 34. Let d be v(l). List the prime factors of (-1)/(2/d) - -98. 2, 3, 17 Suppose 19038 = 53*m - 2162. What are the prime factors of m? 2, 5 Let m(d) = 2*d**3 - 3*d**3 + 11*d - 19 - 19*d**2 + 7*d**2. Let x be 18/6 - 10 - 18/3. List the prime factors of m(x). 7 Suppose 3*y - r = 96739, 378*r + 161205 = 5*y + 383*r. What are the prime factors of y? 5, 6449 Let k(n) be the second derivative of -n**5/20 - 29*n**4/12 - 6*n**3 + 5*n**2/2 - n + 1. What are the prime factors of k(-28)? 229 Let b = -53 + 56. Suppose 2*h = 6, b*j - 5*h + 2*h = 1278. Suppose 2*f - 7*f = 3*g - 265, 5*g = -2*f + j. What are the prime factors of g? 5, 17 Let x be (-29*2/8)/((-29)/116). Suppose 0 = x*d - 25*d - 2968. List the prime factors of d. 2, 7, 53 Suppose 13*u + 0*u - 99091 = 173415. What are the prime factors of u? 2, 47, 223 Let w(o) = 6*o**3 + 10*o**2 - 53*o - 92. List the prime factors of w(9). 5, 13, 71 Let r be 1 + (16/(-10))/(2/5). Let s be 45/9 + r/1. Suppose 0 = 4*t - s*t - 424. What are the prime factors of t? 2, 53 Suppose 2*b = 81*c - 77*c + 25618, 5*b = 4*c + 64033. List the prime factors of b. 5, 13, 197 List the prime factors of ((-3909)/1)/((30/8)/(-5)). 2, 1303 Suppose 4*u + 117*n - 14075 = 120*n, 4*u = -n + 14055. List the prime factors of u. 5, 19, 37 Let a = 155 + -147. Suppose -4*p + x + 299 = 0, 72 + 80 = 2*p + 2*x. Let w = p + a. List the prime factors of w. 83 Suppose q = -l, -6*l + 4*q = -l - 45. Suppose 11*w - 654 = l*w. Let h = w - 36. List the prime factors of h. 73 Suppose -98*x = -122*x + 426936. What are the prime factors of x? 17789 Let k = -35 - -66. Suppose -30*f = -k*f + 3. Let x(i) = 4*i**3 - i**2 - 4*i. What are the prime factors of x(f)? 3, 29 List the prime factors of (-24)/3 - (-1)/((-5)/(-147970)*1). 2, 3, 4931 Suppose f + 5 = 19. Suppose -280 = 10*q - f*q. Suppose -4*v + q + 106 = 0. What are the prime factors of v? 2, 11 Suppose -2*n = 3*u - 12, -u - 9 = -5*n + 2*u. Suppose 0 = 3*o + n*r - 21, 25 + 10 = 5*o - 2*r. Suppose o*k = k + 12. What are the prime factors of k? 2 Let v(d) = -d**3 + 8*d**2 - 3*d + 1. Let w be v(3). Let z = 62 - w. Let f(c) = -2*c**2 + 58*c - 30. What are the prime factors of f(z)? 2, 5, 17 Suppose -501*i + 256*i + 257*i - 143388 = 0. List the prime factors of i. 3, 7, 569 Suppose 7*t - 900 = 2*t. Let s be (240/(-45))/((-1)/t). Suppose 0 = 3*r - 4*n + 43 - 619, 2*n + s = 5*r. List the prime factors of r. 2, 3 Suppose 0 = -3*g + 96 + 48. Suppose -12*m = -86 + 14. Let p = g + m. List the prime factors of p. 2, 3 Let m = 64 - 70. List the prime factors of 544/(-12)*m/4. 2, 17 Let f(o) = 8*o**3 + 2*o**2 + 6*o + 6. Let d be f(-2). Let y = d - -93. List the prime factors of y. 31 Let f(o) = 201*o - 677. List the prime factors of f(20). 3343 Let z be ((-4)/6)/((-11)/33) + 3. Suppose 1 = s + z, 0 = -3*d + 2*s + 14. Suppose p = 4*t + 19 + 84, p - 121 = -d*t. List the prime factors of p. 5, 23 Suppose 0 = -650*d + 647*d + 4*p + 15444, -20592 = -4*d + 2*p. What are the prime factors of d? 2, 3, 11, 13 What are the prime factors of 3 + (3 - 1)*(-48362)/(-4)? 2, 3023 Let k(p) = -8*p - 6. Let q be k(-1). Suppose 5*x - q*i - 6 = 6, 2*x + 4*i - 24 = 0. Suppose -x*j - j + 125 = 0. List the prime factors of j. 5 Let j(t) = -t**2 + 10*t + 18. Let u(n) = 2*n**2 - 9*n - 18. Let o(m) = 3*j(m) + 2*u(m). Let s = 81 - 97. List the prime factors of o(s). 2, 41 Suppose j - 4*h - 19 = 0, -3*j + 2*h + 14 + 3 = 0. Suppose 0*i = -j*i - 21. Let n(d) = 2*d**2 + 10*d + 3. List the prime factors of n(i). 31 Suppose 3*s + 2*s - 24417 = 2958. List the prime factors of s. 3, 5, 73 List the prime factors of 1 + 27166 + (-12)/(-30) + 4/(-10). 7, 3881 Suppose -4*q = 5*n - 8, 2*q + q = 4*n - 25. Let m be 35/(-28) + 3 + 1/4 + 0. Suppose -m*w = 2*l - 150 - 36, n*w = l + 387. List the prime factors of w. 2, 3 Let o(n) = n**2 + 2*n - 17. Let z be o(-7). Suppose -23*f = -20*f - z. What are the prime factors of f/(-4)*(-3450)/45? 5, 23 List the prime factors of (-4)/(-72)*2 + (-3178560)/(-135). 5, 17, 277 Let t(s) = 1508*s + 5249. What are the prime factors of t(26)? 3, 7, 29, 73 Let z = 19 + 183. Let n = -107 + 112. Suppose -5*b + z = 2*l, n*b - 240 = -3*l + 53. List the prime factors of l. 7, 13 Suppose 295*d + 1123 = 296*d. Suppose d - 4961 = -38*r. List the prime factors of r. 101 Suppose -11*n + 16*n = -r + 15525, 3*r - 4*n = 46670. List the prime factors of r. 2, 5, 311 Let t(g) = 89*g + 101. What are the prime factors of t(18)? 13, 131 Let o(z) = 35*z + 880. Let q be o(-25). Suppose 2*h + 3 + 1 = 0. What are the prime factors of 85/h*(-16)/q? 2, 17 Suppose 25360 = -42*i + 234814. List the prime factors of i. 4987 Let h(l) = -1616*l - 214. Let r(y) = 323*y + 42. Let t(k) = 2*h(k) + 11*r(k). What are the prime factors of t(2)? 2, 13 Suppose -27*s + 23*s = -3020. Let x = s - -19. What are the prime factors of x? 2, 3, 43 Suppose -63691 = -12*k + 198281. List the prime factors of k. 3, 19, 383 Let f be ((-4)/6 + 0)/((-10)/3780). Let w = 429 - f. Suppose 1367 = 7*g + w. List the prime factors of g. 2, 5, 17 Let d(b) = -b**3 + 31*b**2 + 44*b - 250. Let u be d(32). Suppose -125 = 4*m + 235. Let s = u + m. What are the prime factors of s? 2, 11 What are the prime factors of (21 + 1359/(-45))*((-7170)/(-4))/(-1)? 3, 23, 239 Suppose 0 = 13*r - 12*r - 241. Let s = r - -454. What are the prime factors of s? 5, 139 Suppose 0 = 4*o - 7*o - 6. Let x be o + 2 + 3 + 7. Suppose -x*a - 133 = -1063. What are the prime factors of a? 3, 31 Let i(n) = -994*n + 13. Let f be (-45)/36 - (-3)/12. List the prime factors of i(f). 19, 53 Suppose -489252 = -100*m + 2400548. What are the prime factors of m? 2, 14449 Suppose 13754 = -1905*z + 1928*z. List the prime factors of z. 2, 13, 23 Suppose 5*c + 3*k = 71058, 0 = c + 6*k - 4*k - 14206. What are the prime factors of c? 2, 3, 23, 103 Let s(j) = -j**2 - 132*j + 115. List the prime factors of s(-80). 3, 5, 19 Let m = 33 - -63. Suppose -4*k + 151 = -5*f, m = 3*k + 2*f - 0*f. Suppose -6*d + 368 = -k. List the prime factors of d. 67 List the prime factors of (-3876)/(1/(-21)*7). 2, 3, 17, 19 Let h = 894 - -396. Suppose 2*b + h = 8*b. Suppose -2*g + l + 172 = 2*g, -5*g - 5*l + b = 0. List the prime factors of g. 43 Suppose -119*k + 115*k = -p - 89189, p + 22295 = k. What are the prime factors of k? 2, 11149 Suppose 5 - 23 = -3*p. Let v(f) = -18*f - 93. Let x(q) = 14*q + 62. Let o(h) = 5*v(h) + 8*x(h). List the prime factors of o(p). 163 Suppose 10*a - 9 = -59. List the prime factors of (a/((-30)/219))/(6/252). 3, 7, 73 Suppose -680*q + 66708 = -671*q. What are the prime factors of q? 2, 17, 109 Let l = 15 - 10. Let g = -459 - -442. What are the prime factors of (3 + -3)/l - g? 17 What are the prime factors of (28/(-13) - (-44)/286) + 9112? 2, 5, 911 Suppose -71*m + 28106 = -70*m - 5*w, 3*w = 3*m - 84234. What are the prime factors of m? 3, 3119 List the prime factors of (-30 - -23) + (-149786)/(-14). 2, 3, 11 Let i be 2/(-34) + (-468)/(-153). Let c(o) = 65*o**2 + 29*o - 80. What are the prime factors of c(i)? 2, 37 Suppose 5*j = -3*m + 73, 44 = 3*m + j - 9. Suppose -4*y = -4*d - 5*y + 2656, -m
{ "pile_set_name": "DM Mathematics" }
**2 - 6*g + 1. Let m be q(-7). Let u(d) = 3*d. Let o = -24978 - -24961. Determine m*r(z) + o*u(z). 9*z Let m(f) = 63*f - 5. Let s(x) = 725*x - 58. Suppose -4*u - 286 = -5*v, -146*v + 148*v + 2*u = 118. Determine v*m(i) - 5*s(i). 29*i Let t(q) = -q**2 - q + 1. Let b be 207*-1 + 13/(312/48). Let j(z) = 41*z**3 + 205*z**2 + 205*z - 205. Determine b*t(f) - j(f). -41*f**3 Let h(n) = 7*n**2 - 6*n + 19. Let b(f) be the third derivative of f**5/4 - 13*f**4/24 + 19*f**3/3 + 740*f**2. What is -6*b(m) + 13*h(m)? m**2 + 19 Let o(p) = 93*p**3 - 21*p**2 - 13*p - 96. Let j(g) = 31*g**3 - 6*g**2 - 4*g - 33. Give 7*j(m) - 2*o(m). 31*m**3 - 2*m - 39 Let k(l) = -l**3 + 194*l**2 - 5*l + 8. Let i(f) = -2*f**3 + 386*f**2 - 10*f + 14. Calculate 4*i(c) - 7*k(c). -c**3 + 186*c**2 - 5*c Let m(s) = 222*s + 11. Let a(l) = 17*l + 1. Give -4*a(u) + m(u). 154*u + 7 Let n(g) = -73*g + 2. Let f(t) = -2628*t + 73. Suppose 0 = -86*d + 6838 - 6666. Determine d*f(a) - 73*n(a). 73*a Let f(q) = 4*q**3 + 7*q**2 - 2*q + 2. Let i(g) = 9*g**3 - 2334*g**2 + 1174*g**2 + 5 + 1174*g**2 - 4*g. Determine 5*f(o) - 2*i(o). 2*o**3 + 7*o**2 - 2*o Let m(y) = 5*y + 16 - 11 + 4*y - 3*y. Let b(d) = -2*d - 2. Let h = 2165 + -2168. Calculate h*m(r) - 8*b(r). -2*r + 1 Let x(j) = -18*j + 9. Let u(y) = 9*y - 5. Let t = -1223 + 1229. Give t*x(a) + 11*u(a). -9*a - 1 Let l be 6 + (-3*2 - (12 - (-15 + 26))). Let q(p) = 3*p**3 - 2*p**2 + 2*p + 5. Let z(h) = -h**3 - 1. What is l*q(t) - 6*z(t)? 3*t**3 + 2*t**2 - 2*t + 1 Suppose -3977 + 3261 = 358*r. Let u(l) = 5*l - 1. Let z(s) = -2*s + 7. Let n(h) = -h + 4. Let b(a) = 5*n(a) - 3*z(a). Calculate r*u(t) + 4*b(t). -6*t - 2 Let c(p) = -p**2 + 14*p - 25. Let o(q) = q**2 - 6*q + 13. Determine 3*c(r) + 5*o(r). 2*r**2 + 12*r - 10 Let j be ((-12)/14)/(1/(-7)). Let d = 1593 - 2607. Let r = d - -1015. Let b(x) = -1. Let p(t) = -t**2 + 6. Calculate j*b(o) + r*p(o). -o**2 Let s(q) = 4 - 18 + 7 + 6. Let p(h) = -7*h + 25. Let b(m) = -3*m + 12. Let t(n) = 5*b(n) - 2*p(n). What is -18*s(v) - 2*t(v)? 2*v - 2 Let f(d) = 11*d**3 - 15*d**2 + 50*d - 10. Let o(w) = -w**3 - 8*w + 1. Calculate f(u) + 8*o(u). 3*u**3 - 15*u**2 - 14*u - 2 Let z(n) = -n**2 - 13*n - 4. Let a be z(-13). Let j(q) = -31*q**2 - 9 + 34*q**2 + 14 - 3*q + 4*q. Let w(o) = 3*o**2 + o + 6. What is a*j(k) + 3*w(k)? -3*k**2 - k - 2 Let w(h) = -h - 2*h**2 + 6*h + 4*h**3 - 5*h. Suppose -9*n + 2*n + 42 = 0. Suppose -4*v = 3*i + i, -2*i + n = 5*v. Let z(l) = -l**3 + l**2. Give v*z(j) + w(j). 2*j**3 Let a(n) = -13*n - 12 - 1 + 12. Let j(s) = s + 7*s + 1 - s. Let l(t) = -6*a(t) - 11*j(t). Let f(i) = -1. Give -3*f(u) + l(u). u - 2 Let t(a) = -2*a**3 + 699*a**2 + 12*a - 3. Let x(v) = 2*v**3 - 691*v**2 - 15*v + 2. Calculate 5*t(b) + 4*x(b). -2*b**3 + 731*b**2 - 7 Let g(u) be the first derivative of 3 - u + 1/2*u**2. Let j = 346 + -347. Let b(p) = -p**2 + 3*p - 3. Determine j*b(k) + 3*g(k). k**2 Let q(z) = z**2 - z - 4. Let m(s) = 28 - 49 + 2*s + 28 - 9*s**2 + 13. Let i(u) = -10*u**2 + u + 19. Let p(t) = -3*i(t) + 4*m(t). Calculate -6*p(g) - 34*q(g). 2*g**2 + 4*g - 2 Let k(m) = -10*m**2 + m - 1. Suppose -795 = -3*l - 3*u - 753, 2*l - 35 = -3*u. Let y = -5 + 3. Let b(i) = -3*i**2. Calculate l*b(f) + y*k(f). -f**2 - 2*f + 2 Let a(p) be the first derivative of -3*p**2/2 + 2*p + 565. Let o(k) = -2*k + 1. Let f = -7 + 10. Give f*a(z) - 5*o(z). z + 1 Let v(u) = 11*u - 64. Let x(p) = 19 + 0*p + 33 + 23 - 4*p - 54. Give 6*v(g) + 17*x(g). -2*g - 27 Let j(c) = 13*c**2 - 4*c + 7. Let o(i) be the third derivative of 19*i**5/60 - i**4/4 + 11*i**3/6 + 4624*i**2 - 2*i. Determine -8*j(h) + 5*o(h). -9*h**2 + 2*h - 1 Suppose 6*z + 143 + 333 = -11*z. Let x(r) = -6*r**3 - 7*r**2 - 7*r - 7. Let p(h) = -h**2 - h - 1. Give z*p(g) + 4*x(g). -24*g**3 Let m(a) = -a**3 + a**2 - a. Let l = 3 + -1. Let d(s) = -218*s**3 + 4*s**l + 216*s**3 - 1 + 1 - 3*s. Let k be 26/(-143) + 26/22. What is k*d(c) - 4*m(c)? 2*c**3 + c Let h(r) = -49*r + 174 + 23*r - 189 + 25*r. Let g(o) = o + 8. Suppose 0 = 4*w + 282 - 238. Calculate w*g(a) - 6*h(a). -5*a + 2 Let u(v) = 5*v**2 - 261. Let o(z) = 4*z**2 - 269. Determine 9*o(k) - 8*u(k). -4*k**2 - 333 Let a(m) = -16*m**3 + 6*m**2 + 5*m - 17. Let s(k) = 32*k**3 - 12*k**2 - 8*k + 35. Calculate -5*a(x) - 3*s(x). -16*x**3 + 6*x**2 - x - 20 Let n(x) = -9*x**2 + 44*x + 1257. Let t(o) = -2*o**2 + 9*o + 251. Calculate -4*n(a) + 19*t(a). -2*a**2 - 5*a - 259 Let i(k) be the second derivative of 0*k**2 - 1/6*k**3 + 0 + k. Let c(g) = g**3 + 2*g**2 - 7*g. Suppose -574 = 1136*s - 1177*s. What is s*i(r) - 2*c(r)? -2*r**3 - 4*r**2 Let r(k) = -1451*k**2 - 2*k - 2. Let v(n) = -88519*n**2 - 123*n - 123. Calculate 246*r(b) - 4*v(b). -2870*b**2 Let h(u) = u**2 + u. Let f be (-20)/30*(-6)/4. Let g be (-1 + -2)*2/(f - 3). Let a be g + -5 + -2*(-9)/6. Let k(d) = 4*d**2 + 8*d. What is a*k(l) - 8*h(l)? -4*l**2 Suppose 8 = -f + 3*i, -4*i = 19*f - 15*f. Let w(g) = 40*g**2. Let v(a) = a**2. Give f*w(z) + 60*v(z). -20*z**2 Let i be 14/8*768/448. Let u(l) = -l - 7. Let w be u(-10). Let y(t) = -w*t**3 + 3 - 4*t + 2 - 6 - 1. Let a(j) = -4*j**3 - 5*j - 3. What is i*y(c) - 2*a(c)? -c**3 - 2*c Let u(o) = o + 1. Let g(n) be the second derivative of -2*n**3/3 - n + 4249. Determine g(p) + 3*u(p). -p + 3 Let x(z) be the second derivative of -z - 3*z**2 - 1/6*z**3 + 0. Let o = -512268 + 512272. Let i(f) = -f + 1. Determine o*i(v) + x(v). -5*v - 2 Let k(w) = 357*w + 49. Let l(h) = -12*h + 1. Give k(s) + 28*l(s). 21*s + 77 Let o(k) = -k + 926. Let f(j) = j + 956. Determine 2*f(q) - 3*o(q). 5*q - 866 Let q(l) = 48*l**3 + 7*l**2 + l + 1. Let j(x) = -44*x**3 - 6*x**2 - x - 2. What is 4*j(t) + 3*q(t)? -32*t**3 - 3*t**2 - t - 5 Suppose 48*o + 31 = 32 - 145. Let b(u) = u**3 + 3*u**2 + 15. Let d(m) = m**2 + 7. Determine o*b(z) + 7*d(z). -3*z**3 - 2*z**2 + 4 Let a(n) = 2*n + 1. Let v(o) = -2*o**2 + 4*o + 208. Give -a(m) + v(m). -2*m**2 + 2*m + 207 Suppose -3*g = 6 - 18. Suppose -3*d - 1 = 2*y, -g*y + 2 = 2*d - 0. Let j(t) = -t**2 - t - 1. Let h(o) = 2*o**2 + 3*o + 5. Determine d*h(u) - 5*j(u). 3*u**2 + 2*u Let z(v) = -32*v**2 + 359*v - 55. Let b(t) = -17*t**2 + 178*t - 29. Determine -17*b(q) + 9*z(q). q**2 + 205*q - 2 Let o(f) = -9*f**2 - 3*f - 8. Let h(d) = 8*d**2 + 2*d + 7. Let x(n) = -3*h(n) - 2*o(n). Let c be 1/6 - 133/6. Let m(w) = -w**2 - 1. Give c*m(u) + 4*x(u). -2*u**2 + 2 Let s(u) = -u**2 + 3*u. Let x(y) = -2*y**2 + 5*y. Suppose 3 + 12 = 3*h. Suppose -2*a = 0, -4*k = -5*k - 4*a - h. Let i = -6 + 9. Give i*x(m) + k*s(m). -m**2 Let f(g) = -g**2 + 4*g + 1. Let y(s) = -7403*s**2 + 21536*s + 5384. What is 5384*f(h) - y(h)? 2019*h**2 Let n(q) = -19*q - 4. Let c(d) be the second derivative of 19*d**3/6 + 3*d**2/2 + 2857*d. Determine 6*c(x) + 5*n(x). 19*x - 2 Let h(p) = 43*p**3 - 6*p - 6. Let o(g) = 1850*g**3 - 259*g - 259. Suppose -1319 = 5*y - 4*s, -524 = 2*y + 21*s - 22*s. Determine y*h(t) + 6*o(t). -37*t**3 Let w(k) = -9*k**3 + 13*k**2 - k. Let j be (858/(-330))/(2/10). Let d(c) = 4*c**3 - 6*c**2 + c. Determine j*d(r) - 6*w(r). 2*r**3 - 7*r Let x(m) = 34*m**2 - 18*m + 71. Let s(y) = 32*y**2 - 26*y + 71. What is 2*s(j) - 3*x(j)? -38*j**2 + 2*j - 71 Let j(k) = -k. Let g = -1190 + 1196. Let r(l) = -4*l + 8. Calculate g*j(b) - r(b). -2*b - 8 Suppose 96 + 133 = -198*p - 167. Let d(m) = 41*m**2 - 2*m - 1. Let g(z) = z**2 + z. Determine p*g(w) - d(w). -43*w**2 + 1 Let p(m) be the second derivative of -m**4/3 + 2*m**2 - 5*m. Let d(a) = a**3 - a**2 + 1. Let g = 5 + 0. Suppose 10*u = g*u - 20. What is u*d(j) + p(j)? -4*j**3 Let y(z) = 4*z**2 - 8*z - 6. Let w(m) = 3*m**2 - 7*m - 5. Let i = 1269 + -1275. Determine i*w(x) + 5*y(x). 2*x**2 + 2*x Let x(o) = -52*o**3 + 15*o**2 + 88*o + 6. Let c(s) = 28*s**3 - 8*s**2 - 44*s - 3. What is -11*c(l) - 6*x(l)? 4*l**3 - 2*l**2 - 44*l - 3 Let v(p) = -p**2 - 3*p. Let a(k) = 6*k**3 + 1286*k**2 + 15*k. What is a(g) + 5*v(g)? 6*g**3 + 1281*g**2 Let q(x) = -11438173*x. Let g(o) = 5403*o. Calculate 10586*g(f) + 5*q(f). 5293*f Let z(c) = -8*c**2 + 18*c + 4112. Let k(b) = 42*b**2 - 96*b - 20558. Give 3*k(y) + 16*z(y). -2*y**2 + 4118 Let d(i) = -2*i. Let s(t) = 3*t - 1. Let a(u) = -5*d(u) - 4*s(u). Let v(z) be the first derivative of 1 - z - 11 + 4 + 2. What is -a(g) - 3*v(g)? 2*g - 1 Let n(f) = 9*f**2 + f - 36*f**2 + 0*f + 26*f**2. Let i(v) = -3*v**
{ "pile_set_name": "DM Mathematics" }
23. Put b, -6, 10, 4 in ascending order. -6, 4, b, 10 Suppose 22*t - 147 = 169*t. Put 1, 5, -6, -3, t in decreasing order. 5, 1, t, -3, -6 Let y = -1387/5500 + 3/1375. Put -4/5, 4, 2/7, -0.189, y in increasing order. -4/5, y, -0.189, 2/7, 4 Let r = 7615 - 7617. Sort r, 0, 179 in descending order. 179, 0, r Let a = 232 + -233. Put -4, 14, 0, a, -21 in descending order. 14, 0, a, -4, -21 Let z = 108.37 - 1.37. Let u = 108 - z. Put -0.036, u, -2/5 in increasing order. -2/5, -0.036, u Let w = -1/16 - -43/176. Let k = -21.45 - -21. Let d = 0.05 + k. Sort w, d, -3/7. -3/7, d, w Let v = -2087701/12988 + -30/3247. Let l = v - -160. Sort -2, -1.6, l. -2, -1.6, l Let g = 3050 - 3050.5. Sort -90/7, 0, -1, 1, g. -90/7, -1, g, 0, 1 Let a = 6 - -7. Let p = 1264086 - 1264081. Put 2, p, a in descending order. a, p, 2 Let b = 0.6 + -0.1. Let t = 290.81106 + -0.72106. Let a = t - 290. Sort a, 2/17, 3, b in ascending order. a, 2/17, b, 3 Let h = -206.9 + 192.9. Put -1, h, -74 in increasing order. -74, h, -1 Suppose 3879*i = 3864*i. Put -2, i, 4, 2, -20 in descending order. 4, 2, i, -2, -20 Suppose -r = -2, -20*n - 38 = -22*n - 3*r. Suppose 397*t - n = 405*t. Sort -6, -3, t, 4 in descending order. 4, t, -3, -6 Suppose 2*r + r + 9 = 0. Suppose -k - 4*b - 56 = 0, 3*k - 2*k = 2*b - 44. Let j be (3/(-3))/(6/k*-4). Sort j, 3, 1, r in ascending order. r, j, 1, 3 Let i = 0.361 - 67.161. Let l = i - -64.8. Put 0.1, -1, 2, l in descending order. 2, 0.1, -1, l Let x be (-370)/(-25) - (1 + (-6)/5). Let n be 3/x*1 + 840/50. Sort 6, -2, -5, n in ascending order. -5, -2, 6, n Let z = -4024 + 4282. Sort 4, -1/4, z in increasing order. -1/4, 4, z Let b(p) = p + 2. Let s be b(-6). Let q = -11/868 - -673/1736. Sort s, -0.1, q, 82 in decreasing order. 82, q, -0.1, s Let y be -6 + 47*(8 + -2). Let d = y + -277. Put d, -5, -2 in ascending order. -5, -2, d Suppose 30*k = 6*k - 24. Let q(t) = -t**3 + 3*t**2 + 7*t + 3. Let p be q(k). Sort -2, 4, 5, p in ascending order. -2, p, 4, 5 Suppose 4*t - q + 1 = -211, -5*q - 236 = 4*t. Let f be (32/144)/(1/t*-3). Let s = 123/2 - 67. Put s, 5, -4/3, f in increasing order. s, -4/3, f, 5 Let z = -5366 - -5370. Sort z, 6, -1/8 in descending order. 6, z, -1/8 Let b be ((-8)/(-8))/((-1)/(-224)). Suppose -4*p = 4*p - b. Let r be 21/(-105) + p/(-10). Put 7, r, 3 in increasing order. r, 3, 7 Let a be ((-380)/(-152))/((-5)/(-12)). Let y be (-32)/(-6) + (-1)/3. Sort y, 8, a. y, a, 8 Let k = -174 - -178. Let x be ((-6)/(-4))/(k/8). Sort 2, x, -4 in descending order. x, 2, -4 Let o = 0.33 - 0.03. Let d = 0.2 - o. Let i(q) = q**2 - 103*q + 2575. Let m be i(43). Sort d, m, -3, -2/5 in decreasing order. d, -2/5, -3, m Suppose -87232*v = -87266*v - 170. Let i(z) = z**2 - 5*z. Let y(l) = l**2 - 5*l + 5. Let p be y(5). Let x be i(p). Put -4, 41, v, x in ascending order. v, -4, x, 41 Let i = 27.137 - 0.137. Let a = -28.57 + -0.43. Let p = a + i. Put -3, -1, 0.2, p in descending order. 0.2, -1, p, -3 Let m = -6 - -10. Suppose -69 = -6*t + 3. Suppose 12*k + 3*q + t = 17*k, -4*k = 7*q + 28. Sort m, k, 3 in decreasing order. m, 3, k Suppose -324*z - 92 = -664*z + 432*z. Sort -25, z, 4/17. -25, z, 4/17 Let h = -2.6 + -10.4. Let w = 0.13222 + -0.53222. Sort -3, h, w, 0 in descending order. 0, w, -3, h Suppose -36*n - 25 = -31*n. Let b(k) = -k**2 + 6*k + 4. Let y be b(6). Let o = -7 - -12. Sort n, o, -2, y in increasing order. n, -2, y, o Let r(b) = -15*b - 11. Suppose -25*j + 31*j = -12. Let z be r(j). Let o be z/(-95) + 16/30 + -2. Put o, 5, 1 in increasing order. o, 1, 5 Suppose -8*v + 34 = -12*v + 5*t, 5*v = 2*t - 17. Put v, 49, 1, 2, 10 in descending order. 49, 10, 2, 1, v Let h(b) = -4*b + 45. Let w be h(11). Let a be (w - 1) + (-27)/9. Put 34, 4, a in descending order. 34, 4, a Suppose -7*h + 2*h = -10. Suppose 17 = 5*i + h*g, i + 3*i + 5*g = 0. Let o = -43891 - -43891. Sort i, o, -17 in decreasing order. i, o, -17 Let l(f) = -2*f**2 + 19*f + 14. Let x be l(10). Let y be 70/(-49) + x/(-7). Put y, 2/3, -8, 0.1 in descending order. 2/3, 0.1, y, -8 Suppose z = -5*p + 67, -4*z - 56 + 288 = 2*p. Suppose 5*w = -3*a - z, 11*w - 5*a - 2 = 9*w. Put -1, w, -4 in decreasing order. -1, -4, w Let w = 345.8 - 345.761. Sort -4/5, 0.3, 3, w, 5 in descending order. 5, 3, 0.3, w, -4/5 Let q = -3821 - -3836. Sort -3, q, 7 in descending order. q, 7, -3 Let v = -7.61 + 7.5544. Let h = -3.9444 + v. Put -263, -2/3, 2/5, h in increasing order. -263, h, -2/3, 2/5 Suppose 0 = -2*q, -8*q - 316 = -4*d - 7*q. Sort 51, d, -2. -2, 51, d Let r(i) = 15*i - 274. Let h be 68 + -55 - (-6 + (3 - 2)). Let t be r(h). Sort 87, 2, -5, t. -5, t, 2, 87 Let m = 6/311 + -772/7775. Let k be ((-68)/42 + (-16)/(-56))/(58236/3798). Sort m, k, 0.5. k, m, 0.5 Let a = 26167 + -26169. Sort a, -1/12, -117 in ascending order. -117, a, -1/12 Suppose 8*d - 54 = -19*d. Let r(t) = -t**2 + 5*t + 1. Let y be r(6). Sort d, y, -2. y, -2, d Suppose 12*o = 9*o, -6*l + 4*o - 12 = 5*o. Let b be -1*((-7)/(-1) + -2). Sort -4, l, b in decreasing order. l, -4, b Let k(d) = -d**2 - 87*d - 263. Let a be k(-3). Put a, 5, 2 in descending order. 5, 2, a Suppose -3*w + 15 = 0, -39 = 3*i - 5*w - 14. Let h(r) = -r**2 - 9*r + 31. Let q be h(-12). Put -2, q, 2, i in ascending order. q, -2, i, 2 Let m = 21421.5 - 21421. Sort 0.4, -0.06, 12, m, -2. -2, -0.06, 0.4, m, 12 Suppose 9*f + 144 = -2*b + 5*f, 0 = -3*f + 12. Let r = b + 72. Put r, -2, 2 in ascending order. r, -2, 2 Let t = 7608 + -7602. Sort t, -5/2, 7 in descending order. 7, t, -5/2 Let j(v) = v - 9. Let h be j(9). Let l(m) = -21*m**2 - 505*m - 20. Let x be l(-24). Suppose -5*s + 9*s - x = h. Sort 2, -8, s, -0.4 in descending order. 2, s, -0.4, -8 Let p(y) = y**3 - 8*y**2 + 5. Let n be p(8). Suppose 0 = -3*b + 22 - 13. Suppose -b*w = 2*w + 10. Sort -4, w, n in descending order. n, w, -4 Let j(y) = 2*y + 30. Let h be j(-6). Let m = 262 + -261. Let r(s) = -s - 1. Let k be r(4). Sort m, k, h. k, m, h Let q = 4833.93 - 4837.93. Suppose 0*k = 4*h - 5*k + 17, 5*h + 4*k = 30. Let l = 11 + -21/2. Sort -1/4, h, q, l in decreasing order. h, l, -1/4, q Let o = 4201 - 4194.939. Let m = o - 0.061. Sort 1, -1/4, m, 3 in decreasing order. m, 3, 1, -1/4 Let o be (18/8)/(-3) + (-195)/(-52). Let z be o + (14/4 - 12/(-24)). Let y be (34 - z)*(-1 + 0). Put 0, 3, -1, y in decreasing order. 3, 0, -1, y Let a(i) = 7*i + 41. Let f(g) = 6*g + 37. Let y(q) = 2*a(q) - 3*f(q). Let r be y(-2). Put -4, r, 0 in descending order. 0, -4, r Let x = 4 + -6. Let i(j) = j**3 - 49*j**2 - 148*j + 30. Let w be i(52). Let n = 446 - w. Put x, 2, n in decreasing order. 2, n, x Let u = 35 - 37. Let k = 444.6 - 444.7. Put k, -9, u in ascending order. -9, u, k Let u = -421.9 - -421.5. Put 2, 1/5, -2/9, u, -0.3 in increasing order. u, -0.3, -2/9, 1/5, 2 Suppose 306*j = 213*j - 465. Put j, -110, 35 in ascending order. -110, j, 35 Let j(t) = -t**3 - 26*t**2 + 66*t + 281. Let n be j(-28). Put n, -11, 3, -6 in decreasing order. 3, n, -6, -11 Let f = -2198 - -2387. Sort f, 1, 2/17, 1/8, -0.1 in ascending order. -0.1, 2/17, 1/8, 1, f Let b = -11.566 + 11.266. Put b, -12, -5, 6/7, -4 in increasing order. -12, -5, -4, b, 6/7 Let p = 1.0583 - 40.0583. Sort p, 1/3, -1 in descending order. 1/3, -1, p Let w be (-2 - -2 - -1)*0. Sort 22, w, -3. -3, w, 22 Suppose 3*r + 27 = -3*s, 0 = 192*s - 194*s - 12. Sort 4, 5, 60, r, -5. -5, r, 4, 5, 60 Let n(h) be the third derivative of h**4/12 + h**3/6 + h**2. Let r be n(1). Suppose -261*d - 24 = 263*d - 530*d. Sort r, d, 5 in ascending order. r, d, 5 Let z be (342/(-48) - -7) + 11/88. Sort -2, -32, 2, z, -9 in ascending order. -32, -9, -2, z, 2 Let c(s) = -2 - 20 + 29 + 55 + 12 - 14*s. Let g be c(5). Sort -15/8, -0.3, g in decreasing order. g, -0.3, -15/8 Let s be ((-2)/4)/((-255)/306). Put 1, -6, s, -8, 0 in increasing order. -8, -6, 0, s, 1 Let z(x) = -x**2 - 20*x + 1311. Let j be z(-46). Put 2, 1, j in increasing order. 1, 2, j Let m = 0.121 - -9.779. Let i = 33.52 - 33.62. Put m, 0.1, i in increasing order. i, 0.1, m Let f(l) = -637*l - 22933. Let m be f(-36). Let w be -2*(15/6 + -1). Sort m, 1, w, 4 in descending order. 4, 1, m, w Let b = 1.122 + -1.24. Let m = b - -0.018. Sort 2/11, 5/4, -5, m in decreasing order. 5/4, 2/11, m, -5 Suppose -2 + 11 = f. Suppose -f = 5*i + 6. Let t be 10/(-2) - 9/
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from wwowwawwd. Give prob of sequence daw. 1/84 Two letters picked without replacement from ijztiwd. What is prob of sequence dz? 1/42 Three letters picked without replacement from scqqcqchzbchcbhszc. Give prob of sequence hch. 1/136 What is prob of sequence gc when two letters picked without replacement from hccggcc? 4/21 Four letters picked without replacement from ooobbboooobobbooobo. What is prob of sequence bbbo? 35/1292 Calculate prob of sequence nxxq when four letters picked without replacement from {y: 7, k: 1, n: 3, b: 2, q: 1, x: 4}. 1/2040 Three letters picked without replacement from hrrkrkkrrrrkrrroorr. Give prob of sequence hor. 4/969 Three letters picked without replacement from {f: 15, r: 4}. Give prob of sequence frr. 10/323 What is prob of sequence zzz when three letters picked without replacement from xxzxxxxxxzxxx? 0 Three letters picked without replacement from lfxxl. What is prob of sequence xlf? 1/15 What is prob of sequence oqqs when four letters picked without replacement from qssssaooaoaaqoa? 4/4095 Two letters picked without replacement from yhfhfhwwhhyh. What is prob of sequence yf? 1/33 Two letters picked without replacement from fslyylyylylylslysalf. Give prob of sequence fs. 3/190 Calculate prob of sequence lx when two letters picked without replacement from {h: 2, l: 1, s: 1, f: 1, t: 1, x: 1}. 1/42 Two letters picked without replacement from dkddzkkzddkk. Give prob of sequence dd. 5/33 What is prob of sequence nk when two letters picked without replacement from bnwnk? 1/10 What is prob of sequence zgg when three letters picked without replacement from gzogg? 1/10 What is prob of sequence ffo when three letters picked without replacement from {o: 2, f: 2}? 1/6 Four letters picked without replacement from {x: 1, g: 11, y: 4, d: 1, u: 1}. Give prob of sequence xuxd. 0 Calculate prob of sequence jsj when three letters picked without replacement from {s: 1, j: 4, x: 1, q: 3, k: 2}. 2/165 Three letters picked without replacement from nnzwzzenzwj. Give prob of sequence zzw. 4/165 What is prob of sequence ayk when three letters picked without replacement from {h: 5, k: 1, y: 9, u: 1, a: 4}? 1/190 What is prob of sequence dddt when four letters picked without replacement from {d: 7, t: 3}? 1/8 Four letters picked without replacement from bbbbbbbwbbww. What is prob of sequence bbbb? 14/55 What is prob of sequence mr when two letters picked without replacement from {m: 1, r: 2}? 1/3 Three letters picked without replacement from {x: 1, h: 2, l: 4, w: 2}. Give prob of sequence hlx. 1/63 What is prob of sequence jp when two letters picked without replacement from dggggjpggggggd? 1/182 Two letters picked without replacement from zzzmzszzzmmms. What is prob of sequence zs? 7/78 Calculate prob of sequence tgg when three letters picked without replacement from {k: 4, g: 2, s: 4, a: 4, t: 6}. 1/570 Four letters picked without replacement from vidmhxv. What is prob of sequence ivmv? 1/420 What is prob of sequence eee when three letters picked without replacement from {e: 5}? 1 Three letters picked without replacement from {l: 1, a: 3, e: 1, j: 9}. What is prob of sequence jaa? 9/364 What is prob of sequence uf when two letters picked without replacement from {w: 1, t: 2, p: 2, u: 1, f: 1}? 1/42 Four letters picked without replacement from ivsxsls. What is prob of sequence isvs? 1/140 Calculate prob of sequence nncm when four letters picked without replacement from {u: 1, m: 1, c: 4, n: 4}. 1/105 What is prob of sequence uv when two letters picked without replacement from {t: 1, v: 1, y: 1, f: 2, u: 1, r: 1}? 1/42 Calculate prob of sequence us when two letters picked without replacement from {u: 1, m: 1, k: 1, g: 1, s: 1}. 1/20 Calculate prob of sequence zv when two letters picked without replacement from szlhhwhhvssh. 1/132 Calculate prob of sequence ii when two letters picked without replacement from kfficifici. 2/15 Two letters picked without replacement from iwiwiww. Give prob of sequence iw. 2/7 Calculate prob of sequence loi when three letters picked without replacement from {o: 2, r: 1, l: 1, i: 1}. 1/30 Calculate prob of sequence fwmz when four letters picked without replacement from wzsmmzyzfzfwzmm. 2/819 Two letters picked without replacement from hkhykyyohynvhhy. Give prob of sequence kk. 1/105 What is prob of sequence jk when two letters picked without replacement from sqjqjjkjx? 1/18 Calculate prob of sequence de when two letters picked without replacement from {e: 5, d: 8}. 10/39 What is prob of sequence jjrr when four letters picked without replacement from {r: 3, j: 2}? 1/10 Three letters picked without replacement from {j: 7, h: 2, b: 2}. Give prob of sequence bjh. 14/495 Three letters picked without replacement from bvikliwkkib. What is prob of sequence ili? 1/165 Two letters picked without replacement from {o: 2, p: 6, s: 3, x: 2, v: 3, k: 2}. Give prob of sequence xv. 1/51 Three letters picked without replacement from {y: 3, t: 2, h: 4}. Give prob of sequence hyt. 1/21 Calculate prob of sequence pr when two letters picked without replacement from {u: 3, p: 1, o: 1, r: 1, m: 1}. 1/42 Two letters picked without replacement from nnnnnnnncnnnnnnnnn. What is prob of sequence cn? 1/18 Two letters picked without replacement from zzzzzzzzzziz. What is prob of sequence zi? 1/12 Two letters picked without replacement from {b: 2, k: 2, l: 6, u: 2, q: 1, e: 4}. Give prob of sequence qe. 1/68 Two letters picked without replacement from zqzq. What is prob of sequence qq? 1/6 Two letters picked without replacement from {m: 5, h: 3, n: 3, y: 6, q: 1, e: 2}. Give prob of sequence eh. 3/190 Calculate prob of sequence wwu when three letters picked without replacement from {w: 3, z: 2, o: 1, u: 2, b: 2, f: 2}. 1/110 Two letters picked without replacement from cbbccccccccccccccccb. Give prob of sequence bb. 3/190 Calculate prob of sequence pdte when four letters picked without replacement from oodtedootdpb. 1/1980 Two letters picked without replacement from {d: 2, i: 4, k: 2, m: 2, a: 1, v: 3}. Give prob of sequence va. 3/182 Two letters picked without replacement from ohftpaafh. What is prob of sequence oo? 0 Two letters picked without replacement from zbbvlfkz. What is prob of sequence zl? 1/28 Four letters picked without replacement from eeeeff. Give prob of sequence feef. 1/15 What is prob of sequence mmms when four letters picked without replacement from sssdddddmmdddddssmm? 5/3876 Four letters picked without replacement from kfkkkkkkfkk. Give prob of sequence ffkk. 1/55 Four letters picked without replacement from {n: 6, l: 9, e: 4}. What is prob of sequence nell? 6/323 What is prob of sequence bkyu when four letters picked without replacement from kykkykuynbu? 1/330 Three letters picked without replacement from nffpnpffqfrqqq. Give prob of sequence fnq. 5/273 Four letters picked without replacement from cccccccddccccd. What is prob of sequence cddd? 1/364 Four letters picked without replacement from pipiqq. Give prob of sequence pqii. 1/45 What is prob of sequence ixl when three letters picked without replacement from ilix? 1/12 Calculate prob of sequence mcmz when four letters picked without replacement from {n: 1, z: 7, m: 4, l: 1, c: 1, t: 4}. 7/6120 Three letters picked without replacement from {q: 1, d: 7, v: 6, n: 3}. Give prob of sequence ndv. 21/680 What is prob of sequence tvtt when four letters picked without replacement from tvtvvvvvvvtvvvtvvt? 13/1224 Calculate prob of sequence sdps when four letters picked without replacement from {s: 3, l: 1, p: 1, d: 2, w: 3, j: 2}. 1/990 Four letters picked without replacement from bnbggngbbgbnbggnbbb. What is prob of sequence bbbb? 21/646 Two letters picked without replacement from kvbvkkbvkkkv. Give prob of sequence vk. 2/11 Two letters picked without replacement from {m: 4, w: 3, k: 1, h: 4, s: 2, a: 3}. Give prob of sequence wm. 3/68 Two letters picked without replacement from huhuuhciuhuhhuhhu. What is prob of sequence ci? 1/272 Two letters picked without replacement from {w: 3, q: 1, x: 6, k: 3}. What is prob of sequence qx? 1/26 Two letters picked without replacement from ffsissd. What is prob of sequence sd? 1/14 Calculate prob of se
{ "pile_set_name": "DM Mathematics" }
of 128101409? 17, 103, 149, 491 List the prime factors of 1706860878. 2, 3, 281, 1012373 What are the prime factors of 201286737? 3, 97, 2377 List the prime factors of 131228644. 2, 17, 83, 23251 What are the prime factors of 4573457457? 3, 101, 15093919 What are the prime factors of 53707008? 2, 3, 69931 List the prime factors of 106171541. 7, 859, 17657 What are the prime factors of 942657736? 2, 117832217 What are the prime factors of 329555547? 3, 4068587 What are the prime factors of 2175082762? 2, 229, 863, 5503 List the prime factors of 192624809. 13, 14817293 List the prime factors of 21978254. 2, 10989127 What are the prime factors of 84210994? 2, 7, 1663, 3617 List the prime factors of 3649325553. 3, 17, 73, 326737 What are the prime factors of 1603892980? 2, 5, 19, 4220771 What are the prime factors of 5770973? 13, 17, 26113 List the prime factors of 3403471912. 2, 47, 9051787 List the prime factors of 93844375. 5, 150151 What are the prime factors of 104523553? 5813, 17981 What are the prime factors of 169978031? 9403, 18077 What are the prime factors of 1363024397? 7, 194717771 List the prime factors of 1474496909. 29, 83, 89, 6883 What are the prime factors of 78872893? 11, 7170263 What are the prime factors of 7853712079? 47, 167100257 What are the prime factors of 4759409189? 4759409189 List the prime factors of 2185773738. 2, 3, 73, 79, 181, 349 List the prime factors of 1263302223. 3, 53, 89, 89273 List the prime factors of 23195603. 1483, 15641 What are the prime factors of 493048461? 3, 19, 8649973 What are the prime factors of 107976442? 2, 7, 7712603 List the prime factors of 369861806. 2, 31, 149, 40037 What are the prime factors of 230608820? 2, 5, 13, 587, 1511 List the prime factors of 888313192. 2, 13, 8541473 List the prime factors of 704823664. 2, 43, 853, 1201 What are the prime factors of 251302618? 2, 7, 17950187 List the prime factors of 71066013. 3, 23688671 What are the prime factors of 68787546? 2, 3, 239, 47969 What are the prime factors of 54997031? 41, 181, 7411 What are the prime factors of 610038369? 3, 61, 1111181 List the prime factors of 97181771. 79, 307, 4007 What are the prime factors of 68073301? 68073301 What are the prime factors of 35930598? 2, 3, 11, 544403 What are the prime factors of 22504284? 2, 3, 11, 19, 997 List the prime factors of 1110136979. 7, 59, 2687983 What are the prime factors of 397840572? 2, 3, 563, 727 List the prime factors of 69897143. 19, 3678797 List the prime factors of 7700610584. 2, 29, 71, 467497 List the prime factors of 38502329. 43, 419, 2137 What are the prime factors of 173995230? 2, 3, 5, 23, 461, 547 What are the prime factors of 278326154? 2, 139163077 What are the prime factors of 154189641? 3, 859, 59833 List the prime factors of 2981390042. 2, 23, 1163, 2423 List the prime factors of 37996683. 3, 17, 745033 What are the prime factors of 5781207811? 5781207811 What are the prime factors of 119916978? 2, 3, 541, 36943 What are the prime factors of 513465618? 2, 3, 101, 547, 1549 List the prime factors of 279605794. 2, 13, 151, 229, 311 What are the prime factors of 168834745? 5, 1801, 18749 List the prime factors of 44487820. 2, 5, 13, 397, 431 What are the prime factors of 609458856? 2, 3, 181, 307, 457 What are the prime factors of 2202323? 193, 11411 What are the prime factors of 618488813? 41, 15085093 What are the prime factors of 2710959477? 3, 903653159 List the prime factors of 1741608530. 2, 5, 23, 7572211 What are the prime factors of 2219731103? 41, 54139783 What are the prime factors of 264840062? 2, 7993, 16567 List the prime factors of 38155939. 17, 631, 3557 List the prime factors of 2355238763. 191, 12331093 What are the prime factors of 329393903? 173, 1904011 What are the prime factors of 106195958? 2, 11, 181, 26669 What are the prime factors of 2817083359? 73, 683, 56501 What are the prime factors of 1898743334? 2, 23, 41277029 List the prime factors of 174382551. 3, 7, 19, 16187 List the prime factors of 74128109. 11, 17, 36037 What are the prime factors of 30765360? 2, 3, 5, 128189 List the prime factors of 3650322. 2, 3, 13, 53, 883 What are the prime factors of 1512756228? 2, 3, 31, 233, 563 List the prime factors of 496075614. 2, 3, 82679269 What are the prime factors of 2393575852? 2, 223, 2683381 What are the prime factors of 59916750? 2, 3, 5, 79889 What are the prime factors of 1962882677? 7, 280411811 What are the prime factors of 609843105? 3, 5, 587, 23087 What are the prime factors of 48764912? 2, 7, 435401 List the prime factors of 394118152. 2, 49264769 What are the prime factors of 105771682? 2, 61, 71, 12211 List the prime factors of 99609382. 2, 499, 99809 List the prime factors of 113522901. 3, 37840967 What are the prime factors of 14644964? 2, 239, 15319 What are the prime factors of 110571126? 2, 3, 109, 169069 List the prime factors of 15703987. 13, 43, 2161 What are the prime factors of 59750198? 2, 67, 127, 3511 What are the prime factors of 23972958? 2, 3, 17, 157, 499 List the prime factors of 280752607. 19, 53, 278801 List the prime factors of 48335025. 3, 5, 29, 71, 313 List the prime factors of 5527731931. 3719, 1486349 What are the prime factors of 71564153? 373, 191861 List the prime factors of 162594074. 2, 81297037 List the prime factors of 5946781761. 3, 2239, 295111 List the prime factors of 2079403492. 2, 31, 2381, 7043 What are the prime factors of 88023077? 83, 1060519 What are the prime factors of 1135381477? 307, 3698311 List the prime factors of 272567637. 3, 149, 439, 463 What are the prime factors of 19187499? 3, 6395833 List the prime factors of 401130212. 2, 7, 23, 487, 1279 List the prime factors of 32846504. 2, 1973, 2081 List the prime factors of 83499461. 17, 31, 158443 List the prime factors of 200706563. 71, 2826853 What are the prime factors of 755352104? 2, 13, 43, 67, 2521 List the prime factors of 848086303. 5569, 152287 What are the prime factors of 11624122? 2, 2273, 2557 List the prime factors of 871069566. 2, 3, 131, 199, 5569 What are the prime factors of 37194499? 53, 701783 List the prime factors of 3357320792. 2, 7, 59952157 List the prime factors of 159774947. 159774947 What are the prime factors of 4290875555? 5, 858175111 List the prime factors of 1093133032. 2, 37, 457, 8081 What are the prime factors of 44717406? 2, 3, 7452901 List the prime factors of 148350433. 7, 11, 337, 5717 List the prime factors of 744415683. 3, 11, 22558051 What are the prime factors of 1993734863? 4153, 480071 List the prime factors of 278219101. 53, 5249417 List the prime factors of 1056067406. 2, 6451, 81853 What are the prime factors of 3325664975? 5, 79, 883, 1907 What are the prime factors of 35567358? 2, 3, 5927893 List the prime factors of 169912752. 2, 3, 3539849 List the prime factors of 18241369. 23, 793103 List the prime factors of 267640234. 2, 1531, 87407 List the prime factors of 106599832. 2, 173, 77023 What are the prime factors of 1236064787? 103, 12000629 List the prime factors of 499918193. 317, 431, 3659 List the prime factors of 54714673. 13, 4208821 What are the prime factors of 389919528? 2, 3, 43, 41981 List the prime factors of 78089139. 3, 83, 104537 List the prime factors of 8279452. 2, 71, 29153 What are the prime factors of 9496562? 2, 23, 206447 What are the prime factors of 180027337? 7, 19, 283, 4783 What are the prime factors of 67996198? 2, 1087, 31277 What are the prime factors of 1228491750? 2, 3, 5, 1193, 1373 List the prime factors of 479361469. 19, 23, 223, 4919 What are the prime factors of 7543896731? 7, 151, 7137083 List the prime factors of 207635128. 2, 29, 463, 1933 What are the prime factors of 72249853? 13, 2087, 2663 List the prime factors of 598013095. 5, 31, 1097, 3517 List the prime factors of 49704855. 3, 5, 17, 19, 10259 List the prime factors of 215060563. 19, 61, 185557 What are the prime factors of 66963485? 5, 47, 67, 4253 List the prime factors of 61012210. 2, 5, 7, 67, 13009 List the prime factors of 207722629. 61, 3405289 What are the prime factors of 49943512? 2, 127, 49157 What are the prime factors of 97155313? 97155313 What are the prime factors of 74280176? 2, 1181, 3931 List the prime factors of 223612667. 443, 653, 773 Lis
{ "pile_set_name": "DM Mathematics" }
= j**2 + 3*j. Calculate the remainder when b(r) is divided by h. 8 Let q be 8/(60/(-27) - -2). What is the remainder when 23 is divided by ((-4)/(-6))/((-2)/q)? 11 Calculate the remainder when 3 - (2/3)/((-18)/189) is divided by 3. 1 Let h = -30 + 42. Suppose 0 = -4*j + 81 + 151. Calculate the remainder when j is divided by h. 10 Let o = 123 - 113. Suppose v + v - 70 = 5*p, 2*p + 5*v + 57 = 0. Let u = 2 - p. Calculate the remainder when u is divided by o. 8 Suppose 4*p + 5*v - v = 100, -2*p + v + 50 = 0. What is the remainder when p is divided by 6? 1 Suppose -5*l = 5*q - 40, -4*q - 3 = -l - 15. What is the remainder when -2 + (0 - -1) - -15 is divided by q? 2 Suppose -h - 2*g + 51 = 0, -5*h + 105 = -2*g - 150. What is the remainder when 152 is divided by h? 50 Suppose 3*c + d - 93 + 23 = 0, -5*c + 114 = d. Calculate the remainder when 108 is divided by c. 20 Let v = 5 + -3. Suppose 0 = -2*n - 2*n + 4, -3*p + 134 = v*n. Calculate the remainder when p is divided by (1*-2)/((-4)/30). 14 Let d = 24 - 21. Suppose -1 = f, -6*p = -2*p - d*f - 119. Calculate the remainder when p is divided by 16. 13 What is the remainder when (-2 - (-130)/6) + 5/15 is divided by 15? 5 Suppose 2*g + 60 = 4*g. Suppose 28 = h - g. Let s = 51 + -36. What is the remainder when h is divided by s? 13 Let z = -23 + 37. What is the remainder when 39 is divided by z? 11 Let v = 3 + -1. Suppose 0 = 3*i + i - 16, -28 = -v*r - 5*i. What is the remainder when 7 is divided by r? 3 Let n = 19 - 11. What is the remainder when 12 is divided by n? 4 Let b = -1 - -1. What is the remainder when 25 is divided by 4 + (1 - b) + 2? 4 Let z(v) = -2*v**3 - 35*v**2 - 16*v + 40. Calculate the remainder when 80 is divided by z(-17). 11 Calculate the remainder when -3 - 16/(-1)*6 is divided by 24. 21 Let n be 504/81 - (-4)/(-18). Suppose -34 - 9 = -4*y - 5*z, -z = 2*y - 17. Calculate the remainder when y is divided by 2/((-2)/n*-2). 1 Suppose 3*m - 2*u - 3*u + 14 = 0, 5*m + 5*u = 30. What is the remainder when 0 + 1/m*6 is divided by (-1)/(-1 - (-3)/6)? 1 Suppose b = -3*c + 73, 2*b - 2*c = -6*c + 146. Calculate the remainder when b is divided by 15. 13 Let a(i) = -i**3 + 9*i**2 - 9*i + 6. Let u be a(6). Suppose 0 = 7*j - 3*j - u. Calculate the remainder when 44 is divided by j. 14 Suppose 0 = 23*u - u - 1012. Let j(i) = -6*i - 6. What is the remainder when u is divided by j(-5)? 22 Suppose 762 = 7*y - 1534. What is the remainder when y is divided by 30? 28 Let s(f) = f**3 - 8*f**2 + 7*f + 13. What is the remainder when 24 is divided by s(7)? 11 Suppose 0 = 2*r + 2*r + 5*j - 65, -j = 2*r - 31. What is the remainder when (-128)/(-6)*r/10 is divided by 11? 10 Let r be (-7)/5 - (-12)/30. Let l be r/((-2)/8*1). Suppose 0 = l*y + 3*h - 138, -1 = -3*y - 2*h + 103. What is the remainder when y is divided by 13? 10 What is the remainder when -1 + 0 - (-59 - -1) is divided by 15? 12 Let f(m) = -3*m + 7. Calculate the remainder when f(-7) is divided by 10. 8 Let w = 0 + 1. Suppose 8 = 3*i - w. Suppose f = -3*v + 54, -v - i*f - 3 = -21. Calculate the remainder when v is divided by 10. 8 Let p(x) = 5 - 2 - 4*x + 6*x - 2. Let a be p(1). Suppose -a*q = q - 20. What is the remainder when 12 is divided by q? 2 Let m(r) = 15*r**2 + 2*r + 3. What is the remainder when m(2) is divided by 23? 21 Let a be (-34)/(-6)*(-1 + 4). Let t be (7 - 1)*(a - 1). Let i = t + -59. Calculate the remainder when i is divided by 13. 11 Calculate the remainder when (-35)/(-7)*(-2)/(-2) is divided by 2. 1 Let q = -350 + 520. Calculate the remainder when q is divided by 43. 41 Let r be (6/8)/(2/8). Suppose -a - a + 3*y = 2, 0 = -3*a + 3*y. What is the remainder when (r/(-6))/1*-6 is divided by a? 1 Let y(j) = -j**3 - 6*j**2 - 5*j - 7. Let z be y(-6). Suppose -4*m + 25 = -z. What is the remainder when m is divided by (2 + -3)/(1/(-7))? 5 Let b = 16 + -38. Let a = b + 36. Suppose -5*c = -91 - a. Calculate the remainder when 40 is divided by c. 19 Let h = 168 + -131. What is the remainder when 143 is divided by h? 32 Suppose -217 = 3*j - 10*j. What is the remainder when 91 is divided by j? 29 Suppose 0 = 2*t + 5*w + 29, -2*w - 6 - 10 = 3*t. Let i(p) = p**2 + 8*p + 15. What is the remainder when ((-8)/t)/((-2)/(-4)) is divided by i(-6)? 2 Suppose c - y = y + 19, 3*c - 39 = -3*y. Suppose -4*b + t + 15 = 0, -14*b - 3*t - 17 = -19*b. Calculate the remainder when c is divided by b. 3 Let k = 22 + -9. What is the remainder when 24 is divided by k? 11 Let d be 12/(-42) + 30/7. Suppose d = z + 2. Let y = 4 - z. Calculate the remainder when 4 is divided by y. 0 Suppose -2*i + 3 = 1. Let q(g) = 21*g**3 - g + 1. Let s be q(i). Calculate the remainder when s/1 + 8/(-4) is divided by 7. 5 Suppose -2*v - 301 = -3*y + 3*v, 3*v - 411 = -4*y. Calculate the remainder when y is divided by 21. 18 Suppose -2*u + 65 = 3*u. What is the remainder when 38 is divided by u? 12 Suppose 0 = -2*a - 3*a + 35. Let k(m) = -m**3 + 8*m**2 - 8*m + 8. What is the remainder when 2 is divided by k(a)? 0 Suppose -3*n + 2*n = 59. Let m = -25 - n. Let z = 59 - m. What is the remainder when z is divided by 9? 7 Let r = 23 - 8. Suppose 4*s = 5*u + 39, -3*u - r = 2*u. Suppose 2*g + 12 = 32. What is the remainder when g is divided by s? 4 Suppose -8 = 8*n - 9*n. Calculate the remainder when n is divided by 3. 2 Let s(j) = -18*j + 8. Let q be s(-4). Let g = q - 49. What is the remainder when g is divided by 11? 9 Let a(x) = x**3 - 11*x**2 + 4*x. Calculate the remainder when a(11) is divided by 15. 14 Let a = 29 - 24. What is the remainder when 7 is divided by a? 2 Suppose 0 = -2*k - 5*o - 1 + 14, -3*o - 51 = -3*k. What is the remainder when 39 is divided by k? 11 Suppose -132 = 4*n + w, 6*w - w + 132 = -4*n. What is the remainder when 460/11 - 6/n is divided by 15? 12 Suppose 0*f = -5*f - 5. What is the remainder when 99 is divided by 13 - ((-3 - 0) + f)? 14 Suppose 4 = 3*i - i. Suppose 7 = i*g - 49. Let n(w) = -w**2 - 11*w + 5. What is the remainder when g is divided by n(-10)? 13 Suppose -65 = 8*t - 217. What is the remainder when 73 is divided by t? 16 Suppose -11 = 5*x - 136. What is the remainder when x is divided by (-2)/(-5)*(-1 + 36)? 11 Let s(x) = 4*x**3 - 8*x**2 + 3*x - 2. Calculate the remainder when 85 is divided by s(3). 42 Let o(d) = 2*d**3 + d + 2. Calculate the remainder when 78 is divided by o(2). 18 Calculate the remainder when (-8)/(-1) + (-21)/(-7) is divided by 2. 1 Let w(s) = s**3 - 5*s**2 - 9*s + 25. What is the remainder when 18 is divided by w(6)? 4 Let f(h) = h + 11. Let v be 4/(-6) + 10/15. Suppose 5*p + 36 = b, 4*b - 2*p - 75 = -5*p. What is the remainder when b is divided by f(v)? 10 Let l = 4 + 15. What is the remainder when l is divided by 7? 5 Suppose 3*s = 4*s - 7. Suppose 5*p - 30 = -5*t, 0*p - 4 = p - t. Let f = s + p. What is the remainder when f is divided by 5? 3 Suppose 31 = 3*x - 77. Suppose f = 2*k - 35, 5*k - 68 = -3*f + x. Calculate the remainder when 37 is divided by k. 18 Let x be 10/(((-2)/(-3))/1). Suppose -x = 4*w + 3*n, 0 = -2*w - 0*n + 3*n + 15. Let y(g) = g + 7. Calculate the remainder when 20 is divided by y(w). 6 Let n = 12 - 10. Suppose -3*c = n*c - 40. Let w(t) = 10*t + 2. Calculate the remainder when w(2) is divided by c. 6 Let d(a) = -12*a + 35. Let t(x) = -3*x + 9. Let o(y) = -2*d(y) + 9*t(y). Let j = -1 + 13. What is the remainder when o(-8) is divided by j? 11 Let d(t) = t**2 + 3*t - 1. Let y be d(-5). Suppose -6*r - y = -7*r. Calculate the remainder when 3 is divided by r + -4 - (1 + 2). 1 Suppose -3*i = -5*x + 2*x - 177, 25 = -5*x. Calculate the remainder when i is divided by 14. 12 Let r = -861 + 1329. What is the remainder when (-8)/28 - r/(-21) is divided by 6? 4 Suppose 4*g + 16 = 0, 14 - 54 = -4*u - 5*g. Suppose 7*v = 4*v + u. Calculate the remainder when (-3)/((-3)/(-7))*-2 is divided by v. 4 Let k(m) = m - 6. Let j be k(7). Suppose -3*s = -5 - j. Calculate the remainder when s is divided by 2. 0 Let s = 2 - 1. Let m(p) = 5*p**2 - p. Let c = -9 + 15. Calculate the remainder when c is divided by m(s). 2 Suppose -2*n = -6*n + 28. Calculate the remainder when 18 is divided by n. 4 Suppose 0 = 5*l - p + 6*p - 30, -3*l = -2*p - 23. What is the remainder when l is divided by 4? 3 Let j(f) = -f**3 + 12*f**2 + f - 6. Calcul
{ "pile_set_name": "DM Mathematics" }
(0*l - 3*l + 4*l). 8*l Expand -2*o**5 + 3*o**5 - 2*o**5 + (2*o - o + 3*o)*(2*o**4 - 3*o**4 + 5*o**4 + 0*o**4 + 3*o**4 - 2*o**4 + (-6*o**4 + 2*o**4 + 2*o**4)*(-2 - 4 + 4)). 35*o**5 Expand (-3*x + 3*x + 2*x)*(x - x + 3*x - 18*x - 2*x - 17*x + (2*x + 0*x - x)*(3 + 1 - 3)). -66*x**2 Expand -7*o**4 + 2*o**4 + o**4 + (3*o**3 - 5*o**3 + 3*o**3)*(-163*o + 137*o + 97*o) - 2*o**4 - o**4 + 4*o**4. 68*o**4 Expand (6*x - 3*x - 53917 + 53983 + 6*x - 2*x - 2*x + (-5 + 5 - 2)*(x + x + 0*x))*(3*x - 4*x - x). -2*x**2 - 132*x Expand (1 - 1 - 2)*(-636*s + 257*s - 567*s + 223*s). 1446*s Expand (8*j**4 + 26*j**4 - 83*j**4)*(0 - 3 - 1). 196*j**4 Expand (-371*u**2 - 245*u**2 - 193*u**2)*(0 + u + 0). -809*u**3 Expand (5*t**2 + 5*t**2 - 6*t**2)*((-1 + 1 + 2*t)*(10*t + 11 - 11) + 4*t**2 - 5*t**2 + 2*t**2). 84*t**4 Expand (-6*t**2 + 3*t**2 + 5*t**2)*(-14 - 20 + 37)*(8 - 8 - 3*t). -18*t**3 Expand 5*k**5 - 6*k**5 + 8*k**5 + 0*k**5 - k**5 + 4*k**5 + (k**3 - k**3 + k**3 + (-4*k + 5*k - 3*k)*(-3*k**2 + 0*k**2 + 4*k**2))*(-k**2 + 5*k**2 - 2*k**2). 8*k**5 Expand (30*p**4 - 21*p**4 + 5*p**4)*(-7 + 2*p + 7) + 2*p**5 - p**5 - 2*p**5. 27*p**5 Expand (-2116*i**3 + 24*i**4 + 2116*i**3)*(3 + 3 - 3). 72*i**4 Expand 3*t**3 - 3*t**3 + t**3 + (-33*t**3 - 3*t**3 + 2*t - 4*t)*(4 - 5 + 2). -35*t**3 - 2*t Expand ((-3 - 2 + 3)*(-2 - a + 2) + 7*a - 3*a - 2*a + (49*a - 18*a - 13*a)*(-7 + 3 + 2))*(0 + 0 - 2*a**3) + (2 - 3 - 2)*(-1 + 1 - a**4). 67*a**4 Expand 82*k + 87*k - 18*k - 3 + 3 + k + (4 - 3 - 2)*(2*k - 5*k + 5*k) + 4 - k - 4. 149*k Expand (0*j + 0*j - 2*j)*(-15 - 46 - 6*j + 47). 12*j**2 + 28*j Expand (160*f**2 + 168*f**2 + 3*f**2)*(2 + 1 + 0)*(4*f - 2*f - f). 993*f**3 Expand -1 + 1 - 4*y + 151 + 33*y - 151 + (6 - 4*y - 6)*(1 + 3 - 3). 25*y Expand 0*n + 0*n + n**5 + (0 + 0 - n**2)*(-6 + 6 + 13)*(n**3 - n**3 - 3*n**3 + (1 - 2 + 3)*(-3*n**3 - 2*n**3 + 3*n**3) + 4*n**3 + 3*n**3 - 5*n**3). 66*n**5 Expand (-3*u + 18*u + 7*u)*(3*u**4 - 2*u**4 - 3*u**4). -44*u**5 Expand (4 - 872*n**2 + 0 + 2*n + 870*n**2)*(4*n - n**2 - 4*n). 2*n**4 - 2*n**3 - 4*n**2 Expand (-4*i + i + 2*i)*(i + 0*i - 1215 + 1197). -i**2 + 18*i Expand -1 - f**2 - f - 2*f - f**2 + (3 + 0 - 4)*(-9*f**2 + 9*f**2 + 8*f**2). -10*f**2 - 3*f - 1 Expand (-o + o - 2*o)*(1 + 10 - 15)*((-1 - 1 + 0)*(-3 + 1 + 0) - 6 + 1 - 1 + 14 + 15 - 15). 96*o Expand (z**4 - 3*z**4 + z**4)*((z - z + z)*(5 - 2 - 1) + 4*z - 3*z + 2*z + 994*z - 557*z - 609*z). 167*z**5 Expand (42 - 42 - 17*p**2)*(-2*p**2 + 2*p**2 + 2*p**2) + 2*p**4 + p**4 - p**4 + (-2*p**3 + 3 - 3)*(4*p - 4*p + 5*p). -42*p**4 Expand -f**3 - 2*f**4 + f**3 + (-f + 3*f + 0*f)*(-f + f**3 + f) + 4*f**4 - 7*f**4 + 21*f**4. 18*f**4 Expand 19*q - 51 + 51 + (-2*q + 3*q - 3*q)*(0 - 3 + 1) + 5 + q - 5. 24*q Expand -4*w**5 + 0 + 0 + (-w**2 - 2*w**2 + 2*w**2)*(w**3 - 4*w**3 + w**3) + 2*w**5 + 0*w**3 + 0*w**3 + 2*w**5 + 2*w**5 - 3*w**5 - 6 + 0 + 21*w**5 + 7. 22*w**5 + 1 Expand (2 + 1 - 2)*(5 - 4 - 2)*(8*n - n + n)*(29 + 13*n - 29). -104*n**2 Expand -126*g**5 + 296*g**5 - 36*g**5 + (-4*g + g**3 + 4*g)*(5*g**2 - 2*g**2 - 2*g**2). 135*g**5 Expand (-219*c + 411*c - 212*c - 2*c**2)*(-3*c + 4*c - 2*c). 2*c**3 + 20*c**2 Expand (-3 - 5 + 3)*(5 + 4*q - 5)*(7 - 8*q - 7). 160*q**2 Expand -2*d + d - 9*d + (-3 + 1 + 4)*(7*d - 3*d - 3*d) - 5*d - 3*d + 5*d. -11*d Expand -7 - 8*g**2 + 7 + (-1 + 1 + 2)*(-7*g**2 + 3*g**2 + g**2) + (2 - 5 + 4)*(-g**2 + g**2 + 2*g**2) + 5*g**2 - 4*g**2 + g**2. -10*g**2 Expand (1 - 1 + 2)*(2*z + z - 2*z) + 0*z + 3*z - 7 + z. 6*z - 7 Expand (321*s - 601*s + 343*s)*(-1 - 1 - 1). -189*s Expand (-93*n + 30*n - 22*n)*(5*n**2 + 0*n**2 - 2*n**2). -255*n**3 Expand (81*w**2 + 1615*w - 1616*w + 43*w**2)*(-3*w - w**2 + 3*w) - 2*w**3 + 2*w**3 + 2*w**4. -122*w**4 + w**3 Expand (11*d + 0*d + 0*d)*((3 + 1 - 6)*(2*d - 3*d + 0*d) + 2*d + 4 - 4 + 5*d - d - 5*d). 33*d**2 Expand 3*x**4 - 2*x**4 - x**3 - 4*x + 7*x + (-4 - 5 + 4)*(-4*x**3 - 2*x**4 + 4*x**3). 11*x**4 - x**3 + 3*x Expand 2*u - 3*u + 2*u + 1 - 1 - u - 3*u - 2*u + 3*u + 0*u + 4*u - 3*u + (1 + 4 - 3)*(u + u + 0*u) - u + 4*u - 2*u + 9*u - 1 - 186*u + 33*u. -140*u - 1 Expand (9 - 9 + 7*x)*(2 - 1 + 0)*(80*x - 170*x + 63*x). -189*x**2 Expand (2*c - 1 + 1)*(-11 + 2 + 0) + (4*c + 0*c - c)*(4 - 3 - 7). -36*c Expand ((1 - 3 + 4)*(4*d - d - 5*d) + 2*d - d - 2*d - 103 - 10*d + 103)*(d**2 - 3*d**2 - d**2). 45*d**3 Expand (4*g + 6*g - 3*g)*(-9*g**3 + 9*g**3 + 4*g**4) + 2*g**5 + 2*g**2 - 2*g**2. 30*g**5 Expand 378*m**3 - 1532*m + 1532*m + 2*m**2 - 2*m**2 + m**3 + (0 + 2*m + 0)*(5 - 2*m**2 - 5) + (-2*m + 6*m - 2*m)*(0*m - m**2 + 0*m). 373*m**3 Expand (-14*m**2 + 4*m - 4*m)*(1 + 2 - 4 - 2 + 0 + 1 + 0 + 4 - 2 + (2 + 1 - 2)*(1 - 1 + 2) + 0 - 3 + 4 - 1 + 6 - 6). -28*m**2 Expand -d**4 - 2*d + 2*d + (4 - 4 + 2*d)*(2 - d**3 - 2) + d**4 - 2*d**4 + 0*d**4 + 5*d**4 + 9*d**4 - 7*d**4 - 14*d**3 + 4*d**4 - d + 14*d**3. 7*d**4 - d Expand (m - 3 + 3)*(-3*m + 5 - 5 + (2 - 4 - 1)*(-4*m + 2*m + 0*m) - 36 + 36 + m). 4*m**2 Expand (3*o**2 + 0*o**2 - 4*o**2)*(138*o - 55*o - 30*o)*(0*o + o - 3*o). 106*o**4 Expand (0*q - 3*q + 5*q)*((3 - 3 - 3)*(-2 + 0 + 3) - 4 + 2 + 0)*(2*q - 2*q + 5*q). -50*q**2 Expand (6*a + 2*a - 3*a)*(3 - 4 - 3)*(-4*a**3 + 2*a**3 - a**3). 60*a**4 Expand (-3828*p + 2*p**2 - 3825*p - 200*p**3 + 7652*p)*(1 + 0 - 5). 800*p**3 - 8*p**2 + 4*p Expand -2*k + k - 4*k + (2*k - 4*k + k)*(-7 + 1 - 10). 11*k Expand (3*s**2 + 4*s**2 - 5*s**2)*(-3*s**3 + 2*s**3 - 5*s**3) - 5*s**5 + 2*s**5 + s**5 + (s + 0*s - 3*s)*(3*s**4 - s**4 - s**4). -16*s**5 Expand (-61 + 21 + 28)*(-31*a**3 - 19*a**2 + 65*a**3 - 33*a**3 - 2*a). -12*a**3 + 228*a**2 + 24*a Expand (61 + 6*v - 5*v + v)*(3*v**3 - 5*v**3 + 4*v**3). 4*v**4 + 122*v**3 Expand v**4 + v**4 - 4*v**4 + (-3*v - v**2 + 3*v)*(-17 + 17 - 17*v**2). 15*v**4 Expand (-2*j + 0*j + 4*j)*(-j + 11 - 11)*(-9*j + 154 - 154). 18*j**3 Expand (-157 - 9*f**2 + 82 + 2*f**3 + 77)*(1 - 2*f - 1). -4*f**4 + 18*f**3 - 4*f Expand (1216*p - 24242 + 24242)*(2 + 2 - 2)*(2 + 2 - 3). 2432*p Expand -2*w**5 + 0*w**5 + 3*w**5 + (17 - 17 + w**3)*(-24 + 24 + w**2). 2*w**5 Expand (1 + 2 - 2)*(77*h - 37*h + 7 - 38*h)*(24*h - 3*h**2 - 24*h). -6*h**3 - 21*h**2 Expand -4 - t + 4 + (5*t - 6*t - t)*(9 + 2 - 1) + t - t - 2*t + 5 - 24*t + 12*t + 13*t. -22*t + 5 Expand (-9 + 9 - o)*(-14*o + 6*o - 15*o) - 2*o + 2*o - 2*o**2 + (-4*o - 8 + 8)*(-3*o + 0*o + o). 29*o**2 Expand -2*t**2 + 3*t**2 + 0*t**2 - 528 + 528 + 31*t**2 - 2*t**2 + 0*t**2 + t**2 + (-4*t + 2*t + 0*t)*(t - 3*t + 3*t) - 3*t**2 + t**2 + 0*t**2. 27*t**2 Expand (-1 + 5 - 1)*(-254 + 267*c - 538*c + 267*c). -12*c - 762 Expand (32*c**3 - 5*c**3 - 4*c**3)*(1 - 1 - 2) + 5*c**3 + 4*c**2 - 4*c**2. -41*c**3 Expand 2*k - 3*k - 2*k - 4*k + k + 4*k + (1 - 2 - 1)*(-3*k + 2*k + 0*k) - 14*k - 11*k - 3*k - 4*k + 0*k + 3*k - 3*k + 5*k + 0*k. -27*k Expand (-6*r**2 + 6*r**2 - 3*r**3)*(-11 + 11 + r - 3*r + 3*r - r + r + 5 - 5 - 2 + 2 - r + (0 - 4 + 2)*(0 - 2*r + 0) - 3*r + 3*r + r). -15*r**4 Expand (0*u**3 + u**3 + 2*u**3)*(4*u + 3*u + u) + 9 + 3*u - u**4 - 5 - u. 23*u**4 + 2*u + 4 Expand (-16*r**4 + 328 - 328)*(-2*r + 3*r - 4*r) - 2*r**5 + 4*r**5 - 4*r**5. 46*r**5 Expand 2*b**2 - 4*b**2 + 0*b**2 + (2 + 5 - 5)*(-2*b**2 - 7*b**2 - 2*b**2). -24*b**2 Expand ((-2*j + 2*j + 2*j)*(-3*j**2 + 6*j**2 - 2*j**2) - j + j - j**3)*(-20*j**2 - 16*j**2 + 34*j**2). -2*j**5 Expand (-1 + t + 1)*(-5*t - t - 2*t)*((3*t + t - t)*(-1 - 2*t + 1) - 2*t**2 + 4*t**2 - 4*t**2). 64*t**4 Expand j - j + j**2 + (2*j + j - j)*(-191*j - 172*j + 273*j). -179*j**2 Expand (-2*f + 0*f - 3*f)*(f + 4*f - 3*f + f - f - 3*f + (4 - 2 - 3)*(0*f + 4*f - 2*f) - 5*f + 2*f + f - f - 2*f + 5*f - 3*f + f + 4*f). 5*f**2 Expand (95589 - 694*l - 95589)*(1 - 1 - l)*(3*l + 0*l + 0*l). 2082*l**3 Expand (-l**3 + 0*l**3 - l**3)*(9*l + 14*l + 23*l) - 4*l**4 + 2*l**4 + l**4. -93*l**4 Expand (-2 + 3 + 4 + (5 - 3 - 4)*(-6 + 3 + 2) - 1 - 1 + 1)*(q - q + q + 1). 6*q + 6 Expand (0 - b**3 + 0)*(45*b - 96*b + 47*b + 107). 4*b**4 - 107*b**3 Expand ((-2*t + t - t)*(3*t - 4*t + 2*t) - 4*t + 4*t + 3*t**2)*(172*t**2 - 80*t**2 - 84*t**2). 8*t**4 Expand (-r + 0*r - 2*r + (2 + 3 - 1)*(5*r - 5*r + r))*(8*r**3 - 6*r**3 + 8*r**3). 10*r**4 Expand (k**5 - 3*k**5 + 3*k**5)*(3 - 2 + 0) + 33*k**5 + 49*k**5 + 2*k**5. 85*k**5 Expand (-2*q**2 + 3 - 3)*(1 + 10 - 3)*(2 + 0 - 8). 96*q**2 Expand (0 + 1 - 2)*(-214 + 55 + 32)*(-1 +
{ "pile_set_name": "DM Mathematics" }
Let j(l) be the third derivative of l**4/12 - 7*l**3/6 - 161*l**2. Let a(n) = 11*j(n) + 2*t(n). Determine a(2). 5 Let m(g) = 3*g - 10. Let r = 39 - 36. Suppose 2*b = -2*j + 8, -r*b - j = 2*b - 20. Give m(b). 2 Let y = -20763 - -20769. Let w(c) = 7 + 0*c - 1 - c. Calculate w(y). 0 Suppose -5*o = 16*u - 18*u - 13, u + 6 = 2*o. Let s(v) = 25*v**2 + 1 - 13*v**2 - 15*v**2. Determine s(o). -2 Let l(y) = y**2 + 285*y + 20295. Let o be l(-139). Let u(a) be the first derivative of 0*a**3 + 1 + 0*a**2 + 0*a - 9/4*a**4. Calculate u(o). -9 Let o(f) = f**2 + 9*f + 2. Let w be 47/1 - ((2 - 3) + -1). Suppose w = -7*l - 0*l. Determine o(l). -12 Let y(b) = -6*b**3 + 8*b**2 - 2*b + 11. Let l(q) = 23*q**3 - 32*q**2 + 9*q - 43. Let g(n) = 4*l(n) + 15*y(n). What is g(3)? -7 Let z(u) be the first derivative of -u**3/3 + u**2/2 + 9*u - 183. Calculate z(5). -11 Let g(j) = -3 - 14*j**3 + 11*j**3 + 6*j**3 + 11*j**2 + 2 - 10*j**2. Suppose 2*a - 6 = -2. Suppose -a = 4*y - 2*y. Determine g(y). -3 Suppose -22 = 102*s - 113*s. Let x be s - 3/4*8. Let z(u) = -2*u**2 + 3*u - 3. Calculate z(x). -47 Let o(t) = -t**2 - 9*t + 10. Let l(w) = 9*w**2 - 6*w + 11. Let c be l(2). Let m be (-1)/6 - (c/42 + 6). Give o(m). 24 Let j(n) = -5*n**3 + n**2 + 10*n - 6. Let o(m) = -6*m**3 + 2*m**2 + 10*m - 7. Let d(h) = 5*j(h) - 4*o(h). Give d(-5). -2 Let h(a) = -74*a - 320. Let m be h(-26). Let p(x) = 7 + x**3 + 1599*x - 13*x**2 - m*x + 8*x**2. Let z = 5 + 1. What is p(z)? 13 Let n = -236 - -545. Let q = n + -303. Let w(b) = -b**3 + 7*b**2 - 5*b - 3. What is w(q)? 3 Let h(v) = 53*v**2 + 137 + 4*v + 5*v**3 - v**3 - 60*v**2 - 114 - 3*v**3. Calculate h(6). 11 Let n be -10*36/75*(-20)/8. Let l(q) = 14*q**2 + 15*q + 11. Let c(a) = -11*a**2 - 14*a - 12. Let v(m) = -5*c(m) - 4*l(m). Give v(n). -8 Let w(q) = 9*q + 17*q - 17*q + 10 - q**2. Let h(a) = -7*a**2 + 434*a + 9. Let u be h(62). What is w(u)? 10 Suppose -2*p - 30 = -4*d, p - 55 = 3*d - 8*d. Let z be (-4)/(8/6) + d. Let t be ((-20)/28 - -1) + (-2)/z. Let v(l) = l + 6. What is v(t)? 6 Suppose -b - 6 = -4*b. Let r = 422 - 419. Suppose 5*c = r*w + b*c + 9, -4*w = 3*c + 40. Let p(a) = a**3 + 6*a**2 - 6*a + 4. Calculate p(w). -3 Let v = -225 + 232. Let q(l) = -2*l**2 - 2*l**2 + 5*l + 1 - v*l + 0*l**2. What is q(1)? -5 Suppose -45*b - 288 = -19*b - 54. Let n(r) = -r**3 - 8*r**2 + 6*r + 6. Give n(b). 33 Let c(i) = -2 + i**2 - 16 + 5 + 6. Suppose -4*x - 12 + 20 = n, 0 = -3*x + 6. What is c(n)? -7 Let q(m) = -2*m**2 + 15*m - 41. Let t be 64/10 - (-375)/625. What is q(t)? -34 Let c(m) be the second derivative of 4*m**3 - 99*m**2/2 + m + 781. What is c(6)? 45 Let c(f) = 117*f - 6. Let v(k) = -29*k. Let q(w) = c(w) + 4*v(w). Let g(m) = -m**2 - 5*m + 8. Let n be g(-7). What is q(n)? -12 Suppose -6*p - 382 = 50. Let a = -72 - p. Let l(h) = a - 152*h - h**3 + 73*h - 6 - 5*h**2 + 78*h. What is l(-5)? -1 Let c be (14*1/4)/((-446)/(-892)). Let t(j) = -18*j + 26. What is t(c)? -100 Let r(x) = 19*x**2 + 130*x - 15. Let z be r(-7). Let n(b) = b**3 - 7*b**2 + 19*b - 80. What is n(z)? -2 Let l be 2*(1*-3 + 0). Let v = -114 - -118. Let m(r) = -v + r**3 - 572*r**2 - 2*r - 5*r + 577*r**2 + 5. Give m(l). 7 Suppose 81*w = -2*w + 454 + 44. Let m(q) be the second derivative of -q**3/6 + 2*q**2 - 32*q. Determine m(w). -2 Suppose -3*a + p + 2285 = 0, 5*a + 2*p - 1518 = 3*a. Let x(h) = 762 - h + 9*h - a. What is x(2)? 17 Let h(d) be the second derivative of d**5/20 + d**4/2 - d**3/3 + 5*d**2/2 + 7705*d. Determine h(-4). 45 Suppose z + 144 = -0*z. Let r be (z/78 + 2/(-13))*2. Let a(b) be the first derivative of -b**4/4 - 5*b**3/3 - 2*b**2 - b + 33. Determine a(r). -1 Let g(l) = 6*l + 173. Suppose 12*s - 33*s - 588 = 0. Let p be g(s). Let h(a) be the second derivative of a**4/12 - a**3/2 + 7*a**2/2 - 3*a. Determine h(p). 17 Let w(s) = -3*s**3 - 5*s**2 + 2*s + 22. Let g(o) = -4*o**3 - 7*o**2 + 4*o + 29. Let z(f) = 10*g(f) - 13*w(f). What is z(-7)? 4 Let b(u) = -17*u**3 + 30*u**2 - 29*u + 11. Let o(r) = 25*r**3 - 29*r**2 + 28*r - 12. Let g(j) = 3*b(j) + 2*o(j). What is g(31)? 9 Let l be (-10)/3*48/(-80). Let i(w) = -8*w + 2*w**2 - 8*w**l + 8 + 6*w**2 - 12 - 2*w**2. Determine i(-5). -14 Let d(h) = -h**2 - 8*h - 16. Let g be d(-5). Let v(n) = 2*n**3 - 2*n**2 - n. Let z be v(g). Let m(j) = 3*j - 3. Calculate m(z). -12 Suppose -81*x - 2 = -85*x + 14. Let j(s) be the first derivative of 2*s**2 + 4*s + 14. Determine j(x). 20 Let p(h) = 6*h - 35 - 46 - 4 + 8. Let w be p(12). Let s(z) = -2*z - 6. Determine s(w). 4 Let i(h) = -9*h**3 + 17*h**2 - 32*h - 2. Let x(y) = -2*y**3 + 4*y**2 - 5*y - 1. Let v(t) = -i(t) + 5*x(t). Let f be 4 + 3 + -4 + 2. What is v(f)? -18 Let w(f) = -17*f - 2. Let n be w(2). Let q = n + 33. Let a(m) = -4*m**2 - 3*m. Let v(s) = 11*s**2 + 10*s + 1. Let c(l) = q*v(l) - 8*a(l). Give c(-4). 5 Let j(v) = -15*v**2 + 8*v + 7. Suppose -22 = -2*q - 4*u, -2*q + 5*u - 183 = -151. What is j(q)? -16 Let x(y) be the third derivative of y**5/120 + y**4/24 - 11*y**3/6 + 43*y**2 + 2*y. Let h(u) be the first derivative of x(u). Give h(4). 5 Let f(p) be the first derivative of -p**4/4 - p**3/3 + 3*p**2 - 3*p - 1558. Calculate f(3). -21 Let x(i) be the first derivative of -i**3/3 - 3*i**2 - 4. Let s = 142 + 57. Let g = s + -204. Calculate x(g). 5 Suppose -1110*m + 1090*m = -64 + 484. Let d(x) = x**3 + 23*x**2 + 41*x - 23. Give d(m). -2 Let z(v) be the first derivative of 35/2*v**2 + 1/20*v**5 + 0*v + 1/2*v**3 + 43 - 1/6*v**4. Let t(f) be the second derivative of z(f). Calculate t(3). 18 Let l(m) be the first derivative of 4*m**5/15 - m**4/24 + m**3/6 - 11*m**2 + 15. Let g(t) be the second derivative of l(t). Determine g(1). 16 Let p be (-375)/1000 + 5/(-8). Let d(v) = v**2 - 2. Let l(s) = -8*s**2 - 4*s + 7. Let w(k) = p*l(k) - 5*d(k). What is w(-2)? 7 Let m(t) = 4*t**2 + 2*t + 3. Let q(j) = 7*j**2 + 3*j + 5. Let r(v) = -5*m(v) + 3*q(v). Suppose 0 = -1335*g + 1344*g - 9. Calculate r(g). 0 Let z(p) be the first derivative of p**6/360 - 3*p**5/40 - p**4/6 - p**3/3 - 5*p + 50. Let m(n) be the third derivative of z(n). Give m(8). -12 Let w(z) be the first derivative of -z**4/4 + 10*z**3/3 - 7*z**2/2 - 19*z - 7936. What is w(9)? -1 Suppose -64 = -4*k + 2*f, -9*k + 4*k + 3*f = -78. Suppose -y + 15 = 4*w - 4*y, -w = 4*y - k. Let c(i) = -i**2 + 7*i + 3. Calculate c(w). 9 Let x(g) = 3*g - 11. Let z be 7/(-14)*1*0. Determine x(z). -11 Let r(c) = -7 + 5 + 19*c + 20*c - 44*c - 2*c**2. Calculate r(6). -104 Let f(m) = -6*m + 154. Suppose 682 - 276 = -32*j + 1206. What is f(j)? 4 Let z(l) be the first derivative of 7*l**2/2 + 137*l + 1821. Give z(-21). -10 Let m(s) be the first derivative of -s**6/360 + s**5/40 + s**4/24 + 83*s**3/3 + 56. Let l(p) be the third derivative of m(p). Determine l(3). 1 Let x(q) = 3*q**3 - 21*q**2 - 166*q + 4. Let d(g) = 2*g**3 - 14*g**2 - 118*g + 3. Let b(m) = 7*d(m) - 5*x(m). What is b(6)? 61 Let m be (0 - (-2)/(-4))*(66 - 72). Let t be m/(1/7*-1*-3). Let x(w) = -w**2 + 4*w + 9. Determine x(t). -12 Let q(l) be the third derivative of l**5/30 + l**4/6 + l**3/3 + l**2. Let c(d) = 23*d**3 + 69*d**2 + 3*d + 5. Let m be c(-3). What is q(m)? 18 Let i(a) = -a**3 - 27*a**2 - 6. Suppose 3*n = 2*t + 48, 15*n - 10*n + 118 = -4*t. What is i(t)? -6 Let o(z) be the second derivative of z**4/12 - z**3/3 + 2*z**2 - 298*z - 4. Calculate o(-4). 28 Let o(r) = -r**3 + 6*r**2 + 5*r + 21. Let j be o(6). Let s = j - 48. Suppose -s*m + 1 = -17. Let b(i) = i**3 - 5*i**2 - 5*i + 3. Calculate b(m). 9 Let j(d) = 0*d**3 - d**3 + 6 + 7*d + 3*d**2 - 6*d**2 - d**2. Let u be (7/((-98)/12))/((-16)/56). Suppose -23 = 3*n - 4*z, -3*n - z = -u*z + 19. Determine j(n). -4 Let u(q) = -q**3 + 32*q**2 - 2*q + 75. Let l be u(32). Let w(x) = 7*x - 73. Determine w(l). 4 Let r(b) = -b**2 - 197*b + 6808. Let y be r(30). Let n(j) = -1 - 3*j**2 + 2*j**2 - j + 0. What is n(y)? -3 Let i(s) = s**3 + 4*s**2 + 3*s + 15. Suppose -y + 3*n + 17 = 0, 2*y - 1770 + 1813 = -5*n. Give i(y). 3 Let w(n) = n**3 + 4*n**2 + 5*n + 4. Suppose 8*u = -50 + 1282. Let v = u - 157. Give w(v). -2 Let u(t) = -t + 1. Suppose 4*s - s + 3*m + 1338 = 0, s - 5*m = -434. Let b be s/84 - (-2)/7. Let o be b/10 - (-33)/(-6). Determine u(o). 7 Let x(j) = 9*j**3 + 13*j**2 - 3. Let c(s) = -7*s**3 - 11*s**2 - s + 3. Let h(y) = -4*c(y) - 3*x(y). Calculate h(
{ "pile_set_name": "DM Mathematics" }
s 65 divide 978? False Is 1452 a multiple of 66? True Does 38 divide 907? False Does 5 divide 670? True Is 34 a factor of 1428? True Is 75 a factor of 1954? False Is 1428 a multiple of 12? True Is 54 a factor of 718? False Is 1274 a multiple of 13? True Is 13 a factor of 31655? True Is 9 a factor of 684? True Is 22 a factor of 374? True Does 39 divide 20431? False Is 98 a factor of 392? True Is 13 a factor of 8778? False Is 61 a factor of 343? False Does 4 divide 116? True Is 7105 a multiple of 29? True Is 2937 a multiple of 10? False Is 330 a multiple of 6? True Is 3359 a multiple of 17? False Is 600 a multiple of 75? True Is 84 a multiple of 6? True Does 2 divide 198? True Does 7 divide 26? False Is 3 a factor of 99? True Is 9156 a multiple of 28? True Is 43445 a multiple of 27? False Does 35 divide 390? False Does 7 divide 5047? True Is 259 a multiple of 6? False Does 35 divide 350? True Is 13 a factor of 13? True Does 39 divide 681? False Is 102 a factor of 5965? False Does 75 divide 4981? False Is 312 a factor of 56749? False Does 10 divide 89470? True Does 7 divide 155? False Is 739 even? False Is 39 a factor of 20943? True Does 12 divide 758? False Is 12 a factor of 1700? False Is 38 a factor of 39976? True Is 47 a factor of 1927? True Is 116 a factor of 644? False Does 10 divide 1300? True Is 109994 a multiple of 86? True Is 1277 a multiple of 65? False Does 71 divide 8804? True Does 16 divide 453? False Is 38 a factor of 689? False Does 11 divide 2824? False Is 149 a multiple of 28? False Is 20 a factor of 257? False Does 38 divide 3879? False Is 1227 a multiple of 10? False Is 14 a factor of 672? True Is 5 a factor of 396? False Is 59 a factor of 43847? False Is 9287 a multiple of 14? False Is 708 a multiple of 12? True Is 54 a factor of 3619? False Does 61 divide 671? True Is 32390 a multiple of 205? True Does 3 divide 2458? False Is 33995 a multiple of 13? True Is 9841 a multiple of 10? False Does 11 divide 2717? True Does 44 divide 924? True Is 24 a factor of 1104? True Is 1024 a multiple of 2? True Does 52 divide 260? True Is 1400 a multiple of 14? True Is 493 a multiple of 17? True Is 33 a factor of 687? False Does 29 divide 5273? False Is 238 a multiple of 14? True Is 3717 a multiple of 21? True Is 857 a multiple of 3? False Does 31 divide 527? True Is 20808 a multiple of 36? True Does 10 divide 17657? False Does 32 divide 4256? True Does 20 divide 500? True Is 18 a factor of 11103? False Is 20512 a multiple of 14? False Is 29 a factor of 3045? True Does 10 divide 799? False Is 3 a factor of 744? True Does 36 divide 7546? False Is 1258 a multiple of 34? True Is 902 a multiple of 5? False Does 10 divide 4610? True Is 3355 a multiple of 6? False Is 135 a factor of 65587? False Is 1549 a multiple of 56? False Is 36 a factor of 1850? False Does 59 divide 1800? False Does 61 divide 4875? False Is 123 a multiple of 58? False Does 155 divide 4365? False Is 20 a factor of 8246? False Is 1938 a multiple of 38? True Is 7 a factor of 845? False Is 4 a factor of 14553? False Is 93 a factor of 168? False Is 93621 a multiple of 17? False Does 184 divide 43056? True Does 59 divide 3068? True Is 5025 a multiple of 25? True Is 199 a multiple of 14? False Does 38 divide 20432? False Is 69 a factor of 621? True Is 3744 a multiple of 52? True Is 19453 a multiple of 13? False Is 19450 a multiple of 11? False Is 47840 a multiple of 13? True Is 1485 a multiple of 119? False Is 2039 a multiple of 89? False Does 10 divide 160? True Is 56 a factor of 504? True Is 19 a factor of 12198? True Is 14126 a multiple of 121? False Is 26 a factor of 519? False Does 88 divide 968? True Is 5865 a multiple of 23? True Does 17 divide 3015? False Does 10 divide 1250? True Does 69 divide 1433? False Is 205 a multiple of 19? False Does 10 divide 1560? True Does 43 divide 13089? False Is 28 a factor of 728? True Is 2 a factor of 1717? False Is 22 a factor of 1256? False Is 162 a factor of 33308? False Does 76 divide 10336? True Does 85 divide 1190? True Is 27648 a multiple of 216? True Does 17 divide 335? False Is 7 a factor of 268? False Is 693 a multiple of 63? True Does 26 divide 468? True Is 15312 a multiple of 44? True Is 66290 a multiple of 31? False Is 10 a factor of 56? False Is 25 a factor of 375? True Does 36 divide 2162? False Is 54 a factor of 3834? True Does 27 divide 18423? False Is 31 a factor of 30969? True Does 83 divide 17830? False Is 11 a factor of 95625? False Does 33 divide 396? True Does 176 divide 704? True Does 11 divide 4906? True Does 45 divide 72636? False Is 609 a multiple of 29? True Does 6 divide 3902? False Is 70926 a multiple of 101? False Does 13 divide 22094? False Is 11 a factor of 1226? False Does 16 divide 1392? True Does 32 divide 9696? True Is 15 a factor of 765? True Does 17 divide 3892? False Is 11 a factor of 22440? True Does 48 divide 121920? True Is 117 a multiple of 11? False Is 2323 a multiple of 23? True Is 14 a factor of 31976? True Does 28 divide 121448? False Is 72 a multiple of 4? True Is 23936 a multiple of 34? True Is 36936 a multiple of 24? True Is 1760 a multiple of 55? True Is 504 a multiple of 13? False Is 4356 a multiple of 11? True Is 2976 a multiple of 12? True Does 134 divide 2214? False Is 98 a factor of 4606? True Is 74 a factor of 85120? False Is 12 a factor of 156? True Is 131 a multiple of 14? False Does 44 divide 472? False Is 10214 a multiple of 23? False Does 3 divide 8727? True Is 921 a multiple of 98? False Does 16 divide 48304? True Does 115 divide 18875? False Does 26 divide 19812? True Is 204 a factor of 38590? False Does 15 divide 4185? True Is 35954 a multiple of 25? False Does 99 divide 54054? True Is 5 a factor of 1995? True Is 33067 a multiple of 214? False Does 3 divide 30? True Is 113531 a multiple of 318? False Does 31 divide 615? False Is 41824 a multiple of 143? False Is 104 a factor of 13832? True Is 36 a factor of 21366? False Does 192 divide 17668? False Is 4290 a multiple of 11? True Is 816 a multiple of 17? True Does 88 divide 2816? True Is 2244 a multiple of 12? True Is 5069 a multiple of 42? False Is 8 a factor of 63416? True Is 10540 a multiple of 62? True Does 25 divide 90? False Does 24 divide 394? False Does 3 divide 7906? False Is 162 a factor of 3888? True Is 27 a factor of 553? False Does 69 divide 5414? False Is 48 a factor of 4518? False Is 9890 a multiple of 9? False Is 8805 a multiple of 15? True Is 126 a factor of 12415? False Is 3365 a multiple of 9? False Is 57 a factor of 145951? False Is 5 a factor of 274? False Is 7755 a multiple of 11? True Is 893 a multiple of 19? True Is 1462 a multiple of 34? True Is 17 a factor of 637? False Is 5490 a multiple of 18? True Is 2 a factor of 57? False Is 112 a factor of 102035? False Does 23 divide 1226? False Does 192 divide 51177? False Does 80 divide 2720? True Does 70 divide 2100? True Is 24 a factor of 26826? False Is 6 a factor of 57324? True Is 14 a factor of 416? False Is 49 a factor of 219? False Does 122 divide 5586? False Is 684 a multiple of 19? True Does 38 divide 7752? True Does 7 divide 322? True Is 4 a factor of 9291? False Is 26 a factor of 5179? False Does 59 divide 9517? False Is 90 a factor of 3749? False Is 266 a multiple of 2? True Is 495 a multiple of 11? True Is 34476 a multiple of 26? True Is 3 a factor of 1646? False Is 39275 a multiple of 25? True Is 2028 a multiple of 192? False Is 15 a factor of 15? True Does 13 divide 337? False Is 10683 a multiple of 18? False Is 5 a factor of 190? True Is 62730 a multiple of 18? True Is 309 a factor of 7525? False Is 52 a factor of 1613? False Does 17 divide 385? False Is 552 even? True Does 17 divide 11152? True Is 56425 a multiple of 25? True Is 30954 a multiple of 50? False Does 14 divide 1960? True Is 122 a multiple of 61? True Is 24 a factor of 3264? True Does 18 divide 28422? True Does 102 divide 8058? True Is 98 a multiple of 3? False Does 15 divide 3205? False Is 4719 a multiple of 11? True Is 58 a factor of 388? False Is 92 a factor of 9384? True Does 2 divide 219? False Is 292 a multiple of 45? False Is 4 a factor of 5221? False Does 5 divide 745? True Is 5725 a multiple of 14? False Is 34378 a multiple of 74? False Is 9 a factor of 7333? False Doe
{ "pile_set_name": "DM Mathematics" }
ultiple of x and 402? 2814 Suppose -4*k = -20, -3*p = 6*k - 7*k + 155. What is the common denominator of p and -70/9? 9 Suppose 0 = -65*g + 57*g + 3424. Calculate the lowest common multiple of 3 and g. 1284 What is the lowest common multiple of ((-1)/(-3))/(6/54) and 174? 174 Let x = -176798 + 61879353/350. Calculate the common denominator of x and -47/350. 350 Let k(p) = -p**2 + 4*p - 19. Let g(n) = 3*n**2 - 13*n + 58. Let m(v) = 4*g(v) + 11*k(v). What is the least common multiple of 8 and m(7)? 16 Let f = -1757 - -1763. What is the least common multiple of f and 271? 1626 Let a(c) = c**3 - 5*c**2 - 7*c + 7. Let g be a(6). Let i = g - -20. Let q(u) = -4*u**2 + u + 2. What is the least common multiple of i and q(0)? 42 Let z = -12 + 34. Suppose -y - z = -2*y. What is the lowest common multiple of y and 28? 308 Let r be (-20014)/7420 - (-4)/4. Let u = r + -1/371. Find the common denominator of u and -50/3. 30 Let x = 3205399/14670 + -2/7335. Let g = -1471599/6622 + 142/473. Let c = g + x. What is the common denominator of c and -9? 7 Suppose 4*g = q + 4192, 5*g + 42*q = 39*q + 5240. Calculate the lowest common multiple of g and 5. 5240 Let a = 8/127 - 11129/1270. Find the common denominator of a and 18/545. 1090 Let r = -3 - 5. Let i = 5 + r. Calculate the least common multiple of 2*(1 - 2)*i and 12. 12 Let d = 10 + -9. Let p = 110 + -879/8. Calculate the common denominator of p and d + (-33)/7 - (-1 + -1). 56 Let s = 36 - 24. Calculate the lowest common multiple of s and ((21/(-6))/7)/((-27)/162). 12 Calculate the lowest common multiple of (-736)/(-7) + (-20)/140 and 10. 210 Suppose -4*d - 3*a = -3*d - 12, 2 = 2*d - 5*a. Let z be -3*-1*2*1. Let m = z + d. What is the smallest common multiple of m and 2? 12 Let j = 921/14 - 345/7. Let o = 266 + -1865/7. Find the common denominator of o and j. 14 Let k be 80/6*(10 - 13). Calculate the common denominator of (-3 - 1) + 34/24 and (-590)/k + 1/(-2). 12 Calculate the lowest common multiple of (1 - (-33)/6)/((-4)/(-24)) and 249. 3237 Let d = 2353091/99 + -23769. What is the common denominator of d and 88/45? 495 What is the common denominator of -57/16 and ((-12)/32*1)/(99/(-1331))? 48 Let r = 3064/3 - 1324. Let y = r - -299. Calculate the common denominator of y and -43/5. 15 Let q = -4602 + 18313/4. Calculate the common denominator of 9/6 - 819/72 and q. 8 Let r(y) = 3*y + 2. Let l(d) = -d**2 - 6*d + 16. Calculate the smallest common multiple of l(0) and r(3). 176 Suppose 0 = -4*s + s - 354. What is the common denominator of (-1)/((-6)/s) + 1 and (-4)/(-6) - (-546)/36? 6 Calculate the common denominator of -101/142 and (-1)/4*(-6)/(6/59). 284 Suppose 11*q - 16*q + 190 = 0. Suppose p + 56 = -p. Let g = p - -46. What is the lowest common multiple of g and q? 342 Let h(p) = -2*p + 18. Let a be h(14). Find the common denominator of 5/((-550)/(-4))*-10 and 1/11*a + 2. 11 Let k = -43 + 40. Let s be 3/(k/(197 - -1)). Calculate the common denominator of (-2)/(-3)*s/(-27) and -34/31. 279 Let d = -31 - -36. Suppose 3*s - 42 = -3*p, -5*s = -d*p + 8 + 82. Calculate the least common multiple of p and 6. 48 Let j be 4826/(-873)*3 - (-5 - -2). Let m = -8/97 + j. Calculate the common denominator of m and (-276)/(-110) + 2/5. 33 What is the lowest common multiple of 15 and (-1 + -2)*(-1 - (-14)/(-3))? 255 Let k = -5815/784 - -97/49. Let b(z) be the second derivative of z**5/20 - 3*z**4/4 + 5*z**2/2 - 2*z. Find the common denominator of b(9) and k. 16 Let f(c) = -c**3 - 68*c**2 + 68*c - 26. What is the lowest common multiple of f(-69) and 344? 344 Let o = -1736/15 + 9137/80. What is the common denominator of -77/39 and o? 624 Let t = 84153/16 - 5262. Let h = 1/16 - t. Calculate the common denominator of h and (2/(-8))/(27/510). 18 Let l = -1614 - -1920. Calculate the least common multiple of l and 204. 612 Suppose 0 = 4*q + 2 - 46. Let y = q - 8. What is the lowest common multiple of y and 5? 15 Suppose -5*y - 244 = -64. Calculate the common denominator of ((-3)/(-20))/((-24)/(-176)) and (1*10)/(y/29). 90 Suppose 0 = -2*c + a + 79, -2*c + a + 40 = -c. Suppose -c = 4*m - 99. What is the lowest common multiple of m and 9? 45 Let s = 4117 + -4099. Let h = -5 + 11. Calculate the least common multiple of h and s. 18 Let t = -113725/18 - -6321. Calculate the common denominator of t and -9/16. 144 Let b be 1 - ((-48304)/6 - 18/54). Let f = -112675/14 + b. Let y = 2449/180 - 68/9. Find the common denominator of y and f. 140 Suppose -107*f + 14747 = -9649. Suppose 0 = 2*s - 27 + 3. Calculate the least common multiple of f and s. 228 Let u = -3438651904/485 + 7089999. Let j = u + 5/194. What is the common denominator of 748/(-168) - 4/(-14) and j? 30 What is the common denominator of (67/(-201))/(14/348) and -93/16? 112 Let w(q) = 12*q - 108. What is the smallest common multiple of w(10) and 2? 12 Find the common denominator of (1/(-22))/(123/1558) and -2/3. 33 Let u(z) = -z**3 + 2*z**2 + 10*z + 6. Let w be u(-2). Let p = -6 + 4. What is the common denominator of w - ((-38)/8 + p) and 1? 4 Let n(s) = s**3 + 6*s**2 + s. Let o be n(-3). Suppose 0*q + 70 = 5*q. What is the lowest common multiple of (o/14)/(1/(-7)*-1) and q? 84 Suppose 107*c = 105*c + 32. Calculate the lowest common multiple of c and 148. 592 Calculate the common denominator of ((-161)/(-1380))/(-12*(-2)/220) and 1/6. 72 Let c = 232 - 222. Calculate the smallest common multiple of 40 and c. 40 Suppose -42*d + 4132 + 4100 = 0. Calculate the smallest common multiple of 280 and d. 1960 Let k(r) = r**3 + 3*r**2 - 6*r - 2. Let y be k(-4). Let f(u) = u**3 - 6*u**2 - 2*u + 13. What is the lowest common multiple of f(y) and 40? 40 Let i be 0 + 1 - 63612/(-11). Let u = 2935 + 2844. Let s = u - i. Find the common denominator of 93/10 and s. 110 Let k = 681 - 591. Calculate the lowest common multiple of 90 and k. 90 Suppose -x + 3*i = -6*x + 1000, 0 = 4*x + 3*i - 800. What is the least common multiple of 80 and x? 400 Suppose 7 = 3*s + 1. Suppose -19 = -s*o - 3. What is the lowest common multiple of o and (-7)/21*(-12)/1? 8 Let w = 466 + -314. Calculate the lowest common multiple of w and 18. 1368 Let q be -4*(0 + -3 + 21/6). Find the common denominator of 6/(-8)*50/4 and ((-10)/550)/(q/425). 88 Suppose 4*m + 16888 = -g - 2*g, -3*g + 8444 = -2*m. Let u be (7 - 8) + m/(-748). Let j = 4/17 - u. Find the common denominator of j and 19/8. 88 Let g = 344945736/451 - 764845. Let d = g - -20/41. Find the common denominator of -4 - -4 - (-399)/18 and d. 66 Let m = -60120233/326820 - 1692/2095. Let w = -551/3 - m. What is the common denominator of 109/14 and w? 364 Let o(b) = -2*b**2 - 23*b - 17. Let l be o(-16). Let i = -2770 - -16511/6. What is the common denominator of l/(-35)*(-5)/(-16) and i? 48 Let g(x) = -7*x + 17. Let c(o) = -7*o + 18. Let b(w) = 6*c(w) - 7*g(w). Calculate the smallest common multiple of b(13) and 16. 80 Suppose 2*a - 253 = -53. Calculate the lowest common multiple of a and 3. 300 Let z be 1965/(-20)*(-32)/12. Suppose t - 3*d + 6 = 0, 0*d - 2 = t + d. What is the common denominator of (-6)/t + z/(-28) and 33/4? 28 Let o be (-31)/(-11) - 2/(-11). Suppose -o*r - 1 = 11. Find the common denominator of 31/2 and 10/8 + r/(-8). 4 Suppose f - 108 = -2*f. Suppose -4*i = -28 - f. Find the common denominator of ((-123)/i)/((-27)/(-18)) and 47/10. 40 What is the smallest common multiple of ((162/12)/(-3))/((-2)/24) and 182? 4914 Let s(p) be the second derivative of -5*p**4/12 - 4*p**3/3 - 5*p**2/2 + p. Let x be s(-5). Calculate the common denominator of 8/(-12) - 231/x and -5. 10 Suppose -5*h - 16 = -9*h. Suppose -h*m - 184 = 2*c, c + 172 = -4*m - 4*c. What is the common denominator of (-26)/(-12) + 2 + (-8 - -5) and m? 6 Let p = -307 - -325. Let f = 29 + -9. Calculate the smallest common multiple of p and f. 180 Let i be 0/(-2*(1 + -3)). Suppose i*j - j = 0, -7 = -m + 4*j. Calculate the smallest common multiple of 10 and m. 70 Let s(q) = q - 12. Let l be s(10). Calculate the common denominator of l/(-9) + (-25)/(-18) and 3/10. 90 Let s(k) = 3*k**3 - 2*k**2 + 7. What is the least common multiple of s(3) and 35? 70 Let l(s) = 4*s**2 + 17*s + 2. Let g be l(-13). Let j = g + -7305/16. Find the common denominator of j and -5/2. 16 Let h(y) = 5*y**2 - 49*y + 284. Calcul
{ "pile_set_name": "DM Mathematics" }
r p? -1 Let q be 4/14 + 12/105. Let d = -127319/93 + 1369. Which is greater: q or d? q Let p = -6337/3 + 2083. Is -30 at least p? False Let v be -11 + (9 - -2) - -2. Suppose -2*u = 14 + 6. Let t be (2/u)/(3/(-12)). Does v = t? False Let a(t) = t + 6. Let q be a(-14). Let c be (1 - 21)*8/q. Let m be c/(-90) + (-22)/(-18). Which is smaller: m or 3? m Let k(u) = -10 - u + 4 - 3. Let s be k(-7). Let w be 12/11*(32 + -33). Which is bigger: s or w? w Let o be 3/(5/10*-1*3). Let w be (-2)/((1 - o) + -5). Which is smaller: -1/4 or w? -1/4 Let w be (2/3)/((-4)/(-12)). Suppose -4 = -k - 2*h, 1 = k - w*h + 5*h. Suppose -3*d + 13 = k. Which is smaller: d or 2? d Let y(t) = -4*t - 76. Let m be y(-15). Let a(w) = -w - 27. Let f be a(0). Let j = m - f. Does j = 10? False Let c be 2156/(-84) + 2/(-6). Let l be (-12)/320*(c/12 - -3). Is l smaller than -1? False Suppose 5*z - 4*i - 2334 = 0, -2*z - 241 = -4*i - 1165. Is 0.1 less than or equal to z? True Let g = 1.31 + -1.5. Let a = -34.09 - -34. Let i = a - g. Which is smaller: i or 3? i Let r = -11 - -39. Let n be (0 - (4 + (-4 - -4))) + 34. Are r and n nonequal? True Suppose -38*l + 230 = -15*l. Are l and 128/13 non-equal? True Let m = -0.32 + -6.68. Let k = m + 7.06. Let a = k + -0.36. Is a at least as big as -2? True Let r = 199269/89 + -2239. Is 2/3 at most r? False Suppose -5*g = -g - 72. Suppose 2*k = 6 + g. Suppose v + v - 14 = 5*t, -t + 5*v = k. Is t equal to -1? False Let v = -2/61 - -67/183. Let n = -29.87 - -30. Let g = n + -0.03. Which is greater: g or v? v Let b(o) = -o**3 - 6*o**2 + 8*o + 6. Let t be (-1 + -6)/(0 + 1). Let k be b(t). Let m be -5 - k*(4 + 0). Which is smaller: m or -1/46? m Let g = -2.6 - -6.6. Are -30 and g non-equal? True Let b(z) = -5*z**2 + 3*z + 5. Let t be b(-4). Let d be (-1925)/22 + (-17)/34. Which is smaller: d or t? d Let f be 2 + 1 + (-1 - 0). Suppose -3*m = -f*m + 49. Let g be (-7)/m - 26/(-112). Is g at least as big as 1? False Let s(i) = 6*i. Let d(x) = 15*x. Let w(n) = -5*d(n) + 12*s(n). Let l be w(-2). Suppose t + 7 = b + b, 4*b + t - 23 = 0. Does l = b? False Suppose 7*r = 4*r - 3. Let h = 14 - 10. Let j be h + (-115)/105 + -3. Which is bigger: j or r? j Let q = 205/62 + 6/31. Suppose 0*k + 3*k - 3 = 2*g, 4*g - k + 11 = 0. Let f(s) = s**3 + 5*s**2 + 5*s + 1. Let z be f(g). Which is greater: q or z? z Suppose 2*c + 25 = o, 0 = -c + 2*c. Suppose h + 1 = -0*d - 2*d, 0 = 5*h + o. Suppose -3*q + 0 = -v - d, 6 = -3*v. Are -4/9 and q nonequal? True Let m = -183 + 135. Which is greater: -46 or m? -46 Let y be 252/(-780) - 2/(-6). Let q be (-3)/(-5) - 1061/780. Let k = y + q. Which is smaller: k or 0? k Let m = -1114 + 1112. Is m at least -89? True Let c = 4 + 0. Suppose -d + 2*v + 6 = 0, -c*d + 24 = -6*d - 5*v. Are -17/6 and d equal? False Let j(h) = h**3 + 26*h**2 + 24*h + 8. Let x be j(-25). Let n = 197/6 - x. Suppose 0 = 3*z - i - 4, 4*z = -z - 5*i. Do n and z have different values? True Suppose -2*j = j - 5*f + 70, -3*j - 86 = -f. Let o be 3/(-220)*4790/j. Let r = o + 1/44. Which is bigger: 1 or r? r Let w = -143 - 360. Do w and -502 have the same value? False Let b = 63 + -60. Suppose -b*k + 3*v = -k - 1, -3*v - 5 = -4*k. Is k < 2? False Let b be ((-15)/(-6) - 3)/(-1)*2. Is b equal to 1/142? False Suppose 2*g = -2*g - 12, -v = 2*g - 38. Suppose 0*i - v = -4*i. Are 14 and i non-equal? True Let p(z) = z**2 - 17*z + 14. Let c be 72/6 + (-8)/(-2). Let y be p(c). Which is greater: y or -6/11? -6/11 Let l = 12 + -13. Let k be -18*1/(-2)*l. Let w(c) = -c**3 - 8*c**2 + 10*c + 7. Let j be w(k). Is -6/11 < j? False Suppose -33*b = -26*b + 14. Which is smaller: 21 or b? b Suppose 2 = -3*z - 4*g + 7, 2*z = 5*g + 34. Let s(c) = c**2 - 8*c + 8. Let v be s(z). Let y be 5*(-25)/(-40) - 3. Is v smaller than y? False Let a be 4 + (0 + -4 - 14). Let u(v) = 3*v - 32. Let w be u(6). Is w at most as big as a? True Let o(i) = i**2 + 15. Let n be o(0). Suppose 5*a - 2*a + 4*r = -169, 0 = 3*r + 3. Let l be (-18)/(-22)*1 + (-10)/a. Which is bigger: n or l? n Suppose -78*b - 2013 = -89*b. Is b at most 184? True Let p = -1.06 - -0.26. Let g = p + 0.9. Do -2/23 and g have the same value? False Let a(t) = -t**3 - 9*t**2 + 32*t + 82. Let f be a(-11). Which is bigger: f or -32? f Let c(g) = 36*g**2 - 10*g + 4. Let w be c(4). Is 541 smaller than w? False Suppose 0 = 3*w - 6 - 3. Let o be (-1)/(w/(-18) - -3). Suppose 2*m + 0*m = -2. Which is bigger: m or o? o Let c = 1.2 - 1.1. Let b = 2.7 + -1.7. Let s = b + -2. Which is greater: c or s? c Let f = 17 - 9. Suppose 171*o - 529 + 16 = 0. Is f >= o? True Suppose 2*r + 3*i = 2259, -3*r = -0*r - 5*i - 3341. Let d be r/660*(-1 - 16/(-6)). Which is smaller: 3 or d? d Let t(l) = -l**3 - 14*l**2 - 16*l + 17. Let o be t(-13). Let k = o - 82. Let n = -22 - k. Is 4 less than n? False Let n(d) be the second derivative of 1/12*d**4 - 11/6*d**3 + 11/2*d**2 + 0 + 5*d. Let h be n(10). Are 2/7 and h equal? False Let t(n) = -n**2 + 11*n - 9. Let v be t(8). Let d = v + -43. Is -28 greater than d? False Let x be 355/10 - (-10)/(-4). Which is smaller: x or 31? 31 Let u(k) = -k - 3. Let f be u(-4). Let g = 23521/17 - 1383. Which is smaller: g or f? g Let l be (-88)/396 - -2391*(-2)/351. Is l less than -15? False Let t = 20 - 20.78. Let i = -0.78 - t. Is 1/3 <= i? False Let z = -620 + 619. Which is bigger: z or 1/36? 1/36 Suppose 3 = -2*k + 5. Suppose -5*a - k = -u, 3*u - 5*a + 13 = u. Is -15 > u? False Let k = 2 + -2. Let s(b) = b**3 + 5*b**2 + 2*b - 11. Let a be s(-5). Let g be -3 - (a/35 + (-53)/20). Is g at most as big as k? False Let d = -6 - -1. Let g = d - -9. Let r = 4.1 - g. Is r > 3/2? False Let a = 15.04 + -0.04. Let l = a + -16.2. Let r = l - -0.2. Is r at least 0.9? False Let g = 317/306 + -5/34. Are g and 1 nonequal? True Let l = -2104 - -2104. Is 13/28 smaller than l? False Suppose -5*l - 2*p - 4 = 0, 4*p + 6 = 4*l + p. Suppose 4*f - 16 = l, -f + 18 = 3*a - 10. Is a greater than or equal to 9? False Let f be (1 - 1701/3)*(-2)/20. Which is greater: 58 or f? 58 Suppose 9*u - 7*u - 144 = 0. Let m be 3*(-6)/(u/(-20)). Which is smaller: 4 or m? 4 Let l be 1*(-3)/((-3)/2). Suppose -5*j + 0*d + 8 = -2*d, 10 = 4*j + l*d. Suppose -x + 36 = 5*n, 0 = -2*x + 81 - 69. Is j less than n? True Let a = 0 - 0.3. Let m = 2.1 + -0.1. Let j = m + -1. Is a greater than j? False Suppose 672 = -13*g + 20*g. Which is smaller: 94 or g? 94 Let p = 13 + -8. Let l = -6 + p. Which is smaller: -2/21 or l? l Suppose 4*g - 4*w + 21 = -27, 18 = -4*g - 2*w. Let s(m) = m + 5. Let f be s(g). Is -9/13 > f? True Suppose 12*f - 92 = 40. Suppose 4*b + 19 = -3*p - f, -5*p - 5*b = 45. Let w(c) = c**2 + 7*c + 4. Let k be w(-3). Do p and k have the same value? False Let b be 40/(-20) - 32/(-18). Let x be (3 + 33/(-12))*4. Does x = b? False Let o = 0.1 - 37.1. Let r = o + 37. Which is greater: r or -0.25? r Let j be 24/324*-6 + 3106/(-18). Is j at least -174? True Let f(j) = 4*j**3 + j**2 - 2*j. Let o be f(1). Suppose -h - 2*c = 2*h - 34, -4*h = -o*c - 51. Let b be h/(-5) + (-2 - -4). Which is bigger: 1 or b? 1 Let u = -132132 - -930641/7. Let y = -818 + u. Let v(k) = k**2 + 6*k. Let b be v(-6). Which is smaller: b or y? y Let s = -1139/3304 + 25/56. Which is greater: -1/2 or s? s Let a = 1.0009 - 0.0009. Suppose -3*w - 66 = 4*m - 274, 0 = -2*w + 2*m + 134. Suppose 0*f = -4*f + w. Does f = a? False Suppose 0 = -3*c - 2*c - 230. Let o = 93 + c. Do 46 and o have the same value? False Let o = -50 + 26. Let k = 9 + o. Do k and 3 have the same value? False Let i = -0.37 + 0.26. Let q = 46.55 + -46. Let d = q - -0.45. Which is greater: i or d? d Let f be 116/(-30) - (-2)/(-15). Let b(j) = -2*j - 5. Let h be b(f). Suppose 6*g - 5 = g + 4*o, h*g = -2*o + 3. Is -1/4 bigger than g? False Let h = 335 - 334.994. Are h and 0 non-equal? True Suppose 115 = -4*y + 319. Let z = y - 51. Which is smaller: z or -2/75? -2/75 Let s = -2306711/780 - -11829/4. Which is smaller: s or -1? -1 Let h = -311 - -374. Let p be (18/(-4))/((-3)/42). Are p and h non-equal? False Let w(s) = 3*s - 20. Let y be w(8). Suppose -116 = y*m + m - 3*a, 0 = 3*m - 2*a + 70. Let k = 31 + m. Which is greater: k or 7? k Let a = -0.8 + -1.55. Let i = a - -2.4. Which is smaller: i or -1/3? -1/3 Suppose -l = -3*z + 9, -l + 6 = 3*l + 2*z. Suppose -3*p
{ "pile_set_name": "DM Mathematics" }
sqrt(24) + sqrt(24)). 15*sqrt(19)/4 Simplify (-3*(-1*sqrt(187) - sqrt(187)))/sqrt(11) - 6*(sqrt(425) - (sqrt(425) + 1)). 6 + 6*sqrt(17) Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*2)*2)) - sqrt(68)) + (-5*2*sqrt(68) - sqrt(68)))/(-4*-3*sqrt(144)). -5*sqrt(17)/72 Simplify (3*(-4 + 1*(-2 + sqrt(1900)) + 4))**2. -360*sqrt(19) + 17136 Simplify (6*(-1*(4 + sqrt(19) + 2*sqrt(19)) - (1 + sqrt(1216))*-2))**2. -1872*sqrt(19) + 115740 Simplify (2 + sqrt(720)/sqrt(9))**2*1 + -1. 16*sqrt(5) + 83 Simplify (4*sqrt(2816)*6)/(sqrt(4)*-1*-4 + sqrt(32)/sqrt(2)). 32*sqrt(11) Simplify 3 + 3*((sqrt(180) - (sqrt(180) + (-1 + sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180)))**2 + 5 + 5). -72*sqrt(5) + 2196 Simplify (sqrt(1100) + 4 - (sqrt(704) + -2 + 3))**2. 12*sqrt(11) + 53 Simplify (sqrt(11) + 2)*3 + (sqrt(121)*-1)/sqrt(11) - (sqrt(110)/(-2*sqrt(10)) + (sqrt(110)*1)/sqrt(10))**2. 13/4 + 2*sqrt(11) Simplify (-2 + (sqrt(48) - (sqrt(48) + (sqrt(48) - sqrt(768)) + 4 + sqrt(48))) + -3)*5. -45 + 40*sqrt(3) Simplify 3 + ((2*sqrt(1300)*4 - 1*sqrt(1300)*-5)*4)**2. 3515203 Simplify (sqrt(150) - (sqrt(150)*3 - sqrt(150))*-5)/(sqrt(2) + -2*sqrt(2)*1 + sqrt(10)/(sqrt(125) + sqrt(5))). -66*sqrt(3) Simplify 2*(4 + 1 + sqrt(72) + (sqrt(72) - (1*sqrt(72) - sqrt(72))) + -4)**2 + 3. 48*sqrt(2) + 581 Simplify 4 + ((sqrt(208) + sqrt(208) + -1)**2 + -2 - (sqrt(1872) - 2*-2*sqrt(1872))**2). -45965 - 16*sqrt(13) Simplify 6*(-2 + (((sqrt(120)/sqrt(2))/sqrt(12))**2 + (6*(sqrt(5) + 0))**2)*-2*6). -13332 Simplify ((sqrt(7488) - (0 + sqrt(7488)))*2 + sqrt(7488) + 0 + 3)*-3. -72*sqrt(13) - 9 Simplify ((3*sqrt(280))/sqrt(8)*-3)/(sqrt(20)/sqrt(4)*-3 - sqrt(10)/sqrt(2)*6). sqrt(7) Simplify (sqrt(400)/((sqrt(90)*-2)/sqrt(9)))/((1*sqrt(128) - sqrt(128) - sqrt(128)) + sqrt(80)/(2*sqrt(10))). sqrt(5)/7 Simplify ((1 + (sqrt(5) - sqrt(125)))*3)**2 + (sqrt(15) + (sqrt(240) - (sqrt(240) + sqrt(240) + sqrt(240)*-1)) + sqrt(240))/sqrt(3) + 3. -67*sqrt(5) + 732 Simplify ((sqrt(396) + sqrt(396)*-3)*3)/(sqrt(16)*-4*2). 9*sqrt(11)/8 Simplify (sqrt(228) + -2*sqrt(228)*-3 + (sqrt(228)*2*4 - sqrt(228)))/(sqrt(36)/(3*(sqrt(24)/sqrt(8) + sqrt(3)))). 84*sqrt(19) Simplify -3 + ((sqrt(833) + sqrt(833) + (-1 + sqrt(833) - sqrt(833)))*1)**2 - (sqrt(68) - 4*2*sqrt(68) - sqrt(68))/(sqrt(24)/sqrt(96)). 4*sqrt(17) + 3330 Simplify -5*(-5 + (-2*sqrt(1573) + sqrt(1573))*2)**2. -31585 - 1100*sqrt(13) Simplify 2*((sqrt(1216) - (sqrt(1216) + (-1*sqrt(1216))**2 + -4)) + 3 + 2). -2414 Simplify ((sqrt(2160) - sqrt(2160)*-4) + sqrt(2160) - sqrt(60))/sqrt(12) - (4 + sqrt(35)/sqrt(7))*-3. 12 + 38*sqrt(5) Simplify 1*6*((sqrt(14)*2*-5)/sqrt(2))**2*-6. -25200 Simplify 1 + (2*(sqrt(272) + 2*sqrt(272)) - (-2 + sqrt(272))*4)**2. 128*sqrt(17) + 1153 Simplify ((sqrt(72) + 1 + 0)*-2 + (sqrt(162) - (sqrt(162) + 2*1*sqrt(162))) + 5)**2. -180*sqrt(2) + 1809 Simplify (sqrt(2) - (sqrt(2) + 4 + sqrt(2) + (sqrt(8)/sqrt(4))**2 + sqrt(2)))*-6*-4*6. -864 - 288*sqrt(2) Simplify (sqrt(225)*2 + sqrt(225))/(sqrt(5) - (sqrt(60)*2)/sqrt(12))*-3. 27*sqrt(5) Simplify (-3*-2*sqrt(209) - 4*sqrt(209)*-2)/(sqrt(22)/(sqrt(24)/sqrt(3) - sqrt(2))). 14*sqrt(19) Simplify 1*(sqrt(3) + -2 + sqrt(3))*6*-4*-2. -96 + 96*sqrt(3) Simplify 2*(-3 + (3 + -3*sqrt(275))**2 + sqrt(275)). -170*sqrt(11) + 4962 Simplify ((sqrt(22)/sqrt(2)*4 + 2 - (sqrt(1584)*1 + 0)) + 5 + 1)**2. -128*sqrt(11) + 768 Simplify ((1*sqrt(500))**2 + -1)*5 - ((sqrt(80) - (sqrt(80) - sqrt(80)*2))**2 + (sqrt(5) + 2)*-3). 3*sqrt(5) + 2181 Simplify 3 + ((sqrt(84)*-1 + sqrt(84))/sqrt(12))**2 - ((sqrt(49)/sqrt(28))**2 + -5). 25/4 Simplify -6*((3*sqrt(280))/sqrt(8))/(-1*sqrt(180)) + 3. 3 + 3*sqrt(7) Simplify 5*(sqrt(12)/(sqrt(36)*3) + (sqrt(3) + (sqrt(135)/sqrt(5) + sqrt(27))/sqrt(9))*4). 545*sqrt(3)/9 Simplify (-2*sqrt(1700) + 3 - -3*(sqrt(272) + -4 - sqrt(17)))**2. 198*sqrt(17) + 2138 Simplify 3 + (sqrt(3) - (0 + sqrt(192) - sqrt(3)))**2 - (5 + 3*sqrt(108)). -18*sqrt(3) + 106 Simplify (sqrt(52)/sqrt(256) + sqrt(13) + 3 - (-1*sqrt(468))**2)*1. -465 + 9*sqrt(13)/8 Simplify -5*((sqrt(136) - (sqrt(136) + (3*sqrt(136) - sqrt(136))*5))/sqrt(8) - -1*(sqrt(272) + 5)). -25 + 30*sqrt(17) Simplify (sqrt(68)/(sqrt(4)/(-1*sqrt(2))))/(5*(sqrt(242) + -2*sqrt(242))). sqrt(17)/55 Simplify (0 + 0 + sqrt(891) + 1 + -3 + -4 + -5)**2. -198*sqrt(11) + 1012 Simplify -6*(-3 + ((1 + sqrt(2268) + -2)*2)**2). -54438 + 864*sqrt(7) Simplify (-1 + (sqrt(304)*-1 - sqrt(304)) + 1 - (5 + -1*sqrt(304) + 0 + sqrt(304) + -2))**2. 48*sqrt(19) + 1225 Simplify -3*6*(3 + (sqrt(171)*4)**2) + 2. -49300 Simplify (sqrt(2) + sqrt(10)/(sqrt(20)/sqrt(4)) - sqrt(12)/(sqrt(54) + sqrt(6) + sqrt(6)))**2 + 2 + sqrt(1152). 212/25 + 24*sqrt(2) Simplify -2 + ((1 + sqrt(1331) + sqrt(1331)*-2 + 5)*2)**2. -528*sqrt(11) + 5466 Simplify -4*(2*sqrt(832)*2 + -4 + -2). -128*sqrt(13) + 24 Simplify -4*(0 + 3*(sqrt(39)/(sqrt(9)/(sqrt(9)/sqrt(3))))**2 + 2). -164 Simplify ((sqrt(210)/(sqrt(10)*-2) - sqrt(21))/sqrt(3) - (2 + sqrt(504)/sqrt(8)))**2. 18*sqrt(7) + 583/4 Simplify (sqrt(242) + -1 + sqrt(242) + 4)**2 + (2 + sqrt(32) + -4)**2. 116*sqrt(2) + 1013 Simplify ((sqrt(56) - (3*sqrt(560))/sqrt(10) - sqrt(56))*-3)/(-1*sqrt(392)*-2). 9*sqrt(7)/14 Simplify (sqrt(432)*1 - sqrt(432) - -6*(-1 + sqrt(3))) + -6*((sqrt(15) - sqrt(60)) + sqrt(15))/sqrt(5). -6 + 6*sqrt(3) Simplify (-1 + sqrt(2) + -1 + sqrt(8))**2 - (sqrt(8)/(sqrt(4)*2*-6))**2. -12*sqrt(2) + 1583/72 Simplify (sqrt(468)/(sqrt(45)/sqrt(5)))/sqrt(4) + (sqrt(1573) + 1 + sqrt(1573) - sqrt(1573))*-3. -32*sqrt(13) - 3 Simplify ((-3*sqrt(90) + sqrt(90))/sqrt(3))/(sqrt(640) - (sqrt(640) + sqrt(640)*-1) - sqrt(640) - sqrt(640)). sqrt(3)/4 Simplify 5*(3 + (-2*sqrt(720)*-1 + sqrt(720)*-2 + 1 + 4)**2). 140 Simplify ((-2*-5*(sqrt(60) - sqrt(240)))/(1*1*sqrt(588))*-2)**2. 2000/49 Simplify (sqrt(38)/(sqrt(22)/(sqrt(11)*3)) - (-4*sqrt(152)*3)/sqrt(8))*2. 30*sqrt(19) Simplify (6*(sqrt(96)/(sqrt(12)/sqrt(3)))/(sqrt(18)/(1*sqrt(6)))*-5)**2. 7200 Simplify ((sqrt(325) - sqrt(13)) + sqrt(13) + -4 + 2 + -4 + (sqrt(13) - -2*sqrt(13)) + 4)**2. -32*sqrt(13) + 836 Simplify sqrt(68) + (-4 + 3*sqrt(68))**2 + -1*sqrt(68)*1. -48*sqrt(17) + 628 Simplify 5 + 1*(-1*sqrt(12) - (3 + sqrt(108))). -8*sqrt(3) + 2 Simplify ((sqrt(1300) + -1 - sqrt(13)) + sqrt(13) - (1*sqrt(1872))**2 - (2*sqrt(1573) + sqrt(143)/(sqrt(22)/sqrt(2)))) + 5. -1868 - 13*sqrt(13) Simplify (2*(1 + sqrt(175) + -4 + sqrt(63)))**2*-3*5. -27420 + 2880*sqrt(7) Simplify ((3 + sqrt(171) + sqrt(171)*3 + sqrt(171) + (2 + sqrt(171))*3 + -2)*5)**2. 8400*sqrt(19) + 274825 Simplify (-3*(1 + sqrt(7) + -4))**2 + (-1*sqrt(378))/sqrt(6). -57*sqrt(7) + 144 Simplify (0 + (-1*((sqrt(98) - sqrt(98)*-5) + sqrt(98)))**2)*-5. -24010 Simplify -3 + (4 + sqrt(9)/sqrt(3) - (sqrt(432) + 2)). -11*sqrt(3) - 1 Simplify 5 + ((sqrt(153)*-2*4 + (sqrt(153) + -1)*1)**2 - (sqrt(153) + 0 + -5 - ((sqrt(153) - (sqrt(153) + -1 + -1))**2 - sqrt(153) - sqrt(153)))). 33*sqrt(17) + 7512 Simplify -5*(sqrt(128)/sqrt(4) + sqrt(32)) + sqrt(16)/(1*sqrt(8)*-4). -161*sqrt(2)/4 Simplify 5 + ((((2*sqrt(660))/sqrt(11) - sqrt(60))/sqrt(3))/(sqrt(196)*2*6 + sqrt(196) - sqrt(196)))**2. 35285/7056 Simplify 1 + (5*sqrt(165)/sqrt(5))/(-4*sqrt(75)). -sqrt(11)/4 + 1 Simplify sqrt(18)/(-2*sqrt(144)) - (sqrt(90)/sqrt(5))/sqrt(9)*-6. 47*sqrt(2)/8 Simplify ((-5 + (-5*sqrt(143)*-2)/(sqrt(11) - sqrt(121)/(sqrt(11)*-2)))*2)**2. -800*sqrt(13)/3 + 21700/9 Simplify (sqrt(432) + (sqrt(432) - (1 + sqrt(432) + -1)) + -3)**2 + (-2*((sqrt(432) + 1 - sqrt(432)) + -5))**2 + 3. -72*sqrt(3) + 508 Simplify (-1 + -4 + -6*((-5 + (sqrt(1216) + 1 + sqrt(1216) - sqrt(1216)) - sqrt(1216) - sqrt(1216)) + -4))**2. 4128*sqrt(19) + 45625 Simplify (-5 + -2*sqrt(1900)*2 + 2)*1*6. -240*sqrt(19) - 18 Simplify (1*2*sqrt(1728))/(sqrt(4)*1*-4 + -2*sqrt(16)). -3*sqrt(3) Simplify (0 + -1 + sqrt(1584))**2 + 2 + 1 + 2. -24*sqrt(11) + 1590 Simplify sqrt(33)/(sqrt(11)*1) + sqrt(3) + sqrt(3)*-1 + 4 - (-1*sqrt(30)*-6)/((1*sqrt(100))/sqrt(10)). -5*sqrt(3) + 4 Simplify ((sqrt(99) + (sqrt(99) - sqrt(99)*-3*3))/(sqrt(900)*4))**2. 1331/1600 Simplify -1*(4*(sqrt(325) - ((sqrt(325) + 0)*-6 - sqrt(325))) + 4*(0 + sqrt(325))*4)**2. -748800 Simplify 4 + (-3 + 4 + (sqrt(13) - (-1 + sqrt(13))) - sqrt(91)/(sqrt(35)/sqrt(5)*4))**2. -sqrt(13) + 141/16 Simplify ((sqrt(1440) + -2*sqrt(144
{ "pile_set_name": "DM Mathematics" }
greatest common factor of 130 and 211947814. 26 What is the greatest common divisor of 15 and 754233? 3 Calculate the highest common divisor of 10723636 and 5646. 1882 What is the greatest common divisor of 185 and 759415? 5 Calculate the highest common factor of 40 and 19455000. 40 What is the highest common divisor of 212230 and 7510? 10 What is the greatest common divisor of 15 and 263253? 3 Calculate the highest common factor of 13289 and 29779. 97 What is the highest common divisor of 4782477 and 7917? 609 Calculate the highest common divisor of 680 and 398007740. 340 What is the greatest common divisor of 222 and 61387773? 111 What is the highest common factor of 1029438 and 5454? 18 What is the highest common factor of 101 and 557009041? 101 Calculate the greatest common divisor of 15814766 and 178. 178 Calculate the highest common divisor of 1062961735 and 47620. 11905 Calculate the greatest common divisor of 724181 and 4163. 181 Calculate the highest common divisor of 844019 and 1375. 11 Calculate the greatest common factor of 3802328 and 127844. 4124 Calculate the highest common divisor of 136 and 3126808. 8 What is the greatest common divisor of 675845268 and 204? 204 What is the highest common divisor of 204 and 6060186? 6 Calculate the greatest common divisor of 2667090 and 60. 30 What is the greatest common divisor of 2745 and 17957745? 45 Calculate the greatest common factor of 929610 and 4244130. 2970 Calculate the greatest common factor of 221552637 and 545. 109 Calculate the greatest common factor of 131330 and 1713. 571 What is the highest common factor of 62 and 1260367? 31 What is the highest common divisor of 54 and 135121986? 54 What is the greatest common factor of 208582 and 235528? 998 What is the highest common factor of 1853 and 4680787? 109 Calculate the highest common factor of 90018 and 12366. 54 Calculate the greatest common factor of 344178 and 4779. 9 What is the highest common divisor of 47470 and 18451589? 4747 Calculate the greatest common factor of 660 and 6189920. 220 What is the highest common divisor of 1108944 and 38952? 72 What is the highest common divisor of 34086639 and 1474856? 9703 Calculate the highest common divisor of 202345 and 112255. 715 Calculate the greatest common divisor of 120393 and 19577754. 9261 Calculate the highest common divisor of 38646 and 19456. 38 Calculate the greatest common factor of 26669565 and 819. 117 What is the greatest common divisor of 27851793 and 206217? 6249 What is the greatest common factor of 1580 and 7845490? 790 What is the greatest common divisor of 152317010 and 710? 710 What is the highest common factor of 3404 and 212? 4 Calculate the greatest common divisor of 620550 and 65. 5 What is the greatest common factor of 2695561 and 5722420? 15059 What is the highest common divisor of 388476 and 884844? 324 What is the highest common factor of 16166698 and 134? 134 Calculate the greatest common factor of 200724 and 416928. 516 Calculate the highest common factor of 30926 and 2076648. 658 What is the highest common divisor of 15654838 and 7482? 2494 Calculate the greatest common factor of 135 and 27390. 15 What is the highest common factor of 13 and 5075369? 13 What is the highest common factor of 22280926 and 2602? 2602 What is the greatest common divisor of 2673345 and 20? 5 What is the highest common divisor of 546 and 3468140? 26 What is the highest common divisor of 4959843 and 19275? 771 What is the greatest common factor of 1928255 and 1143485? 1295 Calculate the greatest common factor of 8292308 and 445. 89 What is the greatest common divisor of 267064 and 10793? 251 Calculate the highest common divisor of 51875 and 12153275. 2075 Calculate the highest common divisor of 7124 and 87932. 52 What is the greatest common factor of 57258 and 108? 18 What is the greatest common divisor of 1283378 and 172? 86 What is the greatest common divisor of 142579255 and 442? 221 What is the highest common factor of 1035 and 143659173? 69 Calculate the greatest common divisor of 7 and 8528117. 1 What is the greatest common divisor of 31785642 and 1890? 378 What is the highest common factor of 127462625 and 100? 25 Calculate the highest common divisor of 513 and 276033159. 171 Calculate the highest common divisor of 507345 and 963615. 3405 What is the greatest common factor of 161653 and 27676? 629 Calculate the greatest common divisor of 88840 and 55. 5 What is the highest common divisor of 629904 and 51299? 1193 Calculate the greatest common factor of 28980 and 59846. 46 What is the greatest common divisor of 16792284 and 132? 12 Calculate the highest common factor of 6 and 4554006. 6 What is the highest common divisor of 5040 and 890286? 6 Calculate the highest common factor of 25968 and 1095. 3 Calculate the greatest common factor of 1 and 33808055. 1 What is the highest common divisor of 524864 and 664576? 3776 What is the highest common divisor of 1438890 and 60? 30 What is the highest common divisor of 685940 and 117720? 20 Calculate the highest common divisor of 6448 and 1750973744. 6448 Calculate the greatest common factor of 282945 and 947895. 195 Calculate the highest common factor of 128312 and 39087. 43 Calculate the highest common factor of 65944140 and 1038. 1038 What is the greatest common divisor of 2060892 and 501075? 1179 What is the highest common factor of 73 and 4189981? 73 Calculate the greatest common divisor of 462503 and 217391. 1459 What is the greatest common divisor of 2370260 and 620? 620 Calculate the highest common divisor of 156 and 267095868. 156 What is the greatest common factor of 1125544 and 2222? 202 What is the greatest common divisor of 70 and 5092472? 14 What is the highest common divisor of 650 and 27529970? 130 What is the highest common factor of 28179 and 3289131? 279 What is the greatest common factor of 1008 and 104359032? 72 What is the highest common divisor of 3119377000 and 50? 50 Calculate the greatest common divisor of 3355210 and 250. 10 What is the highest common divisor of 171386030 and 110? 10 What is the greatest common factor of 15180 and 693036? 276 Calculate the greatest common factor of 254 and 27298142. 254 What is the highest common factor of 6324758 and 16720? 418 Calculate the highest common factor of 431105 and 183465. 755 Calculate the greatest common factor of 1950 and 82629690. 390 Calculate the highest common divisor of 443897268 and 374. 34 What is the greatest common factor of 372 and 772221284? 124 Calculate the highest common divisor of 149169 and 14307. 57 What is the greatest common factor of 70945 and 4445? 35 What is the highest common factor of 3187240 and 560? 280 Calculate the greatest common divisor of 3453594 and 1668. 834 What is the highest common factor of 9507319 and 885? 59 What is the greatest common divisor of 577 and 10727? 1 Calculate the highest common factor of 124 and 2191156. 4 What is the highest common factor of 7536779 and 235? 47 What is the highest common factor of 122082 and 1374? 6 What is the highest common factor of 5460741 and 2327? 13 What is the highest common divisor of 437 and 919793? 23 Calculate the greatest common factor of 27099 and 484593351. 9033 Calculate the highest common factor of 440008 and 120. 8 Calculate the greatest common divisor of 59081 and 11703409. 5371 What is the greatest common factor of 26 and 26964288? 26 What is the highest common divisor of 229365 and 46980? 135 What is the greatest common divisor of 76729380 and 780? 780 Calculate the greatest common divisor of 19783032 and 146888. 488 What is the highest common divisor of 648 and 1439784? 72 Calculate the highest common factor of 5683540 and 103. 103 Calculate the greatest common divisor of 2068 and 29708668. 44 What is the highest common factor of 60123875 and 1925? 175 What is the highest common factor of 7659331 and 347? 347 What is the greatest common divisor of 546 and 313118? 26 Calculate the greatest common factor of 6432 and 820214. 134 What is the highest common divisor of 1221 and 2224695? 33 Calculate the highest common divisor of 1606849 and 2185. 437 Calculate the highest common factor of 44162 and 738314. 622 What is the greatest common factor of 2666706 and 1516
{ "pile_set_name": "DM Mathematics" }
+ -4. Let h = o - -135. Does 17 divide h? True Suppose 69 = z + 29. Is 2 a factor of z? True Suppose -241 + 65 = -y - 4*i, 820 = 5*y + 5*i. Let k be ((-1)/2)/((-16)/y). Suppose -w = -k*w + 140. Is 11 a factor of w? False Suppose -4*x + 9 = -f - 2, 8 = 2*x + 2*f. Suppose 0 = -2*c + c + 5*b + 42, x*b = -4*c + 145. Suppose 3*m - c - 5 = 0. Is m a multiple of 7? True Let l = 1180 + -715. Is 31 a factor of l? True Let f(r) = r**2 + r - 7. Let u(s) = -s**2 - 3*s + 13. Let c(o) = 7*f(o) + 4*u(o). Is 16 a factor of c(6)? False Is 98 a factor of 3/(9/84)*1323/18? True Is 9 a factor of (-9)/(-15) - (-42548)/20? False Suppose 1585*l = 1602*l - 1224. Is l a multiple of 24? True Is 50 a factor of (6 + 160/(-25))/(1/(-3910))? False Suppose 1015*i + 35721 = 1036*i. Is 27 a factor of i? True Let k = 14 - 9. Suppose k*y - 60 = y. Suppose 4*f - 36 - 17 = -3*x, 0 = -3*f + y. Does 6 divide x? False Let n(q) = q**3 - q**2 - q + 75. Let z be n(0). Is 25 a factor of (z/20)/(6/80)? True Suppose 3*v + 2*v - 20 = 0. Suppose 3*l - 12 = 5*a, -2*a + v = 5*l - 4*l. Suppose -l*z = -z - 153. Is 17 a factor of z? True Let u be (-174)/(-2)*(-5)/(-15). Suppose 0*r - u = -r. Let k = r - 11. Is 5 a factor of k? False Suppose 3*b = -4*m + 41, b - 2*m = -3*b + 18. Does 29 divide 1/((b/2)/7) + 85? True Let q = -75 - -73. Does 14 divide q/(2*(-5)/220)? False Let o = 38 + -33. Suppose 0 = -2*g + 4, 3*c = g - o*g + 74. Is 3 a factor of c? False Suppose 2*o - 30 = -3*o. Let z = o + -3. Suppose 0 = -0*g - z*g + 60. Is 20 a factor of g? True Let n = -17 - -27. Suppose 20 = -c - n. Let y = c + 33. Is y a multiple of 3? True Let m(z) be the second derivative of z**3/6 + 10*z**2 + 2*z. Is m(10) a multiple of 5? True Let j(n) be the second derivative of n**4/12 + 4*n**3/3 + 8*n**2 + n. Let m be j(-7). Is 4 a factor of m*3/((-3)/(-2))? False Suppose 0 = k - 5*k + 32. Let h(t) = 3*t + 6. Does 30 divide h(k)? True Let f(h) = h**3 + 3*h**2 - 5*h - 3. Suppose 0 = 3*s - 5*z - 10 - 9, -2*z - 13 = -3*s. Let i be 0/(1 - s) + 3. Is f(i) a multiple of 18? True Let d be (-1)/((-20)/(-35) + (-10)/14). Is 17 a factor of 5/((-10)/(-8)) - (-91)/d? True Suppose 5*d - 632 = 4*q + 1107, 3*d - 2*q - 1045 = 0. Is 39 a factor of d? True Let r(y) = -5*y + 6. Suppose k = -0*k. Suppose k = 4*h + 3*i + 18, h + h = 2*i - 2. Is r(h) a multiple of 7? True Suppose 3*t - 963 = -0*f + f, -5*f - 307 = -t. Does 23 divide t? True Let u(d) = -5*d + d**2 - d - d**3 + d**2. Let i(x) = x**3 - x**2 + 5*x + 1. Let b(l) = -4*i(l) - 3*u(l). Is b(-4) a multiple of 18? True Let f(o) = o**3 - 2*o**2 - 3*o + 3. Let j be f(3). Suppose 3*w + m - j*m - 50 = 0, -w = 5*m - 28. Does 18 divide w? True Let a = -14 + 10. Let v(h) be the second derivative of -13*h**3/6 + 2*h**2 + 3*h. Does 30 divide v(a)? False Suppose r + 424 = 5*p + 2*r, -r - 256 = -3*p. Is 5 a factor of p? True Suppose 3*m - 1126 - 1685 = 0. Does 31 divide m? False Suppose -3*b + 1 = -2*w, -b + 2*w + 7 = 4*b. Suppose -v - 134 = -3*i, -v - 109 = -b*i - 5*v. Is i a multiple of 16? False Is 18 a factor of (-46)/(-11) - 4 - 16826/(-22)? False Let q(c) = -2*c + 1. Let n be q(2). Suppose 5*d - 17 = -3*y, 5*d + 15 = -4*y + 31. Is 6 a factor of y/((-3)/27) - n? True Let w = 149 + -25. Suppose -b + 5*b - 116 = f, -4*f + w = 5*b. Is b a multiple of 7? True Let t = -11 + 14. Suppose t*l - 122 = -20. Suppose -p - 4 = -l. Does 15 divide p? True Suppose 2*g = -5*r + 7888, r + 6308 = 5*r + g. Suppose r = 6*y + 2*y. Is 25 a factor of y? False Suppose -8*i + 4*i = -104. Suppose -c + i = 2*r, 74 = 4*c - 2*r + 10. Is 6/c - (-238)/6 a multiple of 10? True Suppose -613 = -2*l - 3*p - 29, 4*l - 3*p - 1186 = 0. Does 10 divide l? False Let n = -21 + 26. Suppose -2*v + a = -11, -n*v + 4*a + 7 = -28. Suppose v*t - 88 = -13. Is 5 a factor of t? True Let g(n) = -2*n**3 + 4*n**2 + 3*n + 2. Let d be g(-3). Suppose -87 = -t + 2*b, -2*b = 5*t - 4*t - d. Is 17 a factor of t? True Let r = -18 - -23. Let y be (r/(-3))/((-10)/30). Suppose -2*o + 72 = f, y*f + 108 = -0*o + 3*o. Is o a multiple of 6? True Let l be (5 + -1 + -4)/(0 - 2). Suppose 153 = 4*s + 2*m - 109, 4*m + 20 = l. Is 17 a factor of s? True Suppose 5*x = -3*k + 29 + 7, 8 = k + 3*x. Suppose -3*n - 167 = -3*a - k, -3*a = -4*n - 149. Is 18 a factor of a? False Suppose 5*t + 4*k - 51 = 214, 0 = -3*t + 2*k + 181. Is 19 a factor of t/((-4)/((-48)/9))? True Is 1393/2*25/((-1225)/(-28)) a multiple of 21? False Let u(h) = 2*h**3 - 12*h**2 - 19*h + 49. Let c(a) = -a**3 + 6*a**2 + 10*a - 25. Let n(s) = -7*c(s) - 4*u(s). Does 5 divide n(6)? True Let y(w) = 179*w + 22. Does 28 divide y(5)? False Let z(a) = 5*a + 0*a + 13 + 16*a. Let x = -24 - -28. Is 19 a factor of z(x)? False Suppose 16*j + 3312 = 16272. Is j a multiple of 30? True Suppose -2*x - 17 = -5*h, -4*h - 4*x = -5 - 3. Suppose j = -h*g + 11, 3*j - 2*j - 15 = -5*g. Suppose -3*r = g*r - 40. Is 2 a factor of r? True Let x be (-687)/(-3) + -1 + -2. Suppose -44 = -h - 3*i + 34, i - x = -3*h. Suppose 2*g - h = 13. Is g a multiple of 22? True Suppose -46*d = -43*d - 240. Let m = -69 + d. Is 2 a factor of m? False Let b be (876/10)/(3/10). Suppose -i = -6*i + 2*s + b, 0 = 2*i - 5*s - 100. Is i a multiple of 7? False Let a be (7 - 8)/(2/(-16)). Let s = a + -6. Suppose c - 117 = -2*x + s*c, x - 66 = -c. Does 21 divide x? False Suppose -y + 236 = -i - 104, 4*i - 360 = -y. Does 11 divide y? False Let s = 16 - 13. Suppose -s*j + 16 = j. Suppose 2*g - j = -3*p + 35, 4*g - 5*p - 67 = 0. Does 14 divide g? False Is 18 a factor of (2/(-9) - (-4185)/243)*39? False Let a = 86 + 121. Let k = a + -68. Is 23 a factor of k? False Let b = 281 - 257. Does 15 divide b? False Suppose 57 = 2*r + 17. Does 10 divide r? True Let z(u) = 9*u**2 + 8*u + 24. Does 11 divide z(-5)? True Let n(c) = 9*c + 10. Let f(d) = -4*d + 5 - 9 - 4*d - 7. Let w(l) = 6*f(l) + 5*n(l). Does 3 divide w(-10)? False Suppose 0 = -3*k + 2*r + 85, k - r + 0*r = 29. Let h = 60 + -123. Does 14 divide h/(3 + k/(-6))? True Let g = -11 - -8. Let v(y) = -2*y**3 + y**2 + 4*y - 1. Is 5 a factor of v(g)? True Suppose 12*c = 15*c. Let w be 26/6 - 2/6. Let b = c + w. Is 4 a factor of b? True Let y = 44 + -41. Suppose u + 45 = l + 177, u - 138 = y*l. Is u a multiple of 11? False Let c(o) = o**3 + o**2 - o - 4. Let b be c(0). Is 12 a factor of 44*(1 + 2/b)? False Suppose -4 + 6 = -o. Let k be (-6)/o + 0/(-5). Is 10 a factor of 1 + 39/k*5? False Let f = 25 - -47. Is f a multiple of 3? True Suppose -2*j - 125 = -4*j - 3*b, -4*b - 300 = -4*j. Is j a multiple of 14? True Let w be (13/2)/(13/4 - 3). Does 3 divide ((-1)/(-3)*w)/((-58)/(-87))? False Let c(z) = 7*z**2 - 9*z + 10. Suppose 11*k - 42 = 13. Is 10 a factor of c(k)? True Let s(n) = -69*n - 104. Does 16 divide s(-6)? False Let g = 2271 - 1430. Does 56 divide g? False Does 78 divide -2 - ((-6713)/7 + -6)? False Let v(k) = -18*k - 6. Let t be v(3). Does 20 divide (t/9)/((-1)/15)? True Let k be -5 + -3 + 4 - 3 - -2. Is -1*(10 + k - 120) a multiple of 5? True Suppose -56 - 584 = -10*x. Suppose 0 = 2*o - 0*d - 3*d - x, 0 = 3*o + 5*d - 115. Does 7 divide o? True Let l be (-24 - -2)*(-2 + 5). Is 12/l + (-739)/(-11) a multiple of 14? False Let a(z) = 29*z - 154. Is 6 a factor of a(8)? True Does 13 divide 17 + -14 + 3 + 984 + -1? False Suppose 0 = 3*b + 14 - 41. Suppose -60*j + 350 = -53*j. Let a = j - b. Does 14 divide a? False Let u(d) = -209*d - 8. Let h be u(-2). Let i = -242 + h. Does 28 divide i? True Suppose 3*h = -2*h - x + 5497, -3*x + 1091 = h. Is 50 a factor of h? True Let j be (6/6)/(1/3). Does 10 divide (21/6 - j)*118? False Let s(g) = -2*g**3 - 10*g**2 + 32*g - 8. Does 6 divide s(-10)? True Let v(z) = 4*z**3 + 67*z**2 - 9*z - 2. Is 13 a factor of v(-16)? True Let k(c) = 88*c + 28. Let s be k(8). Suppose 0 = 4*o + 2*x - 584, -5*o + 2*x + s = 5*x. Is o a multiple of 15? False Does 43 divide (-5 + 67004/(-84))/(2/(-6))? True Suppose -86*t = -88*t + 808. Does 4 divide t? True Let o = 8 + -11. Let d be 2/3 - 16/o. Suppose -2 = m, 33 = 5*a + 3*m - d. Does 4 divide a? False Let k be -7 - (0 - -4)/4. Is k/(2/(-1)) - -13 a multiple of 17? True Let i(m) = m - 9. Let f be i(8). Let b = 3 - f. Suppose 5*g + 5 = 0, -b*x - 5*g + 36 + 103 = 0. Does 18 divide x? True Is 143 a factor of ((-14 - 16) + 17)/((-2)/572)? True Let c(v)
{ "pile_set_name": "DM Mathematics" }
(99). -18*sqrt(11) - 4 Simplify (sqrt(13) + sqrt(26)/sqrt(2))*-1 - sqrt(156)/(2*sqrt(12)). -5*sqrt(13)/2 Simplify sqrt(25)/(-1*sqrt(180)). -sqrt(5)/6 Simplify (-5*(sqrt(3) + -3) - (sqrt(243) + -1))**2. -448*sqrt(3) + 844 Simplify -4*(sqrt(52)/(sqrt(8)/sqrt(2)))**2. -52 Simplify 5 + 1*sqrt(396) + -1. 4 + 6*sqrt(11) Simplify (sqrt(2299) - (sqrt(2299) + 0)**2)*-5 + 1. -55*sqrt(19) + 11496 Simplify 4*sqrt(192)/(sqrt(4) - (sqrt(100) - sqrt(4)) - sqrt(4)). -4*sqrt(3) Simplify (-5*-1*sqrt(26))/(sqrt(4)/(2*sqrt(2))). 10*sqrt(13) Simplify (3*((sqrt(40) - sqrt(360)) + sqrt(40)))/(5*2*sqrt(8)). -3*sqrt(5)/10 Simplify (sqrt(405) - (sqrt(405)*-1 + sqrt(405))**2) + -3. -3 + 9*sqrt(5) Simplify (-1 + sqrt(5) + -5 + sqrt(135)/sqrt(3))**2. -48*sqrt(5) + 116 Simplify (sqrt(30) - sqrt(240)/(sqrt(24)/sqrt(3)))/(sqrt(40)/(-2*sqrt(4) - sqrt(4))). 0 Simplify (sqrt(4000) - -3*sqrt(4000))/sqrt(8). 40*sqrt(5) Simplify -2 + sqrt(275) + sqrt(77)/(sqrt(7) + sqrt(343)). -2 + 41*sqrt(11)/8 Simplify -1*(sqrt(1584) + 2 + -1). -12*sqrt(11) - 1 Simplify (sqrt(133) + (sqrt(133) - (-1*sqrt(133) + sqrt(133) + sqrt(133))))/sqrt(7) + sqrt(19) + (sqrt(19)*2)**2*4. 2*sqrt(19) + 304 Simplify (1*(sqrt(931) + 2 + sqrt(931)) + 5*(sqrt(931)*1 + sqrt(931)) + sqrt(931))**2. 364*sqrt(19) + 157343 Simplify -2*(2*(sqrt(70) + (sqrt(70) - sqrt(70)*-2)) + sqrt(70))/sqrt(10). -18*sqrt(7) Simplify -6*sqrt(304)*-4. 96*sqrt(19) Simplify -5*((sqrt(45) - sqrt(270)/sqrt(6)) + sqrt(45))**2. -225 Simplify (1*(sqrt(14) - -2*sqrt(14)))/(1*sqrt(2)*-5). -3*sqrt(7)/5 Simplify 1 + (sqrt(8)/sqrt(36))**2 + 0. 11/9 Simplify -1 + (5 + -3 + sqrt(80)*-2)**2. -32*sqrt(5) + 323 Simplify (-3*(0 + sqrt(2000)))**2. 18000 Simplify sqrt(171)/(sqrt(9) + -1*sqrt(36)). -sqrt(19) Simplify (sqrt(121) - 2*-2*sqrt(121))/sqrt(11) - 5*(0 + sqrt(275)). -20*sqrt(11) Simplify (sqrt(117) - (sqrt(117) - -1*sqrt(117))*3)*-5. 75*sqrt(13) Simplify -6*(-4 + (sqrt(6)/sqrt(3) + -2 - (0 + sqrt(162)))). 36 + 48*sqrt(2) Simplify 5*(sqrt(20) - (-1 + 4 + sqrt(20))**2). -145 - 50*sqrt(5) Simplify -5*-2*sqrt(208). 40*sqrt(13) Simplify (sqrt(612) - (1*(sqrt(612) - (sqrt(612) + -1)) - sqrt(612)))**2*2. -48*sqrt(17) + 4898 Simplify sqrt(39)/sqrt(3) + -5 + (sqrt(65)*2 - sqrt(65))/sqrt(5) + 0. -5 + 2*sqrt(13) Simplify (-3 + sqrt(1377) + 0 - (sqrt(1377) + 1*sqrt(1377) + 2))**2. 90*sqrt(17) + 1402 Simplify (-1*sqrt(400))/(sqrt(8) + sqrt(56)/(sqrt(21)/sqrt(3))). -5*sqrt(2)/2 Simplify (5*sqrt(112) - sqrt(112))/sqrt(4). 8*sqrt(7) Simplify -1*sqrt(500)*2 + 0 + -4. -20*sqrt(5) - 4 Simplify -5 + 0 + sqrt(117) + -1 + sqrt(117). -6 + 6*sqrt(13) Simplify -1 + (sqrt(22) - -1*sqrt(22))/sqrt(11). -1 + 2*sqrt(2) Simplify (sqrt(132)/sqrt(3) + 1 + sqrt(44) + (sqrt(44) - (sqrt(88)/sqrt(2) - sqrt(44))) + 1)**2. 24*sqrt(11) + 400 Simplify -2*(5 + (sqrt(11) + sqrt(1584)*1 - sqrt(11)))**2. -3218 - 240*sqrt(11) Simplify (-6*(sqrt(54) + sqrt(6))/sqrt(2))**2. 1728 Simplify ((sqrt(18)*3)/sqrt(9))**2 + (-2 + sqrt(10)/sqrt(5) + sqrt(2) - sqrt(2)). sqrt(2) + 16 Simplify (4 + (sqrt(2057) - (-3*sqrt(2057) + sqrt(2057))) + sqrt(2057))**2. 352*sqrt(17) + 32928 Simplify 5*(-3*sqrt(209))/sqrt(11)*1. -15*sqrt(19) Simplify (sqrt(3) + sqrt(3) + -1 + 2 + -5*(2 + sqrt(3)))**2. 54*sqrt(3) + 108 Simplify -4*((sqrt(108) + sqrt(108)*-1 + sqrt(108) + sqrt(108))/sqrt(9))/(2*sqrt(24)/sqrt(4)). -4*sqrt(2) Simplify (sqrt(84)/(sqrt(108)*-1))**2. 7/9 Simplify sqrt(153)/(sqrt(81)*-2)*1. -sqrt(17)/6 Simplify ((sqrt(189) - sqrt(189)*6) + sqrt(21))/sqrt(7). -14*sqrt(3) Simplify ((sqrt(7) - sqrt(42)/sqrt(150)) + (sqrt(7)*-1 - sqrt(7))*-3)*2. 68*sqrt(7)/5 Simplify 4 + (-4 + 1 + sqrt(17))**2. -6*sqrt(17) + 30 Simplify -1*(3 + sqrt(13)) + (sqrt(13) + sqrt(130)/(sqrt(10) + sqrt(90) + sqrt(10)) - sqrt(13))**2. -sqrt(13) - 62/25 Simplify ((sqrt(132)/sqrt(150) + sqrt(22))/sqrt(11))**2. 72/25 Simplify (sqrt(192) + (-1 + sqrt(192) - sqrt(192)) + -5)**2*-6. -1368 + 576*sqrt(3) Simplify -2*(4*(sqrt(5) + sqrt(5)*3))**2. -2560 Simplify ((0 + sqrt(98) + sqrt(98) + 3 + sqrt(98))*-2*-3)**2. 4536*sqrt(2) + 32076 Simplify ((sqrt(228) - -1*sqrt(228))/sqrt(4))/(-1*sqrt(243))*-2. 4*sqrt(19)/9 Simplify (1*sqrt(34)*-2)/sqrt(2) + ((sqrt(17) + sqrt(85)/(-1*sqrt(5)))**2 - sqrt(17)) + -2. -3*sqrt(17) - 2 Simplify (4*(5 + sqrt(832) + -1))**2 + -2. 1024*sqrt(13) + 13566 Simplify sqrt(26)/(4*sqrt(32)). sqrt(13)/16 Simplify ((sqrt(13) - sqrt(117)/(sqrt(9)*1)) + (sqrt(1872)*1)**2)*-5. -9360 Simplify -2 + (sqrt(130) + sqrt(130)*2)/sqrt(10). -2 + 3*sqrt(13) Simplify (sqrt(28)/sqrt(4)*1 + sqrt(343)*6)**2. 12943 Simplify ((1*sqrt(19) + 1 - sqrt(19))**2 - sqrt(209)/(sqrt(44)/sqrt(4))) + 2. -sqrt(19) + 3 Simplify (-5*sqrt(180)/sqrt(5))/((sqrt(132) - -3*sqrt(132))/sqrt(11)). -5*sqrt(3)/4 Simplify (sqrt(19)*-2*2)**2 + sqrt(19) - (1*sqrt(76))**2. sqrt(19) + 228 Simplify -2*(sqrt(13) - sqrt(52))*3. 6*sqrt(13) Simplify -5 + 0 + sqrt(7) + (-2 + sqrt(112) + sqrt(112))**2. -31*sqrt(7) + 447 Simplify ((sqrt(128) + 0)*2 + -1)**2. -32*sqrt(2) + 513 Simplify 2 + sqrt(108) + 1 + 2 + sqrt(108) + -1. 4 + 12*sqrt(3) Simplify 1*(sqrt(192)*-1 + sqrt(3) + 0). -7*sqrt(3) Simplify (((sqrt(133)*-2 + sqrt(133))*-4)/(-2*(sqrt(7) + sqrt(28)/sqrt(4))))**2. 19 Simplify 3*(sqrt(75) + (sqrt(75)*1)**2 - (sqrt(36)/(sqrt(12)*2))**2). 15*sqrt(3) + 891/4 Simplify (sqrt(13) + -2 + -3 - sqrt(39)/(sqrt(3) + sqrt(108)))**2. -60*sqrt(13)/7 + 1693/49 Simplify -6*(2 + sqrt(21)/sqrt(3) - (-1 + sqrt(847))). -18 + 60*sqrt(7) Simplify (-4*(sqrt(1088) - (0 + sqrt(1088))))**2. 0 Simplify (sqrt(56)/(-2*sqrt(7) + sqrt(7)))/(sqrt(4) + sqrt(32)/(sqrt(48)/sqrt(6))). -sqrt(2)/2 Simplify (sqrt(200)*-1*1 - sqrt(200)) + -4. -20*sqrt(2) - 4 Simplify (sqrt(99)*-2 + -1)**2*-5*-3. 180*sqrt(11) + 5955 Simplify ((sqrt(392)/sqrt(63))/sqrt(8))**2 + -5. -38/9 Simplify (sqrt(252)/(-2*sqrt(12)))/(2*sqrt(567) + sqrt(7))*1. -sqrt(3)/38 Simplify (sqrt(2) + sqrt(8))*3 + -4. -4 + 9*sqrt(2) Simplify 5 + sqrt(175)*1. 5 + 5*sqrt(7) Simplify ((-1*sqrt(68)*-6)/((sqrt(8)/sqrt(2) + sqrt(4))*2))**2. 153/4 Simplify (sqrt(224)/sqrt(2))**2*-1. -112 Simplify (sqrt(85) + ((sqrt(85)*-1 - sqrt(85)) + sqrt(85))*3)/sqrt(5)*2. -4*sqrt(17) Simplify (sqrt(20)*-2 + sqrt(5) + -1)*-2. 2 + 6*sqrt(5) Simplify 2*(sqrt(1296)*-1)/(-1*sqrt(512)). 9*sqrt(2)/4 Simplify (3*(1 + sqrt(19)) - (sqrt(76) + -1))**2 + 1. 8*sqrt(19) + 36 Simplify -3*(sqrt(76) - (sqrt(76) + (2 + (sqrt(76) - (sqrt(76) + -1)))**2 - sqrt(76))). -6*sqrt(19) + 27 Simplify 6*-3*sqrt(1573) + -4. -198*sqrt(13) - 4 Simplify (sqrt(24) + (sqrt(24) - (sqrt(600) + sqrt(600) + -2*sqrt(600))))/(sqrt(968) + sqrt(968) + sqrt(968) + (-1*sqrt(968) - sqrt(968)))*2. 4*sqrt(3)/11 Simplify ((sqrt(304) - (sqrt(304) + 1*sqrt(304)) - sqrt(304))*-3)**2*-4. -43776 Simplify (((sqrt(84)*-3 - sqrt(84)) + sqrt(84))*-3)/(5*-2*sqrt(12)). -9*sqrt(7)/10 Simplify ((sqrt(5) + -1)*-2 + -5*sqrt(80) + 2)**2. -176*sqrt(5) + 2436 Simplify (-3 + (2*sqrt(833) - sqrt(833)))**2. -42*sqrt(17) + 842 Simplify sqrt(63)/(-6*sqrt(36)). -sqrt(7)/12 Simplify sqrt(26)/(-3*sqrt(32))*5. -5*sqrt(13)/12 Simplify sqrt(55)/(2*sqrt(180)) + (-5*sqrt(176)*2)**2 + sqrt(176). 49*sqrt(11)/12 + 17600 Simplify (4*sqrt(380)/sqrt(10))/sqrt(2). 4*sqrt(19) Simplify 4*(-2*sqrt(204))/sqrt(12). -8*sqrt(17) Simplify (sqrt(22)*-1)/sqrt(11) - (sqrt(72))**2. -72 - sqrt(2) Simplify (4 + sqrt(2057) + -1 + -5)**2. -44*sqrt(17) + 2061 Simplify ((2 + (sqrt(19) - (sqrt(19) + sqrt(19) + -1)))*3 - ((sqrt(19) - -1*sqrt(19)) + -4 - (1 + sqrt(931))))**2. 56*sqrt(19) + 272 Simplify (-5 + -4 + -2 + sqrt(171) + sqrt(171))**2. -132*sqrt(19) + 805 Simplify (sqrt(55)/(sqrt(405)*1 + sqrt(405) - sqrt(5)))**2. 11/289 Simplify 5 + sqrt(50) + -5. 5*sqrt(2) Simplify (4*(sqrt(847) + 1) + sqrt(847) + sqrt(847) - (sqrt(847) + 0 + sqrt(847))*-6)**2. 1584*sqrt(7) + 274444 Simplify (4 + 0 + sqrt(98))**2 + 1. 56*sqrt(2) + 115 Simplify -4*(-2 + sqrt(153))*4. -48*sqrt(17) + 32 Simplify -2*-6*sqrt(245)*-2*-5. 840*sqrt(5) Simplify (sqrt(76)/((-2*sqrt(24) - sqrt(24))/sqrt(6)) - 2*(1 + 0 + sqrt(19)))**2. 28*sqrt(19)/3 + 967/9 Simplify (-1*(sqrt(28) + -2 + (sqrt(84) + (sqrt(84) - sqrt(84)*-2))/sqrt(12)))**2*-5. -1280 + 120*sqrt(7) Simplify ((0 + sqrt(1700) + -3 - -6*-2*sqrt(1700)) + 2)**2. 220*sqrt(17) + 205701 Simplify 1*((sqrt(272) + 0)**2 + 4)*-4. -1104 Simplify (6*sqrt(110)/(sqrt(250
{ "pile_set_name": "DM Mathematics" }
et s(t) = -41*t - 1. Let u(g) be the first derivative of g**3 - 93. Calculate u(s(l)). 5043*l**2 + 246*l + 3 Let v(r) = 3*r. Let o be ((-8)/(-16))/((-258)/(-84) + -3). Let i(l) = -l + 6. Let x be i(4). Let n(z) = -z**2 + 9*z**x - o*z**2 + 8*z**2. What is v(n(u))? 27*u**2 Let o(s) = s + 177 - 177. Let f(z) = z**2 + z. Let a(c) = -2*c**2 - 3*c. Suppose 12 = -5*p + 2*m - 0, -4*p = m + 7. Let i(h) = p*a(h) - 6*f(h). What is o(i(g))? -2*g**2 Let u(z) = 10*z**2. Let s(a) = 12*a**2 - 3*a. Let h(k) = -12*k**2 + 2*k. Let j(x) = -3*h(x) - 2*s(x). Determine j(u(b)). 1200*b**4 Let f(s) = -122*s**2 - 10. Let q(b) = -12*b. Calculate q(f(l)). 1464*l**2 + 120 Let v(p) = 109*p - 460. Let h(k) = k**2. Give h(v(c)). 11881*c**2 - 100280*c + 211600 Let i(o) = -1397*o. Let s(x) = -7*x**2 + 7. Give i(s(d)). 9779*d**2 - 9779 Let f(z) = 26*z. Let i(s) = 128*s**2. Give f(i(o)). 3328*o**2 Let r(o) = -13*o. Let w(l) = -9325*l**2 - l. Give w(r(p)). -1575925*p**2 + 13*p Let r(t) = 6*t**2. Let f(w) = -153885*w. What is r(f(z))? 142083559350*z**2 Let k(x) = 21*x**2. Let n be 8/(-16) - 3/(-6)*17. Let a(h) = 6*h - 8. Let g(i) = -4*i + 5. Let v(r) = n*g(r) + 5*a(r). Calculate v(k(d)). -42*d**2 Let h(m) = 2*m. Suppose 2*p - 4 = 2*w, -2*p - 5*w = -6*w - 4. Let o(g) be the second derivative of g + 0*g**3 - 3/4*g**4 + 0*g**p + 0. Give h(o(f)). -18*f**2 Let q(g) = 41*g - 3410. Let u(s) = -20*s. Calculate q(u(i)). -820*i - 3410 Let i(m) = m**2. Let g(z) = 6*z**2 - 37298*z. Give g(i(d)). 6*d**4 - 37298*d**2 Let l(g) = -3*g**2 + 7. Let n(z) = 2*z**2 - 5. Let j(u) = 5*l(u) + 7*n(u). Let r(q) = 19*q**2 - 17*q**2 - q**2. What is j(r(p))? -p**4 Let h(a) = 2*a. Let f(y) = -26*y - 2. Let j(r) = 1. Let s(i) = -f(i) - 2*j(i). Give s(h(v)). 52*v Let m(y) = 29*y**2. Let o(h) = 1752 - 1752 + 10*h**2. What is o(m(s))? 8410*s**4 Let s(i) = -18*i**2 - 19*i + 1. Let j be s(-1). Let g(l) be the first derivative of 0*l + 2/3*l**3 + 0*l**j - 6. Let r(w) = w. Determine r(g(b)). 2*b**2 Let u(o) = -8*o**2 - 2*o. Let k(i) = 6473*i. Calculate k(u(j)). -51784*j**2 - 12946*j Let p(d) = -5*d. Let r(f) = 10250*f**2 - 205*f + 205. Let z(i) = -151*i**2 + 3*i - 3. Let w(n) = -3*r(n) - 205*z(n). Give w(p(j)). 5125*j**2 Let a(o) = -3*o**2 + 2*o + 2. Let j(l) = 14*l**2 - 11*l - 11. Suppose 2*h + 2 = 3*h. Let m(v) = h*j(v) + 11*a(v). Let t(n) = 7*n. Give m(t(r)). -245*r**2 Let d(c) = 4*c**2. Let p(i) = -i**3 - 16*i**2 + 18*i + 23. Let f be p(-17). Let q(j) = 8*j**2 - f*j**2 - 5*j**2. Give q(d(b)). -48*b**4 Let d(u) = 3 - 2 - 8*u**2 - 1 + 9*u**2. Let m(a) = 11*a. Determine m(d(x)). 11*x**2 Let y(q) = 114*q. Let m(i) = -3*i + 2. Let z(p) = 14*p - 8. Let h(u) = 4*m(u) + z(u). Determine h(y(k)). 228*k Let c(q) = -30*q**2 - 2*q. Let m(r) = 4*r + 257 - 2*r - 257. Determine m(c(t)). -60*t**2 - 4*t Let o(k) = 4*k**2 - 703*k + 703*k - 35*k**2. Let i(t) = 3*t**2. Calculate i(o(a)). 2883*a**4 Let l(c) = -11*c. Let b(z) = 3573*z - 2. Calculate b(l(y)). -39303*y - 2 Let y(k) = 5*k - 3*k + 0*k. Let w(j) = j - 1. Let f(s) = -12*s + 20. Let a(r) = 2*f(r) + 40*w(r). What is y(a(q))? 32*q Let y(x) be the third derivative of -x**4/8 + 908*x**2. Let s(r) = -1. Let v(i) = -5*i + 5. Let w(o) = 10*s(o) + 2*v(o). What is y(w(t))? 30*t Let q(o) = -42*o**2 - 27*o + 27. Let a(f) = -6*f**2 - 4*f + 4. Let u(s) = -27*a(s) + 4*q(s). Let b(p) = 2*p - 13. Calculate b(u(v)). -12*v**2 - 13 Let w(a) = -351*a - 54. Let m(k) = 32*k + 5. Let p = -88 - -34. Let z(s) = p*m(s) - 5*w(s). Let t(n) = -n**2. Determine z(t(g)). -27*g**2 Let v(p) = -3*p**2. Let d(y) = -9*y. Let l(o) = 198*o. Let m = -17 + 15. Let b(z) = m*l(z) - 45*d(z). Determine b(v(u)). -27*u**2 Let h(b) = 46*b**2. Let a(p) = 252*p**2 + 255*p**2 - 500*p**2. What is h(a(s))? 2254*s**4 Let u(a) = -5*a. Let v = -7 + 10. Let m(s) = -v*s - s + 2*s + s. Give m(u(o)). 5*o Let h(a) be the first derivative of -2*a**3/3 + 45. Let z(j) be the first derivative of j**3 - 20. Determine z(h(w)). 12*w**4 Let q(s) be the third derivative of s**5/2 - s**3/3 - 377*s**2. Let i(x) = -4*x**2. Give i(q(h)). -3600*h**4 + 480*h**2 - 16 Let i be (2 + 1)*2/3. Let m(t) = 3*t - t**i + t - 4*t. Let o(h) = -18*h**2. What is m(o(u))? -324*u**4 Let i(h) = 2*h**2. Let z(f) = -505*f**2 + 35*f - 35. Let m(l) = -42*l**2 + 3*l - 3. Let y(v) = 35*m(v) - 3*z(v). Give y(i(r)). 180*r**4 Let k(t) = 299*t. Let w(s) = -8*s**2 - 4. Determine w(k(h)). -715208*h**2 - 4 Let b be (-220)/(-2) - -2 - 3. Let p(f) = 2*f**2 - 109*f + b*f. Let c(l) be the third derivative of -11*l**5/60 - 2*l**2. What is c(p(z))? -44*z**4 Let k(h) = 2*h. Let z(g) = -7*g - 87. Let o(i) = -6*i - 87. Let d(w) = 5*o(w) - 4*z(w). Determine d(k(a)). -4*a - 87 Let j(u) be the third derivative of u**4/24 - 4*u**2 - 41*u. Suppose n = 4*l - 12, -4*n - 3 + 6 = l. Let d(g) = 3*g + 3*g - l*g. What is j(d(h))? 3*h Let n(a) = 6*a. Let i(d) be the second derivative of d**4/6 + 12*d + 1. Calculate i(n(s)). 72*s**2 Let s(t) = 3*t. Let u(m) = -23*m. Let k(d) = 21*s(d) + 3*u(d). Let a(n) = -2*n + 24. What is k(a(i))? 12*i - 144 Let z(n) = 9*n - 23*n + 75*n - 2*n + 13*n. Let t(v) = 4*v. Give t(z(s)). 288*s Let c(r) = 2*r + 31. Let z(q) = -1188*q**2 - 1. Calculate c(z(p)). -2376*p**2 + 29 Let u(g) = 37*g. Let h(z) = -39*z + 2. What is u(h(v))? -1443*v + 74 Suppose -3*v + 2*v - 182 = -c, -4*c - 2*v + 758 = 0. Let t(k) = 192*k - 374*k + c*k. Let s(n) = 3*n. What is t(s(o))? 15*o Let z(v) = 549877*v**2. Let f(t) = -6*t**2. Give z(f(y)). 19795572*y**4 Let w(x) = 91*x + 104*x - 204*x. Suppose -5*k + 11 = -3*b, 3*b - 29 = -5*k - 0. Let n(m) = -4 + 2*m + k. Give w(n(s)). -18*s Let d(f) be the second derivative of f**4/6 + 103*f**3/3 - 44*f. Let w(p) = -2*p**2. Calculate d(w(z)). 8*z**4 - 412*z**2 Let l(d) = -64*d. Let p(i) = 12883*i**2. What is l(p(z))? -824512*z**2 Let b(y) = -15*y**2. Let n(z) = z - 8. Let t be n(-7). Let j be t - -14 - -3*1. Let r(v) = 12*v**2 - 20*v**j + 7*v**2. Give r(b(m)). -225*m**4 Let w(u) = -2*u. Let j(i) = i**2 + 60*i + 191. Determine w(j(m)). -2*m**2 - 120*m - 382 Let u(o) = -2*o**2. Let h(v) = -98*v + 107. Determine u(h(a)). -19208*a**2 + 41944*a - 22898 Let u(r) = 15*r**2. Let v(w) = -3*w + 4*w - 1 - 7*w + 4*w. Let i(p) = 1. Let j(o) = i(o) + v(o). Determine u(j(d)). 60*d**2 Let x(j) = 19149*j**2. Let a(d) = -15*d. What is a(x(u))? -287235*u**2 Let h(k) be the second derivative of -k**7/2520 + k**4 - 13*k. Let w(f) be the third derivative of h(f). Let b(s) = -2*s. What is w(b(z))? -4*z**2 Let j(p) be the third derivative of p**4/12 - 65*p**2. Let z(s) = 12*s**3 - 1. Let k be z(1). Let i(c) = -2 - k*c + 1 + 1. Determine j(i(h)). -22*h Let t(l) = 156*l**2 - l. Let o(i) = -7*i + 3. Calculate o(t(u)). -1092*u**2 + 7*u + 3 Suppose -6*r + 2*r - 2*i + 76 = 0, -3*i = -4*r + 56. Let z(w) = 44 - 28 - w**2 - r. Let q(c) = c**2. What is z(q(b))? -b**4 - 1 Let p(d) = -5*d**2. Let l(w) = -3392*w. Determine p(l(k)). -57528320*k**2 Let d(r) = 92*r. Let m(y) = -32*y - 32*y + 68*y. Determine d(m(v)). 368*v Let v(q) = -q**2 - q**2 + q**2. Let a(c) be the first derivative of c**4/3 - 3*c**2 + 9. Let r(l) be the second derivative of a(l). What is v(r(w))? -64*w**2 Let y(i) = -425*i. Let z(x) be the first derivative of x**2/2 - 4. Give y(z(u)). -425*u Let w(b) be the third derivative of -17*b**4/24 - 26*b**2. Let c(h) = -60*h. Let a(v) = 5*c(v) - 18*w(v). Let d(t) = -2*t**2 + 3*t**2 + t**2. What is d(a(k))? 72*k**2 Let y(p) = 17*p**3 - 13*p - 3. Let r be y(6). Let b(f) = 3591*f - r*f + 9*f**2. Let u(x) be the first derivative of -x**3/3 + 1. Determine b(u(v)). 9*v**4 Let u be 10/(-15) + (-17)/(-3). Let x(w) = 5*w + u*w - 7*w - 2*w. Let n(p) = -p + 3. Let i(d) = d - 5. Let t(v) = 3*i(v) + 5*n(v). What is x(t(z))? -2*z Let h(t) = 241851*t + 1. Let v(a) = 2*a. Calculate v(h(g)). 483702*g + 2 Let j(n) = 10*n + 389. Let i(z) = -10*z. What is j(i(b))? -100*b + 389 Let n(t) = -6*t. Let b(y) = 662*y**2 + 8. Calculate b(n(w)). 23832*w**2 + 8 Let u(v) = -15*v**2 + 2*v. Suppose 0*y + 3*y - 3 = 0, -y - 20 = -3*m. Let t(i) = -m*i - 3*i + 16*i - 5*i. Give u(t(n)). -15*n**2 + 2*n Let q(p) = -40*p**2 + 102*p**2 - 58*p**2. Let w(r) = -13*r. What is q(w(b))? 676*b**2 Let b(v) = 2*v**2. Let u(i) = -91*i - 90. Give b(u(t)). 16562*t**2 + 32760*t + 16200 Let p(z) = 11*z. Let q(f) be the first derivative
{ "pile_set_name": "DM Mathematics" }
17 Solve -2*s = 8, 55*v + 3*s + 12 = 52*v for v. 0 Solve -5*n = 20, -2*n - 335 = 2*p - 337 for p. 5 Solve 36 = -3*c + 3*h, -28 = 141*c - 144*c - 5*h for c. -4 Solve -a + 5*f - 6 = -16, 4*f + 8 = -a for a. 0 Solve -l - 12 = 6*l - 4*l, 9*l + 45 = n for n. 9 Solve -4*a + 2194 = -3*l + 2163, -4*a + 6 = 2*l for a. 4 Solve 2035*q - 5*h - 5 = 2038*q, -5*q - 2*h = 21 for q. -5 Solve 4*o - 2*b = -14, -o + b - 7 + 2 = 0 for o. -2 Solve -3*c = -p + 9, 25480*p - 25482*p = 7*c + 47 for c. -5 Solve 75*f + 12 = 80*f - 8*n, -5 = -2*f + 3*n for f. 4 Solve -5*y - 238 + 288 = 5*r, -3*y + 50 = 7*r for r. 5 Solve 1206 = 4*x - 2*c + 1218, -2*x + 4*c = 24 for x. 0 Solve -4*n = -6*n + 5*z - 28, n - 3*z + 16 = 0 for n. -4 Solve 0 = -o + 3*d - 1, 2*o + 37*d - 33*d = -2*o - 4 for o. -1 Solve 3 = 4*m - 3*s, 0*s - 25 = 5*m + 2*s for m. -3 Solve 0 = -3*p + 2*b - 14, -35*p - 4*b = -37*p - 12 for p. -4 Solve 135*u = -5*h + 136*u - 19, 2*u - 2 = h for h. -4 Solve -2*n = -4*y + 46, -5*y + n + 12118 = 12083 for y. 4 Solve 0 = -3*n - 3*z + 30, -178*n = -180*n - 4*z + 26 for n. 7 Solve 3*c = 8*f - 13*f + 7, -2*c + 30 = -22*c + 5*f for c. -1 Solve 6 = 2*y + 2*c, 818*y - 6 = 833*y - 2*c for y. 0 Solve -3579*g + w - 49 = -3583*g, 0 = 3*w - 3 for g. 12 Solve 18 = -l - l - 2*k, 3*k = 2*l - 22 for l. -1 Solve -3*y = 21, -3*o - 18 = -6*o + 5*y + 11 for o. -2 Solve 33 = 14*b - 11*b + 2*s, -s + 62 = 5*b for b. 13 Solve 88 = 2*q + 92, 5*q + 30 = 5*a for a. 4 Solve 0 = -3*d - 2*k + 9, 3*k + 42 - 46 = 5*d for d. 1 Solve -2*i + 7*s + 20 = 0, -i - 4*s - 12 = -7 for i. 3 Solve 39*o = -5*f + 42*o + 3, o + 1 = 0 for f. 0 Solve 5*q + 5*a + 35 = 0, -365 = 4*q + 3*a - 340 for q. -4 Solve 5*w - 28713*a + 28712*a = 21, -3*w = -3*a - 3 for w. 5 Solve 5*j - 4*r = -1228 + 1233, 0 = 5*j - 3*r for j. -3 Solve -3*l - y = 87 - 88, -y = l - 1 for l. 0 Solve -4*s + 3*v + 232 = 251, 6*s - 3*v = -9 for s. 5 Solve 250*w = 253*w + 7*z - 3*z - 2, -6 = 2*w - z for w. -2 Solve 3*w - 2*f = 50, 5*f + 433 - 413 = 0 for w. 14 Solve -j + 33 = -4*n, -12 = 3*n + 9 for j. 5 Solve 5*r - 1 = w, -9525*r = -2*w - 9524*r - 20 for w. -11 Solve -3*m + 4756 = 5*t + 4768, m + 2*t + 5 = 0 for m. 1 Solve z + 49 = -2*b + 11*b, -8*b + 9*b - 4*z - 21 = 0 for b. 5 Solve 3*s + 16 = -b + 27, -13 = -5*b - s for b. 2 Solve t = 2*v + 2, 0 = 998*t - 994*t - 3*v + 7 for t. -4 Solve z + 17 = -5*i, 46 = 3*z - 8*i + 28 for z. -2 Solve 3*s - 10564 + 10575 = 2*o, -2*s - 54 = -13*o for o. 4 Solve 5*t + o + 96 = 113, -4*t = -5*o - 31 for t. 4 Solve 13 = -0*d + 4*d + 7*r + 64, 5*d + 0*d - 4*r = 0 for d. -4 Solve -2*c = -c - 4*z + 25, 5710 = 5*c - z + 5702 for c. 3 Solve -4*a + 8*s = 9*s + 19, 0 = -3*a + 6*s + 6 for a. -4 Solve -2*d = 4*z - 24, -13*z + 0*d = -9*z - 4*d for z. 4 Solve -67*a + 37 = -4*l - 64*a, 0 = -3*l + 3*a - 27 for l. -10 Solve 45*l - 22*k - 18 = 41*l, 4*l + 3 = k for l. -1 Solve 28 = -2*g + 2*h, -4*g - 297*h = -300*h + 45 for g. -3 Solve -o + 1359*r = 1363*r + 31, 4*r + 1 = o for o. -15 Solve 324*q - 326*q = l + 1, 4*q - 13 = l for q. 2 Solve -153*z + 30 = -156*z - 2*u, 0 = 4*z + 71*u + 860 for z. -2 Solve 28 = 4*r + 2*j, 29*r - j + 11 = 34*r for r. -1 Solve -203*o + 206*o - 2*m = -5, 0 = 2*o - 5*m + 29 for o. 3 Solve 0 = 2*j - 4, 4641*j = -m + 4645*j - 8 for m. 0 Solve -5*m + 14 + 33 = -3*z, 80*z + 162*z = -4*m - 2162 for z. -9 Solve -2*t - 4*h - 4 = 0, -4*t = 2176*h - 2171*h + 2 for t. 2 Solve 2*s - 2*p + 15 - 5 = 0, 0 = -3*s + 2*p - 11 for s. -1 Solve -3*x + 1 = -5*r + 17, -20 = -2*r + 8*x for r. 2 Solve 1801*x - 1806*x + 35 = 3*n, -5*x + 40 = 4*n for x. 4 Solve 0 = 4*h - 3*d - 1, -2*d = h + 295 - 287 for h. -2 Solve 165 = 15*d, w - 32 = 4*w - 5*d - 1 + 36 for w. -4 Solve -3*c - 2*v - 1 = 0, -30*c + 12*c = -16*c + 214*v + 426 for c. 1 Solve 5*i = 465*o - 463*o - 5, 2*o = 2*i + 14 for o. 10 Solve 4*n + 2*m = 50, 2477*m - 2481*m = 4*n - 56 for n. 11 Solve m + 5*m - 11*m - 66 = -2*g, 2*g - 6 = 0 for m. -12 Solve 3*m - 49 = -4*a - 43, 2*a + 4 = -5*m for a. 3 Solve 5*t - 30*s = -27*s + 25, 8 = -t - 2*s for t. 2 Solve -35*m + 5*z + 20 = -30*m, 4*z - 16 = -4*m for m. 4 Solve -2*y = 2*w - 6, w = 19795*y - 19798*y + 13 for w. -2 Solve -647*s + 643*s + 5*p = 55, 9*s = -p - 38 for s. -5 Solve -4*y - 33*j = -37*j - 24, -6*j = 18 for y. 3 Solve -5*l - 3*z = 8, 0 = 5*l - 21*z + 4*z - 41*z - 358 for l. 2 Solve 0 = 2*n, 11647*o + 5*n - 25 = 11652*o for o. -5 Solve 4*q - 15*p + 57 = 8, 77*p + 10 = -q + 80*p for q. -1 Solve 2*s + 2 = 0, -17 = 82*f - 80*f + 5*s for f. -6 Solve 3*w = 4*p + 3, -46*w - 59 = -50*w - 13*p for w. 5 Solve -61*g + 3 = -62*g - 3*k, 2*g - 3*k = -6 for g. -3 Solve -17*h = -16*h - 1, -2*h = 4*j + 22 for j. -6 Solve 0 = -5*t + 2*l + 3, t - 91*l - 6 = -96*l for t. 1 Solve -4*f = 5*n + 26, -776*n + 779*n = 4*f - 22 for f. 1 Solve 0 = -4*d - 24, 0 = w - 2*d - 47 + 37 for w. -2 Solve 0 = 5*j - 4*a - 16, 4*a - 122 = 2*j - 126 for j. 4 Solve -4*n = -2*s + 14, -s + 3*s = -4*n - 26 for s. -3 Solve -6*z = -5*u - 15, 4*u - 5 - 27 = -4*z for u. 3 Solve -8*c + 1901*z - 1899*z + 40 = 0, 2*c + 4*z - 28 = 0 for c. 6 Solve 3*i - 11 = -36*z + 34*z, -3*z = 6 for i. 5 Solve 5*m - 52 = -4*n, 1133 - 1197 = 2*n - 5*m for n. -2 Solve 3*f + 2*z - 21 = 0, 4*f + 16*z - 17 = 17*z for f. 5 Solve 0 = 4*b + 28, -124*i + 125*i - 4*b = 33 for i. 5 Solve 13 = -5*h - 2*o, 4*h - 348*o = -345*o - 38 for h. -5 Solve -5*t = -2*a + 331 - 342, -t - 3*a = -9 for t. 3 Solve 4*f - 2*g + 72 = 86, -g = 5*f - 7 for f. 2 Solve 3*n - 11 = -h, 3*n - 754*h + 759*h = -5 for n. 5 Solve 0 = s - 3*c - 15462 + 15446, 3*c + 5 = -10*s for s. 1 Solve -2*h = -5*u - 17, 122385*h + 5*u = 122380*h - 10 for h. 1 Solve -m = -5*h + 119 - 99, 0 = -4*h + 3*m + 16 for h. 4 Solve 72*x - 5*s = 67*x - 80, -2*x = s - 10 for x. -2 Solve 0 = 4*x + 15*g + 40, -5*x - 6*g = -5*g - 21 for x. 5 Solve 10*h = 7*h + 3*j - 24, -4*h = -6*j + 38 for h. -5 Solve -5*k - 24*r - 24 = -20*r, 5*k = 3*r - 17 for k. -4 Solve -k = -4*f + 12, 4*f - 5*k = 9 + 3 for f. 3 Solve 0 = 3*l + 95*f - 94*f + 4, 0 = -l + 5*f - 28 for l. -3 Solve 5*l + 9753 - 9764 = -p, 0 = -p + 3*l - 5 for p. 1 Solve 4*x + 14 = -3*c, c + 400 = 5*x + 408 for c. -2 Solve -50 = -6*k + 5*r, -4*k - 1135*r = -1140*r - 40 for k. 5 Solve -4*o - 4*q - 48 = -84, 0 = -5*o + 3*q + 69 for o. 12 Solve -5*z + 61 = 3*r, -4*z - 21 = 2*r - 65 for r. 12 Solve i = -0*i + 3*p - 10, i - 2*p - 1586 = -1593 for i. -1 Solve 2*b + 143 = -a + 137, -4*b = 4 for a. -4 Solve 0 = 2*i - s - 65 + 68, 9 = -i - 2*s for i. -3 Solve 4*j + 721*i - 724*i = -20, 104 = 13*i for j. 1 Solve 4*v - 5*v = -4*n + 3*v, 2*n + 49 = -16*v - 23 for n. -4 Solve j = 4*v + 1, -3*v - 4*j + 6*j = 7 for v. 1 Solve -5*y = 60*s - 56*s + 74, -2*y = 3*s + 24 for y. -18 Solve u - 26 = 846*t - 851*t, 2*t - 11 = -u for u. 1 Solve 2*k - 1081*d - 28 = -1083*d, -2*d = 5*k - 30 - 31 for k. 11 Solve -48*v + 2 = -47*v - 4*i, 15*v - 3*i - 30 = 0 for v. 2 Solve 0 = -2*q - c - 11, 2*c = -2*q - 14 - 2 for q. -3 Solve -3*c + 2*c = 0, w - 2*c - 5 = -c for w. 5 Solve b + 5*x = 30, 4*b - 126*x = -122*x - 24 for b. 0 Solve -3*g = -3*m - 15, 0 = 35*m - 31*m - g + 11 for m. -2 Solve -13 = -5*x + 4*g, -128*g = -5*x - 130*g + 31 for x. 5 Solve 0 = -4*p + 5*h + 7, -3*p - 3*h + 99686 - 99701 = 0 for p. -2 Solve 203*f - 207*f - 5*j + 13 = 0, -4*f - 7 = j for f. -3 Solve -m - 53 = 3*n, -338 = -6*n + 4*m - 450 for n. -18 Solve 168*w + r = 155*w + 20, w + r - 8 = 0 for w. 1 Solve 0 = 2*k + 2*f + 4, 5*k + 2*f + 5 = -17 for k. -6 Solve 3*d + 19*t + 61 = 0, -2*t - 16 = -7*t - 21 for d. -14 Solve 14*q - 35 = 9*q, 3*x + 6*q = 4*q + 23 for x. 3 Solve -3*a - 3*q = 12, 101*a - 100*a = 3*q + 12 for a. 0 Solve 5*x + 180 = -3*r + 171, -4*x - 18 = -3*r for r. 2 Solve 5*j + 8 = 2*a, 9*j - 4*a + 16 = 5*j for j. 0 Solve 3*j = 3*n, -1195*n + 1196*n = 7*j + 18 for n. -3 Solve 2*b - 664 = -3*y - 614, -125 = 3*y - 5*b for y. 0 Solve 0 = -f - 4*w + 11, -3*f - 3*w - 13 = -10 for f. -5 Solve 9*y = -5*k - 43, -3*y + 2*k - 235 + 128 = -111 for y. -2 Solve 0 = -2*i + 2*d - 12, 2*i - 58*d = -62*d + 54 for i. 5 Solve -4*f + 5852 - 5818 = y, 5*f = 3*y + 34 for y. 2 Solve 5*t = 2*a + 16, 22 = 841*a - 840*a + 5*t for a. 2 Solve 156 = -5*i - 16*x, -6*i - 3*x - 17 = -2*i for i. 4 Solve -61*k + 64*k = 4*g - 4, -5*k - 22 = g for k. -4 Solve -3*g - 2826 = u - 2838, 0 =
{ "pile_set_name": "DM Mathematics" }
15 Suppose 26 = -5*w + 236. Let o = -4 + 4. Suppose o*h + 2*h = w. Calculate the remainder when h is divided by 12. 9 Let m be 72/7 - (-4)/(-14). Suppose j = 30 + m. What is the remainder when j is divided by (0 - 14/8)*-8? 12 Suppose -7*j - 4*m = -3*j - 260, 0 = -5*j - 2*m + 325. Calculate the remainder when j is divided by (136/10)/(-7 + (-37)/(-5)). 31 Calculate the remainder when 23 is divided by (28/12)/(1/6). 9 Let m = -7 - -20. Calculate the remainder when m is divided by 8. 5 Let a = 113 - 103. What is the remainder when 46 is divided by a? 6 Suppose -16*m + 20*m - 96 = 0. Calculate the remainder when 143 is divided by m. 23 Suppose 3*d = -2*d - 250. Let y = -35 - d. Let n = y + -11. Calculate the remainder when 10 is divided by n. 2 Let u = -7 + 11. Suppose -g + 0*g = 0. Suppose g = -3*j + 5*j - 10. What is the remainder when j is divided by u? 1 Suppose -n + 0*b = b - 4, n = -3*b - 6. Let z = n - 6. What is the remainder when 4 is divided by z? 1 Let u(m) = m + 17. Let r be u(-13). What is the remainder when (r/6)/(2/87) is divided by 10? 9 Let x be (-1)/5 + 186/30. Suppose -648 = -x*q + 78. Calculate the remainder when q is divided by 31. 28 Suppose 6 = -5*q + 3*d + 154, 4*q - 2*d = 118. Suppose 2*w = -19 - q. Let x = w - -50. What is the remainder when x is divided by 9? 8 Suppose 3*q + 4*n - 154 = 0, -q = 4*q + n - 285. Suppose -4 = s - 24. What is the remainder when q is divided by s? 18 Suppose -z = 2*t + 4, 5*z - z - 4*t - 32 = 0. Suppose 3*p - 45 = -3*w + 8*p, -3*w = z*p - 72. What is the remainder when w is divided by 7? 6 Suppose -4*g - 16 = -6*g. Suppose -k = -3*k + g. Suppose n - 4 = 0, 0 = -l - 3*n + 4*n + k. Calculate the remainder when 14 is divided by l. 6 Let i = 137 - -65. What is the remainder when 71 is divided by 1/(-4 - i/(-50))? 21 Let o be 657/(-15) - 1/5. Let z = -24 - o. What is the remainder when 38 is divided by z? 18 Let z = -11 + 6. Let b = z + 7. Suppose -3*y = b*y - 85. Calculate the remainder when y is divided by 9. 8 Let k be 3 - ((-2)/(-1) - 1). Let m(c) = c**2 - k*c - 2 - 9*c + 3*c + 5. Calculate the remainder when m(10) is divided by 6. 5 What is the remainder when 3 + (-26)/8 - (-1885)/20 is divided by 16? 14 Let h be (0 - -1)*2 - 1. Suppose -h = -s - 2. Let j = 2 + s. Calculate the remainder when 2 is divided by j. 0 Suppose -5*g + 2*g + 24 = 0. Calculate the remainder when 21 is divided by g. 5 Suppose 4*r = 6 - 2. Let g be 2 + (r - (2 + -2)). Suppose -4*t + 30 = 2*f, g*t + 3*f = -2*t + 38. Calculate the remainder when t is divided by 4. 3 What is the remainder when 41 is divided by (-21)/((-2)/(-5) - (-76)/(-40))? 13 Let a be (-6)/9 - 28/(-6). Suppose a*q - 7*r + 2*r - 100 = 0, -3*q + 80 = -5*r. What is the remainder when 77 is divided by q? 17 Let x = -42 + 80. What is the remainder when x is divided by (-4*4 + 3)/(-1)? 12 Suppose -5*p = 8 - 28. Suppose -m + 6 = p. Let u = m - -13. What is the remainder when 43 is divided by u? 13 Suppose 5*d - 100 = -4*b, -32 = -2*b - 0*d + 2*d. What is the remainder when 56 is divided by b? 16 Let m be 0 + 1 - (-1 + -3). Let t = m + 1. Suppose 4*j + 12 = 0, 3*w + 2*j - 4*j - 57 = 0. Calculate the remainder when w is divided by t. 5 Let n = 8 - -30. What is the remainder when 74 is divided by n? 36 Let l = -48 - -99. What is the remainder when l is divided by 11? 7 Let c(o) = o + 12. Let t be c(-8). Suppose 3*p + 10 = t*p. Calculate the remainder when 19 is divided by p. 9 Suppose -c + 0*c = 2*t - 25, -5*c - t = -134. Let r = 58 - c. Suppose 2*m = 4*w + m - 43, 0 = 2*m - 2. What is the remainder when r is divided by w? 9 Let w = -67 + 79. Calculate the remainder when 59 is divided by w. 11 Let i = 558 + -544. Let p(k) be the first derivative of -7*k**2/2 + 5*k + 1. What is the remainder when p(-5) is divided by i? 12 Suppose -131 = -9*i + 4*i - 4*r, -2*i - r = -50. Let n = i - 16. Suppose -3*w + n = -2*w. What is the remainder when w is divided by 2? 1 Suppose m - 6 + 1 = 0. Calculate the remainder when m is divided by 1. 0 What is the remainder when 12 is divided by (-5)/15 + (-48)/(-9)? 2 Suppose 3*g + 8 = 56. Suppose -5*p = -4*j - 45, -11 + 2 = -p - 3*j. What is the remainder when g is divided by p? 7 Suppose 2*q - 60 = -4*q. What is the remainder when 28 is divided by q? 8 Let l(o) = 4*o**2 - 11 + 0*o**2 - 3*o**2 - 5*o. Calculate the remainder when 24 is divided by l(8). 11 Suppose -4*a + 117 = 5*f, 2*a - f - 51 = -6*f. Let w(q) = -q**2 - 11*q - 1. Let r = -25 + 16. What is the remainder when a is divided by w(r)? 16 Let m = 9 - -3. Calculate the remainder when 47 is divided by m. 11 Suppose -3*w - 3*y + 42 = 0, -23 = -w - 6*y + 2*y. Let r = 5 + w. Calculate the remainder when 46 is divided by r. 14 Suppose 0 = -g - 5*j + 24, 3*j - 6*j + 28 = g. Suppose 3*y = 2*s - 8, -2*s + 5 = 5*y - 3. Let v = g + s. Calculate the remainder when v is divided by 20. 18 Suppose 4*l + 156 = 5*d + 24, 3*d - 2*l - 80 = 0. Calculate the remainder when d is divided by 15. 13 Let a(b) = b + 31. Let x be (-2)/4 - 2/(-4). What is the remainder when a(x) is divided by 8? 7 Let f = 4 - -31. What is the remainder when f is divided by 13? 9 Suppose -14*i - 139 = -461. What is the remainder when i is divided by 9? 5 Let t(w) = w**3 - 10*w**2 + 11*w - 1. Calculate the remainder when 61 is divided by t(9). 10 Let x(o) = 2 - o**2 - 2*o + 5*o + 2*o**2. Let a be x(-3). What is the remainder when -28*3/(a - 5) is divided by 10? 8 Let d be (-1 + 1)/1 + 71. Suppose m = -i + 29, -5*i = -0*m - 4*m + d. Calculate the remainder when 46 is divided by m. 22 What is the remainder when (15 + -14)*(1 + 3) is divided by 2? 0 Let h(c) = 4*c + 29. Let v = 46 - 21. Calculate the remainder when v is divided by h(-4). 12 Let a = 1 - 5. Let s = 1 + a. What is the remainder when 3*(-3 - 23/s) is divided by 4? 2 Let l(b) = 3*b**3 - 1 - 2*b**3 + 8*b**2 + 4*b - 7. Let z be l(-7). Let c = z - -1. Calculate the remainder when c is divided by 8. 6 Suppose -2*s + 5*t + 93 = -0*s, 4*s - 156 = 4*t. What is the remainder when 167 is divided by s? 31 Let g(h) = h**3 - 12*h**2 + 3*h + 3. Calculate the remainder when 116 is divided by g(12). 38 Let c = 23 + 1. Suppose 140 = -15*f + 17*f. Calculate the remainder when f is divided by c. 22 Let v(s) = s**2 + 2*s - 5. What is the remainder when v(4) is divided by 10? 9 Suppose -4*f + 164 = 4*k, 0*k - 3*f + 79 = 2*k. What is the remainder when k is divided by 15? 14 Let i = 28 + -21. Let j(y) = -y**3 - 5*y**2 - 2*y - 6. Let r be j(-5). Let v = r + 0. Calculate the remainder when i is divided by v. 3 Suppose -4*b + 59 = -13. Suppose 0*m + 4*m - 245 = -5*w, w + 4*m - 33 = 0. What is the remainder when w is divided by b? 17 Let v(t) = 12*t. Let k be v(1). Suppose 2*o - 2*y - k = -0*y, -5*o + 51 = 2*y. What is the remainder when 24 is divided by o? 6 Let j(m) = m**2 - 9*m + 3. Let t be j(9). Suppose t*l - 7 = 2. Calculate the remainder when 8 is divided by l. 2 Suppose -2*y = -0*y. Suppose y*s - 36 = -2*s. Let i(p) = 7*p - 1. What is the remainder when i(5) is divided by s? 16 Let k(q) = -q**3 + 3*q**2 + 4*q - 3. Let t(p) = p**2 - 3*p - 5. Calculate the remainder when k(3) is divided by t(5). 4 Suppose 2*o - 39 - 43 = 0. Let v be (-4 - -1)*4/(-6). Suppose v*q - 42 = -q. Calculate the remainder when o is divided by q. 13 Suppose -54 = -4*h + 86. Suppose -h = -2*w + 3. Calculate the remainder when w is divided by 7. 5 Let u(l) = l**3 - 6*l**2 + 4*l - 19. Calculate the remainder when u(7) is divided by 17. 7 Let o be (-4)/(24/9)*-6. What is the remainder when o - (2 + -2 + 2) is divided by 4? 3 Let u = -4 - -8. Let m = 9 - u. Suppose -n + 11 = -3*p, 0*n - 3*n = 3*p - 45. Calculate the remainder when n is divided by m. 4 Suppose -b + 2*g = -113, 4*b + g + 4*g = 452. Calculate the remainder when b is divided by 19. 18 Suppose 0 = -3*v - 5*j + 73, -15 = -v - 2*j - 2*j. Suppose -4*u + 0*o + v = 3*o, -o = 2*u - 15. Calculate the remainder when u is divided by 2. 1 Suppose -2*v = -2*i + 24, 4*i - 2*v = 6*i - 20. Calculate the remainder when 43 is divided by i. 10 Suppose 3*u = 2*o + 202, 3*o + 54 = 2*u - 79. Calculate the remainder when u is divided by 15. 8 Let q(t) = t + 2. Let s be (2 - 3)/(-1) + 1. Suppose -3*r + 14 = -u, 5*r + 0*u - 22 = s*u. Calculate the remainder when q(r) is
{ "pile_set_name": "DM Mathematics" }
-114.1 + 114. What is the nearest to 0.1 in s, -0.4, 4? s Let r = -0.437 - -0.037. Which is the nearest to -0.1? (a) 0.5 (b) -3 (c) r c Suppose 2*x = 3*x - 3. Suppose -3 = -x*l + 3. Let t = -0.397 - 0.103. What is the closest to 1/2 in t, l, -2? t Let k = 10.5 + -10. Let r = 1.7 + -9.7. Let i = 5 + r. What is the closest to -1 in i, -0.4, k? -0.4 Let t = -20 + 16. Let v = 3.9 + t. Suppose 0 = 2*c + 2*c + 4. What is the closest to v in -0.3, c, 2/3? -0.3 Let r = -0.06 - -0.36. Let i = -1 + 6. Suppose -4*k = k + i. Which is the closest to -1/2? (a) r (b) k (c) -3 b Let g = 2.5 + -2.6. What is the closest to 1 in 4, g, -2/9? g Suppose 0 = -2*m + 3*a + 5, 2*m = 3*m + a. Suppose -i = -2*i + m. Let s(o) = o**2 - o - 2. Let w be s(3). What is the closest to i in 0, w, 0.4? 0.4 Let s(p) = -149*p**2 + 4*p - 2. Let u be s(3). Let j = 26633/20 + u. Let x = -3/20 + j. Which is the closest to 1? (a) -1 (b) -4 (c) x c Let h = 0.189 - 0.139. Which is the closest to -0.1? (a) h (b) 0.4 (c) 1/4 a Let r = 1.06 - 0.06. Let j = -3 + r. What is the closest to j in -1/5, 0.5, -4? -1/5 Let r be 2/4*(-4)/(-10). Let q = -3/10 - r. Let d = -23 + 19. Which is the closest to q? (a) -2 (b) d (c) -3 a Suppose -i + 8 = -2. Let o = i + -8. Let m = -2 + 3. What is the nearest to m in -0.2, -2/11, o? o Let w = -77 - -541/7. Let z = -0.4 + -0.6. Which is the closest to w? (a) 5 (b) z (c) -0.5 c Suppose -3*z - 3*l - 24 = -6*z, z + 8 = -3*l. Suppose w + 17 = 3*g, -g - 3*g - 4*w = z. Let x = 1.7 - 1.3. What is the nearest to 0.1 in 2/9, x, g? 2/9 Let m = 0.16 + -0.08. Let z = m + 0.12. Let u = -10 + 7. Which is the closest to z? (a) 4 (b) -1 (c) u b Let a = 26 + -26.8. Let w = -1.2 + a. What is the nearest to -0.2 in 2/3, 2/7, w? 2/7 Let l be (-4)/6*(-5)/(-15). What is the closest to 0 in 2/5, l, -1? l Let o = -0.3 - -0.2. Let z = o - 1.9. Let l = z + 2. Which is the closest to 1? (a) -2/13 (b) l (c) 1/5 c Let f = 5.61 + 4.17. Let s = f + 0.22. Let i = s + -15. What is the closest to 0.1 in -0.3, i, 4? -0.3 Let z = 6 + -4. Let h(v) be the third derivative of v**4/24 - 5*v**3/6 + 4*v**2. Let d be h(6). What is the nearest to z in -1, 1/3, d? d Let a = -63.1 + 63. What is the nearest to -4 in a, -0.2, -2/3? -2/3 Let j = -0.4 - 6.6. Which is the nearest to 1? (a) j (b) -5 (c) 0.5 c Let w = 6 - 7. Let t = 113/144 - 9/16. Which is the nearest to -1/4? (a) w (b) -1/10 (c) t b Let m = 29 - 29. Let d = 0.03 + 0.37. What is the closest to -2 in m, d, 1? m Let x be ((-2139)/(-15) - 2) + -3. Let h = x + -138. Let q = 0.5 + 2.5. Which is the closest to h? (a) q (b) 1/6 (c) 4 b Let u(x) = -x**3 + x**2 - 12. Let i be u(0). Let v = i + 12. Which is the nearest to v? (a) 3 (b) -0.2 (c) -0.4 b Let r = -56 + 55.8. Let y = 31.4 - 36. Let m = y - -5. Which is the nearest to 1? (a) m (b) r (c) 2 a Let d(i) = -i + 10. Let k be d(14). What is the closest to 5 in -5, 4, k? 4 Let h = 0.013 - 0.413. What is the nearest to -1/3 in 2, -2, h? h Let m = -0.03 + 0.13. Which is the nearest to m? (a) -4 (b) -2/7 (c) -1/7 c Let v(q) = 5*q**3 - q + 1. Let t be v(1). Let s = t + -6. Let f = -0.97 + -0.03. What is the nearest to s in 3/5, f, -2/5? f Let k = 0.22 + -0.78. Let q = 0.06 + k. What is the nearest to 1 in -2/7, -0.3, q? -2/7 Let o = 0.1 + 0. Let j = 0.3 - 0.3. Let l = j - 0.1. What is the closest to o in l, 1/5, -3/7? 1/5 Let m = -3 - -3.3. What is the closest to 0 in -2, -2/15, m? -2/15 Let t = -11 + 12. Which is the closest to t? (a) 1 (b) 0.5 (c) -0.3 a Let j(x) = x**2 - x - 2. Let i be j(3). What is the nearest to 0.1 in -2/9, i, 1? -2/9 Let g = -0.06 - -2.06. Let i = g + -2. Let o = 1 - i. Which is the closest to o? (a) 4 (b) -3 (c) 0.5 c Suppose 0 = -m + 6*m. Let h = 1.26 + -0.26. What is the nearest to h in -4, -1, m? m Let g(l) = -10*l + 3. Let p be g(5). Let w = p + 281/6. Let u(f) = f - 4. Let i be u(5). Which is the closest to i? (a) 2/13 (b) -1 (c) w a Let q = -97 - -483/5. Let k = -8.19 + 0.19. Let z = 7.9 + k. Which is the closest to z? (a) q (b) 4/5 (c) 1/4 a Let s(w) = -w**3 - 2*w. Let i be s(0). Let j(q) = q**3 - 2*q**2 - 4*q + 4. Let d be j(3). Suppose i*x - d = x. What is the nearest to x in 2/7, 2, 0.5? 2/7 Let o = -3 + 6. What is the closest to -0.2 in -2/19, o, 2/7? -2/19 Let l = 180 - 184. What is the nearest to -1/4 in l, -1/3, 4? -1/3 Suppose m - 2*x = -43, -5*m - 185 = -3*x - x. Let j be (-3 - 93/m) + 0. Which is the closest to 0.1? (a) 0.1 (b) -2/5 (c) j a Let i be (2 - (-1590)/(-27))*2. Let j = i - -114. What is the nearest to 1 in 1, j, -0.3? 1 Let g be 7/4 - (3 - 1). Let t = -1/2 + g. What is the nearest to -1 in -0.5, -1/4, t? t Let s = -0.3 - -0.5. Let w = -34 - -372/11. What is the closest to s in 3, w, -3? w Let z = -0.19 - -0.19. What is the nearest to z in 1/3, 3/7, 0.2? 0.2 Let y be 2/10 - (-6)/(-5). Let g = -27 + 32. What is the nearest to -1 in y, g, 0.1? y Let n = -3 + 2. Let t = n + 5. Let z = 61 + -61.2. What is the nearest to -0.1 in -5, z, t? z Let d = -21 + 21. Which is the nearest to d? (a) -5 (b) 0.01 (c) 0.3 b Let u be 0/2 + (0 - -1). Suppose 4*q - u = 3*q. Let c = -166/7 - -24. What is the closest to q in c, 3, -0.4? c Let h = 63.93 - 64. Which is the closest to 2? (a) 0.1 (b) h (c) -1/3 a Let m = -1.9 - 3.1. Which is the closest to -0.4? (a) m (b) 0.4 (c) 0 c Let n be (-2)/(-6) + (-2)/(-21). Let x = 0.3 - 0.3. Suppose v + v = 0. Which is the closest to x? (a) 1 (b) n (c) v c Let o = 5 + 0. Let l = 2.5 - o. Let t = 0.5 - l. Which is the closest to 0.1? (a) -1/11 (b) t (c) 5 a Let r(t) = 2*t + 2. Let g be r(-1). Which is the nearest to g? (a) 2/7 (b) -1 (c) -3 a Let f be ((-2)/20)/(10/40). What is the nearest to -1 in 2, f, 3/5? f Let k = 0 - 2. Let v = 97/4 - 95/4. What is the closest to v in 2, 4, k? 2 Let y = 122 - 120. What is the nearest to y in -3, -2/13, 13? -2/13 Let o = -3.43 - -0.33. Let z = -2.9 - o. Let s = -0.2 + 0.3. What is the nearest to s in z, 0.3, 1/3? z Let w = 0.4 + -0.1. Which is the closest to -0.2? (a) 2/9 (b) w (c) -3 a Let z = -7 - -6.7. Let n = 0 + z. Let r = 0.8 - 0.3. Which is the nearest to 1? (a) n (b) r (c) 2/9 b Let x = -0.03 - 16.97. Let y = -14.06 - x. Let z = 0.06 + y. Which is the nearest to -0.2? (a) -0.5 (b) -4 (c) z a Let f be (10/4)/((-13)/((-104)/16)). What is the nearest to 1 in -1/5, f, 7? f Let n = -2.6 - -3. Let w = 27 - 27. Which is the closest to w? (a) 5 (b) -2 (c) n c Let h = -246/5 - -50. What is the nearest to 0 in h, -2/9, 2? -2/9 Let r = 0.5 + -0.8. Let t = -0.106 - -0.006. What is the closest to 1/3 in r, 1, t? t Let o = 15 - 4. Let h = o - 12. What is the nearest to h in 0, -0.3, -1? -1 Let m = 1.3 - -0.7. Which is the closest to m? (a) 2 (b) 4 (c) 3/4 a Let u = 0.01 - -0.49. Let k = u - 0.9. Let i be ((-2)/10)/((-1)/2). Which is the nearest to i? (a) k (b) -3/5 (c) 2 a Let f = -1.1 + 0.1. Let o = -0.13 - -5.13. What is the closest to f in -0.3, -4, o? -0.3 Let v = -0.08 + 0.14. Let g = -3.94 - v. Let w be 4/5*(-100)/(-120). Which is the nearest to w? (a) 0.3 (b) g (c) -2/15 a Let x = -14 - -27/2. Let d = -31.5 - -31. What is the nearest to x in -4, -3, d? d Let d(l) = l - 2. Let w be 4/(-3)*(-12)/8. Let m be d(w). Let t = 3.97 - -0.03. Which is the closest to m? (a) -0.4 (b) t (c) -2 a Let s = -4 + 6. Suppose -s*z = -7*z + 20. Let a = 6.3 - 6. What is the nearest to 0.1 in -1/2, a, z? a Let u = -23 + 24. What is the closest to u in 1, -2/3, 3? 1 Let w = -18 - -19. Which is the nearest to 4/7? (a) 0 (b) w (c) 0.4 c Let z = -0.102 - 0.198. Let w = -0.1 - -0.2. What is the closest to w in z, 0.1, 3? 0.1 Let s be 11/3 + -2 + (-42)/63. What is the closest to 2 in s, 1/5, -3/7? s Let a = -46 - -44. What is the nearest to -1/2 in 5, a, -8? a Suppose 2*u + 3*u = 10. Let z = 3/4 - 1/2. What is the closest to z in u, -5, 2/9? 2/9 Suppose 0 = 5*x + 35. Let h = x - -7. Which is the nearest to -2/3? (a) h (b) 2/7 (c) 2/9 a Let g = -27/13 + 83/65. What is the nearest to 2/7 in 1/8, -4, g? 1/8 Let s = -1.78 - 0.22. Which is the closest to 0.3? (a) -2/5 (b) s (c) -4 a Let h = -14 + 13.9. Let p = -336 - -5714/17. What is the closest to h in p, 3/2, 1? p Let l be (-49)/(-63) - 4 - (-5 + 2). Let s = -7/11 - -57
{ "pile_set_name": "DM Mathematics" }
-8977, -20191, -35891, -56077, -80749? -2243*o**2 + o - 7 What is the l'th term of 514, 482, 450? -32*l + 546 What is the w'th term of -3031, -2911, -2793, -2677? -w**2 + 123*w - 3153 What is the k'th term of 664608, 1329217, 1993826, 2658435, 3323044? 664609*k - 1 What is the b'th term of 172, 429, 700, 985, 1284? 7*b**2 + 236*b - 71 What is the h'th term of -1040, -1709, -2378, -3047, -3716, -4385? -669*h - 371 What is the w'th term of -353, -568, -783, -998, -1213? -215*w - 138 What is the q'th term of -57637, -57632, -57627? 5*q - 57642 What is the y'th term of -440, -387, -344, -317, -312, -335, -392, -489? -y**3 + y**2 + 57*y - 497 What is the c'th term of -2077, -8325, -18739, -33319, -52065, -74977? -2083*c**2 + c + 5 What is the z'th term of -54394, -54399, -54406, -54415? -z**2 - 2*z - 54391 What is the t'th term of -126, -97, -84, -81, -82, -81, -72, -49? t**3 - 14*t**2 + 64*t - 177 What is the t'th term of 1993, 7977, 17953, 31915, 49857? -t**3 + 2002*t**2 - 15*t + 7 What is the p'th term of 37, 204, 449, 748, 1077, 1412? -4*p**3 + 63*p**2 + 6*p - 28 What is the g'th term of -9, -17, -31, -51? -3*g**2 + g - 7 What is the q'th term of -259, -1097, -2495, -4453, -6971, -10049? -280*q**2 + 2*q + 19 What is the x'th term of -4326, -8830, -13348, -17886, -22450? -x**3 - x**2 - 4494*x + 170 What is the k'th term of -570791, -570774, -570745, -570698, -570627, -570526, -570389? k**3 + 10*k - 570802 What is the p'th term of -1161, -2306, -3451? -1145*p - 16 What is the d'th term of 849, 864, 879, 894? 15*d + 834 What is the v'th term of 12696121, 12696120, 12696119? -v + 12696122 What is the z'th term of -10335, -20626, -30925, -41238, -51571? -z**3 + 2*z**2 - 10290*z - 46 What is the t'th term of 12525, 25046, 37567, 50088, 62609, 75130? 12521*t + 4 What is the o'th term of 31591, 31592, 31593? o + 31590 What is the i'th term of 3827, 3846, 3839, 3800, 3723? -i**3 - 7*i**2 + 47*i + 3788 What is the s'th term of -72238, -144480, -216722, -288964, -361206? -72242*s + 4 What is the v'th term of 92, 178, 250, 302, 328? -v**3 - v**2 + 96*v - 2 What is the d'th term of -976, -714, -452? 262*d - 1238 What is the c'th term of -597, 361, 1965, 4221, 7135, 10713, 14961? c**3 + 317*c**2 - 915 What is the r'th term of -1524, -1495, -1440, -1359, -1252, -1119, -960? 13*r**2 - 10*r - 1527 What is the d'th term of -3728, -7457, -11182, -14903, -18620, -22333? 2*d**2 - 3735*d + 5 What is the s'th term of -194, -397, -614, -851, -1114, -1409? -s**3 - s**2 - 193*s + 1 What is the q'th term of -2523, -2549, -2565, -2565, -2543, -2493? q**3 - q**2 - 30*q - 2493 What is the c'th term of 280, 406, 550, 712, 892? 9*c**2 + 99*c + 172 What is the a'th term of 128040, 128042, 128044? 2*a + 128038 What is the b'th term of 13382, 13381, 13380, 13379, 13378? -b + 13383 What is the v'th term of -4652, -9339, -14026, -18713, -23400, -28087? -4687*v + 35 What is the v'th term of -443, -1749, -3913, -6929, -10791? v**3 - 435*v**2 - 8*v - 1 What is the k'th term of -528, -2105, -4732, -8409, -13136, -18913, -25740? -525*k**2 - 2*k - 1 What is the a'th term of -358, -668, -1516, -3172, -5906, -9988, -15688, -23276? -45*a**3 + a**2 + 2*a - 316 What is the s'th term of -13, 65, 283, 713, 1427, 2497? 12*s**3 - 2*s**2 - 23 What is the j'th term of -398861, -398859, -398857, -398855? 2*j - 398863 What is the d'th term of 4101, 16508, 37207, 66216, 103553, 149236, 203283, 265712? 3*d**3 + 4128*d**2 + 2*d - 32 What is the a'th term of -259, -1081, -2469, -4423, -6943, -10029, -13681? -283*a**2 + 27*a - 3 What is the u'th term of 379, -39, -457, -875, -1293, -1711? -418*u + 797 What is the u'th term of -506, -472, -440, -410, -382, -356, -332? -u**2 + 37*u - 542 What is the u'th term of -128, -159, -204, -263, -336, -423? -7*u**2 - 10*u - 111 What is the f'th term of -6126, -12244, -18362, -24480, -30598? -6118*f - 8 What is the a'th term of 128, 319, 922, 2147, 4204, 7303, 11654? 35*a**3 - 4*a**2 - 42*a + 139 What is the k'th term of -2215, -8785, -19719, -35017, -54679, -78705, -107095? -2182*k**2 - 24*k - 9 What is the h'th term of -5525, -11048, -16571, -22094, -27617? -5523*h - 2 What is the z'th term of 91613, 183225, 274835, 366443, 458049, 549653, 641255? -z**2 + 91615*z - 1 What is the p'th term of 2765, 11024, 24775, 44018, 68753, 98980? 2746*p**2 + 21*p - 2 What is the o'th term of 19, 3, -119, -419, -969? -12*o**3 + 19*o**2 + 11*o + 1 What is the s'th term of 31301, 62451, 93601? 31150*s + 151 What is the x'th term of 138, 1144, 3854, 9120, 17794? 142*x**3 + 12*x - 16 What is the n'th term of -1143, -1159, -1175, -1191, -1207, -1223? -16*n - 1127 What is the l'th term of 2954, 5961, 8968, 11975, 14982, 17989? 3007*l - 53 What is the p'th term of 267900, 535799, 803698, 1071597, 1339496? 267899*p + 1 What is the r'th term of 73, 359, 909, 1783, 3041, 4743? 10*r**3 + 72*r**2 - 9 What is the d'th term of 2971, 5933, 8881, 11809, 14711, 17581, 20413? -d**3 - d**2 + 2972*d + 1 What is the y'th term of 444, 1713, 3802, 6687, 10344, 14749, 19878? -4*y**3 + 434*y**2 - 5*y + 19 What is the b'th term of 227, 974, 2211, 3938? 245*b**2 + 12*b - 30 What is the k'th term of 15226, 15229, 15232? 3*k + 15223 What is the q'th term of -1321, -1355, -1391, -1435, -1493, -1571, -1675, -1811? -q**3 + 5*q**2 - 42*q - 1283 What is the j'th term of 50, 102, 186, 308, 474, 690? j**3 + 10*j**2 + 15*j + 24 What is the c'th term of 103, 267, 497, 793, 1155, 1583? 33*c**2 + 65*c + 5 What is the h'th term of -60, -288, -688, -1266, -2028? -h**3 - 80*h**2 + 19*h + 2 What is the z'th term of -84820, -84822, -84824, -84826, -84828? -2*z - 84818 What is the b'th term of -129, -45, 95, 297, 567, 911? b**3 + 22*b**2 + 11*b - 163 What is the i'th term of 974, 3866, 8672, 15380, 23978? -2*i**3 + 969*i**2 - i + 8 What is the o'th term of -4934, -4912, -4876, -4826? 7*o**2 + o - 4942 What is the k'th term of 17, 27, 33, 29, 9, -33, -103, -207? -k**3 + 4*k**2 + 5*k + 9 What is the b'th term of -1655, -1679, -1703, -1727? -24*b - 1631 What is the s'th term of 302, 495, 688, 881, 1074, 1267? 193*s + 109 What is the p'th term of 718, 714, 704, 688, 666, 638, 604? -3*p**2 + 5*p + 716 What is the w'th term of -3519, -3491, -3415, -3267, -3023, -2659, -2151? 4*w**3 - 3523 What is the s'th term of -72410, -144844, -217278, -289712, -362146? -72434*s + 24 What is the n'th term of 24929, 24991, 25047, 25091, 25117? -n**3 + 3*n**2 + 60*n + 24867 What is the h'th term of -8589, -17224, -25859? -8635*h + 46 What is the m'th term of 15443, 15452, 15461, 15464, 15455, 15428, 15377? -m**3 + 6*m**2 - 2*m + 15440 What is the g'th term of 635, 682, 731, 782, 835? g**2 + 44*g + 590 What is the p'th term of 1, 89, 185, 295, 425, 581, 769, 995? p**3 - 2*p**2 + 87*p - 85 What is the n'th term of 2001, 2716, 3431, 4146? 715*n + 1286 What is the a'th term of -3810, -7649, -11488? -3839*a + 29 What is the o'th term of 1896164, 3792329, 5688494, 7584659, 9480824? 1896165*o - 1 What is the b'th term of -94957, -94952, -94947, -94942, -94937, -94932? 5*b - 94962 What is the s'th term of -27092, -27090, -27088? 2*s - 27094 What is the t'th term of -5, -130, -455, -1082, -2113, -3650, -5795? -17*t**3 + 2*t**2 - 12*t + 22 What is the w'th term of 14079, 56314, 126705, 225252, 351955? 14078*w**2 + w What is the b'th term of -49, -272, -673, -1276, -2105? -4*b**3 - 65*b**2 + 20 What is the l'th term of 209, 295, 371, 443, 517, 599, 695? l**3 - 11*l**2 + 112*l + 107 What is the f'th term of -1370, -1366, -1360, -1352, -1342? f**2 + f - 1372 What is the b'th term of 235174, 235176, 235178, 235180, 235182, 235184? 2*b + 235172 What is the k'th term of 1202332, 2404666, 3607000? 1202334*k - 2 What is the m'th term of 70, 125, 162, 181, 182, 165, 130? -9*m**2 + 82*m - 3 What is the i'th term of -462486, -462487, -462486, -462483, -462478, -462471, -462462? i**2 - 4*i - 462483 What is the p'th term of 5, 41, 101, 185, 293, 425? 12*p**2 - 7 What is the n'th term of -1108, -1130, -1168, -1222, -1292? -8*n**2 + 2*n - 1102 What is the t'th term of -68652, -68649, -68646, -68643, -68640, -68637? 3*t - 68655 What is the v'th term of -7018, -7034, -7036, -7018, -6974, -6898? v**3 + v**2 - 26*v - 6994 What is the s'th term of 195, 437, 643, 795, 875
{ "pile_set_name": "DM Mathematics" }
r. g, -4/7, -1/3 Suppose -2*b = -2*a + 7*a - 113, -2*a + b = -38. Suppose -a - 5 = -2*w. Let f be 21/52 + (-2)/w. Put f, -2, -1/8 in decreasing order. f, -1/8, -2 Let r = 1.24 - 1.2. Put r, -2/7, -1/3 in descending order. r, -2/7, -1/3 Let a = 2806/4935 + 2/705. Put a, 2, 5, 13 in increasing order. a, 2, 5, 13 Let v = -0.105 + 3.105. Sort 1, -0.5, 5, v in descending order. 5, v, 1, -0.5 Let a = 3 - 3. Sort -5, -4, a in decreasing order. a, -4, -5 Suppose 4*c - 1 = 3*c. Let w = -12 + 21. Let t be w/(-6) + 39/6. Sort t, 0, c. 0, c, t Let n be (1/(-4))/((-14)/8). Let f = 4 + 8. Let w be (8/f)/((-2)/6). Sort w, n, 0.5 in ascending order. w, n, 0.5 Let d = -4.8 - -5. Let n = -0.25 + d. Let c = n - -0.05. Put -2/15, 5, c in decreasing order. 5, c, -2/15 Let q = -6 - -5.93. Sort q, -4, 0.2 in increasing order. -4, q, 0.2 Suppose -k + 5*k + 11 = g, 0 = 5*g - k + 21. Let o = 3 + g. Let s(u) = -u**3 + 9*u**2 - u + 5. Let h be s(9). Put 1, h, o in increasing order. h, o, 1 Let o(b) = -b - 11. Let n be o(-11). Put -2, -5, -21, n in ascending order. -21, -5, -2, n Let j = -3/4460 - -142819/147180. Let v = j + -18/11. Put v, -0.3, 4 in increasing order. v, -0.3, 4 Let m = 2 + -5. Let l = 3.1 + m. Let r(y) = -y**2 - 3. Let q be r(0). Sort l, q, -0.5 in decreasing order. l, -0.5, q Let i = -3.7 + 3. Let f = i - -1. Let o be 50/8*4/(-10). Put o, f, -0.3 in descending order. f, -0.3, o Let t = 1/8 + 1/8. Let z = 1/43 + 67/817. Let x = 121 + -1817/15. Put x, t, z in ascending order. x, z, t Let o = -0.2 + -1.8. Sort -0.5, 1, o in decreasing order. 1, -0.5, o Let i be 8*(-4)/8 + -1. Sort i, -0.4, -0.33 in decreasing order. -0.33, -0.4, i Suppose h + 2*f = -3, 0 = -5*h - f + 4*f + 24. Suppose -a - h = 1. Let i be (-10)/4 + 1/(-2). Sort a, 2, i in ascending order. a, i, 2 Suppose 2*w - 3*w - 1 = 0. Let z be (-6)/(-2) + w + 0. Sort -10, -3, z. -10, -3, z Let h = 24 - 34. Let u = -3.1 + -0.9. Put h, 4/3, u in increasing order. h, u, 4/3 Let o = 3/43 + -52/129. Sort -2, 2, o. -2, o, 2 Let v = 2/7 + -11/14. Put -2, 0.3, v in increasing order. -2, v, 0.3 Let t = 13 - 66/5. Let g = -9 - -9. Sort g, t, 1. t, g, 1 Let k(o) = o**3 - 12*o**2 + 2*o - 18. Let r be k(12). Let c be r - (-1)/((-3)/6). Let v = 0 - -0.3. Put c, 0.4, v in decreasing order. c, 0.4, v Let i = -0.1 + 2.1. Sort 3, i, -0.28. -0.28, i, 3 Let k be (-24)/(-18)*9/66*1. Sort -1/6, k, 5, -0.1 in increasing order. -1/6, -0.1, k, 5 Let x(m) = 1 - 3*m**3 + 4*m**3 - 2*m + 0*m**3. Let s be x(2). Sort 1, 2, s in descending order. s, 2, 1 Let g = 0.53 - 0.53. Let t = 0.8 - 0.5. Put g, 4, t in decreasing order. 4, t, g Let l(o) = 4*o**2 + 2*o - 1. Suppose 5*b + 3 = 8. Let p be l(b). Suppose -14 + 2 = 4*i, 0 = -5*g + 5*i. Put p, -4, g in increasing order. -4, g, p Suppose -2*h = 2*h - 80. Suppose o = -2*a - 1, -3*a = 2*a - 2*o - h. Let l be (13/a - 2)/(-6). Put l, -0.2, 0 in increasing order. l, -0.2, 0 Let b = -35 - -35. Sort 5, 6, b in decreasing order. 6, 5, b Suppose -3*h - 1 = -n, 2*n - 5*n + 3 = 2*h. Sort h, 3, -2, 5. -2, h, 3, 5 Suppose 4*n + 4 = 4*z, 3*z + 2*n + 12 + 5 = 0. Sort z, -0.08, -0.2 in descending order. -0.08, -0.2, z Suppose 0 = 5*y - 3*i - 11, 2*y + y = -3*i - 3. Let x = -1 + y. Suppose 3*a - 12 = x, 4*j = j + 3*a. Sort -1, 5, j. -1, j, 5 Let i = 90 + -86. Sort -7, -1, -3, i in increasing order. -7, -3, -1, i Let q = -0.08767 - -44.87767. Let s = -45 + q. Let c = s + 0.01. Sort c, 0.3, -2/5 in decreasing order. 0.3, c, -2/5 Let c(w) = -w**3 - 7*w**2 + 17*w - 9. Let f be c(-9). Put 1, f, 3 in descending order. 3, 1, f Let x be 5 + ((-12)/(-3) - 8). Sort x, 0, -1 in decreasing order. x, 0, -1 Suppose -8*x - 5 = -13*x. Sort -29, x, -1. -29, -1, x Let w be (4/(-30)*-6)/(1/(-5)). Sort 0.7, -0.4, -3/5, w in decreasing order. 0.7, -0.4, -3/5, w Let g be (-1 - -13)*(-1 + 2). Suppose -5*p - 5*w = -20, -4*p + 3*w + g - 31 = 0. Let l = -6 + 11. Sort p, 3, l. p, 3, l Let m = -9/19 + -1/38. Sort m, 3/5, -3 in ascending order. -3, m, 3/5 Let g = -2.2 + 2.18. Put g, -2/7, -5 in increasing order. -5, -2/7, g Let a = -20.37 - -0.37. Let w = a - -12. Let s = -7 - w. Sort s, 3, 0.5. 0.5, s, 3 Suppose 2*a + 4*f + 22 + 4 = 0, -2*f = 8. Put -0.5, a, 10/7 in ascending order. a, -0.5, 10/7 Let k be 0/(6/(-1)) + (-2)/3. Put k, -5, 0.3, 5 in descending order. 5, 0.3, k, -5 Let b = 47 + -46.7. Put -0.5, 5, b, -3 in descending order. 5, b, -0.5, -3 Let s = 1916618718136/749835 - -424109882/877. Let f = 3039646 - s. Let d = f - -2/171. Put -0.4, 0, d in decreasing order. d, 0, -0.4 Let u = 6.7 - 7. Let j = u - -4.3. Let c(n) = n**2 + 8*n + 12. Let v be c(-5). Sort v, j, 0.1 in ascending order. v, 0.1, j Suppose t = -3*t - 8. Suppose 3 + 1 = 2*m. Sort m, 4, t in ascending order. t, m, 4 Let b = 155 + -141. Sort b, 5, -3 in increasing order. -3, 5, b Let m be (3/30)/(3/(-24)). Sort -1/5, m, 0 in increasing order. m, -1/5, 0 Let l = 1 - 2. Let j be -5 - (-76)/12 - (-1)/(-3). Put 0, j, l in decreasing order. j, 0, l Let z(h) = h**3 - 4*h**2 - 2*h + 3. Let l be 2/(2 + -1)*2. Let r be z(l). Sort r, -2, 0. r, -2, 0 Let c be -10*(-6)/(-15)*-1. Let x be 16/72*3/c. Put 4, -3, x in descending order. 4, x, -3 Let k = -0.964 + -0.036. Sort 1, -0.1, k. k, -0.1, 1 Let o = -9 - -14. Put 0.19, -2/9, o in decreasing order. o, 0.19, -2/9 Let f = -13 + 18. Let o = 9 - f. Put 3, -5, o in descending order. o, 3, -5 Let y be (2 - 1) + 3/(-6). Put -0.4, y, -2 in ascending order. -2, -0.4, y Let k(w) = w**3 + 5*w**2 - 7*w - 5. Let y be k(-6). Let z = 18 + -18.23. Let t = -0.3 - z. Put t, y, 0.1 in decreasing order. y, 0.1, t Let g = -7 + 6.7. Let f be ((-48)/27 + (-4)/18)/(-8). Put -3, f, g in decreasing order. f, g, -3 Let q(n) = 4*n + 8. Let f be q(-3). Put -3, -2, 4, f in ascending order. f, -3, -2, 4 Suppose j + 1 = -j - r, -3*j + 3*r + 3 = 0. Put j, -6/7, -0.3 in descending order. j, -0.3, -6/7 Let s = 2 - -3. Let q = -66 + 332/5. Sort 1, q, s in ascending order. q, 1, s Let m = -0.049 - -5.349. Let d = m - 7. Let w = d + 2. Put -5, -3, w in decreasing order. w, -3, -5 Let s be (-2)/12*(-2)/(-2). Sort 4, s, 0.3. s, 0.3, 4 Let j = 2 + -7. Let o(q) = q**3 + 5*q**2 + q + 7. Let b be o(j). Let y(t) = t**3 - 7*t**2 + 5*t + 3. Let s be y(6). Sort 1, b, s in increasing order. s, 1, b Let u = 13.73 - -0.37. Let a = -14 + u. Sort 0.2, -1/2, a in descending order. 0.2, a, -1/2 Let x = 33 - 32. Sort -0.4, 3, x, -0.1 in decreasing order. 3, x, -0.1, -0.4 Let c = -2/71 + 217/142. Let f(h) = h**3 - 11*h**2 + 4. Let k be f(11). Put c, k, -5 in increasing order. -5, c, k Let i be (-112)/(-40) + 8/(-10). Put -4, -5, i in decreasing order. i, -4, -5 Let k be (-12)/7 - 18/(-9). Put 0, -2, k in descending order. k, 0, -2 Let w be (8/14)/((-6)/14). Let a = -10 - -5. Let b = a - -8. Put -3, b, w in decreasing order. b, w, -3 Let x(q) = 5*q - 2. Let c be x(1). Suppose 0 = -2*r - c*v - 2, 3*v = -2*r - 2*r - 4. Sort r, 0, 4 in ascending order. r, 0, 4 Suppose 0 = -6*m + 4 + 2. Suppose 0 = -n - 1. Let b be (5 - (2 - m)) + n. Put 0, b, -3 in ascending order. -3, 0, b Let m(j) = j**2 - 1. Let f be m(-2). Let y(d) = 6*d**3 - 2*d**2 + 2*d - 1. Let s be y(1). Suppose 7*k = 9*k - 4. Sort k, s, f in descending order. s, f, k Let g = 0.2 - 0.3. Let u be 3/(-27)*-3*-6. Let f be ((-3)/2)/(33/(-4)). Sort u, f, g. u, g, f Suppose -4*i = -5*a - 33, -8 + 1 = a - i. Put a, 2, -1 in increasing order. a, -1, 2 Let z = 0.05 + -0.08. Sort -5, -4, z in decreasing order. z, -4, -5 Suppose -d - d = 2*l, 0 = 4*d - 3*l + 35. Put d, -0.5, 0.3, -0.2 in descending order. 0.3, -0.2, -0.5, d Let q = -10 + 43. Put q, -1, -2/3 in ascending order. -1, -2/3, q Let l = -185 - -1298/7. Put l, 5, -5 in increasing order. -5, l, 5 Let p be -4 - -2*(-4)/(-8). Put 3, p, 5 in descending order. 5, 3, p Let o be 16/50*(-4)/(-16). Let f = -6 + 6.1. Sort -0.4, o, f in increasing order. -0.4, o, f Let o = 0.19 + 0.01. Let x(h) = h**3 + 6*h**2 - 9*h - 10. Let s be x(-7). Put o, s, -2/9 in descending order. s, o, -2/9 Let x(u) = -3*u + 22. Let h be x(6). Sort -3, h, 0.3, 0 in increasing order. -3, 0, 0.3, h Suppose -4*u = 5*h - 60, -2*h + 2*u + 8 + 16 = 0. Suppose 0 = -4*l + 7*l - h. Let z = 0 + -5. Put 3, l, z in increasing order. z, 3, l Suppose 6*r = 2*r + 2*g - 2, -4*r - 2*g - 6 = 0. Let l = -29 - -46. Suppose
{ "pile_set_name": "DM Mathematics" }
b(x) = x**3 + 9*x**2 - 11*x - 7. Let y be b(-10). Suppose 2*d + 2*v = 8, y*d + v = -2*d + 4. Solve d = 2*f + 2*i + 4, -f + 26 = -5*f + 2*i for f. -5 Let m(a) = -a**3 - a**2 + 4*a - 1. Let n be m(-3). Suppose -2*c = -1 - n. Solve 4*q = -c*u - 6, 0 = -4*u - q - 3 - 5 for u. -2 Suppose -i = 5*u - 27, -11*u + 7*u + 12 = -4*i. Solve 5*n + 17 = 2*r, 3*r - i + 5 = -2*n for n. -3 Let x = -8 + 8. Solve x = -3*b - 5*a - 26, -7*b + 2*b = a + 14 for b. -2 Let w = 11 + -16. Let a = w - -5. Let f = 5 - -1. Solve 4*p = a, -n - 4*p = -3*n + f for n. 3 Let h be (2 - 3)*2 - -12. Let d be (h/4)/5*10. Solve -4*k = k + d*r + 35, -17 = 2*k + 3*r for k. -4 Let p(a) = -a - 3. Suppose -4*x = -2*n + 42, 0 = 5*n - 0 - 25. Let j = x + 3. Let d be p(j). Solve -4*v = -l + 25, -d*l - 2*l - v + 15 = 0 for l. 5 Suppose 6*b - 42 = 42. Let t = 17 - b. Solve 0 = -4*d, -3*p = p - t*d - 4 for p. 1 Suppose s - 6 = -0*s. Suppose 0 = -3*t - 0*t + 12. Solve n = -t*h - 24, 3*n + 5*h = -s - 31 for n. -4 Let t be (-90)/20*(-8)/6. Solve -t = 2*p + w + 6, 0 = 4*p - 3*w + 14 for p. -5 Let h be (-464)/8*3/(-6). Solve -4*j - j - h = 3*b, -5 = 2*j - b for j. -4 Let x(v) = -v**2 + 8*v - 12. Let u be x(5). Let b be ((-6)/(-4))/(u/4). Solve -9 = -3*d - 4*m, b*d = -m + 6 - 0 for d. 3 Suppose -4*x - 4*o = 12, 3*o + 6 = -x - 3. Solve -3*z + 25 = 2*z - 3*p, -p = x for z. 5 Let r = -2 + 5. Suppose -3*j = -5*o - 23 + 6, -r*j + 7 = 5*o. Solve j*p = 4*a + 4, a - 24 = 4*a + 4*p for a. -4 Suppose 0 = -5*m + 2*m + 36. Let z be (m/(-15))/((-2)/5). Solve -z*y = -0*y - 2*w - 6, 4*w = 0 for y. 3 Suppose 0 = -t - 0*t + 48. Suppose 4*y - 2*w + w - 30 = 0, 5*y + 4*w = t. Let s = 10 - y. Solve 3*x - 16 = -4*b, -4*x - 7 = -s*b + 1 for b. 4 Suppose 2*z - 3*c - 45 = -8, 4*c - 30 = -3*z. Let p be (-1)/2*-8 - 0. Solve -5*n + 10 = -v, p*v + 0*v = 2*n + z for v. 5 Let w = 9 - -5. Let y(f) = f**3 - 5*f**2 + 4*f + 5. Let z be (-3)/((18/8)/(-3)). Let q be y(z). Solve 0 = q*c + 2*n - 27, n - 7 = -4*c + w for c. 5 Let t be ((-5)/(-2))/(-1)*16/(-10). Let j = -4 - -7. Solve 5*k - 4 = 4*d, -3*k + t = -j*d + d for k. 4 Suppose 3*d - 15 = -3*a, -3 = -a + 6*a - 2*d. Let h = a + 4. Solve -s - h*w = -4*s - 25, s - w = -7 for s. -5 Suppose -6*l - 3 = -7*l. Suppose 0*x + 16 = -4*w + 4*x, 4*w = -l*x + 19. Solve -2*c + 4 = -v, 4*v - w = 2*v - 5*c for v. -2 Suppose 2*r - 22 = -4*x, -5*x - 2*r + 31 = 5. Solve -9 = -a + 4*y, 0 = -x*a + 5*y + 15 - 1 for a. 1 Let i(v) = -v**2 + 11*v - 7. Let q be i(10). Solve l + 8 = 5*p, q*p + 8 = 2*l + 5*p for l. 2 Let h be (2/(-4))/((-3)/12). Solve 3*n = -h*n - 20, 4*k + 4*n + 36 = 0 for k. -5 Suppose 0 = 2*c - 4*c + 10. Solve c = -3*l - 1, -2*l - 4 = v for v. 0 Suppose 0 = 4*v + 4. Let n be 5 + v + 3/3. Solve -8*g - p = -3*g + 7, n*p = -g - 11 for g. -1 Suppose 0 = -5*c + 5*h + 140, c + 6*h - 2*h = 48. Let m = 6 + -3. Suppose -u = m*u. Solve -4*b + b + 3 = 3*q, u = -5*q + 4*b + c for q. 4 Let u = -2 + 2. Solve 4*l + 3*b - 13 = u, 5*l + b - 19 = -0*b for l. 4 Let b = 172 - 297. Let y be b/(-4) + 8/(-32). Solve -2*m + 5*m - y = 5*z, 20 = -4*z for m. 2 Let x(m) = -m**2 - 7*m - 7. Let q be x(-5). Solve 4*n + 3 = -3*h, q*n - 11 = -2 for h. -5 Suppose 0 = 3*v + 2*v - 25. Solve 4*i - 2*m + 3*m + 18 = 0, v*i - 2*m + 16 = 0 for i. -4 Let k(d) = 2*d**2 - 2*d - 1. Let g be k(2). Let r(c) = 0*c + 6 - c - 2. Let v be r(0). Solve v*o - 16 = 3*o + 3*h, -g*h = 12 for o. 4 Let o be ((-5)/(-15))/(2/12). Solve -o*t = k + 2*k - 13, 3*k = 5*t - 1 for t. 2 Let x be ((-3)/6)/((-5)/30). Suppose -3*m = -x*v + 2*v - 9, 4*v = 0. Solve -n + 19 = -m*l, -3*l + 2*n + 5 = 7*n for l. -5 Let n be ((2 - -2) + -2)*2. Solve -4*w = -2*u - 9 + 1, 2*u - w = n for u. 4 Let o(j) = -j**3 - 2*j**2 + 3*j + 4. Let y be o(-3). Suppose 8*q = 43 + 5. Solve -5*x = -3*r - 28, -y*x + 3*r + 29 = q for x. 5 Let u be 0*1/8*4. Suppose 3*g - 12 - 3 = u. Solve -5*w = 3*t - g - 7, 5*w - 16 = -4*t for w. 0 Let b(q) = -q**2 + 6*q + 1. Suppose 0 = -5*n - 3*o + 10, -n = -0*n + o. Let h be b(n). Solve 5*y + h = 2*f, -2*y - y = -3*f for y. -2 Let h be 58/6 + 8/24. Suppose -2*n + m + 6 = n, -3*m = -5*n + h. Suppose 0*s + 4 = n*s. Solve 0 = -s*p + 2*w - w, 0 = 3*w + 12 for p. -2 Let j be 18/4 - (-24)/16. Suppose 2*m - j*m = 5*h + 17, m = -4*h - 18. Solve 4*d + 14 = 2*w - d, -d = m for w. 2 Let o be (10/4)/((-3)/(-6)). Let n = 5 - o. Suppose -5*c + 81 + 39 = n. Solve 33 = 2*u - 5*i, u - i - c = 3*i for u. 4 Let v be (-4)/(16/6)*-2. Let x = 38 - 18. Solve 7 = 3*d - c, v*d + 4*c = 52 - x for d. 4 Suppose -2 = -4*l + 5*k, 11 - 1 = 5*k. Let a be 2 + 0/2 - -2. Solve 0 = l*f - 5*u + 25, 1 = 5*f - a*f + 3*u for f. -5 Suppose 2*f + 6 = 0, 3*f = 3*j - 19 + 4. Suppose -q - w = -10, -41 = 5*q + j*w - 106. Suppose -4*l + q = -5. Solve 9 = -l*d + 4*t, 4*d - t + 3 = -2*t for d. -1 Let d = 3 + -2. Solve 0 = -y - 3 - d, r - 5 = 2*y for r. -3 Let u(b) be the first derivative of -b**2/2 + 16*b + 3. Let q be u(11). Suppose 13 - 3 = q*p. Solve i + p*t = 3*t - 2, 2*i - 21 = -3*t for i. 3 Let c(w) = -w + 11. Let a be c(7). Solve 3*i - 3*f - 15 = 0, -a*i + 1 = 5*f - 1 for i. 3 Let l(c) = -2*c - 4. Let r be l(-3). Suppose 12 = 2*s + r*s. Suppose -s = 3*y, -2*y = -2*o + y + 25. Solve 0 = 4*n - 5*a + 20, o = -3*n + 3*a - 1 for n. 0 Suppose 0 = 5*r - 6*r + 1. Solve 5*g - q = 23, g - q = 2*q - r for g. 5 Let w be ((-4)/5)/((-2)/5). Suppose -3*u + 35 = 4*z, 5*u - 39 = z + w*z. Let i = u - 4. Solve 0 = h + 1, -3*x + i*h - 7 = -6*x for x. 4 Suppose -4*c = 2*s - 8, -6 = -4*c + 2*c. Let i be (-2 - -6)/(4 + s). Let g = -5 - -15. Solve l + 12 = -2*t, -4*t - g + i = -2*l for t. -4 Let m be (-218)/5 + 6/(-15). Let c be (-888)/m + (-4)/22. Solve -q + 5*v = -5, 0*q = 4*q + 4*v - c for q. 5 Let w = -4 + 6. Let v = 1 + 4. Suppose v = -5*f + 3*q, 2 = 3*f - 3*q + 11. Solve -3*t = -o - w - 1, -f*t = 0 for o. -3 Suppose -19 = -4*v + 5. Solve v*f - 3*f - 23 = 5*t, f = 5*t + 21 for t. -4 Suppose -5*a = -a + 4. Let i be -10*a/(-4)*-2. Suppose 17 - 7 = i*f. Solve -f*t = 2*y - 12, 6 = 4*y - 4*t - t for y. 4 Let s(d) = d**2 - 5*d + 6. Suppose 5*c - 26 = l, 5*c - 3*c - 13 = 3*l. Let k be s(c). Solve 5*i + 3*m - 10 = -2*m, k = -2*i + 3*m for i. 0 Let o(t) = -2*t + 3. Suppose 3*s = 12, 8 = 4*b + 4*s - 5*s. Let u be o(b). Let c = 3 + u. Solve 3*m + 3*x + 21 = 0, -m - 2*x + 0 - 9 = c for m. -5 Suppose t = 3*t + 4. Let b = 3 - t. Solve b*x + 15 = 0, 0 = i + 3*x - x + 5 for i. 1 Suppose -4*w - z = -18, -4*w + 9 + 5 = -z. Solve -5*b = -w*m - 20, 3*b - m + 5*m + 20 = 0 for b. 0 Suppose -5*z + 18 = -2. Solve 2*m = z*c, 5*c + 10 + 4 = -m for c. -2 Let d = -21 + 23. Solve -d*j - 5*z - 11 = j, -5*j - z = -11 for j. 3 Let l(s) = s**2 - 2. Let o be l(2). Suppose -o*g + 1 = -3. Solve 8 - g = -2*q - 3*m, 0 = -5*m for q. -3 Let w(v) = v**3 - 8*v**2 + 3*v - 10. Let n be w(8). Let h(m) = 2*m + 2. Let a be h(2). Suppose 2*l = a + n. Solve -8*r - 2*g = -3*r - l, -2*r = -g - 13 for r. 4 Suppose -s + 16 = 3*s. Let c(u) = u - 2. Let n be c(6). Let z = s - n. Solve 5*j = z, 3*y - 3*j + 4*j = -15 for y. -5 Suppose -5*m = 4*y - 35, 2*y - 5*m + 0*m + 5 = 0. Solve 5*a + y = 5*r + 25, -2*r - 14 = 4*a for r. -5 Let t(n) = n + 4. Let z be t(8). Solve 5*c - 3*y - z = -0, 2*c = -3*y - 12 for c. 0 Let g be 28*(-3)/(-12) + (-2)/1. Solve 0 = 2*c + 3*z - 1, 0 = -c - 5*z + 2 - g for c. 2 Let g = -7 + 21. Let u = 15 - g. Solve -u = -3*p - 5*v - 17, -2*p - 4 = 2*v for p. 3 Let w = 11 - 5. Solve -4*j + 0*u - 2*u = -12, 0 = 2*j - 4*u - w for j. 3 Let y be (1 + 0)*(-4 + 29). Let p = y + -20. Solve -2*v - p*b - 4 = 0, 0*b = v - 3*b - 9 for v. 3 Suppose -17*b - 5 = -18*b. Solve 5*s = d - 9 - 5, -b*d + 7 = -4*s for d. -1 Let i = 10 - 8. Let f be -2 + 0 + 0 + 18. Solve -3*j - 6 = -i*c - 2, 0 = 4*j + f for c. -4 Let q = -11 + 20. Suppose 0 = -2*w + 3 + q. Let l be 15/(-6)*4/(-5). Solve -3*r - 2 = -l*r + 3*b, -3*r - w = 3*b for r. -2 Let y be ((-2 + 3)*0)/(-2). Solve 5*z + w = 2 + 10, -2*z + 5*w - 6 = y for z. 2 Let d(i) = -2*i - 14. Let u be d(-10). Suppose 0 = u*r - r - 180. Solve 0 = -5*l - 4*h - r, -14 = 2*l + 5*h + 14 for l. -4 Let j = -17 + 18. Suppose 2*t - j = -5*i + 17, -4 = -2*t + 2*i. Solve t*a = a + 5*u - 25, -3*a = -u + 5 for a. 0 Let o(y) = -3*y**2 + 4*y**2 + 0*y**2 - 3*y**2 - y**3. Let s be o(-2). Suppose -2*w = -3*w. Solve -4*a + w*j + 16 = 3*j, s = -a
{ "pile_set_name": "DM Mathematics" }
Differentiate d(n) with respect to n. -4*n Suppose -17 = 4*q - 5*y, q = -0*q - 2*y + 12. Suppose -j = -0*j - q*t - 13, -5*j + 2*t = -25. Differentiate 0*m**j - 3 - 2*m**3 + 1 + 0*m**3 with respect to m. -6*m**2 Let q be ((-1)/(-3))/(4/24). What is the second derivative of 3*i**2 + 0*i - q*i**2 + 2*i - 3*i wrt i? 2 Let y(s) = -17*s**2 + 7*s + 5. Let d(f) = 52*f**2 - 22*f - 16. Let k(a) = -5*d(a) - 16*y(a). What is the second derivative of k(u) wrt u? 24 Let s(q) = -q**4 + q**3 - q + 1. Let u(i) = 12*i**4 - i**3 + 14*i**2 + i - 1. Let k(a) = -s(a) - u(a). Find the third derivative of k(g) wrt g. -264*g Let l(d) be the second derivative of -5*d**7/14 + d**4/4 + 14*d. Find the third derivative of l(k) wrt k. -900*k**2 Let s(y) = -y + 8. Let i be s(6). What is the third derivative of w**2 + 3*w**6 - 2*w**6 + 5*w**6 - 3*w**i wrt w? 720*w**3 Let k(b) = b**3 + 6*b**2 - 7*b + 5. Let l be k(-7). What is the second derivative of d**3 - 2*d + 3*d**l - d**3 wrt d? 60*d**3 Suppose -d - 1 = -c, -6*d + 5 = -3*c - d. Suppose -c = -2*g + 1. What is the third derivative of g*i**3 + 2*i**3 - 3*i**3 - i**2 wrt i? 12 Let g(r) be the second derivative of -2*r**6/3 + r**4 - 12*r. Find the third derivative of g(n) wrt n. -480*n What is the derivative of 3*z**4 - 2 - 10 + 20 - 4*z**4 wrt z? -4*z**3 Let t(g) = g**3 + 7*g**2 - 9*g - 5. Let o be t(-8). What is the derivative of -1 - 1 + 4*b**o - b**3 + 1 wrt b? 9*b**2 Find the second derivative of -15*j**2 + 28*j**2 + j**2 - 17*j wrt j. 28 Let l(r) be the third derivative of -11*r**6/60 + 9*r**5/20 - 26*r**2. Find the third derivative of l(w) wrt w. -132 Let z(c) = c**3 + 3*c**2 - 7*c - 6. Suppose -20 = 5*p - 0*p. Let y be z(p). What is the third derivative of 0*m**6 + m**2 + 0*m**2 - 3*m**y wrt m? -360*m**3 What is the first derivative of 32*r - 20*r + 7 - 13*r wrt r? -1 Let f = -15 - -30. Suppose 0 = 5*x - 0*x - f. Find the second derivative of -1 + 3*l + 1 - 6*l + x*l**4 wrt l. 36*l**2 Let c(k) = k**2 - k + 1. Let q(z) = -8*z**3 + 5*z**2 + 5. Let r(i) = -5*c(i) + q(i). What is the second derivative of r(l) wrt l? -48*l Let y(s) be the first derivative of s**8/560 + s**5/120 + s**3/3 - 3. Let a(i) be the third derivative of y(i). Find the second derivative of a(m) wrt m. 36*m**2 Find the third derivative of 0*h**4 + 5*h**2 + h**2 - 3*h**4 wrt h. -72*h Let o(r) be the first derivative of 2*r**4 + 7*r**2/2 - 13. What is the second derivative of o(j) wrt j? 48*j Let g(n) be the first derivative of -9*n**2/2 - 3*n + 3. What is the first derivative of g(d) wrt d? -9 Let n(o) be the first derivative of 2/3*o**3 + 6 + 0*o + 4*o**2. Find the second derivative of n(x) wrt x. 4 Let m = 23 + -19. What is the second derivative of -b**3 - m*b**3 + b + b + 3*b wrt b? -30*b Let u be -3 + -2 + 2 - -8. Find the third derivative of -4*o**2 - 4*o**2 + o**2 - u*o**4 wrt o. -120*o Let w(f) = -3*f + 6. Let m(u) = 3*u - 7. Let z(c) = -2*m(c) - 3*w(c). What is the derivative of z(b) wrt b? 3 Let n(m) = -m + 7. Let p(q) = q + 1. Let j(u) = -n(u) + 6*p(u). Let d(o) = -20*o + 3. Let a(w) = 4*d(w) + 11*j(w). What is the first derivative of a(c) wrt c? -3 Let r(y) = -y. Let c = -1 + 3. Let f(h) = -1 + h + h + 0*h - 3*h. Let g(o) = c*f(o) - 3*r(o). Differentiate g(n) with respect to n. 1 Let f(y) be the first derivative of -y**6/120 + y**5/60 + 5*y**2/2 - 2. Let i(q) be the second derivative of f(q). What is the third derivative of i(a) wrt a? -6 Suppose v = -2*g - 3, g = 3*g - 4*v - 12. Differentiate -6*k**4 + g*k**4 + 10 - 5*k + 5*k with respect to k. -24*k**3 Find the second derivative of 6*z**2 - 13*z - 4 + 4 wrt z. 12 Let s(j) = -1. Let w(d) be the second derivative of d**3/2 - d**2/2 + d. Let y(k) = -s(k) - w(k). Differentiate y(t) wrt t. -3 Let p(b) = -b**3 - 10*b**2 - 2*b - 14. Let j be p(-10). Find the first derivative of 3 + 7 - 4*i**3 - j wrt i. -12*i**2 Let u(o) = -9*o**4 - 7*o**3 + 7*o**2 + 22. Let c(s) = 6*s**4 + 5*s**3 - 5*s**2 - 15. Let g(m) = 7*c(m) + 5*u(m). What is the first derivative of g(b) wrt b? -12*b**3 What is the third derivative of 33 + 4*m**5 - 33 + 13*m**2 wrt m? 240*m**2 Let w(n) be the first derivative of 0*n + 0*n**5 - 2/3*n**6 + 4 + 0*n**4 + 0*n**3 + 3/2*n**2. What is the second derivative of w(b) wrt b? -80*b**3 Let r(f) be the first derivative of f**3 - 11*f**2/2 - 5. What is the second derivative of r(g) wrt g? 6 Suppose 7 = t - 0. Find the second derivative of -52 - 6*y**2 + 52 + t*y wrt y. -12 Let c(b) = 26*b**2 + 11*b + 2*b - b - b - 1. Let q(u) = -5*u**2 - 2*u. Let p(j) = 2*c(j) + 11*q(j). Differentiate p(n) with respect to n. -6*n Let h(p) be the first derivative of -16*p**7/7 - 4*p**3 - 11. Find the third derivative of h(z) wrt z. -1920*z**3 Let m = 3 + 1. Let q = 7 - m. What is the derivative of -j**2 + 3*j - q*j + 2 wrt j? -2*j Let o(j) be the third derivative of j**8/28 + 5*j**4/24 - 4*j**2. Find the second derivative of o(l) wrt l. 240*l**3 Let s be (-46)/(-4) - 2/4. Let j be (-3)/(-5)*(s - 6). Differentiate -3*g + 3*g + j*g**3 - 3 with respect to g. 9*g**2 What is the derivative of -2 - 2 + 6*o**3 + 5 wrt o? 18*o**2 What is the second derivative of -6*h - 11*h**2 + 17*h + 21*h + 10*h wrt h? -22 Let a(z) = 17. Let j(v) = -v**2 - 1. Let u(b) = a(b) - 2*j(b). What is the derivative of u(l) wrt l? 4*l Let l(m) = m - 6. Let k be l(9). What is the third derivative of -15*d**2 + 7*d**2 + k*d**6 - 4*d**6 wrt d? -120*d**3 Suppose 2*i = 7*i - 15. What is the second derivative of -2*f + f**i - 3*f**4 + 5*f - f**3 wrt f? -36*f**2 Let f(y) be the second derivative of -2*y**7/105 + y**5/20 - 2*y**2 + 5*y. Let c(n) be the first derivative of f(n). Find the third derivative of c(t) wrt t. -96*t Let a(o) be the first derivative of -11*o**3/3 + 13*o**2 + 17. Find the second derivative of a(r) wrt r. -22 Let v(z) be the second derivative of 13*z**4/12 + 7*z**3/6 + 5*z. What is the second derivative of v(n) wrt n? 26 Let t = -1 + 3. What is the derivative of 0 + t + 13*a - 8*a wrt a? 5 Let l(t) be the second derivative of 0*t**6 + 0*t**2 + 1/14*t**7 + 0*t**5 + 1/3*t**3 + 0 - t + 0*t**4. What is the second derivative of l(o) wrt o? 60*o**3 Let a(l) = 32*l - 21. Let n(z) = -63*z + 43. Let j(o) = -5*a(o) - 3*n(o). Differentiate j(t) with respect to t. 29 Suppose -2*g = -3*k - 21, 0*k - 3*k - 6 = 3*g. What is the third derivative of g*t**2 - 5*t**3 + 0*t**2 - t**3 + t**3 wrt t? -30 Let i be (-10)/55 + 128/(-22). Let n be 3/(-9) - 14/i. Find the first derivative of -2*p**3 + 1 - p**2 + p**n wrt p. -6*p**2 Suppose -a + 0*a - 12 = 0. Let k = -8 - a. What is the second derivative of j**3 - 3*j - k*j**5 - j**3 + 2*j**5 wrt j? -40*j**3 Let i be 3/12 + 141/12. Suppose l + 2 - 9 = 5*k, 5*l - i = 2*k. Find the second derivative of 2*f - f**2 + l*f**2 - 2*f**2 wrt f. -2 What is the derivative of -15 - 4*k**2 + 21*k**2 + 25 wrt k? 34*k What is the second derivative of -26*o**5 - o + 3*o - 17*o**5 wrt o? -860*o**3 Let a(t) be the first derivative of -4 + 2/3*t**3 + t**4 + 0*t**2 + 0*t. What is the third derivative of a(q) wrt q? 24 Let h(q) be the second derivative of 0 + 0*q**3 + 3/4*q**4 + 2*q**2 + 8*q. Find the first derivative of h(r) wrt r. 18*r Let x(i) = 2*i**3 + 9*i**2 + 14*i. Let s(q) = q**3 + 4*q**2 + 7*q. Let t(d) = -9*s(d) + 4*x(d). What is the second derivative of t(j) wrt j? -6*j Let d(c) be the third derivative of c**8/1344 - c**6/360 - c**4/4 - 5*c**2. Let f(y) be the second derivative of d(y). Find the second derivative of f(g) wrt g. 30*g Suppose 4*z + 0 = -12. Let w = 1 - z. Find the third derivative of 0*s**3 + w*s**2 - 2*s**3 - 5*s**2 wrt s. -12 What is the derivative of -4 + 8 - 65*y**3 + 65*y**3 + 18*y**4 wrt y? 72*y**3 Suppose -2 = -5*g + 4*g. Differentiate -28*a + 15*a + 3*a**2 + 13*a + g wrt a. 6*a Suppose 0 = 7*t - 3*t. Let x = 1 + t. What is the derivative of j**3 + 5*j - 5*j + x wrt j? 3*j**2 Suppose 0 = -5*l + 13 + 2. Find the third derivative of c**3 - 5*c**2 + 6*c**2 - 5*c**l + 5*c**2 wrt c. -24 Suppose -5*m + 6 + 14 = 0. What is the second derivative of s**2 + 0*s - s**2 + m*s**4 - 2*s wrt s? 48*s**2 Let w(x) be the third derivative of -2*x**6/15 + x**5/30 + 9*x**2. What is the third derivative of w(h) wrt h? -96 Let f(h) = -h**2 - 12*h + 9. Let a be f(-12). Find the second derivative of 5*m**2 + 3*
{ "pile_set_name": "DM Mathematics" }
without replacement from jjjjjojpj. What is prob of sequence jp? 7/72 What is prob of sequence lls when three letters picked without replacement from {l: 2, s: 1, c: 1, t: 1}? 1/30 What is prob of sequence oo when two letters picked without replacement from qqqiqroorrrrurqqqro? 1/57 What is prob of sequence ibib when four letters picked without replacement from bibiiibiii? 1/20 Calculate prob of sequence booo when four letters picked without replacement from ooooooboooooooooio. 7/153 What is prob of sequence wh when two letters picked without replacement from {h: 3, o: 3, w: 1, t: 6, j: 5}? 1/102 What is prob of sequence apbb when four letters picked without replacement from bpbpbapabbabpbbb? 9/455 Two letters picked without replacement from izymxzxy. Give prob of sequence yz. 1/14 Calculate prob of sequence llg when three letters picked without replacement from gllgvgglvlglg. 10/143 Calculate prob of sequence dd when two letters picked without replacement from dddll. 3/10 Calculate prob of sequence uu when two letters picked without replacement from uuuiiieiuuuiuv. 3/13 Three letters picked without replacement from nxnnnnqhxnq. What is prob of sequence qnn? 2/33 Calculate prob of sequence php when three letters picked without replacement from spchcpc. 1/105 Calculate prob of sequence ep when two letters picked without replacement from {e: 1, d: 2, w: 1, p: 1, f: 1, m: 1}. 1/42 What is prob of sequence hx when two letters picked without replacement from {q: 2, h: 1, k: 2, x: 1, d: 1}? 1/42 Two letters picked without replacement from ooooaaa. What is prob of sequence aa? 1/7 Calculate prob of sequence hhhh when four letters picked without replacement from {h: 11, m: 1}. 2/3 What is prob of sequence jjjo when four letters picked without replacement from {j: 4, o: 7}? 7/330 Three letters picked without replacement from kllllk. Give prob of sequence kkl. 1/15 Two letters picked without replacement from usxyhxehhhyyhuu. Give prob of sequence hu. 1/14 What is prob of sequence qqa when three letters picked without replacement from qqqqqaqqqqqqq? 1/13 Three letters picked without replacement from {r: 5, j: 3, a: 2, e: 6, g: 1}. What is prob of sequence ejg? 3/680 Four letters picked without replacement from hhxffxxfxfh. Give prob of sequence xhfx. 1/55 Two letters picked without replacement from {u: 7, o: 4, s: 3, f: 4}. What is prob of sequence uu? 7/51 What is prob of sequence qam when three letters picked without replacement from {q: 1, f: 4, m: 1, v: 1, a: 2}? 1/252 What is prob of sequence ll when two letters picked without replacement from {l: 3}? 1 What is prob of sequence kk when two letters picked without replacement from {k: 7, c: 6}? 7/26 Calculate prob of sequence tu when two letters picked without replacement from oqizzut. 1/42 What is prob of sequence aay when three letters picked without replacement from ayay? 1/6 Three letters picked without replacement from {h: 2, b: 7}. What is prob of sequence hhb? 1/36 Four letters picked without replacement from drdbrrrddkddk. What is prob of sequence ddrr? 3/143 Four letters picked without replacement from blluuubuzzuuuu. What is prob of sequence blzl? 1/3003 Four letters picked without replacement from mdrrcmcdaddrodd. What is prob of sequence ddac? 1/546 Three letters picked without replacement from {f: 4, v: 6, j: 2}. Give prob of sequence fff. 1/55 Two letters picked without replacement from {d: 18, u: 1}. Give prob of sequence dd. 17/19 Four letters picked without replacement from wrrtwrwrffwvrfjjjj. What is prob of sequence fjrj? 1/408 What is prob of sequence yb when two letters picked without replacement from pbpyypoybpo? 3/55 What is prob of sequence ozo when three letters picked without replacement from ooooooooooooooz? 1/15 Calculate prob of sequence gb when two letters picked without replacement from {g: 2, a: 1, b: 2, c: 2, p: 1}. 1/14 What is prob of sequence qux when three letters picked without replacement from {o: 2, u: 1, x: 1, q: 1}? 1/60 Three letters picked without replacement from {n: 1, r: 1, m: 5, k: 3, c: 3}. Give prob of sequence kkk. 1/286 Three letters picked without replacement from dwwddwwwwwwwwdwwww. Give prob of sequence dwd. 7/204 Four letters picked without replacement from {d: 2, w: 1, o: 4, u: 5, s: 2, r: 1}. Give prob of sequence uwdd. 1/3276 Two letters picked without replacement from rrgrrggorrrorrrrr. What is prob of sequence or? 3/34 Three letters picked without replacement from wrbrwp. What is prob of sequence rwp? 1/30 Two letters picked without replacement from llzzzz. Give prob of sequence zz. 2/5 Three letters picked without replacement from {e: 4, g: 1, y: 2}. What is prob of sequence egy? 4/105 Two letters picked without replacement from okkhohkhokhh. What is prob of sequence ho? 5/44 Two letters picked without replacement from {y: 8, u: 3}. Give prob of sequence yu. 12/55 Three letters picked without replacement from ieiihzeieizezie. Give prob of sequence eeh. 2/273 What is prob of sequence gj when two letters picked without replacement from ggjghjjjj? 5/24 Three letters picked without replacement from igaivvaaaaagaaag. Give prob of sequence avi. 3/280 Calculate prob of sequence nznn when four letters picked without replacement from zznzzzzzznzzzzzn. 1/560 Calculate prob of sequence fa when two letters picked without replacement from abaaaafaa. 7/72 What is prob of sequence ew when two letters picked without replacement from riwtttevweee? 2/33 What is prob of sequence mgtg when four letters picked without replacement from {a: 1, t: 2, g: 2, m: 6, u: 5}? 1/1820 What is prob of sequence youx when four letters picked without replacement from {x: 2, o: 4, z: 6, y: 3, u: 1}? 1/1820 Four letters picked without replacement from {w: 1, r: 1, h: 2, k: 1, d: 2}. What is prob of sequence dhrd? 1/210 Two letters picked without replacement from {g: 4, j: 2, v: 1}. Give prob of sequence jj. 1/21 Two letters picked without replacement from clnqg. Give prob of sequence gc. 1/20 Three letters picked without replacement from kkkkkkkkkklkkkkkkkk. What is prob of sequence kkk? 16/19 Three letters picked without replacement from {e: 2, i: 7}. Give prob of sequence eii. 1/6 Calculate prob of sequence ggap when four letters picked without replacement from {a: 4, p: 1, g: 2}. 1/105 Two letters picked without replacement from {m: 1, t: 1, c: 2, n: 5}. Give prob of sequence nm. 5/72 What is prob of sequence gjl when three letters picked without replacement from {g: 1, l: 1, j: 2, s: 1, c: 2}? 1/105 What is prob of sequence fm when two letters picked without replacement from bfuumubu? 1/56 What is prob of sequence oo when two letters picked without replacement from wwoewoewowooweweo? 15/136 Calculate prob of sequence zii when three letters picked without replacement from {z: 1, i: 3, c: 1}. 1/10 What is prob of sequence um when two letters picked without replacement from mmccmcumcmmmcc? 1/26 Calculate prob of sequence yy when two letters picked without replacement from yyuzuyuuyzy. 2/11 Two letters picked without replacement from {a: 1, j: 1, y: 3, c: 4, f: 2}. Give prob of sequence af. 1/55 Three letters picked without replacement from nnq. Give prob of sequence qqn. 0 What is prob of sequence px when two letters picked without replacement from {x: 5, p: 5}? 5/18 Two letters picked without replacement from {m: 14, g: 5}. What is prob of sequence mm? 91/171 Calculate prob of sequence zq when two letters picked without replacement from {z: 1, i: 1, q: 1, l: 1, b: 1}. 1/20 Calculate prob of sequence krlf when four letters picked without replacement from nrrkkkhkrfll. 1/495 Calculate prob of sequence luvm when four letters picked without replacement from {m: 1, r: 3, u: 3, q: 8, v: 2, l: 1}. 1/12240 Four letters picked without replacement from lfufufnlunnufuvfnfuf. What is prob of sequence uulv? 1/1938 Calculate prob of sequence rr when two letters picked without replacement from {r: 3}. 1 What is prob of sequence pt when two letters picked without replacement from {g: 1, k: 6, t: 1, n: 3, p: 5, b: 1}? 5/272 Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvv. 1 Three letters picked without replacement from {e: 16, a: 4}. What is prob o
{ "pile_set_name": "DM Mathematics" }
second smallest value? (a) -4 (b) d (c) -0.2 c Let o = -17693/47160 + 1/5895. What is the third biggest value in o, 9, 3, 0.3, -3? 0.3 Let r be -11*3/6*146/73. Which is the second biggest value? (a) 5 (b) r (c) 0.3 (d) 40 (e) 1 a Let x = 225 + -225.412. Let m = -4.412 - x. Let w be 1*1/(-4) + 0. What is the second smallest value in 0.05, 0, m, w? w Suppose -102 = 18*c + 96. Let p be c/(-15) - 8/12. What is the biggest value in p, -3/4, -3? p Let z = 16159 - 80796/5. Let y be ((-4)/28)/(6/(-21)). What is the fourth smallest value in -2/11, y, 1, z? 1 Let z = -8601.014 + 8601. What is the second biggest value in -12, 3, z? z Let q = 36.4 + -40. Let z = q + 7.5. Let u = 4 - z. What is the second smallest value in 25, 0.3, u? 0.3 Let l = -0.0134 + 4.3134. Which is the second smallest value? (a) l (b) -4 (c) 1/3 c Let r = 64 + -64.1. Let j = -0.341 - 3.659. Let v = -2.3 - 0.7. What is the smallest value in r, v, 8, j? j Let w = -11079.21 - -11011. Let t = -68 - w. Let r = t + -0.21. Which is the second smallest value? (a) -12 (b) r (c) 5 b Let l = 2.1 - 2. Suppose 2888 + 2059 = 1262*b + 387*b. What is the second biggest value in b, l, 17? b Let k = 6 + -2. Let z be (-1)/(-3)*15 + 7/(28/(-17)). Which is the biggest value? (a) -4 (b) z (c) -0.1 (d) k d Let r be (7 + (-187)/22 - -1)*-4. Which is the biggest value? (a) r (b) -31 (c) 5 c Let m = -281.77 - -285.77. Which is the fourth smallest value? (a) 0 (b) m (c) 3.4 (d) -2/15 (e) 2 c Let s = -0.19112 - -0.08112. Which is the second smallest value? (a) 19/3 (b) 1 (c) s b Let j(p) = -p**2 + 8*p - 20. Let q be j(3). Let o = 483 - 485. Which is the smallest value? (a) -0.4 (b) q (c) 0.01 (d) o b Suppose 0 = -6*t - 0*t + 24. Suppose -7*q - t = -32. Let n = q - 4. Which is the third smallest value? (a) n (b) -1/2 (c) -0.4 a Let z be (-234)/90 + (-37)/(-20). What is the second smallest value in -482, z, -2? -2 Let h = -0.0141 + -0.2859. Let t = -21 + 25. Which is the fourth biggest value? (a) 0 (b) h (c) t (d) 1/4 b Let o be (-1)/((4/8)/(7 + (-100)/8)). Which is the second smallest value? (a) 4 (b) -5 (c) 0 (d) o c Let f = 11.68 + -4.68. Which is the second smallest value? (a) f (b) -4 (c) -5 (d) -1 b Let d = -1.33 - -134.33. Let w = d - 132.6. Which is the third smallest value? (a) 3/4 (b) 4.5 (c) w b Let j = -501 + 512. Let v = -50.3 + 50. What is the fourth biggest value in 0, -2/3, v, j? -2/3 Let g = 186 - 131. Let d = -57 + g. What is the biggest value in 3, 4, d, 2/7? 4 Let y be 14 + (-528)/64 - (-7)/(21/(-18)). What is the biggest value in -708, -2, -5, y? y Let g = 6604 + -6602. What is the second biggest value in 5, g, -2, -1.5, -24? g Suppose -u + 30*g - 32*g + 5 = 0, -3*u + 14 = 5*g. What is the second biggest value in -0.5, -2, u, -106, 0.2? 0.2 Let v = -1058/11 - -96. Let z = -8 - -7.6. Let j be 2/8 - 84/208. What is the smallest value in 2/5, z, v, j? z Let c = 2042.283 + -2146.32. Let j = c - -0.037. Let f = 117 + j. What is the second biggest value in f, -1/4, -1? -1/4 Let f = -2 - -6. Let t = 38.63 + -6.93. Let r = t + -31.2. What is the third smallest value in r, -3, f? f Let k(r) be the third derivative of -r**6/120 - 3*r**5/20 - 7*r**4/12 - r**3/3 - 31*r**2. Let d be k(-7). What is the biggest value in 0.2, -0.4, d? 0.2 Let p = -24.4 - -426.4. Let d = -409 + p. Which is the second biggest value? (a) -2 (b) d (c) 1 a Let w = 32 - 414/13. Suppose 0 = -4*r - 4*h + 30 + 26, r + 4*h = -1. Let u be (r - 12) + (-78)/10. What is the biggest value in w, u, 1? 1 Let c = 30899/4 - 517569/67. Let j = c + -6/67. Let k = 3 + -3.1. What is the third biggest value in -1/3, j, k? -1/3 Let b = -3716 - -3716.33. What is the smallest value in b, -4, 5? -4 Suppose 64*j = -142 - 53 - 573. Which is the smallest value? (a) j (b) 33 (c) 2 a Let t = 3159 + -3157. Which is the second smallest value? (a) t (b) 0.5 (c) 117 (d) 5 a Let g = -1409 - -1408. Let m = 766/7 - 110. Which is the third biggest value? (a) m (b) -2 (c) 0 (d) g d Let z = -16547 + 16548. What is the third biggest value in -5, z, -3/62? -5 Let z be ((-206)/(-21))/2 - (0 + (-35)/(-7)). What is the biggest value in z, 4, 3/4, 0? 4 Let z be 2*-2*3*1/36. Which is the fourth smallest value? (a) -4 (b) 4/139 (c) 3 (d) z c Let b = 1.401 + -2.401. What is the smallest value in 6, b, -2, 3? -2 Suppose 2*h - 4 = 0, 216*g - 211*g - 8655 = -5*h. Let j = g + -1732. Let l be (-2)/((2/1)/2). What is the biggest value in j, l, 24/13? 24/13 Let x = -3742.9 - -3692.9. What is the smallest value in x, -0.6, 1? x Let q = 30091 + -30089. What is the third smallest value in -0.0226, q, 2/9? q Let h be (-1)/(-3*(-7)/(-42)). Let g(z) = 28*z**2 + 7*z - 16. Let n be g(h). Which is the second smallest value? (a) 1 (b) 1/2 (c) n a Let a = -295 - -294. Let s = -35 - -38. What is the biggest value in 1, -1/10, a, s? s Suppose -12 = -6*l - 0. Suppose -4*t + 6*t = -4*y + 10, -l*y = 2*t - 10. Suppose 2*u + u = 3, t*d + 28 = 3*u. What is the biggest value in 1, 0, d? 1 Let w = -44.5 + 266.5. Let k = w + -238. What is the second biggest value in 1, k, -4? -4 Let x be 530/(-50) - (5/2)/(6/(-12)). What is the second biggest value in -0.1, x, 3? -0.1 Suppose 2*j - 5*f + 16 = -f, 4*j + 4*f - 16 = 0. Let o = -391/72 + 50/9. Which is the second biggest value? (a) 0.2 (b) o (c) j b Let o be 2/(-6)*1506/(-5). Let n = 101 - o. Let r = 42862.3 - 42862. What is the fourth biggest value in r, n, 2/7, 0.1? 0.1 Suppose -5*j + 17 = -2*u, 4*j + 64*u = 67*u + 22. Let r = 13 + -9. Let b = -4 + 4. What is the fourth biggest value in 2/15, r, b, j? b Let f = -0.54 + -19.46. Let t = 20.4 + f. Which is the third biggest value? (a) 0.031 (b) 4 (c) t a Let f = 67.58 + -71.58. Which is the biggest value? (a) -0.4 (b) -2/9 (c) 5 (d) f (e) 0.2 c Let z = -6136 - -6136.0136. What is the second smallest value in -4, 2/9, 4, z? z Let j(r) = -r**3 - 31*r**2 - 255*r - 515. Let k be j(-19). Let z = -12/25 - -23/100. Which is the third biggest value? (a) z (b) 0.3 (c) k (d) -1/3 d Let h = 305827/8 - 38068. Let k = h - 160. Let f be (-2 - 110/(-52))*156/117. Which is the second biggest value? (a) -1 (b) k (c) f (d) 2 b Let l = -10 + 9.5. Let j be -1 + 4 + (-2159)/(-17). Let n = j - 125. What is the smallest value in l, -3/7, n? l Let f = 10 + -8.9. Let j = f + -1. Let z = -22.343 + 22.323. Which is the biggest value? (a) z (b) 2 (c) j b Let s = 2459.1 - 2459. What is the smallest value in -4/5, s, 10, -7, -2? -7 Let d be 1/(2/6) + (-60)/10. Suppose 5*x = -r - 22, -3*x + 2*x + 10 = 5*r. Which is the smallest value? (a) r (b) 4 (c) d c Let w = -0.0511 - -0.4511. What is the fourth biggest value in -2, 25, -3/7, w? -2 Let q = 4582.94 + -4538. Let m = q + -45. What is the second smallest value in 0.2, m, -13? m Suppose -6*g + 207 = 39. Let s be 56/28 + -3*(g + 0). What is the third biggest value in s, -1/6, -5? s Let s = -0.42 + 0.02. Let u = 4.66 + -4.4. Let f = 3893 + -3893.5. Which is the second smallest value? (a) u (b) s (c) f b Let g be 0*(-1)/(-3) + (-6744)/135. Let i = g + 887/9. Let m = 49 - i. What is the third smallest value in -2/15, m, -0.2? m Suppose n - 5*v - 13 = -40, -3*v = -4*n - 23. Let r = 7051 + -7046. Which is the biggest value? (a) 0 (b) r (c) n (d) -3 b Let v = 39016.7 - 39016. Suppose -3*g - 2*g = -15. Which is the biggest value? (a) g (b) v (c) -1 (d) 4/5 a Let i = 6281.6 + -6282. Let m = 0.8 - 1. Let h = 0 + m. Which is the fourth smallest value? (a) i (b) 1/8 (c) -6 (d) h b Let h = -4732 - -4731.92. Which is the fourth smallest value? (a) 1/6 (b) -0.3 (c) h (d) 3/7 d Let i be (71/63)/((-66)/9). Let p = i + -1/77. Let j = 3453.89 + -3454. Which is the third biggest value? (a) j (b) p (c) -2/5 c Let m = -8217 - -8218.57. Which is the third biggest value? (a) m (b) 2 (c) -5 c Let a = 4.4 + 1.8. Let b = -6 + a. Let z = -4.7487 - 0.2513. What is the third smallest value in b, z, -2/5, 0? 0 Let r = 5256 + -5252. Let v be (-16)/(-7) + 16/(-56). What is the fourth biggest value in -3/4, r, v, 2/7? -3/4 Let k = 1/946 - 475/1892. Which is the second smallest value? (a) k (b) -1669 (c) -5 c Let f = 9 - 10.4. Let c = -951101/3 + 317033. What is the fourth biggest value in c, 4,
{ "pile_set_name": "DM Mathematics" }
to l + v*o and give v. -449 Express (-5 + 2 + 0)*(-57 - 58 + 33)*(r**3 + 1 - 1) as n*r**2 + i + c*r**3 + x*r and give c. 246 Express -247*p**3 - 249*p**3 - 12 + 502*p**3 in the form q*p**2 + m + o*p + n*p**3 and give n. 6 Rearrange -m**2 + 0*m - 22*m**2 - m + 13*m**2 - 3*m**4 + m**3 to l*m + k + w*m**3 + c*m**2 + y*m**4 and give w. 1 Rearrange 36*y**2 - 22*y**2 + 27*y**2 + 27*y**2 + (4 + 2 - 3)*(4*y**2 - 4*y**2 - 2*y**2) to the form g*y + m*y**2 + s and give m. 62 Rearrange -29*u + 2*u**3 - 160*u**2 + 48*u**2 - 5*u**3 + u**3 + 31*u - 1 to k*u**2 + w + v*u + j*u**3 and give w. -1 Express -559*t - 1 + 0 + 1 + 1529*t as u + v*t and give v. 970 Rearrange 101*u**2 - 151 - 7*u**2 + 142 to m*u**2 + y*u + x and give x. -9 Rearrange (5 - 5 - 2*r**2)*(-r + 0*r + 4*r)*(3 + 1 - 3)*(11 + 8 + 8) to the form s*r**2 + t*r + o*r**3 + l and give o. -162 Rearrange (-c + 0 + 0)*(-4 + 2 + 3) - 2*c + c - c + (-c - 3*c + 2*c)*(0 + 3 - 5) - 2*c - 79*c - 18*c to the form g*c + t and give g. -98 Express -69 + 6*q - q - q - 3*q in the form l + z*q and give z. 1 Rearrange -7*s**4 - s**3 + 24*s**2 + 7*s - 21*s**2 - 31*s**4 - 2*s**2 to c*s**3 + g + b*s + f*s**4 + o*s**2 and give c. -1 Express 42*d**4 - 21*d**4 - 2*d**2 - 1 - 23*d**4 - 6*d + 1 as u + w*d + n*d**3 + i*d**2 + q*d**4 and give i. -2 Express 13*d**3 + 47*d**3 - 14*d**3 + (5 - 5 - 2*d)*(-2*d**2 - d**2 - d**2) in the form z*d**2 + p + y*d**3 + s*d and give y. 54 Rearrange (3 - 1 + 0)*(3 + 4 - 5)*(a + 0*a + a + (1 + 2 - 2)*(a + a - 3*a)) + (0*a - 2*a - a)*(-5 + 1 + 1) to the form z*a + y and give z. 13 Rearrange 5053*q**3 + 76 - 2520*q**3 - 2527*q**3 + 13 to i*q + m*q**2 + z*q**3 + b and give b. 89 Express 148154 - 30*g**2 - 148154 + 16*g in the form m*g**2 + h*g + s and give m. -30 Rearrange -2 + 270*x**2 - 5 - x**3 + x - 262*x**2 + 5 to d*x**2 + y*x**3 + o + w*x and give d. 8 Express -294*y - 411*y + 206*y - 958*y in the form d*y + i and give d. -1457 Rearrange (-14 - 4 + 210)*(-6*j + 0*j + 3*j) to the form u*j + v and give u. -576 Express (3*u**2 - 3*u**2 - 2*u**3)*(-2 - 3 + 7 + (114 - 256 - 242)*(-2 + 0 + 1)) as g*u**2 + b*u**3 + x*u + t and give b. -772 Express (-x**2 - 3*x + 3*x)*((2*x + 4 - 4)*(14 - 6*x - 14) + 3*x**2 + 4 - 4) in the form a*x**2 + r*x**3 + u*x**4 + b*x + j and give u. 9 Express -35*b**2 + b**4 - 2*b**3 + b - 2 - 6*b + 35*b**2 as d + t*b**4 + s*b + f*b**2 + x*b**3 and give d. -2 Rearrange 64*u**2 - 174*u + 3 - 177*u + 351*u to l*u + a*u**2 + j and give a. 64 Rearrange 21 - 1 - 9 - 4 + 16*u to s*u + l and give s. 16 Rearrange 0*r**2 - 13*r + 47*r - 1 + 12*r**2 - 21*r to j + l*r**2 + p*r and give p. 13 Express 0*u**3 - 2*u**2 + 8906*u**4 - u - 8908*u**4 + 2*u**3 + 7 as p*u**3 + b*u**4 + a*u + h + o*u**2 and give a. -1 Rearrange (2*c**3 - 2*c**3 + 3*c**3)*(-3 + 3 + 6*c) + 3 - 21*c**2 - 2*c**4 + 24*c**2 + 0*c**4 to the form f*c + j*c**4 + n + l*c**2 + k*c**3 and give l. 3 Express -65*v**2 - 6*v**2 - 25*v**2 - 16*v**2 in the form g + w*v + q*v**2 and give q. -112 Rearrange 4*a**2 + 72 - a**3 - 71 + a**2 + 17*a**2 + 0*a**2 to the form x + b*a**2 + u*a + r*a**3 and give x. 1 Rearrange -1616*j - 609*j - 370*j - 628*j + 703*j to c + k*j and give k. -2520 Express (-1 - 1 + 3)*(u**3 - u**3 + u**3) + 129 - 124 - 16*u**3 + 124*u**3 in the form r + j*u**3 + b*u**2 + n*u and give r. 5 Express 11*u - 9*u + 5 - 3*u**2 + 12*u**4 + 0*u**4 - 5 - 2*u**3 as w*u**4 + n*u**3 + d*u + m + j*u**2 and give w. 12 Express -2 + 2*b**2 - 494*b**3 - 494*b**3 - 4*b + b**4 + 985*b**3 as g*b**2 + m + t*b + d*b**3 + p*b**4 and give d. -3 Rearrange -3 - 7*b**3 + 6*b - 14 - 5*b + 3*b**4 + 6*b**3 to r*b**4 + q*b + x + u*b**2 + g*b**3 and give x. -17 Rearrange (-3*s + 5*s - s)*(-16465 - 1213*s + 16465)*(-1 + 1 - 2) to t*s + w + y*s**2 and give y. 2426 Rearrange (0*d - d - d)*(-182*d - 917 + 917) to the form c + b*d**2 + a*d and give a. 0 Rearrange 5*v + 24*v + 30*v + (0 + 3 - 1)*(-v + 2 - 2) + (-1 - 1 + 1)*(3*v - v + 0*v) + 2*v - v - 3*v + 0*v - v - v + 3*v + 3*v - 4*v to z + o*v and give o. 53 Rearrange (11 + 15 - 2)*(3*u**4 + 4*u**4 - 3*u**4) + u**4 - 7*u**4 + 3*u**4 to the form g*u + l*u**4 + k + n*u**3 + d*u**2 and give l. 93 Rearrange ((5 - 22 - 4)*(2*u + u - 5*u) + 28*u - 26 + 26)*(3 - 3 - 2*u) to x*u**2 + b*u + m and give x. -140 Rearrange (s - 72 + 3417*s**2 + 3421*s**2 - 6836*s**2)*(-2*s**2 + 2*s**2 + 2*s**2) to t + k*s**3 + z*s**4 + w*s**2 + v*s and give w. -144 Rearrange -36*m - 1 - 19*m + 2 + 9*m to c*m + d and give c. -46 Rearrange 32*u - 37*u + 2*u + 2 - 96*u to the form n + o*u and give n. 2 Rearrange ((-1 - 6 + 5)*(4 + 1 - 2) + 2 + 4 - 5 + (-4 + 6 + 6)*(0 + 0 + 2))*(0*a**3 - 2*a**3 - 2*a**3) to the form v*a + t + m*a**2 + d*a**3 and give d. -44 Rearrange -2 + 1108*q**2 + 2 - 943*q**2 + 1724*q**2 + (-2*q - 4 + 4)*(-2*q + 3*q - 3*q) to o + k*q + m*q**2 and give m. 1893 Rearrange 4*v**2 + 67*v + 3 + 0 - 27*v - 6*v**2 to l + b*v**2 + k*v and give k. 40 Rearrange 13*t + 10*t**2 - 30*t + 2*t**3 + 15*t + 15*t**2 to the form i*t**2 + j*t**3 + c + n*t and give i. 25 Rearrange 51 + 485*d - 97 + 46 to y + b*d and give b. 485 Express (1 + 0 + 0 + (2 - 1 + 1)*(0 + 1 + 0))*(0 - 3*b + 0)*(15 - 4 - 9)*(2 - 1 + 1) in the form g + v*b and give v. -36 Express -36*b**4 - 2*b**2 + 2 - 3 + 6*b**2 + 34*b**4 + 16*b - 3*b**2 as g*b**4 + m*b + o*b**3 + l + d*b**2 and give g. -2 Rearrange 118*r - 101*r - 523*r to the form i*r + w and give i. -506 Express (-108*d + 9*d**2 + 108*d)*(-d + 0*d - d + (1 + 2 - 4)*(-1 + 1 - 5*d)) as z*d**2 + h*d + m + t*d**3 and give t. 27 Rearrange 249*l**4 + l**3 - 44*l**2 - 6*l + 46*l**2 + 6*l - 228*l**4 to the form z*l**2 + c*l**4 + w*l**3 + q + f*l and give c. 21 Rearrange -14*i**2 - 38 - 5*i - 8 + 44 - 2*i to the form n*i + m + s*i**2 and give n. -7 Express p + 0 + 0 + (35*p + 25*p - 7*p)*(-2 + 5 - 2)*(-2 + 7 + 10) in the form u*p + x and give u. 796 Rearrange 272*t**2 + 2*t - 4 + 310*t**2 - 8 - 577*t**2 + 2*t**3 + 5*t**4 to the form d + b*t**2 + n*t**4 + u*t**3 + z*t and give n. 5 Rearrange -15*d - 9*d - d + 6*d - d - 4 to y + t*d and give y. -4 Express -6*u**2 - 8*u**2 - 4*u**2 - u**2 - 4*u + 4*u + (5 - 4 - 2)*(5*u**2 - 4*u**2 + u**2) + u**2 + 0*u**2 + 0*u**2 in the form d*u**2 + p + a*u and give d. -20 Express -3*w**2 - 7 + 0 + 3 - 3*w + 2*w**3 in the form g + t*w**2 + o*w**3 + q*w and give q. -3 Rearrange r**4 - 4*r**2 + 2*r**4 - 5*r**4 + (-4*r + 74*r - 35*r)*(3*r**3 - 2*r**3 + r**3) to h*r**3 + z*r**2 + t*r + f + o*r**4 and give o. 68 Express -1139 + 128*b**2 + 1139 as l + p*b + c*b**2 and give c. 128 Rearrange 13*x + 931*x**3 - 7*x - x**2 - 928*x**3 + 1 to the form c*x**3 + i + j*x**2 + m*x and give c. 3 Rearrange (-2 - 1 + 4)*(-5*w + 4*w + 2*w)*(19 - 107 - 61) to the form b*w + c and give b. -149 Express -316 - 6*o - 5*o + 12*o - 3*o as g + h*o and give h. -2 Rearrange (0 - 2 + 9)*(-2*l + 0*l + 3*l - 2*l + 3 - 3 + (0*l - l + 0*l)*(0 + 2 + 0) + 11*l + 4*l - 3*l)*(0*l - l - 2*l) to the form b + t*l + i*l**2 and give i. -189 Express (-584*r - 150*r - 200*r)*(3*r**2 + 0*r**2 - 2*r**2) in the form s*r + f + p*r**3 + x*r**2 and give p. -934 Express 22*w**2 - 22*w**2 - 34*w**4 + (-w**2 + w**2 - 5*w**2)*(-w**2 + 4 - 4) as o*w + u*w**4 + l*w**3 + k*w**2 + q and give u. -29 Rearrange (0*g**2 - g**2 - 2*g**2)*(9*g - 3*g - 2*g)*(-3 - 2 + 2) to l + b*g**3 + i*g + q*g**2 and give b. 36 Rearrange -4*g - 3*g - 25*g + 2*g - 32*g to f + c*g and give c. -62 Rearrange (36*n**2 - 53*n**2 - 71*n**2)*(-2*n + n - 2*n) to the form w*n**2 + k + c*n + m*n**3 and give m. 264 Express (-48*d - 32*d + 133*d)*(-5 + d + 5 + (-3 + 2 - 1)*(-3*d + 3*d - 2*d) - 2*d + 5*d - 2*d + 0 + 0 - d) as u + b*d + f*d**2 and give u. 0 Rearrange 2*w**3 - 11*w**2 - 3 - 423*w - 427*w + 1268*w - 422*w to the form s*w + o + l*w**2 + k*w**3 and give o. -3 Rearrange 4106*n**2 - 8214*n**2 + 4110*n**2 - 2*n**3 + 16 + n**4 to h*n + c*n**2 + a*n**3 + r*n**4 + m and give a. -2 Rearrange -499*i**2 - 22*i**2 + 27*i**2 - 194*i**2 - 427*i**2 to v*i**2 + l + s*i and give v. -1115 Express (-157 + 12 - 62)*(-3 + p + 3)*(p - 3*p + 0*p) in the form l*p + h + f*p**2 and give f. 414 Express 6124*m + 26 - 26 - 5122*m + (-3 + 2 - 1)*(4*m + 0*m - 3*m) as s + r*m and give r. 1000 Rearrange 650*q + 3*q**2 - 3*q**2 - 673*q - q**2 to y + t*q + a*q**2 and give y. 0 Rearrange (3
{ "pile_set_name": "DM Mathematics" }
21812? -c**2 - 31*c + 21952 What is the o'th term of -263, -273, -301, -353, -435, -553? -o**3 - 3*o**2 + 6*o - 265 What is the b'th term of 1059, 1086, 1137, 1212, 1311? 12*b**2 - 9*b + 1056 What is the x'th term of -73750, -73761, -73772, -73783? -11*x - 73739 What is the g'th term of -373, -491, -609? -118*g - 255 What is the g'th term of 438, 1765, 3978, 7077, 11062, 15933, 21690? 443*g**2 - 2*g - 3 What is the r'th term of 336, 227, 120, 15, -88, -189, -288? r**2 - 112*r + 447 What is the k'th term of 59924, 59800, 59674, 59546, 59416, 59284? -k**2 - 121*k + 60046 What is the p'th term of -3649, -3601, -3555, -3511, -3469, -3429, -3391? -p**2 + 51*p - 3699 What is the k'th term of 4353138, 4353137, 4353136? -k + 4353139 What is the d'th term of 2807, 5616, 8421, 11222, 14019, 16812? -2*d**2 + 2815*d - 6 What is the b'th term of 404, 1690, 3854, 6896, 10816? 439*b**2 - 31*b - 4 What is the k'th term of -36676, -73350, -110024, -146698? -36674*k - 2 What is the b'th term of 13, 111, 329, 697, 1245, 2003, 3001, 4269? 5*b**3 + 30*b**2 - 27*b + 5 What is the h'th term of -2255, -2235, -2189, -2105, -1971, -1775, -1505? 2*h**3 + h**2 + 3*h - 2261 What is the r'th term of 138, -48, -552, -1380, -2538? -r**3 - 153*r**2 + 280*r + 12 What is the y'th term of 124, 83, 34, -23? -4*y**2 - 29*y + 157 What is the i'th term of -2477, -5789, -9101, -12413? -3312*i + 835 What is the d'th term of 52490, 52483, 52462, 52421, 52354, 52255, 52118? -d**3 - d**2 + 3*d + 52489 What is the z'th term of 7640, 30693, 69122, 122933, 192132? z**3 + 7682*z**2 - 43 What is the a'th term of -555, -543, -531? 12*a - 567 What is the m'th term of -3363, -3314, -3275, -3252, -3251, -3278? -m**3 + m**2 + 53*m - 3416 What is the z'th term of -1443, -2887, -4331, -5775, -7219, -8663? -1444*z + 1 What is the h'th term of -980, -2011, -3042, -4073? -1031*h + 51 What is the b'th term of -716, -2849, -6398, -11363? -708*b**2 - 9*b + 1 What is the o'th term of -1068, -2089, -3104, -4119, -5140, -6173, -7224, -8299? -o**3 + 9*o**2 - 1041*o - 35 What is the t'th term of 1480, 5977, 13488, 24013? 1507*t**2 - 24*t - 3 What is the r'th term of 1255, 1307, 1357, 1405, 1451? -r**2 + 55*r + 1201 What is the i'th term of -239, -256, -291, -350, -439, -564, -731, -946? -i**3 - 3*i**2 - i - 234 What is the z'th term of 2147, 8287, 18529, 32879, 51343? z**3 + 2045*z**2 - 2*z + 103 What is the h'th term of -1134, -1135, -1136, -1137, -1138, -1139? -h - 1133 What is the y'th term of -389, -1611, -3653, -6521, -10221? -y**3 - 404*y**2 - 3*y + 19 What is the o'th term of -3042, -3027, -3012, -2997, -2982? 15*o - 3057 What is the g'th term of -2745, -5521, -8297? -2776*g + 31 What is the v'th term of 2754, 5219, 7684, 10149, 12614, 15079? 2465*v + 289 What is the g'th term of 208, 445, 736, 1099, 1552, 2113, 2800? 3*g**3 + 9*g**2 + 189*g + 7 What is the s'th term of -12, -1189, -4382, -10599, -20848, -36137? -168*s**3 - s + 157 What is the n'th term of -108, -508, -910, -1314, -1720, -2128, -2538? -n**2 - 397*n + 290 What is the j'th term of -49341, -197381, -444115, -789543, -1233665, -1776481, -2417991? -49347*j**2 + j + 5 What is the w'th term of -28, -160, -496, -1132, -2164, -3688, -5800, -8596? -16*w**3 - 6*w**2 - 2*w - 4 What is the b'th term of 414, 855, 1296, 1737, 2178, 2619? 441*b - 27 What is the a'th term of 185632, 185634, 185636, 185638? 2*a + 185630 What is the c'th term of 351, 191, 27, -141, -313, -489? -2*c**2 - 154*c + 507 What is the y'th term of 1771, 2885, 3999? 1114*y + 657 What is the q'th term of -13138, -26210, -39284, -52360, -65438, -78518, -91600? -q**2 - 13069*q - 68 What is the t'th term of 25, -7, -159, -491, -1063, -1935, -3167? -10*t**3 + 38*t - 3 What is the v'th term of -141230, -282482, -423734, -564986, -706238, -847490? -141252*v + 22 What is the g'th term of 10109, 20220, 30333, 40448, 50565? g**2 + 10108*g What is the o'th term of 125, 549, 1269, 2291, 3621, 5265? o**3 + 142*o**2 - 9*o - 9 What is the s'th term of -63, -100, -183, -312, -487, -708, -975? -23*s**2 + 32*s - 72 What is the x'th term of 275151, 275148, 275145? -3*x + 275154 What is the a'th term of -36430, -72863, -109296, -145729, -182162? -36433*a + 3 What is the z'th term of 2242145, 2242144, 2242143, 2242142, 2242141? -z + 2242146 What is the h'th term of 49301, 49319, 49337, 49355, 49373? 18*h + 49283 What is the d'th term of 104, 203, 294, 377, 452, 519, 578? -4*d**2 + 111*d - 3 What is the p'th term of 539, 524, 509, 500, 503, 524? p**3 - 6*p**2 - 4*p + 548 What is the r'th term of 68879, 275610, 620161, 1102532? 68910*r**2 + r - 32 What is the a'th term of -857, -849, -837, -821, -801? 2*a**2 + 2*a - 861 What is the u'th term of 65101, 130198, 195295, 260392? 65097*u + 4 What is the y'th term of -1657, -6607, -14853, -26395, -41233? -1648*y**2 - 6*y - 3 What is the r'th term of 3032, 6121, 9210, 12299, 15388, 18477? 3089*r - 57 What is the r'th term of 231, 903, 2009, 3537, 5475, 7811? -2*r**3 + 229*r**2 - r + 5 What is the l'th term of -327, -355, -401, -465, -547, -647? -9*l**2 - l - 317 What is the q'th term of 2087, 4611, 7135? 2524*q - 437 What is the c'th term of -10575, -10588, -10601, -10614, -10627? -13*c - 10562 What is the u'th term of 32, 24, 16? -8*u + 40 What is the q'th term of 3017889, 6035776, 9053663, 12071550, 15089437, 18107324? 3017887*q + 2 What is the q'th term of -3702, -5483, -7262, -9039, -10814, -12587? q**2 - 1784*q - 1919 What is the m'th term of -1999, -2009, -2023, -2041, -2063, -2089? -2*m**2 - 4*m - 1993 What is the d'th term of -4979, -4982, -4989, -5000, -5015? -2*d**2 + 3*d - 4980 What is the a'th term of 297663, 297664, 297665, 297666, 297667? a + 297662 What is the c'th term of -29716, -59427, -89138? -29711*c - 5 What is the y'th term of -8139, -16280, -24421, -32562? -8141*y + 2 What is the w'th term of 2238, 8973, 20198, 35913, 56118, 80813? 2245*w**2 - 7 What is the l'th term of 671, 700, 729, 758? 29*l + 642 What is the g'th term of 743, 1457, 2143, 2801, 3431, 4033? -14*g**2 + 756*g + 1 What is the r'th term of 45, 47, 47, 45, 41, 35? -r**2 + 5*r + 41 What is the c'th term of 220047, 220042, 220037, 220032, 220027, 220022? -5*c + 220052 What is the p'th term of 294, 111, -194, -621, -1170? -61*p**2 + 355 What is the s'th term of 856, 1575, 2294, 3013, 3732? 719*s + 137 What is the f'th term of 88, 1045, 2812, 5383, 8752? -f**3 + 411*f**2 - 269*f - 53 What is the l'th term of 2339, 9349, 21041, 37421, 58495, 84269? l**3 + 2335*l**2 - 2*l + 5 What is the m'th term of 783, 1000, 1217? 217*m + 566 What is the h'th term of 21, 24, -1, -54, -135? -14*h**2 + 45*h - 10 What is the l'th term of 9555, 19119, 28685, 38253, 47823? l**2 + 9561*l - 7 What is the a'th term of -6, 23, 56, 93, 134, 179, 228? 2*a**2 + 23*a - 31 What is the y'th term of 276122, 552245, 828368? 276123*y - 1 What is the l'th term of 591719, 591737, 591765, 591809, 591875, 591969? l**3 - l**2 + 14*l + 591705 What is the z'th term of -108, -190, -248, -282? 12*z**2 - 118*z - 2 What is the u'th term of -274, -295, -68, 407, 1130, 2101? 124*u**2 - 393*u - 5 What is the l'th term of 22, 26, 24, 10, -22, -78? -l**3 + 3*l**2 + 2*l + 18 What is the w'th term of 1099, 1333, 1563, 1789? -2*w**2 + 240*w + 861 What is the n'th term of 496, 666, 836, 1006? 170*n + 326 What is the q'th term of -2346, -2367, -2416, -2505, -2646, -2851, -3132, -3501? -2*q**3 - 2*q**2 - q - 2341 What is the b'th term of -279, -1954, -3629, -5304, -6979, -8654? -1675*b + 1396 What is the m'th term of 2848, 12068, 27426, 48916, 76532, 110268, 150118, 196076? -m**3 + 3075*m**2 + 2*m - 228 What is the k'th term of 919994, 919984, 919960, 919916, 919846? -k**3 - k**2 + 919996 What is the q'th term of -8, -122, -410, -944, -1796, -3038? -12*q**3 - 15*q**2 + 15*q + 4 What is the z'th term of -109303, -218609, -327915, -437221, -546527, -655833? -109306*z + 3 What is the p'th term of -630230, -1260461, -1890694, -2520929, -3151166? -p**2 - 630228*p - 1 What is the q'th term of -159, -333, -535, -777, -1071, -1429, -1863, -2385? -2*q**3 - 2*q**2 - 154*q - 1 What is the m'th term of 41, 166, 397, 752, 1249, 1906, 2741, 3772? 3*m**3 + 35*m**2 - m + 4 What is the a'th term of 46651, 93304, 139957? 46653*a - 2 What is the
{ "pile_set_name": "DM Mathematics" }
et w be c - -5 - (6 - 3). Suppose 3*f = -w*f + 72. What is the tens digit of f? 2 Let p = -14 - -16. Let i(n) = -7 - 2*n**2 + 14*n - 2*n**2 - 6 + 3*n**p. What is the units digit of i(12)? 1 What is the units digit of 99 + (1 - 3*(-10)/(-6))? 5 Let w = -2 - 0. What is the tens digit of (-977)/(-13) + w/13? 7 Let q(s) = -25*s - 40. What is the tens digit of q(-5)? 8 Suppose -4*v + 3*q = -10663, -390 = -4*v - 2*q + 10268. What is the units digit of v? 5 Suppose 4*v - 8 + 24 = 5*s, -4*s + 2*v = -14. Suppose 0 = -s*f + 4, -226 = -5*u - 0*u + 4*f. What is the units digit of u? 6 Let n(d) = 3*d - 1. Let k be n(5). Let j = k - -41. What is the tens digit of j? 5 Let j = -96 + 183. Suppose j = f - 9. What is the tens digit of f? 9 Suppose -54 = 3*f + 5*h, 5*f + 4*h = -23 - 54. Let v(s) = s**3 + 12*s**2 - 13*s. Let l be v(f). Suppose -k - 3 + 10 = l. What is the units digit of k? 7 Let c = 4 - 10. Let t be 8/c*(-4 + 1). What is the units digit of 255/11 - t/22? 3 Let m(c) = c**3 - 17*c + 20. Suppose 2*r - 28 = -16. What is the units digit of m(r)? 4 Suppose 30646 = -93*l + 115*l. What is the units digit of l? 3 Suppose -36 = 2*k - k. Let m be k - 0/(-1 + 4). Let j = 53 + m. What is the units digit of j? 7 Let r(v) = -v - 40. Let d be r(0). What is the units digit of (6/(-4))/(2/d)? 0 Let g(k) = k**2 + 3*k + 12. Let z be g(-7). Let r = z - -100. What is the units digit of r? 0 Let c = 106 - 96. What is the units digit of 28/c*(5 + 0)? 4 Suppose 0*m + 4*m - 912 = 0. Suppose -4*p = -0*p - m. What is the tens digit of p? 5 Let u(p) = -p**2 + p. Let q(h) = 4*h**2 + 18*h - 14. Let m(x) = -q(x) - 3*u(x). Let w be m(-15). Let o = w + -31. What is the tens digit of o? 7 Let p be (-2)/10 + 172/10. Suppose -2*w - 16 = -j, 4*w + 21 = 3*j - 7. Let m = w + p. What is the units digit of m? 7 Let v(w) = w**2 - 4*w + 85. What is the hundreds digit of v(-18)? 4 Let g = 17 + -12. Suppose -2 + 112 = g*o. Suppose -17 - o = -3*i. What is the tens digit of i? 1 Suppose -8*g + 11*g = 0. Let w be (-2 + g)*(-6)/4. Suppose -134 = -5*r + w*c + 3, -3*c + 143 = 5*r. What is the tens digit of r? 2 Let n be -4*((-57)/6 + 3/6). Let b = -12 + 28. Let h = n - b. What is the tens digit of h? 2 Suppose 4*y = -3*i + 2000, -y + 2*i = -0*y - 500. What is the hundreds digit of y? 5 Suppose -3*a - a = 220. Let p = -263 + 346. Let b = p + a. What is the tens digit of b? 2 Let v = 9349 + -3964. What is the hundreds digit of v? 3 Let g be (-725)/75 - 4/3. What is the tens digit of 2/g - (5 + 3704/(-44))? 7 What is the tens digit of (2492/42)/(5/75)? 9 Let f be 416/(-5) - 10/(-50). Let i = f - -138. What is the units digit of i? 5 Suppose 4*q - 28 = 2*q. Let y(u) be the second derivative of 5*u**3/6 - 7*u**2 - 6*u. What is the tens digit of y(q)? 5 Let h = 2836 - 737. What is the units digit of h? 9 Suppose -502 = 5*v - 6692. Suppose 3*q - 758 = 2*p, 5*q + 3*p = -0*q + v. What is the hundreds digit of q? 2 Suppose -23*c + 21*c + 3074 = 0. What is the tens digit of c? 3 Suppose -3*a + 1330 + 881 = 0. What is the hundreds digit of a? 7 Suppose -3*i = 4*i - 7497. What is the units digit of i? 1 Suppose -555*f + 556*f = 159. What is the units digit of f? 9 Suppose 0 = 3*c - 7*c + 728. What is the hundreds digit of c? 1 Suppose -3 = -3*n - 2*j, 4*n - 3*n + 12 = -5*j. Let v(t) = -t - 4. Let i be v(-3). Let b = i + n. What is the units digit of b? 2 Suppose -2*m + 2*p + 1645 = 299, 0 = 2*m - 3*p - 1346. What is the units digit of m? 3 Let x = -12 + 11. Let y = x - -3. Let q = y + 8. What is the tens digit of q? 1 Suppose 0 = 3*p + 7 + 11. What is the units digit of (-4)/p*(6 - (-5 - 7))? 2 Let r(j) = -2951*j - 68. What is the thousands digit of r(-1)? 2 Let f(v) = 5*v - 6. Let w(s) = -6*s + 5. Let b(y) = 4*f(y) + 3*w(y). Suppose -9 = -5*o + 21. What is the units digit of b(o)? 3 Let n = 303 + -145. What is the hundreds digit of n? 1 Suppose w - 8 + 1 = 0. Let r = -2 + w. Suppose 57 = 3*i - i + u, -63 = -2*i + r*u. What is the units digit of i? 9 Let j(a) = 4*a**2 + 2*a - 7. Let k(c) = c**3 - 2*c**2 - 9*c - 1. Let l be k(4). What is the tens digit of j(l)? 8 Let x(r) = r**2 - 3*r + 10. Let y be x(-4). Let g = y + -33. Suppose g*u - 221 - 70 = -2*p, -2*u + 114 = 2*p. What is the tens digit of u? 5 Let b(r) = 21*r - 52 + r - 5*r. What is the tens digit of b(10)? 1 Suppose f - 164 = -4*y + 120, -5*y + 3*f = -355. What is the units digit of y? 1 Let d = 114 + -112. What is the units digit of 10458/45 + d/(-5)? 2 Let x = 12 - 8. Suppose 0 = -5*s - 3*v + 117, x*v = s - 2 - 3. What is the units digit of s? 1 Let o(n) = n**2 + 9*n + 12. Let y(x) = -3*x**2 - 27*x - 35. Let p(q) = -11*o(q) - 4*y(q). Let d be p(-8). What is the tens digit of 20 + 7 + d + -3? 2 Let y = 68 + 50. Let n = y - 45. What is the units digit of n? 3 Let u be 2/((-2)/(-1)) - 0. Let t(f) be the third derivative of 2*f**5/5 + f**4/24 - f**3/6 - 12*f**2. What is the units digit of t(u)? 4 Let u = -1 + 3. Let n = 0 + u. Suppose n*q + 3*i - 37 = 0, -3*i + 26 = q - 0*i. What is the units digit of q? 1 Suppose -7 + 19 = 4*s. Suppose 4*v + 5 = -4*j - s, 0 = -2*j + v + 11. Suppose j*i - 84 = -i. What is the units digit of i? 1 Suppose 0 = 24*a - 26*a + 8. Suppose 2*o = -2*r + 5*o + 77, 0 = -a*r - o + 147. What is the units digit of r? 7 Suppose 3*o + 5*r = 781, -o + 2*r = 4*r - 260. What is the units digit of o/4 + 6/(-12)? 5 Let a = 107 - -1464. What is the hundreds digit of a? 5 Let s = 1072 + -9. What is the hundreds digit of s? 0 Suppose -9*y = -5*y - 152. Let v = y - 2. Suppose v = t + 3. What is the tens digit of t? 3 Let u = 20 + -21. Let w be (1 + u)*2/6. Suppose 2*s - 4*o = 68, w = -5*o - 11 - 4. What is the units digit of s? 8 Suppose -5*r = -6*r + 116. Let s be r - 4/8*2. Suppose -s = -4*v + 5*i, -2*v + 2*i + 39 = -17. What is the units digit of v? 5 Suppose -489 = 2*c - 2595. What is the tens digit of c? 5 Let o(t) = -t**2 - 7*t + 768. What is the units digit of o(0)? 8 Let v(j) = -j - 14. Let m(r) = -3. Suppose 2*b - 52 = 2*c, -7 - 5 = -3*b. Let u(t) = c*m(t) + 4*v(t). What is the units digit of u(-7)? 8 Suppose 5696 = 3*m - 5*w, 0 = -2*m + 2*w + 2995 + 801. What is the tens digit of m? 9 Let l(p) = -8*p**3 + 3*p**2 + 18*p - 10. What is the units digit of l(-5)? 5 Let i = -793 + -275. What is the tens digit of i/(-14) + 12/(-42)? 7 Suppose 2*v - 16 = -2*v, 4*h + 3*v + 340 = 0. Let b be h/6*9/(-6). Let k = b - 10. What is the tens digit of k? 1 Let v(x) = -597*x + 66. What is the units digit of v(-2)? 0 Let l = 3809 + -1047. What is the thousands digit of l? 2 Suppose -2*y = -y + 1, -4*k + 529 = -y. What is the units digit of k? 2 Suppose 4*n = -2*l + 24, 5*n - 3*n = l + 8. Let f(m) = m**2 + m + 2. Let k be f(-3). What is the units digit of 64/2 - (k - n)? 9 Suppose 0 = 5*h + z - 24, 3*h + 2*z = h + 16. Suppose 2*p - h = 2*k + 8, 18 = 4*p - k. Suppose p*u = -3*u + 273. What is the tens digit of u? 3 Suppose 3*b + b - 2*t - 84 = 0, -3*b + 3*t + 60 = 0. Let l be (-2)/(3 + b/(-6)). Suppose 4*j = m - 8, 0*m - l*j - 11 = -m. What is the tens digit of m? 2 What is the units digit of (-8)/((-186)/(-96) + -2)? 8 Let y be 3 + 735/(1 + 2). Suppose -o + y = 106. What is the tens digit of o? 4 Let g = -547 + 1098. Let h = 391 - g. What is the tens digit of ((-7)/(-14))/((-2)/h)? 4 Suppose -3590 = -8*y + 1506. What is the units digit of y? 7 Suppose 2*j - 2*u - 738 = 0, -7*j + 5*j - u + 753 = 0. What is the tens digit of j? 7 Suppose 0 = 2*n - 4, n = -z + 3*n. Suppose -2*l + 9 = -2*q + 1, -z*l - 2*q = -4. Suppose -l*c - 3*c + 156 = 4*j, -j + 30 = -c. What is the units digit of j? 4 Suppose 0 = -30*c + 35*c - 5*y - 21835, 4*c - y - 17480 = 0. What is the hundreds digit of c? 3 Let d = -327 - -2156. What is the hundreds digit of d? 8 What is the units digit of 5/(-35) - (-2 + 6345/(-21))? 4 Let w(p) = 15 - 6*p + 2*p**2 - 9 + 4 - 2*p. What is the tens digit of w(4)? 1 Suppose -2*d = -d + 2*y + 2, 2*y = -3*d + 6. Suppose 0 = -a + 4*l + 321, d*l = a - 6*a + 1605. What is the hundreds digit of a? 3 Suppose -2*u = u + 18. Let i be 3/9 + (-40)/u. Let s(j) = -j**2 + 9*j - 3. What is the units digit of s(i)? 1 Let a be 2/(-5)*-5*5. Let w be (a - 6)/((-2)/(-1)). Suppose -w*d + 135 = d. What is the units digit of d? 5 Let l be ((-14)/21)/((-2)/39). Let o = -9
{ "pile_set_name": "DM Mathematics" }
b. Solve -5 = -a*s - 4*l, -5*s + 2*l + 2*l = -5 for s. 1 Let u = -103 - -127. Solve -3*w - 3*x + u = 2*w, -4*w = -3*x - 3 for w. 3 Let o(v) be the first derivative of -v**4/4 - 4*v**3 + 2*v + 35. Let u be o(-12). Solve h = -3*t - 3*h + 13, -13 = -5*t + u*h for t. 3 Suppose -40 = -5*s + 2*a, -s - 4*a + 6 + 2 = 0. Suppose -4*h + p + 8 = 0, -p + s = 4*h - 0*p. Solve -2*q - h*q + 2*n = 0, 4*q + 4*n = 12 for q. 1 Suppose 6*c - 26*c + 160 = 0. Solve n = -3*s - c, -3*n - 4*s - 18 = -s for n. -5 Suppose -5*g - 4*m + 232 = -0*m, -3*g - 5*m + 134 = 0. Suppose 0*s + 3*s = g. Let y = 27 - s. Solve 2*c - 23 = -5*r, r + r - y = c for c. -1 Let t = -143 + 143. Solve -d = -w + 8, -2*w + t*d = -d - 11 for w. 3 Suppose -k + 0*k = -4. Suppose k*v + 4*f = 12, 4*f - f - 5 = -v. Solve -2*y - v = -5*t + 4, 2*t + 6 = -2*y for t. 0 Suppose -9 = -6*l + 3. Solve 0 = -r - l*h - 0 + 10, r = -4*h + 20 for r. 0 Let h be (11/(-2))/(220/(-80)). Solve 0 = -3*f - n + h*n + 2, 2*f + 4 = -2*n for f. 0 Let t be 0 - 3 - (-5)/1. Solve -2*l - t = -4*k + 14, k = -5*l + 4 for l. 0 Suppose -4*d - 4*v = -2*v - 8, -4*d - 3*v + 12 = 0. Suppose -2*m + 48 - 2 = d. Solve -5*x = -2*g + 4*g + m, 4*g - 5*x = -1 for g. -4 Suppose 0 = -2*c + 15 - 3. Let g = -269 + 274. Let j be (-1)/4 - (-36)/16. Solve -j*b - c = s, 5*s = -g*b - 17 - 3 for b. -2 Suppose 3*b - 3*u - 9 = -3, 3*u = -b + 10. Let s(l) = -2*l. Let m be s(4). Let j be (12 + -16)*10/m. Solve -j*t = -b*o, -3*o = 2*o + 25 for t. -4 Let j(t) be the second derivative of -t**5/10 - t**4/6 + t**3/6 - t**2 + 32*t. Let o be j(-2). Solve w - 3 = -2*n + n, 2*n - o*w = 0 for n. 2 Suppose 0 = -6*j + 400 - 292. Suppose 8*s - 3*s = 10. Solve 0 = 3*g - 3*z - 0*z, 4*z = -s*g + j for g. 3 Let p(u) = -u**2 + 16*u + 143. Let k be p(-6). Solve 3*q - k = 2*j, -q + 0*q + 8 = -5*j for j. -1 Let l(j) = j**3 + 19*j**2 + 33*j - 17. Let x be l(-17). Solve x*i + 5*i - 19 = 4*b, 2*i = 3*b + 9 for i. 3 Suppose -5*i + 5*w - 440 = 0, 3*w = 5*i + 218 + 212. Let z = -82 - i. Solve 0 = -5*m + a + 16, 5*m - 4*a - z - 3 = 0 for m. 4 Suppose -2*r + 268 = 2*r. Let g = r - -66. Let m be g/7*(0 + 1). Solve m = 5*l - 2*f, -f - 1 = 2*l - 14 for l. 5 Suppose -27*o + 166 + 293 = 0. Solve -v + 5*v = 5*i - 11, -4*v - i = o for v. -4 Let i = 7 + 12. Suppose -5*w = -i - 1. Suppose 4*c + 49 = 5*z, 0*z = -z - 5*c + w. Solve b + 13 = 2*y, 5*b + 3*y + z = -y for b. -5 Let j be (48/(-80) - 12/(-20)) + 3/1. Suppose f = -2 + 4, f = 3*b - 13. Solve -7 = -3*g - 5*u, -b*g = -j*g + u for g. -1 Suppose -15*a = -23*a + 32. Solve a*b - 3 = -2*y + 7, -b + 4 = -y for b. 3 Suppose -2*k = k. Suppose -40*n - 5*n + 90 = 0. Solve k = 2*p - n*v - v + 1, p + 5*v = 6 for p. 1 Let b(s) = s**3 - s**2 + s. Let o(a) = -a**2 + 3. Let y(h) = b(h) - o(h). Let g be y(0). Let f = g + 7. Solve l - 2 + 1 = -5*n, 4*l + f*n = -12 for l. -4 Let z(c) = c - 10. Let b = -2 + 6. Suppose -31 - 29 = -b*t. Let o be z(t). Solve o*f - f - 12 = 4*u, u + 15 = -5*f for u. -5 Let n be (4 + -20 + 17)*2. Let o be (9/6)/((-2)/(-4)). Suppose -o*f = -8*f + 15. Solve -2*l + 3 = 3*z, 0 = f*l - n*l - 4*z - 7 for l. 3 Let w(l) = 2*l**3 + l**2 + 2*l - 2. Let v(n) = n**3 - n - 1. Let y(t) = 4*v(t) - w(t). Let z be y(3). Solve 4*p + f + 10 = 0, 2*p - 5*f = -3*p - z for p. -3 Let f be (5 + -4)/((-2)/(-50)). Let y = 17 - f. Let l be (y/5 - -1)*-5. Solve 4*m + l + 1 = 0, 5*x - 4*m = 19 for x. 3 Let q be -9*(196/(-60) - 10/25 - -3). Suppose -4*n = -43 + 7. Suppose 3*f - n - 3 = 0. Solve -3*c - 4*y + q = 0, -f*y + 3 = 4*c - 5 for c. 2 Let d(t) = 3*t**2 - 6*t - 3. Let f be d(3). Let s be (-4 + 54/12)*f. Solve -s = 2*i - 6*g + 3*g, -2*g = 2 for i. -3 Suppose v + 3*v = 2*i - 18, 4*i + 3 = -5*v. Solve -5*u + i*u = -3*x + 20, 0 = 4*x - 16 for u. -4 Let j(x) = x**3 + 7*x**2 + 2*x + 16. Let h(d) = d**2 - 4*d - 4. Let a be h(3). Let l be j(a). Solve o = l*p + 7, p + 3*p - o = -13 for p. -3 Let q = -203 + 363. Let n be (-1)/3 + q/30. Solve -p + n*p + 14 = b, -p - 2*b = -1 for p. -3 Suppose 20 = 8*c - 3*c. Let k be 10*(14/c - 3). Let s(t) = 2*t**3 - 2*t + 3. Let p be s(2). Solve 50 = 5*d - k*n, 0 = 3*n + p - 0 for d. 5 Let q = -2353 - -2383. Solve -2*l + 4*l = 2*s - 2, 5*l = -2*s + q for s. 5 Suppose 5 = 8*f + 4*z - 7, 0 = -2*f + 3*z + 15. Solve f*x = -l + 5, 2*l + 3*x - 6*x = 1 for l. 2 Suppose -3*v + 19*v = 80. Solve v = 3*o + o - a, 1 = 5*o + 4*a for o. 1 Suppose -8*t = 6*t - 294. Let o be t - 7/((-14)/(-6)). Let s be -1*0/(-2 - -1). Solve w + 3*d + 12 = s, 3*d - 6 + o = -4*w for w. 0 Suppose 19*b = -17 + 55. Solve -2*r - b*u + 8 = u, -r = u - 3 for r. 1 Suppose 3*p - 27 = -3*b, 30 = 2*p + 5*b - 0. Suppose t - r = -2*r + p, 3*t - 2*r = 0. Let s = 0 + 4. Solve -4*h + 7 = j, 2*h + s = t*j - 0 for j. 3 Let n = 1457 + -1445. Solve 0 = s - 3*s + 4, n = 3*h + 3*s for h. 2 Let s = 455 + -439. Let p be (-14)/(1 + 0) - -2. Let t = p + s. Solve 3*y = t*z + 23, -z - 5 = -3*y + 12 for y. 5 Suppose -17 = -v - 11. Suppose 0 = b + v - 11. Solve b*p = 4*n - 23 + 2, -4*n - 2*p + 14 = 0 for n. 4 Let h be 32/48 + (15/(-9) - -1). Solve 2*y - 4*p - 16 = 5*y, h = 2*p + 8 for y. 0 Let d be 6/(-21) - (-88)/14. Let q be 2 - 0/(d/(-3)). Suppose 0 = 3*u + 4*h - 37, -u = -4*h - 9 + 18. Solve 0*x - u = 2*p + x, 0 = -q*p - 2*x - 10 for p. -2 Let k be (-4)/(-14) + (-1898)/(-511). Solve -k*n = 5*s + 19 - 5, 2*s = -5*n - 9 for s. -2 Let l(n) = -n**2 - 3*n + 2. Let q be l(-3). Suppose -3*r = -12, -w + r = -9 + 4. Solve 4*t = -m + w, 0 = t + q*t - 5*m - 24 for t. 3 Suppose -3*c + l = 2*c - 1595, 1595 = 5*c + 2*l. Let t be ((-1)/1)/((-11)/c). Solve -a = 5*d - 10*d - t, -3*a - 5*d - 13 = 0 for a. 4 Let k = -507 + 520. Solve 5*p - k = -d - 4, -5*p = 3*d - 17 for d. 4 Suppose 5*h - 3*p - 385 = 2*p, -3*p = 3. Suppose 28 = 4*y + h. Let n = 16 + y. Solve -3*f + 2*o - 1 = 0, -4*o = -n*f + 3*f + 13 for f. -3 Suppose 0 = 2*w - 19 + 87. Let u = w + 37. Solve -2*v = -0*v + 2, 0 = -u*n + v - 2 for n. -1 Let u(a) = -2*a - 4. Let t be u(-2). Let l(k) = 2*k - 1. Let i be l(t). Let p be (11 - 10)/(i/(-5)). Solve p*n - 2*d = -30, 3*d - 29 = 5*n + 6 for n. -4 Let d(u) = u**3 - 8*u**2 - 9*u - 3. Let v be d(9). Let x be (v + 2)*-1*0. Let p = 52 - 50. Solve -n + 5 = -x*n, j + n = p for j. -3 Let y = 45 - 37. Let i(m) = 6*m - 38. Let r be i(y). Solve 3*x - 23 = 4*v, -3*x + r = -x for v. -2 Suppose 0 = -3*g - 19 - 65. Let f = 32 + g. Solve 5*w + 6 = -3*h, -1 = 3*w + f*h - 4 for w. -3 Let y(u) = -2*u**3 + 4*u + 1 + 2*u**3 - 5*u**2 + u**3 + 2. Let d be y(4). Solve 3*q - d*c - 33 = -12, -c - 4 = 0 for q. 3 Let q = 341 - 338. Solve 3*t = 5*s - 24, 0 = -4*s + q*t + 14 + 7 for s. 3 Let g(u) = -u**2 + 7. Let a be g(0). Suppose x = -4 + a. Suppose 12 = x*w - w. Solve w = 2*r, 3*f = -5*r + 11 + 13 for f. 3 Suppose -4*n - 2*a = -6*a + 4, 0 = n - 5*a + 17. Solve -4*z + 4*l + 16 = 0, n*z - 3*l + 2*l - 4 = 0 for z. 0 Let g be (1 - 5/(-10))*62. Let a = g + -89. Solve -3*k - 4 = k - q, -a*q + 16 = -k for k. 0 Let m = 17 - 12. Let x(u) = u**3 - 7*u**2 + 54*u - 643. Let a be x(9). Solve -s + m = -a*k + 17, s = -k for s. -2 Let l = 22 - 16. Let w = -33 + 35. Suppose q + w*q = l. Solve n = -4*s - 0 + 3, -5*n = 3*s + q for n. -1 Let z be ((-3)/(-9))/((-3)/(-27)). Let c be 48/(-18)*(18/(-8))/z. Solve 3*f = -5*m + m - 5, 6 = -c*f for m. 1 Let n(v) = 8*v**2 + 24*v + 4. Let s be n(-3). Solve 2*b - 2 + 10 = -2*k, -4*k = -s*b - 16 for b. -4 Let k(h) = 10*h + 1. Let s be k(-1). Let a be (11 + s)*(-4)/(-2). Solve -5*f - t = -22, a*f = -3*t + 4*t + 14 for f. 4 Let h = -476 - -481. Solve d + 4*x = 2, 0 = -d - x - 6 + h for d. -2 Let h be -3 + 2 + -3 - 3. Let v be (1 + h)*10/(-15). Let t = -2 + 5. Solve 0*z = -t*c + 5*z - 29, v*z = 3*c + 25 for c. -3 Let v = -16 + 16. Suppose 0*c + 3*c - 6 = v. Let n = 7 - c. Solve n*d = 4*d + 5*s - 12, 3*d = s - 8 for d. -2 Suppose 2*p + 2*p - 4*v - 8 = 0, -13 = -2*p - v. Solve -4*t - 9 = p*l - 7*t, -15 = -l - 5*t for l. 0 Let m(l) = -3*l**2 + 188*l + 65. Let f be m(63). Solve -2*k + 2 = -f*g, 4*g + 2 = 5*k + 2*g for k. 0 Suppose -8 - 4 = -2*k. Suppose 0 = 2*f - k*f + 8. Suppose -3 = -f*h + 4*l + 35, -3*h = -2*l - 49. Solve -3*j = h, -3*u = 2*j - 3*j - 14 for u. 3 Let t be (12/6)/(-8 + 9). Solve -t*w + 2 + 14 = -4*s, -5*s = -3*w + 21 for s. -3 Suppose -1 - 5 = -3*f. Suppose 0 = 8*i - 23 - 9. Suppose -11 = i*a
{ "pile_set_name": "DM Mathematics" }
-12.9 - -12. Let n = 0.1 - k. Let z = -127/220 + -1/44. Which is the third biggest value? (a) 0.1 (b) n (c) z c Let r = -26 - -68. Let m = 41.5 - r. What is the smallest value in m, -0.4, 3/5, 4? m Let o(u) = u**3 - 4*u**2 + 3*u + 4. Let k be o(3). Which is the fourth smallest value? (a) 3 (b) 1/4 (c) -1/5 (d) k d Let v = -129/238 + 5/119. What is the fourth biggest value in -0.4, v, 2/9, 1/5? v Suppose -28*z - 35 = -595. Suppose -5*v - 15 - 35 = 0. Let o be (-6)/8 - v/z. Which is the biggest value? (a) 6/7 (b) 4 (c) o b Suppose -201 = 5*i - 196. Suppose 0 = -l - 2*q + 2, 0 = 2*l + 2*q - 0*q. Let x = -0.3 + 0.2. Which is the third smallest value? (a) x (b) i (c) l a Let w = -26 + 31. Which is the second smallest value? (a) -1 (b) 2/17 (c) w (d) 2 b Let d = 18 + -18.04. Let j = 0.06 - d. What is the fourth biggest value in -1.5, j, 2/7, 1/6? -1.5 Let t = 2153 + -2152.9. Which is the smallest value? (a) t (b) 2.3 (c) -14 c Let j = -961 + 961. What is the second smallest value in -0.5, -46, j, -2/7? -0.5 Let y = 53.6 + -31.6. What is the second biggest value in -1, -4, y, -0.1? -0.1 Let y = -2.2 + 0.2. Let z = 1 + y. Which is the third smallest value? (a) 3/4 (b) -0.2 (c) z a Let l be -481*(-26)/8619 - (-8)/(-6). What is the biggest value in 0.3, -5, l, 0.02? 0.3 Let z = 461 + -466. What is the third biggest value in 0.2, z, 1/4? z Let p = 3/52 + -7/52. Which is the smallest value? (a) p (b) 2 (c) -2/7 c Let s = 1416 - 1426. Which is the third smallest value? (a) -0.45 (b) s (c) -3/8 c Let z = -38 + 29. Let c = -7 - z. What is the second biggest value in c, 0.1, -2/5? 0.1 Let d = 0.559 + -0.159. Let r = 0.074 - 2.074. What is the biggest value in 5, r, -4, d? 5 Let x = -28 + 26.9. Let p = 1.2 + x. Which is the second biggest value? (a) -0.27 (b) p (c) 1/6 b Let b be 2/(-8) + 3/(84/11). Let l be (-2 + 37/20)/((-30)/(-75)). What is the second smallest value in b, l, -1/4? -1/4 Let m(l) = l**3 + l**2 - l + 2. Let d be m(0). Let i = -290927/1455 + -131/291. Let t = -201 - i. What is the second biggest value in d, 2/19, t? 2/19 Let h(n) = -n**2 - 10*n - 12. Let z = 18 - 27. Let o be h(z). Which is the biggest value? (a) o (b) 2/3 (c) -3/7 b Let t be ((-2)/(-18))/(10/20). Suppose 0 = n + 3*n + 20, -5*n = q + 24. Which is the third smallest value? (a) -2/15 (b) q (c) t b Let f = -0.3 + 0.4. Let o = -92/75 - -14/25. What is the third smallest value in -3, o, f? f Let r(w) = -w**3 - 5*w**2 - 2*w - 8. Let y be r(-5). Which is the third smallest value? (a) 2/3 (b) -94/9 (c) y c Let r = -11.1 + -4.4. Let w = r - -1.5. Let f = w + 18. What is the biggest value in -5, -4, f? f Let j = -524 + 529. What is the biggest value in 4, -1/8, j? j Suppose 2*y - 18 = -2*c, -c = c - 4*y + 12. Let a(u) = -u + 2*u + 0*u - 2. Let t be a(1). What is the second smallest value in 0.2, c, t? 0.2 Let y = 21 - -1. Let g = y + -21. Which is the third smallest value? (a) g (b) -13 (c) -5 a Suppose -i - 13 = 3*n, 14 = -2*i + 4*n - 6*n. Let k = i + -8. Let z = 180 + -175. Which is the third biggest value? (a) z (b) k (c) -5 b Let l = -3.2 - 1.8. What is the third smallest value in 0.4, l, -3? 0.4 Let t be (-1)/4 - 10/(-40). Suppose t*i = i - 28. Let n = i + -26. What is the second smallest value in n, 0.4, 2/7? 0.4 Let u = 1463/15 - 292/3. Which is the third biggest value? (a) -4 (b) u (c) 20 (d) 4/7 b Let w = -8 + 13. Let d = -199/314 + 20279/61230. Let y = d - 2/65. Which is the second biggest value? (a) w (b) 0 (c) y b Let y be (-12)/(-66) + 0 - (-1)/55. Which is the third smallest value? (a) 0.5 (b) 1 (c) 2/15 (d) y a Let t = -16 - -7. Let v = 9.3 + t. Which is the third smallest value? (a) v (b) 0 (c) 3 (d) 2/7 a Let b = -226 + 328. Let o = b + -102.5. What is the second smallest value in 15, -5, o? o Suppose 2*g = 3*r - 18, -5*g = -3*r + r + 23. What is the second smallest value in 0.5, 0.03, 0.28, r? 0.28 Let h = -3/80 + 33/80. Let w(j) = j**2 - 16*j + 57. Let d be w(5). Which is the second smallest value? (a) h (b) -5/4 (c) d a Let n = -2.11 - -2.13. Which is the biggest value? (a) 0.3 (b) 5 (c) n (d) -8 b Let i = -0.2 + 0.1. Let l = i - 0.1. Let x = -2.11 + -2.89. Which is the second biggest value? (a) x (b) l (c) 0.1 b Let g = -13 + 8. Let x(o) = o**2 - 3*o + 1. Let h be x(-7). Let q = h - 75. Which is the third smallest value? (a) 0.3 (b) g (c) q a Let h = -0.444 - -0.744. Which is the third smallest value? (a) -0.7 (b) h (c) 0.03 b Let x = 4.433 + -4.4. Let n = x + -0.533. Which is the smallest value? (a) n (b) -5 (c) -0.1 (d) -1/4 b Let z = -4.093 + 0.093. Let h = 2963/21 - 141. Which is the smallest value? (a) 8 (b) z (c) h b Let m = -31 - -30.5. Suppose 5*d = 6*d. Which is the third smallest value? (a) 4 (b) m (c) d a Let d = -6.57 + 5.9. Let z = d + 0.59. What is the second biggest value in -0.3, z, 1/2? z Suppose -12*r + 4*g - 6 = -7*r, 2 = 3*r - g. Which is the second biggest value? (a) 3/5 (b) -2.3 (c) r (d) 2/9 a Let h = 26.2 - -3.8. What is the second biggest value in h, -1, 0.4? 0.4 Let f = -0.3 + 0.3. Let y = f + -3. Let i = -256 - -257. Which is the third smallest value? (a) i (b) -0.4 (c) y a Let q = 146/45 - 113824/35055. Let w = q - 1540/7011. Which is the smallest value? (a) -4 (b) 0.1 (c) w a Let o = 311 + -315. Which is the third biggest value? (a) -2 (b) o (c) -3/8 (d) 3 a Suppose 0 = l - k - 7, -2*l + l = k - 1. Let v = 96.1 - 95.7. Let y = -1.43 - -0.43. What is the smallest value in v, l, y? y Let p(l) = -l**3 - 4*l**2 - 4*l - 2. Let w be p(-2). Let k = -0.3 + 0.5. Let d be (10 - -2 - 9) + -3. Which is the second smallest value? (a) w (b) d (c) k b Let z = -25.89 + 26. Let k = z - 0.11. What is the second smallest value in 0.04, -5/2, k? k Let r = -3 + -2. Let z = -0.064 - -0.102. Let v = z - 0.138. Which is the second smallest value? (a) v (b) 3 (c) r a Let a = 0.39 - 19.39. Let c = a + 34. Let o = 10 - c. What is the third biggest value in 3, -0.5, o? o Let n be -5 - -6 - (10 + 3). Let f = n + 17. What is the second biggest value in 6, f, 4, 3? f Let t = 860 + -860.16. What is the third smallest value in t, 44, -0.4? 44 Let i = -2.43 + 2.03. Which is the smallest value? (a) -3 (b) 3/7 (c) -7/5 (d) i a Let z be 1*13/15 + -1. Let l = 1.5 - 1.32. Let d = -0.32 - l. Which is the smallest value? (a) d (b) z (c) -4 c Let x = -1.3 - -6.3. Let f be ((-22)/(-6))/((-230)/(-45) - 5). Suppose 3*l - l - f = 3*d, 27 = -4*d - 3*l. What is the second biggest value in x, d, 0? 0 Let x = -5 + -13. Let f = -17.8 - x. What is the second biggest value in 0, -1, f, -1/4? 0 Let d be 7 + 1 - (-1 - -4). Let n = -3.47 + 0.47. What is the biggest value in d, 3/8, n? d Let i = 664.3 - 664. Which is the third biggest value? (a) -5 (b) i (c) -2/5 (d) -3 d Let d = 0.23 + -1.43. Let x = 5.2 + d. What is the second smallest value in 2, x, 0.3? 2 Let c = 4.2 + 23.8. Let p = 24 - c. What is the third biggest value in -0.6, p, 1/8? p Let n = 3.4 + 1.1. Let q = 2.6 - n. Let r = 2 + q. What is the second biggest value in r, 1/4, 2? 1/4 Let h = 0.78 - 2.38. Let x = 1.1 + h. What is the biggest value in x, 3/4, -0.2? 3/4 Let s = 80/51 - 38/17. Let m = -0.1 + 0. Which is the smallest value? (a) m (b) 2 (c) 5 (d) s d Let o = -0.0094 - -0.0094. What is the second biggest value in -2/3, o, 4/3, 1/11? 1/11 Let j = 4 + -6. Let l = -725/3222 - -1/358. Which is the second smallest value? (a) j (b) 0.03 (c) l (d) 5 c Let u(y) = -11*y - 49. Let t(k) = -5*k - 25. Let i(w) = 9*t(w) - 4*u(w). Let r be i(-24). Which is the biggest value? (a) r (b) -1/2 (c) 0 (d) -3/5 c Let t be 20/(-12) - 28/42*-3. Suppose 0*r + r = -5. Which is the second biggest value? (a) 2/5 (b) r (c) 3 (d) t a Suppose 0 = 7*s - 2*s + 70. Let p be -3 + (0 + (-66)/s - 2). What is the second smallest value in p, -4, -2/11? p Let g = -107.7 - -108. What is the third smallest value in -2, -0.2, g, 0.5? g Let q = -402 - -401.978. What is the second smallest value in q, 0, -4? q Let h = -5 - -7. Let y = -1 + 0.7. Let x = -35 + 35. What is the second smallest value in x, y, h? x Let z be 8 + 3/(108/(-315)). Which is the smallest value? (a) 0.2 (b) 1 (c) z (d) -0.23 c Let z = -147.1 + 147. Which
{ "pile_set_name": "DM Mathematics" }
. Calculate the least common multiple of o(-1) and 6. 30 Let c = -3095/2 + 1589. Let l = -39213/3608 - 3/451. Calculate the common denominator of c and l. 8 Let l(s) = s**2 + 12*s + 31. Let i(b) = 21*b**3 - 2*b + 1. Calculate the smallest common multiple of l(-9) and i(1). 20 Suppose -5*y = 11*y + 880. Let g be (-4)/6 + (-466)/12. Let s = g - y. Find the common denominator of s and -4/11. 22 Let s = -150 - -204. Calculate the smallest common multiple of s and 12. 108 Suppose 126 = 4*i - 14. Suppose -4*h - 2*b + b + i = 0, -4*b - 30 = -h. What is the least common multiple of h and 18? 90 Suppose 15*v + 12 = t + 14*v, 46 = 4*t - 3*v. What is the least common multiple of 32 and t? 160 Suppose -c - 3*c + 8 = 0. What is the least common multiple of (-2)/(-3)*14/((-42)/(-45)) and c? 10 Suppose 538 = -3*b + 3292. Let s = b - 31207/34. What is the common denominator of s and 83/2? 34 Let s = 248103/65072 - 1/4067. Let c = -19888 - -357881/18. Find the common denominator of s and c. 144 Suppose -3*f = -4*w + 117, -w + 6*w + 125 = -4*f. Let h = 44 + f. Calculate the smallest common multiple of h and 27. 27 Let u(z) = -2*z + 11. Let f be u(6). Calculate the common denominator of 17/(-6)*(-5)/15 and (61/3)/(4*f/(-3)). 36 Suppose -3*v + 75 = 3*x, v + 2*v + 4*x - 78 = 0. Let h = 481 - 421. Calculate the least common multiple of v and h. 660 Let x = 92 + -91. Let w be -1*15 + (-3 - -2). Calculate the lowest common multiple of 22 and -2 + 3 - (x + w). 176 Calculate the common denominator of -20/11 and (-198)/(-72) - 3/(-24). 88 Let r(y) = 3*y**2 - 24*y - 13. What is the lowest common multiple of r(9) and 108? 756 Let h = 0 - -3. Suppose 0 = -2*v + h*v - 11. Calculate the least common multiple of v and 8. 88 Let q = -28727/54 + 532. Let j = -10/27 - q. What is the common denominator of j and 107/(-6) - (-2)/2 - -5? 18 Let r = -17695 + 10377. Let v = -58467/8 - r. Calculate the common denominator of v and 872/88 + 12/(-2). 88 Let s be (3/(-1))/6 + 10/4. Suppose -5*t = -4*l - s, 0 = 2*t - 2 - 2. Suppose -4*p + 14 = -6. What is the lowest common multiple of l and p? 10 Let h = 286/21 - 86/7. Calculate the common denominator of -19 and h. 3 Suppose 3*g = h + 11, 0*h = 2*h + 5*g - 22. Calculate the smallest common multiple of h and 36. 36 Let z(w) = 2*w**2 - 16*w - 31. What is the least common multiple of 16 and z(-2)? 144 Suppose -5*o + 3*t - 2*t + 76 = 0, -t = -o + 12. Let m = -10 + o. Suppose 3*r - d - 21 = -4*d, -15 = 3*d. What is the least common multiple of m and r? 12 Let p(i) = -4*i + 76. Calculate the smallest common multiple of p(-14) and 18. 396 Let x = 23049/10 - 2302. Find the common denominator of x and 6/(-36) + (-1112)/2400*-5. 20 Let k = -1282 + 5057/4. Let p(o) = 2*o**3 + 6*o**2 - 8*o - 6. Let n be p(-5). Calculate the common denominator of k and (2 - (-128)/n)*-51. 44 Let p(n) = n**2 - 8*n + 9. Let a be p(7). Suppose 2*y = -30 + a. What is the common denominator of ((-7)/y)/(3/(-86)) and -19/9? 9 Suppose 570 = 22*n - 12*n. Calculate the smallest common multiple of 42 and n. 798 Calculate the common denominator of 127/72 and (1184/(-64))/(40/6). 360 Suppose 21*t = 10*t + 2728. Calculate the least common multiple of t and 31. 248 Suppose -4*z = -3*d - 81, 2*z - 5*d - 47 + 10 = 0. Suppose 0*m - m - 3*j + z = 0, -5*j + 67 = 3*m. Calculate the least common multiple of 12 and m. 24 Let t = 248/1481 - -7587390/25177. Let y = 301 - t. What is the common denominator of y and (-34)/(-33)*(-6)/(-4)? 187 Let w be (-4)/(-14) + 408/42. Suppose 7*k = 5*k - w. What is the smallest common multiple of ((-12)/k)/((-3)/(-10)) and 1? 8 Suppose -5*t - 3*z - 210 = 0, -2*z = -4*z. Let a = 29 + t. Let k = 23 + a. Calculate the smallest common multiple of k and 8. 40 Let k(h) be the second derivative of -h**4/12 + 4*h**3/3 + 3*h**2 - 4*h. Let r be k(8). Let g = 8 + r. What is the smallest common multiple of 2 and g? 14 Find the common denominator of -59/33 and -8 - (-3 + 2629/(-363)). 33 Let s = -18 + 29. Suppose 3*v - 41 = 4*i, 5*v + 4 = 5*i + 64. Calculate the lowest common multiple of s and v. 77 Let d(c) = 65*c**2 - 3*c + 13. Let b be d(6). Let o = -16314/7 + b. Find the common denominator of o and -35/17. 119 Let i be (5/(-5))/(2/(-10)). Suppose 3*n = 3*t + 126, 298 - 52 = -i*t - 4*n. Find the common denominator of t and 216/32 - (-3)/(-2). 4 Let l = -124/405 - 13/81. Find the common denominator of 2/105 and l. 105 Suppose 4*r - 120 = -r. Let z(m) = -107*m + 241. What is the least common multiple of r and z(2)? 216 Suppose -3*u + u = -4. Let q(t) = 3*t + 8. Let b(c) = 5*c + 15. Let r(m) = 4*b(m) - 7*q(m). What is the least common multiple of r(-5) and u? 18 Suppose -4*v = -3*f - 137, 2*v - 4*f - 79 = f. Find the common denominator of (5/110)/((-2)/v) and -95/8. 88 Suppose -5*p + 15 = 0, 3*r = 50*p - 54*p + 66. What is the smallest common multiple of ((-6)/2)/(2/(-18)) and r? 54 What is the smallest common multiple of -3 + 9 + (3 + 0 - -1) and 20? 20 Let i(v) = -v + 6. Let o be i(6). Suppose -5*p + p + 80 = o. Suppose -7*k + 15 = -6*k + a, -70 = -5*k - 4*a. What is the smallest common multiple of p and k? 20 Let y = -184915/152152 - 1/1729. Find the common denominator of -87/80 and y. 880 Suppose 0 = -3*y - 9*y + 264. What is the smallest common multiple of y and 104? 1144 Suppose -5*h = n, 5*h = 3*n - 18 - 62. What is the least common multiple of n and 44? 220 What is the common denominator of (-136)/(-28) + -5 - (0 + 0) and 51/70? 70 Suppose -120*z + 2625 = -60*z + 15*z. Calculate the least common multiple of (0 + -1)*(0 - 1) and z. 35 Let q(j) = -3*j + 1. Let w be q(-4). Let l(d) = -4*d + 20. Let v(i) = i + 1. Let x(k) = l(k) + 3*v(k). What is the smallest common multiple of 8 and x(w)? 40 Suppose 23*t + 6*t - 18*t = 176. Suppose 2*x - 16 = -4*n, 2*n - n - 32 = -4*x. What is the smallest common multiple of t and x? 16 Let o(p) = -29*p - 13. What is the smallest common multiple of 44 and o(-1)? 176 Let c = 8936/9 + -994. Let g = -3779 - -30131/8. Find the common denominator of c and g. 72 Let f = -1205284831/606 + 1988939. Let w = -330475/101 + 3272. Let z = w - f. Find the common denominator of z and -10/9. 18 Suppose 5*a = 4*y + 676, 3*y + 144 = a - 0*y. Suppose -2*m = 4*m - a. Calculate the least common multiple of m and 9. 198 Find the common denominator of -77/111 and 4/22*24/144. 1221 Calculate the common denominator of 83/30 and 12/(-432)*4*906/(-4). 30 Suppose 2*r - 4 = -3*t, -t - r = 2*t + 1. What is the lowest common multiple of 2 and t/(-8)*(-1)/(3/(-156))? 26 Find the common denominator of -49/54 and (202/55)/(72/(-30)). 594 Let o = -2/1577 - -42607/22078. Let n be 4*2/4 - 1. Find the common denominator of 25*3*n/(-2) and o. 14 Find the common denominator of -76/9 and (426/180 - 5) + 3. 90 Suppose 3*q = -9 - 3. Find the common denominator of 10/5 + 70/4 and ((-4)/16)/(q/(-89)). 16 Suppose d + 19 = t, 0 = -2*t - t + 2*d + 60. Calculate the lowest common multiple of 192 and t. 2112 Let t(n) = n + 14. Let x = -209 + 331. Suppose -2*m = 3*b - 32, -4*m + x = m - 3*b. What is the least common multiple of m and t(-6)? 88 Let n = -136/81 + 4811/2592. Find the common denominator of 31/12 and n. 96 Let f be 207/(-120)*5/(-8). Let m = -3129/320 + f. Calculate the common denominator of m and -21/2. 10 Let k = -19 + 31. Let p be ((-9)/(-3))/(-3) - -8. Suppose 0*w - p*w + 70 = 0. Calculate the smallest common multiple of w and k. 60 Let t = -4325970 + 69306111/16. Let p = t - 5685. Let k = p + 2175/112. Calculate the common denominator of 75/2 and k. 14 Let d = -12 + 13. Let p(y) = 1. Let f(r) = r + 4. Let h(t) = -2*f(t) + 6*p(t). What is the lowest common multiple of h(-3) and d? 4 Let z(i) = -i**3 + 10*i**2 + i - 3. Let s be -3*(6/27)/(4/(-60)). Calculate the smallest common multiple of z(s) and 5. 35 Calculate the common denominator of -157/60 and -15*(-126)/175*(-6)/(-16). 60 Suppose 33 + 6 = 3*f. Let n = -5958 - -5959. Calculate the lowest common multiple of f and n. 13 What is the common denominator of -33/95 and 10/((-96)/780*5)? 380 Let i(z) = -z**3 - 7*z**2 - 10*z - 10. What is the lowest common multiple of 16 and i(-6)? 112 Suppose 2*z - 2*d - 18 = -4*d, 0 = d - 4. Suppose 15 = z*a - 5. What is the least common multiple of 8 and a? 8 Find the common den
{ "pile_set_name": "DM Mathematics" }
uppose 3*u = 4*y - 17, -5*u + 0*y = -m*y + 5. What is the units digit of u? 1 Let u = 6 - 6. Let s(m) = -m**2 + 5*m + 6. Let b be s(6). What is the units digit of u - (b + -2)*1? 2 Suppose 3*b = -2*b + 15. Suppose 51 = -b*r + 132. What is the tens digit of r? 2 Let c = -5 - -9. Suppose 0*w - 8 = -c*w. Suppose 2*u + 5*n = 7, 0 = 3*u + 2*n + w*n - 14. What is the units digit of u? 6 Suppose 0 = 4*h + 4*o - 64, 56 = h + 3*h + 2*o. What is the tens digit of h? 1 Let t(q) = 2*q - 3. Suppose 3*v = -g + 9, -2*g = -v + 3*v - 14. Let k be (8/g)/(2/6). What is the units digit of t(k)? 5 Let m = 5 - 7. Suppose 2*r = 4*u - 2, 0*r + 4*r = 5*u - 1. Let a = r - m. What is the units digit of a? 3 Let c = 7 - 1. Suppose 7 = 2*q + 1. Suppose -q*b = -c, 4*f + 5*b - 1 = 13. What is the units digit of f? 1 Let o = 5 - -61. Let b = o - 45. What is the tens digit of b? 2 Suppose -4*a + 32 = -52. What is the units digit of a? 1 Let s be (-1)/(-1) - 16/(-4). What is the units digit of (6/(-15))/((-1)/s)? 2 Let l be 1/(1/9) - -1. Suppose l = -3*s - 5, 2*u - 4*s = 46. What is the units digit of u? 3 What is the units digit of (-4)/14 + 74/14? 5 What is the units digit of 12/(-30) - 144/(-10)? 4 Let t(p) = p**2 - p + 1. Let o(b) = -3*b**2 + 2*b - 20. Let y(r) = -o(r) - 2*t(r). Let g be y(0). Let j = -13 + g. What is the units digit of j? 5 Let r be 104/28 - 2/(-7). Suppose -p + r*p - 90 = 0. Suppose -4*y - y = -p. What is the units digit of y? 6 Suppose -2*q - 2 = -4*q. Suppose 0 = c + 3 - q. Let k = 6 + c. What is the units digit of k? 4 Let q(v) = v**2 - 1. Let f(h) = -4*h**2 + 3*h + 6. Let y(x) = -f(x) - 3*q(x). What is the units digit of y(-5)? 7 Suppose -h - 6 = -3. What is the units digit of 4 - 6/(h*1)? 6 Suppose 2*j + 3*j = 25. Suppose j*q + 18 - 61 = 4*o, -5*q + 46 = -3*o. What is the tens digit of q? 1 Let w be 3/3 + 1*-1. Suppose -2*x + 26 + 8 = w. What is the units digit of x? 7 Let c(m) = -m**2 - 9*m - 10. What is the tens digit of c(-5)? 1 Let f(a) = a - 1. Let k be f(5). Suppose d = -d + k. What is the units digit of d/2*(-18)/(-3)? 6 Let k(g) = g**3 + 7*g**2 + 3*g + 4. What is the units digit of k(-5)? 9 Suppose p - 1 = 23. Let z = 25 + p. What is the units digit of z? 9 Let a = 7 - 8. What is the units digit of (0 + -2)/a - -10? 2 Let v = -76 + 54. Let b = -13 - v. What is the units digit of b? 9 Let s = 32 - -24. Suppose d = -3*d + s. Suppose -d = -2*b + 4. What is the units digit of b? 9 What is the tens digit of (-1 - 1 - -5)*7? 2 Let i = 38 - 22. What is the tens digit of i? 1 Suppose 2*d + 27 = 1. Let b = d - -22. What is the units digit of b? 9 Suppose 0 = -2*r, -3*r + 44 = k - 5. What is the units digit of k? 9 Suppose 3*l + o = 4*l - 238, -943 = -4*l - 5*o. What is the hundreds digit of l? 2 What is the units digit of 1/(((-20)/(-4))/695)? 9 Suppose 0 = a - 2*a + g + 4, 8 = 4*a - 2*g. Suppose -3*k = -18 - a. What is the units digit of k? 6 Let s(d) = 3*d**2 + 8*d - 4. What is the units digit of s(-4)? 2 Suppose 2*f + 4*f = 54. What is the units digit of f? 9 Let a = -9 - -5. Let g(h) = 5*h**3 + h**2 + 7*h + 6. Let w(l) = 4*l**3 + 2*l**2 + 6*l + 5. Let o(y) = -3*g(y) + 4*w(y). What is the units digit of o(a)? 6 Let i(r) = r**2 - r - 4. Let w be i(3). Suppose x - 10 = -w*p, 3*x - 24 = -p - 3*p. What is the units digit of x? 4 Let r(k) = -k**2 + 10*k - 9. Let d be r(9). Let q be (-3)/(-5) - (-14)/35. What is the units digit of q/(2/2 - d)? 1 Suppose 0 = 2*w + 3*w. Let c(r) = -r + 27. Let l be c(w). Suppose 3*n - 2*v - l = v, -5*v = -3*n + 31. What is the units digit of n? 7 Let l be 4 + 0 + 0 - 0. Suppose 0 = h - l*h. Suppose -g + h*g = -8. What is the units digit of g? 8 Suppose 8 = 2*m + 2. What is the units digit of 3 - (m - 3)*-1? 3 Suppose 0 = 5*r + a - 129, -5*r + 3*a + 127 = 6*a. What is the tens digit of 141/13 - (-4)/r? 1 Let r(f) = 11*f - 49. Let u(n) = 5*n - 24. Let b(a) = -2*r(a) + 5*u(a). What is the units digit of b(15)? 3 Suppose m = 4*i + 8, -5*i + 2*m + 3*m = 10. Let u be (4 + -5)*(-1 + i). What is the units digit of u + -5 + (-3)/(-1)? 1 Suppose 0 = -2*d + 5*c - 7 + 39, d = -c + 23. What is the tens digit of d? 2 Let u be (-1 + -122)/(6/(-4)). Suppose 0 = 2*l + l + 2*z - u, 2*z - 142 = -5*l. Suppose -2*c - l = -3*i, -4*i - 2*c - 8 = -34. What is the units digit of i? 8 Suppose -8 = -2*s + 2*k, 3*k + 4 = 2*s + 2*k. Suppose s = -3*t - 99 + 27. Let m = t - -43. What is the units digit of m? 9 What is the tens digit of (3 - 1) + 24/2? 1 Let h(n) = -3*n - 7. Let t be h(-5). Let w(r) = r**3 - 7*r**2 - 7*r + 7. What is the tens digit of w(t)? 1 Let q = -29 - -87. Suppose q = 4*s - 2. What is the tens digit of s? 1 Let h = -48 + 113. Let o = -37 + h. What is the tens digit of o? 2 Suppose 3*x + 7 - 13 = 0. Suppose -i - 2*f + 36 = 0, -x*f = -4*i + 168 + 16. What is the tens digit of i? 4 Let j = 4 + -4. Let l(h) = h**2 - h + 6. What is the units digit of l(j)? 6 Let t = -439 - -675. What is the tens digit of t? 3 Let g be (-59)/(-4) + 1/4. Suppose 0*y = -5*t + 3*y - 53, 3*t - 3*y = -33. What is the units digit of 219/g - 4/t? 5 Let l = -13 - -18. Suppose l*y = 4*y + 14. What is the units digit of y? 4 Let p(r) = 2*r + 2. Let w be p(2). Let i(n) = n + 2. Let o be i(w). Let s = o + -6. What is the units digit of s? 2 Let j be 3/2 - (-3)/6. Suppose -8*z + j*z + 246 = 0. What is the units digit of z? 1 Let f(y) be the first derivative of -y**3/3 - 5*y**2 + 6*y - 3. What is the units digit of f(-10)? 6 Let p be 3/(0 - (-2 + 1)). Let g = 8 - p. Suppose -5*x + 22 = -3*b, 4*x - 16 = g*b - b. What is the units digit of b? 1 What is the units digit of (-3)/(-4) - 1443/(-12)? 1 Suppose 0 = u - 6*u + 3*l + 25, 25 = -5*l. Suppose 5*s = -y - 3 + 1, u*s + 33 = -5*y. Let c = y - -11. What is the units digit of c? 4 Suppose u = -0*u - 5. Let j = u + 11. What is the units digit of j? 6 Let b(r) = -2*r**2 - 2*r + 1. Let l be b(-2). What is the units digit of 6 - 2/3*l? 8 What is the units digit of 2/(68/64 + -1)? 2 Let w = 4 + -7. What is the units digit of (-453)/(-18) - w/(-18)? 5 Let o(m) = m - 5. Let r = -11 + 16. Let i be o(r). Suppose i*k - k = -12. What is the units digit of k? 2 Let q be 1/((4 + 0)/(-24)). Let k be 20/(-3)*(-6)/5. Let i = k - q. What is the tens digit of i? 1 Suppose 3*c + 11 = -4. Let o = c - -25. What is the units digit of o? 0 Let p(v) = -v**3 - 8*v**2 + 6*v - 10. Let z = -12 + 3. What is the tens digit of p(z)? 1 What is the units digit of (-4)/10 - (-49)/35? 1 Let o = -25 + 14. Let t = o + 5. Let s = t + 14. What is the units digit of s? 8 Let a = 27 + -18. What is the units digit of (-1 + 7)*48/a? 2 What is the tens digit of 1/(1/76*2)? 3 Let q = -5 + -1. Let r be (q/(-4) + -1)*0. Suppose r = 5*s + 3*n - 70 + 21, -3*s + 30 = 2*n. What is the units digit of s? 8 Let t(j) be the second derivative of -2*j**2 + 0 + 1/2*j**3 - 4*j. What is the units digit of t(7)? 7 Let g = 44 + 95. What is the hundreds digit of g? 1 Let o = 116 - 70. What is the tens digit of o? 4 Let r(m) = -m**2 + 20*m - 21. What is the tens digit of r(14)? 6 Let d(m) = -m**3 - 8*m**2 + 9*m + 12. Let n be (-1*12 + 3)*1. What is the tens digit of d(n)? 1 What is the units digit of (7 + -1)*-1*-1? 6 Let d(r) = r**3 - 9*r**2 + 8*r + 3. Let v be d(8). Suppose v*b = -b + 100. What is the units digit of (-116)/(-10) + 10/b? 2 Suppose -4*v = -5*u + 3*u - 8, -4*v - 40 = 2*u. Let p = -28 + 32. What is the units digit of (22/(-6))/(p/u)? 1 Suppose 9*w = 10*w - 33. What is the units digit of w? 3 Suppose 0 = -12*t + 897 + 1035. What is the hundreds digit of t? 1 Let v(i) be the third derivative of i**4/24 - i**3/3 - i**2. Suppose -5*r + 10 = -5*w + 35, w - 3*r = 5. What is the units digit of v(w)? 3 Suppose 0 = -n - 3*n - 20. What is the units digit of (n - -2) + 21 + 2? 0 Suppose 0 = -2*d + u + 240, 0 = 3*d - d + 5*u - 240. Suppose d = -a + 6*a. What is the units digit of a? 4 Let b = 54 + -32. Let u be 106/b - (-6)/33. Suppose 4*c = -3*h + 13, u*c + 0*h = -4*h + 16. What is the units digit of c? 4 Let h(r) = r**2 + 7*r. Let t be h(-6). Let m be (t/(-4))/(6/16). Suppose -2*x + 5*x = y + 8, y = -x - m. What is the units digit of x? 1 Let b(x) = -3*x**2 + x - 1. Suppose -z - 4 = -0*o - o, z + 3 = 0. Let h be b(o). Let p(n) = n + 4. What is the units digit of p(h)? 1 Let
{ "pile_set_name": "DM Mathematics" }
c**2 + 11*c - 38. Give m(12). -50 Let a(l) = -l**2 - 7*l - 5. Give a(-4). 7 Let q(n) = -6*n + 2. What is q(5)? -28 Let q(l) = l - 2. Calculate q(5). 3 Let g(w) = 4*w - 64. What is g(14)? -8 Let g(y) = -5*y - 27. Give g(-6). 3 Let t(q) = -q**2 + 9*q + 8. Calculate t(-4). -44 Let o(p) = 44*p + 136. Give o(-3). 4 Let o(y) = -14*y - 11. Determine o(-2). 17 Let f(o) = o + 29. Determine f(-16). 13 Let s(t) = -t**3 + 6*t**2 - 4*t - 4. Calculate s(4). 12 Let w(o) = -o**2 - 10*o - 15. Give w(-11). -26 Let q(y) = -y**3 - 6*y**2 + 2*y + 4. Give q(-5). -31 Let f(x) = -21*x - 132. Calculate f(-7). 15 Let z(u) = -12*u - 121. Determine z(-8). -25 Let z(k) = k**3 - 10*k**2 - 11*k - 4. Determine z(11). -4 Let v(q) = 132*q + 918. Calculate v(-7). -6 Let g(a) = a**3 + 10*a**2 + 12*a - 8. Determine g(-9). -35 Let v(h) = h**2 - 17*h - 18. Determine v(18). 0 Let g(b) = b**3 - 6*b**2 + 5*b + 1. Calculate g(4). -11 Let y(o) = o**2 - 33*o - 22. Determine y(35). 48 Let o(z) = -6*z - 16. Calculate o(-7). 26 Let o(y) = y**3 - 4*y**2 - 6*y + 15. Calculate o(5). 10 Let y(s) = -s**3 + 8*s**2 - 5*s - 8. Calculate y(8). -48 Let x(w) = 3*w**2 + w - 4. Determine x(2). 10 Let x(p) = p**3 - 2*p**2 - 38*p + 20. Give x(7). -1 Let s(p) = -5*p - 13. What is s(-3)? 2 Let u(y) = 2*y**2 + 8*y + 11. Give u(-4). 11 Let q(m) = 4*m**2 + 14*m - 370. What is q(8)? -2 Let x(m) = -m**2 - 9*m + 9. Calculate x(-13). -43 Let f(k) = -k - 10. Give f(-10). 0 Let x(a) = 6*a + 48. Give x(-6). 12 Let t(j) = -4*j + 23. Give t(6). -1 Let y(a) = -a**2 + 9*a - 33. What is y(9)? -33 Let w(c) = -4*c**2 + 54*c + 20. Give w(14). -8 Let m(h) = -21*h - 337. Give m(-16). -1 Let z(g) = -g**3 - 18*g**2 + 39*g - 16. Calculate z(-20). 4 Let v(c) = 25*c - 73. Give v(3). 2 Let l(z) = -23*z + 28. Give l(-6). 166 Let h(r) = -3*r + 9. Determine h(4). -3 Let j(y) = y**3 + 7*y**2 - 7*y - 4. Give j(-8). -12 Let j(w) = w**2 - w - 11. Determine j(-4). 9 Let b(h) = -4*h + 178. Calculate b(37). 30 Let q(x) = -3*x - 17. Determine q(0). -17 Let q(f) = -f**2 + 4*f - 2. Give q(3). 1 Let w(h) = -2*h**2 + 7*h + 2. Calculate w(5). -13 Let y(x) = x**2 - 8*x - 2. Give y(7). -9 Let h(a) = 34*a**2 - 3*a - 2. What is h(-1)? 35 Let f(j) = j**3 + 13*j**2 - 31*j - 11. What is f(-15)? 4 Let l(q) = q**2 + 12*q + 20. What is l(-10)? 0 Let z(f) = -f**3 - 4*f**2 + 17*f + 15. Calculate z(-6). -15 Let t(x) = -x**3 - 12*x**2 - 34*x + 2. Calculate t(-7). -5 Let m(j) = -j**3 - 13*j**2 + 16*j + 35. Calculate m(-14). 7 Let b(v) = v**2 - 20*v - 108. Give b(-5). 17 Let r(w) = 2*w**3 - 23*w**2 + 11*w - 9. Calculate r(11). -9 Let q(m) = m + 8. Determine q(8). 16 Let a(o) = -o**2 + o + 9. Determine a(5). -11 Let c(a) = a**2 + 3*a - 14. Calculate c(6). 40 Let o(i) = -i**2 - 8*i - 17. What is o(-6)? -5 Let s(k) = -17*k - 1. Calculate s(1). -18 Let s(n) = -n**2 - 10*n - 36. Determine s(-8). -20 Let g(n) = -n**3 + 4*n**2 + 6. What is g(4)? 6 Let y(d) = 3*d - 61. Calculate y(17). -10 Let f(z) = -z + 1. What is f(-4)? 5 Let m(j) = j**2 + 10*j + 9. Determine m(-6). -15 Let a(m) = -m**2 + 7. Calculate a(5). -18 Let j(l) = 2*l**3 + 7*l**2 - 2*l + 14. Determine j(-4). 6 Let n(u) = u**2 - 9*u - 39. Calculate n(-3). -3 Let v(i) = 3*i**2 - 67*i + 23. Calculate v(22). 1 Let p(l) = 5*l**2 - 13*l + 26. Determine p(2). 20 Let o(g) = 24*g - 174. Give o(8). 18 Let m(q) = q + 10. Calculate m(18). 28 Let n(i) = -i**2 - 42*i - 78. Calculate n(-40). 2 Let t(x) = x**3 + 2*x**2 + 4*x + 1. Calculate t(-3). -20 Let c(j) = -6*j**2 + 3. Determine c(-2). -21 Let z(v) = v**3 - 3*v - 5. Calculate z(4). 47 Let b(o) = -2*o**2 + 5*o + 4. Determine b(7). -59 Let h(p) = -p**3 - 16*p**2 - 20*p - 65. Determine h(-15). 10 Let m(o) = o**3 + 2. Calculate m(0). 2 Let x(b) = b**3 - 5*b**2 - 8*b + 8. Calculate x(6). -4 Let k(y) = -6*y**2 + 6. Determine k(-3). -48 Let v(c) = -24*c - 188. Determine v(-8). 4 Let j(h) = -h**2 + 2*h + 2. Calculate j(-4). -22 Let l(n) = n + 5. Calculate l(-11). -6 Let q(u) = u**3 + 7*u**2 - 2*u - 7. Calculate q(-7). 7 Let j(u) = -25*u - 9. Determine j(0). -9 Let j(v) = v**2 + 13*v - 46. Give j(5). 44 Let b(k) = -2*k + 4. Give b(3). -2 Let f(i) = i**3 + 3*i**2 + 2*i + 21. What is f(-4)? -3 Let i(s) = s**3 - 8*s**2 + 11*s. Give i(6). -6 Let q(u) = -3*u**3 - 3*u**2 - 6*u - 13. What is q(-3)? 59 Let h(g) = g**2 + 3*g - 8. Calculate h(-4). -4 Let s(q) = 9*q + 193. Calculate s(-23). -14 Let w(u) = -2*u + 7. Determine w(8). -9 Let b(a) = -a**2 - 12*a + 32. Give b(3). -13 Let f(n) = n**2 + 13*n + 10. Determine f(-7). -32 Let r(n) = -2*n**2 + 11*n - 7. Determine r(4). 5 Let u(i) = -i**2 + 21*i + 47. Give u(22). 25 Let w(o) = o**2 - 8*o - 8. What is w(8)? -8 Let v(m) = -m**2 + 9*m + 112. Give v(-7). 0 Let f(c) = c + 2. Calculate f(-3). -1 Let w(u) = -2*u - 23. Give w(-10). -3 Let n(v) = -4*v**3 - v**2 + 6*v - 5. What is n(1)? -4 Let g(p) = -p**3 + 29*p**2 - 27*p - 37. Give g(28). -9 Let x(r) = -r + 6. Give x(-10). 16 Let x(n) = -n**3 + 10*n**2 - 10*n + 7. Calculate x(9). -2 Let c(m) = -3*m**2 - 4*m + 1. Calculate c(-2). -3 Let f(o) = o - 1. What is f(1)? 0 Let h(v) = -v**3 - 8*v**2 + 20*v - 5. Calculate h(-10). -5 Let d(k) = -k - 1. Give d(0). -1 Let q(l) = -l**3 - 8*l**2 - 12*l - 3. Give q(-3). -12 Let v(r) = r + 26. What is v(-17)? 9 Let y(u) = 4*u + 75. Determine y(-19). -1 Let u(f) = 9*f**2 + 2*f. Give u(-3). 75 Let w(f) = f**3 + 15*f**2 + 15*f + 9. Determine w(-14). -5 Let v(n) = -n**3 - 5*n**2 + 15*n - 6. Determine v(-7). -13 Let j(a) = 9*a - 1. What is j(1)? 8 Let b(d) = d**2 + 3*d - 3. What is b(2)? 7 Let s(k) = k**3 + 12*k**2 + 37*k + 11. Give s(-6). 5 Let i(b) = b**2 + 9*b + 6. Determine i(-8). -2 Let n(r) = -23*r**3 + r**2 + r - 1. Calculate n(1). -22 Let q(s) = -s**3 - s**2 + 17*s + 7. Determine q(-5). 22 Let h(w) = w**2 - w + 6. Determine h(0). 6 Let i(l) = -10*l**3 + 2*l**2 - 7*l + 5. Calculate i(1). -10 Let h(w) = w**3 + 4*w**2 + w - 1. Calculate h(-4). -5 Let b(h) = 2*h**3 - 37*h**2 - 19*h + 1. Calculate b(19). 1 Let l(x) = -x + 3. Determine l(-12). 15 Let a(i) = -i**2 - i + 11. What is a(0)? 11 Let q(j) = j**3 + j**2 - j - 9. Determine q(0). -9 Let y(m) = -2*m**2 + 9*m + 14. Calculate y(8). -42 Let u(i) = i + 11. Give u(-9). 2 Let b(a) = -a**2 - 7*a. What is b(-6)? 6 Let k(r) = -3*r - 2. Determine k(5). -17 Let y(x) = x**3 + 12*x**2 + 15*x - 47. What is y(-10)? 3 Let i(u) = -32*u + 41. Give i(1). 9 Let p(u) = 2*u - 49. What is p(16)? -17 Let i(a) = -7*a - 88. What is i(-8)? -32 Let c(j) = j**3 - 2*j**2 + j - 4. Determine c(3). 8 Let r(g) = g + 29. Calculate r(0). 29 Let g(i) = 31*i + 108. Calculate g(-4). -16 Let b(g) = 11*g**2 - 6*g - 8. Give b(-2). 48 Let t(c) = -8*c**2 - 18*c - 3. Calculate t(-1). 7 Let w(u) = -4*u**2 - 3*u - 1. Give w(-2). -11 Let n(g) = -11*g + 209. Calculate n(19). 0 Let i(u) = 18*u**2 - 2. Determine i(-1). 16 Let y(m) = -2*m**2 + 10*m - 19. What is y(6)? -31 Let c(k) = -k + 17. Determine c(11). 6 Let b(o) = -3*o + 27. Determine b(11). -6 Let s(f) = -f**3 + 28*f**2 + f - 31. Determine s(28). -3 Let a(n) = -n**3 + 3*n**2 - n - 6. What is a(3)? -9 Let y(q) = -q**2 - q + 2. What is y(7)? -54 Let h(g) = -g**3 - 8*g**2 + 3*g + 17. Give h(-8). -7 Let p(d) = -d**3 - 12*d**2 - 10*d - 16. Give p(-11). -27 Let s(u) = -9*u + 16. What is s(2)? -2 Let f(a) = 5*a - 14. Calculate f(0). -14 Let f(l) = l - 22. Calculate f(5). -17 Let h(x) = 2*x**2 + 2*x + 1. Determine h(-3). 13 Let l(u) = -u**2 + u + 18. Give l(0). 18 Let r(p) = -3*p + 28. Calculate r(7). 7 Let y(v) = -v**3 + 13*v**2 - 11*v - 4. Calculate y(12). 8 Let w(h) = h**3 + 7*h**2 + 8*h + 15. Calculate w(-6). 3 Let i(d) = -d**3 - 13*d**2 - 11*d + 9. What is i(-12)? -3 Let y(r) = 5*r**2 + 2*r + 3. What is y(-2)? 19 Let v(y) = y - 7. Calculate v(1). -6 Let i(b) = -b. Determine i(-5). 5 Let w(g) = 4*g**3 - 5*g**2 + 2*g + 5. What is w(3)? 74 Let d(x) = 5*x + 133. Calculate d(-39). -62 Let g(a) = 3*a**2 + 2*a + 13. Calculate g(0). 13 Let g(b) = b**2 + 12*b + 8. Determine g(-10). -12 Let d(g) = g**3 - g - 9. What is d(0)? -9 Let m(a) = 15*a - 24. Determine m(0). -24 Let i(t) = 9*t**2 + 7*t + 7. Determine i(-2). 29 Let o(d) = -d**3 + 2*d**2 + 7*d - 12. Determine o(2). 2 Let j(l) = -l**2 + 7*l - 5. Calculate j(5). 5 Let l(c) = 5*c + 5. Calculate l(-5). -20 Let o(d) = -d**3 - 4*d**2 + 4*d + 3. What is o(-2)? -1
{ "pile_set_name": "DM Mathematics" }
(-11). Let v = 283 + x. Find g such that 64/7 - 2/7*g**3 + 20/7*g**v - 64/7*g = 0. 2, 4 Let r be (-62)/(-341) + (-42)/(-11). Suppose 6*i + r*i - 30 = 0. Factor 0 + 1/3*z + 0*z**i - z**2 + 4/3*z**4. z*(z + 1)*(2*z - 1)**2/3 Let l(o) be the third derivative of 7*o**5/150 + 9*o**4/10 - 16*o**3/15 + 150*o**2. Solve l(i) = 0. -8, 2/7 Let p = 214 + -211. Suppose p*q - 4*m = -0*q - 1, 0 = 5*q - 3*m - 2. Find x, given that -17/4*x**2 - q - 4*x - 5/4*x**3 = 0. -2, -1, -2/5 Let a be ((-381)/(-30) + -11 + -2)/(3/(-5)). Find h, given that -1/2*h**2 + h + 0 - a*h**3 = 0. -2, 0, 1 Let h(z) be the third derivative of z**5/120 - 13*z**4/8 + 507*z**3/4 - 3*z**2 - 603. Suppose h(p) = 0. Calculate p. 39 Let w be (-132335)/(-398) - (1 + 0)*-1. Let a = 344 - w. Factor 111/2*x - 15 - a*x**2. -3*(x - 5)*(7*x - 2)/2 Let v(r) be the third derivative of -r**7/1155 - r**6/165 + 13*r**5/330 + r**4/33 - 4*r**3/11 - 3287*r**2. What is m in v(m) = 0? -6, -1, 1, 2 Let i(q) be the second derivative of q**4 - 3869*q**3/2 + 2901*q**2/2 - 16*q + 62. Factor i(l). 3*(l - 967)*(4*l - 1) Determine x so that 1/2*x**4 + 325/2 - 2*x**3 - 51*x**2 - 110*x = 0. -5, 1, 13 Let t(o) be the third derivative of -o**7/3360 + o**6/1440 + o**5/480 - o**4/96 - 4*o**3/3 - o**2 - 5. Let i(n) be the first derivative of t(n). Factor i(f). -(f - 1)**2*(f + 1)/4 Find z, given that 0*z**2 + 42*z**2 - 30*z**2 - 628*z**3 - 21 + 1277 - 4*z**4 + 1892*z = 0. -157, -1, 2 Let u(g) = 5*g**2 - 11*g - 27. Let q be u(-2). Solve 21*c**4 + 33*c**3 + 3*c**2 + 12*c**2 - 12*c**5 + q*c**5 = 0 for c. -5, -1, 0 Factor -2/15*x**2 + 182/15*x - 12. -2*(x - 90)*(x - 1)/15 Find q, given that -24832*q**3 + 25420*q**3 + q**4 + 3*q**4 - 1188*q**2 + 383*q + 213*q = 0. -149, 0, 1 Let o(i) = i**3 - 6*i**2 - 3*i + 14. Let r be o(5). Let t be 196/637*r/(-12). Determine p so that 1/6*p + 0 - 2/3*p**4 - t*p**2 + 1/6*p**5 + p**3 = 0. 0, 1 Let d(b) be the first derivative of -5*b**6/6 - 78*b**5 - 1995*b**4 - 14440*b**3/3 + 298. Find a such that d(a) = 0. -38, -2, 0 Let a(q) = 6*q - 241. Let f be a(53). Let b be 168/f - (4 - 2). Find j such that -6/11*j - b + 8/11*j**2 = 0. -1/4, 1 Let p = -2/247885 + 89239/49577. Solve -3/5*d**4 + 0*d**3 + p*d**2 + 0 - 6/5*d = 0. -2, 0, 1 Let v be ((-195)/(-50))/13*(-1440)/(-216). Factor -7/8 - 45/2*w**v + 31/4*w + 81/4*w**3 + 27/8*w**4. (w + 7)*(3*w - 1)**3/8 Let d(b) = -b**2 + 3. Let z(j) = -22*j**4 + 48*j**3 - 16*j**2 + 24. Let f(c) = 8*d(c) - z(c). Factor f(p). 2*p**2*(p - 2)*(11*p - 2) Let p(l) be the second derivative of -l**7/630 - l**6/45 - 2*l**5/15 - 4*l**4/9 + l**3/2 - 25*l. Let w(t) be the second derivative of p(t). Factor w(y). -4*(y + 2)**3/3 Factor 4/5*x**2 + 0 - 24*x. 4*x*(x - 30)/5 Let s(n) be the third derivative of n**5/15 + 343*n**4/8 + 257*n**3/6 - 12*n**2 - 3*n - 86. Factor s(b). (b + 257)*(4*b + 1) Factor 2/9*j**3 - 12 - 6*j + 0*j**2. 2*(j - 6)*(j + 3)**2/9 Let o(z) be the third derivative of 13/108*z**4 - 4/135*z**5 + 0 + 0*z - 32*z**2 + 1/540*z**6 - 2/9*z**3. What is b in o(b) = 0? 1, 6 Let s(l) be the first derivative of -44/17*l - 13/17*l**2 - 49 - 2/51*l**3. Let s(f) = 0. What is f? -11, -2 Let b(k) = k**3. Let d(g) = 4*g**3 + 12*g**2 + 40*g. Let z be (-10 - -4) + 8 - (-1)/(-1). Let i(p) = z*d(p) - 8*b(p). Find q, given that i(q) = 0. -2, 0, 5 Let x(z) be the second derivative of 3585*z**4/4 - 10745*z**3/6 - 5*z**2 - 52*z + 5. Determine o, given that x(o) = 0. -2/2151, 1 Let d(g) = 29*g - 145. Let n be d(5). Suppose n = 5*v - 34 + 14. Solve 8/9*p + 0*p**2 - 2/9*p**v - 2/3*p**3 + 0 = 0 for p. -2, 0, 1 Let l be (3/(-6) + 0 + (-1)/(-12))*(-1785)/595. Factor 0 + 1/8*k**3 + 0*k - l*k**2. k**2*(k - 10)/8 Let s(u) = 2*u**2 + 5*u - 8. Let c(y) = -3*y**3 - 1373*y**2 - 155969*y - 154555. Let d(m) = c(m) + 4*s(m). Factor d(i). -3*(i + 1)*(i + 227)**2 Suppose 582*x**2 - 26*x + 576*x**2 + 2*x**3 + 2*x - 1150*x**2 = 0. What is x? -6, 0, 2 Determine v, given that 48/7 + 20/7*v + 2/7*v**3 - 26/7*v**2 = 0. -1, 2, 12 Let x(l) be the first derivative of -1/2*l**2 - 4/3*l + 225 - 1/18*l**3. Find t, given that x(t) = 0. -4, -2 Let h(w) be the first derivative of -2*w**6/9 - 296*w**5/15 - 1510*w**4/3 - 21008*w**3/9 - 12530*w**2/3 - 9800*w/3 + 6779. What is q in h(q) = 0? -35, -2, -1 Factor 85/2*d**2 - 42*d + 0 - 1/2*d**3. -d*(d - 84)*(d - 1)/2 Let i(m) be the third derivative of m**6/360 - 163*m**5/180 + 7031*m**4/72 - 31205*m**3/18 - 2847*m**2. Solve i(l) = 0 for l. 5, 79 Suppose -303407 = -7*n - 6*n. Suppose -1716 + n = 7*r. Factor 3*h**4 - 6*h + 3086*h**2 + 2*h**3 - r*h**2 + 4*h**3. 3*h*(h - 1)*(h + 1)*(h + 2) Let s(g) = -6*g**2 + g - 4. Let d(v) be the third derivative of -13*v**5/60 + v**4/24 - 3*v**3/2 - 20*v**2. Let a(f) = -4*d(f) + 9*s(f). Factor a(t). -t*(2*t - 5) Let y(d) be the first derivative of d**3/12 - 27*d**2/4 + 729*d/4 + 3542. Factor y(k). (k - 27)**2/4 Suppose 5*f = 5 + 5. Let u be -6 + (23 + -22)*1*8. Factor n**u + 2*n**2 - 3*n**2 + n**f + n. n*(n + 1) Let o(l) be the third derivative of -l**5/10 - 49*l**4/16 - 3*l**3 + 1976*l**2. Factor o(h). -3*(h + 12)*(4*h + 1)/2 Find d such that 454*d - 206116 - 1/4*d**2 = 0. 908 Factor 304/3*o - 52*o**2 + 0 + 2/3*o**3. 2*o*(o - 76)*(o - 2)/3 Let s(w) be the second derivative of -w**7/21 + 26*w**6/15 - 57*w**5/5 + 98*w**4/3 - 149*w**3/3 + 42*w**2 + 30*w + 5. Factor s(n). -2*(n - 21)*(n - 2)*(n - 1)**3 Factor 80 - 13 + 5*m**2 + 9 + 29 - 110*m. 5*(m - 21)*(m - 1) Let l(f) be the first derivative of -107 + 4/21*f**2 - 1/6*f**4 + 0*f - 8/21*f**3. Find s, given that l(s) = 0. -2, 0, 2/7 Let f(w) be the second derivative of -w**7/504 + 7*w**6/48 + 23*w**5/12 + 23*w**4/2 - 90*w. Let o(q) be the third derivative of f(q). Factor o(n). -5*(n - 23)*(n + 2) Let q(c) be the second derivative of c**5/20 - 79*c**4/12 - 122*c**3/3 - 82*c**2 + 12*c - 218. Factor q(j). (j - 82)*(j + 1)*(j + 2) Let d = 892 - 891. Suppose 4 = 2*c + 4*x, 0 = 3*c - 6*c + x - d. Factor -8/3*t**2 + 2/3*t**3 + c + 2*t. 2*t*(t - 3)*(t - 1)/3 Let l(a) = 9*a**3 + 60*a**2 + 332*a + 336. Let h(u) = 7*u**3 + 67*u**2 + 334*u + 336. Let z(w) = 4*h(w) - 3*l(w). Factor z(q). (q + 2)**2*(q + 84) Let 9/4*r - 1/4*r**2 + 13 = 0. What is r? -4, 13 Suppose 188*l + 12 - 576 = 0. Factor 34/9*k**2 + 2/9*k**4 + 34/9*k + 14/9*k**l + 4/3. 2*(k + 1)**2*(k + 2)*(k + 3)/9 Let i(k) be the second derivative of -k**7/14 + 13*k**6/5 + 87*k**5/20 - 27*k**4/2 - 2138*k. Determine u so that i(u) = 0. -2, 0, 1, 27 Let o(t) be the first derivative of 2*t**5/35 + 99*t**4/14 + 2294*t**3/7 + 6727*t**2 + 357492*t/7 + 1219. Factor o(f). 2*(f + 6)*(f + 31)**3/7 Let h(j) be the first derivative of 5*j**5 + 2635*j**4/4 + 27375*j**3 + 639905*j**2/2 + 242990*j + 6759. Suppose h(k) = 0. What is k? -47, -11, -2/5 Suppose -32 = -y - 20. Suppose 3*c - 3*i = 0, -11*i = 2*c - y*i - 3. Determine l so that 3/2*l**c - 3/2 - 3/2*l + 3/2*l**2 = 0. -1, 1 Let v(y) be the third derivative of -5184*y**5/5 - 12*y**4 - y**3/18 - y**2 + 417*y - 2. Find t such that v(t) = 0. -1/432 Let n(y) be the first derivative of y**3/6 + 190*y**2 + 72200*y + 2334. Factor n(a). (a + 380)**2/2 Let c be (-56)/3920*-245*(11/(-14) + 1). Let p be (-4 + 0)*(-2)/4. Factor 27/4*g**p + 81/4*g + c*g**3 + 81/4. 3*(g + 3)**3/4 Determine z so that -4*z**2 + 468*z + 1551 - 2187 - 4772 = 0. 13, 104 Factor 3495*t - 3*t**2 - 4 - 3612*t + 4. -3*t*(t + 39) Let f(n) be the second derivative of 3*n**5/100 - 7473*n**4/20 + 18615243*n**3/10 - 46370570313*n**2/10 + 10644*n. Solve f(g) = 0. 2491 Let y(c) be the second derivative of 2*c**6/15 - 78*c**5/5 + 440*c**4/3 - 384*c**3 + 3607*c + 1. Determine h so that y(h) = 0. 0, 2, 4, 72 Let j(q) be the second derivative of -3/100*q**5 - 12*q**2 + 19/20*q**4 + 1 + 11/5*q**3 + 118*q. Factor j(m). -3*(m - 20)*(m - 1)*(m + 2)/5 Let j(w) be the second derivative of -9 + 1024/9*w**2 - 64/27*w**3 + 3*w + 1/54*w**4. Factor j(s). 2*(s - 32)**2/9 Let s = -300689/4 - -75173. Solve -3/2*y**2 + s - 21/8*y = 0 for y. -2, 1/4 Let s(z) be the second derivative of -3/8*z**2 - 7/24*z**4 + 1/168*z**7 + 43 + 1/120*z**6 - 11/24*z**3 - 3/40*z**5 - z. Determine t, given that s(t) = 0. -1, 3 Let s be (24/(-20) + 0)*-5. Find h, given that 864 - 49*h**2 - s*h**3 + 3*h**3 + 288*h + 6*h**3 - 17*h**2 = 0. -2, 12 Let d(v) = -2*v**4 - 2*v**3 - 8*v**2 + 16*v + 16.
{ "pile_set_name": "DM Mathematics" }
**4 to q*s**4 + i + h*s**2 + a*s + b*s**3 and give i. 2 Express 0*n + 331 + 2*n - 1221*n**2 - 259*n**2 - 332 + 58*n**2 in the form i*n**2 + f + z*n and give i. -1422 Express -2748*o + 145*o**3 + 2751*o + 2*o**2 - 2*o**2 + 2 + 138*o**3 as n*o**3 + h + i*o + r*o**2 and give r. 0 Express 4 + 407*x - 1006*x + 9*x as v*x + y and give v. -590 Rearrange -10 - 12*k + 11 + 53*k - 6*k**3 to the form z*k + m*k**2 + i*k**3 + o and give z. 41 Express (4 - 1 - 1)*(6*v - v - 4*v) + (-7*v + 14*v - v)*(3 - 5 + 0) - 142*v + 9990 - 9990 in the form z*v + c and give z. -152 Rearrange (1 + 195570*c - 3 - 194504*c)*(-5*c - 4 + 4) to the form v*c**2 + p*c + o and give o. 0 Rearrange (44923 - 44923 + 248*r)*((-1 + 1 - 3)*(0 + 1 + 3) - 4 + 3 - 1) to the form b*r + q and give b. -3472 Rearrange -44 + 21*d - 23*d - 64 + 17*d to the form m + q*d and give q. 15 Rearrange -4967*r + 959 - 373 - 588 to the form m*r + f and give m. -4967 Express 334*r**3 + 7 - 369*r**3 - 4*r + 11*r in the form f*r + c*r**3 + t + d*r**2 and give c. -35 Express (-2*m + 4*m + 0*m)*(661 - 5117 - 3997 + 933 - 3700 - 2461) as w*m + b and give w. -27362 Rearrange -v**2 - 82*v + 2319 + v**3 + 2281 + 0*v**3 - 4600 to the form q*v**3 + s*v**2 + x + r*v and give x. 0 Rearrange 495*t**2 - 157*t**2 - 165*t**2 - 47*t - 170*t**2 to the form g*t**2 + y*t + d and give y. -47 Express -5801*w + 2 - 5782*w + 11297*w in the form x + b*w and give x. 2 Express -3*k**2 + 3 - k**3 + 33*k**3 - 2*k**2 - 10*k**3 - 10*k**3 as r + b*k + f*k**3 + s*k**2 and give b. 0 Express (s**3 - s**2 + s**2)*(5 - 3 - 1) - 13347*s + 2383*s**3 + 13347*s + (-1 + 3*s**3 + 1)*(1 - 2 + 2) as a + m*s**3 + v*s**2 + t*s and give m. 2387 Express -2*u**2 + 470*u**3 + 888*u + 892*u - 1782*u - 14*u**3 + 473*u**3 in the form z + p*u**3 + v*u**2 + i*u and give v. -2 Rearrange (-2*n - 5 + 5)*(0 - 2 + 3) + (258*n - 375*n - 253*n)*(0 + 4 - 2) to p*n + k and give p. -742 Express -17*g**2 - 75 - g**4 + 39*g**3 - 4*g**2 - 2*g**2 + 76 in the form i*g + y*g**4 + z*g**2 + l + c*g**3 and give y. -1 Express 56*s**4 - 5*s - 180*s**4 + 47*s**4 - s**3 + 74*s**4 + 1 as o*s**2 + b*s**4 + y*s + h + d*s**3 and give y. -5 Express -16*o - 15*o - 14*o - 9239*o**2 + 45*o in the form f*o + q*o**2 + g and give q. -9239 Express 179 - 34*r**2 + 17*r**2 + 770*r**3 + 15*r**2 + 3*r - 774*r**3 in the form o*r**3 + n + b*r + g*r**2 and give n. 179 Rearrange 13*t + 14*t + 702*t**2 - 88*t**2 - 11*t to the form k*t**2 + r + a*t and give a. 16 Rearrange 24 + 883*j**2 - j + j - 86*j**2 - 22 to x*j**2 + u + r*j and give u. 2 Express (-3*c - c + 3*c + (-6 + 1 + 1)*(1 - 2*c - 1))*(-2*c + 0*c + 3*c)*(28 - 11 + 24) as h*c**2 + t + b*c and give h. 287 Express 62*a - 2*a + 276*a as i + v*a and give i. 0 Express -4059*a + 81*a - 3374*a - 1928*a as j*a + b and give j. -9280 Express 2 + 2*b - 2 + (4*b - 2*b - 5*b)*(0 - 2 + 0) - 82*b - 80*b - 13 + 165*b in the form j + o*b and give j. -13 Express -128*f - 134*f + 2*f**2 - 133*f + 4*f**3 + 398*f in the form d*f**2 + a + q*f**3 + b*f and give q. 4 Rearrange -269 + 759 - 559 - 5*k - 355 to r + i*k and give i. -5 Express (n**2 - 4*n**2 + 2*n**2)*(2 - n - 2) + 6944800*n - 6944800*n - 3336*n**3 + 7*n**3 + 16 - 16 as u + c*n**2 + s*n**3 + w*n and give s. -3328 Express -4*k**3 + k**3 - 2*k**3 - 17*k**2 + 14*k**3 + 17*k**2 + (-5 - 3*k**3 + 5)*(5 - 3 - 1) + k**3 + 4 - 4 in the form v*k + y*k**2 + m*k**3 + p and give m. 7 Express (38 - 59 - 54)*(-2 + 2 - 4*p)*(9719*p - 9720*p - 5 - 18) in the form b*p**2 + q + s*p and give s. -6900 Rearrange -191*b**3 + 97*b**3 + 94*b**3 + b**2 - 40*b + 37*b - b**4 - 3 to p*b**2 + l*b + t*b**3 + d*b**4 + j and give j. -3 Express -1163*g**2 + 7*g - 2*g - 7*g + 6*g - 5*g in the form o + s*g**2 + n*g and give n. -1 Express 348*z - 2 - 1294*z + 381*z in the form n*z + k and give k. -2 Express 23*o**4 - 23*o**4 + 29*o**4 - 4*o**2 - 20*o**4 + 4*o**2 + (1 + 0 + 2)*(0*o**4 + 2*o**4 + 0*o**4) as q*o**4 + g + p*o**2 + s*o**3 + f*o and give q. 15 Express 16*a - 23*a**3 - 13*a**3 + 46*a**3 + 128 - 12*a**3 + a**2 - 2*a**4 in the form i*a**2 + q*a + m*a**4 + t + j*a**3 and give q. 16 Express (-2*l + 2*l + 2*l**2)*(2657*l + 880 + 862 + 878 - 2619) in the form h*l**3 + i*l + f + d*l**2 and give h. 5314 Rearrange 26388 + 26395 - 52783 - 1988*n to a + q*n and give q. -1988 Rearrange 496 - 948 + 452 - 13585*w to the form u*w + b and give u. -13585 Express (78*z**2 + 50*z - 50*z)*(15*z - 1 - 35*z + 21*z) + 3*z**3 + z**3 - 3*z**3 in the form o + i*z**3 + v*z**2 + q*z and give v. -78 Express 43*u**2 - 14 + 2*u - 103 - 167*u**2 - 32 + 125*u**2 in the form n + g*u**2 + p*u and give p. 2 Express (0 + 4 - 2)*(-39*h + 1 + 59*h + 23*h - 2)*(51 + 59 - 37) as r*h + l and give r. 6278 Express 27*h - 3*h - 3*h + 17*h - 2 + 9*h - 24*h**2 in the form u*h**2 + w + c*h and give u. -24 Express 110 + 14*g**4 - 110 + (1 - 4 + 0)*(4*g**4 + 0*g**4 - 3*g**4) + g**4 + 3*g**4 - 10*g**4 in the form y*g**4 + p*g**2 + j + o*g + i*g**3 and give y. 5 Rearrange (-2*s**2 - 2*s + 2*s)*(852*s + 21013*s + 34938*s + 10625*s) to j*s**2 + y*s + n*s**3 + x and give n. -134856 Rearrange -63*z + 691 - 691 + (2*z - 5*z + 2*z + z + z - 3*z + (-4 + 2 + 0)*(-5*z + 3*z + 3*z))*(1 + 3 - 6) to the form h + m*z and give h. 0 Rearrange (23*k**2 - 4*k**2 + 20*k**2)*(13*k**2 + 59*k**2 + k**2 + (5 - 1 - 2)*(-k + k - 2*k**2)) to the form f + b*k + i*k**2 + y*k**3 + w*k**4 and give w. 2691 Express -4*q**3 - 13 - q**3 + 9*q**4 + 6*q**3 + 108*q**4 + 67*q**4 as x*q**3 + n + o*q**2 + d*q**4 + j*q and give d. 184 Express -5 - h**4 + h**2 - 225*h**3 + 38*h**3 + 3 as x*h**4 + d*h**2 + p + k*h**3 + q*h and give p. -2 Express (4923 - 1773 + 7166 + 1492)*(0 - 1 + 3)*(-1 + 2 + 0)*(l + 2*l + 0*l) in the form x*l + k and give x. 70848 Express (0 + l + 0 + 1 - 1 - 2*l + (-3*l + 4*l - 2*l)*(-3 + 0 + 5) + l - 4*l + 4*l - 2 - l + 2)*(7725 - 2713 + 1226) as r + y*l and give y. -18714 Rearrange -4*a**3 - 2 - 2*a**2 - 2710*a + 2688*a + 2*a**4 - a**3 to x*a + m*a**4 + b*a**2 + o + z*a**3 and give m. 2 Express -93*x**2 + 87*x**2 - 165 + 7*x**2 + 38 - 5*x**3 as d + l*x**2 + v*x + i*x**3 and give i. -5 Express -119700*u**2 + u + 119700*u**2 + u**3 - 414 + (-4*u**2 - 2*u**2 + 4*u**2)*(-4*u + 17*u - 3*u) as y*u**2 + g*u**3 + t + x*u and give g. -19 Express -5*n**2 - 136*n + 21 + 19 + n**3 - 20 + 138*n as t + f*n**2 + p*n + b*n**3 and give f. -5 Rearrange (-24*s**2 + s**3 + 24*s**2)*(-s + s - 2*s)*(-2063 - 878 + 3666) to y + d*s**4 + q*s**3 + l*s**2 + z*s and give d. -1450 Express 2 + 2*a**3 + 104*a**2 - 2*a**4 + 766*a - 2 + 0 - 769*a in the form x*a + f*a**4 + q*a**2 + n*a**3 + r and give x. -3 Rearrange 3*r**2 + 2006 - 4*r**2 + 2046 + 2*r - 4006 - 12*r**3 to the form k*r**2 + t*r + o + n*r**3 and give k. -1 Rearrange 0*c**2 - 4*c**2 - c + 42*c**4 - 323 + 2*c**2 - 22*c**4 - 21*c**4 + 2*c**3 to p*c + r*c**4 + n*c**3 + q + s*c**2 and give n. 2 Express 63 - 6611*v - v**2 + 13243*v - 6627*v in the form m*v + r + c*v**2 and give m. 5 Rearrange -100*r - 12 - 310*r + 70*r to the form j*r + a and give a. -12 Express 15553*g**3 + 8*g**2 - 10*g**2 - 15551*g**3 - 94*g - 2*g**2 as n*g**2 + w*g**3 + v + r*g and give r. -94 Rearrange 3*t**2 - 702*t - 718*t + 1 + 1277*t to the form v*t + d + a*t**2 and give a. 3 Rearrange 0*c + 0*c - c + (4 + 2 - 4)*(-3*c + 3*c + 2*c) - 2*c - 1 + 1 + 3*c - c + 0*c + (2*c + 0*c + 815 - 782)*(-3 + 11 - 10) to the form b*c + a and give b. -1 Express -37*t - 12 + 18 - 2 + 7 - 62*t as f + w*t and give f. 11 Express -19838*d**2 + 9915*d**2 + 0*d + 21*d**3 - d - 5 - 4*d**4 + 9924*d**2 in the form y + m*d**2 + k*d**4 + f*d**3 + g*d and give g. -1 Express 2*q**3 - 13*q**2 + 5*q**2 - 7*q**2 + 171 + 3*q + 7*q**2 + 6*q**2 as y + v*q**2 + j*q**3 + f*q and give v. -2 Express 85 - 6590*f - 38 - 47 as h + o*f and give o. -6590 Express (4*o + 0*o + 0*o)*(687 + 297 + 699 + 30) + 2*o + 0 + 0 + (1 + 4 - 3)*(-3*o + 0*o + o) in the form f*o + q and give f. 6850 Rearrange (-1859*m + 393 + 919*m + 937*m)*(3*m + 2*m - 3*m) to the form d*m + c + z*m**2 and give d. 786 Express 9*v**2 + 17 - 17 + (6*v + 2*v - v)*(-3*v + 15*v + 17*v) as y + b*v**2 + u*v and give b. 212 Express -9 + 2 + 6 + 14*t**2 + 72*t**2 in the form r*t + i*t**2 + m and give i. 86 Express 514182*v**2 - 7 - 514186*v**2 - v**3 + 3*v**3 - 2*v**4 + 2*v as d*v**
{ "pile_set_name": "DM Mathematics" }
. Determine j(u(w)). -15*w**2 Let r(s) = 6085547 - 6085547 - 53*s. Let k(t) = t**2. Determine r(k(b)). -53*b**2 Let t(h) = 12*h. Let d(s) = -6*s - 5. Let a(l) = 35*l - 5. Let b(u) = -a(u) - 6*d(u). Calculate t(b(x)). 12*x + 420 Let d(r) = 17498*r**2. Let a(f) = -8*f + 2. Let n(o) = -10*o + 2. Let q(i) = -a(i) + n(i). Give q(d(p)). -34996*p**2 Let o(y) = -9*y. Let b(x) = 14*x + 821 - 817 - 15*x. What is b(o(d))? 9*d + 4 Let q(k) be the third derivative of -k**5/6 - 2933*k**2 + 1. Let g(n) = -543*n. What is q(g(d))? -2948490*d**2 Let i(j) = -37. Let s(r) = -r - 1. Let p(o) = i(o) - 37*s(o). Let d(t) be the first derivative of -t**3/3 - 20. What is d(p(u))? -1369*u**2 Let q(k) = 397*k - 13494. Let d(c) = c. Calculate d(q(l)). 397*l - 13494 Let d(i) = 4*i**2. Suppose 3 = -3*q - 6, -q - 26 = -o. Let j = -18 + o. Let n(x) = -1 + 1 + 7*x**2 - j*x**2. What is n(d(h))? 32*h**4 Let u(s) be the second derivative of 58*s**4/3 + 7053*s. Let y(z) = -11*z. What is y(u(f))? -2552*f**2 Let g(y) = -y + 115. Let z(k) = -81*k**2 - 8*k + 8. Let v(s) = 213*s**2 + 21*s - 21. Let m(j) = 8*v(j) + 21*z(j). Give g(m(h)). -3*h**2 + 115 Let b(s) = -976*s**2. Let t(x) = -16648 + 8328 + 8320 - 2*x**2. Calculate t(b(w)). -1905152*w**4 Let q(g) = -177*g + 5. Let i(b) = -b**2. What is i(q(n))? -31329*n**2 + 1770*n - 25 Let v(a) = -14*a**2 - 2. Let q(g) = 205*g - 9. What is q(v(k))? -2870*k**2 - 419 Let s(i) = -397729524*i. Let d(n) = -3*n. What is s(d(x))? 1193188572*x Suppose 524 = 8*n + 36. Let y(h) = -51*h**2 + n*h**2 - 36*h**2. Let f(j) = -2*j. Let k(o) = -o. Let x(w) = 2*f(w) - 3*k(w). Calculate x(y(q)). 26*q**2 Let s(t) = 4*t**2 + 8*t. Let l = -55 + 803. Let h(k) = 748 + k - l. Give s(h(q)). 4*q**2 + 8*q Let k(g) = -3*g**2 - g - 7. Let q(n) = n**2 + n + 7. Let f(m) = -k(m) - q(m). Let c(h) = -h + 108. What is f(c(l))? 2*l**2 - 432*l + 23328 Let w(q) = -6*q**2. Let o(r) = -3*r**2 + 2291*r - 25. Give o(w(n)). -108*n**4 - 13746*n**2 - 25 Let a(v) = 367*v**2 + 33*v - 8. Let n(s) = 3*s**2. Calculate a(n(u)). 3303*u**4 + 99*u**2 - 8 Let k(q) = -396*q + 768 - 254 - 258 - 256. Let n(z) = z. What is n(k(v))? -396*v Let k(n) = -12*n**2. Let l(p) = 601*p**2 + 573*p**2 + 226*p**2. Determine l(k(o)). 201600*o**4 Let a(v) = 4*v + 50. Let o be a(-11). Let g(q) = -3*q - 12*q + 7*q + o*q. Let z(f) = 29*f**2. Calculate z(g(t)). 116*t**2 Let a(m) = -13*m**2 - 30*m**2 + 95*m**2 - 31*m**2 - 23*m**2. Let z(b) = 0*b - 20*b + 0*b - 9*b + 1. Calculate z(a(c)). 58*c**2 + 1 Let d(a) = a**2. Let b = 45 - 42. Let l(t) = 1176*t. Let u(s) = 62*s. Suppose 0 = -478*f + 481*f + 168. Let q(v) = b*l(v) + f*u(v). Calculate q(d(m)). 56*m**2 Let x = -11888 + 11888. Let v(t) be the third derivative of 0 + 5*t**2 + 1/20*t**5 + x*t**3 + 0*t + 0*t**4. Let a(z) = -20*z**2. Give v(a(m)). 1200*m**4 Let c(s) = -29 - 3 - 10 + 1238*s**2 + 42. Let q(f) = f**2. Calculate c(q(z)). 1238*z**4 Let q(j) = 2*j**2 + j. Let z(k) = -57*k + 15. What is q(z(d))? 6498*d**2 - 3477*d + 465 Let p(k) = 23*k. Let n(l) = -2*l**2 + 40017*l. Calculate p(n(w)). -46*w**2 + 920391*w Let n(a) = 47*a**2 - 3*a**2 - 47*a**2 + 4*a**2. Let y(j) = -16*j - 68. Calculate y(n(d)). -16*d**2 - 68 Let s(h) = -19*h**2. Let l = -78 + 80. Suppose 3*u - 142 = -l*b, 5*u + b - 169 - 70 = 0. Let y(z) = 48*z + z**2 - u*z. Determine y(s(j)). 361*j**4 Let z(q) = -7013*q. Let f(s) = -818*s**2. Give z(f(i)). 5736634*i**2 Let q(j) = -3*j - 8. Let a(r) = -5*r**2 - 4*r - 2. Let h(l) = -85*l**2 - 70*l - 35. Let w(d) = -105*a(d) + 6*h(d). Calculate w(q(m)). 135*m**2 + 720*m + 960 Let z(u) be the first derivative of u**2 + 21*u + 48824. Let t(g) = 3*g + 2*g - 6*g. Give z(t(b)). -2*b + 21 Let h(c) = 21*c. Let b be (16/(-6))/(44/66)*-1. Let q(s) = -s + 0*s - 4*s + b*s. Determine h(q(o)). -21*o Let n(y) = -427*y. Let s(p) = 5*p + 71. What is s(n(i))? -2135*i + 71 Let s(l) = 145*l**2. Let u = 472 + -468. Let n(q) = q**2 + 2*q - 2. Let z(d) = -3*d**2 - 8*d + 8. Let v(m) = u*n(m) + z(m). What is s(v(a))? 145*a**4 Let k(i) = -72207*i**2. Let z(a) = 1415*a. What is z(k(m))? -102172905*m**2 Let y(w) = 4*w**2. Let p(o) be the third derivative of -o**7/840 - 73*o**4/24 + 68*o**2. Let j(n) be the second derivative of p(n). Give j(y(x)). -48*x**4 Let s(o) be the third derivative of 13*o**5/15 - 2*o**2. Let g(j) = 6*j - 4*j**2 + 103*j + 3*j**2 - 109*j. Determine g(s(c)). -2704*c**4 Let n(h) be the first derivative of 14*h**3/3 - 1. Suppose 0 = -3*c + 4*c - 3*c. Let f(u) = 0 - 13*u + c + 12*u. Calculate n(f(d)). 14*d**2 Let k(t) = 111*t. Let o(b) = 92*b - 1. Let j(g) = 284*g - 3. Let z(q) = -4*j(q) + 13*o(q). Give k(z(x)). 6660*x - 111 Let t(o) = 3*o**2. Let w(s) = s**2 - 23*s + 92. Let j be w(18). Let n(u) = -3*u + 7623*u**j - u - 7628*u**2. Give t(n(m)). 75*m**4 + 120*m**3 + 48*m**2 Let c(i) = -6*i**2. Let f(l) = -l - 2. Let b(s) = -14*s - 4. Let y(o) = -13*o - 6. Let k(z) = -3*b(z) + 4*y(z). Let w(p) = -6*f(p) + k(p). What is w(c(v))? 24*v**2 Let c(l) = 106*l. Let g(r) = -206673*r. What is c(g(x))? -21907338*x Let r(s) = -240*s**2 - 218*s**2 + 397*s**2. Let t(y) = -26*y. Calculate r(t(v)). -41236*v**2 Let j(a) = -379700*a**2 + 1. Let f(o) = -7*o. What is j(f(s))? -18605300*s**2 + 1 Let y(u) = -2*u**2. Let i(c) = 2*c + 976816. Calculate i(y(t)). -4*t**2 + 976816 Let k(h) = -111*h + 1. Let b(c) = -5368*c + 311. Give b(k(g)). 595848*g - 5057 Let u(c) = -10*c - 2. Let s = 417 - 356. Let h(x) = -72 + 133 + 3*x - s. What is u(h(a))? -30*a - 2 Let d(z) be the third derivative of 14*z**2 + 0*z**4 + 0*z**3 + 0*z - 17/60*z**5 + 0. Let y(b) = -24*b**2 + 33*b**2 - 11*b**2. What is d(y(p))? -68*p**4 Let h(x) = -9*x**2 + 21*x - 7. Suppose 378*v - 372*v = -42. Let s(d) = 6*d**2 - 15*d + 5. Let z(y) = v*s(y) - 5*h(y). Let m(i) = i**2 + 13. What is z(m(f))? 3*f**4 + 78*f**2 + 507 Let t(a) = -29197762*a**2. Let u(v) = -3*v. Calculate u(t(r)). 87593286*r**2 Let s(m) = m - 1. Let z(t) = 45*t - 36. Let k(w) = -180*s(w) + 5*z(w). Let y(n) be the first derivative of 78*n**2 - 49 - 77*n**2 - 26. Calculate y(k(d)). 90*d Let w(c) = -7*c + 3450. Let f(o) = -71*o. What is f(w(l))? 497*l - 244950 Let n(d) = 3907*d + 3910*d + 3900*d - 11730*d. Let j(r) = -3*r**2 - 116*r. Give j(n(g)). -507*g**2 + 1508*g Let j(a) = -5*a - 50. Let s(f) = 2*f + 27. Let i(o) = 3*j(o) + 7*s(o). Let v(y) = -5*y. Calculate v(i(t)). 5*t - 195 Let b(m) = 37*m + 35*m + 36 + 19*m + 9*m - 20*m. Let z(s) = s**2. Calculate z(b(f)). 6400*f**2 + 5760*f + 1296 Let j(b) = b. Suppose -3*g - 8 = g, -w = -g - 117. Let t = 183 - w. Let s(n) = t*n - 39*n - 33*n. What is j(s(x))? -4*x Let k(w) = -w. Let h(m) = 66527098*m. Determine h(k(b)). -66527098*b Let o(x) be the first derivative of 5*x - 69 + 0*x**2 + 19/3*x**3. Let m(l) = 2*l. What is o(m(r))? 76*r**2 + 5 Let g(j) = j**2. Let o(q) = 4654*q + 286. Let r(u) be the third derivative of 49*u**4/24 + u**3/2 - 21*u**2 + 3*u. Let x(w) = 6*o(w) - 572*r(w). Give x(g(t)). -104*t**2 Let h(g) = -3*g. Let s(v) = 22*v + 6. Let f(k) = -882*k - 246. Let q(b) = -b - 2. Let n(d) = f(d) - 2*q(d). Let y(r) = -6*n(r) - 242*s(r). Calculate h(y(i)). 132*i Let l(v) = -v. Let s(z) be the first derivative of 0*z + 15/2*z**2 - 76. Give l(s(q)). -15*q Let d(j) = -74*j - 89. Let o(x) = -36*x - 36. Let y(r) = 2*d(r) - 5*o(r). Let n(h) = -14*h**2. What is n(y(v))? -14336*v**2 - 1792*v - 56 Let j(s) = -108*s**2. Let d(x) be the first derivative of -38*x**3/3 - 2887. Determine d(j(v)). -443232*v**4 Let h(k) = 262850*k + 56. Let l(j) = 4*j. What is l(h(q))? 1051400*q + 224 Let y(q) = -2*q - 13. Let n(z) be the second derivative of -59*z**3/3 + 1580*z. Give y(n(b)). 236*b - 13 Let i(y) = 58*y**2 - 13*y + 338. Let l(v) = 28*v**2 - 6*v + 156. Let r(p) = 6*i(p) - 13*l(p). Let g(c) = -114*c**2. Give g(r(b)). -29184*b**4 Let o(n) = -11*n + 7. Let p(h) = 88*h - 55. Let c(b) = -55*o(b) - 7*p(b). Let y(w) be the third derivative of w**4/8 - w**2 - 14*w. Give c(y(k)). -33*k Let u(w) = 754*w + 803*w - 1568*w. Let f(i) = -137*i**2 + 2*i. Give u(f(k)). 1507*k**2 - 22*k Let n(d) = 10184*d**2. Let h(l) = -169*l**2 - l. Determine h(n(y)). -17527641664*y**4 - 10184*y**2 Let m(c) = -4*c**2. Let d(o) = -o - 647. Let w(u) = -242. Let x(y) = d(y) - 2*w(y). Calculate x(m(g)). 4*g**2 - 163 Let s(m) = -1060848580*m**2. Let d(a) = 2*a**2. Calculate d(s
{ "pile_set_name": "DM Mathematics" }
What is the hundred millions digit of 6430539992? 4 What is the thousands digit of 1677740854? 0 What is the millions digit of 51488613? 1 What is the thousands digit of 706039248? 9 What is the units digit of 46056610? 0 What is the millions digit of 177884346? 7 What is the millions digit of 47820602? 7 What is the thousands digit of 26624040? 4 What is the hundreds digit of 28445123? 1 What is the hundred thousands digit of 36779383? 7 What is the hundreds digit of 3792210299? 2 What is the thousands digit of 22100806? 0 What is the thousands digit of 97772134? 2 What is the billions digit of 4231731614? 4 What is the hundred millions digit of 681862161? 6 What is the ten thousands digit of 390201371? 0 What is the units digit of 205724535? 5 What is the hundred millions digit of 968388831? 9 What is the thousands digit of 335830109? 0 What is the units digit of 1908020702? 2 What is the hundred thousands digit of 18251246? 2 What is the hundred millions digit of 2978780079? 9 What is the hundred millions digit of 1930505355? 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3 What is the hundred millions digit of 904648332? 9 What is the hundreds digit of 197709661? 6 What is the hundred millions digit of 206293496? 2 What is the millions digit of 200031438? 0 What is the hundred thousands digit of 92085513? 0 What is the ten thousands digit of 1822044005? 4 What is the hundreds digit of 6312487? 4 What is the tens digit of 162235595? 9 What is the millions digit of 747856261? 7 What is the units digit of 5180051313? 3 What is the hundred thousands digit of 995312919? 3 What is the hundred millions digit of 2586582493? 5 What is the hundred thousands digit of 94432120? 4 What is the units digit of 4023780809? 9 What is the thousands digit of 5188480110? 0 What is the tens digit of 198755014? 1 What is the hundreds digit of 22282299? 2 What is the tens digit of 6002607797? 9 What is the hundreds digit of 22905891? 8 What is the hundred millions digit of 249909498? 2 What is the tens digit of 237602850? 5 What is the hundred thousands digit of 1567116466? 1 What is the hundreds digit of 5490770620? 6 What is the units digit of 10773571? 1 What is the billions digit of 4960515690? 4 What is the hundred thousands digit of 2357057450? 0 What is the tens digit of 112855390? 9 What is the hundred thousands digit of 24622751? 6 What is the tens digit of 778550346? 4 What is the hundreds digit of 315425596? 5 What is the units digit of 157022181? 1 What is the hundred thousands digit of 229281200? 2 What is the millions digit of 11544837? 1 What is the units digit of 1953683979? 9 What is the units digit of 76094146? 6 What is the tens digit of 58097716? 1 What is the ten millions digit of 167765044? 6 What is the hundred thousands digit of 2090298859? 2 What is the thousands digit of 1705301277? 1 What is the thousands digit of 9049590? 9 What is the tens digit of 1617443044? 4 What is the thousands digit of 6197688? 7 What is the hundreds digit of 11238809? 8 What is the millions digit of 4069474993? 9 What is the thousands digit of 55998055? 8 What is the ten
{ "pile_set_name": "DM Mathematics" }
picking 1 h, 1 a, and 1 c? 1/14 Three letters picked without replacement from {z: 2, r: 1, b: 1, m: 2, c: 1}. Give prob of picking 1 b, 1 c, and 1 m. 2/35 What is prob of picking 3 v and 1 h when four letters picked without replacement from {r: 6, h: 7, v: 6}? 35/969 What is prob of picking 3 x and 1 u when four letters picked without replacement from {x: 10, u: 9}? 90/323 What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 2, r: 1, p: 3, s: 12, g: 2}? 2/95 What is prob of picking 1 m, 1 n, and 1 p when three letters picked without replacement from {n: 2, m: 1, w: 4, s: 1, p: 1}? 1/42 What is prob of picking 1 x and 1 g when two letters picked without replacement from semxssgsggmmg? 2/39 Two letters picked without replacement from zzdw. What is prob of picking 1 z and 1 w? 1/3 Three letters picked without replacement from jjzjzzjzzz. Give prob of picking 3 j. 1/30 What is prob of picking 1 t and 1 l when two letters picked without replacement from {l: 1, t: 11}? 1/6 Two letters picked without replacement from ffmgggfxmmmfmmf. Give prob of picking 2 g. 1/35 Calculate prob of picking 1 s, 1 d, and 2 m when four letters picked without replacement from {m: 4, y: 1, s: 3, d: 2}. 6/35 Calculate prob of picking 1 j and 2 q when three letters picked without replacement from qjqjqgwwjqw. 6/55 What is prob of picking 1 j and 2 g when three letters picked without replacement from {g: 3, z: 4, j: 1}? 3/56 Calculate prob of picking 1 y and 3 l when four letters picked without replacement from {y: 4, z: 1, e: 8, l: 7}. 28/969 What is prob of picking 1 c and 3 p when four letters picked without replacement from uppucuucuupuupccpup? 20/969 Two letters picked without replacement from {s: 2, w: 4, j: 4}. What is prob of picking 1 j and 1 w? 16/45 What is prob of picking 3 n when three letters picked without replacement from nbpgeyng? 0 What is prob of picking 1 p and 1 e when two letters picked without replacement from {e: 3, w: 1, p: 1, x: 1, j: 1}? 1/7 Calculate prob of picking 2 e and 1 d when three letters picked without replacement from emdemd. 1/10 Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {j: 1, i: 1, g: 2, s: 1}. 1/10 Four letters picked without replacement from {r: 7}. What is prob of picking 4 r? 1 What is prob of picking 1 u, 1 k, and 1 i when three letters picked without replacement from iuikkkiiiuiikiuiu? 18/85 Four letters picked without replacement from ktuttuu. What is prob of picking 2 t, 1 u, and 1 k? 9/35 What is prob of picking 3 d when three letters picked without replacement from {d: 5, m: 8, v: 7}? 1/114 Four letters picked without replacement from ayayyaaayyyaaaayaaa. Give prob of picking 4 y. 35/3876 What is prob of picking 1 h, 1 w, and 1 z when three letters picked without replacement from ipwhzwpwwhp? 8/165 Three letters picked without replacement from {n: 5, d: 9}. What is prob of picking 3 n? 5/182 Two letters picked without replacement from {m: 6, x: 4}. Give prob of picking 2 x. 2/15 Two letters picked without replacement from iiiiiieiiipipeipie. Give prob of picking 2 p. 1/51 Four letters picked without replacement from iiiaihaai. Give prob of picking 1 a and 3 i. 5/21 What is prob of picking 2 j when two letters picked without replacement from {j: 2, s: 2}? 1/6 Calculate prob of picking 1 i and 2 s when three letters picked without replacement from mgmseeseebeieemggm. 1/816 Calculate prob of picking 2 f, 1 e, and 1 z when four letters picked without replacement from zfzeffzf. 9/35 Two letters picked without replacement from rrrrxrlxxxnrcrxrx. Give prob of picking 1 n and 1 c. 1/136 Two letters picked without replacement from zmwxzzxxxzxzmzxxzzxz. Give prob of picking 2 x. 14/95 Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, p: 1, h: 5, b: 7}. 10/153 Four letters picked without replacement from {y: 6, r: 2, j: 7}. What is prob of picking 2 r and 2 j? 1/65 Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {x: 4, o: 7, i: 5}. 3/16 What is prob of picking 1 e and 2 i when three letters picked without replacement from {j: 1, i: 8, f: 4, y: 1, e: 2, r: 4}? 14/285 Three letters picked without replacement from {v: 15, t: 3}. Give prob of picking 1 v and 2 t. 15/272 Calculate prob of picking 1 p, 1 l, 1 t, and 1 h when four letters picked without replacement from {l: 7, p: 4, t: 8, h: 1}. 224/4845 Three letters picked without replacement from {m: 4, r: 2, n: 1, a: 2}. Give prob of picking 1 n and 2 m. 1/14 What is prob of picking 1 q and 1 v when two letters picked without replacement from {q: 5, v: 11}? 11/24 Four letters picked without replacement from kdkxqxkkqddkdxx. What is prob of picking 4 x? 1/1365 Three letters picked without replacement from {q: 3, a: 4}. Give prob of picking 2 q and 1 a. 12/35 Calculate prob of picking 1 h and 1 z when two letters picked without replacement from huzzuhuh. 3/14 Two letters picked without replacement from rprrppprpprppp. What is prob of picking 2 p? 36/91 Three letters picked without replacement from {x: 1, n: 2}. Give prob of picking 1 x and 2 n. 1 Two letters picked without replacement from {l: 2, p: 3, b: 2, w: 4}. Give prob of picking 1 l and 1 b. 4/55 What is prob of picking 1 i and 1 l when two letters picked without replacement from xvrbixxlrbr? 1/55 Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {g: 7, x: 3}. 7/15 Three letters picked without replacement from dvgvgggvdvgv. What is prob of picking 2 v and 1 g? 5/22 Calculate prob of picking 1 s and 3 t when four letters picked without replacement from {d: 1, s: 1, t: 6, k: 1, i: 2, c: 4}. 4/273 Two letters picked without replacement from {h: 1, v: 7, g: 4, q: 4, e: 1, i: 1}. What is prob of picking 1 g and 1 q? 16/153 What is prob of picking 2 g, 1 y, and 1 k when four letters picked without replacement from {p: 3, g: 6, y: 1, k: 2}? 2/33 Three letters picked without replacement from vuuyyuumuvpuppuvvv. Give prob of picking 1 p and 2 u. 21/272 What is prob of picking 2 h when two letters picked without replacement from hkhhhaaahoahaaa? 1/7 Four letters picked without replacement from {c: 2, e: 1, d: 14}. What is prob of picking 2 c, 1 d, and 1 e? 1/170 What is prob of picking 4 l when four letters picked without replacement from iiiililllili? 1/99 Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {v: 14, o: 5}. 455/969 Calculate prob of picking 1 o and 1 z when two letters picked without replacement from ogzg. 1/6 Two letters picked without replacement from llllllplllillliillll. Give prob of picking 1 l and 1 i. 24/95 Calculate prob of picking 1 e and 1 c when two letters picked without replacement from cce. 2/3 Two letters picked without replacement from ftfttftfcgt. Give prob of picking 1 c and 1 g. 1/55 Three letters picked without replacement from aeeaeeeeeaaeegag. What is prob of picking 3 e? 3/20 What is prob of picking 2 g and 1 q when three letters picked without replacement from {q: 2, g: 2}? 1/2 Three letters picked without replacement from {t: 1, s: 3, f: 3}. What is prob of picking 1 f and 2 s? 9/35 Three letters picked without replacement from {a: 7, r: 3, e: 2}. Give prob of picking 3 a. 7/44 Calculate prob of picking 1 k, 1 f, 1 l, and 1 t when four letters picked without replacement from {f: 4, l: 4, z: 3, v: 1, t: 2, k: 1}. 32/1365 Four letters picked without replacement from {k: 2, v: 8, z: 8}. Give prob of picking 1 v and 3 z. 112/765 What is prob of picking 2 s when two letters picked without replacement from {q: 3, s: 4}? 2/7 What is prob of picking 4 m when four letters picked without replacement from {m: 5}? 1 Four letters picked without replacement from {n: 3, v: 3}. Give prob of picking 1 v and 3 n. 1/5 Two letters picked without replacement from {v: 3, u: 4, a: 1, f: 5, j: 3, m: 1}. What is prob of picking 1 v and 1 u? 3/34 What is prob of picking 1 m, 1 y, and 1 j when three letters picked without replacement from wyymyjjwmayyymjj? 9/70 Two letters picked without replacement from vbvbbbcbc. What is prob of picking 1 c and 1 v? 1/9 Two letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
ded by v(5). 4 Let k(h) = h**2 + h + 4. Let l be k(0). Suppose 5*v + 3*u - 96 = v, 16 = -4*u. What is the remainder when v is divided by (2/l)/((-3)/(-42))? 6 Let p = -1057 - -1464. What is the remainder when p is divided by 23? 16 Let o = 10 + 4. What is the remainder when 36 is divided by o? 8 Let y = -7 + 3. Let b(u) = -u**2 - 5*u + 1. Let v be b(y). Suppose -2*q = -v*q + 12. Calculate the remainder when q is divided by 3. 1 Let c(a) = -a**3 + 9*a**2 + a + 1. Let b(d) = 5*d**2 - 3*d**2 + 4*d**2 - 2*d**2 - 2 - 2*d. Calculate the remainder when b(3) is divided by c(9). 8 What is the remainder when 69 is divided by -21*(-6 - 210/(-49))? 33 Let v(h) = 4*h**3 + 2*h**2 + 3*h - 4. Let j be v(3). Calculate the remainder when 3/(-6) - 375/(-6) is divided by j/4 + (-18)/24. 30 Suppose 3*v = 5*y + 174, -4*v + 88 = -3*y - 155. What is the remainder when v is divided by 13? 11 Let q = -183 - -207. Calculate the remainder when 66 is divided by q. 18 Suppose 7*y = -2*y + 27. Suppose 4*g - 2*g + 226 = y*c, 4 = -2*g. What is the remainder when c is divided by 15? 14 Suppose -4*n = -118*n + 798. What is the remainder when n is divided by 55/15 + 2/(-3)? 1 Let h be 1/(-1)*(-2 + 3 + -1). Suppose h = 16*u + 2 - 146. Calculate the remainder when 14 is divided by u. 5 Let o = -2 + 7. Suppose -4*d = 3*p - 252, 12 = o*p - 2*p. Suppose -4*l = -3*u + d, 4*u + 4*l - 70 = -18. What is the remainder when u is divided by 6? 4 Suppose 19*r - 3*r = 432. Let o(s) = -4*s**3 - 2*s**2 - 2*s - 4. Let v be o(-3). Let a = v + -40. What is the remainder when a is divided by r? 25 Let d = 1083 - 1041. What is the remainder when d is divided by 34? 8 Let h(v) = -4*v + 24. Let o be h(-15). Suppose g + 2*g = -5*i + 82, -5*i = g - o. Calculate the remainder when 100 is divided by i. 15 Let v(h) = -2*h + 1. Let o be v(1). What is the remainder when (3/(0 + (-4)/(-10)))/(11397/15196) is divided by 1 + 0 + (o - -6)? 4 Let h(m) = 5*m + 13. What is the remainder when 115 is divided by h(0)? 11 Let z = 435 + -426. What is the remainder when (15/(-10))/((-3)/160) is divided by z? 8 Suppose 0 = 2*n + 2*l - 96, 5*n - l = n + 182. Let i = n - 26. Calculate the remainder when i is divided by 11. 9 Let i = 15 + 18. Suppose 6*v = 3*v + i. What is the remainder when 52 is divided by v? 8 Let i = 678 + -654. What is the remainder when 29 is divided by i? 5 Let u = 27 + -26. Let h(v) = 20*v**3 - 1. Calculate the remainder when 56 is divided by h(u). 18 Let g = 65 + -108. Let q = -33 - g. Suppose -2*d - q = -2*h - 0*h, 3*d - 33 = -5*h. What is the remainder when h is divided by 3? 0 Let b = 67 - 53. What is the remainder when 51 is divided by b? 9 Calculate the remainder when 4/(-14) - (-5556)/126*3 is divided by 2/(-9) + 2422/126. 18 Suppose 15*r = 66 + 39. What is the remainder when 54 is divided by r? 5 Suppose 0 = -4*d - 4*k + 128, -3*d + 6*d + 2*k = 101. Let b = 71 - d. Let r(i) = 6*i**2 + i. What is the remainder when b is divided by r(-1)? 4 Calculate the remainder when ((-144)/(-27))/(3/18) is divided by 23. 9 Let h(q) = -q**2 - 5*q + 8. Let c be h(-6). Calculate the remainder when 30 is divided by c/7 + 117/7. 13 Let g be (-3)/((-9)/12 + 66/104). Suppose 5*d + g = 71. Calculate the remainder when 60 is divided by d. 6 Let i = 17 + 10. Let q = 5 + 5. Calculate the remainder when i is divided by q. 7 Suppose s + 2 = -4*d, s - 12 = 2*s + 2*d. Let w(m) = -10*m**3 - 6*m**2 - 6. Let z be w(-2). Let o = z + s. Calculate the remainder when 110 is divided by o. 26 Suppose 0 = -4*l - 5*q + 16 + 159, -4*l - 4*q + 172 = 0. Calculate the remainder when 73 is divided by l. 33 Let d(f) = f**2 - 3*f - 21. Let o = 0 + 9. What is the remainder when 161 is divided by d(o)? 29 Suppose -2*p - 34 = -36, 4*o = 4*p + 488. Calculate the remainder when o is divided by ((-4)/(-6))/((-4)/(-186)). 30 Let n(b) = -b**2 - 7*b + 13. Let u(v) = v**3 - 2*v**2 - 4*v - 3. Let g be u(4). Let z = g - 20. What is the remainder when n(z) is divided by 8? 5 Let c = 62 - 50. Suppose 0*k = -5*k + 70. Calculate the remainder when k is divided by c. 2 Suppose -82*o = -25522 - 27204. What is the remainder when o is divided by 43? 41 Let c(y) = -y + 3. Let t be c(5). Suppose -2*j + 4*d + 36 = 0, j - 5*j + 22 = 2*d. Calculate the remainder when (42/(-4))/(t/4) is divided by j. 5 Calculate the remainder when 117 is divided by (-2570)/(-170) - (-4)/(-34). 12 Let f = -2 + 5. Suppose 2*c - k = -c + 77, 2*k = -f*c + 62. Calculate the remainder when 91 is divided by c. 19 Suppose -3*l = z - 71, 5*l - 5*z - 80 = 5. Let w = 127 - -2. Suppose 5*h - w = 86. What is the remainder when h is divided by l? 21 Let u(t) = -42*t - 293. Calculate the remainder when u(-9) is divided by 29. 27 Let u = 343 + -161. Let n = u + -37. Calculate the remainder when n is divided by 37. 34 Suppose -7*g = -2*g + 3*j - 39, -5*g + 2*j + 24 = 0. Calculate the remainder when 32 is divided by g. 2 Suppose -p + 108 + 43 = 5*y, 0 = 4*p + 16. What is the remainder when 90 is divided by y? 28 Let d(g) = -g**3 + 9*g**2 - 7*g + 2. Let u be d(6). Suppose -40 = -12*s + 8*s. What is the remainder when 1/(-2*(-2)/u) is divided by s? 7 Let d(f) = -f**3 - 9*f**2 - 17*f - 9. Let s be d(-7). Let i = s + 2. Calculate the remainder when 27 is divided by i. 13 Suppose 4*j - 4 = 0, 19 + 39 = y + 4*j. Calculate the remainder when y is divided by 31. 23 Let h(n) = 28*n**3 - 2*n**2 + 1. Let g be h(1). Let y = 9 - -25. Calculate the remainder when y is divided by (50/(-150))/((-1)/g - 0). 7 Let l = -3 - -5. Suppose 0*u = -a - l*u + 5, -a - 2 = -5*u. Suppose -i + 44 = a*i. What is the remainder when 20 is divided by i? 9 Suppose 7*v - 2*v = 0. Calculate the remainder when 107 is divided by ((-3)/6 - 0)*(-74 - v). 33 Let q(c) be the second derivative of c**4/12 + 5*c**3/6 + 3*c**2/2 - 6*c. Calculate the remainder when 78 is divided by q(-8). 24 Let w(x) = 1. Let q(v) = -38*v - 5. Let r(h) = -q(h) - 5*w(h). What is the remainder when r(1) is divided by 14? 10 Let r = 30 + -1. Let s(v) = -10*v - 3. Let b be s(-3). Suppose -b - 33 = -4*f. Calculate the remainder when r is divided by f. 14 Suppose 0 = 2*k - 4*s - 88, -263 = -5*k + s - 52. Calculate the remainder when 544 is divided by k. 40 Let j(r) = -r**3 + r**2 + 41. Let w be (2/10*0)/(-2). Suppose w = 10*q - 93 - 47. Calculate the remainder when j(0) is divided by q. 13 Let p(q) = -q**2 + 26*q - 22. Let o be p(25). Suppose f + 8*k - 12*k = 39, 0 = o*k + 9. Suppose -4*x + 5 = -51. Calculate the remainder when f is divided by x. 13 Calculate the remainder when 860 is divided by (1 + 2/14)/((-186)/(-2604)). 12 Let v = 751 + -415. What is the remainder when v is divided by 57? 51 Let a(b) = -2*b**2 + 22*b - 10. Let i be a(9). Let d = i + -5. Let r = 44 - d. Calculate the remainder when 91 is divided by r. 22 Let n(b) = -b - 1. Suppose -3*y + 52 = -6*y - 5*j, 3*j = 5*y + 30. Suppose -4*c + 8 = -4. Calculate the remainder when n(y) is divided by c. 2 Let w = 8 - 6. Let a be 1*(2 + 1 + w). Suppose l = -a*j + 14, j + j - 4*l = 10. What is the remainder when 9 is divided by j? 0 Suppose -1268 = -14*z + 1546. What is the remainder when z is divided by 51? 48 Let p(c) = -c**2 + 21*c - 24. Let h be p(20). Suppose -5*y + 5*z = -20, -z + 10 = y + 4*z. Calculate the remainder when h/(-4)*36/4 is divided by y. 4 Let u(s) = -3*s - 12. Let d be u(-5). Suppose 3*a - 6 = 0, -4*a = -d*f - a + 75. What is the remainder when 106 is divided by f? 25 Suppose 329 - 2885 = -12*a. Calculate the remainder when a is divided by 56. 45 Let j(k) = 2*k - 1. Let a = 77 - 56. Suppose 2*r + 3*u + a = 5*r, -5*u = r - 7. Calculate the remainder when j(7) is divided by r. 6 Suppose 130 = z + 3*c, c + 450 = 5*z - 248. Suppose -q + z = -53. Calculate the remainder when q is divided by 39. 36 Let q be (8/(-10))/((-5)/225). Let w = q - 20. What is the remainder when 60 is divided by w? 12 Suppose z + 4*z + 20 = 0. Calculate the remainder when 81 is divided by 21 + (z + 4)/5. 18 Let j(l) = -9*l + 4. Let w be j(-3). Let r = w + -79. What is the remainder when -3*(1 + r/9) is divided by 5? 3 Let f = 7413 - 7396. Let r(s) = 4*s**2 - 6*s - 4. Calculate the remainder when r(5) is divided by f. 15 Suppose 145 + 77 = 2*q - 2*h, 4*q + h - 439 = 0. Calculate the remainder when (-1)/(-1) - (0 - 8)
{ "pile_set_name": "DM Mathematics" }
-14*n - 11. Is c(k) a multiple of 29? False Let s(k) = -10*k + 13. Let v be s(-9). Suppose 5*l - 122 = v. Is 14 a factor of l? False Let q(u) = -129*u + 144. Is q(-4) a multiple of 22? True Suppose -4*i = 3*j - 1384, 5*j - 462 = 4*j - i. Is j a multiple of 16? True Let r = 15 + -10. Suppose -r*y + 3*v - 23 = -171, 4*y - 2*v = 120. Does 29 divide y? False Suppose b + 0*b - 1 = 0. Is 26/8*(1 - (-3)/b) even? False Suppose 8 = -d - 2*q, 3*q + 0 = -3*d - 12. Suppose d = 2*c - 0*c - 60. Is 10 a factor of c? True Let n(j) = 11*j + 2. Let y be n(6). Let l = -16 + y. Does 16 divide l? False Let u(n) = n**2 + 16*n + 66. Let g be u(-8). Let k = -27 + -12. Does 4 divide k/(-6) - g/(-4)? False Let d(f) = -f + 9. Let q be d(5). Suppose -5*i - 3*l = -185, -250 = -5*i + q*l - 30. Does 9 divide i? False Let t(m) = -60*m**2 + 12*m - 25. Let g(p) = -15*p**2 + 3*p - 6. Let x(q) = -9*g(q) + 2*t(q). Does 11 divide x(1)? False Let n = -183 + 15. Is ((-22)/33)/(2/n) a multiple of 10? False Let h = 292 + -88. Does 6 divide h? True Let y = 6 + -2. Suppose 0 = -4*g - 5*i - 42, g - 3*i + 6 = y. Is 301/4 - 6/g a multiple of 17? False Let b = 4067 + -2282. Does 7 divide b? True Let m(w) = -14*w + 1. Let c = 15 + -22. Let o = 6 + c. Is 5 a factor of m(o)? True Let q(o) = o**3 - 4*o**2 - 4*o. Let r be q(5). Let y be 1/(-3 - (-16)/r). Suppose g = -4*h + 141, y*h + 6*g = g + 195. Is 9 a factor of h? False Let w = -9 + 11. Let c = 40 - w. Let m = c - -4. Is 14 a factor of m? True Suppose 52 = 7*g - 4. Suppose 2*x + g = 0, 1344 = 4*p + 5*x - 436. Is 15 a factor of p? True Let h(c) = c**2 - 9*c - 10. Let d be h(10). Suppose 0 = 5*y - d*y - 25. Suppose -5 = k - 4*l - 4, -y*k - 3*l = -18. Does 3 divide k? True Let d be 0 + 1/(-3) + (-362)/(-6). Does 4 divide 4*d/8*48/20? True Suppose 3*a - 17 = 2*b, -5*a - 4 = 3*b - 7. Suppose n + a = 0, -3*u + 114 = -u + 2*n. Does 17 divide u? False Let j = -4 + 14. Let q(l) = -3 + 1 + j*l + 6*l. Is 15 a factor of q(2)? True Suppose 0*c = -4*c + 740. Suppose -3*t + 5*g + c = 0, 6*t - 3*t + 2*g - 178 = 0. Is 5 a factor of t? True Let p = -30 - -66. Let b = 186 + -133. Suppose -b - p = -s. Does 13 divide s? False Suppose 3*i = 17*p - 12*p - 1613, 649 = 2*p - 5*i. Is p a multiple of 46? True Let r = 46 + -33. Suppose r = -3*c + 31. Is 5 a factor of c? False Let v(y) = -y**3 + 16*y**2 + 2*y - 14. Let x be v(16). Does 2 divide 3/(-3) - x/(-4)*2? True Let s be 4807/(-44) + 2/8. Let p = s + 233. Let t = p + -40. Does 35 divide t? False Let j = 48 - 27. Suppose -b + j = 5*f, f - b = 4*b + 25. Is 15 a factor of 1016/20 + 1/f? False Let f(o) = -2*o + 4. Let b be f(4). Let y(g) = 4*g**2 - g**2 - g - 2*g**2 + 2. Does 6 divide y(b)? False Suppose -g + 33 = 2*g. Let t(s) = -s**3 + 10*s**2 + 12*s - 9. Let x be t(g). Suppose 21 = x*f - 35. Does 5 divide f? False Suppose 22 + 6 = 2*c. Let i = c + -16. Let y(h) = 5*h**2 + 2*h + 3. Is y(i) a multiple of 6? False Suppose -7*k + 25 = -2*k. Suppose 0 = 3*f - k*z + 74, 5*f = 4*z - 0*z - 119. Is 3 a factor of (-2)/(-2*(-1)/f)? False Suppose -3*d = -0*r + 5*r - 4514, 0 = -4*r - 8. Is d a multiple of 88? False Let c be 40/25 + 4/10. Let q = -8 + 12. Suppose 0*l = 5*u - c*l - 139, -q*u = l - 106. Does 9 divide u? True Let i be -2 + (-2 + 1)*-1. Let j = -4 + i. Let c = 2 - j. Is c a multiple of 7? True Let w = -21 - -2. Let j = w - -102. Let d = -34 + j. Does 6 divide d? False Let k(a) = -a**2 - 70*a - 220. Is 7 a factor of k(-51)? True Let p(f) = 2*f - 9 + 2*f - f - 4*f. Let n be p(-15). Suppose -r - 4*w = -n - 20, 0 = 5*r + 5*w - 145. Is 5 a factor of r? True Suppose s + 3*u = 126, -25*u - 448 = -4*s - 23*u. Is s a multiple of 3? True Suppose -2 = 5*c - 7. Let d(p) = 142*p - 206*p + 120*p. Is 28 a factor of d(c)? True Suppose 0 = 3*b, 4*u - 2*b = 3*u - 26. Suppose 0 = 5*y + x + 4*x + 10, -y = -x + 6. Does 13 divide u*(-2)/(y/(-3))? True Suppose 3*i + 27 = 5*a, 5*i + 14 = -3*a + a. Suppose 2*f + a = -f, 5*f = 3*d - 119. Is 27 a factor of d? False Let l be (10/(-15))/((-6)/27). Let g(j) = 5*j**3 - 5*j**2 - 3*j + 7. Is 11 a factor of g(l)? True Suppose -745 - 515 = -5*z - g, -1008 = -4*z - 3*g. Is z a multiple of 21? True Suppose 0 = 4*y - y - 57. Suppose 0 = -5*c - y + 134. Does 23 divide c? True Let s = 100 + -9. Is s a multiple of 56? False Suppose -150*i - 108 = -159*i. Is 12 a factor of i? True Suppose 966 = -y + 5*q - 343, -q = 4*y + 5320. Let w be y/(-3) - 1 - -3. Does 15 divide 2/6 + w/15? True Let a = 62 + -29. Does 28 divide (a - (1 + -3)) + 1? False Let d = 585 + -307. Suppose 0 = 2*g - 5*q - 424, -5*g - 4*q + d = -716. Is 16 a factor of g? False Let x(h) = -h**2 - 64*h - 108. Is 9 a factor of x(-40)? False Let k = -238 - -310. Does 12 divide k? True Suppose 15 = -3*l + 45. Does 10 divide l? True Suppose -3*v + 12 = 2*k - 11, -v - 5*k = -25. Suppose 0*f + a + 74 = f, -a = -v*f + 362. Is f a multiple of 14? False Let s(o) = 3*o + 10. Let q be s(-4). Let u(v) = -6*v**3. Does 12 divide u(q)? True Let s be 234/4 + 4/(-8). Suppose s + 50 = 3*x. Let b = x - 24. Does 3 divide b? True Suppose 2 = 4*y - 542. Is 13 a factor of y? False Suppose 4*k + x - 17 = -2*x, 5*x + 30 = 5*k. Let z be 0/(1 - (-2 - (2 + -7))). Is 7 a factor of k - 8 - (z + -24)? True Does 8 divide ((-12906)/(-24) - -6) + (-15)/(-12)? False Let n(i) = 37*i - 213. Is 5 a factor of n(14)? True Suppose -j - 26 = 2*g + 3*j, 46 = -3*g + j. Let d be g/(-45) + 22/6. Is 10 a factor of (-2 - -10) + (6 - d)? True Let v(i) = i**3 + 3*i**2 - 4*i + 2. Let b be v(-4). Suppose -b*u + 210 - 743 = -3*m, 0 = -4*m + 5*u + 713. Does 17 divide m? False Suppose 4*m - 96 = -o + 2*m, 480 = 5*o - 5*m. Is 16 a factor of o? True Is 81 a factor of (11/((-77)/21) - 5) + 5095? False Let m(r) = -r**3 + 4*r**2 + 2. Let h be m(4). Let c be 6/((-4)/h) - 111. Let s = c + 174. Does 14 divide s? False Let u(d) be the third derivative of 17*d**4/24 + d**3/3 - 5*d**2. Let t(i) = 8*i + 1. Let z(r) = 14*t(r) - 6*u(r). Is 11 a factor of z(2)? True Suppose -3*l = l - 4. Does 23 divide l - -2 - (-88 - 1)? True Let a = -2119 - -2415. Is 2 a factor of a? True Let f = 2105 + -1310. Is 87 a factor of f? False Suppose 3*d - 302 - 12 = 5*o, -5*o + 118 = d. Is 15 a factor of d? False Suppose 0 = 3*u - 11*u + 40, -2*v + 5*u = -2791. Is v a multiple of 64? True Let l(m) = 12*m**2 + 13*m - 64. Is l(-8) a multiple of 12? True Let p be (-9875)/(-5) + (-1 - -3). Suppose -p = -8*f - 465. Is 15 a factor of f? False Suppose 15*k - 19*k = 5*f - 268, 0 = -5*f - 20. Is k a multiple of 18? True Suppose 0 = 2*h + 5*r - 1266, -2502 = -40*h + 36*h + 5*r. Is h a multiple of 23? False Let b be (72/(-3))/((-3)/10). Suppose -5*v = y - 0*y - b, -6 = -3*v. Is y a multiple of 8? False Let f(s) = -s**3 + 11*s**2 - 10*s - 8. Let d be f(10). Is (42/d)/(6/(-72)) a multiple of 10? False Let k = 110 + -18. Suppose 2*j = 28 - k. Is (-26)/(-4) + (-48)/j a multiple of 4? True Suppose 4*s - 1733 = -4*c - 445, c = 5*s + 298. Is 6 a factor of c? True Suppose 3*x - 3 = -f, 40 + 22 = 4*f + 2*x. Suppose 2*r + 0*r + 5*g = f, 2*r + 3*g = 10. Is 12 a factor of 1/(5/305) + r? True Suppose 0 = l + s, 2*l - 5 = -0*s + 3*s. Suppose -196 = -5*j + 4*v, l = -j + 3*v + 38. Is j a multiple of 8? True Let f(i) = 2*i**2 - 6*i + 5. Let p be f(4). Is p*2 - (12 - 10) a multiple of 12? True Let r be 2*(13 - -4) + -4. Suppose 3*a - 12 = -r. Let s(x) = 2*x**2 + 3*x - 14. Is 5 a factor of s(a)? True Let z(r) = 73*r**2 - 22*r - 69. Is z(-7) a multiple of 77? False Suppose 83160 = -33*c + 105*c. Does 11 divide c? True Let n(w) be the second derivative of w**4/12 - w**3/6 + 13*w**2 + 10*w + 2. Let x(i) = -i**3 - 6*i**2. Let a be x(-6). Does 6 divide n(a)? False Let k(g) = 2*g**2 + 26*g + 12. Let u(r) = -3*r**2 - 3*r**2 + 18 + 39*r + 6*r**2 + 3*r**2. Let y(s) = 7*k(s) - 5*u(s). Is 36 a factor of y(-6)? True Let d = 220 + 31. Let g = d - 106. Is 15 a factor of g? False Suppose 12 = 3*z - 3*r, 4*r = -z + 6*z - 18. Suppose -11 = -5*k - 21. Does 3 divide k*(-8 + z + 2)? False Let c be (-2)/7 - 308/(-49). Suppose -21 = -3*l - c. Suppose 80 = l*j - 4*a, -4*j + 3*a - 16 = -5*j. Is 8 a factor of j? True Suppose 96*a = 85*a + 1859. Is a a multiple of 13? True Suppose l + 1867 = 2*a, -473 - 2325 = -3*a + l. Does 103 divide a? False Let v = 6719 - 4028. Does 13 divide v? Tr
{ "pile_set_name": "DM Mathematics" }
/23)*(f*f**(2/9)*f)/f**(1/6) assuming f is positive. f**(9043/2070) Simplify (a**(-9)/a)/(a*(a*a**0*a)/a) assuming a is positive. a**(-12) Simplify k**8/k*k*k**(-5)/k assuming k is positive. k**2 Simplify t**(-33)/t*t/(t/t**(1/74)*t)*t assuming t is positive. t**(-2515/74) Simplify (h**(-3)*h**1)/((h*h**(2/7))/(h**(2/15)*h)) assuming h is positive. h**(-226/105) Simplify (i**4*i*i**(-6)*i)/(((i/((((i*i/(i**(-4)/i)*i)/i)/i)/i*i))/i)/((i*i/(i*(i**(-2/5)*i*i*i*i)/i))/i)) assuming i is positive. i**(17/5) Simplify x/((x/(x/(x**(-5/3)*x))*x*x*x*x)/x)*(x**(-17)/x)/x assuming x is positive. x**(-61/3) Simplify (h/((h*h**18*h)/h))/(h*h**(2/25)*h) assuming h is positive. h**(-502/25) Simplify ((l*l*l**4)/l)/l**(-3/10)*(l/l**2)/(l/(l**(-2)*l)) assuming l is positive. l**(23/10) Simplify u/u**3*u/(u/(u*u*(u/u**(4/3)*u)/u)) assuming u is positive. u**(-1/3) Simplify (l*(l*l**(-4))/l*l)/l*l**(1/15) assuming l is positive. l**(-44/15) Simplify i**(5/11)*i**(-15) assuming i is positive. i**(-160/11) Simplify (h**(-1/4))**(-40)/(h/h**(-1/5)*h/(h/(h**(2/9)*h))) assuming h is positive. h**(341/45) Simplify t**(-4/9)/(t/(t/(t*t**22)*t*t*t)) assuming t is positive. t**(-184/9) Simplify ((y*y/y**(1/4)*y)/y*y)/y**(-9) assuming y is positive. y**(47/4) Simplify m**25*m*m**(-5) assuming m is positive. m**21 Simplify i**(-2/3)/i**(2/3) assuming i is positive. i**(-4/3) Simplify ((f**(-1/7)*f*f)/f**(4/5))**29 assuming f is positive. f**(1073/35) Simplify ((w/w**4)/(w**(2/11)*w))**(-32) assuming w is positive. w**(1472/11) Simplify ((q**(2/7)/q)**7)**(1/62) assuming q is positive. q**(-5/62) Simplify (o*o**(-14))**(8/7) assuming o is positive. o**(-104/7) Simplify g*g**(-1)*g*g**(-7)*g**7*g**(3/4) assuming g is positive. g**(7/4) Simplify (t**(-3/2))**(-1/3) assuming t is positive. sqrt(t) Simplify (p*p**9)/((p/(p*p**(7/3)*p))/p) assuming p is positive. p**(43/3) Simplify (h**0/h*h)/(h**4/h*h) assuming h is positive. h**(-4) Simplify (c/(c/(c**8*c)))/c*c**(-2/17) assuming c is positive. c**(134/17) Simplify (u**1)**(-36)*(u/u**(-1))**(-15/4) assuming u is positive. u**(-87/2) Simplify (c/c**(5/8))/c**(-7/4) assuming c is positive. c**(17/8) Simplify x**(9/8)*x**(1/25) assuming x is positive. x**(233/200) Simplify (h**(1/3)*h)**(-39)/((h/(h/(h/(h*(h/(h*(h*h*h*h**(-2/13))/h)*h*h*h)/h)*h)))/h**(2/19)) assuming h is positive. h**(-13027/247) Simplify (p*p**(-1/4))/p*p/p**(-1/5)*p*(p**2)**15 assuming p is positive. p**(639/20) Simplify ((c*c**(-1/11)*c*c)/(c*c**(-3)))**(1/7) assuming c is positive. c**(54/77) Simplify (l**(-1/5))**(-23/3)/(l**(-1/9)*l*l**(-4)) assuming l is positive. l**(209/45) Simplify ((o*o**(-2/5))/o)**33/((o**(-7)/o)/o**(-3)) assuming o is positive. o**(-41/5) Simplify (x**(-1/2))**(3/8)/(x**(-3/2)/x*x**(-1/3)) assuming x is positive. x**(127/48) Simplify (c*c/(c*c/((c/(c*c**(-1)/c))/c)*c))/c**(-5/4)*c**(-7)*c**(4/3) assuming c is positive. c**(-53/12) Simplify (y*y**(-3/4)/y*y*y)/y*y**(-2/5)*y assuming y is positive. y**(17/20) Simplify (o**0*o*o**(-1/3)/o)**(-3) assuming o is positive. o Simplify (c**(3/7)/(((((c**(-2/9)*c*c)/c)/c)/c*c)/c))/(c**(-3/5)*c*c**(-9)) assuming c is positive. c**(3229/315) Simplify (s**(1/22))**20 assuming s is positive. s**(10/11) Simplify (i**(1/18)/i)**(4/29) assuming i is positive. i**(-34/261) Simplify (c**(-1/2))**(-49)/(c/c**(-1))**(1/16) assuming c is positive. c**(195/8) Simplify (z**(3/13))**(-2/25) assuming z is positive. z**(-6/325) Simplify t**(1/12)*t**(3/2) assuming t is positive. t**(19/12) Simplify ((p*(p/p**(-3))/p)/(p*p/(p**(-4)/p)))**36 assuming p is positive. p**(-108) Simplify (j/j**5)/(j/(j/(j*j*j**(-10)))*j) assuming j is positive. j**3 Simplify ((o**(2/13))**11)**(9/8) assuming o is positive. o**(99/52) Simplify (k/(k/k**(-7/3))*k)**(-3/22) assuming k is positive. k**(2/11) Simplify ((f/(f*f**(-1/3)*f))/(f**(-16)*f))**37 assuming f is positive. f**(1591/3) Simplify (a**(1/23)/a)**(-1/15) assuming a is positive. a**(22/345) Simplify (b**8/b*b/b**(2/5))/(b**(-2/5))**(-6/35) assuming b is positive. b**(1318/175) Simplify (l/(((l**1/l)/l)/l*l))**36/(l/l**(2/9)*l*l*l**6/l) assuming l is positive. l**(578/9) Simplify (g**(-6)*g*g**(3/5))/(g**(-2/5))**16 assuming g is positive. g**2 Simplify (h**(1/4)/h**(-1/7))/(h*h**(-1))**(-31) assuming h is positive. h**(11/28) Simplify (((d/(d*d**(-2/11)))/d)/d**10)**17 assuming d is positive. d**(-2023/11) Simplify (x**(-7/5)*x**(-2/35)*x*x)**(1/12) assuming x is positive. x**(19/420) Simplify ((y*y**(-1)*y)/(y*y**(1/3)))/(y/y**(-3/5)*(((y/(y/(y/(y*(((y*(y/(y**(-4)*y))/y)/y)/y)/y*y))))/y)/y)/y*y*y) assuming y is positive. y**(16/15) Simplify (u**7*u**(-2/7)/u)**(-20) assuming u is positive. u**(-800/7) Simplify (w**(2/11)*w*w/((w**(-5)*w*w)/w))/(((w*w*(w*w*w**(-1)/w)/w)/w)/(w**1*w)) assuming w is positive. w**(90/11) Simplify (((((c*c**0)/c)/c)/c)**(-19))**(-1/24) assuming c is positive. c**(-19/12) Simplify (f**(-7)*f*f*f*f*(f*f*f/(f/(f*f/(f*f**(-2/17)*f))))/f*f)**(-47) assuming f is positive. f**(705/17) Simplify (((m*m**(1/8)/m)/m)/(m/m**(3/2)))/(m**4*m**(-9)/m) assuming m is positive. m**(45/8) Simplify (w**6/w*w**(1/9)/w)/(((w*((w*w/(w*w**(-2/33)))/w)/w)/w)/((w/w**(-2/15))/w)) assuming w is positive. w**(2566/495) Simplify (y**(-2/7)/(y*y**1))**(4/17) assuming y is positive. y**(-64/119) Simplify (w**(-2/15)*w/(w*(w/w**(-8))/w*w))**8 assuming w is positive. w**(-1096/15) Simplify y**(-2/13)/((y**(-4)*y)/y)*y**(2/15)*y*y*(y/(y*y**(-5/2)))/y assuming y is positive. y**(2917/390) Simplify v**(2/43)/v**(1/22) assuming v is positive. v**(1/946) Simplify (s/(s**(3/5)/s))**(-1/17) assuming s is positive. s**(-7/85) Simplify o**(-2/7)/((o*o**(-1/4)*o)/o*o)*(o/(o**1*o))**(-2/7) assuming o is positive. o**(-7/4) Simplify (p**(-14/5)*p*p)/(p*p**8*p) assuming p is positive. p**(-54/5) Simplify ((x**0)**(-3/10))**(-28) assuming x is positive. 1 Simplify ((n*(((n/n**(-1/4))/n)/n)/n)/(n*n**(1/11)))**21 assuming n is positive. n**(-1701/44) Simplify (((a**(-2)*a)/a)**(-9))**(-4/7) assuming a is positive. a**(-72/7) Simplify (h**24/h*h)/(((h/(h/(h**(1/36)*h)))/h)/h) assuming h is positive. h**(899/36) Simplify (k**1/k)**39/(k*(k**(3/5)/k)/k*k*k*k**(-3)) assuming k is positive. k**(7/5) Simplify g*g/g**(-2/3)*g**(2/13)*(g/(g**2/g))**(-1/38) assuming g is positive. g**(110/39) Simplify (z*z/(z/z**3*z))/((z*z**(-19)*z)/z) assuming z is positive. z**21 Simplify (v*v*v*v/v**12*v**(-4/7))**(2/9) assuming v is positive. v**(-40/21) Simplify ((u*u**(-2/11)*u*u)**41)**20 assuming u is positive. u**(25420/11) Simplify ((f*f/((f/f**(-3/4))/f)*f*f)/f*f**(3/7)/f)**(-6/25) assuming f is positive. f**(-141/350) Simplify (r*r**(-2/33)*r)/(r*(r*r/(r*r**(1/19))*r)/r) assuming r is positive. r**(-5/627) Simplify (u*u/(u/(u/(u**(-6/7)*u*u))*u)*u*u**(-11)/u)**14 assuming u is positive. u**(-156) Simplify (n*n**(-9))/n*n/((n/(n*n**(2/3)))/n) assuming n is positive. n**(-19/3) Simplify ((u**(1/5)*u)/(u/(u/u**(-2))))/(u**(-2))**(-16) assuming u is positive. u**(-144/5) Simplify y**(-1/6)/y*y/y**(-12) assuming y is positive. y**(71/6) Simplify (x*x*x**0)**(-24)*x**(2/11)/x**0 assuming x is positive. x**(-526/11) Simplify (j**5*j)/j*j/(j/(j/j**(2/43)*j)*j)*j assuming j is positive. j**(299/43) Simplify (o*o**2)/o*o**(-1/2)*o/(o**(-1/2)*o*o)*(o/(o/(o/(o*o**(-3)))))/o*o assuming o is positive. o**4 Simplify (c**(-1/4))**(2/85)/(c/(c/(c*c/(c**(-9)/c)))*c**(-3/7)) assuming c is positive. c**(-13777/1190) Simplify b/(b*b/(b*b*b**(-10)))*b*b*b**38*b assuming b is positive. b**32 Simplify (q*q*q*q*q*q**1*q*q)**(4/31)/(q**(-1)/q)**(-9/8) assuming q is positive. q**(-151/124) Simplify (z*z**1)/((z**(-2/25)/z)/z) assuming z is positive. z**(102/25) Simplify (b**(2/5))**(-12/17) assuming b is positive. b**(-24/85) Simplify z*z**(-23)*z*z**7/z assuming z is positive. z**(-15) Simplify (d/(d**(1/18)/d))/(d/(d*d*(d*d/(d*d**(2/7)))/d*d)) assuming d is positive. d**(461/126) Simplify (z*z**(-2/57)/z)/(z*z**(-16)) assuming z is positive. z**(853/57) Simplify (i**(-2/3))**(-4/23) assuming i is positive. i**(8/69) Simplify ((r*r*(r/(r/(r*r*r**(-2))*r*r))/r)**40)**(-29) assuming r is positive. r**1160 Simplify (x/x**(-5))**(-2/81) assuming x is positive. x**(-4/27) Simplify ((((b/(b*b**2))/b*b)/b*b)**(-1/17))**(-33) ass
{ "pile_set_name": "DM Mathematics" }
alse Is 1293078719 prime? True Is 8618175563 a prime number? True Is 5435740171 composite? False Is 4898538691 composite? True Is 31144602695 composite? True Is 9744965333 a composite number? False Is 11710576783 a composite number? False Is 124347193 a prime number? True Is 1615467829 prime? False Is 45185929111 composite? True Is 51818082163 composite? True Is 116486087887 composite? True Is 2729770189 a composite number? True Is 301862852959 composite? True Is 37407865949 prime? True Is 277079009 prime? True Is 111619717429 a prime number? False Is 4197605401 prime? False Is 358530751 a prime number? False Is 12489703 a prime number? True Is 12230019029 composite? True Is 3929907803 composite? True Is 1647030883 prime? True Is 2225467499 prime? False Is 16860484357 composite? False Is 10230078997 composite? True Is 11298035081 a prime number? True Is 213387439 a prime number? False Is 2585859607 composite? True Is 10070665223 a prime number? True Is 1851174463 prime? True Is 10042538021 a prime number? False Is 308836403 composite? False Is 1805947903 prime? False Is 235704965 a composite number? True Is 50592653213 composite? False Is 1995312001 a composite number? False Is 125855269817 composite? True Is 288163739 composite? False Is 877117189 prime? False Is 62417946401 composite? False Is 150994141 prime? True Is 20862438587 prime? True Is 21127610561 a composite number? True Is 1192785733 prime? False Is 9088274711 composite? True Is 1691189623 a composite number? False Is 351544085 prime? False Is 281130881 a composite number? False Is 9743995123 a prime number? True Is 3752770061 composite? False Is 2079449417 composite? True Is 3691662739 a composite number? False Is 59985148151 prime? False Is 490158389 a composite number? True Is 2285513303 a prime number? False Is 1014564203 a prime number? True Is 4571066737 a composite number? False Is 3487100747 a prime number? False Is 4692559481 a composite number? False Is 23180946541 a prime number? False Is 13025431927 prime? True Is 8312033539 a prime number? False Is 4046348513 prime? True Is 28566624727 composite? True Is 2176295899 prime? False Is 331836537 composite? True Is 15782138714 a prime number? False Is 1774640873 a composite number? True Is 330487771 a composite number? False Is 50165685527 a prime number? True Is 11292862267 prime? False Is 9197349331 prime? True Is 848617967 composite? False Is 266350631 prime? True Is 288615572585 a prime number? False Is 74292313211 composite? False Is 869865529 a composite number? True Is 1557893881 a prime number? False Is 38539180487 prime? False Is 71226518843 a composite number? False Is 401110448423 composite? True Is 123707598991 a prime number? True Is 170784707 a prime number? True Is 11044433017 prime? False Is 4483635589 a composite number? False Is 1716071167 a prime number? True Is 235177651 composite? False Is 21693961589 a prime number? False Is 221541419551 prime? True Is 47094953 composite? False Is 397609241 a composite number? False Is 2378474417 composite? True Is 23836488199 composite? True Is 19788468857 prime? True Is 39714743 composite? True Is 2767100969 a prime number? True Is 898467653 composite? True Is 13710031513 prime? True Is 28130695189 a composite number? False Is 3732615587 composite? False Is 15067248499 composite? True Is 3615632887 a prime number? True Is 17029680761 composite? False Is 433817957 a composite number? True Is 1675159466 prime? False Is 9858682099 composite? True Is 470691367 a composite number? False Is 141200779 a composite number? False Is 9304227967 a composite number? True Is 658302793 a prime number? False Is 396950821 a prime number? False Is 620019821 a prime number? True Is 1295469211 prime? False Is 1432681739 a prime number? True Is 61598269699 composite? False Is 6042887959 a composite number? False Is 54204757 prime? False Is 332376371 composite? True Is 1175386009 a composite number? True Is 21528621341 prime? True Is 358173241 a prime number? True Is 1196860337 a prime number? True Is 4976779967 composite? True Is 40480307149 a composite number? True Is 2577825857 a composite number? False Is 4287684763 composite? False Is 3307214513 prime? True Is 2709641413 a prime number? True Is 9123716537 a composite number? True Is 10075338047 composite? True Is 229419727 composite? True Is 1526404697 a composite number? True Is 25614376054 a composite number? True Is 391588469 composite? False Is 5469945421 a composite number? False Is 4842592471 a composite number? False Is 22973077067 a prime number? False Is 887446346 a prime number? False Is 4474993739 prime? False Is 94668178123 a prime number? False Is 34933802663 a composite number? True Is 129258901 prime? True Is 13150535263 prime? False Is 2187217477 a prime number? True Is 75460678 composite? True Is 15780366583 a composite number? False Is 10481784499 composite? True Is 1987445731 composite? False Is 483226273 composite? True Is 100571052631 prime? False Is 2558714449 a composite number? True Is 258537431 a composite number? True Is 251941982003 a prime number? True Is 28989067553 a prime number? True Is 626778541 a prime number? True Is 2615550373 a composite number? True Is 115932180941 composite? False Is 13125689371 a composite number? False Is 1011750793 composite? True Is 7713696539 composite? True Is 2123335911 a prime number? False Is 54456533753 a composite number? True Is 1965599453 composite? False Is 4218346733 prime? False Is 275782909 prime? True Is 4902217799 a prime number? False Is 7472444333 a prime number? False Is 384204133 a composite number? False Is 525291391 prime? True Is 13536305863 a prime number? True Is 614219659 a prime number? False Is 228974129 a composite number? False Is 1465994063 composite? True Is 372732943 prime? False Is 1137104299 composite? False Is 3359770651 a composite number? True Is 5951034461 a prime number? True Is 468917083 a prime number? True Is 12070629781 prime? False Is 11005909559 a composite number? False Is 320639057 composite? True Is 3224624779 composite? True Is 46047747637 prime? False Is 85429613 a prime number? False Is 19005491449 prime? False Is 2442644537 composite? True Is 946380619 prime? False Is 121970397337 composite? False Is 4331437177 prime? True Is 30659684507 a composite number? False Is 19154194187 composite? True Is 191379401 a prime number? False Is 2120167739 a composite number? False Is 12020858029 a prime number? True Is 88953251 prime? True Is 2065992397 prime? False Is 55328075207 a composite number? False Is 215250853 prime? False Is 22474744027 prime? False Is 18309981839 composite? False Is 72762337 composite? False Is 235207803 composite? True Is 130017803 a prime number? True Is 10616040445 a composite number? True Is 15939608369 a prime number? True Is 11569932851 composite? False Is 42500559329 prime? False Is 7605539833 prime? True Is 722886709 prime? False Is 8319407639 a composite number? True Is 3647572499 a prime number? False Is 201245251855 composite? True Is 997666063 prime? False Is 761864251 prime? True Is 77891195103 prime? False Is 53280550201 composite? False Is 116764327 a composite number? False Is 1553366059 a prime number? False Is 1615723001 a composite number? False Is 3821864707 a prime number? False Is 244273371593 composite? False Is 1575063781 a prime number? False Is 6702795047 a composite number? True Is 287885261 composite? False Is 474819719 prime? False Is 11621449789 composite? False Is 2151481883 composite? True Is 4259474537 composite? False Is 33062159081 prime? False Is 970991741 composite? True Is 218974114257 a prime number? False Is 1037826007 prime? True Is 78252256661 a prime number? True Is 1405408211 a composite number? True Is 20411452141 composite? False Is 7085588197 a composite number? True Is 698723617 composite? False Is 17800694657 composite? True Is 826023109 prime? True Is 153228900641 prime? False Is 2332000919 a prime number? True Is 1298846117 composite? False Is 450240823 a prime number? False Is 3756308581 a composite number? False Is 16471512821 composite? False Is 3306753649 a prime number? True Is 4026007901 composite? False Is 6298646467 prime? True Is 637243063 a prim
{ "pile_set_name": "DM Mathematics" }
-3 Rearrange 4*r**2 - 9 + 2*r + 17 - 3*r**2 + r**2 to j*r**2 + p*r + q and give p. 2 Express (-7 + 4 + 5)*(-b**4 + 2*b**3 - 2*b**3) in the form o*b**2 + q*b**3 + k*b + g + w*b**4 and give k. 0 Rearrange (-1 + 2 - 3)*(4*z**3 + 0*z**3 + 0*z**3)*(-4*z + 3 - 3) - 6*z**4 + 2*z**4 + z**4 to h*z + n*z**2 + o + c*z**4 + f*z**3 and give c. 29 Rearrange (-2*l - l**3 + 2*l)*(9 + 1 - 5)*(0 + 2 - 3)*(0 + 0 - 1)*(3 + 6 + 25) to the form a*l + d*l**2 + i*l**3 + k and give a. 0 Rearrange -d**2 + 0*d**2 + 0*d**2 + (-3*d - d + 5*d)*(-3*d + 3 - 3) + d**2 - 3*d**2 + 0*d**2 to the form k*d + v*d**2 + g and give v. -6 Rearrange 2*h**2 - 15*h**2 + 9*h**2 + 3 + 0*h**2 to g*h + j*h**2 + p and give p. 3 Rearrange 4*k + 0*k - 2*k + (0 + 2 - 3)*(k - k - k) + (0 + 1 + 3)*(-2*k - 6*k - 5*k) to s*k + p and give s. -49 Express (2*r + 3*r - 3*r)*(41378 + 29*r - 41378)*(-3 + 3 - r) as s*r**2 + p*r**3 + x + d*r and give s. 0 Rearrange 3 - q - 5 - 4 to u*q + t and give u. -1 Rearrange -3*w**4 - 2 - 2*w - 2 + 6 to l*w**3 + d + q*w + x*w**2 + n*w**4 and give n. -3 Rearrange -3*w**2 + 4 + 9 - 8 to h*w + d + p*w**2 and give d. 5 Rearrange 5*k**2 - 2*k + 3*k**2 - 3*k**2 + 0*k to the form j*k**2 + t + y*k and give j. 5 Express (-3 + 0 + 0)*(-9*i + 4*i + 0*i)*(i + 1 - 1) in the form t*i + r + j*i**2 and give j. 15 Rearrange 13*m**3 - 3*m**3 + 2*m + 13*m**3 - m to the form p*m + a*m**3 + c*m**2 + u and give a. 23 Express (0*v + 2*v - 4*v)*(-6 - 3*v + 6)*(-2 + 0 + 5) in the form x + l*v + s*v**2 and give s. 18 Express -99*z + 3*z**2 + 97*z + 5*z**2 as o*z + q + i*z**2 and give i. 8 Express (2*b**2 - b + b)*(-2 + 2*b**2 + 2) + (-2*b + 2 - 2 - b**2)*(-3*b**2 - 9*b**2 + 13*b**2) as d*b**2 + o + c*b**4 + k*b**3 + u*b and give c. 3 Rearrange -2*p**2 + p**3 - 4*p + p**2 + 2*p + 0*p**2 to the form w*p**3 + m + s*p**2 + x*p and give x. -2 Rearrange (0 + 3 + 0)*(5 + 1 - 4)*(-j + 2 - 2)*(-1 + 1 - 4) to the form s*j + p and give s. 24 Rearrange (-6*c + 2 + 3 - 3)*(-2 + 3 + 1)*(-4*c**2 - c**2 + 2*c**2) to q + d*c**3 + g*c + a*c**2 and give a. -12 Express (-5 + 1 + 2)*(-3 + 3 - f**4) - f**4 + f**4 + f**4 + 4*f - 5*f - 108*f**4 + 241*f**4 in the form i*f + k*f**3 + v*f**4 + q*f**2 + w and give v. 136 Rearrange 7*q + 4*q**4 - 2*q**4 - q**4 + q**4 - q**2 to the form j*q**4 + k*q**3 + l*q**2 + h*q + r and give j. 2 Express (-c**4 + 4*c - c**3 - 4*c)*(-8 + 16 - 9) as n*c + p*c**2 + i*c**4 + g + v*c**3 and give i. 1 Rearrange (-80 - 14 - 59)*(-1 + 1 + c) to the form x + z*c and give z. -153 Express (0*x**2 + x**2 - 2*x**2)*(1 - 3 + 1) - 42*x**2 + 14*x**2 - 28*x**2 in the form n*x**2 + p + l*x and give n. -55 Rearrange 17*t**2 - 7*t**2 - 8*t**2 + 2*t**3 - t**4 - 1 to the form a*t + l*t**3 + b + x*t**4 + f*t**2 and give b. -1 Express (-1 + 0 + 0 - i)*(-4 + 0 + 3) in the form y + z*i and give y. 1 Rearrange -14*m**2 + 23*m**2 - 4*m**2 to p*m + a*m**2 + u and give a. 5 Rearrange -26*i + 143 - 143 to the form r*i + w and give r. -26 Rearrange (-7 + 2 - 2)*(1 - 1 + c**2) to the form j*c + i + q*c**2 and give i. 0 Rearrange 2 + 7*r - 2*r**4 + 1012*r**2 - 2*r**3 - 2*r - 1010*r**2 to the form a*r**3 + n*r**4 + q*r**2 + d*r + i and give d. 5 Express ((3 + 3 - 4)*(m - 2*m + 4*m) - 3*m + 5*m + 3*m)*(1 - 6 + 4) in the form k*m + j and give k. -11 Express -16*f**2 + 2*f**3 - 17*f**2 + 32*f**2 - 5*f as z*f**3 + b + h*f**2 + w*f and give z. 2 Rearrange (3 - 2*q - 3)*(2 - 2 + q + (-1 + 4 - 2)*(2*q - 4 + 4)) + (-3*q + 3*q - 2*q)*(0*q + 0*q + 2*q) to j*q**2 + o*q + r and give j. -10 Rearrange -10*k**2 + 3*k + 0*k - 6*k + 0*k**3 + k**3 to u*k + r*k**3 + j*k**2 + o and give r. 1 Express -2*a**2 + 17*a**2 + 8*a**2 in the form j*a**2 + s + k*a and give j. 23 Express 48*y - 8*y**3 + 33*y**3 - 13*y**3 - 14*y**3 in the form b*y**2 + v*y + i + h*y**3 and give v. 48 Rearrange -13*i**2 - 8 + 5 + 2*i**3 + 5 to s*i**3 + t + g*i + u*i**2 and give u. -13 Rearrange -5*x**2 + 3*x**2 + 24*x**2 to the form p*x**2 + g*x + o and give g. 0 Express 5*s**3 - 3*s**3 - 54*s - 19*s + (4*s - 3*s - 3*s)*(2*s - 2*s**2 - 2*s) in the form j*s**2 + k*s + b*s**3 + t and give t. 0 Express p**3 + 2*p**2 - 143*p - 7 + 143*p as s*p + v*p**2 + t*p**3 + i and give v. 2 Express 11*q**2 + q**2 + 34*q**2 - 2*q**2 in the form l*q + r*q**2 + g and give r. 44 Express (32 + 36*c - 32)*(1 + 3*c - 1) in the form u + f*c + d*c**2 and give d. 108 Express (1 + 3 - 3)*(2*s - 2*s - 6*s)*(-s - 9*s**3 + s) as a*s**3 + r*s + y + u*s**4 + h*s**2 and give u. 54 Rearrange 1588*h - 1588*h + 90*h**2 to the form c*h**2 + j*h + v and give c. 90 Express 0*p**3 + 4*p**2 - 21*p**4 - 2*p**3 + 23*p**4 + p**2 in the form a*p**4 + d*p**3 + f + j*p + r*p**2 and give d. -2 Express n**3 - 321 + 321 - n in the form w + t*n**2 + c*n**3 + u*n and give c. 1 Express 2*b**2 - 2 - 2*b - b - 2*b**4 + 3*b as u*b**2 + m + o*b**3 + t*b**4 + w*b and give u. 2 Express 0 - 2 - 16*l + 2 in the form f*l + g and give f. -16 Express (-7 - 1 - 3 + (2 + 3 - 4)*(-1 - 2 - 2) + 6 - 4 + 1)*(0 - 2*f**4 + 0) as u*f**2 + d*f**3 + j + p*f + m*f**4 and give m. 26 Express (4*q**3 - 18*q**3 + 771*q - 767*q)*(-4 + 4 - 2*q) as n*q + l*q**4 + g*q**2 + i*q**3 + o and give g. -8 Rearrange 2 - 2*j + 3*j - 3 - j + 0*j + 3*j + (-1 + 2*j + 1)*(3 - 1 - 1) + j + 3*j - 2*j + j + 2 - 2 + 4*j - j - 5*j to the form a*j + w and give w. -1 Express 2*w + 2*w - 3*w - 1 + w + 1 + (1 - 2 + 3)*(w - 3*w + 0*w) + 1 - 1 + w + 9 + 4 + 3*w - 4*w as y + q*w and give y. 13 Express (3 + 1 - 5 + 0 + 3 - 1 + (1 + 3 - 3)*(1 + 0 - 2) + 0 + 3 + 0)*(3 - 7 + 1)*(-10*f + f + 3*f) in the form s + z*f and give z. 54 Rearrange -f**4 + 4*f**3 + 0*f**4 - f + 2*f**4 to j + m*f**2 + n*f + b*f**3 + d*f**4 and give b. 4 Express (-2*o + 2 - 2)*(-153*o + 166*o - 1 + 0) in the form z*o + j*o**2 + w and give z. 2 Rearrange 0*x**3 + 3*x**3 - 4*x**3 + (2 + x - 2)*(-3*x**2 + 2*x**2 + 0*x**2) + 2*x**3 - 2*x**3 - 4*x**3 to the form i*x + k*x**3 + p*x**2 + f and give k. -6 Express (5*t**3 - 4*t**3 + 0*t**3)*(-65 - 4 - 55) as s*t**3 + g + v*t + l*t**2 and give s. -124 Rearrange 66*c + 57*c + 4*c - 46*c to k + n*c and give n. 81 Rearrange 3*p**3 + 2*p**2 - 5*p + 0*p + 2*p to q*p + y*p**3 + n*p**2 + x and give q. -3 Express (-227 - 9*f + 227)*(3 + 1 - 6) in the form i*f + d and give i. 18 Express 3*w**3 - w**3 + 5*w + 2 - 7*w in the form i*w**2 + n*w**3 + y + f*w and give f. -2 Express -2*i**2 - 29 + 26 - i - 2*i**3 + 5*i**3 in the form p*i**3 + m*i**2 + a*i + l and give l. -3 Rearrange -l**3 + 14*l**2 + 3*l**3 + 0*l**3 to c*l + m + u*l**3 + n*l**2 and give n. 14 Rearrange 4 - 5*o - o**2 - o + 10*o - 5*o to f*o**2 + t*o + i and give t. -1 Express (3*h - 1 + 1)*(7*h + 6*h - 14*h - 45) + 2*h**2 - 6*h**2 + 3*h**2 + (0*h + h - 3*h)*(-2*h + 0*h + 4*h) in the form b*h + p + l*h**2 and give l. -8 Rearrange (-10 - 45 - 35*y + 55)*(-y + 0*y + 3*y) to the form r*y**2 + j*y + v and give v. 0 Rearrange b - b**4 + 9*b**2 + 1 - 9*b**2 - 2*b**3 to q*b**2 + f + p*b + n*b**3 + h*b**4 and give h. -1 Rearrange (0*y**2 + 2*y**2 - 4*y**2)*(-2*y - 3*y + 2*y) - y**3 + 4 - 4 to the form t*y**3 + g*y**2 + p + o*y and give t. 5 Express (3 + 1 - 2)*(10*s**4 + 1083*s - 1083*s) as d*s + a*s**2 + l*s**4 + t + f*s**3 and give l. 20 Rearrange b**3 - b**3 - b**3 + 32*b**3 + 97*b**3 + 11*b**3 + (1 - 4 + 2)*(0*b**3 + 0*b**3 + b**3) to g*b + y*b**2 + n*b**3 + m and give n. 138 Rearrange -7*f**3 - f**3 + 0*f**3 + (-2 + 2 - f**3)*(1 + 0 + 0) to w + p*f**2 + b*f + k*f**3 and give k. -9 Rearrange (3 - 1 + 2*p - 4*p)*(2*p + 9*p - 4*p - 2*p**2) to the form o*p + v*p**3 + n + c*p**2 and give v. 4 Rearrange (-4*s - s + 40*s)*(0*s + 0*s - 2*s) to the form u*s + v + w*s**2 and give w. -70 Rearrange 23 - 46*n**2 - 50*n**2 - 2*n**3 + 151*n**2 - 54*n**2 - 3*n**4 to m*n**2 + h*n**3 + l*n**4 + r*n + w and give l. -3 Express -43*v**3 - v**2 + 3*v**2 + 24*v**3 + 25*v**3 + 1 as h*v**3 + x*v**2 + r + q*v and give r. 1 Express (2*s**2 + 3*s**2 - 2*s**2)*(-9*s + 0*s + 2*s) in the form u*s**2 + m*s + p*s**3 + y and give p. -21 Express 57*b - 3 - 5 + 8 as n + f*b and give f. 57 Rearrange (-2*l + 0 + 0)*(-2*l - 2*l + 2*l) + (1 + 2*l - 1)*(1 - 4 + 5)*(26*l + 17*l + 5*l) to the form u*l + v*l**2 + p and give v. 196 Express 2*p**2 + 0*p + 0*p + (5*p**2 + 0*p**2 - 4*p**2)*(2 + 0 - 4) + 4*p - p**2 - 4*p + 3*p**2 - 5*p**2 - 2*p**2 as f*p + x +
{ "pile_set_name": "DM Mathematics" }
r n. -2 Solve 5*j - 37 = 4*s, 22*s - 27*s = 5*j - 10 for s. -3 Solve p - 5 = -2*m, -5*p + 3*m + 4 - 5 = 0 for p. 1 Solve -3*f + 2*m + 19 = 0, 4*f + m - 3 = 4 for f. 3 Solve -4*l = -4*q + 40, -5*l + l = -3*q + 35 for q. 5 Solve t + 3*l + 3 = -0*l, 5*t - 19 = 2*l for t. 3 Solve v + 5*x - 23 = 0, -v = -2*x + 5 - 0 for v. 3 Solve -j + 25 = -4*k, -3*j = -2*k - 9 - 16 for k. -5 Solve 3*h + 3*g - 21 = 0, 16*g = 4*h + 15*g - 33 for h. 8 Solve -2*z - 4*f = z, 3*z - 21 = 3*f for z. 4 Solve 0*x - 5*x = 5*m - 15, 3*m - 12 = -4*x for x. 3 Solve 3*d - 11 + 6 = 2*z, 23 = -5*z - 3*d for z. -4 Solve 5*z = -4*o + 3 - 8, -5*o + 5*z + 50 = 0 for o. 5 Solve -2*k - 5*p = 18, 2*k - 61 = 2*p - 65 for k. -4 Solve -2*r + 4 = 0, -2*y + r = -0*y + 12 for y. -5 Solve 2*x = -5*i - 25, -881*x + 4*i = -883*x - 20 for x. 0 Solve -3 = -15*l + 20*l - 2*d, 4*l + 16 = 5*d for l. 1 Solve v - 4 = 0, -13*t + 8*t = -2*v - 7 for t. 3 Solve 3*q - q + s = 3, -2*q - 3*s - 7 = 0 for q. 4 Solve -49*h + 20 = -54*h - 5*d, -d - 3 = 0 for h. -1 Solve 5*q = -2*m + 6*m - 15, 2*m + 2*q = -6 for m. 0 Solve 3 = -2*k - q + 4, 5*k - 4*q = 35 for k. 3 Solve 18 = z - 5*x, 4*x = -4*z + 11 - 35 for z. -2 Solve 0 = -3*u - 4*q - 16, 3 = -u + 3*q - 2*q for u. -4 Solve -2*x = 3*u - 11, -7*u = -4*u + x - 10 for u. 3 Solve -3*t - 3*b = t + 29, -b - 3 = 0 for t. -5 Solve 0 = -3*y - 5*a - 6, -16*a + 19*a = -5*y - 10 for y. -2 Solve 90 = 6*u - 4*w + 82, 4*u = w - 3 for u. -2 Solve 12 = 3*i, 0 = 2*q + 4*i - 15 + 9 for q. -5 Solve -2*l + 7 = -s, 3*s = 5*l + 2*s - 13 for l. 2 Solve -2*i - 5*d - 10 = 3*i, -2*d = -4*i + 16 for i. 2 Solve 5*j = 5*i, 2 = -j - 3*j + 2*i for j. -1 Solve 0 = 3*j - g + 10, -6*g - 30 = j - g for j. -5 Solve 0 = 4*y - 3*p - 14, 4*y - 344 + 326 = p for y. 5 Solve 0 = 3*w + 3*f + 21, -4*f + 0 - 4 = -4*w for w. -3 Solve 5*b - 16 = 7*b + 3*a, b + 15 = -5*a for b. -5 Solve 0 = 11*s - 9*s + 4*g + 22, -4*g = -s + 19 for s. -1 Solve -2*a - 2*s + 6 = 0, 0 = 3*a + 4*s - 12 + 1 for a. 1 Solve 0 = 5*t + 3*v - 14, -2*t + 12*v + 10 = 11*v for t. 4 Solve 0 = -5*n + 3*j - 15, 27*n = 22*n + 4*j - 15 for n. -3 Solve -x - 17 = -4*f, -28*x + 1 = -29*x for f. 4 Solve 24 = -5*d + x, 0 = 12*d - 13*d + x - 4 for d. -5 Solve -3*d = -12, -16*d + 13 = 5*l - 19*d for l. 5 Solve -2*l - 2 = -c, 2*l + c = l - 4 for l. -2 Solve -3*a = 3*n - 30, -6*n + 5*n - 20 = -5*a for a. 5 Solve -5*w + 15 = -5*p, p = 6*w - 2*w - 15 for w. 4 Solve 6*x + 2*k + 19 = -3*x, 4*x = -2*k - 14 for x. -1 Solve -17*p - 20 = 5*g - 22*p, -2*g - 8 = 5*p for g. -4 Solve -5*v + 7*o - 3*o = -6, 0 = -5*v - 2*o + 12 for v. 2 Solve 4*t = 0, t = -4*l - t + 20 for l. 5 Solve 5*z + 2*v - 7 + 13 = 0, 4*z - 2*v = 6 for z. 0 Solve 0 = -3*r + 7*r + o + 15, 2*o = 5*r + 35 for r. -5 Solve 0 + 2 = 4*b + 5*a, 11 = 7*b + 5*a for b. 3 Solve 0 = -3*y + 3*j - 15, 0 = 18*j - 19*j + 5 for y. 0 Solve -2*f - 3*q - 4 = 11, 43 = 5*f - 4*q for f. 3 Solve 1 = -4*w + t, 0*w + 2*w - 4*t = -18 for w. 1 Solve 2*c = -4*g - 14, -6*g + 10*g - 2*c + 2 = 0 for g. -2 Solve -2*r + 11 = -n, 766*r = -3*n + 768*r - 17 for n. -3 Solve -2 = -5*u + 2*z, -98*u + 94*u = 5*z - 28 for u. 2 Solve 3*l = 2*h + 7, -3*l + 10 = -h + 2 for l. 3 Solve -3*f - 2*a + 0*a = -8, -3*a - 14 = -2*f for f. 4 Solve -2*c - 5*a = -10, -6*c + 2*c - 2*a - 12 = 0 for c. -5 Solve 4*v + 21 = -3*k, -k = 2*v - 3*v for k. -3 Solve -i - b - 2 = 0, 25*b = -i + 20*b - 10 for i. 0 Solve 2*j = -2*j + 2*u - 8, -4*u = 0 for j. -2 Solve 0 = r + 2*b - 1, -5 + 3 = r - b for r. -1 Solve 8*j - 3*j + 20 = -2*i, 3*i = 0 for j. -4 Solve -6*r = -5*r + 4*s - 15, s = 4 for r. -1 Solve 4*a = -3*v - 3, 34 = 3*a - 8*v + 3*v for a. 3 Solve 5*f = 6*k - 2*k + 5, 5*f + 5*k - 50 = 0 for f. 5 Solve 4*i + 16 = 4*u, 490*u - i = 493*u - 4 for u. 2 Solve 5*z + 19 = 2*w, 0*z - 2*w + 13 = -3*z for z. -3 Solve 8 = -4*b - 2*t, -3*b - 5*t - 11 = -2*b for b. -1 Solve -3*p + 3 = 3*y - 9, -p + 4*y = 1 for p. 3 Solve -2*r = -s - 4, -7*s = -6*s + 2*r - 4 for s. 0 Solve 3*f + 12 = 3*c, -2*c + 2 = 2*c + 3*f for c. 2 Solve x = 3*h + 4, 0*h - 5 = 2*h - 3*x for h. -1 Solve -3*h + 17 = -12*g + 8*g, -2*g = 4*h - 8 for h. 3 Solve 0*z - 22 = -z - 5*p, -5*z - 5 = 2*p for z. -3 Solve 2*r + 10 = -2*b, -13 = -2*r - r + 4*b for r. -1 Solve 3*c + 20 = 8*x - 10*x, 3*c + 13 = -x for c. -2 Solve -6*c + 30 = -11*c + i, 0 = 5*c + 3*i + 10 for c. -5 Solve b - 5*r = 13, -b - 3*r = -2*r - 1 for b. 3 Solve -4*u - 15 = r, -2*u + 7*u + 2*r + 21 = 0 for u. -3 Solve 7 = -n - 66*s + 63*s, -s = 1 for n. -4 Solve 0 = 5*b - 3*l - 13, 3*b - 9 = 610*l - 608*l for b. -1 Solve t = -z - 2*t + 9, 0 = -2*z + 4*t - 22 for z. -3 Solve 4*v - 16 = -b - 4, -4*b - v = -3 for b. 0 Solve 2 = -3*x + 5*w - 3, 0 = -4*x + 4*w + 4 for x. 5 Solve -t = -5*j + 8, -510*j + 513*j = -4*t - 9 for t. -3 Solve 4*r = -2*s, -4*s + 10 = 2*r + 4 for r. -1 Solve -3*c = -p - 10 + 15, -5*p - 2*c + 25 = 0 for p. 5 Solve 2*m - 9*l + 2 = -5*l, -1 = -m + 3*l for m. -5 Solve 0 = 5*q - 5*k + 30, -k = 4*q - 3*q - 2 for q. -2 Solve -2*z = 4*a - 0*a + 16, 9 = -3*a - 3*z for a. -5 Solve 3*l - m - 13 = 0, -3*l - 2*m = -m - 5 for l. 3 Solve 2*f + 35 = -5*u + 14, -15 = 3*f + 2*u for f. -3 Solve 4*u = 3*u + 3*h - 10, -3*u = -4*h + 15 for u. -1 Solve 4*y = -5*j - 1, -4*j + 2*y = 83 - 77 for j. -1 Solve -11*y = -8*y - t + 7, -y + 7 = -5*t for y. -3 Solve 5*s - 19 = 2*n, 7*n = -s + 12*n - 10 for s. 5 Solve -4*r - 2*l = -0*r - 18, l + 21 = 4*r for r. 5 Solve -3*s - 5*b = -18, 0 = 9*s - 5*s + 4*b - 16 for s. 1 Solve 0 = 3*t - g - 1, -3*t - 12*g + 15*g - 9 = 0 for t. 2 Solve 5*t = -4*m + m - 4, m + 5 = 2*t for m. -3 Solve 113*a - 108*a + 3*l + 4 = 0, -5*a - 5*l = 0 for a. -2 Solve z + 4 = 10*x - 11*x, 5*z = 4*x - 20 for z. -4 Solve -v + z = -4*v + 13, -5*v + z = -27 for v. 5 Solve 4*n + x = -6, 42*n + 16 = 39*n + 5*x for n. -2 Solve -2*b + w = 4 + 8, -3*w = 2*b + 4 for b. -5 Solve 7*b - 2*b + 25 = 0, 2*m + 21 = -3*b for m. -3 Solve 3*s - 5*t = -4*t + 10, -2*s - 2*t - 4 = 0 for s. 2 Solve 6*g = -2*p - 20, -2*g + 4*p = 7*p + 9 for g. -3 Solve 3*i = -4*s + 6 - 0, -3*s + 9 = 0 for i. -2 Solve -4*k - 26 = -5*p - k, -p - k = -2 for p. 4 Solve 5*a - 21 = 4*b, -5*b - 5 + 15 = a for a. 5 Solve 7*g - 5*g + 3*t - 4 = 0, 0 = 2*t for g. 2 Solve -12 + 0 = -2*x + b, -2*b - 4 = 0 for x. 5 Solve 5*z = 0, -3*w - 6 + 21 = z for w. 5 Solve 2*t + 3*a + 12 - 2 = 0, 5*t + 4*a + 11 = 0 for t. 1 Solve -s + 6 = 4*w + 17, -8 = 2*w - 2*s for w. -3 Solve 0 = -p + 2*s, -2*p = -0*s + s - 5 for p. 2 Solve -5*b - 6 = 4*q, q - 2 = 6*b - 9*b for b. 2 Solve p = 4*m - 22, 3*m - 7 + 0 = -4*p for p. -2 Solve -2*l - 1 + 7 = 2*k, k + 6 = 2*l for k. 0 Solve 3*k + 4*y + 7 = 0, 86*y - 3 = -k + 82*y for k. -5 Solve -2*q - 2*b + 53 = 55, 4*q = 5*b + 41 for q. 4 Solve 54 - 58 = -4*m, -g + 2*m = -2 for g. 4 Solve -5*s + 5 = -5*y + 10, -2*s + y - 2 = 0 for s. -1 Solve -5*h + 4*t + 17 = 9, 0 = -2*h - 4*t + 20 for h. 4 Solve -2*d - 37 + 14 = 5*w, -2*w - 5 = 5*d for w. -5 Solve -9 = -3*f - 11*r + 14*r, 2*f + r = -3 for f. 0 Solve -4*r + h = -0*r - 16, 0 = 5*r - 4*h - 31 for r. 3 Solve 4 = -n - 3*s - 3, 4*n = -4*s - 12 for n. -1 Solve -5*u = -5*i - 0*u - 10, i - 4 = -5*u for i. -1 Solve -5*q - 13 = 5*u - 28, -5*q + 3*u + 15 = 0 for q. 3 Solve 5*i = -q + 21, -2*i + 5*q - 8 = -11 for i. 4 Solve -q - 356 + 353 = -2*c, 4*c = -4*q + 12 for c. 2 Solve -5*m - 1 = 5*z - 6, -2*z = -4*m - 8 for m. -1 Solve -h + 9 = -4*y, -y + 3*y = -3*h + 13 for h. 5 Solve -v - 2*g - 6 = 0, 2*v - 4*g - 40 = -3*v for v. 4 Solve 2*f + 4*n = 10, -28 = 4*f + n - 13 for f. -5 Solve 5*l = -5*a + 25, 3*l + 5*a - 1 = 6*l for l. 3 Solve -u = 3*j + 14, -3*u = -2*j + 101 - 114 for j. -5 Solve 2*i + 2*m - 24 = 0, 24*m - 25*m = 5*i - 32 for i. 5 Solve -4*a + 22 = -2*f, 5*a - 2*f = 9*a - 18 for a. 5 Solve 5*q - k + 22 = 0, 0*k + 5*k - 10 = 5*q for q. -5 Solve -3*z + 2*z = 3, 4*z = -2*n - 18 for n. -3 Solve -3*d - 3 + 1 = -2*g, 0 = -5*d + 4*g - 2 for d. -2 Solve -2*p = -3*l + 1, 51*l = -5*p + 54*l - 16 for p. -5 Solve -2*a + 2*k = 0, -2*a - 2*k = -19 + 3 for a. 4 Solve -4*p + 0*t - 16 = 2*t, 0 = 4*p - 5*t + 30 for p. -5 Solve 4*j - 4 = -2*r + 10, 0 = 3*j + r - 9 for j. 2 Solve -f = -5*x, -2*f = 3*x - x for f. 0 Solve -4*m + 8 = -3*w, -3*m + 4*w - 33 = -39 for m. 2 Solve -2 + 37 = -5*r, 2*q - r - 9 = 0 for q. 1 Solve y + 2*y = -c - 19, 0 = -2*
{ "pile_set_name": "DM Mathematics" }
(n/(n/n**(2/3)*n))/n)/n)/n)/n))*n)) assuming n is positive. n**(-6392/1365) Simplify ((h/(h/h**(-6/13)))**(1/4)*h**14*h**(-19)/h)**(21/4) assuming h is positive. h**(-3339/104) Simplify (((l**(3/4)/(l**(-7)*l))/((l/l**2)/(l*l**(1/3))))**(-7/12))**(2/103) assuming l is positive. l**(-763/7416) Simplify (s**(5/7)*s*s**2)**8*((s*s*s**(2/5))**(-2/9))**(-25/2) assuming s is positive. s**(764/21) Simplify (c**(-1/11)*c**(-6))/(c**(-2/9))**(-3/23)*((c**0/c)/c)**(1/18)/(c*(c**(2/5)*c)/c*c*(c/c**6)/c) assuming c is positive. c**(-29954/11385) Simplify ((m*(m/(m/((m**(-1)*m*m)/m))*m*m)/m)/m*m*m**6/m*m*((m/m**0)/m)**(-27/2))/((m**0)**(-39)/(m**5*m**(1/6))) assuming m is positive. m**(79/6) Simplify ((m**(-9))**(2/53)/((m*m**33)/(m**(-28)/m)))**(2/55) assuming m is positive. m**(-6714/2915) Simplify ((t*t/((t/(t**9/t))/t*t))/t**5)**(-18/13)/(t*((t*t**(3/7))/t)/t*t*(t**(-4/7)/t)/t*(t*t**(2/21)*t)/t**(-1)) assuming t is positive. t**(-2045/273) Simplify ((g**(-4)/g*g)/g**(-1/3)*(g**1)**32)/(g**(5/2)*g*g**(-4/3)/g*g*g*g**(2/9)*g*g*g/(g*(g/(g/(g*g/g**5)*g))/g)*g*g) assuming g is positive. g**(287/18) Simplify (((p**(-1/2)/(p/(p*p**3)))**(-20))**34)**(-5/4) assuming p is positive. p**2125 Simplify (((p**11*p)/p)**30/(p**(-1))**(-32/3))**(-1/73) assuming p is positive. p**(-958/219) Simplify x/(x**(-2/17)*x)*((x*x**(4/7))/x)/x*x*(x*x**(-1/2))**(-16/9)*(x**(3/7)*x**(-1/4))/(x**8/x**(-2/3)) assuming x is positive. x**(-5317/612) Simplify ((((r*r**(-7))/r)/r*r)/(r**0*r)*((r*r**1)/r)/r**(3/10))/((r**(-10)/r)/r*r/r**7*r*r)**(5/2) assuming r is positive. r**(327/10) Simplify z**(2/11)*z*z**(-2/3)*z**(-7)*z/(z/z**4)*(z*z**(-1/6)*z)/(z*z*(z**(2/9)/z*z)/z)*z/(z**(1/5)/z)*z**7 assuming z is positive. z**(6857/990) Simplify (((i/(i*i**(7/4)*i*i))/i**(-7)*i**(3/13)/(((i/i**5)/i)/i))**(3/2))**49 assuming i is positive. i**(72471/104) Simplify (v**3*v**(2/9)*v*(v/v**(2/11))/v**(5/6))/(((v*v**(1/2))/v*v*v)**(-32))**(-17) assuming v is positive. v**(-268447/198) Simplify (b*b/(b/b**(1/5))*b/((b**(1/2)/b)/b)*(b/(b**(-5)*b))/b**(-2/7))/((b/b**(-2/3))**(-1/3)/(b**(-6)/((b/(b*b**(-4)))/b*b))) assuming b is positive. b**(-289/630) Simplify (((w*w*w**(-5)*w*w)/(w*w**7)*(w**2)**(-41))**4)**(-39) assuming w is positive. w**14196 Simplify i**(-1/4)/i**(-3)*(i*i/((i**(-2/17)*i)/i*i)*i)/i*i/(i/i**(1/8))*(i**(2/7))**(4/21)*((i**(-1)*i)/i)**(-1/4) assuming i is positive. i**(85907/19992) Simplify ((n**(-4))**(2/25)/((n**18/n)/(n*(n**(-4/7)/n)/n*n)))**(-18) assuming n is positive. n**(56358/175) Simplify ((l**(1/8)/l**6)/(l/((l*l**0)/l)*l**(1/12)))/((l/(l*l*l**(7/4)*l)*l)/l*l/l**(-2))**(30/13) assuming l is positive. l**(-1631/312) Simplify ((((t**(-1)/t)/t)**(1/57)/(t**(-2/3)/((t/(t**(3/4)*t)*t)/t)))**(-36))**(-28/5) assuming t is positive. t**(-2604/95) Simplify ((i**(-1/3)*(i**(-4)*i)/i)/(i**(-1/3)/i**(4/5)))/((i*i/i**(-7)*i*i**2*i)/(i**(2/9)/(i**(2/9)/i))) assuming i is positive. i**(-76/5) Simplify ((a**(-3/23)/a*a*a**(-3))/(a**(-1)/a*a)**33)**(-33) assuming a is positive. a**(-22671/23) Simplify (w**(2/17)/w*w**(-2/7))**(27/5)*(w**(1/3))**(-29)/(w/((w/(((w/w**(-1)*w)/w)/w*w*w))/w)*w*w**(-1/5)) assuming w is positive. w**(-37082/1785) Simplify (p/p**(-6)*p**6/p)/(p*p**2/p)**(28/3)*(p/p**0)**(-1/5)*p*p**(-2/9)/p*p*p**8 assuming p is positive. p**(86/45) Simplify ((b/(b*b**17/b))/b**10*b*b*b**(17/2)*b*b*b/(b**(-30)*b))**(-8) assuming b is positive. b**(-132) Simplify ((t*t/t**(-5))**50/(t/t**(1/16)*t**(-2/5)*t))**(-11/4) assuming t is positive. t**(-306647/320) Simplify (d**(1/8)*d*d/(d/(d/d**2))*d*(d/(d/((d*(d**(-2/5)*d)/d)/d)*d))**17)/(d**(2/7)*d/((d*d**(-3))/d)*d/d**(-1/3)*((d**4*d)/d)/d) assuming d is positive. d**(-26287/840) Simplify (x**(3/4)/x**(3/7)*x**(-4)*x**(-6))/((x**(-1/4))**(14/5)*(x**2)**(12/13)) assuming x is positive. x**(-19701/1820) Simplify ((y**6/y*y**(1/19))/(y**(-3/4)/y**15))**0 assuming y is positive. 1 Simplify (g**(-1)/g)**(2/55)/(g**1)**(-26)*((g**(1/7))**19)**(-4/9) assuming g is positive. g**(85658/3465) Simplify ((u*u*u**(-2))/u**7)/(u*u*u**0)**(-14)*((u*u**(1/3))/(u*u**(-6)))/(u/(u/(u**(-2/11)*u))*u/(u**(-1/3)*u)) assuming u is positive. u**(288/11) Simplify ((u/u**12)/(u*u/(u*u*(u/(u/(u/(u*u*u**10))))/u)*u))**(2/29)/(u/(u**8/u)*u**(2/3)*(u*u**(-2/7))**(-3/7)) assuming u is positive. u**(16985/4263) Simplify (y/(y*(y**(2/7)/y*y)/y))**(-9/11)/(y**(2/17)/((y*y**2)/y))*(y**(-1/3))**(-5/16)*y**(-6)*y**(3/7) assuming y is positive. y**(-261967/62832) Simplify ((s**(-9/2))**(-34)/(s**(-25)*s**(2/5)))**(-6/17) assuming s is positive. s**(-5328/85) Simplify (((s/(s/(s/(s/(s**8*s))))*s**(-2/13)/s)**(-3/8))**(-45))**(-47) assuming s is positive. s**(-323595/52) Simplify ((g**(-1/2))**10*(g**1)**(-27))/(((g/(g/(g/(g**(-1/2)*g*g*g)*g)))/g*g)**(-1/23)/(g*g**(-6)*g**(-4/9)/g*g)) assuming g is positive. g**(-15511/414) Simplify (t*t/(t*t/t**(-4/7)*t)*t*t*t**(1/4)/t*t**(-2)*t**(-1/3)/t)/((t**(-1/2))**(9/7)*(t*t**8*t)/(t*t**(-7))) assuming t is positive. t**(-1597/84) Simplify (m**(9/4)/m)**13/(m*m**(2/47)*m*m**(-1/3)) assuming m is positive. m**(8201/564) Simplify ((i*i**(-1)*i)/i**(2/9)*(i/i**(-2/3))/((i*i*(i/i**(1/6))/i*i)/i))/(i*i**(1/3)/i*i*i*i/(i/i**(-4/7)))**(-35) assuming i is positive. i**(1121/18) Simplify (c**(-1/7)/c**4)/(c**(-1/2))**34*(c*c**(-11)*(c/(c**(-12)*c))/c)**(1/10) assuming c is positive. c**(907/70) Simplify (m/(m**(-4/9)/m)*(m*m/(m**(3/4)*m))/m*m**(-4)/m**4)/((m*m**(-1))**17)**(1/9) assuming m is positive. m**(-227/36) Simplify ((l**(4/17)/l*l**(-1/9))/(l**(-5))**42)**6 assuming l is positive. l**(63992/51) Simplify (((a/(a*a**(-3))*a**(-3/5))**42)**23)**17 assuming a is positive. a**(197064/5) Simplify (c**(-1/3)/c)**(-31)*c**(1/5)/c**(2/15)*c**(-6)/(c/c**8)*c*c/c**(-2)*c**5 assuming c is positive. c**(257/5) Simplify ((l*l*l**(7/10))/l**(-1/17))/(l**27*l/(l/(l**(19/4)*l))*l) assuming l is positive. l**(-10537/340) Simplify ((z**1)**(4/13)*(z/(z*z*z*z**(-3)))/z**(-1/5))/(z**(-5/2)*z/(z/z**(1/2))*(z/(z/(z*z**(-2))))**(-5/14)) assuming z is positive. z**(2867/910) Simplify (r*r/r**7*r**(-3/13))**(14/11)/((r/(r*(r*(r/r**(1/2))/r)/r))**(3/17)*(r*r**(2/13))/(r/(r/(r*r/(r**(-3)/r))))) assuming r is positive. r**(-9235/4862) Simplify ((j*j**0)/((j**(1/5)*j)/j))**10*((j*j/(j/((j*j**(-2/5))/j)))/j)**(26/3)/(j*j**(1/2)/j*j*j**(-1/3)*j) assuming j is positive. j**(71/30) Simplify (((i*i**4)/i*i)**(1/33)*(i**(-2/3))**(-9/8))**42 assuming i is positive. i**(833/22) Simplify (t*t*t/t**(-1/3))**(1/27)*t**(-5)*t*(t*t**(-1))/t*(t**1/(((t/((t/(t**(-1/4)/t*t)*t)/t))/t)/t))/(t**(-6/11)*t**(-5/2)/t) assuming t is positive. t**(8621/3564) Simplify (l*l/(l*l/l**(1/6)*l)*l*l**(1/12))/(l**8/l**(-3/7))*((l**(-2/9)*l)**(1/3))**(2/17) assuming l is positive. l**(-104719/12852) Simplify ((a**(-2/7))**(2/49))**(8/13)/((a**3*a*a*a)/a**1)**(-1/27) assuming a is positive. a**(21431/120393) Simplify (v*v**(1/4)*v*v*v)**(8/7)*v**(1/7)*v**(-5)*((v**2)**(-5/4))**13 assuming v is positive. v**(-65/2) Simplify ((z*z*z*z**2/z*z)**(-15)*z**(-2/5)*z*z**(-2/3))**39 assuming z is positive. z**(-14638/5) Simplify ((l**1*l)/l**(-5)*l**(-5)/(l*l/(l*l**(-2/25)*l)*l))/(l/((l/(l**5/l)*l)/l)*l**5*l**3/(l**(-2/11)*l)) assuming l is positive. l**(-2822/275) Simplify (s**(-48)/(s*s/(s*s*s/s**5)))/(s**(-2/17)/((s**(-3)*s*s)/s)) assuming s is positive. s**(-916/17) Simplify ((p/(p*p/p**1))/p**(-8))/(p**(-2/7)*p)**(-45)*(p**(-3)*p*p**8)/((p*p**(-6)*p)/(p/((p/p**(1/3)*p)/p))) assuming p is positive. p**(1060/21) Simplify (((q/(q/(q*q*q**(-2/11))))/(q**(-2)*q))/(q**(-8)*q**(-8)))/(((q**(2/3)*q)/q)**(-1/3)*((q**1*q)/q)**(3/44)) assuming q is positive. q**(683/36) Simplify (((q/q**(-1))/q)**(-2/77)/((q*q*q**8*q)/q*q**6))/(q/((q*q**(-2/21)/q*q)/q*q)*q/q**(1/9))**(10/11) assuming q is positive. q**(-1066/63) Simplify ((y/((y/y**(-2/19))/y))**5/((y**(-21)/y)/(y**34*y)))**(4/5) assuming y is positive. y**(4672/95) Simplify ((o**(-3)/(o*o**(2/7)))/(o*o*o/(o*o**(-2)/o)*o**2*o))/((o**(-2/7)/o)**(-2/9)*o**(-1)/(o*(o/(o*o**(2/5)))/o)) assuming o is positive. o**(-419/35) Simplify ((p**(-1/5))**48)**(-2/9)/(((p*(p*p*p*p**(-2/33)*p*p)/p)/p)/((p/p**(4/9))/p)*p/(p/p**(-3/4))*p*p*p/(p/(p*p**(-1/4)))) assuming p is positive. p**(-2104/495) Simplify ((q**(-9)/q)/q*q**(-4)*(q**(-2)*q)**(-24))/(q**5/q**(-1/7))**46 assum
{ "pile_set_name": "DM Mathematics" }
e factors of a. 3, 5 Suppose -18 = -3*c - 3. Suppose -c*y = -5*t + 20, -2*y = -5*y - 3. Suppose -p + 9 = f - 0*p, 4*f = -t*p + 33. List the prime factors of f. 2, 3 Let r = 93 + -88. Suppose 2*n + 14 - 56 = 4*s, -r*s + 21 = n. List the prime factors of n. 3, 7 Let t be (-51)/(-6) + 33/22. Suppose -2*z - 6*d + 152 = -2*d, -2*d + t = 0. List the prime factors of z. 2, 3, 11 What are the prime factors of 2062/20 - 12/120? 103 Suppose 3*t = -o - 273, -3*t + o = -t + 177. Suppose -3*r = -8*r - 160. Let k = r - t. List the prime factors of k. 2, 29 Let f(i) = i**3 - 9*i**2 - 12*i + 14. Let o be f(10). List the prime factors of ((-1180)/(-30))/((-4)/o). 59 Suppose 4*a - a = -66. Let f be (a/(-8))/(6/(-24)). Let m = 14 + f. List the prime factors of m. 3 Let d = -3377 + 4771. List the prime factors of d. 2, 17, 41 Let s(o) = 13 - 4*o**3 + 7*o**2 + 2*o**3 + o**3 + 2 + 4*o. Suppose 4*f - 19 = 9. List the prime factors of s(f). 43 Let k(u) = u**2 - 2*u + 8. Let s be k(0). Let b(o) = o**3 - 8*o**2 + o - 6. Let w be b(s). Suppose -12 = -3*c, w*c = -p - c + 30. List the prime factors of p. 2, 3 Let p = -468 - -433. Suppose -3*b + 8*b - 15 = 0. Let o = b - p. What are the prime factors of o? 2, 19 Let g(s) = 2*s**2 + s - 5. Let u be g(-7). Suppose 0 = -0*c + c + 4*l - 31, -c = -4*l - 71. Let o = u - c. List the prime factors of o. 5, 7 What are the prime factors of (-894)/(-5) + 6/30? 179 Let d = 4669 - 2410. List the prime factors of d. 3, 251 Suppose -7 = -3*g + 4*l, 0*l - 2*l = 2*g. What are the prime factors of (g/2)/((-1)/(-166))? 83 Suppose 0 = 3*h + 5*n - 4265, 47*h = 43*h + 4*n + 5740. List the prime factors of h. 2, 5, 11, 13 Let r(p) = -3*p + 3*p - 2*p + 9*p**2 - 2*p - 27. Let c(k) = -4*k**2 + 2*k + 13. Let t(x) = -7*c(x) - 3*r(x). List the prime factors of t(-7). 53 Let h(f) = f**3 + 4*f**2 + 22*f - 39. List the prime factors of h(12). 3, 281 Suppose -5*f + 524 = 2*k, 2*k + 3*f = 500 + 20. What are the prime factors of k? 257 Suppose -2772 = -q - 4*k, -5*q + 2*k + 7923 + 6047 = 0. List the prime factors of q. 2, 349 Let i = -11 - -19. Suppose -2*g - i = -5*v + 2, 3*v = -3*g + 27. Suppose -5*c + g + 30 = 0. What are the prime factors of c? 7 Let d(z) = -86*z - 37. What are the prime factors of d(-7)? 5, 113 Let o(n) = -2*n**2 + 18*n - 6. Let z be o(9). List the prime factors of z*7*(-12)/18. 2, 7 What are the prime factors of 16/(-14) + 442320/420? 2, 263 Suppose 8*j + 256 = 6*j. Let k = -45 - j. What are the prime factors of k? 83 Let a be 3*21/(-18)*-2. Suppose a = 3*o - 44. List the prime factors of o. 17 Let o = 0 + -34. Let x be (-8)/(-28) + (2 - 65/7). Let l = x - o. What are the prime factors of l? 3 Let o = 86 - 79. Let f(y) = -3*y**2 + 22*y - 5. List the prime factors of f(o). 2 Let y(i) be the first derivative of -i**4/4 + 2*i**3 + 4*i**2 + 6*i - 1. List the prime factors of y(7). 13 Let t(f) = 3*f**3 - 17*f**2 + 42*f - 25. What are the prime factors of t(9)? 1163 Let t(s) = s**2 + 9*s - 5. Let y(r) = -11 - 4*r**2 + 0*r**2 + 3*r**2 + r + 0*r. Let i be y(0). What are the prime factors of t(i)? 17 Let j be 0 + 303 + (-4)/(-4). Suppose -152 = -2*f - 4*x, 4*f + x - j = -x. List the prime factors of f. 2, 19 Suppose 0*w - 3*u - 1864 = -4*w, 2*u = w - 466. List the prime factors of w. 2, 233 Suppose -2*j + 2*d + 80 = -538, 5*d = -4*j + 1209. What are the prime factors of j? 2, 3, 17 Let k(g) = 4*g**2. Let o be k(1). Suppose o*z + 14 = l, 0 = l - 3*l + 4*z + 44. Let t = l - 5. List the prime factors of t. 5 Let u(c) = c**3 + c**2 + c - 2. Let k be u(-5). Let a = 171 + k. What are the prime factors of a? 2 Let h = 932 - 610. List the prime factors of h. 2, 7, 23 Let f(b) = -707*b + 22. What are the prime factors of f(-1)? 3 Suppose 0 = -p + 4*p - 12. Suppose 0 = -3*a - 2 - p, -2*j - 5*a - 2 = 0. Suppose 4*v + 92 = j*w, 2*w - 5*v - 71 = -w. What are the prime factors of w? 2, 11 Let s be (1*3/(-9))/(5/(-45)). Suppose 0 = g - s*g + 374. List the prime factors of g. 11, 17 Let v be 8/10*(11 - 1). Suppose 4*s - 11 = -3*m, 4*s = 5*m + 11 - 40. Suppose -2*k + 2*a + v = 0, -11 = -m*a + 9. What are the prime factors of k? 2 Let g(n) = -2*n + 27. Let k be g(11). Suppose 0 = -k*b - 0*a + 3*a + 23, 4*b = -a + 15. Let d(t) = t**3 - 3*t**2 + 2*t + 1. List the prime factors of d(b). 5 Let o = -74 - -136. Let q = o - 34. What are the prime factors of -3 + (-3)/((-6)/q)? 11 Let h be 3/(-4) + (-36728)/(-32). Let p = h + -162. List the prime factors of (-4)/10 - p/(-25). 3, 13 Suppose -4 = -4*t + 2*m, -t = -0*t - 2*m + 5. Suppose -2*a + 0*a = 4*j - 34, 23 = t*a - j. Let c = a - 6. List the prime factors of c. 3 Let d = 12 - 10. Let t be 0/(d*(-3)/6). Let w(q) = q**2 + q + 11. List the prime factors of w(t). 11 Suppose -892*w + 897*w = 1125. What are the prime factors of w? 3, 5 Suppose -3*x = 0, 5*y - 5*x - 258 = 152. Let v = y - 45. List the prime factors of v. 37 Suppose -5*o = -3*m - 42, 4*o - o + 4*m - 2 = 0. Suppose -o*r = -r - 45. Let f = r - -30. List the prime factors of f. 3, 13 Let k(v) be the third derivative of v**5/30 + v**4/24 + v**3/6 - 5*v**2. Let l be k(1). Suppose l*o - 19 = 3*o. List the prime factors of o. 19 Let k(v) be the first derivative of 5*v**2/2 - 24*v - 14. What are the prime factors of k(7)? 11 Suppose 4*g = -4, -l + 2*l = -g + 107. List the prime factors of (l/(-14))/(42/(-392)). 2, 3 Suppose 2*h = 5*h - 3324. What are the prime factors of h? 2, 277 Let x(y) = y**2 + 13*y - 12. Let h be x(10). List the prime factors of 28/(-126) - h/(-9). 2, 3 Suppose -2*p + 2*d + 2 = 0, -4*p + 6 = d - 4*d. Let j be -2*(27/(-6) + p). Suppose f + 0*f - j = 0. List the prime factors of f. 3 Let b(c) = 13*c**2 - 16*c - 16. List the prime factors of b(-11). 1733 Suppose -6*b = -4*b - 6, 0 = 3*y + 5*b - 15. Suppose -5*i + 3*h - 16 = y, -2*h + 4*h + 21 = -3*i. What are the prime factors of (-42)/i*(-5)/(-2)? 3, 7 Let g = -2087 + 3223. What are the prime factors of g? 2, 71 Let a be (4/3)/(6/9). Suppose -a*v + 4 + 0 = 0. List the prime factors of v + (2 - -50)/4. 3, 5 Let g be 45/6*(-16)/(-12). Suppose -g = -3*c + 26. Let a = 18 - c. List the prime factors of a. 2, 3 Let n = 1191 + -72. List the prime factors of n. 3, 373 Let p = -44 - -48. Suppose s + 2*s = -6, p*z - 4*s = 664. What are the prime factors of z? 2, 41 Let v(r) = r**2 + 2*r + 5. Let a be v(0). Suppose -a*w + 5*u = -1035, 443 = -3*w - 4*u + 1057. What are the prime factors of w? 2, 103 Let d be (-8)/(-3) + (-2)/3. Suppose -d*v + 4*v = 0. Suppose v*i = 5*i - 60. List the prime factors of i. 2, 3 Let h be ((-6)/10)/(4/(-20)). Suppose 0 = -19*s + 26*s - 1015. Suppose -2*u - h*u = -4*a - 100, -5*u - 5*a = -s. List the prime factors of u. 2, 3 Let a be 22/55 + 24/(-10). Let u(g) = -2*g**2 + 3*g**2 - 3*g + 0*g**2 - 3. What are the prime factors of u(a)? 7 Suppose -6*x + 801 = -267. Let b = -6 + 10. Suppose 4*g - 150 = -b*k + g, 0 = -5*k + g + x. List the prime factors of k. 2, 3 Let x = 42 - 61. Let y = 22 + x. Suppose -2*s - y*g + 11 + 20 = 0, g + 55 = 4*s. What are the prime factors of s? 2, 7 Let n = -139 - -144. Let b(k) = 10*k**2 + 8*k - 35. List the prime factors of b(n). 3, 5, 17 Suppose 23*f = 21*f + 1948. List the prime factors of f. 2, 487 Let p = -122 + 127. Suppose -3*l = 2*t + 177, 2*l - 3*l + 4*t - 45 = 0. Let c = p - l. What are the prime factors of c? 2, 31 Suppose 0 = 4*r - 46 - 454. What are the prime factors of (4/12)/(2/6) + r? 2, 3, 7 Let i(m) = 12*m - 5. Let a(z) = -2*z**3 + 11*z**2 - 2*z - 4. Let l be a(5). List the prime factors of i(l). 127 Suppose -k = -k - 2*k. Suppose -j + 2*j - 109 = k. What are the prime factors of j? 109 Let m(i) = 249*i + 50. List the prime factors of m(2). 2, 137 Let k be (-2)/13 - (8330/(-65) + 2). Suppose -t = -4*a - 22, -4*a + 0*a = -5*t + k. List the prime factors of t. 2, 13 Suppose 2*z + 12 = 4*o, 0*o + 8 = -2*z + 3*o. Suppose -z*h = -2*g + 14, 3*h + 5 = 4*h + 3*g. Let s = h + 11. List the prime factors of s. 7 Let q be 7/21 + ((-564)/(-9))/4. Let r(f) = -f**3 + 18*f**2 - 23*f + 12. List the prime factors of r(q). 2, 3, 13 Let p = 22 + -26. Let j(q) = -2*q - 3. Let z be j(p). Suppose -5 = -z*s + 6*b - 2*b, -20 = -3*s - b. What are the prime factors of s? 5 Let x(g) = 8*g + 8 + 2*g + 0*g. List the prime factors of x(8). 2, 11 Suppose 5*r -
{ "pile_set_name": "DM Mathematics" }
r j*d - 4/7 + 4/7*d**2 - o*d**3. -2*(d - 2)*(d - 1)*(d + 1)/7 Factor 3*c**4 + 73*c - 35*c - 38*c. 3*c**4 Let x(h) = h**3 - 1. Let p(g) = -8*g**3 + 9*g**2 + 12*g - 3. Let j(z) = p(z) + x(z). Factor j(k). -(k - 2)*(k + 1)*(7*k - 2) Let i = -11/19 + -205/171. Let f = i - -28/9. Suppose -1/3*x**3 + f - x**2 + 0*x = 0. What is x? -2, 1 Let i(w) be the second derivative of w**5/80 + w**4/32 + w**2 + w. Let s(y) be the first derivative of i(y). Solve s(l) = 0. -1, 0 Suppose -1 = -u - 0*u + 5*h, -3*h + 15 = 0. Let d be 4/u - 192/(-104). Factor -1/4 - 1/2*s - 1/4*s**d. -(s + 1)**2/4 Let s(q) be the second derivative of 3/14*q**7 + 0*q**2 + q**4 - 2*q + 0 - 2/3*q**3 - 1/4*q**5 - 2/5*q**6. Factor s(t). t*(t - 1)*(t + 1)*(3*t - 2)**2 Let u(t) = -2*t**2 - 34*t - 29. Let x be u(-16). Let v(i) be the first derivative of 1 + 6/5*i**2 - 2/5*i**x - 8/5*i + 1/20*i**4. Suppose v(j) = 0. What is j? 2 Let v = 4 - 2. Let f(b) be the first derivative of -1/4*b**4 - 2/3*b**3 + 0*b + 3 - 1/2*b**v. Factor f(x). -x*(x + 1)**2 Suppose y - 3 = -1. Let o(n) = n**2 + 4*n. Let d be o(-4). Suppose d*b - 2*b**y + 4*b - 2*b = 0. What is b? 0, 1 Suppose -2 = -5*x + 8. Let y(q) be the first derivative of 1/6*q**3 - 3/20*q**5 - 2 + 1/24*q**6 + 1/4*q - 3/8*q**x + 1/8*q**4. Find u, given that y(u) = 0. -1, 1 Let z(y) be the second derivative of y**4/12 + 20*y**3/3 + 200*y**2 - 34*y. Suppose z(q) = 0. What is q? -20 Let k = 35 - 33. Let -4/3*i**k + 0 - 1/3*i**4 + 0*i - 4/3*i**3 = 0. Calculate i. -2, 0 Let j(i) = 39*i**2 + 246*i - 312. Let f(h) = -3*h**2 - 19*h + 24. Let v(l) = -27*f(l) - 2*j(l). Factor v(y). 3*(y - 1)*(y + 8) Let j(w) = -4*w**2 + 2*w - 4. Let u(h) = 3*h**2 - h + 3. Let p(b) = 2*j(b) + 3*u(b). Let o be p(-2). Factor -3*a**o + 2 + 4*a**3 - a - 1 - a**2. (a - 1)**2*(a + 1) Let d(i) = -8*i**4 + 9*i**3 - i**2 - 9*i + 5. Let g = 2 + 2. Let m(u) = 23*u**4 - 26*u**3 + 2*u**2 + 26*u - 14. Let p(r) = g*m(r) + 11*d(r). Factor p(l). (l - 1)**2*(l + 1)*(4*l - 1) Let k(w) be the third derivative of -1/12*w**4 - 1/60*w**5 - 2*w**2 + 0 - 1/6*w**3 + 0*w. Factor k(b). -(b + 1)**2 Let f(m) be the first derivative of 0*m - 8 - 8/5*m**5 + 0*m**3 - 2*m**2 + 3*m**4. Let f(g) = 0. Calculate g. -1/2, 0, 1 Let u be (8/10)/((-6)/(-15)). Let c(m) be the first derivative of 0*m + 0*m**u + 3 - 2/15*m**3. Factor c(i). -2*i**2/5 Let g = 16 - 12. Suppose 0 = -g*k + k + 6. Suppose 4/3*j**4 + 0*j**3 - 4/3*j**k + 0 - 2/3*j + 2/3*j**5 = 0. Calculate j. -1, 0, 1 Let n(p) be the first derivative of p**6/2 - 3*p**5/5 - 3*p**4/4 + p**3 - 34. Factor n(d). 3*d**2*(d - 1)**2*(d + 1) Let g(o) be the first derivative of -o**5/5 - o**4/2 + o**2 + o - 17. Factor g(n). -(n - 1)*(n + 1)**3 Factor -1/5*r + 0*r**3 + 2/5*r**4 + 1/5*r**5 + 0 - 2/5*r**2. r*(r - 1)*(r + 1)**3/5 Suppose -5*o + 0*o + 5 = 0. Let g be 5/(o - (2 - 2)). Suppose 0 - 2*c**2 + 2*c**4 - 39/2*c**3 + 2*c + 35/2*c**g = 0. What is c? -1, -2/5, 0, 2/7, 1 Let i(c) be the second derivative of -c**9/75600 + c**8/16800 - c**7/12600 + c**4/3 - 4*c. Let v(q) be the third derivative of i(q). Factor v(j). -j**2*(j - 1)**2/5 Let f be 1/((-34)/(-12) + -3). Let x be -3 + (-1)/(-1) - f. What is a in -1/5*a**5 + 2/5*a**2 + 3/5*a - 2/5*a**3 + 1/5 - 3/5*a**x = 0? -1, 1 Suppose 0*d + 6 = 3*d. Factor s**3 - 2*s**d - 4*s + s + 0*s + 0*s**3. s*(s - 3)*(s + 1) Let t(l) = -l**2 - 6*l + 1. Let u be t(-5). Let k be 21/14*20/u. Determine n so that 0*n**5 - n**k + 4*n**5 + 6*n**4 = 0. -2, 0 Let y(i) be the third derivative of 0 - 1/140*i**7 + 5*i**2 - 3/16*i**4 - 1/6*i**3 - 1/8*i**5 + 0*i - 11/240*i**6. Factor y(u). -(u + 1)**3*(3*u + 2)/2 Find o, given that -19 - 2*o**2 + 19 - o**3 = 0. -2, 0 Suppose -x + 5 = 3. Let 3/2*m - 1 - 1/2*m**x = 0. What is m? 1, 2 Let i be 1 + -2 + 5/1. Suppose 0 = i*f - 8. Factor -2/7*u**f - 4/7 + 6/7*u. -2*(u - 2)*(u - 1)/7 Let b(a) = 3*a**2 - 3*a + 4. Let c(v) = 2*v**2 - 2*v + 4. Let u = 0 + -5. Let w(p) = u*c(p) + 4*b(p). Solve w(h) = 0 for h. -1, 2 Let r be 57/(-190)*(-25)/108. Let d = 541/504 + r. Factor -2/7*h**2 - d*h - 8/7. -2*(h + 2)**2/7 Let t(l) be the third derivative of l**8/504 + 8*l**7/315 + 7*l**6/60 + l**5/5 - l**2 - 3*l. What is i in t(i) = 0? -3, -2, 0 Let z(m) be the third derivative of m**7/210 - m**6/120 - m**5/60 + m**4/24 - 3*m**2 - 5. Determine w, given that z(w) = 0. -1, 0, 1 Let k(t) = -t**5 - t**4 + t**3 + t**2 + t. Let y(r) = -14*r**5 - 9*r**4 + 34*r**3 + 39*r**2 + 14*r. Let s(n) = -4*k(n) + y(n). Solve s(b) = 0 for b. -1, -1/2, 0, 2 Let a(f) be the second derivative of 0 - 2/3*f**3 + 5/9*f**4 + 3*f - 4/3*f**2. Factor a(k). 4*(k - 1)*(5*k + 2)/3 Determine j so that 0 + 4/7*j**4 + 0*j + 16/7*j**2 + 16/7*j**3 = 0. -2, 0 Let k(j) be the first derivative of j**6/42 + 2*j**5/35 - j**4/14 - 4*j**3/21 + j**2/14 + 2*j/7 - 6. Solve k(g) = 0 for g. -2, -1, 1 Let r be (-1 - -1) + (-15 + 8)/(-14). Let -3/4*z**3 - r*z**2 + 0 - 1/4*z**4 + 0*z = 0. Calculate z. -2, -1, 0 Let q(s) be the first derivative of s**6/2 + 3*s**5/5 - 15*s**4/4 + 3*s**3 - 23. Determine d, given that q(d) = 0. -3, 0, 1 Let v(n) be the second derivative of 0 + 7/18*n**4 + 1/9*n**3 + 25/252*n**7 + 0*n**2 + 23/40*n**5 + 7/18*n**6 - 5*n. Factor v(o). o*(o + 1)**2*(5*o + 2)**2/6 Let x(l) be the second derivative of -l**6/40 + l**5/5 - l**4/2 + 7*l**2/2 - 4*l. Let m(a) be the first derivative of x(a). Solve m(u) = 0. 0, 2 Let h(m) = -8*m**2 - 2*m. Let g(w) = -95*w**2 - 25*w. Let d(l) = 3*g(l) - 35*h(l). Factor d(x). -5*x*(x + 1) Let c(u) be the third derivative of 0 + u**2 + 0*u**5 + 0*u + 2/9*u**3 + 1/12*u**4 - 1/180*u**6. Factor c(j). -2*(j - 2)*(j + 1)**2/3 Factor 1/10*y**2 + 0*y - 2/5. (y - 2)*(y + 2)/10 Let y(k) be the first derivative of 0*k**3 + 4*k**2 + 1 - k + 1/10*k**5 - 1/2*k**4. Let u(v) be the first derivative of y(v). Factor u(w). 2*(w - 2)**2*(w + 1) Let v(x) = 4*x**3 + 10*x**2 - 24*x + 8. Let f(i) = i**3 - i**2. Let p(o) = 8*f(o) - v(o). Find t, given that p(t) = 0. 1/2, 2 Let c(o) be the third derivative of -o**8/210 - 2*o**7/75 - 19*o**6/300 - o**5/12 - o**4/15 - o**3/30 - 8*o**2. Factor c(z). -(z + 1)**2*(2*z + 1)**3/5 Let m(l) be the second derivative of l**7/273 - 2*l**6/195 - 3*l**5/130 + 13*l. Factor m(p). 2*p**3*(p - 3)*(p + 1)/13 Let o(x) be the first derivative of -2*x**2 - 5 + 0*x - 1/2*x**4 - 2*x**3. Factor o(u). -2*u*(u + 1)*(u + 2) Let n(f) be the first derivative of 80*f**3/3 + 6*f**2 - 8*f - 13. Factor n(u). 4*(4*u - 1)*(5*u + 2) Let i(f) be the second derivative of f**4/66 - 4*f**3/33 + 4*f**2/11 - 40*f. Factor i(b). 2*(b - 2)**2/11 Let d(a) be the first derivative of a**4/5 - 17*a**3/15 + 2*a**2/5 + 14. Factor d(v). v*(v - 4)*(4*v - 1)/5 Let l be 1/(-3) + (-80)/(-24). Let c be 1*(0 + 2 + 2). Factor -4/5*s + 4/5*s**l + 0*s**2 - 2/5*s**c + 2/5. -2*(s - 1)**3*(s + 1)/5 Let j(d) be the first derivative of -2 + 1/2*d**2 - 1/8*d**4 + 1/40*d**6 + 1/20*d**5 - 1/2*d**3 + 0*d. Let x(s) be the second derivative of j(s). Factor x(l). 3*(l - 1)*(l + 1)**2 Factor -14*r**4 - 6*r**3 - 28*r**2 + 4 - 2*r - 32*r**3 - 2*r**2. -2*(r + 1)**3*(7*r - 2) Let r(w) = w**2 - 3*w + 2. Let h(k) = k - 1. Suppose 5*y = -1 - 4. Let o(s) = y*r(s) - 3*h(s). What is c in o(c) = 0? -1, 1 Let j(c) be the first derivative of c**7/525 - c**5/50 + c**4/30 + 2*c**2 - 4. Let d(b) be the second derivative of j(b). Factor d(y). 2*y*(y - 1)**2*(y + 2)/5 Let x(r) = -r**2 - 4*r + 7. Let f be x(-5). Suppose 3*t + f - 8 = 0. Factor 2*m**4 - 1/2 - 5/2*m**3 + 5/2*m - 3/2*m**t. (m - 1)**2*(m + 1)*(4*m - 1)/2 Let b(i) = -2*i + 6. Let k be b(-10). Let m = k + -76/3. Factor -8/3*l - m*l**3 + 0 - 8/3*l**2. -2*l*(l + 2)**2/3 Let u(v) be the second derivative of -v**4/18 + 10*v**3/9 - 3*v + 12. Find j such that u(j) = 0. 0, 10 Suppose 10*v**3 - v**3 - 10*v**2 - 4*v**3 = 0. Calculate v. 0, 2 Let m = 4 - 2. Factor 2*z**3 + 0*z - 2*z**2 + 0*z - 2*z**4 + m*z**3. -2*z**2*(z - 1)**2 Let u(h) be the second derivative of h**4/60 - h**3/15 + h**2/10 - 2*h. Suppose u(b) = 0. Calculate b. 1 Let k(q) be the first derivative of 2/5*q + 2/5*q**2 + 2 - 1/5*q**4 + 0*q**3 - 2/25*q**5. Factor k(x). -2*(x - 1)*(x + 1)**3/5 Factor -4*l + 12*l + 5*l**2 - 2*l + 9*l. 5*l*(l + 3) Factor -7/4*s + 7/2*s**2 - 5/2 + 3/4*s**3. (s - 1)*(s + 5)*(3*s + 2)/4 Suppose 3*s - k - 8 = 0, 4*s - k + 5*k = 32. Let m be (-52)/(-1
{ "pile_set_name": "DM Mathematics" }
100000. 88100000 Round -0.0534804 to three dps. -0.053 What is -42749290 rounded to the nearest 1000000? -43000000 Round -48720.7 to the nearest one thousand. -49000 Round -1009.3298 to the nearest ten. -1010 Round -99013040 to the nearest one million. -99000000 Round 588720 to the nearest one thousand. 589000 What is 140.496 rounded to the nearest one hundred? 100 Round -44622650 to the nearest 100000. -44600000 What is 0.293565 rounded to 2 decimal places? 0.29 What is 1.38963 rounded to one dp? 1.4 What is -9.5723658 rounded to the nearest integer? -10 Round -0.000024324594 to six decimal places. -0.000024 Round 0.000000137006 to seven decimal places. 0.0000001 What is 3.0204866 rounded to two dps? 3.02 Round 12396.438 to the nearest 10. 12400 What is -0.3249114 rounded to three dps? -0.325 What is -150949.8 rounded to the nearest one thousand? -151000 What is 33.3354 rounded to the nearest 10? 30 Round 6.9123212 to one decimal place. 6.9 Round -0.00038089473 to four dps. -0.0004 What is -2024.21 rounded to the nearest 10? -2020 What is -2180299000 rounded to the nearest 1000000? -2180000000 Round 0.001771858 to 6 dps. 0.001772 What is -1819440 rounded to the nearest 10000? -1820000 Round 0.003866197 to five decimal places. 0.00387 What is 0.0000889521 rounded to five dps? 0.00009 Round 0.49774475 to three dps. 0.498 What is -0.003477407 rounded to 4 dps? -0.0035 Round 259.5642 to the nearest 10. 260 What is -52976300 rounded to the nearest 100000? -53000000 Round -0.4344994 to 4 decimal places. -0.4345 Round -14827.05 to the nearest one thousand. -15000 What is -0.101209 rounded to three dps? -0.101 Round 116.5738 to zero decimal places. 117 Round 9.00468 to the nearest integer. 9 Round -0.003222508 to 6 decimal places. -0.003223 What is 0.01034418 rounded to 5 dps? 0.01034 What is -209276.7 rounded to the nearest 1000? -209000 What is 0.0002741612 rounded to 6 decimal places? 0.000274 What is 0.000075632687 rounded to six dps? 0.000076 What is -3828470 rounded to the nearest 1000000? -4000000 Round -28.37783 to 1 dp. -28.4 Round 0.0000010736577 to 7 decimal places. 0.0000011 What is -0.000085139 rounded to six decimal places? -0.000085 Round 12526.73 to the nearest 10. 12530 What is -0.00017857 rounded to six decimal places? -0.000179 What is 112.3134 rounded to 1 dp? 112.3 Round 10241240 to the nearest one hundred thousand. 10200000 What is -97425900 rounded to the nearest one hundred thousand? -97400000 What is -0.04899939 rounded to five dps? -0.049 Round -726029000 to the nearest 1000000. -726000000 What is -61707.068 rounded to the nearest 100? -61700 Round -21.87501 to 1 dp. -21.9 What is -0.156015 rounded to one dp? -0.2 What is -5.52482 rounded to the nearest integer? -6 What is -503726 rounded to the nearest 10000? -500000 What is 7525.753 rounded to the nearest 1000? 8000 What is -24933.64 rounded to the nearest 10000? -20000 Round 4670570 to the nearest one million. 5000000 What is 0.10441743 rounded to 2 decimal places? 0.1 Round -0.00296249 to four decimal places. -0.003 What is 0.373324 rounded to 2 dps? 0.37 What is -0.033153031 rounded to 3 dps? -0.033 What is -0.00022693704 rounded to 7 decimal places? -0.0002269 Round 3.766651 to 3 decimal places. 3.767 Round -450829900 to the nearest 100000. -450800000 What is 0.07092477 rounded to 3 dps? 0.071 Round 0.0962872 to 3 dps. 0.096 What is -4047.71 rounded to the nearest 100? -4000 Round -0.003964581 to five dps. -0.00396 Round -0.01565805 to four dps. -0.0157 Round -0.00000204589 to 7 decimal places. -0.000002 What is 3761.838 rounded to the nearest ten? 3760 Round -38746.72 to the nearest one thousand. -39000 What is 2323.33 rounded to the nearest ten? 2320 What is 0.00000224076 rounded to 7 decimal places? 0.0000022 What is 0.1730532 rounded to 3 dps? 0.173 Round 0.017379141 to 4 decimal places. 0.0174 Round -42.84804 to the nearest ten. -40 Round -4249881 to the nearest 1000000. -4000000 Round 0.0019444687 to 4 decimal places. 0.0019 Round -2808.602 to the nearest 100. -2800 What is 12477837 rounded to the nearest 1000000? 12000000 Round 2.390705 to 2 dps. 2.39 Round -595.9902 to the nearest 10. -600 What is -0.3358616 rounded to four decimal places? -0.3359 What is -0.0233101 rounded to 3 decimal places? -0.023 What is 0.000063641 rounded to 5 dps? 0.00006 What is 4.825325 rounded to 1 decimal place? 4.8 Round -927998.2 to the nearest 10000. -930000 What is 2.636451 rounded to 2 decimal places? 2.64 Round 144.12336 to 0 decimal places. 144 What is 1780.32 rounded to the nearest one hundred? 1800 Round -0.001020964 to five dps. -0.00102 Round 39595.58 to the nearest ten. 39600 What is 0.3101123 rounded to 2 dps? 0.31 Round -45728180 to the nearest ten thousand. -45730000 Round -8672.13 to the nearest ten. -8670 Round -4907.24 to the nearest 1000. -5000 Round 0.0001055123 to 5 decimal places. 0.00011 Round 433.5735 to the nearest integer. 434 Round -0.0000109083 to 5 dps. -0.00001 Round -5.328991 to the nearest integer. -5 What is -17.07423 rounded to one dp? -17.1 What is -0.01225726 rounded to 5 decimal places? -0.01226 Round 2.615998 to two decimal places. 2.62 What is 6.0808812 rounded to one decimal place? 6.1 What is -1059197.3 rounded to the nearest ten thousand? -1060000 Round 0.0002265155 to 4 dps. 0.0002 Round 0.0000030802 to six dps. 0.000003 What is -0.00000548061 rounded to 7 decimal places? -0.0000055 What is 11.18666 rounded to the nearest integer? 11 Round -17299.5 to the nearest 100. -17300 Round -845822 to the nearest ten thousand. -850000 Round -2700.349 to the nearest one thousand. -3000 Round 314900370 to the nearest one million. 315000000 What is 79431.8 rounded to the nearest one thousand? 79000 Round 3.149643 to 3 decimal places. 3.15 Round 64235.5 to the nearest one hundred. 64200 What is 34.57678 rounded to one dp? 34.6 What is 5769298 rounded to the nearest ten thousand? 5770000 What is 0.00056846 rounded to 3 decimal places? 0.001 What is 0.00001357626 rounded to 7 decimal places? 0.0000136 What is -324778.8 rounded to the nearest 1000? -325000 Round 0.1333289 to three decimal places. 0.133 What is 95446.8 rounded to the nearest 1000? 95000 Round -285642800 to the nearest one hundred thousand. -285600000 Round 279583200 to the nearest one hundred thousand. 279600000 Round 0.00004424251 to seven decimal places. 0.0000442 What is 147776.25 rounded to the nearest one hundred? 147800 What is -5.022448 rounded to 0 decimal places? -5 Round 11388200 to the nearest one million. 11000000 What is 8436.933 rounded to the nearest 1000? 8000 Round 0.22181946 to three decimal places. 0.222 What is -0.000003865607 rounded to 6 decimal places? -0.000004 Round 0.00024827575 to 5 dps. 0.00025 What is -5446700 rounded to the nearest one hundred thousand? -5400000 Round 17.227915 to 1 decimal place. 17.2 Round 1247.7745 to the nearest one hundred. 1200 Round 934.8706 to the nearest ten. 930 What is -581333.28 rounded to the nearest 10000? -580000 Round 0.000000490403 to seven decimal places. 0.0000005 Round -0.000002462282 to 6 dps. -0.000002 Round 0.3049932 to four decimal places. 0.305 Round -0.0065728 to 4 decimal places. -0.0066 Round 2529910 to the nearest ten thousand. 2530000 Round -3198.126 to the nearest integer. -3198 Round 0.000000416269 to 7 decimal places. 0.0000004 Round -3945230 to the nearest one hundred thousand. -3900000 Round -171278.81 to the nearest 10000. -170000 Round -804816.6 to the nearest 100000. -800000 What is 0.0008503275 rounded to 5 decimal places? 0.00085 What is 4.5062 rounded to 2 decimal places? 4.51 Round -0.0001641559 to 4 dps. -0.0002 Round -0.00008326043 to 7 decimal places. -0.0000833 What is -51.9496 rounded to 1 dp? -51.9 Round 20.0477 to 2 decimal places. 20.05 Round 159945.36 to the nearest 1000. 160000 Round 515.2789 to the nearest ten. 520 What is -24.2303 rounded to the nearest integer? -24 What is -2231.108 rounded to the nearest 100? -2200 What is 2.90497 rounded to one decimal place? 2.9 Round -0.002001905 to 4 decimal places. -0.002 What is 0.0005152825 rounded to five dps? 0.00052 Round -0.937006 to three dps. -0.937 What is -34743.74 rounded to the nearest one thousand? -35000 What is -0.000012958457 roun
{ "pile_set_name": "DM Mathematics" }
15*u**2. Determine n(c(h)). 19836930*h**2 Let o(i) = -2*i**2. Let r(h) = 2*h**2 - 8*h + 2. Let f be r(4). Let w be (-5 + (-60)/(-9))*(1 + f). Let k(v) = -w*v**2 - 543 + 543. Give o(k(g)). -50*g**4 Let s(b) = 167*b - 2. Let n(a) = -5*a. Let q(j) = -6*j. Let m(g) = 7*n(g) - 6*q(g). What is s(m(t))? 167*t - 2 Let q(c) = -32*c - 60726. Let z(n) = -2*n**2. Give q(z(r)). 64*r**2 - 60726 Let q(u) = 7*u**2. Let p(k) be the second derivative of k**7/252 + k**4/6 + 31*k**3/6 - 48*k. Let w(y) be the third derivative of p(y). What is q(w(o))? 700*o**4 Let h(w) = -4*w**2 + 8*w. Let y(d) = d. Let m = 77 - 85. Let o(b) = m*y(b) + h(b). Let n(c) = 3*c + 3 - 3. Calculate n(o(g)). -12*g**2 Let f(s) = 5*s**2 - 2*s. Let j(a) = -14*a**2 - 15*a - 12. Let i(m) = 13*m**2 + 10*m + 8. Let r(p) = -3*i(p) - 2*j(p). Determine f(r(g)). 605*g**4 + 22*g**2 Let z(c) = -1386*c**2 - 54. Let i be (10/8)/((-43)/172). Let m(u) = 126*u**2 + 5. Let x(f) = i*z(f) - 54*m(f). Let p(r) = 3*r. What is p(x(d))? 378*d**2 Let o = 34 - 43. Let k(d) = 2*d - 9. Let z(n) = -n + 4. Let x(f) = o*z(f) - 4*k(f). Let i(p) = -110*p**2. Give i(x(m)). -110*m**2 Let z(m) = -5*m**2 - 3997*m. Let x(d) = -256*d + 2. Determine x(z(v)). 1280*v**2 + 1023232*v + 2 Let u(v) = -3*v. Let s be 11 + (-3 - 5/(-1)). Let n(b) = 4*b + 2*b + 2*b - s*b. Give u(n(l)). 15*l Let f(u) = -2*u. Let s(o) be the first derivative of 0*o**2 - 117 - 8/3*o**3 + 2*o. Give f(s(g)). 16*g**2 - 4 Let c(t) = -3*t**2. Suppose -8*y + 10*y - 2*v - 2374 = 0, -y + 5*v + 1175 = 0. Let j(w) = -1190*w - w**2 + y*w + 4*w**2. Determine j(c(g)). 27*g**4 Let n(h) = 8*h. Let x(d) = 2799042*d. Calculate n(x(s)). 22392336*s Let p = -10 + 17. Suppose 2*y = 4*n - p - 103, -4*y = 2*n - 80. Let b(z) = -32*z + z**2 + 62*z - n*z. Let s(l) = -3*l. What is b(s(r))? 9*r**2 Let k(x) be the third derivative of x**4/8 - x**3/6 - 697*x**2. Let o(n) = -9*n. Give k(o(z)). -27*z - 1 Let h(z) = -6*z. Let i(o) = 2*o**2 - 5*o - 34. Let a be i(7). Let g(n) = -26*n + 87*n - a*n - 30*n. What is g(h(m))? -12*m Let u(w) = -w - 1 + 1. Let b be (18822 - (-6)/2)/((-1)/(-2)). Let p(r) = 7*r + b - 37650. Give p(u(l)). -7*l Let x(v) = -139*v. Let l(i) = -491844*i**2. What is l(x(j))? -9502917924*j**2 Let b(p) = 3*p**2 - 5038363. Let c(n) = -3*n. Determine b(c(s)). 27*s**2 - 5038363 Let p(n) = 2*n - 1. Suppose -6 = -5*r + 3*r. Suppose -4*z = -r*q + z + 29, -32 = -4*q + 5*z. Let b(d) = d + q*d - 3*d. What is b(p(k))? 2*k - 1 Let o(l) = -35*l. Let j(v) = 8259363*v. What is o(j(q))? -289077705*q Let l(x) = -x**2 - 829*x - 2. Let z(o) = 498*o. Calculate z(l(p)). -498*p**2 - 412842*p - 996 Let m(t) = 5*t. Let q = 3 - -3. Let f(s) = s**2 - 6*s. Let h = -3583 - -3588. Let i(a) = h*f(a) + q*m(a). Let o(j) = 8*j**2. What is o(i(w))? 200*w**4 Let k = -1562 - -2244. Let b(n) = -n**2 + k*n - 682*n + 2*n**2. Let l(t) = 34*t. Calculate l(b(w)). 34*w**2 Let a(f) be the third derivative of -f**5/60 + 3*f**2. Let m(q) = 8798*q + q**2 - 17617*q + 8806*q. Calculate m(a(i)). i**4 + 13*i**2 Let t(j) = -3133*j - 1. Let w(m) = -111*m. Calculate t(w(v)). 347763*v - 1 Let s(g) = 1 + 1080181*g - 1080187*g - 1. Let b(p) = -94*p - 7. Determine b(s(x)). 564*x - 7 Let t(x) = -33*x**2 + 3. Let f(o) be the third derivative of -o**4/6 + 2*o**2 - 166*o. What is t(f(g))? -528*g**2 + 3 Let n(j) = j. Let o(g) = -375920*g**2 + g + 19. What is n(o(w))? -375920*w**2 + w + 19 Let x(h) = 47*h + 23*h - 71*h. Let n(s) = 1002*s. Determine n(x(b)). -1002*b Let u(j) be the second derivative of -2*j**3/3 + 4*j. Let b(m) = 23*m**2. Let r(f) = -1520*f**2. Let l(c) = -266*b(c) - 4*r(c). Calculate u(l(h)). 152*h**2 Let k(z) = z**2 - z - 10. Let w(c) = 18*c**2 - 11*c - 92. Let s(i) = 11*k(i) - w(i). Let q(h) = 3*h**2. Give s(q(j)). -63*j**4 - 18 Let u(n) = 2*n**2 - 329083 + 329083. Let t(w) = -w - 34. Determine u(t(j)). 2*j**2 + 136*j + 2312 Let n(d) = -9*d. Let j(c) = -3*c**2 - 12*c - 2. Let z(s) = 8*s**2 + 38*s + 7. Let q(v) = -7*j(v) - 2*z(v). Calculate n(q(b)). -45*b**2 - 72*b Let v(p) = -1212*p**2 - 7*p - 95. Let u(y) = -606*y**2 - 3*y - 38. Let m(n) = 5*u(n) - 2*v(n). Let b(i) = -i. Calculate m(b(c)). -606*c**2 + c Let k(a) = a**3 + 4*a**2 - 2*a - 6. Let l be k(-3). Let h = -7 + l. Let r(y) = -4191*y - y**h + 4191*y. Let n(u) = -22*u. Give n(r(m)). 22*m**2 Let x = 67 - 65. Let q(b) = 2*b**x - 328 + 328. Let m(p) = 0*p - 3*p + 6*p. Give q(m(w)). 18*w**2 Let l(m) = -272*m - 850. Let y(b) = -13*b - 40. Let w(v) = 4*l(v) - 85*y(v). Let x(k) = -153*k**2. What is w(x(p))? -2601*p**2 Let l(p) = -155*p**2. Let w(a) = 23520*a. Determine l(w(m)). -85744512000*m**2 Let o(u) = -9*u**2. Let y(x) be the second derivative of 17*x**4/24 - 53*x**2/2 + 111*x. Let b(w) be the first derivative of y(w). Calculate o(b(z)). -2601*z**2 Let u(b) = -116*b. Let n(a) = 4085*a**2 - 2*a - 3. What is u(n(y))? -473860*y**2 + 232*y + 348 Let p(c) be the second derivative of -8*c**3/3 + 3*c**2/2 - 14202*c. Let o(b) = b. Determine p(o(a)). -16*a + 3 Let p(a) be the third derivative of 142*a**2 + 1/30*a**5 + 0*a**4 + 0*a**3 + 0*a + 0. Let m(n) = 37*n + 1 - 1. Calculate p(m(d)). 2738*d**2 Let g(k) = 2*k. Suppose -5*w + 2*z + 80 - 36 = 0, -50 = -5*w + 5*z. Let x(u) = -70*u + 2. Let f(b) = -26*b + 1. Let c(q) = w*f(q) - 3*x(q). Determine g(c(v)). 4*v + 4 Let z(h) = 2*h. Let x(r) = -4469790*r**2. Determine x(z(k)). -17879160*k**2 Let x(m) = -25835*m. Let r(q) = -196*q**2. What is x(r(t))? 5063660*t**2 Let g(p) = -3*p**2 + 10*p. Let k(f) = -96351*f. Give k(g(n)). 289053*n**2 - 963510*n Let b(j) be the third derivative of -4859*j**4/12 + 2*j**2 - 4*j + 794. Let r(v) = v**2. Give r(b(w)). 94439524*w**2 Let d(h) = -7*h + 4*h + 2*h + 7. Let a(p) be the first derivative of p**2 + 1633. Give a(d(f)). -2*f + 14 Let b(w) = -11*w - 3. Let n = -140 - -144. Let t(i) = 14*i + 4. Let g(q) = n*b(q) + 3*t(q). Let z(y) = -72*y**2 + y. Calculate g(z(j)). 144*j**2 - 2*j Let y(l) = -15*l. Suppose 0 = 5*t + 4*p - 156, 2*t - 6*t = -5*p - 92. Suppose t*m + 273 = 31*m. Let b(v) = 91 + v - m. Determine y(b(j)). -15*j Let j(c) = 3*c. Suppose 0 = 2*h - 5*f - 9, -5*h + 8 + 0 = 2*f. Let s(k) = -217*k + 428*k + 35*k**h - 211*k. Calculate s(j(v)). 315*v**2 Let m(v) = -2*v. Let o(r) = -1522*r - 1414*r + 323*r. Give m(o(y)). 5226*y Let t(q) = -q**2 - 13*q - 7. Let g be t(-11). Let j(s) = 5*s - 5*s - g*s + 4*s. Let p(w) = 2*w. Calculate p(j(n)). -22*n Let v(j) = 375572*j. Let b(o) = -5*o**2. Calculate v(b(m)). -1877860*m**2 Let u(n) = -26*n**2. Let h(s) = 37*s + 12. Let x(w) = -13*w - 3. Let b(z) = 3*h(z) + 12*x(z). What is b(u(r))? 1170*r**2 Let n(f) = 2*f**2. Let t(j) = -12*j - 9*j + 350 + 38*j - 15*j. What is t(n(a))? 4*a**2 + 350 Let r(t) = -18*t. Let u(x) = -13*x + 76. Let c(i) = -18*i + 112. Let s(q) = 5*c(q) - 7*u(q). Calculate s(r(f)). -18*f + 28 Let f(b) = -2*b**2. Let a(m) be the first derivative of 3*m**4/2 - 27*m + 86. Let z(g) be the first derivative of a(g). Calculate f(z(s)). -648*s**4 Let x(o) = 8*o**2. Let m(t) = 8326437*t. Give m(x(f)). 66611496*f**2 Let l(z) be the third derivative of -z**5/15 + 3*z**2. Let k(b) be the second derivative of -2*b**3/3 + 7749*b. Calculate l(k(q)). -64*q**2 Let r(o) = 3696*o. Let v(t) = -7080*t. Determine v(r(z)). -26167680*z Let s(v) = 121*v**2 - 6*v. Let m(h) = 243*h**2 - 14*h. Let x(j) = -4*m(j) + 9*s(j). Let r(a) = -143*a - 148*a + 293*a. Calculate r(x(t)). 234*t**2 + 4*t Suppose r + 1 + 1 = 0. Let j(a) = -a**2 - 3*a + 2*a + 468 - 469. Let c(w) = -4*w**2 - 2*w - 2. Let u(n) = r*j(n) + c(n). Let f(g) = 54*g**2. What is u(f(q))? -5832*q**4 Let f(o) = -185827 + 185827 - 4*o. Let z(c) = -3*c**2 + 6*c - 9*c - 4*c**2. Determine z(f(h)). -112*h**2 + 12*h Let b(c) = 4*c**2. Let x be ((4 + -3)*-9)/((-3)/6). Suppose 11*k = 14*k - x. Let l(a) = 3 - 11*a - k + 3. Calculate l(b(f)). -44*f**2 Let z(m) = 6*m**2 + 3. Let v(a) = 7*a**2 - 5. Let t(p) = -6*p**2 + 4. Let r(o) = -6*t(o) - 5*v(o). Let l(x) = -3*r(x) + z(x). Let g(j) = j**2. Give g(l(i)). 9*i**4 Let i(u) = -416*u**2 - 343*u**2 + 754*u**2. Let b(o) = 113*o. Give i(b(h)). -63845*h**2 Let j(m) = -70*m - 1. Let n(h) = -52*h**2 + 12*h + 6. Let r(x) = 43*x**2 - 10*x - 5. Let s(b) = -5*n(b) - 6*r(b). Determine j(s(z)). -140*z**2 - 1 Let y(z) = 2*z**2 + 988*z. Let j(w) = 4*w**2 + 231. Give y(j(r)). 32*r**4 +
{ "pile_set_name": "DM Mathematics" }
3*n + 5 + 4 = 0. Suppose -4*t + 11 = -n*b + 169, -4*t = 20. Is b greater than 0.1? True Let p(y) = y**3 - 2*y**2 - 4. Let q be p(2). Let r be ((-7)/q - 2) + 0. Is r <= 0.6? True Let y = -4.05 - -0.05. Let u = 83 - 79. Let i = u - y. Is -0.1 bigger than i? False Let b be 504 - 10*7/14. Is b bigger than 497? True Suppose -74 = 5*x - 24. Let o = 10 + x. Which is smaller: o or 3/5? o Let i = 353622/125 + -2829. Which is smaller: -1 or i? -1 Let s = 3 + -3.2. Let q = s - -1.2. Let u = q + -1. Which is smaller: 2/5 or u? u Let l be ((-6)/(-144)*-4)/(1/(-6)). Which is greater: 7 or l? 7 Suppose -5*i - 1364 = -2*d, 5*d + 26 - 11 = 0. Which is smaller: i or -275? -275 Let k = 14 - 12. Let b be k/(-1) + 46 + 2. Let c be b/(-3) + (-12)/(-9). Is -13 at least c? True Let y be (9 - (-56)/(-6))/(2/(-234)). Is 36 <= y? True Let a be (-3)/((-3)/(-2)) + 27 + -25. Let u be 7 + (0 + 2)*-1. Let z be 14/(-60) + 2/u. Which is greater: a or z? z Let p = -2478 - -378. Let q = p + 18878/9. Is q bigger than -3? True Suppose 10 = 2*n - 3*x, 2*n - 7*n - x = -8. Suppose 5*u - 14 = -2*g + 25, 53 = 3*g + n*u. Let s = g - 13. Is 5 at least as big as s? True Let a = -1.3 + 0.3. Let y = -0.04 + 0.16. Let i = -0.13 + y. Is a at most as big as i? True Let a(i) = -i**2 + 6*i - 5. Let s be a(3). Suppose 7*k = 2*k + f + 15, k - 4*f = 3. Let j be ((-9)/k - -1)/s. Which is greater: -2 or j? j Let h = -499 + 475.3. Let f = 0.3 - h. Let c be ((2 + -2)/9)/1. Is c not equal to f? True Suppose -4*p - 5*r + 38 = 0, 0 = -p - 2*p + 2*r + 40. Let j be (3 + -4)/(2/(-30)). Let u = -4 + j. Is u not equal to p? True Suppose -i = 4*h + 12, -9 = 3*h + 3. Suppose 0 = 4*u - 2*b - 10, i*b - 12 + 32 = 5*u. Let j be ((-54)/30)/(1 + u). Which is smaller: -1 or j? j Let t = 31 - 30.7. Let c = t - 2.3. Let b = -1.6 - 0.4. Is b smaller than c? False Suppose 0 = 5*d + 4*r + 8, -3*d + 3 = 4*r + 11. Suppose d = 2*a - 2*g - 10, 2*a - 2*g - g = 14. Which is smaller: a or 2/19? 2/19 Let g(x) = 8*x**3 + x**2 - 4*x + 3. Let h be g(2). Suppose 4*w + h = 19. Are w and -112/9 nonequal? True Let t(q) = q**3 + 2*q**2 + 2*q. Let p be t(-2). Let g = -49 - -41. Let j be ((-20)/g)/((-5)/p). Is 0 greater than or equal to j? False Suppose 23 = -2*d + 3*h - 8*h, -2*d - h = 3. Let c be 4/30*27/2. Is c greater than or equal to d? True Suppose 12*o - 22*o - 20 = 0. Is 22 smaller than o? False Suppose i - 48 - 85 = 2*a, -i - 4*a + 163 = 0. Is i > -0.1? True Let h be 4*(-2)/(-8)*7. Let r = 32 - 29. Suppose -3*t = 2*t - 2*f - 40, -t + 8 = r*f. Which is bigger: h or t? t Suppose -247 = -3*l + 2*f, 2*f = 3*l + f - 242. Which is smaller: l or -1/3? -1/3 Let h be (3/4)/((-1)/4). Let b(o) = -o**3 - 4*o**2 - 4*o - 4. Let i be b(h). Let u = 802 - 24860/31. Is i at most as big as u? True Let p = -0.4 + 4.4. Let a = p + -5. Which is greater: a or 1/5? 1/5 Suppose 0 = 5*z - 5*s - 5, -2 = -z - 2*z + 4*s. Suppose -5*r + a = -88, -22 = -2*r + z*a + 18. Is r greater than 15? True Suppose -4*l + l + 27 = 0. Let t be (12/l + -2)*36/(-4). Suppose 5*h = 3*w + 36, -w - 19 = -4*h + 7. Is h bigger than t? False Let m = -176 + 77. Let z = m - -100. Is z < -0.1? False Suppose 0 = -6*v - 837 - 243. Let p = v + 367/2. Which is smaller: p or 4? p Let y(j) = -j**3 - 31*j**2 + 101*j - 14. Let l be y(-34). Which is smaller: 13 or l? 13 Let w be 2 - (2/133)/((-24)/(-5080)). Let y = w + -14/57. Is y greater than 1/2? False Let w = 29.27 - 29. Let q = 0.7 + 1.3. Which is smaller: q or w? w Let j be (-1)/(-2 - (-58)/26). Suppose -4*f = 5*d + 2, -4*f = -5*d + f + 25. Let b be 1*4*d/(-2). Which is smaller: b or j? j Suppose -2*d = -5*n - 18, -18*d + 23*d + 13 = -2*n. Is 2/3539 < d? False Let u(f) = 2*f**3 + 35*f**2 + 17*f - 1. Let k be u(-17). Which is bigger: -15/16 or k? -15/16 Let v = -842 - -842. Is 3.56 less than v? False Let v = -1.53 + -231.47. Which is smaller: v or 2? v Let g be (-6)/(-4)*(-10)/15. Suppose -u - 5*f - 27 = 0, 5*u + 3*f + 69 = -0*f. Let i be 4/(8/u*3). Is g less than i? False Let i = 5684 + -15973/3. Which is smaller: i or 361? i Let m = -9 - -8.96. Let r = -0.16 + m. Let i be -3 + 26/7 - 1. Which is smaller: r or i? i Let y = 1/62 - -55/434. Which is smaller: y or 0? 0 Let c be 1 - (-6 - -1 - -4). Let k be (-574)/(-28) - c/4. Let l = -11 + k. Is l less than or equal to 10? True Let l be (-2)/15 - 5962/(-165). Let y = 38 - l. Is y equal to 0? False Let u be (2/38)/(0 + -3). Let j = -334 - -333. Does j = u? False Let y = -55.3 + 43.3. Which is bigger: -5/16 or y? -5/16 Let t = 21/16 - 137/80. Which is smaller: -0.175 or t? t Let u = 39/10 + -4. Let t = 3.5 + -3.19. Let q = -2.31 + t. Is q less than or equal to u? True Suppose 34*k - 92*k = -78648. Is 1355 <= k? True Let z be (-8)/(-3) + 4/(-6). Suppose 4*u - 5*b = -b - 8, -z*u = -4*b - 6. Are -4 and u equal? False Let c = -422 - -17725/42. Let l be ((-61)/63)/(11/((-33)/(-4))). Let i = c - l. Which is smaller: i or 0? 0 Suppose 4 = -3*t - 2*y, -4*t + 15*y - 10 = 20*y. Which is bigger: t or -0.163? t Let s = 8 + -8. Suppose 4*h + 3*j + 47 = 0, h - 2*j + 9 = -s*j. Is -13 at most as big as h? True Suppose 0 = -0*k - 5*k - 150. Let s = 44 + k. Let v = -1030 - -1044. Are v and s nonequal? False Suppose 3*r = 2*g + 14, 0 = -4*r + 5*g + 23 + 5. Suppose 4*p + l - r*l = 28, 0 = -4*l - 16. Suppose -p = -y - 3*j + 2, -3*j - 12 = -3*y. Are 2 and y non-equal? True Let p be (6 + -5)/(57/(-444)). Which is greater: p or -9? p Let d = -281536/7 + 40300. Let i be (-1 + 50/(-4))/((-15)/90). Let g = d - i. Which is greater: -1 or g? g Let y(h) = 22*h + 571. Let t be y(-26). Is 4/133 greater than or equal to t? True Suppose -r + 5*r = 2*h + 42, -2*h - 54 = -5*r. Let g = 30 - r. Which is smaller: 19 or g? g Let o = 1 - 0.7. Let n = o + -0.8. Let m = n + 6.5. Is m at least as big as 0.2? True Let n(y) = y**2 + 7*y - 19. Let d be n(-12). Which is greater: d or 39? d Suppose 4*x = -q - 27, -q = 2*x + 3 + 12. Let w be ((-120)/198)/(4/x). Which is bigger: 0 or w? w Suppose -30*q = -35*q - 5. Let t be q/(3 + (8/(-4) - 2)). Is t < -13? False Suppose 11*s = 27*s + 272. Suppose 0 = 18*j - 16*j + 36. Are j and s non-equal? True Suppose -r + 2 = m, 3*r - 13*m - 22 = -8*m. Suppose 2*i + 3*i = -4*n + 43, n = -4*i + 30. Let u = -2 + i. Is u greater than r? True Let b(u) = u**3 + 2. Let c be b(0). Suppose -4*f - 4 = 0, 3*f + 6 = c*z + z. Let k be z*3*14/6. Is 7 smaller than k? False Let m be (-4)/(-174)*2*3/(-24). Which is smaller: m or 1? m Suppose -4*q + 20 = 8. Which is smaller: -36/7 or q? -36/7 Suppose 0 = 4*i + i + 4*a - 60, -2*i + 24 = -5*a. Let j be 1/(-1 - i/(-9)). Let t be 10/25 - (52/(-45) - 0). Is t >= j? False Suppose -293 = 5*r + 5*z - 773, 5*z = r - 102. Is 98 at least as big as r? True Let m = 1675 + -1674.2. Which is smaller: -3/22 or m? -3/22 Let v(h) = 6*h - 3. Let x be v(5). Suppose -4*o = x + 1. Suppose 0 = -5*z - 20, -12 = 4*b - 5*z + 3*z. Which is bigger: b or o? b Let p = -68 - -38. Let g be 5/(p/4) - (-4)/6. Which is smaller: g or -11? -11 Suppose -234*v - 17 = -251*v. Let m be (-1 - 1)/(-1 - 1). Is m bigger than v? False Let b be ((-3)/(-2))/((-3)/(-4)). Suppose -b*z = -3*p - z + 4, -4*p + 20 = -5*z. Which is smaller: -1 or p? -1 Let k = 10695/14 + -1326/7. Let c = k - 591. Is -17 equal to c? False Suppose -10*z = -z. Suppose z = -2*o + 2*m + 108, -m + 2*m + 219 = 4*o. Is 56 not equal to o? True Let d be -17 - -1 - (-10 - -7). Suppose 11*q - 7*q - 4 = 0. Is d less than q? True Suppose 5*l = 2*k + 9, k + 6*l = l + 18. Suppose 3*g + k*q = -6, 4*g - 5*q = -10*q - 3. Let c be 4/14*g/9. Which is smaller: 0 or c? c Let m = -1465 - -110. Is -1355 != m? False Let v(k) = -2*k + 7. Let z be v(1). Let g be ((-5)/490)/(z/10). Which is bigger: g or -1? g Let u(d) = 3*d - 1. Let q(v) = -2*v + 2. Let p be q(1). Let x be u(p). Which is bigger: -33 or x? x Let g be 12/20*(-1 - 542/(-8)). Let m = 163/4 - g. Is 0 greater than or equal to m? False Suppose 2*y + 349 = 19. Let o = y - -1159/7. Let l be 0*(-1)/2*2. Which is smaller: l or o? l Suppose -4*v = -14 - 14. Are v and -3 nonequal? True Suppose 2375 - 345 = -14*r. Is r > -144? False Let m be 6/33*1323/14. Let p = -18 + m. Is p <= 0? True Let r = 826 - 136291/165. Is -1 <= r? True Let r be (-10)/(-24) + 24/(-9) + 2. Is r <= 44? True Suppose -10 = -5*a, 4*a = 4*h + 2
{ "pile_set_name": "DM Mathematics" }
Give w(q). -9 Let l(a) be the third derivative of -7*a**5/60 + a**3/6 + 190*a**2. Calculate l(1). -6 Let d(t) = -5*t**3 - 5*t**2 - 5*t + 5. Let i be ((-56)/49)/(2/(-7)). Let f(z) = -4*z**3 - 5*z**2 - 5*z + 4. Let v(s) = i*f(s) - 3*d(s). What is v(-4)? 5 Let v(x) be the third derivative of -x**5/30 - x**4/8 + x**3/3 - 219*x**2. Determine v(2). -12 Let o(k) = 2*k**2 + k - 1. Let f(y) = -y**2 + 13*y - 25. Let j(v) = -3*v + 32. Let x be j(7). Let c be f(x). Determine o(c). 14 Let f(z) be the first derivative of -4*z - 1/3*z**3 + 8 + 5/2*z**2. Calculate f(6). -10 Let o(p) be the first derivative of -6 + p**2 + 0*p + 1/24*p**4 + 2*p**3. Let y(w) be the second derivative of o(w). Give y(-6). 6 Let d be 2 - 2 - 0/1. Suppose -r + 2*l = 1 + 5, -2*r + 2*l - 6 = d. Let m(u) be the second derivative of u**4/12 - 5*u**2/2 - 849*u. Give m(r). -5 Let i = -174 - -169. Let k(u) = 5*u + 9. Let z(r) = -r - 5. Let c(h) = 4. Let v(q) = -5*c(q) - 6*z(q). Let a(g) = -3*k(g) + 2*v(g). Determine a(i). 8 Suppose m - x - 2 = 0, 5*m = -5*x + 4*x - 2. Let z(q) = -q**3 - q**2 - 1. Determine z(m). -1 Suppose 0 = 4*y + 2*r - 10, r = 2*r + 5. Let l(b) = 4*b + 6. Determine l(y). 26 Let s(c) be the second derivative of -c**2 - 2*c + 2 + 1/12*c**4 - 1/3*c**3. Calculate s(5). 13 Let g(b) = b**3 + 7*b**2 + 4*b - 3. Let i = 73 - 50. Suppose 9*n - 84 = i*n. What is g(n)? 9 Let c(n) = -n + 16. Let v be c(13). Let p(w) = -4 + 2 + v + w - 2. Let j(y) = -3*y + 11. Let q(g) = -j(g) - 4*p(g). What is q(-5)? -2 Let o(t) = 3 + 6870*t**2 - 2 + 8*t - 6878*t**2 + t**3. What is o(7)? 8 Let l(f) = -f + 11. Let c be l(-17). Suppose 0 = b + 6*b + c. Let s(g) = -2*g - 2. Determine s(b). 6 Let o(g) be the second derivative of -g**5/20 + g**4/3 + g**3/2 - 3*g**2/2 - g. Suppose -46*y = -200 + 16. Determine o(y). 9 Let c = 3005 + -3003. Let f(p) = -p + 1. Let m(a) = 3*a - 2. Let k(s) = -5*f(s) - m(s). Give k(c). 1 Suppose 7*y - 24 = -y. Suppose 2*l - 14 = -2*g + 2, y*g = 2*l + 14. Let q(t) = -t**2 + 3*t + 7. Determine q(g). -11 Let v(o) = -2*o - 10. Let j be (-14)/4*(-120)/(-35). Determine v(j). 14 Let l(p) be the first derivative of p**2 - 8 - 4/3*p**3 - p. What is l(1)? -3 Let x(s) = -3*s**3 - 1. Suppose 0 = -14*m + 20*m. Let i be 3 - 1 - ((-2 - m) + 5). Calculate x(i). 2 Let d = 39 + -37. Let p(l) = 6*l + 0*l - 1 - l - 3*l**2 + 2*l**d. What is p(5)? -1 Let s(q) = 5 + 213*q - 109*q - 103*q - q**2. Suppose -16 = -2*p - 2*p. What is s(p)? -7 Let a(l) = l**3 + 8*l**2 + 7*l - 3. Let m = 48 + -50. Let k(r) = 7*r + 7. Let w be k(m). Give a(w). -3 Let a(i) = -2*i. Suppose -5*c + 10*c = r + 21, -4*c + r + 16 = 0. Let h(m) = 4*m**2 + 6*m - 614 + 307 - m**3 + 308. Let p be h(c). What is a(p)? -12 Let o be (-5)/(-2)*1*2. Let c(g) = 2*g + 5*g - 15*g + 3*g + 1 + 7*g. What is c(o)? 11 Suppose 9*w + 179 = 179. Let r(c) = -c**2 - c - 43. Determine r(w). -43 Let l(p) = -3*p**2 - 9*p - 6. Let v be l(-3). Let u(s) = s**2 + 4*s + 5. Give u(v). 17 Let b(n) = n**2 - 38*n - 5. Let g(v) = v**2 - 32*v - 4. Let p(m) = -4*b(m) + 5*g(m). Give p(9). 9 Let m(x) = 9*x + 3*x - 29*x - 8 + 12*x. Calculate m(-9). 37 Let l(q) = -q**2 - 2*q - 4. Let b(i) = -i**3 + 9*i**2 - i + 5. Let n be 2 - (-3 + -1) - 2. Suppose 38 - 2 = n*o. Let d be b(o). Calculate l(d). -12 Let m(w) = -281*w + 576*w + 1 + w**2 - 289*w. Suppose -2*r = f, -5*f - 14 = -0*f - 4*r. Let z = f - 2. Determine m(z). -7 Let k(s) be the second derivative of -5/6*s**3 + 0 - 4*s**2 - 1/12*s**4 + 9*s. What is k(-6)? -14 Let x(h) = -37 + 14 + 7*h + 20. Determine x(-2). -17 Let z be ((270/(-12))/5)/(11/(-22)). Let x(u) be the first derivative of z + 1/2*u**2 + 0*u. Calculate x(0). 0 Let g(l) be the second derivative of 2*l**3/3 + 5*l**2 - 67*l. What is g(-7)? -18 Let d(s) = -s**2 - s - 1. Let i(t) = 6*t**2 + 2*t + 3. Let a(o) = 4*d(o) + i(o). Determine a(-2). 11 Let n(y) = 70*y**2 - y. Let g be n(-1). Suppose 2*q = -b + 12 + 7, 4*q - g = -5*b. Let f(d) = -b - d**2 + 2 + 4 + 4*d + 1. Calculate f(3). -1 Let f be (-4)/(-2) + 1 - -3. Suppose 2*n = f*n - 40. Let q = 10 - n. Let a(g) = -g - 6. Determine a(q). -6 Let n(u) = u - 1. Let s be (84/8)/3*-2. Let c be ((-11)/(-2))/(2/4). Let p = s + c. Calculate n(p). 3 Let s(r) = r**2 - 11*r + 2. Let d be s(11). Let c be (-2)/12 + (-169)/(-78). Let w(l) = -4 - 5*l**2 + c*l + l + 2. Determine w(d). -16 Suppose 6 = 4*u - 22. Suppose 6*h = u*h - 8. Let l(p) = 7 - 6*p + h*p - p**2 + 2*p. Determine l(6). -5 Suppose 6*l + 0*l = 156. Let t be (3/2)/(l/(-52)). Let m(k) = -k**2 + k + 3. What is m(t)? -9 Suppose 69 - 55 = -2*s. Let a(x) = -x - 1. Let l(c) = -2*c - 1. Let m(h) = 3*a(h) - l(h). What is m(s)? 5 Suppose 0*d = 2*d + 2*f - 8, -2*d - 5*f + 5 = 0. Let y(q) = -q**3 + 3*q**2 + 4*q + 6. Calculate y(d). -24 Let o(z) = -z**3 + 5*z**2 + 6*z - 7. Suppose i = 11*i - 4*i. Suppose 2*u + g - 17 = i, 4*u - 3*g = 15 - 6. What is o(u)? -7 Let f = -28 + 29. Let r(o) = 6*o - 6*o - 10*o - o + f. What is r(1)? -10 Let i(q) be the second derivative of q**6/360 - q**5/60 - q**4/12 - 17*q**3/6 - 20*q. Let o(g) be the second derivative of i(g). What is o(3)? 1 Let l be 4 + ((-6)/(-10))/(9/(-45)). Let b(x) be the second derivative of -x**3/3 + x**2 - 2*x. Let w(f) = f - 1. Let p(c) = l*b(c) + w(c). What is p(-1)? 2 Let s(q) = 53 + 2*q + q - 52. What is s(0)? 1 Let d(h) be the third derivative of h**6/120 - 7*h**5/60 + h**4/4 + 7*h**3/6 - 21*h**2 - 2*h. Determine d(6). 7 Let p(c) = c**3 - 4*c**2 - c + 5. Let u be p(4). Let d(k) = -8*k**3 + k**2 - k + 1. What is d(u)? -7 Suppose -4*o + 2*h = 2, 5*o - 6*h = -2*h + 2. Let i(a) = a - 6. Let j(x) = 2*x - 13. Let z(y) = o*j(y) + 5*i(y). Calculate z(-3). -7 Let y(x) be the third derivative of x**6/120 + x**5/60 + x**4/12 - 10*x**3/3 - 881*x**2. Give y(0). -20 Let d(s) = -135 + 4*s - 5*s + 133. What is d(-9)? 7 Let b = 32 + -31. Let k(n) = 6*n - 2 + b + 5 - n**2 - 1. Calculate k(6). 3 Suppose 0 = -4*i + 3*o + 17, 4*i + 5*o = -0*i - 7. Let n = 46 - 43. Let b(y) = -i*y**2 + y**3 + 0*y**n - 2*y**3 + 7*y**2 + 2 + 6*y. Give b(6). 2 Let g(r) = -r**3 + 5*r**2 - 2*r + 2. Suppose -2*a = -0 - 12. Let p be 4*3*a/18. Determine g(p). 10 Let w(x) = 14*x**2 + 7*x. Suppose -8*p + 14 + 10 = 0. Let n(r) = -7*r**2 - 4*r. Let l(f) = p*w(f) + 5*n(f). Give l(-1). 6 Let u(j) = -11*j**3 - 4*j**2 - 6. Let b = 17 - 22. Let v(k) = -10*k**3 - 5*k**2 - 7. Let r(y) = b*v(y) + 6*u(y). What is r(1)? -16 Let x be 42/(-35)*(-15)/9. Let q(i) be the third derivative of 0*i + 0 - 1/6*i**3 - 5/12*i**4 - 8*i**x. Determine q(1). -11 Let n(m) = -m**2 + 9. Suppose 54 = f - 2*f. Let g be (-4)/(-18) - (-12)/f. Calculate n(g). 9 Let g = 124 + -126. Let h(z) be the third derivative of z**5/60 + z**3/6 - 8*z**2. What is h(g)? 5 Let g = -2083 + 2068. Let o(t) = t**2 + 18*t + 8. Give o(g). -37 Let j(d) be the second derivative of d**4/6 + 2*d**3/3 + 3*d**2/2 - 4*d. Suppose -5 + 17 = -4*t. What is j(t)? 9 Let f(k) = 0 - 79*k**2 + 0 + k - 4 + 78*k**2. Let v(q) = 2*q**2 - q + 5. Let l(m) = -5*f(m) - 4*v(m). What is l(2)? -14 Let m(l) = -37*l**2 + 3*l + 2. Let s(h) = -72*h**2 + 7*h + 5. Let p(d) = -5*m(d) + 2*s(d). Determine p(-1). 42 Let b(v) = -v**2 + 6*v - 1. Let l(c) = c**3 - 8*c**2 + c - 4. Let n be l(8). Let q(h) = -6*h + 6. Let k be q(n). Let g = -13 - k. Give b(g). 4 Let w(b) be the first derivative of b**2/2 + 2*b + 106. Suppose 3*q + y + 7 = -0*y, 0 = -5*q - 5*y + 5. Determine w(q). -2 Let f(c) = 15*c**2 + c - 5. Let h(r) = 6*r**2 + r - 3. Let m(g) = -3*f(g) + 5*h(g). Give m(-1). -17 Let k be 498/415 - 2/10. Let z(h) = -13*h**3 - h**2 + 2*h. Give z(k). -12 Let k(o) be the second derivative of o**3/6 - 5*o**2/2 + 45*o + 2. Give k(8). 3 Let r(b) = -b**3 - 6*b**2 - 8*b - 6. Let n be 1/(-2) - (-108)/8. Let v = 14 - n. Suppose f + v = -4. Calculate r(f). 9 Let c(k) = 11*k + 6. Let d(v) = -13*v - 10. Let a(o) = -38*o - 29. Let l(h) = 6*a(h) - 17*d(h). Let p(i) = -5*c(i) - 8*l(i). Give p(-1). 1 Let f(m) be the third derivative of m**4/24 + 99*m**2 + 2. What is f(5)? 5 Let p(i) = 14*i - 3. Suppose 0 = -3*q + 3*u + 3, -3*q + 1 = -u - 4*u. What is p(q)? 25 Let w = -7 - -11. Let n(a) = -w*a - 1 + 1. Let m be 7/(-3) + (-24)/36. Calculate n(m). 12 Let v(q) = -q + 5. Let r(j) = j - 11 + 0*j - 4*j + 4*j. Let x be r(-5). Let s = x - -22. What is v(s)? -1 Let b(p) = -34*p + 4 +
{ "pile_set_name": "DM Mathematics" }
Suppose 20 = -5*h, 5*h - 7*h - 13 = -f*i. Solve -i - 1 = -j for j. 2 Let g be ((-1)/(-1) - -6) + -30 + (-504)/(-14). Solve -3*v - 10 = -g for v. 1 Let a be -6 - (-412)/12 - (-4)/6. Let f be 3/(-6)*(-48 - (2 + 0)). Suppose -5*x = -2*k + 4*k - a, 0 = 5*x - f. Solve k*d + 2*d = 0 for d. 0 Let l(j) = j**2 - 7*j - 18. Let r be l(-2). Suppose 0 = -y + 4*s + s + 33, 4*y - s - 37 = r. Solve -3*z - y = z for z. -2 Suppose 533 + 514 = 54*w + 237. Solve -90*p - w = -95*p for p. 3 Suppose 5*g + 15*g - 200 = 0. Suppose g*n + 2*n = 24. Solve -20 + 26 = -n*i for i. -3 Let v = 2440 + -2350. Solve -32 = -29*y - v for y. -2 Suppose 3*b - 144 = 3*t, 20*b = 23*b + 5*t - 120. Solve -8 = 47*c - b*c for c. -4 Let c(d) = 5*d + 18. Let v be c(-3). Let j(y) = 3*y**2 - 7. Let p be j(3). Let q(g) = -g**2 - 7*g - 6. Let m be q(-6). Solve m = -u - v*u + p for u. 5 Let v = -277 + 280. Suppose -27 = -v*f - 0*f - 4*n, -5*n + 25 = 2*f. Solve 0*i - f*i + 20 = 0 for i. 4 Let b(c) = -c**3 + 3*c**2 + 6*c - 14. Let q = -28 - -31. Let d be b(q). Solve 0 + 8 = d*a for a. 2 Let n be 25/(-10) + 3 + 691/2. Solve 0 = -349*d + n*d - 3 for d. -1 Let c be 654*7/2*(-49)/(-343). Solve 30*u + c = 357 for u. 1 Let v(p) = -p**3 - 4*p**2 - 7*p - 8. Let m be v(-4). Let h = -15 + m. Suppose 4*j + k = 8, h*j - 10 = k - 5*k. Solve -j*u = 3*u - 15 for u. 3 Suppose 0 = -2*l + 4, 5*l + 3 = 2*k + 9. Suppose j - 4 + 1 = p, 2*j + k*p = 18. Solve 0 = -j*d + 7*d for d. 0 Suppose -3*n = -6 - 54. Suppose 0 = -5*t - n + 120. Let a = 0 + t. Solve -m - a = 4*m for m. -4 Let g(d) be the first derivative of d**6/360 - 3*d**5/40 + d**4 + 4*d**3/3 - 8. Let l(z) be the third derivative of g(z). Let y be l(5). Solve 3 - y = x for x. -1 Let i(w) = 12*w - 18. Let l be i(2). Let n = l + -6. Solve n = 4*d - 0*d + 16 for d. -4 Let z(j) = -j**3 + 6*j**2 + 40*j - 202. Let h be z(6). Solve 7*p + h = 59 for p. 3 Let o(v) = 3*v + 0*v + 26 + v. Suppose 228*n - 233*n = -4*m + 14, -44 = 4*n + 5*m. Let k be o(n). Solve -k*r + 5 - 11 = 0 for r. -3 Let j(z) = 2*z - 21. Let y be j(11). Let t be 3/(2 + 0 + y) + 3. Suppose -t*k = 4 - 28. Solve -3*h + k = -0*h for h. 2 Let q = 218 + -149. Let o = q + -65. Solve -o*m - 16 = -4 for m. -3 Let s be 212/(-1)*(-88)/32. Let j = s - 581. Solve -4*x - 4 = -j*x for x. -2 Let u(o) = -2*o**3 - 8*o**2 + 12*o + 10. Let w be u(-5). Let k be w*2*8/16. Solve k = 45*m - 46*m - 4 for m. -4 Suppose 23*r - 40 + 1 - 76 = 0. Solve -g = r*g - 6 for g. 1 Suppose 63*p + 798 = 2781 + 789. Suppose 3*f - 3 = 12. Suppose -4*q + p = 4*k, 20 = f*k - q - 5. Solve z - k = -z for z. 3 Let p(a) = -a**3 - 25*a**2 - 154*a + 24. Let d be p(-12). Solve d = 17*j - j + 96 for j. -6 Let f(w) = w**2 + 16*w - 14. Let t be f(-17). Suppose -p + 3*h = 4*p - 6, 4*h = t*p - 8. Let x = -32 + 34. Solve p = -x*u - 5 - 3 for u. -4 Let c = -36834 - -36834. Solve c = 79*y - 129*y + 400 for y. 8 Suppose 0 = 19*d - 58*d + 156. Suppose 3*q - 4 = q. Let r be q/(-3)*(-6)/d. Solve 2*w - r = 9 for w. 5 Suppose -6*z - 45 = -15*z. Suppose 0 = -2*j + 3*j - 5*t + 9, -z*t = -4*j + 9. Suppose -a = -7 + j. Solve 5*x + 4 = -a for x. -1 Suppose 15*q + 31 = 886. Solve 56*b = q*b - 5 for b. 5 Let w(p) = p**2 - 2*p - 14. Let z be ((-5)/2)/((-5)/12). Let b be w(z). Let u be (-612)/(-120) + (-1)/b. Solve -3 - u = 4*q for q. -2 Suppose 0 = 2*a - 7 - 1. Let h = a - -35. Suppose -55 + h = -j. Solve 5*y = j - 1 for y. 3 Let h = -1094 + 1094. Let t(u) = -u - 2. Let m be t(-7). Solve h + m = j for j. 5 Suppose -13*x = n - 14*x - 12, 2*x - 25 = -5*n. Let k be ((-40)/(-7))/(n - (-188)/(-28)). Solve -6*g - 10 = k for g. -5 Let j(n) = n**2 + 9*n - 8. Let g(d) = -2*d**2 + 3*d - 1. Let i be g(3). Let b be j(i). Suppose w - 2*w = 2*t - 5, 0 = 2*t + b*w - 2. Solve -8 + t = l for l. -4 Suppose 0 = 92*i - 33*i - 46*i - 468. Solve i*o = 15*o + 21 for o. 1 Suppose 5*o - 2*t = 15 - 7, 8 = 3*o - 2*t. Suppose -12*u + 112 + 68 = o. Solve -6*v - u = -3*v for v. -5 Let i = -4829 + 4829. Let y = -36 + 74. Solve 36*u - y*u - 10 = i for u. -5 Let c(v) = 6*v + 74. Let d be c(-12). Suppose -w = 3*k - 10, -3*w = -6*w - 3*k + 30. Let r be (-1*w)/((-135)/54). Solve -d*q = -0*q - r for q. 2 Suppose 5*l = h + 22, -3*l + 20 = l - 2*h. Suppose -10 = -r - l. Solve -j = 5 - r for j. 1 Let h be (174/(-30))/(((-96)/30)/(-4) - 1). Solve -h*n + 31*n = 4 for n. 2 Let i = 13 - 8. Let y be (8/(-6) + 1)/(2/(-66)). Suppose 0 = -y*d + 17*d - 18. Solve i*c = 2*c + d for c. 1 Suppose -4*k = t - 16, 4 = -0*t + t. Let q(j) = 2*j**2 + 18*j - 4. Let f be q(4). Suppose -148*x = -143*x - f. Solve k*a + x = -a for a. -5 Let p(g) = -g**2 - 9*g + 1. Let o be p(-2). Suppose 5*k + o = -5*h, -5*h - 24*k = -25*k - 3. Let l = -3 + 5. Solve h = -l*v + 1 - 11 for v. -5 Suppose 189*t = 184*t + 25. Let s be (-504)/54*(6/(-4))/1. Let l(i) = -i**3 + i + 11. Let j be l(0). Solve j = t*x - s for x. 5 Let p(q) be the second derivative of q**3/3 + 26*q**2 + 40*q. Let w be p(-26). Solve w = -4*t + 16 + 4 for t. 5 Let s(h) = 7*h - 131. Let p be s(20). Solve -p*w + 27 = 54 for w. -3 Let u = 2567 + -2562. Solve 20*w - 35 = u for w. 2 Suppose -21*r + 66 + 18 = 0. Suppose 0 = -4*s - 4*t + 124, 0 = s - r*s - t + 99. Solve 0 = -s*j + 37*j + 9 for j. -3 Let c be 2*(3/(-1) - -2). Let k be (-819)/(-42) - c/4. Let x be ((-6)/k*-4)/(12/40). Solve 2*b = 4*b + x for b. -2 Let c(h) = 9*h - 77. Let z be c(5). Let k be z/(-128) - (3/(-4) + -1). Solve 0 = -12*s + 11*s + k for s. 2 Let m(z) = 2*z**2 - z + 20. Suppose 3*t = -x + 12, 3*t - 12 = -2*x - 0. Let j be m(x). Suppose -j = -3*n + r, -n - 2*r = 3*r + 4. Solve -1 = d - n for d. 5 Let k = 3227 + -3202. Suppose -2*l = 3*l - 70. Solve -l*m = -9*m + k for m. -5 Let k(b) = b**2 + 10*b + 1. Let h(s) = s**3 - 24*s**2 + s - 20. Let c be h(24). Let y be k(c). Solve -y*w + 3 = -56*w for w. 3 Let h = 126 + -124. Let s be -4*(-4 + 0 + h). Solve 4*o - s = 12 for o. 5 Suppose -9*f + 10*f = -16. Let x be -7 + (-36)/24*f/6. Let g be (-4)/x*(5 + (-42)/12). Solve 0*s + g*s = 0 for s. 0 Suppose -6*g + 2 = -4*g. Let n be (-620)/12 + 1/(-3) + g. Let x = n + 53. Solve -c - 1 - x = 0 for c. -3 Let g(u) = 4*u + 9. Let v be g(-6). Let c be (2 - v/(-9))*(-2 - 4). Let y be (c/(-4) - -2)*(-14)/(-35). Solve -2*p + 7 = -y for p. 4 Let i(g) be the second derivative of g**3/6 - g**2 + 3*g. Let o be i(4). Suppose 0 = -7*j + 325 - 220. Solve -o*d = -7*d - j for d. -3 Let i(w) = -2*w + 13. Let p be i(4). Let a be p + 1/(1/3). Solve a*u = 7*u - 5 for u. -5 Let v be 2 + 3 + -9 - -6. Suppose v*u + 10 = 7*u + o, 4*u - 2*o = 8. Solve -u*t = 8 - 4 for t. -2 Let s(w) = -246*w + 1492. Let o be s(5). Solve -o*c = -259*c - 15 for c. 5 Suppose -f = 2*y + 4, y = 3*f + 2*f - 13. Suppose 2*b + 3*b - p - 6 = 0, -4*p = 5*b - 26. Suppose -b*v = 8 - 10. Solve 0 = -3*s - v - f for s. -1 Let h = -15878 - -16024. Solve -166*z = -h*z for z. 0 Let t(i) = -41*i**3 - 246*i**2 + 11*i + 68. Let n be t(-6). Suppose 0 = 3*d - 4*z - 6, 5*z = z. Let j = 2 - 2. Solve -d*f + j*f = -n for f. 1 Let t = 129 + -101. Suppose -31 = -3*y - t. Solve p - y = 1 for p. 2 Let o = 2195 + -2189. Solve -171 = o*a - 153 for a. -3 Suppose 6*q = 29*q + 25*q. Suppose -18 = -3*k - 3*x, q*k = -2*k + 3*x - 3. Solve 6 = -k*n + 21 for n. 5 Let o = 48 + -79. Let w = -28 - o. Let j = -6 + 8. Solve -w*d - j = -8 for d. 2 Let j be 3/(-1) + (-2 - 3). Let v(y) = y**3 + 7*y**2 - 9*y - 3. Let s be v(j). Suppose -4*p + t + 20 = 0, s = p - 3*t - 11. Solve 0 = 7*c - p*c + 6 for c. -2 Let x be -6*(2492/(-12))/7. Let r = x + -90. Let q = 91 - r. Solve 12 = q*a + a for a. 3 Let k be (5 + -19 + 4)*(-78)/(-10). Let t be 1/(1/(k/(-6))). Solve -5 = -6*a + t for a. 3 Let w = 158 + -154. Suppose -5*k = -l + 5, 0 = -w*l + 5*k - 2*k + 3. Solve -y + 0*y - 4 = l for y. -4 Suppose 32 = 8*q - 16. Solve -6*t = -5*t + q*t for t. 0 Suppose -4*q = -8 - 4. Suppose 0 = -q*r + 2*m, -4*r - 3*m = -5*m - 2. Let p(x) = -4*x**3 + 2*x**2 + 15*x + 16. Let h be p(-1). Solve 1 = r*u - h for u. 4 Let s(u) = -399*u + 6822. Let l be s(17). Solve l*g = 60*g for g. 0 Suppose n = 5*f - 5, -n + 13 = 4*f - 0*n. Suppose 0 = -b - 5*j + 15 - 0, b - f*j = 22. Solve -a + b = 4*a for a. 4 Let p(o) = -o**2 + 8*o + 185. Let u be p(-10). Solve 0 = u*c + 21 - 36 for c. 3 Suppose -1436*w = -1439*w - 3*t + 1497, -5*w - 2*t = -2513. Solve -7 = w*d
{ "pile_set_name": "DM Mathematics" }
98408 is divided by 93? 39 Calculate the remainder when 252529 is divided by 515. 179 What is the remainder when 3143865 is divided by 1073? 1048 What is the remainder when 39184590 is divided by 4353829? 129 Calculate the remainder when 118600 is divided by 29384. 1064 Calculate the remainder when 45603459 is divided by 28. 27 Calculate the remainder when 6240751 is divided by 112. 111 What is the remainder when 183460 is divided by 5173? 2405 What is the remainder when 56469 is divided by 56377? 92 Calculate the remainder when 1017327 is divided by 138. 129 What is the remainder when 16787282 is divided by 16804? 86 Calculate the remainder when 1081140 is divided by 11751. 48 What is the remainder when 29828 is divided by 2139? 2021 What is the remainder when 53526 is divided by 163? 62 Calculate the remainder when 6377425 is divided by 803. 802 Calculate the remainder when 437473983 is divided by 31. 30 Calculate the remainder when 833114971 is divided by 1597. 1593 What is the remainder when 100004559 is divided by 40? 39 Calculate the remainder when 15258655 is divided by 119. 118 Calculate the remainder when 19430 is divided by 9531. 368 What is the remainder when 108854 is divided by 947? 896 What is the remainder when 159639 is divided by 39865? 179 Calculate the remainder when 1923009 is divided by 137318. 557 Calculate the remainder when 178181 is divided by 2827. 80 Calculate the remainder when 7061299 is divided by 1369. 1366 What is the remainder when 45048 is divided by 457? 262 What is the remainder when 83147095 is divided by 20? 15 What is the remainder when 223077 is divided by 43? 36 What is the remainder when 11267545 is divided by 128? 89 Calculate the remainder when 820338 is divided by 8457. 9 What is the remainder when 787622 is divided by 15? 2 What is the remainder when 626346 is divided by 336? 42 Calculate the remainder when 2812990 is divided by 14. 12 What is the remainder when 134104 is divided by 3942? 76 Calculate the remainder when 235247 is divided by 260. 207 Calculate the remainder when 2993634 is divided by 1496772. 90 Calculate the remainder when 13257445 is divided by 150. 145 Calculate the remainder when 1753770 is divided by 57. 51 Calculate the remainder when 2596963 is divided by 1669. 1668 What is the remainder when 1249788633 is divided by 516? 513 What is the remainder when 468979 is divided by 22? 5 Calculate the remainder when 29683037 is divided by 249. 245 What is the remainder when 9750535 is divided by 17? 15 What is the remainder when 8763 is divided by 149? 121 What is the remainder when 157183199 is divided by 2710055? 9 What is the remainder when 333888 is divided by 2239? 277 Calculate the remainder when 12998986 is divided by 764644. 38 What is the remainder when 13137 is divided by 3239? 181 What is the remainder when 11061454 is divided by 588? 586 Calculate the remainder when 2298656 is divided by 810. 686 Calculate the remainder when 353469 is divided by 176720. 29 What is the remainder when 303457098 is divided by 449? 448 What is the remainder when 2240929 is divided by 160056? 145 What is the remainder when 747324 is divided by 210? 144 Calculate the remainder when 11523566 is divided by 313. 158 Calculate the remainder when 314693 is divided by 2366. 15 What is the remainder when 7407546 is divided by 129? 108 What is the remainder when 1259973 is divided by 23331? 99 What is the remainder when 495169 is divided by 569? 139 Calculate the remainder when 4490924 is divided by 18481. 41 What is the remainder when 9023194 is divided by 2255795? 14 What is the remainder when 5060570 is divided by 506056? 10 What is the remainder when 587725478 is divided by 51? 50 What is the remainder when 4481260 is divided by 1120312? 12 What is the remainder when 238022220 is divided by 75157? 1 What is the remainder when 116746 is divided by 1032? 130 Calculate the remainder when 1763409 is divided by 205. 204 Calculate the remainder when 206663 is divided by 34429. 89 What is the remainder when 117666 is divided by 58562? 542 Calculate the remainder when 254581 is divided by 1370. 1131 Calculate the remainder when 807282 is divided by 4460. 22 Calculate the remainder when 5975577 is divided by 19. 1 What is the remainder when 41994 is divided by 408? 378 What is the remainder when 11760335 is divided by 24? 23 Calculate the remainder when 4269572 is divided by 533696. 4 Calculate the remainder when 122463091 is divided by 477. 19 Calculate the remainder when 1723173 is divided by 661. 607 Calculate the remainder when 1090303 is divided by 37. 24 Calculate the remainder when 2835796 is divided by 62. 40 Calculate the remainder when 420149 is divided by 12731. 26 Calculate the remainder when 440672 is divided by 128. 96 What is the remainder when 892565014 is divided by 58? 56 Calculate the remainder when 5361501 is divided by 20. 1 What is the remainder when 1115789 is divided by 569? 549 Calculate the remainder when 55296 is divided by 571. 480 What is the remainder when 9964 is divided by 9085? 879 Calculate the remainder when 21210 is divided by 4232. 50 What is the remainder when 9535 is divided by 2359? 99 Calculate the remainder when 415860 is divided by 11. 5 What is the remainder when 11477207 is divided by 21? 14 What is the remainder when 9387534 is divided by 9648? 30 What is the remainder when 31031637 is divided by 33730? 37 What is the remainder when 2420246 is divided by 10? 6 What is the remainder when 547077 is divided by 3090? 147 What is the remainder when 69003 is divided by 13762? 193 Calculate the remainder when 81798439 is divided by 1163. 1160 What is the remainder when 445113 is divided by 14079? 8664 What is the remainder when 876389 is divided by 98? 73 Calculate the remainder when 4438358 is divided by 107. 105 Calculate the remainder when 2319043 is divided by 36235. 3 Calculate the remainder when 520172 is divided by 8. 4 What is the remainder when 31375349 is divided by 272829? 14 Calculate the remainder when 28383110 is divided by 551. 549 Calculate the remainder when 100607413 is divided by 16767900. 13 What is the remainder when 8282 is divided by 75? 32 Calculate the remainder when 9324 is divided by 923. 94 Calculate the remainder when 544539 is divided by 20. 19 What is the remainder when 140943 is divided by 1113? 705 What is the remainder when 279073 is divided by 3041? 2342 Calculate the remainder when 2156443 is divided by 51. 10 Calculate the remainder when 15989662 is divided by 785. 782 Calculate the remainder when 66976 is divided by 7393. 439 What is the remainder when 32205 is divided by 7506? 2181 What is the remainder when 60117191 is divided by 1723? 1721 Calculate the remainder when 116116 is divided by 58055. 6 What is the remainder when 4841041 is divided by 7172? 7113 Calculate the remainder when 138306 is divided by 380. 366 Calculate the remainder when 71628 is divided by 8830. 988 What is the remainder when 56380 is divided by 1713? 1564 Calculate the remainder when 811844 is divided by 115903. 523 What is the remainder when 4858058 is divided by 17227? 44 What is the remainder when 3993981 is divided by 2985? 51 Calculate the remainder when 8633975 is divided by 9778. 1 Calculate the remainder when 69204469 is divided by 105. 19 What is the remainder when 35455 is divided by 4976? 623 Calculate the remainder when 157351 is divided by 7867. 11 What is the remainder when 2387558 is divided by 795840? 38 Calculate the remainder when 21955088 is divided by 766. 762 Calculate the remainder when 23281157 is divided by 69. 5 What is the remainder when 31318636 is divided by 13137? 28 Calculate the remainder when 1369523 is divided by 113. 76 What is the remainder when 2203703 is divided by 734538? 89 What is the remainder when 2495518 is divided by 720? 718 Calculate the remainder when 41259 is divided by 592. 411 What is the remainder when 1808305 is divided by 218? 213 What is the remainder when 1302347 is divided by 434052? 191 What is the remainder when 52253187 is divided by 10? 7 Calculate the remainder when 17110574 is divided by 2072. 2070 Calculate the remainder when 8665871 is divided by 41266. 11 Calculate the remainder when 212
{ "pile_set_name": "DM Mathematics" }
ppose 3382 - 13810 = -79*q. What is the highest common divisor of 2772 and q? 132 Let s be (-400)/(-15) + (130/3)/13. What is the highest common factor of 3645 and s? 15 Let c = 9071 - 7553. What is the greatest common divisor of 264 and c? 66 Suppose 6*x - 62 = 180 + 46. Let o(c) = 13*c**2 - 5*c + 4. Let y be o(4). What is the greatest common factor of x and y? 48 Suppose 2*s = -4*r - 2, -2*r = -s + 9 - 2. Let u(c) = 15*c + 72. Let g be u(21). Suppose -g - 273 = -20*v. What is the highest common divisor of s and v? 3 Let g(h) = 7*h + 46. Let t be g(-3). Calculate the highest common divisor of t and 4075. 25 Let q(y) = -y**2 + 11*y - 39. Let z be q(8). Let f be (171/z)/(21/(-70)). Calculate the highest common factor of 304 and f. 38 Let l be 136/12*(-918)/(-12). Suppose -5*w + 168 + l = 0. What is the greatest common divisor of w and 46? 23 Let i(x) = x**3 + 5*x**2 - 4*x + 1. Let b be i(-5). Let l = -39257 + 39306. What is the greatest common divisor of b and l? 7 Let j(c) = -5*c + 17. Let z be j(3). Suppose z*h = -5 + 27. Suppose 7*p - 3*p + 3*m - 53 = 0, 0 = -3*p + m + 30. What is the highest common factor of p and h? 11 Let h(d) = -45*d - 42. Suppose 4*n + 4*k = 5*k - 4, n = -5*k - 22. Let o be h(n). Suppose 4*m + m - 40 = 0. What is the greatest common divisor of m and o? 8 Let o(a) = 4*a**2 - 130*a + 46. Let f be o(-18). What is the greatest common divisor of 14 and f? 14 Let v(r) = 26*r + 344*r - 70*r + 108. Let a be v(3). Calculate the highest common factor of 42 and a. 42 Suppose 10*t - 250378 - 34776 + 67444 = 0. Calculate the highest common divisor of t and 9. 9 Let i = 91 - 87. Suppose -i*z - 4*z = -8. Let p be (2 - 1 - (2 + z))*-23. What is the greatest common divisor of 46 and p? 46 Suppose -25677 - 63045 = -186*g. What is the greatest common divisor of g and 5883? 159 Let k(i) = 13*i + 638. Let a be k(4). What is the greatest common divisor of a and 120? 30 Let b(c) = -70*c**2 + 3*c + 3. Let r be b(-1). Let t = 838 + r. What is the highest common factor of 24 and t? 24 Suppose w = -3*m + 87362, -39*m + 11*w + 58183 = -37*m. What is the greatest common divisor of 37 and m? 37 Suppose -6*a - 4296 + 4764 = 0. What is the greatest common divisor of a and 30? 6 Let o be (21*(-11)/(-12))/((-4)/(-32)). Suppose t - 25 = -q + 2, 139 = 5*t + q. Calculate the highest common divisor of t and o. 14 Let z = 10 + 44. Let g(v) = -v**2 - 78*v + 1516. Let f be g(16). What is the highest common factor of f and z? 6 Let i be 16/(-24) - ((-165847)/(-3))/(-11). Calculate the greatest common factor of 75 and i. 75 Suppose v + 57 + 242 = 0. Let h be 1/(-4) + 1/4*v. Let d = -59 - h. Calculate the highest common divisor of 144 and d. 16 Let a be 0 - -1 - -44 - 0. Let s be a*(-1)/((-6)/2). Suppose -13*b - 480 = -4*p - 14*b, p - 2*b - 120 = 0. What is the highest common divisor of p and s? 15 Let m = 108 + -58. Let b be -3 + (7 - 8) + (1 - 2). Let c be b/((-80)/(-12)) - 1006/(-8). Calculate the greatest common factor of m and c. 25 Let k be ((1800/(-42))/3)/((-4)/70). Let r = -13 + 17. Suppose 5 = d - t + 2*t, -35 = -r*d - t. What is the highest common factor of d and k? 10 Let t = 3619 + -3464. Calculate the greatest common divisor of t and 10. 5 Let c = 7701 - 2391. Calculate the greatest common divisor of c and 90. 90 Let k = -26479 - -26487. Calculate the highest common factor of k and 1622. 2 Let l(m) = -m**3 + 10*m**2 - 10*m. Let z be l(8). Let g(b) = b - 9 - 7 - 7 + z. Let u be g(-17). Calculate the greatest common divisor of 16 and u. 8 Suppose 0 = -40*m - 408 + 1688. Suppose 0 = m*j - 5861 + 2021. Calculate the greatest common factor of 15 and j. 15 Let t = 146 + -42. Suppose 2 + 423 = -5*a. Let q = 93 + a. What is the highest common factor of t and q? 8 Suppose 4*u - 13 = 3. Suppose 77 - 1089 = -u*v. Let q be -2*(-4 + (-30)/4). What is the greatest common divisor of v and q? 23 Let k(m) = 3*m**2 + 141*m - 167*m + 113 - m**2. Let p be k(6). Calculate the greatest common divisor of p and 377. 29 Let r be (-1)/7 - 4*549/(-84). What is the greatest common divisor of 6318 and r? 26 Let h be ((-10)/(-8) - 4/8)*12. Suppose -5*y = -u + 17, 4*y + 109 = 2*u + h*y. What is the highest common factor of u and 105? 21 Let u(k) = -k**3 - 7*k**2 - 9*k. Let y = 25 - 31. Let m be u(y). Let a = -21 - -30. Calculate the greatest common factor of m and a. 9 Let x(b) = -16*b**2 + 23*b + 44. Let f be x(2). What is the highest common factor of 28054 and f? 26 Let l(v) = 2*v**2 - 18*v. Let h be l(-8). Let i be (-1 - 0)/(4 - 5992/1496). Let m be (i/44)/(3/(11 - -1)). Calculate the greatest common factor of m and h. 17 Suppose -178 + 3629 = 68*l + 391. Let t be (-14165)/(-35) + (-2)/(-7). Calculate the highest common factor of l and t. 45 Suppose 0 = -18*p + 1260 + 288. Suppose -p = -5*f - n, -f + 7*n + 38 = 2*n. Calculate the highest common factor of 144 and f. 18 Suppose 18 = 23*l - 17*l. Let t be (-10 - 279/(-36))*(-8)/l. Suppose -4*u = -2*g - 2*g + 48, 5*g + 4*u = 24. What is the greatest common factor of t and g? 2 Suppose -4*t + 3*h = -574, 616 = 3*t + 5*h + 171. Let z = 559 - 536. Suppose -3*v + z = -t. Calculate the greatest common factor of 14 and v. 14 Suppose -1155 = -2*w - n, -4*n + 588 = -41*w + 42*w. Suppose 0*l + l - h - 15 = 0, 5*l - 78 = 4*h. Calculate the highest common factor of w and l. 18 Let f be (-263)/(7 + (-8)/18*16). What is the greatest common divisor of f and 9? 9 Let q be -11 + 10 + 8 + 334. What is the highest common divisor of q and 440? 11 Let k(r) = -15 - 4 - 67 - 3 - 23*r. Let g be k(-4). Calculate the greatest common divisor of g and 5. 1 Let y(w) = 4*w + 68. Let n be y(-15). Suppose -3*b + 8*b = -5*z + 15, 3*z = -2*b + 9. Suppose -5 - 19 = -z*s. Calculate the highest common factor of n and s. 8 Suppose -373 = -4*n + x, 4*n = -2*x + 553 - 183. Let d be n/(-24) - -4 - (-10355)/40. Calculate the highest common divisor of 37 and d. 37 Let a be (-119 - 1)*30/(-45). Suppose -8*l - 30 = -o - 3*l, 0 = -2*o - 3*l + 112. What is the highest common divisor of o and a? 10 Let v(n) = 9*n**2 - 1174*n + 8. Let k be v(131). Calculate the highest common divisor of 68 and k. 17 Let o = 30 + -20. Let x be 1004/o + (-5)/((-75)/(-6)). Let u = x + -52. What is the highest common divisor of 32 and u? 16 Let k = -73 + 98. Let u = 77 + -52. Calculate the highest common divisor of k and u. 25 Suppose -3 = -5*n - 8, 2*a = 5*n + 635. Let k be -2*1*a/(-42). Let v = 273 - 153. What is the greatest common divisor of v and k? 15 Let q be (-4)/8 - (-121)/2. Let s be (-2)/(7 - 426/q). What is the highest common divisor of 190 and s? 10 Let l be (-18)/(-10)*-5 + 422. What is the highest common factor of l and 472? 59 Let z = -41 - -46. Let h be (-54)/(-15) - 3/z. Calculate the highest common factor of 1 and h. 1 Let k(o) = -24*o. Let g be k(-2). Let v be (-3 - (-1062)/8)/((-6)/(-56)). Suppose v = 17*j - 421. What is the greatest common divisor of j and g? 48 Suppose -3*o = -2*l - 23, -2*o + 3*l = -4 - 18. Suppose -985 = -o*c + 50. Calculate the highest common divisor of c and 23. 23 Let c(a) = 2*a**2 + 7*a + 8. Let z be c(-1). Suppose -54*k - 945 = -63*k. What is the highest common factor of k and z? 3 Let p be 54/(-54)*(0 + -1). Let x be (p - -29)/(36/24). What is the greatest common factor of x and 40? 20 Let v be 12285/1323 + (-2)/7 + 1072. Calculate the greatest common divisor of 2021 and v. 47 Let t(a) = 1218*a**2. Let d be t(1). Calculate the greatest common divisor of 42 and d. 42 Let s be 19/38 - (1864/(-16) + (-6)/2). Calculate the highest common divisor of 396 and s. 12 Let o(h) = -36*h**3 + 5*h**2 - 21. Let z be o(-4). Calculate the highest common divisor of z and 51. 17 Let i = -5 + 1. Let w be i/6*(-12)/4. Suppose -a = -5*h + 674, 140 = w*h - 5*a - 125. What is the greatest common factor of h and 15? 15 Suppose 4*o = -b + 114, -115*b = 5*o - 118*b - 134. Calculate the greatest common factor of 1204 and o. 28 Suppose 5*d - 35 = 5*g - 115, 4*g + 3*d = 36. Let j(c) = c**2 - 13*c + 47. Let f be j(g). Let x = 5 + 23. Calculate the greatest common factor of f and x. 7 Suppose -4603 + 696 = -14*q - 211. Calculate the greatest common factor of q and 363. 33 Suppose 7*r + 6 = 8*r. Suppose -4*u - q = 16, -4*u + r*q - 8*q = 12. Let l be u/(45/(-24))*(55 - 1). Calcul
{ "pile_set_name": "DM Mathematics" }
is the units digit of 1220040? 0 What is the ten thousands digit of 1107229? 0 What is the tens digit of 23294? 9 What is the hundred thousands digit of 7416638? 4 What is the millions digit of 12993531? 2 What is the ten thousands digit of 985857? 8 What is the hundred thousands digit of 1103283? 1 What is the tens digit of 133598? 9 What is the tens digit of 1456355? 5 What is the tens digit of 569550? 5 What is the hundred thousands digit of 4515721? 5 What is the units digit of 3486771? 1 What is the thousands digit of 347770? 7 What is the thousands digit of 370084? 0 What is the tens digit of 56158? 5 What is the hundreds digit of 2702141? 1 What is the millions digit of 2534929? 2 What is the hundreds digit of 286328? 3 What is the units digit of 55418? 8 What is the hundred thousands digit of 21370774? 3 What is the thousands digit of 14716989? 6 What is the tens digit of 444768? 6 What is the thousands digit of 363540? 3 What is the tens digit of 172380? 8 What is the units digit of 130745? 5 What is the millions digit of 1007965? 1 What is the thousands digit of 2498778? 8 What is the tens digit of 817336? 3 What is the tens digit of 5063211? 1 What is the ten thousands digit of 2762572? 6 What is the hundred thousands digit of 19814061? 8 What is the millions digit of 1477076? 1 What is the ten millions digit of 15093481? 1 What is the ten thousands digit of 864132? 6 What is the ten thousands digit of 19804129? 0 What is the thousands digit of 13172051? 2 What is the hundreds digit of 2625714? 7 What is the hundreds digit of 949055? 0 What is the thousands digit of 9569839? 9 What is the hundred thousands digit of 172149? 1 What is the hundreds digit of 7045504? 5 What is the hundred thousands digit of 731915? 7 What is the thousands digit of 175286? 5 What is the hundreds digit of 909945? 9 What is the tens digit of 413804? 0 What is the units digit of 127955? 5 What is the hundreds digit of 32195424? 4 What is the hundred thousands digit of 234850? 2 What is the thousands digit of 7932277? 2 What is the tens digit of 208550? 5 What is the tens digit of 3649983? 8 What is the thousands digit of 184788? 4 What is the hundred thousands digit of 488000? 4 What is the hundred thousands digit of 121480? 1 What is the ten thousands digit of 1414357? 1 What is the ten thousands digit of 5925669? 2 What is the hundreds digit of 65759? 7 What is the tens digit of 2366237? 3 What is the ten thousands digit of 1872651? 7 What is the hundreds digit of 781596? 5 What is the ten thousands digit of 15637926? 3 What is the thousands digit of 2364958? 4 What is the ten thousands digit of 1754448? 5 What is the hundred thousands digit of 342548? 3 What is the tens digit of 29862564? 6 What is the hundreds digit of 2817711? 7 What is the thousands digit of 22150171? 0 What is the hundreds digit of 6628181? 1 What is the hundreds digit of 903669? 6 What is the hundred thousands digit of 633080? 6 What is the thousands digit of 72357? 2 What is the hundred thousands digit of 5545890? 5 What is the tens digit of 110259? 5 What is the hundred thousands digit of 5154680? 1 What is the thousands digit of 228562? 8 What is the millions digit of 3962550? 3 What is the tens digit of 4799377? 7 What is the thousands digit of 821523? 1 What is the units digit of 951493? 3 What is the thousands digit of 2190903? 0 What is the tens digit of 506833? 3 What is the units digit of 8190464? 4 What is the ten millions digit of 19300361? 1 What is the thousands digit of 2863989? 3 What is the thousands digit of 26989107? 9 What is the hundreds digit of 2992530? 5 What is the tens digit of 8887451? 5 What is the ten thousands digit of 170987? 7 What is the hundreds digit of 12873624? 6 What is the hundreds digit of 1773735? 7 What is the tens digit of 1040300? 0 What is the units digit of 10938925? 5 What is the hundreds digit of 630964? 9 What is the ten thousands digit of 376617? 7 What is the ten thousands digit of 1148030? 4 What is the tens digit of 335245? 4 What is the hundred thousands digit of 786232? 7 What is the tens digit of 265081? 8 What is the thousands digit of 269596? 9 What is the ten thousands digit of 17553178? 5 What is the thousands digit of 1192052? 2 What is the thousands digit of 1049114? 9 What is the millions digit of 6226463? 6 What is the units digit of 4514320? 0 What is the tens digit of 30777708? 0 What is the thousands digit of 297905? 7 What is the units digit of 500686? 6 What is the units digit of 11871150? 0 What is the units digit of 1924620? 0 What is the thousands digit of 4233123? 3 What is the units digit of 224295? 5 What is the ten thousands digit of 5280284? 8 What is the units digit of 7326050? 0 What is the ten thousands digit of 92323? 9 What is the thousands digit of 449116? 9 What is the units digit of 25150? 0 What is the hundreds digit of 988357? 3 What is the thousands digit of 203910? 3 What is the thousands digit of 1503363? 3 What is the ten thousands digit of 31900101? 0 What is the ten thousands digit of 8822622? 2 What is the ten thousands digit of 56915? 5 What is the thousands digit of 4536780? 6 What is the ten thousands digit of 94822? 9 What is the units digit of 12951600? 0 What is the ten thousands digit of 6740710? 4 What is the ten thousands digit of 483533? 8 What is the hundreds digit of 134275? 2 What is the tens digit of 6318539? 3 What is the hundreds digit of 18852126? 1 What is the units digit of 378987? 7 What is the hundred thousands digit of 198711? 1 What is the hundreds digit of 2517225? 2 What is the hundreds digit of 99575? 5 What is the units digit of 612112? 2 What is the hundred thousands digit of 160703? 1 What is the ten thousands digit of 1542674? 4 What is the hundred thousands digit of 723658? 7 What is the units digit of 3065052? 2 What is the hundred thousands digit of 485595? 4 What is the tens digit of 22432331? 3 What is the hundreds digit of 167153? 1 What is the ten thousands digit of 228608? 2 What is the units digit of 17144510? 0 What is the units digit of 21285402? 2 What is the ten thousands digit of 517266? 1 What is the tens digit of 4597558? 5 What is the ten thousands digit of 520437? 2 What is the millions digit of 5179548? 5 What is the tens digit of 13458865? 6 What is the thousands digit of 21079006? 9 What is the tens digit of 4627260? 6 What is the units digit of 17055070? 0 What is the millions digit of 1522431? 1 What is the ten thousands digit of 50723? 5 What is the hundreds digit of 22559475? 4 What is the hundred thousands digit of 348066? 3 What is the hundred thousands digit of 8797235? 7 What is the ten thousands digit of 6535232? 3 What is the ten thousands digit of 1435131? 3 What is the hundred thousands digit of 1837743? 8 What is the thousands digit of 822146? 2 What is the tens digit of 25218608? 0 What is the millions digit of 5334030? 5 What is the hundred thousands digit of 218786? 2 What is the tens digit of 1039396? 9 What is the hundreds digit of 14062? 0 What is the thousands digit of 2032352? 2 What is the thousands digit of 241028? 1 What is the hundred thousands digit of 7777685? 7 What is the hundred thousands digit of 5289528? 2 What is the thousands digit of 6558812? 8 What is the tens digit of 512398? 9 What is the ten millions digit of 14755342? 1 What is the hundreds digit of 1409247? 2 What is the hundred thousands digit of 1910500? 9 What is the ten thousands digit of 496991? 9 What is the hundreds digit of 33589642? 6 What is the hundred thousands digit of 1287379? 2 What is the thousands digit of 1736735? 6 What is the hundreds digit of 633648? 6 What is the ten thousands digit of 3464341? 6 What is the thousands digit of 831270? 1 What is the tens digit of 231758? 5 What is the thousands digit of 16566185? 6 What is the tens digit of 99309? 0 What is the hundreds digit of 9130763? 7 What is the thousands digit of 3405345? 5 What is the thousands digit of 1322888? 2 What is the units digit of 529589? 9 What is the tens digit of 47174? 7 What is the thousands digit of 59930? 9 What is the ten thousands digit of 5235230? 3 What is the tens digit of 10863832? 3 What is the thousands digit of 13433453? 3 What is the hundred
{ "pile_set_name": "DM Mathematics" }
Let n(z) = -2*z. Determine n(b(j)). -44*j**2 Let g(v) = -v. Let n(t) = -4134*t + 6. Calculate g(n(a)). 4134*a - 6 Let v(n) = -6*n. Let w be (598/(-69))/(2/(-3)). Let s(b) = 17*b**2 + w*b**2 - 29*b**2. Calculate v(s(t)). -6*t**2 Let p(q) = 7*q. Let t(g) = -45 + 88 - 43 - 11*g**2 - 5*g**2. Determine t(p(v)). -784*v**2 Let x(f) be the first derivative of 5*f**3/3 - 1. Let s(g) = -20*g + 15. Let a(m) = -3*m + 2. Let u(v) = 15*a(v) - 2*s(v). Determine x(u(l)). 125*l**2 Let w(v) = 419701*v**2. Let n(t) = 5*t. Determine n(w(p)). 2098505*p**2 Let z(o) = 4*o. Let u(g) = 262*g**2 + 2*g + 14. Determine z(u(y)). 1048*y**2 + 8*y + 56 Let j(x) = 16*x**2. Let y(b) = -26*b + 6. Give y(j(n)). -416*n**2 + 6 Let w(c) be the first derivative of c**2 + 328 - 332 - 4*c + 4*c. Let q(g) = 5*g**2. Determine q(w(p)). 20*p**2 Let c(o) = -2*o**2 - 12*o. Let z(b) be the third derivative of b**4/24 - 102*b**2 + 2*b. Determine z(c(k)). -2*k**2 - 12*k Let s(v) = 56*v - 1 - 1 - 73*v + 2. Let k(m) = -24*m. Give k(s(q)). 408*q Let z(j) = -16*j**2 - j. Let f(p) = -39*p**2 - 2*p. Let v(n) = -f(n) + 2*z(n). Let u(t) = -3*t**2 + 11*t. What is u(v(y))? -147*y**4 + 77*y**2 Let c(n) = 2*n. Let w(s) be the second derivative of -s**3/2 + 47*s. What is w(c(i))? -6*i Let n(m) be the first derivative of 10 + m**3 + 13 - 4 - 1. Let k(c) = -7*c. Determine k(n(j)). -21*j**2 Let m(r) be the third derivative of 1/8*r**4 + 0 + 25*r**2 + 0*r + 0*r**3. Let x(n) = n**2. Calculate m(x(l)). 3*l**2 Let l(s) = 16*s**2 - 41*s**2 + 21*s**2. Let p(u) = -3*u + 1. Calculate p(l(v)). 12*v**2 + 1 Let k(b) = -3*b**2. Let o(c) = 21136*c. What is k(o(v))? -1340191488*v**2 Let q(s) = -3*s. Let d(a) = -13*a**2 + 877*a + 2. Determine q(d(b)). 39*b**2 - 2631*b - 6 Let k(f) = -22970*f. Let a(n) = -114*n**2. Determine a(k(i)). -60148782600*i**2 Let x(j) = j. Suppose 4*t = 3*p + 12, 5*p + 5 - 7 = 3*t. Let c(d) be the third derivative of -1/15*d**5 + 0*d - t*d**2 + 0*d**4 + 0 + 0*d**3. Give c(x(s)). -4*s**2 Let n(d) = 2*d. Let l(u) = -14 + 20 - 6 + 283*u. Determine n(l(j)). 566*j Let b(i) be the first derivative of -4*i**3/3 + 69. Let f(q) = 6*q**2. Calculate f(b(a)). 96*a**4 Let m(o) = -412*o. Let y(v) = -7*v + 20*v + v + v - 16*v. Give m(y(b)). 412*b Let j(z) = -3*z. Let m(q) be the third derivative of q**4/24 - 5*q**3/2 - 444*q**2. Give j(m(x)). -3*x + 45 Let d(r) be the third derivative of -r**5/30 + 3*r**2. Let t(b) be the second derivative of b**3/3 - 27*b. Determine t(d(g)). -4*g**2 Let l(q) be the third derivative of q**5/30 + q**2. Let d(a) = a + 8. Let p be d(-3). Let s(n) = 6 + 8*n - 1 - p. Give s(l(w)). 16*w**2 Let p(v) = 15*v. Let h(b) be the third derivative of b**5/60 - 8*b**2 + 7*b. Determine h(p(a)). 225*a**2 Let d(s) be the third derivative of 6*s**2 + 0*s**3 + 0*s + 0 + 1/24*s**4. Let n(l) = 5*l**2. Calculate d(n(x)). 5*x**2 Let i(w) = -22*w + 1. Let d(h) = 2*h + 33. Give i(d(m)). -44*m - 725 Let o(y) = -21*y + 836. Let d(a) = -a**2. Give o(d(b)). 21*b**2 + 836 Let l(q) = -10*q**2. Let a(x) = -2*x**2 - x**2 - 6*x**2 + 0*x**2. Calculate a(l(g)). -900*g**4 Let y(p) = -2*p. Suppose -4*t - 5*q - 12 = 0, -1 = 3*t + 3*q + 5. Let w(n) = -17*n + 10*n - n**2 + 3*n**t + 3*n**2. Give w(y(a)). 20*a**2 + 14*a Let w(k) = 17*k + 8. Let t(i) = 66*i + 30. Let c(u) = 4*t(u) - 15*w(u). Let l(n) = 4*n**2. What is c(l(z))? 36*z**2 Let a(v) = -v + 1. Let z be (-5)/(-35)*(-2 + 9). Let l(w) = -11*w + 6. Let f(s) = z*l(s) - 2*a(s). Let m(h) = -h. What is m(f(y))? 9*y - 4 Let v be -2*8/(-20)*35/4. Let p(z) = -v*z**2 - 238*z + 238*z. Let h(d) = d**2. What is p(h(x))? -7*x**4 Let z(x) = 22*x**2. Let f(t) = -17404*t. Calculate z(f(h)). 6663782752*h**2 Let f(q) = -6*q**2. Let v(l) = -10223 - 110*l + 10223. What is v(f(i))? 660*i**2 Let f(h) = -h. Let s(p) = 11 + 23 + 13 - 51 - 37*p. What is s(f(k))? 37*k - 4 Let v(t) = 33*t**2. Let a(p) = 2*p**2 - 40. Let u(q) = -5. Let g(b) = a(b) - 8*u(b). Determine v(g(m)). 132*m**4 Let t(l) = -8*l**2. Suppose 3*r - 9 + 6 = -5*s, 0 = s + r - 1. Let z(p) be the first derivative of s*p + 1/2*p**2 - 5. What is t(z(j))? -8*j**2 Let r(g) = -2*g. Let i(x) be the third derivative of x**4/6 - 11*x**3/3 - 3*x**2 + 5. Determine r(i(h)). -8*h + 44 Let k(d) = -2*d. Let m(r) = 4*r - 7690. What is m(k(i))? -8*i - 7690 Let n(v) = -5*v**2. Let h be (-6 - (3 - 2)) + 2. Suppose -11 = 7*z + 10. Let d(y) = -y. Let t(i) = 2*i. Let j(p) = h*d(p) + z*t(p). Calculate n(j(g)). -5*g**2 Suppose 0 = 35*j - 31*j - 8. Let y(s) = 7*s**2 + 9. Let t(d) = 2*d**2 - d + 2 + d. Let w(x) = j*y(x) - 9*t(x). Let i(f) = f**2. What is i(w(p))? 16*p**4 Let r(x) be the first derivative of x**3 + 13. Let p(h) = -12*h. Determine r(p(s)). 432*s**2 Suppose -14 = 80*c - 87*c. Let v(f) = 91*f**c - 45*f**2 - 38*f**2. Let g(w) = -3*w. Give v(g(p)). 72*p**2 Let h(u) = 2*u - 15. Let c(z) be the first derivative of z**2 + 369. What is h(c(q))? 4*q - 15 Let z(t) = 7*t**2. Let p(s) = 2*s - 2. Let j(x) = -4*x + 6. Let f(n) = j(n) + 3*p(n). Give z(f(b)). 28*b**2 Let r(l) = -417*l. Let f(v) = -211*v**2. Give r(f(t)). 87987*t**2 Let s(f) = -442*f**2. Let n(m) = m. Let a(b) = 2*b**2 - 12*b. Let p(l) = a(l) + 12*n(l). Give s(p(o)). -1768*o**4 Let g(x) = 9*x. Let v(p) = -3*p**3 + 2*p**3 - 10*p**2 - 1 - 2*p + 4 + 7. Let z be v(-11). Let k(u) = -153 + z - 2*u. Calculate k(g(d)). -18*d Let n(t) = t - 8. Let l(y) = -y + 4. Let w(u) = 9*u - 33. Let g(s) = -33*l(s) - 4*w(s). Give n(g(q)). -3*q - 8 Let t(o) = 1778720*o - o**2 - 1778720*o. Let n(d) be the third derivative of d**4/24 - d**2. Give t(n(f)). -f**2 Let x(o) be the third derivative of -o**4/8 - o**2 - 81*o. Let k(h) = -h - 5*h**2 + h + 6. Let w(i) = -i**2 + 1. Let b(y) = k(y) - 6*w(y). Give x(b(q)). -3*q**2 Suppose 2*z - 3*z - 13 = 0. Let l = -10 - z. Let g(d) = l*d**2 + 2*d**2 - 3*d**2. Let h(r) = 7*r**2. Calculate g(h(v)). 98*v**4 Let v(p) = 2*p. Let f(r) = 2*r + 2. Let w(l) = -85*l - 90. Let x(u) = 90*f(u) + 2*w(u). Give v(x(j)). 20*j Let i(q) = -3*q + 16. Let a(n) be the first derivative of -3*n**2/2 + 16*n + 20. Let s(o) = 4*a(o) - 5*i(o). Let f(m) = -m**2. What is s(f(h))? -3*h**2 - 16 Let v(l) = 9*l**2. Let y(n) be the first derivative of n**3/6 + 3*n - 12. Let s(d) be the first derivative of y(d). What is v(s(q))? 9*q**2 Let c(p) = -p**2. Let x(f) be the third derivative of -31*f**5/60 - f**3/3 + 35*f**2. Give c(x(s)). -961*s**4 - 124*s**2 - 4 Let k(m) = -730*m**2 - 741*m**2 + 1479*m**2. Let w(s) = -43*s**2 - 2. Determine w(k(a)). -2752*a**4 - 2 Let m = -29 - -25. Let u be (2/(-5))/(m/20). Let v(t) = -t**2 - 4*t**2 + 3*t**u. Let h(i) = -2*i**2. Determine h(v(p)). -8*p**4 Let o(a) = 764*a**2. Let j(l) be the first derivative of l**3/3 - 45. Calculate j(o(b)). 583696*b**4 Let m(p) = -2*p**2 + 98. Let i(q) = -101*q**2 + 207*q**2 - 108*q**2. Give m(i(w)). -8*w**4 + 98 Let r(v) = -4*v. Let i(u) be the third derivative of u**4/12 - 2*u**3/3 - 406*u**2. Calculate i(r(d)). -8*d - 4 Let w be -3*(-5)/(-3) + 7. Let g(z) = -785 + z**w + 785. Let u(k) = 51*k. Give u(g(v)). 51*v**2 Let l(o) = 13*o + 4. Let m(i) be the first derivative of i**2 - 86. Determine l(m(r)). 26*r + 4 Let l(o) = -3*o**2 - 33*o - 12*o + 2*o**2. Let a(q) = -3*q + 13755 - 27504 + 13749 + 4*q. Give l(a(g)). -g**2 - 45*g Suppose 5*d - 199 = -4*b, -2*b - 5*d + 140 - 43 = 0. Let u(z) = -20*z - 13*z - 4 + b*z. Let n(j) = 2*j. What is n(u(f))? 36*f - 8 Let j(s) = -11*s. Let g(c) be the second derivative of 37*c**4/12 - 41*c + 1. Calculate j(g(q)). -407*q**2 Let i(f) = 23836*f. Let z(p) = -2*p**2 + 22*p. Give i(z(u)). -47672*u**2 + 524392*u Let m(j) = -25*j**2. Let i(q) = 26059*q**2. What is i(m(x))? 16286875*x**4 Let g(c) = -6*c. Let z(j) = -62*j**2 - 3*j**2 + 56*j**2 + 55*j**2. Give z(g(w)). 1656*w**2 Let h(a) = -2*a. Suppose 3 = 5*z - 2, -3*l + 3*z = -9. Let s(j) = l*j + 14*j - j. What is h(s(r))? -34*r Let s(v) = 2*v - 2. Let c = 193 + -191. Let z = 28 + -17. Let f(t) = -10*t + 11. Let d(m) = c*f(m) + z*s(m). Let x(h) = -h. Determine d(x(g)). -2*g Let g(l) = 27*l + 3217 - 3217. Let d(w) = 10*w**2 - 6*w**2 - 6*w**2. Determine g(d(y)). -54*y**2 Let h(c) be the first derivative of 10*c**2 + 1. Let k(n) be the first derivative of -n**3/3 - 1461. Calculate h(k(i)). -20*i**2 Suppose -3*f + 5*f - 140 = 0. Let z(a) = -2*a + 69 - 139 + f. Let n(
{ "pile_set_name": "DM Mathematics" }
y -34175.97948? 39672.97948 Work out 648.17639 - 2.95219. 645.2242 What is -29782761788292 - -3? -29782761788289 -1345663 - 5698131 -7043794 What is the difference between -422.8 and 3754382? 3754804.8 Add 3.9 and 5439142330554. 5439142330557.9 Work out -0.17 + 68212465502. 68212465501.83 What is -134.91435 + 3041? 2906.08565 Sum 2535 and -1147220.175. -1144685.175 Calculate 348829 - 3440293. -3091464 -4304.071434+-44 -4348.071434 Subtract -0.2702 from -1356.90208932. -1356.63188932 -3864.8 + 5533.509 1668.709 Subtract -1120.00243 from -3.0027. 1116.99973 Calculate 0 + 13321082600.22. 13321082600.22 Add 262.19970110633 and -0.02. 262.17970110633 Subtract 396179173480 from 37. -396179173443 What is 7318063 - -173603? 7491666 What is -84692287547513 + -0.1? -84692287547513.1 Calculate 2848453.7 + -11303. 2837150.7 Work out 0.1 - 15960289509. -15960289508.9 What is -0.72 - -2862891424577? 2862891424576.28 What is 0.5 plus -949447246.4322? -949447245.9322 Work out 12 + 20326647359.032. 20326647371.032 What is 2055253.3907 take away 479.6? 2054773.7907 -16108+703057571 703041463 2816 + -250634212 -250631396 Put together 590622307657 and 7. 590622307664 2 - 195979958826 -195979958824 1327155.93 + 51009 1378164.93 Subtract 64862.96906813 from 2. -64860.96906813 -3+1233551235389 1233551235386 Total of 4 and 0.849693991641. 4.849693991641 -0.1+562262525549 562262525548.9 Subtract 108060160941 from -148. -108060161089 What is 61421 + -11.710042? 61409.289958 33.41+0.020212992 33.430212992 Total of -8322909 and -48.06971. -8322957.06971 What is -326580.352 take away -110169? -216411.352 -1542456+-2214523 -3756979 Work out -582686.4 - -13.294. -582673.106 Put together -4557563 and -849.74064. -4558412.74064 What is -0.8614821181 less than -141? -140.1385178819 What is -28587 - 0.1055765? -28587.1055765 Calculate 0.11 - 88197.4444. -88197.3344 126535.9304 + 357811 484346.9304 What is -0.1559 + -94371060? -94371060.1559 665085445527649 + 4 665085445527653 What is -3889555744 + -88.5? -3889555832.5 What is 56440376832 less than 32? -56440376800 Put together 0.5 and 28069077238538. 28069077238538.5 What is -13155.50975 minus 9.1? -13164.60975 Work out 259115221 + 5571. 259120792 Put together 250.52342378 and -0.109. 250.41442378 Add -9707 and -255726171. -255735878 Put together 83.347079 and -0.0341. 83.312979 Calculate -138677 - 28759.771. -167436.771 955781084101 - -0.02 955781084101.02 Sum 995477.999 and -209.09. 995268.909 What is -95.9341 less than -528.898? -432.9639 -22203370731+-1.24 -22203370732.24 Work out 160384.944 - -12.1. 160397.044 What is the difference between 60759.42 and 26.7? 60732.72 Total of -42.3674162879 and 5. -37.3674162879 Sum 2174073 and -716.283. 2173356.717 Work out 234038 - 573032.4. -338994.4 -755.4018756139 - -0.1 -755.3018756139 What is -2 plus 20762.06387336? 20760.06387336 -14 - 28640505025273 -28640505025287 Work out -420714741228.19 + -1. -420714741229.19 Work out 0.18 + -253917.906835. -253917.726835 Work out 10471817619295 - 43. 10471817619252 What is 147993 plus 0.0819176739? 147993.0819176739 What is 2399021 less than -5341030? -7740051 Total of -0.4 and 85644699406. 85644699405.6 What is 92344462120.3 minus 14? 92344462106.3 Work out -335241082402865 - -0.1. -335241082402864.9 -756191391106 - 894 -756191392000 What is -7.55 + 6658554376? 6658554368.45 Sum 2930142.4557 and -1235. 2928907.4557 62321682 + -53694 62267988 -7364828 - 2623.613 -7367451.613 Add together -39481281 and -4569.855. -39485850.855 What is -10001778 plus -83.431? -10001861.431 What is -6 less than 4.7284736619? 10.7284736619 What is the difference between -118083148.15 and -0.11123? 118083148.03877 -4 - -266818064409 266818064405 What is 1440 take away -0.06430963058? 1440.06430963058 What is -1171857.10044529 minus -5? -1171852.10044529 What is 0.1076132 - 5422852? -5422851.8923868 Add 526 and 347.8883524. 873.8883524 Subtract 6.9145 from -1990.6232. -1997.5377 Sum -2.8892237572743 and 2. -0.8892237572743 What is 424198.69 + 1.214612? 424199.904612 Add 41477120309 and -2445. 41477117864 Calculate 2.879 - 96972352. -96972349.121 Put together -1989406223311.2 and 0.5. -1989406223310.7 Subtract 1318.15 from 0.049250026. -1318.100749974 What is 0.11206 minus 26115344? -26115343.88794 What is -19.4 plus -2202845902? -2202845921.4 What is 310.7713721 minus -0.21? 310.9813721 Subtract 289963.88 from 0.2058. -289963.6742 What is 8433397 minus 7490953? 942444 Add 545947377.116 and -0.53. 545947376.586 Add together -56431.14 and 129.7883. -56301.3517 Add 107617 and -2139111849. -2139004232 Total of -80712590475 and -0.3. -80712590475.3 -36410.4588163 + 1.78 -36408.6788163 Put together -661.302 and 0.381259. -660.920741 Add together -0.208 and 0.1172641854. -0.0907358146 What is 0.20332 - -1.37356692? 1.57688692 What is 0.027 take away -41802942.097? 41802942.124 What is the difference between 5398.1 and 38670069? 38664670.9 What is 34632487.8 + 13283.6? 34645771.4 What is 98442.25725 plus 0.05? 98442.30725 Work out -3 + -674745.8364045. -674748.8364045 Total of 1 and -5131735360.3. -5131735359.3 What is -4.96749 less than 31411053? 31411057.96749 Calculate 0.13537684 + -4.3583. -4.22292316 Work out 1.4954 + -481949384. -481949382.5046 Work out -8444828594 - 643. -8444829237 What is 41693484.242 minus -29? 41693513.242 Subtract 151600124.381 from -0.25. -151600124.631 Work out 16670991318792 + 0.1. 16670991318792.1 What is the difference between 380931 and -20.1959? 380951.1959 What is 0.022 less than -4470366827? -4470366827.022 Total of -3.36434 and -15202.213. -15205.57734 What is 1638550 take away -413818? 2052368 Subtract -0.4 from -937268941619. -937268941618.6 What is 16.651 take away 1620.067491? -1603.416491 What is the distance between 0.72 and 32030777919? 32030777918.28 Subtract 6769.95831995 from -2. -6771.95831995 Sum -0.0526082 and 1635694.31. 1635694.2573918 Sum 33.3533131 and 15077. 15110.3533131 What is 28359 + 97380980? 97409339 Calculate 1 - -92905747415. 92905747416 What is the distance between -0.295907918 and 0.016? 0.311907918 What is 5864.61888408975 minus 0.3? 5864.31888408975 Work out -32 + -1299235451.4. -1299235483.4 What is -11246611388 + -65? -11246611453 Calculate -1092487 - 484488. -1576975 Work out -29504695796 - -0.069. -29504695795.931 Add 24 and 1205.77067849. 1229.77067849 What is 569739 plus 4.3613? 569743.3613 Work out -216928183338 + 34. -216928183304 What is -1349101.794 minus -4282? -1344819.794 Add together -0.06767042164072 and -2. -2.06767042164072 What is the difference between 15.89550625037 and 0? 15.89550625037 What is -6287.62039 take away -0.119? -6287.50139 Subtract 13966810481 from -0.4. -13966810481.4 Work out -0.2 + -0.05569341773687. -0.25569341773687 Subtract -398711 from 5703799. 6102510 Work out -1.069 + -251.683396. -252.752396 What is 49.26434618639 + 0.05? 49.31434618639 What is 229860597285853 take away -1? 229860597285854 What is the distance between -145203419.8 and 51066? 145254485.8 What is the distance between 0.2 and 0.3968885806708? 0.1968885806708 Subtract 3140232 from -77.464. -3140309.464 What is 137857246166 - 4? 137857246162 What is -0.1 minus -21063295418859? 21063295418858.9 What is -102223949.61 take away -71.5? -102223878.11 What is -162278 + -248346612? -248508890 What is the difference between 410009750986 and 0.033? 410009750985.967 Work out -0.7 - 0.10158635947. -0.80158635947 What is -1196 take away -0.45713143254? -1195.54286856746 What is -0.4 plus -0.0026801742263? -0.4026801742263 0.3069+-6928791.6 -6928791.2931 Subtract -20955802555 from 263.38. 20955802818.38 Work out 36385 - 189531410.5. -189495025.5 -15.2 + -3098531327 -3098531342.2 What is the difference between -176346.7925 and -0.07061? 176346.72189 Total of 118.6 and 3378.7835006. 3497.3835006 What is -1486.172 less than -13915? -12428.828 Calculate 29435568 + 0.283. 29435568.283 Work out 7247 + -71520957. -71513710 Calculate 0.24 - -135385947.5198. 135385947.7598 What is 0 - 5007268355793? -5007268355793 What is 0.2246 less than 0.132099542107? -0.092500457893 -1565746886 - -0.228 -1565746885.772 What is 2.35 - 378476507.668? -378476505.318 What is 1077 take away 491632469.4? -491631392.4 2509469020.72+7 2
{ "pile_set_name": "DM Mathematics" }
1/8 and d. 8 Let u = -1908 + 22915/12. Calculate the common denominator of 73/18 and u. 36 Let a(c) = -9*c. Suppose -15*q + 11*q + 56 = 0. Calculate the lowest common multiple of a(-2) and q. 126 Suppose -574 = 5*o - 19. What is the common denominator of ((-5)/5 + 38)*3/(-6) and (-2 + 0)/(28/o)? 14 Suppose 2*l - 4*l - 11 = -3*z, 2*z = -5*l + 39. What is the lowest common multiple of 7 and z? 7 Let u(x) = 4*x - 6. Let b = -9 + 11. What is the smallest common multiple of u(4) and b? 10 Let b = 5041 + -90761/18. Calculate the common denominator of b and 113/20. 180 Suppose -5*h - 2218 + 218 = 0. What is the least common multiple of 4 and h/(-70) + (-4)/(-14)? 12 What is the common denominator of 15/50*(13 - 2) and -79/12? 60 What is the common denominator of (133/(-5))/((-84)/(-35)) and 83/22? 132 Suppose -4*t + 68 = 3*g, -3*g + 2*t = 3*t - 62. What is the smallest common multiple of 15 and g? 60 Let h(n) = 3*n - 20. Calculate the least common multiple of 14 and h(14). 154 Let p = -2224484572/151 + 14731972. Let q = p - 7158323/1812. Let f = 3671 + q. Find the common denominator of f and 61/20. 60 What is the smallest common multiple of 64/(-10)*(-285)/38 and 27? 432 Find the common denominator of 4 + -4 + (-14)/22 and -45/2. 22 Suppose -3*p - 2*z - 38 = 0, 3*p + 33 = 5*z + 2. Let w be ((-2)/28)/(p/143859). Let b = w + -6072/7. Find the common denominator of b and -13/16. 16 Let k = 0 - 3. Let n be (-1 - k)*(-1)/(-1). Calculate the smallest common multiple of 2 and (6 + n)/(4/10). 20 Let z = 104 + -59. Suppose -30 = -5*x + z. Suppose o - 3*h = -0 - 1, -5*h + x = 5*o. What is the lowest common multiple of o and 2? 2 Let y(j) = j**3 + j**2 - 2*j + 2. What is the least common multiple of y(2) and 8? 40 Let o = 4309/4 + -17145/16. What is the common denominator of -71/18 and o? 144 Suppose -3*g = -21 + 9. Suppose -g = 4*w - 5*w + 2*y, -y - 9 = -4*w. What is the smallest common multiple of w and (-2)/6 - (-55)/3? 18 Let q = -8682 + 86719/10. Let x be (94/(-4))/((-2)/8). Calculate the common denominator of q and (x/(-32))/(3/6). 40 Let m = -46/21 - -1657/210. What is the common denominator of 61/22 and m? 110 Let m = 7529/7320 - 29/120. Let c = m + -3133/183. What is the common denominator of -7 and c? 3 Let u = -10922/11 + 3979/4. Calculate the common denominator of u and 21/20. 220 Let t(x) = -x**3 + 10*x**2 - 7*x + 12. Calculate the lowest common multiple of 6 and t(9). 30 What is the common denominator of 14/((-91)/(-17) + 6 + -9) and -77/2? 20 Let b = -216023/19110 + 8/1911. Find the common denominator of (-4 - 63/(-16))/(1/(-30)) and b. 40 What is the common denominator of 31/13 and (-432)/(-308) - 1/(-7)? 143 Suppose -2*r + 2*p + 2 = 4*p, 0 = -3*r + 5*p - 5. Let q = r - -8. Suppose 8*k - 4*k + 3*u = 59, -4*k + 54 = -2*u. What is the least common multiple of q and k? 56 Let g = -5 + 5. Let c(k) = -k + 5. Let n be c(4). Let m = n + g. Calculate the lowest common multiple of 3 and m. 3 Let p(c) = c**2 - 1. Let j be p(1). Suppose -h + 4*u + 17 = 0, j = 4*h - 8*u + 4*u - 8. Find the common denominator of 51/4 and (h/(-36))/(2/604). 12 Let h = -427061/53010 + 2/2945. Find the common denominator of h and -71/12. 36 Let i = 62398/13 - 50001/65. Let z = i + -4043. What is the common denominator of 4/(-10) - (-344)/60 and z? 15 Let t(b) = b**3 - b + 1. Let x be t(0). Let g = -23 - -20. What is the common denominator of 71/9 and (-40)/g + (-1 - x)? 9 Let y be (-1)/(-2) - (-61)/(-2). Let k = -8 - y. What is the lowest common multiple of k and 10? 110 Suppose 0 = -8*f + 5*f - 63. What is the common denominator of ((-59)/3)/(f/9) and -7/11? 77 Let u = -3/11 - -37/55. Let c = -57/23 + -773/115. What is the common denominator of u and c? 5 Suppose q - 2*q + 18 = 0. Calculate the least common multiple of q and 24. 72 Let l(k) = -k**2 - 14*k - 33. What is the smallest common multiple of l(-7) and 22? 176 Let m = 1/480 - -167/480. Let l = -86521/16 + 5410. Calculate the common denominator of m and l. 80 Suppose -11 = 9*j + 7. Let w = 10 - 25. Calculate the least common multiple of j/3 - 160/w and 12. 60 Let i = 6 + 6. Suppose -i = -k + 5*k. Calculate the common denominator of 77/(-6)*(k - -2) and -61/4. 12 Let w = -3 - 9. Calculate the common denominator of -33/10 and 61/(-4)*w/9. 30 Suppose 0 = 9*w - 3*w - 120. Let o(l) = 6*l**3 + l**2 - 3*l + 1. Let j be o(2). Let z = j + -33. Calculate the least common multiple of z and w. 140 Let g = 576 + -558. Suppose -2*s = -0*s - 80. What is the smallest common multiple of s and g? 360 Let v(b) = -4*b - 95. Suppose -5*g - r + 9 = -16, -20 = -4*r. Calculate the least common multiple of g and v(-24). 4 Let p = -11 + 12. Calculate the common denominator of ((-2)/p)/(5/17) and (-2)/(-5) + 722/(-80). 40 Let q(p) = 2*p - 2. Let v be q(2). Suppose 3*f - 2223 = m, -1496 = -0*f - v*f - 4*m. Let z = f - 11865/16. Find the common denominator of z and -35/6. 48 What is the common denominator of 71/9 and (-1)/(-6) + 695/150? 45 Suppose 4*d + 12 = d. Let x(r) = -r**2 - 4*r + 5. What is the lowest common multiple of x(d) and 6? 30 Let k(a) be the first derivative of -a**3/3 - 5*a**2/2 + 3*a - 2. Suppose 3*y + 20 = 8. Calculate the least common multiple of k(y) and 2. 14 Calculate the smallest common multiple of 10 and (0 - 4/8)*-26 + -3. 10 Let n be (-12)/(-4) - 4150/1378. Let s = 79283/4134 + n. Calculate the common denominator of 9/2 and s. 6 Let f be (1 - (-1 - -1))*2. Let g be (-5)/2*(-34 - f). Find the common denominator of 23/10 and 419/g + (-6)/10. 90 Let q(a) = a**3 - 10*a**2 + 10*a. What is the lowest common multiple of q(9) and 10? 90 Calculate the lowest common multiple of 10 and (-4)/(2*(-4)/16). 40 Suppose 3*s = -g + 10, -5*g = s - 2*s - 2. Suppose -n + 16 = -3*j, -5*n + 2*j = -2*j - 36. Calculate the lowest common multiple of s and n. 12 Let o = -20 - -12. Let g = 5 + o. Find the common denominator of 69/16 and 31 - g/6*-1. 16 Let i = 42 + -169/4. What is the common denominator of 50/11 and i? 44 Let o(h) = h**2 + h - 12. Calculate the least common multiple of o(7) and 44. 44 Let g(b) = b**3 + 8*b**2 + 6*b + 6. Let j be g(-7). Suppose -k + 5*k = 80. Find the common denominator of 24/7 and 4/(-10) + j/k. 28 Calculate the lowest common multiple of ((-3)/(-6))/(2/44) and 3. 33 Let z = 2895523/4558336 - 325/512. Let c = 3303157/320508 - z. Let f = 62/9 - c. What is the common denominator of f and -85/12? 12 What is the common denominator of 13 and 1 + -1 + (-11)/(-4)? 4 Let z(g) = -g**2 - 9*g - 2. Let p be z(-9). Let y be -1303*2/20 + p. Let v = 132 + y. Find the common denominator of v and 44/3. 30 Let k = -14 + 17. What is the lowest common multiple of 4 and k? 12 Let b = -30 + 60. What is the lowest common multiple of 21 and b? 210 Calculate the common denominator of 56/11 and (26/8 - 0)/(19/(-19)). 44 Let x = -88161/5038 - 2/2519. What is the common denominator of x and (-2)/(-7) + (-235)/14? 2 Let m = 47 + -34. Let o = m + -9. Let l = 6 - o. What is the smallest common multiple of 1 and l? 2 What is the lowest common multiple of 4 and (-11 + 19)/((-2)/(-2))? 8 Suppose 5*m = 9*m - 252. What is the smallest common multiple of m and 30? 630 Let z = -1 + -3. Find the common denominator of 1/9 and (-39)/4 + z + -3. 36 Let p(z) = -z**2 - 4*z. Let r = 5 + -8. Let c be p(r). What is the common denominator of -13/9 and ((-3)/(-4))/(c/26)? 18 Let y be 4/14 + (-24)/182. Let m = 1/10314 + -3377861/268164. Let c = y - m. Calculate the common denominator of 49/20 and c. 20 Suppose -2*u + 36 = q, -u + 2*q + 72 = 3*u. Calculate the lowest common multiple of 9 and u. 18 Suppose -q - 3007 + 7382 = 0. Suppose 0 = 2*i + 3*i + q. Find the common denominator of -43/26 and -1*1 - i/(-84). 156 Suppose 5*c = 2*t - 13, -12*t = -9*t - 5*c - 17. Calculate the least common multiple of t and 9/(-6)*28/(-6). 28 Suppose -g = -4*c - 12, -c - 2 = -1. Let t = g - 4. Calculate the lowest common multiple of 22 and t. 44 Suppose 28 = -2*g + 6*g. Let a = 2 + g. What is the least common multiple of 1 and a? 9 Let a = -431 - -1681/4. Let p be (-2122)/(-28)*(-2)/(-4). Let k = p - 169/7. Find the common denominator of k and a. 4 Let g = 16 - 22. Let y = -3 - g. What is the least common multiple of 7 and y? 21 Suppose 0*z + 228 = 4*z. Calculate the smallest com
{ "pile_set_name": "DM Mathematics" }
- 89*w - 1/3*w**3 + 0. Let f(o) = -o - 2. Let h be f(-5). Calculate l(h). -1 Let s(t) = -t**3 - 20*t**2 - 53*t + 523. Let i be s(-12). Let w(l) be the first derivative of 4*l**2 + 1 + 1/4*l**4 - 7*l - 8/3*l**3. Calculate w(i). 0 Let k(p) = -p**3 + p**2 - 1. Let f(q) = q**2 - 8*q + 16. Let o be f(2). Let j(z) = -5*z**3 + 9*z**2 - z - 3. Let x(c) = o*k(c) - j(c). Determine x(5). 4 Let d(v) = -v**2 + 2. Let p be (-121)/(-22) + (-30)/(-12). Suppose -2*k - 18 = -p. Determine d(k). -23 Let d(x) = -x**2 - 46*x - 22. Let h be d(-43). Let s = -106 + h. Let l(q) = -7*q. Give l(s). -7 Let b(q) = -q - 5. Suppose 0 = -u - 5*l + 2*l + 100, 3*l - 197 = -2*u. Let r = u + -93. Suppose i = 2*i - r. Calculate b(i). -9 Let v(x) be the third derivative of -2/3*x**3 + 1/24*x**4 + 1/120*x**6 + 20 - 2*x**2 - 1/20*x**5 + 0*x. What is v(3)? -1 Let v(j) be the second derivative of -3*j + 0 + j**2 + 1/12*j**4 - 4/3*j**3. Let h(b) = 36*b - 1469. Let m be h(41). Give v(m). -5 Let v(b) = 4*b**3 + 31*b**2 + 7*b - 25. Let s(x) = 9*x**3 + 74*x**2 + 16*x - 48. Let z(f) = -3*s(f) + 7*v(f). Give z(6). 11 Let q(k) = -2*k**3 + k**2 + 3*k. Let g(m) = -5*m**3 + 4*m**2 + 1. Let j(b) = g(b) - q(b). Give j(2). -17 Let x(y) = -1 - 4*y + y**2 + 4*y - 18*y. Let g(z) = 917*z - 8235. Let q be g(9). Give x(q). -1 Let s = 5 + -11. Let r(z) = -3*z + 4*z - 209152 - 5*z - z**2 + 209165. Give r(s). 1 Let p(m) be the first derivative of -m**4 + m**3/3 - 2*m**2 - 3*m - 613. Give p(-2). 41 Let q(j) = 2*j + 2*j**2 - j**3 - 106 + 56 - 3*j**2 + 51. Give q(2). -7 Suppose -11*b = 32 - 98. Suppose -13*w + b*w = 42. Let p(z) = 2*z - 6. Calculate p(w). -18 Let v = -47377 + 47384. Let k(g) be the first derivative of -g**3/3 + 5*g**2/2 + 9*g + 1. Calculate k(v). -5 Let s(j) = 7*j + 64. Let w(i) = 8*i + 23. Let y(t) = -2*s(t) + 3*w(t). Give y(6). 1 Let p(w) = 6*w - 21*w + 2 + 7*w + 11*w. Let m be 8/5*(-315)/(-14). Let h = m + -39. Calculate p(h). -7 Let m(o) = 2*o**2 - 3*o - 4. Suppose -81*d = 125 - 263 - 105. Determine m(d). 5 Suppose 26*k = 28*k - 4. Let s(o) = 5*o - 2*o**2 + 3*o**k - 13*o + 6*o + 3. Let n(b) = -b**3 - 8*b**2 - 8*b - 5. Let u be n(-7). What is s(u)? 3 Let r(i) = 13*i + 377. Let v(g) = -5. Let w(b) = r(b) + 78*v(b). Let x(f) = 16*f - 15. Let s(o) = -4*w(o) + 3*x(o). What is s(6)? -17 Suppose 142*a + 135 = 145*a. Let g(b) = -b**3 - 6*b**2 + 47 - 48*b + a*b - 49. What is g(-5)? -12 Suppose 10*i - 13*i + 23*i = 0. Let n(b) = b**3 + b**2 - 2*b - 40. Calculate n(i). -40 Let o(n) = 9*n**2 - 4*n**2 + 12270*n - 12272*n - 9. Let a(j) = -13*j**2 + 4*j + 27. Let w(p) = 3*a(p) + 8*o(p). Give w(6). 21 Let a(b) = 15*b**3 - b**2 - 74*b + 7. Let i(u) = 13*u**3 - 63*u + 7. Let d(y) = 6*a(y) - 7*i(y). Give d(-6). 11 Let f(r) = -7 - 6 + 0 - r. Suppose -118 = 53*d - 29*d + 74. Give f(d). -5 Let t = -80 - -150. Suppose 0 = 5*g - t. Let z be 7/g*2/1 - 5. Let d(o) = 2*o + 3. What is d(z)? -5 Let m(v) be the first derivative of v**2/2 - v - 1. Suppose -1641 = -270*x + 273*x. Let n = 550 + x. What is m(n)? 2 Let t = 9716 - 9699. Let m(c) be the second derivative of -t*c + 0 - 1/6*c**3 + 1/2*c**2. Determine m(-5). 6 Let f(q) = q + 181057 - 181057 + 25*q**2. What is f(-2)? 98 Let d be (-60 + 57)*(1 - 2)*-3. Let c(s) = -12*s - 114. What is c(d)? -6 Let v be 8/1 + -4 + -13. Let l(i) be the second derivative of 0 + 5*i**2 + 18*i + 1/6*i**3. Give l(v). 1 Let v(x) = 3*x**3 + 2*x**2 - 1. Suppose -2 = 3*n - n. Let r be v(n). Let d(t) = 2 - 422*t - 2*t**2 + 201*t + 223*t. What is d(r)? -10 Let l(a) = -a**3 - 26 + 1398*a**2 + 24*a + 7 - 1410*a**2. Give l(-14). 37 Suppose 10*d - 8 - 32 = 0. Let n(i) = -9*i + 5. Let u(g) = -7*g + 3. Let v(l) = d*u(l) - 3*n(l). What is v(0)? -3 Suppose 1855*b - 1852*b = -24. Let n(r) be the second derivative of -r**5/20 - r**4/2 + 2*r**3 + r**2 - 6*r - 2. Give n(b). 34 Let p(n) = 8*n + 87. Let f = 2730 + -2742. Calculate p(f). -9 Let f(u) be the first derivative of -u**3/3 + 9*u**2 - 48*u - 273. Determine f(16). -16 Let m(v) = -v**3 - 4*v**2 - 5*v + 25. Let q be m(0). Let r(j) = j**3 - 25*j**2 + 2*j - 57. What is r(q)? -7 Let p(z) = -5*z + 83. Let b be p(18). Let d(c) = 2*c + 6. Calculate d(b). -8 Let q(j) = j**3 - 85*j**2 - 165*j - 760. Let d be q(87). Let x(t) = -2*t**2 + 41*t + 105. Give x(d). -10 Let u(s) = 10 + 28 - 3 - 7*s - s + 2*s. Determine u(4). 11 Let p(b) be the second derivative of b**5/20 + 5*b**4/6 + b**3 - 5*b**2/2 - b - 162. What is p(-8)? 75 Let o(q) = q + q**2 - 7*q + 250 - 4*q - 235. Determine o(10). 15 Let j(g) = -7*g**2 - 16 - g**3 - 7*g - 7 + 0*g**2 + 47 - 17. What is j(-6)? 13 Let o(m) = -m**2 - 13*m - 16. Let w be o(-11). Let h(x) = -w*x + 5 + 63*x**2 - 34*x**2 - 28*x**2. Calculate h(6). 5 Let c(h) be the second derivative of -h**4/6 + h**3/2 + 3*h**2/2 - 92*h - 1. Let f be (-31 + -2)/(-3) - 2. Suppose f = 2*g + g. Give c(g). -6 Let w(g) = 2*g**3 + g**2 - 7*g + 7. Let r(h) = -3*h**2 + 83*h - 128. Let c be r(26). What is w(c)? 13 Let x(s) = -s**3 - 13*s**2 + 14*s - 10. Suppose 29*w = 28*w, 0 = -3*d - 2*w - 42. Calculate x(d). -10 Let j(x) = -x**3 + 4*x**2 + 5*x - 4. Let d(b) = 6*b**2 - 5*b - 2*b**2 + 12*b**3 - 11*b**3. Let i be d(-5). Suppose q - 5 = -i*q. Give j(q). -4 Let s = -206 + 229. Let d(i) = 38*i**2 + 4*i + 1 - 18*i**2 - s*i**2. Determine d(4). -31 Let j(n) be the third derivative of -n**4/24 + 119*n**2. Let l(g) = 2*g**2 - 3. Let k(s) = -j(s) - l(s). Give k(3). -12 Let h(y) = -10*y - 7. Suppose -2*n - o + 4 = 0, -14 = -n - 4*o + 2. Determine h(n). -7 Let t(j) = 2*j**3 + 93*j**2 - 44*j + 156. Let m be t(-47). Let w(z) = 2*z**3 - 30*z**2 - 8. Give w(m). -8 Let k = 243 + -235. Let r(b) = 19 - 41 + k*b + 21. Give r(1). 7 Let f(h) = 2*h + 136. Let r(s) = -3*s - 183. Let y(v) = -7*f(v) - 5*r(v). Calculate y(37). 0 Let n(m) = -125*m - 589. Let u(o) = 31*o + 140. Let c(i) = 6*n(i) + 26*u(i). Determine c(-2). -6 Let i = -55 + 58. Let u(k) = -2 + 3*k + 12*k**i - 41*k**3 + 14*k**3 + 2*k**2 + 14*k**3. Suppose m - 5*x = -17, -4*m + 14 = -2*m + 2*x. What is u(m)? -2 Let c(t) = 2*t**3 + 3*t**2 - 4*t - 4. Let x be (-1)/(-9 - (-222)/24). Determine c(x). -68 Let v = -79 + 120. Let g = v + -39. Let u(r) = -6*r**2 + 4*r**2 + 4*r + r**g + 2. What is u(6)? -10 Let w(n) be the first derivative of 2*n**3/3 + 3*n**2/2 + n + 60. Suppose -b = -3*q - 4, -168 = -3*b - 5*q - 198. Determine w(b). 36 Let v(k) = 154*k. Let u(w) = -182*w - 42. Let y(j) = -u(j) - v(j). Calculate y(-3). -42 Let w(m) = -m**2 + 4*m + 4. Let u be w(4). Let y(x) = -38*x**2 - 4 + 0 - 3 - u*x + 39*x**2 - 3*x. Determine y(9). 11 Let f(d) be the second derivative of d**4/12 + 2*d**3/3 + 5625*d. Determine f(-4). 0 Let z(d) = -d**3 - 5*d**2 + 9*d + 7. Suppose -2*y - 6 = -0*u - u, 0 = -4*u - 3*y + 13. Suppose -2*b = -8, 5*b = -u*j + 51 + 97. Let t = 26 - j. Calculate z(t). -11 Let f(x) = -7*x**2 - 3*x + 19. Let b(k) = -20*k**2 - 10*k + 56. Let y be -2 + 2 + -3 - -9. Let g(s) = y*b(s) - 17*f(s). Let o = -24 - -14. What is g(o)? 3 Let l = -67 + 49. Let p = l - -10. Let c(d) = 2*d + 78 - 37 - 29. What is c(p)? -4 Let d = -684 + 681. Let h(g) = -g**3 - 3*g**2 - 6*g - 22. Let i be h(d). Let v(r) = -3*r**2 - 12*r + 5. What is v(i)? 5 Let m(c) = -252 - 80 + 311*c - 299*c. What is m(27)? -8 Let r(u) = 49*u - 285. Let n(w) = -5*w**2 + 47*w + 192. Let j be n(-3). Calculate r(j). 9 Suppose 0 = 3*j - 17 + 32. Let z(n) be the first derivative of n**4/4 + 5*n**3/3 - 5*n + 7. What is z(j)? -5 Let u = -165 + 167. Let y(x) = -15*x - 24*x + 1 + 45*x + x**u. Calculate y(-6). 1 Let w(m) = -29*m + 10. Let u(h) = -28*h + 10. Let n(s) = 4*u(s) - 3*w(s). Calculate n(2). -40 Let u(y) be the second derivative of -y**3/6 - y**2/2 + 523*y. Let a(s) = -2*s + s**2 - 1 - 3*s + 7 - 3*s. Let b be a(6). Give u(b). 5 Let z = -2 - -5. Suppose -n = -1, 3*n - z + 6 = 2*w. Let r(g) = 2*g**2 + 3*g - 3*g**2 - w - 3*g**2 + 2*g**2. Give r(2). -5 Let l(j) = j + 6. Suppose -o = -71 - 21. Let u = o + -104. Determine l(u). -6 Let d(z) = -66*z - 335. Let n be d(-5). Let a(l) = -l**3 + l - 1. Let b(y) = -6*y**2 - 2*y + 5. Let f(j) = a(j) + b(j). Determine f(n). -16 Let d(n) = 32*n - 2516762*n**2 + 2516761*n**2 - 18 - 12*n. Give d(19). 1 Let m(u) = 2*u**3 - 7 + 171*u**2 + u - u**3 - 165*u**2. Let v be ((-6)/(-4))/(4/16). Suppose r = z + 3*z + v, 4*r = -3*z - 33. Determine
{ "pile_set_name": "DM Mathematics" }
*r - 1. Let i be x(-3). Is a at least as big as i? True Let l(i) = 11*i**2 + i. Let y be l(-1). Let m(k) be the second derivative of -k**4/12 + 11*k**3/6 - 9*k**2/2 + 6*k. Let h be m(y). Is h > 2? False Let s = -168.3 + 169. Let u = -2 - -1. Which is greater: s or u? s Suppose -y + 3 + 9 = 4*n, 3*y - 5*n = -32. Which is greater: -5/2 or y? -5/2 Let y = 3032/3 + -1021. Let m = y - -157/12. Which is smaller: 4 or m? m Suppose 0 = -4*k + i, k + k = 4*i - 14. Which is bigger: -13 or k? k Let q be (0/2)/(1 + 0). Let y = 2 - q. Let h = -4 - -6. Is h greater than y? False Let l = -87.8 + 74. Let p = l + 14. Let n = -3 + 5. Are p and n equal? False Let n = 1 - -2. Suppose 0 = n*q - q. Suppose -5*m = -q*m + 5. Is 1/12 bigger than m? True Let m = -0.4 - 1.6. Let s = -322.4 - -322. Are s and m non-equal? True Suppose -24 = -d - 0*d. Suppose d = -a - 3*a. Let y be -3 + ((-10)/a - -1). Which is smaller: y or -0.1? y Let o be (-1)/2*0*1. Let z be 10/3 - (-3)/(-1). Which is greater: o or z? z Let k(x) = x**2 + 5*x + 3. Let v be k(-6). Is 9 at most as big as v? True Suppose 0 = 3*f - 5*v - 2, 5*v + 0*v - 10 = 0. Is f bigger than 8? False Suppose 13*x = 9*x - 16. Do x and -3 have different values? True Let x = 9.63 - 8.7. Let f = -0.07 - x. Which is smaller: -2 or f? -2 Let l(q) = q**2 + 8*q - 2. Suppose -2 - 26 = 4*u. Let z be l(u). Let r = 11 + z. Is r less than 3? True Suppose w + w - 4 = -2*f, 3*f = 5*w + 30. Suppose 0 = -k - v, 0 = -3*k + f*v - 2*v + 18. Suppose 4*c = -c + 15. Is c > k? False Let z be (13/299)/(2/2). Is z not equal to 1/3? True Suppose -4*r - 4*g + 115 = -309, 5*g - 209 = -2*r. Is 108 > r? True Let t be (-4)/(-6)*11 + 1/(-3). Is 7 at least as big as t? True Let p(v) be the second derivative of v**4/12 + v**3/2 + v**2/2 + 2*v. Let i be p(-4). Do 5 and i have the same value? True Let u = -66.9 - -67. Is u greater than -7? True Suppose -2*m = a + 1, -5*a - 5 = 6*m - 5*m. Is 2/59 not equal to m? True Suppose k - 6*k + 75 = 0. Suppose 2*y = 4*w + 7*y - k, -3*y = -9. Let i(b) = -b**2 - 9*b + 12. Let p be i(-10). Which is smaller: p or w? w Let j = -6 + 5.8. Let b = 0.1 + j. Let x = b - -0.07. Is 1/4 at most as big as x? False Let f = -21 - -20. Is -2/91 at most as big as f? False Let d = -5 - -6. Which is smaller: d or -1.5? -1.5 Let i = -0.9 - 1.1. Which is smaller: -15 or i? -15 Let g(v) be the second derivative of v**5/20 + v**4/6 - v**3/6 + v**2 - 2*v. Let m be g(-3). Let k = -4 - m. Are k and 1/2 nonequal? True Let v(q) = 3*q**3 - 2*q - 1. Let w be v(-1). Suppose s + 1 = 11. Suppose 5*d + 5*u + s = 0, u = -4 + 3. Does w = d? False Let o = -7 + 12. Let k = o + -4.7. Is -1/4 bigger than k? False Let n = -5 - -8. Is n at least 2? True Let c be ((-35)/(-21))/((-1)/(-15)). Let x = c + -26. Let l = 2.92 + 0.08. Do x and l have different values? True Let f = 0.71 - 0.81. Is f less than or equal to 8/5? True Let i(r) = -11*r**3 + 32*r**2 + 35*r + 11. Let g(h) = 7*h**3 - 21*h**2 - 23*h - 7. Let a(m) = 8*g(m) + 5*i(m). Let z be a(9). Which is bigger: z or -2? z Let s(q) = q**2 - 2*q - 5. Let y be s(4). Let i be (-1)/((y/2)/(-3)). Is i >= -1? True Let i(z) = -z**2 - 5*z + 3. Let n be i(-4). Let m be 0 + -3 - n/7. Suppose 0 = 4*g - 4 + 16. Which is bigger: g or m? g Suppose -3*v + 34 + 2 = 0. Let d be 2 - (39/v - 1). Suppose 5 = 2*b + 3. Are d and b non-equal? True Let b = 4937/20 - 1005/4. Is 1/3 > b? True Let u = 6 - 3. Let q(n) = -u*n + 4*n + 1 - n**2 + 1. Let m be q(2). Is m > 0? False Suppose -m - m - 12 = 0. Which is smaller: -25/4 or m? -25/4 Let u = 21 - 30. Which is greater: 0.1 or u? 0.1 Let i be ((-4)/(-1))/(-2 + 1). Let n be 0/(-2)*(-2)/i. Suppose 4*q + 7 - 3 = n. Which is smaller: 2/11 or q? q Let m = 136/57 - 39/19. Let v = 2/9 + 1/9. Is m bigger than v? False Let j be 2 - (-1 + -1 + 1). Let x(c) = 4*c**2 - 4. Let g(k) = -3*k**2 + k + 4. Let w(d) = j*g(d) + 2*x(d). Let q be w(4). Which is bigger: 1 or q? 1 Let r(x) = x**2 - 4*x + 3. Let a be r(2). Let h be (-2)/5 + (a - -1). Let q be (-6)/(-4)*(-4)/6. Is q != h? True Suppose -6*s = -2*s - 16. Let m = s + -3. Is -2/11 not equal to m? True Let k = 269/5 + -54. Which is greater: 0 or k? 0 Let i = -9.9 - 2.1. Let x = -6 - i. Let p = x - 4. Is -2/3 at least p? False Suppose l - 6*l - 100 = 0. Let o be (-3)/((l/(-2))/(-2)). Is o greater than or equal to 2? False Let u = 2 - 3. Let x(c) be the first derivative of -c**2/2 + 5*c + 1. Let h be x(6). Is u greater than or equal to h? True Suppose -3*l = -2*u - 16, 9 - 1 = 3*l + 2*u. Suppose -3*x + 4*x = 2. Let m be (x*(-2)/l)/1. Is -2/5 bigger than m? True Let t = 0.46 - 0.46. Is -10 greater than or equal to t? False Suppose 0 = 5*z - 4*b + 3, 0 = 2*b - 0*b - 4. Is 3/20 != z? True Let z be 1/(-1 + 3 - 1). Which is greater: 2 or z? 2 Let x be ((1 - -3)/(4 - 2))/(-5). Let c = 5/8 - 3/8. Which is bigger: c or x? c Let z = -0.07 - 0.03. Which is smaller: z or 2? z Let t(k) = -k**3 - 9*k**2 - 9*k - 11. Let i be t(-8). Let n be (-2 - -1)/(3/9). Let l = -2 - n. Which is bigger: l or i? l Suppose 1 = v - 0*v. Let n be v/2 - (-7)/14. Which is smaller: n or 1/7? 1/7 Let f(k) = -k**3 - 8*k**2 - 2*k - 12. Let t be f(-8). Let i(z) = -z**3 + 7*z**2 - 7*z + 8. Let s be i(6). Is s smaller than t? True Suppose 4*q - 20 = 3*i, 0 = -3*i - i + 4*q - 32. Let p be i/(-9)*(-9)/(-8). Suppose -g = -0*g - 1. Which is smaller: g or p? g Let h = -1.6 + 13.6. Which is smaller: h or -1? -1 Let i be 4 - (1 - (-4)/(-1)). Is i > 8? False Let n be (-10)/(-25)*20/2. Suppose -n = -4*o - 3*l, 0 = -4*o - 3*l + 8*l + 36. Suppose u = -o*u. Which is smaller: u or 1/2? u Let b = -12 - -11.8. Are -1.2 and b non-equal? True Let h = -38.2 + 38. Let x = 1 + 3. Let k be x/(-1)*(-1)/10. Are h and k nonequal? True Let x = -3.5 + 7.7. Let z = 0.2 + -0.4. Let q = x + z. Which is smaller: q or -1? -1 Let t = 13.1 - 13.4. Which is smaller: -2/27 or t? t Let y = -205/7 + 30. Let a(s) = -s**3 + 4*s**2 + 4*s + 6. Let r be a(5). Which is smaller: y or r? y Let a be 32/8*2/1. Let t be (-3)/9*6/a. Which is smaller: -1 or t? -1 Let g be (-28)/(-6) - 12/18. Let j = g - 4. Is 3 at most as big as j? False Let h = -4 - -14/3. Suppose -2*i = -g, 0 = 3*g - 4 - 8. Which is greater: i or h? i Let l = -3 - 5. Let s = -5 - l. Let p = 1 - -1. Which is greater: s or p? s Let p(z) = z + 8. Let d be p(-6). Suppose 0 = -4*x + 3*a - 6, d*a + a = 5*x + 6. Suppose 0 = 2*o + 5*v + 14 - 1, 3 = -3*o - 2*v. Is x < o? True Let y be 6/411*(-554)/(-12). Let k be 4 + 2194/(-274) + 4. Let x = y + k. Which is smaller: 0.1 or x? 0.1 Suppose 5*n + s - 12 = 11, -2*n - s = -8. Suppose 2*u - 6 = -2*j, 17 = n*j + 3*u + u. Which is smaller: -1 or j? -1 Let k be 1/(-2) - (-22)/4. Suppose 0 = k*o - o. Let i(l) = l + 6. Let s be i(-5). Which is smaller: o or s? o Let t(o) = 14*o**2 + 3*o - 2. Let n be t(1). Is n <= 15? True Let l = 34 - 31.9. Let o = -22 - -24. Let n = l - o. Which is greater: n or 4/5? 4/5 Let l = 67 - 403/6. Let f be (-2)/(-5) - 6/15. Suppose f = 2*j + j. Is l > j? False Suppose 2*b - 4*b - 2*p + 24 = 0, 28 = 3*b - p. Let v(o) = 5*o**2 + 5*o. Let y be v(-2). Is y not equal to b? False Suppose -12 = -r - 3*r. Suppose 0 = 5*f + 2*s - 53, 2*f + 3*s - 34 = -s. Let g be (-4)/(-18) - (-25)/f. Is g less than or equal to r? True Let k(s) = s**3 - s**2 + 1. Let t be k(0). Suppose 2*d - 5*h = 0, 5*h - 7 = -d + 8. Suppose 2 = -i + d. Which is bigger: i or t? i Let n = -6 - -11. Suppose -3*v - 5 = -4*u + 14, -2*v - n = 5*u. Does v = -3? False Suppose -3*i + 3*f = -24, -2*i - 5*f + 26 = -2*f. Are i and 10 non-equal? False Let y be 2/20 - (-3)/(-5). Let i = 0.1 - 0.1. Which is smaller: i or y? y Let t = 4 - -2. Suppose -g = g - t. Which is smaller: 1/5 or g? 1/5 Let s(o) = -o**2 - o + 4. Suppose 0*a - 3*a = 0. Let c be s(a). Suppose -11 = -3*j + c. Which is bigger: j or 0.1? j Let l be (-40)/(-25) - (-2)/5. Suppose 0 = 3*f + l*w - 26, -3*f + 21 + 9 = 3*w. Let h = f + -8. Which is bigger: -2/3 or h? -2/3 Let j be 4*((-14)/4)/(-7). Suppose 4*t + 3*y = -11, j*y + 20 = -2*y. Which is smaller: 1/3 or t? 1/3 Let n be 3/75*(0 + -1). Let s = -18/175 + n. Which is greater: -1 or s? s Let d(i) = -7*i + 2. Let h = -17 + 24. Let o(y) = 8*y - 1. Let l(j) = h*d(j) + 6*o(j). Let u be l(4). Is 4 < u? False Let u = -4 + 2. Let i = u - -3. Let t be (-10
{ "pile_set_name": "DM Mathematics" }
lacement from {b: 1, u: 3}. Give prob of sequence ub. 1/4 Four letters picked without replacement from {h: 5, v: 9}. Give prob of sequence hvvh. 60/1001 Calculate prob of sequence io when two letters picked without replacement from ytrrprpprirroprrpirp. 1/190 What is prob of sequence mc when two letters picked without replacement from vcvmccccvcccmcimiic? 5/57 Two letters picked without replacement from oqasqrrsss. What is prob of sequence os? 2/45 Four letters picked without replacement from drrd. What is prob of sequence rdrd? 1/6 What is prob of sequence fhb when three letters picked without replacement from {s: 1, r: 4, b: 2, m: 3, f: 4, h: 3}? 1/170 Two letters picked without replacement from cchccdpchdhcphpkc. Give prob of sequence dp. 3/136 Four letters picked without replacement from {b: 2, h: 17}. Give prob of sequence hhhh. 35/57 Calculate prob of sequence ok when two letters picked without replacement from knonnknkonnkokoknk. 14/153 What is prob of sequence ts when two letters picked without replacement from smhddhtssbhs? 1/33 What is prob of sequence nn when two letters picked without replacement from {n: 7}? 1 Calculate prob of sequence siis when four letters picked without replacement from {i: 10, s: 9}. 45/646 Calculate prob of sequence aaw when three letters picked without replacement from wwawwaw. 1/21 Calculate prob of sequence zf when two letters picked without replacement from {z: 2, f: 2}. 1/3 Three letters picked without replacement from zhdalldlll. Give prob of sequence lzd. 1/72 Two letters picked without replacement from jyjjjyjyjjjj. What is prob of sequence jy? 9/44 Calculate prob of sequence tqzz when four letters picked without replacement from {z: 2, q: 1, i: 4, t: 1}. 1/840 Calculate prob of sequence on when two letters picked without replacement from {n: 1, o: 2, x: 2, k: 4}. 1/36 Three letters picked without replacement from dluqw. What is prob of sequence wuq? 1/60 Calculate prob of sequence udcd when four letters picked without replacement from dducydydddyydcddycdd. 11/3876 Two letters picked without replacement from dwdedddeddeddedde. What is prob of sequence wd? 11/272 Two letters picked without replacement from {d: 1, x: 2, e: 1, u: 2, n: 1}. What is prob of sequence xx? 1/21 Calculate prob of sequence jhph when four letters picked without replacement from hjlqdqphjhlq. 1/990 Calculate prob of sequence ssxp when four letters picked without replacement from pqxalslqpxsq. 1/1485 Two letters picked without replacement from jmajqje. Give prob of sequence em. 1/42 Two letters picked without replacement from ttttttbttttbtttb. What is prob of sequence tt? 13/20 Three letters picked without replacement from bbuuuuuuub. What is prob of sequence ubu? 7/40 Four letters picked without replacement from {k: 1, h: 5, y: 8, n: 4}. What is prob of sequence nkhn? 1/1224 Two letters picked without replacement from {p: 7, m: 5}. What is prob of sequence pm? 35/132 Four letters picked without replacement from hhhghggguhuhgh. What is prob of sequence uhgh? 5/286 Two letters picked without replacement from {j: 5, e: 4, h: 2}. Give prob of sequence hh. 1/55 Calculate prob of sequence oo when two letters picked without replacement from {o: 9, w: 3}. 6/11 Calculate prob of sequence gb when two letters picked without replacement from rgrbbbbrbrbbr. 7/156 Two letters picked without replacement from kqjqjjkjq. What is prob of sequence jj? 1/6 Three letters picked without replacement from cra. Give prob of sequence rca. 1/6 Calculate prob of sequence xypc when four letters picked without replacement from {n: 2, c: 1, p: 1, y: 1, x: 1, u: 1}. 1/840 Three letters picked without replacement from {c: 10, i: 10}. What is prob of sequence iic? 5/38 What is prob of sequence qvq when three letters picked without replacement from {q: 6, v: 3, k: 5, o: 1}? 3/91 What is prob of sequence kvj when three letters picked without replacement from {g: 1, a: 1, k: 1, j: 1, v: 1}? 1/60 Three letters picked without replacement from nktnjxjxxxtpnntxkxk. What is prob of sequence kxt? 3/323 What is prob of sequence zz when two letters picked without replacement from zzrzrazrrzr? 2/11 Two letters picked without replacement from {n: 1, g: 8, r: 2, k: 1, z: 1, h: 1}. Give prob of sequence hg. 4/91 Three letters picked without replacement from hsuusuuhsesgh. Give prob of sequence hgu. 1/143 Calculate prob of sequence pu when two letters picked without replacement from upwrwuw. 1/21 What is prob of sequence xv when two letters picked without replacement from ivyywvxvmiyyyvvwiymw? 1/76 Three letters picked without replacement from {i: 9, b: 6, j: 3, q: 1}. What is prob of sequence jjb? 2/323 Calculate prob of sequence rsd when three letters picked without replacement from {d: 2, s: 1, r: 2}. 1/15 Four letters picked without replacement from fblnv. What is prob of sequence lfvb? 1/120 Calculate prob of sequence ef when two letters picked without replacement from {e: 11, f: 9}. 99/380 Calculate prob of sequence ha when two letters picked without replacement from hahgfbgcbhb. 3/110 What is prob of sequence lnn when three letters picked without replacement from {t: 1, d: 1, n: 6, l: 1}? 5/84 Four letters picked without replacement from {y: 1, g: 1, e: 5, h: 2}. Give prob of sequence eghe. 5/378 Three letters picked without replacement from {d: 2, o: 3, l: 3, u: 1, f: 1, h: 2}. What is prob of sequence hdu? 1/330 Three letters picked without replacement from pxxp. What is prob of sequence pxp? 1/6 What is prob of sequence iiv when three letters picked without replacement from irviivrivivirr? 5/91 Three letters picked without replacement from {w: 3, y: 2, b: 2, x: 2, m: 2, f: 1}. What is prob of sequence wmm? 1/220 Four letters picked without replacement from {p: 7, x: 1, m: 8, w: 4}. Give prob of sequence wppp. 7/969 Four letters picked without replacement from {j: 5}. Give prob of sequence jjjj. 1 Four letters picked without replacement from {g: 3, s: 6, d: 8, k: 1}. What is prob of sequence sgkd? 1/510 Calculate prob of sequence wx when two letters picked without replacement from wbwbxxxxbbwxwwxxx. 5/34 What is prob of sequence wh when two letters picked without replacement from {w: 10, h: 4, p: 5}? 20/171 Calculate prob of sequence bbk when three letters picked without replacement from bkkkkbkkkbkkkkkk. 13/560 What is prob of sequence hh when two letters picked without replacement from {q: 4, h: 14}? 91/153 Calculate prob of sequence uuuu when four letters picked without replacement from {f: 8, u: 5}. 1/143 What is prob of sequence qf when two letters picked without replacement from {q: 1, f: 2, d: 3, l: 1}? 1/21 Three letters picked without replacement from qkkgkgkkgkgkqkgrkmqk. What is prob of sequence rmq? 1/2280 What is prob of sequence qiii when four letters picked without replacement from iiqiq? 1/10 Three letters picked without replacement from {f: 5, u: 2, k: 1, z: 2, l: 4}. Give prob of sequence kuf. 5/1092 Three letters picked without replacement from vohnenoovnhoooev. Give prob of sequence enn. 1/280 Calculate prob of sequence ysy when three letters picked without replacement from sysssyyssy. 1/10 Calculate prob of sequence zk when two letters picked without replacement from {k: 3, z: 4}. 2/7 Calculate prob of sequence uttu when four letters picked without replacement from tttutut. 1/21 Two letters picked without replacement from {p: 2, c: 2, d: 6, l: 3}. What is prob of sequence cl? 1/26 Calculate prob of sequence cce when three letters picked without replacement from {c: 2, e: 1}. 1/3 Two letters picked without replacement from ptpo. What is prob of sequence pt? 1/6 What is prob of sequence ao when two letters picked without replacement from {o: 3, n: 3, g: 1, a: 4}? 6/55 Three letters picked without replacement from kcckcexjxc. Give prob of sequence xcj. 1/90 What is prob of sequence kka when three letters picked without replacement from jkkkvkajakja? 1/22 Three letters picked without replacement from owoeeeoee. Give prob of sequence oew. 5/168 Two letters picked without replacement from rrrxrrrrrjpjp. What is prob of sequence pp? 1/78 Calculate prob of sequence oa when two letters picked without replacement from {o: 2, a: 1}. 1/3 What is prob of s
{ "pile_set_name": "DM Mathematics" }
hat is the next term in 1051640, 1051643, 1051646, 1051649? 1051652 What is next in -4525, -9046, -13557, -18052, -22525, -26970, -31381, -35752? -40077 What is next in 101, 429, 757, 1085? 1413 What is next in -38202, -76402, -114602, -152802? -191002 What is the next term in -24062, -24068, -24070, -24068? -24062 What is the next term in -4534, -9057, -13576, -18091, -22602, -27109, -31612? -36111 What is next in -130, 11, 252, 593, 1034, 1575? 2216 What comes next: 1375, 2735, 4095, 5455, 6815? 8175 What is the next term in 93336, 93340, 93344, 93348, 93352, 93356? 93360 What is the next term in 4651, 9261, 13871, 18481, 23091? 27701 What comes next: -226175, -226172, -226171, -226172, -226175, -226180, -226187? -226196 What is next in -43022, -43021, -43018, -43013, -43006, -42997, -42986? -42973 What is the next term in -7516, -15034, -22550, -30064, -37576? -45086 What is the next term in -7201, -28789, -64771, -115153, -179941? -259141 What comes next: -805, -1572, -2371, -3220, -4137, -5140, -6247? -7476 What comes next: -109428, -109429, -109430? -109431 What is the next term in -744, -777, -828, -897, -984? -1089 What is next in 215, 362, 507, 650, 791? 930 What comes next: 4050, 3871, 3690, 3507, 3322, 3135? 2946 What is the next term in -14862, -14845, -14832, -14829, -14842, -14877, -14940? -15037 What comes next: -455, -920, -1399, -1898, -2423, -2980? -3575 What comes next: -24842, -24897, -24990, -25121, -25290, -25497, -25742? -26025 What is the next term in -373, -399, -497, -709, -1077? -1643 What comes next: -1489, -5955, -13397, -23815, -37209? -53579 What is the next term in 711275, 711273, 711271, 711269? 711267 What is next in -5405, -10846, -16347, -21938, -27649, -33510, -39551, -45802? -52293 What is the next term in -3913, -3923, -3933, -3943? -3953 What is the next term in 90, 700, 2384, 5688, 11158, 19340? 30780 What is the next term in -631, -1327, -2023, -2719? -3415 What is the next term in 22808, 45614, 68420? 91226 What is the next term in -153, -142, -153, -198, -289, -438? -657 What comes next: 650, -62, -774, -1486, -2198? -2910 What is the next term in 346, 342, 304, 214, 54, -194? -548 What is next in 5599, 11214, 16829? 22444 What is next in -1635, -6476, -14525, -25782, -40247? -57920 What comes next: 17307, 34610, 51913? 69216 What comes next: 1946, 3885, 5818, 7745, 9666, 11581, 13490? 15393 What is the next term in -1635, -1581, -1527, -1473? -1419 What is next in 13, 43, 93, 169, 277, 423, 613? 853 What comes next: -82, -62, -24, 38, 130, 258, 428? 646 What is next in 2360, 2365, 2372, 2381, 2392, 2405? 2420 What is next in 116, 934, 3164, 7514, 14692? 25406 What is the next term in -4733, -4777, -4821, -4865, -4909? -4953 What is the next term in 519271, 519270, 519269, 519268, 519267? 519266 What comes next: 4419, 8803, 13187, 17571, 21955, 26339? 30723 What is the next term in -185, -150, -115, -80, -45? -10 What is next in 32005, 32004, 32003, 32002? 32001 What is the next term in 6101, 12130, 18159, 24188? 30217 What is the next term in -30430, -30449, -30468, -30487, -30506, -30525? -30544 What comes next: 3131, 6254, 9377, 12500, 15623, 18746? 21869 What comes next: -44422, -44543, -44666, -44791, -44918, -45047? -45178 What comes next: -4375419, -4375421, -4375425, -4375431, -4375439, -4375449, -4375461? -4375475 What comes next: 242068, 242069, 242070, 242071? 242072 What is next in -5523, -11044, -16561, -22074, -27583, -33088? -38589 What is the next term in 344, 488, 632, 776? 920 What is next in 4582, 4548, 4514, 4480, 4446? 4412 What comes next: 18761, 37553, 56335, 75101, 93845, 112561, 131243? 149885 What comes next: -664, -1325, -1986, -2647, -3308? -3969 What comes next: 441, 913, 1369, 1803, 2209, 2581? 2913 What comes next: -154, -741, -1778, -3271, -5226, -7649? -10546 What is next in 73249, 146536, 219825, 293116, 366409, 439704? 513001 What comes next: -5858, -11717, -17576? -23435 What is the next term in -3553, -14259, -32103, -57085, -89205, -128463, -174859? -228393 What is the next term in 1148, 1153, 1158, 1163? 1168 What comes next: -111292, -111291, -111290, -111289, -111288? -111287 What comes next: 981890, 981891, 981892? 981893 What comes next: -1831, -3730, -5629, -7528, -9427, -11326? -13225 What is next in -539, -1111, -1707, -2327, -2971, -3639? -4331 What is next in -1097, -1318, -1685, -2198? -2857 What comes next: -3031, -3058, -3085, -3112, -3139, -3166? -3193 What is the next term in -69764, -69767, -69770, -69773, -69776? -69779 What is the next term in -430887, -430885, -430883, -430881? -430879 What is next in 174, 126, 78? 30 What is the next term in 90663, 181331, 271997, 362661, 453323? 543983 What comes next: 432, 1641, 3606, 6321, 9780, 13977, 18906, 24561? 30936 What is next in 187, 756, 1751, 3172? 5019 What is the next term in 103150, 206298, 309448, 412600, 515754, 618910, 722068? 825228 What is next in -30, -90, -160, -246, -354? -490 What is next in 1372, 1368, 1338, 1270, 1152, 972, 718, 378? -60 What is next in -1814, -1950, -2086, -2228, -2382, -2554, -2750? -2976 What comes next: -26174, -26153, -26096, -25985, -25802, -25529, -25148? -24641 What is the next term in 2789, 2788, 2785, 2780, 2773, 2764, 2753? 2740 What comes next: 6137, 12276, 18415, 24554, 30693, 36832? 42971 What is next in 5, 21, 53, 95, 141, 185, 221? 243 What comes next: 189, 72, -131, -462, -963? -1676 What is next in 12903, 25828, 38751, 51672, 64591, 77508? 90423 What comes next: -328, -2743, -9290, -22033, -43036, -74363, -118078? -176245 What is the next term in 41255, 82501, 123737, 164963, 206179? 247385 What comes next: -26609, -26626, -26667, -26744, -26869? -27054 What comes next: -750, -1463, -2132, -2751, -3314, -3815, -4248? -4607 What is next in 50977, 50971, 50961, 50947? 50929 What comes next: 620, 1386, 2296, 3350, 4548, 5890? 7376 What is next in -25021, -50046, -75071? -100096 What comes next: 669720, 1339439, 2009158? 2678877 What comes next: 775, 1517, 2175, 2707, 3071, 3225, 3127? 2735 What is the next term in 3673, 7345, 11017, 14689, 18361, 22033? 25705 What is the next term in 1780, 7142, 16086, 28618, 44744, 64470? 87802 What is next in 456, 1890, 4298, 7686, 12060, 17426, 23790? 31158 What is the next term in 1628, 3264, 4900, 6536, 8172, 9808? 11444 What is next in -294, -690, -1262, -2094, -3270? -4874 What is next in 9946, 19903, 29862, 39823? 49786 What is the next term in -346, -684, -1032, -1396, -1782, -2196? -2644 What is the next term in 93288, 93287, 93286? 93285 What is next in 152, -20, -472, -1342, -2768, -4888? -7840 What is next in -535, -518, -501, -484, -467? -450 What comes next: 71825, 71827, 71829? 71831 What is next in -2245, -3364, -4481, -5596, -6709? -7820 What is next in 1047, 3459, 7479, 13107, 20343, 29187? 39639 What is next in 5178, 5172, 5166, 5160? 5154 What is the next term in -68694, -68684, -68670, -68652, -68630? -68604 What comes next: 1079, 4360, 9829, 17486, 27331, 39364? 53585 What comes next: 8624, 68950, 232682, 551522, 1077172? 1861334 What is the next term in -1112921, -1112928, -1112935, -1112942? -1112949 What is next in -44, -78, -102, -116, -120, -114? -98 What is next in 40964, 81926, 122888, 163850? 204812 What is the next term in 306, -705, -2388, -4743, -7770? -11469 What is the next term in 876, 924, 968, 1008, 1044, 1076, 1104? 1128 What is next in 257, 1005, 2165, 3665, 5433, 7397, 9485, 11625? 13745 What is next in -2297, -4557, -6817, -9077? -11337 What is the next term in -3102, -12356, -27778, -49368? -77126 What comes next: 3528, 7130, 10732? 14334 What comes next: 183, 168, 145, 108, 51, -32? -147 What comes next: 6027, 6090, 6153? 6216 What is next in -112, -119, -104, -49, 64, 253? 536 What is the next term in -636, -591, -546, -501? -456 What is the next term in 5685, 22721, 51121, 90891, 142037, 204565? 278481 What is the next term in 134, 5, -208, -505, -886, -1351? -1900 What is next in -7584, -7505, -7428, -7353, -7280, -7209, -7140? -7073 What is next in -123247, -123248, -123249, -123250, -123251, -123252? -123253 What is next in -164729, -164705, -164669, -164615, -164537, -164429? -164285 What is next in -94790, -94803, -94824, -94853, -94890? -94935 What is next in 4
{ "pile_set_name": "DM Mathematics" }
4845c (base 16) in base 8? 1102134 222211221112101 (base 3) to base 16 d9bab1 What is -286440 (base 12) in base 15? -d4ce9 What is 40b96 (base 13) in base 5? 12204401 What is 672380 (base 13) in base 10? 2432690 Convert 4143200 (base 7) to base 2. 1111001100111010110 68056 (base 13) to base 16 2e255 51432464 (base 7) to base 15 5a23b8 What is -114134 (base 8) in base 5? -2222004 852555 (base 9) to base 8 1736346 Convert ad242 (base 14) to base 3. 210100112000 Convert -34715765 (base 8) to base 11. -4305427 What is 101011010011010110 (base 2) in base 16? 2b4d6 10001100100111011 (base 2) to base 3 10122202111 1ff97 (base 16) to base 4 133332113 What is 215635 (base 12) in base 15? a6665 -331232 (base 8) to base 11 -76654 What is -1143001231 (base 5) in base 9? -5070224 What is -30432043 (base 5) in base 9? -418532 What is -10110010101110011 (base 2) in base 8? -262563 -320320 (base 5) to base 14 -3c90 What is 1021033222 (base 4) in base 7? 2356444 -1023001001 (base 4) to base 6 -10330305 Convert -79856 (base 12) to base 9. -266103 -42a352 (base 11) to base 7 -5561355 2032205 (base 9) to base 11 680628 What is -681057 (base 9) in base 3? -202201001221 Convert -c6951 (base 13) to base 8. -1272175 Convert -682364a (base 11) to base 10. -11951829 1cd38 (base 14) to base 9 122377 Convert 1320220010 (base 4) to base 15. 9b5de Convert 1101201212021 (base 3) to base 4. 2311111132 Convert -11222212221200 (base 3) to base 4. -22020030012 -20dc2d (base 15) to base 13 -42a66c Convert -116e5 (base 16) to base 12. -35399 Convert -1220340 (base 8) to base 5. -41223341 What is 40521270 (base 8) in base 5? 4142430321 Convert -114703 (base 10) to base 16. -1c00f Convert -212001022210 (base 3) to base 11. -28a942 1001011111010001 (base 2) to base 14 10241 What is -23012243 (base 5) in base 10? -204073 What is 1b65c7 (base 13) in base 6? 22555050 -513109 (base 10) to base 5 -112404414 Convert -135ac4 (base 14) to base 4. -2203103330 5c3 (base 15) to base 12 910 cc4d08 (base 14) to base 7 112614311 What is 1495888 (base 11) in base 2? 1001101111110101110101 49a803 (base 12) to base 2 100100101000100000011 Convert 2405011 (base 6) to base 11. 86324 What is 5611676 (base 11) in base 6? 550531404 -110110010001101001 (base 2) to base 9 -367854 Convert 448e6 (base 16) to base 13. 9aa76 244a77 (base 12) to base 8 2176373 Convert 4497e (base 15) to base 7. 1565663 What is 11110001202 (base 3) in base 8? 252747 Convert -36447 (base 11) to base 2. -1100110011011100 What is 126543 (base 13) in base 5? 103124442 122000012111 (base 3) to base 9 560174 -c54a81 (base 13) to base 8 -21451610 16053553 (base 7) to base 13 420295 What is -11110000011000111 (base 2) in base 12? -5b287 Convert -2122333132 (base 4) to base 3. -1012020211211 Convert -724111 (base 9) to base 6. -13112144 Convert 21211010001012 (base 3) to base 8. 17663704 Convert 4405444 (base 8) to base 14. 22ad24 What is 100101101001110000 (base 2) in base 11? a5964 Convert 124174 (base 8) to base 13. 1682b 29ab9 (base 16) to base 15 3588b 6b903 (base 13) to base 7 1450340 What is -21103 (base 7) in base 4? -1101031 Convert -1123101 (base 5) to base 2. -100111110110001 What is -313747 (base 10) in base 3? -120221101021 What is 20122221201000 (base 3) in base 2? 1101100000101111101011 2431343124 (base 5) to base 4 111313023133 Convert 1015144224 (base 6) to base 15. de7284 Convert -215452523 (base 6) to base 4. -32322300003 What is 110101001110111011 (base 2) in base 9? 362080 What is -a699 (base 15) in base 3? -1210100100 Convert 13234a4 (base 12) to base 3. 21010000221221 -134765 (base 11) to base 15 -428b1 -23551 (base 6) to base 15 -1051 Convert -1012221201112 (base 3) to base 16. -9e5a0 What is 2e337 (base 15) in base 5? 14233402 What is 1110011001000010100110 (base 2) in base 3? 21002200000021 a2785 (base 13) to base 4 1013013200 Convert 660154 (base 9) to base 3. 202000011211 -54261 (base 15) to base 8 -1011636 5606025 (base 7) to base 5 134104124 -5914b (base 12) to base 14 -31751 -36366 (base 13) to base 10 -99456 -101321 (base 12) to base 13 -8a340 What is -31114203 (base 6) in base 5? -212141400 What is -b198 (base 12) in base 9? -28378 What is -345837 (base 10) in base 16? -546ed Convert -221222131102 (base 4) to base 5. -10243444220 -132c2a (base 13) to base 10 -463434 1011001001101111101010 (base 2) to base 9 5445251 What is 1101702 (base 11) in base 4? 13120113020 What is -112300434 (base 6) in base 7? -23435344 Convert -1001440 (base 6) to base 4. -23133000 What is 4741554 (base 8) in base 7? 14003062 14756007 (base 8) to base 7 40613432 -224300304 (base 5) to base 6 -33345222 Convert -2726c0 (base 14) to base 12. -552080 What is -24113211 (base 5) in base 9? -368721 69d24 (base 14) to base 3 111002121010 What is 312431441 (base 5) in base 3? 2102211121020 What is 1abc4c (base 14) in base 8? 3510334 What is 5515 (base 10) in base 14? 201d Convert -121121002303 (base 4) to base 14. -c53a15 -10404422 (base 6) to base 2 -1001100001011111110 1382755 (base 9) to base 10 763151 -dd0b (base 14) to base 11 -267a6 -43524422 (base 6) to base 12 -529712 Convert 99405 (base 11) to base 2. 100011001101101101 What is -bc02c (base 15) in base 13? -17bc02 Convert 307161 (base 8) to base 16. 18e71 -1241bd (base 14) to base 4 -2120311023 7986bd (base 16) to base 6 442411553 -2562322 (base 10) to base 15 -359317 What is -13bba (base 14) in base 5? -3031333 What is -33ceaf (base 16) in base 7? -40600452 What is -230232323 (base 5) in base 9? -1830705 64334400 (base 8) to base 10 13744384 What is -34f8fa (base 16) in base 5? -1342042420 What is -32154133 (base 8) in base 4? -122031201123 What is -d09a (base 16) in base 9? -81225 Convert -c5a597 (base 13) to base 3. -22200210011210 What is 1162143 (base 7) in base 12? 72710 What is 98a856 (base 16) in base 3? 200211021200111 What is 1120340202 (base 5) in base 12? a117b3 What is -1140553010 (base 6) in base 15? -12040d0 What is -6603402 (base 8) in base 11? -aaa862 63056 (base 14) to base 9 403517 -22122200222101 (base 3) to base 5 -2134144343 185e62 (base 15) to base 16 1212ec Convert 169815 (base 10) to base 9. 277843 What is -1a5738 (base 11) in base 14? -82b24 What is 644015 (base 8) in base 16? 3480d What is -4b188 (base 16) in base 8? -1130610 Convert -331166 (base 9) to base 4. -300101010 Convert -27750204 (base 8) to base 6. -342330500 Convert -d5407 (base 14) to base 4. -1331131333 Convert 2dd3 (base 16) to base 9. 17074 Convert 3300304 (base 12) to base 8. 45012664 What is -220301055 (base 6) in base 11? -2253218 -18bb61 (base 15) to base 8 -4457542 Convert 222342 (base 5) to base 11. 5994 Convert -334607 (base 10) to base 11. -209439 What is 2102375 (base 8) in base 15? b0673 What is 1481826 (base 11) in base 16? 26af34 Convert ba72d (base 14) to base 2. 1101110001101100101 -10302701 (base 8) to base 6 -115030545 Convert c3813 (base 13) to base 10. 350691 What is -3c8a (base 14) in base 5? -320311 What is -248043 (base 13) in base 7? -10301310 What is 835338 (base 12) in base 15? 2aae55 Convert -2573150 (base 9) to base 7. -14645124 -31731b (base 14) to base 13 -466ba0 Convert 20020301000 (base 4) to base 13. 598b83 Convert 4f41a (base 16) to base 13. b49bb Convert 633a8 (base 16) to base 3. 202122112100 What is 10000000011001000110 (base 2) in base 12? 214406 What is -191832 (base 10) in base 7? -1426164 Convert -102112120210122 (base 3) to base 6. -335241112 -113386 (base 15) to base 2 -11001000011010111110 What is 3959ca (base 14) in base 4? 13202021132 What is -c950 (base 13) in base 11? -19aaa What is -354cb (base 13) in base 16? -17ce7 Convert 101121010202 (base 3) to base 7. 1526102 Convert -1886010 (base 12) to base 15. -6bbbc3 Convert 97b9 (base 14) to base 6. 321235 What is -123630666 (base 7) in base 6? -440430033 -ece65 (base 16) to base 2 -11101100111001100101 4b038 (base 14) to base 5 21341043 15602503 (base 7) to base 9 2756187 Convert 23322423 (base 5) to base 13. 765c3 Convert 35ba9 (base 14) to base 8. 400311 What is aba58b (base 16) in base 15? ec30aa Convert 11012110 (base 4) to base 11. 14766 What is 1125b51 (base 14) in base 7? 126234331 What is -14523100 (base 7) in base 12? -568b5a Convert 8ab543 (base 15) to base 6. 353514043 What is 5
{ "pile_set_name": "DM Mathematics" }
-8*x + 4*j + 20 = -4*x. Suppose 0 = -2*o - r*o + x*p + 83, 2*p = -2*o + 38. What is the units digit of o? 0 Let j(o) = 31*o + 3. Let x be j(4). Suppose q + 2*c - 5*c = -55, 2*c - 223 = 5*q. Let y = x + q. What is the tens digit of y? 8 Suppose -c - 100 = -5*c. Suppose -2 = 24*p - c*p. Suppose -2*o - 3*a + 111 = 0, p*o + 4*a - 99 = 7. What is the units digit of o? 3 Suppose 0 = -3*v - 15, 9*v - 4*v = t - 24. What is the hundreds digit of -4 + t + (322 - 6)? 3 Let w be 690/1 + (0 - 5). Suppose -w = 9*f + 1061. Let t = 301 + f. What is the tens digit of t? 0 Let o be 5 + 1 + (-23 - -23). Suppose -8*r - 2316 = -5*i - o*r, 4*i - 1842 = -2*r. What is the tens digit of i? 6 Let l(u) = -u**3 + 15*u**2 - u + 18. Suppose 45 = -2*k + 5*k. Let h be l(k). What is the hundreds digit of ((-250)/6)/((-1)/h)? 1 Let b = 38321 + -19588. What is the tens digit of b? 3 Suppose -q + 31954 = 4*o, 15*o + 4*q = 12*o + 23946. What is the units digit of o? 0 Let j = 76108 + -43017. What is the tens digit of j? 9 Let m(g) = g**3 + g**2 + 17. Let z be m(0). Suppose 14198 + 6644 = z*l. What is the hundreds digit of l? 2 Let q(l) = 294*l**3 + 52*l - 214. What is the units digit of q(5)? 6 Let u(v) = 1538*v**2 + 3*v + 19. What is the hundreds digit of u(-3)? 8 Let y(v) = 419*v**2 + v + 27 - 2*v - 2*v + 78*v**2 - 13*v. What is the thousands digit of y(2)? 1 Let h = -30 - -26. Let r be 1 - h/(-2 - -4). Suppose b + 2 = 0, -2*s + r*b + 117 + 65 = 0. What is the tens digit of s? 8 Suppose 0 = 2*s + 4*c + 2, 5 - 3 = -2*s + c. What is the hundreds digit of (s + -5 - 2*-2) + 798? 7 Suppose -2*d = -5*d + 3. Let q = 382 + -233. Let u = d + q. What is the units digit of u? 0 Let n(l) = l**2 + 38*l. Let a be n(-38). Suppose -3*v - 9*h = -6*h - 2514, -3*v + 4*h + 2514 = a. What is the units digit of v? 8 Let s(y) = 5*y + 0*y**3 - 2*y - 22 + 15*y + 32*y - 14*y**2 + y**3. What is the tens digit of s(14)? 7 Let n = -42874 - -64927. What is the hundreds digit of n? 0 Let f = 1178 - 782. Suppose 19*z = -2*n + 14*z + f, 3*z - 200 = -n. What is the tens digit of n? 8 Let g = -20 + 23. Suppose -3*k = 2*w - 74, 79 = g*k + w - 0*w. What is the tens digit of ((-300)/k + 3)/(2/(-28))? 0 Let g be (-170)/(-3) + (-2)/(-6). Let d be (-2 + -23)/(116/116). Let l = d + g. What is the units digit of l? 2 Let m = -9256 + 13764. What is the thousands digit of m? 4 Let a(j) be the first derivative of -53*j**4/6 - j**3/3 - 7*j**2/2 - 30. Let n(v) be the second derivative of a(v). What is the tens digit of n(-1)? 1 Let a(u) = 18 + 24 - 31 + 4*u. Let i be a(0). What is the tens digit of (i/(-1))/(20/(-100))? 5 Suppose -6 + 2 = 2*r, -64 = -5*m + 2*r. Let y(t) = -31*t + 11. Let l(i) = -38*i + 12. Let s(c) = -5*l(c) + 6*y(c). What is the tens digit of s(m)? 5 What is the hundreds digit of (-547*(-5)/20)/((-12)/(-2592))? 5 What is the units digit of ((-689)/(-2))/(18 - 1284/72)? 7 Let k = -27097 - -52090. What is the units digit of k? 3 Let i(v) = -v**3 + 27*v**2 - 72*v + 1. Let c be i(24). What is the units digit of c - 5 - (-9240)/8? 1 What is the units digit of (-2*(-2)/(-6))/((-566)/32624523)? 7 Suppose -126*v - 45*v + 15203424 = 87*v. What is the ten thousands digit of v? 5 Let r(i) = -i**2 + 32*i - 68. Let d be r(10). Let l = d + -35. What is the units digit of l? 7 Let m = 78 - 38. Let i be 9/(-6)*(m/(-6))/2. Suppose h - i*b = -h + 346, 4*b = -8. What is the tens digit of h? 6 Let m = -61 - -113. Let d = -47 + m. Let c = d - 1. What is the units digit of c? 4 Let z(s) = -179*s + 1. Suppose -133 = -6*g - 175. What is the thousands digit of z(g)? 1 Let u be (2 - 0)/((-2)/(-4)). Suppose -i = 0, 4*i + 156 = -u*d + 1028. Suppose 0 = 7*v - d - 111. What is the tens digit of v? 4 Suppose 130198 + 79634 = 15*b + 27*b. What is the hundreds digit of b? 9 Suppose -594*j + 653*j - 1069670 = 0. What is the ten thousands digit of j? 1 Suppose -11*d - 39316 = -12*d - 4*b, -3*d - 3*b + 117903 = 0. What is the ten thousands digit of d? 3 Suppose 11*x - 35765 = -3*c + 9*x, -4*c + 2*x + 47682 = 0. What is the thousands digit of c? 1 Let m = 50069 - 33073. What is the tens digit of m? 9 Suppose 20*y - 6*y + 9484266 = 201*y. What is the thousands digit of y? 0 Suppose 3*j = 11*i - 7*i + 137, 2*i = -5*j - 101. Let s = 100 + -207. What is the tens digit of (-19)/i + s/(-2)? 5 Suppose -4*j + 798 = -11*j. What is the tens digit of ((-241)/(-4) - 1)/(j/(-1216))? 3 What is the units digit of (-6 - (-42)/9)/((-2)/24573)? 2 Suppose 0 = 2*q + 4*c - 7*c + 109, 5*q = 5*c - 260. Let i = q + 154. What is the hundreds digit of i? 1 Let o be -2 - (5 + -10) - 4/2. Let t be o + 14/(-7) - 1*125. What is the units digit of 2/(-9) + (-11998)/t? 5 Let m be 68/136*(1 - 1) + 62. Suppose 3*d + 108 = 4*r - 8, -119 = 3*d - r. Let v = m - d. What is the tens digit of v? 0 Let v(k) = 2. Let d(m) = -58*m**2 + 4*m - 5. Let w(g) = -d(g) + v(g). What is the units digit of w(2)? 1 Let h = 376 - 378. Let f(r) be the first derivative of -9*r**4/4 - 4*r**3/3 - r**2/2 + 3*r - 2. What is the units digit of f(h)? 1 Let l(n) be the first derivative of n**4/4 - 2*n**3 + n**2 - 47*n - 70. What is the units digit of l(8)? 7 Let o(h) = 4*h**2 + 75*h - 231. What is the tens digit of o(71)? 5 Let i(p) = -12*p - 23. Let o be i(-13). Suppose 3*v + 3*m - 4*m = -30, 5*m - 6 = -v. Let k = v + o. What is the units digit of k? 4 Let v = 67 - 68. What is the units digit of (v - -50) + 0 + (-3 - -3)? 9 What is the thousands digit of (98/35*206)/(20/50)? 1 What is the thousands digit of 93249/12 + 27/108? 7 Suppose -6 - 14 = -5*p. What is the tens digit of (5 + -5 + 507)/(6/p)? 3 Suppose 3*n - 16809 = -4*a - 340, -3*a = -4*n - 12358. What is the hundreds digit of a? 1 Let x = 173 - 171. Suppose -3*u = -15, 2*u + 2231 + 1693 = x*l. What is the tens digit of l? 6 Let h(d) be the second derivative of -4*d**3 + 85*d**2/2 - 7*d. What is the tens digit of h(-13)? 9 Suppose -2*m + 130 = 3*m. Suppose -27*g = -m*g. Suppose 3*o + 0*o + 2*z = 93, g = z. What is the units digit of o? 1 Let h(q) = -2*q**3 - 103*q**2 + 4*q + 226. What is the thousands digit of h(-52)? 2 Suppose 3*d = n - 4802, -39*d + 42*d = -5*n + 24082. What is the thousands digit of n? 4 Let n = 1 - -62. Let q(f) = n*f + 2*f - 5 - 2*f. What is the hundreds digit of q(3)? 1 Suppose 52*c - 50*c - 658 = 0. What is the hundreds digit of (c - (-4)/(-1)) + (3 - 4)? 3 Let v(f) = f + 13. Let k(l) = -8*l**2 + 305*l**3 - 8*l - l**2 - 306*l**3. Let r be k(-8). What is the tens digit of v(r)? 1 What is the units digit of (19 + 0)*(173 - 165)? 2 Let h be -16*(-4)/16 + (-3 - 1). Suppose -179*l + 183*l - 3044 = h. What is the units digit of l? 1 Let x(c) = -15*c - 19. Let t(o) = -2*o**3 - 4*o**2 - o + 8. Let n be t(2). What is the hundreds digit of x(n)? 3 Let v = 58290 - 22218. What is the units digit of v? 2 Suppose -57450 = -5*a - 3*w, 11344 = 5*a + w - 46096. What is the hundreds digit of a? 4 Suppose 0*a - 2*a = 2*s - 74, 2*s = 2. Let x = a - 26. Suppose -108 = 8*z - x*z. What is the units digit of z? 4 Let f(u) be the first derivative of -7*u**2 - 13*u + 237. Suppose 4*r + 12 = 3*k - 4*k, -2*k + 4*r = 0. What is the units digit of f(k)? 3 Suppose -4*b = -12*b + 40. Suppose -4*h + 3*z + 0*z - 19 = 0, -5*z + b = 0. What is the tens digit of ((12/(-9))/h)/(3/468)? 5 Let d = -26169 + 36894. What is the units digit of d? 5 Suppose 2*n = d + 210, -4*d - 3*n = -7*d - 618. Let s = -548 - -858. Let m = d + s. What is the tens digit of m? 0 Let z be -3 + 8/(-2) + -36941. What is the hundreds digit of -3*((-4)/10 - z/(-180))? 6 Suppose -583*v = -698*v + 4686940. What is the hundreds digit of v? 7 Let f = 79 - 159. Let u = 320 + -100. Let n = u + f. What is the tens digit of n? 4 Let r be -2 + 3/(0 + -3). Let w be 26*r/6 - (2 + -3). Let z = w + 17. What is the units digit of z? 5 Suppose 103*r - 633600 = 51*r + 32*r. What is the ten thousands digit of r? 3 Suppose -656368 + 94456 = -52*r. What is the ten thousands digit of r? 1 Suppose -512*k + 523*k = 44. Suppose -4*c + 2*s = -1386, k*c = -s + 1727 - 356. What is the units digit of c? 4 Let h(g) = -1458*g + 329. What is the units digit of h(-3)? 3 Suppose -a - 5*o = -12433, -20837 = -3*a - 5*o + 16422. What is the thousands digit of a? 2 Let f(y) be the third derivative of -y**5/60 - 7*y**4/24
{ "pile_set_name": "DM Mathematics" }
11*c**2 - 28*c + 86. Let y(o) = -6*q(o) - 25*s(o). Factor y(i). -5*(i - 4)**2 Let m(c) be the third derivative of -c**8/21 + 12*c**7/35 - 97*c**6/120 + 3*c**5/5 - c**4/6 + 2*c**2 - 21. Factor m(h). -h*(h - 2)**2*(4*h - 1)**2 Let d(s) be the third derivative of -s**7/735 - 3*s**6/280 + s**5/105 + 3*s**4/14 + 8*s**3/21 + 6*s**2 - 2. Let d(m) = 0. Calculate m. -4, -2, -1/2, 2 Suppose -2*b + t = -1 - 0, -5 = -5*b + 5*t. Suppose -14 = -7*f - b*f. Determine i, given that 2/5*i + 0*i**f - 2/5*i**3 + 0 = 0. -1, 0, 1 Let t(h) be the second derivative of -h**7/21 - 11*h**6/15 - 9*h**5/10 + 11*h**4/6 + 10*h**3/3 - 41*h - 2. Determine x so that t(x) = 0. -10, -1, 0, 1 Let u(h) = -7*h**4 + 3*h**3 - h**2 + 3*h - 4. Let l(m) = m**4 - m**3 + 1. Let f(k) = 6*l(k) + u(k). Factor f(q). -(q - 1)*(q + 1)**2*(q + 2) Let d(m) be the first derivative of m**5/150 - m**3/15 + 3*m**2 - 3. Let r(t) be the second derivative of d(t). Factor r(n). 2*(n - 1)*(n + 1)/5 Let z(n) be the third derivative of 5/336*n**8 + 0*n - 1/24*n**6 - 1/21*n**7 + 1/6*n**5 + 0*n**3 + 0*n**4 + 0 + 3*n**2. Factor z(w). 5*w**2*(w - 2)*(w - 1)*(w + 1) Suppose -101 = -18*j + 7. Let v(q) be the second derivative of 0*q**5 - 1/3*q**3 - 1/30*q**6 - j*q + 0 + 1/4*q**4 + 0*q**2. Determine l, given that v(l) = 0. -2, 0, 1 Let d(v) = -v**2 + 10*v + 5. Let r be d(10). Factor 5 - 39*o**2 - 18*o**3 - r - 8 - 4 - 36*o - 3*o**4. -3*(o + 1)**2*(o + 2)**2 Let j(n) be the second derivative of n**5/20 + n**4/4 + n**3/3 + 18*n + 1. Factor j(d). d*(d + 1)*(d + 2) Let p(i) be the first derivative of -1/10*i**2 + 0*i + 15 + 1/15*i**3. Factor p(n). n*(n - 1)/5 Let f(b) be the first derivative of -35*b**4/16 - 25*b**3/6 - 15*b**2/8 + 124. Factor f(s). -5*s*(s + 1)*(7*s + 3)/4 Suppose 45*x - 252 = -18*x. Find o such that 0*o**2 - 3/2*o**3 + 0 + 0*o + 3*o**x - 3/2*o**5 = 0. 0, 1 Let r(u) = -25*u**5 + 260*u**4 - 640*u**3 + 315*u**2 + 5. Let g(m) = -12*m**5 + 130*m**4 - 320*m**3 + 157*m**2 + 3. Let d(h) = -5*g(h) + 3*r(h). Factor d(z). -5*z**2*(z - 4)**2*(3*z - 2) Let r = 289 - 67. Factor -17*b**3 - r*b + 6*b**2 + 222*b + 5*b**4. b**2*(b - 3)*(5*b - 2) Let c(s) be the first derivative of -s**4/2 - 32*s**3/3 - 45*s**2 + 324*s + 72. Suppose c(z) = 0. What is z? -9, 2 Let v(f) be the first derivative of -10 + 0*f - 2/33*f**3 + 1/11*f**2. Factor v(h). -2*h*(h - 1)/11 Let c(b) be the third derivative of -b**8/1848 - b**7/165 + b**6/660 + 7*b**5/330 + 6*b**2 - 6. What is u in c(u) = 0? -7, -1, 0, 1 Let w = 1274 + -1271. Factor -15*o**2 - 57/4*o - 9/2 - 9/2*o**w + 3/4*o**5 + 3/2*o**4. 3*(o - 3)*(o + 1)**3*(o + 2)/4 Let w be 2/((-4)/(-24)*-2). Let g be ((-4)/w)/((-2)/(-6)). Suppose l + 0*l - 6*l**g - 2 + 2*l**3 + 5*l = 0. Calculate l. 1 Let j(s) be the third derivative of -s**8/1848 - s**7/231 + s**6/30 - 8*s**5/165 - 391*s**2. Suppose j(n) = 0. What is n? -8, 0, 1, 2 Let a(d) be the third derivative of 49/4*d**3 + 0*d + 0 + 1/40*d**5 - 20*d**2 - 7/8*d**4. Factor a(c). 3*(c - 7)**2/2 Factor 107*u + 14*u - 7010 + 165 + 29*u + 220*u - 5*u**2. -5*(u - 37)**2 Let p(m) be the first derivative of 7*m**5/30 + 25*m**4/12 + 37*m**3/6 + 25*m**2/3 + 16*m/3 + 862. Let p(w) = 0. Calculate w. -4, -8/7, -1 Let t(s) be the second derivative of -s**6/120 + s**5/20 - s**4/8 + 3*s**3 - 13*s. Let y(b) be the second derivative of t(b). Factor y(o). -3*(o - 1)**2 Suppose -166 + 199 = 11*z. Solve 88/3*l**2 - 46/3*l**z - 4/3 - 38/3*l = 0 for l. -2/23, 1 Let k be (6 - 6) + 2 + (8/30 - 2). Factor 0 - 2/3*t**2 + k*t + 2/5*t**3. 2*t*(t - 1)*(3*t - 2)/15 Let s be (14/77)/(80/22). Let g(v) be the second derivative of 1/36*v**4 + 0 + s*v**5 + 1/30*v**6 + 0*v**2 + 0*v**3 + 1/126*v**7 - 3*v. Factor g(p). p**2*(p + 1)**3/3 Let q = -30 + 33. Factor -1 - 2*m + m + m**2 + 5*m**q - 4*m**3. (m - 1)*(m + 1)**2 Let p(q) = -63*q + 14. Let t be p(2). Let h = 115 + t. What is i in -h*i + 3/2 + 3/2*i**2 = 0? 1 Let n be (-21)/(-9)*(-2)/(-7). Let h = 3965 - 3965. Determine k so that n*k + h - 2/3*k**2 = 0. 0, 1 Suppose 5*q - 20 = -0*q. Factor 2*t**4 - 5*t**3 + t**5 - 3*t**5 + q*t**3 + t**5. -t**3*(t - 1)**2 Let c be (1 + (-2)/8)/((-15)/240). Let x be (-7 - (-366)/60)*10/c. Factor 3/4*l**2 + x*l + 1/4 + 1/4*l**3. (l + 1)**3/4 Let j(f) be the third derivative of f**6/720 - 7*f**4/144 - f**3/6 + 3*f**2 + 6*f. Factor j(q). (q - 3)*(q + 1)*(q + 2)/6 Let s be 9/((-81)/(-15))*(-78)/(-325). Find m, given that 17/5*m + 2/5*m**2 - 17/5*m**3 - s = 0. -1, 2/17, 1 Let g(z) be the third derivative of 0*z**4 + 24*z**2 + 0*z**3 + 1/40*z**5 + 1/160*z**6 + 27/448*z**8 - 3/28*z**7 + 0*z + 0. Suppose g(u) = 0. Calculate u. -2/9, 0, 1/3, 1 Let p be 0 + 3/6*20. Let b = p + -8. Solve 17*z**b - 3*z + z - 20*z**2 = 0 for z. -2/3, 0 Let o = -13849/84 - -559/21. Let u = o + 139. Factor -1/4 - 3/4*q - 1/4*q**3 - u*q**2. -(q + 1)**3/4 Let w(s) be the third derivative of -s**6/90 + s**5/45 + 5*s**4/18 + 2*s**3/3 - 4*s**2 - 32. Factor w(h). -4*(h - 3)*(h + 1)**2/3 Let p(n) be the first derivative of -n**6/21 + 4*n**5/105 + n**4/6 + 4*n**3/63 + 172. Suppose p(t) = 0. What is t? -1, -1/3, 0, 2 Let a be (-14 + 0)/(17/119). Let d = a + 884/9. Let -2/9*p**3 + d*p + 4/9 - 4/9*p**2 = 0. What is p? -2, -1, 1 Let b(l) = l**3 - 15*l**2 - 32*l + 258. Let w be b(16). Determine o, given that 8/3*o**w + 0 + 0*o - 4*o**3 = 0. 0, 2/3 Suppose -98 = -14*o - 70. Let x(q) be the third derivative of 0 + 1/48*q**4 + 0*q - q**o + 0*q**3 + 1/240*q**5. Solve x(b) = 0. -2, 0 Let a(j) be the second derivative of j**4/3 - 140*j**3/3 + 2450*j**2 - 18*j + 4. Suppose a(i) = 0. Calculate i. 35 Factor -1822 - 1788 + 180*v**2 - 745*v + 5*v**3 + 973*v + 1197*v. 5*(v - 2)*(v + 19)**2 Let t(r) = r**3 - 4*r**2 - r. Let y be t(4). Let u be (-8 + 3)/(3 + y). What is j in 8*j**4 + 6*j**3 - 8*j - 15*j**2 - 3*j**u + 6*j**2 + 5*j**5 + j**2 = 0? -2, -1, 0, 1 Suppose -84*q = -5*s - 85*q + 12, -4*q = -2*s + 18. Suppose 6*v - 2*v - 5*n = 18, 0 = -3*v + 3*n + 12. Factor -1/2*x + 1/2*x**4 - 1/2*x**v + 0 + 1/2*x**s. x*(x - 1)*(x + 1)**2/2 Let n(x) be the first derivative of -3/7*x**3 - 6/7*x**2 + 34 + 0*x. Factor n(r). -3*r*(3*r + 4)/7 Let d(u) = -17*u + 167. Let v be d(23). Let q be (v/12)/7*3/(-4). Factor 0 + 4/9*t**3 - 2/9*t**q - 2/9*t. 2*t*(t - 1)*(2*t + 1)/9 What is j in -127 + 4*j**2 - 79 + 242 + 24*j = 0? -3 Factor 94*f + 14*f**2 + 2 - 2 - 25*f**2 + 10*f**2. -f*(f - 94) Suppose 4*j + 13*j**3 + 40/3*j**2 + 5*j**4 + 2/3*j**5 + 0 = 0. What is j? -3, -2, -1/2, 0 Let o be ((-4)/(-40))/((0 - -3)/504). Let d(s) = s**3 - 5*s**2 + 5*s - 23. Let w be d(5). Factor -o*u**w + 3/5*u + 6/5. -3*(4*u + 1)*(7*u - 2)/5 Let u(c) be the first derivative of c**3/2 + 105*c**2/4 + 51*c + 10. Factor u(v). 3*(v + 1)*(v + 34)/2 Let s be (((-7)/2)/7)/(-3 + 2). Factor -1/2*i + 1/2*i**3 + 1/2*i**2 - s. (i - 1)*(i + 1)**2/2 Let o = 1086 - 1086. Let g(q) be the third derivative of 1/240*q**5 + 0*q + 12*q**2 + o*q**4 + 0 - 1/24*q**3. Factor g(r). (r - 1)*(r + 1)/4 Let f = 4554 + -22764/5. Suppose -f + 17/5*z**3 - 31/5*z**2 + 23/5*z - 3/5*z**4 = 0. Calculate z. 2/3, 1, 3 Let u(c) be the second derivative of -1/200*c**6 + 0*c**2 + 1/6*c**3 + 1/50*c**5 + 0 - 2*c + 1/10*c**4. Let m(s) be the second derivative of u(s). Factor m(n). -3*(n - 2)*(3*n + 2)/5 Let i(u) be the third derivative of u**5/75 + 23*u**4/30 - 5*u**2 + 5. Find y such that i(y) = 0. -23, 0 Let z be -9*(24/(-27))/4. Let t be 1/z + (-1511)/(-2). Factor -1274*p**3 + 146*p**4 - 188*p - t*p**2 + 4*p - 832*p**4 - 16. -2*(p + 1)*(7*p + 2)**3 Let s(f) = f**3 - f. Let m be (-18)/(-4) + 3/(-6). Let r(l) = -2*l**3 + 2*l. Suppose 5*n - 3*n - 14 = 0. Let x(v) = m*r(v) + n*s(v). Factor x(b). -b*(b - 1)*(b + 1) Let d(w) be the third derivative of 0*w + 3/20*w**6 + 0*w**3 - 7*w**2 - 1/70*w**7 - 9/20*w**5 + 0*w**4 + 0. Find v, given that d(v) = 0. 0, 3 Let p = -58 + 106. Let x be 4/((-16)/12) + 5. Solve -32*d**2 - 2*d**2 - 64*d**x + p*d + 8*d - 8 = 0. 2/7 Let p(a) = -14*a - 126. Let h(x) = 9*x + 84. Let o(n) = 8*h(n) + 5*p(n). Let t be o(-20). Solve 8/3*m**3 + 4*m**2 + t*m**5 - 16/3*m**4 + 4/3 - 14/3*m = 0 for m. -1, 2/3, 1 Let a(u) = u**3 + 2*u**2 - 2*u - 3. Let v be a(-1). Let t(n) be the first derivative of -4 + 1/2*n**4 + v*n**2 + 0*n + 2/5*n**5 + 0*n**3. Factor t(g). 2*g**3*(g + 1) Let w(p) = -3*p**3 - p - 4. Suppose 3*x - 10 =
{ "pile_set_name": "DM Mathematics" }
d(q) = 7*k(q) + 2*t(q). Determine d(5). 9 Let k = 126 - 110. Suppose -4 + k = 2*z. Let o(u) = -1 + 8*u - u**2 + 0*u - z*u. What is o(1)? 0 Let i(t) = 4*t**2 + 14*t + 31. Let z(v) = -2*v**2 - 7*v - 15. Let s(n) = -6*i(n) - 13*z(n). Calculate s(-5). 24 Let f(i) = -i**2 - 3*i - 1. Let x = 23 - 47. Let v(r) = 5*r + 116. Let d be v(x). Calculate f(d). -5 Let i = 114 + -111. Let t(b) = -b**2 + 7*b - 1. Let u(v) = 2*v**2 - 13*v + 2. Let j(w) = i*u(w) + 5*t(w). Determine j(4). 1 Suppose -2*t + t = -14. Suppose -17*d + 12 = -t*d. Let h(f) = -1 + 9*f - d*f - 3*f + 7*f**3. Calculate h(1). 8 Let p(q) = q**3 + 5*q**2 + 6*q - 1. Suppose -8 = -71*d + 69*d. Suppose -3*m = 2*r - 4*m + 8, -d*m = 8. What is p(r)? -31 Let u = 14808 + -14813. Let j(d) = -7*d - 28. What is j(u)? 7 Let p(h) = -2*h - 4. Let d be p(4). Let x(t) = 2*t**3 + 13*t**2 - 24*t - 107. Let o(n) = n**3 + 6*n**2 - 12*n - 59. Let r(j) = -9*o(j) + 5*x(j). Determine r(d). -4 Let t(y) = -2*y + 1. Let c(g) = -7*g + 55. Let j be c(15). Let b = 50 + j. Suppose b = 4*l - u + 13, -l + 2*u - 4 = u. What is t(l)? 7 Let r be 1/(-5) - 228/10. Let o(s) = -28 + 86*s + 20*s**3 - 8*s**3 - 23*s**2 - 87*s - 13*s**3. Determine o(r). -5 Let i(n) = 3*n - 2*n - 2*n - n**2 - 5. Suppose 0 = -4*s + 6 + 6. Suppose -10*q - s*q = 0. Give i(q). -5 Let a = -9 + 15. Let k = -1 + a. Let q(v) = -v - 1. Let s(d) = d**2 - 5*d - 5. Let z(t) = q(t) - s(t). Give z(k). -1 Let u(k) = -k**2 - k. Let g(y) = -3*y**2 - 13*y + 5. Let c(i) = g(i) - 4*u(i). Suppose -n = 6*b - 10*b + 38, 5*b = -5*n + 35. What is c(b)? 5 Let a(l) = -l**3 + 9*l**2 + 28*l - 59. Let b be a(11). Let o(d) = -d**2 - 9*d + 26. Give o(b). -86 Let w(y) be the third derivative of -y**4/12 + 2*y**3 - 125220*y**2. Let r be -1 + (0 + 2 - 1). Calculate w(r). 12 Let f(w) = w**2 - 27 - 3*w + 59 - 31. Determine f(-6). 55 Let u(l) = -2*l**2 - 15*l. Let k be (23/161*98)/(2*-1). Give u(k). 7 Let l(o) = -3*o + 4. Let p(x) = -x**2 - 11*x - 70. Let d(f) = 2*l(f) + p(f). What is d(-5)? -2 Let f(u) = 15*u - 17. Let h be f(9). Suppose -4*b - h + 94 = 0. Let r(x) = x**2 + 3*x - 8. What is r(b)? 10 Let r(q) = -52 + 105 + 10*q - 57. Let w be r(0). Let u(d) = d**3 + d**2 - 4*d - 3. Give u(w). -35 Suppose 113*j + 680 = 133*j. Let k be j/8 - 6/(-8). Let r(f) = 2*f - 12. Give r(k). -2 Let n = -503 + 505. Let l(b) = -2 - 4 + 7*b + 7*b**2 + 2*b**2 - 10*b**n. Determine l(4). 6 Let i(v) = v**2 - 8*v + 10. Suppose -297*s + 1592 = -98*s. What is i(s)? 10 Let b(j) be the second derivative of -13*j**6/720 + j**5/24 + 7*j**4/6 + j**2 + 5*j + 28. Let t(g) be the third derivative of b(g). What is t(2)? -21 Let x(d) = 83 + 26*d + 7*d - 51232*d**2 + 51233*d**2 - d. Determine x(-28). -29 Let v(i) = 0*i**2 + 3 + 14 - 22*i**3 - 10*i**2 - 14*i + 23*i**3. Let b be v(11). Let m be 1 + 2/4 + 8/b. Let n(u) = -14*u - 1. What is n(m)? -15 Let l(r) = 2*r**2 - r. Suppose -11*x + 887 = -994. Let n = x + -172. Calculate l(n). 3 Let c(b) be the first derivative of 7*b**2 + 3*b - 2/3*b**3 - 17. Let m be c(7). Let d(p) = p - 3. What is d(m)? 0 Let n(g) = -g**2 + 7*g - 7. Let i(y) = -11*y - 45. Let a be i(-8). Let k = a + -33. Suppose -13*j + k = -11*j. Determine n(j). 3 Let y be (-40)/(12/3)*262/(-655). Let f(w) = 40*w - 152. What is f(y)? 8 Let x(c) = 32*c + 27 - 38 - 52 + 2 - 61. Give x(4). 6 Let b(z) be the third derivative of z**6/120 - z**5/2 - 5*z**4/4 - 16*z**3/3 + 2225*z**2. Calculate b(31). -1 Let k(y) = -y**3 + 2*y**2 - 2*y - 44. Suppose 0 = -5*g - 3*u + 18, 0 = -16*g + 12*g + 4*u - 24. Calculate k(g). -44 Let i(u) = -8526*u + 16*u**3 + 8527*u + 3*u**2 + 1 - 3 + 0. What is i(-1)? -16 Let r = 964/5 - 1923/10. Let g(t) be the second derivative of 0 - 1/3*t**3 - 25*t + r*t**2 + t**4. Give g(1). 11 Let a(d) = -2*d**2 - 1 + 2*d - 5*d**3 - 4*d**3 + 5*d**3. Suppose -8806*l + 12 = -8794*l. What is a(l)? -5 Let w(b) = b + 7. Let i = 254 - 67. Suppose -i*h + 54 = -193*h. What is w(h)? -2 Let v(m) = 6*m**2 - 2*m + 28. Let l be v(4). Let n(y) = -2*y**3 - l + 229 - y - 114 - y**2. What is n(-1)? 1 Let p(m) = -125 + 54 + 19*m - m**2 + 55 - 7*m. What is p(7)? 19 Let y(s) = -108*s - 4085. Let g be y(-38). Let v(u) = -6*u + 59. Calculate v(g). -55 Let b(y) = -2*y**3 - 2*y**2 - y + 2. Let g = -11295 - -11296. Calculate b(g). -3 Let w(c) = -9*c + 3. Let z(r) = 5*r - 1. Let d = -25 + 18. Let y(t) = d*z(t) - 4*w(t). Determine y(6). 1 Let g(z) be the second derivative of z + 1/6*z**3 - 27 + z**2 - 1/6*z**4. What is g(-1)? -1 Let j(l) = 83*l**2 - 19*l + 2. Let y(s) = s**2 + 3*s. Let b(r) = -j(r) - 6*y(r). What is b(1)? -90 Let u = 21039 + -21038. Let i(f) = -7*f**2 - 15*f + 15. Calculate i(u). -7 Let j(t) be the first derivative of -5*t**3/6 - 9*t**2/2 - 344*t - 212. Let w(r) be the first derivative of j(r). Let o = -12 + 6. What is w(o)? 21 Let t(m) be the second derivative of -m**3 + 7*m**2 + 76*m. Let u = -285 - -288. What is t(u)? -4 Let s(t) = -2*t**2 + 28*t - 31. Let w = -21644 - -21657. What is s(w)? -5 Suppose -29*h + 36*h - 91 = 0. Let t(s) = h*s - 34*s + 22*s. Let o(d) = d**3 + d**2 - d - 5. Let r be o(0). What is t(r)? -5 Suppose -3*u + l + 13 = 0, 4*l = -4*u - 0*u - 4. Let z(q) = -9*q**3 + 30*q**u + 15 - 22*q**3. Determine z(0). 15 Let j(k) = -k**2 - 4*k + 14*k + 0*k - 11. Suppose -132*m + 808 = -512. Determine j(m). -11 Let x(s) = s**3 + 3*s**2 - 5*s - 2. Let n(t) = t + 13. Suppose -18*f + 30 = -21*f. Let h be n(f). Let k be (-30)/(h - -2)*2/3. What is x(k)? 2 Let n(q) = -q**3 - 9*q**2 - 5*q + 6. Let o = -14145 - -14137. Calculate n(o). -18 Let h be (148/185)/((-5)/50). Let u(n) = 10*n + 80. Determine u(h). 0 Let x(l) = 40*l - 5 - 14*l - 16*l - 15*l. Calculate x(1). -10 Let f(s) = 15*s + 104. Suppose 28 + 75 - 49 = -9*j. Calculate f(j). 14 Suppose -5 = -6*q - 5. Suppose q = -2*c - 3*c + 15. Let g(y) = -y**2 + 5. Let k be g(c). Let v(d) = d**2 + 5*d - 3. Calculate v(k). -7 Let d(y) = 15 + 20 + 6 + 23*y. Let l(x) = -8*x - 14. Let p = -17 - -23. Let f(n) = p*d(n) + 17*l(n). Determine f(-6). -4 Let p(a) = 3*a - 20. Let m(z) = z - 1. Let b(y) = -4*m(y) + p(y). Let f be ((-40)/(-25))/((-4 - 0)/20). Let j be b(f). Let t(s) = -s - 10. Calculate t(j). -2 Let c(o) = 23*o - 17. Let q be c(1). Let l(s) = s**3 - 6*s**2 - 8*s + 15. Calculate l(q). -33 Let o(m) = m**3 + 9*m**2 - 10*m + 8. Suppose 2*t + 8 = 222. Let i = 115 - t. Let v(a) = a**2 - 9*a - 2. Let u be v(i). Calculate o(u). 8 Suppose 0 = -o + 4*d + 19, -4*d + 3*d - 10 = 5*o. Let i(z) = 16 + 30*z**2 - 17 + 2*z + 4 - 4 - 4*z. Calculate i(o). 31 Let h = -8 - -10. Let u = -1 + h. Let j(t) be the third derivative of -t**6/30 + t**5/30 - t**4/12 + t**3/6 + 242*t**2. Calculate j(u). -3 Let y(c) = -5*c + 69. Let s be (75/(-10))/(21/(-6) - -3). Let f be y(s). Let a(d) = -8 - d**2 + 0 - 7*d + 0 + 1. Calculate a(f). -1 Suppose -5*d - 61 = -3*m, -4*d = 3*m - 16 + 54. Let j(r) = 6 + 0 - 3 + r. Give j(d). -8 Let n(z) = 21*z - 349. Let y(t) = 7*t - 108. Let j(r) = 6*n(r) - 19*y(r). Determine j(17). -161 Let y(q) = 22*q + 10. Let i(t) = -9*t + 0 + 5 - 9. Let d(c) = -15*i(c) - 6*y(c). Give d(-4). -12 Let v = 18836 + -18833. Let k(o) be the second derivative of 3*o**2 + 2/3*o**v + 28*o + 0. Give k(-6). -18 Let f(v) be the first derivative of v**4/4 + 25*v**3/3 + 25*v**2/2 + 7*v + 1566. Calculate f(-24). -17 Let h(s) = 12*s - 18. Let r(w) = 1276*w - 6389. Let u be r(5). What is h(u)? -126 Let s(p) = 11*p**3 - p**2 - 17*p - 8. Let a be 6/(-3) + 5 + 10. Let d(r) = 5*r**3 - r**2 - 8*r - 3. Let q(h) = a*d(h) - 6*s(h). Determine q(-7). 23 Let y(r) = r**2 - 4*r - 57. Let k be y(11). Let p be (14 - -1) + 1/1. Suppose p = 2*d - 4*n, k = 4*d + 3*n + n. Let j(g) = g**2 - 6*g - 2. Calculate j(d). -2 Let t(u) = -8*u - 4. Let j(y) = -2322*y + 4649. Let r be j(2). Determine t(r). -44 Suppose -x = -3*x + 12. Let k(h) be the third derivative of h**5/60 - 3*h**4/8 + h**3 - 22549*h**2. Calculate k(x). -12 Suppose 0 = 80*d + 832 - 672. Let z(u) = 14*u**3 - u**2 - 6*u + 1. What is z(d)? -103 Let s = -11 - -7. Let t(r) = 5*r + 13. Let a(k) = 31*k + 76. Let z(n) = 6*a(n) - 34*t(n). Let m(x) = 9*x + 8. Let q(i) = -7*m(i) + 4*z(i). Give q(s). -4 Let k(h) = 17*h - 11*h - 2 - 108 + 2. Give k(19). 6 Suppose -71 + 142 = -34*q + 139. Let b(g) = -16*g**3 + 2*g**2 - 1. Calculate b(q). -121 Let b be (3*77/22)/(1 + 2/4). L
{ "pile_set_name": "DM Mathematics" }
96. Calculate the common denominator of f and (2/(-8))/(6/268). 6 Let y = 4 - 2. What is the lowest common multiple of 2/(0 + (3 - y)) and 6? 6 What is the common denominator of -65/9 and -4 + (-2088)/(-585) + 1? 585 Suppose 11*q = 2*q + 81. Let d(i) = -i**2 + 11*i - 2. What is the smallest common multiple of 4 and d(q)? 16 Let u = -6876 - -14253/2. Let q = -276 + u. Calculate the common denominator of 2/3 + (-753)/(-72) and q. 8 Let v = -16113 - -386575/24. Calculate the common denominator of v and -131/12. 24 What is the smallest common multiple of 12 and 72/27*(0 - -7*3)? 168 Let k = 6 - 3. Suppose -2*t = -k*t + 36. Calculate the smallest common multiple of 18 and t. 36 Suppose r - 2 = 7. Let n be r/(-6) - 37/(-2). Suppose -s + 3 = -n. Calculate the smallest common multiple of s and 22. 220 Suppose 19 - 7 = 3*v, -2*v = -r + 45. What is the least common multiple of r and 6? 318 Let o be (-2)/(-3) + (-445)/420. Let x = o - -43/112. Find the common denominator of -109/18 and x. 1008 Let x be 96/(((-8)/(-12))/(-2)). What is the common denominator of (-88)/x*(34 + -1) and (58 + -4)/(40/6)? 60 Suppose 0 = 153*u - 156*u + 42. What is the least common multiple of 16 and u? 112 Suppose -5 + 27 = -b. Calculate the common denominator of -3*((-135)/66 + 2) and 55/b*34/12. 132 Suppose -4*u - 102 = -p, -3*p + p - 21 = u. Let h be (-10)/u + 72/(-5). Let m = -5 - h. Calculate the lowest common multiple of 4 and m. 36 Let b(y) = -y**3 + 3*y**2 + 5*y - 2. Suppose 2*w - 4 = w. Suppose 4*k - 37 = 3*s, 0*k - 33 = -3*k - 3*s. What is the lowest common multiple of k and b(w)? 10 What is the common denominator of 2466/224 - (59 - 48) and -139/140? 560 What is the common denominator of -29/10 and 0 + (245/18)/7? 90 Let x be 15/25 - ((-13392)/33430 - -1). Let r = x - -357681/33430. What is the common denominator of r and 2 - (0 + 76/18)? 90 Let m be 2212 + 2 + (-6 + 4)/(-2). Let p = -73171/33 + m. Find the common denominator of p and 107/30. 330 Let b = 22189/350 - 915/14. Calculate the common denominator of b and -54/25. 25 Let k = 9/6908 + 77978/129525. Find the common denominator of -17/40 and k. 600 Suppose 3421*t - 232 = 3419*t. Calculate the lowest common multiple of 174 and t. 348 Let h = 41 - 37. Suppose 5*u = 5 + 5. Let l = 9 + u. What is the least common multiple of h and l? 44 Let k be (-48)/10*25/(-10). Find the common denominator of 3*(14/k - -3) and 53/7. 14 Suppose -105 = -5*g - 3*o, 5 = -4*o + 5*o. What is the lowest common multiple of 21 and g? 126 Suppose -14 = y - 2*b - 32, b + 3 = 0. Calculate the lowest common multiple of 2 and y. 12 Let o(x) = x**3 - x**2 - 9*x + 4. Let g = -9 - -14. What is the smallest common multiple of o(g) and 5? 295 Let a = -149839/11584 - -819/64. Find the common denominator of a and -47/9. 1629 Let t = -390737/100 + 3907. Calculate the common denominator of t and 39/10. 100 Suppose -11*p + 13*p + i - 8 = 0, -4*i + 16 = 0. Suppose 3*h = -7 + 1, r = 2*h + 5. What is the least common multiple of (2 + -1)/(r/1) and p? 2 Let b = 4 - 2. Suppose 0 = b*w + 2*w - 100. Suppose -w - 7 = -4*y. Calculate the lowest common multiple of 2 and y. 8 Suppose 194 - 164 = t. What is the least common multiple of t and 54? 270 Suppose 0 = -17*u + 16*u - 16. Calculate the common denominator of -36/11 and u/56 - (-16)/(-14). 77 Let v = -124 + 127. Calculate the common denominator of (0 - v/(-24)) + -3 and 4/(-10) - (-171)/(-10). 8 Suppose 67 = 5*h - 128. Let o = 63 - h. Calculate the lowest common multiple of 27 and o. 216 Suppose -10*d - 2*c - 26 = -8*d, -4 = c. Let q(b) = -b + 3. Calculate the lowest common multiple of 30 and q(d). 60 Let o(h) = -h**3 - 5*h**2 - 3*h + 5. Let d be o(-4). Let p be (-3 - -2) + d + -2. Find the common denominator of ((-476)/(-240) + p)*-58 and -19/16. 240 Let n(y) = 2*y + 8. Suppose 2*c - 2*f - 10 = 0, 4*c + 17 = 7*c - 5*f. What is the smallest common multiple of n(c) and 4? 16 Let f = 245 + -235. Let b = 0 - 0. Let n = b + 6. Calculate the lowest common multiple of n and f. 30 Suppose 127 = 185*s - 184*s. Let h = s - 125. Suppose 4 + 4 = -4*v + 4*q, 2*v - q = -1. Calculate the lowest common multiple of h and v. 2 Suppose -3*b + 7 = -3*q - 29, -40 = -4*b + 2*q. Calculate the common denominator of (22/b)/((-63)/14) and -89/14. 126 Calculate the common denominator of 3/((-528)/124) - 1 and 1525/210*(-2)/((-40)/(-6)). 308 Let l(i) be the third derivative of -i**5/12 + i**4/12 - i**3/3 - 5*i**2. Let s be l(2). Find the common denominator of 11*((-33)/s - 2) and -55/8. 24 Let i be (-5)/(-5) - 1102/(-3). Let y = 351 - i. What is the common denominator of y and -29/9? 9 Suppose -2*q = -2*n + 34, 2*n + 29 = 3*n + 3*q. Find the common denominator of n and (-22)/(-14) + 0 + 4/(-1). 7 Let c = 1/227 + 11112/2497. Let p be (-5)/(-1*(-2 + 1)). Find the common denominator of (16/p)/((-6)/(-9)) and c. 55 Suppose 0 = 3*i + 3*x + 266 + 388, i = -5*x - 210. What is the common denominator of 11/10 and 2/(-8)*i/60? 60 Let p(o) = 20*o**2 + 8*o + 9. What is the smallest common multiple of 3 and p(-1)? 21 Let n = -2005/33483 + -43136213/5547017. Let q = 26/213 + n. Let b = -304/119 + -78/17. Calculate the common denominator of b and q. 7 Let i = 1507 - 10586/7. What is the common denominator of i and (-2)/16*-21 + -1? 56 Let p(f) = f**3 + 10*f**2 + 10*f + 9. Calculate the lowest common multiple of 6 and p(-8). 114 Let y = 6319/1440 - 229/90. What is the common denominator of y and -53/28? 224 Let w = -1/12078 + -1244027/84546. Let b = w - -349/28. What is the common denominator of b and 63/(-4)*(-3)/6? 8 Suppose 2*b - 3*b + 17 = -3*c, 0 = 4*b - 2*c - 48. Calculate the least common multiple of (-57)/(-6) - ((-462)/(-28) + -14) and b. 77 Let p(h) = -h**2 - 15. Let f be p(0). Let c(w) = w - 35. Let r(g) = 18. Let o(q) = -2*c(q) - 5*r(q). Calculate the smallest common multiple of o(f) and 22. 110 Suppose -224 = 3*t - 53. Let b(q) = q**2 + q - 104. Let d be b(0). Let z = d - t. Calculate the common denominator of z and -63/2. 2 Let n be (2 - 3)/((-2)/74). Let q = n + -26. What is the smallest common multiple of 14 and q? 154 Suppose -3*k + 12 = 3*a, 0*a - 2*a - 2 = -3*k. Let s(v) = 4 + 1 - v**2 + 9 + 3*v - 7 - 5. What is the smallest common multiple of s(a) and 1? 4 Let r = 38/471 + 22223/2826. Calculate the common denominator of r and -125/12. 36 Let h = 55741/8 + -6978. Let d = -144/1607 - -295798/252299. Let f = -17243/1570 + d. Calculate the common denominator of f and h. 40 Let z be 2*-4*(-3)/24. Let s be (1 - 1 - z)*-5. Suppose 8 = -s*u + 9*u. What is the smallest common multiple of 2 and u? 2 Suppose -u = 4*u - 15. Suppose -u*r - 54 = -6*r. What is the lowest common multiple of r and ((-1)/(-2) - 0)*44? 198 Let b = 1653073309/42630 - 5703413/147. Let r = b + -2/1015. Calculate the common denominator of r and -13/9. 18 Suppose 3*h - 6 = 0, -17*q + 2 = -16*q - h. Let d = 248 + -168. What is the lowest common multiple of d and q? 80 Let g = 28061 + -645238/23. Let n = 1470/253 - g. What is the common denominator of 1*-1 - (-47)/(-3) and n? 33 What is the least common multiple of -5*6/10 + 73 and 2? 70 Let l(u) = -u**3 - 2*u**2 - u. Let y be l(-2). Suppose 5*a + 0*s = -4*s + 30, 0 = -4*a - 5*s + 15. Calculate the smallest common multiple of a and 26/2 + 1 + y. 80 Let s(w) = -w**3 - 9*w**2 - w - 15. Let a be s(-9). What is the common denominator of -41/4 and (-2)/a + 858/180? 20 Let o = 1128 - 1008. What is the lowest common multiple of o and 45? 360 Suppose -8*o = -5*o. Let f be o*2/(-8)*-1. Suppose -2*g - 1 + 21 = f. Calculate the lowest common multiple of g and 16. 80 Let c = -58433833/91196 - 1/22799. Let p = c - -5169/8. Find the common denominator of 81/22 and p. 88 Let y = -1092/71 - -35833/2556. Calculate the common denominator of y and -4 + 4 - 13/(52/15). 36 Suppose 0 = -i - 2*i + 726. Find the common denominator of i/16*(-8)/20 and (1/2)/(42/(-162)). 140 Suppose 0 = -0*z - 3*z + 12. Let t(u) = -u**2 + 13*u - 12. Let s(w) = w + 1. Let l(f) = 5*s(f) - t(f). What is the lowest common multiple of z and l(7)? 20 Let p(l) be the first derivative of -l**2 + 45*l + 19. What is the smallest common multiple of 7 and p(20)? 35 Let r = 158 - 150. Suppose 152 = -r*f - 104. Calculate the common denominator of ((-27)/(-5))/((-8)/5) and f.
{ "pile_set_name": "DM Mathematics" }
519 What is -5 take away -61924.4? 61919.4 Subtract -1 from 506. 507 What is -0.18227037 + -0.2? -0.38227037 Calculate -5 - 580. -585 Subtract 84.645 from 0.39. -84.255 What is -3.5 plus -0.17? -3.67 Add 1780 and 1. 1781 What is the distance between -2301.4 and 0.5? 2301.9 What is -1 take away 11704? -11705 0.5058+4 4.5058 What is -0.4 take away -261099? 261098.6 Total of -1026 and -0.048. -1026.048 -40.05 + 5 -35.05 1170 - 479 691 Total of 505444 and 0.4. 505444.4 What is the distance between -59 and -292.1? 233.1 Sum -3 and 181. 178 Calculate -0.0569798 + -2. -2.0569798 What is -4.8122 minus -4.2? -0.6122 What is the difference between -18.4 and 62? 80.4 Work out -710132 - -3. -710129 What is -59661 + -0.4? -59661.4 Work out 0.99 + 27. 27.99 Work out 8.75 + 0.0318. 8.7818 Calculate -350 - -2.2. -347.8 Calculate -5163 - 166. -5329 Work out 0.17 - -106.2. 106.37 Work out 0.27 - -13529. 13529.27 What is 0.0242 - 1.562? -1.5378 Put together 65 and -5966. -5901 Work out -2085 + 40.54. -2044.46 What is the distance between 9813 and 4.45? 9808.55 What is -186.59 - -0.4? -186.19 Calculate 0.1 - -1976. 1976.1 What is -0.189 plus 1.2? 1.011 Calculate 2784754 + -0.3. 2784753.7 What is 1398 less than -0.1? -1398.1 What is 4354 minus -0.6? 4354.6 What is -810.14 take away -15? -795.14 -0.1 - 2949894 -2949894.1 What is 0.36 - 4555? -4554.64 Calculate 0.0365 - 0.35. -0.3135 Calculate 0.2 + -0.148497. 0.051503 Calculate 1.43 - -0.1. 1.53 What is -2 + -28198? -28200 What is the difference between 0.0149 and -3? 3.0149 What is 3.3 + 0.287? 3.587 -456.8 - -43 -413.8 4 - -2.7051 6.7051 What is -28 less than 0.12884? 28.12884 -0.2 - 1028 -1028.2 What is the distance between -25 and -0.43? 24.57 What is the difference between 2753 and 2? 2751 Sum 6 and 5769. 5775 Calculate -0.012706 - -204. 203.987294 What is -2 - -1038? 1036 What is -0.4 less than -0.33386? 0.06614 What is 2 take away 56604? -56602 Add 6 and -1.4. 4.6 What is the distance between 0.04 and 0.5241? 0.4841 Sum -0.9 and 42. 41.1 What is 1263 less than 1? -1262 Calculate -341430 - 4. -341434 What is 1.2 less than 0.029? -1.171 Work out -0.98547 - 4. -4.98547 What is -0.739 take away -0.3? -0.439 What is the distance between -5 and -213? 208 What is -2.902 + -2? -4.902 What is -0.4 take away 104.133? -104.533 What is -186 - -0.14004? -185.85996 Work out 37.9 - -9. 46.9 What is -1816 minus 1? -1817 Total of -535.9 and -0.59. -536.49 What is -1791 + -0.6? -1791.6 What is -4 - -62945? 62941 Subtract 5016.6 from -0.5. -5017.1 Add 5 and 488.6. 493.6 What is 108618 less than 1.15? -108616.85 What is -0.007505 + 0.2? 0.192495 Add 0.0127917 and 5. 5.0127917 Subtract -5 from -0.5363. 4.4637 What is the distance between 2172 and 1? 2171 What is -8766 - -0.1? -8765.9 What is the distance between -28526 and 0.14? 28526.14 Work out 0.19 - -411. 411.19 Calculate -0.108 - 244. -244.108 What is 0.3 take away 12? -11.7 -3+5855 5852 What is -3.28 take away 0.02? -3.3 What is 2 take away 0.614? 1.386 What is the difference between -0.0066 and -0.46? 0.4534 Work out 0.899 - -5. 5.899 What is 3083 plus 0.4? 3083.4 What is 3.36405 minus -44? 47.36405 Calculate -0.3 + -99. -99.3 What is -0.0536 less than 2862? 2862.0536 Calculate 23 + 50032. 50055 Work out 440 - -0.016. 440.016 What is -0.4 - -51267? 51266.6 Add together -9 and 55.4. 46.4 Work out 55 - -593. 648 What is 5 plus -46.3? -41.3 1141 - 0.7 1140.3 Work out -0.2 - 36. -36.2 What is the difference between 0.09 and 91260? 91259.91 What is -133 take away 29? -162 What is 0.006 minus -12136? 12136.006 Sum 19031 and 3. 19034 Add together 0.2 and 7.4. 7.6 117 - 3 114 Sum 0.38 and 1.8204. 2.2004 What is the distance between -8.143 and 0.7? 8.843 Work out -0.427 - 0.3. -0.727 What is the difference between 1.129 and -16? 17.129 What is the distance between 4.47 and 807? 802.53 Work out 0.382 + 0.21. 0.592 What is 262.2 + -0.1? 262.1 Total of -0.03497 and -0.4. -0.43497 Calculate 0.41 - 3288. -3287.59 What is 1.4098 less than -25? -26.4098 What is -13135.15 - -0.5? -13134.65 Add together 1.53982 and -0.5. 1.03982 What is 36 plus 30647? 30683 Work out -37667 - 3. -37670 Work out 0.23 + 0.062. 0.292 What is 0.165 + 0.052? 0.217 What is the distance between 1 and 1918? 1917 -2 - 344620 -344622 What is 52.702 minus 0.01? 52.692 What is 30 - -237? 267 Work out 933 - -2. 935 What is 0.04 take away 5.2521? -5.2121 What is -51513.6 - -0.5? -51513.1 Add 29670 and -4. 29666 What is the distance between 0.2 and 8062? 8061.8 13269 + 0.48 13269.48 Add -0.5 and 77.5. 77 -16.665 + -0.3 -16.965 Calculate -868486 - -0.5. -868485.5 Subtract 3 from -999. -1002 Put together -1.80272 and 0.6. -1.20272 Put together -16880 and 0.6. -16879.4 Calculate -0.208 - -81. 80.792 23936+-3 23933 Calculate -0.043 - -3630. 3629.957 50676+-0.1 50675.9 Calculate -2 + 30175. 30173 What is -1 plus 0.966? -0.034 Put together -2264275 and 0.1. -2264274.9 Put together 8 and -182. -174 Put together 1.3 and -0.26326. 1.03674 -14.5 - 21 -35.5 Work out -8354 - -0.17. -8353.83 Work out -19556 + 1. -19555 What is 12.2 less than 0.3? -11.9 Add together 2.29 and -1. 1.29 Sum -3.6 and 193. 189.4 Subtract 198.7 from 56. -142.7 Work out -17 + -14.257. -31.257 Work out -2 + 0.7383. -1.2617 What is the difference between -263 and 0.5? 263.5 Work out 0.023 - -0.055. 0.078 What is -716 plus -0.039? -716.039 Work out 1733 - -0.05. 1733.05 What is 7.9 less than -0.02441? -7.92441 What is the distance between 2 and 14207578? 14207576 Total of 1997 and -187. 1810 Work out -36004 + -0.09. -36004.09 What is 9521 take away -0.02? 9521.02 Work out -0.5271 + 0.1. -0.4271 Put together -263077 and -4. -263081 What is 0.1 + 140? 140.1 Put together -42 and -4655. -4697 -4+-59813 -59817 What is -4399 minus -3? -4396 Total of -103 and 221. 118 What is the difference between 11 and 1364.6? 1353.6 Calculate 0.0732 - 3. -2.9268 -2447 + 38 -2409 352.5+0.5 353 What is 976 minus -704? 1680 Total of 108.3 and 114. 222.3 Sum 11.8 and 122. 133.8 What is -0.48 take away -59.56? 59.08 Add together 169.32 and -0.3. 169.02 What is -13.2 take away 0.02? -13.22 Add together -4 and -15.6982. -19.6982 Total of -0.271 and 0.8. 0.529 What is the difference between -7.31 and -9? 1.69 What is the difference between 20.6 and 0.3? 20.3 Work out 3358 + 66. 3424 Work out -0.1 - 0.2136. -0.3136 What is -1 - -11411? 11410 Calculate -42.97 + 271. 228.03 Total of 0.75 and 0.9. 1.65 -0.01895 + -0.4 -0.41895 Work out 16788 - 0. 16788 What is the difference between -44 and -356? 312 What is -0.39121 take away 1.4? -1.79121 Add -0.3 and -2700. -2700.3 Total of -0.051887 and 0.4. 0.348113 -52 - 1.536 -53.536 What is 625 - 0.03? 624.97 What is 0.152 less than 0.231? 0.079 What is 52218 minus 27? 52191 What is 0.5 less than 61883? 61882.5 What is the distance between -0.4 and -0.06361? 0.33639 Work out -2 + -95.5. -97.5 Work out -891355 + -3. -891358 Calculate 18.5 - 42. -23.5 Calculate -79.6 - 131. -210.6 Put together -31791 and 3.1. -31787.9 Work out 1030 - 0. 1030 What is -0.76 take away -4? 3.24 What is -1237 less than 0.05? 1237.05 What is the difference between -596 and -119? 477 What is 456 plus -4? 452 What is the difference between -5.27 and -0.0556? 5.2144 Work out -3.89 - -0.11. -3.78 Work out 17.4053 - -0.3. 17.7053 What is 1.878 minus -38? 39.878 What is the difference between 5964 and 0.5? 5963.5 What is -0.5 - 455? -455.5 Work out -39.93 - -9. -30.93 Total of -0.25 and 25248. 25247.75 What is -34.4 take away -2? -32.4 189.6+8 197.6 Sum -2.23325 and -0.9. -3.13325 Put together -144 and 0.019. -143.981 What is 3 - -10.733? 13.733 -3 - -21.321 18.321 Sum -1150 and -1538. -2688 What is -0.2 - 5.0928? -5.2928 Sum -3.2 and 131. 127.8 What is -0.1 take away 1244737? -1244737.1 Add -3 and 6.34728. 3.34728 What is -0.636023 less than 0.4? 1.036023 Add 3 and -198.1. -195.1 What is 93.9 take away 5? 88.9 Sum -6 and -1.13. -7.13 Work out 0.2 + 1290. 1290.2 Sum 42.91 and 69. 111.91 What is -12 less than -0.04389? 11.95611 What is 0.08 + 2045? 2045.08 What is -146.214 + -25? -171.214 Total of -428.9 and -1.11. -430.01 What is 14.1 less than -0.09213? -14.19213 What is 0.0577 minus 0.0278? 0.0299 What is the difference between -113 and 5.8? 118.8 What is -1484385 minus 0.2?
{ "pile_set_name": "DM Mathematics" }
nd derivative of n(l). Let j(f) = 0. Calculate f. -2, 0 Let g(j) be the second derivative of -j**7/14 + 12*j**6/5 - 9*j**5 - 37*j**4/2 + 237*j**3/2 - 189*j**2 - 20*j - 324. What is d in g(d) = 0? -2, 1, 3, 21 Let z(g) = -g**3 - g. Let j(c) = c**3 + 3*c**2 - 3*c. Suppose 4*b - 5*d = 2*b + 81, 0 = -4*d + 20. Suppose b = -q + 52. Let s(p) = q*j(p) + z(p). Factor s(l). -l*(l + 2)*(2*l - 1) Let d be (6/32)/(3/48). Suppose 0 = 2*a + 3*k + 2, 6*a = 2*a + 3*k + 14. Factor d - x**a + 0 + 2 - 5*x + 1. -(x - 1)*(x + 6) Suppose 7395*s**2 - 1445*s - 499*s**4 - 502*s**4 + 1026*s**4 - 855*s**3 = 0. What is s? 0, 1/5, 17 Factor -5*t**4 + 3*t**4 - 132*t**2 - 2*t**4 + 134*t**3 - t**4 - 134*t + 4*t**4 + 133. -(t - 133)*(t - 1)**2*(t + 1) Let h(m) be the second derivative of m**7/168 - 17*m**6/60 + 4*m**5/5 + m**4/24 - 65*m**3/24 + 4*m**2 + 619*m. Factor h(v). (v - 32)*(v - 1)**3*(v + 1)/4 Let x(i) be the second derivative of i**8/1512 + i**7/315 + i**6/180 + i**5/270 - 53*i**2/2 - 2*i + 9. Let q(t) be the first derivative of x(t). Factor q(l). 2*l**2*(l + 1)**3/9 Let d(t) = 11*t**3 - 235*t**2 + 836*t - 682. Let m(r) = -r**3 + 13*r**2 - 2. Let o(c) = d(c) + 7*m(c). Determine x so that o(x) = 0. 1, 6, 29 Let w(r) = -r**3 + 750*r**2 - 110*r + 82500. Let v be w(750). Factor -3*h**2 + v + 10/3*h - 1/3*h**3. -h*(h - 1)*(h + 10)/3 Let j(i) be the first derivative of -i**3/3 + 179*i**2 + 359*i - 1956. Factor j(m). -(m - 359)*(m + 1) Suppose 318*w = 320*w + 60. Let k be 2/(-48)*(-39 - w). Determine c, given that -3/8*c**2 - k + 3/4*c = 0. 1 Let s(n) be the first derivative of 3*n**5/5 + 9*n**4 - 165*n**3 + 726*n**2 - 1260*n - 5335. Factor s(d). 3*(d - 5)*(d - 2)**2*(d + 21) Let i(y) = 39*y**4 - 14*y**3 + 17*y**2 + 7*y + 231. Let o(a) = -a**4 - 4*a**3 - a**2 - a - 33. Let b(z) = 2*i(z) + 14*o(z). Factor b(x). 4*x**2*(x - 1)*(16*x - 5) Find p, given that p**2 - 25 - 1/3*p**3 + 25/3*p = 0. -5, 3, 5 Suppose -26 = r - 6*r + 4*p, -2*r = p. Factor -310*w + 89*w**r + 292*w + 33*w**3 + 4*w**2. 3*w*(w + 3)*(11*w - 2) Let u(z) be the first derivative of -z**4/28 - 416*z**3/21 + z**2/14 + 416*z/7 - 2809. Factor u(b). -(b - 1)*(b + 1)*(b + 416)/7 Factor 0*g + 17/6*g**3 + 4/3*g**2 + 0 + 5/3*g**4 + 1/6*g**5. g**2*(g + 1)**2*(g + 8)/6 Let w = 11019/2 - 5507. Let u(i) be the first derivative of 0*i + 4/3*i**3 - w*i**4 + 0*i**2 + 14/3*i**6 + 8 - 22/5*i**5. Solve u(t) = 0 for t. -1/2, 0, 2/7, 1 Let i(w) be the third derivative of -w**8/1008 + w**7/42 - w**6/10 - w**5/45 + 2*w**4/3 - 413*w**2. Determine f, given that i(f) = 0. -1, 0, 2, 12 Let x be 30*3/14 + (-4)/(-7). Suppose x*u - 5 = 65. Find s, given that -u - 2*s**2 - 16 - 15*s + 14 + s = 0. -6, -1 Let b(u) be the third derivative of u**5/150 + 73*u**4/60 + 142*u**3/15 - 635*u**2. Factor b(f). 2*(f + 2)*(f + 71)/5 Let p(t) = 4*t**3 + 16*t**2 + 208*t - 252. Let y(u) = 2*u**3 + 10*u**2 + 125*u - 151. Let w(k) = -7*p(k) + 12*y(k). Factor w(q). -4*(q - 4)*(q - 1)*(q + 3) Let c(a) = -3*a + 10. Let s be c(1). Factor 5*l + 11*l**3 - 15*l - 6*l**5 + s*l**4 + 5*l**5 - 9*l**2 + 2*l**4. -l*(l - 10)*(l - 1)*(l + 1)**2 Let h(p) = 30*p**3 + 2220*p**2 + 6095*p - 1070. Let f(z) = 30*z**3 + 2221*z**2 + 6110*z - 1071. Let a(s) = 5*f(s) - 6*h(s). Find g, given that a(g) = 0. -71, -3, 1/6 Let d be (6/8)/(7*(-9)/(-252)). Factor 8*h - 2 - 5*h**2 - 2 + 44*h**3 - 43*h**d. (h - 2)**2*(h - 1) Let n(b) be the third derivative of -4*b**3 - 1/45*b**5 - 11/18*b**4 + 0 + 36*b**2 + 0*b. Factor n(w). -4*(w + 2)*(w + 9)/3 Let -1/11*z**3 + 0 - 16/11*z**2 - 28/11*z = 0. What is z? -14, -2, 0 Let y(s) = -10*s**4 + 24*s**3 - 138*s**2 + 84*s + 8. Let t(m) = -6*m**4 + 16*m**3 - 91*m**2 + 56*m + 5. Let p(b) = -8*t(b) + 5*y(b). Let p(v) = 0. What is v? -7, 0, 1, 2 Let p = 2855/2 + -1426. Let r(n) be the second derivative of 0 + 0*n**3 + 8*n + 1/4*n**4 - p*n**2. Factor r(c). 3*(c - 1)*(c + 1) Factor -39*d + 434*d**2 + 30 + 412*d**2 - 840*d**2 + 3*d**3. 3*(d - 2)*(d - 1)*(d + 5) Factor -410*g + 5*g - 55*g**2 + 24*g**2 + 34*g**2. 3*g*(g - 135) Let q(h) be the third derivative of 0*h - 1/80*h**5 + 0 - 7/8*h**4 - 115*h**2 - 49/2*h**3. Determine x so that q(x) = 0. -14 Factor 0 + 232*j**2 + 42*j + 11/2*j**3. j*(j + 42)*(11*j + 2)/2 Let x(f) be the first derivative of -208 - 11/10*f**4 - 2/25*f**5 - 16/3*f**3 + 0*f - 48/5*f**2. Factor x(y). -2*y*(y + 3)*(y + 4)**2/5 Let c(f) be the second derivative of -53*f + 0 - f**4 - 3/25*f**6 - 8/15*f**3 + 0*f**2 - 31/50*f**5. Let c(m) = 0. Calculate m. -2, -1, -4/9, 0 Let z(k) be the third derivative of k**6/300 - 7*k**5/10 + 34*k**4/5 - 404*k**3/15 - 2539*k**2. Let z(a) = 0. Calculate a. 2, 101 Let l(h) be the first derivative of -h**4/8 - 29*h**3/6 + 31*h**2/2 - 1297. Factor l(n). -n*(n - 2)*(n + 31)/2 Let h(y) = 13*y**2 + 16*y + 18. Let p(l) = -28*l + 14 + 195*l**2 - 49 - 219*l**2. Let u(i) = -11*h(i) - 6*p(i). Factor u(d). (d - 6)*(d - 2) Let x(h) be the third derivative of -46*h**2 + 0*h - 2 + 1/105*h**5 - 64/21*h**3 - 1/3*h**4. Let x(q) = 0. Calculate q. -2, 16 Let m(l) be the third derivative of -2/15*l**5 - 1/60*l**6 + 19/12*l**4 - 14/3*l**3 + 11*l**2 + 0*l + 6. Factor m(f). -2*(f - 2)*(f - 1)*(f + 7) Let k be (-42)/28 - ((-194)/(-4) + 1). Let q = k - -54. Factor -18 + 8 - 343*h**2 + 353*h**2 - 5*h + 5*h**q. 5*(h - 1)*(h + 1)*(h + 2) Let u be (20 + -14 + 8)*(-300)/(-980). Factor 27/7*p + 0 - u*p**2 + 3/7*p**3. 3*p*(p - 9)*(p - 1)/7 Let c(f) = f**3 - 3*f**2 - 5*f + 6. Let v be c(4). Let l = 191 - 189. Find y such that -2*y**l - 2*y - 6*y + 6*y**v - 2 + y = 0. -1/4, 2 Suppose 0 = -8*t + 6 + 26. Let w(v) = -v**2. Let y(s) = -5*s**2 + 27*s - 26. Let f(h) = t*w(h) - y(h). Factor f(g). (g - 26)*(g - 1) Let f(u) be the first derivative of u**3 - 99*u**2/2 - 6*u + 150. Let d(r) = 3*r**2 - 99*r - 4. Let t(o) = -3*d(o) + 2*f(o). Let t(y) = 0. What is y? 0, 33 Let g be -1 + (792/(-77) - -11) + 4/14. Let r(b) be the second derivative of 0 + g*b**2 - 4*b - 1/4*b**4 - 3/20*b**5 + 0*b**3. Factor r(a). -3*a**2*(a + 1) What is c in 75/2 - 377/4*c + 5/4*c**2 = 0? 2/5, 75 Factor 574/3*g**2 + 32/3*g**3 + 0 - 12*g. 2*g*(g + 18)*(16*g - 1)/3 Let f = 316 - 316. Suppose f = -5*l - 60 + 70. What is g in -72/5*g**4 - 222/5*g**3 - 8/5*g + 16/5 - 164/5*g**l = 0? -2, -2/3, 1/4 Let a(c) be the second derivative of 1/90*c**5 + 0 - 1/27*c**3 - 126*c + 0*c**4 + 0*c**2. What is f in a(f) = 0? -1, 0, 1 Let p(x) = -20*x**2 + 175*x + 5. Let y(u) = 17*u**2 - 176*u - 4. Let z(n) = 4*p(n) + 5*y(n). Suppose z(b) = 0. Calculate b. 0, 36 Let j(z) be the second derivative of -1/90*z**4 + 3/5*z**2 + 8/45*z**3 + 0 - 164*z. Let j(p) = 0. Calculate p. -1, 9 Let r(j) be the first derivative of j**4/4 - 22*j**3/3 - 159*j**2/2 - 252*j - 934. Factor r(g). (g - 28)*(g + 3)**2 Let h(p) be the first derivative of 2*p**3/3 + 65*p**2 - 268*p - 7596. What is g in h(g) = 0? -67, 2 Let q(o) be the third derivative of -o**5/240 - 23*o**4/96 + 46*o**2 - 20*o. Determine l so that q(l) = 0. -23, 0 Let i(o) = -13*o + 67. Let m be i(5). Factor 6*z**3 - 9*z + 224*z**m - 7*z**3 - 234*z**2. -z*(z + 1)*(z + 9) Let d(i) = i**3 - 10*i**2 + 28*i - 101. Let m be d(8). Let a be 9 + (224/(-21) - m). Factor -2/3*k**3 - 14/3*k - 2 - a*k**2. -2*(k + 1)**2*(k + 3)/3 Let g = -8685 + 234511/27. Let h(c) be the second derivative of 0 - 1/90*c**5 + 0*c**2 - 23*c - g*c**3 + 4/27*c**4. Factor h(k). -2*k*(k - 4)**2/9 Let r = 6457/78 + -1927/26. Factor -28/3 + 2/3*j**2 + r*j. 2*(j - 1)*(j + 14)/3 Suppose 0 = 63*d - 43*d - 37680. Let v = -15067/8 + d. What is o in -v*o + 0 - 1/8*o**2 = 0? -5, 0 Let l(m) be the second derivative of -m**5/40 - 35*m**4/24 - 247*m**3/12 + 1083*m**2/4 + 98*m - 7. Determine u, given that l(u) = 0. -19, 3 Let j(l) be the first derivative of -4/15*l**3 + 18*l + 1/50*l**5 + 1/30*l**4 - 4/5*l**2 + 16. Let r(f) be the first derivative of j(f). Solve r(q) = 0 for q. -2, -1, 2 Suppose 44*s + 1488 + 2164 = 0. Let y be s/(-55) - (-6)/(-10). Suppose y*f - 12/11 + 2/11*f**2 = 0. Calculate f. -6, 1 Let r(g) be the first derivative of -237 + 8/5*g**5 - 1/6*g**6 - 15/4*g**4 + 8*g**2 - 8/3*g**3 + 0*g. Factor r(k). -k*(k - 4)**2*(k - 1)*(k + 1) Solve 0*m**5 + 84*m**2 - 3*m**5 + 6*m**4 + 13*m - 10*m + 5*m**3 + 33*m + 52*m**3 = 0 for m. -2, -1, 0, 6 Let y be 2/3 - 25/(-15)*95. Suppose 5*r - 5*b = y + 106, -4
{ "pile_set_name": "DM Mathematics" }
= 112*f - 121*f. What are the prime factors of f? 2, 41 Let d = 205 - -1006. What are the prime factors of d? 7, 173 Let d = 61 - 59. List the prime factors of (0 - 3/d)/((-2)/212). 3, 53 Let j be ((-25)/(-10) + -2)*122. Suppose -g + 0*g = -j. List the prime factors of g. 61 Let i(f) = f**2 - 2*f - 10. Suppose -3*w + 26 = -d, 5*d = -2*w - 0*d - 11. Let p be i(w). What are the prime factors of (-10)/p + 132/5? 2, 13 Let z(h) = h**2 - 2. Let v be z(3). Let a(i) = -13*i - 5. Let b(k) = -3*k + 1. Let f(y) = -a(y) + 4*b(y). What are the prime factors of f(v)? 2 Suppose 0 = -33*a + 36*a - 48. Suppose 2*b = -3*b - k + 16, b - 8 = k. Suppose b*z - a = -0*z. List the prime factors of z. 2 Suppose -8*w = -3*w - 10. Suppose -2*h = -w*u - 150, 0*u - 4*u - 227 = -3*h. What are the prime factors of h? 73 Let f(t) = -41*t**3 + 3*t**2 - 3*t - 1. List the prime factors of f(-2). 3, 5, 23 Let c be 3 - ((-8)/(-2) + -4). Let g = 0 + c. List the prime factors of g. 3 Let g(q) = -3*q**3 - 11*q**2 + 25*q - 40. What are the prime factors of g(-10)? 2, 5, 7, 23 Let w be 1*3/(-9) + 1169/(-3). Let z = 603 + w. List the prime factors of z. 3, 71 Let k = -342 - -702. What are the prime factors of k? 2, 3, 5 Let d = -183 + 565. List the prime factors of d. 2, 191 Suppose -315 = -2*q - z + 2172, q + z - 1244 = 0. List the prime factors of q. 11, 113 Let f be (-4 - -1)/((-2)/6). Let w be ((-33)/f - -3)*-3. What are the prime factors of (6/5)/(w/35)? 3, 7 Let u(n) = -12*n - 7. Let w(m) = m**2 - 8*m + 3. Let x be w(7). List the prime factors of u(x). 41 Suppose -3*u = -279 - 6. List the prime factors of u/3 + 3/9. 2 Let x(m) = -m**3 + 20*m**2 - 17*m - 8. What are the prime factors of x(9)? 2, 5, 73 Suppose 9*f + 368 = 13*f. Let t = -20 + f. What are the prime factors of t? 2, 3 Suppose 2*r = 3*c + 363 + 328, -5*c = 5*r - 1790. What are the prime factors of r? 353 Suppose 0*t - 3*t + 15 = 0. Let v be (2/t)/(2/570). What are the prime factors of (2/4)/(3/v)? 19 Let r be 2/3 + (-19)/(-3). Let p(c) = c**3 - 7*c**2 + 2*c + 3. Let o be p(r). Let f = o - 7. What are the prime factors of f? 2, 5 Suppose 3*j - 11*j = 160. What are the prime factors of ((-3393)/(-145))/((-6)/j)? 2, 3, 13 Let r(w) = 17*w - 4. Let s = 13 + -9. Let u be r(s). Let a = u + -32. List the prime factors of a. 2 Suppose 0 = 3*x + 4 + 5. Let k = x - -1. List the prime factors of k/3 + 137/3. 3, 5 Let j(y) = y**3 - 4*y**2 - 3*y - 7. Suppose 0 = 4*u - 3*i - 30, 6 = 2*u - 0*u + 3*i. What are the prime factors of j(u)? 47 List the prime factors of (-206)/(-4)*(215 - 111). 2, 13, 103 Suppose 2*m - a = a - 14, 3*m - 3 = -5*a. Let x = -2 - m. Suppose x*y + f - 4*f = 55, -3*f + 106 = 5*y. List the prime factors of y. 23 Let u be 1 + -3 + 1 - -12. Let l = -222 + 257. Let m = u + l. List the prime factors of m. 2, 23 Let j be 3/(-3)*(-2 + 2). Suppose j*p - 3*p + 334 = 5*y, -3*y + 3*p = -210. What are the prime factors of y? 2, 17 Let h(g) = -3*g + 22. Let i be h(-12). Suppose -2*b + 44 = -i. What are the prime factors of b? 3, 17 Let n = -2 - 4. Let l be n/(-27) + 6/(-27). Suppose l = -6*t + 10*t - 44. List the prime factors of t. 11 Let u = 99 - 52. Let n = u - 7. What are the prime factors of n? 2, 5 Let u be ((-12 - -6)/(-6))/(1/3). Let r be (4/5)/(8/60). Suppose -60 = -u*o + r. List the prime factors of o. 2, 11 Let o(y) = 96*y. Let u be o(-2). List the prime factors of (-1)/((-3)/u*-2). 2 Suppose 0 = 13*h - 22*h + 1647. List the prime factors of h. 3, 61 Suppose 13*a - 23227 = 20856. What are the prime factors of a? 3391 Let c(k) = 12*k - 2. Let m be c(-14). Let a = 35 - m. List the prime factors of a. 5, 41 Let b be (4/3)/(2/3). Suppose -o = -5, 6*j = b*j + 2*o + 114. List the prime factors of j. 31 Suppose 0 = -5*z - 10, c + 718 = 2*c + z. Suppose v + 3*m = 5*m + 135, m + c = 5*v. Suppose 0*u = 5*u - v. What are the prime factors of u? 29 Let c(m) be the second derivative of 2*m**4/3 - m**3/6 - m**2/2 + m. Suppose x - 24 = 13*x. What are the prime factors of c(x)? 3, 11 Suppose 2*q = 4*s + 6 + 20, 5*q = -s + 10. Suppose -2*h + 1 = -q. List the prime factors of h. 2 What are the prime factors of 15615/5 + (6 - (-4 - -6))? 53, 59 Let d be (3 - 36/4)*28/(-6). What are the prime factors of (1*(-679)/d)/((-2)/8)? 97 Let x(m) = -107*m + 446. List the prime factors of x(-8). 2, 3, 7, 31 Let t be 3/2 - 6/(-4). Suppose z + t*p = 15, -2*z - 3*z + p = -11. What are the prime factors of 26*(z/6)/1? 13 Let u = -626 - -995. What are the prime factors of u? 3, 41 Let r = -6 + 4. Let u be 598/22 + r/11. List the prime factors of (0 - -5)/(3/u). 3, 5 Let h be (-1797)/(-18) - -1 - 3/(-18). Let y = h + -39. What are the prime factors of y? 2, 31 Let z be 1165/20 - 3/12. Let d = 31 - z. What are the prime factors of -3 - -3 - 2 - d? 5 What are the prime factors of -4*(-653)/2 - (-60 + 58)? 2, 3, 109 Let w(v) = v - 1. Let g be w(3). Suppose -5*x + 123 = -g. What are the prime factors of x? 5 List the prime factors of (-3 + -1)/((-8)/436). 2, 109 Suppose 4*y - 8*y = 4*k - 72, 4*y - 74 = -3*k. List the prime factors of (-4)/(4 - 82/y). 2, 5 Let x = 64 + -98. What are the prime factors of 69/(4 - x/(-10))? 5, 23 What are the prime factors of 544 + -38 + -1 + -3? 2, 251 Let a = -644 - -4482. List the prime factors of a. 2, 19, 101 Let v(i) = -3*i. Suppose -3*n - 6 = 0, 5*n + 0 = 3*t - 1. Let u be v(t). Suppose u*r = 4*r + 100. List the prime factors of r. 2, 5 Suppose -10 + 2 = -4*p. Suppose -o = p*o. Suppose -j - 13 + 37 = o. List the prime factors of j. 2, 3 Let d = 3555 - 1478. What are the prime factors of d? 31, 67 Let s = 267 + -102. List the prime factors of s. 3, 5, 11 Let d be (21/14)/(2/4). Suppose -7 = -d*b - 2*w, -6*w + w - 5 = 3*b. Let z(u) = 2*u + 8. What are the prime factors of z(b)? 2, 3 Let k be (-3)/3 - 9/(-3). Suppose 8*w - 3*w = -3*d + 555, -333 = -3*w + k*d. What are the prime factors of w? 3, 37 Suppose 0 = -j + 4*w + 7, -5*j + 6*w + 65 = w. Suppose j = -d + 55. Let s = 6 + d. List the prime factors of s. 2, 23 Suppose 4*b + 163 = m, 287 = 4*m - b - 350. Let t = m + -79. Suppose 0 = -0*h - 5*h + t. List the prime factors of h. 2 What are the prime factors of -1 + (66045/25 - 7/(-35))? 19, 139 Let i(z) = -2*z**2 - 11*z - 29 - 20 + 51 - z. Let v be i(-5). What are the prime factors of 45/(-6)*(-64)/v? 2, 5 What are the prime factors of (-3)/(-6) + (-17121)/(-26)? 659 Let b(s) = s**3 + 4*s**2 - 4*s - 12. Let g be b(-4). Suppose -504 = -4*i - g*f, 3*i - 321 - 51 = -f. What are the prime factors of i? 3, 41 Let c(d) = 42*d + 1. Let s be c(4). Suppose 0 = -5*f + 401 + s. Suppose 3*p = f - 33. List the prime factors of p. 3 Let r = 93 - 48. Suppose -2*m = -3*m + r. Suppose -2*k = -5*k + m. List the prime factors of k. 3, 5 Let n(s) = 6*s**3 - 4*s**2 - 14*s + 1. What are the prime factors of n(6)? 1069 Suppose -z + 3*z + 4*j = -18, 0 = -2*z - 2*j - 8. Let r be 3 + z + 7 + -3. Suppose 3*a + r = 113. What are the prime factors of a? 5, 7 Let q(c) = -c**3 - 9*c**2 + 10*c - 8. Let z be q(-10). Let g be (-6 - z) + (1 - 3). List the prime factors of (-84)/(g + 4)*-1. 3, 7 Let v(r) = 9*r**2 - r - 31. Let f(q) = -25*q**2 + 3*q + 93. Let o(g) = 4*f(g) + 11*v(g). Let y = 1 - 1. List the prime factors of o(y). 31 What are the prime factors of ((-958)/(-6) - 1) + (-44)/(-33)? 2, 5 Suppose -y + 2*y - 851 = -5*u, 5*y - 4228 = 2*u. Suppose y = 5*o - 99. What are the prime factors of o? 3, 7 Let u = 657 + 377. List the prime factors of u. 2, 11, 47 Suppose 6*g = -1927 + 6331. List the prime factors of g. 2, 367 Suppose 4*h + 16 = z, 3*z - h + 0*h = -7. Let s be 7 - 6*(-2)/z. Suppose 12 = -s*a, -3*b = -8*b + 5*a + 250. List the prime factors of b. 47 Let q = -181 - -333. Suppose 5*k - q = -v, -4*v + 5*v - 155 = -4*k. What are the prime factors of v? 167 Suppose -3*q + 4*q = 0. Suppose 2*v - 100 - 32 = q. Suppose 0 = 4*a - 14 - v. What are the prime factors of a? 2, 5 Suppose -7253 - 3072 = -25*w. What are the prime factors of w? 7, 59 Suppose -2*r = 5*k - 15, 4*r - 4*k + 44 = 4. What are the prime factors of 2/5 + (-213)/r? 43 Suppose -660 = -4*f + l + 1501, 2*l = -2*f + 1088. What are the prime factors of f? 541 Let o(p) = -4*p + 23. Let w(c) = 13*c - 69. Let j(x) = 17*o(x) + 6*w(x). List the prime factors of j(17). 3, 7 Suppose 5*b =
{ "pile_set_name": "DM Mathematics" }
d)*(d**2 + 0*d**2 - 3*d**2) - 51*d**3 - 29*d**3 + 23*d**3. -55*d**3 Expand (2 + 1 - 2)*(82*v - 98 + 98). 82*v Expand (a - 3 + 3)*(a - a + a**2) - a**2 + 0*a**3 + 45 + a**3 - 35. 2*a**3 - a**2 + 10 Expand (942 - 942 + 205*q)*(-5*q + q + 8*q)*(1 - 2 - 1). -1640*q**2 Expand 48 + 39*x + 22*x - 48 + 4*x - 6*x + 0*x + (-2 + 4 - 1)*(3 - 3 + x) - 11*x - 3*x + 18*x. 64*x Expand (-2*d**2 + 5*d**2 - d**2)*(-2 + 1 + 2) + ((d - d + 2*d)*(3 + 2 - 4) - 6*d + 4*d + 4*d + 0*d + 3*d - 4*d)*(-2 + 0 + 3)*(8*d + 2*d - 3*d). 23*d**2 Expand (-50*n**2 + 50*n**2 + 15*n**3)*(0*n + 2*n + 9*n)*(4*n - 3*n - 3*n). -330*n**5 Expand (s**3 + 2*s**3 - 5*s**3)*(12*s + 12*s + s) + (16*s**2 - 3*s + 3*s)*(s**2 + 4*s**2 - 4*s**2). -34*s**4 Expand 8 - 2*a - 8 + (0 - 1 + 3)*(-a - 2*a + 2*a) - 25 + 25 + 23*a. 19*a Expand (-30*b - 59*b + 144*b)*(b**2 + 0 + 0) + 0*b + 3*b**3 + 0*b. 58*b**3 Expand (10*v - 9*v - 2*v**3 + 4*v**3)*(-42*v**2 - 12*v**2 + 89*v**2). 70*v**5 + 35*v**3 Expand (-s - 2*s + s)*((0 - 5 + 3)*(-1 + 0 - 5) + 3 - 3 + 2) + (-1 + 1 + 2)*(2*s - 4 + 4). -24*s Expand -s**2 + 4*s**2 + 2*s**2 + (5 - 2*s - 5)*(-3*s + 0*s + s) - s**2 + 4*s**2 - 5*s**2 - s**2 - 4*s**2 + 3*s**2 + (-4 + 3 - 1)*(0*s + s**2 + 0*s). 3*s**2 Expand -7 - d**2 + 7 + ((3 - 1 - 7 + (1 + 0 + 1)*(4 + 2 - 4))*(-13*d + 6*d - 8*d) - 3 + 3 - d)*(-2*d - 3 + 3). -29*d**2 Expand -3*a**2 + 4*a**2 - 2*a**2 + 4*a**2 + a**2 - 6*a**2 + (2*a**2 + 2*a**2 - 6*a**2)*(-5 - 2 + 4) - 2*a**2 + 3*a**2 + 0*a**2 + 68 + a - 3*a**2 - 68. 2*a**2 + a Expand (-3*p**3 - 3*p**3 + 4*p**3)*(2 + 2 - 5)*(-5*p + 8*p + 7*p) + p**4 + p - p + 3*p**4 + 3*p**4 - 7*p**4 + (2 - 4 + 4)*(3 + p**4 - 3). 22*p**4 Expand (21*k**2 + 44*k - 18*k - 1 - 27*k)*((2 - 2 + 2*k**2)*(-3*k + 2*k + 3*k) + k - k - 2*k**3 + (k**2 + 3*k - 3*k)*(3*k + k - 3*k) + 3*k**3 + 2*k**3 - k**3). 147*k**5 - 7*k**4 - 7*k**3 Expand (-q**2 + 2*q - 2*q)*(4*q + 2*q**2 - 4*q) - 60*q**4 + 3165*q - 3165*q. -62*q**4 Expand (-48 + 48 - 9*b)*(2 + 0 + 1)*(2*b - b + 2*b). -81*b**2 Expand 2 + 0 + 1001*f - 933*f + (-2 + 3 + 1)*(-4 - f + 4) - 5*f + f + 2*f. 64*f + 2 Expand (-6 + 6 - 2*t)*(-2 + 1 - 4)*(0*t - 2*t + 6*t)*(0 + 3 - 1). 80*t**2 Expand (2*n + 3*n - 7*n)*(0 - 1 + 0)*(-29*n - 23*n + 14*n). -76*n**2 Expand (-3*y**2 - 3 + 3)*(-3*y + 7*y + y)*(1 - y + 2*y + y)*(-165 - 20*y + 165). 600*y**5 + 300*y**4 Expand (-12 + 12 - 13*j)*(0*j + 2*j + 3*j). -65*j**2 Expand 5*f - 5*f**2 - 5*f + 0 + 0 - 2*f**2 + f**2 + 0 + 0 + (4*f + 0*f - 3*f)*(0*f - 2*f + 3*f) + 4*f**2 - 6*f**2 - 4*f**2. -11*f**2 Expand (-2 + t + 2 + (2*t + 2 - 2)*(1 - 2 + 0) + (1 + 2 + 1)*(3 - 3 - t))*(-4 - 3 - 1). 40*t Expand (448 - 448 + 7*g)*(5 - 12 + 14 + 15). 154*g Expand (-3*l**2 + l - l)*(-5*l + 4 - 4)*(1 - 8*l**2 + 6*l**2 - 3). -30*l**5 - 30*l**3 Expand (0*x**2 - 3*x**2 + 2*x**2)*(5518*x - 5518*x + 114*x**2 + (0*x + 3*x - x)*(0 - x + 0)). -112*x**4 Expand (-6*b + 3*b + 0*b)*(3 + 5 + 0)*(1 - 1 + 2). -48*b Expand (-20*c**2 + c**3 + 20*c**2)*(4 - 17 - 1). -14*c**3 Expand (2*r**3 - r**2 + r**2)*(-7*r + 5 - 5) - 2 + 9*r**4 + 0*r**4 - 3*r**4. -8*r**4 - 2 Expand (-x + x - x)*(35*x**2 + 0*x**2 + 17*x**2) + (0*x**2 + 2*x**2 + x**2)*(3*x - 2*x + 2*x). -43*x**3 Expand (-4*k + 2*k + 4*k)*((0*k + 0*k - 2*k)*(3*k**2 - 2*k**2 + 0*k**2) - 4*k**3 - 3*k**3 + 3*k**3) + 2*k**4 - 26*k + 14 + 26*k. -10*k**4 + 14 Expand (-4*f**4 + 9*f**4 - 6*f**4)*(3 + 3 - 3 + 3*f). -3*f**5 - 3*f**4 Expand (-46 + 10 + 12)*(1 - 1 + 1)*(1 - 1 + 2)*(1 - 1 + 3*g)*(0*g**2 + 2*g**2 + 0*g**2). -288*g**3 Expand (-r + 12*r + 2*r)*(2 + 2 - 2 + (4 - 6 + 3)*(0 + 0 + 1) + (0 + 2 + 3)*(-3 - 2 + 6) - 5 + 4 + 0). 91*r Expand (-l**2 - 3*l**2 + 5*l**2)*(3*l + 0*l - l) - 231*l**3 + 174*l**3 + 2 + 150*l**3. 95*l**3 + 2 Expand (-2*i + 3 - 3)*(113 + 3*i - 69 - 58). -6*i**2 + 28*i Expand (3*v - 2*v + v)*(-5*v - 17*v - 4*v)*(6*v**2 - 20*v + 20*v). -312*v**4 Expand 0*t**2 - t**3 + 0*t**2 + (-4 + 3 + 0)*(-5*t**3 + 37 - 37) + 2 - 2 + t**3 + (2*t + 0 + 0)*(4*t**2 - 4*t**2 - 2*t**2) - t**3 + 5 - 5 + 2*t - 2*t - 4*t**3. -4*t**3 Expand (20*u + 6*u**3 + 5*u**3 - 25*u)*(-9 - 10 + 11). -88*u**3 + 40*u Expand (0 + 0 - 7*m**5)*(-1 - 2 + 9) + m - m**5 - m + (2*m**3 - 3*m**2 + 3*m**2)*(m**2 + m**2 - m**2). -41*m**5 Expand 2*c**2 + 4 - 4 + (151*c**2 - 49*c**2 + 60*c**2)*(1 - 3 + 3). 164*c**2 Expand (p + 0 + 0)*(4*p - 6*p - 5 - 17). -2*p**2 - 22*p Expand (-1 - c + 1)*(-1 - 2 + 4) + 4*c - 3*c - 3*c + (-1 + 2 - 3)*(-c + 0 + 0) - c + 3*c + 5*c - 4 - 8*c + 4. -2*c Expand (-f + f + f)*(3 - 3 - 1)*(-f + 1067*f**2 + 29 - 7 - 1078*f**2). 11*f**3 + f**2 - 22*f Expand 8*g**4 - 3*g**2 + 3*g**2 + (0*g - 5*g + 4*g)*(0*g**3 - 4*g**3 + 5*g**3) - 4*g**3 + 4*g**3 - 3*g**4. 4*g**4 Expand (0 + 0 - 3)*((-3 - 3 + 4)*(-2 + s + 2) + 2 + 2*s - 7*s + s). 18*s - 6 Expand (0*k - 2*k + k)*(2*k**3 + k**3 - k**3) + 2*k**4 + k**4 - 2*k**4 - k**2 + k**2 + 6*k**4 + (-6*k + 3*k + 2*k)*(2*k**2 - 2*k**3 - 2*k**2). 7*k**4 Expand -4051*m**5 + 1468*m**5 + 2012*m**5 + (0 - 3 + 5)*(0*m + 0*m + 2*m**5) + 2*m**2 - 2*m**2 - 2*m**5. -569*m**5 Expand (-6 - 13 - 94)*(4*a + a - 3*a). -226*a Expand -11*g**4 - 9*g + 4*g**5 + 7*g + 14*g**4 + (-3*g**3 - g**3 + 2*g**3)*(3*g**2 - 3*g**2 - 9*g**2). 22*g**5 + 3*g**4 - 2*g Expand 97 - 17*g**4 - 97 + (4*g + 0*g + 0*g)*(-1 - 2*g**3 + 1) - 3*g**4 + 0*g**4 + g**4. -27*g**4 Expand -3*s**5 - 3*s**3 + 3*s**3 + (-s - 3*s + 5*s)*(0*s**4 - s**4 + 2*s**4) + 4*s**5 + 22*s**4 - 22*s**4. 2*s**5 Expand -j**5 - j**4 + j**4 + (3*j**4 + 0*j**4 - 4*j**4)*(3*j - 5*j + 0*j) - 11*j**5 - 18*j**5 - 19*j**5. -47*j**5 Expand (0*n**2 + 0*n**2 - n**4)*(9 - 28 - 3) + (9*n**2 + 2*n**2 + 0*n**2)*(n - 4*n + 2*n)*(4 - n - 4). 33*n**4 Expand (-4*a**2 + 0*a**2 + 7*a**2)*(1 - 2 + 0)*(4*a + 15*a - 3*a)*(-7 + 1 + 3). 144*a**3 Expand (-117*z + 590 - 592 - 38*z)*(3*z + 2*z**2 - 3*z). -310*z**3 - 4*z**2 Expand (3*u + 3*u - 4*u)*(4*u**3 - 5*u**3 + 0*u**3) - 86*u**4 + 31*u**4 + 30*u**4 + (-6*u**2 + 4*u**2 + u**2)*(3 - u**2 - 3) - u + u + u**4. -25*u**4 Expand (26 - 4*a - 3*a - 25)*(-2*a - 2*a + 2*a + (0 - 3 + 1)*(a - a + a)). 28*a**2 - 4*a Expand (1835 - 3678 + 4*q + 1845)*(-4 + 1 - 1). -16*q - 8 Expand 747*i**3 - 747*i**3 - 129*i**4 + (-3*i**2 + 5*i**2 - 3*i**2)*(2*i**2 - i**2 - 3*i**2). -127*i**4 Expand (-4*z**2 + 4*z**2 + z**2)*(220*z**3 + 703*z**2 - 704*z**2 + 91*z**3). 311*z**5 - z**4 Expand 2*c - 2*c - 2*c + (-c - 1 + 1)*(6 + 12 - 31). 11*c Expand (2*b**2 + 0 + 0)*(-7*b**2 + 7*b**2 + 7*b**3) + 0*b**5 + 10*b**5 + 0*b**5 - 4*b**5 + 2*b**5 + b**5. 23*b**5 Expand (-3 + 3 + r)*(-396*r - 178*r + 272*r - 263*r). -565*r**2 Expand (15*f - 17*f - 19*f)*(3 + 6*f - 12*f - 4*f). 210*f**2 - 63*f Expand -10 + 3 + 0*c**4 + 3*c**4 + (c**2 - 2*c**2 - 2*c**2)*(-4*c**2 + c**2 + 2*c**2). 6*c**4 - 7 Expand (2*q - 1 - q + q)*(0 + 6 - 9)*(52 - 14*q - 52). 84*q**2 - 42*q Expand (-6 - 6 + 5)*(9 - 9 + 8*i**2)*(5*i - 5*i + 2*i). -112*i**3 Expand (-1 + x**3 + 1)*(-25 + 10 - 61)*(3 - 3 + 3). -228*x**3 Expand (-4 - 2 + 4)*(2*s - 7*s + 14*s)*(-5 - 2 + 5). 36*s Expand (17 + 20 + 9)*(-1 - 1 - 23)*(0 + 4 - 2)*(-5*b + 3*b + 4*b). -4600*b Expand (j + 2*j - 4*j)*(-50*j - 5*j + 21*j) + 7*j**2 - j + j. 41*j**2 Expand (-9*m**2 - 8*m**2 + 5*m + 15*m**2)*(3 - 11*m + 4 - 5). 22*m**3 - 59*m**2 + 10*m Expand 7*j**4 + 0*j**3 + 0*j**3 - 21*j + j**4 + 21*j + (-4*j**3 + j**3 + j**3)*(-2*j - j + 4*j). 6*j**4 Expand 2 - 2*w + 6*w - 3*w + (-1 - 3 + 3)*(3*w + 2*w - 3*w) - 2 - 2*w + 2 - 4*w + 4*w + 2*w. -w + 2 Expand (3 + 2*d**3 - 3)*(-3 - 1 + 0) + 18*d**3 - 33*d**3 - 22*d**3 - 55*d**3. -100*d**3 Expand (56*d - 13*d**2 - 56*d)*(0 - 2 + 3) - d**2 + d**2 - 3*d**2 - d**2 + 4*d**2 - d**2 + 2*d**2 - 3 + 3 + (-6*d + 3*d + 2*d)*(4 - 4 - 2*d). -10*d**2 Expand (z - 1 + 1)*(74 + 54 + 194 - 29). 293*z Expand (-49*c**2 - 5128*c + 5128*c + (5*c + 0*c - 3*c)*(5*c + 0*c - 3*c))*(2 - 2*c - 3 - c). 135*c**3 + 45*c**2 Expand -22704*x**2 + 480*x**3 + 22704*x**2 + (5*x - x - 3*x)*(2*x**2 - 4*x**2 + 0*x**2). 478*x**3 Expand 0*u**2 - 6*u**2 + 0*u**2 + 4*u**2 + u**2 - 4*u**2 + 0 + 0 - u**2 + (-u + 0 + 0)*(-u - 2*u + u) + 10*u**2 - u**2 + u**2. 6*u**2 Expand -3 - 2*s**2 + 3 + (-4 - 3*s + 4)*(0 + s + 0) + 2 + 2*s**2 + 0 - 5 + s**2 + 0*s**2 - 4*s**2. -6*s**2 - 3 Expand (43*s**4 - 28*s**4 + 36*s**4)*(-11 + 3 + 6 - 2*s). -102*s**5 - 102*s**4 Expand (-1222 + 2418 - 1305)*(0*j**3 - 2*j**3 + 3*j**3). -109*j**3 Expand (6*u - 3*u**2
{ "pile_set_name": "DM Mathematics" }
2 + 3) + 21*d + 8*d - 173*d. -146*d Expand (-11*d - 12*d + 22*d + 28)*(-2 - 10 - 12). 24*d - 672 Expand 17*v**2 - 2*v**2 - 4*v**2 - v**2 + v**2 - v**2 + (-1 + 1 - v)*(-4 + 4*v + 1 - 6*v). 12*v**2 + 3*v Expand (-3 - 1 + 3 + (-4 + 5 + 1)*(3 - 2 - 3))*(-2*b**2 + 0*b**2 + 0*b**2)*(-34*b**3 + 13*b**3 - 20*b**3). -410*b**5 Expand -3 + 3 - 3*q**4 + (-4 + 5 + 1)*(4*q**2 + q**2 - q**2)*(-4*q**2 + 4 - 4 - 4*q**2 + 3*q**2 + 2*q**2 + (-4 + 4 - 2*q)*(-2*q - q + 5*q)). -59*q**4 Expand (-1 - 2*s + 1)*(4 - 4 - 4*s)*(-3*s - s + 2*s)*(524*s - 46*s**2 - 524*s). 736*s**5 Expand (3*u**2 + u**2 + u**2)*(3*u + 16*u + 3*u). 110*u**3 Expand -2*k**5 - 3*k**5 - 18*k**5 + (-3*k**3 - 2*k**3 + 2*k**3)*(1 + 2 - 5)*(2*k**2 - k**2 + 4*k**2). 7*k**5 Expand (0 - 3*r + 0)*(-6 - 1 + 2 - 4 + 2 + 3 + (-1 - 1 + 1)*(-2 + 4 - 3))*(5 - 4 - 2). -9*r Expand (-5 + 4 - 2)*(-22*j + j + 50*j)*(4*j**2 - 6*j**2 - 1 + 0*j**2) - 4 + 4 + 4*j**3. 178*j**3 + 87*j Expand -w + 4*w + 3*w + (-2*w - w + w)*(1 - 2 + 2) + w + 2 - 2 + (2 - 2 - w)*(1 + 0 + 1). 3*w Expand 4*q - 4*q + 7*q + (1 + 3 - 6)*(-12 + 6 - 1)*(5 - 5 - 6*q). -77*q Expand (-1 + 3 - 3)*(1 + z**2 - 3*z**2 - 2*z**2). 4*z**2 - 1 Expand (0*x - 2*x + 3*x)*(-1 - 1 + 7) - 3 - 4 + 5 + 5*x. 10*x - 2 Expand -4*i + 4*i + i + (-i + i - 3*i)*(-3 + 4 + 0)*(15 + 0 + 7). -65*i Expand (-2*v**5 - 2*v**5 + 2*v**5)*(28 - 12 + 75). -182*v**5 Expand (-3 + 5 - 3)*(2*b**3 + 2*b**3 + 5*b**3 + (3*b**3 + 0 + 0)*(-5 - 5 + 0) - 2*b**3 + b - b). 23*b**3 Expand (4*d - 4*d - d**5)*(5 + 0 - 4) + 0*d**5 + d**5 + d**5 + (d**4 - 2*d**4 - 4*d**4)*(-2*d - 276 + 270 + 4*d). -9*d**5 + 30*d**4 Expand (4*h**3 - 5*h**3 + 3*h**3)*(h**2 + 4*h**2 - 3*h**2 + (-3*h - h + 2*h)*(4 - 4 + 2*h) + 2*h**2 + 7*h**2 - h**2) - 8*h + 8*h - 4*h**5. 8*h**5 Expand 2 - 2 + 4*v**2 + (v - v + 2*v)*(4*v + 3*v - 5*v) + 2*v**2 + 0*v**2 - v**2 + (2 - 34*v - 2)*(2*v + 0*v - v). -25*v**2 Expand (-71*u**3 - 87*u**3 - 21*u**3)*(-7*u + 3*u + 2*u) + 3*u**4 + 0*u**2 + 0*u**2. 361*u**4 Expand (130 - 304 + 148 - 2*k)*(-4*k + 4*k - 3*k**2). 6*k**3 + 78*k**2 Expand (-2*p**3 + 2*p**3 + p**4)*(1 + 4 - 3) - 11*p + 11*p + 2*p**4 + (2*p**3 + 0*p + 0*p)*(251 - 251 + 107*p). 218*p**4 Expand -1706 - 107 + 426 - 2*i + (0 - 1 - 1)*(-2 + 2 + 2*i) - 1 - 2*i + 1. -8*i - 1387 Expand (1 - 2*h - 1)*(-h - h + 0*h + (39 + 50 - 25)*(h - 2 + 2) + (1 - 3 + 4)*(1 - h - 1) + h + h - h). -122*h**2 Expand (-3 + 3 + 2)*(-8*t + 9*t + 9*t + 13*t - 6*t + 8*t + (0*t + 0*t - t)*(0 - 3 + 0)). 56*t Expand (-5*o - 33*o + 18*o - 4)*(-6*o + o + 4*o). 20*o**2 + 4*o Expand (39*k + 30*k + 2*k)*(0*k**3 + 0*k**3 + 2*k**3) + (-k**3 - k**2 + k**2)*(-k + 6 - 6) + k**4 + 0*k**4 + 2*k**4. 146*k**4 Expand (1 - 2 + 4)*(-164*r + 63 + 69 - 136). -492*r - 12 Expand (-5 + 5 - 3)*(-55116 + 55116 - 382*v). 1146*v Expand ((-f + f - 2*f)*(1 - 2 + 0) + 39*f + 70*f + 15*f)*(-4*f**3 + 2*f**3 + 4*f**3). 252*f**4 Expand (-22 + 39*l**3 + 22 + (l**3 + 16*l**3 - 3*l**3)*(2 + 3 - 3))*(2 - 2 - 2*l). -134*l**4 Expand (-2 - 2 + 1)*(2*a + a**2 - 2*a) + (-4 + 1 + 4)*(4*a - 4*a - 2*a**2) - a**2 + 0*a**2 + 0*a**2 + (0*a - 2*a - a)*(-2*a - a + 2*a) + 2*a**2 - 4*a**2 + a**2. -4*a**2 Expand (-2 + 2 - 2*v)*(-v + 2*v - 2*v) + (1 - 5 + 2)*(1 - v**2 - 1). 4*v**2 Expand (-t - 1 + 9 - 5)*(5*t**3 + 20*t**3 + 10*t**3). -35*t**4 + 105*t**3 Expand 2 - 2 + g**2 + (-13*g + 2*g + 2*g)*(2 - 1 - 3)*(4*g + 5*g - 11*g). -35*g**2 Expand -68 + 10*w**2 + 68 + (0*w**2 + 0*w**2 + w**2)*(-2 + 2 - 2) + (2*w - 9*w - 14*w)*(w - 3*w + 0*w). 50*w**2 Expand (m**2 - m + m)*(0*m + 0*m - 4*m)*(-35 + 12 - 61). 336*m**3 Expand 4*h**3 - 3*h**3 + h**3 + (h - 2*h + 2*h)*(-3*h**2 + 3*h**2 - h**2) + 2*h**3 - 3 + 3 + (-2 + 2 - h**2)*(0 - h + 0). 4*h**3 Expand (-54 + 2*x + 54)*(-1 + 0 + 2)*(-35354*x + 2 - 2 + 35309*x). -90*x**2 Expand (-3*f**2 + 5*f**2 - 3*f**2)*(-109*f - 113*f + 349*f**2 + 221*f). -349*f**4 + f**3 Expand (-52 + 244 + 114)*(2*t - 4 + 4). 612*t Expand (-5*g**2 - g**2 + 4*g**2)*(0*g**2 - 98*g**2 + 28*g**2). 140*g**4 Expand (-26 - 68 - 80)*(-11*j - 3*j**2 + 11*j). 522*j**2 Expand -43*q + 15 - 15 + (-q - 1 + 1)*(3 - 4 + 2). -44*q Expand (s - s + s)*(7*s**2 + 12 - 12) + 2*s**3 + 0*s**2 + 0*s**2 + 8*s**3 - 7*s**3 + 8*s + s + 1. 10*s**3 + 9*s + 1 Expand (1 - k**2 - 1)*(-67 - 16*k + 1 + 12*k). 4*k**3 + 66*k**2 Expand (0 + 0 + h)*(-61 + 40 + 143)*(-1 + 3*h + 1). 366*h**2 Expand (-3*u**2 - 6*u**2 + 3*u**2)*(u**2 + 25*u**2 + 14*u**2) + (1 - 1 + 1)*(-u**4 + u**4 - 2*u**4). -242*u**4 Expand (0*n - n**2 + 0*n)*(3*n**2 + 0*n**2 - 5*n**2) + 3*n**2 - 6*n**4 - 3*n**2 + 2 + 24*n**2 - n**4 + 2*n**4 - 28*n**2. -3*n**4 - 4*n**2 + 2 Expand (-1 + 1 + 3 + (-4 + 0 + 2)*(0 + 3 - 1) - 2 - 3 - 3 + (-2 + 4 + 0)*(-1 - 1 - 1))*(3*p - 3*p - 3*p). 45*p Expand (1 + 4 - f - 2)*(144 - 144 + 14*f)*(-f**3 + 9*f**2 - 9*f**2). 14*f**5 - 42*f**4 Expand (0*q + 2*q**2 + 0*q)*(4*q - 4*q + q**3) - 5*q**3 - 2*q**5 + 5*q**3 + (-1 + 3 + 2)*(17*q**5 + 24*q**5 - 16*q**5). 100*q**5 Expand b + 2*b - b - 5*b + 3*b + 3*b + (7 - 5 + 2)*(b + 3*b - 2*b) + (2 - 4*b - 2)*(-4 + 1 + 4). 7*b Expand 1 - 1 - u + (-1 - 4 + 4)*(-7*u - u - 8*u). 15*u Expand ((2 - 1 - 2)*(-1 - 2 + 2) - 2 - 5 + 17)*(-9 + 21 - 14 - 4*g)*(0*g + 0*g - 3*g**2). 132*g**3 + 66*g**2 Expand (2*w**2 + 0*w + 0*w)*(0 + 1 + 0)*(-3 + 0 - 5). -16*w**2 Expand (-2 + 2 + 2)*(z - z - z**2) - z**2 - 2 + 2 + (-4*z + 2*z + 0*z)*(49874 - 49874 - 241*z). 479*z**2 Expand (12*n**5 - 18*n**2 + 18*n**2 - n**4)*(-15 + 2 + 0) + (-n**3 + 0*n**3 + 4*n**3)*(-2*n**2 + 1 - 1). -162*n**5 + 13*n**4 Expand 10*m**4 + 3*m**2 - 8*m**4 - m**2 + (-2*m**3 + 0*m**3 + m**3)*(-4*m - 2*m + 5*m)*(0 - 4 - 1). -3*m**4 + 2*m**2 Expand 92*t**2 - 52*t**2 + 12*t**3 - 48*t**2 + (2*t**2 + 0*t**2 - 3*t**2)*(-3*t + 0*t + t). 14*t**3 - 8*t**2 Expand (2 + 2 - 1)*(-5*a**5 - a**5 - 1 - 2*a**5). -24*a**5 - 3 Expand (-3*l**2 - 2*l**3 + 3*l**2)*(13*l - 15*l + 27*l). -50*l**4 Expand 716*v**3 - 716*v**3 + 65*v**4 + v**4 + 0*v**4 - 2 + 4 - 3*v**4 + 0*v**4 + 2*v**4 + (2*v**2 - 6*v**2 + 2*v**2)*(3*v**2 + v**2 - 2*v**2). 61*v**4 + 2 Expand (-19361*l**2 - 126*l**5 + 19361*l**2)*(-1 - 5 + 4). 252*l**5 Expand (69 - 29 + 56)*(s + 2 - 2) + 2*s - 4*s + 4*s. 98*s Expand (-2*r + 3 - 3)*(-30 - 18*r**2 + 30) + 0*r + 0*r - 2*r**3. 34*r**3 Expand -8*y**4 - 22 - 18*y**4 + 19 + 0 + 0 + 3*y**4 + 0*y**2 + 2*y**4 + 0*y**2 - 2*y**4 - 3*y**4 + 3*y**4 + (2*y**3 + 3*y**3 - 7*y**3)*(3*y + y - 2*y). -27*y**4 - 3 Expand -33*z**3 + 35*z**3 + 49*z - 115*z + (z**2 - 3*z**2 - z**2)*(-2*z + 4*z - z). -z**3 - 66*z Expand (2*b**3 + 4*b**2 - 4*b**2)*(212*b**2 + 397*b**2 + 59*b**2). 1336*b**5 Expand 2*q**4 + 1 - 1 + (-314 + 680 - 287)*(2*q + 0 + 0)*(-1 + 5 - 2)*(-2*q + 2*q**3 + 2*q). 634*q**4 Expand (-f + f - f)*(3*f**3 - 2*f**3 - 3*f**3) - 11*f**4 - 4*f**4 - 11*f**4 - 4*f**4 + 13*f**4 - 10*f**4 - f**4 - f**3 + f**3. -26*f**4 Expand (-34 + 24 - 70)*(-r + 2*r + 0*r). -80*r Expand -370*w + 257 - 257 + (4*w - 3*w + w)*(2 + 2 - 2). -366*w Expand 3*w + w - w + (-4 - 2 + 3)*(-w + 0 + 0) + 5 - 5 + 2*w + (w - 2*w + 3*w)*(0 - 4 + 6) + 2 - 2 - w + (-3 + 1 + 4)*(-2 + 2*w + 2). 15*w Expand (-2134 - 1066 + 596 - 895)*(2 + 0*y + 0*y - 2*y). 6998*y - 6998 Expand (132*g + 2*g**2 - 926408 + 926408)*(g + 3*g - 5*g). -2*g**3 - 132*g**2 Expand (-12 + 3 - 3 + (6 - 3 + 0)*(0 - 5 + 3))*(-3*b - b + 0*b)*(-1 + 1 + 2*b). 144*b**2 Expand (f**2 - 4 - 2*f**3 + 4)*(172*f**2 - 65*f**2 - 66*f**2). -82*f**5 + 41*f**4 Expand (-2*g**2 + 3*g**2 - 2*g**2)*(1 + 1 + 2) + (-1 + 1 + 1)*(3*g**2 + 5*g**2 - 2*g**2). 2*g**2 Expand (z - 9*z + 6*z + 2*z + 0*z - 4*z + (-1 + 1 - 2*z)*(-1 + 1 + 3))*(4 + z**2 - 4). -10*z**3 Expand (31 + 4 + 28)*(2*t + 2*t - t). 189*t Expand (-2*d - d - d)*((33 - 33 - 46*d**2)*(2 + 4 - 5) + 2*d - 2*d + 2*d**2 + (-d**2 - 1 + 1)*(2 + 2 - 2) + 0*d + 0*d - d**2). 188*d**3 Expand (-5*h - 82*h + 4*h)*(-15 + 0 - 9 + 7 - 22). 3237*h Expand -7 + 2*i**2 - 56 - 14 + (i**2 + 2*i**2 - i**2)*(3 - 1 + 0). 6*i**2 - 77 Expand (9*d**5 - 1403*d**2 + 1413*d**2 + 5*d**5)*(-4 - 2 + 4). -28*d**5 - 20*d**2 Expand ((4 + 1 - 3)*(2 - 1 + 0) - 1 + 4 - 2)*(-3*f**3 + 3*f**3 - 7*f**5). -21*f**5 Expand (1 - 1 - 2*m + (2 - 1 + 1)*(4*m + 2*m - 5*m) + 0*m - 2*m + m)*(-m**2 + 4 - 4). m**3 Expand (6*i + 2*i + 5*i + 4*i - i - i + i + 0 + 0 + (0*i + 3*i - i)*(-1 - 1 + 0))*(-3*i**3 + 40*i - 40*i - 2*i**4). -24*i**5 - 36*i**4 Expand ((-1 + 5 - 2)*(0*k**3
{ "pile_set_name": "DM Mathematics" }