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he nearest integer? 3 What is 17677629 to the power of 1/4, to the nearest integer? 65 What is 348992 to the power of 1/2, to the nearest integer? 591 What is the square root of 12482749 to the nearest integer? 3533 What is 589288 to the power of 1/8, to the nearest integer? 5 What is 3052329 to the power of 1/8, to the nearest integer? 6 What is the cube root of 2272234 to the nearest integer? 131 What is 853892 to the power of 1/2, to the nearest integer? 924 What is the square root of 109295 to the nearest integer? 331 What is the third root of 10239403 to the nearest integer? 217 What is the tenth root of 1242988 to the nearest integer? 4 What is the cube root of 6045757 to the nearest integer? 182 What is the square root of 3720787 to the nearest integer? 1929 What is 6553352 to the power of 1/3, to the nearest integer? 187 What is 821396 to the power of 1/2, to the nearest integer? 906 What is the eighth root of 740229 to the nearest integer? 5 What is the eighth root of 7988904 to the nearest integer? 7 What is 2521899 to the power of 1/2, to the nearest integer? 1588 What is the ninth root of 6402168 to the nearest integer? 6 What is the square root of 625064 to the nearest integer? 791 What is 2027667 to the power of 1/9, to the nearest integer? 5 What is the third root of 219109 to the nearest integer? 60 What is the fifth root of 4965145 to the nearest integer? 22 What is the square root of 3174864 to the nearest integer? 1782 What is the eighth root of 8145839 to the nearest integer? 7 What is 873669 to the power of 1/3, to the nearest integer? 96 What is 299037 to the power of 1/5, to the nearest integer? 12 What is 928623 to the power of 1/10, to the nearest integer? 4 What is the cube root of 5227955 to the nearest integer? 174 What is the fourth root of 10293369 to the nearest integer? 57 What is the cube root of 1992110 to the nearest integer? 126 What is 8016134 to the power of 1/2, to the nearest integer? 2831 What is the cube root of 30119835 to the nearest integer? 311 What is 394777 to the power of 1/2, to the nearest integer? 628 What is 3033711 to the power of 1/10, to the nearest integer? 4 What is 363383 to the power of 1/2, to the nearest integer? 603 What is 10945187 to the power of 1/9, to the nearest integer? 6 What is the sixth root of 4617965 to the nearest integer? 13 What is 21172 to the power of 1/3, to the nearest integer? 28 What is 680493 to the power of 1/9, to the nearest integer? 4 What is 2475370 to the power of 1/3, to the nearest integer? 135 What is the sixth root of 3843154 to the nearest integer? 13 What is the square root of 343496 to the nearest integer? 586 What is the third root of 33699187 to the nearest integer? 323 What is the eighth root of 825310 to the nearest integer? 5 What is 6500062 to the power of 1/2, to the nearest integer? 2550 What is the cube root of 8339762 to the nearest integer? 203 What is 110095 to the power of 1/2, to the nearest integer? 332 What is 6219996 to the power of 1/3, to the nearest integer? 184 What is the ninth root of 4964306 to the nearest integer? 6 What is 375763 to the power of 1/2, to the nearest integer? 613 What is 24576034 to the power of 1/8, to the nearest integer? 8 What is the seventh root of 379290 to the nearest integer? 6 What is the square root of 1051562 to the nearest integer? 1025 What is the third root of 336055 to the nearest integer? 70 What is the third root of 211321 to the nearest integer? 60 What is 2427225 to the power of 1/2, to the nearest integer? 1558 What is 1494552 to the power of 1/3, to the nearest integer? 114 What is the fifth root of 12422203 to the nearest integer? 26 What is the square root of 13188602 to the nearest integer? 3632 What is the square root of 384360 to the nearest integer? 620 What is the third root of 518249 to the nearest integer? 80 What is 9022709 to the power of 1/2, to the nearest integer? 3004 What is the square root of 710095 to the nearest integer? 843 What is the third root of 1344762 to the nearest integer? 110 What is the cube root of 14723135 to the nearest integer? 245 What is the square root of 1300908 to the nearest integer? 1141 What is the square root of 1499172 to the nearest integer? 1224 What is 8170722 to the power of 1/10, to the nearest integer? 5 What is 6074841 to the power of 1/7, to the nearest integer? 9 What is the square root of 456228 to the nearest integer? 675 What is the third root of 142254 to the nearest integer? 52 What is 174858 to the power of 1/2, to the nearest integer? 418 What is 877442 to the power of 1/5, to the nearest integer? 15 What is 10512338 to the power of 1/7, to the nearest integer? 10 What is 12792800 to the power of 1/3, to the nearest integer? 234 What is the eighth root of 409741 to the nearest integer? 5 What is 443961 to the power of 1/2, to the nearest integer? 666 What is the third root of 16501463 to the nearest integer? 255 What is 8490174 to the power of 1/2, to the nearest integer? 2914 What is the square root of 153300 to the nearest integer? 392 What is the third root of 72636 to the nearest integer? 42 What is the third root of 177059 to the nearest integer? 56 What is 175304 to the power of 1/2, to the nearest integer? 419 What is 1409716 to the power of 1/3, to the nearest integer? 112 What is 22200901 to the power of 1/2, to the nearest integer? 4712 What is the cube root of 6735506 to the nearest integer? 189 What is the cube root of 1221068 to the nearest integer? 107 What is the cube root of 716668 to the nearest integer? 89 What is 19974 to the power of 1/2, to the nearest integer? 141 What is 521466 to the power of 1/2, to the nearest integer? 722 What is 6943098 to the power of 1/2, to the nearest integer? 2635 What is the third root of 2672551 to the nearest integer? 139 What is the square root of 4944634 to the nearest integer? 2224 What is 10958206 to the power of 1/3, to the nearest integer? 222 What is the eighth root of 6004512 to the nearest integer? 7 What is 23395671 to the power of 1/6, to the nearest integer? 17 What is the cube root of 3110377 to the nearest integer? 146 What is 2651499 to the power of 1/5, to the nearest integer? 19 What is 134360 to the power of 1/10, to the nearest integer? 3 What is the cube root of 273062 to the nearest integer? 65 What is the fifth root of 7155214 to the nearest integer? 23 What is the seventh root of 1285823 to the nearest integer? 7 What is 26219 to the power of 1/2, to the nearest integer? 162 What is the square root of 68130 to the nearest integer? 261 What is the ninth root of 2006071 to the nearest integer? 5 What is 2892212 to the power of 1/2, to the nearest integer? 1701 What is 1791707 to the power of 1/6, to the nearest integer? 11 What is the seventh root of 281634 to the nearest integer? 6 What is the sixth root of 1884178 to the nearest integer? 11 What is 978504 to the power of 1/2, to the nearest integer? 989 What is 1008279 to the power of 1/9, to the nearest integer? 5 What is the square root of 5629594 to the nearest integer? 2373 What is 222380 to the power of 1/2, to the nearest integer? 472 What is the third root of 1856149 to the nearest integer? 123 What is 1787095 to the power of 1/6, to the nearest integer? 11 What is 295302 to the power of 1/3, to the nearest integer? 67 What is 9683112 to the power of 1/2, to the nearest integer? 3112 What is the sixth root of 3379051 to the nearest integer? 12 What is 4530889 to the power of 1/7, to the nearest integer? 9 What is the third root of 699933 to the nearest integer? 89 What is the fourth root of 411684 to the nearest integer? 25 What is 1933083 to the power of 1/9, to the nearest integer? 5 What is the seventh root of 6079036 to the nearest integer? 9 What is 70162 to the power of 1/2, to the nearest integer? 265 What is the fifth root of 4241 to the nearest integer? 5 What is the third root of 249177 to the nearest integer? 63 What is the cube root of 739883 to the nearest integer? 90 What is the eighth root of 301399 to the nearest integer? 5 What is the cube root of 10984493 to the nearest integer? 222 What is the fourth root of 195273 to the nearest integer? 21 What is 543299 to the power of
{ "pile_set_name": "DM Mathematics" }
ed by -303381 -684 142943298 divided by -3 -47647766 -13037 divided by -245 13037/245 Calculate -892931230 divided by 5. -178586246 What is -7218822 divided by 189969? -38 Divide -108781308 by -171. 636148 Calculate -356264472 divided by -3. 118754824 Calculate -348 divided by -136728. 29/11394 -37216566 divided by 18608283 -2 5 divided by -22666478 -5/22666478 -19871594 divided by 12 -9935797/6 3596400 divided by 1800 1998 Divide -1399348608 by 32249. -43392 Calculate 120524 divided by 163. 120524/163 What is -16993588 divided by 5? -16993588/5 -188874 divided by -136 94437/68 Calculate -719410380 divided by -35970519. 20 What is -753115 divided by -11? 68465 Divide -75 by -816127. 75/816127 Divide 0 by -60323. 0 Calculate -93743160 divided by 2678376. -35 What is -11293695 divided by 333? -33915 Divide 2068 by 12387. 2068/12387 -355821690 divided by 662 -537495 What is -5504664 divided by -2? 2752332 What is -60117 divided by 40? -60117/40 -253 divided by -2736 253/2736 Calculate 96469890 divided by 15. 6431326 20747500 divided by 4 5186875 Divide 1102 by 51320. 551/25660 Divide -2099352310 by -5. 419870462 What is -45872 divided by 1592? -5734/199 Calculate -275656530 divided by 3. -91885510 -153179109 divided by 3 -51059703 Calculate -1212365 divided by -1645. 737 What is 517355647 divided by 1? 517355647 Divide 0 by -71252. 0 Divide 38671620 by -59956. -645 What is -5963433 divided by -4? 5963433/4 Divide -64008634 by -30803. 2078 148 divided by 23743 148/23743 Divide 32882 by 561. 32882/561 -26 divided by -16037971 26/16037971 34115120 divided by -3 -34115120/3 What is 26764350 divided by 535287? 50 Calculate 5 divided by 1528449. 5/1528449 Calculate -11798596 divided by -436. 27061 Calculate -6372 divided by -101818. 3186/50909 Calculate -5400 divided by 4404. -450/367 10063746 divided by 99 101654 Divide 266400 by 740. 360 Calculate -966946 divided by -2. 483473 What is 4100870 divided by -5? -820174 What is 7 divided by 115521? 1/16503 What is -1997764 divided by 499441? -4 -24794133 divided by 8264711 -3 Calculate -5651 divided by -165. 5651/165 Calculate 440800618 divided by -1. -440800618 -7909841 divided by -1 7909841 Divide -218917663 by -2. 218917663/2 Calculate 9110736 divided by 4. 2277684 8970129 divided by -2990043 -3 What is 5750 divided by -11252? -2875/5626 Divide -3817376 by -32. 119293 What is -115196151 divided by -1622481? 71 Calculate -61983 divided by 1. -61983 Calculate -51436 divided by 125. -51436/125 Calculate -4255960 divided by -515. 8264 What is -17318170 divided by -3463634? 5 Divide 69155480 by 3457774. 20 What is 577271 divided by -754? -577271/754 14701117 divided by -639179 -23 What is -381842895 divided by -1? 381842895 What is 26499278 divided by -2038406? -13 Divide 2760 by -16009. -2760/16009 Calculate 25644126 divided by 1. 25644126 -42190165 divided by -19309 2185 760457 divided by 38 760457/38 Calculate 158907322 divided by 35798. 4439 Calculate -13779700 divided by -55. 250540 Calculate -1631 divided by -87363. 1631/87363 -139867 divided by -139867 1 Calculate -33823387 divided by 64181. -527 Calculate -11259452 divided by -2814863. 4 Calculate -102753420 divided by -1540. 66723 Calculate 6 divided by 1553159. 6/1553159 Calculate -5904010 divided by 49. -120490 Calculate 13033 divided by -253. -13033/253 Calculate -366178450 divided by -950. 385451 Calculate 5 divided by -49616223. -5/49616223 Divide 190754433 by 16167. 11799 Divide -10475 by -445. 2095/89 Calculate -1265270160 divided by -1470. 860728 -234361176 divided by 18606 -12596 Calculate -12203791 divided by -14. 12203791/14 114875483 divided by -3 -114875483/3 Calculate 67257950 divided by -5. -13451590 What is -4 divided by -17007230? 2/8503615 Calculate -210892750 divided by 1. -210892750 Divide 3258868 by -17. -3258868/17 What is -22936720 divided by 1146836? -20 Calculate 593632 divided by -547. -593632/547 -721453784 divided by 8 -90181723 Divide 59 by -2630870. -59/2630870 Calculate 0 divided by 136922544. 0 -316193787 divided by -42897 7371 What is -877116 divided by -15388? 57 What is -20492010 divided by -4098402? 5 Divide -12855553 by -1117. 11509 Divide -16859104 by -32. 526847 What is -16816 divided by -10368? 1051/648 Divide 932683520 by 8. 116585440 Divide -29502567 by 3. -9834189 3325385 divided by -95011 -35 -404416 divided by 14 -202208/7 108221720 divided by -21644344 -5 Divide 60616678 by 5. 60616678/5 Calculate 43426891 divided by -43297. -1003 20708160 divided by 117660 176 Calculate 20 divided by 23598173. 20/23598173 Divide 3482857 by 3482857. 1 Calculate 37015344 divided by 57. 649392 Calculate -4941 divided by 12824. -4941/12824 Divide -186650403 by 6. -62216801/2 What is 25 divided by -1219704? -25/1219704 Divide 107889 by -74. -107889/74 -4726860 divided by -472686 10 What is -137629265 divided by -2? 137629265/2 Divide 1414 by -11806. -707/5903 -115098688 divided by 14944 -7702 Calculate -65532 divided by 161. -65532/161 Calculate -2126 divided by -698. 1063/349 What is -4 divided by -740872? 1/185218 Calculate -115382 divided by -58. 57691/29 What is 115 divided by -72099? -115/72099 What is 183751 divided by 38? 183751/38 1968064 divided by 1337 1472 Calculate -105444508 divided by 13429. -7852 -67014810 divided by -6 11169135 Calculate -35742670 divided by -39670. 901 Calculate -3178638 divided by -1589319. 2 -1271634 divided by -32606 39 Calculate -2492015 divided by -4. 2492015/4 Divide -140289696 by 6099552. -23 10013 divided by -379 -10013/379 487 divided by -84439 -487/84439 2 divided by 2799340 1/1399670 -275260 divided by -137630 2 Divide 166188608 by 8. 20773576 What is 0 divided by 58939577? 0 What is -13000922 divided by 1111? -11702 What is 1288680 divided by -14? -644340/7 Divide -231 by -55105. 231/55105 189596705 divided by 2 189596705/2 What is -4585004 divided by -2623? 1748 Divide 5639375 by 161125. 35 -15965968 divided by -997873 16 What is -6402180 divided by -7? 6402180/7 Divide 437266044 by -25721532. -17 Calculate -1423 divided by -19350. 1423/19350 1 divided by 980430 1/980430 What is -2116750 divided by 677? -2116750/677 -16943003 divided by 209 -81067 Divide -10077600 by 38. -265200 Calculate -5294 divided by 11224. -2647/5612 42566488 divided by 7 42566488/7 What is -7625387 divided by -12859? 593 Divide -358065855 by -7. 51152265 Divide 138339894 by -143209. -966 Calculate 243218 divided by -142. -121609/71 What is 222978248 divided by 1? 222978248 Calculate -123447456 divided by 165924. -744 What is 535803900 divided by 3? 178601300 1 divided by -4101881 -1/4101881 -419970604 divided by -61 6884764 Calculate 222 divided by 33284. 111/16642 Divide -91020336 by -422. 215688 What is 23 divided by 395933? 23/395933 Divide 350396259 by 116798753. 3 Divide -568115376 by 201174. -2824 Calculate -2092 divided by 734. -1046/367 Calculate 5164065 divided by -1. -5164065 -56911404 divided by 14227851 -4 Divide 204927405 by 1. 204927405 -126641664 divided by 108 -1172608 Divide -6346337 by -7. 6346337/7 20762 divided by -7386 -10381/3693 Calculate 164 divided by 991778. 82/495889 Divide 745800400 by 46612525. 16 What is -11749686 divided by -345579? 34 What is 6112960 divided by 1222592? 5 -67549057 divided by -4 67549057/4 Calculate 244941432 divided by 61235358. 4 Calculate 3598790 divided by -5. -719758 Divide -44231550 by 6. -7371925 Calculate -19 divided by -20915. 19/20915 Divide -571764000 by -2544. 224750 What is 23453792 divided by -5863448? -4 Divide 221848285 by -5. -44369657 Calculate -6 divided by -665466. 1/110911 1263792 divided by -16 -78987 What is -84079631 divided by 6? -84079631/6 Calculate 778731 divided by 3. 259577 Calculate -70824754 divided by -595166. 119 Divide -6262200 by 74550. -84 Divide 101 by -4021526. -101/4021526 Divide -248596472 by 392108. -634 What is -109326789 divided by -934417? 117 87695 divided by -27 -87695/27 -347827 divided by -137 347827/137 Divide 86575 by 230. 17315/46 What is 156797 divided by -98? -156797/98 Calculate 5 divided by -5305589. -5/5305589 Calculate -1514762284 divided by 216394612. -7 Divide -8593840 by -4828. 1780 What is -479873 divided by -25? 479873/25 Calculate -326 divided by 190854. -163/95427 What is 2495244 divided
{ "pile_set_name": "DM Mathematics" }
/14 Let p = 41 + -65. Let v = p - -25.7. Let b = v + -1.84. Which is greater: -2 or b? b Let m be ((-44)/(-132))/((-1)/(-3)). Let g be 1*(-6)/(2 - 1). Let k be ((-8)/(-1002))/(g/(-9)). Is k greater than or equal to m? False Suppose -12*m - 1672 = -m. Let t = m - -151. Are 143 and t unequal? True Suppose 0 = 12*h - 0*h. Let l = -19541/22 - -888. Which is smaller: l or h? l Suppose 5*f = i - 6*i + 110, 40 = 2*f + 4*i. Suppose 0 = -3*o + 5*o. Suppose -l - 4*l - 10 = o, p - 2*l = -f. Is p greater than or equal to -28? True Let x be (4*(-9)/(-144)*(2 + -2))/(-5). Which is smaller: x or -25/116? -25/116 Suppose -15 = -3*h - d + 2, 0 = -3*h - 5*d + 25. Let r be ((-2)/1)/(-2) - 109 - h. Is r <= -112? True Let k(o) = -4*o + 4. Let s = 17 - 12. Let v be k(s). Suppose 208*m = -18*m + 103*m - 1968. Is m < v? False Let d(l) = l**3 - 5*l**2 + 4*l + 10. Let w be d(7). Let v be w/240 - 2/12. Let a = 365 - 371. Are a and v nonequal? True Suppose -2*i + 4*h + 48 = 0, 2*i - 44 = -0*i + 2*h. Suppose -3*w - w = 5*g - i, 3*w = 5*g - 20. Suppose -2*k - 36 = g*k. Which is greater: k or -19/3? k Let a = 76.14 + 1869.86. Which is smaller: -0.1 or a? -0.1 Let h = 378 - 373. Let u be (8/(-18))/(-8*h/140). Are u and 3 nonequal? True Let b be (((-306)/15)/2)/(7 + 9/(-15)). Which is smaller: b or -2? -2 Let s = 8399 + -8400. Is -2/6529 equal to s? False Let i be (2/3)/(8/(-132)). Let u = -1.58 + 1.3. Let d = u + 0.58. Which is bigger: d or i? d Let z(x) = -24*x + 330. Let q be z(14). Let i be 3/(-18) + (1335/18 - q). Are 79 and i equal? False Let p = -2.1 + 2.05. Which is smaller: p or 44? p Let w(k) = -k**3 + 74*k**2 + 161*k - 657. Let x be w(76). Suppose q - 16 = 13. Which is smaller: x or q? x Let s = -0.06 - 1.94. Let u be (-57)/(-133) + 5806/(-6552). Let y = 1/252 - u. Which is smaller: s or y? s Let b(f) = f**2 + 4*f + 1. Let s be b(-3). Let g be 17/14 - s/4. Suppose -93265 = 26*u - 93343. Is g at most u? True Let p = 6.36 + -8.36. Let l = 1.99 - 2.3. Which is greater: l or p? l Suppose -169*j = 88*j - 220763. Which is greater: j or 867? 867 Let p be (-1)/((-3)/4*(-6)/(-9)). Suppose 349*t - p = 348*t. Which is smaller: t or 135? t Let a be (-3)/(-6) + (-2890126)/828. Let m(t) = 1706*t + 78. Let l be m(2). Let c = a + l. Which is greater: c or 0? c Suppose -4 = p + 4*k - 0, -2*p - 4*k = 4. Let d be 2 + p - (-8 + 1). Let q = 1969 + -1961. Is d < q? False Let g be (-354)/84 - (-10)/(-12). Which is bigger: g or -5? -5 Suppose 5*s - 10 = 0, -7*s + 228 = -4*v - 3*s. Let t be ((-32)/v)/((-64)/(-160)). Is t less than or equal to 1? False Let f be (-5 + 8)/3*(-1 - -34). Suppose 0 = -3*l - 21 + f. Suppose 0 = 3*j - d + 1, -4*d = -l. Which is smaller: -9/7 or j? -9/7 Let a = 48.20528 + 0.02472. Let d = a + -48. Let t = 6 + -4. Is t smaller than d? False Let i = -41971 + 41968.989. Is i not equal to 6/5? True Suppose -3*t = 3 + 24. Suppose 350 + 118 = 39*p. Suppose 12*i - 12*i = -p*i. Which is smaller: i or t? t Let g = 18.19 + -21.19. Which is bigger: 3499 or g? 3499 Suppose -7*j + 8 = -20. Suppose -j = -4*n, -5*n + 17 = 7*y - 3*y. Suppose 4*c = -y*m + 7, 5*m - 4*m = -4*c + 5. Which is smaller: -2 or m? -2 Let f be 248/(-189)*-3 + 4/14. Let z = -37/9 + f. Is z > -5? True Let h = 14.771 + 35.529. Which is bigger: -3/5 or h? h Suppose 0 = 7*q + 5037 - 62052. Let z = q - 2972922/365. Is -1 >= z? False Let s = -85 - -89. Suppose -10*m - 257 = -4*j - 5*m, -148 = -2*j - s*m. Are 70 and j non-equal? True Let v = -15709/2 - -7863. Which is bigger: -125 or v? v Let i = 52.14 - 192.14. Which is greater: i or 0.06? 0.06 Suppose 0 = 88*w - 132*w + 121208 - 21196. Which is smaller: 2274 or w? w Suppose -15*j = -34*j - 76. Let l = -7933/2070 - 1/1035. Is j < l? True Let t(q) = 2833*q - 4. Let h be t(1). Suppose 2019 + h = 12*m. Is 403 smaller than m? True Let n be (1740656/909)/8*(-5)/(-10). Let z = n - 14/909. Which is greater: z or 120? 120 Let c = 144.6 + -144.54. Which is smaller: 3/106 or c? 3/106 Let w(g) = -70*g - 68*g - 1 - 74*g + 6*g**2 + 205*g. Let f be w(3). Which is greater: f or 35? 35 Let l = 2129 - 2168.07. Let v = 39 + l. Let i = -0.26 + v. Which is greater: -1/4 or i? -1/4 Suppose -2*x - 3*w - 1 = -6, -2 = -2*w. Let u = -177 + 179. Let a be u/(1 + (8/5 - 3)). Which is bigger: x or a? x Let w be (-12 - 0)*(-279)/(-12). Suppose 0 = 5*g - 8*s + 3*s + 1410, 3*s + 1402 = -5*g. Is g not equal to w? True Let s = -16 - -8. Let y = -90231 - -90227. Are s and y equal? False Suppose 0 = s - y - 6 - 18, 5 = -y. Suppose -21*p - 65 - 61 = 0. Let o(z) = -z**3 - 7*z**2 - 10*z - 6. Let l be o(p). Is l equal to s? False Let k = -14175 - -14178. Which is smaller: k or 8/47? 8/47 Let b = 2/62955 + -62969/440685. Suppose 0 = v - 77 + 21. Does v = b? False Let v = 0.25426 - 515.10426. Let m = 515 + v. Is m >= 0.15? True Let w be (-16)/(0 + 4) + 4. Suppose -2*l + 20 = -5*x - 7*l, -2*x + 1 = -l. Let o be ((-36)/196)/9*x. Which is smaller: w or o? w Let o = -3.9 + -33.1. Let g = -45 + o. Let f = g + 80. Which is greater: 1/6 or f? 1/6 Suppose 9*k - 2030 - 458 = -292. Which is bigger: k or 242? k Let g(a) be the third derivative of 5/24*a**4 + 0 - 5*a**3 + 0*a + 38*a**2. Let b be g(11). Which is greater: b or 24? b Let a = -4.87 + -0.13. Let z = -276.92 + 274.42. Is a > z? False Let a(i) = -105*i + 6. Let t be a(1). Let k = -115 - t. Which is greater: -17 or k? k Let f be ((-4)/9)/(-2) - (-7424)/288. Let a be (-3)/((-14)/6 + 2). Suppose 16 = g - a. Is g less than or equal to f? True Suppose 0 = -5*b + 3*b - 4*x - 10, 0 = -2*b + 3*x + 11. Let u(n) = n**2 - 15*n - 6. Let k be u(15). Let a be k/40*(10/105)/1. Which is bigger: b or a? b Let b = -12555 + 12793. Suppose -4*y + 9*y - 1185 = 0. Which is smaller: b or y? y Suppose 1488 = -116*y - 212*y + 235*y. Let q be ((-4)/(-3))/((-8)/(-12)). Suppose -48 = 2*p - 3*v, q*v + 0 = 8. Are p and y equal? False Suppose -3*k - i - 65 = -0*i, i = -2*k - 42. Let p = 24 + k. Let t be 4 + ((-132)/28)/p. Which is bigger: t or 0? 0 Let f be ((-48)/3)/2 + -52 + 17 + 48. Is f >= 393/88? True Suppose -2*q = 5*d + 7, q + 28 = -3*d + 23. Let o be ((-3542)/55)/(408/(-19)) + d. Does o = -1? False Suppose -3*c + 3*r = 2*c + 1055, -c = 2*r + 211. Let a = -98 - c. Which is greater: a or 112? a Let o(n) = -178*n + 416. Let g be o(2). Is 95 < g? False Let w(j) = 32*j + 61. Let r be w(-2). Let s be (-18)/(-1816)*(7/r + 3). Is s > 0? True Let t(a) = -a**2 + 9*a + 24. Let z be t(-3). Let x be 1 + 8/(-3) - z/18. Which is smaller: x or 0? x Suppose 4*a + 4*x - 4200 = 0, -11*a - 26*x + 21*x + 11544 = 0. Is a > 2? True Let w = -2 + 3. Let a = -156 + 157. Let u be 12/4*5/(205/a). Which is smaller: u or w? u Let v be (14/40)/(6 - (-490)/(-80)). Is -76 < v? True Suppose -641 + 31 = -10*r. Let m = -58 + r. Let y = 350 - 1389/4. Which is smaller: m or y? y Let a = 9935 + -9927.63. Which is bigger: a or -4? a Let l be 39/(-52) - 12 - -10. Which is smaller: -21 or l? -21 Let o = 8720 - 14170002/1625. Which is greater: o or 1? 1 Let z = 7 + -5. Let l = 3257 + -8968/3. Let x = l + -267. Which is greater: z or x? z Let l = 183 - 169. Suppose -940 = l*z - 142. Let w(r) = r**3 + r**2 + 3*r + 3. Let k be w(-4). Does z = k? True Let y = -40354.969 + 40376. Let o = 0.031 - y. Let h = 21 + o. Are h and 40 unequal? True Let y = -167 - 173. Let d be 6/(-20) - 442/y. Is -2/31 < d? True Let k = 1817 - 1536. Which is greater: 277 or k? k Let u(f) = -2*f**3 - 4*f**2 + 6*f + 1. Let t be u(-4). Let d = t - 39. Let j be 22/d*(-1)/(-6). Is 3 greater than j? True Let w(d) = d**3 + 2*d**2 - 21*d - 116. Let s be w(-7). Which is smaller: s or -1916/9? s Suppose -17*k - 624 = 1450. Let x = -125 - k. Is x less than -37? False Let f = 1.01 - 0.01. Let s = -68 + 6. Let b = s + 64. Does f = b? False Let k be -2 - 11*-17 - 1. Let u be 2 + 60/(-28) - k/(-14). Suppose 10*n = 9*n - u. Which is greater: -11 or n? -11 Let m = 4.59 - -0.61. Let u = -2757.1 + 2762. Let b = m - u. Is b smaller than -1/31? False Let d be (-440)/(-33)*(-81)/12. Is d bigger than 2? False Let x(m) = -924*m - 1201. Let s be x(-1). Which is smaller: -279 or s? -279 Let y = -3/209 - -221/836. Do y and 9.8 have the same value? False Let l = 186 - 98. Suppose 3*g + 4*a - 88 = -5, 5*a = -3*g + l. Let s be -2 - (-4 - g/(-12)). Does s = 0.38? False Suppose
{ "pile_set_name": "DM Mathematics" }
is divided by 83? 18 What is the remainder when 103977 is divided by 34658? 3 What is the remainder when 3941 is divided by 655? 11 What is the remainder when 685066 is divided by 11? 8 What is the remainder when 770 is divided by 420? 350 Calculate the remainder when 399733 is divided by 405. 403 What is the remainder when 4904 is divided by 2445? 14 What is the remainder when 8799 is divided by 100? 99 Calculate the remainder when 70603 is divided by 17647. 15 Calculate the remainder when 99366 is divided by 523. 519 What is the remainder when 794548 is divided by 22? 18 What is the remainder when 2648 is divided by 192? 152 What is the remainder when 5200 is divided by 554? 214 What is the remainder when 10863 is divided by 390? 333 Calculate the remainder when 1707 is divided by 16. 11 Calculate the remainder when 18091 is divided by 2578. 45 Calculate the remainder when 154969 is divided by 201. 199 What is the remainder when 340827 is divided by 35? 32 Calculate the remainder when 1207 is divided by 576. 55 Calculate the remainder when 44706 is divided by 452. 410 What is the remainder when 2724 is divided by 51? 21 Calculate the remainder when 10996 is divided by 785. 6 What is the remainder when 12019 is divided by 1968? 211 What is the remainder when 24026 is divided by 55? 46 What is the remainder when 1425919 is divided by 256? 255 Calculate the remainder when 68044 is divided by 140. 4 What is the remainder when 77763 is divided by 12960? 3 What is the remainder when 17156093 is divided by 73? 71 Calculate the remainder when 6813 is divided by 1156. 1033 Calculate the remainder when 244994 is divided by 92. 90 Calculate the remainder when 573 is divided by 136. 29 Calculate the remainder when 20019 is divided by 4747. 1031 What is the remainder when 23679 is divided by 5903? 67 Calculate the remainder when 332559 is divided by 75. 9 What is the remainder when 7947508 is divided by 285? 283 Calculate the remainder when 2024 is divided by 107. 98 Calculate the remainder when 404 is divided by 126. 26 What is the remainder when 3499 is divided by 3485? 14 What is the remainder when 104863 is divided by 1416? 79 Calculate the remainder when 1448 is divided by 120. 8 Calculate the remainder when 16013 is divided by 895. 798 What is the remainder when 3610 is divided by 173? 150 Calculate the remainder when 47751 is divided by 5948. 167 What is the remainder when 71236 is divided by 50? 36 Calculate the remainder when 6900 is divided by 34. 32 Calculate the remainder when 32346 is divided by 10464. 954 What is the remainder when 910 is divided by 173? 45 What is the remainder when 4086 is divided by 13? 4 What is the remainder when 520698 is divided by 205? 203 Calculate the remainder when 5474 is divided by 276. 230 What is the remainder when 6736 is divided by 177? 10 Calculate the remainder when 14127 is divided by 1558. 105 What is the remainder when 17699 is divided by 317? 264 What is the remainder when 4650 is divided by 1523? 81 What is the remainder when 3117924 is divided by 7? 5 Calculate the remainder when 44317 is divided by 82. 37 Calculate the remainder when 12521 is divided by 255. 26 Calculate the remainder when 15733 is divided by 828. 1 What is the remainder when 110238 is divided by 36741? 15 Calculate the remainder when 132282 is divided by 66139. 4 Calculate the remainder when 23238 is divided by 237. 12 What is the remainder when 384297 is divided by 549? 546 What is the remainder when 4722 is divided by 664? 74 What is the remainder when 1008 is divided by 327? 27 Calculate the remainder when 657 is divided by 298. 61 What is the remainder when 2476596 is divided by 73? 71 What is the remainder when 3261 is divided by 40? 21 What is the remainder when 577444 is divided by 11? 10 What is the remainder when 2676 is divided by 149? 143 Calculate the remainder when 585 is divided by 385. 200 What is the remainder when 44841 is divided by 2802? 9 What is the remainder when 31806 is divided by 10560? 126 Calculate the remainder when 521000 is divided by 65. 25 Calculate the remainder when 7277 is divided by 97. 2 What is the remainder when 57149 is divided by 75? 74 Calculate the remainder when 4595 is divided by 759. 41 What is the remainder when 4750 is divided by 790? 10 Calculate the remainder when 67345 is divided by 4. 1 Calculate the remainder when 51506 is divided by 1198. 1190 What is the remainder when 1005 is divided by 244? 29 Calculate the remainder when 1727 is divided by 267. 125 What is the remainder when 2703 is divided by 20? 3 What is the remainder when 6194 is divided by 281? 12 What is the remainder when 27410 is divided by 340? 210 What is the remainder when 251414 is divided by 62? 4 Calculate the remainder when 161189 is divided by 7675. 14 What is the remainder when 91908 is divided by 70? 68 Calculate the remainder when 9794 is divided by 100. 94 Calculate the remainder when 18805 is divided by 678. 499 Calculate the remainder when 898448 is divided by 27. 23 What is the remainder when 715008 is divided by 42? 0 What is the remainder when 58589 is divided by 87? 38 Calculate the remainder when 15383 is divided by 15140. 243 What is the remainder when 276739 is divided by 317? 315 What is the remainder when 1015575 is divided by 37? 36 Calculate the remainder when 752 is divided by 377. 375 Calculate the remainder when 782 is divided by 344. 94 What is the remainder when 190725 is divided by 228? 117 Calculate the remainder when 5740 is divided by 2809. 122 Calculate the remainder when 2110 is divided by 795. 520 Calculate the remainder when 47342 is divided by 24. 14 Calculate the remainder when 163474 is divided by 38. 36 What is the remainder when 53139 is divided by 984? 3 What is the remainder when 136760 is divided by 17087? 64 What is the remainder when 2822 is divided by 19? 10 What is the remainder when 10013 is divided by 132? 113 Calculate the remainder when 90606 is divided by 302. 6 What is the remainder when 41585 is divided by 94? 37 Calculate the remainder when 15634 is divided by 492. 382 Calculate the remainder when 16819 is divided by 37. 21 What is the remainder when 1199 is divided by 1185? 14 What is the remainder when 1672 is divided by 572? 528 Calculate the remainder when 11888 is divided by 1980. 8 Calculate the remainder when 414833 is divided by 18855. 23 What is the remainder when 148368 is divided by 137? 134 What is the remainder when 47229 is divided by 1888? 29 Calculate the remainder when 9114 is divided by 348. 66 Calculate the remainder when 32599 is divided by 10858. 25 What is the remainder when 2841 is divided by 21? 6 Calculate the remainder when 46673 is divided by 9. 8 Calculate the remainder when 37383 is divided by 18204. 975 Calculate the remainder when 9065 is divided by 24. 17 What is the remainder when 359428 is divided by 131? 95 What is the remainder when 2011 is divided by 281? 44 Calculate the remainder when 4849 is divided by 534. 43 Calculate the remainder when 83900 is divided by 13. 11 Calculate the remainder when 395829 is divided by 32. 21 What is the remainder when 6997 is divided by 1718? 125 Calculate the remainder when 27205 is divided by 147. 10 Calculate the remainder when 17770 is divided by 176. 170 What is the remainder when 85917 is divided by 60? 57 What is the remainder when 3496 is divided by 37? 18 What is the remainder when 59743 is divided by 5427? 46 What is the remainder when 729061 is divided by 59? 57 What is the remainder when 3258 is divided by 191? 11 What is the remainder when 1074 is divided by 6? 0 What is the remainder when 383018 is divided by 483? 482 What is the remainder when 83038 is divided by 1628? 10 Calculate the remainder when 27624 is divided by 9199. 27 What is the remainder when 1068 is divided by 829? 239 Calculate the remainder when 350 is divided by 109. 23 Calculate the remainder when 633 is divided by 273. 87 Calculate the remainder when 28754 is divided by 52. 50 What is the remainder when 975 is divided by 969? 6 What is the remainder when 33032 is divided by 1834? 20 Calculate the remainder when 796 is divided by 39. 16 What is the remainder when 1733 is divided by 354? 317 What is the
{ "pile_set_name": "DM Mathematics" }
8*c - 6*q - 4 Find the third derivative of 77*i**4 + 70*i**2 + 16 wrt i. 1848*i What is the second derivative of i**2*t**3 + 690*i**2*t*y - 132*i*t**3 - i*t*y - 2*i + 2*t**3*y wrt i? 2*t**3 + 1380*t*y Differentiate 1526*g**3 - 1355. 4578*g**2 Find the second derivative of -o**4 - 180*o**2 + 2271*o wrt o. -12*o**2 - 360 What is the third derivative of -3*h**5 - 19*h**3 - 2*h**2 + 77*h? -180*h**2 - 114 Find the second derivative of -440*n**3 - 364*n. -2640*n Differentiate 4588*b + 5844 wrt b. 4588 Find the third derivative of 5755*l**3 - 79*l**2 - 29*l wrt l. 34530 Find the third derivative of 6*f**4*k**3 + 216*f**4*k - f**2*k**3 + 38*f**2*k - 101*k**3 wrt f. 144*f*k**3 + 5184*f*k Find the third derivative of 214*c**5*j**2 + 7*c**3*j**3 + 295*c**2*j**3 - 8*c**2*j + c wrt c. 12840*c**2*j**2 + 42*j**3 What is the first derivative of -202*y**3 + y**2 - 384 wrt y? -606*y**2 + 2*y What is the derivative of -1304*d**4 + 1160? -5216*d**3 Find the second derivative of -2*s**2*y**3 - 2040*s**2*y**2 + 2*s*y**2 + y**3 + 2*y**2 - 541 wrt s. -4*y**3 - 4080*y**2 Differentiate -2*n**3 + 810*n**2 - 2*n*t**2 - 3982*t**2 with respect to n. -6*n**2 + 1620*n - 2*t**2 Differentiate n*r**3*s**3 + 3036*n*r**3*s**2 - 5*r**3*s**2 - 3*r*s**3 - 30*r*s wrt n. r**3*s**3 + 3036*r**3*s**2 Differentiate 756*o + 505 with respect to o. 756 What is the derivative of -420*n*y + 378*n + 2*y wrt y? -420*n + 2 What is the second derivative of -2031*q**2 + 1485*q + 1? -4062 Differentiate -t**4 - 2*t**3 + 14*t*u - 18*u - 9 with respect to t. -4*t**3 - 6*t**2 + 14*u Differentiate 10937*f*g*o**3 + g*o**3 + 82*g*o + 15*o**3 wrt f. 10937*g*o**3 What is the derivative of 667*g*k**3*p - 2*g*k**2*m*p + 2*k**3*m - 22*k**2*m + 36*k*m*p + 2*k wrt g? 667*k**3*p - 2*k**2*m*p Find the third derivative of 2*s**5 + 39*s**4 - 116*s**3 + 42*s**2 - 6*s - 1 wrt s. 120*s**2 + 936*s - 696 Find the third derivative of -h**5*j**3 - 55*h**5*j**2 + 47*h**2*j**3 + 13 wrt h. -60*h**2*j**3 - 3300*h**2*j**2 What is the first derivative of -218*p**4 - 308 wrt p? -872*p**3 Find the third derivative of -y**4 - 5029*y**3 + 2822*y**2 wrt y. -24*y - 30174 What is the second derivative of 14821*g**3 - 5915*g wrt g? 88926*g What is the second derivative of -55*i**2*o**3 - 3*i**2*o + 3*i*o - o**4 + 2*o wrt o? -330*i**2*o - 12*o**2 What is the second derivative of -5221*o**3*q - o**3 - 4*o*q + 145*o - q wrt o? -31326*o*q - 6*o What is the second derivative of 2*l**2*o*t + 151*l**2*o - 24*l*o*t - 13*l*o + 2*l + 2*o*t wrt l? 4*o*t + 302*o Find the third derivative of 4*o**3*q**3*y - o**3*q*y + 3*o**3 + 2*o**2*q**3*y - 2*o**2*q**2 - 16*q**2 wrt o. 24*q**3*y - 6*q*y + 18 Differentiate o**2*x**2 + 31*o**2 + 9*o*x**2 + 6*o - x wrt x. 2*o**2*x + 18*o*x - 1 Find the third derivative of -2*b*j**2*y**3 - 30*b*j**2*y**2 + 9*b*j**2*y - j**2*y**2 + 2*j**2*y - 933*y**5 wrt y. -12*b*j**2 - 55980*y**2 Find the second derivative of -5860*v**4 - 7218*v + 1 wrt v. -70320*v**2 Find the first derivative of 71*h*n*w*z + 7*h*n*w + 4*h*w*z - n*w*z + 3*w*z - 2*w - 10*z - 2 wrt h. 71*n*w*z + 7*n*w + 4*w*z Differentiate -5*c**2*s**3 - 44*c**2*s**2 - c*s**3 + 195*s**3 wrt c. -10*c*s**3 - 88*c*s**2 - s**3 Find the first derivative of 67*m**2 - 84. 134*m What is the derivative of 15*d**3*i*r**3 - 2*d**3*i*r - 125*d**3*r**3 - 2*i*r - 6*r**3 wrt i? 15*d**3*r**3 - 2*d**3*r - 2*r Find the third derivative of 90*g**3*t - 417*g**2*t wrt g. 540*t What is the third derivative of 2*d**2*i**3*l**3 + 42*d**2*i**3 + d**2*i**2*l**3 + 2*d**2*i**2 - 81*d*l**3 wrt i? 12*d**2*l**3 + 252*d**2 Find the third derivative of -23136*p**3 - p**2 + 1857*p - 2. -138816 Find the third derivative of -2*p**5*q + 2*p**4*q - 3*p**3*q*x + p**2*x + 6*p**2 + 3*q wrt p. -120*p**2*q + 48*p*q - 18*q*x What is the third derivative of -191*d**2*n**3*o - d**2*n**2 + 6*d**2*n*o wrt n? -1146*d**2*o What is the second derivative of 1118*x**2 - 21*x - 10? 2236 What is the second derivative of -208*l**4 - l**3 - 2*l**2 - 58*l + 10 wrt l? -2496*l**2 - 6*l - 4 Find the second derivative of -2*b*d**2*x**3 - b*d**2 - b*d - 5*d**3*x**3 - 4*d*x**2 + 2*x**3 - 2 wrt d. -4*b*x**3 - 2*b - 30*d*x**3 What is the second derivative of 78*k**3 + 1341*k wrt k? 468*k Find the third derivative of -42*o**3 + 39*o**2. -252 What is the third derivative of 176*d**3 - 687*d**2 wrt d? 1056 Find the third derivative of -177*p**4 - 3*p**2 - 6. -4248*p What is the third derivative of -126*n**5 - 226*n**2 + 1? -7560*n**2 What is the third derivative of -8815*p**6 - 126*p**2 + 49? -1057800*p**3 Find the first derivative of -66*z**3 - 128 wrt z. -198*z**2 Find the first derivative of 60*a + 255. 60 Differentiate -797*i*m**2*p**3 + 19*m**2*p + 2*p**3 wrt i. -797*m**2*p**3 What is the second derivative of -74*r**3 - 7*r**2 + 2*r - 2133 wrt r? -444*r - 14 What is the first derivative of 23071*a*x**3 - 2043*x**3 + x**2 + 3 wrt a? 23071*x**3 What is the derivative of a**2*d + 2*a**2*z + 183*a*d**3 - 20*a*z - 7*a - d**3*z + 5*z wrt d? a**2 + 549*a*d**2 - 3*d**2*z What is the third derivative of 272*w**3 + 59*w**2 + w wrt w? 1632 Find the first derivative of 23*a**4*u - 2*a**3*u - 6*a**2 + 8370*u wrt a. 92*a**3*u - 6*a**2*u - 12*a Find the second derivative of -31*k**5 + 2*k**4 - 85*k + 4. -620*k**3 + 24*k**2 Find the first derivative of 15*m*z**2 - 2*m*z - 75*m - 4*z**2 - 99*z + 5 wrt m. 15*z**2 - 2*z - 75 Find the third derivative of -f*s**3 - f + 56*s**3 - 27*s**2 + 1 wrt s. -6*f + 336 What is the second derivative of 9*n**3*y**2 + 10*n**3*y - 6*n**3 + n*y**3 - n*y - 34*y**2 wrt y? 18*n**3 + 6*n*y - 68 What is the second derivative of 6*b*g**3 + 17*b*g**2 + b*g + 2855*b - g**3 + 5*g**2 wrt g? 36*b*g + 34*b - 6*g + 10 Find the third derivative of -5*c*i*o**3*w + 4*c*i*o**3 + 3*c*i*o**2*w**2 + 2*c*i*o**2 + c*o**3*w**2 - i*o*w - 2*i*w**2 + 3*w wrt o. -30*c*i*w + 24*c*i + 6*c*w**2 What is the third derivative of 8190*c**6 - 1773*c**2? 982800*c**3 What is the third derivative of -3*a**4*v*z - 4*a**3*v*z - 17*a**3*z - a**2 + 2*a*v*z - 2*a + 153*v wrt a? -72*a*v*z - 24*v*z - 102*z Find the second derivative of -133*p**2 + 5*p - 6 wrt p. -266 What is the second derivative of g**2*n**2*x + g**2*n*x**3 + g**2*n*x**2 - 4*g**2*x**2 + 2*n**3*x**3 - 6*n**3 + n*x**2 wrt n? 2*g**2*x + 12*n*x**3 - 36*n What is the third derivative of -44*c**2*w**3 - 2*c**2 + w**3 - 182*w**2 wrt w? -264*c**2 + 6 Find the second derivative of l*s**5 - 165*l*s**2 - 8*l*s - 2*s**5 - 28*s wrt s. 20*l*s**3 - 330*l - 40*s**3 What is the third derivative of 534*c**3 - 625*c**2 wrt c? 3204 Find the third derivative of -377*i**2*w**3 - 2*i**2*w**2 - i + 4*w**2 wrt w. -2262*i**2 Find the second derivative of -18109*o**2 - 17214*o. -36218 What is the first derivative of g**3*x - 87*g**2 - 6*g + 5773*x wrt g? 3*g**2*x - 174*g - 6 Find the third derivative of -2*o**3*v**3*w + 12*o**3*w**2 + 2*o**2*v**3*w + o*v**2*w**2 - 2*o*v*w + v**3*w**2 wrt o. -12*v**3*w + 72*w**2 What is the first derivative of -2*y**3 + 848*y - 765 wrt y? -6*y**2 + 848 What is the derivative of -535*c*h + h + 2124 wrt c? -535*h Differentiate 17*u**4 - 60*u - 2496. 68*u**3 - 60 What is the third derivative of -2*b**3*c**4 + 12*b**3*c - 15*b*c**2 - c**5 + 45*c**3 wrt c? -48*b**3*c - 60*c**2 + 270 Differentiate -4*a**3*q*v**2 + 104*a**3 + a**2*q + q*v**2 - v**2 wrt q. -4*a**3*v**2 + a**2 + v**2 What is the third derivative of -3*k**3*y**4 + 176*k**3*y + 45*k**2*y**4 - 2*y**2 wrt y? -72*k**3*y + 1080*k**2*y Differentiate 5*b**3*o + 4*b**2*o - 4*b*o - o + 24 wrt b. 15*b**2*o + 8*b*o - 4*o Differentiate i**2*k**3 - 5*i**2*k*o - 2*i**2*o + 257*i**2 + i*o + 5*k*o wrt k. 3*i**2*k**2 - 5*i**2*o + 5*o Find the second derivative of 43*k**5 + 87*k**4 + k**2 + 3079*k - 1. 860*k**3 + 1044*k**2 + 2 Differentiate g*t**2 + 9*g*t*z**3 - 6*g*t*z - g*z**3 + 11*t**2 - t*z**2 + 30*z**3 with respect to g. t**2 + 9*t*z**3 - 6*t*z - z**3 What is the second derivative of -49*x**5*y - 3*x**2*y**3 + 5*x*y + 5*y**3 - 4*y wrt x? -980*x**3*y - 6*y**3 What is the first derivative of -17*j**3*n - 2*j*n**2 + 3*j*n - 519*n**2 wrt j? -51*j**2*n - 2*n**2 + 3*n Find the second derivative of -2*d**3*h**3 + 97*d**3*h - 2*d**2*h - 48*d*h**3 wrt h. -12*d**3*h - 288*d*h Find the second derivative of -10*j**3 - j**2 + 202*j. -60*j - 2 Differenti
{ "pile_set_name": "DM Mathematics" }
i = 10 + -17. Let o = -0.4 + 0. Let w = 38 + -188/5. Which is the smallest value? (a) o (b) i (c) w b Let g(o) = 5*o + 7 - 3*o**3 + o**3 + 11*o**2 + 3*o**3 - 18*o**2. Let k be g(6). What is the biggest value in -3/5, k, 2/9? k Let r = 0.6589 + -0.1589. What is the third biggest value in r, -0.4, -24, -2/3? -2/3 Suppose 5*i - 18 = i - 2*h, i = 2*h - 8. Let a = -4.36 + 3.9. Let u = -0.44 - a. What is the third biggest value in u, i, -2/9? -2/9 Let l = -67 + 271/4. Let s(m) = -m**3 + 2*m**2 + 3 - 3. Let w be s(2). Which is the third smallest value? (a) w (b) l (c) 2 c Let p = -11.62 + 7.62. What is the smallest value in 5, 4/5, p, -1? p Let w(g) = -g**2 + 2*g + 3. Let l be w(4). Let t be (-80)/(-18) + (l - -1). Which is the third smallest value? (a) 1/4 (b) t (c) 2/3 (d) 3 c Let w = 0.1376 - -4.8624. What is the smallest value in w, -17, 0.5? -17 Let t = 37/6 - 6. Let s = 4 - 19. Let q = s - -21. What is the second smallest value in 2/11, q, t? 2/11 Let w = -0.102 + -0.998. Let p = -0.6 - w. Which is the fourth smallest value? (a) -1 (b) 11 (c) -3/7 (d) p b Let q = -58 + 53. Let h = q - -2. Which is the fourth smallest value? (a) -0.4 (b) -1/3 (c) -0.2 (d) h c Let x = 138 + -143. What is the second biggest value in x, 0.3, 0.04, -7/5? 0.04 Let f = -0.02825 - 2.97175. Let z = 1 - -3. Which is the third biggest value? (a) f (b) 2 (c) z (d) 2/17 d Let l be (-89)/(-34)*-50 + -1. Let v(u) = -134*u - 2. Let g be v(-1). Let n = l + g. Which is the third biggest value? (a) n (b) 0.3 (c) -6 c Let n = -66.3 - -66.5. What is the second smallest value in n, 3, 1/4, -175? n Let j = -16 + 16. Let o = j - -0.3. Let l = 0.6 + -0.7. Which is the smallest value? (a) o (b) l (c) 4 b Let x = -200.2 + 200. What is the fourth biggest value in 4, -0.07, -5, x? -5 Let q = 2133.5 + -2133. Let p be (2/6)/(4/(-3)). Which is the third smallest value? (a) q (b) p (c) -0.5 (d) 0.11 d Let h = 0.2 - 0.23. Let r = 4.97 - h. What is the smallest value in 0.1, 4, r? 0.1 Let s = -101/2 + 48. What is the second smallest value in 4, 16, s? 4 Let i = 129 + -1279/10. Let l = 19/10 - i. Which is the smallest value? (a) -0.5 (b) l (c) 3/2 a Let c = 108/7 + -1160/77. What is the third biggest value in 5, c, -2/13? -2/13 Let v = -0.01 - 0.29. Let y = 3118 - 3118.1. Which is the second biggest value? (a) y (b) 0 (c) v (d) -5/4 a Let v = 5 + -5.01. Which is the fourth smallest value? (a) -2 (b) 4 (c) 1.1 (d) v b Suppose -3*h - 2*h + 5 = 0, 5*h = -3*b + 17. Let m(s) = s + 1. Let z be m(b). Let f = -4.4 - 1.6. What is the second smallest value in f, 1, z? 1 Suppose 4 = 4*z - 8. Let p be 11 + -10 - z/5. What is the biggest value in -0.2, 1, -2, p? 1 Suppose 0 = -20*w + 10 - 30. Let g = -0.12 - -6.12. Let t = -8 + g. What is the smallest value in 4, t, w? t Let w = 0.142 - -2.938. Let t = -57.92 + 58. Let p = w - t. What is the smallest value in 5, p, 1/2? 1/2 Let d = -1019/3 - -356. Let f = d - 17. Let q = -1185.9 + 1186. Which is the biggest value? (a) q (b) f (c) 0 a Let a = 342.8 - 343. What is the fourth smallest value in -1, 2/7, 1, a? 1 Let q = 18.93 - 18.33. Which is the smallest value? (a) q (b) 6 (c) 0.2 c Let q be ((0 + 1)/(-1))/(-4 + 8). What is the second biggest value in q, 1/25, 0? 0 Let t = 0.43 + 18.57. Let f = t + -21.1. Let g = 0.9 - f. What is the smallest value in g, -4, 5? -4 Let t(q) = q**2 + 4*q + 1. Let z be t(-4). Suppose 5*o - h - 61 - 18 = 0, o = h + 19. Which is the fourth biggest value? (a) o (b) -5 (c) 1/7 (d) z b Let h be 1/(-4) - 83/4. Let s be ((-2)/h)/((-1)/(-3)). Let r = 3/16 - 37/112. Which is the biggest value? (a) r (b) s (c) 0 b Let p = 2172 - 2173. What is the third smallest value in 0.02, p, 2? 2 Let u = -25.89 - -26. Let p = -0.51 + u. Which is the biggest value? (a) p (b) 0.5 (c) -9 b Suppose -4*l = -17*l - 65. Let q be l/15*3*-3. What is the third biggest value in -2/13, -2, q? -2 Let u = 2.297 - 2.257. What is the smallest value in -100, 0, u? -100 Let x = -15.8 - -18. Let t = -0.072 + 0.172. Let l = 0.204 + -0.504. What is the smallest value in x, t, l? l Let n = 245 - 244.5. What is the smallest value in n, -1, -2/3? -1 Let t = -135 + 340. What is the third smallest value in t, -4, -0.4? t Let x = 12 + -13. Which is the third smallest value? (a) 4 (b) x (c) -0.07 a Let a = 615 + -658. What is the second smallest value in -0.2, a, -5, 0? -5 Let j = 0.47 - -0.63. Suppose 0 = 2*c - 3*z - 2*z + 12, 0 = 5*z. Let h be (c/1)/(9/6). What is the biggest value in h, j, 0.3? j Let i = 34 - 46. Let x = i - -12. What is the smallest value in x, -5, -1? -5 Let w be 12/(-10) + (2 - 0). Let x = -89/184 - 3/184. Which is the second smallest value? (a) w (b) x (c) 4 (d) 1 a Let s be (2/6)/(13/(-39)). Let u = -2.8 + 3.8. Which is the smallest value? (a) u (b) -0.04 (c) s c Let x = 2/15 - 52/165. Let v = 0.02 + -0.62. Let m = -4.6 - v. What is the third biggest value in m, 0, x? m Suppose 5*y + 26 = 4*b - 5, -4*y = 5*b - 8. Let n be (-12 - -9)*b/6. What is the third smallest value in n, -3/11, 4? 4 Let y = 4145/37 + -112. Let o = -7348415/259 - -28372. Let v = o - y. What is the second biggest value in 0.5, 2, v? 0.5 Let z = -81 + 81.05. Which is the third smallest value? (a) -1 (b) z (c) 0.8 c Let q = 0.703 - 6.703. Which is the third smallest value? (a) -2/5 (b) 2/7 (c) q b Let g(h) = h**3 - 7. Let i = -19 + 22. Let q be g(i). Let o be 1 + 1 + (-35)/q. Which is the smallest value? (a) 0 (b) o (c) 0.1 a Let n = -9.74 + 9.9. Let m = 13 + -13.24. Let k = n - m. What is the biggest value in k, -5, 6? 6 Let v be (146 + 20)/(0 + 7). Let c = -24 + v. What is the third smallest value in 2, -1/3, c, -2? c Let b = 0.8 + -2.8. Let z = 0.28 + 0.02. Let s = z + 0. What is the third biggest value in s, b, 1? b Suppose -2*r + 67 = 37. Let t = -18 + r. What is the biggest value in 5, -4, -13, t? 5 Let n = 6 + -11. Let f = -2654 - -2650.934. Let o = 0.066 + f. What is the third smallest value in n, 1, o? 1 Let r = 17.8 + -13. Let n = -2.8 + r. Which is the biggest value? (a) 1 (b) 2/3 (c) n c Let z = -5.2 - -0.2. Let t be 23/(-4) - 18/72. Let k be t/15 - 4/(-20). Which is the third smallest value? (a) 1.2 (b) k (c) z a Let d = -0.2 + 0. Suppose -y - 35*m + 11 = -31*m, -3*m - 6 = -4*y. What is the second smallest value in d, -2/3, y? d Let l = 973/95 + -52/5. What is the third smallest value in l, -0.4, 4? 4 Suppose 4*s + 5*p = 401, 356 = 24*s - 20*s - 4*p. Which is the third smallest value? (a) -0.4 (b) -0.2 (c) s c Let o = 0.7 + -1. Let l = -1992 - -1999. Which is the biggest value? (a) l (b) 0.5 (c) o a Let r(z) = 2*z + 13. Let i be r(-7). Let k be i/(-4)*(7 + -1). Let v = -0.4 - 0. What is the third biggest value in k, 1/7, v? v Let s = 2.92 + 3.08. What is the second smallest value in -1, -3, s? -1 Let t = 0.2 - 0.5. Let s(j) = -j**2 - 9*j - 3. Let z be s(-8). Suppose 4 + 4 = 4*m + 2*h, z*m - 2*h = 1. Which is the smallest value? (a) 0 (b) m (c) t c Let f be (2/(-24))/(6/16). Let m be (1818/(-600) + 3)/((-2)/24). Let v = m - 4/25. Which is the second smallest value? (a) v (b) f (c) 0.5 a Let j = -0.12 - -0.12. Let l = 7.6 + -8. Let i = 90 - 94. What is the third smallest value in i, l, j? j Let f = -8.83 + 8.33. What is the third smallest value in 4, 20/9, -0.4, f? 20/9 Let q = 0.06 - 0. Let f = q + 0.34. Let g = -60.4 - -60.1. What is the smallest value in 0.5, f, g? g Suppose 4*d = -3*d + 315. Let y = d + -49. What is the smallest value in y, -2/3, 3? y Let i = -1073 - -1106. Which is the third biggest value? (a) i (b) -5 (c) 2 (d) -3 d Let l = 478 - 477. Which is the third biggest value? (a) -0.09 (b) 0.08 (c) l a Let w be 0/((-2 - 2) + 3). Suppose o - 2 + 1 = w. What is the second biggest value in o, -0.05, -0.1? -0.05 Let b be 1/(((-3)/(-41))/(-3)*1). Let i = 41 + b. What is the biggest value in -1, 4, i, -0.4? 4 Let a = -47 - -56. Let c be (-26)/18 + 12/a. Let d be -2 + (32/(-18))/(-1). What is the third smallest value in d, -2/7, c? c Suppose 3*h - i - i - 79 = 0, 0 = -4*h + 2*i + 106. Let u = h - 82/3. Let s = 17/5 + -4. What is the second biggest value in -2/7, s, u? u Let d = -32.927 + -0.073. Let h = d + 33.1. Suppose 14 - 2 = -4*k. What is the second biggest va
{ "pile_set_name": "DM Mathematics" }
09*t**2 - t as z*t + g*t**2 + y and give g. 76 Express -2*x - 8482*x**2 - 8489*x**2 + 16665*x**2 as t*x + h + n*x**2 and give n. -306 Rearrange 13 - 2*j**2 - 3*j**3 - 18 + 9 - 3*j**4 to a*j**2 + w + d*j + t*j**4 + y*j**3 and give y. -3 Express (3 - 1 + 0)*(-p + p + 3*p) - 300 + 182*p + 300 as w + v*p and give v. 188 Express (-15 - 11 + 24 - 232*l)*(-2*l - 2*l**3 + 2*l) + 0*l**4 - 2*l**4 - l**4 as v*l**4 + u*l**3 + r*l**2 + y*l + i and give v. 461 Express 0*f**4 - 140*f**2 + 0*f - 9*f - 3 - f**4 + 143*f**2 as i*f**2 + x*f + m + g*f**4 + h*f**3 and give x. -9 Express (53*p - 30*p + 21*p)*(-2 + 2 - 2*p) + (2*p - 3*p - p)*(2*p + 0*p - p) + 3*p**2 - 3*p**2 - p**2 as b*p**2 + y + m*p and give b. -91 Rearrange -4*a**2 + 2*a**4 - 2*a**3 + 0*a**4 + 2*a**4 + 26864 - 26863 + 5*a to the form x + c*a**2 + l*a**4 + p*a**3 + g*a and give g. 5 Rearrange 2*r**3 + 90*r**2 - 48*r**2 - 40*r**2 + 22 to l*r + g*r**2 + c*r**3 + p and give g. 2 Rearrange -40*o + 15*o + 32*o**2 + 25*o to p*o + a + y*o**2 and give y. 32 Rearrange -10*m + 27 + 3*m - 14 - 29 - 12*m to u + s*m and give s. -19 Express -1 + 1 + 492*l**2 + 594*l - 594*l as c + z*l**2 + n*l and give z. 492 Rearrange 19*l + 9*l**3 - 6*l**3 - 14*l**3 to n*l + r*l**3 + p + x*l**2 and give n. 19 Rearrange -41*y - 563 + 563 + (-2 + 5 - 2)*(0 - y + 0) - 7*y + y + 0*y + (y - 3*y + 4*y)*(-1 - 2 + 1) to the form l + b*y and give b. -52 Express 1 - 2 - 48*l + 94*l + 5*l**3 + 3*l**4 - 47*l as p*l**3 + q + v*l + u*l**4 + a*l**2 and give u. 3 Express (0*z - 2*z + 3*z)*(3*z - 4*z - z) + 2377*z**2 - 4761*z**2 + 2379*z**2 - 89 in the form n*z + t*z**2 + k and give n. 0 Rearrange -7*w + 6*w - 9*w**3 + 15*w**2 + 0*w**3 - 7*w**3 - 16*w**2 to o*w**2 + q*w**3 + p + r*w and give r. -1 Express -2013 + 24*c + 2013 + (0 - 1 + 0)*(-5*c - c - 2 + 7*c) as j*c + u and give u. 2 Rearrange 2 + 1 - 61*z + 65*z + 1 to m + u*z and give m. 4 Rearrange (-j + j + 2*j)*(114 - 148 - 210) to l + t*j and give t. -488 Express 62*u - 186*u - 130*u + 15*u in the form v + j*u and give j. -239 Rearrange 6*w - 58 + 4*w - 7*w to the form u*w + s and give u. 3 Express (-7 + 7 + 2*n)*(2 - 281*n**2 - 2 - 10*n**2) in the form m*n + x*n**3 + r*n**2 + a and give x. -582 Rearrange ((0*s + 2*s + 0*s)*(0*s + 0*s + s) + s**2 - s**2 - s**2)*(3*s - 7*s + 2*s) + (28 + 6 + 37)*(-1 + 1 - 2*s**3) to q + y*s + f*s**2 + l*s**3 and give l. -144 Rearrange 25*b**4 + 22*b**4 + 26*b**4 - 8 + 9*b - 75*b**4 + 19*b to g*b + q + y*b**3 + h*b**2 + j*b**4 and give g. 28 Rearrange -5468*g + 2280*g + 2408*g to o + q*g and give q. -780 Rearrange p**2 - 51 + 91 - 44 - p to the form a + f*p + m*p**2 and give m. 1 Rearrange -17 + 34 + 66 - 11 + 26 + y to the form i*y + d and give d. 98 Express 15*o + 55*o - 795 + 795 in the form r + i*o and give i. 70 Rearrange (2 - 1 - 2)*(-4 + 2 + 1)*((232*s + 37*s + s)*(1 + 2 + 5) + s - 3 + 3) to the form r*s + g and give r. 2161 Rearrange -6 - 2 - 37*q + 5 + 2 to the form u*q + k and give u. -37 Rearrange 56*d**2 + 17*d**2 - 3*d**4 - 20823*d**3 + 20824*d**3 to the form s*d**2 + o*d**4 + m*d + r*d**3 + g and give s. 73 Express (-20*y**2 - 2*y - 2 - 4 + 25*y**2)*(-3*y + 0*y + 4*y + 7) as r*y + u*y**3 + b*y**2 + h and give r. -20 Express (d + 4*d - 3*d)*(30 - 8*d - 30 - 100 + d + 100 + (-3 - 2 + 4)*(-3 + 2*d + 3)) as u*d**2 + g + v*d and give u. -18 Express 2 - 179*a**3 + 2*a**2 + 182*a**3 - 8*a - 4*a**2 as z*a**3 + g + x*a + i*a**2 and give i. -2 Rearrange (-3 - r**2 + 3*r**2 + 1)*(147*r**2 + 60*r**2 + 3*r**2) to the form c*r**3 + x*r**4 + b*r**2 + n*r + q and give b. -420 Express p + 70435 - 70435 - 3*p**3 - p**2 - 2*p**4 in the form j*p**4 + b*p**3 + n*p**2 + c + g*p and give b. -3 Rearrange -n + 1725*n**2 - 3599*n**2 + 1751*n**2 to y*n**2 + u*n + i and give i. 0 Rearrange 5*j**2 - 2*j**2 - 2*j**2 + 7*j**2 + 7*j**2 + 2*j**2 + (-j + 4*j + 4*j)*(-j - j + 0*j) to the form r + t*j**2 + f*j and give t. 3 Express 102*o**2 - 411*o**2 - 128*o**2 as x*o**2 + j + i*o and give x. -437 Rearrange (-3*d**3 + d**3 + 4*d**3)*(2 + 0 - 4) + (-61 + 32*d**2 + 61)*(d + 2 + d - d) to o*d**2 + y*d + z*d**3 + f and give z. 28 Express -107*d - 998*d + 20*d as v*d + c and give v. -1085 Rearrange 1201*f**2 - 639*f**2 + 26*f**2 + (f + 3 - 3)*(-f - 5*f + 4*f) to the form x*f + j*f**2 + i and give j. 586 Express 21*v - 4*v**2 - 4*v**2 + 8*v**2 + v**2 in the form o + h*v + f*v**2 and give h. 21 Express -g**2 + 34*g**4 - 5290 + 5290 + (1 + g + g + 5*g**3 - 6*g**3)*(-3 + 3 - g) in the form w + n*g + j*g**4 + y*g**2 + z*g**3 and give n. -1 Express -297*j**2 + 200*j**2 - 806*j**2 - 273*j**2 as i*j + l*j**2 + t and give l. -1176 Express (42*r + 908 + 908 - 1814)*(-1 + 0 + 3) + 33*r + 32*r - 79*r in the form y*r + q and give q. 4 Rearrange (3*c**3 - 5*c**3 - 8*c**3)*(-35 - 42 + 23 - 94) to p + k*c**2 + u*c**3 + q*c and give u. 1480 Rearrange -45*g**2 - 26*g**2 + 10*g**2 - 68*g**2 + 12*g**2 to the form c*g + w + b*g**2 and give b. -117 Rearrange t + 41 - 9 + 2*t to y*t + q and give y. 3 Express 19*w**2 + 101*w - 4 + 4 + 3*w**3 - 19*w**2 as j*w + s + q*w**3 + l*w**2 and give j. 101 Rearrange (341 + 29 + 36)*(2*n - 2*n - n**4 - n) + (0*n**2 + 0*n**2 + n**3)*(n - n + n) to the form x*n**3 + q*n**2 + g + s*n + u*n**4 and give q. 0 Express (4 + 181*b - 183*b - 5 + 7*b**2)*(-126 + 126 - 19*b) as x*b**3 + c + y*b**2 + p*b and give y. 38 Rearrange (h - 5*h + 2*h)*(-1 - 1 + 1) + 0*h + 2*h - 3*h + (32542 + 193*h - 32542)*(-3 - 2 + 4) to the form y + v*h and give v. -192 Express -9*x**2 + 77 - 21*x**2 + 28*x**2 as g*x**2 + l*x + r and give l. 0 Rearrange -4*z**2 + 2*z + 7*z**2 + z**3 + 1 + 2*z**3 - 5*z**3 to the form a*z**3 + g*z**2 + p*z + d and give a. -2 Rearrange -71*y**3 - 2*y**4 - 152*y**2 - 1 - 145*y**2 - 148*y**2 + 441*y**2 to the form o*y**4 + l + g*y**3 + p*y + f*y**2 and give f. -4 Rearrange 19*b**3 + 2*b - 4 + 0*b**3 + b**3 - 15*b**3 + 5*b**3 to w + a*b**2 + v*b**3 + k*b and give k. 2 Express -4*n**3 + 5*n**3 - 2*n**4 - 257*n**2 + 3*n + 271*n**2 - 7*n as b*n**4 + l*n**3 + y + j*n + r*n**2 and give b. -2 Express (410 + 67 - 118)*(-5*i**4 + i**4 + 2*i**4) in the form q*i**2 + w*i**4 + o + c*i**3 + g*i and give w. -718 Express 0 - 1 - 14*z**2 + 15*z**2 - z - 3*z**4 as m*z**2 + c*z**4 + i + a*z + j*z**3 and give m. 1 Rearrange -1 - 8*f**4 + 2*f + 446*f**2 - 218*f**2 - 232*f**2 to t*f**3 + y + m*f**4 + u*f + q*f**2 and give y. -1 Express -2*r**3 + 1211*r**2 + 1215*r**2 - 2426*r**2 + 575 in the form y*r**3 + j*r**2 + b*r + p and give p. 575 Rearrange -1356*v - 941*v - 2 + 2613*v - 912*v to the form u*v + s and give u. -596 Rearrange -1 + 3*d**3 + 1 - 12*d**2 + 51*d**4 - 29*d**2 - 53*d**4 + 2*d to the form m*d**2 + y*d + j*d**3 + u*d**4 + l and give y. 2 Express (-58*f + 29*f + 43*f)*(-f + f - f)*(2 - 4 - f - 1) in the form t + j*f**2 + z*f + a*f**3 and give j. 42 Rearrange -21*q**3 - 128 - 4*q**3 - q**3 + 143 - 25*q**2 + 23*q**2 to m*q**2 + h*q**3 + j + a*q and give h. -26 Express (-1 - 4 + 4)*(3*j - 3*j - 2*j**2) + 4*j - 4*j + 11*j**2 + (0*j - 4*j + 2 + 2*j)*(-4*j + j + 5*j) in the form a*j + g + h*j**2 and give a. 4 Rearrange -2*y**3 + 4*y - 5*y**4 + y**4 + 0*y**4 + 13*y**2 - 5*y to x*y**3 + l + c*y**2 + q*y**4 + n*y and give q. -4 Express ((-l - 2*l**2 + l)*(-1 + 2 + 0) - 4*l**2 + 4*l**2 - 3*l**2)*(130 + 630 - 83) in the form b + x*l**2 + i*l and give i. 0 Express 76*m**2 + 13*m**4 - 1 - 1 + 0 as q + f*m + o*m**4 + k*m**3 + z*m**2 and give o. 13 Rearrange 13*u**4 - 9*u**3 - u**2 - 2 + 4 - 10*u**4 - 2*u**4 to the form n*u**4 + q*u**2 + r*u + v*u**3 + s and give q. -1 Express -12*y**2 - 80*y**2 + 10*y**2 - 9*y**2 in the form k*y**2 + t + r*y and give k. -91 Express 5*s**2 + s**2 - 2*s**2 + 150 - 285 in the form d*s**2 + v + t*s and give v. -135 Rearrange (3*b**2 - 3*b**2 - 2*b**2)*(6*b - b - 3*b) - 3*b**3 + 70*b - 70*b + (-1 + 4 - b - 1)*(b**2 + b - 2*b + 3*b) to k + y*b**3 + p*b + n*b**2 and give p. 4 Express -n**2 - 3*n**2 - n**2 + (2*n - 2*n + n**2)*(-2 + 1 + 2) + (428 - 731 + 356)*(n - n + 3*n**2) in the form h*n**2 + u*n + c and give h. 155 Rearrange (3 - 1 + 5*u - 3*u)*(2*u**2 - 5*u**2 + 4*u**2) - 8*u**3 - 14*u**3 - 17*u**3 to the form s*u**3 + f*u + n + q*u**2 and give s. -37 Express (12*t**3 + 2*t**3 + 40*t**3)*(0 + 2*t - 1 - 4) in the form p + z*t**4 + q*t + j*t**2 + v*t**3 and gi
{ "pile_set_name": "DM Mathematics" }
en 4318087 is divided by 50? 37 What is the remainder when 59530183 is divided by 47? 30 Calculate the remainder when 2507831 is divided by 35. 11 Calculate the remainder when 79533 is divided by 3678. 2295 Calculate the remainder when 6232693 is divided by 37. 6 Calculate the remainder when 24462010 is divided by 4892398. 20 Calculate the remainder when 1348587 is divided by 2031. 3 What is the remainder when 4097437 is divided by 503? 502 Calculate the remainder when 194671 is divided by 97105. 461 What is the remainder when 91923 is divided by 2418? 39 Calculate the remainder when 1111164 is divided by 370384. 12 What is the remainder when 4208753 is divided by 1052187? 5 What is the remainder when 401680 is divided by 5023? 4863 What is the remainder when 44878 is divided by 1321? 1285 Calculate the remainder when 22935808 is divided by 3822609. 154 What is the remainder when 51257340 is divided by 4096? 4092 Calculate the remainder when 1538021 is divided by 128164. 53 Calculate the remainder when 1093645 is divided by 95. 5 What is the remainder when 50551398 is divided by 100? 98 Calculate the remainder when 44861 is divided by 36978. 7883 Calculate the remainder when 345559 is divided by 1509. 1507 What is the remainder when 5316699 is divided by 1329173? 7 Calculate the remainder when 66172 is divided by 62516. 3656 Calculate the remainder when 182238 is divided by 1648. 958 What is the remainder when 21311076 is divided by 4092? 4032 Calculate the remainder when 51287 is divided by 12464. 1431 What is the remainder when 1308109 is divided by 28352? 3917 Calculate the remainder when 27914652 is divided by 64468. 8 Calculate the remainder when 14172 is divided by 1652. 956 What is the remainder when 1605984 is divided by 124? 60 Calculate the remainder when 195475604 is divided by 10. 4 Calculate the remainder when 467025436 is divided by 4024. 4020 Calculate the remainder when 7794111 is divided by 338874. 9 Calculate the remainder when 18681 is divided by 4290. 1521 What is the remainder when 192294 is divided by 6306? 3114 Calculate the remainder when 296479 is divided by 74118. 7 What is the remainder when 64532054 is divided by 102? 20 What is the remainder when 31244386 is divided by 3? 1 What is the remainder when 106442 is divided by 32202? 9836 What is the remainder when 10239222 is divided by 262541? 123 What is the remainder when 55573 is divided by 715? 518 Calculate the remainder when 3142996 is divided by 168. 52 Calculate the remainder when 23926197 is divided by 462. 141 What is the remainder when 28464077 is divided by 13? 5 Calculate the remainder when 1314534 is divided by 3995. 179 Calculate the remainder when 30161 is divided by 1481. 541 Calculate the remainder when 208710 is divided by 168. 54 What is the remainder when 1181349 is divided by 5707? 0 What is the remainder when 1544248 is divided by 8075? 1923 What is the remainder when 38138 is divided by 11820? 2678 What is the remainder when 4631986 is divided by 46? 16 Calculate the remainder when 2932594 is divided by 239. 64 Calculate the remainder when 318272130 is divided by 24. 18 Calculate the remainder when 1056391 is divided by 1379. 77 What is the remainder when 19481133 is divided by 1384? 1333 What is the remainder when 1437542 is divided by 3917? 3 What is the remainder when 6213892 is divided by 1403? 5 Calculate the remainder when 139645230 is divided by 28. 18 Calculate the remainder when 1957002 is divided by 293. 55 Calculate the remainder when 2834879 is divided by 15. 14 What is the remainder when 640932 is divided by 33733? 5 What is the remainder when 955440 is divided by 955406? 34 What is the remainder when 70202 is divided by 69695? 507 Calculate the remainder when 509215 is divided by 328. 159 What is the remainder when 44510242 is divided by 1943? 1941 What is the remainder when 1185895 is divided by 829? 425 What is the remainder when 36467283 is divided by 483? 300 What is the remainder when 2372154 is divided by 69769? 8 Calculate the remainder when 1570555 is divided by 3272. 3267 What is the remainder when 17799063 is divided by 31? 10 Calculate the remainder when 2723153 is divided by 247551. 92 Calculate the remainder when 261175179 is divided by 1003. 1000 What is the remainder when 1808978 is divided by 432? 194 What is the remainder when 13790353 is divided by 922? 921 Calculate the remainder when 147866 is divided by 32. 26 What is the remainder when 1261236 is divided by 27418? 8 Calculate the remainder when 6316548 is divided by 5. 3 Calculate the remainder when 197205 is divided by 53. 45 Calculate the remainder when 2385316 is divided by 2874. 2770 Calculate the remainder when 1093150 is divided by 364176. 622 Calculate the remainder when 7779978 is divided by 236. 2 Calculate the remainder when 1121568 is divided by 560778. 12 Calculate the remainder when 127736 is divided by 127527. 209 What is the remainder when 31083 is divided by 9614? 2241 What is the remainder when 30908037 is divided by 834? 831 Calculate the remainder when 13699524 is divided by 1957069. 41 What is the remainder when 762877669 is divided by 3079? 3076 What is the remainder when 77041932 is divided by 93? 81 Calculate the remainder when 16633 is divided by 3346. 3249 What is the remainder when 45182 is divided by 3432? 566 What is the remainder when 2816865 is divided by 4255? 55 What is the remainder when 198431 is divided by 451? 442 Calculate the remainder when 766572 is divided by 214. 24 What is the remainder when 4909180 is divided by 16? 12 Calculate the remainder when 43845911 is divided by 5742. 5741 Calculate the remainder when 2977410 is divided by 496234. 6 What is the remainder when 5171 is divided by 42? 5 What is the remainder when 867391 is divided by 3676? 3531 What is the remainder when 1706722 is divided by 2144? 98 Calculate the remainder when 121187022 is divided by 111. 108 Calculate the remainder when 6633658 is divided by 1668. 22 Calculate the remainder when 134974 is divided by 458. 322 What is the remainder when 29820 is divided by 2315? 2040 What is the remainder when 2841155 is divided by 166? 65 What is the remainder when 574779 is divided by 114907? 244 What is the remainder when 11955605 is divided by 1992597? 23 Calculate the remainder when 1136579 is divided by 221. 197 Calculate the remainder when 37573465 is divided by 37573455. 10 Calculate the remainder when 3105113 is divided by 1034921. 350 Calculate the remainder when 4416499 is divided by 500. 499 Calculate the remainder when 40952 is divided by 9655. 2332 Calculate the remainder when 1710392 is divided by 244340. 12 What is the remainder when 126592 is divided by 541? 539 Calculate the remainder when 90905 is divided by 79. 55 What is the remainder when 100558325 is divided by 126? 119 What is the remainder when 5174009 is divided by 1201? 101 What is the remainder when 6705771 is divided by 32395? 6 What is the remainder when 3928935 is divided by 652? 635 Calculate the remainder when 2174923 is divided by 18589. 10 Calculate the remainder when 181579 is divided by 30187. 457 Calculate the remainder when 1667003 is divided by 85. 68 What is the remainder when 1844235 is divided by 23? 3 What is the remainder when 203774325 is divided by 1301? 1297 What is the remainder when 306742 is divided by 135? 22 Calculate the remainder when 13190347 is divided by 84. 79 What is the remainder when 4234738 is divided by 148? 14 What is the remainder when 114446 is divided by 33? 2 Calculate the remainder when 92686 is divided by 14815. 3796 What is the remainder when 826080 is divided by 256? 224 Calculate the remainder when 3013242 is divided by 57. 51 Calculate the remainder when 2752537 is divided by 11867. 11260 What is the remainder when 63505767 is divided by 85? 57 Calculate the remainder when 554211 is divided by 392. 315 What is the remainder when 767364 is divided by 338? 104 What is the remainder when 89514 is divided by 5260? 94 What is the remainder when 1407520 is divided by 234582? 28 Calculate the remainder when 1154281 is divided by 2363. 1137 Calculate the remainder when 89242 is divided by 17240. 3042 Calculate the remainder when 3607979 is
{ "pile_set_name": "DM Mathematics" }
the o'th term of 25939, 48955, 71975, 94999, 118027, 141059? 2*o**2 + 23010*o + 2927 What is the b'th term of -5271609, -5271598, -5271587? 11*b - 5271620 What is the f'th term of 8445, 557, -7331? -7888*f + 16333 What is the r'th term of 55676, 111480, 167284, 223088, 278892, 334696? 55804*r - 128 What is the a'th term of 45222, 180748, 406598, 722766, 1129246? -a**3 + 45168*a**2 + 29*a + 26 What is the a'th term of 1271696, 1271700, 1271704, 1271708, 1271712? 4*a + 1271692 What is the m'th term of 232726, 232729, 232726, 232717? -3*m**2 + 12*m + 232717 What is the c'th term of -33079631, -66159260, -99238889, -132318518? -33079629*c - 2 What is the q'th term of -45889, -67209, -88531, -109855, -131181, -152509, -173839? -q**2 - 21317*q - 24571 What is the x'th term of -609908, -1219822, -1829732, -2439632, -3049516, -3659378? x**3 - 4*x**2 - 609909*x + 4 What is the f'th term of 141374, 281770, 422178, 562604, 703054? f**3 + 140389*f + 984 What is the f'th term of 540829, 1081654, 1622479? 540825*f + 4 What is the t'th term of -102583, -102607, -102647, -102703, -102775, -102863, -102967? -8*t**2 - 102575 What is the c'th term of 173893222, 173893220, 173893218, 173893216, 173893214, 173893212? -2*c + 173893224 What is the n'th term of 8943, 18497, 28043, 37581, 47111, 56633, 66147? -4*n**2 + 9566*n - 619 What is the o'th term of 67509, 539916, 1822157, 4319148, 8435805, 14577044, 23147781? 67486*o**3 + o**2 + 2*o + 20 What is the y'th term of -51903738, -51903737, -51903736, -51903735, -51903734, -51903733? y - 51903739 What is the p'th term of 40508, 80981, 121460, 161945, 202436, 242933? 3*p**2 + 40464*p + 41 What is the m'th term of 4670839, 4670845, 4670855, 4670869, 4670887? 2*m**2 + 4670837 What is the p'th term of -1559278, -1559261, -1559240, -1559215, -1559186, -1559153? 2*p**2 + 11*p - 1559291 What is the k'th term of -640, -2032, -4202, -7150, -10876, -15380? -389*k**2 - 225*k - 26 What is the o'th term of -973068, -1946135, -2919200, -3892263, -4865324, -5838383? o**2 - 973070*o + 1 What is the k'th term of -53043864, -106087732, -159131614, -212175516, -265219444, -318263404, -371307402? -k**3 - k**2 - 53043858*k - 4 What is the g'th term of 3608, 4003, 4390, 4763, 5116, 5443? -g**3 + 2*g**2 + 396*g + 3211 What is the z'th term of -1037, -3264, -5457, -7616, -9741, -11832, -13889? 17*z**2 - 2278*z + 1224 What is the a'th term of 4599, 37860, 128131, 303918, 593727, 1026064? 4751*a**3 - a**2 + 7*a - 158 What is the z'th term of 221091, 884332, 1989735, 3537300, 5527027, 7958916? 221081*z**2 - 2*z + 12 What is the s'th term of -19103, -22550, -25997? -3447*s - 15656 What is the j'th term of -362, -1166, -1992, -2840, -3710? -11*j**2 - 771*j + 420 What is the z'th term of 19982, 80038, 180134, 320270, 500446, 720662, 980918? 20020*z**2 - 4*z - 34 What is the t'th term of -74589, -77604, -80619, -83634, -86649? -3015*t - 71574 What is the n'th term of -10934528, -21869055, -32803582, -43738109, -54672636? -10934527*n - 1 What is the y'th term of -91769, -91812, -91855, -91898, -91941? -43*y - 91726 What is the k'th term of -1021, -5230, -12625, -23206, -36973, -53926, -74065? -1593*k**2 + 570*k + 2 What is the b'th term of 2257, 3447, 4607, 5731, 6813? -b**3 - 9*b**2 + 1224*b + 1043 What is the d'th term of 223573, 446064, 668555, 891046? 222491*d + 1082 What is the x'th term of 483868, 483633, 483398? -235*x + 484103 What is the o'th term of 14141512, 14141509, 14141506, 14141503, 14141500? -3*o + 14141515 What is the u'th term of -4207, -14035, -30373, -53185, -82435, -118087, -160105, -208453? 6*u**3 - 3291*u**2 + 3*u - 925 What is the l'th term of -75561, -76217, -76879, -77547, -78221? -3*l**2 - 647*l - 74911 What is the a'th term of -1620881, -1620854, -1620813, -1620752, -1620665? a**3 + a**2 + 17*a - 1620900 What is the g'th term of 32, -1411, -3788, -7075, -11248, -16283? 4*g**3 - 491*g**2 + 2*g + 517 What is the h'th term of 608674, 608715, 608784, 608881, 609006, 609159? 14*h**2 - h + 608661 What is the o'th term of 14962, 15270, 15784, 16504, 17430? 103*o**2 - o + 14860 What is the u'th term of -412, -6298, -23332, -57088, -113140, -197062, -314428, -470812? -929*u**3 + 617*u - 100 What is the l'th term of 15821840, 15821839, 15821838? -l + 15821841 What is the g'th term of 5244, 5968, 6666, 7332, 7960? -g**3 - 7*g**2 + 752*g + 4500 What is the i'th term of -4725723, -9451449, -14177175? -4725726*i + 3 What is the h'th term of 288199, 288158, 288083, 287974, 287831, 287654? -17*h**2 + 10*h + 288206 What is the h'th term of -2476, -6557, -10650, -14761, -18896? -h**3 - 4074*h + 1599 What is the k'th term of -784, -1270, -1776, -2308, -2872, -3474, -4120? -k**3 - 4*k**2 - 467*k - 312 What is the b'th term of 41210, 82561, 123976, 165461, 207022, 248665? b**3 + 26*b**2 + 41266*b - 83 What is the d'th term of -123, -1588, -5569, -13326, -26119, -45208, -71853, -107314? -210*d**3 + 2*d**2 - d + 86 What is the d'th term of -1622, -9547, -28356, -62627, -116938? -763*d**3 - 864*d**2 + 8*d - 3 What is the c'th term of 58051077, 58051083, 58051093, 58051107, 58051125, 58051147? 2*c**2 + 58051075 What is the n'th term of -8970, -17876, -26802, -35754, -44738, -53760? -n**3 - 4*n**2 - 8887*n - 78 What is the i'th term of 172931, 344943, 516969, 689015, 861087, 1033191, 1205333, 1377519? i**3 + i**2 + 172002*i + 927 What is the k'th term of 2197, 4136, 6081, 8032, 9989? 3*k**2 + 1930*k + 264 What is the s'th term of 8563, 9492, 12015, 16930, 25035, 37128? 133*s**3 - s**2 + s + 8430 What is the i'th term of -7552, -15683, -23814, -31945, -40076, -48207? -8131*i + 579 What is the r'th term of -151414, -151503, -151592, -151681, -151770? -89*r - 151325 What is the c'th term of 58682775, 117365554, 176048333, 234731112, 293413891? 58682779*c - 4 What is the a'th term of -1219, -2488, -3799, -5152, -6547, -7984, -9463? -21*a**2 - 1206*a + 8 What is the c'th term of 51667, 51643, 51599, 51535, 51451, 51347? -10*c**2 + 6*c + 51671 What is the t'th term of -4674012, -9348043, -14022080, -18696123, -23370172? -3*t**2 - 4674022*t + 13 What is the j'th term of 21307, 42858, 64409, 85960, 107511? 21551*j - 244 What is the p'th term of 1900976, 1900952, 1900928, 1900904, 1900880, 1900856? -24*p + 1901000 What is the j'th term of 2251, 5400, 9451, 14404, 20259? 451*j**2 + 1796*j + 4 What is the l'th term of -4967, -10074, -15187, -20306, -25431, -30562, -35699? -3*l**2 - 5098*l + 134 What is the z'th term of -236, -915, -2390, -5021, -9168, -15191, -23450, -34305? -60*z**3 - 38*z**2 - 145*z + 7 What is the c'th term of -2476, -2427, -2334, -2197, -2016? 22*c**2 - 17*c - 2481 What is the r'th term of 12699, 12465, 12123, 11673, 11115, 10449? -54*r**2 - 72*r + 12825 What is the g'th term of -3553, -3636, -3759, -3922, -4125, -4368, -4651? -20*g**2 - 23*g - 3510 What is the l'th term of 6401, 12887, 19367, 25841, 32309? -3*l**2 + 6495*l - 91 What is the u'th term of -2456396, -4912786, -7369164, -9825530? 6*u**2 - 2456408*u + 6 What is the t'th term of -24411512, -48823022, -73234534, -97646048? -t**2 - 24411507*t - 4 What is the s'th term of 125903, 126344, 126785, 127226, 127667, 128108? 441*s + 125462 What is the r'th term of 3459208, 3459386, 3459554, 3459706, 3459836? -r**3 + r**2 + 182*r + 3459026 What is the y'th term of -33, 143, 463, 927, 1535, 2287? 72*y**2 - 40*y - 65 What is the a'th term of -101440, -101434, -101428, -101422, -101416, -101410? 6*a - 101446 What is the l'th term of -7278500, -14557010, -21835520, -29114030? -7278510*l + 10 What is the b'th term of 139164, 278339, 417510, 556677? -2*b**2 + 139181*b - 15 What is the d'th term of 625, 3943, 9535, 17401, 27541, 39955, 54643? 1137*d**2 - 93*d - 419 What is the g'th term of 82990, 83105, 83314, 83617, 84014? 47*g**2 - 26*g + 82969 What is the q'th term of 444618, 444238, 443858, 443478, 443098? -380*q + 444998 What is the f'th term of 44201, 44866, 45517, 46154? -7*f**2 + 686*f + 43522 What is the a'th term of 539, 1978, 4345, 7634, 11839, 16954, 22973, 29890? -a**3 + 470*a**2 + 36*a + 34 What is the d'th term of -224, -274, -324, -374, -424? -50*d - 174 What is the p'th term of -3573, -6369, -9169, -11973, -14781, -17593, -20409? -2*p**2 - 2790*p - 781 What is the w'th
{ "pile_set_name": "DM Mathematics" }
5 and 71/(4/(1*-2)). 32 Suppose 4*p = j - 7, 4*j - 5*j = p - 2. Let c = j + -4. What is the common denominator of 63/2 and c/(-2) - 51/20? 20 Suppose -4*g = -2*y + 16, -4*y + 0*g + 12 = -3*g. Suppose 2*z - 8*z + 108 = y. What is the lowest common multiple of 2 and z? 18 Let r(k) = -204*k + 11. Let l(c) = -41*c + 2. Let j(w) = -11*l(w) + 2*r(w). Let y be j(1). Suppose 4*q - y = -3. What is the lowest common multiple of 4 and q? 20 Let o = 289/60 + -37/5. Let u = 7333 - 44125/6. Calculate the common denominator of o and u. 12 Suppose 0*w + w - 4 = -3*i, 5*w + 10 = 0. What is the common denominator of (-46)/(-7) + (0 - i) and 11/6? 42 Suppose -2*w = -a - 21, 2*w - 3 - 3 = -4*a. Calculate the smallest common multiple of w and 18. 18 Let j = -1830 + 3735/2. Let b = 1990 + -21869/11. Find the common denominator of j and b. 22 Suppose 5*f + z - 223 = 0, -7*z + 4*z + 97 = 2*f. What is the least common multiple of f and 36? 396 Let w(b) = -b**2 + 13*b - 27. Calculate the lowest common multiple of w(6) and 9. 45 Find the common denominator of -1*5 + 5152/756 and 43/24. 216 Suppose 2*b - 3*v = 43, -3*b + v + 17 = -51. Suppose -4*j = j + 15. Find the common denominator of 3/20 and (j + 1)*b/(-12). 60 Let w = -753/77 - -73/11. What is the common denominator of w and -101/30? 210 Let k = 20/49 - 514/539. Find the common denominator of k and 36/5. 55 Let y = -137/2 - -67. What is the common denominator of y and -4? 2 Let t(m) = m. Let j be t(3). Suppose -r + j = 1. What is the smallest common multiple of 20 and r? 20 Suppose -30 = -3*h + 18. Calculate the lowest common multiple of 22 and h. 176 Suppose g = 3*g - 2. What is the smallest common multiple of g*-4*(-12 + 8) and 6? 48 Let s = 2/1061 + -51997/4244. Suppose 0*a - 9 = -3*a. Suppose 0 = a*d - 5*f + 56, 32 = -d + 3*f + 2*f. Calculate the common denominator of d and s. 4 Let a(o) = 881*o - 6. Let j be a(-3). Let s = j - -26467/10. What is the common denominator of ((-2)/(-4))/(1/83) and s? 10 Find the common denominator of 55/(-5)*(-4)/8 and 83/2*1 + 0. 2 Let f = -1207/104 - -198/13. Calculate the common denominator of f and -31/58. 232 Let c = 7 + 1. Suppose -67 = -4*m + 5*o - 21, -4*m = 2*o - 60. Let r = 36 - m. Calculate the lowest common multiple of c and r. 88 What is the common denominator of 40/48 - 221/276 and 81/20? 460 Calculate the common denominator of 15/54*(-21)/(-10) and 73/6. 12 Let a = -56 - -64. Calculate the smallest common multiple of 5 and a. 40 Suppose -2*b - 5*d = -2*d + 6170, -5*b + 5*d - 15400 = 0. Let m = b - -33936/11. Let z = m - 821/77. What is the common denominator of z and 29? 7 Let y(z) = -z**2 + 18*z - 2. Let s be y(18). Let b(i) be the third derivative of -7*i**4/24 + i**3/3 - i**2. What is the least common multiple of b(s) and 20? 80 Suppose 2*m - 29 = 19. Suppose m = 4*j - j. Suppose -j = -4*h + 16. Calculate the least common multiple of 20 and h. 60 Let f(o) = -25*o. Let w be f(-1). Suppose 0 = 2*t - 3*k - w, -5*k - 1 = -4*k. Calculate the least common multiple of 6 and t. 66 Let y = 743/7 + -6681/70. Calculate the common denominator of -18 and y. 10 Let d(o) = o + 9 + 0*o - 2*o. What is the least common multiple of d(7) and 16? 16 Suppose 5*s - 11 = -1. Let h be (-42)/(-6) + (-1 - 1). Suppose 0 = h*j - 5*a - 25, -2*a - 3 = 3. What is the lowest common multiple of j and s? 2 Let x(b) = -b + 5. Suppose -2*c = -3*c. Calculate the least common multiple of 7 and x(c). 35 Suppose 2*w - 5*h = 47, -5*w = -9*w + 2*h + 70. Calculate the lowest common multiple of 22 and w. 176 Let t(d) = 15*d**3 - 3*d - d**2 - 2 + 0 + 0 + 5*d. Let j be t(2). Calculate the common denominator of -2 - j*2/(-72) and 67/20. 180 What is the common denominator of -2/3 and 43/(-6) + 5 + -5? 6 Let z(i) be the third derivative of -i**4/8 - 2*i**3/3 + 2*i**2. What is the smallest common multiple of 44/7 - 10/35 and z(-4)? 24 Let k = -47 - -69. Let x(a) be the third derivative of a**4/4 - 7*a**3/3 - 4*a**2. Calculate the smallest common multiple of k and x(4). 110 Suppose -g + 2*d = -2*d + 14, -g + d = -1. Calculate the smallest common multiple of g and 30. 30 Suppose 5 - 93 = -2*s. Let p(o) = -o**3 + 9*o**2 + 10*o + 12. Let b = -12 - -22. Calculate the common denominator of p(b) and s. 1 Suppose -3*s - 4*m = -10, 4*m + 6 = -4*s + 26. Let o(y) = 3*y**2 - 10*y + 5. Calculate the least common multiple of s and o(5). 30 Suppose -2*u = -10, 15 = -3*o - 2*u - 5. What is the least common multiple of 13 and 6/(-15) + (-14)/o? 13 Suppose 4*x + 246 = 4*s + 1022, -776 = 4*s + 4*x. Calculate the common denominator of -7/8 and s/16*(-14 + 10). 8 Suppose 3 = -c + 2*c. Let k be -2 + 2 + -1 + c. Suppose -3*l + 3*j = 0, l - 1 = 2*l - k*j. What is the lowest common multiple of 5 and l? 5 What is the lowest common multiple of 6 and 400/22 - (-6)/(-33)? 18 Find the common denominator of 59/46 and 1/16*(-765)/9. 368 Let m(o) be the second derivative of 4*o**3/3 - o**2/2 - 2*o. Let x be m(1). Suppose x = v - 3. What is the least common multiple of v and 11? 110 Calculate the common denominator of (10/(-20))/((-11)/(-8)) and -61/16. 176 Find the common denominator of -9/14 and (-4)/((-160)/588) - 4. 70 Let h(c) = c**2 - 190. Let f be h(0). Let j = -675/4 - f. Let q = j + -25/2. What is the common denominator of q and -42/5? 20 What is the common denominator of -79/4 and ((-3)/(-2))/((-114)/16)? 76 Suppose -129 = -5*j + 3*k, -5*j + j + 5*k + 111 = 0. Find the common denominator of 29/9 and (32/j)/((-3)/(-14)). 9 Let u = 123 + -119. What is the smallest common multiple of u and 16? 16 Let z = 366/35 + -62/7. Let i be (-2)/1 + 2320/3. Let u = i + -779. Calculate the common denominator of u and z. 15 What is the common denominator of -125/18 and 4124/168 - (-2)/7? 18 Let a = 46 - 43. What is the smallest common multiple of a and 21? 21 Let n = 311/26 - 58/13. Calculate the common denominator of 67/16 and n. 16 Calculate the common denominator of (-2)/3*(-755)/(-40) and 316/(-12)*6/40. 60 Suppose -3 = -3*o + 3. Suppose 0 = k - 8 - o. What is the lowest common multiple of 0 + 1 - (-6)/2 and k? 20 Suppose -2*j - 9 = 11. What is the common denominator of 1532/120 - 4/j and 1/14? 42 Suppose -24 = -q + 2*q. Find the common denominator of (-3)/(-9)*654/q and -25/2. 12 Let z(h) = h**2 - 7*h - 13. Let a be z(9). Let s = 0 + a. Calculate the lowest common multiple of 6 and s. 30 Let g = 30 + -16/3. Let u = -1/545 + 3823/4360. Find the common denominator of u and g. 24 Let i(s) = s + 2. Suppose -3*r - 2 = -14. Let b(g) = 2*g + 3. Let q(f) = r*i(f) - 3*b(f). Calculate the least common multiple of q(-3) and 9. 45 Let z(j) = -j**2 + 12*j + 9. Let r be z(9). What is the common denominator of (-322)/r + (-8)/(-12) and 7/12? 36 Let y be 9 - (1 - (-2 + 2)). Calculate the smallest common multiple of (y/(-10))/(12/(-270)) and 14. 126 What is the common denominator of -2*5/(-270)*714/(-4) and -39/62? 558 Let m = 183/5674 - -6300842/400017. Let g = 65/47 + m. Find the common denominator of g and 93/16. 48 Let v(a) = -4 - 3*a**2 - 2*a**2 + a**2 - 3*a + a**3. Calculate the lowest common multiple of v(5) and 10. 30 Let k = 4 + -2. Suppose -12 = -k*r - 2*q, 4*r = 3*q + 5 + 33. Calculate the lowest common multiple of 16 and r. 16 Let f = 137/9 + -7. Let o = 178478/139 + -1284. Let m = -1956/695 + o. Calculate the common denominator of m and f. 45 Let y be 21/49 - (-1323909)/(-273658). Let g = y - -2/12439. What is the common denominator of g and 97/8? 88 Let z = -1/1143 + 4193/2286. Let j = -270 - -3247/12. Find the common denominator of j and z. 12 Suppose 0 = 2*u + 4 - 10. What is the lowest common multiple of u and 5? 15 Let t be (-1492)/28 + (-2)/(-7). Calculate the common denominator of -53/5 and -4 + 4 - t/(-3). 15 Suppose 3*y - 33 = -3*s - 2*y, 0 = -y + 3. Suppose -s = -t - 2*t. Calculate the common denominator of 27 and t/(-5) + 3/2. 10 Let t(c) = -c**3 + 7*c**2 + 18*c + 24. What is the least common multiple of 4 and t(9)? 24 Let i(a) = 2*a**3 - 2*a**2 - 8*a + 4. Let c = -1 + 3. Suppose -c*f - 3 = -7. What is the least common multiple of f and i(3)? 16 What is the common denominator of 73/36 and 1 + -4 - (1 - (-116)/12)? 36 Let q be 4/10 - 662721/90. Let t = q - -7345. Calculate the common denominator of t and -85/2. 6 Suppose 6*q - 56 = 2*q.
{ "pile_set_name": "DM Mathematics" }
places? 0.0000029 Suppose 4*r + 737 = y, 4*y + 163 = -6*r + 5*r. Let c = r - -522. What is c rounded to the nearest 10? 340 Let k(b) = -76489*b - 1276. Let i be k(16). What is i rounded to the nearest one hundred thousand? -1200000 Let f = 633.999999457 - 634. What is f rounded to 7 dps? -0.0000005 Let f = -74.039 + 74. Let q = 0.0035 + f. Let s = q - -0.034. Round s to four decimal places. -0.0015 Let l = -211.45 + 37.35. Let p = l + 164. Round p to the nearest integer. -10 Suppose -4*z + 7*p + 57 = 0, -p + 39 = 3*z - 5*p. Suppose 0 = -4*n + 1 - z, -5*q - 456999998 = -n. Round q to the nearest 1000000. -91000000 Let v be 9 + (-8 - (-3)/1) - 269445131. Let a = v - -143245127. What is a rounded to the nearest one million? -126000000 Let n = -54.677 + 281.447. What is n rounded to the nearest ten? 230 Let n = -278 - -277.99996726. Round n to six dps. -0.000033 Let i = 914 + 9770. Round i to the nearest 100. 10700 Let p = 1693 + -1693.82. What is p rounded to the nearest integer? -1 Suppose -87*h + 72*h = 839250. Let x be (h/(-35))/(1/(-35)). What is x rounded to the nearest ten thousand? -60000 Let t be (108/(-24))/(5/52590). Let p = t + 16931. What is p rounded to the nearest 10000? -30000 Let c = 0.38 - 0.3799992938. What is c rounded to 7 dps? 0.0000007 Let w = 12.03 + 0.87. Let r = w + 311.1. Let o = 323.9999699 - r. Round o to six dps. -0.00003 Suppose -294*j + 250*j - 875424000 = 0. What is j rounded to the nearest 100000? -19900000 Let p = -27.9 - -27.92885. Round p to two dps. 0.03 Let m = -49.2 + -0.8. Let q = 183118.0108 + -183068. Let u = m + q. Round u to three dps. 0.011 Let i = -14.531 + 15.101. Let k = 1205.4522 - 1206. Let n = i + k. Round n to 2 decimal places. 0.02 Let n = -345.19 - -345.18983762. What is n rounded to 5 decimal places? -0.00016 Let k = -126.255 + 126.255051437. What is k rounded to 5 decimal places? 0.00005 Let l = 2783 - 2783.10736. What is l rounded to two dps? -0.11 Let c = -87.79 - 0.21. Let n = -88.00424 - c. What is n rounded to 3 decimal places? -0.004 Let o = -0.3605 + 0.2256. Let y = o - -0.12869. Round y to 3 decimal places. -0.006 Let u(a) = 9*a - 7*a**2 - 2*a**3 + 2*a**2 + a + 28. Suppose -2*i = -7*i + 2*j + 60, -5*j = -3*i + 17. Let l be u(i). Round l to the nearest one thousand. -6000 Let p = -0.2406051 - -0.24472. Round p to 3 dps. 0.004 Let a = -41018562.275000257 - -41018561.9. Let p = -62 + 62.375. Let z = p + a. What is z rounded to 7 decimal places? -0.0000003 Let n = -136879 + -19974. Let p = n + 156852.9810406. Let v = 0.019 + p. Round v to five dps. 0.00004 Let i be ((2 - 0 - 5)*-1)/1. Suppose -8480012 = 4*u + i*b, 5*u - 4*b + 0*b + 10599984 = 0. What is u rounded to the nearest 1000000? -2000000 Let z = -10740.6543 - -10743. What is z rounded to 0 dps? 2 Let w = -0.43 - -180.43. Let s = -155 - w. Let r = s - -334.729. What is r rounded to 2 decimal places? -0.27 Let o = -1 + -19. Let y be 7492*(o/8)/(-5). Let m = y + -2346. Round m to the nearest one hundred. 1400 Suppose 4*l - 20 = 8. Suppose -112*x + 18 = 2*q - 115*x, -5*q - 5*x - 30 = 0. Suppose -l*n + 6*n = q. Round n to 5 dps. 0 Let k = -114.67 + 114.67009909. What is k rounded to 6 dps? 0.000099 Suppose -11*y + 15*y = 0. Suppose 0 = -11*f - y*f - 2145000. Round f to the nearest ten thousand. -200000 Let c = -73 - -171. Let k = 14 + c. What is k rounded to the nearest one hundred? 100 Let b = -0.355 + 0.1632. Let k = -0.107 - b. What is k rounded to 3 dps? 0.085 Suppose -4*z + 5*s - 2*s = 252783979, -4*z - 4*s - 252784028 = 0. What is z rounded to the nearest 1000000? -63000000 Let p = -11.164 - 1.446. Let c = 12.61797 + p. Round c to 4 decimal places. 0.008 Let r = 666 - 256. Let f = r + -413.74. Round f to 1 dp. -3.7 Let d be (120/14)/(52/(-2002)). Let f = 221 + d. Round f to the nearest one hundred. -100 Let y = -0.028065 - -0.028030841. What is y rounded to seven decimal places? -0.0000342 Let n = -147.85 + 134. Let a = n + 14. Let s = -0.149974 + a. Round s to 6 dps. 0.000026 Let z = 680 + -272. Let h = z + -271. Let x = h + -137.0000162. What is x rounded to six dps? -0.000016 Suppose -3*z + 20350 = -238313. Suppose 18*b = 21*b - 169563. Let k = b - z. What is k rounded to the nearest 1000? -30000 Suppose -477275 = -s - 5*n, -2*s - 2*n = -622976 - 331614. Round s to the nearest one hundred thousand. 500000 Let g = 8004 + -8004.015015. What is g rounded to 4 decimal places? -0.015 Let h = 65 - 66. Let t = h - -0.9701. What is t rounded to 3 decimal places? -0.03 Let k = 0.04253 - 0.0425302125. What is k rounded to seven decimal places? -0.0000002 Let a = 39596.154 - 39564. What is a rounded to 1 dp? 32.2 Let t = -45.618448 - -45.63. What is t rounded to 3 decimal places? 0.012 Let q be ((-813)/(-4))/(6/16512). Suppose -4*o = -r + q, 4*o - 2*r = -616903 + 57555. Let d = 319835 + o. What is d rounded to the nearest ten thousand? 180000 Let x = -166928231868.000000562 + 166928231536. Let h = 332 + x. What is h rounded to seven decimal places? -0.0000006 Let d = -369.9064 - -370. Let w = d + -0.10071. Round w to 3 dps. -0.007 Let t be 2/(-5) + (-1640)/(-100). Let o(u) = 10565*u - 40. Let d(v) = -84520*v + 320. Let w(m) = 3*d(m) + 25*o(m). Let g be w(t). Round g to the nearest 100000. 200000 Let o = -118.947 - -126.02. Let v = o + -0.073. Let m = v + -6.9999998. What is m rounded to six decimal places? 0 Let a = 0.04 - -6.86. Let y = a + -6.8999994. What is y rounded to six dps? 0.000001 Let u(g) = -83*g - 13. Let l(v) = 41*v + 7. Let n(d) = 14*l(d) + 6*u(d). Suppose -30*i - 980 = 68*i. Let c be n(i). Round c to the nearest one hundred. -700 Suppose 0 = -2*w - 3*w + 1350. Let u(f) = f**2 - 3*f + 4. Let o be u(0). Let v be (-3)/(-2) - w/o. What is v rounded to the nearest one hundred? -100 Let u(s) = s. Let y(r) = 2596000*r. Let a(g) = -616000*u(g) - 4*y(g). Let t be a(-1). Suppose -2*c - 3*c = -t. Round c to the nearest one million. 2000000 Let x = 3.26 - 205.26. Let g = x + 202.000174. Round g to 4 dps. 0.0002 Let z be 143*3613 - (6 + 8 + -5). What is z rounded to the nearest 100000? 500000 Let n = -4347.2 + 4735.69. What is n rounded to the nearest 10? 390 Let f = -0.4484 - -0.6152. What is f rounded to two decimal places? 0.17 Let t be (194061 - (0 - -7)) + -4. Round t to the nearest one hundred thousand. 200000 Let k = 23004 + -23004.022178. Round k to 3 dps. -0.022 Let s(k) = 3066084*k - 1740. Let o(y) = -340676*y + 194. Let b(c) = 28*o(c) + 3*s(c). Let z be b(-13). What is z rounded to the nearest 1000000? 4000000 Let z = -159.7 - 556.3. Let r = -715.9527 - z. What is r rounded to three decimal places? 0.047 Let j = -0.913 + 96.513. Let x = j + -95.600854. Round x to four dps. -0.0009 Let v = 9 - 7. Suppose 559975 = d - 5*x, 5*x = 5*d - 1364646 - 1435329. Suppose 0 = -v*l - 5*l + d. Round l to the nearest 100000. 100000 Let u = -7758189.999918 + 7758204. Let z = 74.1 - 60.1. Let r = u - z. What is r rounded to five decimal places? 0.00008 Let k = 0.34 - -0.09. Let w = k + -19.43. Let r = w + 19.00000112. What is r rounded to seven decimal places? 0.0000011 Let t = 5.3786 + -0.0686. Let z = -0.51 + t. Let a = 12.1 - z. Round a to the nearest 10. 10 Suppose -5*r = 24*r + 3553933 - 297523. What is r rounded to the nearest ten thousand? -110000 Let p = -1585.6 - -1602.446. What is p rounded to zero dps? 17 Let m = -631.7823 + 483.78171. Let b = -138.93 - 9.07. Let f = m - b. What is f rounded to four decimal places? -0.0006 Let l be (-344)/(1212741/(-86625) - -14). What is l rounded to the nearest 100000? -3300000 Let o = -41 - -64. Suppose o*y - 26*y = -134080356. Let s = 12693452 - y. Round s to the nearest one million. -32000000 Let j = -12692 + 12692.0000001355. What is j rounded to six dps? 0 Let q = -4.2836 - 0.2278. Round q to the nearest integer. -5 Let h(a) = 1390551*a + 34. Let p be h(10). Let f = 9504587 - -22000957. Let n = f - p. What is n rounded to the nearest one million? 18000000 Let y(o) = -339 - 7*o - 456*o**3 - 4*o**2 - o**2 + 349. Let f be y(5). Let x = f + -282850. Round x to the nearest one hundred thousand. -300000 Let q be 8/(1*(-4)/6046) + -4. Let z = q - -7036. What is z rounded to the nearest 1000? -5000 Suppose -70 = -3*m + 56. Let c be (-12)/28 + 9972/m + 0. What is c rounded to the nearest ten?
{ "pile_set_name": "DM Mathematics" }
sqrt(200) + sqrt(200)))**2). -174714 + 25920*sqrt(2) Simplify (-2 + (sqrt(77) - (sqrt(77) - 4*-3*sqrt(77)))/((-4*sqrt(70))/sqrt(10)))**2. -12*sqrt(11) + 103 Simplify 0 + -3 + (3 + -1*sqrt(1300))**2*6. -360*sqrt(13) + 7851 Simplify 1 + ((3 + (sqrt(75) - 1*sqrt(75) - sqrt(75)) + -3)**2 - (-3 + -1 + sqrt(75) + sqrt(75) + sqrt(75))**2*-1). -120*sqrt(3) + 767 Simplify 6*6*(-2 + (sqrt(1584) + 1 + sqrt(1584))**2)*5. 8640*sqrt(11) + 1140300 Simplify (sqrt(2560)*2)/(sqrt(48)/(sqrt(486) - sqrt(6))). 128*sqrt(5) Simplify (sqrt(1568) + -2*sqrt(1568) - (sqrt(512) + -1*sqrt(512)))**2 + sqrt(100)/(sqrt(2)*1)*-2. -10*sqrt(2) + 1568 Simplify (-2*1*(-2*(sqrt(1331)*1 - sqrt(1331)) + 2))**2. 16 Simplify (sqrt(117)/(sqrt(729)*2 + sqrt(729)) - (2 + (sqrt(13) - (sqrt(13) - (sqrt(13) + -1))**2) + (-1*sqrt(65))/sqrt(5))) + 3. sqrt(13)/27 + 2 Simplify 1*(-5 + sqrt(2) + (-5*sqrt(2) - sqrt(2)) + 4 + (-3 + sqrt(2))*-3)**2. -128*sqrt(2) + 192 Simplify (-1*(1*sqrt(180) - sqrt(180)) - sqrt(180))/(sqrt(24)/(sqrt(486)*-1 - sqrt(486) - sqrt(6))). 57*sqrt(5) Simplify ((sqrt(3146) + sqrt(3146) + 1*sqrt(3146) - sqrt(3146)) + sqrt(3146))/(sqrt(12)/(sqrt(54)/sqrt(9))). 33*sqrt(13) Simplify -3 + sqrt(14)/sqrt(2) + sqrt(7) + 4 - (-4*(sqrt(7) + -1 + 1))**2. -111 + 2*sqrt(7) Simplify (2 + sqrt(704) + 0 - (-4*sqrt(704) + -1))**2. 240*sqrt(11) + 17609 Simplify (-6*((sqrt(7) - sqrt(252)*-1) + sqrt(63) + sqrt(7) + 1) + -5)**2. 1452*sqrt(7) + 30613 Simplify (5*(sqrt(88) - -5*sqrt(88)) - sqrt(88))/(3*sqrt(8)*-6). -29*sqrt(11)/18 Simplify 2 + (sqrt(99) - (sqrt(99) + 6*((-1*sqrt(99) - sqrt(99)) + sqrt(99))))/(sqrt(36)*-5) + -1 + 1. -3*sqrt(11)/5 + 2 Simplify 4*(sqrt(54)/sqrt(3) + 4 - (1*sqrt(2) + -1)*-3). 4 + 24*sqrt(2) Simplify -2*-2*(sqrt(2057) + (2*sqrt(2057) - sqrt(2057))*-2)**2 + -1. 8227 Simplify 2*((sqrt(51)/(sqrt(300)*2 + sqrt(300) + sqrt(3) + sqrt(3)))**2 + -2*(sqrt(17) - -3*sqrt(51)/sqrt(3))). -16*sqrt(17) + 17/512 Simplify 0 + (3*(-2 + sqrt(1100) + sqrt(1100) + (sqrt(1100) - (1 + sqrt(1100)))*-4 + -2))**2. 39600 Simplify -4*(1*sqrt(432)*1 - (sqrt(432) + (sqrt(432) - ((sqrt(432) - (1 + sqrt(432))) + sqrt(432)) - sqrt(432)))*4)*6*5. -1440*sqrt(3) + 480 Simplify -3*3*-1*(-4 + 4*(sqrt(1700) + 2*sqrt(1700))). -36 + 1080*sqrt(17) Simplify ((2 + sqrt(175) + 1 - (sqrt(175) + -1)*-3)*3)**2. 25200 Simplify (-4 + 2 + sqrt(396) - 1*(sqrt(704) + 1*sqrt(704)))**2. 40*sqrt(11) + 1104 Simplify (3 + 4*(sqrt(88)*-1)/sqrt(11)*4)**2. -192*sqrt(2) + 2057 Simplify (sqrt(300) - (-6*sqrt(300)*2 - sqrt(300)))**2*2 - ((-1*sqrt(300) + -2 + sqrt(300))*2)**2. 117584 Simplify (-1*(sqrt(275) + -5 - sqrt(275)) - (-1 + sqrt(704)*4))**2. -384*sqrt(11) + 11300 Simplify ((sqrt(68) + 6*(sqrt(68) + sqrt(68) + sqrt(68)*3))*-1)/(sqrt(32)/(sqrt(24)/(sqrt(6)/sqrt(2)))). -31*sqrt(17) Simplify 6*(-5 + (2 + sqrt(108)*1 - sqrt(108)) + 0)**2 + 0. 54 Simplify (1*sqrt(500))**2*-6 - (-2 + sqrt(5) + -3 + 5). -3000 - sqrt(5) Simplify ((sqrt(7488)*1 + sqrt(7488) - sqrt(7488))/(sqrt(144)*-1))**2 - (sqrt(468)*1 - (sqrt(1300)*3 - sqrt(13))). 52 + 23*sqrt(13) Simplify ((-1*sqrt(108) - sqrt(12))/sqrt(4))**2 + sqrt(24)/(sqrt(8)*-2)*-1. sqrt(3)/2 + 48 Simplify 3*-4*((sqrt(448) - sqrt(448)*-1)*-2 + (sqrt(448) - ((sqrt(448)*2 + sqrt(448) + sqrt(448))*-1 - sqrt(448))))**2*-1. 21504 Simplify 4*((sqrt(405) - (1*sqrt(405) - sqrt(405)))/sqrt(9))/((sqrt(9)*-3 + sqrt(9))*-3). 2*sqrt(5)/3 Simplify -1*sqrt(242) + 0 + (sqrt(32))**2 + 1 + (sqrt(72)*-2)**2. -11*sqrt(2) + 321 Simplify -1 + -4*(((sqrt(931) + -2)*3 + sqrt(931))**2 + -2). -59721 + 1344*sqrt(19) Simplify (((sqrt(48)/sqrt(2))/sqrt(12)*2 - sqrt(128)*-2)*-2)**2 + 3. 2595 Simplify 0 + (sqrt(832) - -1*sqrt(832))*1*-6. -96*sqrt(13) Simplify (2*sqrt(49)*6 - ((sqrt(98)*-2)/sqrt(2) - sqrt(49)))/(sqrt(70)/(sqrt(60)/sqrt(6)*-2)). -30*sqrt(7) Simplify ((sqrt(1216) + -1 + -2 - (sqrt(1216) + 1 + -4)) + 2)**2. 4 Simplify (1*5*(1 + (6*(sqrt(1872) - (-1 + sqrt(1872))) - sqrt(1872)) + sqrt(1872)))**2. 1225 Simplify (sqrt(49) + (sqrt(196)/(sqrt(16)/sqrt(4)) - sqrt(49)) + sqrt(245)/(sqrt(5)*1))/(-2*sqrt(21)/sqrt(3)*-6). sqrt(7)/6 Simplify (5*(sqrt(60) + sqrt(120)/sqrt(2)))/(sqrt(192)*-2) - ((sqrt(245) + (sqrt(245) - (sqrt(245) + -1)) - sqrt(245))*4)**2*-4. -5*sqrt(5)/4 + 64 Simplify (4*sqrt(1764))/(sqrt(12)*-5*-2). 14*sqrt(3)/5 Simplify sqrt(96)/(sqrt(2)*1) - (2*sqrt(72)/sqrt(6))**2. -48 + 4*sqrt(3) Simplify ((1*sqrt(364))/sqrt(7) + sqrt(52) + -5*-1*sqrt(52))/(sqrt(16)/(sqrt(32)/sqrt(72))) + 2. 2 + 7*sqrt(13)/3 Simplify ((sqrt(66) - (1*sqrt(66)*-4 + sqrt(66) + sqrt(66))) + sqrt(66) + sqrt(66) + -1*sqrt(66)*1)/(3*(sqrt(216)*-2 + sqrt(6))). -4*sqrt(11)/33 Simplify (-1*(sqrt(320) + 0) + -3 + 4)**2. -16*sqrt(5) + 321 Simplify (2*sqrt(20) + 1)**2 + (sqrt(5) - (((sqrt(5)*-1 + 0 - sqrt(5)) + sqrt(5))**2 + sqrt(5))) + sqrt(5) + 1 + sqrt(5) + 0. 10*sqrt(5) + 77 Simplify (sqrt(4400)*-4 - sqrt(4400) - sqrt(44))/(sqrt(256) + -3*sqrt(256)). 51*sqrt(11)/16 Simplify (3 + 4 + -5 + 2*sqrt(833) + 5 + -5)**2. 56*sqrt(17) + 3336 Simplify (sqrt(320)/(sqrt(8)*-1) + (sqrt(240) + (sqrt(240) - 1*sqrt(240)))/sqrt(6))/((1*sqrt(48) + sqrt(48))/sqrt(6) + 5*sqrt(72)). 0 Simplify ((-2 + -5*sqrt(153))*1*1)**2 + 3. 60*sqrt(17) + 3832 Simplify (((-1*sqrt(572) - sqrt(572))*-4 + sqrt(572) - sqrt(572))/(sqrt(704)*2) + -4)**2. -8*sqrt(13) + 29 Simplify (4*(sqrt(567)*-2 + -3 + (-2 + sqrt(567) + sqrt(567) + (sqrt(567) - -2*sqrt(567)) - sqrt(567) - sqrt(567)))*6 + 3)**2. -50544*sqrt(7) + 340281 Simplify ((-3 + (-1 + sqrt(363) + sqrt(363) - sqrt(363) - sqrt(363)))**2 - ((1*sqrt(12))**2 + -5 + sqrt(3) + sqrt(48)))*1. -5*sqrt(3) + 9 Simplify (-2 + 6*(-4 + 4*sqrt(2057) + 1*sqrt(2057)*-3))**2. -3432*sqrt(17) + 74728 Simplify 3*1*-1*(-3*(sqrt(832) + 1) + (sqrt(832) - (-3 + -1 + sqrt(832) + sqrt(832)))**2). -2535 + 264*sqrt(13) Simplify -4*6*((sqrt(68) - (0 + sqrt(68) + 2))**2 - ((sqrt(68)*-1 + sqrt(68))**2 + 1)). -72 Simplify (5 + (5 + (sqrt(175) - (2 + sqrt(175))))**2 + sqrt(175) + 2 + sqrt(175) + -2)*5. 70 + 50*sqrt(7) Simplify (sqrt(297)/(sqrt(81)*-2))/(sqrt(27)/(-1*sqrt(729) - sqrt(729))). 3*sqrt(11) Simplify (((-2 + sqrt(2299))*-3 + -1*sqrt(2299)*1)*-5)**2. -13200*sqrt(19) + 920500 Simplify 1 + (1 + -4 + -3 + 2 + sqrt(2057))**2. -88*sqrt(17) + 2074 Simplify -3 + (sqrt(343) - 2*sqrt(343) - (sqrt(7) + sqrt(567)*-1))**2 + 1. 5 Simplify (sqrt(168)/sqrt(64))/((sqrt(486)*-2 - sqrt(486)) + sqrt(486) - sqrt(6) - sqrt(6)). -sqrt(7)/80 Simplify sqrt(68)/(-1*sqrt(576)) + (sqrt(34)/sqrt(2)*2)**2*4. -sqrt(17)/12 + 272 Simplify (4*sqrt(144))/(sqrt(3) + (sqrt(75) - -2*sqrt(75))). sqrt(3) Simplify 3 + sqrt(5) + (2*sqrt(5) - sqrt(5)) + -5 - (-3 + -3*-2*sqrt(5)). -4*sqrt(5) + 1 Simplify ((1*sqrt(7) - sqrt(7)) + -1 + (sqrt(63) + -1 + sqrt(63) - sqrt(7))**2 - (sqrt(14)/sqrt(2)*2 + ((1*sqrt(49) + sqrt(49))/sqrt(7))**2)) + 3. -12*sqrt(7) + 150 Simplify (sqrt(117) - (sqrt(117) - sqrt(117)*-5*3))/(5*(sqrt(9)*3 - sqrt(9))). -3*sqrt(13)/2 Simplify (6*(sqrt(100) - 1*sqrt(100) - sqrt(100))/sqrt(5))/(-3*-1*sqrt(250)). -2*sqrt(2)/5 Simplify -2 + ((sqrt(7)*5 + 2)*-4)**2 + -4 + -2 + sqrt(343). 327*sqrt(7) + 2856 Simplify (-5 + ((sqrt(170) - 2*sqrt(170))*-3 - sqrt(170))/(sqrt(1210)*1))**2 + 1. -20*sqrt(17)/11 + 3214/121 Simplify ((sqrt(121)*2*-4)/(sqrt(176)*1))**2 - ((-1 + sqrt(275))*5 - (-1 + (sqrt(275)*1 - sqrt(275)) + sqrt(275)))**2. -4372 + 160*sqrt(11) Simplify -1 + sqrt(1539) + -2 - 4*(sqrt(1539) + -2). -27*sqrt(19) + 5 Simplify ((1 + sqrt(242)*1*-3 + 6*(sqrt(242)*-2 - sqrt(242)))*-6)**2. -16632*sqrt(2) + 3842028 Simplify (sqrt(60)/(-2*sqrt(250) + sqrt(10)))/(sqrt(2)*-1*-4*-4). sqrt(3)/144 Simplify -3*(-5 + (sqrt(5) - (-2 + sqrt(180)) - sqrt(5)) - (5 + sqrt(10)/sqrt(2) + -5*-1*sqrt(5))). 24 + 36*sqrt(5) Simplify -5*((5*(sqrt(2448)*-1 - sqrt(2448))*6*-3)**2 + 0). -396576000 Simplify -1 + (-3 + sqrt(147) + 3*1*sqrt(147))**2 + (2*(1*sqrt(147)*6 - sqrt(147)))**2. -168*sqrt(3) + 17060 Simplify 1*(4 + 2 + sqrt(70)/sqrt(90) + 3)**2. 6*sqrt(7) + 736/9 Simplify (sqrt(456)/(sqrt(12) + sqrt(108)))/sqrt(2) + (sqrt(931)*1 + -2)**2. -111*sqrt(19)/4 + 935 Simplify (4*sqrt(153)*-1 + 3*(-1*sqrt(153) + sqrt(153)))/(4*(sqrt(81)*2 - sqrt(81))/sqrt(9)). -sqrt(17) Simplify (sqrt(36)/(2*sqrt(294)))/(sqrt(8)*-1 - sqrt(32)*-3). sqrt(3)/140 Simplify (6*sqrt(1053)*-4 - ((sqrt(104)*1)/sqrt(8) + sqrt(13)
{ "pile_set_name": "DM Mathematics" }
333 = -141. Let z be (-53 - -1)*(-4)/4. Suppose 0 = -3*k - 5*q + 81, 5*k = 3*k - 4*q + z. Calculate the greatest common factor of k and h. 16 Let n be (2 - (-10)/(-4))*-132. What is the highest common divisor of 6 and n? 6 Suppose -3*c + 403 = 2*l - 108, -3*c + 512 = l. Calculate the greatest common divisor of 19 and c. 19 Let h be -9*(0 + (-15)/9). Suppose 4*t - 15 = 4*k + 5, -3*k = -4*t + 17. Let x(z) = 69*z - 3. Let v be x(t). Calculate the greatest common divisor of h and v. 15 Suppose 4*f - 24 = 12. What is the greatest common factor of f and 18? 9 Suppose 257 = 3*n + 32. Suppose -9*g + 4*g = -n. What is the greatest common factor of g and 60? 15 Let z(r) = 2*r**2 - 3*r + 1. Let n be z(3). What is the highest common divisor of n and 2? 2 Suppose -5*g + 2*a = -412, 5*g - 16*a + 11*a = 400. Suppose 0 = 5*o + 5*z - 95, 2*o + 2*z = 3*o - 25. Calculate the highest common factor of o and g. 21 Suppose 0*l - 5 = -l. Let z = l + 0. Calculate the greatest common divisor of z and 2. 1 Let c be (-2)/(-2)*-1*21. Let o = c + 30. Suppose 0 = -5*h - 3*y - o + 30, -5*h + 4*y + 42 = 0. Calculate the highest common factor of h and 54. 6 Suppose 0 = 4*x - 0*y + 5*y - 292, -5*x = -4*y - 406. Suppose 13*j - 880 + 204 = 0. Calculate the greatest common divisor of x and j. 26 Let l be 80*(1 + 2/10). Let k(d) = -d**3 - 4*d**2 - 3*d. Let u be k(-4). Calculate the highest common factor of u and l. 12 Let d = 49 - 31. Let o = 14 - 8. Calculate the greatest common factor of d and o. 6 Suppose p = -4*p + 30. Let r = 14 + p. Calculate the greatest common factor of r and 8. 4 Let m(l) = -3*l + 3. Let p be m(-7). Suppose 7*z - 33 = 23. Calculate the highest common factor of p and z. 8 Suppose 544 = -0*z + 5*z - 3*q, 4*z = q + 438. Calculate the greatest common divisor of 22 and z. 22 Let d be 1 + 3 + 4 + 24. Calculate the greatest common divisor of 16 and d. 16 Let b(y) = y**2 - 6*y + 1. Let n be b(6). Suppose 0 = 3*l + 14 - 20. What is the greatest common factor of n and l? 1 Suppose -5*h + 1140 = -h. Let f(b) = 53*b**2 - 2*b + 5. Let g be f(4). Suppose 5*q + h = g. What is the greatest common factor of 14 and q? 14 Suppose a - 522 = -3*j - 178, -1704 = -5*a + j. What is the highest common factor of 31 and a? 31 Let g be -2 - (-3)/(6/8). Let u(r) = 1 + 8*r**2 - 5 + 1 + 4 + r**3. Let d be u(-8). Calculate the highest common divisor of d and g. 1 Suppose u = -u + 30. Suppose 3*n - 63 - 36 = 0. Let z = u + n. What is the highest common divisor of 6 and z? 6 Let p(v) = -v**3 + 7*v**2 + v - 5. Let k be p(7). Let h(c) = 3*c - k*c**2 + 3*c + 4*c**2 - 5. Let l be h(-5). What is the greatest common divisor of l and 3? 3 Let t(d) be the second derivative of 7*d**4/6 - 2*d**3/3 + 3*d**2/2 - 3*d. Let b = -5 - -7. Let z be t(b). Calculate the highest common factor of 17 and z. 17 Let m(u) = -u**3 + 4*u**2 + u + 5. Let o be m(4). Let p be ((-11)/1)/(o/(-144)). Calculate the greatest common divisor of p and 22. 22 Suppose -3*s + 3*q = 7*q - 33, -2 = s - 3*q. What is the greatest common factor of s and 56? 7 Suppose 0 = -2*m - 2*m. Suppose s + 16 + 29 = m. Let t = s - -66. Calculate the greatest common factor of 14 and t. 7 Let p(a) = -8*a + 2. Suppose 3*y = 4*y + 3. Let w be p(y). What is the highest common factor of 39 and w? 13 Suppose -3*a + 1 + 2 = r, -4*r = -5*a - 97. Let v be 12*((-18)/(-8))/3. What is the greatest common factor of r and v? 9 Let k be ((-3)/(-1))/(-3) + -5. Let f = 12 + k. What is the greatest common factor of f and 60? 6 Suppose 5*q - 3*n = -5*n - 56, -5*q - 44 = -2*n. Let i = q + 16. Calculate the greatest common factor of 3 and i. 3 Let f(k) = 11*k**2 - 1. Let w be f(-1). Calculate the highest common factor of w and 50. 10 Let t = -159 + 94. Let d = t - -281. Suppose 0*j + 3*j = d. What is the greatest common divisor of j and 9? 9 Suppose -2*v + 39 = -81. What is the highest common factor of 48 and v? 12 Let h(c) = c**3 + c**2 + 11. Let o be h(0). Let x be 2/(-2)*1 - -45. Calculate the highest common factor of x and o. 11 Suppose 42*p - 40*p - 20 = 0. Calculate the greatest common divisor of 10 and p. 10 Let i(x) = -x + 7. Let v be (-3 - 0) + 3 - -4. Let q be i(v). Calculate the greatest common factor of 6 and q. 3 Suppose 3*a - 2*a - 49 = 0. Calculate the greatest common factor of 7 and a. 7 Let j = 0 + 1. Let m be j/(2 + (-117)/60). What is the greatest common factor of m and 5? 5 Suppose 0 = o - 5*v - 10, v + 4 - 3 = 0. Calculate the greatest common divisor of 5 and o. 5 Let c = 2 + -5. Let l be 84/10 + c/(-5). Calculate the highest common divisor of 99 and l. 9 Let c be 2/(-6) - 273/(-9). Suppose -2*f - 4*f = -270. What is the greatest common factor of c and f? 15 Let p(c) = -c**2 + 4*c - 1. Let l be p(1). Let g be (l/3)/(1/36). What is the highest common divisor of g and 8? 8 Suppose 0*u + 4*u + 60 = 0. Let b be (-384)/u + 4/10. Calculate the greatest common divisor of b and 65. 13 Let s = -26 - -41. What is the highest common factor of s and 135? 15 Suppose -u + 9 = y, 7*y - 2*y + u - 65 = 0. Calculate the greatest common factor of 2 and y. 2 Let z be (52/8)/(1/14). What is the greatest common factor of 13 and z? 13 Let l(t) = -2*t - 9. Let k be l(-7). Suppose -2*c = -k*c + 15. Let f = -80 - -120. What is the greatest common divisor of f and c? 5 Suppose -80 = -5*o + 5*d, -o - d - 8 = 4*d. Let b(w) = w**2 + 2*w + 4. Let i be b(-3). Let y = 115 - i. Calculate the greatest common divisor of y and o. 12 Let s = -17 + 25. Let f(n) = -n + 17. Let g be f(s). Calculate the greatest common divisor of g and 99. 9 Let j(d) be the second derivative of 5*d**3/2 - d**2/2 - 3*d. Let y be j(7). What is the highest common divisor of 13 and y? 13 Let k be (-4)/22 + 606/66. Suppose 3*t = 109 + 26. Calculate the greatest common factor of t and k. 9 Suppose -a - 23 = -94. Suppose -4*i + a = -0*i - m, 0 = 3*i + m - 55. Calculate the highest common divisor of i and 6. 6 Suppose -p - p - 2*k + 34 = 0, 2*p = -3*k + 29. What is the highest common factor of 66 and p? 22 Suppose 5 + 11 = -4*c. Let l = 8 + c. Let n be (l/(-2))/((-4)/30). Calculate the greatest common divisor of n and 165. 15 Let z = 71 - -39. Let d = -22 - -32. What is the highest common divisor of z and d? 10 Suppose 3 = -2*q + 3*q. Suppose q = -u, 3*u + 321 = 3*f + 4*u. Suppose 2*z - 14 = -2*c, 4*z = 5*c + 90 - 17. What is the highest common divisor of z and f? 12 Let w be (-8)/(-12) - 11318/3. Let c be w/(-28) + (-4)/(-14). Let s = 243 - c. Calculate the highest common factor of 12 and s. 12 Let r(f) be the second derivative of -3/2*f**2 + 0 - 17/3*f**3 + 2*f. Let s be r(-3). Calculate the highest common divisor of s and 9. 9 Suppose -u + 3*u = 3*m - 25, -2*m + 19 = u. What is the greatest common divisor of 9 and m? 9 Let y = 135 - 83. What is the greatest common divisor of 104 and y? 52 Suppose 2*h + 0*z = -2*z + 220, 3*h - 3*z - 330 = 0. Let q(u) = u**3 + 10*u**2 - 13*u - 12. Let v be q(-11). Calculate the highest common factor of v and h. 10 Let d(k) = k**2 + 2*k + 2. Let u be d(-3). Suppose p + 2*y + 6 = -2*y, -3*p + y = -8. What is the highest common factor of u and p? 1 Suppose 7*l = 3*l + 104. What is the greatest common divisor of l and 65? 13 Let v(m) = -m**3 - 4*m**2 + m + 1. Let s be v(-4). Let k be 12/(s + (-69)/(-22)). Calculate the greatest common factor of k and 11. 11 Let c = -29 - -77. What is the highest common factor of 32 and c? 16 Let y(m) = m**3 + m**2 - 3*m - 2. Let o be y(-2). Suppose o = -5*a + 2*a + 12. Calculate the highest common divisor of a and 36. 4 Suppose -2*i = -s - 74, 0*s - 2*i + 278 = -4*s. Let j be s/(-6) - 18/(-27). What is the highest common divisor of 84 and j? 12 Let g(w) = -4*w**2 + 7*w + 9. Let r(v) = 3*v**2 - 6*v - 8. Let s(a) = -6*g(a) - 7*r(a). Let t be s(2). Calculate the greatest common divisor of 2 and t. 2 Suppose -4*o - 2 = -6*o. What is the highest common divisor of 1 and o? 1 Suppose 5*d + 3*j = 189, 5*j - 4*j - 39 = -d. Calculate the highest common factor of d and 24. 12 Let z be (-1)/(-1) - (1 - 18). Let c(j) = 3*j**3 - 4*j**2 - 2*j + 1. Let a be c(-2). Let i be 72/10*a/(-2). What is the greatest common factor of z and i? 18 Suppose -3 = 3*z, 0 = -x + 2*x + 5*z - 118. What is the greatest common divisor of 82 and x? 41 Let w(m) = -m**3 - 11*m**2 + 11
{ "pile_set_name": "DM Mathematics" }
26 + 9 = 0. Suppose 5*m = -a*y + 145, 10 - 63 = -2*y + 3*m. Calculate the smallest common multiple of y and 16. 112 Let l = 55 + -49. Let b = -2134 - -29853/14. What is the common denominator of b and 3 + ((-161)/(-210) - l/10)? 42 Let r(t) = 23*t - 18*t - 17*t - 13*t**2 + 12 - t**3. Let f be r(-12). Calculate the common denominator of 56/9 and -3 - f/14*-3. 63 Suppose -2*z = -4*a + 4, a = -4*z + 2 - 10. Find the common denominator of -61/8 and 1/z*(-400)/116. 232 Let o = -147 + 102. Let y = o - -53. Calculate the least common multiple of 14 and y. 56 Let u(a) = -a**2 - 12*a - 12. Let r be u(-10). Let f(s) = s**2 - 5*s - 9. Calculate the lowest common multiple of f(r) and 3. 15 Let r(z) = -z**2 + 7*z + 12. Let a(t) = 2*t**2 - 8*t - 2. Let u be a(5). Calculate the least common multiple of r(u) and 18. 36 Suppose -63 = 3*o + k, o - 6*k + k = -37. What is the common denominator of -139/6 and o/(-4)*(-6)/21? 42 Suppose 12*i - 27 = 45. Let q = -1/759 + -17447/7590. What is the common denominator of 1 + -3 + i + 38/20 and q? 10 Suppose -9*u = -8*u + 32. Find the common denominator of 92/15 and (4/u)/((-3)/(-30)). 60 Let b = -206 + 919/4. Find the common denominator of -89/1502 and b. 3004 Suppose 1 - 19 = -k + 4*z, -5*z = 5. What is the smallest common multiple of k and 14? 14 Let p = 1050 + -207901/198. Let b = -1589/990 - p. Let n = -2107/2 - -1074. What is the common denominator of b and n? 10 Let f = 35 - 92. Let u = f + 39. What is the common denominator of 69/22 and (-4)/u - 6797/1386? 22 Calculate the common denominator of -73/21 and (2/22)/((-483)/(-1357)). 231 Suppose 2*m = -4*b + 14, 0 = m + 5*b - 2 - 17. What is the least common multiple of (10/(-25)*-25 - -20)*2/5 and 1 + -5*m*3? 48 Let i be (3/(-1))/(9/114). Calculate the smallest common multiple of i/(-9) - 2/9 and 3. 12 Suppose -5*k + 0 + 20 = 0. Suppose 0 = -4*u + 3*u - 0*u. Suppose -k*g - 20 = u, -2*d = -5*g - 0*g - 69. Calculate the common denominator of d and 77/12. 12 Let h be (-3510887103)/4629834 - 2/11. Let w = h - 1/23383. Let v = 745 + w. Calculate the common denominator of -95/18 and v. 18 Let x = 4298433/239 - 17985. Let n = 153683/815 - 75009137/389570. Let y = x + n. Find the common denominator of -31/4 and y. 20 Let p(x) = 891*x**2 - 12*x - 14. Calculate the lowest common multiple of p(-1) and 3. 2667 Suppose 0 = -h - 2 + 7. Calculate the common denominator of (-1390)/(-200) - (-16)/20 and (14/6)/(h + -2). 36 Let l = 2083/546 - -5/273. Suppose -9028 = 4*k + 2*f - 4*f, -3*k + f = 6769. Let x = -11223/5 - k. Find the common denominator of x and l. 30 Let b(j) = 10*j**2 + 1. Let o be b(1). Let t = 19 - o. Let r(z) = 3*z - 6. What is the least common multiple of 22 and r(t)? 198 Let g(f) = f**2 - 8*f + 5. Let d be g(8). Suppose d*h + 2 = h - 5*i, -i = -5*h + 12. Calculate the common denominator of 81/2 and (-141)/(-15) + h/2. 10 Let b(f) = 10*f - 26. Calculate the least common multiple of b(7) and 18. 396 Let q be 144740/6*(-18)/264. Suppose 652 = k - 4*f - 996, 3*f - 6573 = -4*k. Let b = k + q. What is the common denominator of b and 37/2? 22 What is the smallest common multiple of 142 and (-2 - -9)*(-468)/(-364)? 1278 Let k be ((-6)/5)/((-2)/15). Let r = 5 - k. What is the lowest common multiple of r - (-7 - (0 + 2)) and 8? 40 What is the least common multiple of (17 + -6)*(-2 - (-4 - 5)) and 9? 693 Let f be ((-458)/4)/(12/(-144)). Let h = f + -6918/5. Calculate the common denominator of h and 1/24. 120 Suppose 0*q + 2*q - 8 = 0, 3*t - 20084 = 4*q. Let l = 38/362447 - 53415627461/7973834. Let r = t + l. Find the common denominator of 103/22 and r. 22 Suppose -3*g + 3*f = 42, 5*g + 0*f - 2*f = -82. Let k = 29 + g. What is the least common multiple of 2 and k? 22 Calculate the smallest common multiple of 25 and ((-12)/(-18) + 428/(-12))/(-1). 175 Calculate the least common multiple of 66 and (-114 - -92)*(-1)/2. 66 Suppose u = 3*u - 896. Calculate the common denominator of -59/12 and 7/(u/(-18))*18. 48 Let r = 103921/10 - 10404. Let f = 1648 + -23055/14. Calculate the common denominator of r and f. 70 Suppose -2*c = 2*p - 48, -80 = -4*p + p - 5*c. Suppose 5*a - 9 + 32 = 3*l, -5*l = 2*a + 3. Find the common denominator of ((-28)/(-50))/(a/p) and -27/19. 95 Let s(p) be the third derivative of -p**4/24 + 17*p**3/6 + 9*p**2. What is the lowest common multiple of s(14) and 6? 6 Suppose -4*w - 4*o = -4, 3*o - 8*o = 4*w - 8. Find the common denominator of -15/64 and 1/w + 1059/(-90). 320 Let q be (-23)/(3 - (-935)/(-310)). Let l = q + -14209/10. Calculate the common denominator of l and -18/7. 70 Calculate the least common multiple of 102 and 57/3 - (8 - 3). 714 What is the common denominator of 101/4 and 7*2/63 + 31/(-36)? 36 What is the common denominator of 31/112 and (2/(-4))/(-3 + 111/33)? 112 Suppose 0*d - 12 = -d. Let h be (d/(-18))/(2/6). Let c = 9 - h. Calculate the smallest common multiple of c and 4. 44 Let t = -4/145809 + 11811689/42284610. Find the common denominator of t and 43/203. 2030 Let i = -184 + 236. What is the lowest common multiple of 4 and i? 52 Let a = 11908 - 214435/18. What is the common denominator of a and 155/126? 126 Let t = 1/12529 + 1165121/952204. Let r = t - -10/19. Let f = -29/20 - -659/20. What is the common denominator of f and r? 4 What is the common denominator of (-14)/320 + 8/(-10) and -119/12? 96 Suppose -4*w - 258 = -62. Calculate the common denominator of -93/14 and w. 14 Let k(l) = -l**3 + 7*l**2 - l - 5. What is the smallest common multiple of 45 and k(6)? 225 Let d(g) = g**3 + 5*g**2 - 8*g + 2. Let k be (-4)/12 - 61/(-3). Let s = -14 + k. What is the smallest common multiple of s and d(-6)? 42 Suppose 3*n - 2*n - o = 22, -3*o - 15 = 0. Suppose 5*a - n = -d + 24, 4*d + 20 = 3*a. What is the smallest common multiple of a and 2? 8 Let d(y) = -y**3 - 22*y**2 - 11*y + 5. Let j be d(-10). What is the common denominator of 3/6 + j/84 and -71/28? 84 Suppose 71 = 4*a + 4*m - 101, -a - 5*m = -35. What is the smallest common multiple of a and 18? 90 Let b = -34 - -16. Let z be (2/2)/((-3)/b). Suppose -22 = -z*w + 5*w. Calculate the lowest common multiple of w and 20. 220 Let i(j) = -8 + 4*j - 3*j**2 + 3*j**2 + j**2 + 5*j. Calculate the smallest common multiple of i(-11) and 38. 266 Let o be 78/(-21) - (-8)/(-28). Find the common denominator of 483/(-60) + (-1)/o and -64/9. 45 Let m be ((-40)/(-7))/((-8)/(-28)). Suppose -5*o + 3*c - 162 = 0, -m - 47 = 2*o + c. Find the common denominator of 3/7 and ((-3)/o)/((-2)/(-10)). 77 Suppose -159 = 23*n - 28*n + t, -3*t = 5*n - 163. What is the smallest common multiple of 104 and n? 416 Suppose 2*l - 35 - 53 = 0. What is the least common multiple of l and 24? 264 Let a = -296497/80542 - 2/3661. Calculate the common denominator of -83/2104 and a. 23144 Calculate the common denominator of -36/5 and (-180)/(-14)*(8 + 3)/44. 70 Let u = -13152255/1024 - -12844. Let a be (-44545)/(-1024) + (-2)/1. Let r = a - u. Calculate the common denominator of r and -67/28. 28 Let o(d) = d**2 - 14*d + 7. Let l be o(15). Let w = l + 0. Calculate the smallest common multiple of 4 and w. 44 Suppose 0 = n + f - 19, 8*n - 7*n = 2*f + 28. What is the smallest common multiple of 80 and n? 880 What is the least common multiple of (240/(-28))/(144/(-756)) and 234? 1170 Let u be (602/10)/(1/((-8780)/(-64))). Let c = -8256 + u. Find the common denominator of 121/20 and c. 80 Suppose 0 = -4*x - 5*l + 6, 2*x + 4*l + 2 = -l. What is the lowest common multiple of x and 32? 32 Let p be (16/10)/(6/15). Suppose s - 9 = 3*t, 72 - 15 = p*s - 5*t. What is the common denominator of -87/10 and ((-185)/15)/((-40)/s)? 20 Suppose c = -3*d + 21, -2*c + 98 = 2*c - 2*d. Suppose -4*k - 4 = -c. Let x = 15 - 9. What is the smallest common multiple of k and x? 30 Let z = 277041/52270 - 1/5227. Let q = 1806 - 8972/5. Find the common denominator of q and z. 10 What is the least common multiple of ((35/21)/5)/((-6)/(-1998)) and 3? 111 Suppose 46 = 5*o + 2846. Find the common denominator of 37/50 and (-5166)/o*4/15. 50 Let p = -778 - -782. Calculate the smallest common multiple of 3/(-1)*(-16)/2 and p. 24 Let c = -7577 - -60541/8. What is the common denominator of 41/1972 and c? 3944 Find the common denominator of (-3)/(-21) + (-222)/(-308) and ((-51)/(-
{ "pile_set_name": "DM Mathematics" }
ne 17*p(w) - 6*u(w). -2*w**3 + w**2 - 2 Let c(b) = -5*b**2 + 4. Let l(w) = -78*w**2 - 5 + w + 40*w**2 + 44*w**2. Determine -3*c(p) - 2*l(p). 3*p**2 - 2*p - 2 Let m be 8 + (-2 - -1) - 1. Let z(g) = -2 - 2 + g**2 + 8 - 6*g. Let a be z(m). Let h(d) = -3*d + 2. Let k(v) = v. What is a*k(l) + h(l)? l + 2 Let x(j) = -2*j - 6. Let k(d) = d**2 - 5*d. Let s be k(4). Let w be (-28)/(s*1) + -3. Let z(g) = 1 + 2*g + 0 + 4. Determine w*z(t) + 3*x(t). 2*t + 2 Let p(s) = s**3 + s**2 - s + 1. Let u(a) = 2*a**3 + 4*a**2 - 4*a + 4. Let j(x) = -x**2 - 12*x - 4. Let w be j(-12). Calculate w*p(m) + u(m). -2*m**3 Let z(p) be the first derivative of -p**3/3 + p**2/2 + p - 34. Let a(q) = 4*q**2 - 1. Give a(n) + 2*z(n). 2*n**2 + 2*n + 1 Let q(w) = w**3 + 5*w**2 + 3*w. Let k be q(-4). Let p(f) = -f + k*f - 7*f**2 + 5 + 2*f. Let y(c) = -3*c**2 + 2*c + 2. Calculate 2*p(x) - 5*y(x). x**2 Let f(t) = -9*t + 3. Let m(y) = 5*y - 2. Suppose v + 23 = -5*i + 2*i, 16 = -2*i - v. What is i*m(b) - 4*f(b)? b + 2 Let k = 11 - 6. Let w(q) = -5 + 4 + 1 - 4*q. Let u(m) = m. Give k*u(y) + w(y). y Let u(y) = 5*y**2 + 2*y - 6. Let k(a) = -10*a**2 - 4*a + 11. What is 6*k(z) + 11*u(z)? -5*z**2 - 2*z Let h(z) = z**2 - 5. Let c(p) be the first derivative of -1/3*p**3 + 6*p - 5 + 0*p**2. Let o = 5 + -9. Give o*c(v) - 5*h(v). -v**2 + 1 Let v(r) = -r - 1. Let f(u) = u**2 + 0*u**2 + 11*u + 0*u**2 - 8*u + 7. Determine -f(x) - 3*v(x). -x**2 - 4 Let f(o) = 5*o**3 - o**2 + 4. Let k(p) = -p**3 - p**2 + 1. What is f(l) - 2*k(l)? 7*l**3 + l**2 + 2 Let r(a) = 41*a**2 + 31*a + 26. Let q(f) = 8*f**2 + 6*f + 5. Let c(t) = -11*q(t) + 2*r(t). Let s(o) = 5*o**2 + 3*o + 3. What is -3*c(b) - 4*s(b)? -2*b**2 - 3 Let r(c) = 2*c**3 + 4*c**2 + 6*c + 3. Let p(b) = b**3 + 3*b**2 + 5*b + 2. Determine -3*p(x) + 2*r(x). x**3 - x**2 - 3*x Let j(a) = 17*a**3 - 11*a**2 - 4*a - 9. Let z(m) = 9*m**3 - 6*m**2 - 2*m - 5. What is 6*j(s) - 11*z(s)? 3*s**3 - 2*s + 1 Let c(v) = -7*v + 20*v + 1 - 7*v - 7*v. Let i(z) = 3*z - 1. What is -c(m) - i(m)? -2*m Let d(g) = -16*g - 1. Let s(x) = -x - 1. What is d(q) - 6*s(q)? -10*q + 5 Let z(d) = 12*d**3 + 5*d**2 - 5*d + 5. Let i(p) = 42*p**3 + 18*p**2 - 18*p + 18. What is -5*i(h) + 18*z(h)? 6*h**3 Let c(z) = -14 - 16 + 29. Let f(h) = 2 + h - 4 - 1. Calculate -c(l) + f(l). l - 2 Let b(w) = -12*w + 2. Let k(r) = -4*r + 1. What is 3*b(s) - 8*k(s)? -4*s - 2 Let g(x) = 46*x**2 - 16*x + 16. Let m(z) = -15*z**2 + 5*z - 5. Determine 5*g(c) + 16*m(c). -10*c**2 Let r(w) = 1. Let n(p) = -p - 5. Calculate -n(l) - 3*r(l). l + 2 Let j(l) = -70*l. Let o(h) = -10*h. Determine 2*j(z) - 15*o(z). 10*z Let l(v) = -v**3 - 9*v**2 - 4*v - 6. Let f(q) = -2*q**3 - 17*q**2 - 7*q - 11. Let g(j) = -8*j - 26. Let y be g(-4). Calculate y*f(w) - 11*l(w). -w**3 - 3*w**2 + 2*w Let q(c) = 7*c - 7. Let w(r) = -4*r + 4. Let m(x) = 3*q(x) + 5*w(x). Let a(k) = 2*k**2 - 4*k + 3. Give -a(t) - 5*m(t). -2*t**2 - t + 2 Let n(g) be the second derivative of -g**4/4 - 17*g**3/6 + 2*g. Let k be (-1 + 4 - 1)*1. Let o(p) = 0*p - p**k + p - 7*p. Calculate 6*n(f) - 17*o(f). -f**2 Let i(m) = 6*m**3 + 4*m**2 - m + 7. Let b(a) = -5*a**3 - 3*a**2 + a - 6. Calculate -7*b(j) - 6*i(j). -j**3 - 3*j**2 - j Let j(n) = 2*n**2 + 3*n + 4. Let d be j(-3). Let a(m) = 7*m**2 + 6*m - 4. Let r(o) = 8*o**2 + 7*o**2 - 6 + 13*o - 3. Calculate d*a(i) - 6*r(i). i**2 + 2 Let o(a) = -2*a + 6. Let w(t) = -22 + 9 - 4*t + 8*t. Suppose 0*g + 35 = -2*g - 3*d, g - 5*d - 2 = 0. Determine g*o(v) - 6*w(v). 2*v Suppose -2*j - j = -3. Let s(g) = g**2 - 2*g + 2. Let v(z) = -z**2 + 1. Let x(f) = j*s(f) - 2*v(f). Let p(l) = l**2 - l. Calculate -2*p(k) + x(k). k**2 Let i(g) = 1. Suppose -5 = -3*j + 1. Let s(q) = -1 - 7*q + 3*q + 3*q - j. Suppose -2*l + l = 2. Calculate l*s(f) - 5*i(f). 2*f + 1 Let w(x) = -5*x**3 - 4*x + 1. Let a(c) = 7*c + 6*c - 14*c + 8 - 3*c**3. Let d(m) = 7*m**3 + 3*m - 15. Let q(p) = -11*a(p) - 6*d(p). What is 6*q(z) - 11*w(z)? z**3 + 2*z + 1 Let m(b) be the third derivative of b**6/40 + b**5/12 + 2*b**3/3 - 16*b**2. Let c(q) = 5*q**3 + 9*q**2 + 7. Give -4*c(j) + 7*m(j). j**3 - j**2 Let i(z) = -6*z**3 - 3*z**2 - 4*z - 9. Let u(h) = -5*h**3 - 2*h**2 - 3*h - 10. Give -3*i(w) + 4*u(w). -2*w**3 + w**2 - 13 Let n(h) be the third derivative of -h**4/24 - h**3/6 + 21*h**2. Let w(a) = 10*a + 5. Give -5*n(x) - w(x). -5*x Let g be (15/25)/(1/10). Let t(a) = g - a**2 - 2 - 2 + 2*a. Let c(q) = 5*q**2 - 8*q - 8. Give 2*c(i) + 9*t(i). i**2 + 2*i + 2 Let m(x) = x**3 + x**2. Let f(h) = 38*h**3 + 76*h**2. What is f(i) - 76*m(i)? -38*i**3 Let t(h) = -1. Let y(u) = -u**2 - 2. Suppose 10 = -q + 3*q. Suppose q*v = -3*b - 26, v + 2 + 2 = 0. Determine b*y(l) + 3*t(l). 2*l**2 + 1 Let a(v) = v**2 + v - 1. Let m(z) = 2*z**2 - 43*z - 1. Give a(r) - m(r). -r**2 + 44*r Let o(g) = -g**3 + 2*g**2 - g + 6. Let d(h) = -h**3 + h**2 + 1. Determine -4*d(p) + o(p). 3*p**3 - 2*p**2 - p + 2 Let w(q) = q + 5. Let x(d) = 2*d + 9. Let b(c) = -8*c + 1. Let m be b(1). Let u = -18 - m. Calculate u*w(r) + 6*x(r). r - 1 Let f(q) = -q. Let a(i) = 6*i + 2. Let z(o) = -a(o) - 3*f(o). Let y(c) = -16*c - 11. Let d = -5 - -7. What is d*y(w) - 11*z(w)? w Let u(v) = 10*v**2 - 8*v + 10. Suppose 0 = 8*a - 1420 + 1404. Let f(w) = w**2 - w + 1. Suppose 3*o = -4*z - 72, 56 = -2*z - 5*o + 20. Determine a*u(i) + z*f(i). 2*i**2 + 2*i + 2 Let o(y) be the third derivative of y**6/120 - y**4/8 - 50*y**2. Let l(r) = -r**3 + 2*r. Determine -7*l(a) - 4*o(a). 3*a**3 - 2*a Let q(i) = -i**2 + 6*i - 4. Let n(u) = 3*u**2 - 17*u + 11. What is 4*n(x) + 11*q(x)? x**2 - 2*x Let q(g) = 3*g + 5. Let c(x) = x + 1. Suppose -8*u + 5*u = 3. What is u*q(b) + 5*c(b)? 2*b Let s(w) = 4*w**2 + 5*w - 5. Let i(r) = 2*r**2 + 3*r - 3. What is 10*i(y) - 6*s(y)? -4*y**2 Let w(r) = 109*r - 2 - r**3 + 105*r - 217*r + 3*r**2. Let q(m) = -2*m**3 + 5*m**2 - 5*m - 2. Let l(y) = 1. Let u(c) = -l(c) + q(c). Determine 6*u(i) - 10*w(i). -2*i**3 + 2 Let q(j) = j. Let m(r) = -6*r. What is -4*m(b) - 21*q(b)? 3*b Let w(l) = 86 - 86 - 2*l. Let x(z) = z. Determine 4*w(b) + 4*x(b). -4*b Let g(d) = 16*d. Let q(n) = -385*n. Calculate 49*g(m) + 2*q(m). 14*m Let s(h) = h + 1. Let y(i) = -7*i + 9. Let r(q) = -2*s(q) - y(q). Let c be 9/(-18)*(3 - -5). Let d(v) = v - 2. Calculate c*r(p) + 22*d(p). 2*p Let n(t) = -t**2 - 2*t + 2. Let q(b) = -5*b**2 - 9*b + 12 + 0 - 3. What is 9*n(o) - 2*q(o)? o**2 Let b(m) be the third derivative of -m**6/120 - m**5/30 + m**4/12 + 11*m**2. Let v(t) = t**3 - t**2 + t. What is b(p) - 2*v(p)? -3*p**3 Let p(r) = 1 + r + 3 + 1. Let i be 0/((-9)/(-3 - 0)). Suppose i = -2*v - 3 - 1. Let h(w) = -4. What is v*p(m) - 3*h(m)? -2*m + 2 Let x(u) = -6*u + 3. Let m(o) = 13*o - 7. What is 2*m(c) + 5*x(c)? -4*c + 1 Let j(t) = 2*t - 9. Let d(x) = 2*x + 4 - x - 2*x. Let m = -220 - -225. What is m*d(w) + 2*j(w)? -w + 2 Let l(f) = -f**2 + f. Let a(y) = 8*y**2 - 11*y - 1. Give a(d) + 6*l(d). 2*d**2 - 5*d - 1 Let g(l) = 3*l**2 + 6*l - 2. Suppose 7 + 9 = 4*t. Let f(v) = -8*v**2 - 17*v + 6. Determine t*f(c) + 11*g(c). c**2 - 2*c + 2 Suppose -7 + 34 = -9*h. Let s(f) = -5*f + 2. Let p(d) = -1. Give h*p(l) - s(l). 5*l + 1 Let b = -69 + 84. Let a(q) = 3*q**2 + 15*q. Let u(l) = l. Determine b*u(i) - a(i). -3*i**2 Let p(y) = 20*y**2 + 7*y. Let k(h) = 30*h**2 + 11*h. Calculate -5*k(f) + 8*p(f). 10*f**2 + f Let n(m) = m**3 + 11*m**2 + 4*m + 2. Let z(t) = 6*t**2 + 2*t + 1. What is -6*n(u) + 11*z(u)? -6*u**3 - 2*u - 1 Suppose 18 = -5*f - 12. Let z(r) = -7*r**2 - 6*r - 6. Let t(q) be the third derivative of -q**5/60 - q**4/24 - q**3/6 - 5*q**2. What is f*t(i) + z(i)? -i**2 Let y(j) = -j. Let k(t) = -t**3 + 4*t**2 + 3*t - 4. Let m be k(4). Let b = 11 - m. Let p(a) = a. What is b*p(h) + 2*y(h)? h Let o(d) be the third derivative of -1/8*d**4 + 2*d**2 + 0*d + 0 - 5/6*d**3. Let m(t) = 2 + 3 + 2*t + 2 - 3. Determine 4*m(s) + 3*o(s). -s + 1 Suppose 0 = h + 5, -4*v + 2*v - 37 = 5*h. Let u(f) = 2*f + 7 - 7. Let p(i) = 3*i. What is v*u(x) + 5*p(x)? 3*x Let u(t) = t**2 + 20*t - 64. Let k be u(-23). Let l(y) = -6*y - 6. Let q(c) = c + 1. Let g be (4/6)/((-2)/(-3)). Determine g*l(m) + k*q(m). -m - 1 Let s(l) = -l + 3. Let g(b) = b - 2. Calculate -5*g(w) - 4*s(w). -w - 2 Let p be (-2)/(1 - 7/9). Let r = p - -5. Let x(q) = 6*q**3 + 5*q**2 - 5*q. Let d(b) = 5*b**3 + 4*b**2 - 4*b. Give r*x(m
{ "pile_set_name": "DM Mathematics" }
5, 9 Sort -0.3, -6, -0.077, -9 in descending order. -0.077, -0.3, -6, -9 Put 2, 2/147, 0.5, -60 in decreasing order. 2, 0.5, 2/147, -60 Put -154, -2/17, 3, 2, -0.1 in ascending order. -154, -2/17, -0.1, 2, 3 Sort -1, -2, 181 in descending order. 181, -1, -2 Sort -7, 2/9, 1, -4. -7, -4, 2/9, 1 Put -2, 0, -2.9, -1/3 in decreasing order. 0, -1/3, -2, -2.9 Put 4/7, 2, -0.4, 4 in increasing order. -0.4, 4/7, 2, 4 Sort -7, -3, 14, -2 in decreasing order. 14, -2, -3, -7 Sort -2/5, 1/3, -5, 0.6 in decreasing order. 0.6, 1/3, -2/5, -5 Sort -0.3, 1/3, -6/7, -9, 18 in increasing order. -9, -6/7, -0.3, 1/3, 18 Sort -13/8, 1/3, 4, -2. -2, -13/8, 1/3, 4 Put 127, 5/3, 3/8 in ascending order. 3/8, 5/3, 127 Sort -1/5, 0.1, -5, -0.6, 0. -5, -0.6, -1/5, 0, 0.1 Sort 3/11, 5/4, 0, -0.2, 17 in descending order. 17, 5/4, 3/11, 0, -0.2 Put -1, -0.08, -0.1, -0.4 in descending order. -0.08, -0.1, -0.4, -1 Put 3/2, 2, 5/4, -19 in increasing order. -19, 5/4, 3/2, 2 Put 88, 1, 2 in increasing order. 1, 2, 88 Sort -6, 5, -15, 3. -15, -6, 3, 5 Put -2/5, -1/4, 282 in increasing order. -2/5, -1/4, 282 Sort 1/6, 3, 0.03, -1.1 in ascending order. -1.1, 0.03, 1/6, 3 Sort 1, 36, -1 in increasing order. -1, 1, 36 Put 4, 14, 3 in decreasing order. 14, 4, 3 Put -1, 1835, 1, -4 in increasing order. -4, -1, 1, 1835 Sort -347, 2, -5 in ascending order. -347, -5, 2 Sort 3, -2/23, -3, -8 in increasing order. -8, -3, -2/23, 3 Put 0, 42, -1 in descending order. 42, 0, -1 Sort 2/7, 2/13, -2, -1, 1 in descending order. 1, 2/7, 2/13, -1, -2 Sort -4, -3, -1766 in decreasing order. -3, -4, -1766 Sort -1/5, 1/5, -0.07 in ascending order. -1/5, -0.07, 1/5 Sort -1, 5, 12, -4 in decreasing order. 12, 5, -1, -4 Sort 4, -36, -1, -4 in ascending order. -36, -4, -1, 4 Put -2, -12, -3 in ascending order. -12, -3, -2 Put 0.14, 2, 7/3 in ascending order. 0.14, 2, 7/3 Sort -2, 3, 2627 in increasing order. -2, 3, 2627 Sort 2/223, 4, -2/5 in descending order. 4, 2/223, -2/5 Sort 0.6, 1, 82, 5 in descending order. 82, 5, 1, 0.6 Put -1053, 0, 5 in decreasing order. 5, 0, -1053 Sort -4, -10, 2, 1 in descending order. 2, 1, -4, -10 Sort 0.8, 0.03, 3 in ascending order. 0.03, 0.8, 3 Sort -3, 3, 1, 1/4, -16 in increasing order. -16, -3, 1/4, 1, 3 Sort -3, -4, 0, 4, 74 in decreasing order. 74, 4, 0, -3, -4 Put 3, -0.1, -2/7, 1.1 in increasing order. -2/7, -0.1, 1.1, 3 Sort -0.06, 24, 0.2. -0.06, 0.2, 24 Sort 0.3, 0.5, -2, 337. -2, 0.3, 0.5, 337 Put -3, -4, 44 in descending order. 44, -3, -4 Sort 0, -4, -1, -6. -6, -4, -1, 0 Sort 2, -4, 52, -3, 1. -4, -3, 1, 2, 52 Put 1, 59, -5 in descending order. 59, 1, -5 Sort 1, -5/6, -0.5, 3 in increasing order. -5/6, -0.5, 1, 3 Sort 647, 4, 0 in decreasing order. 647, 4, 0 Sort -2/17, 5, 36, -2/5 in descending order. 36, 5, -2/17, -2/5 Put -4, 2, -2, -27 in increasing order. -27, -4, -2, 2 Sort -1, 7, 0, -4 in descending order. 7, 0, -1, -4 Sort -1, 40, -2. -2, -1, 40 Sort -1/5, -9, 4, -5 in increasing order. -9, -5, -1/5, 4 Put 0, 5, 2 in decreasing order. 5, 2, 0 Put -1, -2, -3, -4 in decreasing order. -1, -2, -3, -4 Sort 233, -4, 5, -5 in descending order. 233, 5, -4, -5 Put 4, -14/11, -3/2, -0.32 in descending order. 4, -0.32, -14/11, -3/2 Sort -185, -2, -16 in descending order. -2, -16, -185 Sort -2, 5, -27, 4 in increasing order. -27, -2, 4, 5 Sort 2, 0, -4, 209 in ascending order. -4, 0, 2, 209 Sort 8, -3, -1. -3, -1, 8 Sort 4, 0.4, -1, 2/7. -1, 2/7, 0.4, 4 Put -5, 2250, 0 in descending order. 2250, 0, -5 Sort -0.99, 4, 1/6 in ascending order. -0.99, 1/6, 4 Sort -0.4, -25, -0.3, -3/5 in ascending order. -25, -3/5, -0.4, -0.3 Sort -9, 3, 0 in increasing order. -9, 0, 3 Sort -0.07, 3/4, 15 in decreasing order. 15, 3/4, -0.07 Sort -2, 3, -6, -3, -8 in increasing order. -8, -6, -3, -2, 3 Sort 5, 3990, 0 in increasing order. 0, 5, 3990 Sort 0.621, -5, 0.18. -5, 0.18, 0.621 Sort -5, -220, 0. -220, -5, 0 Put -0.01, -2, 3, 5 in descending order. 5, 3, -0.01, -2 Put 0, -4, -2, -3, -23 in increasing order. -23, -4, -3, -2, 0 Put 87, 3, -4, 0, 1 in decreasing order. 87, 3, 1, 0, -4 Sort 3/22, 3/7, 0.4, -4 in descending order. 3/7, 0.4, 3/22, -4 Put 4, 0, 3, 5 in increasing order. 0, 3, 4, 5 Put -15, -2, 2, -2/11 in decreasing order. 2, -2/11, -2, -15 Sort -3, 3, 2, 7 in ascending order. -3, 2, 3, 7 Sort 4, 5, 0.4, 1 in descending order. 5, 4, 1, 0.4 Sort 61, 4, -3. -3, 4, 61 Put -1/4, 22, -4 in decreasing order. 22, -1/4, -4 Sort -4, -7, 10 in descending order. 10, -4, -7 Sort 1, 5, 4 in descending order. 5, 4, 1 Sort 25, -3, -1, 4. -3, -1, 4, 25 Sort -5, 3, 20, -2 in ascending order. -5, -2, 3, 20 Sort 412, -4, -1 in ascending order. -4, -1, 412 Put 4, -2/19, -1, 0.039 in decreasing order. 4, 0.039, -2/19, -1 Put 5, 4, -217 in descending order. 5, 4, -217 Put -3, 0, 54 in ascending order. -3, 0, 54 Put -0.1, 8, -0.2, 32, -5 in decreasing order. 32, 8, -0.1, -0.2, -5 Sort 4, 1, -1/4, -10. -10, -1/4, 1, 4 Put 3, -2, 61 in ascending order. -2, 3, 61 Put 2, -2, 14, 5 in decreasing order. 14, 5, 2, -2 Put 7, 4, -1 in ascending order. -1, 4, 7 Sort -490, -2, -5, 5 in increasing order. -490, -5, -2, 5 Sort -3, -1, -5, 1, 4 in descending order. 4, 1, -1, -3, -5 Put 142, -4, -3, -2, 0 in ascending order. -4, -3, -2, 0, 142 Put -4/7, 13, -3 in decreasing order. 13, -4/7, -3 Sort -0.4, 4, 5/2, 0, 74. -0.4, 0, 5/2, 4, 74 Put 0.5, 3, 0.06, 2 in descending order. 3, 2, 0.5, 0.06 Put -4, 4, 19 in descending order. 19, 4, -4 Put 0.2, -5, 0, -68/9 in decreasing order. 0.2, 0, -5, -68/9 Sort -25.3, -2/11, 0.1, -1 in decreasing order. 0.1, -2/11, -1, -25.3 Sort 5, 2/25, -6, 0.5, -0.3 in descending order. 5, 0.5, 2/25, -0.3, -6 Sort -5, 39, -13, 1 in increasing order. -13, -5, 1, 39 Sort 3/17, 2, 179 in decreasing order. 179, 2, 3/17 Sort -5, -844, -2. -844, -5, -2 Sort 0, -37, 2, 13/5, 1 in decreasing order. 13/5, 2, 1, 0, -37 Sort 2, 11, -1. -1, 2, 11 Put -19, -13, -3 in ascending order. -19, -13, -3 Put 8, 1/33, 5, -2 in descending order. 8, 5, 1/33, -2 Sort 2, -0.2, -1/4, -1/2 in descending order. 2, -0.2, -1/4, -1/2 Put 0.2, -0.4, 2/17, 80 in increasing order. -0.4, 2/17, 0.2, 80 Sort -6, -9, 3/7 in decreasing order. 3/7, -6, -9 Sort -158, -4, -3, 3 in increasing order. -158, -4, -3, 3 Put -1, 0.3, 11, -0.03, 3/8 in decreasing order. 11, 3/8, 0.3, -0.03, -1 Sort -0.06, -9.3, 0.4 in increasing order. -9.3, -0.06, 0.4 Sort -2/17, -0.4, 1, -2, -0.5. -2, -0.5, -0.4, -2/17, 1 Put 0.3, 0.1, 0.08, 2 in descending order. 2, 0.3, 0.1, 0.08 Sort 10, -5, 4, 53, 3 in ascending order. -5, 3, 4, 10, 53 Sort -4, -18, -1 in decreasing order. -1, -4, -18 Sort 299, 4, -1 in descending order. 299, 4, -1 Sort -3, -2, 31, -1. -3, -2, -1, 31 Sort 367, 4, 0, -3 in decreasing order. 367, 4, 0, -3 Sort -0.186, -0.5, -3 in increasing order. -3, -0.5, -0.186 Put -0.5, 0.3, -3/8, 6/11 in descending order. 6/11, 0.3, -3/8, -0.5 Sort -1, 3, -5, 91, 1 in decreasing order. 91, 3, 1, -1, -5 Sort -18, 1, -5, 5 in increasing order. -18, -5, 1, 5 Put 3/2, -8, -4 in decreasing order. 3/2, -4, -8 Sort 5, 0, -39, -2. -39, -2, 0, 5 Put -539, 7, 0 in ascending order. -539, 0, 7 Put -1/6, 2/3, 0, -0.5 in decreasing order. 2/3, 0, -1/6, -0.5 Sort -0.9, -5/3, 0.0479 in increasing order. -5/3, -0.9, 0.0479 Sort -1, -2/11, 5161 in ascending order. -1, -2/11, 5161 Sort 2, -652, -4 in decreasing order. 2, -4, -652 Sort 0.2, 0, -2/13, -1/34 in increasing order. -2/13, -1/34, 0, 0.2 Put 5/4, 4, -3/8 in descending order. 4, 5/4, -3/8 Sort -0.04, 2, 170 in descending order. 170, 2, -0.04 Sort 30, -3, -5, 4. -5, -3, 4, 30 Sort -6, 1, 4, 3 in increasing order. -6, 1, 3, 4 Sort -0.3, 0.4, -6/19, 0 in descending order. 0.4, 0, -0.3, -6/19 Sort 2/9, 2, 1459. 2/9, 2, 1459 Sort -4, 81, 1, 2, -3/4. -4, -3/4, 1, 2, 81 Sort 0, -1, -6, 4. -6, -1, 0, 4 Sort -6, 0, -3, -5, 3 in descending order. 3, 0, -3, -5, -6 Put -1, 2, 4, 0, 6 in ascending order. -1, 0, 2, 4, 6 Sort -4, 3, -1. -4, -1, 3 Sort -91, -1/3, 5 in descending order. 5, -1/3, -91 Sort -4, 25, 14 in increasing order. -4, 14, 25 Sort 0, -5, 3, 5, 16 in decreasing order. 16, 5, 3, 0, -5 Put -0.3, 1.7, 27/5 in ascending order. -0.3, 1.7, 27/5 Put -1, -5, 22, 18, -3 in decreasing order. 22, 18, -1, -3, -5 Sort -32, -1/4, -0.2. -32, -1/4, -0.2 Sort -0.4, 0.5, 28, -1 in ascending order. -1, -0.4, 0
{ "pile_set_name": "DM Mathematics" }
-0.0396 + 0.2596. Sort 3, 1/10, b, -4. -4, 1/10, b, 3 Let m = 51.19 + -107.79. Put m, 4, -5 in ascending order. m, -5, 4 Suppose 5*d + 3 = -12*u + 9*u, 5*u + 3*d = -5. Put 0, u, -235 in decreasing order. 0, u, -235 Let w = 8120 - 24358/3. Sort w, 16, -2, -4/5. -2, -4/5, w, 16 Let f = -0.005 - 0.095. Let r = -6 + 5.8. Suppose -39 = 7*a + 3. Sort r, a, f in descending order. f, r, a Let j = -48 + 59. Suppose -2*m - 2*a + 14 = 0, -5*a + 3*a = m - j. Suppose -9*n + 8*n - 3 = 0. Sort m, n, -2/39 in increasing order. n, -2/39, m Suppose -2*j = 53 - 57. Suppose -3*m = -166 - j. Let i = -60 + m. Sort 3, i, -25, -0.4 in ascending order. -25, i, -0.4, 3 Let m be 2/(-8)*4/(-6)*1. Let d = 2.5 - 6.5. Sort -0.3, -2, d, m in increasing order. d, -2, -0.3, m Let x = 11 + -15. Suppose 4*b - 50 = -c + 56, 4*b + 344 = 4*c. Let u be 2/c + 3/27. Put u, -8/3, 5, x in increasing order. x, -8/3, u, 5 Let t = -1630 + 1639. Sort t, -1/5, 5 in descending order. t, 5, -1/5 Suppose 47*v + 1034 = 893. Sort v, 4, -5, 5, 6. -5, v, 4, 5, 6 Suppose -3*o = -5*o - 14. Let r = -773 - -801. Suppose 5*j - j = -4*t - r, 0 = t + 4. Sort -2, j, o, 1 in ascending order. o, j, -2, 1 Let m be ((-9)/6)/(6/(-8)). Let a be 29/116*40/45 - 94/18. Put m, -2, a in increasing order. a, -2, m Let x be 16/(-6)*((-11)/(-4) + -3). Let h = -42.3 + 42. Let v = 3 - 4. Sort v, x, h in descending order. x, h, v Let j = -33063/7 - -4724. Put -2/13, -2, 0.05, j in increasing order. -2, -2/13, 0.05, j Let d be 2712/(-543) + 15/(-3)*-1. Let m = -538/905 - d. Put 1, 1/3, m in decreasing order. 1, 1/3, m Let m = 22632 + -22632.2. Put 6, 5, 0.2, m, -2/5 in increasing order. -2/5, m, 0.2, 5, 6 Suppose -3*j + 0*a = -4*a - 13, -2*a - 9 = j. Let q be (j - 0) + 1/(-2)*-2. Put 3, 1, 2, q in descending order. 3, 2, 1, q Let j be (-1 - 1)/(-16 + (-21 - -36)). Put 0, 5, 9, j in descending order. 9, 5, j, 0 Let f(d) = -d**3 + 2*d**2 - 1. Let z be f(1). Let w be (11 - 0 - 12/6)*214/321. Put -2, w, z, -3 in increasing order. -3, -2, z, w Let r = 975 - 973. Put 15/127, -4, r in ascending order. -4, 15/127, r Suppose 12*i = -78 - 42. Let a = i - -15. Suppose 0 - 5 = -a*u - 3*h, -5*u + 2*h = 20. Put -15, u, 4 in decreasing order. 4, u, -15 Let k be (4/6)/((-10)/(-15)). Let d = 1 + k. Let p = 18.7 + -20.7. Put p, 0.3, d in increasing order. p, 0.3, d Let g be ((-2)/7)/(2 - 105/49). Suppose g*r = -2*r. Suppose r = 2*a + a - 3. Put -10, -5, a in ascending order. -10, -5, a Let v = -4331.8 + 4332. Sort v, 0, 372 in descending order. 372, v, 0 Let d = -15.166 - -16.166. Sort 1/12, d, 0.6, 0. 0, 1/12, 0.6, d Suppose -1045 = 5*r + 5*f, -2*f + 1065 = -5*r + 3*f. Let z be (-3 + -5 + 7)/(59205/(-7405) + 8). Let t = r - z. Put 2/21, -5, t, -3/7 in ascending order. -5, -3/7, 2/21, t Let w be 0 + (-18)/(-4) - 450/180. Sort -85, w, -0.1 in descending order. w, -0.1, -85 Suppose -4*g - 2*f - 1432 = 0, -2*f - 1432 = 4*g - 4*f. Let y = -355 - g. Suppose 4*s = -4*d - 92, -4*s = d + 4*d + 112. Put -3, d, y in ascending order. d, -3, y Let x(t) = 8*t**2 + 701 - 12*t + 3*t**3 - 3*t**3 - 716 - t**3. Let w be x(5). Suppose -10 = -5*a + 3*c, -a - 2*c + 3 + 12 = 0. Put 1, w, a in decreasing order. a, 1, w Let v(m) = -m**2 + 9*m + 5. Let z be v(10). Let t = 7 - z. Let n = t + -13. Put n, 3, -3 in decreasing order. 3, n, -3 Let s be 3 + 5/20 + (-1)/4 + -6. Suppose 0*z = 2*z + 34. Sort s, 5, z, 0. z, s, 0, 5 Let m = -153.73 - -160. Let s = m - 7.3. Let v = 1.03 + s. Put v, -0.1, -0.3, -2/3 in descending order. v, -0.1, -0.3, -2/3 Let k be (-30)/(-25) - (-429)/(-195). Put 92, -59, k in descending order. 92, k, -59 Suppose 16 = -2*f + 2*n, -3*f - 29 = f - 3*n. Sort f, -2, -46, 6. -46, f, -2, 6 Let q = -87 + 95. Let s be q/(-6)*(-5 + 2). Sort s, -1, -5, 3 in increasing order. -5, -1, 3, s Let q = -2712 - -987171/364. Sort q, -1, -3/4 in descending order. q, -3/4, -1 Let f(q) be the first derivative of -q**4/4 - 5*q**3/3 + 3*q**2/2 + 14*q + 48. Let l be f(-5). Sort 2/5, 4, l, 1/5. l, 1/5, 2/5, 4 Suppose -89*s = 408*s + 1988. Sort 8, -8, 3, s in ascending order. -8, s, 3, 8 Let f be (1/2*2)/(-1). Let m(b) = b**3 - 32*b**2 - 42*b + 294. Let w be m(33). Sort f, -4, w, -5 in ascending order. -5, -4, w, f Let r = -5.7 - -5. Let n = r + 13.7. Suppose 6*d = -4*d + 21*d - 44. Sort d, n, 2/11 in decreasing order. n, d, 2/11 Suppose -22 = -2*j + 39*w - 35*w, 4*j - 24 = 3*w. Sort 246, 0.3, j, -2/11. -2/11, 0.3, j, 246 Let l = -1648.8 + 1644.8. Sort 0.3, 2, l, 3/14, 5 in decreasing order. 5, 2, 0.3, 3/14, l Let h be 1/1 + -4 + (-9 - -20). Sort -14, -1, h, 4. -14, -1, 4, h Let g = -1649 - -1653. Suppose 13 - 1 = -4*o. Sort -40, o, g. -40, o, g Let l(u) be the second derivative of -u**3/6 - 4*u**2 + u. Let k be l(-5). Let f = -7732 - -7737. Put f, -5, 3, k in decreasing order. f, 3, k, -5 Let q be 6/(-15) + (-1202)/(-5). Put q, -1, -5 in decreasing order. q, -1, -5 Let n = 7.89 - -0.11. Let l = n - 5. Let o = -12243.3 + 12243.5. Put -5, o, -0.4, l in decreasing order. l, o, -0.4, -5 Let t be ((-1884)/30)/((-94)/(-235)). Sort -5, -13, t in ascending order. t, -13, -5 Let c = -28.34 + 24.34. Sort -1, -11/6, c, -5 in decreasing order. -1, -11/6, c, -5 Suppose -123*x - 110*x + 11528 = -189*x. Sort x, 17, -3 in descending order. x, 17, -3 Suppose -5*c - 2 = 4*q - q, 0 = -4*c - 2*q - 2. Let m = 468 + -468. Let v = 1 - 6. Put m, v, c, 0.4 in increasing order. v, c, m, 0.4 Let h(n) = 9*n + 308. Let d be h(-34). Suppose 23*m + 4*g + 24 = 19*m, d*g + 6 = 0. Put -1/3, m, 4 in ascending order. m, -1/3, 4 Let c be (-1)/(-4) - (-165)/(-180). Let s(f) = -50*f - 5. Let n be s(1). Let i be ((-22)/n)/((-21)/(-5)). Sort -5, i, -0.2, c in descending order. i, -0.2, c, -5 Let g(w) = -3*w**2 + 64*w + 39. Let y be g(22). Sort 1, 4, 0, y, 6 in decreasing order. 6, 4, 1, 0, y Let j = 3.83 - -0.17. Suppose 144 = -197*n - 53. Sort j, -4, 2/7, n in descending order. j, 2/7, n, -4 Let i = -16 - -14. Let m be (-15 - -12 - (5 + -16)) + -13. Sort i, -4, m, -4/5 in ascending order. m, -4, i, -4/5 Let c = -112.992 - -113. Let q = 0.292 + c. Sort 1, q, -0.2 in decreasing order. 1, q, -0.2 Suppose 11*u = 13*u + u. Let a = -11 + 24. Let k = -8 + a. Put u, 2, k in descending order. k, 2, u Let l(f) = -f**2 + 10*f + 9. Let g be l(10). Let z be (7 - g)*(-1)/4. Let n = -231215/67 + 3451. Sort z, 0, n in decreasing order. z, n, 0 Suppose 5*m + 7 = 3*u, -5 = 3*m + 7*u + 8. Suppose 3*l + w + 8 = -3, 5*l = -4*w - 23. Sort l, m, -17 in decreasing order. m, l, -17 Let h(n) = -n**3 - n**2 + 18*n + 29. Let d be h(-4). Sort 1, 0, -46/3, -1/4, d in decreasing order. d, 1, 0, -1/4, -46/3 Let u be (9/(-4))/((-14)/(-168)). Let c = u + 59. Let m be 16/c*(0 - 8). Put m, -6, 0.4 in descending order. 0.4, m, -6 Let a be (8/6)/((-5)/15). Let n = 49 - 49. Suppose 0*y - 8*y + 16 = n. Sort a, 1, y, -5 in descending order. y, 1, a, -5 Suppose 19 = -10*q + 15 + 24. Sort q, 3, -11, -6. -11, -6, q, 3 Let a = 19 + -7. Let u be ((-5)/(-2))/(6/a). Let x = 53 - 55. Sort 0, u, -1, x in ascending order. x, -1, 0, u Suppose 2*n - 40 = -10. Suppose -r + 3*g - 9 = 0, 0*r - n = r - 5*g. Let o(y) = -y**3 + 16*y - 2. Let i be o(4). Sort -4, r, 1, i in descending order. 1, r, i, -4 Let y(t) = 74*t - 119. Let s be y(1). Let l = -12 + 15. Put -3, l, s, -5 in ascending order. s, -5, -3, l Let q(u) = -u**3 - 36*u**2 - 94*u + 170. Let j be q(-33). Put 7, j, 0, -5, -2 in descending order. 7, j, 0, -2, -5 Let i = 81.3 + 18.2. Let n = i + -100. Let v = 0.05 - 0.25. Sort n, v, 0.4 in decreasing order. 0.4, v, n Let j = 2/4765 + 42881/9530. Sort 5, j, 0.5. 0.5, j, 5 Let v be (-7 + (-924)/(-133))/(3/(-2)). Sort -4, 0.2, v in decreasing order. 0.2, v, -4 Let l be (-6 - -4)/(-4) + (-5 - (-42)/12). Sort -19, 69, l in ascending order. -19, l, 69 Let p(h) = -5*h**3 + h**2. Let j be p(-1). Let b = -383 - -383. Put 1/2, -2, j, b in decreasing order. j, 1/2, b, -2 Let s = -140.44 - -140.38. Put -1/4, s, 4/7, -2, -1 in decreasing order. 4/7, s, -1/4, -1, -2 Let y(i) = i**3 + 10*i**2 - 10*i + 13. Suppose -q - h - 14 = 0, 7*q - 2*q + 40 = 5*h. Let r be y(q). Suppose -r = -10*d + 9*d. Sort 1, d, 5 in increasing order. 1, d, 5 Let j(v) = -v**3 + 83*v**2 - 361*v + 94. Let w be j(79). Put -5, 4, w in increasing order. w, -5, 4 Let j be 6/(-9) + (-512)/(-624). Sort j,
{ "pile_set_name": "DM Mathematics" }
o. -4 Let q(b) = -28*b**2 - 757*b - 22. Let o be q(-27). Suppose -g = -3*h - 22, -3*h = -5*g + 2*h + 90. Solve -t + g = -o*t for t. -4 Let k be (-342)/(-66) - 5 - 40/(-22). Suppose k*u - 4 = 2*f + 6*u, 0 = -2*f - 3*u - 2. Solve f*m + 8 = -0 for m. -4 Suppose -5*f - 6 + 43 = -2*g, 5*g - 9 = -2*f. Suppose -8*w + f*w + 55 = 5*k, 0 = -3*k - 5*w + 55. Solve 14*p - k = 12*p for p. 5 Let h(b) = 20*b**3 - b**2 - 1. Let r be h(1). Suppose -r*m = -207 + 27. Solve m = 2*y + 20 for y. -5 Let x(j) = -238*j + 2383. Let t be x(10). Suppose w - 3*w = 0. Suppose 2*y - 9 = -y. Solve y*l = -w*l + t for l. 1 Let i = 315 - 303. Solve 0 = -12*j + i - 72 for j. -5 Let i be 3388/220 - 1/(5/2). Let c be -2*i/6 - 6*-3. Solve 6*r = 5 + c for r. 3 Let a be (-1)/(8/(-7) + 1) + (-452)/452. Solve -a*j = 19 - 31 for j. 2 Let u = 18 - -2. Suppose u = -6*b + 8*b. Let r(g) = 2*g - 16. Let o be r(b). Solve -w + 5 = o*w for w. 1 Suppose -v - 6 = -3*m - 40, -3*v + 4*m = -97. Solve 15*h + v = -14 for h. -3 Let j(t) = 20 + 20 - t + 0*t. Let r be j(35). Solve r*z - 11 - 9 = 0 for z. 4 Suppose -4*q - m = -1 - 2, -q - 5*m - 23 = 0. Suppose 4*g - 25 = z, g = 3*g + q*z. Solve 0 = -g*y + 14 + 6 for y. 4 Suppose 3*b + o = -o + 26, 23 = 3*b - o. Suppose 0 = -z - 7*z. Suppose z = -5*h - 2*h + 35. Solve -3*c + b*c = -h for c. -1 Suppose 47*x - 43*x = -5*k + 527, -3*x = 3*k - 318. Solve -k*c + 488 = 76 for c. 4 Let f be (-1 + 1144/24)/((-2)/12). Let v = f - -288. Solve 0 = -4*i - 0*i + v for i. 2 Let o(y) = y**3 + 4*y**2 - 4*y + 3. Let s be o(-5). Let l = -4104 - -4113. Let q be (12/l)/s*225/(-10). Solve q = -3*j - 0 for j. -5 Let d(x) = -19*x**2 + 968*x + 103. Let w be d(51). Solve 16*v + w = 3*v for v. -4 Let x(c) = -2*c**3 + 3*c**2 + c + 1. Let p be x(-2). Suppose -p*g = -26*g - 4. Let r be 1 + (22/(-18) - g/(-18)). Solve 3*a - 2*a - 1 = r for a. 1 Let s = 126 + -100. Suppose p + 8 = n, -n = -5*n + 2*p + s. Suppose 41 = 2*w - l + 10, -2*w - l = -25. Solve -1 = n*t + w for t. -3 Suppose 43*a - 42*a = 0. Suppose 4*m - 53 + 29 = a. Solve -4*n - m = -10 for n. 1 Let u(q) = -23*q + 428. Let z be u(16). Let n be (5 - 5)/((-2)/3*-3). Solve z*x - 63*x = n for x. 0 Let c be 0 + 1 + (2 + 0 - 1). Let l be c*1/(-4)*0. Suppose 2*h - 5*u - 11 = l, -4*h - 2*u = -7*h + 11. Solve -h = -2*t - 1 for t. 1 Suppose 0 = s + 12729 - 12857. Solve s = 19*j + 33 for j. 5 Let u be (3/2)/((-3)/(-30)). Let s(k) = 4*k**2 - 7*k - 4*k**2 + k**2 + 2*k**2 - 4*k**2. Let p be s(-7). Solve 0 = -p*b - 5*b - u for b. -3 Let y = -327 - -341. Solve y*a - 82 = -40 for a. 3 Suppose 8 = -x + 5*v, 4*v + 22 = 4*x + 6. Solve -x*n - 25 = -4 for n. -3 Suppose -4*j + 391 = 3*y, -5*y - 12 - 3 = 0. Let f be (-3)/(((-105)/j)/7). Solve -2*w - 2*w + f = 0 for w. 5 Let u(x) = -x**2 + 10*x - 11. Let z be u(9). Let p = 6 - z. Solve p = -3*f + 23 for f. 5 Let l be (-6)/(9 + -3)*7/(49/(-763)). Solve 27 = -l*w + 112*w for w. 9 Let x = 191 - 434. Let i = x - -246. Solve z = -i*z - 8 for z. -2 Let q(u) = 169*u + 2197. Let h be q(-13). Solve h = 90*m - 92*m - 12 for m. -6 Let r = 70 - 10. Suppose 0 = -7*t + 67 - r. Solve -b - 3 = -t for b. -2 Let n = -1494 + 1677. Solve n - 189 = -3*b for b. 2 Let v be (5 - 6) + 6 - -3. Suppose -3*a = -2*b + 6, 4*a = -13*b + 15*b - v. Solve -p + b*p = 0 for p. 0 Let v = -4289 + 4425. Solve 11*k + 23*k = v for k. 4 Let w(l) = -l**3 - 4*l**2 - 6*l - 3. Let r be w(-2). Let b(d) be the third derivative of d**5/20 + d**3/6 + 13*d**2. Let s be b(r). Solve 3*q = -s + 7 for q. 1 Suppose -w = 4*o - 81, -188*o + 4*w = -192*o + 84. Solve -2 - 18 = -o*v for v. 1 Suppose -207 = -67*p + 3478. Solve 58*g + p = 47*g for g. -5 Let i(n) = n**3 + 14*n**2 + 9*n - 61. Let t be i(-13). Let d be -17*14/(-63) - 2/t. Solve 5 = 3*u - d for u. 3 Let b = 133 - 129. Suppose -16 + 4 = -6*q. Suppose q*p + i + i - 4 = 0, 5*p - 4*i = 28. Solve 0*l = b*l + p for l. -1 Let o = 9 + -3. Suppose -f + 233 = 33*f + 63. Solve -o*u + 1 = -f*u for u. 1 Suppose 6*k - 24 = 3*n + 10*k, 0 = k + 6. Suppose u = -u + 10. Solve -v = -n + u for v. -5 Let f = 64 + -56. Solve -36*r - 28 = -f*r for r. -1 Suppose -12*w + 342 + 226 = -92. Solve -90*i + w = -101*i for i. -5 Let z = -82 + 96. Suppose 5*l + 44 = z. Let m(h) = -2*h + 6. Let d be m(l). Solve -3*x + d = 3 for x. 5 Let m be -434 - 7 - 18/3. Let j = -416 - m. Solve 16 = j*r - 27*r for r. 4 Suppose -2*l + 3*i - 15 = 0, l - 15 - 10 = -5*i. Suppose -21 = -7*d - l. Solve d = -4*t + 19 for t. 4 Suppose 4*s - 3*l = -5, -4*l - 2 = s + 4. Let q(i) = -2*i**2 - 9*i - 9. Let y be q(s). Solve -y = m + 4 for m. -5 Let h(d) = -d**2 + 7*d + 7. Let f(v) = v**2 - 8*v - 8. Let p(m) = -5*f(m) - 6*h(m). Let g be p(-1). Suppose -g = -n + 4. Solve 16 = -n*t - 4 for t. -4 Let s(t) = 3*t**2 + 44*t - 19. Let j be s(-15). Let k be (-2)/(j/(-1)) + 21/6. Solve -z + k*z = 8 for z. 4 Suppose -551*n = -270*n - 236040. Solve 833*s = n*s + 56 for s. -8 Let d be (-1260)/33 + 1 + (-4)/(-22). Let w = -16 - d. Suppose 5*r - 7 = -6*n + 7*n, 5*n - w = -3*r. Solve 6*v - r*v = -20 for v. -5 Let h be ((-234)/(-65) + -6)/((-3)/(121 - 1)). Solve 0 = -9*o + h - 150 for o. -6 Let m = 126 + -145. Let y = -17 - m. Suppose y*x + 42 = 5*x. Solve -6 = -5*f + x for f. 4 Let q(v) be the second derivative of 7/2*v**2 + 4/3*v**3 + 1/6*v**4 + 25 - 2*v. Let f be q(-3). Solve 13*n - 12*n + f = 0 for n. -1 Let g(j) be the third derivative of -j**5/60 + 5*j**4/12 + 4*j**3 - 58*j**2. Let o be g(12). Solve o = 5*p - 20 - 0 for p. 4 Let r(k) = k**3 - 41*k**2 - 140*k - 23. Let t be r(44). Let j = 375 + t. Solve 2*m + 8 = -j*m for m. -4 Suppose 744 = 15*y + 31*y + 47*y. Solve -y*f + 28 - 20 = 0 for f. 1 Let p be (1 + 0)/(((-3)/15)/1). Let r be 1 - (p - (3 - 7)). Solve 3*u = 5 - r for u. 1 Let d be 205/(-2)*56/(-70). Solve 0 = d*m - 88*m - 24 for m. -4 Let w = -2435 + 2445. Solve -13*c = w*c + 23 for c. -1 Let x be (-1097)/(-7) + -1 + (-22)/(-77). Suppose 165*r - x*r = 18. Solve 0 = r*v + 10 - 2 for v. -4 Let l = -608 + 596. Let m be 140/(-40)*l/14. Solve 27 = -m*w + 24 for w. -1 Let y be (-182)/(-3) + 4592/123 + -38. Solve y = -16*r + 6*r for r. -6 Let j be (28/2)/(4 + -3). Suppose -q + 19 = j. Suppose -3*x = -2*g + 5, -4*x = 2*g - 3*x - 17. Solve -q*v + g = -3 for v. 2 Let n be 6/9*(30 - 3). Let i = -12 - -12. Suppose i = -8*f + n - 2. Solve f = 2*v - v for v. 2 Let a(r) = 92*r - 10651. Let f be a(137). Solve -1943*p = -f*p - 70 for p. -7 Let q(f) = f**2 - 5*f + 6. Let b(i) = -i**2 + 8*i + 19. Let s be b(10). Let o be 1 - s/(5/5). Let x be q(o). Solve x = 2*a + 2*a for a. 0 Let k(o) = -2 - o + 1 - 3 + 0*o. Let f be k(-14). Suppose -4*q = 6 - f. Solve 4 = -5*d - q for d. -1 Let h = -8484 + 8502. Solve -453*g + 447*g = h for g. -3 Let r(s) = 111 + 42*s - 25*s - 35*s. Let p be r(6). Solve -p*d + 32 = 20 for d. 4 Suppose 8 = -2*k + 6*k. Suppose 0 = -15*a + 36*a - 42. Solve k*w + 0 = a for w. 1 Let g = -8553 - -8570. Solve -52 = -g*o + 67 for o. 7 Suppose 3*y = 9*y - 36. Suppose -m + 3*a = 77, 0 = y*m - 3*m + 4*a + 283. Let l = m - -89. Solve 3*c - c = l for c. 0 Let c = -91 - -85. Let a be -1 - (3/(-1) + c/3). Suppose -q = -z + 8, -z + 13 = 2*q - a. Solve -1 = 4*g + z for g. -3 Suppose 5*h - 7*y = -2*y + 6315, -5 = -y. Solve -1260*r = -h*r for r. 0 Let w = 24545 - 24405. Solve 216 = w*d - 164*d for d. -9 Let u be 4/(3/(-9) + 125/393). Let r = u + 286. Solve -r*z = -20*z for z. 0 Let k(s) = s**3 + 38*s**2 + 151*s - 35. Let i be k(-5). Solve -10*n = 15 + i for n. -5 Suppose 4*t - 4*c + 6*c + 42 = 0, -2*t - 3*c = 11. Let d be ((-2)/(-7))/(t/(-728)). Solve m + 11 = d for m. 5 Let w(l) = l**3 + 4*l**2 - 4*l + 5. Let c be w(-5). Suppose 2*x - 5*i + 15 = -1, 16 = 4*x + 2*i. Suppose x*k + 14 - 18 = c. Solve 2*v - k = -4 for v. -1 Suppose 0 = 5*n - 4*n - 3*u - 6, u = -2*n + 5. Suppose -w + n = 0, 7*s - 3*s = 4*w + 4. Solve -12*c + s = 40 for c. -3 Suppose 3*n = 2*a + 3*a - 22, 2 = -2*a + 3*n. Solve 51*o = a*o + 172 for o. 4 Suppose x = -x. Let w = -134 - -140. Suppose x = -3*m + 6 + w. Solve -m*t - 5 - 11 = 0 for t. -4 Let z = -299 + 296. Let x be z*2/(-72) - (-812)/48. Solve x*w - 13*w = -4 for w. -1 Let d = 7694 + -7641. Solve 60*i - 7 = d*i for i. 1 Let s be (-6)/15 - 6/(-15). Suppose s = -3*x + 9 + 6. Suppose -2*o + 25 = x*q, 4*o - 14 = -q + 3*q. Solve -2*r = -7*r - o for r. -1 Suppo
{ "pile_set_name": "DM Mathematics" }
= -571.75997 + 575.76. Let r = 3.964 - -0.036. Let s = g - r. What is s rounded to five decimal places? 0.00003 Let q = 167.44873 + -93.448658. Let k = 74 - q. Round k to 5 decimal places. -0.00007 Let w = 512.00000984 - 512. Round w to seven decimal places. 0.0000098 Let g = -26.3 - 12.7. Let m = -38.99893 - g. Round m to 4 decimal places. 0.0011 Suppose 5*c = -2*p + 1477, 0*p - 3*p = 5*c - 1478. Suppose -b - c - 305 = 0. What is b rounded to the nearest one thousand? -1000 Let i = -32.8 - 9.2. Let b = -41.99978 - i. What is b rounded to five dps? 0.00022 Let f = -1337 + 1336.97005. What is f rounded to three dps? -0.03 Let p(g) = -12*g**2 - 3*g + 1. Let w be p(1). Let q be (35/w)/((-10)/24). Suppose q*i = 2944 - 4. Round i to the nearest 100. 500 Let g = 535171872.999889 + -535171645. Let h = 228 - g. Round h to 4 decimal places. 0.0001 Let y be 517057/9 + 8/36. Let g = -24025 - -46574. Suppose f = -g - y. Round f to the nearest 100000. -100000 Let a = 10220276010.9999773 + -10220276565. Let y = -554 - a. Round y to 6 dps. 0.000023 Let x = 11.74 - 13. Let a = x - -1.25838. Round a to four dps. -0.0016 Let x(h) = -h**3 + 9*h**2 - 4*h - 7. Let q be x(8). Suppose 24*s = q*s + 2730. What is s rounded to the nearest 100? -2700 Let n = -8.76 - -8.759999533. What is n rounded to 7 decimal places? -0.0000005 Let t(z) = 8*z**3 - 4*z**2 - 10*z - 8. Let d be (-67)/4 - (-4)/(-16). Let o = -23 - d. Let a be t(o). Round a to the nearest 100. -1800 Let m = -434 + 761. Suppose 4*u + 369 = -m. Round u to the nearest 10. -170 Suppose 55*g - 19365000 = 58*g. What is g rounded to the nearest one million? -6000000 Suppose 5*c = 15, 0*x - 4*x + 5*c + 5 = 0. Suppose -108 = -x*t + 4*r, -4*t - 2*r - 66 = -7*t. Let s be 10000/(-3)*t/16. Round s to the nearest ten thousand. -10000 Let w = -0.10700577 - -0.107. What is w rounded to 7 dps? -0.0000058 Let n = 0.312 + -131.312. Let h = -97884.9 - -98015.9162. Let x = h + n. Round x to 3 decimal places. 0.016 Let d = 1524994150.00000092 + -1524994183. Let o = 0.025 + 32.975. Let i = d + o. What is i rounded to seven dps? 0.0000009 Let t = 7.293 + 0.007. Let k = t - 7.30000256. What is k rounded to six dps? -0.000003 Let a = 3228.58611 - 3183.695. Let h = -44.641 + a. Let g = -0.25 + h. Round g to 4 dps. 0.0001 Let j be (-5384)/((((-84)/(-385))/4)/15). What is j rounded to the nearest one hundred thousand? -1500000 Let n = -7.47 + 7.5. Let m = n + -0.0314. What is m rounded to 4 dps? -0.0014 Suppose 0 = 4*j - j - 795. What is j rounded to the nearest 10? 270 Let k = 143 - 334. Let a = k + 189.59. Round a to 1 decimal place. -1.4 Let o = 2260 + -2265.966. Let b = 24.934 + -25. Let r = o - b. What is r rounded to zero decimal places? -6 Let m = 0.08953 + -0.0999. Round m to four decimal places. -0.0104 Let m = -61.973 + 62. Let x = -0.0270021 + m. What is x rounded to 6 dps? -0.000002 Let b = -20.06 + -5.84. Round b to zero dps. -26 Suppose -3*i - 73980 = -4*y + 2*i, -4*y - 5*i = -74020. What is y rounded to the nearest 10000? 20000 Let n = 42.19991798 - 42.2. Round n to six decimal places. -0.000082 Let t = 12.34 + -12. Let i = -0.2 + t. Let z = i - 0.28. Round z to 1 decimal place. -0.1 Let j = 2.4 + -3.16. Let n = -55.24 + j. Let i = n - -56.000134. What is i rounded to 5 decimal places? 0.00013 Suppose 7*t + 66880000 = -4*t. What is t rounded to the nearest 100000? -6100000 Suppose -2*v + 0*l + 2*l - 788 = 0, -3*l = 3*v + 1194. Let c = v + 111. Let s = 175 - c. Round s to the nearest one hundred. 500 Let c = 11.36 - -0.54. Let a = -11.9000196 + c. What is a rounded to 6 decimal places? -0.00002 Let b(w) = -782*w + 6. Suppose i + 3*i + 2*f + 18 = 0, -2*f - 10 = 0. Let y be b(i). Round y to the nearest 100. 1600 Let x = 0 - -1. Let i = -565 + 565.993. Let j = x - i. Round j to two decimal places. 0.01 Let a = -0.2003 - 6.9357. What is a rounded to one dp? -7.1 Let h = 215 + -87. Let j = -88 + h. Round j to the nearest one hundred. 0 Let l(c) = -354*c**3 + 10*c**2 + 41*c - 30. Let t be l(-18). Suppose -3*u - 5*a = -a - t, u = 3*a + 689000. What is u rounded to the nearest ten thousand? 690000 Let o = -186 - -362. Let q = -176.000351 + o. What is q rounded to 5 decimal places? -0.00035 Let d = -243.5734 + 244. What is d rounded to 1 decimal place? 0.4 Let r = 72 - 49. Suppose -r*l = -21*l + 874. What is l rounded to the nearest ten? -440 Suppose 20268 + 23721 = 31*n. Round n to the nearest one hundred. 1400 Let k(f) = 9*f**3 + f**2 + 8*f - 5. Let o be k(-5). Round o to the nearest one hundred. -1100 Let c = -472 - -496.7. Round c to 0 decimal places. 25 Let u = -8.1 + -5.9. Let b = 14.017 + u. What is b rounded to two dps? 0.02 Let v(h) = -h + 21. Let z be v(-7). Let u be 3/(-9)*z - (-16)/(-24). What is u rounded to the nearest 100? 0 Suppose -3*y = -y - o - 495, 0 = -4*y - 4*o + 1020. Let x be y*-8*158/(-8 + 6). Round x to the nearest ten thousand. 160000 Let d = 58 - 55.02. Round d to zero dps. 3 Suppose -4*f - 5*o = -69, -f = -4*o + 3 - 15. Suppose 2 = -q - f. Let t be (-4449997)/(-5) - q/30. Round t to the nearest one hundred thousand. 900000 Let s = -13353.541 - -13360. What is s rounded to one decimal place? 6.5 Suppose 7*l = 8*l - 296. Suppose 0 = 6*d - 142 - l. Round d to the nearest ten. 70 Let f = 10.676 + -10.8. What is f rounded to 2 dps? -0.12 Let v = -17.100115 + 17.1. Round v to six decimal places. -0.000115 Let x = 373.4500306 - -49.5504314. Let p = 423 - x. What is p rounded to 5 decimal places? -0.00046 Suppose 127*b - 112*b - 1279500 = 0. Round b to the nearest ten thousand. 90000 Let a = -0.2156 - -0.22. Round a to 3 decimal places. 0.004 Let j = -1.2 + 1.23. Let o = -0.19 + j. Let t = -0.16005 - o. What is t rounded to five dps? -0.00005 Let w = -14754.5 - -14754.304542. Let n = w - -0.196. Round n to 4 dps. 0.0005 Let l = 1711773 + 3038227. Round l to the nearest one million. 5000000 Suppose -d - 5*t = 4, 5*d - 20 = -0*t - 5*t. Let l = 7 - d. Let u be (-3899985)/15 - (2 - l). Round u to the nearest one hundred thousand. -300000 Let f = -35345.067 - -35391. Let o = f + -46. Round o to 2 decimal places. -0.07 Let f = 272048 - 272047.9369916. Let y = f - 0.063. Round y to 6 dps. 0.000008 Suppose -g - 2*r = -1653 + 214, -7125 = -5*g + 4*r. What is g rounded to the nearest 1000? 1000 Let t = 22.6 - -0.4. Let l = 22.999982 - t. What is l rounded to five dps? -0.00002 Let t = -11163.602 + 11175. What is t rounded to the nearest integer? 11 Let z(k) = 9*k + 727*k**3 + 8 + 9*k - 15*k**2 - 20. Let u = -79 - -66. Let v be z(u). What is v rounded to the nearest one hundred thousand? -1600000 Let u(d) = -d**2 - 10*d - 10. Let z be u(-10). Let o(w) = w + 8. Let g be o(z). Let v be g/(-8) + (-83)/(-4). What is v rounded to 0 dps? 21 Let n = 0.049 + -7.649. Let s = n + 1.2. Round s to 0 dps. -6 Let a be ((-132555)/2)/((-7)/140). Suppose -l = 8574450 + a. Round l to the nearest 1000000. -10000000 Let p = -27.5629 - 0.3471. Round p to 1 decimal place. -27.9 Let f = -190.95 + 0.95. Let n = f - -190.0000251. What is n rounded to 6 dps? 0.000025 Let x = -3.03 - -1.756. Round x to 1 dp. -1.3 Let l(n) be the third derivative of n**5/60 - n**4/3 + 11*n**3/6 + 8*n**2. Let p be l(8). What is p rounded to the nearest ten? 10 Let k = -674224 + 5226968. Let y = k - 2282744. Round y to the nearest one hundred thousand. 2300000 Suppose 0 = 4*s + 2*f - 0*f - 97762, 0 = -3*s - 3*f + 73323. Let v be (9*-28 - -2)/(13/s). What is v rounded to the nearest one hundred thousand? -500000 Let h = 0.0317 + -0.057. What is h rounded to two dps? -0.03 Let y = -3804770 + 2208782. Let j be y/20 - (-15)/(-25). Let u be (3 - 1)/(14/j). What is u rounded to the nearest one thousand? -11000 Let w(o) = 61336*o**2 + 19*o - 52. Let u be w(4). What is u rounded to the nearest 10000? 980000 Let i = 24.1241142 - 0.1244742. Let h = -24 + i. Round h to 4 dps. -0.0004 Let n = 28 + -26. Let p(f) = 39001*f - 2. Let q be p(n). Round q to the nearest ten thousand. 80000 Let l = 125 - 124.599. Round l to one dp. 0.4 Let j = 1825 + -1001. Let s = 1574 - j. Round s to the nearest one hundred. 800 Let o = 409 + -441.84. Let d = 9.46 - o. What is d rounded to 0 decimal places? 42 Let k = 34.472 + -3.812. Let h = -0.071 - -30.071. Let r = h - k. Round r to one dp. -
{ "pile_set_name": "DM Mathematics" }
e -n = -16*w + 7956. What is the tens digit of w? 3 Suppose 5 = 5*t, -1713*z - 2*t + 13322 = -1710*z. What is the tens digit of z? 4 Let p = 47 - 43. Suppose -p*b = -5*l + 20, 4*b = 3*l - 15 - 5. What is the units digit of (-1896)/(-28) - l - 4/(-14)? 8 Let l(y) = -6*y - 5 - 16 - 3 - 17*y. Let k(h) = h**2 + 28*h + 18. Let g be k(-27). What is the tens digit of l(g)? 8 Let f(i) = 7757*i - 4420. What is the ten thousands digit of f(4)? 2 What is the hundreds digit of (-3)/21 - (0 - (-805528)/(-119))? 7 Let q(v) = 2*v**3 + 109*v**2 - 9*v - 168. What is the tens digit of q(-52)? 2 Let y(x) = x**3 + 20*x**2. Let f be y(-20). Suppose n + 76 - 81 = f. Suppose 0 = n*h - 3*h - 126. What is the units digit of h? 3 Let f(x) = -32*x - 5. Let z(y) = 32*y + 7. Let s(t) = 3*f(t) + 4*z(t). What is the tens digit of s(18)? 8 Let t = 66 + 475. Let k = 1049 - t. What is the hundreds digit of k? 5 Let r(t) = -773*t - 137. Let v be r(-4). What is the hundreds digit of v*((-171)/(-27) + -6)? 9 Let n be (41/(-82))/((-2)/16). Suppose u = 216 + 132. Suppose 5*p + 21 - 420 = -4*f, -4*p = -n*f - u. What is the units digit of p? 3 Let q be 3*(-20)/4*(-114)/10. Let c = q - -26. What is the units digit of c? 7 Let b(m) = 4*m + 114. Suppose -236 - 226 = -22*a. What is the hundreds digit of b(a)? 1 Let h = -5540 - -2748. Let n be h/(-20) + (-4)/(-10). Suppose -2*d + n = -56. What is the tens digit of d? 9 Let b(t) = 9*t**3 - 2*t - 1. Let i be b(2). Suppose x - j + 106 - 165 = 0, 5*x - 323 = -2*j. Let c = x + i. What is the hundreds digit of c? 1 Let v(b) = 7*b**2 - 5*b - 7. Let k be (2 + 3)/5 + -3. Let z be v(k). Suppose 32*j - 253 = z*j. What is the units digit of j? 3 Let u = 0 + 1. Let q(i) = 8*i + 2. Let h be q(u). Suppose 200 = 5*w - h. What is the tens digit of w? 4 Let p be (-10)/(-4) - 13/26. Suppose 3*w - p*g = 837, 0 = -2*g - g - 9. What is the tens digit of w? 7 Let i = 46 - -3. Suppose 0 = -5*z - 3*z + 608. Suppose i = 5*j - z. What is the tens digit of j? 2 Suppose 4*d = -3794 + 32342. What is the hundreds digit of d? 1 Suppose -24*v + 132734 = -51466. What is the hundreds digit of v? 6 Let x = 381 - 375. Suppose -5 = -5*r, -4*c = -x*c - 5*r + 1639. What is the tens digit of c? 1 Let o be (27/6)/((-2)/52). Suppose z - 43 - 174 = 0. Let u = o + z. What is the tens digit of u? 0 Let d(q) be the second derivative of -4*q**3/3 + 94*q**2 - 3*q - 5. What is the hundreds digit of d(0)? 1 What is the tens digit of 1/6 - ((-4406710)/84)/55? 5 Suppose 38 = -2*i + 42. Suppose i*o + 218 = -4*v + 8*v, -5*o - 97 = -2*v. What is the units digit of v? 6 What is the units digit of 34/(8 + (-21675)/2710)? 8 Let u be (-98)/(-12) + (-2)/12. Suppose u*s - 12 = 6*s. Suppose -7*l + 80 = -s*l. What is the units digit of l? 0 Suppose 141*q + 6166734 = 547*q. What is the thousands digit of q? 5 Let l = 29 - 24. Suppose 2*n = 4*v + 4472, -l*n + 4*n = 3*v + 3364. What is the hundreds digit of (9/(-6))/(12/v)? 1 Suppose -4*s - 8 = 4*x, -3*x = 4*s + 1 + 7. Suppose x = -5*z - 7 - 3. Let o = 133 + z. What is the units digit of o? 1 Let b(p) = 101*p**2 - 2*p - 1. Let h(c) = 506*c**2 - 12*c - 5. Let s(l) = 11*b(l) - 2*h(l). What is the tens digit of s(-1)? 9 Let l(z) = z**2 - 11*z + 12. Let h be l(6). Let b = h - -22. Suppose -579 = -3*u - 2*f, b*f = 2 + 10. What is the hundreds digit of u? 1 Let q(g) = 9*g + 14. Let j(d) = -10*d - 12. Let k(o) = 5*j(o) + 4*q(o). Let x(n) = -2*n. Let m be x(2). What is the units digit of k(m)? 2 Let f(n) = 21*n**3 - n. Let v be f(1). Let h be 2/(-5) + v/50. Suppose h = 2*q + 13 - 77. What is the units digit of q? 2 Suppose 19*u + 1374 = 2*p + 21*u, 0 = 5*p + 3*u - 3445. What is the units digit of p? 2 Let w = 12 + -6. Let f(v) = v**3 + 31*v**2 + 62*v + 139. Let c be f(-29). Suppose 0 = w*r - c - 25. What is the units digit of r? 8 Let l = 2648 + 240. What is the tens digit of l? 8 Let d(q) = 4 + 684*q + 31 - 777*q. What is the hundreds digit of d(-8)? 7 Let q(f) = 1019*f**2 + 151*f - 608. What is the units digit of q(4)? 0 Let y = -476 + -203. Let h = y + 1169. What is the tens digit of h? 9 Let z = 338 - 338. Suppose 47*k - 11*k - 7848 = z. What is the hundreds digit of k? 2 What is the units digit of 35/2*136200/125? 8 Suppose -48*p = -52*p + 8. Suppose m - 50 = 5*d, -m = -p*d - 22 - 19. What is the tens digit of m? 3 Suppose -335*a - 3889436 + 12520969 = -2833507. What is the ten thousands digit of a? 3 Suppose -197*d + 198*d = -3*u + 30637, -3*d + 20427 = 2*u. What is the tens digit of u? 1 Suppose 6*t = 7*t - k - 8403, 2*t - 4*k = 16818. What is the tens digit of t? 9 Let u(s) = s**2 + 566. Let i(z) = 20*z + 240. Let x be i(-12). What is the units digit of u(x)? 6 Let p(j) = -21*j - 186. Let o be p(-17). Let l = 155 + o. What is the hundreds digit of l? 3 Suppose 44*h + 0 = 132. Suppose -5*r = -5*s + 985, -7*s + 3*s = -h*r - 788. What is the hundreds digit of s? 1 Let k = 499 - 364. Suppose -138*m = -k*m - 2220. What is the tens digit of m? 4 What is the units digit of 6 + (448034/22 + 1 - (-264)/(-1452))? 2 Suppose 0 = 6*o - 9*o + 5*m + 515, 0 = -o - 4*m + 166. Let i = o + 641. What is the hundreds digit of i? 8 Let t(x) = 921*x**3 - 8*x**2 + 47*x - 45. What is the units digit of t(3)? 1 Let u = -69 + 7. Let k = 74 + u. What is the hundreds digit of k/(-54) + (-2812)/(-18)? 1 Let p(m) be the second derivative of 4*m**4/3 - 37*m**3/6 + 125*m**2/2 - 2*m - 58. What is the units digit of p(4)? 3 Let n(q) = -q**3 - 7*q**2 - 8*q - 22. Let m be n(-9). Let p = m + 78. What is the hundreds digit of p? 2 Let l(p) = -3*p - 13. Let c be l(-6). Suppose 11*f = 165 + 7689. Suppose -c*j = -3*j - 5*u - 281, -5*j + u = -f. What is the units digit of j? 3 Let r = -42 - -47. Suppose u - 10 = -r*s, -5*s - 20 + 55 = -4*u. What is the tens digit of -3 - (1 - (16 + s))? 1 What is the hundreds digit of ((-78610)/28)/(8/(-32))? 2 Let y(k) be the third derivative of -k**4/8 + 14*k**3/3 + 37*k**2 + 2*k. What is the tens digit of y(4)? 1 Let o be 6/(-4) + (-13)/((-104)/924). What is the tens digit of (o/5)/(6*(-4)/(-60))? 5 What is the hundreds digit of 85005/35 - 185/259? 4 Let b(w) = -w**3 - 17*w**2 - 16*w + 24. Let p be b(-19). Let v = 1594 - p. What is the hundreds digit of v? 5 Suppose n - 2*m + m - 6115 = 0, 18329 = 3*n + 5*m. What is the units digit of n? 3 Let y be ((-12)/(-24))/((-1)/(-14)). Let r = y + -5. Suppose -3*c + 84 = -r*c - 3*u, 0 = -c + 4*u + 82. What is the tens digit of c? 9 Suppose 3*o - 728 = -5*r, o + 5*r - 243 = -17. Let q = -219 + o. What is the tens digit of q? 3 Suppose -5*h + 2522 = 4*m, 20*m = 24*m + h - 2514. Suppose 0 = p + v + 3*v - m, -3*p + 1944 = -3*v. What is the hundreds digit of p? 6 Let r be 3/4 - (-1002069)/36. Suppose -22*y = 864 - r. What is the units digit of y? 6 Let f(p) = -p**3 - 2*p - 52. Let n be f(0). Let a = n - 10. Let m = a + 127. What is the units digit of m? 5 Suppose 29 - 17 = -6*m. Let n(u) = -168*u - 7. What is the units digit of n(m)? 9 Let g(r) = r**2 + 2*r - 1. Let a(m) = 5*m**2 - 16*m. Let c(k) = a(k) + 2*g(k). What is the hundreds digit of c(9)? 4 Suppose 2*b + 1489 = 3*z - 1626, 2*z - 2*b = 2078. Let u = z + -381. What is the hundreds digit of u? 6 Let g = 1757 - 1051. What is the tens digit of g? 0 Suppose 11*z - 58 - 140 = 0. Let n(x) be the third derivative of -x**5/60 + 23*x**4/24 - 13*x**3/3 - 7*x**2. What is the tens digit of n(z)? 6 Let f(v) = -v**3 - 5*v**2 - 5*v. Let j be f(-4). Let w be 16 + -13 + j*8. Let b = w + -4. What is the units digit of b? 1 Suppose -129*x + 35795 = 5*o - 126*x, -2*x + x = 0. What is the hundreds digit of o? 1 Suppose 77*g - 71*g = -36. What is the tens digit of (24156/(-88))/(g/16)? 3 Let k(p) = 2*p - 8. Let v be k(2). Let y(a) = -44*a - 36. Let s(o) = -15*o - 12. Let q(i) = 10*s(i) - 3*y(i). What is the tens digit of q(v)? 6 Suppose -5*a = -0*t + t - 2893, -2*t + 5786 = 4*a. Suppose t = 4*s + 3*o, -5*s = -4*o + 5*o - 3619. What is the tens digit of s? 2 Let q(u) = -25*u - 11*u + 14*u - 19*u - 87. What is the tens digit of q(-7)? 0 Let u(i) = 213*i**2 - 356*i - 14. What is the tens digit of u(-7)? 1 Let x = -206 - -110. Let f = 219 + -20. Let y = f + x. What is the tens digit of y? 0 Suppose 155*x = 148*x + 14. Suppose -153 = -x*a + 71. What is the tens digit of a? 1 Let s(r) = -r
{ "pile_set_name": "DM Mathematics" }
. Let r be i(3). Let v be -1*(0 - -1)*-3. Solve 2*k - v*k - b = r for k. -4 Let g be (-10)/50 - 78/10. Let n be -1*(4 + (g - 1)). Suppose -4*o = 5*s - 3*s + 12, 2*s - n*o - 33 = 0. Solve -u - s*u - 25 = 0 for u. -5 Let h be 0/(20/4 - 6). Let j be -3 + (-3 - -5) + h/(-1). Let g be 4 + j + -4 + 3 + -2. Solve 2*m + 1 - 3 = g for m. 1 Suppose -5*b + h = -960, -7*h + 2*h + 1344 = 7*b. Solve -b = 6*v + 58*v for v. -3 Suppose 20 = 4*f, -17*m + 15*m = -5*f - 7. Solve -56*o + 64*o = m for o. 2 Let a be 7*(5/15)/(4/6)*2. Let h(i) = -i**3 - 5*i**2 + 5*i - 2. Let t be h(-6). Solve g = -a + t for g. -3 Suppose 4*z - 20 + 10 = 3*i, -17 = 3*i - 5*z. Solve -3*p = i + 12 for p. -6 Suppose 3*p + 95 = 2*w, -2*p + p = -4*w + 35. Let c = p - -61. Suppose -134*i - c = -137*i. Solve i = -3*j - 2 for j. -4 Let j(q) = -3*q + 15. Let k be j(3). Let d be k - -18*6/12. Solve -z + 6*z = -d for z. -3 Suppose -2*j = -3*q - 3*j + 12, 2*j = q + 3. Suppose -3*k + 4*t + 23 = -30, 5*t - 35 = -q*k. Let r be 2/(-1*(-6)/k). Solve 5*g + 15 = -r for g. -4 Let v be (2/3 - 0)/(7/21). Suppose v*c = -n, 2*c + 2 = -c - 2*n. Solve -3*a = c*a - 20 for a. 4 Suppose -38 = 28*g - 1061 - 461. Solve 27*b + g = -55 for b. -4 Let m(f) = f**3 - 34*f**2 + 34*f - 15. Let h be (-66)/(-44) - (-126)/4. Let c be m(h). Solve z - 13 + c = 0 for z. -5 Let r be 3 + -3 - (-2 - -8). Let k(i) = i**2 + 6*i + 6. Let p be k(r). Let v be ((-4)/10)/(p/(-30)). Solve -l - v = 1 for l. -3 Let v = 68 - 69. Let u be 10/((3 + -4)*v). Suppose -4*p - w = -u, p + w + 4 = 4*w. Solve 0 = -a - p*a + 15 for a. 5 Let r(v) = v**2 - 6*v + 6. Let s be r(6). Let m(d) = -21*d - 1170. Let l(q) = 4*q + 235. Let h(g) = -24*l(g) - 5*m(g). Let p be h(-23). Solve b - s = p*b for b. -3 Suppose 3*w + 1 = 2*w, 0 = -4*u - 5*w - 17. Let x be (-6 - u)/((-6)/4). Solve -5*i = -7*i - x for i. -1 Let c = 927 + -327. Let f = 605 - c. Solve 2*h - 7*h = f for h. -1 Let a be (14/63 - (-38)/(-9)) + 4. Let f be -30*(4 + 52/(-12)). Suppose 5*o - f = 0, 22 = 4*z + o + 4. Solve 4*d + 0*d - z = a for d. 1 Let k be (-10)/55 - -2*2/22. Suppose z - 4 = 0, -5*g + k*z + 54 = z. Solve 7*u = g*u + 12 for u. -4 Let g = -17630 - -21064. Solve -7*x - 3427 = -g for x. 1 Suppose -2*c = -5*m + 3*c - 110, 0 = 2*m - 5*c + 44. Let u(r) = -25*r - 525. Let y be u(m). Suppose 3*s - 6 = 3. Solve -y = -8*d + s*d for d. 5 Suppose -5*t + 274 = -4*v - 7*t, -208 = 3*v + 4*t. Let g = 119 + -51. Let f = v + g. Solve c + f = 1 for c. 1 Let v be 2*-52 + -12*6/(-18). Let p = 115 + v. Suppose -4*s + 10 = -2*u, -3*s - 3*u = -2*s + p. Solve -4*z + 0 - 4 = s for z. -1 Let x(h) = -h**3 + 19*h**2 - 17*h - 10. Let a be (-32)/(-2) + (0 - -2). Let o be x(a). Suppose 2 - o = -3*l. Solve -j = l*j + 12 for j. -4 Suppose -10*x + 110 - 40 = 0. Let f(a) = a**3 - 5*a**2 - 14*a - 5. Let z be f(x). Let k be 12/3 + -6 - z. Solve 3*q - k = -0 for q. 1 Let d be (-24)/(-30) - (-1924)/20. Let f(n) = -7*n + 303. Let p be f(30). Solve -d*x + 8 = -p*x for x. 2 Let t(x) = -2*x**2 + 23*x + 8. Let i(q) = -q**2 + 23*q + 7. Let m(p) = 3*i(p) - 2*t(p). Let v be m(-27). Let s = v + -106. Solve -3*k + s*k = 0 for k. 0 Let j(d) = -d**2 - 11*d + 28. Let k be j(-13). Suppose -2*u = 4*c - 8, -32 = -k*u - 3*u + 2*c. Solve 15 = u*m - m for m. 3 Let d be 4/(-6)*(-27)/6. Suppose 19083*q - 19087*q + 48 = 4*y, 5*y + 2*q = 87. Solve -d*o - 9 = -y for o. 4 Let g(y) = -91*y + 1015. Let x be g(11). Solve -x*s = -7 + 35 for s. -2 Let w be (-1)/((-3)/(-2) - 2). Let f = -80026 + 80032. Solve f = -t - w*t for t. -2 Let i(l) = 22*l**2 - 3*l - 10*l**2 - 6 + 4 - 8*l**2 + l**3. Let m be i(-4). Solve 2*q - m = -0*q for q. 5 Suppose 0 = -j + 2*w + 14, -j + 1 = -3*w - 19. Suppose 4*u = 5*r - 9, -4*u + 7*u - 2 = 2*r. Solve -j*g - 12 = u*g for g. -2 Let p = 3098 - 2573. Solve 21 + p = 78*c for c. 7 Suppose -24*b + 556 - 206 = -322. Solve 23*l - b = 18 for l. 2 Let o be 0*((-840)/50 - -17). Solve o = 19*z - 15 + 148 for z. -7 Let g(s) = 7*s + 51. Let p be g(-7). Suppose 0 = -31*k + 40*k - 180. Solve -6*v = -p*v + k for v. -5 Let i be ((-3)/2)/(6/(-8)). Suppose -2*c + 4 = -i*j, 11 = 3*c - 0*j + 2*j. Suppose -5 = c*b - 8*b + 5*m, 0 = -3*m + 15. Solve 0 = -b*k + k for k. 0 Let c be (-33136)/(-66) - (-306)/(-5049). Solve 0 = 497*d - c*d + 15 for d. 3 Suppose 7*d = -2*y + 66, -4*y = y + d - 132. Solve -24 - y = -25*t for t. 2 Let d = -218 + 369. Suppose -35*b = -269 - d. Solve b*l + 4 = 10*l for l. -2 Let i be 11/((-2516)/180 + 14). Solve -i = -51*k - 4*k for k. 9 Let g be 1/7*(9 + 12/(-30)*5). Solve 5*r + 26 - g = 0 for r. -5 Suppose 232*n - 271*n + 22659 = 0. Solve -473 = 18*a - n for a. 6 Let o(y) = -9*y + 47. Let n be o(5). Suppose -3 = -n*x + 7. Solve -x = -2*h - 3 for h. 1 Let r be (-32)/(-10) - 8/40. Suppose 4*v + i = -2, 6 = -7*v + 3*v - r*i. Solve 5*x - 4*x - 5 = v for x. 5 Let q(g) = 27*g + 603. Let t be q(-21). Solve 0 = -44*d - t*d for d. 0 Let w(i) = i**3 - i**2 - 3*i + 2. Let u be w(2). Let d(f) = 6 + 2*f**2 - 8*f + 16*f - f**2 - 7*f. Let t be d(u). Solve -r + t = 2 for r. 4 Let n = -302 - -305. Suppose -5*b + n = 2*y, 8 = 3*y - 0*b + 4*b. Solve 0 = y*d - 19 + 3 for d. 4 Suppose -58*k + 169*k - 896 = 83*k. Solve -k*m = -3*m + 261 for m. -9 Suppose 4*x - 20 = -5*j, 2*j - 3*x - 15 + 7 = 0. Solve 6*i - j = 4*i for i. 2 Let v(s) = -4*s + 63. Let x be v(22). Let t(z) = 3*z**2 - 25 - 2*z**2 + 10*z + 14*z. Let d be t(x). Solve h = -d*h for h. 0 Let d(t) = -t**3 + 3*t**2 + 4*t + 2. Let w be d(4). Suppose 149*v - 2501 = -2203. Solve w*q = 4 - v for q. 1 Suppose 5*q - 5*f = 164 + 131, 5*q - 3*f = 289. Solve q*s = 72*s for s. 0 Let s be (-2)/(-3) + 0 - 17922/(-522). Solve 0 = 33*c + s + 31 for c. -2 Let v = 9961 - 9949. Solve -v*g - 4 = 32 for g. -3 Suppose 10 = -3*s + 2*c, -4*s + 5*c + 5 = 30. Solve s = -32*l + 25*l for l. 0 Let l(r) = 8*r**2 - 6*r**2 - 27 - 4*r**2 - 31*r. Let u be l(-14). Solve 3*m = 6*m + u for m. -5 Let p = 5103 - 4940. Solve 171 = -2*y + p for y. -4 Suppose 0 = 18*p - 29*p + 195 + 69. Solve p*s + 105 = 9*s for s. -7 Suppose -56030 = -137*m - 15341. Solve -12*r + 249 = m for r. -4 Let m be ((-89424)/1863)/((-6)/4 - 0). Solve 0 = m*p - 39*p - 7 for p. -1 Suppose q - 22 = -11*w + 6*w, -20 = -4*q - 3*w. Let g be (-147)/(-35) + q/(-10). Solve -3 = g*f + 13 for f. -4 Let i be (9 + (-1391)/156)*3156. Solve -43*k + 48 - i = 0 for k. -5 Suppose -42*y - 299 = 23*y - 2509. Solve 8 = 42*w - y*w for w. 1 Let y = -208 - -344. Solve -u + 134 = y for u. -2 Let t be (-234)/15*(-1)/(5 + 329/(-70)). Solve 184 - t = -22*g for g. -6 Suppose 4*d + 186 = -2*h + 296, -4*d + 107 = h. Solve d*p = 43 + 9 for p. 2 Suppose 301*k - 327*k + 616 = 148. Solve k*g + 91 = -53 for g. -8 Suppose 2*t - 19 = -5*l - t, -5*t + 17 = l. Let b = -77 - -34. Let x = b - -47. Solve -4*q + x = -l*q for q. 2 Suppose -5*v - 6*b = -23, -7*v + 8*v + 2*b = 3. Solve -v*t + 25 = -12*t for t. -5 Suppose 0 = -o - l + 7, 5*o - 3*l - 19 = -0*l. Let w = 27 - 18. Let r(p) = -p**3 + 68*p**2 + 293*p - 5678. Let x be r(71). Solve -o*n = -x*n + w for n. -3 Suppose -5*g - 13 = 4*l - 31, 0 = 3*g - 6. Let o be (0 - l/(-4))*0. Let f = 122 - 118. Solve o = -0*q + q + f for q. -4 Suppose 4 = -4*t - 3*x, -t + 4*x + 18 = -0*t. Solve -t*i + 83 = 91 for i. -4 Let s(m) = 16 - 2*m + 2 + 6 - 20*m + m**2. Let t be s(21). Suppose -t + 13 = 2*k, -4*w = 2*k - 34. Solve w = -b + 1 for b. -5 Suppose -15*p + 12*p = 48. Let w be (1 - 1) + 20*p/(-40). Solve -w*x = -10*x + 10 for x. 5 Let l = 277 + -272. Solve l*k - 24 = -4 for k. 4 Suppose 2*n = n + 4. Let w = 7 - 1. Suppose -z = n*h - 18, 3*z - 2*z + w = 2*h. Solve -h*d = 3 + 1 for d. -1 Let u(o) = o**2 + o - 1. Let d(t) = t**3 - 10*t**2 + 2*t - 21. Let m(l) = d(l) - u(l). Let z be m(11). Let a be 23/46 - (1 - z/(-2)). Solve -b = -a*b + 9 for b. 3 Suppose 281 = -3*w - g, 0*w - 5*w + 2*g = 483. Let i = 98 + w. Solve -2*f = -i*f + 5 for f. 5 Let i = -344 - -464. Suppose 0 = -20*m + 14*m + i. Solve 0 = -w + 6*w + m for w. -4 Let h be -1 - 29/(957/(-30)) - 860/(-22). Solve 34*u + 5 = h*u for u. 1 Let i be (-41*(-1)/4)/((-192)/768). Let w = 76 + i. Solve 16 = -w*u + 31*u for u. -4 Suppose -90*n + 918 = 378. Solve -j + n*j + 10 = 0 for j. -2 Let b be (-22)/(-2) - (43 - 1258/37). Solve 13*h + 90 = -b*h for h. -6 Suppose 4205*l = 4210*l - 10. Solve 2*r + l = 12 for r.
{ "pile_set_name": "DM Mathematics" }
) = 10*w - 194. Calculate d(-32). -514 Let k(s) = -3*s**3 + 182*s**2 + 269*s - 1303. Calculate k(62). -1 Let n(h) = -2*h**3 - 5*h**2 - 5*h - 32. Give n(-5). 118 Let l(y) = -3*y**2 + 859*y - 2834. Determine l(283). -4 Let f(w) = -1207*w + 2539. Give f(2). 125 Let p(d) = -2*d**2 + 30*d + 463. What is p(-10)? -37 Let j(h) = -2*h**3 + 11*h**2 + 2*h - 23. Give j(5). 12 Let v(g) = 187*g**3 + 1. Determine v(-1). -186 Let d(t) = -418*t - 406. Calculate d(-1). 12 Let u(h) = 14*h**2 - 94*h - 22. Give u(7). 6 Let t(r) = 2*r**2 - 20*r + 83. Determine t(13). 161 Let k(f) = 79*f + 3241. Give k(-38). 239 Let h(i) = -26*i**3 - 3*i. Calculate h(1). -29 Let r(i) = -8*i**2 - 16*i + 4. Calculate r(-3). -20 Let n(f) = 6*f**2 - 191*f + 222. Give n(30). -108 Let d(o) = -o**2 + 80*o - 757. Determine d(11). 2 Let i(y) = y**3 - 20*y**2 - 19*y - 59. Calculate i(21). -17 Let b(h) = -4*h**3 + 460*h**2 + 2*h - 169. What is b(115)? 61 Let l(q) = -34*q**2 - 33*q - 38. Calculate l(-1). -39 Let i(z) = -2*z**3 + 15*z**2 + 8*z - 9. What is i(7)? 96 Let i(o) = 3*o**2 - 6*o + 82. Give i(7). 187 Let b(g) = -4*g**3 - 6*g**2 - 53*g - 359. Calculate b(-6). 607 Let u(j) = 9*j - 172. Calculate u(19). -1 Let d(y) = 10223*y + 61356. Determine d(-6). 18 Let t(y) = y**2 + 8*y - 58. Give t(-17). 95 Let z(w) = 11*w + 50. Calculate z(15). 215 Let b(w) = -77*w - 382. Determine b(-5). 3 Let l(p) = 121*p - 1220. Determine l(10). -10 Let u(s) = 2*s**2 + 146*s + 545. Give u(-4). -7 Let k(p) = -p**2 - 88*p - 1705. Determine k(-29). 6 Let g(v) = -6*v**2 + 487*v - 486. Calculate g(1). -5 Let x(r) = 11*r**2 - 3*r + 9. What is x(2)? 47 Let t(r) = r**3 + 37*r**2 - 163*r - 3. Give t(4). 1 Let s(d) = -13*d**2 + 83*d + 26. What is s(7)? -30 Let c(g) = -26*g**2 + 185*g - 10. Give c(7). 11 Let l(m) = 14*m**2 + 16*m - 37. What is l(2)? 51 Let g(o) = 209*o + 106. Give g(-2). -312 Let j(s) = -s**3 + 10*s**2 + 8*s + 92. What is j(11)? 59 Let m(l) = l**3 - 115*l**2 - 358*l + 474. Give m(118). 2 Let s(r) = -r**3 + 4*r**2 - 5997*r + 36061. Give s(6). 7 Let t(p) = 9*p**2 - 101*p + 1. Calculate t(11). -21 Let c(g) = -11*g + 147. Calculate c(13). 4 Let a(y) = y + 55. Calculate a(-65). -10 Let i(x) = -3*x**2 - 8*x + 1008. Calculate i(20). -352 Let c(s) = 247*s - 1542. Give c(6). -60 Let f(h) = -4*h**2 - 96*h - 187. What is f(-22)? -11 Let b(n) = 112*n - 51. Give b(3). 285 Let b(w) = -2*w**2 + 22*w - 47. What is b(5)? 13 Let y(o) = 25*o + 16. What is y(5)? 141 Let f(h) = 6*h**2 - 46*h - 63. Give f(8). -47 Let s(g) = -19*g**2 + 16*g - 3. Calculate s(1). -6 Let m(u) = -u**3 + 5*u**2 + 281*u - 568. Determine m(2). 6 Let z(w) = 3587*w - 82500. What is z(23)? 1 Let j(y) = -2080*y + 31222. Calculate j(15). 22 Let u(x) = -9*x**2 - 22*x + 26. Give u(6). -430 Let y(r) = -r**3 - 10*r**2 + 26*r + 258. What is y(-5)? 3 Let a(t) = 13*t**3 + 3*t**2 + 74*t - 76. Determine a(1). 14 Let s(x) = x**2 - 29*x + 108. Determine s(25). 8 Let o(k) = -k**2 + 42*k - 237. Give o(24). 195 Let t(z) = -4*z**2 + 21*z + 14. Calculate t(6). -4 Let u(z) = z**2 + 18*z - 65. What is u(14)? 383 Let d(x) = 444*x - 120324. Determine d(271). 0 Let g(x) = -82*x + 2780. Give g(34). -8 Let c(x) = -28*x**2 - 254*x - 62. Calculate c(-9). -44 Let x(q) = -566*q - 560. Calculate x(-1). 6 Let m(n) = 450*n + 4511. Determine m(-10). 11 Let w(g) = g**2 - 14*g - 196. What is w(22)? -20 Let r(n) = n**3 + 40*n - 74. Calculate r(0). -74 Let j(o) = 63*o + 4848. Calculate j(-77). -3 Let h(s) = -2*s**2 - 21*s - 26. Give h(-3). 19 Let p(v) = v**2 - 20*v - 59. Determine p(30). 241 Let i(h) = -2*h**3 - 62*h**2 + 73*h - 68. Calculate i(-32). -356 Let d(s) = 69*s + 1291. Give d(-18). 49 Let j(p) = -8*p + 142. Give j(39). -170 Let s(u) = u**2 + 119*u + 981. What is s(-9)? -9 Let k(p) = -p**3 + 8*p**2 - 35*p - 27. Calculate k(6). -165 Let n(y) = -4*y**3 + 13*y**2 + 64*y + 22. Calculate n(-5). 527 Let p(m) = 333*m + 312. Give p(-1). -21 Let d(n) = -4*n**2 + 1910*n - 9454. Give d(5). -4 Let q(c) = -2*c**2 + 3*c + 95. Calculate q(8). -9 Let p(s) = -472*s + 2845. Determine p(6). 13 Let h(a) = -5*a**2 + 54*a - 145. Calculate h(6). -1 Let c(h) = 5*h**3 + 77*h**2 + 33*h + 54. Calculate c(-15). 9 Let z(m) = 26*m - 828. Calculate z(36). 108 Let f(p) = -p**3 + 4*p**2 + 9*p + 83. Determine f(7). -1 Let n(c) = -c**3 + c**2 - c - 19. Determine n(5). -124 Let l(y) = 4*y**2 + 39*y - 88. Calculate l(2). 6 Let f(d) = -4*d**2 + 375*d - 755. What is f(92)? -111 Let a(b) = 2*b - 159. What is a(-9)? -177 Let s(p) = -54*p + 505. What is s(6)? 181 Let r(x) = -7*x**2 + 1900*x - 8276. Calculate r(267). 1 Let m(o) = -5860*o - 5848. What is m(-1)? 12 Let k(a) = a**3 + 9*a**2 + 39*a + 8. Determine k(-4). -68 Let j(m) = 4*m - 10. What is j(5)? 10 Let k(q) = 2*q**3 - 68*q**2 + 7*q - 229. Give k(34). 9 Let t(r) = -14*r + 450. What is t(7)? 352 Let t(u) = 4*u**3 - 30*u**2 - 12*u - 5. Calculate t(8). 27 Let d(y) = -19*y**2 + 489*y + 135. What is d(26)? 5 Let r(v) = 126*v + 446. Determine r(-4). -58 Let s(x) = -x**3 - 20*x**2 - 13*x + 140. Give s(-21). 854 Let o(j) = -142*j + 2854. What is o(20)? 14 Let p(a) = -a**3 + 84*a**2 + 13620*a - 1324. Calculate p(166). 4 Let c(g) = 28*g + 228. Calculate c(-7). 32 Let w(p) = 19*p + 661. Calculate w(-35). -4 Let f(y) = -160*y - 3412. Give f(-21). -52 Let l(i) = 62*i + 109. Determine l(-1). 47 Let y(h) = -h**2 - 38*h - 366. What is y(-18)? -6 Let h(d) = d**2 + 54*d - 178. Determine h(3). -7 Let w(a) = -5*a**3 - 300*a**2 + 4*a + 251. What is w(-60)? 11 Let y(h) = -2*h**3 - 11*h**2 - 15*h - 40. Determine y(-6). 86 Let b(a) = 3*a**3 - 104*a**2 + 60*a + 282. Give b(34). 10 Let a(v) = 3*v**2 + 100*v + 813. Calculate a(-19). -4 Let p(x) = 5*x**2 + 161*x + 40. Calculate p(-32). 8 Let d(x) = x**3 - 50*x**2 + 51*x - 101. Determine d(49). -3 Let z(n) = n**2 + 46*n + 481. Calculate z(-13). 52 Let a(u) = -415*u + 16610. What is a(40)? 10 Let v(a) = a**2 + 13*a - 31. Determine v(-15). -1 Let t(q) = 5*q**2 - 33*q - 98. Determine t(-3). 46 Let z(w) = -204*w + 1804. Determine z(8). 172 Let q(i) = -i**3 + 9*i**2 - 7*i + 10. Give q(8). 18 Let a(g) = -42*g + 4166. What is a(99)? 8 Let w(r) = -277*r + 11081. Calculate w(40). 1 Let c(f) = -64*f**2 - 964*f + 1. Give c(-15). 61 Let u(w) = -w**3 - 185*w**2 - 6398*w - 548. Determine u(-139). 8 Let f(z) = -15*z**3 + 11*z**2 + 6*z - 2. Calculate f(-2). 150 Let d(n) = -3*n**3 - 18*n**2 - 7*n - 18. Give d(-6). 24 Let b(u) = -2*u**2 - 12*u + 89. Determine b(5). -21 Let o(y) = -8*y**3 + 34*y**2 - 13*y + 29. Calculate o(4). 9 Let a(b) = -b**3 - 63*b**2 - 5*b - 332. Give a(-63). -17 Let k(g) = 469*g - 26. Give k(-1). -495 Let u(x) = 2*x**2 - 43*x + 236. Determine u(14). 26 Let j(p) = p**3 + 7*p**2 + 4*p + 99. Give j(-8). 3 Let d(t) = -130*t**2 - 642*t + 33. Calculate d(-5). -7 Let g(s) = -s**3 - 4*s - 11. Give g(-3). 28 Let q(i) = -2*i**2 - 47*i - 75. Give q(-21). 30 Let s(d) = 234*d + 62251. Determine s(-266). 7 Let p(x) = 3*x - 205. Calculate p(6). -187 Let y(b) = 3138*b + 65896. Calculate y(-21). -2 Let i(t) = 4*t**2 + 18*t - 26. Determine i(-7). 44 Let b(t) = -5*t**3 + 91*t**2 - 6*t - 65. Determine b(18). 151 Let j(l) = l**2 - 9*l - 11. Calculate j(14). 59 Let m(p) = -35*p - 7. Give m(1). -42 Let p(t) = 60*t + 1563. Give p(-26). 3 Let m(c) = -c**2 + 10*c + 82. Calculate m(22). -182 Let r(o) = 38*o**2 + 667*o + 128. Calculate r(-17). -229 Let b(o) = 117*o - 99. Give b(-2). -333 Let r(s) = s**3 + 9*s**2 + 4*s + 19. What is r(-6)? 103 Let m(g) = 35*g + 1877. Determine m(-26). 967 Let q(z) = 5*z**3 - 14*z**2 - z + 1. What is q(6)? 571 Let z(g) = g**3 + 32*g**2 - 371*g - 93. Give z(-41). -11 Let l(c) = 8*c**3 - 35*c**2 + 12*c - 14. Give l(4). -14 Let x(f) = -f**3 - 20*f**2 + 23*f + 44. Determine x(-21). 2 Let r(h) = h**2 + 1067*h + 41084. What is r(-40)? 4 Let v(u) = 3*u**3 + 18*u**2 + 28*u + 130. Calculate v(-7). -213 Let u(a) = -a**2 + 39*a - 104. Give u(34). 66 Let m(t) = -36*t**2 + 113*t + 217. What is m(-2)? -153 Let y(x) = 292*x + 9485. What is y(-33)? -151 Let q(c) = -39*c**2 - 15*c + 4. What is q(2)? -182 Let k(g) = 338*g - 14502. What is k(43)? 32 Let v(p) = p**3 + 42*p**2 + 3*p + 96. Calculate v(-42). -30 Let i(l) = l**2 + 33*l + 175. Calculate i(-8). -25 Let y(t) = -t**3 + t**2 - 5. Determine y(0). -5 Let h(d) = -d**3 - 77*d**2 + 78*d - 94. What is
{ "pile_set_name": "DM Mathematics" }
*n(z)? -2*z**2 - 3*z + 2 Let a(y) = -y + 1. Let i(s) = 212*s - 159. What is -318*a(u) - 2*i(u)? -106*u Let a(c) = 17*c + 16. Let o(n) = 16*n + 15. Determine 5*a(p) - 6*o(p). -11*p - 10 Let u(l) = -840*l**2 - 4*l + 4. Let r(j) = -839*j**2 - 5*j + 5. Calculate -4*r(n) + 5*u(n). -844*n**2 Suppose 76 + 49 = 5*p. Suppose -31*t + 26*t = p. Let i(g) = 6*g**3 + 5*g**2 + 5*g - 5. Let d(a) = -21*a**3 - 18*a**2 - 18*a + 18. Give t*d(l) - 18*i(l). -3*l**3 Let h(w) = 1290*w**2 + 1204*w + 602. Let t(v) = -2*v**2 - 2*v - 1. Give -6*h(d) - 3612*t(d). -516*d**2 Let f(x) be the first derivative of -25*x**2/2 - x - 1. Let b be f(1). Let q = b + 16. Let t(a) = -4*a - 10. Let p(d) = -d - 3. Give q*p(g) + 3*t(g). -2*g Let x(p) = 2*p**2 + 16*p + 11. Let o(w) = w + 4. Determine 4*o(g) - x(g). -2*g**2 - 12*g + 5 Let b(d) = -5*d**2 - 7*d - 1. Let m(w) = 11*w**2 + 14*w + 3. Determine -5*b(u) - 2*m(u). 3*u**2 + 7*u - 1 Let c(p) = -8*p + 23. Suppose -2*a + 6 = -3*o + 7, -o = 3*a - 26. Let f(u) = 9*u - 24. Calculate a*c(x) + 6*f(x). -2*x + 17 Let u(g) = 20*g + 79. Let r(p) = -7*p - 27. What is 17*r(l) + 6*u(l)? l + 15 Let c(h) = h**2 - 2*h - 3. Let k(y) be the second derivative of -y**3/2 - 2*y**2 + 22*y + 1. Let b = -4 + 6. Determine b*k(z) - 3*c(z). -3*z**2 + 1 Let v(g) = -79*g + 2. Let u(c) = 39*c - 1. Determine 5*u(o) + 3*v(o). -42*o + 1 Let t(z) = -z**3 - z**2 + 1. Let y be 4/(-1)*-1 - (-52 - -55). Let c(m) = -7*m**3 - 4*m**2 + 11. Calculate y*c(s) - 6*t(s). -s**3 + 2*s**2 + 5 Suppose 0 = -27*i + 30*i + 3, 0 = 4*z - 5*i + 47. Let f(j) = -9*j + 10. Let h(d) = 19*d - 21. Calculate z*f(t) - 6*h(t). 3*t - 4 Let z(m) = -6*m - 4. Let t(h) = -5*h - 3. Let s(j) = 2*j**2 - 9*j - 5. Let u be s(5). Suppose 16*v - 15*v + 3 = u. What is v*z(p) + 4*t(p)? -2*p Let v(a) = -6*a**2 + 6*a + 2. Let n(t) be the third derivative of -t**5/60 + t**4/24 - 213*t**2. What is 5*n(i) - v(i)? i**2 - i - 2 Let d(r) = 20*r**3 + 3*r**2 + 10*r + 1. Let b(q) = 4*q**3 + q. Determine -6*b(v) + d(v). -4*v**3 + 3*v**2 + 4*v + 1 Suppose 2*k - 1 = -3. Let q be ((-3)/k)/((-6)/(-14)). Let r(j) = 2*j + 1. Let y(z) = 6*z + 2. What is q*r(o) - 2*y(o)? 2*o + 3 Let f(o) = -2*o + 2. Let t(p) = -2*p - 2. Let c(g) = 1. Let w(s) = -3*c(s) - t(s). Let n = 10 + -10. Suppose -3*k + 0*k - 6 = n. Determine k*f(q) - 3*w(q). -2*q - 1 Let l(i) = -1. Let b(u) = -151*u + 1. Give b(s) + l(s). -151*s Let y(v) = v**2 + 5*v - 5. Let u(q) be the third derivative of -q**4/24 + q**3/6 - 64*q**2. Calculate 5*u(h) + y(h). h**2 Let o(r) = 23*r**2 + 7*r - 3. Let q(b) = 12*b**2 + 3*b - 1. Give -3*o(m) + 7*q(m). 15*m**2 + 2 Let t(l) = -l - 2*l**3 + 2*l + 7 - 20498*l**2 + 20492*l**2. Let s(h) = -2*h - 3. Let b be s(-4). Let r(j) = 2*j**3 + 5*j**2 - j - 6. What is b*t(d) + 6*r(d)? 2*d**3 - d - 1 Let l(s) = s**3 - 7*s**2. Let f(c) = c**3 - 5*c**2. Let h = -28 - -24. Let p be -4 + (-44)/h + 0. Calculate p*f(d) - 5*l(d). 2*d**3 Let k(i) = 16*i + 11. Let u(h) = -8*h - 5. What is 6*k(t) + 13*u(t)? -8*t + 1 Let u(y) be the third derivative of 1/6*y**4 + 3*y**2 + 0*y + 4/3*y**3 + 0. Let p(j) = 5*j + 9. Let o = -7 - -1. What is o*p(q) + 7*u(q)? -2*q + 2 Let t(a) = 12*a + 61. Let j(o) = 65*o + 306. Calculate 2*j(c) - 11*t(c). -2*c - 59 Let i(q) = 2*q - 4. Let s(l) = l - 53. Let v(g) = 8. Let c(t) = -s(t) - 6*v(t). Calculate 5*c(u) + 6*i(u). 7*u + 1 Let r(h) = 5*h**2 - 18*h + 3. Let k(g) = 5*g**2 - 16*g + 2. What is -6*k(n) + 5*r(n)? -5*n**2 + 6*n + 3 Let i(y) = -11*y**2 + 5. Let c(g) = -44 + 42 - 2*g**2 + g**2 + 6*g**2. Let j be 28/6 - (-4)/12. Let x be 4 + j/(10/(-4)). Determine x*i(o) + 5*c(o). 3*o**2 Let o(d) = -3*d**3 - 4*d**2 + 2. Let b(f) = -3*f**3 - 5*f**2 + 3. Suppose 14 = w - 4*s, -2*s - 6 = w - s. What is w*b(h) + 3*o(h)? -3*h**3 - 2*h**2 Let v(o) be the first derivative of o**4/4 + o**3/3 + 364. Let z(k) = 3*k**3 + 4*k**2 - 2*k. Let j = -1 + 0. What is j*z(m) + 4*v(m)? m**3 + 2*m Let w(d) = -d. Let i(f) = 17*f - 2. Give i(h) + 4*w(h). 13*h - 2 Let z(k) = k**2 + 4*k + 3. Let h(y) = 10*y**2 - 5*y + 9. Let b(t) = 8*t**2 - 5*t + 7. Let o(u) = 6*b(u) - 5*h(u). Determine -4*o(j) - 5*z(j). 3*j**2 - 3 Suppose -5*q + 3*q - 2 = 0. Let k = -18 - -5. Let t = 15 + k. Let x(w) = -w - 1. Let i(a) = a**2 - 2*a - 2. Calculate q*i(l) + t*x(l). -l**2 Let t = 124 + -130. Let x be (t + 1)*(8 + (-76)/10). Let g(b) = b - 4. Let q(d) = 3. Let a(c) = -1. Let h(f) = -17*a(f) - 6*q(f). Determine x*h(n) + g(n). n - 2 Let f(o) = -12*o - 7. Let j(w) = 11*w + 6. Let s(n) = -5*f(n) - 6*j(n). Let b(c) = -c - 1. What is -b(x) + s(x)? -5*x Let d(s) = 5*s**2 - 12*s + 3. Let n(w) = -10*w**2 + 24*w - 7. Give -7*d(x) - 3*n(x). -5*x**2 + 12*x Let d(z) = 3*z - 3. Suppose 0*m - 5*n = -m - 17, -4*m + 3*n = 0. Suppose -m*u = -31 + 10. Let w(s) = 4 + s**2 + 2*s + 0 + s - u*s. Calculate 4*d(p) + 3*w(p). 3*p**2 Let t(s) be the first derivative of 4*s**2 - 384. Let j(a) = 2*a. Suppose 6 = -4*p - 2. Let r be (-1 - -12)/1 + -2. Determine p*t(y) + r*j(y). 2*y Let y(i) = 5*i**2 - 7*i. Let b(a) = 3*a + 38. Let j = 17 - 28. Let v be b(j). Let o(d) = 4*d**2 - 6*d. What is v*y(w) - 6*o(w)? w**2 + w Let j(u) be the second derivative of 2*u**3/3 + 11*u**2 + 26*u - 1. Let v(l) = -l - 7. What is -3*j(p) - 10*v(p)? -2*p + 4 Let z(c) = -29*c + 61. Let x(v) = -86*v + 190. Calculate -6*x(g) + 19*z(g). -35*g + 19 Let d(m) = 9*m - 19. Let r(s) = -18*s + 42. Calculate -13*d(a) - 6*r(a). -9*a - 5 Let t(a) = -24*a**3 - 9*a + 5. Let v(b) = 12*b**3 + 5*b - 3. Calculate -3*t(l) - 5*v(l). 12*l**3 + 2*l Let w(y) = -y - 16. Let c(t) = t**2 + 1. Determine -2*c(x) + w(x). -2*x**2 - x - 18 Suppose -5*m + 3*n - 4*n - 33 = 0, 0 = -m + 2*n. Let i(h) = h - 1. Suppose -3*c = 3, -5*p - 2*c - 10 = -3. Let s(u) = -9*u + 7. Give m*i(o) + p*s(o). 3*o - 1 Let d(j) = 12*j**2 + 3*j - 6. Let u(o) = 11*o**2 + 4*o - 7. What is -3*d(g) + 2*u(g)? -14*g**2 - g + 4 Let s(f) = -f**3 - 6*f**2 - 8*f - 8. Let o = 315 - 326. Let u(b) = 2*b**3 + 11*b**2 + 15*b + 15. Determine o*s(w) - 6*u(w). -w**3 - 2*w - 2 Let q(y) = 7*y**3 + y**2 + 2. Let b(z) = 6*z**3 + z**2 + 1. Calculate -6*b(j) + 5*q(j). -j**3 - j**2 + 4 Let d be (-26)/(-8) + 75/20 + -3. Let f(y) = -y - 5. Let m(h) = -1. Let k(o) = -f(o) + 2*m(o). Let r(n) = -n - 4. Determine d*r(i) + 5*k(i). i - 1 Let i(t) = -t - 2. Let o(a) = -50*a - 14. What is -8*i(w) + o(w)? -42*w + 2 Let g(f) = -31*f**2 + 15*f + 20. Let t(j) = 15*j**2 - 6*j - 10. Calculate -3*g(s) - 7*t(s). -12*s**2 - 3*s + 10 Let m(h) = 6*h**3 + 3*h**2 - 5*h + 2. Let n(c) = 4*c**2 - 3*c**2 + 1 + 2*c**3 - c**3 + 553*c - 554*c. What is m(o) - 3*n(o)? 3*o**3 - 2*o - 1 Let b(l) = -2*l**2 + 2*l - 3. Suppose -4*r + 2*q - 10 = 0, r - 29 = -2*q - 24. Let s(j) = -j + 1. What is r*s(h) - b(h)? 2*h**2 - h + 2 Let t(z) = -z. Suppose -4*k + 8 = -4*d, 4*k - 5 + 27 = -2*d. Let f(r) = 2*r. What is d*f(o) - 12*t(o)? 2*o Let m(c) = c**3 + 8*c**2 - 34*c - 14. Let p be m(-11). Let d(l) = -3*l**2 - 3*l - 2. Let t(v) = -v**2 - v - 1. What is p*d(s) + 7*t(s)? 2*s**2 + 2*s - 1 Let l(w) = 20*w**3 + 24*w**2 + 24. Let g(o) = -4*o**3 - 5*o**2 - 5. Let n be (33 - 34)*5*-1. Determine n*l(p) + 24*g(p). 4*p**3 Let j(k) = -1. Let i(a) be the first derivative of -3*a - 3/4*a**4 + 0*a**2 - 3 + 0*a**3. What is -i(n) + 3*j(n)? 3*n**3 Let g(t) = 6*t**3 + 6*t**2 - 14. Let z(s) = 2*s**3 - 19*s**2 + 5*s + 22. Let j be z(9). Let i(l) = -2*l**3 - 2*l**2 + 5. What is j*i(r) - 5*g(r)? -2*r**3 - 2*r**2 Let t(r) = -3*r**3 - 21*r - 2. Let l(b) = 6*b**3 + 45*b + 5. Calculate -2*l(u) - 5*t(u). 3*u**3 + 15*u Let b(z) = -11*z**2 - 11*z + 2. Let s = -14 + 7. Let o be 4 + s + 55/5. Let r(i) = -7*i**2 - 7*i + 1. Give o*r(f) - 5*b(f). -f**2 - f - 2 Let o(v) = 9*v**2 + v + 6. Let i(d) = d**2 + 3*d + 6. Let n be i(0). Let h(c) = 4 - 1 - n - 4*c**2. Give -5*h(u) - 2*o(u). 2*u**2 - 2*u + 3 Let m(s) = 9*s + 4. Let j(a) = -14*a - 6. Let w be (-168)/(-30) - 39/65. Calculate w*j(q) + 8*m(q). 2*q + 2 Let h(d) = -1. Let t(g) = 16*g - 5. Determine 6*h(q) - t(q). -16*q - 1 Let z(c) = 11*c**2 + 2*c + 2. Let b(o) = -5*o**2 - o - 1. Suppose 8*h - 126 = 26*h. Let x(k) = k**2 - 6*k + 5. Let d be x(4). Determine d*z(l) + h*b(l). 2*l**2 + l + 1 Suppose 0 = 2*n - n + 3*g - 9, -2*n - 10 = -g. Let f be (-3 - -29)*n/6. Let r(v) = -4 + 2*v + 1 + 2. Let q(j) = -4*j + 2. Calculate f*r(k) - 6*q(k). -2*k +
{ "pile_set_name": "DM Mathematics" }
t common divisor of m and v. 2 Let f be 2 - -9*(-488)/(-8). Let o = f - 245. What is the greatest common factor of 18 and o? 18 Suppose -170226 = -26*x - 9858. What is the highest common divisor of x and 24? 24 Let f(o) = o - 8. Suppose 0 = -w - 4*w - 105. Let u = w - -45. Let x be f(u). Calculate the highest common factor of 64 and x. 16 Suppose 0 = -126*k + 117*k + 252. Let s = -28 + 32. What is the highest common factor of k and s? 4 Let v be (1/(-2))/(10701/2142 - 5). Let l = v - 89. What is the greatest common factor of l and 42? 6 Let h = 34046 - 33137. Calculate the greatest common factor of h and 9. 9 Let c(z) = 120*z**2 + 30*z - 30. Let s be c(1). What is the greatest common factor of 76 and s? 4 Suppose -1855 = -3*m + 41*j - 36*j, 3*m = -2*j + 1862. What is the highest common divisor of 820 and m? 20 Suppose 19*h - 5*c + 190 = 24*h, 4*h - 112 = 4*c. Calculate the highest common factor of 121 and h. 11 Let c(g) = g**2 + 55*g - 748. Let k be c(12). Calculate the highest common divisor of k and 350. 14 Suppose 13*h - 10*h + 270 = 5*q, 0 = -3*q + 5*h + 162. Suppose q*r - 48*r = 120. Calculate the greatest common factor of 85 and r. 5 Let g(x) = 12*x**2 + 3*x - 2. Let q be g(-2). Let o = 40 - q. Let p be 1 - (-3*(-3)/(-9) - o). Calculate the greatest common divisor of 1 and p. 1 Suppose -10 = 3*t - 52. Let m(y) = 3*y - 34. Let z be m(t). Suppose -z*h = 24 - 112. Calculate the highest common factor of 253 and h. 11 Let z = 1500 + -1424. Suppose -5*s = -0*n + 4*n - 111, 5*n - 1 = s. Calculate the greatest common factor of z and s. 19 Suppose -371 = -22*w - 151. What is the greatest common divisor of w and 2345? 5 Let t = 31507 + -31492. Let n be (-1)/(-3 + 80/27). What is the highest common divisor of t and n? 3 Let x be (-3)/(-3)*(-7 + 84). Let k = 653 - x. Calculate the greatest common factor of k and 24. 24 Let i = -153 + 105. Let k be (-1)/(-3 - 140/i). Suppose 2*f = -2*z + 304, 0 = 2*z + 3*f - 0*f - 300. What is the highest common divisor of z and k? 12 Let x be 16 - 6/3 - -505. What is the greatest common factor of x and 692? 173 Suppose 13*n - 78 = 156. What is the highest common divisor of n and 2280? 6 Let n = 44493 - 44483. Calculate the greatest common divisor of 1525 and n. 5 Suppose -3*h = -0 - 15, 0 = 3*b - 5*h + 25. Suppose b = -20*k - 9*k + 1827. Let p be (-3)/(-6)*72/2. Calculate the highest common divisor of p and k. 9 Let x = 660122 - 660119. Let w(u) = 3*u**3 - 3*u**2 + 2*u - 3. Let a be w(3). Calculate the highest common factor of a and x. 3 Suppose -a - 11 = 3*p - 0*p, 2*p + 13 = 5*a. Let z be 2 - (-421 + a + -2). Let d = z + -253. What is the greatest common factor of 19 and d? 19 Suppose 77*j - 1728 = 2969. Calculate the greatest common divisor of j and 5002. 61 Suppose -5*t = 5*j - 20, 0 = -t + 5*j + 3 + 1. Suppose -682 = -t*l + 806. Suppose l = 3*f + 141. What is the highest common divisor of 11 and f? 11 Let c(g) = g**3 - 37*g**2 - 39*g + 57. Let t be c(38). Suppose 2*k + t*k - 1470 = 0. Calculate the greatest common divisor of k and 56. 14 Let z be (3 + (-64)/12)*-18. Suppose c - 5*j = -8*j + 51, 4*j - 47 = -c. Calculate the greatest common factor of z and c. 21 Suppose -379 = -8*x - 139. Calculate the greatest common factor of 6315 and x. 15 Let s(o) = -o**2 + 6*o. Let q be s(6). Let g = 15 + q. Let i = g + 65. What is the greatest common divisor of 10 and i? 10 Let w be -46*(-60)/24 - -15. What is the highest common divisor of 26 and w? 26 Let g(u) = u**3 + 6*u**2 - 6*u + 13. Let r be g(-7). Suppose -n - r*n + 189 = 0. Suppose n*i = 30*i - 228. Calculate the greatest common factor of i and 19. 19 Let m be ((-3)/90*-6*-93)/((-2)/70). Calculate the greatest common factor of 6727 and m. 217 Suppose -5 + 29 = 3*x. Let y(c) = -7 + 3*c + c + x*c - 5*c. Let f be y(5). Calculate the greatest common factor of f and 56. 28 Suppose 220*y - 9052 = -125*y + 15098. Calculate the greatest common factor of y and 380. 10 Let h = -90 + 240. Let r = 8 - 4. Suppose r*q - q - h = 0. What is the highest common divisor of q and 10? 10 Let s(p) = -399*p**3 + 8*p**2 - 14*p - 52. Let g be s(-2). Calculate the highest common divisor of 25 and g. 25 Suppose 399*a + 416 = 451*a. Let c = 79 - 56. Suppose -2*p + 3 = r - c, -r = -p - 35. What is the greatest common factor of a and r? 8 Let r(i) = 7*i - 1. Let s be r(3). Suppose 16 = k + s. Let w be (-1)/((16/k)/28). Calculate the highest common divisor of w and 63. 7 Let f be 3/(-9) + 1 - (-196300)/75. What is the highest common divisor of 154 and f? 154 Suppose 0 = 2*d - x + 160, -2*d - 393 = 3*d + x. Suppose 320 = 5*y - 9*y. Let c = d - y. What is the highest common divisor of c and 3? 1 Let m be -14 - (-5 + -6) - -817. What is the highest common factor of 110 and m? 22 Let d(n) = -58*n + 764. Let g be d(13). Calculate the highest common divisor of g and 135. 5 Suppose 3*t - 5*c = 120, 92 + 83 = 4*t - 5*c. Calculate the highest common divisor of 100 and t. 5 Let m(v) = v**2 - v - 4. Let y be m(-6). Let u be (-32)/(-6) + (-8)/6. Let z be u*(-5)/40*-152. What is the highest common divisor of z and y? 38 Let j be 3/(-1 + (-26)/(-20)). Let w be 4/j - (-1584)/40. Let l be (-56)/21*225/(-10). What is the greatest common divisor of l and w? 20 Suppose 147 = 8*s - 301. Suppose 5*h = c - 130, 0 = -h - 0*c + c - 26. Let g = h - -40. Calculate the greatest common factor of s and g. 14 Let z = 9 - 2. Let r = -44 + 184. Suppose -10*i = -15*i + r. Calculate the greatest common factor of z and i. 7 Let u = 277 - 140. Let z = -90 + u. Let j = 63 - z. Calculate the greatest common factor of j and 32. 16 Let q = 6 + 0. Let m = -79893 - -79899. What is the greatest common factor of q and m? 6 Suppose 53249 - 28893 + 590154 = 26*g. What is the highest common divisor of g and 145? 145 Let g be (-97254)/(-216) + (-11)/(-4) + -3. Calculate the greatest common divisor of g and 18. 18 Let v = -146 - -82. Let y = -64 - v. Suppose y = -3*p + 3, 2 = c - p - 11. What is the highest common divisor of c and 112? 14 Let s(l) = -l**3 + 15*l**2 - 29*l + 59. Suppose -5*o - 3*b + 80 = 2*b, o = 2*b + 7. Let h be s(o). Calculate the greatest common factor of 580 and h. 20 Suppose -3*t = 3*v - 15885, -34*t + 5285 = v - 38*t. What is the greatest common divisor of v and 67? 67 Let w be (35 - -1)*((-1037)/(-102) - 10). Calculate the greatest common divisor of w and 2859. 3 Let z(j) = -8*j**2 + 4*j + 4. Let c be z(-1). Let a be 25*(-4)/(0 - (-4)/c). What is the highest common divisor of a and 80? 40 Let u be 0 + (3 - 1) + -8. Let z = 1605 + -1609. Let c be 116/u*z - (-28)/42. What is the highest common factor of c and 52? 26 Let y = 73 + -53. Let v be (950/(-152))/(1 + (-21)/y). Calculate the highest common factor of 75 and v. 25 Suppose 2*r - 148 + 23 = 5*m, -5*r - m + 272 = 0. Let h = 55 - r. Let t(s) = s + 264. Let x be t(h). What is the highest common divisor of x and 33? 33 Suppose -7*n = 26*n - 231. Suppose 0 = 3*i - 4*i - 5*b + 391, -4*b = 4*i - 1500. Calculate the highest common factor of i and n. 7 Let x be (45/25)/((-9)/(-30)). Suppose -o - 5*v = x - 3, 3*o + v = 19. What is the highest common factor of o and 175? 7 Let i be 3751/682*(-1676)/(-11). What is the greatest common divisor of i and 2? 2 Let x(d) = 7195*d**2 - 124*d - 121. Let i be x(-1). What is the highest common divisor of 610 and i? 122 Let j(g) = -g**2 + 23*g + 2164. Let x be j(-36). What is the greatest common factor of 2230 and x? 10 Let f = -22931 + 23129. Calculate the highest common divisor of f and 2259. 9 Let i(h) = -3*h**2 - 42*h - 76. Let d be i(-4). What is the greatest common divisor of 1100 and d? 44 Suppose 57*j - 52*j + 1915 = 0. Let l = j - -387. Calculate the highest common divisor of l and 52. 4 Suppose 2*s - 3*y = s + 13904, -s + 13884 = 2*y. What is the highest common factor of 92 and s? 92 Let t = -14959 - -18474. What is the greatest common divisor of 19 and t? 19 Suppose 53*c - 44*c - 66*c = -228. Calculate the greatest common factor of c and 3292. 4 Let x = -11427 + 13323. What is the greatest common divisor of x and 120? 24 Suppose b + 177 = 4*x, 21 = 3*x + 5*b - 83. Let n = -58 - -1434. What is the greatest common divisor of x and n? 43 Let i(r) = -149*r + 2992. Let q be i(20). What is the greatest common divisor of 4596 and q?
{ "pile_set_name": "DM Mathematics" }
j be (-2)/t + 3972/20. Suppose 8*b - 97 - j = 0. Is b composite? False Let a = -25860 - -40067. Is a prime? True Let s(q) = 2366*q + 869. Is s(12) a composite number? True Let x(q) = -25*q**3 - 2*q**2 - 28*q + 9. Let k be x(6). Let o = k - -15398. Is o a prime number? True Suppose 0 = 28*k - 96*k + 10616092. Is k a composite number? False Let w be -4 - (-1680)/27 - (-2)/(-9). Let b = w + -56. Suppose -b*m + z - 100 = -760, -1653 = -5*m + z. Is m prime? True Suppose 2*y + 4*n = 98518, 6*y + 2*n - 295519 = -3*n. Let j = -21687 + y. Is j prime? False Let x(u) = 211*u**2 - 245*u + 279. Is x(-47) prime? False Suppose -2 = 2*u, -4*c + 858407 = -445*u + 450*u. Is c composite? False Let o be (-3 - 0)/((-4)/1440). Let r = -363 + o. Is r a composite number? True Let j = 574 + -579. Let d(f) = 10*f**2 + 4*f + 4. Let m(t) = -11*t**2 - 5*t - 3. Let g(z) = -2*d(z) - 3*m(z). Is g(j) a composite number? True Suppose 0 = 16*y + 145*y - 16479799. Is y a prime number? True Let k(n) = -4*n + 27. Let d be k(-8). Let h(l) = 134*l + 28 + 36 - d. Is h(4) a prime number? True Let g(w) be the first derivative of -w**4/4 - 16*w**3/3 + 19*w**2/2 + 30*w - 30. Let l be g(-17). Is (3194/l)/(((-28)/(-8))/(-7)) a composite number? False Let y be (2 - 2) + -12 + 5. Let a = 27 + y. Is 10/a + 2425/2 a composite number? False Let o(w) = 805*w - 2. Let q be o(3). Let x = q - 1326. Is x a prime number? True Let a = -13954 - -47940. Is a a prime number? False Let j(r) = -77 + 46 - 139*r + 145. Is j(-33) prime? False Is ((-11)/561*17)/(27959752/(-9319917) - -3) a composite number? False Let a(z) = z + 1. Let r be a(-4). Let l be ((-351)/(-15) - r)/(12/40). Suppose -l - 845 = -3*k. Is k prime? True Let k be 4/10 - 56/(-35). Suppose -3*j + i = 26, -k*i - 12 = -4. Let f(l) = -3*l**3 - 12*l**2 + 12*l + 13. Is f(j) prime? True Let i(j) = 4*j**3 + 31*j**2 - 48*j + 11. Is i(8) prime? True Let a = -97183 - -248502. Is a prime? False Let s be 0/(-17) + 2 + 1319 + 3. Is (-2 - -19)/((-3968)/s + 3) composite? True Let n(h) = 132*h**2 - 8*h + 351. Is n(25) prime? True Suppose -3*z - 2*u + 1964402 + 3921807 = 0, 4*z + 2*u - 7848276 = 0. Is z a composite number? True Let o(y) = 3747*y**2 - 41*y - 41. Is o(-1) a composite number? True Suppose -2*n + 3*j - j + 2300 = 0, 4*n + j - 4575 = 0. Suppose -m = -4*u + 4230, 0 = 4*u - u + m - 3176. Let q = u + n. Is q a composite number? False Let t(v) = v**3 - 66*v**2 + 171*v - 155. Is t(90) a composite number? True Let s be (-21)/(-21) - (-2 + 15) - -6. Suppose 6 = 2*x - 2. Is (x/s)/(1983/1989 + -1) prime? False Is -1388*(14 + 123/(-4)) composite? True Let t(d) = -3*d + 1. Let k(g) = -452*g - 172. Let v(r) = -k(r) + 3*t(r). Is v(6) a composite number? False Let p(l) = 2*l**3 - 14*l**2 - 3*l + 12. Let z be p(7). Is ((-3)/z)/(14/62202) a prime number? True Let x = -58 + 71. Let i = 17 - x. Suppose -i*v = -232 - 244. Is v composite? True Let t = 27516 + 96382. Is t composite? True Let j(c) = -2*c + 4. Let u be j(2). Let a be (-1*5)/(5/(-5)). Suppose u = a*l - 172 - 103. Is l a composite number? True Let p = 1035235 + -376602. Is p prime? True Let d(w) = 3116*w + 51. Let j be d(4). Suppose -8*v - j = -13*v. Is v prime? True Suppose 2*w + 263 + 117 = -4*y, 971 = -5*w - 3*y. Is (w/(-10))/7*1535/2 a prime number? False Let s(o) = -49*o**3 - 4*o**2 - 5*o + 14. Let d be s(-6). Suppose -7*n + 18097 = -d. Is n prime? False Suppose 49*j = 52*j - 6. Is j/(-3) - (-31101)/9 composite? True Let a = -1332 + 940. Let d = 203 - a. Suppose t = q + 3*q - d, 4*t = 4. Is q a prime number? True Let c = 84292 - -2631. Is c composite? False Let a be (-53)/(-106)*(-18)/(-1). Suppose -a*q + 2162 = -817. Is q a composite number? False Suppose 0 = -7*v + 6*v - 4*z - 129, 0 = -3*v + 3*z - 372. Let t(r) = -9*r**2 + 4*r - 16. Let w be t(-8). Let j = v - w. Is j prime? True Let x be 4/6 - (51/9 + -1). Let l = x + 14. Suppose 0 = 3*t - 5*t - l, 3*t = -f + 16. Is f a prime number? True Let w(b) = 367*b - 2. Let o be w(1). Let x be 10*o - (8 + 0 + -5). Suppose -x = -3*j - 4*j. Is j prime? True Let k(j) = -26*j + 61. Suppose i = 3*w + 23, 4*w - 3*i + 44 = -5*i. Is k(w) a prime number? False Let h(j) = -3212*j**3 + j**2 - 6*j - 19. Is h(-2) a composite number? False Let g(f) be the first derivative of -1333*f**3/3 + 11*f**2/2 + 29*f + 23. Let t(l) = 333*l**2 - 3*l - 7. Let a(w) = 2*g(w) + 9*t(w). Is a(-1) a prime number? True Suppose -74 = 3*p + j, -4*p = -5*p - 2*j - 18. Is 208/p + (6014 - 1) a prime number? False Suppose -4894 = 6*s + 21074. Is s/(0 - 8)*1 a prime number? True Let q be -1*(5/10 - (-78)/4). Is 4/2 + q + 5531 a composite number? True Suppose 25*g + 6128402 = 24455427. Is g a composite number? True Suppose 0 = -4*o - 3*r - 58923, -2*o - 39885 = -2*r - 10441. Let q = -7844 - o. Is q prime? True Let r(a) = -1205*a + 343. Is r(-6) a composite number? False Let y be 134345*12/90 - (-2)/6. Let z = 43160 - y. Is z composite? False Let a(x) be the third derivative of -7*x**4/24 - 35*x**3/6 - 13*x**2. Let n be a(-5). Is n - (-506 + 1) - 51/17 a composite number? True Suppose -14 = -2*l - q, 2*q = 3*l - 5*l + 14. Suppose 0 = -6*y + 13*y + l. Is (-149)/y*1*7 a composite number? True Let w(c) = 601*c - 39. Let l(f) = 301*f - 22. Let u(d) = 5*l(d) - 2*w(d). Is u(3) prime? True Let b = 59726 - 1473. Is b prime? False Suppose 0 = -m - 3*j + 296419, -3*j - 592892 = 32*m - 34*m. Is m a composite number? False Let z(p) = p**3 + 12*p**2 - 14*p - 19. Let l be z(-13). Let h(r) = 65*r**2 + 5*r - 19. Is h(l) a prime number? False Let r(y) = 4*y**3 + 6*y**2 - 11*y + 7. Suppose -3*k = 3*c - 0*k - 51, 0 = 4*c + k - 71. Is r(c) a composite number? True Suppose 3*b - 17*a + 14*a - 41244 = 0, -3*a = 5*b - 68764. Is b a prime number? True Suppose -m - 5*v + 7 = 3, 2*m = -4*v + 2. Let k be ((-16)/5)/((-20)/50) + m. Suppose 0*u = k*u - 12999. Is u composite? True Let a = -109388 + 60210. Let f = a + 84937. Is f composite? False Let o(y) = -3*y + 5 - 20 + 53. Let u be o(11). Suppose -4*k = 5*x - 3965, -k - 6119 + 2179 = -u*x. Is x a prime number? False Let q = 11526 - 815. Is q a prime number? True Suppose 72*g = -2*f + 67*g + 277099, 3*g = f - 138566. Is f composite? True Let x(l) = -3*l - 13 + 36 - l**3 + l + 0*l + 20*l**2. Let a(z) = 5*z**3 - 100*z**2 + 10*z - 116. Let y(s) = 2*a(s) + 11*x(s). Is y(18) a composite number? True Let l(f) = 3*f - 24. Let k be l(9). Suppose 0 = -k*t + 125 + 76. Let z = t - 34. Is z composite? True Suppose 0 = -2*j - 5*r + 28522, 30*j - 71365 = 25*j - 5*r. Is j composite? False Let t be (28/35*-1)/(5/(-247175)). Suppose -t - 15658 = -6*a. Is a a composite number? True Let o(i) be the first derivative of 3*i**3 - 5*i**2/2 + 45*i + 78. Is o(-19) prime? True Let s = 492876 - 185054. Is s a prime number? False Suppose 0 = 5*h, h + 2*h - 66 = 3*a. Let f be (a/(-22))/(2/4). Suppose -5*t - 2*u = -1683, 0*t - t = -f*u - 339. Is t a composite number? False Let f = -1119 + 889. Let g = f - -3201. Is g prime? True Let r(h) = h**3 + 4*h**2 - 7*h + 24671. Is r(0) composite? False Let z = 4811 - -1478. Is z a prime number? False Let s = 58 + -52. Is (479/1)/(1 - s/9) prime? False Suppose -4*z = -4*i - 379500, 240*z = 237*z - 4*i + 284674. Is z prime? False Let b be (-5030219)/(-10) - (-13)/(-780)*-6. Is b/20 - (-11)/(-110) prime? False Let z be -34*(39/6 - 6). Let o(d) = 3*d**2 - 5*d + 27. Is o(z) a composite number? True Let j be 27 + -20 + 8/((-4)/2). Suppose -j*y + 0*y = 2*r - 7427, r = 2*y - 4942. Is y a composite number? False Suppose -b + 2*q + 5577 = 0, -2*q - 5580 = -b + 3*q. Let x = b + -2673. Is x a prime number? False Suppose -479883 = -14*r - 1151462 + 4186125. Is r a composite number? True Let h(n) = -107*n - 72. Let l be h(-17). Let r = l + -7251. Let y = -1675 - r. Is y prime? False Let w = -105027 + 182708. Is w prime? True Let h(i) = 193*i**2 + 222*i + 1. Is h(-14) a composite number? False Let b be (16580/3)/((-41)/(-738)). Suppose -6*k = 18*k - b. Is k composite? True Suppose -23597 = -q + 5*d + 26615, 3*d = -q + 50156. Is q composite? False Let g(s) = 28*s + 165. Let j be g(-6). Is ((-34227)/6)/(j*(-2)/(-4)) prime? True Let g(f) be the first derivative of 79*f**3 + f**2 + 19*f + 30. Is g(6) a composite number? False Let c(y) = 2*y**3 - 22*y**2 + 75*y - 153. Is c(38) pri
{ "pile_set_name": "DM Mathematics" }
lse Is 344021135 a composite number? True Is 193457269 prime? True Is 5972443 a composite number? False Is 32721307 a prime number? True Is 4331186 a prime number? False Is 10876802 a prime number? False Is 79348613 prime? True Is 2670134 composite? True Is 56875073 a composite number? False Is 568859 composite? True Is 1276103 a prime number? True Is 122369551 a prime number? False Is 1649719 prime? False Is 12909521 prime? True Is 92409 prime? False Is 1130081 composite? False Is 887846798 a prime number? False Is 188060261 a composite number? False Is 1121410499 prime? False Is 16133743 prime? True Is 25143047 prime? True Is 850807 prime? True Is 6416887 composite? False Is 65934461 a prime number? True Is 9740063 a prime number? False Is 643444143 a prime number? False Is 22615135 a prime number? False Is 65925169 composite? True Is 601187 a composite number? False Is 785171359 a composite number? True Is 3513787 a composite number? False Is 6716509 prime? False Is 275190431 composite? False Is 14743459 a composite number? True Is 38985127 prime? True Is 176299 prime? True Is 88771 a composite number? False Is 400615163 a prime number? False Is 632647 a prime number? True Is 450929 composite? False Is 6020611 a composite number? True Is 379759 prime? False Is 85815011 prime? True Is 3520369 a composite number? True Is 103119769 a composite number? False Is 4570297 prime? False Is 3377546 a composite number? True Is 912619 a composite number? True Is 1506943 a prime number? True Is 10684607 a composite number? False Is 22288949 composite? False Is 200697085 a prime number? False Is 40316987 composite? True Is 9460817 composite? True Is 784411657 a prime number? True Is 4588211 a prime number? True Is 13345051 a prime number? False Is 7515593 composite? False Is 88601 prime? False Is 38154329 a composite number? True Is 25560167 composite? True Is 103357627 prime? False Is 114200549 prime? True Is 474857 a prime number? True Is 336961 a prime number? True Is 576781 a composite number? True Is 99304979 a prime number? False Is 539354987 a composite number? True Is 2247037 composite? True Is 12524858 a composite number? True Is 1069363 a composite number? False Is 8536721 composite? False Is 58788361 a prime number? False Is 981741 composite? True Is 25536383 composite? False Is 4883831 a composite number? True Is 8680691 composite? False Is 4322323 prime? True Is 79714265 a composite number? True Is 306571 a composite number? True Is 25024301 a composite number? False Is 23425709 composite? False Is 1630393 composite? False Is 72468859 a composite number? False Is 20821579 composite? True Is 349303 composite? False Is 4301789 a prime number? True Is 26792219 a prime number? True Is 915241 a prime number? False Is 360846839 a prime number? False Is 1409567 composite? True Is 188130223 a prime number? True Is 15026123 a composite number? True Is 997307 a prime number? True Is 43204859 prime? False Is 2717434 a composite number? True Is 17142953 a composite number? True Is 25091939 composite? False Is 20873483 a prime number? True Is 917779 a composite number? True Is 54953 a composite number? True Is 174659 prime? True Is 452035453 a composite number? False Is 42812659 prime? True Is 35839631 prime? True Is 19299691 prime? False Is 88497499 a composite number? False Is 437467517 composite? False Is 13594741 prime? False Is 71531 a prime number? False Is 2536477 a composite number? False Is 3534173 a prime number? True Is 734467 composite? True Is 6836611 composite? True Is 6828805 composite? True Is 21205819 prime? False Is 766837 composite? True Is 3060749 a prime number? True Is 11184727 composite? True Is 35680639 a composite number? False Is 1617307 a prime number? False Is 149204227 a prime number? True Is 12942881 composite? True Is 229514 a composite number? True Is 21046283 prime? False Is 26559913 a prime number? True Is 10602509 composite? True Is 1911199 composite? False Is 11575973 a prime number? True Is 218483183 a composite number? False Is 10654591 composite? True Is 2028343 composite? True Is 106 a composite number? True Is 178822727 prime? False Is 30015131 a composite number? True Is 52691906 a composite number? True Is 53699699 a composite number? False Is 37524329 composite? False Is 248150185 a composite number? True Is 3817273 a prime number? True Is 14040947 prime? True Is 8440961 a prime number? True Is 99213 composite? True Is 75476033 composite? False Is 3089159 a prime number? False Is 49557439 a prime number? False Is 313416577 a prime number? False Is 778333 prime? True Is 204803971 prime? False Is 104882017 composite? False Is 268474733 a prime number? False Is 40162835 a prime number? False Is 16978639 prime? True Is 68524211 prime? False Is 7645927 prime? False Is 4019527 a composite number? False Is 13118563 a prime number? True Is 3013957 a composite number? False Is 1708505 a composite number? True Is 191491 composite? False Is 1904989 a prime number? False Is 1293553 a composite number? False Is 13232099 composite? False Is 310559 composite? False Is 6158843 a composite number? False Is 834751447 a prime number? False Is 2007121 a prime number? False Is 227992299 prime? False Is 23189431 prime? True Is 74402719 prime? False Is 257368769 a prime number? False Is 54304373 composite? True Is 18256787 a prime number? False Is 15250045 prime? False Is 3008261 prime? False Is 356314457 a composite number? True Is 36359471 prime? True Is 17443451 composite? True Is 12445109 composite? False Is 11460409 a composite number? True Is 18650713 composite? False Is 1529179 a prime number? False Is 10005041 composite? False Is 631453 prime? True Is 32516339 a prime number? False Is 1121686105 a composite number? True Is 2909389 prime? False Is 3483659 prime? True Is 1305727 prime? False Is 22227197 a prime number? False Is 4221051 composite? True Is 48399931 a prime number? True Is 15262411 a composite number? False Is 800861 composite? False Is 722119 prime? True Is 723187343 a prime number? False Is 77667791 a composite number? True Is 4559263 composite? True Is 5268503 a composite number? True Is 123372671 a composite number? False Is 1741945 a prime number? False Is 7809199 a prime number? True Is 3531907 a composite number? False Is 4254007 a prime number? True Is 329032577 prime? True Is 16833343 prime? True Is 10668407 a composite number? False Is 27004557 prime? False Is 8692433 a composite number? False Is 44792879 a prime number? True Is 6521963 composite? True Is 15625877 composite? True Is 9002107 a composite number? False Is 29143357 composite? True Is 2651597 prime? False Is 8951563 prime? True Is 1113701 prime? True Is 8258083 a prime number? True Is 14176549 a composite number? False Is 865087 prime? True Is 159393707 prime? False Is 921121 a composite number? False Is 63466679 a prime number? False Is 13752611 composite? False Is 12505543 a composite number? False Is 19027481 a composite number? True Is 6417917 composite? True Is 330950443 composite? True Is 13305499 composite? False Is 20338366 composite? True Is 8672009 prime? False Is 34427461 a prime number? True Is 35887297 composite? True Is 9016061 prime? True Is 7056851 prime? True Is 12434933 a prime number? False Is 85474709 a composite number? True Is 12944687 a prime number? False Is 7296521 composite? False Is 2668771 prime? False Is 38243839 prime? False Is 44694505 a composite number? True Is 17249189 composite? False Is 56668211 composite? False Is 1953761 a prime number? True Is 79271 prime? False Is 126283663 a prime number? False Is 29432639 a composite number? False Is 10790743 a composite number? True Is 1693553 a prime number? True Is 2874797 a prime number? False Is 1743379 a prime number? False Is 616709 prime? False Is 895189 a prime number? True Is 263183313 a prime number? False Is 993486359 a prime number? True Is 34216661 a composite number? False Is 19956637 composite? True Is 375845551 composite? True Is 15510387 composite? True Is 27575203 composite? False Is 3252397 prime? True Is 126246119 prime? True Is 453757 composite? False Is 276051019 a composite number? True Is 31360657 prime? True Is 70256717 a composite numbe
{ "pile_set_name": "DM Mathematics" }
4 Let q(n) = 4*n**3 + 16*n - 58. Let i(a) = -9*a**3 - 33*a + 103. Calculate 3*i(j) + 7*q(j). j**3 + 13*j - 97 Let m(b) = b - 65. Let i(c) = -12*c + 948. Calculate -3*i(w) - 45*m(w). -9*w + 81 Let o = 204 - 198. Let r(g) be the second derivative of -g**3/6 + 4*g**2 - g + 14. Let q(h) = 1. Calculate o*q(i) - r(i). i - 2 Let f(c) = c**2 - 1. Let s(v) = 16*v**2 + v - 3. Let h(n) = 2*n**3 - 17*n**2 - 61*n + 69. Let a be h(11). What is a*f(q) - s(q)? -13*q**2 - q Let r = -7 + 12. Let y(u) be the second derivative of 7*u**3/6 - 5*u**2/2 + 101*u. Let v(x) = -4*x + 2. What is r*v(b) + 2*y(b)? -6*b Let c(g) = g**2 + 5. Let d(w) = -4*w**2 - 21. Suppose 2*j = 4*k + 68, -3*j + 359 = 365. Determine k*c(u) - 4*d(u). -2*u**2 - 6 Let c(n) = 2*n - 3. Let o(b) = 3*b - 4. Let y(l) = -6*l - 81. Suppose -d = 2*d + 12, 2*f + 3*d = -40. Let z be y(f). Determine z*o(t) - 4*c(t). t Let k(j) = 17*j**2 - 41*j - 23*j - 31*j - 8 + 83*j. Let t(f) = 4*f**2 - 3*f - 2. What is -2*k(u) + 9*t(u)? 2*u**2 - 3*u - 2 Let p(z) = -11*z**2 - 13*z. Let m be 44/(-66)*((-39)/(-2))/1. Let h = m - -20. Let y(k) = -5*k**2 - 6*k. What is h*y(l) - 3*p(l)? -2*l**2 - 3*l Let g(b) = 3*b**2 + 300*b - 1577. Let r be g(-105). Let l(d) = 7*d**3 - 2*d**2 - d. Let z(f) = -f**3 + f**2 + f. Calculate r*z(h) - l(h). -5*h**3 - h Suppose -24*c + 202 = -25*c. Let f = c - -201. Let g(d) = -9*d**3. Let t(r) = -r. Determine f*g(b) + t(b). 9*b**3 - b Let b(f) = -3*f**2 + 3*f - 231. Let k(r) = -16*r**2 + 20*r - 1156. What is 11*b(u) - 2*k(u)? -u**2 - 7*u - 229 Let r(v) = -v + 7. Let l(z) = 4*z - 555. Calculate -l(m) - 5*r(m). m + 520 Let g(f) = -10*f + 189. Let q(v) = -19. Calculate -4*g(c) - 44*q(c). 40*c + 80 Let c(z) = -7*z + 2. Let r(b) be the third derivative of b**5/60 - 5*b**4/6 + 5*b**3/6 + 3*b**2 - 123. Give -8*c(d) + 3*r(d). 3*d**2 - 4*d - 1 Let y(n) = -5*n**2 + 2*n + 17. Suppose 155*p - 3*h = 154*p, -4*p = 2*h + 28. Let g(d) = 4*d**2 - 2*d - 16. Give p*g(s) - 5*y(s). s**2 + 2*s + 11 Let m(r) = 20*r. Let c(b) = -145409*b - 2 + 2 + 145430*b. What is 4*c(y) - 6*m(y)? -36*y Let n(x) = -76*x**3 - x**2 + 10*x - 27. Let p(h) = -73*h**3 - h**2 + 12*h - 31. Determine -5*n(k) + 4*p(k). 88*k**3 + k**2 - 2*k + 11 Let u(t) = 5*t**3 - 2*t**2 - 5*t + 18. Let n(p) = p**3 - 2*p**2 - p + 3. What is 6*n(j) - u(j)? j**3 - 10*j**2 - j Suppose 3 + 6 = b. Let y be (-3)/b + 10/(-6). Let d(s) = 4*s + 2. Let o(r) = 3 + 5 - 13*r + 4 - 19. What is y*o(t) - 7*d(t)? -2*t Let t(l) = -7*l - 1. Let s(w) = 8*w + 2. Suppose -8 = -u - 2*j, -18 = 51*u - 52*u - 4*j. Calculate u*s(g) - 3*t(g). 5*g - 1 Let q(h) = -2*h - 2. Suppose 5*y - 158 + 128 = 0. Let l(d) = 1 + 3 - 2*d - y. Let w be (-45)/(-10)*(-4)/(-3). Calculate w*l(f) - 7*q(f). 2*f + 2 Let p(i) = -15*i - 7. Let u be 33/6 - 1/(-2). Let g(z) = 436376*z - 872751*z + 436368*z - 3. Give u*p(m) - 13*g(m). m - 3 Let s(c) = 8*c. Let r(a) be the second derivative of a**3/2 + 3573*a. Suppose 0 = -5*m - w + 25, 20 + 8 = 3*m - 2*w. What is m*r(f) - 3*s(f)? -6*f Let h(u) = 69*u**3 + 5*u**2 - 5*u + 5. Let w = 4413 - 4416. Let l(o) = 35*o**3 + 3*o**2 - 3*o + 3. Give w*h(b) + 5*l(b). -32*b**3 Let o(w) = 3722*w**3 + 8*w - 56. Let m(n) = 4963*n**3 + 11*n - 77. Determine -8*m(j) + 11*o(j). 1238*j**3 Let g(u) = 8066*u**2 - 11*u + 11. Let v(m) = 1613*m**2 - 2*m + 2. What is -2*g(t) + 11*v(t)? 1611*t**2 Let l(z) = 3494*z + 1. Let c(f) = -6989*f - 4. Calculate -2*c(d) - 5*l(d). -3492*d + 3 Suppose 38 = -3*g + 26. Let x(h) = -34*h**2 + 5*h. Let d(z) = 33*z**2 - 4*z. Give g*x(l) - 5*d(l). -29*l**2 Let c(s) = -3*s - 2. Let f(t) = 26*t + 308. Calculate -8*c(n) - f(n). -2*n - 292 Let j(k) = -5*k**2 - 54*k + 6. Let o(f) = f**2 + 19*f + 1. Calculate -j(l) - 3*o(l). 2*l**2 - 3*l - 9 Let n(o) = -25*o**3 - 2*o**2 + 2*o + 2. Let r(p) = -925*p**3 - 75*p**2 + 75*p + 75. Suppose 176 = -3*m - 4*f - 270, -m = -f + 151. What is m*n(d) + 4*r(d)? 50*d**3 Let l(g) = -10*g**3 + 4*g**2 + 4*g + 929. Let h(i) = 2*i**3 - i**2 - i - 16. Give -4*h(p) - l(p). 2*p**3 - 865 Let y(u) = 33*u**3 + 62*u**2 + 2630*u - 29. Let o(j) = -8*j**3 - 15*j**2 - 657*j + 7. Calculate 25*o(p) + 6*y(p). -2*p**3 - 3*p**2 - 645*p + 1 Let z(m) = 4*m + 14. Let x(k) = -k - 5. Let c(q) = -q**3 + 29*q**2 + 24*q + 197. Let u be c(30). Give u*x(n) + 6*z(n). 7*n - 1 Let n(g) = g - 15. Let z(k) = -7*k + 87. Let d(f) = -3*n(f) - z(f). Let y(t) = -6*t + 63. Calculate -8*d(l) - 5*y(l). -2*l + 21 Suppose 2*i - 13 = -t, 16 = -3*t + i + 4*i. Suppose 0 = -t*a + 25*f - 29*f, -5*a - 4*f = -8. Let w(d) = -d + 6. Let g(x) = -3*x + 17. Give a*g(q) - 11*w(q). -q + 2 Suppose -88 = 7*d - 109. Let y(t) = 85*t**2 + 4*t - 24*t + 144 - 15*t - 179. Let v(o) = 7*o**2 - 3*o - 3. Calculate d*y(b) - 35*v(b). 10*b**2 Let s(m) be the second derivative of 3*m + 0*m**4 + 0*m**3 + 1/2*m**2 + 1/20*m**5 + 4. Let w(z) = 6*z**3 + 3*z + 4. What is -4*s(j) + w(j)? 2*j**3 + 3*j Let c(x) = 73*x + 516. Let m be c(-7). Let n(t) = -2*t**3 + 3*t**2 - 13*t + 9. Let j(h) = -3*h**3 + 4*h**2 - 19*h + 13. Give m*j(v) - 7*n(v). -v**3 - v**2 - 4*v + 2 Let l(k) be the first derivative of k**4/4 - 8*k**3/3 + 5*k**2/2 - 1870. Let a(b) = -3*b**3 + 23*b**2 - 14*b. Determine 3*a(v) + 8*l(v). -v**3 + 5*v**2 - 2*v Let j(h) = 3*h**3. Let k(b) = 31*b**3 + 2*b**2 - 12*b. Determine -2*j(f) + k(f). 25*f**3 + 2*f**2 - 12*f Let h(k) be the second derivative of -11*k**4/12 + 2*k**3/3 + 3*k**2/2 + 7*k + 133. Let u(l) = -12*l**2 + 3*l + 2. What is 2*h(w) - 3*u(w)? 14*w**2 - w Let h be -2*2 - 3/(-3). Let l(m) = m**2 - 4*m. Let o(j) = 3*j. Suppose 2*z + 180 = -5*v + 4*v, -2*v + 4*z = 400. Let k = 188 + v. Determine h*o(c) + k*l(c). -2*c**2 - c Let z(a) = 2262439*a**2 - 10408*a - 10408. Let q(b) = -1304*b**2 + 6*b + 6. Calculate -5204*q(r) - 3*z(r). -1301*r**2 Let o(m) = -5169*m**3 - 55*m**2 - 49*m - 16. Let y(v) = -1034*v**3 - 10*v**2 - 9*v - 3. What is 2*o(w) - 11*y(w)? 1036*w**3 + w + 1 Let t(y) = 3*y**2 - 4*y. Let n(d) = -2*d**2 + 3*d. Let s be (25 - 2/2) + -4. Let j = 16 - s. Let g be (21/14)/(2/j). Calculate g*t(x) - 4*n(x). -x**2 Suppose 0 = z + 5*q - 33 - 23, -6 = 2*q. Let w = 74 - z. Let r(j) = 11 - 14 + w*j - 4*j + 2*j. Let f(m) = -m + 4. Determine 4*f(h) + 5*r(h). h + 1 Let r(p) = -p + 1494. Let k(m) = 1491. Calculate 3*k(u) - 2*r(u). 2*u + 1485 Let g(c) = 1. Let m(d) = -75*d + 2702. Let q be m(36). Let p(i) = i**2 + 7*i + 3. Calculate q*g(u) - p(u). -u**2 - 7*u - 1 Let p(i) = 398*i**3 - 10*i**2 - 3*i - 17. Let f(r) = 598*r**3 - 14*r**2 - 4*r - 24. Calculate -5*f(q) + 7*p(q). -204*q**3 - q + 1 Let z(m) be the first derivative of m**2/2 - 4*m - 11. Let o(r) = -2 + 9 + 66*r - 67*r. What is 3*o(v) + 5*z(v)? 2*v + 1 Let z(y) = -y. Suppose 0 = -73*n - 139 - 299. Let o(v) = -12*v + 2. Calculate n*z(m) + o(m). -6*m + 2 Let h(a) = 5*a**2 + 44*a + 4. Let s(c) = 9*c**2 + 77*c + 10. Let v(l) = -7*h(l) + 4*s(l). Let f(u) = -4*u**2 - 37. Calculate 2*f(i) + 7*v(i). -i**2 + 10 Let q(c) = -1475*c - 12 - 1484*c + 18 + 2962*c. Suppose 2*o - a = -13, 3*a - 7*a + 2 = 2*o. Let l(u) = -4*u - 7. Give o*q(n) - 4*l(n). n - 2 Let o(w) = -114*w**2 - 3*w + 2. Let v(u) = 368*u**2 + 10*u - 6. Let x(p) = -16*o(p) - 5*v(p). Let a(d) = 33*d**2 + 5*d + 4. Determine 3*a(r) + 7*x(r). -13*r**2 + r - 2 Let i(l) be the second derivative of -l**3/6 + l**2/2 - 4*l. Let q(v) = 2 + 86 - 82. Give -3*i(p) + q(p). 3*p + 3 Let x be 3 + -4 + 1 + 4. Let j(c) = 0 - 727*c + 1 - c**3 + 728*c + c**2. Let o(b) = 3*b**2 + 2*b + 4 - 2*b - 6*b**3 + 2*b. What is x*j(i) - o(i)? 2*i**3 + i**2 + 2*i Suppose 0 = -3*f + 2*c + 3*c - 52, 4*f + 4*c = -16. Let u be (-15)/12 + f/(-36). Let p(t) = 2*t + 3. Let g(a) = a. Determine u*g(x) + p(x). x + 3 Let o(y) = -1. Let f(u) = -4*u + 12. Let m(d) = d + 2. Let x(i) = f(i) + 3*m(i). What is 2*o(w) + x(w)? -w + 16 Let v(m) = -4840*m - 968. Let x(f) = -167*f - 33. What is 3*v(c) - 88*x(c)? 176*c Let o(x) = 189*x + 21. Let w(u) = -68 + 78 + 19*u - 8. Determine 2*o(g) - 21*w(g). -21*g Let d(f) = 2*f - 10. Let k(y) = y - 10. Let v(a) = a**3 - 57*a**2 + 14*a - 803. Let u be v(57). What is u*k(x) + 4*d(x)? 3*x + 10 Let k(i) = -1. Let d(v) = v**2 - 5*v - 3. Let m be ((-75)/20 - (-25 - -20))*4. Give m*k(q) - d(q). -q**2 + 5*q - 2 Let f(a) = -a**3 - 90*a**2 - 8*a + 28. Let j(r) = r**3 + 90*r**2 + 7*r - 31. Give 11*f(u) + 10*j(u). -u**3 - 90*u**2
{ "pile_set_name": "DM Mathematics" }
l)*l*l/(l/l**0))/((l/l**13)/l**(-2/7)) assuming l is positive. l**(117/7) Simplify q**(-4/3)*q**(-3/2)*q*(q/((q**(-1)*q)/q))**(-1/10) assuming q is positive. q**(-61/30) Simplify (g**(-21)/g**(3/4))/(g**(-19/3))**9 assuming g is positive. g**(141/4) Simplify o*(o*o**(2/13))/o*((o/o**(-2/9))/o)/o*o**(-3)/o*o*o**29 assuming o is positive. o**(3086/117) Simplify ((g**13*g*g/(g**(1/8)/g))/(((g/(g*g/(g/(g**(-5/8)/g))*g)*g)/g)/g*g*g**(4/9)))**(-5/6) assuming g is positive. g**(-2665/216) Simplify (w**(-2/13)/w)**(-3)*(w/w**12)/(w/(w**10/w)*w) assuming w is positive. w**(-7/13) Simplify l*((l**15/l)/l*l)/l*l*l**(-3/4)*(l**12*l)/l*((l*l**1)/l)/l*l*l assuming l is positive. l**(113/4) Simplify (l**(2/7))**(-1/20)*l**(-1/5)/(l**(-1/4)/l) assuming l is positive. l**(29/28) Simplify (l**(-13/2)*l/(l/(l*l/l**(-1/4)*l)))**(-3/7) assuming l is positive. l**(39/28) Simplify s**(-10)*s*(s*s/((s*s**(-3)*s)/s*s*s)*s)/s*(s**(1/13))**1 assuming s is positive. s**(-90/13) Simplify (s**(-2))**(1/18)/(s**(2/25)/((s/(s/(s*(s/(s/(s/(s/s**(-9)*s))))/s)*s))/s)) assuming s is positive. s**(-2743/225) Simplify (v*v**(-21))/((v/(v/(v**13/v)))/v)*(v**(-9)/v*v)**(-10/17) assuming v is positive. v**(-437/17) Simplify ((((b*b**(-1/40)*b*b)/b)/b)/b)**4*((b**(-21)/b)/b)/b**(-4) assuming b is positive. b**(-191/10) Simplify (((s**(4/7)*s)/(s*s*s**(-1/16)*s))**(24/13))**24 assuming s is positive. s**(-5508/91) Simplify (((f*f**(-13)*f)/f)/f**15)/((f*f**(-3/19))/(f/(f*f**(-1/6)/f*f))) assuming f is positive. f**(-3155/114) Simplify (v/v**2*v**(-11)/v)/(v**(-1/5)/v**(-3)) assuming v is positive. v**(-79/5) Simplify ((z*z*z*z**(1/3)*z)**(-2/21)/(z**8*z*z*z/(z*z**(1/2))))**27 assuming z is positive. z**(-3747/14) Simplify (s/(s**5/s))**(20/7)/(s*s**(1/5))**40 assuming s is positive. s**(-396/7) Simplify v/v**(-1/19)*v**(-12)*v**(4/11)*(v*v/((v/(v**(-4/7)/v*v))/v))/v assuming v is positive. v**(-14857/1463) Simplify ((k**(-2)*k)/k)**(3/5)/(k**16/(k*k*k**(-19))) assuming k is positive. k**(-171/5) Simplify (o**(2/9)/(o**(1/18)/o))/(o**(2/5)/(((o/(o/(o**(6/7)*o*o))*o)/o)/o*o)) assuming o is positive. o**(761/210) Simplify (o*o**(-9))**(-10)*((o/o**(-4/9))/o)**(2/39) assuming o is positive. o**(28088/351) Simplify (l*l**(5/3))**(-5)/(l**(-8)/l*l/(l**(-2/7)*l)) assuming l is positive. l**(-97/21) Simplify ((c**(-1/3))**21/(((c*c*c**(2/19))/c)/(c*c**4)))**(-5) assuming c is positive. c**(295/19) Simplify ((d**(-11/2)/d)/(d*d**(-47)*d))**(-33) assuming d is positive. d**(-2541/2) Simplify (b/b**5*b*(((b**(36/7)*b)/b)/b)/b)**(-1/8) assuming b is positive. b**(-1/56) Simplify ((v**1/v**(-2/5))/(v**(4/9)/v*v/((v*v/((v*v/(v/(v**5/v)*v*v*v*v)*v)/v)*v)/v)))**(2/51) assuming v is positive. v**(176/2295) Simplify (q**(-1/6)/((q/q**(-5)*q)/q*q)*(q/q**(-1/7)*q)/q*q/(q*q**(8/3)))**(-5/4) assuming q is positive. q**(1825/168) Simplify (n/n**(2/5))**(-2/85)/((n*n**(2/27)/n)/n**6) assuming n is positive. n**(67838/11475) Simplify ((y/y**(-1/5)*y**7/y)**30)**(-26/5) assuming y is positive. y**(-5616/5) Simplify (z**(-1/8))**(2/55)/((z/(z/(z**(-1/2)*z)))/z)**(1/36) assuming z is positive. z**(37/3960) Simplify ((i**(-7)*i)**(-39))**(2/37) assuming i is positive. i**(468/37) Simplify (c**(-2/31)*c)/(c/(c*c**3))*(c/c**(3/7))**33 assuming c is positive. c**(4946/217) Simplify ((u**2*u)**(-8)/((u**9*u)/(u*u**4*u)))**(15/2) assuming u is positive. u**(-210) Simplify (l/(l**(-5)*l)*l**(-4)*l*(l/((((l/(l**(-1/8)/l))/l)/l)/l))/(l*(l/(l**4*l*l)*l)/l))**26 assuming l is positive. l**(819/4) Simplify i**(-8/5)*i**9/i*i**(-1/2)/(((i/(i**10*i))/i*i)/i) assuming i is positive. i**(169/10) Simplify (w**25/(w**(5/3)*w))**(-8) assuming w is positive. w**(-536/3) Simplify (((((w/(w*w/((w**3/w)/w)*w)*w*w)/w)/w)/w**(-4))/(w**(1/4)*w)**(-4/19))**(-4/3) assuming w is positive. w**(-248/57) Simplify (q**(-3)*q*q**0)/(((q*q*q**(-1/2)*q)/q)/q)**(14/13) assuming q is positive. q**(-33/13) Simplify (d**(-3/5)*d*(d/(d*d**(2/5)))/d)/(d**(-14/5)*d*d*d**(2/19)) assuming d is positive. d**(-29/95) Simplify ((g/(g**(-5)*g)*g)/g**(-1/12))/(g**5*g)**(-16) assuming g is positive. g**(1225/12) Simplify (g*g**(2/9))**4*g**(-18)*g*(g**(-4)*g*g)/g assuming g is positive. g**(-136/9) Simplify z**(-8)*z*z**(-6/13)*z*(z*z/z**(-6))**(-2/31) assuming z is positive. z**(-2812/403) Simplify ((l*l*l**(1/4)/l*l*l)/l*l**(-10/3))**(-48) assuming l is positive. l**52 Simplify (d**16/d**(-2/3))**35 assuming d is positive. d**(1750/3) Simplify ((y**(-1)/y*y/(y*y**3))**(2/99))**(-13/5) assuming y is positive. y**(26/99) Simplify (z/(z**2*z)*z)**(-5/13)*z/z**13*z*z**(-2/3) assuming z is positive. z**(-440/39) Simplify ((j*j**(-37))/j**(-8))/(j**(-2/27)*j*j**(-4/5)) assuming j is positive. j**(-3797/135) Simplify v*v**(-7)*v**(1/5)*(v/((v*(v**(-7)*v)/v*v)/v*v))/(v*v**(-6/7)/v) assuming v is positive. v**(37/35) Simplify (((w/w**(-2/81))/w)/w)**(-39)*(w/w**(2/47))/(w/(w*w**(-26))*w*w) assuming w is positive. w**(13952/1269) Simplify o**0/(o*o**(1/7))*(o/(o*o**(-2/5)))**(-39) assuming o is positive. o**(-586/35) Simplify (v**(-23)*v*(v**(-7)/v)/v)**4 assuming v is positive. v**(-124) Simplify (t**(2/17))**(-4/9)/(t**(-8)*t**(-11)) assuming t is positive. t**(2899/153) Simplify (m**9/m)**37*(m/(m*m/m**(-3)*m)*m)**(5/4) assuming m is positive. m**291 Simplify (w**36*w**(-2/5))**3 assuming w is positive. w**(534/5) Simplify (h**(-8))**13/(h*h/h**(-6/7)*h)**(-18/7) assuming h is positive. h**(-4610/49) Simplify (o**(10/9)*o**(-2/19))/(o*o**(1/13)*o**(-3/5)*o) assuming o is positive. o**(-5236/11115) Simplify (w**(-9)*w*w*w*((w**0/w)/w)/w)/(w**(1/8)/(w**(1/2)*w)) assuming w is positive. w**(-61/8) Simplify ((t/(t*(t**(-2/9)/t)/t))/t)**(2/11)/(t**(-15/2)*t**30) assuming t is positive. t**(-401/18) Simplify (b*b**10/b)**(1/42)/(b**5*b*b)**3 assuming b is positive. b**(-436/21) Simplify (m*m/(m/(m*m**(-1/10)))*m)**9/(m/m**17*m*m**(2/17)) assuming m is positive. m**(6967/170) Simplify ((h/h**(3/4))/h*h**(2/15)*(h**(-4))**(9/10))**23 assuming h is positive. h**(-5819/60) Simplify ((l**3*l)**(1/8))**(-4/9) assuming l is positive. l**(-2/9) Simplify (((l/l**(-8))/(((l/(l/(l**(3/2)*l)))/l)/l))**(-6/7))**(-31) assuming l is positive. l**(1581/7) Simplify (h**(-19)/h)/(((h/h**(-1))/h)/h*h)*(h**1/h)**(-10/3) assuming h is positive. h**(-21) Simplify z**(-2/13)/z**(7/6)*(z**(2/7))**(8/3) assuming z is positive. z**(-305/546) Simplify ((n**4*n*n**(1/11))**15)**(12/13) assuming n is positive. n**(10080/143) Simplify ((k/k**(-25))/k**(-13))/(k**3)**(3/19) assuming k is positive. k**(732/19) Simplify ((r*r*(r/(r/(r*r/r**5)))/r*r)/r*r)**(3/22)*r**23/(r**14*r) assuming r is positive. r**(173/22) Simplify d**(14/9)/(d*d**(-20))*d**(4/11)*d/(d*d**(2/37)/d) assuming d is positive. d**(80092/3663) Simplify (i*i/i**16)**(-5/3)/(i**(-3/16)/(i*(i**(18/7)/i)/i)) assuming i is positive. i**(8431/336) Simplify (t**9*t*t**18)/((t/(t*t**(-11)*t))/t**(5/11)) assuming t is positive. t**(203/11) Simplify (y/((y**(-15/4)/y*y*y)/y)*y**(1/4))**(-1/6) assuming y is positive. y**(-5/6) Simplify g*g**(-9)*g*(g*g*(g*g**(-5/9))/g*g)/g*(g**(-6/13)/g)/g**4 assuming g is positive. g**(-1289/117) Simplify (f**(1/37)*f/(f/(f*(f/f**(-17))/f)))/(f/((f*f/((f/(f*f**27*f))/f*f)*f)/f)*f*f**(-1)) assuming f is positive. f**(1740/37) Simplify (c*c**25)/c*c/((c**(-35)/c)/c)*(c*c**(-4/3)*c*c)**(1/35) assuming c is positive. c**(1324/21) Simplify (p**(4/7))**(-2/31)*p**(-1/4)*p/(p*p**(2/141)) assuming p is positive. p**(-36845/122388) Simplify ((o**4*o/o**(-2))/(o/o**(2/7)*o**6))**(-9) assuming o is positive. o**(-18/7) Simplify ((i**(-1/4)/i)/(i*i/(((i/((i**(-3)*i)/i))/i)/i))*(i*i/(i/(i/(i/(i/((i*i**(-1/2))/i))))))**(3/4))**(1/8) assuming i is positive. i**(5/64) Simplify (n**6)**28/(n**(-2/35)/(n/n**(-3/2))) assuming n is positive. n**(11939/70) Simplify ((u**3*u/(u**5/u))/((u/(u**0*u)*u)/((u*u**(-2/15))/u)))**(-7) assuming u is positive. u**(119/15) Simplify (((d**14*d)/d)/(d**(2/11)*d*d))/(d**(-1/3)/d*d**(10/9)*d) assuming d is positive. d**(1093/99) Simplify (t**(-1/2)*t*t**(1/5)*t)/(t**7/(t**(2/41)/t)) assuming t is positive. t**(-2563/410) Simplify (y*y**(1/2)*y)/(((((y**(-1/21)/y*y)/y)/y)/y)/y)*(y*y**(-2/13)*y)**(-29) assuming y is positive. y**(-25657/546) Simplify (a/a**(-1/22)*a*a*a**(-12)*a*a)**(-8/13) assumin
{ "pile_set_name": "DM Mathematics" }
he remainder when j + 3 + 69/1 is divided by v? 16 Suppose 14 = -u + 3*w + 48, 3*u - 3*w = 90. Suppose -k + 2*i + 27 = -2*i, -k - 3*i = 8. What is the remainder when u is divided by k? 0 Let v(g) = -7*g - 6. What is the remainder when v(-8) is divided by (48/(-40))/(36/(-960))? 18 Let m = 8866 + -8785. What is the remainder when 1223 is divided by m? 8 Let k = -1084 + 1165. Calculate the remainder when 899 is divided by k. 8 Let k(j) = j**3 + 6*j**2 - 11*j - 10. Calculate the remainder when 46/8 + -5 + 9333/244 is divided by k(-7). 3 Let l(z) = 22*z + 4. Let a be l(3). Let r = a + -11. Suppose 0 = t + 146 - 164. Calculate the remainder when r is divided by t. 5 Let c be 30/135 + (-4504)/18. Let q be 0/(4 + -5) + 407. Let y = q + c. What is the remainder when y is divided by 40? 37 Suppose -3*q + 51 = 9. Let i be (-54)/(-10)*(-150)/(-9). Let d = -51 + i. What is the remainder when d is divided by q? 11 Let q = -201 + 163. What is the remainder when 202 is divided by q/95*5*41/(-2)? 38 Suppose 4*a = 2 - 22. Let b be 20*(a - -2)/(-12). Suppose -624 - 316 = -b*f. What is the remainder when f is divided by 48? 44 Let c = -1306 + 1328. Let n = -34 + 40. What is the remainder when c is divided by n? 4 Let m = -25637 - -25652. Suppose 14 = -5*j - 91. Let v = j - -31. What is the remainder when m is divided by v? 5 Let r be ((-2)/3)/((-1)/3). Suppose c + r = 0, 2*n - 4*n = -c - 618. What is the remainder when n is divided by 62? 60 Let t(s) = s**3 + 5*s**2 + s + 2. Let d be t(-5). Calculate the remainder when (2 - 470/(-6)) + (-2)/d is divided by (-4 + 3)/((-3)/42). 11 Suppose -20*i - 1341 = -17*i. Let p = 806 + i. Calculate the remainder when p is divided by 19. 17 Let g = 32 + -28. Suppose 5*v + 2 - 21 = 4*s, g*v = -2*s + 10. Suppose 0 = v*n - l - 62, 3*l = -3*n - 30 + 108. What is the remainder when n is divided by 8? 6 Suppose 30*b - 34*b + 4490 = 2*a, -5*a = -25. Suppose 4*j = -24*j + b. Let k(y) = 3*y**2 - 4*y - 7. Calculate the remainder when k(6) is divided by j. 37 Let s(r) = 2*r**2 + 59*r - 1346. What is the remainder when 167 is divided by s(-45)? 20 Suppose 29*u - 600 - 3866 = 0. Suppose -2*s = -0*f - f + 33, s = 4. What is the remainder when u is divided by f? 31 Let x be (-58)/(-145) - (1 + (-9256)/10). Suppose -6*k + x = -569. Calculate the remainder when k is divided by 65. 54 Suppose -10*p - 17 = -223 - 34. Let v(b) = 21*b + 1. What is the remainder when v(5) is divided by p? 10 Let r(a) = a**3 - 3*a**2 - 69*a + 54. Calculate the remainder when r(14) is divided by 11. 1 Let v(k) = -28*k - 624. What is the remainder when 3858 is divided by v(-23)? 18 Let i = -74 - -74. Suppose i = 72*j - 73*j + 31. Calculate the remainder when j is divided by 23. 8 Suppose -3*w + 47791 = 2*o, 40*w = 4*o + 37*w - 95555. Calculate the remainder when o is divided by 12. 11 Suppose -37 - 99 - 500 = -12*x. What is the remainder when 688 is divided by x? 52 Let n = 985 + -1012. Let t(i) = -71*i**3 + i + 1. Let c be t(-1). Let f = n + c. What is the remainder when 174 is divided by f? 42 Let r = 132 - -1667. Calculate the remainder when r is divided by 36. 35 Let k(f) = f + 8. Let p be k(16). Suppose 4*h - 57 = -13. What is the remainder when p*(-4)/8*(-8)/3 is divided by h? 10 Let l = -74 - -81. Let y(a) = -a**2 - 7*a - 14. Let n be y(-8). Calculate the remainder when (-4)/n + 1988/77 is divided by l. 5 Let t = 7106 - 6945. What is the remainder when t is divided by 87? 74 Let p(x) = 2*x**2 - 14*x - 9. Let r be p(8). Suppose r*v = -1 - 13. What is the remainder when 54 - (v + 4)*-1 is divided by 15? 11 Suppose -4*n + 83 = 67. Suppose -c = -o + 16, 3*c - 72 = -n*o + o. What is the remainder when o/50 - 2/5 - -38 is divided by 14? 10 Let o be (26/(-6) - -4) + (-1551)/(-9). Let p = 212 - o. Calculate the remainder when 152 is divided by p. 32 Suppose 5*g - 13 = 4*b, -8*b - 13 = -3*g - 3*b. Calculate the remainder when 1/((0 + g)*(-6)/(-102)) is divided by 11. 6 Suppose -511*m - 315 = -520*m. What is the remainder when 30/m + (-1696)/(-14) is divided by 1? 0 Suppose 2*u - 2 = 3*u. Let w(t) = 2*t**2 + 8*t - 11. What is the remainder when ((-31)/3)/(u/6) is divided by w(-6)? 5 Let p(o) = o**3 + 43*o**2 + 43*o + 58. Calculate the remainder when 1471 is divided by p(-42). 15 Let u(c) = 146*c**2 + 114*c - 26. Calculate the remainder when 1958 is divided by u(-3). 66 Suppose -s + 6 = 20. Let q = s + 20. Suppose q*n - 15 = 15. What is the remainder when 13 is divided by n? 3 Suppose 5*f = -9*x + 5*x + 1714, -1388 = -4*f + x. What is the remainder when f is divided by 9? 4 Suppose 9865*w - 9906*w + 138006 = 0. Calculate the remainder when w is divided by 259. 258 Suppose -81*y = 738*y - 214*y - 53240. Calculate the remainder when -1 + 346 - (4 + -7) is divided by y. 84 Let r = 91 - 83. Suppose 62 = r*l - 2. What is the remainder when 168 is divided by (-464)/(-28) + l/(-14) + 1? 15 Let a(b) = -b**2 + 24*b - 32. Suppose -5*x + 120 = -2*g, -2*x = 4*g - 9 - 15. Calculate the remainder when 140 is divided by a(x). 8 Let t(g) = -3*g**2 + 252*g - 90. What is the remainder when t(78) is divided by 78? 66 Suppose -4*n + 4*k = -152, 5*k = 25*n - 30*n + 230. Calculate the remainder when 55 is divided by n. 13 Calculate the remainder when (11 - (-635)/(-55))*-209 is divided by 51. 12 Let t be (40/(-12))/(0 + (-4)/6). Suppose 0 = -8*n + t*n + 18. Calculate the remainder when (-1040)/(-25) + n/(-10) is divided by 21. 20 Let s = -307 + 543. Let u = 340 - s. Let q = 78517 - 78496. What is the remainder when u is divided by q? 20 Let y be 0 - (1 - 2 - 1). Suppose -y*d + 18 = -d. Let h = 88 + -57. Calculate the remainder when h is divided by d. 13 Suppose 3*u + 6*w - 1301 = 10*w, 2974 = 7*u + 3*w. Let z = 35 - -4. What is the remainder when u is divided by z? 37 Calculate the remainder when 1019 is divided by 2 - (-747)/12 - (4 - 75/20). 59 Suppose s = 2, 0*f + 5*f + 3*s = 816. Calculate the remainder when f is divided by 22 + -140*57/(-133). 80 Let d(h) be the third derivative of h**4/6 + 8*h**3/3 + 39*h**2. What is the remainder when 107 is divided by d(5)? 35 Suppose -j = 3*j - 112. Suppose -x + 44 = 3*l, 5*x = 5*l + 311 - 11. Let n = x - j. Calculate the remainder when n is divided by 10. 8 Suppose -19*n - 26*n - 50*n + 216790 = 0. Calculate the remainder when n is divided by 79. 70 What is the remainder when 661/(13/13) + 5 is divided by 117? 81 Suppose 0*l = 5*l - 4*j + 124, 2*l + 2*j + 64 = 0. Let g = 33 + l. Suppose -12 + 497 = g*q + m, -20 = 4*m. Calculate the remainder when q is divided by 9. 8 Let r = 56 - 48. Calculate the remainder when 18 is divided by (r + -11)*-1*1 + 4. 4 Suppose -5*s + 66 = -34. Suppose 2*i = i - 0*i. Suppose 5*p + 29 - 64 = i. Calculate the remainder when s is divided by p. 6 Let n = -449 - 47. Calculate the remainder when -2 + -3 + 2 + n/(-8) is divided by 15. 14 What is the remainder when 1635 is divided by -8 - (9/(-126) + (-4002)/28)? 15 Let f = 12918 + -12661. Calculate the remainder when f is divided by 228. 29 What is the remainder when (12 - 32/12)*((-630)/(-24) - 3) is divided by 110? 107 Let f(u) = 260*u + 5579. Calculate the remainder when f(0) is divided by 60. 59 Suppose -58*z = -36*z - 506. Suppose z + 121 = 6*q. What is the remainder when 1/(-2)*142/(-1) is divided by q? 23 Let w(m) = 2*m**2 - 13*m - 122. Calculate the remainder when 2083 is divided by w(-7). 6 Suppose 13*m + 24395 = 20*m. Suppose m - 1070 = 7*u. What is the remainder when u is divided by 70? 65 Suppose -73 = -3*g - 2*k, 2*g - 3*k = -8*k + 34. Suppose -4*l - 4*x + 140 = 0, 4*x - 5*x + 3 = 0. Calculate the remainder when l is divided by g. 5 Calculate the remainder when 112 is divided by (-275)/(-16) + (-1152)/6144. 10 Let y = 12037 - 12026. What is the remainder when 664 is divided by y? 4 Let f = 59 + -35. Suppose -3*i = -3*o + 54, 4*i + 44 = 2*o - 0*o. Let j(l) = l**2 - 8*l - 39. What is the remainder when j(o) is divided by f? 21 Calculate the remainder when 279 is divided by (-7708)/(-36) + 112/126. 64 Let f(o) = 2*o + 35. Let y be f(-18). What is the remainder when 120 is divided by ((-2)/(-6)*-25)/(y/3)? 20 Suppose -2633*d + 2631*d + 14 = 0, -3*d = 2*i - 463. Let t(f) = -5*f**3 + 3*f + 3. What is the remainder when i is divided by t(-2)? 36 Suppose 5*n - 25 = 0
{ "pile_set_name": "DM Mathematics" }
27/11. Let l = g + 290. Put -1/2, l, -1/7 in descending order. l, -1/7, -1/2 Let u = -130 - -110. Let c = -9 - u. Suppose 0 = -3*o + 2*r - 17, -3*r + 15 - 2 = -2*o. Sort c, 1, o. o, 1, c Let a = -16171 + 16171. Let p be ((-1)/1)/(22/(-12)). Put a, 4, 1, p in descending order. 4, 1, p, a Let o = -606.2 - -606. Put o, 5, 179 in descending order. 179, 5, o Suppose 2*b + 0 - 10 = 0. Suppose 0 = 4*y + 2*k + k + 32, -3*y - 35 = b*k. Sort y, 4, -1, 12. y, -1, 4, 12 Let l = 0.4642 - -0.0358. Sort 0.1, 3, 1/3, l in increasing order. 0.1, 1/3, l, 3 Suppose 2*w = -53 + 49. Sort -3, -55, w in descending order. w, -3, -55 Let n(x) = -x**3 + 6*x**2 + 7*x + 2. Let a be n(7). Let j = 430 + -430. Sort 4, j, a, -2 in decreasing order. 4, a, j, -2 Let y = -39 + 44. Sort -0.4, y, 0.53. -0.4, 0.53, y Let r be 20/12 - (130/15 - -6). Put -5, 0, r in increasing order. r, -5, 0 Let b(o) = o**3 - 10*o**2 - 9*o - 27. Let h be (-7 + 9)*(-11)/(-2). Let n be b(h). Put 5, 3, n in increasing order. n, 3, 5 Let d = 1302 - 1307. Let q = -3 - -3.17. Sort d, q, -4 in increasing order. d, -4, q Let w(y) = -6*y**3 - y**2 - 4*y - 3. Let d be w(-1). Put d, 2, -3, 1 in decreasing order. d, 2, 1, -3 Let s = -217.4 + 217. Let l = 14 + -13.91. Let c = l + 1.91. Put s, c, 4/5 in decreasing order. c, 4/5, s Let p be (1/(-3))/1 + 14/6. Sort -3, 4, p, -5 in decreasing order. 4, p, -3, -5 Suppose 3*b = -6*w + 8*w - 16, 0 = -2*w - 3*b - 8. Put -17, w, 0 in decreasing order. w, 0, -17 Let l(n) = n - 2. Let k be l(6). Let c(g) = -5*g**3 + 3*g**2 - g - 4. Let u be c(k). Let h be 2/11 + u/693. Sort 3, h, -4. -4, h, 3 Suppose 4*k + 4*t = 24, -4 - 11 = -3*t. Let v be (-2 - k) + 0 + 1. Suppose 12 = 3*s + r, 2*s - 4*r + 24 = 6*s. Put s, -4, v in increasing order. -4, v, s Let t(f) = -f**3 + 6*f**2 + 2*f + 3. Let n be t(3). Let x = n - 13. Suppose 5*l = 2*j - 3 + 23, 5*j + l + x = 0. Sort j, 5, 2 in decreasing order. 5, 2, j Suppose 3*a - 12 - 12 = -5*v, -2*v = 3*a - 33. Suppose 2*o - 1 + a = 0. Sort -3, o, -2 in descending order. -2, -3, o Let j(c) = -c**3 - 10*c**2 - 15*c + 8. Let h be j(-8). Let x = h + -35. Sort x, -3, 0 in ascending order. x, -3, 0 Let h = 52.5 - 53. Put -0.1, h, -5 in descending order. -0.1, h, -5 Suppose -2*l - 83 = -g, -3*l + 56 = 2*g - 138. Let j be 4/(-6)*(-39)/g. Sort 4, j, 13 in decreasing order. 13, 4, j Let b = -11.6 - -11.1. Let r = -37/120 + -1/40. Put 19, r, b in decreasing order. 19, r, b Let z = 1.9 - 2. Let f = 9.9 - z. Let d = -7 + f. Sort -1/5, -5, d in decreasing order. d, -1/5, -5 Let s = -0.049 - -0.009. Let q = 2 + -8. Let r = 10 + q. Sort r, -2/3, s in decreasing order. r, s, -2/3 Let v = -0.2031 + 0.2031. Sort -2, -8, v. -8, -2, v Let n = 176.42 - 153.4. Let r = -0.02 + n. Let m = 24 - r. Sort m, 5, -0.05 in decreasing order. 5, m, -0.05 Let w be 264/(-48)*2/22. Let p = -0.8 - 0.2. Put -2, w, p, 0.2 in ascending order. -2, p, w, 0.2 Let p = -57.5837 + -0.0163. Let u = p + 58. Put 2/15, 4, u in ascending order. 2/15, u, 4 Let t be ((-24)/(-63))/(-4)*6/14. Sort -5, 0.6, t in decreasing order. 0.6, t, -5 Let o be 5/7*7 + -174. Put 5, o, -5 in increasing order. o, -5, 5 Let a = 18 + -14. Suppose 25 = 5*i - 4*o, 19 = -a*i - 4*o + 3. Let g = 7 + -13. Sort g, i, -2. g, -2, i Let j be -2*(-3)/2 - (-323)/(-57). Put 2/17, -1/2, j in descending order. 2/17, -1/2, j Let w = -186 + 186.5. Sort w, 0.1, -8, -11 in descending order. w, 0.1, -8, -11 Suppose 0 = 5*h + 15 + 10. Let x = -1376 - -1376. Put x, -2, h, 2 in increasing order. h, -2, x, 2 Let z = 510 + -512. Put z, 8, -8 in ascending order. -8, z, 8 Let y be (8/(-34))/(1 - 3). Let d = -1 - 0.6. Let g = 4.6 + d. Sort 2, y, g. y, 2, g Let x be (-32)/(-28) - (0 + 1). Let b = -260 + 308.7. Let n = b + -49. Sort x, n, -0.7 in ascending order. -0.7, n, x Let r be 1 - (2 + 0 + -2). Suppose 2*y = 58 - 68. Put r, y, -2, -7 in descending order. r, -2, y, -7 Suppose -5*r - 5*d + 230 = 0, -3*d - 36 = -5*r + 186. Let k = 43 - r. Sort -5, 2, k, 3. -5, k, 2, 3 Let v be 16059/318*4/(-2). Put 1, v, -1, -4 in descending order. 1, -1, -4, v Let m = 17 + -15.4. Let a = -6.72 + 1.72. Sort a, -1, m in increasing order. a, -1, m Let f = -531 - -514. Put -1, f, -2, 3 in ascending order. f, -2, -1, 3 Let b(p) = p**3 + p**2. Let c be b(-2). Suppose 3*v - 2*i - i = 24, 2*v - 4*i = 24. Sort 0, v, c in decreasing order. v, 0, c Let g(d) = 26*d + 126. Let h be g(-5). Sort h, 1, -113, 0 in increasing order. -113, h, 0, 1 Suppose -n + 3*x - 32 = 0, 4*n - 3*x + 168 - 67 = 0. Sort n, 2/7, -5 in increasing order. n, -5, 2/7 Let a be -5*(-1)/10*4. Suppose -3*d - 14 = v, -a*d = -d - 4*v - 4. Let f(n) = -n - 5. Let o be f(-9). Put -3, d, o in descending order. o, -3, d Let l(g) be the first derivative of -g**2/2 - 8*g - 4. Let a be l(-7). Let k = -15 - -10. Sort a, k, -1/11 in increasing order. k, a, -1/11 Let q(y) = -185*y - 1 + 192*y - 9 - y**2. Let l be q(6). Put 0, -30, l in descending order. 0, l, -30 Let b = -76 - -131. Let k = 188 + -189. Put k, 2, b in ascending order. k, 2, b Let g be 1 + 0 - 2/1. Let i = 80 - 82. Put i, g, -4 in increasing order. -4, i, g Suppose 7*d = 15*d - 40. Sort d, -5, -20 in increasing order. -20, -5, d Let j = 147.4 + -147.2. Put 13, -0.09, j in decreasing order. 13, j, -0.09 Let q(x) = x**3 - 5*x**2 + 3. Let u be q(5). Suppose -2*l = -11 - u. Let a be (7 + 506/(-77))*(-1)/3. Put a, -4, l in descending order. l, a, -4 Suppose -77*u = -32 + 109. Put -2, u, -4 in decreasing order. u, -2, -4 Let q be -8 + 4 + 9 + -2. Sort q, -4, -2, -5 in ascending order. -5, -4, -2, q Let l = -1640 - -1645. Sort l, 13/5, 3 in increasing order. 13/5, 3, l Let c = -27 - -245/9. Let p be -2 + 2 - 0 - -1. Let x = 1/215 - 653/1720. Sort c, x, p in increasing order. x, c, p Let z = -59 - -43. Let m(k) = k**2 + 15*k - 21. Let t be m(z). Put -2, t, -4 in descending order. -2, -4, t Let l = 57 - 52. Suppose -12 = u - 5*u. Suppose 2 = -u*y + 11. Put l, -1, y in descending order. l, y, -1 Let h(y) = y**2 + 8*y + 5. Let u be h(-9). Suppose -14 = -6*j - u. Put 3, 2, -4, j in descending order. 3, 2, j, -4 Let b be (-72)/192 - 3/(-8). Sort -2, 6, 1, b in increasing order. -2, b, 1, 6 Let a(o) = 6*o**3 - o**2 + o - 1. Let u be a(1). Let b(s) = s**3 + 8*s**2 + 5*s - 14. Let x be b(-7). Let v(p) = -p**2 - 5*p. Let q be v(-4). Sort u, q, x. x, q, u Let b = -66 - -65.952. Let p = 15.952 - b. Put 5, p, -5 in decreasing order. p, 5, -5 Let t = -88.5 + 88. Sort 1/10, -4/3, t in decreasing order. 1/10, t, -4/3 Let o be (-3*1)/(6/(-4)). Let m = 7.8 - 8.8. Put o, m, -0.3 in descending order. o, -0.3, m Let b(u) = -u**2 + 5*u + 3. Let d be b(5). Let n be 1 + (-1 - 4) + d. Suppose 4*z + 6 - 10 = 0. Sort -2, z, n in increasing order. -2, n, z Suppose -2*p - 22 = 38*a - 35*a, -5*p - 41 = 4*a. Put 0, 21, a, 4 in increasing order. a, 0, 4, 21 Let t be (-4)/2 - (3 + -4). Let r be ((-1)/(-2))/(t/28). Let v(j) = -j**3 - 15*j**2 - 14*j + 1. Let s be v(r). Sort 4/5, 2, s in descending order. 2, s, 4/5 Suppose -3 + 9 = 3*t, 0 = 2*l - 3*t + 10. Suppose 0 = 4*y + 11 + 1. Let h be (108/(-27))/(-1 + 2). Sort y, h, l. h, y, l Let c = -85 + 83. Let p be c/15*(-15)/(-18)*2. Sort 16/5, p, 1, 2/5. p, 2/5, 1, 16/5 Let s = 40 - 18. Let a = 13 + -31. Let o = s + a. Sort 1, o, 2 in ascending order. 1, 2, o Let s be (-24)/40*60/18. Suppose -3*n = -5*n. Sort s, 7, n in increasing order. s, n, 7 Let n = 0 - 2. Let z = -0.18 + -4.82. Let a = -6.1 - -6.5. Put z, a, n in descending order. a, n, z Let k = -584.3 + 584. Sort 3, k, -1.6, 4. -1.6, k, 3, 4 Let k = -216 - -220. Put k, 3, 0, 2 in increasing order. 0, 2, 3, k Suppose 0 = -26*j + 30*j + 16. Sort j, -2, 321 in decreasing order. 321, -2, j Let q = -0.02 - -0.32. Let o = -114 + 115. Put 3, q, 1/2, o in decreasing order. 3, o, 1/2, q Let m be (-11 - -8)/((0 - 1)/5). Suppose m = 3*z + 3. Put 0, z, 2 in descending order. z, 2, 0 Suppose u = 3*u. Suppose 0 = 210*i + 32 + 104 + 284. Put i, u, -3, 1 in descending order. 1, u, i, -3 Let f = 108 - 89. Suppose 16*o = f*o + 6. Put 4, 2, o in decreasing order. 4, 2, o Let f = -19/39 + 1/3. Put -11, f, 7 in descending order. 7, f, -11 Let k = -1425 - -1424. Put k, 2, -5, 63 in ascending order. -5, k, 2, 63 Let p = 48 - 65. Let c = p - -15. Sort 0, 5, -3, c in decreasing order. 5, 0, c, -3 Let w(
{ "pile_set_name": "DM Mathematics" }
eger? 40 What is 6965 to the power of 1/3, to the nearest integer? 19 What is 24079 to the power of 1/5, to the nearest integer? 8 What is the square root of 12078 to the nearest integer? 110 What is the square root of 123071 to the nearest integer? 351 What is 14836 to the power of 1/8, to the nearest integer? 3 What is 745 to the power of 1/5, to the nearest integer? 4 What is the square root of 74993 to the nearest integer? 274 What is 275 to the power of 1/7, to the nearest integer? 2 What is the square root of 886 to the nearest integer? 30 What is the tenth root of 6116 to the nearest integer? 2 What is 5309 to the power of 1/3, to the nearest integer? 17 What is the cube root of 3010 to the nearest integer? 14 What is 108548 to the power of 1/2, to the nearest integer? 329 What is the third root of 160 to the nearest integer? 5 What is the square root of 1628 to the nearest integer? 40 What is the cube root of 103373 to the nearest integer? 47 What is 716 to the power of 1/2, to the nearest integer? 27 What is 26931 to the power of 1/2, to the nearest integer? 164 What is 1620 to the power of 1/8, to the nearest integer? 3 What is 6214 to the power of 1/2, to the nearest integer? 79 What is 2309 to the power of 1/7, to the nearest integer? 3 What is the fifth root of 3362 to the nearest integer? 5 What is 814 to the power of 1/6, to the nearest integer? 3 What is the fourth root of 67869 to the nearest integer? 16 What is 60209 to the power of 1/2, to the nearest integer? 245 What is the square root of 1116 to the nearest integer? 33 What is 4309 to the power of 1/8, to the nearest integer? 3 What is the cube root of 1135 to the nearest integer? 10 What is 2262 to the power of 1/3, to the nearest integer? 13 What is 15195 to the power of 1/2, to the nearest integer? 123 What is the third root of 999 to the nearest integer? 10 What is 6730 to the power of 1/9, to the nearest integer? 3 What is 2016 to the power of 1/3, to the nearest integer? 13 What is 1109 to the power of 1/8, to the nearest integer? 2 What is the square root of 945 to the nearest integer? 31 What is 779 to the power of 1/6, to the nearest integer? 3 What is 45837 to the power of 1/10, to the nearest integer? 3 What is 1408 to the power of 1/6, to the nearest integer? 3 What is 6242 to the power of 1/3, to the nearest integer? 18 What is the cube root of 1467 to the nearest integer? 11 What is the tenth root of 43101 to the nearest integer? 3 What is 165 to the power of 1/8, to the nearest integer? 2 What is the eighth root of 2392 to the nearest integer? 3 What is 82399 to the power of 1/2, to the nearest integer? 287 What is the fifth root of 1414 to the nearest integer? 4 What is 616 to the power of 1/2, to the nearest integer? 25 What is the tenth root of 167679 to the nearest integer? 3 What is 1178 to the power of 1/8, to the nearest integer? 2 What is the cube root of 1520 to the nearest integer? 11 What is 2801 to the power of 1/9, to the nearest integer? 2 What is the square root of 3982 to the nearest integer? 63 What is the third root of 13642 to the nearest integer? 24 What is 26664 to the power of 1/9, to the nearest integer? 3 What is the fourth root of 1244 to the nearest integer? 6 What is 144 to the power of 1/3, to the nearest integer? 5 What is 29659 to the power of 1/4, to the nearest integer? 13 What is the third root of 28534 to the nearest integer? 31 What is the square root of 39529 to the nearest integer? 199 What is the square root of 104650 to the nearest integer? 323 What is the fifth root of 47785 to the nearest integer? 9 What is 82305 to the power of 1/2, to the nearest integer? 287 What is 132701 to the power of 1/3, to the nearest integer? 51 What is the sixth root of 150635 to the nearest integer? 7 What is 8475 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 3234 to the nearest integer? 3 What is the third root of 5457 to the nearest integer? 18 What is the third root of 384 to the nearest integer? 7 What is the square root of 3 to the nearest integer? 2 What is the fifth root of 29426 to the nearest integer? 8 What is the third root of 262 to the nearest integer? 6 What is the sixth root of 135122 to the nearest integer? 7 What is the cube root of 8648 to the nearest integer? 21 What is the tenth root of 4294 to the nearest integer? 2 What is 108224 to the power of 1/8, to the nearest integer? 4 What is 622 to the power of 1/2, to the nearest integer? 25 What is 12739 to the power of 1/2, to the nearest integer? 113 What is the seventh root of 7131 to the nearest integer? 4 What is the square root of 55670 to the nearest integer? 236 What is 5552 to the power of 1/3, to the nearest integer? 18 What is 7188 to the power of 1/3, to the nearest integer? 19 What is the cube root of 64612 to the nearest integer? 40 What is 39465 to the power of 1/6, to the nearest integer? 6 What is the seventh root of 13877 to the nearest integer? 4 What is 604 to the power of 1/10, to the nearest integer? 2 What is 2345 to the power of 1/6, to the nearest integer? 4 What is 33 to the power of 1/3, to the nearest integer? 3 What is the square root of 2219 to the nearest integer? 47 What is the square root of 1125 to the nearest integer? 34 What is the third root of 353 to the nearest integer? 7 What is 5409 to the power of 1/9, to the nearest integer? 3 What is the square root of 11993 to the nearest integer? 110 What is 27361 to the power of 1/3, to the nearest integer? 30 What is 152 to the power of 1/3, to the nearest integer? 5 What is 5156 to the power of 1/4, to the nearest integer? 8 What is the third root of 1346 to the nearest integer? 11 What is the sixth root of 15330 to the nearest integer? 5 What is the third root of 7135 to the nearest integer? 19 What is 17777 to the power of 1/3, to the nearest integer? 26 What is the fifth root of 181 to the nearest integer? 3 What is 6395 to the power of 1/9, to the nearest integer? 3 What is 7072 to the power of 1/6, to the nearest integer? 4 What is the cube root of 14257 to the nearest integer? 24 What is the tenth root of 1315 to the nearest integer? 2 What is 1995 to the power of 1/9, to the nearest integer? 2 What is the square root of 166504 to the nearest integer? 408 What is 144273 to the power of 1/8, to the nearest integer? 4 What is the square root of 9368 to the nearest integer? 97 What is the ninth root of 41592 to the nearest integer? 3 What is 5329 to the power of 1/2, to the nearest integer? 73 What is the square root of 1665 to the nearest integer? 41 What is the cube root of 2295 to the nearest integer? 13 What is the third root of 45231 to the nearest integer? 36 What is 180 to the power of 1/2, to the nearest integer? 13 What is the fourth root of 2609 to the nearest integer? 7 What is 48591 to the power of 1/5, to the nearest integer? 9 What is the square root of 749 to the nearest integer? 27 What is the ninth root of 3821 to the nearest integer? 3 What is the third root of 162 to the nearest integer? 5 What is the square root of 254 to the nearest integer? 16 What is 5226 to the power of 1/2, to the nearest integer? 72 What is the square root of 175010 to the nearest integer? 418 What is the square root of 63041 to the nearest integer? 251 What is 70725 to the power of 1/7, to the nearest integer? 5 What is the square root of 1163 to the nearest integer? 34 What is the cube root of 2619 to the nearest integer? 14 What is 112927 to the power of 1/2, to the nearest integer? 336 What is 95 to the power of 1/2, to the nearest integer? 10 What is 741 to the power of 1/3, to the nearest integer? 9 What is the tenth root of 42 to the nearest integer? 1 What is the cube root of 56187 to the nearest integer? 38 What is 1213 to the power of 1/2, to the nearest integer? 35 What is the square root of 12002 to the nearest integer? 110 What is the cube root of 1508 to the nearest integer? 11 What is 6529 to the power of 1/2, to the nearest integer? 81 What is the square root of 862 to the nearest integer? 29 What is the fourth root of 2782 to the nearest integer? 7 What is 16381 to the power of 1/2, to the nearest integer? 128 What is the square root of 9015 to
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
w = -36 - g. Which is the fourth biggest value? (a) 1 (b) -1/3 (c) w (d) -1/7 b Let m be -7 + -2 + 5 + -2. Let x = -1 - m. Let z = 5 - 3. Which is the second biggest value? (a) x (b) z (c) 1 b Let x = -2298 - -6895/3. What is the fourth smallest value in -4/5, 5, 2, x? 5 Let f(c) = -2*c**2 + 32*c - 119. Let q be f(10). What is the third smallest value in q, 29, 1.7? 29 Suppose -56*g + 37 + 355 = 0. What is the smallest value in -5, 3/2, 4, g? -5 Let y = -5 + 16. Suppose -3 = -4*p - y. Let s = 12 + -7. Which is the third smallest value? (a) p (b) s (c) 3 b Let v = 0.529 + 0.061. Let y = 281.91 - 282. Let t = y + v. Which is the second smallest value? (a) 5 (b) 2 (c) t b Let r = 0.21 + -8.21. Let y = -199.2 + 191. Let t = y - r. Which is the third smallest value? (a) t (b) 4 (c) 1/6 b Let l(r) be the second derivative of r**3/3 + 5*r**2/2 + 5*r. Let p be l(-5). Let f = 0.1 + 0.4. Which is the second biggest value? (a) 0.2 (b) p (c) f a Let z be ((-1)/(-8))/(-1*(-5)/(-30)). What is the smallest value in -5, z, 0, 2? -5 Let t = 20915/4 - 4204207/804. Let j = -2/67 - t. Let g = 1.4 + 2.6. Which is the second smallest value? (a) 4/9 (b) g (c) j a Let z = -6 + 4. Let x = -0.414 + 1.414. What is the third biggest value in -1, x, z, -2/9? -1 Let g = -3.97 + 0.97. Let f = -7 + 7. Which is the smallest value? (a) -5 (b) f (c) g a Let u = -6899/12628 - -1/1148. Let l = 145 + -150. Which is the smallest value? (a) u (b) -4 (c) l c Let l = -394.7 + 395. What is the third biggest value in -5, l, -72? -72 Let j = 11/15 - 2/5. What is the second biggest value in j, 153, -0.4? j Let f be -1 - (-2 - (5 + -3)). Let z = 23 - 35. Let v = -12.4 - z. Which is the third smallest value? (a) v (b) f (c) -0.5 b Suppose -2*r + 4*v - 18 = -82, -67 = -2*r + v. Let j = -4749 + 18859/4. Let k = j + r. Which is the biggest value? (a) 0.1 (b) 0.5 (c) k b Let s be 2/7 + ((-1941)/399 - -5). Let y = s - 2/95. Which is the biggest value? (a) -4/7 (b) y (c) 1/4 (d) -4 b Let w = 2 - 2.1. Let m = 109.984 + -110. Let f = -0.044 + m. What is the third biggest value in w, -4, f? -4 Let h = 8/59 + -292/413. Suppose 0 = -2*q - 2*q - 20. What is the second smallest value in 13, q, h? h Let f = 10/130687 + -5500064/146500127. Let m = -4/59 + f. Let t = -0.01 - 2.99. What is the second smallest value in m, -1/8, t? -1/8 Let b = 2.03 - 3.03. What is the biggest value in 9, 2, b? 9 Let g = 73/378 + 5/54. What is the smallest value in 0.3, g, -0.3, 0.4? -0.3 Let o be 1*(140/8)/(-7). Which is the biggest value? (a) -0.3 (b) o (c) 10 c Let g be (-48)/180*(-12)/8. What is the second biggest value in 5, g, -2, 0.11? g Let u = 3917/4 + -978. Let n(h) = -h**2 + 7*h - 3. Let r be n(6). What is the fourth smallest value in -3, 4, u, r? 4 Let d be 15/20 + 4 + (-67)/12. Let q = -0.41 + 0.01. What is the third smallest value in q, -0.6, -1/2, d? -1/2 Let v = 1 - 5. Let f be 4810/(-403) - -12 - 96/527. What is the smallest value in f, 2, v? v Let d = 127.9 - 129.5. Which is the third smallest value? (a) 1 (b) 6 (c) d b Let y = 226 - 223. Which is the second smallest value? (a) -4 (b) -16 (c) y a Let a be 64/(-18)*-3 - 11. What is the biggest value in 1/4, 2, 4, a? 4 Let g be 1 + (8/(-3) - -2). Let a = 5609.05 - 5609. What is the fourth smallest value in a, -4, -3/7, g? g Let d = 0.03 - 0.33. Let m = -1164 - -1169.41. Let h = m + -0.41. Which is the second smallest value? (a) h (b) d (c) -0.5 b Let w = -369 - -360. What is the smallest value in w, 4, 0.1? w Suppose -8 = -0*x + x - 4*p, 17 = x + p. Let q be 0/(8/x*3). Suppose -4*d - 3*n = -11, q = 3*d + 4*n - 0*n - 10. What is the biggest value in 13, d, -3/2? 13 Let n = 845 - 844. What is the biggest value in 3/5, 4, n? 4 Let d = 6196 + -6198. Let z be (-66)/(-14) + (-4)/(-14). Which is the biggest value? (a) z (b) d (c) 2/21 a Let m = -155 + 158. Which is the biggest value? (a) 1 (b) m (c) -13 (d) -0.2 b Suppose 0 = 2*f + 3*f. Let g be 1 + f + 57/(-51). What is the third smallest value in -0.6, g, 0.5? 0.5 Let n = -519 + 125. Let x = n + 4331/11. Which is the smallest value? (a) 2/5 (b) 5 (c) x c Let j = 3.3 + -3. Let w be 7 - -28*18/(-63). What is the third biggest value in 2, w, -1/8, j? -1/8 Let t be 10/(-112) - (-36)/96. Suppose 5*d - 30 = 2*s + s, -3*d + 18 = 5*s. Suppose g = 4*g + d. What is the second smallest value in g, 0, t? 0 Let u = 11.8 - 11.8. Which is the third smallest value? (a) 2 (b) -10 (c) u a Let v = -264 + 261. What is the fourth smallest value in 0.15, 1, -0.4, v? 1 Let p = -74 + 48. Let y = p - -28. Let j = -0.1 + -0.3. Which is the third biggest value? (a) y (b) -5 (c) j b Let h = 61/4 + -16. Let s = 0.04 - -0.01. Let r = s - 0.45. Which is the smallest value? (a) h (b) r (c) 0.3 a Let g = 14 - 13.92. Let h = -1.08 + g. Let w = 0.1 + -0.1. Which is the second biggest value? (a) h (b) w (c) 3 b Let l = -0.8 + 5.6. Let t = 5.2 - l. Which is the third smallest value? (a) -2/3 (b) t (c) -2/7 (d) 2 b Let c = -2.999 - 0.001. What is the third smallest value in -0.5, c, 10/7, -2/5? -2/5 Let g = -30 + 33.4. Let l = 15.6 - 14. Let n = g + l. Which is the second smallest value? (a) n (b) 2 (c) 0.5 b Let a = 129 + 58. Let t = -186 + a. Let f = -0.07 + -0.23. What is the biggest value in 5, f, t? 5 Let n be ((-90)/(-27))/(9/(135/10)). Which is the third biggest value? (a) n (b) 11/2 (c) -0.18 c Let q = 0.02 + 1.28. Let o = q - 4.3. What is the second biggest value in 4, o, 0.13? 0.13 Let k be 15/(-20)*8/(-30). What is the fourth smallest value in 113/2, -1/3, 4, k? 113/2 Let n = 0.71 + 3.29. Which is the smallest value? (a) -6/5 (b) -19 (c) n b Let d = -0.07 + 5.07. Let z = -228.1 - -224.1. What is the third biggest value in z, -6, d? -6 Let k = -18 + 55. What is the smallest value in 0.3, -5, k? -5 Suppose -126*x - 190 - 188 = 0. What is the third smallest value in x, 0.389, 2? 2 Let v = -17431 - -17348.31. Let l = v + 87.9. Let g = -0.21 + l. What is the third smallest value in -0.5, 2/15, g? g Let c = 7.64 + -7.7. What is the smallest value in 2, 1, c? c Let w = 6628 + -33827/5. Suppose 3*g - 539 = -4*s, 10*g - 12*g - 554 = -4*s. Let y = w + s. Which is the third biggest value? (a) y (b) 0 (c) 2 a Let j(i) = 2*i**2 - 26*i - 29. Let y be j(14). Let d be (-12)/52*y/(-9). What is the second smallest value in d, 2/7, -5? d Let h = 241 - 239. Which is the third biggest value? (a) -13 (b) h (c) -4 a Let v = -0.053 - 0.607. Let u = 1.66 + v. What is the fourth biggest value in -0.5, 1/3, -6, u? -6 Let o = -4.6 + 4.66. Let g = 4.96 + -5. Let m = g + 0.14. Which is the second smallest value? (a) o (b) m (c) 1/6 b Let z = 474 - 450.3. Let r = 1.3 + z. Which is the second smallest value? (a) r (b) -1/4 (c) -5 b Let w = 0.24 - -0.06. Let f = 6 + -5.6. Let d = -0.19 + -0.01. What is the third smallest value in f, w, d? f Let o = -2.175 + 1.975. What is the third smallest value in 559, o, -2? 559 Let d = -16.15 + 16. Let x = d - -0.13. Let p = -0.08 + x. What is the third biggest value in p, -2, 1/6? -2 Suppose 0 = -10*r + 8*r - 4. Let v = 1.2 - 1. What is the second biggest value in r, v, 0.4, 18? 0.4 Let d = -37/60 - 1/20. Let h be 1/(386/(-388) + 1). Let k = h + -1355/7. Which is the biggest value? (a) -3 (b) k (c) d b Let a = 40 - -21. Let o = a - 57. What is the second biggest value in o, -0.1, -3, -0.2? -0.1 Let l = 4.1 + 0. Let d = 0.1 - l. Let v = -3 - -2.6. Which is the smallest value? (a) -0.3 (b) v (c) d c Let x(v) = v + 32. Let m be x(0). Let g = 7 - m. Let q be g/9 + (-14)/63. Which is the third biggest value? (a) -5 (b) 0.3 (c) q a Let f(q) = 10*q**2 + 3*q + 6. Let y be f(-2). Let k be 83/(-5) - 16/y. Let i = -53/3 - k. Which is the smallest value? (a) 3 (b) i (c) -1 c Let i be 4*((-14)/35)/2. Let x(z) = 3*z - 6. Let v be x(4). Which is the smallest value? (a) 2 (b) v (c) i c Let m = -4/281 - 3352/1405. Which is the biggest value? (a) 1 (b) -1/8 (c) m a Let j = 121658/7 + -17380. Let d = 0.6 + -0.1. What is the second smallest value in -5, d, 0.2, j? j Suppose 2*i - i = 5. Suppose m + 3 = -i*l - 2, 0 = -3*m - 3*l - 39. Let n be (-5)/(-4) + (m - -14). Which is the third biggest value? (a) -1/8 (b) 0 (c) n a Let m = 3.54
{ "pile_set_name": "DM Mathematics" }
re in 3/8 of a kilometer? 375 Convert 812.9466 decades to years. 8129.466 What is 13/7 of a week in minutes? 18720 What is 4174.541us in milliseconds? 4.174541 How many microseconds are there in 2.905896 weeks? 1757485900800 How many months are there in 77/2 of a century? 46200 Convert 5.145583 micrometers to millimeters. 0.005145583 How many milligrams are there in seventeen quarters of a gram? 4250 What is 18/5 of a gram in milligrams? 3600 What is 392978.439 seconds in weeks? 0.6497659375 How many milliseconds are there in 7/2 of a second? 3500 What is 1/30 of a millennium in months? 400 How many hours are there in seven quarters of a week? 294 How many microseconds are there in 91320.05s? 91320050000 Convert 8252.232 days to microseconds. 712992844800000 Convert 8893.688m to centimeters. 889368.8 What is 15/4 of a kilometer in meters? 3750 What is six fifths of a meter in centimeters? 120 What is 1/5 of a hour in minutes? 12 What is 47.57749 nanograms in kilograms? 0.00000000004757749 How many minutes are there in 2141653.2s? 35694.22 How many millilitres are there in 9044.973l? 9044973 How many kilograms are there in seventeen quarters of a tonne? 4250 How many millennia are there in 0.1442854 decades? 0.001442854 What is 3/25 of a hour in seconds? 432 How many months are there in 3/40 of a century? 90 How many nanometers are there in 3/50 of a micrometer? 60 How many millilitres are there in 3/5 of a litre? 600 What is 3/10 of a milligram in micrograms? 300 What is 48/5 of a century in years? 960 How many months are there in 1/20 of a decade? 6 How many years are there in 11/2 of a millennium? 5500 What is 40388.29g in tonnes? 0.04038829 How many seconds are there in 0.0872923 nanoseconds? 0.0000000000872923 How many meters are there in one quarter of a kilometer? 250 What is 3.701846 kilometers in centimeters? 370184.6 Convert 80.10107l to millilitres. 80101.07 Convert 9418.896m to millimeters. 9418896 How many grams are there in 4168.857ug? 0.004168857 How many micrograms are there in 15/4 of a milligram? 3750 What is one quarter of a millennium in decades? 25 How many centimeters are there in 49/4 of a meter? 1225 What is one tenth of a kilogram in milligrams? 100000 What is 6/5 of a litre in millilitres? 1200 How many micrometers are there in 0.1436085 kilometers? 143608500 Convert 764.956 kilograms to nanograms. 764956000000000 What is 4258.65951ms in weeks? 0.000007041434375 How many litres are there in 566.6165ml? 0.5666165 How many microseconds are there in 5/8 of a millisecond? 625 How many months are there in thirty-four fifths of a millennium? 81600 How many millimeters are there in three eighths of a meter? 375 Convert 5556.946 decades to centuries. 555.6946 How many grams are there in 3/40 of a kilogram? 75 Convert 0.0093814 decades to months. 1.125768 How many grams are there in fourty-seven quarters of a kilogram? 11750 What is 7/4 of a micrometer in nanometers? 1750 What is 4.086795mm in meters? 0.004086795 How many millilitres are there in 21/4 of a litre? 5250 What is 94105.87 tonnes in grams? 94105870000 What is 156.0394 millimeters in micrometers? 156039.4 What is 3/50 of a gram in micrograms? 60000 How many minutes are there in 13/8 of a week? 16380 What is two fifteenths of a millennium in months? 1600 Convert 523.0165km to millimeters. 523016500 What is 25/4 of a centimeter in micrometers? 62500 What is 1/20 of a kilogram in milligrams? 50000 What is 231.09435 months in centuries? 0.192578625 How many months are there in seven thirds of a century? 2800 How many grams are there in 48/5 of a kilogram? 9600 What is 3.70321 litres in millilitres? 3703.21 How many millilitres are there in 97482.85 litres? 97482850 How many months are there in 1/10 of a millennium? 1200 What is seventy-one quarters of a kilometer in meters? 17750 What is fourty-one halves of a millimeter in micrometers? 20500 What is 5/4 of a microsecond in nanoseconds? 1250 How many litres are there in 172.6323ml? 0.1726323 What is 48.4094 years in months? 580.9128 Convert 177349.9 litres to millilitres. 177349900 How many centuries are there in 659631.6 millennia? 6596316 What is 8173.896 millimeters in meters? 8.173896 What is 8/25 of a tonne in kilograms? 320 How many millilitres are there in 15/4 of a litre? 3750 Convert 25.64122 grams to kilograms. 0.02564122 Convert 126516.1 tonnes to nanograms. 126516100000000000000 How many millilitres are there in twenty-seven quarters of a litre? 6750 Convert 1142035.713ns to weeks. 0.0000000018882865625 What is 1/24 of a decade in months? 5 What is 3/40 of a microsecond in nanoseconds? 75 How many tonnes are there in 0.7501478 kilograms? 0.0007501478 How many meters are there in seventeen quarters of a kilometer? 4250 How many centimeters are there in 6670.093 micrometers? 0.6670093 What is 5692.49g in tonnes? 0.00569249 Convert 1397329.2s to hours. 388.147 What is 3/25 of a century in months? 144 How many nanograms are there in 21/4 of a microgram? 5250 What is 0.4354695 millilitres in litres? 0.0004354695 What is 7/8 of a millisecond in microseconds? 875 What is 0.0841745ml in litres? 0.0000841745 What is 3/10 of a millimeter in micrometers? 300 How many millilitres are there in thirty-one fifths of a litre? 6200 Convert 0.1145102ms to seconds. 0.0001145102 What is three fifths of a milligram in micrograms? 600 Convert 0.7646706 minutes to microseconds. 45880236 How many tonnes are there in 4504.671 nanograms? 0.000000000004504671 How many millilitres are there in 6.054204 litres? 6054.204 What is 509.1867 years in decades? 50.91867 How many decades are there in 777.3722 years? 77.73722 Convert 6.702802 kilometers to nanometers. 6702802000000 Convert 97.60457 milliseconds to microseconds. 97604.57 What is 3/40 of a millennium in years? 75 Convert 5719.851 months to decades. 47.665425 Convert 1.743728 litres to millilitres. 1743.728 How many micrograms are there in 164.5732t? 164573200000000 Convert 93.66887 micrograms to tonnes. 0.00000000009366887 What is three fifths of a kilometer in centimeters? 60000 How many centimeters are there in 73/4 of a meter? 1825 What is one tenth of a century in decades? 1 What is seven quarters of a kilometer in meters? 1750 How many centuries are there in 371.552 years? 3.71552 What is 88.03087t in kilograms? 88030.87 How many micrometers are there in one twentieth of a millimeter? 50 How many minutes are there in 17/4 of a day? 6120 Convert 6727.483 litres to millilitres. 6727483 What is fifty-seven fifths of a tonne in kilograms? 11400 How many micrograms are there in fifteen quarters of a milligram? 3750 How many millilitres are there in 1/20 of a litre? 50 Convert 330547.6 milligrams to kilograms. 0.3305476 Convert 6223.28l to millilitres. 6223280 How many grams are there in 41/2 of a kilogram? 20500 How many litres are there in 55974.15ml? 55.97415 How many nanoseconds are there in 12/25 of a microsecond? 480 Convert 26726.42mg to nanograms. 26726420000 How many months are there in eight thirds of a year? 32 How many nanograms are there in 44460.26kg? 44460260000000000 How many nanograms are there in 5/8 of a microgram? 625 How many millilitres are there in sixty-one quarters of a litre? 15250 Convert 45656.01 years to decades. 4565.601 How many nanoseconds are there in 7/2 of a microsecond? 3500 How many millilitres are there in 1/4 of a litre? 250 How many kilograms are there in 7/2 of a tonne? 3500 Convert 0.5815409 centuries to decades. 5.815409 How many millilitres are there in 720296.5 litres? 720296500 What is 21/2 of a meter in centimeters? 1050 Convert 39.30449 litres to millilitres. 39304.49 How many seconds are there in 1/9 of a week? 67200 What is 4/15 of a century in months? 320 How many millennia are there in 7.864767 decades? 0.07864767 What is 0.0678315 meters in micrometers? 67831.5 Convert 2047764.81 hours to weeks. 12189.07625 What is 0.5406728 grams in nanograms? 540672800 What is fourty-nine fifths of a decade in months? 1176 Convert 648391.2 hours to seconds. 2334208320 How many seconds are there in three tenths of a minute? 18 How many hours are there in 1.5981228 minutes? 0.02663538 How many months are there in 10/3 of a year? 40 How many d
{ "pile_set_name": "DM Mathematics" }
4 + 766304*j**3 - 2276736*j**2. 2*j**2*(j - 616)**2*(j - 3) Factor a**5/5 + 12*a**4/5 + 46*a**3/5 + 12*a**2 + 5*a. a*(a + 1)**2*(a + 5)**2/5 Suppose -3*t**4/7 + 15315*t**3/7 - 19584018*t**2/7 + 97629300*t/7 - 117045000/7 = 0. What is t? 2, 3, 2550 Determine k so that -k**2/5 + 1729938*k/5 - 748171370961/5 = 0. 864969 Solve -16*s**4 - 920*s**3 - 13257*s**2 - 6457*s - 800 = 0. -32, -25, -1/4 Factor 3*r**3 - 138*r**2 - 2892*r - 5208. 3*(r - 62)*(r + 2)*(r + 14) Suppose -3*n**5/5 + 108*n**3 - 462*n**2 - 3897*n/5 + 1134 = 0. Calculate n. -15, -2, 1, 7, 9 Suppose -4*f**4 - 14628*f**3 - 116724*f**2 + 160628*f + 262728 = 0. Calculate f. -3649, -9, -1, 2 Factor i**2 + 392*i + 24492. (i + 78)*(i + 314) Factor 3*c**4 + 5541*c**3 - 12*c**2 - 22164*c. 3*c*(c - 2)*(c + 2)*(c + 1847) Factor -5*i**2 + 34080*i + 34085. -5*(i - 6817)*(i + 1) Determine o, given that 15*o**5 + 745*o**4 - 11290*o**3 + 56360*o**2 - 118880*o + 90240 = 0. -188/3, 2, 3, 4 Find b such that 4*b**3 - 1702*b**2/3 - 380*b = 0. -2/3, 0, 285/2 Determine m, given that 3*m**4/4 + 9027*m**3 - 18063*m**2/2 - 45141*m - 108333/4 = 0. -12037, -1, 3 Solve -r**4/3 + 11*r**3 + 81*r**2 - 337*r/3 - 182 = 0 for r. -7, -1, 2, 39 Determine g, given that -36*g**3 + 1864*g**2 + 416*g = 0. -2/9, 0, 52 Determine u, given that 4*u**5 + 388*u**4 + 10500*u**3 + 45900*u**2 - 243000*u = 0. -45, -10, 0, 3 Let -2*i**3/5 - 2922*i**2/5 + 2924*i/5 = 0. What is i? -1462, 0, 1 Factor 2*a**3/9 - 1118*a**2/3 + 469280*a/3 - 1404488/9. 2*(a - 838)**2*(a - 1)/9 Determine h so that -3*h**2 - 124005*h - 1115802 = 0. -41326, -9 Let p**2 - 77*p + 292 = 0. What is p? 4, 73 What is a in 36481*a**3 - 511307*a**2 + 32097*a/4 - 63/2 = 0? 3/382, 14 Find w, given that 2*w**4/5 - 562*w**3/5 - 13382*w**2/5 + 15058*w/5 + 27876/5 = 0. -23, -1, 2, 303 Suppose -25*s**4 + 5355*s**3 - 337070*s**2 + 5136000*s - 1013760 = 0. What is s? 1/5, 22, 96 Suppose 2844*y**4 - 22749*y**3/4 + 5685*y**2/2 + 3*y/4 = 0. Calculate y. -1/3792, 0, 1 Factor 2*r**2/5 + 952*r/5 + 1896/5. 2*(r + 2)*(r + 474)/5 Factor 2*w**2 - 58730*w - 234952. 2*(w - 29369)*(w + 4) Factor 3*b**2 - 1755*b - 65100. 3*(b - 620)*(b + 35) Determine x, given that -3*x**2/5 + 1281*x/5 - 1278/5 = 0. 1, 426 Factor -3*r**3 + 54*r**2 + 243*r - 1134. -3*(r - 21)*(r - 3)*(r + 6) Suppose 201*l**5 + 3612*l**4 + 19188*l**3 + 27966*l**2 + 11811*l - 378 = 0. Calculate l. -9, -7, -1, 2/67 Factor -t**4/6 + 85*t**3/6 + 29*t**2. -t**2*(t - 87)*(t + 2)/6 Factor -k**3/8 - 3*k**2/4 + 235*k/8 - 57/2. -(k - 12)*(k - 1)*(k + 19)/8 Factor -r**2/5 - 3094*r/5 + 150816/5. -(r - 48)*(r + 3142)/5 Factor u**4 + 4910*u**3 + 6017196*u**2 - 24132654*u + 18110547. (u - 3)*(u - 1)*(u + 2457)**2 Determine z so that -2*z**4 - 1604*z**3 + 3230*z**2 + 11264*z + 6432 = 0. -804, -1, 4 What is t in t**5/3 - 5*t**4/3 + 20*t**2/3 - 16*t/3 = 0? -2, 0, 1, 2, 4 What is p in -4*p**3 - 700*p**2 - 2748*p - 2052 = 0? -171, -3, -1 Factor j**4/3 + 587*j**3 + 261631*j**2 + 8453375*j/3 + 4593750. (j + 2)*(j + 9)*(j + 875)**2/3 What is p in 2*p**3 + 3810*p**2 + 37948*p + 90960 = 0? -1895, -6, -4 Suppose -2*n**3 + 13752*n**2 - 82458*n + 123660 = 0. Calculate n. 3, 6870 Find n, given that 4*n**4 - 180*n**3 + 1664*n**2 + 4080*n = 0. -2, 0, 17, 30 Let 4489*s**4/3 + 39262*s**3/3 + 19616*s**2 + 28450*s/3 + 4375/3 = 0. Calculate s. -7, -1, -25/67 Factor 4*r**2 + 2104*r + 138292. 4*(r + 77)*(r + 449) Solve -14*b**4/9 - 682*b**3/9 - 6776*b**2/9 - 4376*b/3 + 480 = 0. -36, -10, -3, 2/7 Factor -2*s**3/3 - 23720*s**2/3 + 15816*s. -2*s*(s - 2)*(s + 11862)/3 Factor v**3/5 - 25*v**2 - 382*v/5 - 256/5. (v - 128)*(v + 1)*(v + 2)/5 Find q, given that -2*q**3/9 + 1606*q**2/3 + 266230*q/3 + 32041294/9 = 0. -79, 2567 Determine k so that -54*k**5 + 991*k**4 + 688*k**3 - 433*k**2 - 76*k = 0. -1, -4/27, 0, 1/2, 19 Factor 3*x**3 + 1437*x**2 - 2886*x. 3*x*(x - 2)*(x + 481) Determine t, given that -3*t**5/4 + 297*t**4/4 + 396*t**3 - 615*t**2 - 936*t = 0. -6, -1, 0, 2, 104 Suppose -2*u**5/15 - 3530*u**4/3 - 58772*u**3/5 - 28204*u**2/3 + 176318*u/15 + 10578 = 0. Calculate u. -8815, -9, -1, 1 Solve -4*f**2 - 828*f - 7880 = 0. -197, -10 Factor -5*a**4 + 865*a**3 - 36060*a**2 - 119680*a + 154880. -5*(a - 88)**2*(a - 1)*(a + 4) Factor -2*g**3/3 + 98*g**2/3 - 32*g. -2*g*(g - 48)*(g - 1)/3 Solve 4*n**2 - 2560*n + 25200 = 0 for n. 10, 630 Let -3*s**3/2 - 21705*s**2/2 - 39269769*s/2 - 39248067/2 = 0. What is s? -3617, -1 Determine x so that -5*x**2 - 85765*x - 85760 = 0. -17152, -1 Determine j so that 2*j**2/17 - 3319956*j/17 + 1377763480242/17 = 0. 829989 Factor -9*a**2 - 573*a - 1110. -3*(a + 2)*(3*a + 185) Factor -r**2 - 122210*r - 122209. -(r + 1)*(r + 122209) Factor -r**2/4 + 115*r/2 + 32571/4. -(r - 329)*(r + 99)/4 Suppose 4*m**3 + 10576*m**2 + 230544*m - 503424 = 0. What is m? -2622, -24, 2 Solve -l**4/4 + 145*l**3/4 - 2141*l**2/4 + 10031*l/4 - 6321/2 = 0 for l. 2, 7, 129 Suppose -2*a**5/3 - 1312*a**4/3 - 220352*a**3/3 - 566784*a**2 - 1119744*a = 0. What is a? -324, -4, 0 Solve 93*l**5/8 - 707*l**4/8 + 357*l**3/8 + 243*l**2/8 + 7*l/4 = 0. -1/3, -2/31, 0, 1, 7 Suppose 2*r**5/3 + 296*r**4/3 - 7970*r**3 + 215900*r**2/3 - 520000*r/3 = 0. Calculate r. -208, 0, 5, 50 Factor 2*l**4/3 - 1804*l**3/3 + 150334*l**2 - 19934200*l/3 + 244205000/3. 2*(l - 425)**2*(l - 26)**2/3 Solve -4*s**4 - 47608*s**3 + 142848*s**2 - 142856*s + 47620 = 0 for s. -11905, 1 Factor -j**2/7 + 1647860*j/7 - 678860644900/7. -(j - 823930)**2/7 Solve 4*g**4 - 3880*g**3 + 956148*g**2 - 7326592*g - 18508880 = 0 for g. -2, 10, 481 Factor w**3/3 + 5762*w**2/3 + 8265481*w/3 - 33339076. (w - 12)*(w + 2887)**2/3 Let -2*l**3/17 + 598*l**2/17 + 32344*l/17 + 62280/17 = 0. What is l? -45, -2, 346 Find w such that 64*w**4/3 + 9424*w**3/3 - 2368*w**2 + 4*w/3 + 592/3 = 0. -148, -1/4, 1/2 Find u such that -169*u**3 - 15470*u**2 - 81792*u - 111456 = 0. -86, -36/13 Find n such that -n**3/4 + 47*n**2/4 - 303*n/4 - 351/4 = 0. -1, 9, 39 Find r, given that -5*r**3/4 + 24135*r**2/2 + 48285*r + 48290 = 0. -2, 9658 Determine d, given that -2*d**4 - 930*d**3 - 10004*d**2 - 7224*d + 18160 = 0. -454, -10, -2, 1 Let -3*n**3/2 - 24*n**2 - 87*n/2 + 195 = 0. Calculate n. -13, -5, 2 Factor -5*m**4 + 35*m**3 + 570*m**2 - 1260*m - 14040. -5*(m - 13)*(m - 6)*(m + 6)**2 Factor a**4 + 2028*a**3 - 20380*a**2. a**2*(a - 10)*(a + 2038) Find s such that -368167805*s**2 - 772290*s - 405 = 0. -9/8581 Factor 2*y**2/3 + 38686*y + 116056/3. 2*(y + 1)*(y + 58028)/3 Factor -4*y**2/5 - 361928*y/5 - 8186992324/5. -4*(y + 45241)**2/5 Factor 2583*f**2 - 93036*f + 1728. 3*(f - 36)*(861*f - 16) Let -14*q**3/5 + 282*q**2/5 + 3152*q/5 = 0. What is q? -8, 0, 197/7 Find v, given that -2*v**3/9 + 7574*v**2/9 + 53096*v/9 + 75880/9 = 0. -5, -2, 3794 Factor d**5/4 + 19*d**4/4 + 28*d**3 + 74*d**2 + 92*d + 44. (d + 2)**4*(d + 11)/4 Solve t**2/3 + 23226*t + 404585307 = 0 for t. -34839 Factor 3*f**2 + 1092*f + 51744. 3*(f + 56)*(f + 308) Let 3*r**5 - 111066*r**4 + 333177*r**3 - 222114*r**2 = 0. Calculate r. 0, 1, 2, 37019 What is m in -2*m**4/5 - 364*m**3/5 - 934*m**2 + 5772*m/5 + 2016 = 0? -168, -15, -1, 2 Factor -r**4 - 553*r**3 - 5463*r**2 - 17955*r - 19548. -(r + 3)**2*(r + 4)*(r + 543) Factor 243*s**3/2 - 777735*s**2/2 - 172848*s - 19206. 3*(s - 3201)*(9*s + 2)**2/2 Let -20*s**5 + 160*s**4 + 10815*s**3 + 10685*s**2 + 2660*s = 0. Calculate s. -19, -1/2, 0, 28 Factor -3*j**2 - 30723*j - 122844. -3*(j + 4)*(j + 10237) Solve 3*n**4/7 + 3813*n**3/7 - 1095*n**2 - 34317*n/7 + 68742/7 = 0. -1273, -3, 2, 3 Factor 2*b**3/11 + 7020*b**2 - 77222*b/11. 2*b*(b - 1)*(b + 38611)/11 Let -4*q**4/5 - 1252*q**3/5 - 8624*q**2/5 - 17168*q/5 - 9792/5 = 0. Calculate q. -306, -4, -2, -1 Find p, given that 2*p**3/7 + 124*p**2/7 + 32*p - 960/7 = 0. -60, -4, 2 Factor 3*q**3/8 + 99*q**2 + 27549*q/8 + 3345. 3*(q + 1)*(q + 40)*(q + 223)/8 Factor 2*c**2/13 - 20224*c/13 + 80864/13. 2*(c - 10108)*(c - 4)/13 Suppose 10*w**3 - 886*w**2 - 24776*w - 9768 = 0. Calculate w. -22, -2/5, 111 Let -45*p**3 + 341200*p**2 - 416965*p + 75810 = 0. What is p? 2/9, 1, 7581 Factor -2*c**2/9 - 15004*c/3 + 45014/9. -2*(c - 1)*(c + 22507)/9 Determine d so that -4*d**3 + 42888*d**2 + 128692*d + 85800 = 0. -2, -1, 10725 Let 3*d**2 + 9*d - 18012 = 0. Calculate d. -79, 76 Let -4*t**2 - 896*t - 10972 = 0. What is t? -211, -13
{ "pile_set_name": "DM Mathematics" }
63, -7573924, -11360885, -15147846, -18934807, -22721768? -3786961*s - 2 What is the b'th term of -38875, -38920, -38965, -39010, -39055? -45*b - 38830 What is the i'th term of 31601, 125509, 282029, 501167, 782929? i**3 + 31300*i**2 + i + 299 What is the s'th term of -506174350, -506174344, -506174334, -506174320, -506174302? 2*s**2 - 506174352 What is the l'th term of 15460, 62116, 139964, 249004? 15596*l**2 - 132*l - 4 What is the n'th term of -8990, -18007, -27060, -36161, -45322, -54555? -2*n**3 - 6*n**2 - 8985*n + 3 What is the u'th term of 5123011, 10246025, 15369039? 5123014*u - 3 What is the g'th term of 6301, 6382, 6575, 6928, 7489, 8306, 9427, 10900? 8*g**3 + 8*g**2 + g + 6284 What is the x'th term of -19091, -77702, -175387, -312146? -19537*x**2 + 446 What is the h'th term of 7494444, 7494428, 7494412, 7494396? -16*h + 7494460 What is the l'th term of 6826, 6855, 6866, 6853, 6810, 6731? -l**3 - 3*l**2 + 45*l + 6785 What is the k'th term of 4144, 14872, 43986, 100678, 194140, 333564? 1532*k**3 + k**2 + k + 2610 What is the z'th term of -39, 2303, 4643, 6981, 9317, 11651, 13983? -z**2 + 2345*z - 2383 What is the s'th term of 35275, 70657, 106153, 141763? 57*s**2 + 35211*s + 7 What is the l'th term of 8100, 30551, 91486, 210147, 405776, 697615, 1104906? 3207*l**3 + 2*l + 4891 What is the l'th term of -120516616, -241033230, -361549844, -482066458, -602583072? -120516614*l - 2 What is the t'th term of 10680, 20382, 28114, 32892, 33732, 29650, 19662? -164*t**3 - t**2 + 10853*t - 8 What is the a'th term of 227, 1875, 6295, 14873, 28995? 231*a**3 + 31*a - 35 What is the t'th term of 4688, 16958, 50012, 114242, 220040, 377798? 1732*t**3 + 146*t + 2810 What is the z'th term of 68984, 69231, 69428, 69551, 69576, 69479, 69236? -4*z**3 - z**2 + 278*z + 68711 What is the b'th term of 2392947, 4785870, 7178793, 9571716, 11964639? 2392923*b + 24 What is the v'th term of -43148284, -43148286, -43148288, -43148290? -2*v - 43148282 What is the g'th term of 1963, 7241, 15947, 28081, 43643, 62633, 85051? 1714*g**2 + 136*g + 113 What is the u'th term of -88, -49, 14, 101, 212, 347, 506? 12*u**2 + 3*u - 103 What is the l'th term of -185, 371, 1317, 2653? 195*l**2 - 29*l - 351 What is the q'th term of 26797584, 26797583, 26797582? -q + 26797585 What is the k'th term of 7699100, 30796404, 69291908, 123185612, 192477516? 7699100*k**2 + 4*k - 4 What is the q'th term of -20906964, -41813926, -62720888, -83627850, -104534812, -125441774? -20906962*q - 2 What is the h'th term of -39889, -43538, -53441, -72724, -104513, -151934, -218113, -306176? -521*h**3 - h**2 + h - 39368 What is the t'th term of -1346, -6113, -14298, -25901, -40922? -1709*t**2 + 360*t + 3 What is the v'th term of -114, -522, -1200, -2148, -3366, -4854? -135*v**2 - 3*v + 24 What is the y'th term of 11373, 11146, 10915, 10680, 10441, 10198? -2*y**2 - 221*y + 11596 What is the m'th term of -10516, -9504, 3044, 27134, 62772? m**3 + 5762*m**2 - 16281*m + 2 What is the v'th term of 274, 1043, 2342, 4183, 6578, 9539, 13078? 2*v**3 + 253*v**2 - 4*v + 23 What is the l'th term of -3561, -5395, -10403, -20181, -36325? -266*l**3 + 9*l**2 + l - 3305 What is the r'th term of -6232, -4307, -1098, 3395, 9172, 16233? 642*r**2 - r - 6873 What is the x'th term of 130202, 521451, 1173744, 2087081, 3261462? 130522*x**2 - 317*x - 3 What is the y'th term of -30726, -32043, -34238, -37311? -439*y**2 - 30287 What is the r'th term of 1693, 16275, 40579, 74605, 118353, 171823? 4861*r**2 - r - 3167 What is the m'th term of -17592844, -35185635, -52778426, -70371217? -17592791*m - 53 What is the m'th term of 1914, 1635, 1152, 447, -498, -1701, -3180, -4953? -3*m**3 - 84*m**2 - 6*m + 2007 What is the l'th term of -167551, -167800, -168049, -168298, -168547, -168796? -249*l - 167302 What is the n'th term of -341801, -341892, -342045, -342260, -342537, -342876, -343277? -31*n**2 + 2*n - 341772 What is the s'th term of -19675, -32619, -45563, -58507, -71451, -84395? -12944*s - 6731 What is the o'th term of 502175, 501951, 501569, 501023, 500307, 499415? -o**3 - 73*o**2 + 2*o + 502247 What is the g'th term of 354159, 708299, 1062423, 1416531? -8*g**2 + 354164*g + 3 What is the p'th term of -4042, -16357, -36862, -65539, -102370, -147337, -200422? 3*p**3 - 4113*p**2 + 3*p + 65 What is the y'th term of -2812714, -5625423, -8438132? -2812709*y - 5 What is the f'th term of 1517475, 1517483, 1517491, 1517499, 1517507, 1517515? 8*f + 1517467 What is the q'th term of -298, -1234, -2730, -4708, -7090, -9798, -12754? 13*q**3 - 358*q**2 + 47*q What is the q'th term of -1030168, -1030163, -1030160, -1030159, -1030160? -q**2 + 8*q - 1030175 What is the d'th term of 263790, 263819, 263864, 263919, 263978, 264035? -d**3 + 14*d**2 - 6*d + 263783 What is the t'th term of -10440, -20434, -30388, -40302, -50176, -60010, -69804? 20*t**2 - 10054*t - 406 What is the b'th term of -7713, -10373, -14807, -21015? -887*b**2 + b - 6827 What is the y'th term of 7170, 14320, 21482, 28698, 36010? 7*y**3 - 36*y**2 + 7209*y - 10 What is the r'th term of -23286813, -23286807, -23286801, -23286795, -23286789, -23286783? 6*r - 23286819 What is the r'th term of 243163, 971423, 2185191, 3884467, 6069251, 8739543? 242754*r**2 - 2*r + 411 What is the v'th term of 95119045, 95119046, 95119047, 95119048, 95119049, 95119050? v + 95119044 What is the y'th term of 10741791, 21483576, 32225361, 42967146, 53708931, 64450716? 10741785*y + 6 What is the r'th term of -88882, -180658, -272434, -364210? -91776*r + 2894 What is the o'th term of -433, -957, -1577, -2341, -3297, -4493? -8*o**3 - 468*o + 43 What is the z'th term of 449274, 898389, 1347504, 1796619? 449115*z + 159 What is the t'th term of 245036, 245155, 245354, 245633, 245992, 246431, 246950? 40*t**2 - t + 244997 What is the y'th term of -131896, -131920, -131972, -132052, -132160, -132296, -132460? -14*y**2 + 18*y - 131900 What is the h'th term of 100697, 93029, 85361, 77693, 70025, 62357? -7668*h + 108365 What is the a'th term of -64567, -129958, -195349, -260740, -326131? -65391*a + 824 What is the c'th term of -43977, -175844, -395599, -703242, -1098773, -1582192? -43944*c**2 - 35*c + 2 What is the p'th term of -39919, -39648, -38919, -37504, -35175, -31704, -26863? 38*p**3 + p**2 + 2*p - 39960 What is the i'th term of 141116, 282271, 423422, 564569? -2*i**2 + 141161*i - 43 What is the f'th term of 5183417, 5183409, 5183407, 5183411, 5183421, 5183437? 3*f**2 - 17*f + 5183431 What is the q'th term of -11340, -8361, -5382, -2403, 576, 3555? 2979*q - 14319 What is the k'th term of 15402, 15417, 15418, 15405, 15378, 15337, 15282? -7*k**2 + 36*k + 15373 What is the c'th term of 97131, 97065, 96963, 96807, 96579, 96261, 95835? -3*c**3 - 45*c + 97179 What is the l'th term of -26250548, -26250546, -26250544? 2*l - 26250550 What is the x'th term of 1534233, 1534219, 1534205, 1534191, 1534177, 1534163? -14*x + 1534247 What is the b'th term of 222058, 444105, 666132, 888145, 1110150? b**3 - 16*b**2 + 222088*b - 15 What is the x'th term of 16403758, 16403755, 16403752, 16403749, 16403746? -3*x + 16403761 What is the j'th term of -1008, -8191, -27774, -65985, -129052, -223203, -354666, -529669? -1038*j**3 + 28*j**2 - j + 3 What is the f'th term of -2758069, -5516077, -8274085, -11032093, -13790101? -2758008*f - 61 What is the n'th term of -87815331, -87815323, -87815315, -87815307, -87815299? 8*n - 87815339 What is the g'th term of 216077, 1728632, 5834135, 13829060, 27009881, 46673072, 74115107, 110632460? 216079*g**3 + 2*g - 4 What is the d'th term of -64029, -127677, -191325? -63648*d - 381 What is the m'th term of -4488, -4477, -4482, -4509, -4564? -m**3 - 2*m**2 + 24*m - 4509 What is the w'th term of -1041, 1019, 6619, 17529, 35519? 295*w**3 - 5*w - 1331 What is the o'th term of -266460, -2132887, -7199246, -17065503, -33331624, -57597575, -91463322? -266661*o**3 + 200*o + 1 What is the o'th term of -1366, -10949, -36962, -87613, -171110, -295661, -469474? -1368*o**3 - 7*o**2 + 14*o - 5 What is the s'th term of -176463007, -176463009, -176463011? -2*s - 176463005 What is the x'th term of 131919, 264327, 396735, 529143? 132408*x - 489 What is the v'th term of 3393925, 6787850, 10181775, 13575700, 16969625? 3393
{ "pile_set_name": "DM Mathematics" }
= 0. -2, -1 Let b be 2/((-2)/3) - -5. Let l(c) be the second derivative of 0 - 2*c - 2/9*c**b - 1/9*c**3 - 1/54*c**4. Factor l(i). -2*(i + 1)*(i + 2)/9 Let q = 1 - 1. Suppose 5*j = -q*j + 4*r + 12, 0 = -3*j + 3*r + 9. Factor 2/5*p - 2/5*p**2 + j. -2*p*(p - 1)/5 Let g = 884/3143 - -2/449. Find u such that -2/7*u**3 + 2/7*u**2 + 0 - g*u**4 + 2/7*u = 0. -1, 0, 1 Let n = -77/2 - -389/10. Suppose n*q + 2/5*q**3 - 4/5*q**2 + 0 = 0. What is q? 0, 1 Let o = -60 + 181/3. Factor 1/3*a**4 - 1/3*a**3 + 0*a + 1/3*a**5 - o*a**2 + 0. a**2*(a - 1)*(a + 1)**2/3 Factor 3/2 + 3/4*d - 45/4*d**2. -3*(3*d + 1)*(5*d - 2)/4 Let a(w) be the second derivative of -w**8/10080 + w**7/945 - w**6/360 - w**4/3 + 3*w. Let i(h) be the third derivative of a(h). Let i(s) = 0. Calculate s. 0, 1, 3 Let w(n) = -8*n - 69. Let z be w(-9). Factor -4/5*q**z + 0 - 16/5*q - 16/5*q**2. -4*q*(q + 2)**2/5 Suppose -5*t + 2 + 3 = 0. Find n such that t + 49/4*n**2 - 7*n = 0. 2/7 Let t(i) be the first derivative of 2*i**6/3 - 5*i**4 + 8*i**2 - 25. Let t(r) = 0. Calculate r. -2, -1, 0, 1, 2 Let a(m) be the first derivative of -m**6/540 + m**5/180 - m**3 - 1. Let w(h) be the third derivative of a(h). Solve w(k) = 0 for k. 0, 1 Let c(d) be the second derivative of -d**5/240 + d**4/32 - d**3/12 - 2*d**2 - 5*d. Let t(y) be the first derivative of c(y). Find i, given that t(i) = 0. 1, 2 Let b(x) be the second derivative of x**5/20 - x**4/3 - x**3/6 + 2*x**2 + 4*x. Factor b(y). (y - 4)*(y - 1)*(y + 1) Let d(x) be the second derivative of -x**7/126 - 2*x**6/45 + x**5/12 + 16*x. Factor d(n). -n**3*(n - 1)*(n + 5)/3 Suppose -3/5*j**2 + 0*j**3 + 1/5*j**4 + 0 + 2/5*j = 0. Calculate j. -2, 0, 1 Let k be (-1)/(-2) - (546/(-12))/13. Let b = 20851/600 - 17/200. Determine n, given that 154/3*n**3 - b*n - 44*n**2 - 16/3 + 98/3*n**k = 0. -2, -2/7, 1 Suppose 1/7*p**4 - 1/7*p**3 + 4/7*p - 4/7*p**2 + 0 = 0. What is p? -2, 0, 1, 2 Let i = 0 - 6. Let h(a) = -a**3 - 7*a**2 - 8*a - 9. Let w be h(i). Find m, given that 0*m - 2/3*m**2 + 1/3*m**4 + 0*m**w + 1/3 = 0. -1, 1 Let d(m) be the third derivative of -2/27*m**3 + 0*m - 11/270*m**5 + 0 + 13/108*m**4 - 4*m**2. Factor d(v). -2*(v - 1)*(11*v - 2)/9 Let o(f) be the second derivative of 2*f + 0*f**3 + 0*f**4 + 0*f**2 + 1/20*f**5 + 0 - 1/30*f**6. Factor o(h). -h**3*(h - 1) Let n be (1*(-4 + 5))/1. Factor -1/2*g + 3/2*g**3 - n + 2*g**2. (g + 1)**2*(3*g - 2)/2 Let v(u) be the first derivative of 2*u**6/3 + 4*u**5/5 - 2*u**4 - 8*u**3/3 + 2*u**2 + 4*u - 2. What is j in v(j) = 0? -1, 1 Let a = 67/30 + -26/15. Solve a*d - 1/2*d**3 + 1/2*d**2 - 1/2 = 0 for d. -1, 1 Let v be 0 - (-12 - 0)*2. Suppose -v = -4*c + 2*n, 4*c = c - 5*n - 8. Determine d, given that -1/2*d**5 + 0*d**2 - 1/2*d + d**3 + 0*d**c + 0 = 0. -1, 0, 1 Let r(o) = -3*o + 7. Let n(g) = 2*g - 3. Let u(t) = 7*n(t) + 3*r(t). Let x be u(1). Factor 0*p**2 - x*p**5 + 0 - 4/5*p**3 - 4*p**4 + 0*p. -p**3*(5*p + 2)**2/5 Let g(u) be the second derivative of -u**4/54 + 4*u**3/27 - u**2/3 + 6*u. Factor g(h). -2*(h - 3)*(h - 1)/9 Let o(q) be the second derivative of 1/6*q**3 + 1/120*q**6 + 1/16*q**5 + 0*q**2 + 0 - 2*q + 1/6*q**4. Factor o(z). z*(z + 1)*(z + 2)**2/4 Suppose -2*g - 3*g + 2*s = 0, -3 = g - s. Let 2*a + 2*a**g - 6 - 2*a**3 - 2 + 6 = 0. What is a? -1, 1 Factor -w**5 - 3*w**3 + 3*w**3 + w**3. -w**3*(w - 1)*(w + 1) Suppose -5*i - 3*n + 0 - 15 = 0, 0 = 3*i - 2*n - 10. Let k = i - 0. Factor k - 1 + 4 + 0 - 3*j**2. -3*(j - 1)*(j + 1) Let x(z) = -z + 1. Let m(a) = -4*a**2 - 2*a - 18. Let w(p) = -m(p) - 10*x(p). Find n, given that w(n) = 0. -2, -1 Let b(x) be the first derivative of x**6/2 + 3*x**5/5 - 3*x**4/2 - 2*x**3 + 3*x**2/2 + 3*x - 12. Find v, given that b(v) = 0. -1, 1 Let x(o) be the third derivative of 0 - 1/60*o**6 + o**2 + 1/30*o**5 + 1/12*o**4 + 0*o - 1/3*o**3. Factor x(c). -2*(c - 1)**2*(c + 1) Let i(m) be the first derivative of -m**4/36 - 2*m**3/9 - 2*m**2/3 + 3*m + 3. Let v(s) be the first derivative of i(s). Suppose v(k) = 0. What is k? -2 Suppose -2*o - 3 = -3*o. Let c = 2/5 - 0. Factor 0 + 2/5*h + 4/5*h**2 + c*h**o. 2*h*(h + 1)**2/5 Let f = -7 - -9. Let i = 5 - f. Solve 4/7*c**5 + 0 + 6/7*c**4 + 0*c + 0*c**i - 2/7*c**2 = 0 for c. -1, 0, 1/2 Let j = 17280/7 + -2464. Solve 16/7*n**3 - 38/7*n**2 + 16/7*n - 2/7 + 40/7*n**4 - j*n**5 = 0 for n. -1, 1/4, 1/2, 1 Let m(v) be the first derivative of 0*v + 4 - 2*v**2 - 10/3*v**3 + 2/5*v**5 - 3/2*v**4 + 1/3*v**6. Determine b, given that m(b) = 0. -1, 0, 2 Let a(z) = z**2 - 1. Let q be a(1). Suppose q = -3*c - 2*r + 4, 0 = 3*c - 0*c + r - 8. Factor -2*t**5 - 2 + 6*t**c - 6*t**3 + 2 + 2*t**2. -2*t**2*(t - 1)**3 Let u(b) be the third derivative of -3*b**7/350 - b**6/20 - 7*b**5/75 - b**4/15 + 8*b**2. Factor u(n). -n*(n + 2)*(3*n + 2)**2/5 Suppose 3*n - y - 11 = 0, 3*n + y - 3*y = 10. Let o(k) be the second derivative of 2/3*k**3 + k**2 + 1/6*k**n + 2*k + 0. Let o(m) = 0. What is m? -1 Let i(c) be the second derivative of -c**6/60 + c**4/24 + 44*c + 2. Factor i(b). -b**2*(b - 1)*(b + 1)/2 Suppose -3*j + 10 = -2*o, 4*o + 3 + 3 = -j. Let q(y) be the first derivative of -1/9*y**j + 1/18*y**4 + 2/27*y**3 - 4 - 2/45*y**5 + 0*y. Factor q(d). -2*d*(d - 1)**2*(d + 1)/9 Let h(u) = -4*u**2 + 2*u + 5. Let d(l) = -21 - 11*l + 4*l + 0*l**2 + 2 + 15*l**2. Let n(m) = 6*d(m) + 22*h(m). Let n(w) = 0. What is w? -2, 1 Let z(w) be the third derivative of -w**8/10080 - w**7/630 - w**6/120 - w**5/30 - 8*w**2. Let v(c) be the third derivative of z(c). Factor v(p). -2*(p + 1)*(p + 3) Suppose -j = 3*j + 120. Let p be j/(-12)*(-12)/(-10). Factor -h**3 + 2*h**p + h**3 - 6*h**2 + 6*h - 2. 2*(h - 1)**3 Let y(h) be the first derivative of h**4/96 - h**3/24 + h**2/16 - 4*h - 5. Let l(o) be the first derivative of y(o). Factor l(t). (t - 1)**2/8 Let n(d) be the second derivative of d**6/150 - d**4/60 - 10*d. Determine i, given that n(i) = 0. -1, 0, 1 Let f(q) = -q**3 + 2*q**2 + 4. Let k be f(0). Suppose -8/7*y**3 + 0 + 2/7*y**k - 4/7*y + 10/7*y**2 = 0. Calculate y. 0, 1, 2 Let z(i) be the second derivative of 0 + 1/60*i**4 - 3*i + 1/5*i**2 - 1/10*i**3. Factor z(y). (y - 2)*(y - 1)/5 Factor -3*d**2 - 17*d**3 - 9*d + 54*d**3 - 28*d**3 + 3*d**4. 3*d*(d - 1)*(d + 1)*(d + 3) Let w(v) be the first derivative of -5*v**6/6 + 2*v**5 - 10*v**3/3 + 5*v**2/2 + 15. Factor w(f). -5*f*(f - 1)**3*(f + 1) Suppose 4*k + 4*f + 8 = 0, 3*f = -4*k + 6*f + 20. Solve -14/3*d**3 + 0 - 8/3*d**4 + 2/3*d - 4/3*d**k = 0. -1, 0, 1/4 Suppose 3 = -b + 36. Let t be b/45 - (-3)/(-9). Factor 0*i**2 + 2/5*i**3 + 0 - t*i. 2*i*(i - 1)*(i + 1)/5 Let i(b) = -7*b - 3*b**2 + 6*b - 2 + 0*b**2. Let q(a) be the second derivative of a**4/3 + a**3/3 + 3*a**2/2 - 2*a. Let v(z) = -3*i(z) - 2*q(z). Factor v(k). k*(k - 1) Factor -2/15*x**2 - 2/5*x**3 + 0 + 2/5*x + 2/15*x**4. 2*x*(x - 3)*(x - 1)*(x + 1)/15 Suppose 3*u = -2*m, 2*u - 2 = -m - 1. Suppose 0*l = -l + u. Suppose -4/5*p**5 + 0 + 0*p**l - 2/5*p**4 + 2/5*p**3 + 0*p = 0. Calculate p. -1, 0, 1/2 Let p = 16/9 - 10/9. Let i(h) be the first derivative of h**3 + 0*h - 3/5*h**5 + 5/4*h**4 - 1/2*h**2 - 2 - p*h**6. Solve i(k) = 0. -1, 0, 1/4, 1 Suppose 3/5*y - 3/5*y**2 + 0 = 0. Calculate y. 0, 1 Let c be -1*((0 - 3) + 154/55). Factor 1/5*a**4 + 1/10*a**5 - c - 4/5*a**2 - 1/5*a**3 - 7/10*a. (a - 2)*(a + 1)**4/10 Let r(q) = -q**5 - q**4 - q**2 + 1. Let z(k) = -6*k**5 - 7*k**4 + k**3 - k**2 + 3. Let f(g) = 6*r(g) - 2*z(g). Factor f(x). 2*x**2*(x + 1)**2*(3*x - 2) Let u(n) be the second derivative of 0 - 1/12*n**4 + 0*n**2 - 1/20*n**5 + 0*n**3 + 3*n. Factor u(c). -c**2*(c + 1) Factor 0*j**3 + j**3 + j**2 - 9*j**4 + 8*j**4 - j. -j*(j - 1)**2*(j + 1) Let n(h) be the first derivative of 2/33*h**3 + 0*h - 2/11*h**2 + 7 + 1/22*h**4. Solve n(v) = 0 for v. -2, 0, 1 Suppose -103*b = -104*b + 2. Solve -11/3*f**b + 19/3*f**3 + 2/3*f + 0 + f**5 - 13/3*f**4 = 0. 0, 1/3, 1, 2 Let f(r) be the second derivative of -r**5/120 + r**4/36 - r**3/36 - 10*r. Suppose f(l) = 0. What is l? 0, 1 Let 0*z**3 + 0*z + 2 - 5/2*z**2 + 1/2*z**4 = 0. What is z? -2, -1, 1, 2 Let z(o) be the second derivative of o**7/1680 - o**6/180 + o**5/48 - o**4/24 - 7*o**3/6 + 8*o. Let f(b) be the second derivative of z(b). Factor f(c). (c - 2)*(c - 1)**2/2 Let a(j) be the first derivative of j**6/45 - j**4/18 + 2*j + 3. Let o(k) be the first derivat
{ "pile_set_name": "DM Mathematics" }
**1*(((w*w*w*w*w**13*w)/w)/w)/w)/(((w**(-12)/w)/w)/(w/(w*w**(-7)))) assuming w is positive. w**37 Simplify (w**(3/5)/w**(-15/2))**(-3/4) assuming w is positive. w**(-243/40) Simplify (((q*(q**7/q)/q*q)/(q/((q/(q/q**(-3/10))*q)/q)*q))**(2/35))**(1/49) assuming q is positive. q**(47/8575) Simplify (((s*s**(-5))/s*s*s)/s*s/s**12)/(s**(-1/2)/s**1) assuming s is positive. s**(-27/2) Simplify (b/b**(-3/2))/b**(-3/2)*b/((b*b/b**(-1/7))/b*b)*b**(-2/7) assuming b is positive. b**(18/7) Simplify (z/z**(7/2))**(1/24)/(z/z**22*(z*z*z*z**(-8/9)*z)/z) assuming z is positive. z**(2705/144) Simplify ((q*q**10*q*q)/(q/((q*(((q*q/q**(-2/5))/q)/q)/q*q*q)/q)*q))/((q/(q*q**(1/12)))/((q**(-2/13)*q)/q)) assuming q is positive. q**(9617/780) Simplify (((s**(-2/5))**(2/135))**13)**0 assuming s is positive. 1 Simplify k**(-1/13)/k**(-8/3)*k/(k*k**(-3/8))*k*k*((k/k**(-1/3))/k)/k assuming k is positive. k**(447/104) Simplify (((s/(((s**23/s)/s)/s))/s)/(s/(s/(((s**(-24)/s)/s)/s*s))*s))/(s**(4/5))**(-2/19) assuming s is positive. s**(483/95) Simplify (h**4)**(-10)*((h**(2/5)*h)/h)**(-2/49) assuming h is positive. h**(-9804/245) Simplify ((j*j**(-1/50)*j)/(j**(-10)*j))**(-1/45) assuming j is positive. j**(-61/250) Simplify (h/(h/h**(3/7))*h**(-10))/(h/((h/(h/h**(-25)))/h)*h**(-1/8)) assuming h is positive. h**(-2041/56) Simplify ((s**(3/11))**(-3/14))**(-31) assuming s is positive. s**(279/154) Simplify (z**4*z)**(-1/22)/(z**(4/17))**(-2/21) assuming z is positive. z**(-1609/7854) Simplify (c**(-2/27)*c**(-7/2))/((c*c/(c*c**(-9)*c)*c)/(c/c**(-8/5))) assuming c is positive. c**(-2963/270) Simplify (h/((h/h**(-4))/h))**(2/61)*(h/(h*h*h**(-13)*h))/h*h/(h*h/h**(-4)*h) assuming h is positive. h**(238/61) Simplify (s/(s**14/s)*s/s**(12/5)*s)/(s**(2/13)/(s*s**(-2/15))) assuming s is positive. s**(-2279/195) Simplify (q*q**(-1/4)*q)/q**(5/4)*q*q/(q/(q/q**(1/22))*q)*q**(2/19) assuming q is positive. q**(326/209) Simplify a**(-10)*a**(-8/3)/a*(a/(a*a*a/a**2))**46 assuming a is positive. a**(-41/3) Simplify m/(m**(-7/9)*m)*m**(2/11)*m*m*m**12*m*m*m/((m/m**(1/37))/m) assuming m is positive. m**(65885/3663) Simplify z*z/z**(6/11)*z*z/(z/z**11)*z/(z*z**(-14)/z)*z**(-2) assuming z is positive. z**(291/11) Simplify ((f/(f**(6/5)/f))/f*((f*f/(((f/((f*f*f**(-6/7)*f)/f))/f)/f))/f)/f)/((f/(f/(f/(f/f**(3/11)))*f))/((f**(-1/11)/f)/f)) assuming f is positive. f**(223/385) Simplify (((n/(n*n**(-1)))/n)**(2/13)/((n/((n/(n**(-1/4)*n))/n))/((n*n**(-1/4)*n*n)/n)))**(-26) assuming n is positive. 1 Simplify (r**3)**(-24)/(r/(r*(r*r**(-3))/r)*r*r*(r*r*r*(r**10*r)/r*r)/r) assuming r is positive. r**(-90) Simplify (w**25*w)**(-20)*(w/((w*w*w*(w/(w*w**(-1/5)))/w*w)/w*w*w))/w*w**(-1/4) assuming w is positive. w**(-10489/20) Simplify (p/(p/(p/(p*p/p**16))))**(-4/23)/((p/((p**(-1/12)*p)/p*p))/p**(-3/2)) assuming p is positive. p**(-1157/276) Simplify (((t/t**2)/t)/t*t/(t/t**(-6))*(t*t**(-3/7)*t)/t**(-1/13))**(5/7) assuming t is positive. t**(-3345/637) Simplify l**(-1/12)*l/(l/((l/(l**(-2)*l*l))/l))*l*l*l*((l**(1/4)*l)/l)/(((l/((l*l*l/(l*l/(l/l**(10/9))*l))/l))/l)/l*l) assuming l is positive. l**(37/18) Simplify (t/t**2*t)**(-14)*(t/(t**(-7)*t))/t**(-10) assuming t is positive. t**17 Simplify (u*u**0/u)**10*u/(u/(u**(-4/3)/u))*u*(u**7/u)/u assuming u is positive. u**(11/3) Simplify ((w*w**(1/8))/w**(-2))/((w**(-7)*w*w)/(w**(-10)*w)) assuming w is positive. w**(-7/8) Simplify ((q**6/q*(q**(-1/13)*q)/q*q)/(q**(2/5))**43)**(-17) assuming q is positive. q**(12461/65) Simplify (w*w**(-12))/w*(w/((w/(w/(w*w**(-24)*w)))/w))/w*(w**(-2/37))**(-8) assuming w is positive. w**(423/37) Simplify ((p*p/((p/((p*(p*(p/p**(3/4))/p*p*p)/p)/p))/p)*(p*p/p**2)/p)/(p**(-8)/p**(2/19)))**(-13) assuming p is positive. p**(-10231/76) Simplify (z*z**(-13)*z**8)/(z**(-1/37)*z)**(-30) assuming z is positive. z**(932/37) Simplify ((f*f*f**(5/6)*f*f**5*f)/(f**(-7)*f*f*f/(f*(f**(-2/3)*f)/f*f*f)))**(-3/2) assuming f is positive. f**(-97/4) Simplify (r/(r*r**(1/22)*r)*r*r**(-9)*r**(-1)/r*r/(((r*r/r**(2/17))/r*r)/r))**(-2/5) assuming r is positive. r**(4087/935) Simplify (((t/(t/t**(-4)))/t)/t*t/(t*t**19))**5 assuming t is positive. t**(-125) Simplify (l**1*l*l**1*(l**(-1)/l)**(-9))**(3/16) assuming l is positive. l**(63/16) Simplify (((g**(-1/2))**19)**(-28))**(-17/4) assuming g is positive. g**(-2261/2) Simplify (r**0)**(-21)*(r/((r**(-3/7)*r)/r))/r**9 assuming r is positive. r**(-53/7) Simplify ((m/(m**(-1/6)*m))/(m**(2/11)*m))/((m**(-4/7)*m)/m**(-18)) assuming m is positive. m**(-8983/462) Simplify a*a*a**(-2)*a*a/a**(-13)*(a**(-4/3))**(-2/69) assuming a is positive. a**(3113/207) Simplify u**(-20)*(u*u**(-7/4))/u*((((u/(u*u*u/u**(-2/13)*u))/u)/u)/u)/(u**(1/5)/u) assuming u is positive. u**(-7047/260) Simplify ((z**(-3)/z**(-2))/(z**7*z*z**(-7/5)/z))**29 assuming z is positive. z**(-957/5) Simplify (m**(-6/11))**(-48)/(m/(m*m*m/((((m/m**(-2/13))/m*m)/m)/m))*m/(m/(m**(-1/22)/m))) assuming m is positive. m**(8601/286) Simplify ((v**(1/3)/(v**1*v))/(v**(-1/5)/(v/v**(-2/17))))**(-18) assuming v is positive. v**(534/85) Simplify (((m/((m/m**1)/m*m))/m*(m/(m*m/(m*(m/(m**2/m))/m)))/m*m*m)/(((m*m**(-2/15))/m)/(m/(m**(3/5)/m))))**(-2/81) assuming m is positive. m**(-46/1215) Simplify ((r/(r*r*r**(1/4)))/(r**(-5)/r)*(r*r/((r*(r**(-1/4)/r)/r)/r*r)*r)**(-3/7))**31 assuming r is positive. r**(1271/14) Simplify (l**(1/3))**5/(l**(-4/3))**42 assuming l is positive. l**(173/3) Simplify (s/(s*s**(3/19))*s**(-5/6))**(6/23) assuming s is positive. s**(-113/437) Simplify (g**(-4/5))**(-9)*g**(-38)*g*g**(12/11) assuming g is positive. g**(-1579/55) Simplify (c/((c*((c/(c*c/(c**(-1/13)/c))*c)/c)/c*c)/c))**43*(((c/(c/c**1))/c)/c)**(-43) assuming c is positive. c**(2279/13) Simplify (y**3*y)**36/(y**6*y**16*y) assuming y is positive. y**121 Simplify (u**(2/5)/u)**(-18)*(u*u*u/u**(-2)*u)**(-3/5) assuming u is positive. u**(36/5) Simplify r**(-2)/r**(1/53)*(r**3)**34 assuming r is positive. r**(5299/53) Simplify (((j**0)**(16/9))**(-28))**(1/17) assuming j is positive. 1 Simplify (((h/(h/(h*h**0)))/(h*(((h/(h/(h/((h**(5/4)/h)/h))))/h)/h*h)/h))/(((h*h**4)/h)/h*h*h**(3/5)))**(-44) assuming h is positive. h**(957/5) Simplify ((m**(4/5)/((m/m**(-6))/m))**19)**(-10) assuming m is positive. m**988 Simplify ((j/(j*j/(j/(j*j**(9/4)))))/j)/(j**9/j)*(j**(-10)*j)/(j/(((j*j**(-1/8))/j)/j)*j) assuming j is positive. j**(-195/8) Simplify (w**(3/4))**(-15)*(w*w*w*w*w/(((w**15/w*w)/w*w)/w)*w)**(-1) assuming w is positive. w**(-13/4) Simplify (b*b**(-2/13))**(-13)/(b**0)**16 assuming b is positive. b**(-11) Simplify (f**(-7)/f**(-25))/(f**(-16)/(f*f**(2/25))) assuming f is positive. f**(877/25) Simplify (z**(14/11)*z)**(-4/13)/(z**(-2/11)/z**(-4/9)) assuming z is positive. z**(-1238/1287) Simplify (((z**(-1/34)*z)/(z**(4/13)/z))**(11/2))**(-2/35) assuming z is positive. z**(-231/442) Simplify (b*(b/(b*(b*b/(b*(b/((b*(b**(-3/14)/b*b)/b*b*b*b)/b))/b))/b))/b)/b**(-1)*b**17*b/b**(-6/7) assuming b is positive. b**(253/14) Simplify ((w*w**(-5/7)/w*w*w*(w*w*w/(w*(w*w*(w/(w*(w*w/(w/(w*w**(-1/14)*w*w)))/w)*w)/w*w*w*w)/w)*w)/w*w*w)**(2/75))**(-6/13) assuming w is positive. w**(-118/2275) Simplify ((x/(x*x*x*(x*x**(-5/2))/x*x))/(x*x**(-1/5)*x*x))/(x**4)**(-31) assuming x is positive. x**(1207/10) Simplify (v/((v/(v**(-6)*v))/v))**(1/5)/(v**(3/16)*v/v**7) assuming v is positive. v**(401/80) Simplify (g*g**(2/5))/g**(-6)*(g**(-1/6))**(-36/11) assuming g is positive. g**(437/55) Simplify (((b/(b/(b*b/(b*b*b**(-2/7))*b)*b)*b)/b)**(1/11)/((b**1/b)/b*b**(-6)))**(-23) assuming b is positive. b**(-12443/77) Simplify (o**(-28)/(o/(o**18/o)))/(o/(o/o**7))**(-31) assuming o is positive. o**205 Simplify (d**12/(d/((d*d**(-12))/d))*((d/d**(-9))/d)/d*d**(-10))**(4/9) assuming d is positive. d**(-4/3) Simplify ((((a/a**(-10/3))/a)/a)/a**(2/3))/(a**(-15)*a**(8/5)) assuming a is positive. a**(226/15) Simplify ((q/q**(-1/3))**(-2/5)/((q*q/(q**(-11/3)*q))/q**(2/9)))**46 assuming q is positive. q**(-10304/45) Simplify (f/(f*(f*f/(f**4*f))/f)*f)**(7/4)/(f**(1/9)*f**(-1/8)) assuming f is positive. f**(631/72) Simplify (z**(-2/61)/(z/(z*z/z**(3/4))))/(z**(-1/19)*z*z**(-18/13)) assuming z is positive. z**(39443/60268) Simplify u*u**(3/2)*u*u**(-28)*u**(8/3)/(u**(12/7)/u) assuming u is positive. u**(-947/42) Simpl
{ "pile_set_name": "DM Mathematics" }
33*c - 3*c = 6*c - 648 for c. -27 Solve 26*i - 1929 + 1026 = -1007 for i. -4 Solve -58*u = -305*u - 2964 for u. -12 Solve -24 = 16*b - 22*b for b. 4 Solve 2*s = -128 + 116 for s. -6 Solve 0 = 31*a - 147 + 767 for a. -20 Solve g + 206 - 212 = 0 for g. 6 Solve -234*i - 7 = 4 - 11 for i. 0 Solve -41*w = -21*w + 12*w - 224 for w. 7 Solve -237*y + 489*y = -322*y - 20090 for y. -35 Solve 0 = -5*z + 7*z - 38 + 8 for z. 15 Solve -328 = 44*d + 84*d + 440 for d. -6 Solve -11*y - 6*y + 8*y = 8*y for y. 0 Solve -278*t + 1046*t - 13824 = 0 for t. 18 Solve -86*q + 95*q = 9 for q. 1 Solve 252 - 564 = -52*b for b. 6 Solve 647 = -39*k + 686 for k. 1 Solve -111*p - 1861 + 5950 = 30*p for p. 29 Solve -253*u + 1015 = -756 for u. 7 Solve -21*c + 14*c - 84 = 0 for c. -12 Solve 0 = -53*n - 44*n + 2037 for n. 21 Solve 0 = 10*y - 20*y - 86 + 56 for y. -3 Solve 29*b = 72*b - 33*b + 60 for b. -6 Solve 11*d - 224 = -21*d for d. 7 Solve -26 = 107*w - 15*w - 118 for w. 1 Solve -24*u + 61 = -59 + 48 for u. 3 Solve -15*p - 139 - 101 = -0*p for p. -16 Solve r - 46326 = -46321 for r. 5 Solve -559 = 19*j - 153*j + 1049 for j. 12 Solve -329*c = 249*c - 610 + 4656 for c. -7 Solve 111*y + 721 = -336*y + 3850 for y. 7 Solve -1322*m = 25125 + 1315 for m. -20 Solve 227*v + 4384 + 774 + 2333 = 0 for v. -33 Solve -732*u + 387 = -861*u for u. -3 Solve 704*j - 677*j + 378 = 0 for j. -14 Solve -13948*i - 211 + 67 = -13932*i for i. -9 Solve -348198*x - 477 = -348145*x for x. -9 Solve -1242*o - 1582 = -1129*o for o. -14 Solve 46*j - 102 = 818 for j. 20 Solve 1115 + 890 = 79*i - 128 for i. 27 Solve 1835*n - 1892*n - 171 = 0 for n. -3 Solve 271*b + 5525 = -54*b for b. -17 Solve 968*x - 41 = 973*x + 4 for x. -9 Solve 269 = -272*b + 6253 for b. 22 Solve -12*g - 2024 = 18*g + 62*g for g. -22 Solve 0 = 270*j - 1195*j + 10175 for j. 11 Solve 588 = -12*w + 744 for w. 13 Solve 617 - 2535 = -313*m + 3716 for m. 18 Solve 89*q - 304 = 4*q + 9*q for q. 4 Solve -121*r + 222*r + 1110 = -121*r for r. -5 Solve 378 = 2*j - 6*j - 17*j for j. -18 Solve 141*b = 98*b - 602 for b. -14 Solve 141*w + 5*w + 824 = -1220 for w. -14 Solve 168*d - 380 = 148*d for d. 19 Solve 410*o - 578*o - 5712 = 0 for o. -34 Solve -640*y + 1409 + 2230 = -2121 for y. 9 Solve 21*k + 123*k + 562 = -734 for k. -9 Solve 5*t - 14 + 31 = 7 for t. -2 Solve -189*t + 1235 = -1033 for t. 12 Solve -267 = -39*i - 267 for i. 0 Solve -2727 = 31433*d - 31534*d for d. 27 Solve -25*k + 30 + 68 = 23 for k. 3 Solve 93*r + 92*r - 352 = 196*r for r. -32 Solve 0 = -378*v + 377*v for v. 0 Solve -350 = 3753*b - 3728*b for b. -14 Solve 137*i + 3630 = 16*i for i. -30 Solve -4*g + 12*g - 30*g = 88 for g. -4 Solve 1281 = 59*a + 42 for a. 21 Solve 45*y - 1298 = -353 for y. 21 Solve 16*p = 17*p + 4 - 6 for p. 2 Solve 23*s + 339 + 6 = 0 for s. -15 Solve 53344*n - 53329*n = 270 for n. 18 Solve -4732*w = -4701*w + 62 for w. -2 Solve 0 = -752*t + 225*t + 5797 for t. 11 Solve -5*d - 26 = -6*d - 6 for d. 20 Solve 114*o = 43*o - 104*o + 3850 for o. 22 Solve 0 = 714*r + 939 + 8343 for r. -13 Solve 16 = 32268*g - 32269*g for g. -16 Solve 2256*w = 2270*w + 37 - 9 for w. -2 Solve -1999 = -155*c + 2341 for c. 28 Solve -240 = -173*m + 157*m for m. 15 Solve 0 = -249*f + 98*f - 64*f + 1290 for f. 6 Solve 925 = 30*y - 1055 + 2130 for y. -5 Solve 289*x - 1788 = 6470 - 455 for x. 27 Solve 8*z + 1170 = -37*z - 33*z for z. -15 Solve -2*h - 54 = 98*h - 1054 for h. 10 Solve -21*j + 17*j + 63 = -13*j for j. -7 Solve -25*x - 750 = 613 - 688 for x. -27 Solve 513*k = 13782 + 10373 - 8765 for k. 30 Solve 0 = -43*c - 3426 + 2523 for c. -21 Solve -263*n - 1218 = -60*n for n. -6 Solve 279 = -423*z + 454*z for z. 9 Solve -110 = -18*r - 60 + 40 for r. 5 Solve 115*p - 219 = 126 for p. 3 Solve 4874 - 43214 = 1420*i for i. -27 Solve 815*o = 961*o - 1752 for o. 12 Solve 21*k - 333 + 39 = 0 for k. 14 Solve 108*c = 914*c - 2 + 2 for c. 0 Solve 0 = 3*t + 2 + 9 - 2 for t. -3 Solve 67 = -5135*b + 5160*b - 158 for b. 9 Solve -15*p + 62*p + 364 = -5*p for p. -7 Solve -125*a = -52*a - 730 for a. 10 Solve 692 = 128*c - 460 for c. 9 Solve -930 = 37*k - 893 for k. -1 Solve 20*g - 61*g + 1278 = 101*g for g. 9 Solve -15 - 3 = -17*x + 50 for x. 4 Solve 230*g = 205*g - 125 for g. -5 Solve 5*b - b + 37 = -3 for b. -10 Solve -803 = 175*c + 1647 for c. -14 Solve -13*u + 61 = -9 - 34 for u. 8 Solve -106 = 5*d - 31*d - 704 for d. -23 Solve 141*j = -31*j + 2924 for j. 17 Solve -37 = -5*n + 62 + 11 for n. 22 Solve 21*x - 42 = -59 - 67 for x. -4 Solve 54*n + 755 - 279 = 82*n for n. 17 Solve -25*o + 103 + 548 = 68*o for o. 7 Solve 167*l + 143 = -658 - 34 for l. -5 Solve -4027*o = -4048*o - 163 - 5 for o. -8 Solve 0 = -4*w - 63*w + 1206 for w. 18 Solve 41*p - 4968 = -154*p - 12*p for p. 24 Solve 155*g + 12*g = -39*g for g. 0 Solve -4*j + 362 = -39*j + 47 for j. -9 Solve z - 38 + 16 = -9 for z. 13 Solve 150*c - 6*c = 419 - 2291 for c. -13 Solve -21*u + 342 = 18*u - 87 for u. 11 Solve -43*s - 2213 = -402*s + 8198 for s. 29 Solve -84*l + 1199 = 107 for l. 13 Solve 20348 = -836*k - 6404 for k. -32 Solve 261*o - 348 = 290*o for o. -12 Solve 0 = 133*r - 397*r - 2376 for r. -9 Solve -124469*d - 540 = -124409*d for d. -9 Solve 18*l - 25*l - 13 = 92 for l. -15 Solve 653*j + 186 = 715*j for j. 3 Solve 25*n = -122 - 187 + 59 for n. -10 Solve -210 = 134*h - 113*h for h. -10 Solve 31*l = -22*l + 65*l - 36 for l. 3 Solve -9*b - 371 = 375 - 494 for b. -28 Solve -1117 + 3151 = 226*p for p. 9 Solve 52*l + 16 = 108 + 64 for l. 3 Solve 25*j - 63 = 45 + 42 for j. 6 Solve 47773*q = 47777*q + 44 for q. -11 Solve -16*x + 10*x + 138 = 48 for x. 15 Solve 368 = 76*r - 1304 for r. 22 Solve -27*m - 217 = -758 - 134 for m. 25 Solve -239802*k + 239795*k = 112 for k. -16 Solve 12*a - 29*a - 560 = 39*a for a. -10 Solve 1425*g - 1408*g + 119 = 0 for g. -7 Solve -30*b - 504 = -24 for b. -16 Solve -88 = -48*g + 56 for g. 3 Solve -270 = 25*u - 420 for u. 6 Solve 6*i + 0*i - 43 = -1 for i. 7 Solve 4841*y = 4854*y - 13 for y. 1 Solve -289*q - 70035 = -2704*q for q. 29 Solve 26 = -279*j + 277*j for j. -13 Solve -230*p + 4536 = -306*p - 302*p for p. -12 Solve -89*z - 51*z - 1833 = z for z. -13 Solve 2910*k = 2934*k - 432 for k. 18 Solve 103*d = -373*d + 60*d for d. 0 Solve 0 = 25*h - 17*h + 24*h + 256 for h. -8 Solve 756 + 2758 = -533*c + 31*c for c. -7 Solve 0 = -38*s + 32 + 44 for s. 2 Solve 2*s - 148 = 82 - 208 for s. 11 Solve 19*k - 47 = 10 for k. 3 Solve -307*x - 1004 = 732 - 201 for x. -5 Solve 328*t - 112*t = -89*t for t. 0 Solve -94*i + 73*i - 171 = 81 for i. -12 Solve 149*u + 90*u = -4063 for u. -17 Solve -92*b - 361 + 314 = 689 for b. -8 Solve -181*i = -54*i + 127 for i. -1 Solve -81*l - 46*l = 17*l for l. 0 Solve 6*h + 445 + 451 = 818 for h. -13 Solve -272 + 298 + 438 = 232*v for v. 2 Solve 466 + 7475 = 769*b + 1020 for b. 9 Solve -5*n = 36 - 23 - 18 for n. 1 Solve -342*u = 354*u + 5568 for u. -8 Solve 2*k = -28*k - 27*k - 342 for k. -6 Solve -716*o = -719*o + 12 for o. 4 Solve -15936*v = -15939*v + 12 for v. 4 Solve -14*b - 3914 + 3788 = 0 for b. -9 Solve -117*d + 1845 - 558 = 0 for d. 11 Solve -58*u = 5138 - 993 - 2695 for u. -25 Solve 0 = 153279*u - 153274*u - 70 for u. 14 Solve -685*h + 701*h + 10 = 298 for h. 18 Solve -155*f - 1883 - 2922 = 0 for f. -31 Solve 95 = -21*p - 38 + 7 for p. -6 Solve 464 = -116*u - 496 + 380 for u. -5 Solve -48*v + 10*v - 20699 + 19787 = 0 for v. -24 Solve 0 = -3*x - 13*x + 177 - 33 for x. 9 Solve 7*o + 4*o = -5 - 50 for o. -5 Solve 52*n = 72*n - 33*n + 91 for n. 7 Solve 859*c - 492*c = 4771 for c. 13 Solve -674 = -44*j - 2119 + 961 for j. -11 Solve -37*f + 18*f - 171 = 0 for f. -9 Solve 35*r + 9 + 5 = 14 for r. 0 Solve 0 = -2*m + 37 - 23 for m. 7 Solve 11*g - 43*g = -12*g - 15*g for g. 0 Solve 497 - 322 = -35*v for v. -5 Solve 144*z + 1170 = 234*z for z. 13 Solve -18 = -56*q + 1326 for q. 24 Solve -268*a - 282*a + 310*a = -5040 for a. 21 Solve -113*z - 43 = -108*z + 17 for z. -12 Solve 334 = -44*u + 211*u for u. 2 Solve 0 = 57*y - 18*y + 29*y - 476 for y. 7 Solve -436*t = 3359 + 1437 for t. -11 Solve 3291*f - 3288*f + 3 = -0 for f. -1 Solve 49*c = -21*c - 14*c + 672 for c. 8 Solve o = -9368 + 9374 for o. 6 Solve 38*q + 214 = -90 for q. -8 Solve -9*f - 18*f + 175 + 662 = 0 for f. 31 Solve -534*h + 234*h - 608*h + 17
{ "pile_set_name": "DM Mathematics" }
- x = -119, 2*x = -8. Suppose 0*c + m = 5*c. List the prime factors of c. 3 Let z(y) = 4*y + 10 - 3*y - 1. Suppose -3*r = -0 + 21. List the prime factors of z(r). 2 Let f(c) = c**3 - 7*c**2 + 6*c - 1. Let w be f(6). Let x be (-3)/(-2 + w)*13. Let h = x - 0. What are the prime factors of h? 13 Suppose -13*s - 30 = -15*s. What are the prime factors of s? 3, 5 Let r(h) = 4*h**3 - 2*h**2 + 2*h - 3. Let d be r(2). Let y = d - 13. What are the prime factors of y? 2, 3 Let p(i) = -3*i + 4. Let a be (12/(-10))/((-20)/(-50)). List the prime factors of p(a). 13 Let x(u) = 6*u**3 - 7*u**2 + 19. What are the prime factors of x(4)? 3, 97 Let w = 18 - 13. List the prime factors of w. 5 Let y = 8 - 1. Let x(h) = -h**3 + 7*h**2 + 2*h - 8. What are the prime factors of x(y)? 2, 3 Suppose 0 = -5*n + 3*o - 10, 4*n + 5*o = -n + 30. Let a(p) = -p**2 + 2*p + 4. Let g be a(3). List the prime factors of 6*g/1*n. 2, 3 Suppose 0 = v + 11 + 32. Let j = v - -83. What are the prime factors of j? 2, 5 Suppose 2*n = -p + 121, -3*n + 3*p = n - 267. Suppose 4*u + 15 = n. What are the prime factors of u? 2, 3 Let d(p) = -1. Let r(u) = -18*u**2 + 1. Let o(l) = -2*d(l) - r(l). List the prime factors of o(1). 19 Let t(a) = -a**3 - 4*a**2 + 2*a + 1. Suppose 0 = -0*s - 4*s - 20. Let x be t(s). Let v = x - 2. What are the prime factors of v? 2, 7 Let h = 271 + -36. List the prime factors of h. 5, 47 Let u be 2/(-5) + (-9)/15. List the prime factors of 0 + (32 - u)/3. 11 Suppose 0 = -5*u + 39 - 14. What are the prime factors of u? 5 Let f = -21 - -48. List the prime factors of f. 3 Let f = -6 - -2. What are the prime factors of (-48)/2*f/8? 2, 3 Suppose 3*v - 5*v = 5*c - 287, 3*c - 176 = -5*v. What are the prime factors of c? 3, 19 Let t be (0/2)/(2 + -1). Suppose -3*f = -t*f - 54. Suppose 0*d - 2*d = -f. What are the prime factors of d? 3 Let k(w) = -w - 2. Let z be k(0). Let r be (-55)/(-10) + 1/z. What are the prime factors of 9/15 - (-42)/r? 3 Let y(f) = -2 - 2*f**3 + 0 - 8*f**2 + f**3 + 4*f. List the prime factors of y(-9). 43 Let x = 32 + -22. Suppose 5*z = -x, 5*n - z - 8 = -2*z. Let g(w) = 5*w + 1. List the prime factors of g(n). 11 Let i(s) = s**3 + s**2 - 2*s - 1. Let x be i(-2). Let n be ((-2)/(-3))/(x/(-6)). Suppose -n*z - z = -45. List the prime factors of z. 3 Suppose -4*c - 5*n - 22 = 3, -n = -3*c - 14. Let u = c - -10. List the prime factors of u. 5 Let d(p) = 3*p - 24. What are the prime factors of d(10)? 2, 3 Let p(v) = v**3 - 6*v**2 + 2. Suppose 0 = 9*w - 4*w - t - 53, -3*t - 49 = -5*w. Let b = w + -5. What are the prime factors of p(b)? 2 Let m(h) = -3*h - h**3 + h**2 + 2*h**2 + 1 - h + 2*h**3. What are the prime factors of m(-3)? 13 Let d(i) = -i + 2. Let b be d(2). Let x(j) = -j**2 + 68. Let y be x(b). Suppose -u - y = -4*r - 3*u, -2*r - 5*u = -42. List the prime factors of r. 2 Let z = 39 + -56. Let w = z - -29. List the prime factors of w. 2, 3 Suppose 0*x - 9 = 3*x. Let z(g) = g**2 - 6*g. Let p be z(5). Let r = x - p. What are the prime factors of r? 2 Let t(j) = -4*j + 5*j + 1 + 3. List the prime factors of t(3). 7 Let o(y) = 5*y**3 - 4*y**2 + 2*y. List the prime factors of o(2). 2, 7 Let r(v) = v**3 - 8*v**2 + 5*v - 4. Let c be r(8). Suppose -n + 5*n = c. Suppose -n = -6*i + 3*i. What are the prime factors of i? 3 Suppose 0 = 5*o - 211 + 36. What are the prime factors of o? 5, 7 List the prime factors of -1 + 2238/4*14/21. 2, 3, 31 Suppose 2*x = -3*x + 3*c + 95, 2*x - c = 38. Let z = x - 11. List the prime factors of z. 2 Let p = 49 + -34. List the prime factors of p. 3, 5 Let l(j) = -j**3 + 10*j**2 + 11*j + 16. List the prime factors of l(9). 2, 7 List the prime factors of 4 + (18/(-12))/((-6)/368). 2, 3 Let b = 8 - 4. What are the prime factors of (0 + b)*(-4)/(-8)? 2 Let z(j) = -j**2 - 7*j - 5. Let i be z(-5). Suppose 5*v + 15 = -i. Let y = 9 + v. List the prime factors of y. 5 Let o(v) = v**2 + 3*v + 3. Let w be o(-3). Suppose 0 = -3*b, -w*p - 4*b = -29 - 4. What are the prime factors of p? 11 Let p be 2/4 + 3/6. Let k(a) = -a + 7. Let y be k(0). Let l = p + y. What are the prime factors of l? 2 Let v = 7 - 11. What are the prime factors of (-1)/4 + (-41)/v? 2, 5 What are the prime factors of (-10)/(-75) + 2816/30? 2, 47 Let n be (-1)/(-5) + (-38)/(-10). What are the prime factors of n/10 - (-272)/20? 2, 7 Let k be 17*(12 + 6/(-3)). Suppose 4*p = s + k, 5*s + 2*p + 468 = 2*s. What are the prime factors of 10/(-35) - s/14? 11 Let l(u) be the first derivative of -u**3/3 + 2*u**2 + 2*u - 3. Let y be l(5). What are the prime factors of (4 + -3)*y - -7? 2 Let a = -8 - -12. Let w(t) = t**3 - 4*t**2 + t - 2. List the prime factors of w(a). 2 Let v be ((-4)/(-3) - 2)*108/24. Let u(t) be the second derivative of t**4/12 - 2*t**3/3 - 3*t**2/2 + t. What are the prime factors of u(v)? 2, 3 Let t(j) = -2*j**3 - 2*j - 1. Let g be t(-3). Suppose -g = -3*v + 13. Suppose 0 = 2*u - 5*p - 6, 2*u + 4*p - v = 0. List the prime factors of u. 2 Let z = -60 - -87. Suppose 0 = 3*h - s + 51, 0 = -5*s + 2 - 17. Let p = z + h. List the prime factors of p. 3 Let a = -5 - -5. Suppose a = -t + 10 + 24. List the prime factors of t. 2, 17 Let a(i) be the first derivative of 2*i**2 - 2*i + 3. What are the prime factors of a(3)? 2, 5 Suppose -x = -4*b + 10, -14 = -5*b + 2*x - 0*x. Suppose -4*h - 2*w + 8 = 0, -2 = -h + 7*w - 2*w. Let m = b + h. What are the prime factors of m? 2 Let t(o) = -o**2 + 9*o. Let f be t(9). Let v = f + 3. Suppose h - 7 + v = 0. What are the prime factors of h? 2 Let p(h) = -10*h + 1. What are the prime factors of p(-1)? 11 Suppose -77 + 5 = 3*b. Let r(g) = -g**3 + 4*g**2 + 11*g - 6. Let i be r(6). Let n = i - b. What are the prime factors of n? 2, 3 Let c(d) = 12*d**3 - 2*d**2 + 1. Let w be c(1). Let l = -17 + w. Let f(r) = -r**3 - 7*r**2 - 7*r + 5. List the prime factors of f(l). 11 Suppose 4*u = 4*k, 0 = -4*u - 2*k + 3*k - 9. Let j(l) = -8*l - 3. What are the prime factors of j(u)? 3, 7 Let p(z) be the second derivative of z**5/20 - z**4/2 - z**3/3 + 4*z**2 - 3*z. Let h be p(6). What are the prime factors of (-11)/h + 1/4? 3 Suppose 5*w = -4*l + 168, 0*w - 51 = -w + 5*l. What are the prime factors of w? 2, 3 Suppose 4*r + 110 = 2*y, 5*y - 205 - 145 = -5*r. What are the prime factors of y? 5, 13 Suppose 24 = 2*x + 2. Suppose 1 = -3*t + 10. Suppose -16 - x = -t*i. List the prime factors of i. 3 Suppose -z - 10 = -6*z - 2*j, -2*j + 10 = -4*z. Suppose 3*b = -i + 16, -4*i - i + 5*b + 60 = z. List the prime factors of i. 13 Suppose -604 = -4*k - 4*v, 4*k + 3*v = 6*v + 576. What are the prime factors of k? 3, 7 Let h be (1 + (-4 - -2))*1. Let x be (-1)/(6/(-8) - h). What are the prime factors of (8/(-2))/(8/x)? 2 Suppose 0 = -5*d + b - 75, -b - 61 - 4 = 5*d. Suppose 0 = 3*c - 5 - 4. List the prime factors of -3*(d/c - 1). 17 Let o be -4*((-10)/(-8))/(-1). Suppose 3 + o = 4*k. Suppose 0 - k = -r - 2*g, 3*r = g + 20. What are the prime factors of r? 2, 3 Let u = 68 - 4. Suppose -4*z + u = -0. Suppose -3*n = n - z. List the prime factors of n. 2 Let n(b) = 0 + 1 + b + 1. Let r be (4/(-5))/2*-5. What are the prime factors of n(r)? 2 Let d(f) = f + 9. Let c be d(0). Let x(n) = n**2 - 8*n - 2. List the prime factors of x(c). 7 Suppose -t + 5*n = -45, -3*t + 115 = -0*n - 5*n. Suppose t + 57 = 4*y. Let x = y + -13. What are the prime factors of x? 2, 5 Suppose z + 416 = 5*z. What are the prime factors of z? 2, 13 Suppose 2*c + 6 - 66 = 0. Suppose -7*f + c = -2*f. What are the prime factors of f? 2, 3 Let q(s) = -s**2 + 4*s + 1. Suppose -5*n - 2*v = -25, 3*n - 1 = v + 14. Let z be q(n). What are the prime factors of ((-9)/6)/(2/z)? 3 Let q(i) = i**2 + 11*i - 13. Let z(t) = -t**2 - 12*t + 14. Let o(k) = -6*q(k) - 5*z(k). What are the prime factors of o(-6)? 2 Let u = -13 + 51. List the prime factors of u. 2, 19 Let f be 48/5 + 15/(-25). Suppose 0 = -5*v + f + 81. List the prime factors of v. 2, 3 Suppose -3*l = -3*m + 6*m - 6, -5*m - 5 = 2*l. Suppose -h + 5 = 4*f + 1, -h = l*f + 1. What are the prime factors of h? 2, 3 Suppose -5*c - 4*s - 8 = -4*c, c + 3*s + 5 = 0. Suppose i - 3*h - 28 = 0, -3*h + c*h = -5. What are the prime factors of i? 13 Let w(p) = -p**3 - p - 2. Let g be w(0). Let l = g + 5. Suppose -u - 4*q - 52 = -5*u, l*q = -u + 13. List the prime factors of u.
{ "pile_set_name": "DM Mathematics" }
r i. -4 Suppose -787 - 221 = -6*y. Let p = y + -154. Let x(w) = 4*w - 13. Let m be x(4). Solve i = -5*r - 26, m*r + 0*r = i - p for i. -1 Let k(u) = -3*u - 35. Let h be k(-14). Suppose 4*w - a - h = 3, -3*w + 19 = 5*a. Let n be w/(-18) + (-1)/(-6). Solve -i - i - f = n, 4*i = -5*f for i. 0 Suppose k + 12 = 2*g, -k - 38 = -5*g - 17. Solve -10 = 5*a + 5*f, 3*a - g*f = -2*f - 18 for a. -5 Let l(h) = 224*h - 1557. Let p be l(7). Solve -4*i + 2*z + 2 = 0, -i + p*z = 12*z - 5 for i. 2 Let x(u) be the first derivative of u**4/4 + 2*u**3 + 3*u**2/2 - 5*u - 6. Let h be x(-5). Solve 4*c - 4*n = -8, -h*c = -0*c - 3*n + 8 for c. -1 Let d = 3881 - 3877. Solve 9*c + 4 = 11*c - y, 0 = -2*c - y + d for c. 2 Suppose 0 = 3*f - 4*y + 14, -2*y + 14 = -4*f + 12. Solve 4*u - u = -2*d - 3, -f = 2*u + 3*d for u. -1 Let k(j) = 6*j**2 + 26*j + 10. Let w be k(-4). Solve n + 1 = -5*u - w*n, 5*u + n = 3 for u. 1 Let d(g) = -g**2 + 22*g + 506. Let s be d(36). Solve s*o = l - 2, -4*l - 12 = -144*o + 146*o for l. -2 Suppose -59 = 3*g - 65. Suppose 10 - 16 = -g*h. Solve j = 4*q - h - 10, 2*q - 14 = 2*j for q. 2 Suppose -660 = -3*l - 9*l. Suppose 26*k = 21*k + l. Suppose -5*f + 17 = 5*z - 6*z, -f - k = -5*z. Solve -5*y + 25 = -0*y, 0 = i - z*y + 17 for i. -2 Suppose 15*d - 2*d = 39. Let q be (d/(-24) + 21/(-24))*0. Suppose -3*o + 4*o + 4*a + 18 = 0, o + a + 3 = 0. Solve q = o*t - l - 1, 3*t - 5*l - 2 = -18 for t. 3 Let u(v) = 4*v**2 - 3*v**2 + 2*v**2 - 2*v**2 - 14. Let a be u(7). Let k = a - 32. Solve 14 = -k*f + 2*d, -f = -5*f - 5*d - 11 for f. -4 Let v(n) = n**3 + 40*n**2 + 35*n - 155. Let y be v(-39). Solve -4*u - y = -2*d - 7*u, 5*d + 23 = u for d. -4 Suppose -732 = -u - 717. Suppose u*v - 87 = -57. Solve -3*a + v*g = -9, -7 = -2*a + 2*g - 3 for a. 5 Let t(b) = -28 + b**3 + 16*b - 34*b + 29*b - 3*b**2. Let h be t(3). Solve -2*y - 2*y - 5*q + 17 = 0, 5*q = h*y - 10 for y. 3 Suppose 17 + 8 = -5*d. Let t be 3/((-15)/4)*d. Let s be ((-2)/4)/(42/28)*24/(-2). Solve i = -t*y - 23, 3*i + 8 = y + s for y. -5 Let r(q) = -48*q**3 - q**2 + 1. Let n be r(-2). Let x = 396 - n. Solve -i - 8*h + 3*h + x = 0, 4*i - 3*h = -9 for i. 0 Let j = 3707 + -3703. Solve -28 = -18*b + 13*b + 3*m, -j*m - 4 = 0 for b. 5 Suppose -3*l + 66 = -5*z + 8*z, 4*l - 68 = z. Solve 3*u + 3*t = -15, -t - 17 = -u - l for u. -3 Let z be (0 - (-432)/56) + 4/14. Suppose -z*g = -g - 28. Suppose -g*w + 66 = -6. Solve k = -3*k + 5*i - w, -5*i = -k - 12 for k. -2 Suppose -5*r + 23*r = -18*r. Solve -4*u + 5 - 10 = -5*m, r = 4*u + 2*m + 26 for u. -5 Let f(g) = -g**2 - 12*g - 8. Let u be f(-11). Suppose u*v = -v. Suppose -3*c - 70 + 76 = v. Solve -c = -2*t - 2*x, -2 = x - 4 for t. -1 Suppose 3*z + u - 4 = 0, -2*z - 5*u = 2*z + 13. Solve 5*a = -z*q, -3*q + a - 7 = 11 for q. -5 Let h be 4/10 - (-5 - 2376/60). Solve -5*o - 6*k + k + h = 0, -3*k = o - 17 for o. 5 Suppose 120 = 14*t - 62. Suppose -19*a - 13 = -t. Solve 3*n + b - 2*b + 1 = a, -4*n - b = -8 for n. 1 Suppose 32*s + 95*s = 381. Solve -3*r + 9 = x - 0*r, 3*x - 3*r = s for x. 3 Let k(d) = d**3 + 9*d**2 + 3*d - 38. Let v be k(-8). Let h be (v/(-4))/(14/(-140)). Solve 4*j = h*w - 17, 3*w = w + 10 for j. 2 Let j(q) = 6*q - 28. Let r be j(11). Let v = r - 42. Let k be 12/v + 1/(2/18). Solve 0 = 5*s + 3*a + 8, 3*s - 2*a = -5*a - k for s. -1 Suppose -q + 626 = 4*h, q - 605 = h - 2*h. Solve -4*z + 590 = 3*x + q, 3*x = 3*z - 15 for z. 1 Let f = -1123 + 1239. Solve 2*l - 12 = 2*x, -x + 98 - f = -5*l for l. 3 Let q(x) = 4*x**2 + 354*x + 701. Let m be q(-2). Solve 4*w = 16, u + 6*w - 4*w - m = 0 for u. 1 Let y(c) = -c**2 + 40*c + 186. Let t be y(-4). Solve 2*k + 15 = 5*s, -5*k - t = -5*s + 20 for k. -5 Suppose 2*o = -3*o - 10, 0 = -m - 5*o - 7. Suppose -3*z + m*d = 3, -3*d = -5*d + 2. Solve -4*k + 12 = -4*h, 4*h - 5*k + 4 + 8 = z for h. -3 Let d be ((-2)/3)/((-8)/35 - 20/(-210)). Solve -3*c + 5*c - 3 = d*j, c = -5*j + 9 for j. 1 Suppose 679 = 44*p - 245. Solve -a - 3*y = y - p, 4*a - 2*y = 12 for a. 5 Let f = -605 - -631. Suppose -5*t = 3*w - 25, 4*w - 4*t - f = -7*t. Solve 0 = -4*p + 3*p - 1, w*p = -5*b + 20 for b. 5 Let l be (-6)/15 + (-248)/(-20). Suppose -l = -3*g - 0*g. Let f(x) = x**3 - 37*x**2 - 43*x + 194. Let h be f(38). Solve -h = -b + q + 1, -g*b - 4*q = 20 for b. 0 Let k be 1/(-2)*1*-40. Let g be (-12 + 0)*27/(-18). Suppose -4*m = -g + 6. Solve 3*d - 8 = 2*f - m*f, k = -2*f + 3*d for f. -4 Suppose 1593 = 4*k - t, -25 = 5*t - 0*t. Suppose 0 = -k*a + 390*a + 63. Solve -4*p - 6*d + 1 = -d, -3*d - a = 0 for p. 4 Let l(t) = -t**3 - 20*t**2 + 21*t + 4. Let b be l(-21). Suppose -7*a - b = -8*a. Solve 3*p - 2*w = 17, -3*p - a*w = -4 - 7 for p. 5 Suppose 9 = 5*c - 56. Let x = -286 + 280. Let t(o) = 26*o + 158. Let j be t(x). Solve -c = -5*m + 2*v - j, 12 = -4*v for m. 1 Suppose -f - 15 + 20 = 5*n, -2*f - 10 = 0. Solve -4*j - 8 = 2*p - 9*j, 5*p - 9 = -n*j for p. 1 Let c = 28009 - 27989. Solve -y - c = 3*t - 35, 3 = -3*t + 5*y for t. 4 Let i(q) = -53*q - 154. Let s be i(-3). Solve 5*y - 20 = 0, 3*a + s*y - 16 = 5*a for a. 2 Suppose 74*d = -344*d + 2090. Solve 3*b - 2*h = 18, h - d*h = -4*b + 28 for b. 4 Suppose -78*l = -19*l - 118. Solve 3*u + l = -5*i, -2*i + 29*u = 34*u + 16 for i. 2 Suppose 0 = 6*q - 5*q, -7*o = -q - 63. Solve -3 = -3*k - 3*a, -20*k - a - o = -24*k for k. 2 Let q(v) = -630*v + 10. Let h be q(-1). Let w be (-16)/(h/150)*16/(-6). Solve 4*l = j - 22, -5*l + l - w = 5*j for j. 2 Suppose 0 = -0*w + 2*w + o + 255, 0 = -o + 5. Let p = w + 133. Let k = -4 + 6. Solve -u = k*x - 3 + 2, 4*x + 3 = p*u for x. 0 Suppose k = 5*k - 20. Suppose k*o = 3*m - 5, -4*o + 3*m + 2*m = 17. Suppose 5*i + 3*w = 0, 2*w = i - o*w. Solve -3*h + 4*s + 4 + 1 = i, h + 1 = 4*s for h. 3 Suppose -b + 2*n + 12 = 0, -7*n = 2*b - 9*n - 16. Solve 22*v - 5*p = 19*v - 7, 0 = 4*v + b*p + 20 for v. -4 Suppose 2*s = -s - 3. Let t be (-42)/(-10) - (s + 4)/15. Suppose -2*j = 3*j + 4*l - 2, -2*j - 4*l = 4. Solve -4*g = t*o - 28, -3*g + 23 = j*o + 2*o for g. 5 Let r = -4696 + 4701. Let s be (-4)/(0 + -1 + 0). Suppose 3*x - 2*x = -m + 6, 28 = r*x + s*m. Solve -3*g + v + 3 = 0, -2*g - 3*v = -x*g + 9 for g. 0 Let z be -2 + 2 - 4 - (2904/(-12))/22. Solve a + w = -2*a - 13, -z = 5*a - 2*w for a. -3 Let k = -4 - -8. Let m = 549 - 617. Let t be 5/4*m/17*-1. Solve 0 = t*j - g - 19, 4*j - 2*g = -k*g + 18 for j. 4 Let y = 113 - 128. Let m be -1 + (-21)/y - (-32)/(-80). Solve 0 = -2*r - 4*b - m*b - 12, -4*b = -4*r - 12 for r. -4 Let m(o) = 5*o**2 - 52*o + 17. Let u be m(13). Let g be (u/124)/((-6)/(-44)). Solve -4*x + 5*s + 3 + g = 0, 2*x - 8 = 3*s for x. 1 Let d(u) = -u**3 + 16*u**2 + 161*u + 1. Let b be d(23). Solve -2*g - b = -p - 0, 4*g + 14 = -2*p for g. -2 Let j(w) = -w**2 + 5*w - 2. Let i = -158 + 84. Let k = -72 - i. Let u be j(k). Solve -u = -2*z, 3*t + 0*z - 6 = 3*z for t. 4 Suppose -81 = 114*c - 141*c. Solve 4*x - q + 8 - 13 = 0, 2*x + c*q = 13 for x. 2 Let i(s) = -4*s**2 + 6*s - 22. Let f be i(4). Let l = f + 102. Solve 4*d + 28 = 4*q - q, -l = 5*d - 5*q for d. -4 Let q be 0/(91/(-35) - 2/5). Suppose q = 10*m - 7*m - 6. Suppose 3*x - m*x = 17. Solve j - x = 5*i - 0*j, -5*j - 15 = 0 for i. -4 Let u = -21 + 70. Suppose 2*j = -2*j + 5*z + u, -38 = -3*j + 4*z. Suppose -j*r = -12 - 0. Solve 3 = 2*t + 5, -o + 1 = -r*t for o. -1 Let r(f) = 24*f - 61. Let u be r(3). Suppose u*b + 3 = 14. Solve 15 = -3*d + 2*s - 6, 0 = -2*d - 3*s - b for d. -5 Let x(y) = -y**3 - 40*y**2 + 31*y - 374. Let h be x(-41). Solve 32*g - h*g = 4*d + 36, -3*g + 21 = -5*d for d. -6 Suppose -7*f - 4*r = -10*f + 101, 0 = 4*f - 3*r - 116. Solve 0 = 25*l - f*l - 4*d - 18, 2 = -2*l - d for l. 1 Let f be 8*-1 - (-562 + 0). Let r = -552 + f. Solve 2*j - 2*b - r*b + 10 = 0, -4*b = -4*j - 8 for j. 1 Let x = -24 + 28. Suppose x*p - 6*p = -j + 17, 60 = 5*j - 5*p. Let q be (1*-4)/(-1*(3 - 2)). Solve -q*k - 3*f - 7 = j, 16 = -2*k + 3*f for k. -5 Suppose 2*k + 2*d - 24 = 0, -4*d - 22 = -5*k - 25. Solve -4*i = -k*v, i = -v + 3*i for v. 0 Let p(s) = 27*s**2 + 2*s - 1. Let j be p(2). Let b = -107 + j. Solve 5*c + 8 = -v - 12, -b*v - 3*c - 29 = 0 for v. -5 Let n be (-12)/(-9) + (-239)/(-3). Suppose -u + 5*o + 70 = 0, -8*u + 4*u + 349 = 3*o. Let y = u - n. Solve 2*q - q + 2*m - 1 = 0, 2*m = -y for q. 5 Let k(m) = -9*m + 397. Let h(v) = -9*v + 399. Let z(w
{ "pile_set_name": "DM Mathematics" }
555997 times -0.9 9500397.3 0.1777*-0.1 -0.01777 -0.1426*-0.07919 0.011292494 What is the product of 1.07 and -2324? -2486.68 -325919101.4 times 0.1 -32591910.14 Product of -3950.387 and 8. -31603.096 Calculate -0.7948*1.4932. -1.18679536 Work out 27759 * -18.7. -519093.3 Calculate 14269241*0.4. 5707696.4 Calculate 4.85*-5332. -25860.2 -4532 * 106.58 -483020.56 Calculate 731*-64908. -47447748 Calculate 8.565922*1.5. 12.848883 Calculate 14*-4751.6. -66522.4 18175 times 3237 58832475 Work out -3683359 * -0.2. 736671.8 -3280276 times -81 265702356 Calculate -2.80638*-1. 2.80638 Calculate 530.3*-707. -374922.1 What is 46086 times -776? -35762736 Product of -0.146 and -691.75. 100.9955 5 * 19930083 99650415 5*9530877 47654385 Multiply -1.9 and -409479. 778010.1 17.6243*150 2643.645 Calculate 15.200762*-2. -30.401524 Work out -1.694311 * 35. -59.300885 -0.14 times -22910164 3207422.96 144*-33604 -4838976 Multiply -0.05 and -235112. 11755.6 -3 times 3313924.78 -9941774.34 1053*0.06651 70.03503 721869*3 2165607 Work out -1221 * 1610. -1965810 Calculate -0.52*-0.533757. 0.27755364 Multiply 0.4 and 78302991. 31321196.4 What is the product of 2310096 and 6? 13860576 12 * -2.5816591 -30.9799092 -0.00280331 times 0.1 -0.000280331 0.4036 * 24.528 9.8995008 Work out -523342512 * 0. 0 What is 390719 times -35? -13675165 Calculate -6.9*955183. -6590762.7 What is the product of -0.1718 and -10.415? 1.789297 -181422 times 3.41 -618649.02 Calculate 45622*28. 1277416 Calculate 558*-23655. -13199490 What is -0.2 times 2775212? -555042.4 Work out 1 * -18958666. -18958666 Multiply -0.070381101 and 0.03. -0.00211143303 What is -1238977 times -230? 284964710 -1092.4841*0.01 -10.924841 0.5*-1481462 -740731 Product of 3066015 and 0.65. 1992909.75 Product of 5 and 1046908. 5234540 Work out 26724798 * 0.5. 13362399 Product of 0.124281015 and 4. 0.49712406 Calculate -7*267884.15. -1875189.05 What is the product of 0.0202 and 514035? 10383.507 Product of 1930 and 0.58118. 1121.6774 Product of 0 and 2198486. 0 What is the product of 0.3 and -116259.35? -34877.805 Product of -7.353 and 1.989. -14.625117 Calculate -300*0.08453. -25.359 Product of -299270 and -1.042. 311839.34 Calculate 5382086*-1. -5382086 12.5163*0 0 What is the product of 0.0939051 and 2.93? 0.275141943 -1 * 60.31617 -60.31617 43 times 3392944 145896592 Multiply 15.4276 and 472. 7281.8272 0.2444*3.9952 0.97642688 Product of 0.4 and 9195785. 3678314 What is 30.3 times -242791? -7356567.3 -8*-93.7669 750.1352 Calculate 0.177723*10. 1.77723 Product of -4 and 2375.947. -9503.788 -0.1 * -112878935 11287893.5 Multiply -2.2243 and -3925. 8730.3775 Work out 295.0046 * 8. 2360.0368 Calculate -27.4157*28. -767.6396 Product of -828084899 and 5. -4140424495 What is the product of -179267 and -0.154? 27607.118 Calculate -12.77*67162. -857658.74 -93835448 times -3 281506344 Work out -0.5 * -2501789. 1250894.5 What is -34644 times -384? 13303296 What is the product of -2 and -3.179656? 6.359312 Work out -6393 * 4.224. -27004.032 What is the product of -8932476 and 5? -44662380 Calculate -1375*28189. -38759875 Work out -150.0604 * 65. -9753.926 Calculate 944573*446. 421279558 What is 0.016 times -330531? -5288.496 Product of 58876 and -1.545. -90963.42 3 times -275.30971 -825.92913 Work out 660450 * 61. 40287450 Multiply -242.35522 and -1. 242.35522 Calculate 1.8*0.23408. 0.421344 1244245 * -7 -8709715 Multiply -0.0158 and -0.230338. 0.0036393404 What is -1469594 times -0.88? 1293242.72 Work out 36.2757 * 751. 27243.0507 Calculate -41862933*-10. 418629330 Work out -242980 * -0.156. 37904.88 -2 times 43098664 -86197328 -1919 times -1006 1930514 What is the product of 869 and -47264? -41072416 What is the product of 5 and 15157.168? 75785.84 -5347.3 * -0.0414 221.37822 Product of 2 and 3234.54. 6469.08 -215676633*0.2 -43135326.6 Calculate -2*88586965. -177173930 What is the product of 0.1 and -1023.19672? -102.319672 -0.04 * 6301524.6 -252060.984 Work out 13215 * -385. -5087775 Product of -588.77 and 4.2. -2472.834 Product of -258399 and -865. 223515135 0.014*2655 37.17 Multiply 0.142846 and 2034. 290.548764 Multiply -1021591 and -12. 12259092 What is the product of 6 and -821141.4? -4926848.4 What is -8.9753 times -90? 807.777 0.8607671*-0.19 -0.163545749 -4 times -22575693 90302772 Work out 1671252 * 3. 5013756 Calculate -470*-48.86. 22964.2 Product of -488467 and 0.37. -180732.79 0 times 17977021 0 Work out 1 * 0.185232509. 0.185232509 -2237334 times 1 -2237334 304039*68 20674652 Product of 2 and 0.056119205. 0.11223841 What is the product of -18519478.6 and -0.1? 1851947.86 -366 * 413783 -151444578 What is 4 times 11.06349? 44.25396 Work out -2052 * 203.97. -418546.44 -547735 * -48 26291280 Multiply 0.06 and -174.4528. -10.467168 What is 2460.6 times -711? -1749486.6 -308 times 0.17442 -53.72136 What is the product of -3 and 304112.4? -912337.2 -3603392197 * -0.4 1441356878.8 Calculate 1163104*-3. -3489312 Work out -367.3778 * 1. -367.3778 73.298 * 0.056 4.104688 Product of -73 and 14.04778. -1025.48794 -318 times -129.0359 41033.4162 Work out 96 * 139962. 13436352 What is 0.194 times 3129811? 607183.334 -589043.3*-4.5 2650694.85 20.917017*0.2 4.1834034 Work out -1089229 * 0.9. -980306.1 Work out 40980410 * 0.5. 20490205 Multiply 47.95929 and -0.18. -8.6326722 Calculate -9*-2.0261152. 18.2350368 Work out 1 * -51646779. -51646779 Calculate 4736*-414. -1960704 Work out -0.4 * -205642999. 82257199.6 Work out 7.59 * -14880. -112939.2 Work out -0.042 * 5037603. -211579.326 -26.00361 * -0.2 5.200722 What is -10696 times 224? -2395904 2 times -961.6511 -1923.3022 Multiply -84664719 and -0.5. 42332359.5 What is the product of 978 and -18945? -18528210 Calculate 373421*0.2748. 102616.0908 What is 10.9 times 13.8214? 150.65326 -405.41 * -3216 1303798.56 What is the product of -3 and 1.1778946? -3.5336838 5*-0.100271979 -0.501359895 Multiply 5 and -61415906. -307079530 -137858 * -653 90021274 5.8 times -688 -3990.4 What is the product of -299407720 and 0? 0 Work out -53.1 * 10710. -568701 -12550830.7*-0.1 1255083.07 -24460 * -0.42 10273.2 238049392*5 1190246960 What is the product of -1 and 1553443? -1553443 What is -10 times 726747? -7267470 Multiply -691382796 and 0.2. -138276559.2 Product of 237933071 and -4. -951732284 Multiply -0.1716 and 135.492. -23.2504272 15.6554 times -0.344 -5.3854576 What is the product of 1763220 and 26? 45843720 Work out 142881 * 23.98. 3426286.38 3.2925 * -83.1 -273.60675 What is 338.69752 times 0.2? 67.739504 What is the product of -62320293 and -3? 186960879 -494941.5*-146 72261459 What is the product of -199009754 and 0? 0 Product of -4 and 421337. -1685348 1728067 * 0.03 51842.01 -6.1*-10.295 62.7995 What is the product of 417.34 and -136.1? -56799.974 Work out 0 * 68008112. 0 -11545849*-5 57729245 -1580066 times -1 1580066 5614.09 * 14 78597.26 What is the product of -590226 and 0.091? -53710.566 What is the product of -0.07610288 and 6? -0.45661728 What is the product of 12345117 and -33? -407388861 Work out 11291 * 579. 6537489 0.55*-3461987 -1904092.85 Product of -0.4 and -0.05744819. 0.022979276 Work out -2.0991 * -5399. 11333.0409 Product of -797.3 and 12.91. -10293.143 What is the product of 64270 and -225? -14460750 Multiply -202 and 354886. -71686972 -14810.29 * -2 29620.58 Work out 0.4 * -382603. -153041.2 Multiply 2884208 and 0.3. 865262.4 Calculate -7283040*-10. 72830400 -4*-449514.39 1798057.56 0.5*0.84979254 0.42489627 Calculate 0.02*32005120. 640102.4 Calculate -0.2*-161856936. 32371387.2 Product of 49 and 163948. 8033452 What is 175021 times 0.23? 40254.83 Calculate 56449.3*-0.096. -5419.1328 -72987 * -2.93 213851.91 Product of -1129.9 and 0.0121. -13.67179 Multiply -0.06572 and 40.676. -2.67322672 Product of -9.578 and 1265. -12116.17 Multiply 149.26 and -2.9427. -439.227402 Product of 636066 and 0.189. 120216.474 -0.1 * 0.0958559 -0.00958559 140807*-2.5 -352017.5 1218245 times -386 -470242570 Work out 1232 * 541. 666512 Multiply 0.06 and -17175.889. -1030.55334 5*90793.25 453966.25 Multiply -0.48 and 1164.08. -558.7584 What is the product of -5719 and -28884? 165187596 Calculate 93243*-13. -1212159 Calculate -0.1661*-61791. 10263.4851 What is -1081.2 times 0.1203? -130.06836
{ "pile_set_name": "DM Mathematics" }
et s = 2.86 + 0.14. Sort 0.1, s, y. y, 0.1, s Suppose 0 = 2*w - 4*w - 2. Let x = 17 - 67/4. Put x, w, 5 in descending order. 5, x, w Suppose 3*m - 3*x + 3 = m, -6 = 3*m - 5*x. Let r be ((-21)/35)/(2/10). Let h be 8/6 + (-2)/6. Sort h, r, m in ascending order. r, h, m Let c = 1.4 + 0.6. Suppose h + 13 = -3*a - 3*h, h + 2 = -2*a. Let z be -8*(1 + a/(-2)). Put c, 1/6, z in increasing order. z, 1/6, c Let q(t) = -t**2 + 3*t. Let w be q(3). Put 7, w, 1 in increasing order. w, 1, 7 Suppose 5*o + 3*j = -24 + 7, 4*o = -j - 15. Suppose 4*k = -k. Let c be k/(-3) + 0 - -1. Put o, -1, c in ascending order. o, -1, c Let g(p) = p**3 - 11*p**2 + 11*p - 4. Let k be g(10). Suppose 3*a = -v - 6, 5*v + k + 10 = -a. Put a, 2, -5 in ascending order. -5, a, 2 Let z = -3.29 + 1.29. Sort 0, 2, z, 0.4 in decreasing order. 2, 0.4, 0, z Let g be 0 + 0 - (2 - 3). Let f be g/(27/6*1). Let s be 2/10*(-30)/(-24). Sort s, -0.4, f. -0.4, f, s Let x = 0.4 - -0.1. Let n = 2/221 - 456/1547. Sort n, x, 0.1 in descending order. x, 0.1, n Suppose -6 = -c - 0*c. Let f = c + -4. Suppose -f*h + 3*j + 12 = -2, -4*h + j = -8. Sort 5, h, 4 in ascending order. h, 4, 5 Let m(s) = -s**3 + 7*s**2 + 10*s - 8. Let d be m(8). Let x be (0 - -7)/(9 - d). Let y = 4 + -8. Put y, x, -2 in increasing order. y, -2, x Let t(v) = -2*v**2 - v + 19. Let z be t(3). Sort -6, -4, z in decreasing order. z, -4, -6 Let r(i) = i**2. Let q(p) = p**2. Let f = -5 + 9. Let h(z) = f*q(z) - 5*r(z). Let x be h(2). Put x, -2, 3 in decreasing order. 3, -2, x Let h be (-2 - (-12)/8)*2*1. Let n be (1 - (6 + 0)) + 0. Let f(c) = -c**2 - 7*c - 8. Let g be f(-6). Put h, n, g in increasing order. n, g, h Let z(u) = u - 4. Let q be z(-3). Let n = 10 + q. Suppose -3 = -w - 5. Sort 5, w, n in descending order. 5, n, w Suppose 0 = -5*g - 3 - 7. Let j be (-2)/((-2)/10*g). Put j, 0, -4 in decreasing order. 0, -4, j Let y = -0.8 + 0.5. Let k(l) = l**2 + 11*l - 6. Let n be k(-10). Let j be (-34)/(-4) + 24/n. Sort 0.4, y, j in increasing order. y, 0.4, j Let o = 51 - 44. Put 3, o, -2 in descending order. o, 3, -2 Suppose 2*a - 5 = -p + 5, 0 = a - p - 5. Suppose 5 = -5*h - a. Sort h, 1/9, -2/11. h, -2/11, 1/9 Let a = 8 + -5. Let t = -2/2243 - 11183/35888. Let n = t + -1/16. Sort n, -1, a. -1, n, a Let y(p) = 2*p + 3. Let w be y(6). Suppose 0 = -3*t - 2*t + w. Suppose 5*x - 3 - 7 = 0. Sort 1, x, t in decreasing order. t, x, 1 Let i = 1 + 0. Put 5, i, 0 in ascending order. 0, i, 5 Let c be (-2)/(-6)*(-3)/8. Let i = -0.012 - 0.188. Put 0.4, i, c in decreasing order. 0.4, c, i Let w = 583 + -392. Let u = -958/5 + w. Let j = 27 + -27.2. Sort u, j, 4. u, j, 4 Let k(g) = -g**3 + 10*g**2 + 4. Let n be k(10). Sort n, 3, 2 in decreasing order. n, 3, 2 Let r = 6.36 + -1.36. Sort r, -4, -2/11, -1/3 in increasing order. -4, -1/3, -2/11, r Let q be ((-2)/(-1))/(1/(-2)). Let w = 0.057 - -2.943. Sort q, -2/15, w. q, -2/15, w Suppose 3*v - 162 = -3*v. Put -5, v, -4, 2 in increasing order. -5, -4, 2, v Let g = -31/5 + 119/20. Sort -2, -0.2, g in ascending order. -2, g, -0.2 Let a(g) = -g**2 - 14*g - 32. Let m be a(-11). Sort -52, m, 2. -52, m, 2 Let g(q) = 2*q**2 - 2*q**2 + 0*q**2 - 3*q**2. Let i be (0 - (0 + -1))*-1. Let j be g(i). Put j, 0, -5 in decreasing order. 0, j, -5 Let c = -13/25 - -8/25. Sort 0.5, c, 4 in increasing order. c, 0.5, 4 Let v(p) = -p**3 - p**2 - 3*p - 1. Let r be v(-2). Let t be r/(-6)*2/(-5). Put -3/7, 0.2, t in descending order. t, 0.2, -3/7 Let r = 2 + -4. Let q = -4 + 1. Let b = 2.8 + q. Sort r, b, -2/7 in descending order. b, -2/7, r Let p = 145 - 144. Sort 4, -4, p, -0.1 in increasing order. -4, -0.1, p, 4 Let x = 4.1 - -0.9. Let i(l) = l. Let b be i(-4). Let k = b + 6. Put k, -0.1, x in descending order. x, k, -0.1 Suppose 4*w = 9*w. Suppose q + 2*q = w. Put 4, q, 5 in decreasing order. 5, 4, q Let g = -4 + 10. Suppose 0 = 3*b - 5*b - g. Let v = b - 0. Sort v, -2, -5. -5, v, -2 Let f be (0 - 4)/(-10 - -14 - 3). Let w(u) = u**3 - 2*u**2 - 2*u - 4. Let t be w(3). Sort t, 1, f in ascending order. f, t, 1 Let n(x) = -x + 5. Let g(q) = -q**2 + 3*q + 4. Let b be g(4). Let d be n(b). Suppose 3*k - 7 - d = 0. Put -5, k, 1 in descending order. k, 1, -5 Suppose -5*y - 10 = 3*r, 0 = 3*r - 2*r - 5*y + 10. Let j = 21 + -19. Let a = j - 1.7. Sort r, 3, a in descending order. 3, a, r Suppose 1 = k + x + 2, -5*k + 5*x + 45 = 0. Suppose 0 = -3*d + 6 + 12. Suppose 2*h + 0 = -d. Sort k, h, -5 in increasing order. -5, h, k Let g be (-1)/(-4) + 153/(-36). Sort 3, 6, g in decreasing order. 6, 3, g Let o = -47/3 - -173/12. Sort 1, -2, o, 1/4 in decreasing order. 1, 1/4, o, -2 Let u(i) = -3*i + 1. Let j be u(-5). Sort 2, 4, j in increasing order. 2, 4, j Suppose -8 = -4*h + 4*r, 4*h + 1 = 7*h - 4*r. Sort 4, h, -1, -2 in decreasing order. h, 4, -1, -2 Let w(y) = -2*y + 4. Let m be w(6). Let r = -6 - m. Let z be 20/(-65)*r/(-4). Put -1, z, -0.4 in ascending order. -1, -0.4, z Let p(v) = v**2 + v - 4. Suppose -3*d + 12 = -7*d. Let x be p(d). Sort x, 4, 5 in descending order. 5, 4, x Let w be -1 + 4/(-22) + 38/88. Let m = -2 - -1.8. Let d = -0.3 - m. Put d, 0.2, w in descending order. 0.2, d, w Let v = -2.8 + 3. Let h = 11 - 11. Let a be 2*-3*3/(-126). Put v, h, a in ascending order. h, a, v Let s = 55/48 + 3/16. Let r = 9.7 - 5.7. Put -5, r, s in decreasing order. r, s, -5 Let g = 55 + -55. Put g, 1, -4 in ascending order. -4, g, 1 Suppose -3 = -4*c + 3*k + 1, 0 = 4*c - 4*k. Suppose 0 = c*x - x - 3, -4*x + 12 = 4*l. Sort -2, 0, l. -2, 0, l Let i = 0.53 - -9.97. Let u = i - 10. Sort -1/2, u, 1/3. -1/2, 1/3, u Let x(r) = -r**2 + 3*r + 2. Let i be x(0). Sort 1, 3, 4, i in ascending order. 1, i, 3, 4 Suppose y + 3 - 22 = -3*t, 0 = -4*y + 4. Let h = -3 + t. Suppose b = 4*r - 18, -4*r - h*b = -0*r - 10. Put 2, r, 5 in decreasing order. 5, r, 2 Suppose -3*q + 4*q = -4. Sort q, 1, 2. q, 1, 2 Let k be (4/(-2))/(1/2). Suppose 0 - 20 = -3*q + 5*z, 3*z + 24 = 3*q. Let p be 15*(q/6 - 2). Sort -1, p, k in decreasing order. -1, k, p Let l(f) = -f**2 - 5*f - 6. Let g be l(-4). Suppose 2*y - 1 = 1. Let j = -1 - -1. Sort g, y, j. g, j, y Let c(o) = o**3 - 3*o**2 - 5*o + 3. Let z be c(4). Put 2/13, z, 0.4, 0.3 in descending order. 0.4, 0.3, 2/13, z Let y(w) = -w**3 + 8*w**2 + 11*w - 14. Let l be y(9). Suppose -m - 5*n = -2*n - 4, n = -3*m - 4. Let h = -2.93 + -0.07. Sort l, m, h in descending order. l, m, h Let f = 19 + -20. Let m = -6 - f. Sort m, -2, 1 in descending order. 1, -2, m Let k(v) = -v + 10. Let z be k(5). Suppose 5*j - 5 = -6*i + i, 5*j = -3*i + 9. Sort z, -5, j. -5, j, z Suppose -z = -a + 20, 2*a + 5*z + 40 = 4*a. Suppose -5*p + 2 = 3*k, -5*p + p = -3*k + a. Let i be (-2)/18*-3*(-1 + 4). Put p, 4, i in decreasing order. 4, i, p Let u(h) = h**3 + 7*h**2 + 5*h - 3. Let r be u(-6). Suppose -y = -5*i - 22, -3*i - y = r*y + 4. Suppose 0 = -2*v + 4 - 14. Put v, -1, i in ascending order. v, i, -1 Let y be (4/6)/(5/15). Let f be ((-3)/6)/1*y. Let d = f + 0. Put d, 4, 1 in descending order. 4, 1, d Let l = -8 + 12. Let j be 0/3*2/(-4). Suppose j = 4*r - 0*r - 4. Sort l, r, 3. r, 3, l Let o = 67/207 - 10/23. Sort 0.14, 3, o in decreasing order. 3, 0.14, o Let k = 1.32 - 1.3. Suppose -3*v - 4 = v. Sort k, v, 0.2 in descending order. 0.2, k, v Let d = 19 - 28. Let q be (6/d)/((-8)/(-9)). Let r = 0.2 + -0.1. Sort r, q, 3/4. q, r, 3/4 Suppose 4*g + 13 = 5. Let q = 0 + -1.6. Let d = -0.6 - q. Sort 0.2, d, g in decreasing order. d, 0.2, g Let c = 117 + -471/4. Sort 0.3, c, 0.046, 1/3 in increasing order. c, 0.046, 0.3, 1/3 Suppose 0 = -n + 3*b + 12, -4*n + 3*b = 5 - 17. Suppose -4*o + 8 + 8 = n. Suppose -o*i + 2 = -6*i. Put i, 4, -2 in descending order. 4, i, -2 Let m = -5 + 5. Sort m, 8, 2 in increasing order. m, 2, 8 Let w(c) be the first derivative of c**2 + 2*c - 1. Let i be w(-2). Suppose -4*g + 6*g - 6 = 0. Sort i, g, -4 in decreasing order. g, i, -4 Let a be (12/8)/(1/10). Suppose -2*h - a = -7*h. Suppose 0 = -v + 1 - h. Sort v, 5, -5 in descending order. 5, v, -5 Let p = 78 + -82. Put p, 4, 3, 0 in descending order. 4, 3, 0, p Let s(i) = -i. Let j be s(-5). Suppose 26 = j*t + 6. Let q = 39 - 38. Sort q, 0, t. 0, q, t Let x(b) = -3*b + 49. Let n be x(16). Suppose 3*r = 4*r + 2. Put r, -1, n in descending order. n, -1, r Let v = 5.4 - 5. Put 0.5, -2, v, 5 in in
{ "pile_set_name": "DM Mathematics" }
n two letters picked without replacement from ijeesijejieejjjej? 3/68 Calculate prob of picking 2 b and 1 n when three letters picked without replacement from {n: 1, p: 1, o: 5, b: 6, i: 1}. 15/364 Calculate prob of picking 2 g when two letters picked without replacement from {h: 1, m: 2, g: 8, f: 5}. 7/30 Four letters picked without replacement from {f: 3, a: 3, x: 3, e: 1, o: 2, v: 1}. Give prob of picking 1 a, 1 f, 1 e, and 1 v. 9/715 Three letters picked without replacement from qxekqijx. What is prob of picking 1 x and 2 q? 1/28 Two letters picked without replacement from {l: 4}. Give prob of picking 2 l. 1 Four letters picked without replacement from poojpjjpjj. What is prob of picking 2 p and 2 o? 1/70 Four letters picked without replacement from {f: 2, z: 1, r: 3, j: 1, x: 5}. What is prob of picking 2 r, 1 f, and 1 z? 2/165 Four letters picked without replacement from bxuaxlwwwuwwxwx. Give prob of picking 1 w, 1 a, and 2 b. 0 Calculate prob of picking 1 j and 1 d when two letters picked without replacement from ppjdttdtalapjja. 2/35 Four letters picked without replacement from yyqyqqqyqs. Give prob of picking 3 q and 1 s. 1/21 Four letters picked without replacement from iuuuuuuuuuuuuyuu. What is prob of picking 2 i, 1 u, and 1 y? 0 Two letters picked without replacement from {v: 2, q: 2}. Give prob of picking 1 q and 1 v. 2/3 Calculate prob of picking 4 c when four letters picked without replacement from {c: 7}. 1 Calculate prob of picking 2 g when two letters picked without replacement from {a: 3, y: 1, g: 4}. 3/14 Four letters picked without replacement from tttttttpttppttptttp. What is prob of picking 3 t and 1 p? 455/969 Calculate prob of picking 1 k, 2 x, and 1 z when four letters picked without replacement from zyzxkkxzkzkyxxxykyn. 50/969 Three letters picked without replacement from {i: 9}. What is prob of picking 3 i? 1 What is prob of picking 1 z, 1 q, and 2 p when four letters picked without replacement from {b: 1, p: 5, z: 2, q: 1}? 10/63 What is prob of picking 1 h and 1 d when two letters picked without replacement from dddhheooho? 1/5 Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xttttxtxtx. 3/10 What is prob of picking 2 p and 1 s when three letters picked without replacement from ppjpsjsjsjpppk? 45/364 Calculate prob of picking 4 l when four letters picked without replacement from lililluxmllxpupiupu. 5/1292 Three letters picked without replacement from uukukku. What is prob of picking 3 u? 4/35 What is prob of picking 1 d, 1 t, and 1 y when three letters picked without replacement from tafdy? 1/10 Two letters picked without replacement from {q: 12, e: 1, j: 1}. Give prob of picking 1 q and 1 e. 12/91 What is prob of picking 1 g, 2 d, and 1 c when four letters picked without replacement from {b: 1, h: 2, c: 3, d: 3, g: 1, n: 3}? 9/715 Four letters picked without replacement from {s: 1, z: 4, d: 4, y: 2}. What is prob of picking 2 z, 1 y, and 1 s? 2/55 Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vyxyuyevxvxgxyxygxee. 3/38 Two letters picked without replacement from {z: 7, l: 3, p: 2}. Give prob of picking 2 p. 1/66 Two letters picked without replacement from {d: 6}. What is prob of picking 2 d? 1 Four letters picked without replacement from {v: 2, p: 2, t: 5, r: 3}. Give prob of picking 1 t, 2 r, and 1 p. 2/33 Two letters picked without replacement from {v: 5, u: 5, g: 5, z: 2, t: 3}. What is prob of picking 1 u and 1 v? 5/38 What is prob of picking 2 l, 1 b, and 1 n when four letters picked without replacement from nnrfbll? 2/35 What is prob of picking 2 e and 2 l when four letters picked without replacement from {l: 2, e: 5, g: 8}? 2/273 What is prob of picking 1 n, 1 t, and 1 s when three letters picked without replacement from {t: 2, b: 1, n: 2, e: 1, s: 4}? 2/15 Four letters picked without replacement from {d: 9}. Give prob of picking 4 d. 1 Four letters picked without replacement from bbcfb. Give prob of picking 1 f and 3 b. 1/5 Calculate prob of picking 2 y when two letters picked without replacement from {y: 10, g: 2}. 15/22 Three letters picked without replacement from {g: 2, b: 4, o: 5}. What is prob of picking 2 g and 1 o? 1/33 What is prob of picking 3 i and 1 d when four letters picked without replacement from {i: 6, d: 2}? 4/7 Four letters picked without replacement from lyyffylfyllfyfllllyy. What is prob of picking 4 y? 7/969 Three letters picked without replacement from tfvwtooototofttwowt. What is prob of picking 3 t? 35/969 What is prob of picking 3 a when three letters picked without replacement from waraagapa? 5/42 Two letters picked without replacement from {c: 1, t: 2, r: 2, p: 1}. Give prob of picking 1 c and 1 t. 2/15 Calculate prob of picking 3 v when three letters picked without replacement from vqqqqqqqqqqvqqqvqqqq. 1/1140 Three letters picked without replacement from luuuflflmc. Give prob of picking 1 m and 2 f. 1/120 What is prob of picking 1 w and 3 k when four letters picked without replacement from wwkwkhwhkwwwwwwk? 2/91 Calculate prob of picking 1 w and 3 c when four letters picked without replacement from {w: 7, c: 7}. 35/143 What is prob of picking 1 b and 1 i when two letters picked without replacement from pib? 1/3 Three letters picked without replacement from ewweweewwwwppwwwzy. What is prob of picking 2 w and 1 e? 15/68 Two letters picked without replacement from {w: 6, n: 6, h: 2, l: 3, g: 1}. What is prob of picking 2 l? 1/51 What is prob of picking 2 i when two letters picked without replacement from {c: 1, s: 7, i: 5, a: 3}? 1/12 Two letters picked without replacement from ooooorrrorrrrrooor. What is prob of picking 2 o? 4/17 Calculate prob of picking 2 o when two letters picked without replacement from jqooovqvqqqoooqoqo. 28/153 Calculate prob of picking 1 v and 2 a when three letters picked without replacement from duuvvjavaujvrrujjuuu. 1/285 What is prob of picking 2 z and 1 f when three letters picked without replacement from {z: 4, h: 2, f: 8}? 12/91 Two letters picked without replacement from ugguggggg. What is prob of picking 2 u? 1/36 Calculate prob of picking 1 d and 1 l when two letters picked without replacement from zbudlbkdblbzzbkkbb. 4/153 What is prob of picking 2 p when two letters picked without replacement from xxpvpjjjj? 1/36 Three letters picked without replacement from ryyyyryyyryy. What is prob of picking 3 y? 21/55 Three letters picked without replacement from {a: 3, e: 2, c: 4, q: 6, u: 2}. What is prob of picking 1 u, 1 e, and 1 q? 3/85 Three letters picked without replacement from gmmmmmmivjmkmjmigkmk. Give prob of picking 1 m and 2 j. 1/114 Calculate prob of picking 1 b and 1 v when two letters picked without replacement from bpbvvpbvpbppppv. 16/105 Four letters picked without replacement from {g: 1, n: 1, k: 1, x: 8, w: 3, e: 2}. What is prob of picking 1 x, 1 w, 1 g, and 1 e? 12/455 What is prob of picking 1 s and 1 z when two letters picked without replacement from zzzszzszszss? 35/66 Two letters picked without replacement from hhlhhhhhlhhhh. Give prob of picking 2 l. 1/78 Two letters picked without replacement from ppjpwpjjwppwjjpp. What is prob of picking 1 p and 1 j? 1/3 Four letters picked without replacement from xyyyyyxyceyyyyyceyy. Give prob of picking 2 e, 1 c, and 1 x. 1/969 What is prob of picking 2 q when two letters picked without replacement from {q: 3, s: 8}? 3/55 Four letters picked without replacement from {c: 3, x: 12}. Give prob of picking 3 c and 1 x. 4/455 Four letters picked without replacement from ffkkffkkffffkf. What is prob of picking 4 k? 5/1001 Two letters picked without replacement from foffhfhfffffo. Give prob of picking 1 o and 1 h. 2/39 Calculate prob of picking 4 s when four letters picked without replacement from ssvsssssssvsssvsvs. 1001/3060 What is prob of picking 2 i when two letters picked without replacement from iiei? 1/2 Three letters picked without replacement from {e: 3, r: 15, w: 2}. Give prob of picking 1 e and 2 r. 21/76 Two letters picked without replacement from zaaaaazaazllazs. Give prob of picking 1 l and 1 z. 8/105 Calculate prob of picking 1 h and 1 x when two letters picked without replacement from hddhdhhh
{ "pile_set_name": "DM Mathematics" }
*-1? 66 Let s(p) = 5723*p**3 - p**2 + 2*p - 1. Let o be s(1). Let h be 1/(-18)*-102967 - 0. Let n = o - h. Find the common denominator of n and -61/12. 36 Suppose 378 = i + 13*i. Calculate the least common multiple of 6 and i. 54 Let n(a) = 120*a - 2. Let z be n(4). Calculate the common denominator of (-2)/(-6) + z/132 and (-4)/2 + (-81)/144. 176 Let g = -1/226 - -4861/452. Let c(z) = -z + 8. Let q be c(6). Suppose -y + q = -19. What is the common denominator of y and g? 4 Let z(o) = o**2 - 6*o - 10. Let x be z(7). What is the common denominator of (-1 - x) + 315/(-50) and -79/36? 180 Let w(y) = y**3 + 20*y**2 - 24*y - 36. Calculate the least common multiple of 6 and w(-21). 54 Let i be 18/4 + 2/(-4). Suppose 3*q + 4*y = i*q - 12, 3*y = -12. What is the least common multiple of -4*2/q + 20 and 6? 66 Calculate the smallest common multiple of 14 and (-6 - (-202)/8) + (-6)/(-8). 140 Let y be (-4)/10 + 34/10. Suppose -56 = -7*u + y*u. Let b = -2 + 14. What is the lowest common multiple of u and b? 84 Suppose -11*g + 22*g = 308. What is the lowest common multiple of g and 7? 28 Suppose -4*c + 88 = -r, 7*c - 3*c - 88 = 4*r. What is the common denominator of -61/6 and c/8 + -3 + -12? 12 Let i = -1/5103 + -107152/56133. Let c = 12705/4 + -3199. Find the common denominator of c and i. 44 Suppose 0 = -5*p - h + 111, 0 = 3*p - 4*h + 1 - 63. What is the smallest common multiple of 14/4*(-40)/(-7) and p? 220 Let p be (-70)/(-55)*(-9142)/3284. Let v = p + -2/821. What is the common denominator of v and (-5)/(-15) - 368/(-30)? 55 Let o = 265/66 + -90/11. Calculate the common denominator of o and 99/10. 30 Calculate the common denominator of 79/6 and (-1095)/(-216) + 8/36. 24 Let f = 5494 - 11394. Let c be 94270/16 + 2/(-8). Let b = f + c. Calculate the common denominator of 53/6 and b. 24 Suppose -3*x = n + 3 - 8, 5*n + 5 = -5*x. Suppose -3*q - 4*k = -120, x = -k - 0*k. What is the lowest common multiple of q and 2? 44 Find the common denominator of -7 + 4 - (-7)/(-4) and 93/8. 8 Let w be 1 - (1 - 2/(-2)). Let x(s) = 3*s**3 - s**2. Let o be x(-1). What is the smallest common multiple of 10 and (5*w)/(1/o)? 20 Suppose -w - 3 = -2*w. Let o be (3/w)/(1/2). What is the common denominator of (-340)/(-32) + (-1)/o and 71/22? 88 Let t = 322685/127 + -2541. Let x be (1294/(-508))/((-6)/(-22)). Let b = x - t. Calculate the common denominator of b and 19/4. 12 Let y = 1036 - 6343/6. Let d = -21 - y. Find the common denominator of ((-6)/4)/((-15)/31) and d. 30 Let g = -8684 - -121489/14. Calculate the common denominator of 3/14 and g. 14 Let p be 3/((2 - 2) + 1). Suppose -p*z + 5*z - 8 = 0. Suppose y - 100 = -z*y. What is the lowest common multiple of 10 and y? 20 Suppose k - 16 = 4*b - 0, k = -2*b - 2. Find the common denominator of 31/2 and 59/b*1/(-2). 6 Suppose 4*j = -2*g - 10, 4*g - 3*g + 13 = -4*j. Suppose -2*x + 22 = 4*b, g*x - 6*x + 27 = 5*b. What is the lowest common multiple of 18 and (5/4)/(b/48)? 90 Suppose -t - q - 63 = -0*q, t = q - 69. Calculate the least common multiple of -3*(-1 + (-1)/(-3)) and t/(-15) - (-4)/(-10). 4 Suppose 0 = x + x - 42. Let m = x + -12. Calculate the lowest common multiple of 1 and m. 9 Suppose 7*j - 21 = 7. Suppose 0 = 2*m - 2*a - 28, -j*m + a = 2*a - 46. What is the smallest common multiple of m and 6? 12 Let s be ((-42)/((-3)/1))/(-2). Let t = -4 - s. Calculate the least common multiple of 5 and t. 15 Let k = -983/4 - -251. Calculate the common denominator of k and 99/2. 4 Find the common denominator of (-2)/(-6) + (2 - (-55)/(-4)) and -41/24. 24 Calculate the common denominator of 243/21 - (-3 - -7) and (-2)/9 - (-14)/6. 63 Let r be 9/6 + 2/4. Suppose 2*v = -r*v + 952. Calculate the common denominator of -91/16 and 6/3 - v/12. 48 Suppose 40 = 3*p + 5*p. Suppose -39 = -5*k + 11. What is the least common multiple of p and k? 10 Let f = -576017/22 - -26178. Find the common denominator of f and -79/22. 22 Let i = 96 + -87. Calculate the least common multiple of i and 16. 144 What is the common denominator of -85/22 and 26/((-6)/(-4)*160/(-36))? 110 Suppose -b + s = -11, -21 = 2*b + s - 55. What is the smallest common multiple of 5 and b? 15 Suppose 2*p + 138 = -3*o + p, -4*o + 4*p - 200 = 0. What is the common denominator of 40/7 and o? 7 Let l = 44 + -28. Suppose -20 + 0 = -5*d. What is the lowest common multiple of d and l? 16 Calculate the lowest common multiple of 4 and (52/(-8) + 4)*-20. 100 Let p(w) = w**2 - 6*w + 4. Suppose -12 = -4*y + 5*o - o, 4*y - 5*o = 9. What is the smallest common multiple of p(6) and y? 12 Let q be (-3)/8*(9 + 1448). Let h = q + 553. What is the common denominator of (-2)/6*(-30)/(-32) and h? 16 Let m be 40/18 + 10/(-45). Suppose a - 5 = -m*c, -6*c = 3*a - c - 13. Calculate the least common multiple of a*(-2 - -9) + 1 and 5. 40 Suppose -3*w = -5*j + 37, 5*j + 5*w - 6*w = 39. Calculate the least common multiple of j and 4. 8 Let s be (1 - 0 - 0) + 8. Find the common denominator of (-49)/33 - s/27 and 6/(-15) - 9/40. 88 Let t(r) = -11*r + 1. What is the lowest common multiple of t(-1) and 12? 12 Let z be ((-20)/(-8))/5*-1150. Let h = 2277/4 + z. Let j = -167/12 - -17. What is the common denominator of h and j? 12 Calculate the common denominator of (-2 - (-78)/38)*6/(-4) and -151/12. 228 Suppose 8*b - 61 = 11. Calculate the least common multiple of 7 and b. 63 Suppose 4*b - 64 = 2*f, -7 = -b - 0*f + 5*f. Let d = b + -79. What is the common denominator of 41/6 and -2 + 4 - d/6? 6 Let g(t) = -t**2 + 7*t - 6. Let z be g(4). Calculate the common denominator of (39/(-572))/(z/(-116)) and -109/12. 132 Let p = 1833487/194 + -9451. Let i = p + -8847/2134. Calculate the common denominator of i and -65/9. 99 Let d = 155/2 + -81. Find the common denominator of -95/22 and d. 22 What is the least common multiple of ((-4)/12)/((-2)/12) and 9? 18 What is the common denominator of 16/(-40) - (-957)/180 and 55/12? 12 Let a be (-10)/15 - (-93974)/66. Let i = a - 1422. What is the common denominator of i and (34/12)/(5/10) - 2? 33 Let r be (9/12)/(2/8). Suppose 3*h = -0*h + r. Let u = h - 0. What is the least common multiple of u and 7? 7 Suppose -b = -0*b - 14. What is the common denominator of -91/8 and -2 - ((-3)/b)/(-1)? 56 Let b(c) = -c**3 - 6*c**2 + 5. Let d be b(-5). Let k = -12 - d. What is the lowest common multiple of k and 2? 8 Suppose 0 = i + 3*m - 23, m - 96 = -5*i + 5*m. Calculate the smallest common multiple of 5 and i. 20 Let k = 32/21 - -155/7. Calculate the common denominator of k and 69/62. 186 Find the common denominator of 79/24 and ((-840)/40)/((-8)/3). 24 Let p = 15858 - 253823/16. What is the common denominator of -37/28 and p? 112 Suppose -3 = 4*c - 2*v - 9, 4*c - 12 = -4*v. What is the least common multiple of 4 and c? 4 Let t be (24/100)/(16/110). Let z = t - 577/180. Find the common denominator of z and (-1)/(-3)*246/4. 18 Let n = -11841/8 - -1488. What is the common denominator of n and (1/1)/((-2)/23)? 8 Let v(p) = -2*p. Let d(q) = 5*q. Let n(s) = -3*d(s) - 8*v(s). Let f be n(4). Find the common denominator of 43/10 and ((-5)/f - -1) + 0. 20 Let p = -3 - -1. Let r be (1 + -1)/(p - -1). Suppose i - 9 - 1 = r. What is the least common multiple of 14 and i? 70 Suppose -3*w + u = -9, w - 35 = -4*w - 5*u. Let s = w - 2. Suppose -2*g = 2*f - 26, 3*f = -0*g + 4*g + 18. Calculate the least common multiple of s and f. 10 Let k = 20727/3016 + 1/377. What is the common denominator of k and (-4)/64*(-1 + 39)? 8 Suppose 4*r - d + 0*d - 63 = 0, 0 = 3*r - 5*d - 43. What is the least common multiple of 20 and r? 80 Let b(z) = z**2 - 3*z + 1. Let q be b(4). Let v = -6 + 10. Calculate the smallest common multiple of 10/3*(q - 2) and v. 20 Let s = 16 + -5. Let n = s - 8. Suppose -n*d = -20 - 10. What is the smallest common multiple of 9 and d? 90 What is the lowest common multiple of 14 + -2 + (0 - 2) and 4? 20 Let t be 2 - ((-3 - -1) + 2). Calculate the common denominator of (-305)/90 - (-2)/t and -79/26. 234 Let t be (-5 + 2)*10/(-6). Suppose 0 = n + 5, -t*m + 4*n - 120 = -0*m. What is the common denominator of 10/9 and 8/m - 585/(-14)? 18 Let z be ((-1)/877)/(2/12). Let a = z - 53365/19294. What is the common denominator of a and -67/18? 198 Let x be (-1931)/222 - 2/6. Let c = x + -42/37. Let l = -11
{ "pile_set_name": "DM Mathematics" }
2 + 105*y - 1267. Give j(14). 7 Let m(v) = v**3 + 11*v**2 + 57*v + 347. Determine m(-9). -4 Let r(b) = -21*b - 149. Calculate r(-6). -23 Let n(l) = l**3 - 5*l**2 + 12*l - 9. What is n(4)? 23 Let v(m) = -7*m**3 + 57*m**2 - 25*m + 110. Determine v(8). -26 Let q(m) = 33*m + 189. Determine q(-9). -108 Let w(j) = -j**3 - 27*j**2 - 184*j - 22. Calculate w(-14). 6 Let z(h) = -3*h**2 - 65*h - 183. Calculate z(-18). 15 Let o(a) = -a**2 + 57*a - 165. Calculate o(46). 341 Let m(t) = -3*t**3 - 150*t**2 - 15*t - 760. What is m(-50)? -10 Let t(g) = -g**3 + 124*g**2 - 160*g + 4542. Calculate t(123). -9 Let l(o) = -2*o**2 + 10*o - 33. Calculate l(6). -45 Let p(u) = 6*u**3 + 24*u**2 + 61*u - 7. Determine p(-3). -136 Let x(v) = 207*v + 33. Determine x(1). 240 Let r(j) = 52*j + 551. Determine r(-12). -73 Let o(x) = x**3 - 51*x**2 - 165*x + 130. Calculate o(54). -32 Let j(l) = -l**2 + 58*l + 382. Give j(-6). -2 Let n(g) = g**3 + 54*g**2 + 3*g + 161. Give n(-54). -1 Let g(c) = -c**3 - 22*c**2 - 23*c - 52. What is g(-21)? -10 Let y(w) = -1521*w - 10669. What is y(-7)? -22 Let t(j) = 2*j**3 - 74*j**2 + j - 44. What is t(37)? -7 Let t(f) = -15*f**2 + 2*f - 1. Give t(2). -57 Let b(m) = -m**2 + 66*m - 1079. Determine b(31). 6 Let m(q) = -q**3 - 16*q**2 - 60*q - 1. What is m(-10)? -1 Let y(o) = o**2 - 17*o + 7. Give y(12). -53 Let x(i) = 8*i**2 + 72*i - 24. What is x(-10)? 56 Let r(s) = 103*s - 3296. What is r(32)? 0 Let j(l) = -5*l + 60. Determine j(-3). 75 Let d(u) = -32*u + 792. Calculate d(25). -8 Let k(z) = -3*z**2 - 31*z - 43. Determine k(-11). -65 Let j(v) = -11*v**3 - 229*v**2 + 46*v + 23. What is j(-21)? -61 Let x(m) = 28*m + 2790. What is x(-100)? -10 Let b(q) = 31*q + 39. Determine b(2). 101 Let l(g) = -g - 27. Give l(-35). 8 Let m(w) = -w**3 - 14*w**2 - 50*w - 23. What is m(-6)? -11 Let g(z) = -4*z**2 + 12*z + 6. Determine g(4). -10 Let n(x) = 34*x - 159. Give n(5). 11 Let y(z) = 61*z - 423. Calculate y(7). 4 Let i(u) = -8*u**2 + 22*u + 70. Give i(-2). -6 Let c(w) = -30*w - 10. What is c(-1)? 20 Let p(w) = -w**3 + 37*w**2 - 38*w + 46. Determine p(36). -26 Let f(z) = -2*z**2 + 25*z + 47. Give f(-2). -11 Let m(h) = 99*h + 621. Give m(-6). 27 Let r(u) = -2*u**2 - 61*u + 3816. Determine r(31). 3 Let l(p) = -8*p**2 - 109*p - 98. Give l(-13). -33 Let g(z) = 9*z + 384. Calculate g(-47). -39 Let g(j) = 25*j**3 - 447*j**2 - 53*j - 30. Determine g(18). -12 Let c(o) = o**3 + 24*o**2 + 59*o - 43. Calculate c(-21). 41 Let k(z) = -1276*z - 7661. Calculate k(-6). -5 Let s(r) = 517*r + 2559. Calculate s(-5). -26 Let f(i) = i**3 - 2*i**2 + 8*i + 18. Give f(-3). -51 Let h(z) = 149*z - 433. Calculate h(3). 14 Let d(s) = 12*s**2 - 823*s - 321. Calculate d(69). 24 Let r(l) = -1090*l + 21794. Calculate r(20). -6 Let h(v) = -17*v**3 - 135*v**2 + 201*v + 1549. Determine h(-8). 5 Let c(g) = g**2 + 40*g - 43. What is c(-20)? -443 Let m(r) = 186*r - 1. Determine m(3). 557 Let c(r) = 13*r**2 + 9*r + 14. Determine c(-1). 18 Let d(b) = -7*b**3 + 9*b**2 - 35*b + 2. Give d(4). -442 Let u(j) = 10*j**3 - 5*j**2 - 30*j - 24. Calculate u(-4). -624 Let b(y) = 1417*y - 437854. Calculate b(309). -1 Let k(x) = -x**2 + 19*x + 60. Determine k(-3). -6 Let m(s) = -s**3 - 18*s**2 - 18*s - 332. Calculate m(-18). -8 Let i(a) = -11*a**2 + 6*a + 8. Give i(-2). -48 Let m(f) = f**3 + 19*f**2 - 3*f + 70. Calculate m(-19). 127 Let d(p) = 159*p - 5397. Determine d(34). 9 Let f(p) = 11*p**2 - 32*p + 30. Give f(1). 9 Let v(w) = 86*w - 1882. Determine v(16). -506 Let s(y) = -y**3 - 20*y**2 - 97*y - 70. Determine s(-13). 8 Let k(i) = 78*i + 253. Calculate k(-8). -371 Let k(m) = m**3 - 72*m**2 + 85*m + 3845. What is k(70)? -5 Let v(d) = -d**3 + 15*d**2 + 47*d - 31. What is v(8)? 793 Let h(u) = 101*u**2 + 611*u + 36. Determine h(-6). 6 Let g(b) = 5*b**2 - 182*b - 58. Give g(37). 53 Let m(x) = -x**2 - 2*x + 3. What is m(-1)? 4 Let n(c) = 259*c - 6736. Calculate n(26). -2 Let n(f) = -308*f - 2663. What is n(-9)? 109 Let z(n) = -n**3 + 28*n**2 + 6*n - 939. Calculate z(27). -48 Let j(a) = -32*a + 62. Determine j(2). -2 Let y(i) = -i**3 + 9*i**2 - 7*i - 30. Give y(5). 35 Let q(r) = -65*r**2 - 7*r - 9. What is q(-2)? -255 Let s(u) = -64*u - 958. Calculate s(-14). -62 Let a(o) = -o**2 + 54*o - 216. Determine a(4). -16 Let s(o) = -o**2 + 100*o - 2197. Calculate s(35). 78 Let k(f) = -f**2 + 35*f - 217. What is k(7)? -21 Let h(y) = 10*y**3 + 7*y**2 - 18*y + 6. Give h(2). 78 Let g(l) = -l**3 - 7*l**2 + 39*l + 39. What is g(-12)? 291 Let w(a) = 5*a**3 + 2*a**2 - 6*a + 1. What is w(-2)? -19 Let y(j) = -2*j**2 + 54*j + 2. What is y(27)? 2 Let c(n) = -2*n**2 + 16*n + 34. What is c(10)? -6 Let c(f) = -2*f**3 - 16*f**2 - 10*f + 14. Give c(-9). 266 Let w(v) = -v**3 - 17*v**2 + 64*v + 104. Determine w(4). 24 Let d(i) = -i**3 + 26*i**2 - 18*i - 717. What is d(24)? 3 Let v(a) = 153*a - 5805. Give v(39). 162 Let k(r) = 2*r**2 - 112*r + 317. Calculate k(3). -1 Let n(i) = 7*i**2 + 90*i + 77. Determine n(-12). 5 Let o(h) = h**3 + 33*h**2 + 35*h + 85. What is o(-32)? -11 Let g(y) = y**3 - 3*y**2 - 4*y - 1. What is g(8)? 287 Let d(w) = -w**3 + 30*w**2 - 28*w + 66. Determine d(29). 95 Let z(a) = 693*a - 9699. What is z(14)? 3 Let o(g) = -9*g**2 - 41*g + 336. Determine o(6). -234 Let k(t) = -392*t**2 - 17*t + 19. Calculate k(1). -390 Let h(o) = o**2 - 14*o - 55. Calculate h(21). 92 Let l(d) = 21*d**3 + 2836*d**2 + 132*d - 391. Calculate l(-135). 14 Let v(x) = x**3 - 7*x**2 - 10*x + 29. What is v(8)? 13 Let v(y) = -3*y**2 - 42*y + 82. Calculate v(2). -14 Let k(b) = -b**3 - 137*b**2 + 710*b + 22. Calculate k(-142). 22 Let g(r) = -r**2 - 35*r + 331. What is g(-43)? -13 Let f(m) = -m**3 + 5*m**2 + 19*m - 53. Calculate f(2). -3 Let k(s) = -93*s - 3170. Determine k(-33). -101 Let b(d) = d + 2. Give b(-17). -15 Let x(y) = -4*y - 22. What is x(-18)? 50 Let u(b) = -b**2 + 93*b - 604. Determine u(7). -2 Let q(k) = 64*k - 2737. Give q(43). 15 Let c(y) = y**2 + 1044*y + 220502. Determine c(-294). 2 Let a(i) = -i**2 - 2*i + 56. Give a(6). 8 Let y(n) = n**3 - 78*n**2 - 240*n - 413. Calculate y(81). -170 Let c(v) = 39*v**2 + 434*v - 873. Give c(2). 151 Let d(n) = -45*n**2 - 8*n - 3. What is d(-1)? -40 Let x(r) = -r**3 + r**2 - 35*r + 366. Calculate x(0). 366 Let i(h) = 30*h + 15. Determine i(-1). -15 Let m(k) = -500*k + 1640. Give m(4). -360 Let w(c) = -333*c + 4311. Determine w(13). -18 Let z(i) = 164*i - 7894. Give z(47). -186 Let z(v) = -53*v**2 + 11871*v + 234. What is z(224)? 10 Let t(g) = 25*g + 1. Give t(0). 1 Let p(q) = -16*q + 42. Give p(17). -230 Let f(o) = o**3 + 16*o**2 - 18*o - 405. Determine f(-17). -388 Let z(b) = b**2 + 63*b + 11. Determine z(-69). 425 Let l(h) = -3*h**2 + 74*h + 47. What is l(23)? 162 Let g(f) = 3*f**2 + 26*f - 596. What is g(-19)? -7 Let h(l) = -l**3 + 16*l**2 + 79*l - 4. Calculate h(20). -24 Let a(n) = n**3 + 58*n**2 - 1015*n - 45. Determine a(14). -143 Let t(a) = 19*a**2 + 122*a - 74. Determine t(-7). 3 Let h(w) = 80*w - 6544. Determine h(79). -224 Let s(a) = a**3 + 35*a**2 + a + 85. What is s(-35)? 50 Let b(q) = 3*q**2 + 136*q - 2118. Give b(12). -54 Let g(d) = -3*d**3 - 3*d**2 - 51*d + 112. Determine g(2). -26 Let d(l) = 353*l**2 + 20481*l + 405. Calculate d(-58). -1 Let m(s) = -s**3 - 53*s**2 - 632*s - 22. Give m(-18). 14 Let i(m) = 813*m + 4448. Calculate i(-6). -430 Let b(m) = -39*m - 265. What is b(-7)? 8 Let k(h) = -h**2 - 86*h - 1388. Calculate k(-21). -23 Let p(i) = -6*i**2 - 680*i + 4047. What is p(-119)? 1 Let b(z) = 2*z**2 + 8*z - 61. Give b(-11). 93 Let f(m) = m**2 + 115*m - 26852. What is f(116)? -56 Let y(w) = 6*w**2 + 362*w + 1478. Determine y(-4). 126 Let q(y) = -3552*y - 3529. Determine q(-1). 23 Let v(i) = 167*i + 2657. What is v(-16)? -15 Let y(l) = -l**3 - 25*l**2 - 136*l - 181. What is y(-18)? -1 Let g(l) = 218*l + 19199. Determine g(-88). 15 Let u(c) = c**2 + 14*c - 45. Give u(14). 347 Let n(z) = -3*z**2 + 128*z - 137. Calculate n(42). -53 Let p(m) = -11*m + 604. Give p(26). 318 Let x(l) = 28*l**2 + 469*l + 1360. Determine x(-13). -5 Let d(i) = -2*i**3 + 3*i**2 - 177*i + 353. Determine d(2). -5 Let z(x) = -27*x + 291. Determine z(10). 21 Let x(m) = -214*m - 7275. Give x(-34). 1 Let d(g) = 3*g - 320. Determine d(53). -161 Let o(q) = -q**3 - 17*q**2 - 20*q + 75. Give o(-8). -341 Let c(x) = -91*x +
{ "pile_set_name": "DM Mathematics" }
w) = -2*w. What is j(g(z))? -86*z - 5440 Let r(f) = 1. Let k(l) = -10*l - 26. Let g(u) = -6*k(u) - 156*r(u). Let d(h) = -5*h. Let y(w) = -35*d(w) - 3*g(w). Let v(o) = 8*o**2. What is y(v(n))? -40*n**2 Let m(t) = -t**2. Let p = -7 - -8. Let u = p + 1. Let f(i) = 7*i**2 - i**2 + 0*i**u + 6*i**2. Calculate f(m(d)). 12*d**4 Let j(w) = 28734 + w - 28734. Suppose -2*a - 3*p = -5*a, 6 = a + 2*p. Let g(k) = 13*k**a - 4*k + 4*k. Determine j(g(z)). 13*z**2 Let s(j) = 6*j. Let w(b) = -5*b. Let f(n) = -2*s(n) - 3*w(n). Let d(x) be the first derivative of x**3 + 46. Give f(d(i)). 9*i**2 Let j(a) = 2*a. Let h(l) = l**2 - 9*l - 16. Let n be h(11). Let m(x) = -4 + n + 2*x**2 - 2. Calculate j(m(s)). 4*s**2 Let c(y) be the third derivative of -y**5/10 - 2*y**2 + 33*y. Let m(w) = -14*w**2. Give m(c(z)). -504*z**4 Let s(n) = -2*n**2. Let w be (176/20)/2 - (-4)/(-10). Let i(v) = -5*v - v - v - w*v. What is s(i(b))? -242*b**2 Let b(x) be the first derivative of -x**3/3 + 1. Let i = 102 + -102. Let f(q) = -q + 6*q + i*q - 6*q. Give f(b(t)). t**2 Let j(d) = 39*d**2 - 1. Let u(n) = 36*n**2. Give j(u(q)). 50544*q**4 - 1 Let o(q) = 20*q. Let c(k) be the second derivative of -2*k**3/3 + 55*k. Calculate c(o(r)). -80*r Let v(s) = -3*s**2 + 229*s. Let h(p) = -123*p. Determine h(v(a)). 369*a**2 - 28167*a Let s(a) = 3*a. Let h(n) = -8611*n**2 + 21*n + 1. Calculate h(s(p)). -77499*p**2 + 63*p + 1 Let h(w) = -w - 1. Let g(z) = 1. Let b(j) = -g(j) - h(j). Let c(n) = 6*n**2 + 4*n. Let f(a) = -11*a**2 - 7*a. Let t(i) = -7*c(i) - 4*f(i). What is b(t(p))? 2*p**2 Let i(z) = 77*z**2 - 2*z + 451. Let c(d) = -3*d. Calculate i(c(u)). 693*u**2 + 6*u + 451 Let u(b) = 11*b**2. Let h(q) = -3837*q. Give u(h(s)). 161948259*s**2 Let i(j) = -157*j + 244. Let r(f) = -f**2. Determine i(r(p)). 157*p**2 + 244 Let n(k) be the first derivative of k**2 + 35. Let u(f) = -25*f**2 - 1. Calculate n(u(v)). -50*v**2 - 2 Let y(v) = v**2. Suppose -n = u - 4 + 1, -5*u + 5*n = -5. Let p(x) = -599 + 13*x**u + 599. Give p(y(q)). 13*q**4 Let s(m) = -15*m. Let h(y) = -8461*y**2. Give s(h(p)). 126915*p**2 Let r(m) = 8*m**2. Let h(t) = 3448*t. Calculate r(h(a)). 95109632*a**2 Let s(b) be the first derivative of 1055*b**2 - 764. Let m(i) = 2*i. Give m(s(u)). 4220*u Let i(l) = 35*l**2. Let z(v) = 3*v**2 - 31*v**2 + 10*v**2 + 14*v**2. Give z(i(g)). -4900*g**4 Let y(a) = -61*a**2 - 6*a. Let k(f) = -60*f**2 - 3*f. Let d(j) = 6*k(j) - 5*y(j). Let b(l) = -2*l**2. Determine d(b(t)). -220*t**4 - 24*t**2 Let u(o) be the third derivative of 5*o**4/3 - 340*o**2. Let h(b) = 5*b**2. Calculate u(h(v)). 200*v**2 Let l(g) = -1743*g. Let n(m) = -47*m**2 + 2. Calculate l(n(o)). 81921*o**2 - 3486 Let y(l) = -389*l + 196*l + 175*l. Let v(p) = -p**2. What is y(v(j))? 18*j**2 Let c(k) = k. Let h(y) be the third derivative of y**7/252 + 3*y**4/8 + 5*y**2. Let b(u) be the second derivative of h(u). Give b(c(m)). 10*m**2 Let g(d) = -d - 346. Let k(a) = 825*a**2 - 1. Give g(k(i)). -825*i**2 - 345 Let a(h) = -176*h. Let l(v) = 1099*v**2. Calculate l(a(p)). 34042624*p**2 Let g(r) = -9*r**2 + 0*r**2 - r**2. Let u(f) = 234533 - f - 234533. What is u(g(b))? 10*b**2 Let p(j) = j - 1. Let d(s) = 3*s**2 - s + 1. Let n(y) = d(y) + p(y). Let g(h) = -5*h**2. Calculate n(g(l)). 75*l**4 Let p(w) = -7*w. Let a(j) = 2*j - 3908. Give a(p(r)). -14*r - 3908 Let u(j) = 2*j**2. Let w(y) = -9*y + 5189. Give u(w(k)). 162*k**2 - 186804*k + 53851442 Suppose 0*z = -3*z + 3. Let d be 5 + 3 + (0 - z). Let b(x) = -x - 3*x + d*x. Let t(a) = 2*a**2. Give b(t(p)). 6*p**2 Let z(a) = a**2. Let d(t) = 4*t**2 - 3*t. Let k(g) be the third derivative of 3*g**5/20 - 7*g**4/24 - 4*g**2. Let r(c) = -14*d(c) + 6*k(c). What is r(z(p))? -2*p**4 Let q(v) = v**2 - 6*v**2 + 0*v**2 - 7*v. Let u(b) = -2*b**2 + 349 - 349. Give u(q(i)). -50*i**4 - 140*i**3 - 98*i**2 Let m(p) = -15*p**2. Let q(j) = 32*j - 70. Let s(v) = 2*v - 5. Let z(y) = -4*q(y) + 56*s(y). Determine m(z(h)). -3840*h**2 Let v(x) be the second derivative of 2*x**3/3 + 313*x - 2. Let l(d) be the second derivative of -2*d**4/3 - 2*d. Give l(v(k)). -128*k**2 Let k(h) = -2*h**2 + 317. Let q(j) = -267*j**2. Calculate k(q(b)). -142578*b**4 + 317 Let n(w) = -w**2. Let y(t) = -7373 + 3686 + 3684 + 6*t. Give y(n(l)). -6*l**2 - 3 Let u(j) = -4*j. Let f(l) = -111299*l**2 + 2*l - 2. Determine u(f(c)). 445196*c**2 - 8*c + 8 Let f(y) be the first derivative of 2*y**2 - 348. Let p(k) = 90*k**2. Determine p(f(g)). 1440*g**2 Let u(s) = -2*s**2 - 35 - 25 + 69. Let a(i) = i. Give u(a(d)). -2*d**2 + 9 Let j(k) = 4*k**2 - 5*k + 79. Let b(m) = 3*m**2 - 4*m + 79. Let l(r) = -5*b(r) + 4*j(r). Let u(t) = 6*t**2. Determine l(u(d)). 36*d**4 - 79 Let p(b) = -b. Let w(f) = 955*f - 5. Calculate w(p(u)). -955*u - 5 Let o(s) = -2*s. Let y(m) = -9*m**2 - 77. Let b(q) = -5*q**2 - 38. Let f(n) = 7*b(n) - 3*y(n). Let h(l) be the first derivative of f(l). Give o(h(a)). 32*a Let p(s) = -2*s**2. Let x(w) = 8 + 26 - 34 - 139*w - 44*w. Give p(x(a)). -66978*a**2 Let j(q) = -q**2 - q. Let g(r) be the first derivative of -16*r**3/3 - 10*r**2 - 15. Let p(b) = 2*g(b) - 40*j(b). Let k(n) = 9*n**2. Calculate k(p(l)). 576*l**4 Let r(b) be the second derivative of -b**3/2 - 32*b. Let f(q) = 4*q + 7*q - 4*q. Let t(y) = 2*f(y) + 5*r(y). Let a(m) = -6*m**2. Determine t(a(k)). 6*k**2 Let b(d) = 21*d. Let t(z) = -4*z. Let o(r) = r. Let j(k) = -3*o(k) - t(k). Let u(n) = -b(n) + 14*j(n). Let x(l) = -l**2. Give u(x(q)). 7*q**2 Let j(q) = 2*q. Let p(d) = -198 - 2*d + 478 - 480. Calculate j(p(m)). -4*m - 400 Let n(f) be the third derivative of f**5/30 + 192*f**2. Let l(q) = -197*q - 1. Calculate n(l(o)). 77618*o**2 + 788*o + 2 Let k(f) = -143*f - 54. Let o(s) = -s + 45. Give k(o(y)). 143*y - 6489 Let j(q) be the third derivative of -q**4/24 + 298*q**2. Let f(y) = 344*y**2. Determine j(f(l)). -344*l**2 Let o(l) = 8*l. Let s(w) = -362*w. What is s(o(z))? -2896*z Let d(o) = 2505 - 2505 - 2*o. Let j(y) = y**2 + 170. What is d(j(b))? -2*b**2 - 340 Let r(l) be the second derivative of -l**4/12 + 7*l**2/2 - l. Let g(m) be the first derivative of r(m). Let z(s) = -6*s. Determine g(z(v)). 12*v Let x(d) = 7*d. Let g(c) = 20*c + 3*c - 14*c. What is g(x(v))? 63*v Let r(v) = 26*v**2 + 17. Let t(n) = -7*n**2 - 12. Determine r(t(f)). 1274*f**4 + 4368*f**2 + 3761 Let r(f) = 0*f - 6 + f + 0*f. Let k(z) be the first derivative of -15*z**2/2 + 85*z + 3. Let n(w) = 6*k(w) + 85*r(w). Let g(o) = 2*o**2. Determine g(n(m)). 50*m**2 Let n(w) = -11*w**2. Let z(x) = 10696*x. Determine n(z(m)). -1258448576*m**2 Let u(y) = -2*y**2. Let s be 6 - ((-6)/12 + 3/(-6)). Let j(w) = -4*w + 7. Let a(b) = -b + 2. Let h(m) = s*a(m) - 2*j(m). What is h(u(k))? -2*k**2 Let r(h) be the second derivative of h**4/6 + h - 265. Let d(o) = -o + 2. Let n be d(-7). Let u(p) = n*p**2 + 2 - 2. Determine u(r(l)). 36*l**4 Let p(u) = -u. Let n be (-5)/(15/(-12)) - 4. Let k(c) be the second derivative of 11*c - 11/6*c**3 + 0 + n*c**2. Determine p(k(a)). 11*a Let r(y) be the second derivative of -y**3/3 - 2*y - 11. Let m(u) = -16*u**2. What is m(r(n))? -64*n**2 Let j(b) be the third derivative of -1/30*b**5 + 0*b**4 + 0*b**3 + 0 + 0*b + 18*b**2. Let l(a) = -a**2. Calculate j(l(z)). -2*z**4 Let b(i) = -371*i**2 + i + 17. Let r(j) = 7*j**2. What is b(r(s))? -18179*s**4 + 7*s**2 + 17 Let f(p) = 2*p + 614. Let b(w) = -80*w. Determine b(f(u)). -160*u - 49120 Suppose 5*s + 72 = 9*s. Let b(y) = -13 + s - 5 - y**2. Let f(t) = 9*t**2. Determine b(f(p)). -81*p**4 Let a(i) = 5724*i. Let d(z) = 11*z + 3. Determine d(a(g)). 62964*g + 3 Let h(n) = 37298*n**2. Let c(b) = -9*b. Determine c(h(t)). -335682*t**2 Let z(y) = 3 + 3 - 11*y + 2 - 4. Let f(k) = 210*k - 77. Let j(d) = 4*f(d) + 77*z(d). Let g(b) = -b**2. Calculate g(j(x)). -49*x**2 Let g(t) = -15*t - 305. Let x(y) = -y. Calculate x(g(n)). 15*n + 305 Let l(b) = 10883 - 10883 - 2*b. Let x(r) be the second derivative of -8*r**3/3 + r. Determine x(l(d)). 32*d Let r(y) be the first derivative of y**2/2 - 1. Let x(i) = -634*i + 633*i - 3 + 3. Determine x(r(c)). -c Let r(g) = g. Let l = 7 - 5. Suppose 3 = l*f - 3. Let n(v) = -3*v**2 + 4*v**2 + v**2 - f*v**2. Give r(n(x)). -x**2 Suppose 4*l - 3*q + q = 122, 3*l = 4*q + 104. Let o(d) = -2 + 27*d + 2 - l*d. Let g(n) = 5*n - n - 3*n. Determine o(g(z)). -z Let
{ "pile_set_name": "DM Mathematics" }
2, -4*u - 3*g = -12. Let k(v) = v - 2. Let y be k(u). Put 0.4, 2, y in descending order. 2, y, 0.4 Let b(n) = -n**3 - 5*n**2 + 8*n + 7. Let r be b(-6). Sort -1/3, -1, r. r, -1, -1/3 Let p = -1.3 - -0.5. Let b = p + -3.2. Let w = b + 4.5. Sort w, 2/5, -4 in descending order. w, 2/5, -4 Suppose 3*f = -176 + 167. Put 1, -4, -2, f in ascending order. -4, f, -2, 1 Suppose -2*h = 2*p + 6, h - 3*p = -1 - 10. Let j = 8 + -11. Suppose 2*b - 6 = 4. Sort h, j, b in descending order. b, j, h Let k = -14 + 15. Sort -5, -1, k in ascending order. -5, -1, k Let z be -2*(-1 - 14/4). Suppose -z = -5*k + 2*k. Suppose -12 = -k*s - 2*f, 4*s + 2*f - 20 = -2*f. Sort s, 5, -1 in increasing order. -1, s, 5 Let z = -5 + 9. Suppose 0 = p + 2*q - 3, -4*p + 5*q + z = 5. Let a = -0.3 + -0.2. Sort -0.4, a, p in ascending order. a, -0.4, p Let b(u) = 4*u**3 - 4*u**2 + 3*u - 1. Let t(q) = 5*q**3 - 5*q**2 + 4*q - 2. Let n(j) = 4*b(j) - 3*t(j). Let f be n(0). Put f, 5/4, 3 in decreasing order. 3, f, 5/4 Let b be 1*-4 + -1*70/(-18). Sort -0.1, b, -1, -2/9 in increasing order. -1, -2/9, b, -0.1 Let w(k) = -k + 2. Let b be w(-8). Suppose -c + b = 4*c. Let j = -2 + 2. Put j, c, 1 in decreasing order. c, 1, j Let d = 1 + -11. Let o be 56/(-105) - 2/d. Sort o, 0.4, -3 in decreasing order. 0.4, o, -3 Suppose 0 = -2*z - 3*z + 30. Let u(c) = -c**3 + 5*c**2 + 10*c - 8. Let d be u(z). Suppose 4 = -h - 2*t - 0*t, 4*t + d = 0. Sort -4, h, -2/11. -4, -2/11, h Let z = 0.5 - -0.1. Let v = z + -0.1. Sort 3, v, 0. 0, v, 3 Let g be (-9)/6 + (-2)/4 + 0. Suppose b + 1 = 2. Sort g, -0.1, b. g, -0.1, b Let z = -1027/7 - -147. Put z, 3/5, 0 in descending order. 3/5, z, 0 Suppose 2*f - 3*f + 2*b + 6 = 0, -4*f + b + 10 = 0. Put -6, -2, f, 3 in decreasing order. 3, f, -2, -6 Let d(n) = -n**3 - 3*n**2 + 4*n + 5. Let w be d(-4). Suppose 3*m - w*x + 11 = 7*m, x - 6 = 3*m. Sort m, 4, 5 in descending order. 5, 4, m Let d = -5 - -10. Suppose z - 6 = -s - s, -d*s = 3*z - 16. Put s, -2, -1 in descending order. s, -1, -2 Let s = 24 - 10. Let j = s - 14.4. Let n = 0.4 - 0.2. Put n, 2, j in decreasing order. 2, n, j Suppose 0*k - k = 2. Let d(g) = -2*g + 7. Let j be d(5). Sort 0, k, j in decreasing order. 0, k, j Suppose 4*p = 2*l - 10, -5*p + 21 = 4*l + 66. Sort 3, l, -3/2, 0.4 in descending order. 3, 0.4, -3/2, l Suppose 2*f = -7*b + 2*b - 40, 32 = -4*b + f. Let a(l) = l + 9. Let t be a(b). Put t, -1, 5 in ascending order. -1, t, 5 Suppose 3 = -5*q + 2*q. Sort q, 32, 3, -5 in increasing order. -5, q, 3, 32 Let f = 5 + -2. Let j(w) = w**3 - 5*w**2 + 7*w - 4. Let c be j(4). Let q be (-2)/c - (-3)/(-84). Put 2/5, q, f in ascending order. q, 2/5, f Let w = -2.03 - -0.03. Let h = w + 6. Let n = 3.9 - h. Put n, -5, 0.3 in decreasing order. 0.3, n, -5 Let n = -1.4 - -7. Let c = 0.6 - n. Put c, -3, -4 in decreasing order. -3, -4, c Let g = 0 + -0.5. Let r = -36 - -39.6. Let w = r - 0.6. Sort -0.1, w, g in descending order. w, -0.1, g Let k be ((-3)/2)/((-6)/12). Sort 1, 8, k in descending order. 8, k, 1 Let n be 1/4 - (2 - 2). Suppose 0 = -4*g + 2*m + 6, m = -g - 9 + 3. Let y be (2 + g)/(-9 - -5). Sort y, -3, n in ascending order. -3, y, n Suppose -1 = -4*u + 3. Let p = -1 - -1.4. Let l = p - 0.5. Sort 2/5, l, u in descending order. u, 2/5, l Let h = -482/3 + 159. Let u(o) = -2*o**2 - 22*o - 23. Let f be u(-10). Put h, f, 5 in increasing order. f, h, 5 Let f = -1 - 1. Let d be 0/f - -2 - 6. Suppose 0*x - 24 = -6*x. Put x, 0, d in increasing order. d, 0, x Suppose h - 5*h = -16. Let y be (-38)/(-10) - (-2)/10. Suppose 2*v - x = -0 - 6, y*v - 3*x + 10 = 0. Sort v, 5, h. v, h, 5 Let w = -1.79 + 1.99. Suppose -3*h = 6, 2*m - h = 4*m. Sort m, w, -0.5 in decreasing order. m, w, -0.5 Let b = 17 + -15.7. Let j = b + 14.7. Let t = j + -11. Sort 0.1, t, 1 in decreasing order. t, 1, 0.1 Let s(g) = -g**3 - 11. Let x be s(0). Let c = 8 + x. Sort c, -0.2, 3/7 in increasing order. c, -0.2, 3/7 Let j = -64 + 66. Sort 1/11, j, -1. -1, 1/11, j Let c = 16 - 11. Suppose 2*k + 5 + 3 = c*b, 7 = -3*k + 5*b. Sort 3, k, 2. k, 2, 3 Let x = 8 - 5. Let u(j) = 4*j**2 - 5*j**x - 4*j + 3*j**3 + j**3 + 3. Let y be u(2). Put y, -0.1, -5 in increasing order. -5, -0.1, y Let r be 4/(-10) - 405/(-75). Let j be 6/(-3)*(-1)/r. Let t = -11 - -7. Put j, -1, t in descending order. j, -1, t Let a(f) = -f**2 - 5*f. Let o be a(-4). Suppose -3*l - 2 = -4*l. Put 3, l, o in increasing order. l, 3, o Let c = 252355/5098 - 2/2549. Let h = -48 + c. Let f = 3.3 + -3. Put f, h, -2/11 in increasing order. -2/11, f, h Let c be (-8)/12 - 4/(-6). Put c, 4, 5 in decreasing order. 5, 4, c Let a be 2/(-1*2) - -4. Let f = -2 + 4. Suppose -3*o + f = -4*c, -2*o - 2*c = o - 8. Sort a, -4, o. -4, o, a Let i = -0.05 + 0.55. Sort -3, 0.2, i, 3/4 in decreasing order. 3/4, i, 0.2, -3 Let l be ((-8)/(-4) + -35)*1. Let d be (-6)/l + (-276)/66. Sort -5, d, -2. -5, d, -2 Let b = 63/8 - 8. Sort 5, b, 1 in decreasing order. 5, 1, b Let c = -4 - 4. Let r = 0 + c. Let t = 7 + r. Put t, -3, -5 in decreasing order. t, -3, -5 Let o(n) = -n**3 + 9*n**2 + 10*n + 12. Let x be o(10). Let t = x + -7. Suppose 6*v = v - 10. Sort v, -4, t. -4, v, t Suppose 5 = 8*g - 27. Put g, 0, 5 in decreasing order. 5, g, 0 Suppose -3*g + 3*k = -2*g - 14, 3*g + 2*k = 9. Sort g, 0.5, 0.11. 0.11, 0.5, g Let f = -2 + 3. Let a = 1111/7 - 159. Let d = 4 - 4.3. Put d, f, a in descending order. f, a, d Let k be 3/(-22) + (-1 - 3/(-2)). Sort 3, k, -3. -3, k, 3 Let l(x) = x**3 - 2*x**2 + 2*x + 3. Let n be l(-1). Put -0.4, n, 2 in decreasing order. 2, -0.4, n Let l = -2 - -2. Suppose 2*x - 5*k - 8 = l, 3*k = -x - k + 4. Suppose 5*z - 29 = 2*s, -s + 9 = 4*z - 9. Put x, z, 0 in decreasing order. z, x, 0 Let j = 10 + -12. Suppose -5 = 4*k + z, -5*z - 25 + 0 = -2*k. Suppose 0 = -5*b + 2*l - 3, 0*b = 5*b - l + 4. Sort j, k, b in decreasing order. k, b, j Let f be (-172)/6 + (-20)/15. Sort -1, -3, f in increasing order. f, -3, -1 Let c = 17.1 + -17. Sort c, -3, -5. -5, -3, c Suppose 3*s + 3 = 9. Let f(w) = -s - 1 - w - w. Let z be f(-3). Sort z, -1, -3 in decreasing order. z, -1, -3 Let z be (-2)/(2 - 1) + 8. Suppose -5*v - 52 = 5*d - 17, -3*d = -2*v + z. Put -3, d, -1 in ascending order. d, -3, -1 Let z = 5 + -3. Let s = z - 2.3. Let o(i) = i**2 + 3*i - 4. Let h be o(-3). Put -2/15, s, h in descending order. -2/15, s, h Let n = -35.1 + 35. Put n, -1, 1, -0.3 in decreasing order. 1, n, -0.3, -1 Let o = -0.6 + 0.2. Let x = 0.6 - 0.8. Suppose 0 = -0*n - 3*n + r - 8, -r = 5*n. Sort o, n, x in ascending order. n, o, x Let t be ((-1)/(-2))/1*(5 + -5). Sort 5, t, -2, -5. -5, -2, t, 5 Suppose 2*s = -2*h - h - 8, 2*h = -2*s - 6. Suppose 5*n + 8 = -2*o - 23, 0 = o - 5*n - 22. Put 3, o, s in decreasing order. 3, s, o Let o be 10/(-42) - 3/9. Sort -2, o, 14, 1 in ascending order. -2, o, 1, 14 Suppose 0 = -6*v + 8 + 16. Sort 0.5, v, -1.4 in ascending order. -1.4, 0.5, v Let r = -2 - -2. Let i be ((-2)/(-6))/((-3)/18). Let k be i*(70/(-4))/(-7). Put k, 2, r in descending order. 2, r, k Let v = 0.67 - -0.03. Let p = -1 + v. Let t be (-2)/(-14) - (603/252 - 3). Sort t, p, 0 in increasing order. p, 0, t Suppose 0*m - 10 = -5*m. Suppose 3*d + 12 = 0, -4 = 2*z + m*d + 2. Let h be (-2)/(-3) - (-10)/(-6). Sort z, h, 3 in decreasing order. 3, z, h Let w(b) be the second derivative of b**5/20 + b**4/4 - 11*b**3/6 - b**2 - b. Let r be w(-5). Sort 2, r, 0 in descending order. r, 2, 0 Suppose 5*p = 5 + 5. Suppose g + j = 2*j + 3, -p*g + 8 = -j. Let h = 6.69 - 2.69. Put g, 1/4, h in decreasing order. g, h, 1/4 Suppose -5*w - 19 = -0*w + 3*a, 0 = -w + 3*a - 11. Put -1, 4, w, 6 in descending order. 6, 4, -1, w Let y = 11 + -12. Let w = y - 0. Put 4, 1, w in decreasing order. 4, 1, w Suppose -n = -5*s - 2*n + 21, 0 = -5*s - 3*n + 13. Let f(x) = x**3 - 5*x**2 + x - 6. Let l be f(s). Sort 2, l, -3 in decreasing order. 2, l, -3 Let b be 154/(-231) - 1/(3/(-35)). Let c(u) = -u**3 - 2*u**2 + u - 4. Let w be c(-3). Sort 0, b, w. 0, w, b Let s be (-8)/18*(-1)/2. Sort 1, -4, -3, s in decreasing order. 1, s, -3, -4 Suppose 4*g + 2*m = 9*g - 6, 4*g + 4*m + 12 = 0. Suppose 3*f + 4*y = f - 20, -f - 4*y - 18 = g. Let a = 0.7 + -1. Put -1/4, a, f in descending order. -1/4, a, f Suppose -2*q + 2 = -q. Put -1, q, 2/21, 0.3 in ascending order. -1, 2/21, 0.3, q Let i(t) = -t +
{ "pile_set_name": "DM Mathematics" }
-1946, -28, 0, 1, 3, 4, 10 Put -5, 0.2, -27471, -4, 3/32 in descending order. 0.2, 3/32, -4, -5, -27471 Sort 2/31, -107, 2, 23/27 in descending order. 2, 23/27, 2/31, -107 Put 3123517, 4, -1 in descending order. 3123517, 4, -1 Put -574, 5, 3, 44961 in descending order. 44961, 5, 3, -574 Put 3, -4, 320, 0.1, 0.8, 36.88 in descending order. 320, 36.88, 3, 0.8, 0.1, -4 Sort -4, 328365, 0, 3. -4, 0, 3, 328365 Sort 0.4, 1, 10, 5, 0.71, 251. 0.4, 0.71, 1, 5, 10, 251 Sort -117, -2/5, 4, -0.2 in decreasing order. 4, -0.2, -2/5, -117 Put -17345, 3, -570 in decreasing order. 3, -570, -17345 Put -6783, 12/227, -5 in ascending order. -6783, -5, 12/227 Sort 21, -31, 55345 in increasing order. -31, 21, 55345 Sort -3, 0.6, 17.0091, -4/5, -2, 0. -3, -2, -4/5, 0, 0.6, 17.0091 Sort 0.2, -13471, -3361 in increasing order. -13471, -3361, 0.2 Put 5, -4, 269, -9, -7, 0, -3 in descending order. 269, 5, 0, -3, -4, -7, -9 Sort -72, -4, -51, -3, 5, 11 in ascending order. -72, -51, -4, -3, 5, 11 Sort 2, 5, 21839, 21, 3 in ascending order. 2, 3, 5, 21, 21839 Put 0.2, 0, 423/11, -2, 4, -0.1 in decreasing order. 423/11, 4, 0.2, 0, -0.1, -2 Sort 0.5, -5, -48/17, 0.4, 36, 88/5 in ascending order. -5, -48/17, 0.4, 0.5, 88/5, 36 Put 1, 12, 5, -1787, 2 in ascending order. -1787, 1, 2, 5, 12 Put 85, -2/5, -11, 0, 1/112, -4 in ascending order. -11, -4, -2/5, 0, 1/112, 85 Put 16, 1/4, -34, 3, -2, 0.1, -0.4 in decreasing order. 16, 3, 1/4, 0.1, -0.4, -2, -34 Put -96, 385, -57, 7 in ascending order. -96, -57, 7, 385 Sort 1.7, -4, 4/5, -2, 2, 0, 3/7 in descending order. 2, 1.7, 4/5, 3/7, 0, -2, -4 Put 451, -0.19, 6, 1, 0.1 in increasing order. -0.19, 0.1, 1, 6, 451 Sort -46, -24/5, -3/4, 2117. -46, -24/5, -3/4, 2117 Put -30, 7, -3, 192, 3 in descending order. 192, 7, 3, -3, -30 Put -521479, -8, 1 in descending order. 1, -8, -521479 Sort -14652, 4.9, 3, 0.5. -14652, 0.5, 3, 4.9 Put 0.3, 15, -0.1, -1, 1/9, -0.3 in increasing order. -1, -0.3, -0.1, 1/9, 0.3, 15 Put -3, -11, -35, 0, 3, -553 in ascending order. -553, -35, -11, -3, 0, 3 Sort 3, 2/7, 3/8, 1, 5, 857/10 in decreasing order. 857/10, 5, 3, 1, 3/8, 2/7 Put 241, -16, -374 in descending order. 241, -16, -374 Put -67, 2, -1, 3, -410, 0 in descending order. 3, 2, 0, -1, -67, -410 Sort -655436, -5, -13, -4, 4 in decreasing order. 4, -4, -5, -13, -655436 Put 3, 9777281, 1, 4 in descending order. 9777281, 4, 3, 1 Put 3, 1701, -6 in ascending order. -6, 3, 1701 Sort 2, 2513.656, -2/7 in descending order. 2513.656, 2, -2/7 Sort -2/5, 5/6, 1/4, -131536 in increasing order. -131536, -2/5, 1/4, 5/6 Put -18527349, 2, 6 in descending order. 6, 2, -18527349 Put 14, 2, 1, 47, 6 in descending order. 47, 14, 6, 2, 1 Put -478, 1099, -3/20 in decreasing order. 1099, -3/20, -478 Sort 0.5, -0.1, -1/2, -63, 4/353 in ascending order. -63, -1/2, -0.1, 4/353, 0.5 Put 5, -5, 15/7, 7, -0.4, 20832.3 in descending order. 20832.3, 7, 5, 15/7, -0.4, -5 Sort -3/5, 13, -41301, 0.01 in ascending order. -41301, -3/5, 0.01, 13 Put 139, -25, 15, -6 in decreasing order. 139, 15, -6, -25 Put 0, -18, -6, -10, 4, -1581, 1 in decreasing order. 4, 1, 0, -6, -10, -18, -1581 Sort 4, -272, -5, 0, 5, 4227 in descending order. 4227, 5, 4, 0, -5, -272 Put 4, -4, -225614 in decreasing order. 4, -4, -225614 Sort -30, -1, 2, 5162, -2, 3 in descending order. 5162, 3, 2, -1, -2, -30 Sort 9.612, 0, 0.02331 in ascending order. 0, 0.02331, 9.612 Sort 8, 4, 16, 12 in descending order. 16, 12, 8, 4 Put -0.3, -14, -2780010, 0.1 in decreasing order. 0.1, -0.3, -14, -2780010 Put -3, -1, 82, -5, -30, 4, 57 in increasing order. -30, -5, -3, -1, 4, 57, 82 Sort 0, 0.3, 7/8, -2/5, 8, -62, -1 in decreasing order. 8, 7/8, 0.3, 0, -2/5, -1, -62 Sort 2705, -56, -404, -4 in decreasing order. 2705, -4, -56, -404 Sort -422, 5, -1066, 1, -3 in descending order. 5, 1, -3, -422, -1066 Sort 0, -5, 29335350 in descending order. 29335350, 0, -5 Put 1/4, 0, -2, -5, 124, 3, 2 in descending order. 124, 3, 2, 1/4, 0, -2, -5 Sort 25928, -5, 2, -30. -30, -5, 2, 25928 Sort 0.54, 50, 8, 2, 2/9, 6, 5. 2/9, 0.54, 2, 5, 6, 8, 50 Sort -1, -3, 3, -2322, 149, 4 in descending order. 149, 4, 3, -1, -3, -2322 Put 41, -620, -5, 15, -2, -10, 0 in decreasing order. 41, 15, 0, -2, -5, -10, -620 Put 0.06, -29.11077, -4 in decreasing order. 0.06, -4, -29.11077 Put 1762960, -3, 13 in decreasing order. 1762960, 13, -3 Put -1, -145, -3, 15338 in decreasing order. 15338, -1, -3, -145 Sort -153, 3, 11/4, 4, -119/6 in ascending order. -153, -119/6, 11/4, 3, 4 Sort -3, -2, 2, 19, -212, -1 in decreasing order. 19, 2, -1, -2, -3, -212 Sort -4, 29, -1, -2, 16430, 0, 5 in decreasing order. 16430, 29, 5, 0, -1, -2, -4 Put 0, -6389787, 19 in decreasing order. 19, 0, -6389787 Put -5, 3, -228349 in ascending order. -228349, -5, 3 Put -0.1, 0.3, 5, 25536 in increasing order. -0.1, 0.3, 5, 25536 Sort 0.3, -1442812, -2/7. -1442812, -2/7, 0.3 Sort 13, 1, -5, -124, -10, -7, -3. -124, -10, -7, -5, -3, 1, 13 Put 4, -2, 786, 9, 124, 0 in ascending order. -2, 0, 4, 9, 124, 786 Sort -1, -5, -6306, 10, 1. -6306, -5, -1, 1, 10 Sort -5, 9, 788322 in increasing order. -5, 9, 788322 Sort 328456, 2, 3, 14, -4. -4, 2, 3, 14, 328456 Sort 1270, 0.011, -1020, -2 in decreasing order. 1270, 0.011, -2, -1020 Sort 5280, -2, 1.02. -2, 1.02, 5280 Sort -21, -4/7, 53, -4, 4893 in descending order. 4893, 53, -4/7, -4, -21 Sort 2/3, 792, 2/157, 1 in increasing order. 2/157, 2/3, 1, 792 Sort 4355, 289, 263 in descending order. 4355, 289, 263 Sort -0.0586, -9, 1/208 in decreasing order. 1/208, -0.0586, -9 Sort 3, 6, -4, -3, -8, 4, -11. -11, -8, -4, -3, 3, 4, 6 Put 319, 2, -10, -133, 4 in ascending order. -133, -10, 2, 4, 319 Sort 5, 83406, -3 in decreasing order. 83406, 5, -3 Put -1/13, 3, 2, 3/256, -496 in descending order. 3, 2, 3/256, -1/13, -496 Sort -1.2, 24/11, -2/3, 0, -2, 0.1. -2, -1.2, -2/3, 0, 0.1, 24/11 Sort -27, 495, -1, -2, -16, 0 in decreasing order. 495, 0, -1, -2, -16, -27 Sort -56, -8474, -52. -8474, -56, -52 Sort -3, -791, -4, 32, 3 in increasing order. -791, -4, -3, 3, 32 Sort 5, -2, -24, -76525 in decreasing order. 5, -2, -24, -76525 Sort 2, -2, 1678435, 5 in ascending order. -2, 2, 5, 1678435 Put 61, 1/3, -2878, -1/6 in increasing order. -2878, -1/6, 1/3, 61 Sort 104, 2/9, 3, -15, 3/2, -0.5. -15, -0.5, 2/9, 3/2, 3, 104 Sort -114, 284, -1909 in decreasing order. 284, -114, -1909 Put -14, -0.2, 2712420 in ascending order. -14, -0.2, 2712420 Sort -11, -1, 2, -3, 547, 422 in ascending order. -11, -3, -1, 2, 422, 547 Put 0, -6, -55, -512, -22 in decreasing order. 0, -6, -22, -55, -512 Sort -1941, -1, -49, 1 in increasing order. -1941, -49, -1, 1 Put -24/155, -61/13, 3/7 in descending order. 3/7, -24/155, -61/13 Sort 3, -95, 1, 189, 28, 2. -95, 1, 2, 3, 28, 189 Sort 3/7, 4849, -0.4, -911 in decreasing order. 4849, 3/7, -0.4, -911 Sort -185, 5, 4, -472 in decreasing order. 5, 4, -185, -472 Put 5, 4, 135, -5, -29, -2, 246 in ascending order. -29, -5, -2, 4, 5, 135, 246 Put 3, -22, -149, 0.5, -3.9, -1/5 in descending order. 3, 0.5, -1/5, -3.9, -22, -149 Put -233, -2, 4, -3/19, 1, 2 in decreasing order. 4, 2, 1, -3/19, -2, -233 Sort -3, -659, -68, -15, -1/4 in decreasing order. -1/4, -3, -15, -68, -659 Sort -16/641, -0.14, 1/701 in descending order. 1/701, -16/641, -0.14 Put -25, 5, 24, 940, 60 in decreasing order. 940, 60, 24, 5, -25 Sort 72, -8979, -3, 2/9 in descending order. 72, 2/9, -3, -8979 Sort 3, 4, 2, 64275. 2, 3, 4, 64275 Sort 10, -2, 36134, -0.1 in descending order. 36134, 10, -0.1, -2 Sort 1/9, -34, 2/13, 44, -5, 2, 1/3. -34, -5, 1/9, 2/13, 1/3, 2, 44 Sort 1, 6, -231, 3433, 5, 2 in descending order. 3433, 6, 5, 2, 1, -231 Sort -3, 33, 7, 0, -975. -975, -3, 0, 7, 33 Sort 17, -0.87, 76.1, 0.28. -0.87, 0.28, 17, 76.1 Sort -13, 2, 6, 0, -1, -280, -4 in increasing order. -280, -13, -4, -1, 0, 2, 6 Sort 0.3205, -4.7, -3/4, -1, 4. -4.7, -1, -3/4, 0.3205, 4 Put -68, -5, 3266, 49, -4 in descending order. 3266, 49, -4, -5, -68 Sort -1/3, -437, 0.01158, 1/5, 0.4 in ascending order. -437, -1/3, 0.01158, 1/5, 0.4 Put -44.8, -3, 3242 in descending order. 3242, -3, -44.8 Sort -2126, -4, -5, 5719, -3, -2 in increasing order. -2126, -5, -4, -3, -2, 5719 Sort 57, -10, 4, -1472 in descending order. 57, 4, -10, -1472 Put 34, 71, 206 in ascending order. 34, 71, 206 So
{ "pile_set_name": "DM Mathematics" }
558. 122 What is the highest common factor of 154 and 147744982? 154 What is the greatest common divisor of 569 and 16896455? 569 What is the highest common factor of 45649 and 1158988? 191 Calculate the highest common factor of 16278 and 2861924709. 8139 Calculate the greatest common factor of 7315 and 647525263. 1463 Calculate the greatest common divisor of 264 and 356864. 8 Calculate the highest common divisor of 24225 and 24450. 75 Calculate the greatest common factor of 8646 and 1533486. 786 Calculate the greatest common factor of 353720608 and 32. 32 What is the greatest common factor of 116 and 9422274? 58 Calculate the highest common divisor of 21 and 101846073. 21 Calculate the highest common factor of 5351296 and 8620. 1724 Calculate the greatest common divisor of 328 and 681512. 8 Calculate the highest common divisor of 3466520 and 10. 10 What is the highest common divisor of 96 and 8763936? 96 What is the highest common divisor of 119343 and 52563? 21 Calculate the greatest common divisor of 2884 and 455084. 28 What is the highest common divisor of 916813 and 27559? 127 Calculate the greatest common factor of 56 and 579796. 28 Calculate the greatest common factor of 3347827 and 238. 119 Calculate the greatest common divisor of 303 and 3603074. 101 Calculate the greatest common divisor of 119 and 199905363. 119 What is the highest common divisor of 110788922 and 335? 67 Calculate the highest common factor of 304583 and 2252. 563 Calculate the highest common factor of 85587154 and 5862. 1954 What is the highest common factor of 6344 and 156455? 13 What is the highest common divisor of 1516853 and 858? 13 Calculate the highest common factor of 144 and 32777256. 24 What is the highest common divisor of 575 and 519157265? 115 Calculate the highest common divisor of 57029238 and 24696. 6174 What is the highest common divisor of 189 and 43609509? 27 Calculate the greatest common divisor of 408 and 4234904. 136 Calculate the greatest common factor of 37796 and 17644. 44 Calculate the highest common factor of 30044 and 2237205. 1073 What is the highest common divisor of 579 and 44316? 3 Calculate the greatest common divisor of 890812 and 7030. 74 What is the highest common divisor of 88175 and 28223054? 3527 Calculate the highest common divisor of 13115904 and 9312. 96 Calculate the highest common factor of 149375856 and 4464. 1488 Calculate the greatest common divisor of 1656 and 807139. 23 What is the highest common factor of 12636592 and 15872? 496 What is the greatest common factor of 1584276 and 57716? 188 Calculate the greatest common divisor of 341286 and 8866. 22 What is the greatest common divisor of 1552 and 10096536? 776 What is the greatest common factor of 34758948 and 78? 6 What is the highest common factor of 80 and 13571248? 16 What is the highest common factor of 1121074 and 50161? 487 Calculate the greatest common factor of 237954336 and 480. 96 Calculate the highest common divisor of 15 and 29033905. 5 What is the greatest common factor of 1129 and 105707141? 1129 What is the greatest common factor of 55485 and 16490690? 685 Calculate the greatest common factor of 556930 and 198. 22 Calculate the greatest common divisor of 2845 and 4870. 5 Calculate the highest common divisor of 793567 and 326529. 71 What is the highest common factor of 2294 and 6841018? 62 Calculate the highest common factor of 1728431 and 25009. 281 Calculate the highest common factor of 28975 and 21109. 19 Calculate the highest common divisor of 9746 and 4796. 22 Calculate the highest common divisor of 79820737 and 463. 463 Calculate the highest common divisor of 478 and 2123273849. 239 What is the greatest common factor of 34188672 and 11868? 276 Calculate the highest common divisor of 20868 and 5052735. 141 Calculate the greatest common divisor of 351610 and 18298. 14 What is the greatest common divisor of 173910 and 8959170? 5610 What is the highest common factor of 95 and 32090449? 19 Calculate the greatest common divisor of 10397564 and 460. 92 Calculate the greatest common factor of 2418901 and 1206. 67 What is the highest common divisor of 102 and 182810367? 51 Calculate the highest common divisor of 16647 and 291927341. 5549 Calculate the highest common factor of 8107952 and 9714. 3238 What is the greatest common divisor of 150810283 and 39? 13 What is the greatest common divisor of 25754124 and 62436? 1452 Calculate the greatest common divisor of 133986321 and 126. 63 Calculate the greatest common divisor of 70428 and 92676. 12 Calculate the greatest common divisor of 40568 and 792. 88 Calculate the highest common factor of 3806 and 3999241. 173 What is the highest common factor of 8625033 and 999? 333 What is the highest common factor of 136037280 and 480? 480 What is the greatest common factor of 204753688 and 12618? 1402 What is the greatest common factor of 1300 and 30503200? 1300 What is the greatest common factor of 499274 and 43739? 191 What is the greatest common divisor of 91266118 and 2? 2 Calculate the highest common factor of 1192584 and 115656. 1896 Calculate the greatest common factor of 57 and 107581325. 19 Calculate the greatest common divisor of 62900 and 42160. 340 What is the greatest common factor of 257291544 and 14928? 7464 Calculate the greatest common divisor of 1873183 and 26. 13 What is the greatest common factor of 31835272 and 29? 29 What is the highest common factor of 194100 and 294? 6 What is the greatest common factor of 2435 and 4211276495? 2435 What is the highest common factor of 490 and 61888715? 245 Calculate the greatest common factor of 300240 and 67120. 80 Calculate the greatest common factor of 130680 and 207090. 270 What is the highest common divisor of 1178360 and 2979? 331 What is the greatest common divisor of 26423832 and 36? 12 What is the highest common factor of 1295 and 2862135? 185 Calculate the highest common factor of 983896 and 1349. 19 Calculate the highest common factor of 230151441 and 5902. 2951 Calculate the highest common factor of 92 and 382171772. 92 Calculate the highest common divisor of 21228988 and 8484. 404 What is the greatest common divisor of 413030080 and 16? 16 What is the greatest common divisor of 8 and 50293152? 8 What is the greatest common factor of 266 and 101920? 14 Calculate the greatest common divisor of 81143533 and 6009. 2003 What is the highest common factor of 1271 and 676009312? 1271 What is the highest common divisor of 987 and 80041? 47 What is the greatest common divisor of 81 and 494919? 9 What is the highest common factor of 36816 and 2223? 39 Calculate the greatest common factor of 61 and 187653629. 61 What is the greatest common divisor of 3324 and 18792? 12 What is the highest common divisor of 88382832 and 1482? 114 Calculate the highest common divisor of 13 and 1524034447. 13 What is the greatest common divisor of 18 and 14086662? 6 What is the greatest common divisor of 14628 and 2129892? 276 Calculate the greatest common factor of 4196376 and 96. 24 Calculate the greatest common divisor of 743120 and 200760. 280 Calculate the highest common factor of 110 and 995093. 11 Calculate the greatest common factor of 978397 and 87653. 2369 What is the greatest common divisor of 32 and 1435640? 8 Calculate the highest common factor of 2131142 and 78. 26 What is the greatest common divisor of 1331015 and 850? 85 Calculate the greatest common factor of 26892965 and 385. 55 Calculate the greatest common divisor of 4223656 and 754687. 3239 Calculate the greatest common divisor of 9092832 and 896. 224 What is the highest common factor of 1117077 and 117? 39 What is the greatest common factor of 828 and 315446748? 276 Calculate the highest common factor of 379600 and 899912. 104 Calculate the highest common divisor of 328183898 and 14. 14 Calculate the highest common factor of 102816 and 4056336. 2448 What is the highest common factor of 313117 and 4756? 41 What is the highest common divisor of 24352 and 70296614? 1522 Calculate the highest common factor of 5928 and 581464. 104 What is the highest common divisor of 2835 and 1908963? 63 What is the highest common divisor of 6213215 and 35? 5 Calculate the greatest common divisor of 2981 and 5. 1 What is the h
{ "pile_set_name": "DM Mathematics" }
: 6}. What is prob of picking 1 g and 2 d? 3/28 What is prob of picking 1 h, 1 f, 1 b, and 1 l when four letters picked without replacement from {b: 4, h: 1, l: 1, f: 5, g: 9}? 4/969 Calculate prob of picking 1 e and 1 b when two letters picked without replacement from vbbkkgkibeki. 1/22 Calculate prob of picking 1 w, 1 s, and 1 y when three letters picked without replacement from wwcswyssss. 1/8 Three letters picked without replacement from rrmrrmgzrmrzzzzm. What is prob of picking 2 r and 1 g? 3/112 Three letters picked without replacement from yhghgbghooohvyhhyyy. What is prob of picking 1 b and 2 h? 5/323 Two letters picked without replacement from {f: 1, x: 2, v: 4, b: 5, m: 4}. What is prob of picking 1 m and 1 v? 2/15 Calculate prob of picking 1 z, 1 t, and 2 f when four letters picked without replacement from zzvtfzzzttutftvv. 5/364 What is prob of picking 1 f and 1 g when two letters picked without replacement from {g: 2, f: 2, w: 2, m: 1, h: 1}? 1/7 Two letters picked without replacement from ucnuq. What is prob of picking 2 u? 1/10 Two letters picked without replacement from {n: 1, o: 1, g: 2, j: 1, k: 1, h: 2}. What is prob of picking 1 j and 1 g? 1/14 Two letters picked without replacement from kcybbcywwbcbkbbbc. Give prob of picking 1 c and 1 y. 1/17 What is prob of picking 1 q and 2 j when three letters picked without replacement from {j: 6, n: 2, q: 2, d: 1}? 2/11 What is prob of picking 1 u and 2 s when three letters picked without replacement from uuuspuss? 3/14 What is prob of picking 1 w and 2 u when three letters picked without replacement from arruwaarwau? 2/165 Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, p: 1}. 1/2 What is prob of picking 1 t and 1 a when two letters picked without replacement from aqsqoooosrtttqrs? 1/40 Two letters picked without replacement from llnlnlnssllfyllnfnvn. What is prob of picking 1 y and 1 s? 1/95 Two letters picked without replacement from {n: 1, z: 1, c: 2}. Give prob of picking 1 n and 1 z. 1/6 Four letters picked without replacement from {n: 10, a: 1, y: 2, g: 3, f: 1}. Give prob of picking 1 y, 1 f, 1 n, and 1 g. 3/119 Two letters picked without replacement from {q: 2, v: 6, l: 4, p: 1}. What is prob of picking 2 v? 5/26 Calculate prob of picking 2 w when two letters picked without replacement from {l: 2, w: 1, v: 3, j: 3, r: 3, g: 2}. 0 What is prob of picking 2 a and 2 e when four letters picked without replacement from {c: 2, k: 1, y: 1, e: 2, a: 2, j: 1}? 1/126 Calculate prob of picking 4 j when four letters picked without replacement from {j: 15, u: 3}. 91/204 What is prob of picking 3 m when three letters picked without replacement from {m: 3, h: 4, j: 1}? 1/56 What is prob of picking 1 u and 1 z when two letters picked without replacement from {c: 2, m: 2, i: 1, q: 1, u: 2, z: 1}? 1/18 Two letters picked without replacement from jjjfjjfffjjff. What is prob of picking 2 j? 7/26 What is prob of picking 1 b and 3 l when four letters picked without replacement from {b: 3, q: 2, l: 12}? 33/119 Two letters picked without replacement from qqjqjjjjqjj. What is prob of picking 1 q and 1 j? 28/55 Two letters picked without replacement from {g: 9, e: 10}. Give prob of picking 2 e. 5/19 Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {d: 2, w: 1, t: 1, p: 1, f: 1, n: 1}. 2/21 What is prob of picking 4 i when four letters picked without replacement from inenppiiupiipeugin? 1/204 Four letters picked without replacement from {m: 2, h: 6}. What is prob of picking 2 h and 2 m? 3/14 Four letters picked without replacement from {a: 5, n: 2, j: 1, v: 1, d: 3, l: 1}. What is prob of picking 3 a and 1 j? 2/143 Three letters picked without replacement from uaaurccuccccacccuac. What is prob of picking 2 u and 1 c? 20/323 Two letters picked without replacement from {o: 1, y: 6, j: 10}. Give prob of picking 1 y and 1 o. 3/68 Two letters picked without replacement from fyyraaayyfyar. Give prob of picking 2 y. 5/39 Three letters picked without replacement from {d: 5, z: 8, y: 5}. Give prob of picking 3 y. 5/408 Calculate prob of picking 2 r when two letters picked without replacement from rhrhrrrrrrrhrhrhrrqq. 39/95 What is prob of picking 1 l and 1 s when two letters picked without replacement from lggagaagsaax? 1/66 Two letters picked without replacement from dcydfscfcycfsdfsyf. Give prob of picking 2 s. 1/51 Three letters picked without replacement from {o: 5, w: 2, l: 1, n: 1, f: 1}. What is prob of picking 1 w, 1 o, and 1 f? 1/12 Three letters picked without replacement from gggooggoogg. Give prob of picking 2 o and 1 g. 14/55 Four letters picked without replacement from {b: 5, w: 11}. Give prob of picking 4 b. 1/364 Three letters picked without replacement from rrrrrhqhrrnqqnrnqr. Give prob of picking 1 n, 1 r, and 1 h. 9/136 Three letters picked without replacement from {c: 5, w: 2, t: 2, h: 1, q: 2, a: 1}. What is prob of picking 1 w, 1 t, and 1 c? 10/143 What is prob of picking 1 s and 2 n when three letters picked without replacement from osnsonlll? 1/42 Calculate prob of picking 2 d and 2 a when four letters picked without replacement from daadadxdzzaddaz. 10/91 Calculate prob of picking 1 f, 2 j, and 1 h when four letters picked without replacement from hrfffhfrrahjh. 0 Calculate prob of picking 2 i and 1 s when three letters picked without replacement from {p: 2, s: 2, h: 12, i: 2, v: 1}. 2/969 What is prob of picking 1 u and 1 r when two letters picked without replacement from nrurx? 1/5 Two letters picked without replacement from {c: 3, l: 3}. What is prob of picking 2 c? 1/5 Calculate prob of picking 1 o and 1 c when two letters picked without replacement from pvccpcccompm. 5/66 Calculate prob of picking 2 i and 1 n when three letters picked without replacement from iifinokkkkkf. 3/220 Three letters picked without replacement from {p: 5, v: 5, u: 1, g: 6}. What is prob of picking 3 p? 1/68 What is prob of picking 1 l and 2 e when three letters picked without replacement from {e: 4, l: 3}? 18/35 Two letters picked without replacement from xxxpxp. What is prob of picking 2 p? 1/15 What is prob of picking 1 j and 1 f when two letters picked without replacement from {d: 1, i: 1, j: 3, o: 4, f: 8}? 3/17 Three letters picked without replacement from {m: 2, w: 1, s: 1, u: 1}. Give prob of picking 1 s, 1 m, and 1 u. 1/5 What is prob of picking 4 g when four letters picked without replacement from gggiggigiggggggiig? 143/612 What is prob of picking 1 f and 1 y when two letters picked without replacement from {u: 3, f: 2, y: 3, j: 4, d: 3, g: 1}? 1/20 Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 9, x: 3}. 12/55 Calculate prob of picking 2 f when two letters picked without replacement from yvuuffyvfuvvv. 1/26 Calculate prob of picking 1 y, 1 f, and 1 x when three letters picked without replacement from xfyyxxyyxy. 1/6 Calculate prob of picking 2 k and 1 l when three letters picked without replacement from lklyykkkk. 5/21 What is prob of picking 1 s and 2 z when three letters picked without replacement from mzsmmmzz? 3/56 Four letters picked without replacement from {i: 5, d: 7, a: 8}. Give prob of picking 4 d. 7/969 What is prob of picking 2 z and 1 n when three letters picked without replacement from {z: 2, n: 2}? 1/2 Four letters picked without replacement from ooooooooo. Give prob of picking 4 o. 1 What is prob of picking 3 h and 1 i when four letters picked without replacement from {v: 1, e: 2, l: 6, i: 3, h: 4}? 3/455 Four letters picked without replacement from {t: 1, a: 1, f: 1, d: 2}. Give prob of picking 1 a, 1 d, 1 t, and 1 f. 2/5 Two letters picked without replacement from {j: 3, s: 1, q: 6, e: 2}. What is prob of picking 1 j and 1 s? 1/22 What is prob of picking 4 t when four letters picked without replacement from {i: 3, t: 11}? 30/91 What is prob of picking 1 b and 1 w when two letters picked without replacement from viwbo? 1/10 What is prob of picking 1 n and 1 l when two letters picked without replacement from nnllnnl? 4/7 What is prob of picking 1 o, 1 z, and 1 m when three letters picked without replacement from mzomc? 1/5 Four letters picked without rep
{ "pile_set_name": "DM Mathematics" }
of y. 2, 3 Let l(k) = -k**2 + 11*k - 9. What are the prime factors of l(4)? 19 Let n = 20 + 40. Suppose -b = -5*b + n. List the prime factors of b. 3, 5 Let p(o) = 4*o**3 - 15*o**2 + 5*o - 6. Let w(m) = -7*m**3 + 29*m**2 - 9*m + 13. Let d(v) = -5*p(v) - 3*w(v). What are the prime factors of d(12)? 3, 5 Suppose -2*o + 28 = 4*p, 4*p - 12 + 0 = 2*o. List the prime factors of o. 2 List the prime factors of 28/14 - (1 - 67). 2, 17 Suppose -5*f = -0*f - i, -5*f + 2*i = 0. Suppose f = c - 1 - 4. What are the prime factors of c? 5 Let n = -59 - -132. Suppose 77 + n = 5*r. Suppose -u = -3*y + 3*u + 28, 0 = -2*y - 3*u + r. What are the prime factors of y? 2, 3 Suppose 6 + 0 = 3*w. Let s(l) = 3*l - 19. Let o be s(8). Suppose w*d + z - o*z = 38, 0 = d - z - 18. List the prime factors of d. 17 Let r(k) = -6*k**3 + k**2 - 2. Let o be r(2). Let q = o - -80. What are the prime factors of q? 2, 17 Suppose 12 = 5*x + 2. Suppose 82 = x*y + 3*y + 2*i, 5*i = 3*y - 43. List the prime factors of y. 2 Let b(y) = -y**3 - 7*y**2 - 3*y - 4. Let h be b(-7). Let t = 73 - h. What are the prime factors of t? 2, 7 Let a(i) = -4*i + 7*i - 2 - 2*i. Let o be a(4). Suppose 5 = o*u + 1. List the prime factors of u. 2 Let m be -7*(0 + (-30)/(-7)). Let z be m*(1 + 14/(-10)). Let y = z + -1. List the prime factors of y. 11 Suppose 3*v = -4*v + 406. List the prime factors of v. 2, 29 Suppose 10*k = k + 1647. List the prime factors of k. 3, 61 Let l = 7 - 7. Let z be (l/2)/(-2 - -4). What are the prime factors of z - (-18)/4*2? 3 What are the prime factors of 19/((-26)/(-8) + -3)? 2, 19 Let k = 28 + -26. List the prime factors of k. 2 List the prime factors of ((-227)/7 - 1)/((-3)/14). 2, 3, 13 Let v(i) = -i**3 + 2*i**2 + 3*i + 4. Let k be v(3). List the prime factors of k*((-5)/(-4) - 0). 5 Suppose -k + 8 = -10. Let b = k - 13. Suppose 3*j - b - 4 = -3*h, j + 5 = h. List the prime factors of h. 2 Let q be (2 + 0 + 1)*1. Let d(z) = -2*z**3 + z + 0*z**q + z**3 + 1 + 3*z**2. List the prime factors of d(3). 2 Let g be -6*3/(-6)*3. Suppose -6*v = -g*v + 15. Suppose -v*r = i - 30, -4*r + i + 24 = -2*i. List the prime factors of r. 2, 3 Let y(j) = -3*j**3 - 2*j**2 - 16. Let h(o) = -16*o**3 - 11*o**2 - 80. Let k(t) = 2*h(t) - 11*y(t). What are the prime factors of k(0)? 2 Suppose 2*d = 2*p - 4, 7 + 4 = -3*d + 4*p. Let x = d + 0. What are the prime factors of x? 3 Suppose 0*h = -5*h + 15. Suppose -c = -4*n - 40, -95 = -c - h*c + 3*n. List the prime factors of c. 2, 5 Suppose 7*o - 11*o + 96 = 0. List the prime factors of o. 2, 3 Let n(x) be the third derivative of 0 - 1/24*x**4 + 1/2*x**3 - 3*x**2 + 0*x. List the prime factors of n(-3). 2, 3 Suppose 4*s - 26 = -a, -s + 143 = 3*a - 2*s. What are the prime factors of a? 2, 23 Let w(c) = c**3 + 2*c**2 - 1. Let i be w(-2). Let g = 1 - i. Suppose 4*p - 37 = y, -34 + 13 = -g*p + 3*y. What are the prime factors of p? 3 Suppose 16 = 3*a - 8. List the prime factors of a. 2 Let h(b) = -2*b**3 - 3*b**2 + 4*b + 1. What are the prime factors of h(-3)? 2 Let f(n) = -15*n - 3. Let r be f(-4). What are the prime factors of (r/6*4)/2? 19 Let m be (32/40)/((-4)/10). Let s = 29 - m. List the prime factors of s. 31 Let g = -4 - -5. List the prime factors of 15 + (g - 2/(-1)). 2, 3 Let s be (-1 + 3)/(8/(-160)). Let o = -6 - s. What are the prime factors of o? 2, 17 Let d(g) = -g**2 - 6*g. Let p be d(-5). Suppose -f = 2 - p. Suppose -f*j - 15 = -6*j. What are the prime factors of j? 5 Let z = 8 + -5. Suppose 6*u - z*u + 5*q - 36 = 0, 5*q - 50 = -5*u. List the prime factors of u. 7 Let d(f) = -f. Let z be d(-6). Suppose z*t = 3*t + 45. What are the prime factors of t? 3, 5 Suppose 18 = -y + 5*h, -2*y - 2 - 2 = -2*h. Suppose -1 = -2*n - i + y, 0 = 4*n + 4*i + 4. Suppose o = -n*o + 30. List the prime factors of o. 2, 3 Suppose 0 = 4*y - 103 - 29. Suppose 3*r + y = 6*r. List the prime factors of r. 11 Let y = 12 + -20. Let w = y + 13. Suppose -w*o + 52 = -o. What are the prime factors of o? 13 Suppose -s + 5 = 1. Let h(z) = -z + 5. Let n be h(s). What are the prime factors of (n/1)/((-3)/(-36))? 2, 3 Let r be (99/3)/(-3) - 3. Let l = 36 + r. What are the prime factors of l? 2, 11 Let r(x) be the first derivative of -x**4/4 - 7*x**3/3 - x**2/2 + 2. List the prime factors of r(-7). 7 Suppose -134 = 8*i - 574. What are the prime factors of i? 5, 11 Let t be ((-32)/(-24))/((-4)/(-54)). Let x be (-6)/4*(-16)/6. Let q = t - x. What are the prime factors of q? 2, 7 Let g be 5 - (-3)/(-9)*3. Suppose -4*d = -4*t - 106 + 22, -g*d - t + 69 = 0. List the prime factors of d*-4*(-3)/18. 2, 3 Let z(q) = -6 + 3 + 14 + 10*q - q**2. Suppose -72 = 2*t - 10*t. What are the prime factors of z(t)? 2, 5 Let h be (2/6)/((-2)/(-12)). Suppose 30 = 2*u + u - g, -h*u - 5*g = -3. List the prime factors of u. 3 Suppose -2*o + 3*i = -37, 5*i = 1 - 6. Let f = 42 - o. Let r = -17 + f. List the prime factors of r. 2 Let b = 15 + 25. List the prime factors of b. 2, 5 Let i = -33 + 46. Let s = i + -10. What are the prime factors of s? 3 Let g be (0 - 3/(-3)) + -1. Suppose g = 4*s - 5 - 31. What are the prime factors of s? 3 Let w(u) = u**3 + 4*u**2 + u + 4. Let h be w(-4). Suppose -2*i = 3*v + 2*v - 66, -2*v + 3*i + 34 = h. List the prime factors of v. 2, 7 Let f = -30 + 43. Suppose -3 + f = d. What are the prime factors of d? 2, 5 Let y(v) be the third derivative of -7*v**4/24 - 2*v**3/3 + 6*v**2. List the prime factors of y(-4). 2, 3 Suppose -10*p = -6*p - 808. What are the prime factors of p? 2, 101 Suppose -4*z + 6*z + 6 = 0. Let h(o) = 3 - 2*o + 0*o + o. List the prime factors of h(z). 2, 3 Let x(m) = 13*m**2 + 2*m + 1. Let s(l) = 2 + 8*l + 3 + 1 + l**2. Let v be s(-7). What are the prime factors of x(v)? 2, 3 Suppose -5 = -4*j + 15. Suppose 6 = g - j. List the prime factors of g. 11 Let v be 14/10 - (-3)/5. Let l(z) = 4 - 3*z - 1 - 5 + v*z. What are the prime factors of l(-7)? 5 Suppose -4*r + 3*p = -15, -r = -4*r - 4*p - 20. Let j = r - -2. List the prime factors of 12 + j + 0/(-1). 2, 7 Let t = 282 + -166. What are the prime factors of t? 2, 29 Let u(m) = -33*m + 1. List the prime factors of u(-1). 2, 17 Let l(w) = -2*w + 32. What are the prime factors of l(-12)? 2, 7 Suppose 27*k = 22*k + 215. List the prime factors of k. 43 Let g be (8/(-3))/(4/(-18)). Suppose 2*z + g = 6*z. List the prime factors of z. 3 Suppose -5*c - 38 = 107. Let t = c - -20. Let n = t - -14. What are the prime factors of n? 5 Let p(j) = -j. Let w be p(-2). Suppose w*q = -q. Suppose 2*n - 10 = q, 0*s - 5*s - 4*n = -75. List the prime factors of s. 11 Let b(r) = -21*r. Let t be b(2). Let c = -13 - t. Suppose -9 = 4*p - c, 4*k - 70 = -2*p. List the prime factors of k. 3, 5 Let t(g) = -g**3 + 7*g**2 + 8*g - 1. Suppose 2*b = -2*b + 5*o + 27, -2*b + 3*o + 13 = 0. Let m be t(b). List the prime factors of (m - 9)*10/(-25). 2 Let j(y) = -6*y**3 + 2*y - 4. Let w(v) = 5*v**3 + v**2 - v + 3. Let m(o) = -4*j(o) - 5*w(o). Let b be m(-4). Let s = b + 9. List the prime factors of s. 2, 3 Suppose -4*g - 23 = 3*r + 158, -4*g + 3*r = 211. What are the prime factors of (-21)/g - (-165)/7? 2, 3 Let z(p) = 8*p**2 + 8*p + 8. List the prime factors of z(-4). 2, 13 Suppose -17*c = -4*a - 21*c + 72, c = 5*a - 60. List the prime factors of a. 13 Suppose 3*c + 9 = -3*w, w = 3*w + 8. Suppose -4*v + 31 + c = 0. List the prime factors of v. 2 Let r be (2 + 0 - 9) + -2. Let w = -12 + 27. Let j = w + r. What are the prime factors of j? 2, 3 Suppose 0 = -4*t + 5 + 11. Suppose -t*z + 12 = -20. What are the prime factors of z? 2 Let z be 2/3 - (-10)/(-15). Suppose -2*g + z + 70 = 0. What are the prime factors of g? 5, 7 Suppose -5*z = 5*s - 20, -4*z - 4 = -2*s + 4. Suppose -2*t - 3*t + 5 = z. List the prime factors of t + -6 + 3 + 5. 3 Let o = 12 + -10. Let h = -10 + 14. Suppose 4*b - o*q - 38 = -0*b, -5*b + 67 = h*q. What are the prime factors of b? 11 What are the prime factors of (-2)/4*5*(-20 + -6)? 5, 13 Let x(c) = -c**3 + 9*c**2 - 5*c + 3. Let y be x(8). Suppose -y = -2*i - 1. List the prime factors of i. 13 Let u(d) = 51*d**2 + d - 1. Let g be u(1). Suppose 7*l - 4*f - 67 = 2*l, g = 3*l + 3*f. List the prime factors of l. 3, 5 Let d = 1 + -1. Suppose 0 = 2*f - d*f. Suppose 3*g + 2 - 17 = f. List the prime factors of g. 5 Suppose 5*c = c + 24. Li
{ "pile_set_name": "DM Mathematics" }
se l - 978 = -r*l. Let o = l - 30. What is the hundreds digit of o? 1 What is the hundreds digit of (-148)/(-740) - 79558/(-10)? 9 Let b be (-80)/(-25)*(-5)/(-2)*3. Suppose d + 4*g = 5*g + 16, -4*d - 4*g + b = 0. What is the units digit of d? 1 Let y = 30451 + -17473. What is the units digit of y? 8 Let c be (-27 - 1)/(13 + 18487/(-1421)). Suppose 4*r - c = 1594. What is the units digit of r? 9 Let y(v) = -947*v + 10949. What is the hundreds digit of y(-26)? 5 Let g(b) = 17*b**2 + 4*b - 4. Let j be g(1). Let u = 429 + j. What is the units digit of u? 6 Let a(l) = -16*l**3 + 3 + 17*l**3 - l + 7. Let b be a(0). What is the tens digit of b/3*(0 - -33)? 1 Let v(r) = 2*r**2 + 13*r. Let n(g) = -g**2 - 14*g. Let x(z) = -3*n(z) - 2*v(z). Let k be x(16). Let w(t) = t**2 + t + 31. What is the tens digit of w(k)? 3 What is the thousands digit of -6*(-1 + 3322*(-7)/84)? 1 Suppose -g = -0*g - 4. Suppose 187 = 2*z - g*l - 817, 4*z + 2*l - 2028 = 0. What is the tens digit of z? 0 Let c be (-1 - 3 - -1) + 3. Let x(s) = -s + 23. Let u be x(-14). Let i = c + u. What is the units digit of i? 7 Let t(h) = h**2 + 21*h + 52. Let y be t(-18). Let v be -4 + (-3)/6*260*y. Suppose 4*d - v = 152. What is the units digit of d? 2 Let x be ((-2)/(-6))/(8/59424*-4). Let i = x - -1787. What is the thousands digit of i? 1 Suppose 6484 + 23051 = 17*l - 12*l. What is the hundreds digit of l? 9 Suppose 13*k - 2951 = 2860. What is the hundreds digit of k? 4 Suppose 75 = 3*z - t - 132, 0 = 4*t. Suppose -1129*b + 1130*b = z. What is the tens digit of b? 6 Suppose 40*i = 38*i + 2088. Suppose m + 25*k - i = 29*k, -4*m - 2*k = -4194. What is the units digit of m? 8 Suppose 3*a - 605 = 295. Let j = a + -99. Suppose j = 5*n + v, 3*v - 111 = -5*n + 2*n. What is the units digit of n? 1 Let y(h) be the first derivative of -14 + 8*h**2 + 2*h**2 + 38*h - 12*h**2 + 18*h. What is the units digit of y(0)? 6 Let s(x) = 2*x - 3. Let o be s(1). Let m be o - 3 - -7*6/6. Suppose -m*k = -3*v - 384, 5*k + 0*k = -2*v + 675. What is the units digit of k? 3 Let y(a) be the first derivative of 53*a**4/4 + a**3/3 + a**2/2 + 3*a - 27. What is the hundreds digit of y(2)? 4 Suppose 0 = 2*n + 5*z - 77188, 2*n + z - 8904 = 68252. What is the units digit of n? 4 Let g(r) = -816*r - 214. Let n be g(-10). Suppose 3*w - 4767 = 2*m, 3*m + n = -57*w + 62*w. What is the thousands digit of w? 1 Let g = 72 + -67. Suppose 67*u = 69*u + 438. What is the units digit of u/(-9)*3 - g? 8 Suppose -2*j + 2*i = -52, i - 130 = -5*j + 2*i. Let l = 92 - j. Suppose 35*c + l = 36*c. What is the tens digit of c? 6 What is the hundreds digit of (-1*2)/((15 + -22)/6083)? 7 Let m = 2995 - 1583. Suppose -4*n = 4*x - m, 0 = -2*x - 0*x - 3*n + 706. What is the units digit of x? 3 Let p(d) = 3*d + 10. Let t be (2/2 + (-20)/16)*-12. Let j be p(t). What is the tens digit of j/(3/2 + -1)? 3 What is the ten thousands digit of ((-268)/16 + 15)*-1*6332? 1 Let y = 1786 + -439. Suppose -3*m - 6*q = -2*q - y, -3*q = -2*m + 915. What is the units digit of m? 3 Let w = 346 + -382. What is the units digit of (-1 + (1 - -47))/(-3)*w? 4 Let r(w) = -w**3 + 5*w**2 + 11*w + 8. Let c = -6 + 8. Suppose -c*l + 21 = -0*l - 3*a, 0 = l - 4*a - 18. What is the tens digit of r(l)? 3 Let h = 3 - 1. Suppose 0 = h*q + q - 9. Suppose -o = q*a + 4*o - 234, -4*o = a - 85. What is the tens digit of a? 7 Let x(c) = -161*c - 13. Let k be x(-3). Suppose 5*g + 60 = k. What is the tens digit of 3 - (g/(-6) + 4/6)? 1 Let s(v) = -116 + 65*v**2 + 116 + 2*v. What is the hundreds digit of s(-3)? 5 Let p = 6817 + 16728. What is the tens digit of p? 4 Suppose m - 2*u = -231 + 773, -4 = -4*u. Let g(p) = -2*p - 5. Let f be g(-7). Suppose 0 = -h + f*h - m. What is the tens digit of h? 6 Let z be -3*(-65)/45 - (-2)/(-6). Suppose -437 = -z*a + 167. What is the tens digit of a? 5 Suppose 139*b + 155705 = 144*b + 5*k, -5*b + 2*k + 155747 = 0. What is the units digit of b? 7 Suppose p = 34 + 12. Let x = p - 44. Suppose 6 = -y + 3*z, x*y + 2*z - 14 = y. What is the units digit of y? 6 Let h = -2334 + 7893. What is the thousands digit of h? 5 Let w be (-14)/(-4) - 4/(-16)*2. Suppose -156*h + 155*h + 16 = 0. Suppose -h*n + 11*n = t - 1221, 0 = w*n - 4*t - 972. What is the units digit of n? 4 Let u be -18*(13/(-13) - (-5)/(-3)). Let k = u + 29. What is the units digit of (5 - k/14)/(1/(-138))? 9 Let c be 0*((-2)/2)/(4 - 2). Suppose c = 97*u - 93*u - 1108. What is the units digit of u? 7 Let c = 723 + 2633. Suppose -2*k = -5*q - 548 - 782, 0 = 5*k + 3*q - c. What is the hundreds digit of k? 6 Suppose 170*m + 8820 = 163*m. Let l = -658 - m. What is the hundreds digit of l? 6 Suppose 50*w - 8*w - 1206076 = -180478. What is the units digit of w? 9 Let g = 76 - 145. Let c = g + 68. What is the units digit of ((0 - -27) + c)*(-41 - -43)? 2 Let u = -19 - -15. Let o(m) = -56*m + 19. What is the units digit of o(u)? 3 Suppose -8843*h - 323466 = -8869*h. What is the units digit of h? 1 Let f = -220 + 226. Suppose -f*b + 3*h + 1713 = -3*b, -5*b = -h - 2855. What is the tens digit of b? 7 Let l(g) = -11*g + 11. Let v be l(1). Suppose 4*c = -v*p - p + 259, 4*p - 3*c - 979 = 0. What is the units digit of p? 7 Let g = -34201 + 66803. What is the ten thousands digit of g? 3 Let j(x) = 5*x**2 - 10*x - 10. Suppose -5*k - 5 = -2*z, -2*z - 5*k + 15 = -0*z. Let a be j(z). What is the units digit of a - (6 + 3)/3? 2 Let t(z) = 5*z**3 - 8*z**2 + 8*z + 31. Let l(d) = -6*d**3 + 11*d**2 - 7*d - 30. Let m(g) = -4*l(g) - 5*t(g). What is the units digit of m(-8)? 7 Let p(q) = q**2 + 5*q + 6. Let l be p(8). Let u = -105 + l. Suppose -638 = -7*m + 2*m - 2*b, 0 = u*m + 5*b - 635. What is the units digit of m? 8 Let f be 3/((-36)/(-8) + -3). Let d(v) = 97*v**2 - 6*v + 7. What is the units digit of d(f)? 3 Let v be ((-204456)/(-224))/(2/8). Suppose 2*c - 1462 = -2*p, -19*p + 22*p - v = -5*c. What is the tens digit of c? 2 Suppose -259967 = 124*k - 2108187. What is the hundreds digit of k? 9 Let i = 2214 + 5432. What is the hundreds digit of i? 6 Suppose 85*a = 212*a + 50*a - 3348486. What is the thousands digit of a? 8 Let f = -48133 - -118448. What is the tens digit of f? 1 Let v(z) = 8*z - 4. Let l be v(-7). Let p be 4/(-18) + (-2398)/(-18). Let b = l + p. What is the tens digit of b? 7 Suppose 3*r - 511 = -4*r. Let f = -68 + r. Suppose c = 4, 4*t = f*c - 2*c + 300. What is the units digit of t? 8 Suppose 1996 = 4*a + 17*a - 10814. What is the units digit of a? 0 Let m = 44 - -49. Suppose -315 - m = -8*u. Suppose 10*s = u + 399. What is the units digit of s? 5 Let f(j) = 10*j + 1. Suppose -10 = -2*d - 3*d. Suppose 5*p - 3 = d*p. What is the units digit of f(p)? 1 Let c(j) = -17*j**3 - 35 - 2*j - 37 + 75. What is the units digit of c(-3)? 8 Let h(t) = t + 18. Let n be h(7). Suppose 21 = -z + 3*w, -4*w = 5*z - 3*w + n. Let c(k) = -2*k**3 - 5*k**2 + k - 18. What is the tens digit of c(z)? 2 Let s(u) = -u**3 - 15*u**2 - 15*u - 5. Let n be s(-13). Let o = n - -302. What is the tens digit of o? 5 Suppose -94*u + 3*s + 91801 = -89*u, -u - 5*s = -18349. What is the units digit of u? 9 Let x(i) = -i**3 + 78*i**2 - 54*i + 293. What is the hundreds digit of x(42)? 5 Let l(r) be the second derivative of -251*r**3/3 + 10*r**2 - 200*r. What is the hundreds digit of l(-2)? 0 Let n = 3736 + 26800. What is the hundreds digit of n? 5 Let u(g) = 2*g**2 + 15*g + 10. Suppose 2*r - 146 = -42. Let d = 42 - r. What is the units digit of u(d)? 0 Suppose 2*l = -2*l + 4*h - 28, 4*h = 3*l + 25. Let x(v) = -4*v - 12. Let s be x(l). Suppose 2*z + 2*n = 92, 4*z + s*z = 2*n + 160. What is the tens digit of z? 4 Suppose -357656 + 3314500 = 268*g. What is the thousands digit of g? 1 Let j(o) = 2*o**2 + 195*o + 179. What is the thousands digit of j(77)? 7 Suppose 39 = -x + 3*k + 616, 0 = 5*x - 3*k - 2945. Let r = 47 + x. What is the units digit of r? 9 Let r(x) = -3*x**3 - x**2 + x + 1239. Let n be r(0). Let a = -683 + n. What is the units digit of a? 6 Suppose t + 3 + 5 = 3*b, -24 = -5*b - t. Suppose -496 = b*f - 5*f + 3*q, 3*f = 5*q + 1488. What is the hundreds digit of f? 4 Suppose 85187 = 93*j - 47896. What is the thousands digit of j? 1 Let s(h) = 14429*h - 208. What is the tens digit of s(1)? 2 What is the thousands digit of 7509/((-15)/3 - -6)? 7 Let
{ "pile_set_name": "DM Mathematics" }
-102.813. Let a = r - -102. Which is greater: a or -49? a Let a = 422 - 389. Let j be (55/a)/((-4)/48). Which is greater: j or 2/5? 2/5 Suppose 5*p - t = -98, 5*p + 25 + 85 = 5*t. Let k be 4/(6/15 - (-24)/(-110)). Let m = k + p. Is m greater than or equal to -0.3? True Suppose -5*v + 8 = -k, 8*v - 4*k + 14 = 11*v. Let m be (-2 - v)/(-4) - (-2)/3. Is m bigger than 2? False Let n be (2 + 266/(-130))/(1317/(-4390)). Let c(h) = h - 3. Let u be c(3). Are u and n non-equal? True Let l = -3 - 0. Let f = l + 4. Let x be (((-27)/(-4))/(-9))/(27/(-12)). Is f bigger than x? True Suppose 72*q + 31414 - 11863 + 30561 = 0. Is q equal to -696? True Let t = 369 - 366. Suppose 4*m + z + 17 = 0, -10 = 5*z - t*z. Is -28/11 > m? True Suppose 4*o + 5*a - 12942 = 26389, 39304 = 4*o - 4*a. Is 9829 >= o? True Suppose -3883 = -89*j + 140*j - 23059. Is 369 greater than or equal to j? False Suppose 0*l + 829 = 3*a - 5*l, -a = -4*l - 288. Suppose -20 = 4*p + a. Let n be (-1)/30*(-45)/p. Is -1 greater than or equal to n? False Let i(z) = -4*z**3 - 5*z**2 - 3*z + 4. Let j be i(-3). Suppose -u = -2*u - 78. Let w = u + j. Is w greater than -8/7? False Suppose -1 = r - m, 0 = r - 4*m - 78 + 85. Which is bigger: r or 16/167? r Let w(g) = g**2 + 8*g - 5. Let j be w(-9). Suppose 10*l = j*l + 216. Suppose l = z - 3*s, 2*z - 2*s + 104 = 4*z. Is z < -2/5? False Let t(l) = 361*l**2 - 634*l + 20. Let k be t(5). Which is bigger: k or 5874? k Let i be (8/(-97300))/((-8)/40). Let o = 82693/29190 + i. Let y be 2/12*(-3)/2. Do y and o have the same value? False Suppose -3*h - 3*p - 603 = h, -5*p = -5*h - 780. Let x = 143 + h. Let s be ((-142)/8)/(x/8) + 3. Which is smaller: 1 or s? 1 Let d be 5 + (-16)/(160/490). Which is smaller: 14 or d? d Let d = 31.4 - 35. Let w = 6.67 + d. Let v = -0.07 + w. Is v less than -0.4? False Suppose 8*g - 876 = 12*g + 5*q, q = -4*g - 876. Which is greater: g or -221? g Let p = 300.19 - 300. Let g = p - 0.49. Do g and 65 have the same value? False Let j be (5 - 2)/(((-195)/40)/(-13)). Suppose -4*f + 14 = a, 5*f = -j*a + 4*a + 23. Are 3/2 and a equal? False Let a be (21/4)/(13/52). Suppose 2*w - 3*i + 1 + 4 = 0, -5*w + 4*i = -5. Let x be -10*4*w/(-10). Which is smaller: x or a? x Let l(a) = a**3 - 9*a**2 - 7*a - 26. Let y be l(10). Let t be 219/(-2)*(-2)/y. Let f = 2553/44 - t. Are f and 4 equal? False Let l(q) = -25 - q**3 + 6 - 43 + 0*q + q**2 - 3*q - 19. Let v be l(0). Is v at least -81? True Suppose 194 + 499 = -11*u. Let c = -57 - u. Let d(q) = -7*q**3 - q. Let t be d(-1). Are c and t non-equal? True Let s(v) = -v**3 - v**2 + 1. Let u(y) = 4*y**3 + 15*y**2 - 17*y - 63. Let p(t) = 3*s(t) + u(t). Let k be p(-13). Is -4 != k? True Let o(s) = -s**2 + 6*s - 3. Let b be o(5). Let j = -4 + 21. Suppose 0*d = -d - 4*k + 10, -b*d - 5*k + j = 0. Is d not equal to 0? True Let t(j) = -208*j - 343. Let h be t(-4). Are h and 6 non-equal? True Let m(k) = k**2 - 33*k + 269. Let o be m(15). Which is bigger: o or -1408? o Let t be (-4675 - -163) + 2*3/2. Is t bigger than -4509? False Let j be (15/50)/(2/1090). Let g = j + -163. Which is smaller: 1 or g? g Let p = 1091 + -1723. Let c = p - -631. Which is bigger: c or -181? c Let w(k) = 5*k + 2. Let f be w(5). Suppose -118 = -4*u - 0*u + 2*y, 0 = u - 3*y - f. Let z be (14/(-7) + -2)*u/8. Which is greater: -1/2 or z? -1/2 Let k be (-98)/490 - 2/((-120)/(-3188)). Suppose -f - 2*w - 50 = -4*w, 0 = -2*w - 4. Is k less than or equal to f? False Suppose -45750 = -1511*y + 1536*y. Is y not equal to -1830? False Let g = -3464.2 - -3467. Is g greater than or equal to 18/5? False Let x = 1898 - 1896. Do 7 and x have the same value? False Suppose 45 = 5*q - 0*q. Let s(a) = 7*a - 17. Let c(j) = j. Let y(b) = 5*c(b) - s(b). Let m be y(q). Which is smaller: m or 2/11? m Let w be 243/36 + (-21)/28. Which is bigger: 278 or w? 278 Suppose 13*i = 9*i. Suppose 2*f = 6*f - 2*o, 4*f - o = i. Suppose f = 6*x - 5*x. Is x <= 5/11? True Let b be (-1 + 6/5)*-2 + (-2233936)/(-1290). Is 1730 greater than or equal to b? False Let o be (420/36 + 15)/((-22)/(-3)). Suppose 4*k = -k - 5*t + 55, 5*k - 51 = -3*t. Suppose -2*a = 0, 0*g - 3*a = -3*g + k. Which is smaller: o or g? g Suppose -6*v + v = -80. Let t = 548 + -541. Which is greater: t or v? v Let z be (-165)/1485*(1 + -4). Suppose 0 = -2*d + 23 + 113. Which is bigger: z or d? d Let h be 3/4 + (-3234)/4248. Let w = h + 40/59. Which is smaller: w or -2/5? -2/5 Let t = -401 + 760. Let m = t + -359. Which is greater: 8/5 or m? 8/5 Let r(v) = 55*v**2 + v**3 - 1092*v + 56 + 532*v + 616*v. Let d be r(-54). Is -54 != d? True Let d = 16216 + -81696/5. Let j = -32678/265 - d. Which is smaller: 0 or j? j Let d = -720 + 716. Let a be ((-1)/d - (-259)/148)/2. Which is smaller: a or -1/403? -1/403 Let i(l) = 4*l**2 - 209*l + 105. Let h be i(53). Which is greater: h or 262? h Suppose -810 = 7*d - 22*d. Let q be 3*(-26)/d - 1. Which is smaller: -2 or q? q Suppose -o + 2*a + 19 = 0, 19*o - 24*o + a = -59. Suppose 0 = -4*d + o*s - 10*s + 825, 3*s + 630 = 3*d. Do 203 and d have different values? True Let y = -5591 + 5540. Let d be (18/(-10))/((-8)/(-220)). Is y not equal to d? True Let i be 9642/10*10/36. Which is greater: 267 or i? i Let d(k) = k**2 - 11*k - 4. Let n be d(11). Let v = n - -14. Let r be (-16)/v - 2/5. Are 4 and r equal? False Let m be 2910/4*(-28)/(-21) + -5. Let x be (-6)/45*5*(-3)/m. Is -1 greater than or equal to x? False Let q = 6 + -1. Suppose -q*g - v + 3*v = -32, -4 = 4*v. Suppose 5*u + 24 = 2*f, 4 = 4*f + u - 0*u. Is g at least as big as f? True Suppose 32 = -3*g - s, -4*g + 4*s + 47 = -7*g. Let z(w) = -w**2 - 4*w + 5. Let l be z(-5). Let p be l + g/3*1/(-1). Is p equal to -2? False Let b be (-6)/(-3)*((-40)/(-48) + 22/(-3)). Let h(v) be the first derivative of v**2/2 - v + 1. Let s be h(-1). Is b greater than s? False Let n = 212 + -206.68. Let a = 4.32 - n. Which is greater: a or -33? a Let m = 1249777/5 + -248964. Is m less than 992? True Let f = 0.659 - 0.804. Is f not equal to -2? True Let q be 7/(-2)*36/(-51). Let y(c) = -51*c - 101. Let z be y(-2). Which is greater: q or z? q Let a be (39600/513)/22 - 4. Which is smaller: 1 or a? a Let r be 1*(5 + 3 - 5). Let s be 0 - -1 - (-142 + r). Is 140 less than or equal to s? True Let h be 24/(-16)*(1 + (-15)/9). Suppose 7*j - 1 = -h. Let v = 43/5 - 893/105. Is v <= j? False Let p(l) = -25*l - 1. Let r be p(2). Let h(x) = -x**3 - 5*x**2 - 2*x + 5. Let i be h(-4). Is i bigger than r? True Let d = 160 - 12. Suppose -d*m - 368 = -140*m. Which is smaller: -89/2 or m? m Suppose 0 = -9*c + 5*c - 3*w - 2348, -2928 = 5*c + 2*w. Let q = 712 + c. Which is smaller: 130 or q? q Let q = -65/14 - -36/7. Let g(i) be the first derivative of i**4/4 + 7*i**3/3 - 9*i**2/2 - 7*i - 14. Let v be g(-8). Is v < q? False Suppose -5*z + 4*y = 21, 8*z + 25*y - 8 = 21*y. Which is bigger: -1/7180 or z? -1/7180 Suppose z + 13 = -5*v - 85, z = 3*v - 58. Let q = z - -75. Suppose -3*f + l + q*l = -15, 3*f - 17 = 4*l. Do 5 and f have the same value? False Suppose -q + 22 = -3*g, 4*q + 0*g = 4*g + 88. Let i be (q/77 - 37/7)*-3. Suppose 4*h + l - 5*l = 76, -5*h - 3*l = -63. Is h <= i? True Let p(t) = -2*t**2 - 27*t + 9. Let f be p(-14). Let r be 49/7 - (3 - f). Is r > -12/59? False Let d(g) = -3*g**3 - g**2 - g - 2. Suppose 3*r = 15, 0*p + 5*r = -5*p + 25. Let c be d(p). Is -5 less than or equal to c? True Let o = -1250722831/168165 + 554/18685. Let l = o + 7445. Is 8 >= l? True Suppose 44*b = -28 + 28. Let s = 32138/1159867 - -4/5497. Which is bigger: s or b? s Let j be 108/12 - (-5 + 24). Which is smaller: j or -138/13? -138/13 Let u = -23225 + 22920. Is -304 >= u? True Suppose -996 - 8754 = -6*a. Let d be 30/26 - 1 - (-400)/a. Suppose -5*m - 26 = -3*j, 3*m = 2*j + j - 18. Which is bigger: d or m? d Let t = -12 - -13. Let a = -78 + 79. Let p be -16 + 0/(-4 - a). Is t > p? True Let n be ((60/(-24))/(50/480))/((-3)/32). Is -25 at least n? False Let c = -19253 - -9507. Is c smaller than -9746? False Let h(j) = 7*j - 36. Let l(m) = 14 + 15*m - 54 - 31. Let a(n) = 5*h(n) - 2*l(n). Let t be a(9). Which is bigger: 5 or t? t Suppose -4*y + 733*a - 2796 = 730*a, 3*y - 4*a = -2097. Is y greater than -694? False Let o be -1 + 1 + (6 - -3). Suppose -o = -7*k + 19. Suppose r = -5*i + 12,
{ "pile_set_name": "DM Mathematics" }
Let d(j) = 5*j**2 + 172*j + 1465. What are the prime factors of d(-60)? 5, 31, 59 Let m be 1/(-2) + 486050/100. Suppose -4752 = -6*i + m. What are the prime factors of i? 2, 3, 89 List the prime factors of 11773 - (-13 + 22 + -6). 2, 5, 11, 107 Let w = -199 - -227. Suppose -9*z + 4292 = w*z. List the prime factors of z. 2, 29 Suppose 110*a - 10*a = 675300. What are the prime factors of a? 3, 2251 Let x(p) = -310 + 380 - 5*p - p**2 - 5*p. List the prime factors of x(0). 2, 5, 7 Let g(s) = -2*s**3 + 11*s**2 + 5. Let r(x) = -x**3 + 6*x**2 - x + 8. Let t be r(6). Let y = t + 3. List the prime factors of g(y). 2, 3, 5 Let b = 4953 + -4949. Let k(f) be the first derivative of f**2/2 + 20*f + 1. List the prime factors of k(b). 2, 3 Let h = 213 + -208. Suppose 0 = 3*f + b - 3084 - 1595, -h*f - 2*b = -7800. List the prime factors of f. 2, 19, 41 Let v(a) = -34*a**3 - 15*a**2 - 52*a - 161. List the prime factors of v(-5). 2, 1987 Suppose -10*r = -45 - 35. Suppose 64 = -7*b + r*b. What are the prime factors of (b/10)/(22/5 - 4)? 2 Let a(i) = 444*i + 414. What are the prime factors of a(2)? 2, 3, 7, 31 Let u = 26834 + -18740. What are the prime factors of u? 2, 3, 19, 71 What are the prime factors of ((-27336)/(-32))/((-51)/(-272))? 2, 17, 67 Suppose 12*u - 4*u + 8 = 0. What are the prime factors of (3 - 5 - 405)/u? 11, 37 Let t be (4*22)/(-3 + 2). Suppose -c + 5*w + 176 = 0, 35*c + 192 = 36*c + 3*w. Let p = t + c. What are the prime factors of p? 2, 7 Let n(f) = 5*f - 44. Suppose -4*j = 3*b - 7*b - 52, -4*b - 12 = 0. Let i be n(j). Suppose 972 = i*h + 204. What are the prime factors of h? 2 Let j = -9394 + 11663. List the prime factors of j. 2269 Suppose 13 = w - 4*z, 14*w - 3*z = 11*w + 12. What are the prime factors of (w + -5*3)/((-51)/4539)? 2, 7, 89 Let p = -40 - -44. Let r(j) = -8*j**2 + 18*j + 6. Let m(w) = 7*w**2 - 18*w - 5. Let i(n) = p*m(n) + 3*r(n). What are the prime factors of i(8)? 2, 5, 11 Suppose d - 4890 = 874. What are the prime factors of d? 2, 11, 131 Let q(r) = -r**3 + 5*r + 4. Let c be q(-2). Suppose d = o, d + d = c. What are the prime factors of o - (-20 - (3 - 5))? 19 Let l(k) = -k**2 + k + 80. Let z be l(0). Suppose -4*m = -0*m + z. Let g = m - -30. What are the prime factors of g? 2, 5 Let c be (-2 - -5)*((-16)/12 + 2). Let l(a) = c*a**2 - 2 + 2*a - a - 25*a**3 - 234*a**3 + 1. List the prime factors of l(-1). 7, 37 Let l(j) = -j - 4. Let b be l(-12). Let n(c) = 0 + 3 + 93*c**2 + 8 + b*c - 92*c**2. What are the prime factors of n(-11)? 2, 11 What are the prime factors of 8*17190/72*38? 2, 5, 19, 191 Let i(a) be the first derivative of 11*a**3/3 + 3*a**2/2 + 2*a + 8. Let t be i(2). List the prime factors of 3/(4/(t/3)). 13 Let a = 224 - 230. List the prime factors of -2*a/(-4) - (-23452)/52. 2, 7 Let g = -4782 + 9428. List the prime factors of g. 2, 23, 101 Let v be -4*(-4)/32*5462 - 1. What are the prime factors of -2 - (1 - v/7)? 3, 43 Let n = 1222 + 279. What are the prime factors of n? 19, 79 Suppose -4*o - 2*k - 546 = 0, -2*k = 7*o - 6*o + 132. Let n = 121 - o. List the prime factors of n. 7, 37 What are the prime factors of ((-14864)/14)/(58/(-609))? 2, 3, 929 Let p(t) = -24*t**2 - 8*t - 65. Let c be p(-6). Let x = -373 - c. List the prime factors of x. 2, 127 Let n(z) = z**3 - 6*z**2 - 11*z + 16. Let q be n(7). Let i = 14 + q. What are the prime factors of (i - 0) + (-13 - -56)? 3, 5 Suppose 6*h = 11*h - 25. Suppose -2*u + h = -5, -3*n - 4*u + 170 = 0. Suppose 5*s = -2*b + 250 + 60, -2*b - n = -s. List the prime factors of s. 2, 3, 5 Let i = 19 - 29. Let h be ((-108)/15)/(-2) - 4/i. Suppose 0 = 5*p + h*l - 631, l - 125 = -p - l. List the prime factors of p. 127 Suppose -n = i - 2*i + 15, 3*i - 49 = 4*n. Suppose 8*q = i*q - 222. What are the prime factors of q? 2, 37 Let g(l) be the first derivative of 4*l**3/3 - 11*l**2/2 + 297*l + 103. What are the prime factors of g(12)? 3, 13, 19 Suppose 33*p - 5*l - 235 = 38*p, 5*l = -4*p - 189. Let f be (0 - 1)*(-1 + -66). Let a = f - p. List the prime factors of a. 113 Suppose -6*c + 5*d = -2*c - 27910, -3*d - 34894 = -5*c. What are the prime factors of c? 2, 5, 349 Suppose -23 = -5*j + 27. Let t(b) = 2*b + 67. Let d be t(-17). Let z = j + d. List the prime factors of z. 43 Let b = 544 - 544. Suppose b = -y + 551 - 83. List the prime factors of y. 2, 3, 13 Let w = 12743 + -3662. What are the prime factors of w? 3, 1009 Suppose -5*k + 10 = -2*u - 14, 3*u - 2*k + 14 = 0. Let y be (-2)/6*(2628/u)/6. Suppose -6*x = -5*x - y. What are the prime factors of x? 73 Suppose 4*v - 2 = 10. Let f be -1 + 2 + v - (-6)/2. Suppose -18*o + 2838 = -f*o. What are the prime factors of o? 2, 3, 43 Let p(l) = 2*l**2 - 58*l + 9. Let i be p(32). Suppose -5*w + 651 = -3*o - i, 0 = -3*w - 5*o + 484. What are the prime factors of w? 2, 3, 7 Let s(z) = 427*z + 175. Let n be s(6). Suppose -3*f + 107 + 1548 = -4*h, 5*f + 4*h - n = 0. List the prime factors of f. 3, 61 Let c(l) = 6*l**2 + 8*l + 1. Let u be c(-4). Let t = u - 72. List the prime factors of (-1917)/t - ((-24)/21 - -1). 2, 137 Let j(x) = 1. Let r(v) = v**2 - 5*v - 31. Let l(y) = -6*j(y) + r(y). What are the prime factors of l(17)? 167 Let k = -28380 + 40588. List the prime factors of k. 2, 7, 109 Let d be 2/(-7) - (-1770)/21. Let q = 171 + d. Suppose -2*a = -7*a + 2*i + q, 0 = 5*a - i - 260. List the prime factors of a. 53 Let h be 10 + 6/6 + -2. Let l(x) = 54*x - 7. List the prime factors of l(h). 479 What are the prime factors of (-7253176)/(-392) - 22/2? 2, 3, 23, 67 Let d(r) be the second derivative of -76*r**3/3 - r**2 + r. Let b be d(-2). List the prime factors of (-2)/3 + b/3 + 2. 2, 3, 17 Suppose -d + 271 = -m, 5*d - 3*m - 1365 = -0*m. Suppose 6*y - d = 660. List the prime factors of y. 2, 3, 13 List the prime factors of 34/((-7 - (-286480)/40928)/((-1)/4)). 17, 1279 Suppose 4 = k - 0*k. Suppose 10500 = -55*l + 62*l. Suppose 0 = k*u - 9*u + l. List the prime factors of u. 2, 3, 5 Let y be (-268)/(-22) + 8/(-44). Let f(v) = -10 + 2 - y*v + 9 + v**2 + 10. What are the prime factors of f(19)? 2, 3 Suppose 127810 = 3*s - 7*h + 25712, -2*s + 68037 = h. List the prime factors of s. 13, 2617 Let m = 33542 + -16701. What are the prime factors of m? 11, 1531 Let a = 283 - 281. Suppose 2*c - 4 = -2*c, -a*c - 1178 = -5*w. List the prime factors of w. 2, 59 Let n = 10629 - 7342. List the prime factors of n. 19, 173 Let g = 25136 - -10419. What are the prime factors of g? 5, 13, 547 Suppose -70 = -j - 13*j. List the prime factors of ((-566)/(-3))/(-4*j/(-90)). 3, 283 Suppose 3*b = -5*v - 0 - 1, 0 = -2*b + 2*v + 10. Let m be (2/b)/(8/84). Suppose 40 = m*w - 121. What are the prime factors of w? 23 Let k(x) = -x**2 - 12*x + 15. Let r be k(-13). Suppose -5*a = r*h + 3*h + 65, -a = -4*h + 3. Let u(q) = 2*q + 59. List the prime factors of u(a). 37 What are the prime factors of 4*((-200)/(-250) - (-9466)/5)? 2, 947 Let v be (9/6)/((-6)/(-4)) + 891. Let w = v - 560. List the prime factors of w. 2, 83 Let k be (7 - 2)*(-2)/(4/(-18)). Let w = -95 - -169. Let u = w - k. What are the prime factors of u? 29 Let n = 174 - -8. Let c = 410 - n. Suppose 3*f - c - 471 = 0. List the prime factors of f. 233 Suppose -20*y - 238*y = -62*y - 1567216. List the prime factors of y. 2, 1999 Let l(s) = -5385*s - 1544. List the prime factors of l(-2). 2, 7, 659 What are the prime factors of 8/(-14) - (13878630/(-238) + 31)? 2, 7, 23, 181 Let k be 27*(-5 + 636) - (2 + -2). What are the prime factors of k/108 - (-1 + 6/8)? 2, 79 Let k(z) = -22*z + 43. Let f(d) = -285*d + 558. Let x(l) = 4*f(l) - 54*k(l). What are the prime factors of x(14)? 2, 3, 97 Suppose 202*q - 44275 = 191*q. List the prime factors of q. 5, 7, 23 Let n(b) = 3*b**2 - 23*b + 10. Let o be n(5). What are the prime factors of -1 - (-5)/(o/(-1086))? 2, 3, 5 Suppose 0 = 16*g + 12*g - 41720. Let d = g + -159. List the prime factors of d. 11 Suppose 18414*f + 328265 = 18421*f. List the prime factors of f. 5, 83, 113 Suppose -14560 + 1545 = -5*t. Let p = -1434 + t. Suppose 2*q = s + 472, 0 = 5*q + 3*s - 0*s - p. What are the prime factors of q? 5, 47 Let o be ((-17272)/(-48) - -5) + (-2)/(-12). Suppose 0 = -8*v + 267 + o. List the prime factors of v. 79 Let o(c) = -18*c + 10. Let w(k) = -k**3 + 2*k**2 + k. Let z be w(2
{ "pile_set_name": "DM Mathematics" }
= 0. Calculate h. -1, -2/3, 0 Let x(d) be the second derivative of 2*d**7/105 + 2*d**6/15 + 3*d**5/25 - d**4/3 - 8*d**3/15 + 6*d. Determine p, given that x(p) = 0. -4, -1, 0, 1 Let o(s) be the second derivative of 1/45*s**6 - 1/36*s**3 + 0*s**2 - 1/18*s**4 + 0 + 3*s + 1/120*s**5. Find p, given that o(p) = 0. -1, -1/4, 0, 1 Suppose -2 = -x + 2*x. Let t be x/2*(-3)/9. Solve 2/3*b**2 - 1/3*b - 2/3 + t*b**3 = 0. -2, -1, 1 Let t be 1*-1 - (-14)/7. Let i(m) = 2*m**2 + 3*m - t + m**2 - m - 1. Let r(y) = 15*y**2 + 11*y - 11. Let w(h) = 11*i(h) - 2*r(h). Factor w(f). 3*f**2 Let i(f) = -4*f**3 + 4*f**2 + 9*f - 4. Let g(c) = 4*c**3 - 4*c**2 - 8*c + 4. Let k(d) = 5*g(d) + 4*i(d). Find m, given that k(m) = 0. -1, 1 Let m(b) = b**2 + 2*b + 2. Let r = 3 + -5. Let j be m(r). Let 8/5*f + 12/5*f**j + 2/5*f**4 + 8/5*f**3 + 2/5 = 0. Calculate f. -1 Let w = 13572/385 - 246/7. Let z(b) be the first derivative of -4/11*b**3 - w*b**5 + 1 + 4/11*b**4 + 2/11*b + 0*b**2. Factor z(o). -2*(o - 1)**3*(3*o + 1)/11 Factor 0 - 2/7*k + 2/7*k**2. 2*k*(k - 1)/7 Suppose 2*o = 3 + 1. Let c(g) be the second derivative of 1/135*g**6 - 1/90*g**5 + 0*g**o - 1/54*g**4 + 1/189*g**7 - 2*g + 0 + 0*g**3. Factor c(l). 2*l**2*(l - 1)*(l + 1)**2/9 Determine f so that 3/4*f**2 + 1/2*f - 1/4 = 0. -1, 1/3 Factor 0*t - 5*t - 3*t**3 - 15*t**2 - 12 - 19*t. -3*(t + 1)*(t + 2)**2 Let o(n) be the first derivative of -n**4/18 + n**3/9 + 9*n + 3. Let y(m) be the first derivative of o(m). Factor y(h). -2*h*(h - 1)/3 Let q be 4/12 - (-3292)/(-30). Let k = 111 + q. Factor 16/5*p + 2/5*p**3 - k - 2*p**2. 2*(p - 2)**2*(p - 1)/5 Let o = 71 - 353/5. Factor 8/5 + 0*a - o*a**2. -2*(a - 2)*(a + 2)/5 Let d(y) be the first derivative of y**7/105 - y**6/30 + y**4/6 - y**3/3 - 11*y**2/2 + 8. Let a(i) be the second derivative of d(i). Let a(m) = 0. What is m? -1, 1 What is v in 5838*v - 5838*v + 4*v**2 - 8*v**3 - 5*v**4 = 0? -2, 0, 2/5 Solve 0 + 1/3*s**5 - s**3 - 1/3*s**2 + 1/3*s**4 + 2/3*s = 0. -2, -1, 0, 1 Solve 26 + 2*v + 7*v**3 - 2*v**3 - 26 - 7*v**2 = 0. 0, 2/5, 1 Determine p, given that 42/13*p**2 + 10*p + 4/13*p**4 + 50/13 - 34/13*p**3 = 0. -1, -1/2, 5 Let c(l) be the second derivative of -4*l**7/21 - l**6/3 + 3*l**5/10 + 5*l**4/6 + l**3/3 - 5*l. Determine w, given that c(w) = 0. -1, -1/4, 0, 1 Let p(k) = -k**3 - k. Let c(h) = 10*h**3 - 10*h**2 - 8*h. Let y(q) = -q + 2. Let a be y(6). Let o(v) = a*p(v) + c(v). Factor o(n). 2*n*(n - 1)*(7*n + 2) Let f be 0*(-2)/4*14/42. Let n be 4/(-2)*2/(-10). Factor -n*z + f + 2/5*z**2. 2*z*(z - 1)/5 Let w(f) = f. Let p(s) = s**3 - s**2 + 8*s + 1. Suppose d = -2 + 4. Let c(q) = d*p(q) - 18*w(q). Factor c(r). 2*(r - 1)**2*(r + 1) Let v = 2 + -2. Let q be (-2 - (v + 0))*-1. Find r, given that -r + 4*r**q - r + 2 + r**3 + 7*r = 0. -2, -1 Let d be -4*((-30)/(-8))/5. Let o be 2*(-1)/(2 + d). Factor -6*t**2 + 0 + 5*t**o + 1. -(t - 1)*(t + 1) Let j(k) be the second derivative of -k**5/5 + 4*k**4/9 - 2*k**3/9 - 11*k. Solve j(t) = 0 for t. 0, 1/3, 1 Let h(x) be the first derivative of -x**7/945 + x**6/540 + x**5/270 - x**4/108 + x**2 - 3. Let j(q) be the second derivative of h(q). Solve j(y) = 0 for y. -1, 0, 1 Let g(d) be the first derivative of -2*d**5/5 + 3*d**4/4 + d**3/3 - 3*d**2/2 + d + 3. Factor g(f). -(f - 1)**2*(f + 1)*(2*f - 1) Let x(q) be the first derivative of -3 + 0*q**3 + 2/15*q**5 + 0*q**2 + 1/9*q**6 + 0*q**4 + 0*q. Factor x(s). 2*s**4*(s + 1)/3 Let i(s) be the third derivative of s**8/26880 + s**7/5040 + s**6/2880 + s**4/24 + 4*s**2. Let b(k) be the second derivative of i(k). Solve b(v) = 0. -1, 0 Suppose n - 5*n + 8 = 0. What is f in 3*f**2 + 3*f**3 + 4*f**2 - 3*f - 3 - 4*f**n = 0? -1, 1 Let s(u) = -u**3 + u - 1. Let l(a) = 6*a**3 - 6*a + 4. Let m(i) = -l(i) - 4*s(i). Factor m(b). -2*b*(b - 1)*(b + 1) Let 4*p**4 - 9*p**2 + p**2 - 26 + 30 = 0. What is p? -1, 1 Let i = -59/7 + 323/35. Solve i - 14/5*v + 2*v**2 = 0. 2/5, 1 Determine t, given that -1/2*t + 1/4*t**4 - 3/4*t**2 + 0 + 0*t**3 = 0. -1, 0, 2 Let i = -2 + 9. Let a = -8 + 8. Solve -4*h**2 - 4 + h**3 + i*h**2 + a*h**2 = 0. -2, 1 Factor -3/4*q**3 + 0 - 3/4*q**4 + 9*q + 6*q**2. -3*q*(q - 3)*(q + 2)**2/4 Let -2/23*c**3 + 0 - 2/23*c - 4/23*c**2 = 0. What is c? -1, 0 What is m in 1/4 - 1/4*m**2 + 0*m = 0? -1, 1 Suppose 32 = 10*r + 6*r. Factor -2/5 + 4/5*h - 2/5*h**r. -2*(h - 1)**2/5 Let n(c) be the second derivative of -16/21*c**3 - 5/42*c**4 - 4/7*c**2 + 5/14*c**5 + 0 - 3*c. Find v, given that n(v) = 0. -2/5, 1 Let i(c) be the second derivative of c**5/20 + 3*c**4/20 - 17*c**3/30 + 3*c**2/10 - 9*c. Factor i(v). (v - 1)*(v + 3)*(5*v - 1)/5 Factor 1/5*i**2 - 2/5*i + 1/5. (i - 1)**2/5 Let j(o) be the second derivative of 0*o**3 - 1/20*o**5 + 0*o**2 + 0 - 4*o + 1/60*o**6 + 1/24*o**4. Solve j(c) = 0 for c. 0, 1 Let i(w) be the second derivative of w**6/60 + w**5/40 - w**4/24 - w**3/12 + 4*w. Factor i(c). c*(c - 1)*(c + 1)**2/2 Let p(g) = -3*g. Let a(v) = -v**2 + 4*v + 1. Let u(i) = -3*a(i) - 4*p(i). Find n such that u(n) = 0. -1, 1 Suppose 0 = z + 5*p - 7, -2*z + 5*p - 1 = -0. Factor -2 - 3*o**4 + 4*o**2 + 2 + 5*o**z + 6*o. -3*o*(o - 2)*(o + 1)**2 Let u(a) = 2*a**3 + 0*a**2 + a**2 - a**4 - 3*a**3. Let p(z) = -12*z**4 + 7*z**2. Let g(c) = -p(c) + 5*u(c). Factor g(o). o**2*(o - 1)*(7*o + 2) Let h(s) be the first derivative of -s**6/480 + s**5/60 - s**4/24 - 5*s**2/2 + 5. Let v(m) be the second derivative of h(m). Factor v(p). -p*(p - 2)**2/4 Let y = -14 - -20. Let a(d) be the second derivative of 3*d + 0 - 1/15*d**4 + 1/75*d**y - 1/25*d**5 + 1/5*d**2 + 1/105*d**7 + 1/15*d**3. Factor a(j). 2*(j - 1)**2*(j + 1)**3/5 Let d(x) = -3*x**4 + x**3 + 7*x**2 - 5*x - 5. Let y(u) = -2*u**4 + u**3 + 4*u**2 - 3*u - 3. Let i(m) = -3*d(m) + 5*y(m). Factor i(n). -n**2*(n - 1)**2 Suppose -2/9*c**4 + 0*c**2 + 0 + 0*c**3 + 0*c = 0. Calculate c. 0 Let v = -91 - -96. Let a(x) be the first derivative of -2/9*x**3 - 4 - 1/6*x**4 + 2/15*x**v + 1/3*x**2 + 0*x. Factor a(j). 2*j*(j - 1)**2*(j + 1)/3 Suppose 68*p**5 - 8 - 33*p**5 - 31*p**5 + 36*p - 24*p**4 + 56*p**3 - 64*p**2 = 0. What is p? 1, 2 Let i = 192 - 1529/8. Let x(p) be the first derivative of 2*p**3 - 2 + 3/4*p**2 - p + i*p**4. Factor x(a). (a + 1)**2*(7*a - 2)/2 Let 10/9*j**3 + 14/9*j - 4/9 - 2/9*j**4 - 2*j**2 = 0. What is j? 1, 2 Let h(d) be the third derivative of -d**5/60 + d**4/12 - d**3/6 - 4*d**2. Factor h(w). -(w - 1)**2 Suppose -5*c - 53 = 37. Let w be 6/(-24)*16/c. Let -w*i**2 + 0 + 4/9*i = 0. Calculate i. 0, 2 Let c(d) = 5*d**2 - d + 6. Let a(v) = -11*v**2 + 2*v - 13. Let y(z) = -6*a(z) - 13*c(z). Find n, given that y(n) = 0. -1, 0 Let j(n) be the third derivative of n**10/75600 - n**8/10080 + n**5/10 + 4*n**2. Let l(b) be the third derivative of j(b). What is g in l(g) = 0? -1, 0, 1 Let f(k) be the third derivative of -k**6/480 - k**5/120 - k**4/96 - 9*k**2. Find a, given that f(a) = 0. -1, 0 Let k(u) be the second derivative of -u**5/40 + u**4/12 - u**3/12 - 8*u. Determine d, given that k(d) = 0. 0, 1 Suppose -6*u = -3*w - 2*u + 21, -5*w + 30 = -5*u. Factor 0 + 0*y + 1/6*y**4 + 1/6*y**2 - 1/3*y**w. y**2*(y - 1)**2/6 Let y(f) be the first derivative of -1/420*f**7 + 0*f + f**3 + 1 + 0*f**4 + 0*f**2 + 1/60*f**5 + 0*f**6. Let b(i) be the third derivative of y(i). Factor b(t). -2*t*(t - 1)*(t + 1) Let l(c) = -4 - 2*c + 4 - 1 - 5. Let b be l(-4). Factor 4*j**3 - 2*j**2 - b*j**3 - 4*j**3. -2*j**2*(j + 1) Let h(m) be the first derivative of m**4/36 - m**3/9 + m**2/6 + 4*m + 4. Let y(k) be the first derivative of h(k). Factor y(r). (r - 1)**2/3 Let m(n) = -n**4 - n**3 + n**2 - 1. Let s(l) = -27*l**4 + 58*l**3 - 43*l**2 + 10*l - 2. Let h(k) = 2*m(k) - s(k). Solve h(v) = 0. 0, 2/5, 1 Find a, given that -1/3*a**2 + 2/3*a - 1/3 = 0. 1 What is v in 8 + 4*v + 1/2*v**2 = 0? -4 Let k(d) = 6*d**4 - 13*d**3 + 2*d**2 + 3*d. Let r(l) = l**4 + l**3 + l**2 - l. Let m(o) = -4*k(o) - 4*r(o). Factor m(q). -4*q*(q - 1)**2*(7*q + 2) Let f(l) be the third derivative of l**5/60 + l**4/3 - 3*l**3/2 + l**2 - 3. Let f(o) = 0. What is o? -9, 1 Suppose 10 = -4*f + 34. Let v(a) be the third derivative of 0 + 0*a**4 - 1/420*a**f + 0*a + 1/1176*a**8 + 0*a**3 - 1/210*a**5 + 1/735*a**7 - a**2. Factor v(x). 2*x**2*(x - 1)*(x + 1)**2/7 Let r = 0 - -2. Let h be ((-27)/(-6) + -2)*r. Factor 1 - c**3 + 2 - 3 - 5*c**4
{ "pile_set_name": "DM Mathematics" }
r when 40/15 + -4 + 22/s is divided by 5. 1 Let a = 557 + -537. What is the remainder when 119 is divided by a? 19 Let t be ((-1)/1)/(12/(-36)). Suppose 150 = 4*v - s - 31, s = t*v - 136. What is the remainder when 132 is divided by v? 42 Suppose -2*n + 170 = 2*o, 4*n + 3*o - 452 + 107 = 0. Let w = 115 - n. What is the remainder when 46 is divided by w? 21 Let k(y) be the third derivative of -y**4/12 + 7*y**3/6 + 13*y**2. What is the remainder when 27 is divided by k(0)? 6 Suppose 2*h - 15 = -7. Suppose -13*i - h*i = -1802. What is the remainder when i is divided by 36? 34 Suppose -5 = -x - 3. Suppose -3*c + 4*m = -x*c + 50, 3*c = 4*m - 142. What is the remainder when (-10)/4*(c + 0) is divided by 29? 28 Let c = 241 - 231. What is the remainder when 199 is divided by c? 9 Suppose 2250 = 390*z - 381*z. What is the remainder when z is divided by 18? 16 Suppose 56 = 2*f + 2*f. Suppose 106 = -2*v + 4*l, 0 = v - l + 3*l + 73. Let z = v + 117. Calculate the remainder when z is divided by f. 12 Let j = 5 - -16. Suppose 6 = -w + 30. Suppose -11*x + w = -7*x. Calculate the remainder when j is divided by x. 3 Suppose 2*p + 5*h - 19 = 0, -2*h + 5*h = 4*p - 25. Suppose -5*z + 2 = p. Let u(y) = -19*y**3 + 1. Calculate the remainder when 38 is divided by u(z). 18 Suppose 0 = -11*r - 9 - 101. Let w = r - -23. What is the remainder when 114 is divided by w? 10 Calculate the remainder when 202 is divided by 2 - (-59 + -3 + -2). 4 Suppose -4*a - 44 = -2*z, 5*a - 12 = -z + 3. What is the remainder when 177 is divided by z? 17 Suppose -6*b = -1582 + 34. What is the remainder when (2 - 4)/(((-12)/b)/2) is divided by 29? 28 Suppose -a + 13 = -i, 41 = -5*i + 2*a - 39. Let p = 36 - i. Calculate the remainder when p is divided by 15. 9 Suppose 3*r = -4*r + 14. Let g(h) = h + 7. Let o be g(-5). Suppose 10 = o*i - 2. What is the remainder when i is divided by r? 0 Suppose 1071 - 891 = 5*f. What is the remainder when f is divided by 19? 17 Suppose -8*t + 4*j = -5*t - 38, 0 = -2*t + 4*j + 32. What is the remainder when 57 is divided by t? 3 What is the remainder when 3 + -17*(-3)/3 is divided by 3*2/12*(30 + -8)? 9 Suppose 0 = 3*k - 2*k - 6. What is the remainder when k/(-6)*-1*(33 + -2) is divided by ((-16)/(-5))/(3/15)? 15 Suppose 4*j = -0*j - v + 318, 2*j = -5*v + 150. Suppose 3 = -2*f + 13, 0 = -2*o - 2*f + 52. What is the remainder when j is divided by o? 17 Let z(l) = l**2 + l + 4. Let h be z(-4). Let n = h - -14. Calculate the remainder when n is divided by 16. 14 Suppose -26 = -2*a - 2*h, -h + 62 = 4*a + h. What is the remainder when 30 is divided by (-42)/(-4) + (a/(-12) - -2)? 8 Let a = -66 - -138. Suppose -4*u = 4*y + y - 95, -a = -4*y - 4*u. What is the remainder when 136 is divided by y? 21 Suppose -4*g - 17 = j, 3*g + 34 = 3*j - 2*g. Suppose c + 138 = j*c. Let d = 273 + -255. What is the remainder when c is divided by d? 15 Let r(u) = -u - 3. Let z be r(-6). Let k be 0/((-40)/8 - -7). Suppose 2*v = d + 88, z*v + d = -k*d + 137. Calculate the remainder when v is divided by 23. 22 Let f = 83 - 131. Let q be (0 + -1)/(0 - 1). Calculate the remainder when ((-2)/3)/(q/f) is divided by 11. 10 Suppose -5*h + 0*h + 70 = 0. What is the remainder when (-11)/(-13) + -1 - 1527/(-39) is divided by h? 11 Suppose -5*h + 4*h + 97 = -4*a, 5*h - 449 = 2*a. What is the remainder when (-3)/(((-30)/(-4))/5) + h is divided by 44? 43 Suppose 0*g = -5*g + 20. Suppose c = g*c. Suppose 4*y - 8 = -2*l, c = 3*l - y + 5*y - 14. Calculate the remainder when 23 is divided by l. 5 Let h(o) = -o**2 - 9*o - 9. Let q be h(-8). Let c = q + 1. Let p(k) = -k + 4. Calculate the remainder when 6 is divided by p(c). 2 Suppose 5*a - k = 141, -a - k + 21 = -3*k. Calculate the remainder when 140 is divided by a. 24 Suppose -2*k = -4*t + 14, 13 = k + 2*t - 0*t. Suppose k*r - 12 = -3. Calculate the remainder when 20 is divided by r. 2 Suppose -2*k - 2 = -2*t, 4*t - 9*t = 4*k - 23. Suppose t*y = b + 202, 5*y = -4*b + 112 + 253. Let r = -9 + 27. What is the remainder when y is divided by r? 15 Suppose 928*l - 929*l + 22 = 0. Calculate the remainder when l is divided by 7. 1 Suppose 0 = 5*v + 3*z - 100, -4*v - 2*z + 80 = -3*z. Suppose 3*o - v = -5. Calculate the remainder when -4 + o - (3 + -25) is divided by 8. 7 Suppose 9*w = 20*w - 231. What is the remainder when (-2 + -3 + 13)*10 is divided by w? 17 Let u(q) = -4*q**2 - 2*q - 21. Let n be u(-10). Calculate the remainder when n/(-6) + 3/18 is divided by 17. 16 Let n = -12 - -16. Let v(k) = 2*k**2 - 5*k + 8. Calculate the remainder when v(n) is divided by 7. 6 Let z(c) = -6*c + 2. Let g be z(5). Let n(j) = 12*j**2 - 2*j + 1. Calculate the remainder when n(1) is divided by (-1)/4 - 119/g. 3 Calculate the remainder when 2 + (10 + -7 - (-54)/1) is divided by 16. 11 Let i be (-3)/5 - (-96)/10. Let r be 44/99*i/2. Suppose -r*j + 18 = 2. Calculate the remainder when 27 is divided by j. 3 Suppose p - 2*u - 1 = 0, -3*p + 27 = -0*p + 2*u. Suppose -5*o - 3*s = -84, -p*s = 4*o - 6*s - 70. Calculate the remainder when o is divided by 5. 3 Suppose 2*g - 25 + 1 = 0. Let t = g - -8. Calculate the remainder when t is divided by 6. 2 Let y = -229 - -391. Calculate the remainder when y is divided by 7/(-84)*-8 - 301/(-21). 12 Suppose 2*q - 9 + 1 = 0. Suppose 6*i + 7 = 5*l + 3*i, 0 = 2*l - q*i. What is the remainder when 4 is divided by l? 0 Let k(q) = -8*q**3 - q - 2. Let l be k(-2). Let v be 9/(-6)*l/(-3). Calculate the remainder when 38 is divided by (5/2)/(8/v). 8 Suppose -5*f - 3*o = -4 + 1, 3*f - 2*o + 2 = 0. Suppose -4 + f = -n, -i - n + 64 = 0. Calculate the remainder when i is divided by 21. 18 Suppose 5*h = -3*z + 299, 5*z + 4*h - 404 = z. What is the remainder when z is divided by 37? 29 Let o(t) = t**2 - 5*t - 15. Suppose 0 = -j - j - 2. Let d be j/(-3) - (-76)/(-12). Calculate the remainder when o(d) is divided by 13. 12 Suppose -21 + 0 = -7*i. Suppose -i*u - 2*h + 240 = 61, 2*h = 5*u - 325. What is the remainder when u is divided by 12? 3 Suppose 7*t + 324 = 13*t. Suppose t*n - 52*n = 126. What is the remainder when n is divided by 16? 15 Let y = 454 - 435. Calculate the remainder when 340 is divided by y. 17 Let j = -9451 + 9459. Calculate the remainder when j is divided by (3/(-5))/(2/(-10)). 2 Let z = 1289 - 1085. What is the remainder when z is divided by 69? 66 Let t = -47 + 103. Suppose -133 = -4*r - 5*z, -2*r - r = -5*z - t. What is the remainder when r is divided by 5? 2 Suppose 3*s = 9*s - 186. Let c(h) = 2*h**2. What is the remainder when s is divided by c(2)? 7 Suppose 10 = 2*k + 30. Let s = 18 + k. Let f(j) = -10*j - 147. What is the remainder when s is divided by f(-15)? 2 Let t(k) = k**2 + 3*k + 2. Let f be t(-1). Let v = -9 - -11. Suppose -5*d = i - 12 - 6, -i - v*d + 12 = f. What is the remainder when 21 is divided by i? 5 Let x be (-1)/(-2)*(-5 - -25). Suppose -4*l + 4*k + 20 = 0, -3*k = 2 + x. What is the remainder when (-2)/(-4)*(-1 + 3) is divided by l? 0 Suppose -2*p - 1 = -5, 5*p + 20 = -2*y. What is the remainder when 73 is divided by (-1)/((8/y)/8)? 13 Let n(a) = a**3 - 4*a**2 + 13*a - 46. What is the remainder when n(11) is divided by 50? 44 Let u(l) = 16*l + 8. Suppose 0 = -5*f - 0 + 105. Calculate the remainder when f is divided by u(0). 5 Let y = -62 + 98. Let n(b) = -b + 8. What is the remainder when -1 + 764/y - 12/54 is divided by n(0)? 4 Suppose 88 = 5*i - 12. Suppose -4*n + i = 3*j, -4*n - 16 = -3*j - 6*n. Calculate the remainder when 6 is divided by j. 2 Let t be 1/2 + 158/(-4). Let x = t - -55. What is the remainder when 46 is divided by x? 14 Let j = 111 - 162. Let l = j - -87. What is the remainder when 214 is divided by l? 34 Let o be ((-4)/8*-1)/(2/24). Suppose -o*c - 8 = -44. Calculate the remainder when 27 is divided by c. 3 Let h(s) be the first derivative of -17*s**2/2 - 2*s + 12. What is the remainder when 57 is divided by h(-1)? 12 Let r(s) = -277*s**2 + s + 1. Let b be r(2). Calculate the remainder when b/(-13)*(-4)/(-10) is divided by 9. 7 Suppose -2*l + 81 = l + 3*j, 5*l - j = 123. Let r = 694 - 622. Calculate the remainder when r is divided by l. 22 Let d = -254 - -113. Calculate the remainder when (0 + -2)*d/6 is divided by 16. 15 Suppose -2*k - 4 = 0, -2*o + 3*o = -2*k + 28. Suppose c - 5*n = -3*n + 18,
{ "pile_set_name": "DM Mathematics" }
+ 136*y**3 + y**2 + 80 wrt y? 408*y**2 Let y(k) = -75*k - 61. Let b(a) = 37*a + 30. Suppose p - 27 = -2*n, n + 4*p = 23 - 6. Let f(z) = n*b(z) + 6*y(z). Differentiate f(s) with respect to s. 31 Find the third derivative of 22*o**5 - 18*o**2 - 19*o**2 - 44*o**5 - 157*o**5 - 219*o**5 wrt o. -23880*o**2 Let x(i) be the first derivative of -3 + 0*i - 5/2*i**2 - 2/5*i**5 - 1/2*i**4 + 5/3*i**3. Find the third derivative of x(y) wrt y. -48*y - 12 Let j(r) = -r**3 + r**2 - 2*r - 1. Let x(a) = -241*a**3 + 2*a**2 - 4*a - 508. Let b(p) = 2*j(p) - x(p). Differentiate b(m) wrt m. 717*m**2 Let t(r) be the first derivative of -r**4/4 - 2*r**3 - r**2/2 - 3*r + 2. Let v be t(-6). What is the derivative of 6*h**v + 5 - 2*h**3 - 3*h**3 + 0*h**3 wrt h? 3*h**2 Let s(w) be the second derivative of 13*w**7/105 - 19*w**3/3 + 4*w**2 + 31*w. Let o(m) be the first derivative of s(m). Differentiate o(q) wrt q. 104*q**3 Let u(q) be the third derivative of 0*q + 0 + 0*q**4 + 8*q**2 + 1/20*q**6 + 0*q**3 - 3/20*q**5. What is the third derivative of u(x) wrt x? 36 Let a = 17 + -15. What is the second derivative of 2*c + 4*c**a + 12*c**2 - 4*c**2 + 8*c wrt c? 24 Let q = -2 - -6. Suppose -2*i = -m - q, 0*m + 5 = -5*m + 5*i. Find the second derivative of 2*n - 2*n + 3*n - n**m wrt n. -2 Let a(m) be the first derivative of 31*m**6 - 441*m**2/2 + 249. Find the second derivative of a(b) wrt b. 3720*b**3 Find the second derivative of -20*f + 32*f + 705*f**2 + 86*f wrt f. 1410 Let y(z) be the third derivative of 0 + 18*z**2 + 0*z**3 + 0*z**5 + 0*z + 5/6*z**4 - 1/5*z**6. What is the second derivative of y(c) wrt c? -144*c Let k(w) = 4*w**2 - w. Let a be k(1). Suppose -3*v = -t - a, 6 - 17 = -4*v - t. What is the first derivative of -h**v + h**2 - h**2 + 1 wrt h? -2*h Suppose 71 = 5*h - w - 32, 34 = 2*h + 2*w. Let s be h/(-8)*(-5 - -1). What is the derivative of -s + 5 + 5*y - 4 wrt y? 5 Let n(y) = -y**2 + 11*y + 4. Let c(u) = -u**2 - 13*u + 5. Let p be c(-13). Let m be n(p). Find the first derivative of 2*f**3 + m - 17 - 26 wrt f. 6*f**2 Let y be 5 - ((-4)/(-2) - 2). Let k(i) = i + 5. Let v be k(0). Find the third derivative of -2*x**2 + y*x**2 - v*x**4 - 2*x**2 wrt x. -120*x Let h(a) be the first derivative of 0*a**4 + 0*a - 7/3*a**3 + 0*a**2 + 8 + 5/6*a**6 + 0*a**5. Find the third derivative of h(s) wrt s. 300*s**2 Let j(k) be the first derivative of -3*k**6/5 - 17*k**4/12 + k - 14. Let x(u) be the first derivative of j(u). Find the third derivative of x(a) wrt a. -432*a Let c(l) be the first derivative of -9*l**5/20 + 33*l**2/2 + 14*l - 6. Let z(s) be the first derivative of c(s). What is the derivative of z(v) wrt v? -27*v**2 Let s(k) be the first derivative of -34*k**2 + 27*k + 59*k**2 - 23 - 42*k**2 - 8. Differentiate s(n) with respect to n. -34 Find the third derivative of -152*m**4 - 515*m**4 - 211*m**4 - 193*m**4 + 359*m**2 + 214*m**4 wrt m. -20568*m Find the third derivative of 3*s**4 - 14*s**2 + 5*s**2 + 174*s**5 - 218*s**5 - 76*s**2 wrt s. -2640*s**2 + 72*s Let v be (-1 - 5)/(24/(-208)). Let d = -29 + v. What is the second derivative of 5*j - 7*j + 0*j + d*j**4 - 10*j**4 wrt j? 156*j**2 Suppose -4*v + 12 = z - 2*z, -2*v = z - 6. Let i be v/(6/4) - 0. Find the first derivative of -c**2 - 11*c**i + 2*c**2 - 11 wrt c. -20*c Let b(o) = o**2 + o + 2. Let v be b(2). Let g be (-20)/(-6) + v/(-24). What is the third derivative of -40*w**3 + 40*w**g + 3*w**6 + 2*w**2 wrt w? 360*w**3 Let l(u) be the third derivative of -11/24*u**4 - 17/6*u**3 + 0*u + 14*u**2 + 0. Differentiate l(j) wrt j. -11 What is the third derivative of 225*d**2 + 208 + 289*d**3 + 77*d**3 + 91 - 224*d**2 wrt d? 2196 Find the third derivative of -26*n**2 - 104*n**5 + 22*n**5 - 3*n**4 - 108*n**5 + 3*n**4 wrt n. -11400*n**2 Let t = 13 - 19. Let a(i) = 2 - 4 - 4 + 2*i**3 + 5*i. Let m(w) = 3*w**3 + 6*w - 6. Let v(u) = t*a(u) + 5*m(u). Differentiate v(s) with respect to s. 9*s**2 Let a(m) be the first derivative of -m**4/6 - 11*m**3/6 + 7*m - 11. Let p(o) be the first derivative of a(o). What is the second derivative of p(v) wrt v? -4 Let c = 5 - 3. Let l = -137 + 145. Find the first derivative of l*j**3 - 4 + c*j**3 + 1 wrt j. 30*j**2 Let h(d) = -d**4 - d**3 + d. Let o(q) = 22*q**4 - 7*q**3 + 6*q - 143. Let j(n) = 6*h(n) - o(n). What is the first derivative of j(k) wrt k? -112*k**3 + 3*k**2 Find the third derivative of 30*r**5 + 80*r**2 - 2*r - 209*r**2 + 2*r wrt r. 1800*r**2 Suppose -k - 24 = -h, -2*k = 2*h + 3*k - 41. What is the third derivative of 11*w**6 - 27*w**6 + 10*w**6 - h*w**2 wrt w? -720*w**3 Let o(w) be the third derivative of 67*w**8/168 + w**4/2 - 18*w**2 + 2*w. What is the second derivative of o(k) wrt k? 2680*k**3 Let a(x) be the second derivative of 0 + 0*x**2 + 5*x**3 - 13/12*x**4 + 10*x. Find the second derivative of a(u) wrt u. -26 Let g(v) be the second derivative of -8*v**6/3 - 81*v**2/2 + 13*v. What is the first derivative of g(b) wrt b? -320*b**3 Let y = -26 + 29. Suppose -4*c + 15 = y. What is the third derivative of 4*d**c + 4 - 15*d**3 - 8*d**2 - 4 wrt d? -66 Let u(y) = -46*y**2 + 324*y - 6. Let a(n) = 94*n**2 - 646*n + 11. Let v(x) = 6*a(x) + 11*u(x). Find the second derivative of v(h) wrt h. 116 Let d(a) be the first derivative of -17/3*a**3 + 0*a**2 - a**7 + 0*a - 9 + 0*a**6 + 0*a**5 + 0*a**4. What is the third derivative of d(r) wrt r? -840*r**3 Find the second derivative of -13*p - p**4 - 71*p + 10*p**4 - 30*p**4 wrt p. -252*p**2 Find the third derivative of 9*o**5 + 40*o**2 - 56*o**5 - 19*o**5 wrt o. -3960*o**2 Suppose 5 = 4*f - 3. Find the second derivative of 9*h**4 - 2*h**2 + 2*h**f - 6*h wrt h. 108*h**2 Let d(w) = 2*w**3 - w**2 - 2*w + 1. Let g(r) = -15*r**3 + 66*r**2 - 205*r - 6. Let m(h) = 6*d(h) + g(h). What is the second derivative of m(x) wrt x? -18*x + 120 Let s(k) = 114*k**3 + 52*k - 9. Let c(a) = 57*a**3 + 26*a - 4. Let j(v) = 9*c(v) - 4*s(v). Find the second derivative of j(i) wrt i. 342*i Find the second derivative of w**3 - 3*w**3 - 2700*w**5 + 11*w + 2761*w**5 wrt w. 1220*w**3 - 12*w Let y be 5/(-2)*19/((-380)/168). Find the third derivative of -21*q - 11*q**2 + 17*q**2 + 27*q**3 + y*q wrt q. 162 Let b(w) = -16*w**2 - 4*w - 16. Let y(f) = -15*f**2 - 3*f - 16. Let a = -15 - -19. Let u(q) = a*y(q) - 3*b(q). What is the first derivative of u(i) wrt i? -24*i Let d(l) be the first derivative of -l**4/2 + 10*l**3/3 - 247*l - 163. What is the first derivative of d(w) wrt w? -6*w**2 + 20*w Let d = 26 + 118. What is the second derivative of d*a + 7*a**5 - 20*a**5 - 138*a wrt a? -260*a**3 Let b(j) = -j**2 + 10*j - 6. Let p be b(9). Let l = -1 + p. Differentiate -9*s**l + 2*s**4 - 3 - 3 + 9*s**2 wrt s. 8*s**3 Differentiate -479*f**4 + 8 + 3*f**2 + 83 + 497*f**4 wrt f. 72*f**3 + 6*f Let o = 7 - -3. Find the second derivative of -3*u**2 - o*u + 3*u + u**2 + 0*u**2 wrt u. -4 Suppose -8 + 2 = -3*n. Find the first derivative of 0 - 19*c**2 - 17 + 27*c**n wrt c. 16*c Let c be -5 + 1 + 6 + -3. Let v(w) = 9*w**4 + w**3 - w + 7. Let i(u) = u**3 - u. Let r(h) = c*i(h) + v(h). Find the first derivative of r(s) wrt s. 36*s**3 Let t(c) be the second derivative of -4*c**6/15 + 9*c**5/10 - 293*c**2/2 - 240*c. Find the first derivative of t(z) wrt z. -32*z**3 + 54*z**2 Let z(h) be the first derivative of 7*h**4/4 - h**2/2 + 40*h - 111. Differentiate z(y) wrt y. 21*y**2 - 1 Let u(t) be the first derivative of t**6/40 + 2*t**3 + 7*t**2/2 - 9. Let p(v) be the second derivative of u(v). Differentiate p(a) wrt a. 9*a**2 Suppose 0 = 5*h - 0*h - 25. Suppose -3*z + a + 12 = -15, 0 = 2*z - h*a - 5. What is the first derivative of -5 - 4*g**3 - z*g**2 + 10*g**2 wrt g? -12*g**2 Let t(r) = -37*r**2 - 3*r - 6*r - 24*r + r. Let d(m) = -19*m**2 - 16*m. Let a(o) = -5*d(o) + 2*t(o). Find the second derivative of a(c) wrt c. 42 What is the second derivative of -4 + 1335*w**5 + 27 - 2*w - 8*w**2 - 1332*w**5 - 2*w + w wrt w? 60*w**3 - 16 Let p(v) = -48*v**3 + 5*v**2 - 6*v - 37. Let h(n) = 49*n**3 - 6*n**2 + 7*n + 36. Let w(i) = -5*h(i) - 6*p(i). What is the second derivative of w(r) wrt r? 258*r Let r(d) = -324*d**2 - 4*d - 347. Let g(z) = 973*z**2 + 11*z + 1038. Let y(x) = -4*g(x) - 11*r(x). What is the first derivative of y(k) wrt k? -656*k Let m(c) = -c**3 - 12*c**2 - 9*c + 16. Let s be m(-11). Let x(p) =
{ "pile_set_name": "DM Mathematics" }
(r). Determine z(4). -4 Let y = 23 - 20. Let z(l) = 1 - y + 2*l + 2 + 2. Give z(-5). -8 Let g(j) = -2*j - 32. Let v be g(-11). Let z = 11 + v. Let c(m) = -8*m + 1. Determine c(z). -7 Let t(v) = v + 4. Suppose 2*h = 5*g + 33, 2*g - 3 = -2*h + g. Suppose -5*p + a + 0 + 3 = 0, h*p = 3*a + 9. Determine t(p). 4 Let k(g) = -4 + 0 - 3*g + 0*g + 4*g. Let u = 242 + -246. What is k(u)? -8 Let f(q) = 5*q**3 - 14*q**2 + 23. Let s(z) = 2*z**3 - 6*z**2 + 11. Let d(a) = -3*f(a) + 7*s(a). What is d(0)? 8 Suppose -4*y = 2*x + 2 - 4, 0 = 2*y + 2*x + 2. Let c(j) = -2*j**2 - 8*j + 7*j**2 - 4*j**y + 6. Calculate c(5). -9 Let a(x) = x. Let y = 3 + -7. Let m(h) be the first derivative of -5*h**2/2 + 4*h + 48. Let i(t) = y*a(t) - m(t). What is i(6)? 2 Let r(l) = 7*l**3 + 7*l**2 + 2*l + 1. Let w(i) = -20*i**3 - 20*i**2 - 5*i - 3. Let j(q) = -17*r(q) - 6*w(q). Calculate j(3). 25 Let k(s) = -43*s - 59*s - 40*s + 132*s - 3. Determine k(-5). 47 Let s(c) = -c**2 - 10*c + 3. Suppose -4*t - 51 = 3*p, -3*p + 6 = -5*t - 51. Calculate s(t). -21 Let q(o) = -5*o**2 + 1 + 4*o**2 - 3*o - o**2. Suppose 3*h = 4*i + 68, 3*h - 27 = -5*i - 85. Let s = -17 - i. Determine q(s). -8 Let y(n) be the second derivative of n**5/20 - 5*n**4/4 + n**3/6 - 15*n**2/2 + 340*n + 1. Determine y(15). 0 Let c(w) = 37 + w - 61 + 21. What is c(4)? 1 Let x(b) = -19 - 12*b + 10 + 7 + 8*b. Calculate x(-1). 2 Let n(x) be the third derivative of -x**5/60 + x**4/4 - 5*x**3/6 - 14*x**2. Suppose 4 = 3*h - 20. Let m = h - 4. Give n(m). 3 Let d(m) = 40*m - m**2 + 2 - 33*m + 2 + 5. Let l be d(7). Let r(n) = n - 13. What is r(l)? -4 Suppose 2*c + 44 - 8 = 0. Let o be (6/9)/(4/c). Let u(v) = 2*v - 2. Determine u(o). -8 Let a be (-4 + (-66)/(-12))/(3/6). Let g(q) = q**3 - 2*q**2 - 2*q - 4. Determine g(a). -1 Let r(w) = -5*w - 10. Let j be (17 + -18)*(-1 + (-10)/(-1)). Determine r(j). 35 Let v(m) = m + 35. Let r = -1468 + 1456. Give v(r). 23 Let z(a) = -7*a**2 + 5*a + 1. Suppose -4*r - 10 = 2*u, -u + 2*r + 3 = 4. Let o(h) = 4*h**2 - 2*h. Let t(n) = u*z(n) - 5*o(n). Calculate t(5). -3 Let m(u) = 4*u**3 - 41*u**2 - 63*u + 35. Let b(v) = v**3 - 10*v**2 - 15*v + 9. Let p(i) = -9*b(i) + 2*m(i). Give p(9). -11 Let j(k) be the first derivative of k**3/3 - k**2 + 6*k - 12. Let n(w) be the first derivative of j(w). Give n(3). 4 Let s(h) = h**2 - 3*h + 1. Suppose 5*y + 40 = -5*c, 6*c = 11*c - 5*y + 10. Give s(c). 41 Let y(d) = d**3 - d**2 + d - 2. Let x be y(2). Let u(s) = -14*s**2 + 25*s**2 - 12*s**2 - x*s + 0*s. Calculate u(-4). 0 Let h(v) = -v**2 - 7*v - 1. Let g be 2/12 - 22*95/(-60). Let d = g - 40. Give h(d). 9 Let f(r) = -r + 2. Let d(s) = 6*s**2 - s + 1. Let h be d(-1). Calculate f(h). -6 Let i(r) = -3*r + 10*r**3 - 24*r**2 - 9*r**3 + 20*r**2 - 7 - 3*r. Give i(5). -12 Let j(m) = -8*m. Let t be 9 + 14/(-2) + 3. Suppose -t*z = -4*z - 2. Calculate j(z). -16 Let x(j) = j**2 - 4. Let a(i) = -1. Let l(r) = -5*a(r) + x(r). Let z(s) = 2*s + 27. Let y be z(-11). Suppose 39 = y*q + 34. Calculate l(q). 2 Let j(u) be the third derivative of u**5/120 - u**4/8 - u**3/6 + 9*u**2. Let i(t) be the first derivative of j(t). Calculate i(6). 3 Let j(q) = -2 + 8*q**3 - 5*q + 4*q**3 - 6*q**2 + 6*q**3 - 19*q**3 + 1. Suppose 1 = -2*m - 7. What is j(m)? -13 Let k(w) = 11*w**2 + 52*w - 8*w**2 - 55*w + 2. Suppose -10 = -3*i - 2*i. Determine k(i). 8 Let d(k) = 8*k + 12*k**2 - 55*k**2 + 12*k**2 + 12*k**2 + 17 + 20*k**2. What is d(-6)? 5 Let y(n) = -n - 1. Suppose 3*d = -4*v + 13, d + d = 4*v + 2. Let g(i) = -7*i - 9. Let u(z) = v*g(z) - 4*y(z). What is u(-5)? 10 Let a(i) be the second derivative of 5*i**3/6 + 22*i. Let f be 12/8*8/3. Calculate a(f). 20 Let q(g) = -7*g**3 + 18*g**2 + 7*g - 8. Let o(r) = -11*r**3 + 27*r**2 + 11*r - 12. Let u(b) = 5*o(b) - 8*q(b). Give u(9). -5 Let p(a) = -4*a - 2*a - 12 + 17*a**2 - 10*a**2 + 26 + a**3. What is p(-8)? -2 Let y(h) be the second derivative of 1/2*h**3 + h**2 - 9*h + 0. Calculate y(4). 14 Let a(j) = -2*j - 10. Let x be a(-3). Let t(d) = d**3 + 5*d**2 + 4*d + 1. Determine t(x). 1 Let v(k) = -4*k**2 - 33*k - 2 - 28*k + k**3 + 7 + 56*k. Calculate v(5). 5 Let u(w) = w + 9. Let f = -86 + 43. Let p = -43 - f. What is u(p)? 9 Let t(k) = k + 6. Let j = -83 - -80. What is t(j)? 3 Let b(q) be the third derivative of -q**5/20 - q**4/8 + q**3/3 + 35*q**2. Suppose z + 2*z = -6. Let s be b(z). Let c(n) = -2*n - 3. Determine c(s). 5 Suppose -4*x + 5*i = 1670, i = 2*x + x + 1247. Let u be x/(-45) + 2/(-9). Suppose 5*j + u + 11 = 0. Let f(q) = -2*q**2 - 5*q + 2. Give f(j). -10 Let w be ((-12)/7)/((-7)/49). Let o = 14 - w. Let l(b) = b**3 + o + 2*b + 1 + b - 2*b**3. Calculate l(-2). 5 Let p(v) be the third derivative of -1/12*v**4 + 0*v + v**2 + 0 - 1/2*v**3 + 1/40*v**5. Let z(f) be the first derivative of p(f). Determine z(-2). -8 Let z(c) = -c - 2. Let h be z(4). Let j(k) be the third derivative of k**4/24 + 4*k**3/3 - 1045*k**2. Determine j(h). 2 Let p(a) = a**3 + 8 - 6*a**2 - 8*a + 0*a**3 + 0*a**3 + 0*a. Let h be 0/((-3)/(0 + 3)). Suppose h = -0*w + 4*w - 28. Determine p(w). 1 Let k(h) = -65 + 13*h - 55 + 99 - h**2. Give k(10). 9 Let a(k) be the third derivative of -5*k**4/24 + 2*k**3/3 - 35*k**2. Determine a(3). -11 Let a(g) = -14*g + 5 - 11*g - 16*g - 11*g + 51*g. Suppose 2*c + 4 + 4 = 0. What is a(c)? 9 Let w(o) = 5*o + 0*o**2 - o**2 + 8 + 2*o**2 + 3*o. Let f be w(-6). Let j(x) = 2 - 4*x - 6*x + 16*x + x**2. Determine j(f). -6 Let t(l) = -8*l**2 - 4*l - 46. Let y(h) = -9*h**2 - 3*h - 47. Let s(x) = 8*t(x) - 7*y(x). Determine s(-6). -9 Let v(j) = j**2 + 51*j + 228. Let t be v(-46). Let w(k) = 4*k + 1. Determine w(t). -7 Let h(f) = -f**2 - 1. Let k = -3 + 4. Suppose 6 = -2*o - 3*t + k, -5*o + 3*t + 19 = 0. Suppose o*r - 2 + 6 = 0. Determine h(r). -5 Let z(b) be the first derivative of b**3/3 - b**2/2 - b - 46. Suppose -o - 12 = 3*o, 3*a + 24 = -5*o. What is z(a)? 11 Let r = -68 + 70. Let z(d) = -8 + d + 7*d**2 - 4*d**2 - d**3 + 0*d**2 - 2*d**r. Give z(0). -8 Let s be (-18)/(-45) - (-7)/(-5) - -230. Let k(j) = s + 223 + 5*j - j**2 - 445. Determine k(6). 1 Let y be ((-39)/6 - -2)*(-2)/3. Let v(z) = -2*z**2 - 4. What is v(y)? -22 Let h(i) = 7*i**3 - 2*i**2 + 5*i - 4. Let m be h(1). Let g = 22 - 13. Let r(x) = 10 - m*x - g*x**2 + 8*x**2 + 0*x**2. Calculate r(-7). 3 Let f(y) be the third derivative of y**4/24 + 5*y**3/6 + 94*y**2 - 1. What is f(6)? 11 Let r be (3/(-4))/(15/(-40)). Let y(p) = 3*p**3 + 2*p**2 - 4*p + 3. Give y(r). 27 Let q(m) = -7318*m + 3660*m + 3659*m - 15. Give q(20). 5 Suppose t - 9*t - 40 = 0. Let i(p) = 2*p**3 - 2*p**2 + 4*p - 4. Let f(o) = -3*o**3 + 3*o**2 - 7*o + 7. Let d(j) = t*i(j) - 3*f(j). What is d(2)? -3 Let f(h) = -h**2 - 4*h + 1. Let w be f(-5). Let p(j) = j**3 + j**2 - j + 1. Let g(u) = -7*u**3 - 12*u**2 - u - 10. Let b(n) = g(n) + 6*p(n). Calculate b(w). -8 Let j(w) = -w**3 + 3*w**2 + 3. Let x(c) = -c**2 - 1. Let v(k) = -4*j(k) - 12*x(k). What is v(1)? 4 Suppose -4*s - 9 = 19. Let l(t) = t**3 - 2*t**2 + t + 1. Let b(h) = 7*h**3 - 5*h**2 + 6*h - 1. Let d(a) = -b(a) + 6*l(a). Give d(s). 7 Let d(n) = -n**2 - 6*n - 6. Suppose 53 + 37 = -18*q. What is d(q)? -1 Let v(o) = 2*o**3 + 2*o**2 + o - 5. Let c(x) = x**3 + x**2 + x - 3. Let q(l) = -3*c(l) + 2*v(l). Let d = 3 - 4. Let j be q(d). Let u(h) = -h. Calculate u(j). 0 Let q(h) = -3*h - 5. Suppose -2*z - l = 75, -2*z = -0*z - 3*l + 95. Let k = -45 - z. Give q(k). 10 Let b(a) = -2198 - 8*a - 4*a**2 + 5*a**2 - 2206 + 4416. What is b(6)? 0 Let m(o) = -o**3 - 5*o**2 - 3*o - 5. Let h(k) = 58*k + 13. Let f be h(4). Suppose -5*s + f - 55 = 0. Let u = s - 42. What is m(u)? -9 Let c(t) = -t**2 + 4*t - 5. Let s(n) = -2*n + 1. Let v(r) = -c(r) + 2*s(r). Calculate v(7). 0 Let m be (-1)/((-2)/(-3) - 1). Let o(u) = 32*u - 3 + 32*u - 58*u. Let g(y) = y - 1. Let c(f) = 4*g(f) - o(f). Calculate c(m). -7 Let y(i) = -i**3 - i**2 - i. Let s(z) = 4*z**3 + 2*z - 1. Let c(v) = -s(v) - 2*y(v). Let g = -1798 + 1800. Determine c(g). -7 Let v(n) = -9*n - 1. Let a(c) = -5*c. Let b(k) = -7*a(k) + 4*v(k). Let i(o) = -3. Let l(m) = 2*b(m) - 3*i(m). Calculate l(2). -3 Let g(f) = -26 - 6 + 8 + 2*f - 3. Give g(15). 3 Let s(w) = 3*w**3 - 16*w**2 + 13*w - 15. Let z(p) = -p**3 + 5*p**2 - 4*p + 5. Let f(g) = 4*s(g) + 11*z(g). What is f(8)? -5 Let a(t) = t - 18. Let s(p) = -3*p + 50
{ "pile_set_name": "DM Mathematics" }
98841. 492494205 -0.071*-3464 245.944 -0.06*124676.22 -7480.5732 What is the product of 609 and 2.2494? 1369.8846 Multiply 5 and 184345100. 921725500 Multiply -169.817 and -2.6. 441.5242 What is the product of -32 and 43272.8? -1384729.6 Calculate 4493834*-0.058. -260642.372 Multiply -17323 and -1929. 33416067 What is 0.24016 times -40? -9.6064 Work out 43576.5 * 0. 0 Work out 66.37 * -2181. -144752.97 What is the product of 2470 and 676? 1669720 What is the product of 0.6 and -29536712? -17722027.2 Multiply 0.01 and 3754136. 37541.36 -3752 times 645.2 -2420790.4 Product of 0.663388 and -0.123. -0.081596724 970.642*-0.12 -116.47704 What is 243772902.1 times -5? -1218864510.5 0.3 times -105154097 -31546229.1 -87693548 * 4 -350774192 What is -341.026044 times -3? 1023.078132 Work out 1.7048212 * 0.1. 0.17048212 1 times 2361574 2361574 -1020.073 * -0.41 418.22993 Work out 15.486 * -22. -340.692 Multiply 959.251 and -32.5. -31175.6575 What is -0.1432841 times 0.2? -0.02865682 -0.19647 times 326 -64.04922 12973.9371 times -3 -38921.8113 What is the product of -66222 and 1776? -117610272 Work out 867 * 7617. 6603939 What is the product of 1.123 and -10334.7? -11605.8681 622.32774 * 5 3111.6387 Multiply 7157671 and 0.7. 5010369.7 -0.4*275276671 -110110668.4 -64916 times 2294 -148917304 Multiply -2123073 and -0.372. 789783.156 1531119*0.082 125551.758 What is the product of 1.8579 and 35458? 65877.4182 -0.219 times -401802 87994.638 33*-1005805 -33191565 What is 1.2653 times -0.2561? -0.32404333 Calculate -0.0728*259.5. -18.8916 49895989 times 4 199583956 Calculate -0.3*22922598. -6876779.4 -1 times 4355703.9 -4355703.9 What is the product of -1 and -23414984? 23414984 Calculate -19609*1234. -24197506 0.2*-52307973 -10461594.6 Multiply 0.15 and -62768140. -9415221 Calculate -0.3*2592564. -777769.2 14.324 times 12599 180468.076 0.4 times 0.3765448 0.15061792 Product of -12 and -0.7606374. 9.1276488 What is the product of 32 and -545519? -17456608 Calculate -15856778.8*2. -31713557.6 -1 * -161279 161279 1493236*-0.62 -925806.32 What is 21338142 times -9? -192043278 Work out 5.879 * -1406. -8265.874 What is the product of -814 and -16729? 13617406 88.59 * 40 3543.6 -489325 times -7 3425275 -0.015970987 times 2.1 -0.0335390727 Multiply -7385058 and 9. -66465522 What is the product of 4 and 222.7385? 890.954 Work out -0.228931 * -0.1. 0.0228931 33.74*5917 199639.58 -2103*8248.2 -17345964.6 7 * -18485189 -129396323 0.04 * 4153216 166128.64 Work out 0.8 * 4755059. 3804047.2 What is -5621586 times -0.05? 281079.3 2034 * -39950.9 -81260130.6 Product of 334.85 and -0.26. -87.061 What is 1.3417 times -0.0294? -0.03944598 -0.007 times 41164 -288.148 Product of 783498 and -15. -11752470 Work out -49 * 1295282. -63468818 -23529487 times 0 0 What is the product of -1.5 and -165.12? 247.68 27.1122481*0.3 8.13367443 Product of 12094813 and 0.1. 1209481.3 Calculate -32866320*-0.07. 2300642.4 -16*140730 -2251680 0.3 times 2825.6893 847.70679 -0.37228*5.4 -2.010312 0 times -265200 0 Multiply 334 and 28710. 9589140 What is 50969 times -578? -29460082 What is the product of -35231745 and -2? 70463490 Product of -5 and 0.051678. -0.25839 Multiply -147588 and 16. -2361408 Work out -798.08825 * 0.3. -239.426475 What is the product of 1047810 and 36? 37721160 Calculate 0.03*-582426. -17472.78 -1.59967 times 7 -11.19769 0*-847290.9 0 -81*3035.14 -245846.34 Work out -6.0517 * 0.1023. -0.61908891 Work out -33881.475 * -0.5. 16940.7375 Product of 0.24 and -93.10494. -22.3451856 Work out -22176 * -251.5. 5577264 -0.2627*3216 -844.8432 What is 46068985 times 0.8? 36855188 Multiply 99024 and 130. 12873120 -167.3 times 130081 -21762551.3 Calculate -27902*-153. 4269006 Calculate -7244*-3354. 24296376 Work out 3.92 * 259871. 1018694.32 5748 * 692 3977616 What is the product of 15357352 and 1.5? 23036028 Multiply -205 and -19.068. 3908.94 What is the product of -2 and 649.2318? -1298.4636 -0.3*38384790 -11515437 16*13.65113 218.41808 5 times -190080287 -950401435 What is the product of 0.2131929 and -45.9? -9.78555411 39 times 88.965 3469.635 Calculate -0.53424667*4. -2.13698668 0.0654 * -5138 -336.0252 What is -0.02854 times 73.5? -2.09769 -1836544 times -0.4 734617.6 Work out -0.06 * 2764.457. -165.86742 -1741573 * 1 -1741573 Multiply -584939 and -0.0374. 21876.7186 221.11894 * -0.5 -110.55947 846.8 times -267 -226095.6 Product of 4 and 152036. 608144 -0.5 * 7156717 -3578358.5 Multiply -923769 and 9. -8313921 -0.0645837 * -1.2 0.07750044 Calculate -29515.68*0.2. -5903.136 Product of 0.33 and 8538.549. 2817.72117 What is 963.6794 times 4? 3854.7176 Product of 24 and 306.228. 7349.472 Product of 305 and -58885. -17959925 What is 5 times -8588675? -42943375 1662115*0.106 176184.19 What is the product of -0.0498718 and -1.45? 0.07231411 Calculate 244.161115*-0.2. -48.832223 Calculate -9*275046. -2475414 Product of -0.2839 and -15988. 4538.9932 Calculate 32650264*-0.1. -3265026.4 Calculate 33171*2607. 86476797 -9273780 times 2 -18547560 Multiply 374.2 and 11.435. 4278.977 766.95627*-0.4 -306.782508 Calculate 0*39358.6. 0 What is -5085994 times -0.03? 152579.82 -0.05 times -70492774 3524638.7 Calculate 2726*-2697. -7352022 -0.5 * -0.2445216 0.1222608 Calculate -503149*-0.038. 19119.662 Work out 1 * 1106724. 1106724 What is -0.4 times 3158.706? -1263.4824 -3.1 times 503949 -1562241.9 Work out 0 * -26124532. 0 Multiply 0.3 and -746756. -224026.8 Work out 0.09 * 1130364. 101732.76 Product of 60 and 2.1001. 126.006 What is 209 times 26755? 5591795 What is the product of 538136541 and -4? -2152546164 Work out -987070864 * 2. -1974141728 What is the product of -1.2 and -324961? 389953.2 What is the product of -18.66 and 11.409? -212.89194 Calculate -3*992.5086. -2977.5258 Calculate -5653156*-10. 56531560 -0.5*38490.75 -19245.375 What is the product of -1.80532 and -358? 646.30456 What is the product of 0.1488407 and 0? 0 Calculate -1362066*35. -47672310 Multiply 247 and 2231864. 551270408 0.5 times 12.53707 6.268535 Multiply -3 and -1340592.7. 4021778.1 1223 times -579318 -708505914 Calculate -4*-6136.439. 24545.756 Work out -66.1 * -26031. 1720649.1 What is 388713.42 times 3? 1166140.26 -1 times 1496500 -1496500 304 * -132871 -40392784 Calculate 705*-296.85. -209279.25 Multiply -157 and -96431. 15139667 Calculate -541.6*4065. -2201604 Product of 42079371 and 14. 589111194 -316*-2.1529 680.3164 Multiply -891 and 0.5315. -473.5665 Multiply 35396346 and -4. -141585384 Work out 0.3 * 2530647. 759194.1 -94 times -0.38377 36.07438 What is the product of 4 and 14.13375? 56.535 What is the product of 0.5 and 27708.2207? 13854.11035 -1.365 times -224.71 306.72915 0.05 times 4447699.9 222384.995 Multiply -0.97798 and 24.12. -23.5888776 -859848.4 times 0.2 -171969.68 -0.2 times -66455098 13291019.6 Work out 0.5 * -1647.174. -823.587 What is the product of 1782718 and 16.1? 28701759.8 Multiply -18.8026 and 88. -1654.6288 0.067248 times 44.32 2.98043136 Calculate -0.07*150.40573. -10.5284011 What is 748118 times -39.1? -29251413.8 What is -5 times 577.8828? -2889.414 0.4*-2870339 -1148135.6 26618 times -571.47 -15211388.46 Calculate -1232.8009*-1. 1232.8009 Multiply 1270.4 and 17.46. 22181.184 Calculate 1981012*-0.86. -1703670.32 7*-84565 -591955 -4*32712.31 -130849.24 What is 80352 times -254.2? -20425478.4 -0.1 * -51574847 5157484.7 -293147.8 * 13 -3810921.4 What is -13 times 568717? -7393321 -2 times -18160578 36321156 What is the product of 1.8 and -469780? -845604 -25.86 times 1.72009 -44.4815274 Calculate 1771553*-3. -5314659 Multiply -1795888 and 0.1. -179588.8 What is 2107 times -2102? -4428914 -114*621.92 -70898.88 0.7073407*0.1 0.07073407 What is -0.1 times 926939.61? -92693.961 Product of -5.011 and -0.40505. 2.02970555 Calculate 12019737*-0.13. -1562565.81 What is -6 times 185301546? -1111809276 What is 5 times -74876745? -374383725 What is -5 times -4017684? 20088420 3*-21.200358 -63.601074 0.3653*130 47.489 Calculate 1.1*-137460. -151206 11 times 90611 996721 Work out 0.6823214 * -1. -0.6823214 Calculate -2049.9314*-5. 10249.657 1531 * -255235 -390764785 Multiply 6 and -1.07085943. -6.42515658 Calculate 1*342176.2. 342176.2 0.54149 times -30.97 -16.7699453 Multiply 6105709 and -6. -36634254
{ "pile_set_name": "DM Mathematics" }
e remainder when -51*(-2 - -1)*1 is divided by (-4)/y + 792/45. 15 Let p(i) be the first derivative of -i**2/2 + 23*i - 5. Calculate the remainder when p(12) is divided by 7. 4 Let r be (203 - 1) + -11 + 13. Suppose 0*v + r = 3*v. Calculate the remainder when v is divided by 12. 8 Suppose -5*v + 144 = 19. Suppose -j + v = 4*j. Calculate the remainder when 7 is divided by j. 2 Suppose 4*p + 4 = 0, 4*x + 0*x + 285 = -p. Let v = 90 + x. Calculate the remainder when v is divided by 11. 8 Let m(r) = -3*r + 281. Calculate the remainder when m(34) is divided by 36. 35 Suppose -2062 = -16*g - 510. Calculate the remainder when g is divided by 38. 21 Suppose 5*u = -5*m - 8 + 23, -3*u - 11 = -m. Suppose -2 = -z - m. Let g = z + 30. Calculate the remainder when 51 is divided by g. 24 Let h(j) = j**2 - 9*j - 17. Let p be h(11). Suppose -5*v + 20 = 0, 0 = -3*x - p*v - 0 + 41. Calculate the remainder when 26 is divided by x. 5 Let z be 31/(2/18*3). Let n = -88 + z. Calculate the remainder when 63 is divided by n. 3 Suppose 0 = -p - 3*f + 35, -155*f = -3*p - 154*f + 75. Calculate the remainder when 66 is divided by p. 14 Let q = 28 - 16. What is the remainder when 48 is divided by q? 0 Let g = 1 + 30. What is the remainder when (127 - 37)/(3 - 2) is divided by g? 28 Suppose 4*j + 26 + 22 = 0. Let n be 8/j*6 - -7. Suppose -n*r + 6 + 39 = 0. What is the remainder when 28 is divided by r? 13 Suppose 16 = -0*q + 4*q. Suppose -3*x = 2*r - 13, -5*r + q*x + 45 = -2*r. Calculate the remainder when 21 is divided by r. 10 Let o(i) = -i**3 - 28*i**2 + 25*i - 35. Calculate the remainder when o(-29) is divided by 14. 11 Let b be (0 + -1)*(-75)/15. Suppose b*x - 9 = 56. What is the remainder when 30 is divided by x? 4 Let j = -531 - -667. Calculate the remainder when j is divided by 62. 12 Suppose -231 = -27*w + 390. What is the remainder when 151 is divided by w? 13 Let s(p) = 2*p - 13. Let f(b) = 5*b - 40. Let u(h) = 3*f(h) - 8*s(h). Let z be u(-7). Let j(w) = -8*w - 18. What is the remainder when j(z) is divided by 28? 26 Let n be 47 + 5/5 + 2. Suppose -9 + n = 2*f + 5*h, -f = 4*h - 22. What is the remainder when 88 is divided by f? 16 Suppose 20 = 6*l - l. Suppose -l*i - 25 = -3*p - 0*i, -5*i + 55 = 2*p. What is the remainder when 26 is divided by p? 11 Suppose 7 + 7 = -2*b. Let v(c) be the first derivative of -3*c**2/2 + 6*c + 15. Calculate the remainder when 51 is divided by v(b). 24 Let q = 15 + -8. Suppose q*l + l - 80 = 0. What is the remainder when 38 is divided by l? 8 Let n = 928 - 774. Calculate the remainder when 3233 is divided by n. 153 Let j(f) = -1. Let t(p) = 37*p - 7. Let w(h) = 4*j(h) - t(h). What is the remainder when w(-2) is divided by 20? 17 Suppose 27 = -21*f + 24*f. Let t(u) = 10*u - 17. Calculate the remainder when t(f) is divided by 15. 13 Let p be (117/6)/(1/2). Let d(u) = -16*u + 96. Let l be d(6). Suppose l = -0*v - 3*v + p. Calculate the remainder when v is divided by 7. 6 Suppose -35*p = 12*p - 282. What is the remainder when 145 is divided by p? 1 Suppose -1151 = -33*u + 2149. What is the remainder when u is divided by 27? 19 Let r be 0/(-1) - 0 - -33. What is the remainder when 225/6*2/3 - 4 is divided by r/4 + (-5)/20? 5 Let o be (-129)/18 + 3 + 1/6. What is the remainder when 9 is divided by (6/o)/(7/(-28))? 3 Let y = -26 - -38. What is the remainder when 16 is divided by 2/4*(y + (-6)/(-1))? 7 Let s be ((-70)/15)/(4/(-6)). Calculate the remainder when 9 is divided by 2*35/s*2/10. 1 Let i(a) = 7*a + 176. What is the remainder when i(26) is divided by 72? 70 Suppose 2*i = -3*s - 3 + 5, -2*s - 4*i - 4 = 0. Calculate the remainder when (-8)/18 - (-5576)/153 is divided by s*((-46)/(-4) - 2). 17 Let i(h) = 57*h + 6. What is the remainder when i(7) is divided by 138? 129 Suppose 72 = -n + 4*n. Let w = -101 - -47. What is the remainder when n is divided by (-1)/2*w/3? 6 Let d(u) = 2*u**3 - 3*u**2 + 1. Let v be d(2). Suppose 3*x + 64 = 2*r, 2*r - 18 = -v*x + 14. What is the remainder when r is divided by 7? 5 Suppose 3*u + u + 249 = 3*j, -u + 3*j = 51. Let n = 67 + u. What is the remainder when n is divided by 1? 0 Let w be (6/15)/((-7)/35). Let a(o) = 4*o**2 - 3*o - 8. Calculate the remainder when ((-26)/4)/(2/(-12)) is divided by a(w). 11 Let y be 104 - (-2 - -4) - 5. Let x = y + -80. Calculate the remainder when 66 is divided by x. 15 Suppose 0 = r - 2*a - 7, 3*r + 3*a = 2*a + 14. Suppose -2*o - 4*i + 0 = -6, 3*o - 11 = -r*i. Calculate the remainder when 17 is divided by o. 3 Suppose -2*q = -y - 4*q + 14, -q - 8 = -2*y. Suppose 3*v - 28 = 2*n, -v - 5*n = -26 - y. What is the remainder when 55 is divided by v? 7 What is the remainder when 4894/10 + ((-312)/(-20) - 15) is divided by 12? 10 Suppose -53*j - 680 = -945. Let l = -4 - -8. Suppose 3*o + 4*y - 9 = l*o, 4*y - 16 = 0. Calculate the remainder when o is divided by j. 2 Suppose 39*d = -28 + 340. What is the remainder when 129 is divided by d? 1 Let k be (-18)/(-24)*32/1. Suppose 4*u - k = -4. Suppose 0*a - 60 = -u*a. What is the remainder when 46 is divided by a? 10 Suppose 2*l + 2*x - 14 = 0, 2*l - 7*l + 85 = -5*x. Suppose 18*v = 4*v + 280. What is the remainder when v is divided by l? 8 Suppose -16 + 88 = 3*z. Let v = z + 1. Calculate the remainder when v is divided by 4. 1 Suppose -411 = -0*i - 3*i. Calculate the remainder when i is divided by 23. 22 Let k be (-3 + 2)/((-1)/3). Suppose 113 = 4*g + 3*t, k*g - 38 = 2*g - 4*t. Suppose 26*l - 900 = 8*l. What is the remainder when l is divided by g? 24 Let z be 204/18 + (-3)/9. Let h(q) = 6*q - 3. What is the remainder when h(z) is divided by 22? 19 Let u(r) = 13*r + 339. Suppose -7*h + 3*h + 84 = 0. Calculate the remainder when u(-22) is divided by h. 11 Let k = 41 + -13. Suppose 0 = 39*h - 116*h + 6006. What is the remainder when h is divided by k? 22 Suppose 83*z - 2332 = 16592. What is the remainder when z is divided by 79? 70 Let y = 220 + -130. Calculate the remainder when y is divided by 24. 18 Let z(p) = 2*p + 77. Let g(b) = -b. Let q(c) = 4*g(c) + z(c). Suppose -a + 100 = 4*a. Calculate the remainder when q(0) is divided by a. 17 Suppose 5*b + 6 = -2*f - 4, 0 = -5*b + 2*f + 10. Calculate the remainder when -3*(b - 295/15) is divided by 10. 9 Suppose u + 4*u = 25. Let j be u/(30/4)*-6. What is the remainder when 2 is divided by 10/14 + j/(-14)? 0 Let t = -350 - -424. What is the remainder when 242 is divided by t? 20 Suppose 5*h - 2*d = 60, 3*d - 25 = -4*h - 0*d. Calculate the remainder when 25 is divided by h. 5 Let j(o) = 90*o - 755. Calculate the remainder when 352 is divided by j(9). 22 Suppose 3*h - 2*l + 8 = -3*l, -4*h - 6 = -l. Suppose -4*c = -4*w - 20, -4*w + 13 = 25*c - 26*c. Calculate the remainder when 59/2 - h/4 is divided by c. 8 Suppose 3*s + 2*s = 205. Let z = s + -6. Calculate the remainder when z + (-2 + 2)/(-3) is divided by 9. 8 Let x be (6/10)/((-2)/(-10)). Suppose -x = v + 2. Let k(f) = f**3 + 5*f**2 - f + 7. What is the remainder when 46 is divided by k(v)? 10 Let r = 352 - 327. Calculate the remainder when r is divided by 13. 12 Let y = 808 + -602. What is the remainder when y is divided by 80? 46 What is the remainder when (-8)/3*6*(-114)/48 is divided by 20*(0 - (-3)/6)? 8 Let j(y) = 3*y - 4. Let h = -29 - -23. What is the remainder when 13*2 - (-1)/(h/(-18)) is divided by j(5)? 7 Suppose -21*j + 897 = -468. What is the remainder when 519 is divided by j? 64 Let k be (-42)/(-18) + 1/(-3). Suppose 5*o = 5*m - 270, -3*m + 282 = k*m + o. What is the remainder when m is divided by 15? 11 Suppose 2*q = -3*x + 132, 2*x - 6*x - 5*q = -169. What is the remainder when 181 is divided by x? 43 Let h(r) = -r**3 - 47*r**2 - 4*r - 109. What is the remainder when h(-47) is divided by 4? 3 Let i(b) = -2*b**3 - 4*b**2 + 3*b + 15. What is the remainder when i(-5) is divided by 42? 24 Let v(o) = o**3 - 8*o**2 - 3*o + 75. Let t = -109 + 117. What is the remainder when 356 is divided by v(t)? 50 Suppose -2*c - 32 = -3*s + 3*c, -5*s - 5*c + 120 = 0. Suppose 0 = 4*n + 3*u - 25, -5*n - 2*u = u - 35. Calculate the remainder when s is divided by n. 9 Let l = 0 + -1. Let h = -15 + l. Let p = h - -24. What is the remainder when 31 is divided by p? 7 Let n be 11 - -3*2/6. Let a be (1/(-2))/(3/n). Calculate the remainder when 7 is
{ "pile_set_name": "DM Mathematics" }
4.86 Calculate -80384 + -236043498. -236123882 What is 111843838 less than -3004.01? -111846842.01 What is the distance between -0.28494531 and -293861? 293860.71505469 What is the difference between 37644 and -23750467? 23788111 What is the distance between 24.2 and -12751777202? 12751777226.2 620020 - -2111320 2731340 -53557739 + 5200 -53552539 Add together -6 and 19727221.8798. 19727215.8798 0.3626+-64689353 -64689352.6374 What is -278054592 take away 79? -278054671 What is -13347 plus 12516387? 12503040 Subtract -2.21084 from -0.778098. 1.432742 Work out 105383637 - -0.091123. 105383637.091123 What is 42.45559 take away -48950.7? 48993.15559 6282 - -2903511.11 2909793.11 Put together -215135937 and -73967. -215209904 Calculate -86851034.80388 + 3. -86851031.80388 Add together 306 and -0.0498083604. 305.9501916396 Work out -91982645604094 - -1. -91982645604093 -5589569291+-3.6 -5589569294.6 Work out 116914589990949 + -3. 116914589990946 Add together -1046.75551 and 0.17552. -1046.57999 What is -0.578833 - 14933.38? -14933.958833 What is 229685771267 minus -1? 229685771268 Calculate -5573 + -36067629. -36073202 What is the distance between 1072 and 233741632? 233740560 What is -567 take away -144220118954? 144220118387 What is -342 take away -28768429788? 28768429446 Subtract -0.10154924 from -28118. -28117.89845076 Subtract 55468.4634091 from -0.1. -55468.5634091 Total of -823.9919 and 2.035907. -821.955993 What is the difference between 11552.91952 and -518019? 529571.91952 Calculate 8.145074 + -10.7326. -2.587526 What is the difference between 3056.74148 and 2620119? 2617062.25852 What is 688434637611 minus -0.056? 688434637611.056 -20 + 6365333578458 6365333578438 What is -1631851.6 + 12045? -1619806.6 What is 0.5053633535 minus 356.8? -356.2946366465 -2848777 + 6140872 3292095 What is -0.3 minus 1739699398834? -1739699398834.3 Work out 3000712413.6409 - 5. 3000712408.6409 Sum -5167127651.507 and -0.1. -5167127651.607 Calculate 120069791 - 0.03411. 120069790.96589 Subtract 22021119399 from -81. -22021119480 What is 0.28 plus -36.431334505? -36.151334505 What is the difference between 29.21688 and 0.0391? 29.17778 What is the distance between -18409657.443 and -0.1153? 18409657.3277 Calculate -1436117 + -0.0485513. -1436117.0485513 -484.88998+0.613923 -484.276057 What is 2.989879262 + -0.02? 2.969879262 What is -3 minus 465.596191314? -468.596191314 What is -12147324 + 552? -12146772 What is -58302952 take away -8211? -58294741 What is -5 less than -20768099454.341? -20768099449.341 What is -0.592741 + -74.2710402? -74.8637812 Add together -2220.04 and -317989.3964. -320209.4364 Calculate -29625171 - 521.8. -29625692.8 Total of 1.9 and 259832810865. 259832810866.9 Sum -10 and -2928907068439. -2928907068449 What is -729766638488 take away -26.4? -729766638461.6 Sum 10 and -6385782966570. -6385782966560 What is the distance between 110 and -3825320300? 3825320410 What is 1.5 minus 2286046406136? -2286046406134.5 Add together 11000 and 129384.4. 140384.4 Work out -48006140178339 + -0.5. -48006140178339.5 Add together -905552 and -7076. -912628 Add 298911 and -1332335.3. -1033424.3 What is -0.0955169291 + 61876? 61875.9044830709 What is the difference between 60239402663 and 0.8053? 60239402662.1947 What is 1552165425448 take away -4? 1552165425452 93717 - 1002874 -909157 Total of 806 and -16935067524. -16935066718 Sum 762.39 and -31.49781. 730.89219 57174413 + 43.455 57174456.455 Calculate 1780448498006 - -4. 1780448498010 7941432 + -7286083 655349 What is 53.9303573747 less than -8? -61.9303573747 Work out -9418705 - -328712. -9089993 What is 168.14 plus 0.06849733? 168.20849733 Work out -45600 - 12248.7133. -57848.7133 -83.9 - -246016816 246016732.1 What is the difference between 496591716 and 5705.88? 496586010.12 What is the distance between -1540.28421921 and 1? 1541.28421921 Work out -1.12547 - -16824322.5. 16824321.37453 Sum -7.7988905 and 1117.7. 1109.9011095 What is -1.057777106 less than 118.99? 120.047777106 Subtract 433663.4458 from -6.8. -433670.2458 What is -55450 less than 3405924996? 3405980446 -10.934 - 43558111 -43558121.934 Subtract 0.2991497 from 13894. 13893.7008503 What is 4655260 minus -17063? 4672323 Work out 0.05372 - -278.4819551. 278.5356751 Put together -1655.148822 and 133. -1522.148822 Put together 45 and 0.1705652686. 45.1705652686 -49361916.2875642 - -3 -49361913.2875642 What is the distance between 62101206 and 162090? 61939116 Add together -0.36 and 11508.968009. 11508.608009 Add -35.9057 and -0.87566425. -36.78136425 -253155+-3629937880 -3630191035 Subtract 13.773 from -0.00092376213. -13.77392376213 What is -94688166466343 - -18? -94688166466325 What is -3 - -10752512.61722? 10752509.61722 Subtract 140145939 from -2569. -140148508 What is 1416.55 take away 53943? -52526.45 Add together -31963 and -1670.170436. -33633.170436 What is 1.8413646 minus -194647? 194648.8413646 Calculate -223 + 92170138910. 92170138687 Total of 27323181 and -6275041. 21048140 What is 0.148 minus 327554316976? -327554316975.852 Calculate 330 - 9947236862. -9947236532 Calculate 119917 + -835642446. -835522529 What is -28844413456415 - -3? -28844413456412 What is -177988998 + -8913? -177997911 What is -40043.159553 + 8? -40035.159553 Calculate 1035371.8 + -25176.4. 1010195.4 What is the distance between -56236 and 383.1106? 56619.1106 Work out 10268619.67 + 61.52. 10268681.19 What is 0.05 - 2418499.0972273? -2418499.0472273 What is -4447.5 less than -74813714? -74809266.5 Calculate -874133 - 1206298. -2080431 -419 - -76973.009812 76554.009812 Calculate -1326715.28418 - -97. -1326618.28418 What is 336.5 - 2152.2905? -1815.7905 What is 2973314 take away 4235483? -1262169 What is -11110.5663603072 take away 5? -11115.5663603072 What is -470636 less than -673516.989? -202880.989 What is -11386719735318 less than 0.04? 11386719735318.04 What is -138363 take away -2878728? 2740365 What is -436 plus -896416767? -896417203 Sum 187589419 and -1072. 187588347 Work out -7047304.86618 + 97. -7047207.86618 Put together 121553 and -63200.134. 58352.866 What is the distance between -6 and -0.2304681020363? 5.7695318979637 Add together -0.06 and -8902422.012888. -8902422.072888 Calculate 53.69 + 39913390103. 39913390156.69 16.8850318 - -89.3 106.1850318 Subtract 2 from -579956436258. -579956436260 What is -0.3 + -2056910705129? -2056910705129.3 What is the difference between -0.12 and -95684416217198? 95684416217197.88 What is 35749657.9 take away 261.1? 35749396.8 18061226 - -631814 18693040 What is -2650 less than 6361051.3? 6363701.3 Add -512261 and -47984604. -48496865 Add together 2 and 62411669491. 62411669493 Calculate -29.894524 + -487. -516.894524 Work out 4.206414979 - -31. 35.206414979 What is -1431 plus -205322304.94? -205323735.94 What is -0.9048 - 29.302974? -30.207774 Add 33 and 152340202764. 152340202797 -96656253056+745 -96656252311 What is 0.11578203234 + -226? -225.88421796766 What is 74540.39392 less than 2820.4? -71719.99392 Work out -0.067842 + -679.72674. -679.794582 Total of 77092 and 0.427158924. 77092.427158924 -0.4 - 8.52163086433 -8.92163086433 Sum -3.68 and -167345253.4476. -167345257.1276 Add together -631.7 and -1.206113. -632.906113 Work out 1675.304 - 57306588. -57304912.696 -988243965.3+-3017 -988246982.3 0+-68726040206753 -68726040206753 Work out -0.0214468512 + 12287. 12286.9785531488 What is -233131845 - 352938? -233484783 What is the distance between 641081884 and 4275? 641077609 4.30104+269.23329 273.53433 What is the distance between -1595.28 and -1390531866? 1390530270.72 1083020.28022+-2 1083018.28022 Calculate 1 - 400.6469546156. -399.6469546156 2 - 87.641979348 -85.641979348 Calculate 8 - 1255022510519. -1255022510511 What is the difference between -5672135958 and 210? 5672136168 Add 30815802083 and -0.089. 30815802082.911 Work out -95.9137199 + -0.1. -96.0137199 -18+4152412307 4152412289 What is 98 + -13507.7773? -13409.7773 What is -101 take away -0.2459311493? -100.7540688507 -4649 + 18.305819648 -4630.694180352 What is 2 minus 298962897762? -298962897760 What is 164.5 minus -252.012223? 416.512223 What is -284183.84848 less than 398.9? 284582.74848 What is 995150141 minus 57.863? 995150083.137 -2
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) -4/2195 (b) 8 (c) 0 (d) -5 (e) 3 (f) 3/5 (g) 2/15 c Which is the third smallest value? (a) 13 (b) 3/8 (c) -2 (d) 0.31 (e) 2.74 b What is the smallest value in -2/61, -10, 1/3, 34/705, 5, -5? -10 What is the third biggest value in 1/3, -20, 9/11, 2, -4, 136? 9/11 What is the second biggest value in 1/7, -10, 19, -1.1, 2/9, 1? 1 What is the fourth biggest value in 5, -4678, 26, -4, 1? -4 Which is the fourth biggest value? (a) -31 (b) 0.4 (c) -210/67 (d) 2/3 a What is the seventh biggest value in -1/13, -39, 0.1, 24, -0.3, 2/5, 0.2? -39 What is the fourth smallest value in -3/4, -8038, 1/3, 0, -1/3, 7? 0 What is the third smallest value in -316, 1/5, -0.354, 26? 1/5 Which is the second biggest value? (a) -10 (b) 7 (c) -1/2 (d) -2108 (e) 0 e What is the fifth biggest value in -3, 4, 55, -94, -3/5, -209.5? -94 What is the fourth smallest value in -3, 16, -0.194, 11.6? 16 What is the third biggest value in -2/7, -21, 5, -2, 2/5, -19, -4? -2/7 Which is the smallest value? (a) -6 (b) 1/7 (c) 1496 (d) 20 (e) -1 a What is the third smallest value in 0.06, -5/4, -11, 8/9, -1, -3? -5/4 Which is the fifth biggest value? (a) 6 (b) 4 (c) -0.7 (d) 0.1 (e) 92.03 c Which is the fourth biggest value? (a) 18.7 (b) -4 (c) 0.2 (d) -1 (e) -190 (f) 23 d Which is the fifth biggest value? (a) 0.1 (b) 103 (c) -4 (d) -0.3 (e) 1 (f) -0.03 (g) 6/5 f Which is the second smallest value? (a) 42605684 (b) -0.5 (c) -4 b Which is the third smallest value? (a) 3/2269 (b) -47/19 (c) 5 c Which is the second biggest value? (a) -9 (b) -4 (c) -1.84 (d) -4/9 (e) 2 d Which is the smallest value? (a) 2/9 (b) -259 (c) 444 b What is the second smallest value in 68, -10, -28, 2/75? -10 Which is the fifth smallest value? (a) -0.044 (b) -3/4 (c) -0.5 (d) 843 (e) 4 d What is the second biggest value in 70, -971/6, -0.1, -5, -3/7? -0.1 Which is the third smallest value? (a) 29 (b) 40296 (c) -0.88 b Which is the fourth smallest value? (a) -29 (b) -0.65 (c) -2/3 (d) -3 (e) -8/5 (f) -2 (g) -1/8 e What is the third biggest value in 0.5, 32, 15.295? 0.5 What is the third smallest value in -2/7, 50, -372585/8? 50 What is the smallest value in 3/7, 3.7, -1, 327, 2/15, -58? -58 What is the second smallest value in 4, -3/8, 1/1201? 1/1201 Which is the third biggest value? (a) 6/7 (b) 2 (c) -592196 (d) 0.1 (e) 2/7 e Which is the second smallest value? (a) 0.3 (b) -69 (c) 34 (d) -116 (e) -2 b What is the smallest value in -2083, 4/5, -16, -3? -2083 Which is the second biggest value? (a) 208 (b) 2/9 (c) 0.0258 (d) -26/7 (e) 1/3 e What is the third smallest value in -2/7, 21, -0.2, -466, 20? -0.2 What is the seventh biggest value in -3, 0.389, -1, -2/75, 2, 1/3, 0? -3 What is the sixth smallest value in -0.2, 121/4, -1, 1/6, -0.4, 0, -18? 1/6 Which is the fourth smallest value? (a) -19/4 (b) 52 (c) -1/710 (d) 5 b Which is the smallest value? (a) -2 (b) -0.1 (c) -5900 (d) -4/7 (e) -0.143 c Which is the third smallest value? (a) -0.4 (b) -7/5 (c) 0.78 (d) -3/91 (e) -9 a Which is the third smallest value? (a) 13 (b) 36475/7 (c) 22/5 b What is the second biggest value in -3/58, -3/2, -1/5, 6, 2, -1.3, 0.14? 2 Which is the fourth smallest value? (a) 0.25 (b) 0.2763 (c) -16 (d) -4 (e) -0.5 (f) 0 f Which is the smallest value? (a) -3 (b) 77869/1768 (c) -4 c What is the fourth biggest value in -1.8, 867734, -2, -1/2? -2 Which is the biggest value? (a) 2 (b) -3/4 (c) 1398 (d) -80 c What is the third smallest value in -0.17, 40, 3, -0.5, -17, 0.5? -0.17 Which is the third smallest value? (a) 0.0181 (b) -4 (c) 66.515 c What is the biggest value in -0.8, -0.0694, 5477? 5477 Which is the third biggest value? (a) 1 (b) -4474 (c) 2 (d) -4 (e) 10/9 a Which is the second smallest value? (a) 1/8 (b) 2 (c) 5/8 (d) 0.071478 (e) 5 a Which is the third smallest value? (a) -3/4 (b) -2 (c) -2577 (d) 8 (e) 6 a Which is the second biggest value? (a) 3 (b) -0.6 (c) -98 (d) 1309 (e) -3/2 a Which is the second biggest value? (a) -469 (b) 1.08 (c) 3 (d) -0.03 (e) -0.2 b What is the sixth biggest value in 3/2, -1, 2/9, -2/15, -2/9, 59415, -0.1? -2/9 What is the fifth biggest value in -373, 66, -1/6, 0.014, -1? -373 Which is the second smallest value? (a) -40 (b) -11/26 (c) 5 (d) 0.2 (e) 2/11 b Which is the fourth smallest value? (a) -0.56 (b) 56.7 (c) -3 (d) 1/2 (e) 3 (f) -4 d What is the second biggest value in -1, 0, -0.1, 0.3, 1.5287, 2? 1.5287 Which is the second smallest value? (a) 6 (b) 0.3 (c) 3/14 (d) -5/4 (e) -3 (f) -16 e What is the smallest value in 4, 2/1197, 0.3, -1/3, -2/11, 3? -1/3 Which is the fourth biggest value? (a) 319 (b) -2/11 (c) 3.9 (d) -0.04 (e) 1 (f) 54 e What is the biggest value in 2.6, -0.2, -6, -22/1097? 2.6 Which is the seventh biggest value? (a) -5/124 (b) 2/13 (c) -1/6 (d) -5 (e) -27 (f) 1/4 (g) 0 e Which is the second biggest value? (a) -7 (b) 11 (c) 0 (d) -23 (e) -1 (f) 3 (g) -3 f What is the fourth biggest value in 1, -2, -1, -4725777? -4725777 Which is the second smallest value? (a) -0.4 (b) 69/1329604 (c) 2 (d) -1 a What is the second biggest value in 2/235, -2651, -5/3, -1/2, 4? 2/235 Which is the biggest value? (a) -0.24 (b) 875 (c) -3/121 b What is the smallest value in -5/668, 3, -0.1, -8, -2/73? -8 What is the second smallest value in 9340, 43, 84, -5? 43 Which is the smallest value? (a) -12/2221 (b) 7 (c) 4 a What is the second biggest value in -6, 0.09213, -0.3, 2/79? 2/79 Which is the third smallest value? (a) -0.14 (b) 0.89 (c) -177 (d) -3 a Which is the smallest value? (a) 76 (b) -4 (c) 38 (d) 2588 b Which is the third biggest value? (a) 237230 (b) 7/2 (c) -5 c Which is the smallest value? (a) -4628492 (b) 0.13 (c) 2 a Which is the second smallest value? (a) 34 (b) -84 (c) -1/5 (d) -893 b What is the third smallest value in -1/7, 0.0398, 35, -0.3, 0.5, -7, -5? -0.3 Which is the third smallest value? (a) -12 (b) -2/7 (c) 0.2 (d) -13 (e) -31 (f) -1/3 (g) 4 a Which is the fifth biggest value? (a) -5 (b) -7 (c) 0 (d) 1/4 (e) -4 (f) -14.436 (g) 3 a What is the third biggest value in -7035/341, 2, -5? -7035/341 Which is the third smallest value? (a) 162.9 (b) 268 (c) 1/8 (d) -0.4 (e) -5/2 (f) -1/9 (g) 1 f Which is the fourth biggest value? (a) -1 (b) -3 (c) -0.18 (d) 54840 (e) 0.3 a Which is the second biggest value? (a) -4 (b) 22.11 (c) 1/3 (d) -3 (e) -16 (f) -5 (g) 4 g What is the third smallest value in 1/5, -1/3, 3/7, 9.2, -1697? 1/5 What is the second biggest value in 3/2, 0.0694, -1506? 0.0694 What is the fourth biggest value in -4/9, 1/322, 3/4, -1, 5, 0.4, 353? 0.4 Which is the biggest value? (a) 16 (b) -45 (c) -13/6 (d) -1 (e) -9 a What is the third smallest value in 26, 0.3, -2/9, -1, -181, -0.2? -2/9 What is the smallest value in 2/3, 11, -0.1, 4, 2/7, 112? -0.1 Which is the smallest value? (a) 3 (b) 0.195 (c) 0.4 (d) -394/7 (e) 2 d What is the fifth smallest value in 507, 4/7, -3, 6, 20, 11? 20 Which is the fourth smallest value? (a) 14/5 (b) -0.1 (c) 1/2 (d) 0.8 (e) 39 a What is the fourth smallest value in 1/2, 5.7688, -2, -0.1, -0.01? 1/2 Which is the third smallest value? (a) -4 (b) -15440 (c) 12 (d) 10/7 (e) 1/7 e What is the biggest value in -1/8, 3, -2, 23923, 2/5, 1? 23923 Which is the third smallest value? (a) 15 (b) -2/19 (c) -2019 a What is the sixth biggest value in 135, -4, 0.4, -0.012, -0.1, 76? -4 What is the fifth biggest value in 9, -0.4, -0.1, -3, 2, 24/37, -777? -0.4 What is the fifth smallest value in 625, 3, -3, 1/4, 37? 625 Which is the second smallest value? (a) -527.25 (b) -407 (c) -2/7 b What is the fourth biggest value in -6/7, 1, 1/5, -35710? -35710 Which is the fifth biggest value? (a) -82 (b) 2/17 (c) 2/11 (d) -1 (e) 3 (f) -9 f What is the fifth smallest value in 4, -0.5, -2098, 10/3, 0? 4 What is the third smallest value in -2, -34368, -0.3, 2/17? -0.3 Which is the fifth biggest value? (a) 2 (b) 1/4 (c) 1.73 (d) -14413 (e) -2/7 d Which is the fifth biggest value? (a) 7 (b) -6 (c) -3 (d) -0.06 (e) 0.5 (f) -0.2 c Which is the biggest value? (a) -1.6
{ "pile_set_name": "DM Mathematics" }
384 What is the remainder when 429595753 is divided by 14? 13 Calculate the remainder when 16180319 is divided by 442. 25 Calculate the remainder when 15900255 is divided by 50477. 0 What is the remainder when 904156 is divided by 8021? 5804 What is the remainder when 876227 is divided by 51522? 353 What is the remainder when 1955890 is divided by 536? 26 What is the remainder when 20935750 is divided by 951625? 0 What is the remainder when 60057 is divided by 2243? 1739 Calculate the remainder when 689129 is divided by 1451. 1355 What is the remainder when 14322 is divided by 19? 15 Calculate the remainder when 5902655 is divided by 3863. 3854 Calculate the remainder when 282847216 is divided by 87950. 16 Calculate the remainder when 42506553 is divided by 1339. 1337 What is the remainder when 1418316 is divided by 479? 476 What is the remainder when 497852 is divided by 491? 469 Calculate the remainder when 4741463 is divided by 1551. 56 Calculate the remainder when 5742214 is divided by 1795. 9 Calculate the remainder when 127272 is divided by 9758. 418 Calculate the remainder when 1102084527 is divided by 131. 129 What is the remainder when 46864 is divided by 5002? 1846 What is the remainder when 110242 is divided by 6777? 1810 What is the remainder when 44679959 is divided by 936? 935 Calculate the remainder when 894110432 is divided by 9. 5 What is the remainder when 4843755 is divided by 2340? 2295 Calculate the remainder when 282534333 is divided by 1896. 1893 What is the remainder when 3651717 is divided by 3008? 5 What is the remainder when 18790506 is divided by 1879035? 156 Calculate the remainder when 427017 is divided by 2043. 30 Calculate the remainder when 45858921 is divided by 9148. 9145 What is the remainder when 4617 is divided by 252? 81 Calculate the remainder when 2174955 is divided by 1197. 6 Calculate the remainder when 5353808 is divided by 1921. 1902 What is the remainder when 32635 is divided by 3544? 739 Calculate the remainder when 60020487 is divided by 207. 9 Calculate the remainder when 7800562 is divided by 215. 147 What is the remainder when 54578147 is divided by 22? 19 What is the remainder when 1298117 is divided by 92? 89 What is the remainder when 1165533 is divided by 9245? 663 What is the remainder when 180866 is divided by 8558? 1148 What is the remainder when 2326043 is divided by 449? 223 What is the remainder when 10693920 is divided by 2035? 2030 What is the remainder when 21509653 is divided by 153? 148 Calculate the remainder when 16139272 is divided by 84. 16 Calculate the remainder when 1883845 is divided by 78493. 13 Calculate the remainder when 33089290 is divided by 4624. 4570 What is the remainder when 25576198 is divided by 18? 16 What is the remainder when 180197 is divided by 59997? 206 Calculate the remainder when 14654031 is divided by 6819. 0 What is the remainder when 9503108 is divided by 329? 272 Calculate the remainder when 16118049 is divided by 134317. 9 What is the remainder when 82697 is divided by 336? 41 Calculate the remainder when 142795 is divided by 142572. 223 What is the remainder when 14001140 is divided by 126? 20 What is the remainder when 11693513 is divided by 1661? 73 Calculate the remainder when 5675906 is divided by 156. 2 What is the remainder when 902486 is divided by 238? 228 What is the remainder when 56256 is divided by 1787? 859 Calculate the remainder when 10912920 is divided by 3637621. 57 Calculate the remainder when 4262704 is divided by 2411. 56 What is the remainder when 415225382 is divided by 2495? 2492 Calculate the remainder when 27449994 is divided by 278. 274 What is the remainder when 84485 is divided by 97? 95 What is the remainder when 3628877 is divided by 1631? 1533 What is the remainder when 151021556 is divided by 5178? 8 What is the remainder when 16752432 is divided by 6011? 5786 Calculate the remainder when 6305432 is divided by 147. 14 Calculate the remainder when 2809781 is divided by 233. 34 What is the remainder when 26441647 is divided by 1934? 1933 What is the remainder when 10663495 is divided by 1184814? 169 What is the remainder when 10084874 is divided by 731? 729 What is the remainder when 2447526 is divided by 325? 276 Calculate the remainder when 62493 is divided by 30726. 1041 What is the remainder when 607958 is divided by 41? 10 Calculate the remainder when 3752061 is divided by 150081. 36 Calculate the remainder when 1855519 is divided by 20. 19 Calculate the remainder when 4014321 is divided by 267616. 81 Calculate the remainder when 4063888 is divided by 150. 88 Calculate the remainder when 252729 is divided by 278. 27 What is the remainder when 250596 is divided by 3868? 3044 What is the remainder when 915999 is divided by 4199? 617 What is the remainder when 8041943 is divided by 2359? 112 What is the remainder when 285772 is divided by 142805? 162 What is the remainder when 16425674 is divided by 1580? 1574 Calculate the remainder when 156924647 is divided by 12560. 7 Calculate the remainder when 983796 is divided by 9026. 8988 Calculate the remainder when 1323650 is divided by 9258. 9014 What is the remainder when 1788184 is divided by 982? 944 Calculate the remainder when 12114 is divided by 984. 306 What is the remainder when 5332 is divided by 849? 238 Calculate the remainder when 2966568 is divided by 7. 3 Calculate the remainder when 628325 is divided by 209407. 104 What is the remainder when 152423433 is divided by 50807805? 18 Calculate the remainder when 11417508 is divided by 165. 3 What is the remainder when 78598081 is divided by 6616? 1 What is the remainder when 2413811 is divided by 114937? 134 What is the remainder when 3331099 is divided by 37428? 7 What is the remainder when 184530 is divided by 2628? 570 Calculate the remainder when 1229632 is divided by 72329. 39 Calculate the remainder when 242147 is divided by 4550. 997 Calculate the remainder when 326917 is divided by 2574. 19 Calculate the remainder when 61399 is divided by 7653. 175 Calculate the remainder when 24743235 is divided by 5269. 11 What is the remainder when 2417609 is divided by 217? 12 Calculate the remainder when 15148610 is divided by 82779. 53 What is the remainder when 1421898 is divided by 710933? 32 What is the remainder when 1218610 is divided by 101550? 10 What is the remainder when 1289202262 is divided by 3096? 3094 What is the remainder when 61324574 is divided by 353? 2 What is the remainder when 1460874 is divided by 3470? 4 Calculate the remainder when 275233 is divided by 21167. 62 Calculate the remainder when 293140862 is divided by 58628172. 2 Calculate the remainder when 21276 is divided by 610. 536 What is the remainder when 8570059 is divided by 40? 19 Calculate the remainder when 1878594 is divided by 67087. 158 What is the remainder when 50888 is divided by 587? 406 What is the remainder when 21985784 is divided by 178746? 26 What is the remainder when 4932085 is divided by 29? 26 Calculate the remainder when 1917646 is divided by 2126. 2120 Calculate the remainder when 148117 is divided by 3719. 3076 Calculate the remainder when 56682 is divided by 8036. 430 Calculate the remainder when 1743061 is divided by 348592. 101 What is the remainder when 2519436 is divided by 560? 556 Calculate the remainder when 83505721 is divided by 2001. 1990 Calculate the remainder when 6642733 is divided by 116. 109 What is the remainder when 1356061 is divided by 1789? 1788 What is the remainder when 112188062 is divided by 602? 546 What is the remainder when 12636954 is divided by 55? 44 What is the remainder when 998828 is divided by 506? 490 Calculate the remainder when 1197691 is divided by 513. 349 What is the remainder when 4848118 is divided by 36? 34 Calculate the remainder when 3144364 is divided by 1148. 1140 Calculate the remainder when 304024 is divided by 152001. 22 Calculate the remainder when 114920 is divided by 54487. 5946 What is the remainder when 99353660 is divided by 576? 572 Calculate the remainder when 101465518 is divided by 4. 2 What is the remainder when 17617 is divided by 38? 23 What is the remainder when 3901236 is divided by 535? 16 Calculate the remainder when 2442696 is divided by
{ "pile_set_name": "DM Mathematics" }
: 2, n: 3}? 1/24 Four letters picked without replacement from {u: 1, t: 5, e: 3}. Give prob of sequence tuet. 5/252 Calculate prob of sequence xww when three letters picked without replacement from wwcswtxctwoswtc. 2/273 Calculate prob of sequence mff when three letters picked without replacement from fffwfffwmmfffwwf. 3/56 Calculate prob of sequence irb when three letters picked without replacement from bbriiirbrbrbibribii. 245/5814 Four letters picked without replacement from pepyfypyypefyppycyf. Give prob of sequence fyff. 7/15504 Two letters picked without replacement from {w: 4, z: 2, l: 1, m: 3}. Give prob of sequence ww. 2/15 Four letters picked without replacement from zwwwwwwwzwwzwwzz. Give prob of sequence wzwz. 55/1092 Four letters picked without replacement from {w: 3, n: 3, m: 7}. What is prob of sequence mmwm? 21/572 What is prob of sequence mkmm when four letters picked without replacement from mmzmmzzmmzmkmzz? 2/195 What is prob of sequence bv when two letters picked without replacement from vbvbbvvbbvvvvv? 45/182 Three letters picked without replacement from {n: 3, j: 6, s: 5, d: 1}. Give prob of sequence njs. 3/91 Two letters picked without replacement from {b: 1, k: 3, i: 3, m: 3, t: 1}. What is prob of sequence bi? 3/110 Two letters picked without replacement from {t: 2, d: 4, x: 2, g: 1}. What is prob of sequence dt? 1/9 Calculate prob of sequence tu when two letters picked without replacement from {k: 2, t: 2, c: 1, g: 1, u: 1}. 1/21 Calculate prob of sequence yck when three letters picked without replacement from {c: 1, y: 1, i: 1, j: 5, a: 4, k: 3}. 1/910 Three letters picked without replacement from tqtoqmrtttmtqtrq. What is prob of sequence rmq? 1/210 What is prob of sequence arfr when four letters picked without replacement from rfjrrifrjjfajjjjjrr? 5/5168 Two letters picked without replacement from {r: 16, u: 1, p: 3}. Give prob of sequence pr. 12/95 Four letters picked without replacement from sssossskssssososs. Give prob of sequence sokk. 0 Four letters picked without replacement from {s: 13, e: 1, u: 1, t: 2, f: 3}. What is prob of sequence sefu? 13/38760 Three letters picked without replacement from wzhwhwmwwzwhhbmw. Give prob of sequence zmz. 1/840 Calculate prob of sequence jj when two letters picked without replacement from {q: 2, w: 1, j: 2}. 1/10 Calculate prob of sequence lct when three letters picked without replacement from {l: 7, t: 1, c: 3, j: 5}. 1/160 Two letters picked without replacement from {o: 1, d: 1, u: 1, e: 1, t: 1}. What is prob of sequence dt? 1/20 What is prob of sequence afjy when four letters picked without replacement from {h: 2, j: 1, y: 2, f: 1, a: 1, t: 1}? 1/840 What is prob of sequence nnen when four letters picked without replacement from {c: 3, u: 1, t: 2, n: 5, e: 6}? 3/476 Calculate prob of sequence ccm when three letters picked without replacement from {m: 18, c: 1}. 0 Calculate prob of sequence clca when four letters picked without replacement from {l: 3, a: 9, c: 4}. 27/3640 Three letters picked without replacement from vvvmmvvvvm. What is prob of sequence mmm? 1/120 Two letters picked without replacement from {j: 6, b: 1, d: 7, i: 2, r: 1}. Give prob of sequence bj. 3/136 What is prob of sequence qyoq when four letters picked without replacement from {y: 4, o: 3, q: 5}? 2/99 What is prob of sequence jwwj when four letters picked without replacement from jjjjjwwjwjwwwwwjwjjj? 22/323 What is prob of sequence hlc when three letters picked without replacement from {h: 3, t: 1, c: 2, q: 5, l: 6}? 3/340 Two letters picked without replacement from {a: 2, j: 1, h: 1, i: 1}. What is prob of sequence ah? 1/10 Four letters picked without replacement from ttnvtnnnvncc. Give prob of sequence vvct. 1/990 What is prob of sequence gc when two letters picked without replacement from {s: 1, v: 4, g: 4, c: 3, e: 1, r: 2}? 2/35 Two letters picked without replacement from {a: 1, h: 2, b: 1}. Give prob of sequence ah. 1/6 What is prob of sequence hbhb when four letters picked without replacement from wbwbhwwbwhbwb? 1/429 Two letters picked without replacement from {r: 1, t: 2, k: 2, h: 1, s: 2}. What is prob of sequence rh? 1/56 Calculate prob of sequence nyn when three letters picked without replacement from bbcccnybbbybnqy. 1/455 What is prob of sequence zhpr when four letters picked without replacement from raqhqqzqpazp? 1/2970 Two letters picked without replacement from jjjtjjavjjwjjjljj. What is prob of sequence lv? 1/272 What is prob of sequence lsgl when four letters picked without replacement from ggllslssl? 1/42 Three letters picked without replacement from {w: 1, g: 8, t: 8}. What is prob of sequence wgt? 4/255 Three letters picked without replacement from vvvnlvlnv. Give prob of sequence nln. 1/126 Four letters picked without replacement from wfwwwwwwwwwwwwwwwwwf. Give prob of sequence wwff. 1/190 Four letters picked without replacement from wwgwwgwwwwwgwwwwwwgg. What is prob of sequence wwwg? 455/3876 Four letters picked without replacement from {q: 2, n: 8, w: 4}. Give prob of sequence nnwn. 8/143 Calculate prob of sequence hcvt when four letters picked without replacement from {v: 7, c: 1, k: 4, h: 1, t: 4}. 1/2040 Calculate prob of sequence www when three letters picked without replacement from wwwwwww. 1 Calculate prob of sequence rrf when three letters picked without replacement from rfrrrrrrrfrrrrrrrrrr. 17/190 Four letters picked without replacement from {d: 1, j: 1, l: 2, s: 1, k: 2, f: 2}. What is prob of sequence ffdj? 1/1512 Two letters picked without replacement from pppkpdpkkpdpkk. Give prob of sequence kd. 5/91 What is prob of sequence wo when two letters picked without replacement from wotoowwwwow? 12/55 Calculate prob of sequence gy when two letters picked without replacement from qygnn. 1/20 Three letters picked without replacement from acrc. What is prob of sequence rac? 1/12 Three letters picked without replacement from {n: 2, p: 7, r: 4}. Give prob of sequence pnp. 7/143 Three letters picked without replacement from tyytytllyyyy. Give prob of sequence yll. 7/660 Four letters picked without replacement from nfnffunnnnuun. What is prob of sequence nunf? 63/2860 Four letters picked without replacement from siiiisi. Give prob of sequence isis. 1/21 Three letters picked without replacement from {k: 1, v: 2, t: 1, h: 1, z: 2}. Give prob of sequence zvv. 2/105 What is prob of sequence uo when two letters picked without replacement from {u: 5, o: 7}? 35/132 What is prob of sequence rr when two letters picked without replacement from {f: 1, r: 5, e: 1, q: 1, b: 1}? 5/18 What is prob of sequence px when two letters picked without replacement from pkxmp? 1/10 Two letters picked without replacement from {a: 1, y: 1, b: 1, x: 1, h: 1}. What is prob of sequence hb? 1/20 Three letters picked without replacement from cnsta. Give prob of sequence sna. 1/60 Three letters picked without replacement from rrereerreerrrrrrrer. What is prob of sequence rer? 52/323 Calculate prob of sequence aaaa when four letters picked without replacement from axaaxxxaxx. 1/210 Three letters picked without replacement from booefyyoylb. Give prob of sequence yyy. 1/165 What is prob of sequence ooo when three letters picked without replacement from {o: 3}? 1 Calculate prob of sequence cg when two letters picked without replacement from vhzzzzgzc. 1/72 Two letters picked without replacement from {n: 7, i: 5, f: 2}. What is prob of sequence nn? 3/13 Four letters picked without replacement from {o: 1, l: 1, m: 1, p: 3, z: 2, h: 3}. What is prob of sequence lozm? 1/3960 What is prob of sequence gzzz when four letters picked without replacement from zzggzggggg? 1/120 Four letters picked without replacement from ssswmssssssmsshmmsww. Give prob of sequence whws. 1/1615 Two letters picked without replacement from {i: 1, e: 1, h: 3, t: 1, g: 1}. What is prob of sequence ii? 0 Calculate prob of sequence yn when two letters picked without replacement from nnnewwwwyy. 1/15 Four letters picked without replacement from uuxxuuxxxxuux. What is prob of sequence uxxu? 21/286 Calculate prob of sequence okok when four letters picked without replacement from kouukukuokukokkkkum. 3/646 What is prob of sequence ac when t
{ "pile_set_name": "DM Mathematics" }
563/39115 or -1? 563/39115 Which is bigger: 2333452 or 2333454? 2333454 Is 19141922 smaller than 19141923? True Are 26359 and 20863 equal? False Which is greater: -7952 or -2027863/255? -7952 Which is greater: -2 or -9032/8161? -9032/8161 Which is greater: 1945/2 or 1416.6? 1416.6 Which is smaller: 20928146 or 20928144? 20928144 Is -9567153 >= -9567149? False Is -625522/227 bigger than -2756? True Which is smaller: 590 or -764? -764 Which is greater: -30958 or -30652? -30652 Which is greater: 1/26374007 or 0? 1/26374007 Is -187891/2 greater than or equal to -6? False Is -289806/89 < 0.1? True Are -789106 and -789110 equal? False Which is smaller: -242068 or -242089? -242089 Which is smaller: 80515 or 885677/11? 80515 Is -36547 greater than -36560? True Is 344 > -33.1359? True Which is smaller: -1 or 121/3321? -1 Is -59233 greater than -59358? True Which is bigger: 13000271 or 13000257? 13000271 Which is bigger: -19089894 or -19089895? -19089894 Is 2/7 less than 304952166? True Which is greater: 89 or 312300? 312300 Which is bigger: -236164879 or -236164880? -236164879 Which is smaller: 28/827517 or 0? 0 Which is smaller: 15/42203687 or 0? 0 Are 31134890 and 31134889 non-equal? True Is -1 >= -842/563439? False Which is smaller: 2.892098 or -0.1? -0.1 Are 63/51959795 and 1 non-equal? True Is 377192 greater than 377154? True Which is greater: 387761 or 86/9? 387761 Which is greater: -6527 or 3787? 3787 Is -905676/271 at least -3342? True Which is smaller: 7/24767 or -102? -102 Which is bigger: -5/55752 or -4.1? -5/55752 Which is bigger: -5 or 2629389? 2629389 Which is greater: 518447.8 or -0.94? 518447.8 Which is smaller: 4995975 or 4995822? 4995822 Which is bigger: 6/6536233 or 1? 1 Which is smaller: -2 or 3.6173257? -2 Which is smaller: 406032786 or 406032787? 406032786 Is 1 smaller than -1/22147453? False Which is smaller: -3290 or -8204? -8204 Are 2598249 and 3/7 equal? False Are -4 and -49205/10238 equal? False Which is smaller: -8/2029809 or 1? -8/2029809 Which is bigger: -43146965 or -43146968? -43146965 Which is greater: -806 or -557549/691? -806 Is 3872678/9 at least -0.2? True Which is bigger: 5976612 or 5976611? 5976612 Are -1 and -12/35887999 nonequal? True Which is smaller: 708635/68 or 10420? 10420 Is 0.4 <= 1/1993723? False Is -157879 smaller than -159785? False Which is smaller: 21 or 7/242988? 7/242988 Is 15928 at least 16051? False Which is greater: 27739 or 26722? 27739 Which is smaller: 9479255 or 9479260? 9479255 Is -4173807 at least as big as -70954713/17? False Which is smaller: 3590/10571 or 0? 0 Which is smaller: 568322/4057 or 139? 139 Is 129399 < -48? False Is -9405 >= -272743/29? False Which is greater: -6241446 or -49931557/8? -49931557/8 Is 0.3377 less than or equal to -975? False Are -15865 and 147 equal? False Is 1807827 less than 1807836? True Which is greater: 1795560 or 7/5? 1795560 Which is smaller: -3185299/5 or 3/4? -3185299/5 Is -24/24907 <= 2/5? True Is 37078885 at least as big as 37078885? True Is 7497 bigger than 7578? False Is -63079596 at least as big as 2/5? False Is -449977 < -449850? True Are -43392 and 62/417 non-equal? True Is 30674303 greater than or equal to 30674305? False Which is smaller: -15.54 or -116.9? -116.9 Which is bigger: -435960 or 200? 200 Is -31554198 smaller than -31554198? False Is 57463806 greater than or equal to 57463805? True Is 0.1028 < -165.61? False Which is smaller: -27389829 or -27389827? -27389829 Which is smaller: 72966 or -2/29? -2/29 Is 2915.8 less than -3.43? False Is 165631 greater than 165712? False Are -51836833 and -51836832 non-equal? True Is -213789/1336 at least -159? False Is -51945727 <= -51945732? False Is 827385 greater than or equal to 827387? False Which is smaller: 1/2 or 89606151? 1/2 Is 851304 > 851503? False Is 3/35106112 at least 1? False Which is smaller: 246776/349 or 708? 246776/349 Is -420026 less than -420000? True Are 113/2 and 1823.5 nonequal? True Which is greater: 1 or -2387/17728? 1 Which is greater: 345 or 0.35895? 345 Which is smaller: -2172075 or -2172071? -2172075 Are 17/6 and 2/6128611 non-equal? True Which is smaller: -1091 or -173323/159? -1091 Is -2374.52 >= 508? False Does 1860459 = 1860453? False Which is smaller: 158433 or 1? 1 Is 7 bigger than -7537696? True Do -390336 and -2 have the same value? False Which is smaller: 1814136 or 1814135? 1814135 Which is smaller: -334269 or 783? -334269 Is 364127.96 at most -1? False Which is bigger: 39734/1915 or 20? 39734/1915 Is 1010341 at least 1010266? True Is -1433925 > -1433913? False Which is smaller: 683622 or 4785348/7? 4785348/7 Which is smaller: -281.374 or 55/16? -281.374 Which is smaller: 0 or -6449/22947? -6449/22947 Is 1484045 greater than or equal to 1484054? False Is -25.67 equal to -2/847433? False Is -113/33940 at least -4/3? True Which is bigger: 86920 or 83496? 86920 Is 2 < 38950129? True Is -21620 equal to -23631? False Is 5946553 not equal to 5946554? True Is 1153.25 smaller than -2/13? False Which is smaller: -42 or -196955? -196955 Which is smaller: -127.98285 or 15? -127.98285 Which is bigger: 17319 or 18859? 18859 Is 1697155508 less than or equal to 1697155509? True Is -44458590 != -44458587? True Which is bigger: 45942459 or 45942455? 45942459 Is -1 != -0.476286434? True Is 546161 greater than or equal to 546158? True Is -46127 > -2.89? False Which is smaller: 303/1333 or 1? 303/1333 Is 37035 equal to 555526/15? False Which is smaller: -16 or 3216421? -16 Are -1563294 and 144 equal? False Which is bigger: 102039716 or 102039717? 102039717 Which is greater: -6 or -114513/18995? -6 Which is greater: 5241 or -573? 5241 Which is bigger: -280917 or -45? -45 Is 21/73 equal to -19924? False Which is greater: -1046026244 or -1046026242? -1046026242 Is -1781724 not equal to -1781717? True Which is smaller: -532996/55 or -9691? -9691 Are 788/151727 and 1 non-equal? True Which is greater: 4425 or 2895? 4425 Do -114521 and -114528 have the same value? False Is -0.2099 at least 1/4144? False Which is smaller: -13 or -9851720? -9851720 Which is smaller: 4.84 or -231/10? -231/10 Is 2388074/1415 >= 1687? True Is -83796986/5 > -16759396? False Is 2130.13 less than 23? False Are 3016049 and 27144430/9 equal? False Is -31400 at least as big as -32/3? False Are -180490199 and -180490200 unequal? True Which is smaller: 29372914 or 29372909? 29372909 Is 730397 < 730393? False Which is bigger: 35/519044 or 1? 1 Is -108986090 <= -108986089? True Which is greater: 122313096 or 122313093? 122313096 Which is smaller: -1 or -197117231? -197117231 Which is bigger: -3998805/13 or -307599? -307599 Is -2/83529 equal to 503? False Is 0 bigger than -1537/299633? True Which is greater: 3/5 or 42401.681? 42401.681 Is 3852946 at least 2? True Are 0.562 and 104.07 equal? False Which is bigger: -2/93866415 or 1? 1 Is 356 equal to 366863/1030? False Which is greater: 1/433 or 1195/3? 1195/3 Is -1/2 > -7632367? True Which is bigger: -5325267 or -5325280? -5325267 Is 2730 greater than or equal to -1/1786? True Which is greater: -44829/43420 or 0? 0 Which is smaller: 2 or 9296136? 2 Which is bigger: 17839 or 17342? 17839 Which is smaller: 94548996 or -4? -4 Is 1261236 < -125? False Which is smaller: 25/1370226 or -1? -1 Do 0.2 and 27672/59 have the same value? False Which is smaller: -3550455 or -3550405? -3550455 Is -5763258 < -5763259? False Is 1121601 greater than or equal to 1121582? True Do 38012 and 38787 have the same value? False Is -1 at least -40/21268113? False Which is bigger: 375295145 or 375295146? 375295146 Which is smaller: 14111597 or 14111600? 14111597 Which is smaller: -31/3999132 or 1? -31/3999132 Which is bigger: -20.6 or 2592267? 2592267 Which is greater: -89113 or -86914? -86914 Are 1132579 and 1132558 equal? False Which is greater: -0.249 or -2/1010437? -2/1010437 Is -281434 at least -9/11? False Which is smaller: -1510634 or -1510630? -1510634 Which is smaller: -6009591 or -6009521? -6009591 Is 177121 equal to 177762? False Is -1431952/73 >= -19615? False Is 2.1268854 at least as big as 0.48? True Do -214284302 and -214284299 have the same value? False Are 0 and -31/2319508 equal? False Which is smaller: 22642/45515 or -1? -1 Is -13646 equal to -9005? False Is -66/39966473 > -
{ "pile_set_name": "DM Mathematics" }
. Give k(7). -1569 Let x(g) = -22*g**2 + 2485*g + 100. Determine x(113). -13 Let h(n) = -60*n**2 - 62*n - 13. Give h(-1). -11 Let h(x) = -x**2 - 4930*x - 97658. Give h(-20). 542 Let t(f) = 171*f**2 - 13517*f + 682. Determine t(79). 50 Let o(s) = -1886*s + 416760. Give o(221). -46 Let v(g) = 240429*g + 1683020. Determine v(-7). 17 Let b(h) = 131706*h - 658468. What is b(5)? 62 Let v(n) = 3*n**2 + 31*n + 181. Calculate v(-7). 111 Let c(j) = 5*j**2 - 222*j - 582. Determine c(47). 29 Let q(r) = 208*r + 38427. Determine q(-183). 363 Let o(p) = -p**3 + 23*p**2 - 124*p - 210. Give o(13). -132 Let g(q) = 28793*q - 259147. Give g(9). -10 Let t(z) = 4*z**3 - z**2 - 234*z + 13. What is t(0)? 13 Let s(d) = -162*d - 22624. Calculate s(-145). 866 Let a(u) = 40022*u - 1160678. What is a(29)? -40 Let s(n) = -n**3 + 133*n**2 + 266*n + 1198. Give s(135). 658 Let h(v) = v**3 - 1251*v**2 + 6574*v - 428595. Calculate h(1246). 29 Let k(l) = 4*l**2 - 127*l + 698. Determine k(31). 605 Let i(z) = -144*z + 5162. Calculate i(41). -742 Let i(h) = 2*h**3 - 254*h**2 - 4885*h + 192. Give i(-17). 5 Let k(b) = -b**2 - 6810*b - 149344. Determine k(-22). -8 Let f(i) = -3*i**2 + 47*i - 205. Give f(18). -331 Let s(m) = -1272*m + 28982. Calculate s(22). 998 Let y(t) = -42964*t - 472580. Determine y(-11). 24 Let p(s) = -438*s**3 + 1920*s**2 - 1924*s + 2. Calculate p(1). -440 Let u(k) = -999*k**2 + 33966*k + 149. Determine u(34). 149 Let q(r) = 2*r**3 - 13*r**2 - 100*r + 81. Determine q(0). 81 Let d(a) = 2*a**3 + 68*a**2 - 30*a - 77. Determine d(-34). 943 Let f(d) = d**3 - 81*d**2 + 1685*d - 2237. Give f(43). -44 Let w(r) = 10892*r - 1655764. Give w(152). -180 Let s(o) = -o**3 + 220*o**2 + 3032*o - 290. Calculate s(-13). -329 Let p(b) = 7340*b - 66058. Give p(9). 2 Let j(d) = -10*d**2 - 9561*d + 38366. Give j(4). -38 Let m(f) = 843*f - 23130. What is m(31)? 3003 Let y(o) = -2*o**3 - 150*o**2 + 66*o + 7510. What is y(-75)? 2560 Let k(o) = 3280*o - 16411. What is k(5)? -11 Let v(r) = -13*r**2 - 1715*r + 1748. Calculate v(-133). -114 Let v(g) = g**3 - 6*g**2 - 165*g - 29. Give v(-10). 21 Let j(u) = u**3 + 246*u**2 - 986*u + 2492. Determine j(-250). -1008 Let o(n) = -n**3 + 175*n**2 + 2789*n + 2013. Give o(-14). 11 Let v(q) = -q**3 + 93*q**2 - 1876*q + 1274. Determine v(64). -6 Let p(w) = 11272*w + 56268. What is p(-5)? -92 Let r(n) = -20*n**2 + 126*n + 2000. What is r(0)? 2000 Let b(f) = 682*f - 15803. Calculate b(23). -117 Let x(v) = 4*v**3 + 115*v**2 + 954*v + 2238. What is x(-4)? 6 Let q(a) = 10427*a + 9603268. Give q(-921). 1 Let d(s) = -142*s**2 + 3263*s + 52. What is d(23)? -17 Let f(a) = 31*a**2 + 8744*a - 8341. Determine f(-283). -134 Let m(v) = 3*v**2 + 3684*v + 25720. Give m(-7). 79 Let r(b) = b**3 + 38*b**2 - 41*b - 180. Calculate r(-38). 1378 Let p(h) = -1473*h - 27971. Give p(-19). 16 Let w(a) = -4*a**3 + 71*a**2 + 288*a - 5755. What is w(17)? 8 Let p(x) = 585*x + 11691. What is p(-21)? -594 Let v(h) = -210*h**3 + 8*h**2 + h - 10. Give v(1). -211 Let h(i) = -165884*i + 17915463. Calculate h(108). -9 Let o(b) = b**3 - 5*b**2 - 153*b + 3. Give o(-12). -609 Let s(g) = -2*g**3 + 21*g**2 - 482*g + 4259. Determine s(9). 164 Let s(m) = m**3 - 114*m**2 - 27733*m - 592. Calculate s(-119). 122 Let t(z) = 11186*z + 436231. Give t(-39). -23 Let o(a) = -1434*a - 43053. Calculate o(-30). -33 Let z(f) = -6*f**2 + 38*f + 237. Give z(-4). -11 Let n(q) = 2*q**3 + 50*q**2 + 294*q - 95. Give n(-15). -5 Let a(p) = 2225*p**2 + 224727*p + 198. What is a(-101)? -4 Let g(j) = 15051*j - 10896941. Calculate g(724). -17 Let n(t) = -22819*t - 296867. Determine n(-13). -220 Let j(u) = -4*u**3 - 377*u**2 - 86*u + 754. Determine j(-94). 2 Let w(o) = -1902*o + 35397. Calculate w(19). -741 Let u(n) = -352*n - 30389. Calculate u(-82). -1525 Let j(y) = -y**3 - 155*y**2 + 646*y + 1729. Calculate j(-159). 139 Let q(c) = 22*c**2 - 1307*c - 6471. Determine q(64). -7 Let x(p) = p**3 - 5*p**2 + 77*p - 385. Determine x(5). 0 Let t(s) = 280956*s - 561853. Calculate t(2). 59 Let a(c) = 129110*c + 2323982. Give a(-18). 2 Let a(f) = 58*f**2 - 10845*f - 161. What is a(187)? 26 Let n(v) = v**3 + 21*v**2 - 398*v + 130. Determine n(-28). 5786 Let s(o) = 141*o + 1002. Give s(-7). 15 Let u(z) = -z**2 + 296*z + 29253. Give u(-76). 981 Let n(y) = y**3 + 424*y**2 + 44369*y + 222. Determine n(-236). -14 Let v(k) = k**3 + 286*k**2 + 7231*k - 902. Calculate v(-258). -2708 Let q(b) = b**3 - 5*b**2 - 739*b + 83. Give q(-25). -192 Let p(h) = h**2 - 1866*h + 68366. Give p(38). -1098 Let s(h) = -h**3 - 425*h**2 - 1256*h + 4230. What is s(-422)? 10 Let j(q) = 4*q**3 - 38*q**2 - 23*q - 8. Give j(11). 465 Let z(v) = 380*v + 1890. Give z(-5). -10 Let x(q) = -6*q**2 + 11509*q + 104105. What is x(-9)? 38 Let w(c) = -191633*c + 27595167. Calculate w(144). 15 Let i(y) = 11385*y - 4986643. Determine i(438). -13 Let b(f) = -f**3 - 472*f**2 - 9896*f + 1784. Determine b(-450). -16 Let w(v) = -193*v**2 - 22*v + 39. Determine w(2). -777 Let t(g) = 55315*g - 1382813. Calculate t(25). 62 Let p(q) = -14*q**2 + 171*q - 616. What is p(4)? -156 Let v(t) = 1032*t + 376671. Give v(-365). -9 Let p(a) = a**3 + 55*a**2 + 201*a + 10878. Determine p(-55). -177 Let m(t) = 6*t**3 + 38*t**2 - 35*t - 68. Calculate m(-7). -19 Let x(p) = -686*p + 136010. Calculate x(197). 868 Let r(c) = 1093*c + 419702. Calculate r(-384). -10 Let i(u) = -2220*u - 46197. Calculate i(-21). 423 Let t(o) = -272*o**2 - 563*o - 30. Calculate t(-2). 8 Let d(s) = 37*s**2 - 6851*s + 7907. Calculate d(184). -5 Let r(v) = 10378*v + 425487. Give r(-41). -11 Let z(w) = 3*w**3 - 4537*w**2 - 9093*w - 27. Calculate z(-2). -13 Let x(p) = 2*p**3 - 465*p**2 - 32293*p + 1054. Determine x(-56). -10 Let h(z) = 30*z**3 + 30*z**2 - 191*z + 157. What is h(1)? 26 Let m(n) = n**3 - 1269*n**2 + 4*n + 19. Give m(0). 19 Let v(f) = f**3 - 39*f**2 - 57*f + 838. Calculate v(40). 158 Let x(y) = 264*y**2 - 2455*y - 8603. Give x(12). -47 Let g(b) = -3*b**2 - 801*b + 11593. Give g(-282). -1097 Let g(v) = -9*v**3 + 63*v**2 + 3204*v - 22415. Calculate g(7). 13 Let q(v) = -2*v**3 + 32*v**2 + 33*v - 966. Calculate q(6). -48 Let t(d) = -27*d**2 + 67*d + 86. Give t(-1). -8 Let i(x) = -2*x**3 - 70*x**2 - 510*x - 16. Calculate i(-20). -1816 Let t(k) = 18*k**2 - 2083*k + 45170. What is t(29)? -99 Let k(l) = 2*l**3 - 198*l**2 - 19*l + 1171. Determine k(99). -710 Let x(r) = r**2 - 327241*r + 3926746. Give x(12). -2 Let g(v) = -3*v**3 - 80*v**2 - 534*v - 305. Determine g(-10). 35 Let x(w) = -w**2 - 156*w - 2864. Give x(-19). -261 Let y(d) = 613*d**3 + 9*d**2 - 11*d + 1. What is y(1)? 612 Let c(f) = f**3 - 1957*f**2 + 23390*f - 608. What is c(12)? -8 Let g(t) = t**2 + 1424*t + 347675. Give g(-313). -68 Let v(k) = 207*k + 2316. Give v(-6). 1074 Let z(v) = -3*v**2 - 313*v + 2650. Calculate z(8). -46 Let b(l) = 30*l**2 + 7938*l + 63418. Determine b(-8). 1834 Let v(o) = 2*o**3 - 24*o**2 - 144*o + 1750. Determine v(10). -90 Let z(a) = 2*a**3 - 117*a**2 - 254*a + 18196. Give z(58). 100 Let y(d) = 30*d**2 - 2741*d + 920. Calculate y(91). -81 Let d(r) = -r**3 - 32*r**2 + 486*r - 1837. Give d(-44). 11 Let q(h) = 2033*h - 4003. Give q(2). 63 Let d(s) = -28691*s + 6713703. Calculate d(234). 9 Let n(d) = d**3 + 64*d**2 + 707*d + 98. What is n(-14)? 0 Let z(o) = o**2 - 10065*o + 430945. Determine z(43). -1 Let l(r) = 24*r**2 - 562*r - 323. Determine l(24). 13 Let b(u) = -6260*u + 12520. What is b(2)? 0 Let t(f) = -3*f**2 - 390*f + 185. Give t(-131). -208 Let u(n) = 305*n**2 - 7522*n - 103. Determine u(25). 2472 Let s(z) = -9*z**3 - 1492*z**2 - 1159*z - 626. What is s(-165)? 34 Let z(p) = p**3 - 7*p**2 - 32*p + 890. Determine z(-10). -490 Let r(d) = 5*d**2 + 210*d + 139. Give r(-40). -261 Let a(w) = -9732*w + 175174. Give a(18). -2 Let x(q) = 58618*q + 6389366. Give x(-109). 4 Let m(f) = -241*f + 21375. Give m(89). -74 Let v(y) = -332*y - 2078. Give v(-6). -86 Let g(j) = j**3 - 74*j**2 - 1023*j - 853. Calculate g(86). -79 Let o(h) = h**3 - 48*h**2 + 86*h - 1825. Calculate o(47). 8 Let b(s) = -380*s - 18779. Determine b(-50). 221 Let l(a) = -17*a**3 + 113*a**2 - 185*a + 78. What is l(1)? -11 Let v(b) = -787*b + 41670. What is v(53)? -41 Let r(y) = 745*y - 327834. Give r(440). -34 Let c(r) = 30*r**2 - 37*r + 75. What is c(-3)? 456 Let p(m) = 18
{ "pile_set_name": "DM Mathematics" }
. Let f be u/10*10/2. What is the units digit of 10*(-1)/(4/f)? 5 Let u(j) = j - 1. Let v be u(3). Let w be ((3 + -3)/v)/2. Suppose w = 4*k + 1 - 5. What is the units digit of k? 1 What is the tens digit of 13 - (4/5 - (-4)/20)? 1 Suppose 3*c - 156 = -3*i, -5*c + 9 - 85 = -i. What is the units digit of i? 6 Let l = 57 - -7. What is the tens digit of l? 6 Let k(r) = 3*r + 9. Let y be k(-6). Let d = 16 + y. What is the units digit of d? 7 Suppose -q + 2*z = -116, 3*q + 3*z - 225 = q. What is the tens digit of q? 1 Suppose 156 = -4*p + 2*p. Let j = p + 109. What is the units digit of j? 1 Let j = 9 - 13. What is the units digit of (-1)/j - 275/(-20)? 4 Let y = 16 + -28. Let r = -10 - y. What is the units digit of r? 2 Let o(k) = -71*k**3 + 3*k**2 + 2*k. What is the units digit of o(-1)? 2 Suppose 2*h - 29 = i - 7, 2*h + 5*i - 10 = 0. What is the units digit of h? 0 Suppose 0*l + 4*l - 60 = 0. Let o be 423/l - (-2)/(-10). Suppose d - 5*d = -o. What is the units digit of d? 7 Suppose 372 = -9*n + 2316. What is the units digit of n? 6 Suppose -t - 2*t = 12. Let o be 2/8 - 67/t. Let g = o - 12. What is the units digit of g? 5 Suppose -8*x + 15 = -11*x. Let b(h) = h**3 + 7*h**2 + 4*h - 1. What is the units digit of b(x)? 9 Let p(f) = f**3 + 4*f**2 - 4*f + 5. Let s be p(-5). Suppose s = -2*j - j - 42. Let q = -8 - j. What is the units digit of q? 6 Let o = 3 - 2. Let b(z) = 19*z**2 + 2*z - 1. Let n be b(o). Suppose -3*w - 29 = -2*i, -i + n - 8 = -w. What is the units digit of i? 7 Suppose 0 = 4*n + n - 55. What is the units digit of (-14)/77 + 68/n? 6 Let w(n) = n**3 + 5*n**2 - 2*n - 7. What is the units digit of w(-5)? 3 Suppose 2*k = 3*k - 4. Let l(s) be the first derivative of s**2/2 + 1. What is the units digit of l(k)? 4 Suppose 154 = r + s - 89, -5*s - 954 = -4*r. What is the tens digit of r? 4 Suppose 9 = 2*x - 61. What is the units digit of x? 5 Let x = -29 - -69. What is the units digit of x? 0 Let s = 11 + -5. Suppose -2*j + 14 + s = 0. What is the tens digit of j? 1 Let a be (-2 + 3 - 2)/1. Let f be ((0 + a)*13)/(-1). Suppose 3*h + m - f = -0, 5*m + 31 = h. What is the units digit of h? 6 Let y(w) = 5*w + 3. Suppose 0 = -4*s - 0*s + 20. What is the tens digit of y(s)? 2 Let j(k) = -3*k**3 + k**2 + 3*k + 18. What is the hundreds digit of j(-5)? 4 Let h be (15 + -1)/(15 + -13). Suppose -3*a = -h*a + 52. What is the units digit of a? 3 Let x = 3 - 0. What is the tens digit of ((-2)/x)/(2/(-39))? 1 Let l(b) = b + 5 + 8 + 6. What is the units digit of l(-13)? 6 Let s = -37 - -71. What is the units digit of s? 4 Suppose f = -4*g + 8*g - 128, -4*f + 128 = 4*g. What is the units digit of g? 2 Let d = -20 + 15. Let y(k) = -3*k**3 + 2*k**2 + 9*k + 11. Let f(l) = -4*l**3 + l**2 + 10*l + 12. Let r(z) = -4*f(z) + 5*y(z). What is the units digit of r(d)? 7 Suppose 0 = -4*b, 2*w = -0*w - 3*b + 700. What is the tens digit of w? 5 Let i(y) = -y**3 + 3*y**2 - 2*y + 3. Let x be i(2). Suppose 5*f + 4 = 9, -5*f = -x*m + 34. What is the tens digit of m? 1 Suppose 4*f + 13 + 7 = 0. What is the units digit of (-1)/(f + 4)*2? 2 What is the tens digit of (5/7 - 1) + 2001/21? 9 Suppose -4*k = -p + 159, -3*p + 0*k - 3*k + 462 = 0. What is the units digit of p? 5 Let v(u) = -u**2 - 5*u + 3. Let k be v(-5). Let b be (k + -3)/(-2 + 1). Suppose f - 57 = -5*g + 2*g, b = 4*f - 12. What is the tens digit of g? 1 Suppose 60 = l - 2*w, 4*l - 3*w + 10 - 240 = 0. Suppose 5*q - l = 44. What is the tens digit of q? 2 Let o(z) = -z**3 + 10*z**2 - 2*z + 8. Let d be 9 - 2/((-4)/2). Let i be o(d). Let u = 19 + i. What is the units digit of u? 7 What is the hundreds digit of (-6)/(-51) - (-1953)/17? 1 Suppose 39 - 6 = -3*c. Let v = c + 20. What is the units digit of v? 9 Let q(y) = y**3 + 3*y**2 + 2. Let o be q(-3). Let f = 12 - o. What is the units digit of f? 0 Let d = -594 + 838. What is the hundreds digit of d? 2 Let u(g) = g - 1. Let o be u(-7). Suppose 0*l - 4*l - 68 = 0. Let s = o - l. What is the units digit of s? 9 Suppose -4*a + 21 = 1. Suppose -3*b + 20 = -4*d, a*b - 11 = 3*b + 5*d. What is the units digit of b? 8 Let x be 2 - 2/(-6)*-3. What is the tens digit of (x + 1)*189/14? 2 Suppose -b + 20 = 4*b. Suppose 0 = 4*p - 3*x + 9, -b = -4*p - 4*x - 20. What is the units digit of (-3)/(1/(2/p))? 2 Let q = 3 - 6. Let t(a) = a**2 + 3*a + 1. What is the units digit of t(q)? 1 Suppose -2*a + 3*w = -120, 191 = a + 2*a + w. Suppose 5*b - a = 7. What is the units digit of b? 4 Suppose 5*w - 31 = -6. Suppose -3*f - 14 = -w*f. What is the units digit of f? 7 Let a be (-45)/(-20)*32/12. Let g = -32 - -62. Suppose 3*n + g = a*n. What is the tens digit of n? 1 Suppose 5*p = -0*p + 55. What is the units digit of p? 1 Let b(a) = 2*a**2 - 2*a. Let x be b(2). Suppose 15 = x*u - u + 3*t, -5*t = -5*u + 25. Suppose u*k - k - 56 = 0. What is the units digit of k? 4 Suppose 211 = -10*y + 11*y. What is the units digit of y? 1 Suppose -i - 3*z - 17 = 0, i - 4*z = z + 23. Let l be (15/9)/(i/(-12)). Suppose -5*s + 10 = -l. What is the units digit of s? 4 Let y(q) = -q**3 - 6*q**2 + 4*q + 9. What is the tens digit of y(-7)? 3 Suppose -23*a - 60 = -25*a. What is the tens digit of a? 3 Let d = -78 + 186. Suppose 0 = -4*z + 2*z - 5*t + d, -z + 3*t = -54. What is the units digit of z? 4 Let r(z) = z**3 - 5*z**2 - 11*z + 9. Let y be r(7). Let q be (-18)/(-4) + 3/(-6). Suppose -q*g - g = -y. What is the units digit of g? 6 Let i(y) = y**3 + 10*y**2 + 11*y + 7. Let w be i(-9). Let p be w/(-5) - (-4)/(-20). Suppose v - 3*h = -5, 8 = 2*v + p*v + 2*h. What is the units digit of v? 1 Let u(q) = -2*q - 3. Let d be u(-4). Suppose d = 4*m + 5*p, 2*m = -m - p + 1. Suppose -4*j + 9 = -5*s - 12, m = -2*j + s + 9. What is the units digit of j? 4 Suppose 0 = 3*r - 5*r - d, 6 = 4*r + 5*d. Let c be (1/(-4))/((-3)/24). What is the tens digit of (r + -1)*(-10)/c? 1 Suppose -l - 15 = -3*p, 9*p - 3*l = 4*p + 21. Suppose -p - 41 = -4*v + 5*o, -o - 19 = -2*v. What is the units digit of v? 8 Let g(j) = j**2 - 4*j + 3. Let t be g(3). Let x be 3/2*(2 - t). Suppose z + k = x*z - 5, 2*k + 4 = -2*z. What is the units digit of z? 1 Let k(y) = -5*y - 4. Let j be k(-3). Suppose p - 4*c = 7, -j = -p - 2*p + 2*c. Suppose 0 = -q - 3*q, 2*n = p*q + 10. What is the units digit of n? 5 What is the units digit of 3/6*-3*-54? 1 Let j(p) = p**3 - 7*p**2 - 5*p + 5. What is the tens digit of j(9)? 2 Let z = -63 - -38. Let f = z + 44. What is the units digit of f? 9 Let f(l) = -l**3 - 10*l**2 + 12*l + 7. Let v be f(-11). Let g = 5 - v. What is the units digit of g? 9 Let h(j) = j**2 - j - 4. Suppose y - 5 + 2 = 0. Let z be h(y). Suppose -z*p - p = -51. What is the units digit of p? 7 Let t(h) = h**3 + 5*h**2 - 6*h + 2. Let i be t(-6). Let f be (-20)/6*(-3)/2. Suppose 5*r - i*a - 2*a - 18 = 0, 3*r - 3 = f*a. What is the units digit of r? 6 Let p = 14 + 0. Suppose 2*i = 6*i + 20. Let t = p + i. What is the units digit of t? 9 Suppose -4*i + 984 = d + 379, -4*i - 4*d = -608. What is the tens digit of i? 5 Let f be (-345)/(-7) + 4/(-14). Suppose -f = -2*u - 13. What is the tens digit of u? 1 Suppose 0 = -2*d - 0*d - 6, 0 = n + 5*d + 22. Let f(o) = -o**2 - 7*o + 1. What is the units digit of f(n)? 1 Let a = 8 - 5. Suppose -2*m = -w, a*w = 5*m + 2 - 1. Suppose 3*c - 2*t = -2*c + 76, w*c - 16 = -4*t. What is the tens digit of c? 1 Let m = -3 + 3. Suppose m = 9*h - 8*h - 11. What is the units digit of h? 1 Let b = -236 + 368. What is the units digit of b? 2 Let f be 2*(-2)/((-8)/14). Let k(d) = 6*d. What is the units digit of k(f)? 2 Suppose 9*v - 4*v - 295 = 0. What is the units digit of v? 9 Let z be 30/(-24)*(-4 + 0). Suppose 145 = z*y + 20. What is the units digit of y? 5 Let b(w) = -1 + 5 - w**2 - 3. Let o be b(-1). Suppose -4 = 2*s - s, -m - 4*s - 8 = o. What is the units digit of m? 8 Let q = -5 - -7. Let g = 8 - q. What is the units digit of g? 6 Let b(z) = -1 + 2*z**2 + 2*z - 5*z**2 - 3*z**2. Let u be b(1). Let g = u + 11. What is the units digit of g? 6 Let h be (-3 + 1)/(-2) + 6. Let s = -3 + h. What is the units digit of s? 4 Let v be (-16)/6*(-3)/2. Suppose v*i = -7 + 51. What is the units digit of i? 1 Let o(w) = -2*w - 12. Let f be o(-6). Let k(n) = 2*n + 19. What is the tens digit of k(f)? 1 Suppose -4*g + 5 + 1 = -s, -2*s = -2*g. Let v
{ "pile_set_name": "DM Mathematics" }
qrt(204) + sqrt(204)*-1)*-5)/(-1*sqrt(48)). 0 Simplify 3*-6*(sqrt(432) + 2)**2. -7848 - 864*sqrt(3) Simplify (sqrt(294) + sqrt(294)*-1)/(sqrt(2) + -2*sqrt(98)). 0 Simplify (4*((sqrt(1331) + 0 - sqrt(1331)) + 0))**2. 0 Simplify 2 + sqrt(2) + -1 - sqrt(8)/(-1*sqrt(4)). 1 + 2*sqrt(2) Simplify -4*2*(sqrt(160)/sqrt(4))/sqrt(8). -8*sqrt(5) Simplify ((sqrt(36)/sqrt(6) + sqrt(6))*-5)/sqrt(3). -10*sqrt(2) Simplify sqrt(114)/(-1*(-2*sqrt(6) + sqrt(6))). sqrt(19) Simplify 5*((sqrt(325) - (sqrt(325) + (4*sqrt(325)*2)**2)) + -2). -104010 Simplify ((sqrt(832) + sqrt(832)*2)*6)**2*6. 1617408 Simplify (sqrt(11) - sqrt(99))*6 + (-5*sqrt(88)/sqrt(8) - sqrt(11)). -18*sqrt(11) Simplify -4 + -3*-1*sqrt(5)*4. -4 + 12*sqrt(5) Simplify -5*(sqrt(325) + 1 + sqrt(325) + sqrt(325))**2*5. -73150 - 750*sqrt(13) Simplify -4*(sqrt(125) + 1)*4 + 4. -80*sqrt(5) - 12 Simplify ((sqrt(5) - -6*sqrt(25)/sqrt(5)) + -3)**2. -42*sqrt(5) + 254 Simplify -6*sqrt(48). -24*sqrt(3) Simplify -2*(sqrt(304))**2 + sqrt(19) + sqrt(114)/(sqrt(216) + sqrt(6)). -608 + 8*sqrt(19)/7 Simplify 2 + (-4*sqrt(17)*1)**2. 274 Simplify (-2 + 2 + 4*sqrt(300))**2. 4800 Simplify (sqrt(3) + 1 + sqrt(3) + -2 + 3)**2. 8*sqrt(3) + 16 Simplify sqrt(17)*4*5 + (sqrt(17)*4 + sqrt(17))*-2. 10*sqrt(17) Simplify 6*(2*sqrt(180) + 1)**2. 144*sqrt(5) + 4326 Simplify (sqrt(48)/(sqrt(16)/sqrt(4)))/(sqrt(18)/sqrt(27)). 3*sqrt(2) Simplify (sqrt(56)/sqrt(7))**2 - sqrt(16)/sqrt(2). -2*sqrt(2) + 8 Simplify sqrt(70)/(sqrt(40)/(sqrt(12)/sqrt(3))). sqrt(7) Simplify (sqrt(12)*1 - sqrt(3)) + sqrt(3) - sqrt(12)/sqrt(4)*4. -2*sqrt(3) Simplify sqrt(3072)*-1. -32*sqrt(3) Simplify (-2*sqrt(99))/sqrt(9) + -1*sqrt(539). -9*sqrt(11) Simplify (((sqrt(567) + -1 + sqrt(567) + sqrt(567))*2 - (sqrt(567) + (0 + sqrt(567))*2)) + 5)**2. 162*sqrt(7) + 5112 Simplify 1 + ((sqrt(1053) + 1*sqrt(1053))**2 + sqrt(13) - (sqrt(13) - (-4 + sqrt(637)))). 7*sqrt(13) + 4209 Simplify 1*(2 + sqrt(475)*-1). -5*sqrt(19) + 2 Simplify (((sqrt(150)*1)/sqrt(5))/(2*1*sqrt(6)))**2. 5/4 Simplify ((sqrt(1377) + -1 - sqrt(1377))*2)**2*1. 4 Simplify (sqrt(57)/(sqrt(9)/(sqrt(3) + sqrt(12)/sqrt(4)) + sqrt(3)))**2. 76/9 Simplify (sqrt(1210) - sqrt(1210)*-2 - sqrt(10))/((sqrt(50)*-1)/sqrt(10)). -32*sqrt(2) Simplify 0 + ((sqrt(45)*-3)/sqrt(9))**2. 45 Simplify (4*sqrt(847) - sqrt(847) - sqrt(847))*-1. -22*sqrt(7) Simplify (2*sqrt(171)*5)/sqrt(9). 10*sqrt(19) Simplify (sqrt(1100)*-2)**2 + 0 + -3*(sqrt(1100) + 1 - sqrt(1100))**2. 4397 Simplify 1 + (sqrt(11) - (sqrt(11)*-1 + -2))*5*6. 61 + 60*sqrt(11) Simplify 1*sqrt(19)*-6 + (4*sqrt(475))**2. -6*sqrt(19) + 7600 Simplify (sqrt(2) + (sqrt(2) + -1 + sqrt(2) + 1 - sqrt(2)) + 3)**2. 12*sqrt(2) + 17 Simplify 0 + sqrt(98) + 0. 7*sqrt(2) Simplify -2*4*sqrt(40)/sqrt(2). -16*sqrt(5) Simplify 3*(sqrt(2448) + -3 - sqrt(2448))**2. 27 Simplify ((-2*sqrt(136) - sqrt(136))*-5)/(sqrt(392)*3 + sqrt(8)). 15*sqrt(17)/22 Simplify sqrt(162) + 0 + 6*sqrt(10)/sqrt(5). 15*sqrt(2) Simplify 0 + sqrt(300)*-2 + -3 + sqrt(3) + ((sqrt(243)*2)**2 - sqrt(243)). -28*sqrt(3) + 969 Simplify sqrt(15)/(sqrt(125) - (sqrt(125) + sqrt(125) + -2*sqrt(125))). sqrt(3)/5 Simplify 2*-1*sqrt(425). -10*sqrt(17) Simplify (-4 + sqrt(2)*2)*-2. -4*sqrt(2) + 8 Simplify (sqrt(15)/(sqrt(3)*3))**2 + 5. 50/9 Simplify 1 + 6*(1*sqrt(612) + 5). 31 + 36*sqrt(17) Simplify sqrt(1539) + 0 + sqrt(1539) - sqrt(1539) - (sqrt(19) + (-2 + (sqrt(19) - (sqrt(19) + sqrt(931))))**2). -935 - 20*sqrt(19) Simplify (-5 + sqrt(8) - -2*(0 + sqrt(2))**2) + -5. -6 + 2*sqrt(2) Simplify (0 + sqrt(300) - sqrt(6)/(sqrt(4)/sqrt(2))) + -3. -3 + 9*sqrt(3) Simplify -5*(sqrt(363) - (-6*sqrt(363)*2)**2). -55*sqrt(3) + 261360 Simplify (sqrt(1800)*2)/(sqrt(9) + sqrt(648)/sqrt(2)). 20*sqrt(2)/7 Simplify (sqrt(350)*2)/(sqrt(28) + sqrt(28) + sqrt(112)/sqrt(4)). 5*sqrt(2)/3 Simplify sqrt(162)/sqrt(9) - (sqrt(2) + 2)*-2. 4 + 5*sqrt(2) Simplify (-4*sqrt(450) - sqrt(18))**2. 7938 Simplify (sqrt(3) - (sqrt(12) + (sqrt(24)/sqrt(2))**2))*6. -72 - 6*sqrt(3) Simplify 3*(sqrt(448) + (sqrt(448) + 1 + -3)**2). -72*sqrt(7) + 1356 Simplify 3 + ((sqrt(75)/sqrt(5))/sqrt(5) - sqrt(54)/sqrt(2)). -2*sqrt(3) + 3 Simplify (sqrt(605)*-1 - sqrt(605) - (sqrt(75)/sqrt(5))/sqrt(3))**2. 2645 Simplify 0 + 3*sqrt(3)*-2. -6*sqrt(3) Simplify (sqrt(121)*-1*3)/sqrt(11). -3*sqrt(11) Simplify sqrt(19) + -2 + -1 - (sqrt(684) + -1). -5*sqrt(19) - 2 Simplify sqrt(2176)/sqrt(2) - sqrt(2057)*2. -14*sqrt(17) Simplify ((1 + sqrt(98))*-6)**2. 504*sqrt(2) + 3564 Simplify sqrt(9)/(sqrt(21)/sqrt(7)*4). sqrt(3)/4 Simplify 5*(sqrt(2) - (2*sqrt(2)*2)**2). -160 + 5*sqrt(2) Simplify sqrt(78)/(sqrt(48)/sqrt(8) + sqrt(6)) + (5*sqrt(78))/sqrt(6). 11*sqrt(13)/2 Simplify -5*-3*sqrt(208)/sqrt(4). 30*sqrt(13) Simplify (sqrt(76) - ((-2 + -2*sqrt(76))**2 - sqrt(76)))*-1. 12*sqrt(19) + 308 Simplify sqrt(30)/(sqrt(10)*4 + sqrt(10)) - (2*sqrt(192))**2. -768 + sqrt(3)/5 Simplify (sqrt(19) - (4 + sqrt(304) + sqrt(19)) - (sqrt(19) + sqrt(190)/(sqrt(10)*-2 + sqrt(10)) - sqrt(19)))**2*3. 72*sqrt(19) + 561 Simplify (sqrt(300)/sqrt(6)*-2 + 4)**2. -80*sqrt(2) + 216 Simplify (4 + ((0 + sqrt(3) - sqrt(3))*5 - sqrt(3)))**2. -8*sqrt(3) + 19 Simplify (-1 + sqrt(4400) - (sqrt(176)*2)/sqrt(4))**2*3. -96*sqrt(11) + 8451 Simplify ((sqrt(3) + sqrt(9)/sqrt(3))*-1*4)**2. 192 Simplify (sqrt(176)/sqrt(4))/sqrt(4) + -1. -1 + sqrt(11) Simplify (sqrt(6)/(-2*sqrt(8)))**2. 3/16 Simplify ((2*sqrt(2744))/(sqrt(288)*-2))**2. 343/36 Simplify (sqrt(5) + sqrt(5) + -1 + sqrt(45))**2 - sqrt(50)/(sqrt(60)/sqrt(6)). -11*sqrt(5) + 126 Simplify (-4*sqrt(84)*-1)/(sqrt(12) + sqrt(108)/(sqrt(54)/sqrt(6))). 2*sqrt(7) Simplify -6*((sqrt(102) - -2*sqrt(102))/sqrt(6) - (-1 + sqrt(17) + -1))**2. -432 - 48*sqrt(17) Simplify (((sqrt(68) + (sqrt(68) - (-1*sqrt(68) + sqrt(68))) - sqrt(68))*5)/(sqrt(16)*5))**2. 17/4 Simplify (sqrt(204)/sqrt(3) + sqrt(51)/sqrt(3) + -2)*-1. -3*sqrt(17) + 2 Simplify -1*(sqrt(95) + (sqrt(95) + (sqrt(95) - -2*sqrt(95)) - sqrt(95)) + sqrt(95))/sqrt(5). -5*sqrt(19) Simplify ((sqrt(833)*1)**2 - sqrt(833)) + sqrt(68)/sqrt(400). -69*sqrt(17)/10 + 833 Simplify 2 + 4 + sqrt(108) + 0. 6 + 6*sqrt(3) Simplify (sqrt(5) + 1 + 1)**2*-4. -36 - 16*sqrt(5) Simplify 4*(sqrt(1539) + -3 - sqrt(1539)). -12 Simplify (sqrt(17) - ((3*sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187))/sqrt(11) - sqrt(17)))**2 + -3. 269 Simplify sqrt(6)/(3*sqrt(3)*-1)*-1. sqrt(2)/3 Simplify (-1*-4*sqrt(153))/sqrt(9). 4*sqrt(17) Simplify ((sqrt(66) - (sqrt(66)*2 + sqrt(66))*-2)/((sqrt(6) + sqrt(24)/sqrt(4))*-2))**2. 539/16 Simplify (-4*(sqrt(98) + 1 - sqrt(98)) + -3 + sqrt(98) + -1)**2. -112*sqrt(2) + 162 Simplify (-2 + sqrt(1700)*1)**2. -40*sqrt(17) + 1704 Simplify (sqrt(104) + (sqrt(104) - 2*sqrt(104))*-5)/(sqrt(8) - sqrt(256)/sqrt(2) - sqrt(8) - sqrt(8)). -6*sqrt(13)/5 Simplify (0 + sqrt(7) + 3 - sqrt(28)/(sqrt(24)/sqrt(6)))**2. 9 Simplify (-1 + -2*sqrt(14)/(sqrt(7) + sqrt(7) + sqrt(175)))**2. 4*sqrt(2)/7 + 57/49 Simplify (-4*(-2*sqrt(95) + sqrt(95) + sqrt(95)))/(-2*sqrt(5)*-4). 0 Simplify ((5 + (sqrt(3) - sqrt(12)/sqrt(4)) - (2*sqrt(147) - sqrt(3) - sqrt(3)))*6)**2. -4320*sqrt(3) + 16452 Simplify sqrt(6)/(4*sqrt(108)) + -4. -4 + sqrt(2)/24 Simplify -2*3*(sqrt(91)/(sqrt(7)*-5))**2. -78/25 Simplify (sqrt(200) - (sqrt(200) + -3) - (sqrt(22)/sqrt(704) - sqrt(2)))**2. 21*sqrt(2)/4 + 337/32 Simplify sqrt(6)/(sqrt(18)*-1) + (sqrt(108)/sqrt(3))/sqrt(3). 5*sqrt(3)/3 Simplify ((1 + sqrt(176))*-4 - 5*(0 + sqrt(176)))**2. 288*sqrt(11) + 14272 Simplify sqrt(3) + sqrt(3) + sqrt(75)*-2 - (-3 + sqrt(9)/sqrt(3) + sqrt(3)). -10*sqrt(3) + 3 Simplify sqrt(1573) + -2 + 4. 2 + 11*sqrt(13) Simplify 1 + (sqrt(85) + 1*sqrt(85) - sqrt(85))/sqrt(5) + (-1 + sqrt(68) + sqrt(2448) + 1)**2. sqrt(17) + 3333 Simplify (sqrt(5)*2 + 3)**2 + (sqrt(105)/sqrt(7))/sqrt(3). 29 + 13*sqrt(5) Simplify (sqrt(76)/(sqrt(20)/sqrt(5)*6 - sqrt(4)))**2. 19/25 Simplify ((sqrt(672) + (sqrt(672) + 1*sqrt(672) - sqrt(672) - sqrt(672) - sqrt(672)) + sqrt(672))/sqrt(12))/(6*sqrt(8)*-1). -sqrt(7)/6 Simplify 4*(sqrt(432) + 1 + 0). 4 + 48*sqrt(3) Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) - sqrt(156)*1)*2))/(sqrt(96)/(sqrt(8)*3)). 0 Simplify sqrt(153)*1 + (sqrt(612) + -1*sqrt(612) - sqrt(17)) + ((sqrt(272) + sqrt(272)*-1)*-5)**2. 2*sqrt(17) Simplify 5*(sqrt(3) - (sqrt(3)*-1 + sqrt(3)) - sqrt(3)) - (1*sqrt(30
{ "pile_set_name": "DM Mathematics" }
Let p be 136*(5 + -4) - -2. Let v = 228 - p. Calculate the highest common factor of 10 and v. 10 Let k = -135 - -156. Let m(f) = -17*f**3 + 4*f**2 + 3*f + 1. Let a be m(-2). Calculate the highest common factor of a and k. 21 Let g(c) = -c - 2*c + 8*c. Let k be g(4). Calculate the greatest common factor of 5 and k. 5 Let p = 32 - -25. Suppose 2*i = 75 + p. Calculate the highest common divisor of 22 and i. 22 Suppose 0 = -10*z - 139 + 379. Suppose -41*r = -36*r - 600. What is the highest common factor of z and r? 24 Let w(l) = 5*l - 65. Let a be w(15). What is the highest common factor of a and 30? 10 Suppose -5*y + 36 - 1 = 0. Let l = 19 + -12. What is the greatest common divisor of y and l? 7 Let z(f) = -f**2 - 19*f - 10. Let q be z(-18). What is the highest common factor of 232 and q? 8 Let v = -1554 - -1782. Calculate the greatest common factor of v and 108. 12 Suppose 0 = -29*a + 76*a - 940. What is the highest common factor of a and 24? 4 Let a(j) = -8*j + 3. Let q = 12 + -15. Let t be a(q). Let o = -31 + 40. What is the greatest common divisor of o and t? 9 Let t = 123 + -106. Let c = 75 - -44. Calculate the greatest common divisor of c and t. 17 Let g be -2*1/2*-9. Suppose 4*p - 2*x - 34 = -12, -3*x - 9 = 0. Suppose -y = -5*y + p. Calculate the greatest common divisor of g and y. 1 Suppose -7*v + 2*v = -3*h - 95, -2*v + 37 = -h. Let g(n) = -n**2 + 21*n - 26. Let m be g(v). What is the greatest common factor of 72 and m? 18 Suppose 0 = 35*b - 5604 - 276. Calculate the highest common divisor of 588 and b. 84 Let m be 49 + 1 - 0/64. Calculate the highest common factor of 1150 and m. 50 Let h(c) = c**3 + 5*c**2 + c + 8. Let y be h(-6). Let l = y - -64. Let j = 13 + -7. What is the highest common factor of j and l? 6 Let d be -3 + 12/2 - -6. Suppose -d*v + 12*v = 3. What is the highest common factor of v and 11? 1 Suppose -5*d + 2 + 13 = 0. Let w be (-1)/d - 8/(-6). Let n(v) = 10*v**3 - v**2 + 3*v - 2. Let o be n(w). What is the highest common divisor of 5 and o? 5 Let k = -227 + 238. Calculate the highest common divisor of k and 55. 11 Suppose 5*p - 9*p = -8. Let q = p + 4. Calculate the greatest common divisor of q and 15. 3 Suppose 6 + 116 = 4*f + 2*s, s - 145 = -5*f. Suppose 0 = -2*y - 607 + 621. What is the highest common factor of f and y? 7 Let d = -22 + 47. Let p be ((-19)/3)/(1/6). Let a = -28 - p. What is the highest common factor of a and d? 5 Let s be 215/15 + 2/3. Let r = s - 10. Suppose -280 = -5*u + r*i, 4*u + 0*i - 252 = -3*i. What is the greatest common divisor of 12 and u? 12 Let z = 72 - -68. What is the greatest common factor of 60 and z? 20 Let j be 0 + 0 + -1 - -271. Let p(u) = 32*u**2 - 314*u - 316. Let g be p(-1). Calculate the greatest common factor of j and g. 30 Let m = 166 - 156. Suppose c - 2*b = 2*c - 21, c - 5*b - 35 = 0. What is the highest common divisor of m and c? 5 Let h(k) = k**2 - 23*k + 175. Let c be h(18). Calculate the greatest common divisor of 935 and c. 85 Suppose -272 = 47*p - 15312. Calculate the highest common divisor of 10 and p. 10 Suppose 0 = -4*f + 3*g + 85, 0 = 2*f - 4*g + 5 - 35. Calculate the highest common divisor of f and 35. 5 Let x = 139 + -130. Let q be (-6)/(-15) - (-228)/(-20). Let n = q + 47. What is the highest common divisor of x and n? 9 Let p(l) = 3*l**3 + 4*l**2 - 3*l - 1. Let j be p(4). What is the greatest common factor of j and 27? 27 Let s(l) = 7 + 9 - l - 12 - 5*l. Let y be s(-1). Let x(k) = -4*k + 6. Let g be x(-6). What is the greatest common factor of y and g? 10 Suppose -4*l + 166 = -3*y, -y + 5*l + 14 = 62. Suppose -z - 48 = -5*z. Let f be z/(-42) - y/7. What is the highest common factor of f and 40? 8 Let w be ((-13)/(-4))/(2/(-16)). Let l = 27 + w. Let m = 6 - -2. Calculate the greatest common factor of l and m. 1 Suppose 0 = -5*n - 24 + 94. Let v = 5496 - 5342. What is the highest common factor of v and n? 14 Let d(x) = 4*x - 9. Suppose -5*r = -q + 24, -4*q - 5*r + 30 = q. Let z be d(q). Calculate the greatest common factor of 9 and z. 9 Let o = 1 + 33. Let z be ((-4)/6)/((-67)/3417). Calculate the highest common factor of o and z. 34 Let p(q) = -6*q**2 + 20*q**3 + 5*q**2 - 24 + 22 + 3*q. Let y be p(1). Calculate the highest common factor of 180 and y. 20 Suppose 3*m + 9 = -2*v, 0 = v - 4*m + 2*m - 6. Let u be (-3)/1 + v/(-2). Let z be ((-1)/u)/(6/36). Calculate the greatest common divisor of z and 4. 2 Let k(d) = 12 - 5 + 64*d - 66*d + d**3 - 2*d**2. Let w be k(3). What is the greatest common divisor of w and 10? 10 Suppose -639 = -i + k, -3*i + 5*k + 1095 = -814. Suppose 0 = -n + 3*c + 314, -2*n + i = 2*c - 5*c. Calculate the highest common factor of 47 and n. 47 Let r = 10 - 10. Suppose r = -c - 3*c + 76. What is the highest common divisor of 76 and c? 19 Suppose -4*i + 564 = g + 212, -3*g = 3*i - 264. Let o = 5 + -2. Let a be (13 + -1)*2/o. What is the greatest common divisor of i and a? 8 Let w be (6/18)/(2/12). Suppose 1 = -h - 5*y, -w*h - y = y + 2. Let q be 6 + -2 + h - -25. What is the greatest common factor of q and 4? 4 Suppose y = -s + 99, -5*s - y = -6*y - 545. Suppose 5*i + h - 4*h - s = 0, 0 = 2*i - 3*h - 38. What is the highest common factor of 44 and i? 22 Let g be (80/(-2))/4*1. Let f be (8/10)/(2/g). Let s be 12*(-3 + 1)/f. Calculate the greatest common factor of 42 and s. 6 Let x be (120/100)/(2/5). Let q be 3 + 11/1 + x. Suppose -357 = -3*k - 0*k. What is the greatest common divisor of q and k? 17 Suppose 97*g = 94*g + 1416. What is the highest common divisor of 59 and g? 59 Suppose 3*x = -3*m + 45, -7*x + 6*x + m + 5 = 0. Calculate the greatest common factor of 15 and x. 5 Let x = -2187 + 2196. Calculate the highest common factor of 30 and x. 3 Let i(p) = -10*p - 3. Let o be i(-3). Let m = 82 - 21. Let q = o + m. What is the highest common factor of 11 and q? 11 Let o = 239 - 167. Calculate the highest common divisor of o and 9. 9 Let i be ((-3)/(1 - 4))/((-3)/(-24)). Calculate the highest common factor of 122 and i. 2 Let c(x) = -41*x - 36. Let b be c(-1). Calculate the highest common divisor of b and 565. 5 Let x(c) = -c**3 - 3*c**2 + c - 3. Let m be x(-4). Let l be (m + 1)*22/4. What is the highest common factor of 22 and l? 11 Suppose -b + 20 = 3. Let x be (-170)/15*12/(-8). Calculate the greatest common divisor of b and x. 17 Let d = 651 - -39. What is the highest common factor of 30 and d? 30 Suppose 52 = 3*t - 377. Suppose 7*g - 5*g - 26 = 0. What is the highest common factor of t and g? 13 Suppose -265*q + 110*q + 4960 = 0. Let w be (-194)/(-4) + 1/(-2). What is the highest common factor of q and w? 16 Let p(d) = d**2 + 5*d - 3. Let m be p(-10). Let k = m - -17. Calculate the greatest common factor of k and 16. 16 Let m(t) = 18 - t + t**2 + 7*t - 11*t + 2*t**2. Let a be m(5). What is the highest common factor of a and 17? 17 Suppose -4*l - 13 + 61 = 0. Let v = -9 + l. Let g be 6*v - (1 - 0). What is the highest common factor of 17 and g? 17 Let j = 518 - 506. What is the greatest common factor of 108 and j? 12 Suppose 8*w - 88 = -14*w. What is the greatest common factor of 32 and w? 4 Let u = 220 - 163. Let x = 1 - 3. Let b be (-1)/(-2)*x*-19. Calculate the greatest common factor of u and b. 19 Suppose 2*c - 2 = -0. Suppose -i + 0*i = -3*k + 32, 3*i + 5*k = -26. Let u be (i/34)/(1/(-6)). Calculate the greatest common divisor of c and u. 1 Let b(k) = -4*k - 6. Suppose 3*c - c + 10 = 0. Let y be b(c). Suppose -3*w - 19 = -u, 2*u - 13 = w + 5. Calculate the greatest common divisor of u and y. 7 Let n be (-11)/((8/6)/2 - 1). Suppose 2*t = 3*t - 363. What is the greatest common factor of n and t? 33 Suppose -k - 1 = -0*k, 3*o - 3*k - 135 = 0. Calculate the greatest common divisor of 66 and o. 22 Suppose -37*l + 16992 = -13*l. Calculate the highest common divisor of 12 and l. 12 Let n = -2143 - -3007. Calculate the highest common factor of n and 12. 12 Let z = -7156 - -7166. Let m(y) = -y**3 + y + 8. Let u be m(0). Let v = 62 + u. Calculate the highest common divisor of v and z. 10 Suppose 0 = -7*l + 8*l - 10. Let j = l - -30. Calculate the highest common divisor of j and 20. 20 Let v be 37/7 + 30/(-105). Let c be 3*7/(-21) - -6. What is the highest common divisor of c and v? 5 Suppose -2*u - 95 = -5*k, 4*k + 0*k - 88 = 4*u. Calculate
{ "pile_set_name": "DM Mathematics" }
1 w. 1/51 What is prob of picking 1 y and 1 p when two letters picked without replacement from dyhkpby? 2/21 Three letters picked without replacement from {a: 2, h: 2, i: 6, v: 3, r: 5}. Give prob of picking 1 v and 2 i. 15/272 Four letters picked without replacement from gcofpggogcgzfcggg. Give prob of picking 1 z, 1 g, and 2 c. 6/595 What is prob of picking 1 z, 1 c, and 1 n when three letters picked without replacement from nncnnzmzzzcnnnn? 64/455 Calculate prob of picking 4 k when four letters picked without replacement from khhkhkkhhkhh. 1/99 Calculate prob of picking 1 t, 1 r, and 1 p when three letters picked without replacement from {p: 1, r: 1, t: 1, a: 3, d: 1}. 1/35 Two letters picked without replacement from ceh. Give prob of picking 1 h and 1 e. 1/3 Two letters picked without replacement from wwcbwcw. Give prob of picking 1 w and 1 b. 4/21 Two letters picked without replacement from {f: 1, o: 3, l: 6, d: 4}. Give prob of picking 2 o. 3/91 What is prob of picking 4 y when four letters picked without replacement from {y: 6, r: 3, f: 3, n: 5, i: 1}? 1/204 Four letters picked without replacement from {q: 4, s: 6}. What is prob of picking 3 s and 1 q? 8/21 What is prob of picking 3 h when three letters picked without replacement from {w: 5, h: 3}? 1/56 Three letters picked without replacement from tlletlelm. Give prob of picking 3 l. 1/21 Three letters picked without replacement from {n: 8, j: 1, s: 3, b: 1, z: 6}. What is prob of picking 1 j and 2 z? 5/323 What is prob of picking 1 r and 1 f when two letters picked without replacement from {f: 1, p: 3, r: 3}? 1/7 Four letters picked without replacement from omoemoeoemoe. Give prob of picking 1 e and 3 o. 8/99 What is prob of picking 2 n and 2 p when four letters picked without replacement from {n: 4, j: 2, i: 4, p: 3, y: 3}? 9/910 Two letters picked without replacement from vhkkvkhk. Give prob of picking 1 v and 1 h. 1/7 Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jnnbnbnlbnb. 1/11 Calculate prob of picking 1 q, 1 x, and 1 c when three letters picked without replacement from {c: 1, q: 10, v: 1, x: 5}. 5/68 Three letters picked without replacement from {j: 1, b: 1, n: 2, x: 2, i: 1}. What is prob of picking 1 i, 1 n, and 1 b? 2/35 Three letters picked without replacement from tthtttttthtttthhhtt. Give prob of picking 2 t and 1 h. 455/969 Three letters picked without replacement from drrhdrdhrrrdd. Give prob of picking 1 d and 2 r. 75/286 Two letters picked without replacement from rrrrrcanrracrcnn. Give prob of picking 2 a. 1/120 What is prob of picking 2 j when two letters picked without replacement from pbpjrppbjb? 1/45 Three letters picked without replacement from nnnononoonnonnnoonn. Give prob of picking 3 n. 220/969 Two letters picked without replacement from zzzztzzazatazzizaztz. What is prob of picking 2 z? 33/95 What is prob of picking 1 f, 1 e, and 1 y when three letters picked without replacement from foefyytbfoyff? 15/286 Calculate prob of picking 2 q and 2 c when four letters picked without replacement from {c: 3, q: 7}. 3/10 What is prob of picking 2 t and 2 d when four letters picked without replacement from tdtdt? 3/5 Two letters picked without replacement from {l: 7, d: 4, f: 7}. What is prob of picking 1 l and 1 f? 49/153 Four letters picked without replacement from {s: 5, b: 2, p: 8, t: 2}. What is prob of picking 1 t, 2 b, and 1 p? 4/595 Three letters picked without replacement from {w: 6, z: 4}. Give prob of picking 3 z. 1/30 Calculate prob of picking 2 n when two letters picked without replacement from avaaavnnnnaaannana. 7/51 Four letters picked without replacement from {e: 2, g: 1, b: 4, u: 1, i: 2, r: 2}. What is prob of picking 1 i, 1 b, 1 e, and 1 g? 16/495 Two letters picked without replacement from jzkkkzhkzjukk. Give prob of picking 2 k. 5/26 Three letters picked without replacement from {v: 4, b: 3, d: 5}. What is prob of picking 3 v? 1/55 Three letters picked without replacement from sxsxsllssxxxxssx. Give prob of picking 1 s and 2 x. 21/80 Calculate prob of picking 2 g when two letters picked without replacement from uhouuoooouuhuwgugu. 1/153 Two letters picked without replacement from {r: 3, e: 5, i: 2}. Give prob of picking 1 i and 1 r. 2/15 Three letters picked without replacement from izhuhdhddurrduddd. Give prob of picking 1 z and 2 h. 3/680 Three letters picked without replacement from {a: 2, i: 1, j: 2, h: 1, m: 1, u: 1}. Give prob of picking 2 a and 1 j. 1/28 Two letters picked without replacement from mddmdndmmmnd. What is prob of picking 2 m? 5/33 Three letters picked without replacement from wdyjyyeyxyxyyxdyyw. What is prob of picking 1 x, 1 w, and 1 j? 1/136 What is prob of picking 1 n and 1 s when two letters picked without replacement from fnsnnennsfffnnfffff? 14/171 Two letters picked without replacement from {k: 3, h: 4, y: 1, u: 1, x: 4, b: 2}. What is prob of picking 1 h and 1 k? 4/35 Three letters picked without replacement from ehhhhhhhhhhhehhheh. What is prob of picking 3 h? 455/816 Two letters picked without replacement from pxxxxsppxxxspipsxs. What is prob of picking 2 p? 10/153 What is prob of picking 3 j when three letters picked without replacement from jjuju? 1/10 Three letters picked without replacement from {x: 1, l: 8, i: 1, c: 9}. What is prob of picking 3 l? 56/969 Four letters picked without replacement from {y: 4, p: 15}. What is prob of picking 1 y and 3 p? 455/969 What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 2, x: 1, d: 1, s: 3}? 2/21 What is prob of picking 1 a and 2 u when three letters picked without replacement from {u: 7, a: 5, p: 1}? 105/286 Two letters picked without replacement from {i: 2, j: 1, z: 1, y: 3}. Give prob of picking 1 z and 1 i. 2/21 Two letters picked without replacement from {w: 1, r: 6, t: 12}. What is prob of picking 1 r and 1 t? 8/19 Three letters picked without replacement from {e: 1, v: 18}. What is prob of picking 3 v? 16/19 Two letters picked without replacement from {x: 7, s: 4, u: 5}. Give prob of picking 1 u and 1 x. 7/24 Calculate prob of picking 2 r and 1 h when three letters picked without replacement from rhrhhrhrrrrhrrrhrr. 33/68 Four letters picked without replacement from {z: 7, u: 1, y: 3, i: 2, c: 5}. What is prob of picking 1 z, 1 u, and 2 i? 7/3060 What is prob of picking 1 h and 1 u when two letters picked without replacement from upcchhruhuukucuupu? 8/51 What is prob of picking 2 j when two letters picked without replacement from {c: 2, j: 4}? 2/5 Four letters picked without replacement from {a: 3, d: 5, r: 1, c: 7}. What is prob of picking 1 d and 3 r? 0 What is prob of picking 1 t and 2 g when three letters picked without replacement from jjtjtjttjggjjj? 1/91 Two letters picked without replacement from {u: 1, x: 1, h: 1}. Give prob of picking 1 x and 1 h. 1/3 Calculate prob of picking 2 z, 1 o, and 1 i when four letters picked without replacement from {z: 3, i: 7, o: 2}. 14/165 Two letters picked without replacement from {e: 2, q: 1, m: 1, a: 3}. What is prob of picking 1 m and 1 e? 2/21 Three letters picked without replacement from huhuhuj. What is prob of picking 1 u, 1 j, and 1 h? 9/35 Two letters picked without replacement from khhhkhkhhhh. Give prob of picking 2 k. 3/55 What is prob of picking 2 r and 2 u when four letters picked without replacement from {m: 1, u: 6, r: 8, d: 3}? 7/51 Calculate prob of picking 2 p when two letters picked without replacement from {o: 7, b: 2, n: 3, w: 1, p: 4, f: 1}. 2/51 Calculate prob of picking 1 v and 2 f when three letters picked without replacement from mfmfffmv. 3/28 Three letters picked without replacement from {a: 2, d: 1, f: 1, v: 3}. What is prob of picking 1 d, 1 a, and 1 v? 6/35 Calculate prob of picking 1 k and 2 q when three letters picked without replacement from tttqqqtppk. 1/40 Three letters picked without replacement from rzzz. Give prob of picking 3 z. 1/4 Four letters picked without replacement from {p: 1, x: 2, d: 5, v: 1, h: 2, e: 2}. What is prob of picking 2 h, 1 d, and 1 e? 2/143 What is prob of picking 2 s and 2 m when four letters picked without replacement from rsssmmsrsrrssrs? 4/195 What is prob of picking 1 i and
{ "pile_set_name": "DM Mathematics" }
to -3 in -1, q, 0.5? -1 Let m = 0.26 - 0.16. What is the closest to m in 1/7, -4, -1/2? 1/7 Let q = 0.85 - 0.15. Let y = q + 2.3. Let l = 2.8 - y. Which is the nearest to 2? (a) l (b) -3 (c) 5 a Let i = -15.9 - -16.9. Which is the closest to i? (a) -2/3 (b) -0.5 (c) -0.1 c Let j = 14 + -18. What is the nearest to 2/7 in -3, -0.4, j? -0.4 Let o = -0.43 - 0.07. What is the nearest to -0.1 in -2, o, -3? o Let r be -2*(48/(-15) + 3). Which is the nearest to -1? (a) 4 (b) r (c) 1 b Let h = 11/14 - 2/7. Let y(q) be the third derivative of -q**4/24 + 2*q**3/3 - 3*q**2. Let s be y(5). What is the closest to h in -0.4, s, 0.3? 0.3 Let v = 5 + -40. Let r = v + 33. Let g be (8/(-3))/(-2)*3. What is the nearest to 2 in g, -2/11, r? g Let z be 2/4*4 - -1. Let q(d) = d**3 + 5*d**2 + d + 7. Let u be q(-5). Suppose h - u = -0. What is the nearest to -1 in h, z, -1/4? -1/4 Let o = -1.7 + 1.6. Which is the closest to 0.13? (a) o (b) 2/7 (c) -1 b Let t = 2 + -5. Let m = 1.4 + -1. Let f = 1/121 + 21/121. Which is the nearest to f? (a) -5 (b) t (c) m c Let n = -271/924 + 1/132. Let w(y) = y**3 + y**2 - y - 2. Let q be w(2). Suppose -4*l - 4 = 5*m - 18, 4*m = q. What is the nearest to l in n, -0.3, -2? n Let g be (-10)/12 + (-6)/(-9). What is the closest to -0.1 in -0.1, 4, g? -0.1 Let n = 251 - 252.39. Let s = -1.5 - n. Let c = 0.01 + s. What is the nearest to c in -2/21, -1, -5/3? -2/21 Let f = 0.04 - 5.04. Let x = 8 - 5. Let s = x + -1. What is the closest to s in f, -4, -0.1? -0.1 Let l = -24 + 20.3. Let n = -1.9 - l. Let d = -0.2 - n. Which is the closest to 1? (a) 2 (b) d (c) 2/13 c Let b = -2 + 5. Let m = b + -2.6. Let c = -3 + 4. What is the nearest to c in 1/2, 4, m? 1/2 Suppose 4*n - 2*n - 2 = 0. Let h be 2*n*(-10)/(-40). Which is the closest to h? (a) 3/7 (b) 5 (c) -1/4 a Suppose -4*m + 4*d + 39 - 7 = 0, -3*m = -4*d - 29. Which is the closest to 2/3? (a) m (b) -1/2 (c) 4 b Let o = 0.1 - 0.4. Let l be (0 + -1)*-1*-1. What is the closest to l in o, 0.4, 3? o Suppose -k - 4 = -6. Let y be k + (-1)/(-5)*-8. What is the closest to 0.1 in y, -1, 0? 0 Let i = -9.5 + 11. Let h = i - 1.9. Let g be 4/7*2/(-8). What is the closest to -0.1 in -0.2, g, h? g Let u = -321 + 321. Let t = -3 - -1. Let v = -0.24 - 0.06. Which is the closest to 2? (a) t (b) u (c) v b Let n = -3 - -5. Suppose -8 = 9*j - 5*j. Let r(d) = -2*d**2 - 3*d - 1. Let k be r(-2). Which is the closest to n? (a) -0.5 (b) j (c) k a Suppose 0 = -d + 5*d - 16. Let p = 0.9 + -0.8. Which is the nearest to p? (a) d (b) 2/3 (c) -4 b Let i = -12.2 + 12. Which is the closest to 1? (a) 1 (b) i (c) -1/4 a Let m = -1046/3 - -341. Let w = m - -106/15. What is the nearest to w in 4, 2/5, 3? 2/5 Let r = 183/4 - 46. What is the nearest to 1 in -4, -0.5, r? r Let q be (-1)/5 + 833/(-210) + 4. Which is the closest to q? (a) 1/3 (b) -2/9 (c) 1 b Let b be 3/(-6)*0 - 4. What is the closest to 0 in 2/67, -0.2, b? 2/67 Let k = 18.2 - 20. Let q = k + 0.8. Suppose 0 = x - d + 2, -3*x - 4*d + 8 = -4*x. What is the closest to -2/7 in x, 0.4, q? x Let o = 3 - -1. Let k = -4.3 + o. Let j = k - -2.3. What is the closest to -1 in 0, 0.5, j? 0 Let t = -0.2 - 0.8. Let m = 93/5 - 19. What is the closest to m in t, 5, 0.1? 0.1 Suppose 4 = -2*j + j. Let p = -7 + 12. What is the nearest to 1 in 2/5, j, p? 2/5 Let n = 9236/19 - 486. Let x = -83 + 251/3. Let r = -8.6 + 9. What is the closest to 0.1 in x, n, r? n Let r be 4/(-3 + 4 + 1). Let y = 2 - r. What is the closest to -2 in -1, -2, y? -2 Let n = -1.4 - -0.4. Let q = -0.6 + 0.7. Suppose -2*i + 3*s = 13 + 7, i = -2*s + 4. Which is the nearest to q? (a) i (b) n (c) 0.5 c Let s = -2/103159 - 707354/1134749. Let i = -10/11 - s. Which is the nearest to i? (a) -3 (b) 2/3 (c) -0.5 c Let q = -4.05 + 0.05. Let d = -37.7 - -38. Which is the nearest to 1? (a) d (b) -0.5 (c) q a Let m = 8 + -12. Let b = -3 - m. What is the nearest to -2/5 in b, 1/8, -5? 1/8 Let w = 60 + -60.5. Let j = 7.7 + -9. Let b = j - -0.3. What is the closest to b in w, 1/3, -3? w Let g = 1.1 - 0.6. What is the nearest to 0 in 3, 2/7, g? 2/7 Let k = -1.795 - 0.225. Let z = k - -0.02. Which is the closest to z? (a) 5 (b) -3/5 (c) -0.2 b Let x = -0.01 + -0.27. Let q = x - -0.08. Which is the closest to 0? (a) 5/2 (b) -5 (c) q c Let i = -0.54 - 0.41. Let p = 0.05 - i. What is the closest to p in -5, -0.3, 0.5? 0.5 Let u = 0.13 + -0.13. Suppose 5*f + 10 = 5*a, 3 = 2*a - 0*a - f. What is the closest to a in -4, 4, u? u Let d be 4 + 68/(-20) + -1 + 0. Which is the closest to 2? (a) -0.1 (b) d (c) 4/5 c Let d = 3.3 + -3.3. What is the closest to d in -1/12, -4, 7/5? -1/12 Let j be (-4)/(-30) - (-1 - -1). Let l = -9.96 + 10. Let k = -0.46 - l. What is the closest to -2/7 in j, k, 5? k Let u = 0.8 - -0.2. Let y = -0.137 - -2.137. Which is the closest to u? (a) -5 (b) 0.3 (c) y b Let s = 0.31 + -0.3. Let t = -0.01 + s. Let h = -0.46 + 0.06. Which is the closest to t? (a) h (b) 4 (c) 5/2 a Let n = 0.2 + -0.1. Let s = -44 - -45. Which is the nearest to 1/3? (a) 5 (b) n (c) s b Let v = -13 + 55/4. Which is the nearest to 1? (a) 5 (b) v (c) 0.3 b Let p = 14 + -11. Let d be p*(-3 - (0 + -2)). Let r = -2.01 + 0.01. Which is the closest to 0.1? (a) r (b) d (c) 4 a Let n = 2 + 0. Let t be 12/27*(-1)/n. Which is the closest to 2? (a) t (b) -3 (c) 3 c Let x = -0.023 + 0.023. What is the nearest to x in -0.3, -15, -2/7? -2/7 Let w = 85/4 + -21. What is the closest to 0.2 in 1/5, 5, w? 1/5 Let c be (0 - (-1)/4) + 399/(-380). What is the nearest to -2 in c, 0.5, 2/7? c Let n = -127/3 + 42. Suppose -20*o + 16*o + 4 = 0. Let c = 5.01 + -0.01. What is the closest to n in c, 4, o? o Let f = -28 - -25.93. Let o = f - -0.07. What is the closest to 0.1 in 1/3, -1, o? 1/3 Let m be 4/6 - (2 + 0). Let f = 1 + m. Suppose 2*q = 5*p - 20, -5*q - 6 - 19 = 0. What is the nearest to 1/3 in -1/7, f, p? -1/7 Let z = -0.94 - -0.84. Let r = -0.8 + 0.3. Which is the nearest to z? (a) r (b) 0 (c) -2/21 c Let b = -59 + 64. Let l be 1/(-3) - (-5)/24. What is the closest to 0 in b, l, 1? l Let x = 14 + -69/5. Let p be (44/33)/(5/(-3)). Which is the nearest to x? (a) p (b) -1 (c) 1/7 c Let d = -3.7 - -4. Let v = d - 0.4. Let l(r) = -2*r - 10. Let s be l(-7). Which is the nearest to v? (a) s (b) 0 (c) 2 b Let x = 282 - 4792/17. Which is the nearest to -1? (a) 4/3 (b) x (c) 3/2 b Let p = -27 - -32.7. Let u = 1.3 - 7.3. Let x = p + u. Which is the closest to 0.1? (a) 1/3 (b) x (c) 1 a Suppose -2*f = 3 - 13. Let g be -1 - -7*(-2)/(-18). Which is the nearest to -0.1? (a) g (b) 2 (c) f a Let j = 7 + -12. Which is the nearest to -0.02? (a) 0.4 (b) 0.3 (c) j b Suppose 14 = 3*t - 1. Which is the nearest to -1/3? (a) t (b) -14 (c) -0.2 c Let y = 0.62 + 0.08. Let z = 1.7 - y. Let f = -0.2 + 0.4. Which is the closest to -1? (a) z (b) f (c) 2 b Let x = 27 - 24. Which is the closest to -2/7? (a) 4 (b) -5 (c) x c Let q = 11 + -3. Let i = 8.3 - q. Let d = 0.07 - -0.13. Which is the closest to d? (a) i (b) 4 (c) 3 a Let t = -62 + 61.5. Which is the nearest to t? (a) -2 (b) 4 (c) 0.2 c Let o = -7 - -2. Let u = 0.59 + -0.86. Let k = u - -1.27. What is the closest to k in o, 3, 0.3? 0.3 Let y be (0 + 15)*(-1)/3. Which is the nearest to -1/2? (a) y (b) -1/5 (c) 0 b Let l = -44 + 39. Which is the nearest to 1? (a) l (b) 3/4 (c) -0.3 b Let f = -179 + 117. Let j = f - -309/5. Which is the nearest to 0.1? (a) -2/11 (b) j (c) 4 a Let t be 0 + (0 - 12/(-30)). Let o = -3 + 2. What is the closest to o in -5, -0.4, t? -0.4 Let j = 5 + -4.9. Which is the closest to j? (a) -3 (b) 5 (c) -0.4 c Let j = 5 + -5.2. Let v = -0.01 + 2.01. What is the nearest to j in v, 3, -5? v Let l = 301 - 3911/13. What is the nearest to 0.1 in l, 3, 1? l Let n = 42.1 + -42. Which is the nearest to n? (a) -0.3 (b) 1/4 (c) 0.3 b Let t = -5 - -11. Let m be 3/(-6) + (-617)/t. Let n = 102 + m. Which is the nearest to 0.1? (a) n (b) -1 (c) -2 b Let x = 6 + -4.8. Let g = x + -0.7. Let h = -1 + 0.9. What is the closest to 1/2 in h, g, 4? g Let v = 0.13 - 4.13. What is the nearest to -1 in -1/4, 3, v? -1/4 Let h = 27 + -80/3. What is the nearest to h in 2/7, -4/3, -1? 2/7 Let c(w) = w**2 + 11*w + 15.
{ "pile_set_name": "DM Mathematics" }
260 Simplify (4*sqrt(143)*-1*4)/(sqrt(110)/(sqrt(40)/sqrt(4)) - sqrt(99)*1). 8*sqrt(13) Simplify (sqrt(28)/(sqrt(2) - 2*sqrt(2)*3))/(sqrt(28)/(sqrt(16)/(sqrt(4) - (2*sqrt(4) + sqrt(4))))). sqrt(2)/10 Simplify (sqrt(3888) + (sqrt(3888) - 6*-2*sqrt(3888))**2 - ((sqrt(3888) + 0 - sqrt(3888)) + 2)**2) + 0 + 0. 36*sqrt(3) + 657068 Simplify (-3*sqrt(475)*-2 - 4*(sqrt(475) + 2))**2 + 4 + 1 + 2. -160*sqrt(19) + 1971 Simplify (-2*sqrt(384)*-2)/(sqrt(288)*-1 + 2*sqrt(98)). 16*sqrt(3) Simplify sqrt(1331) + sqrt(1331) + (sqrt(1331) + (2*sqrt(1331))**2)*-1 - (sqrt(275)*-3 + 6*sqrt(55)/sqrt(5))**2. -6215 + 11*sqrt(11) Simplify -1 + ((1*(sqrt(85) - sqrt(85)*-3) + sqrt(85) - sqrt(85) - sqrt(85))/sqrt(5))**2*-4. -613 Simplify -4 + -1*sqrt(1008) + 1 - -6*(-3*sqrt(1008)*-1 + sqrt(1008)). -3 + 276*sqrt(7) Simplify (1 + sqrt(1053) + 0 + 3 + sqrt(1053)*-1 + (1 + sqrt(1053) + 0 - (sqrt(1053) + 3*2*sqrt(1053))))**2 + -2. -540*sqrt(13) + 37931 Simplify 4 + (sqrt(72)/sqrt(6)*-4)/(sqrt(324)*-3). 4*sqrt(3)/27 + 4 Simplify -2 + -4*(sqrt(847)*1)**2*4. -13554 Simplify ((sqrt(90)*1 - sqrt(640))/((-3*sqrt(288)*-2 - sqrt(288)) + sqrt(288)))**2. 125/5184 Simplify -3 + sqrt(12) + sqrt(3) + -4 - (sqrt(243) - (sqrt(243) - -1*sqrt(243)) - sqrt(6)/(sqrt(2) - -2*sqrt(2) - sqrt(2))). -7 + 25*sqrt(3)/2 Simplify -5 + (1 + sqrt(1088) - sqrt(1088))**2 + -3 + -5 + 3*((sqrt(170) + (sqrt(170) - sqrt(170)*-2 - sqrt(170) - sqrt(170)))/sqrt(10) + sqrt(17))**2. 447 Simplify (-3 + (-2*sqrt(17) + 0 - (-1 + sqrt(51)/sqrt(3) + sqrt(17) + sqrt(17))) + (sqrt(119) + -1*sqrt(119)*1)/((sqrt(63) + 2*sqrt(63))/sqrt(9)))**2. 20*sqrt(17) + 429 Simplify (-3 + (-4 + 1*sqrt(3) - (1 + sqrt(108) + sqrt(108))))**2 + ((sqrt(3) + 2)*-1)**2 + 3 + 1. 180*sqrt(3) + 438 Simplify sqrt(117)/(sqrt(225)*-3) - sqrt(143)/(-5*sqrt(275)). -2*sqrt(13)/75 Simplify ((sqrt(98) - 2*(sqrt(98) - sqrt(98)*-1))/sqrt(2))/(-4*sqrt(28)/sqrt(4) - (sqrt(84)/(sqrt(12) - sqrt(12)*-2) + sqrt(7))). 9*sqrt(7)/16 Simplify ((-1 + 1*sqrt(704) + -2 + (-2 + sqrt(704) + sqrt(704) + sqrt(704) - sqrt(704)) + sqrt(704))*4)**2 + 5. -5120*sqrt(11) + 180629 Simplify (-3*sqrt(264)/(sqrt(44)/sqrt(4)))/(sqrt(24)/sqrt(32) + sqrt(12) + -2*sqrt(972)). 12*sqrt(2)/67 Simplify (sqrt(95) - 6*sqrt(95)*1)/sqrt(5) - (sqrt(475)*1)**2*2. -950 - 5*sqrt(19) Simplify (4*1*(2*sqrt(5) + sqrt(5)))**2 - (sqrt(5) + (sqrt(5) - 2*(sqrt(5)*4)**2) + 2). -2*sqrt(5) + 878 Simplify (-4 + (-5 + (sqrt(176)*-2 + sqrt(176) - sqrt(176)))*2)*3. -48*sqrt(11) - 42 Simplify -6*sqrt(190)/(sqrt(160)*1) - (1 + -3 + (-1*sqrt(304))**2). -302 - 3*sqrt(19)/2 Simplify 1 + -5*(6*(sqrt(1700) + -4))**2*2. -617759 + 28800*sqrt(17) Simplify (sqrt(133)*-2*4 + sqrt(133))/(-4*sqrt(42)/sqrt(6) - sqrt(7)). 7*sqrt(19)/5 Simplify (sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76)*-1 + sqrt(76)))*-6 - -2*(2*sqrt(76) + sqrt(76)))/((sqrt(28)*2)/sqrt(7) - sqrt(20)/(sqrt(10)/sqrt(2))). 2*sqrt(19) Simplify (6*(sqrt(30) + sqrt(30) + -3*sqrt(2430)))/(4*sqrt(40)/sqrt(256)). -300*sqrt(3) Simplify -3 + (sqrt(77)/sqrt(7) + 1)**2 + 3 + -6*(sqrt(891) + -1)**2. -5340 + 110*sqrt(11) Simplify ((sqrt(110) + (sqrt(110) + sqrt(110)*2)*-1)/sqrt(2))/((sqrt(11) - sqrt(396)/sqrt(4))*-1). -sqrt(5) Simplify (2*sqrt(1008) + -2 + (sqrt(1008) - (3 + (sqrt(1008) - (sqrt(1008)*1 + sqrt(1008))))) - (4 + (sqrt(1008)*-3 + sqrt(1008))*5))**2. -3024*sqrt(7) + 197649 Simplify -2 + -5 + (-2 + (sqrt(1872) - -4*sqrt(1872)*-3))*2. -264*sqrt(13) - 11 Simplify (sqrt(20)/sqrt(40))**2 + sqrt(2) + (sqrt(8)/sqrt(16) - sqrt(2))**2 - (-6*sqrt(8)*4)/sqrt(4). 1 + 25*sqrt(2) Simplify (-3 + (sqrt(363) - (sqrt(363)*-1*2 + sqrt(363)) - (sqrt(363) + 2 + -1))*3)**2. -396*sqrt(3) + 3303 Simplify (-4*(-5*1*sqrt(66))/(((sqrt(66)*2 - sqrt(66)) + sqrt(66) + sqrt(66))/sqrt(11) - sqrt(6))*1*4)**2. 17600 Simplify -5*(2*6*(sqrt(44)/sqrt(4))**2 + (sqrt(539)*2)**2 + -1)*-6. 68610 Simplify 2*(sqrt(125) + 3) + ((sqrt(125) + sqrt(125)*-1 - sqrt(125)) + 4)**2 + sqrt(125). -25*sqrt(5) + 147 Simplify (sqrt(6000)*-2)/((sqrt(36)*-1)/sqrt(3)) + 4 + 3. 7 + 20*sqrt(5) Simplify (((sqrt(133) + -5*(sqrt(133)*-1 + sqrt(133) - sqrt(133)) + sqrt(133))*2)/(sqrt(504)/sqrt(8)*3) + 4)**2. 112*sqrt(19)/9 + 5020/81 Simplify -4*(4*sqrt(17) + 3 + sqrt(17)) + ((sqrt(204) + (sqrt(204) + -4*sqrt(204))*-4)/sqrt(12))**2. -20*sqrt(17) + 2861 Simplify (sqrt(19) + sqrt(190)/(-1*sqrt(10)) - sqrt(19)) + (1*sqrt(57)/sqrt(3))**2 + 0 + sqrt(475) + 0 + sqrt(475). 19 + 9*sqrt(19) Simplify (-1*2*sqrt(144))/((sqrt(800)*1 + sqrt(800) - sqrt(800)) + sqrt(800) + sqrt(72)*-5). -6*sqrt(2)/5 Simplify ((sqrt(85) - sqrt(85)*-1)*3)/(6*sqrt(20)) + (1 + sqrt(17)*-1 + sqrt(272)*3)**2. 45*sqrt(17)/2 + 2058 Simplify 5 + sqrt(6)/(-2*sqrt(3)) + 1 + -3*(sqrt(128) + sqrt(72)*2)**2. -2394 - sqrt(2)/2 Simplify -1 + 1 + sqrt(1250) + sqrt(1250) + sqrt(1250) + (sqrt(128) + 4*-2*sqrt(128))/sqrt(4). 47*sqrt(2) Simplify (5 + (sqrt(200) - (sqrt(200)*-3 + -2)) + sqrt(200) + 2*sqrt(200) + -1)**2. 840*sqrt(2) + 9836 Simplify ((sqrt(7) + sqrt(448)*4)**2 - (sqrt(70) - -1*sqrt(70))/sqrt(10)) + 3 + -2. -2*sqrt(7) + 7624 Simplify ((sqrt(176)/sqrt(4))/sqrt(11))/(1*sqrt(128) + sqrt(2)) + 3. sqrt(2)/9 + 3 Simplify (-1 + (-2*sqrt(12)*-4)/(sqrt(44)/(3*sqrt(11))))*-4. -96*sqrt(3) + 4 Simplify 2*((sqrt(448) - (sqrt(448) + -1))**2 - (-1 + sqrt(7)*2))*1. -4*sqrt(7) + 4 Simplify ((2*sqrt(1900) + -1 - (sqrt(1900) - (sqrt(1900) + -1 + 3))) + 3)**2*2. 320*sqrt(19) + 15232 Simplify ((sqrt(75) + -5 + -1*sqrt(75))*-3 + ((sqrt(75) - (sqrt(75) + -1))*6 - 1*sqrt(75)*-1))**2*4. 840*sqrt(3) + 2064 Simplify (((sqrt(1375) + -2*sqrt(1375) + sqrt(1375))*-6)/(4*sqrt(80)*-2))**2 + 3. 3 Simplify -6*((sqrt(605) + (sqrt(605) - (-1*sqrt(605) - sqrt(605)))*1)**2 - (-3 + 3*sqrt(605))**2). -25356 - 1188*sqrt(5) Simplify (6*(2 + -5*sqrt(1100)*1*-3))**2. 21600*sqrt(11) + 8910144 Simplify (sqrt(70)/(sqrt(2)*1))/(sqrt(7) + 5*1*sqrt(7))*3. sqrt(5)/2 Simplify (sqrt(66) + (sqrt(66) - (sqrt(66) + 1*sqrt(66)*5)))/(sqrt(486) - sqrt(486)*-2). -4*sqrt(11)/27 Simplify -4 + (sqrt(17) - (-2*sqrt(153))/sqrt(9)) - ((sqrt(68) + sqrt(17))*2 + sqrt(17)*1*2)**2. -1092 + 3*sqrt(17) Simplify (4 + -3 + -1 + sqrt(1008) + (1 + sqrt(1008))*4)**2. 480*sqrt(7) + 25216 Simplify 1*2*sqrt(847)*2 + (2 + -2*sqrt(847))*3. -22*sqrt(7) + 6 Simplify (sqrt(300) - (sqrt(300)*3*3 + sqrt(300)) - sqrt(300)) + 0 + -2. -100*sqrt(3) - 2 Simplify (-3*(sqrt(171) - sqrt(171)*1) - ((sqrt(171) + 0 - sqrt(171)) + 0)**2) + 4 + 4. 8 Simplify 2*((sqrt(7) - (5*sqrt(28)/sqrt(4) + sqrt(7)) - (sqrt(7)*-2 + -1)) + -2*(3 + sqrt(63) + sqrt(7)))**2. 220*sqrt(7) + 1744 Simplify (((sqrt(1300) + -2)*3 - (1*sqrt(1300)*1 - sqrt(1300)))*2)**2. -1440*sqrt(13) + 46944 Simplify ((sqrt(5) - (sqrt(25)/sqrt(5) + 5)) + ((sqrt(90)/sqrt(2))/sqrt(9))**2)*-6 + -5. -5 Simplify -3 + -3 + -3 + sqrt(1088) + sqrt(1088) + (3 + sqrt(1088) + sqrt(1088))**2. 112*sqrt(17) + 4352 Simplify 6*(1*sqrt(847) - sqrt(847)) + (-3*(1 + sqrt(847)))**2 + -3. 198*sqrt(7) + 7629 Simplify (1 + 2*(sqrt(6050) - (sqrt(6050) + sqrt(6050)*3))/sqrt(10)*-3)**2. 396*sqrt(5) + 196021 Simplify -1*(sqrt(448) + 4)**2*-3. 192*sqrt(7) + 1392 Simplify (-1 + sqrt(80))*-6 - ((sqrt(20)/sqrt(4) + 3 - sqrt(5)) + 0). -24*sqrt(5) + 3 Simplify -3*(1 + sqrt(2) + 4 + -4 + 0 + sqrt(2) + -1)*-3. 18*sqrt(2) Simplify -4*2*(5 + (sqrt(1008) + -2*(sqrt(1008) - (0 + sqrt(1008))) - ((sqrt(1008) + 1)*6 + sqrt(1008)))**2). -290632 - 6912*sqrt(7) Simplify (5 + ((sqrt(2299)*2 + 3 - sqrt(2299)) + sqrt(2299) - (4 + -1 + sqrt(2299)))*-2)**2. -220*sqrt(19) + 9221 Simplify (-6*(sqrt(11) + -1*sqrt(11) + 0) - ((-2*sqrt(176) + sqrt(176) + sqrt(176))/sqrt(8))/sqrt(2))**2. 0 Simplify ((2*(2*sqrt(76) - sqrt(76))*-6)/(-4*(sqrt(4) + 2*sqrt(256))))**2. 171/289 Simplify -5 + (((sqrt(192)*2 - sqrt(192)) + -4 + -5*(sqrt(192) + 2))*-1)**2. 896*sqrt(3) + 3263 Simplify (4*sqrt(450))/(sqrt(80)/sqrt(8)*-3). -4*sqrt(5) Simplify -5 + 0 + sqrt(3) + sqrt(33)/(sqrt(22)/sqrt(2)) + -4*(0 + sqrt(3))*-2. -5 + 10*sqrt(3) Simplify 3*(sqrt(588) - (sqrt(588) + ((sqrt(588) + -2*sqrt(588))*6 - sqrt(588))**2) - (sqrt(588) - (sqrt(588) + -3)*-4)**2). -130968 + 5040*sqrt(3) Simplify (1 + sqrt(300))*4 + 4 + sqrt(300) + (sqrt(300)*1)**2 + 5 + 5. 50*sqrt(3) + 318 Simplify (-2*sqrt(600))/(sqrt(12)*-3*-6). -5*sqrt(2)/9 Simplify 3*((sqrt(1331) - (sqrt(1331)*2 + 1))**2 + sqrt(13
{ "pile_set_name": "DM Mathematics" }
qrt(12)/sqrt(4) + sqrt(3))*-1 + (sqrt(144)/sqrt(4))/sqrt(12). 0 Simplify (sqrt(3) + 2*(sqrt(3) - sqrt(9)/sqrt(3)) + 3)**2. 6*sqrt(3) + 12 Simplify sqrt(1331)*1 - (5 + sqrt(33)/sqrt(3))**2. -36 + sqrt(11) Simplify (sqrt(637) + -3)*2. -6 + 14*sqrt(13) Simplify -6*2*sqrt(19)*-5. 60*sqrt(19) Simplify 1*(1 + sqrt(98)) + (-1*sqrt(98)*-1 - sqrt(98)). 1 + 7*sqrt(2) Simplify sqrt(102)/(1*sqrt(6)) - ((sqrt(187) + (sqrt(187) - (sqrt(187) + (1*sqrt(187) - sqrt(187)) + sqrt(187) - sqrt(187))))/sqrt(11))**2. -17 + sqrt(17) Simplify 4*-2*sqrt(605) + -2. -88*sqrt(5) - 2 Simplify sqrt(108) + -1 + 1. 6*sqrt(3) Simplify sqrt(153) + 4 - (1*sqrt(1700))**2. -1696 + 3*sqrt(17) Simplify sqrt(34)/(sqrt(126)/sqrt(7) + sqrt(2)). sqrt(17)/4 Simplify 1*-1*sqrt(539) - (3 + (-1 + sqrt(539) + sqrt(539))**2). -2160 + 21*sqrt(11) Simplify -2*sqrt(2880) + ((sqrt(405) + -2)**2 - sqrt(405)). -93*sqrt(5) + 409 Simplify ((-2*sqrt(112))/sqrt(8))/sqrt(2). -2*sqrt(7) Simplify -3*(-2 + sqrt(5))*6. -18*sqrt(5) + 36 Simplify -2*(sqrt(180) - (sqrt(180) + (3 + sqrt(180) + -1 + sqrt(180))**2 + sqrt(180))). 108*sqrt(5) + 1448 Simplify (sqrt(170) - sqrt(170)*2*-1)/sqrt(10). 3*sqrt(17) Simplify sqrt(1300) + -1 + sqrt(1300) + 1. 20*sqrt(13) Simplify sqrt(228)/((sqrt(192)/sqrt(4))/sqrt(4)). sqrt(19) Simplify (((sqrt(196)*-2)/sqrt(4) - sqrt(49)) + sqrt(49))/sqrt(7). -2*sqrt(7) Simplify (4*sqrt(304) + sqrt(19))**2*4. 21964 Simplify (-5*(sqrt(320) + sqrt(320)*1) - -1*sqrt(320)*-3)**2. 54080 Simplify (sqrt(4)/(sqrt(200) + (sqrt(200) - sqrt(200)*-2)))**2. 1/800 Simplify -4 + 5*2*sqrt(243). -4 + 90*sqrt(3) Simplify sqrt(38)/sqrt(2)*-3 + -1. -3*sqrt(19) - 1 Simplify (sqrt(102) - (sqrt(102) - 1*sqrt(102)*-3) - sqrt(102))/(sqrt(216)*-2). sqrt(17)/3 Simplify (4*3*sqrt(80) + (-3*sqrt(80) - sqrt(80) - sqrt(80) - sqrt(80))*5)**2. 25920 Simplify (1*(sqrt(15)*2 + sqrt(15)))/(sqrt(405)*1). sqrt(3)/3 Simplify sqrt(112) - 2*(sqrt(112) + 2 + sqrt(112))**2 - sqrt(112). -904 - 64*sqrt(7) Simplify ((sqrt(5) - (3 + sqrt(5))) + 4)**2 + sqrt(605) + 2. 3 + 11*sqrt(5) Simplify (1 + sqrt(272)*2)**2 - (sqrt(272) + -3 + -5)**2. 80*sqrt(17) + 753 Simplify (-1 + sqrt(11)*-5)**2 + (sqrt(11) + 3)*3. 13*sqrt(11) + 285 Simplify 5 + sqrt(36)/sqrt(108) + sqrt(243)/sqrt(9). 5 + 10*sqrt(3)/3 Simplify ((sqrt(15) - sqrt(75)/sqrt(5))/sqrt(3) - -5*sqrt(25)/sqrt(5))**2 + 3. 128 Simplify ((sqrt(1372) - (sqrt(1372) - (sqrt(1372)*2 + sqrt(1372)))) + sqrt(1372) - sqrt(28) - sqrt(28))/sqrt(4). 26*sqrt(7) Simplify sqrt(48) + sqrt(192) + -2 + sqrt(192). -2 + 20*sqrt(3) Simplify (0 + sqrt(176) + sqrt(176) + (sqrt(176)*-2)**2)*2. 16*sqrt(11) + 1408 Simplify (sqrt(76) + (sqrt(76) + 3)*-5 + sqrt(76))**2. 180*sqrt(19) + 909 Simplify (1 + 1 + sqrt(125))**2 + 0. 20*sqrt(5) + 129 Simplify (sqrt(11)*-2 + sqrt(11) + 3 - (sqrt(704) + 2 - sqrt(704))**2) + 5. -sqrt(11) + 4 Simplify -4 + (sqrt(425) + -1 - sqrt(425)) + sqrt(425) + -2. -7 + 5*sqrt(17) Simplify (1*sqrt(52))**2 - (sqrt(13) + 0 + sqrt(52)). -3*sqrt(13) + 52 Simplify -3*(sqrt(18)/(sqrt(96)*-1))**2. -9/16 Simplify (sqrt(468)*-1)**2 + -2 + 5*(sqrt(468) - (sqrt(468) + 0)**2). -1874 + 30*sqrt(13) Simplify sqrt(44) + sqrt(88)/(sqrt(12)/sqrt(6)). 4*sqrt(11) Simplify -5*(-1 + sqrt(1008)) - sqrt(1008). -72*sqrt(7) + 5 Simplify ((sqrt(208) - (sqrt(208)*2 + 0)) + -2)**2. 16*sqrt(13) + 212 Simplify (-4 + sqrt(99) + 3)**2. -6*sqrt(11) + 100 Simplify sqrt(6)/(-4*sqrt(3))*-3 + -4. -4 + 3*sqrt(2)/4 Simplify ((sqrt(36)/(sqrt(12)*-2) - (2 + -1*sqrt(3)))*3)**2. -18*sqrt(3) + 171/4 Simplify 3 + ((-6*(sqrt(128) - (1 + sqrt(128))) - sqrt(128))**2 - (3 + (sqrt(128)*1 - sqrt(128)))**2). -96*sqrt(2) + 158 Simplify 1 + (0 + sqrt(252))**2 - (6*(1 + sqrt(252)))**2. -8855 - 432*sqrt(7) Simplify (sqrt(72))**2*4 - (sqrt(18) + 2). -3*sqrt(2) + 286 Simplify (sqrt(121) - -1*(-1*sqrt(121) + sqrt(121)))/(sqrt(55)/(sqrt(5)*2)). 2*sqrt(11) Simplify (4 + -4*-2*sqrt(11)*3)**2. 192*sqrt(11) + 6352 Simplify ((-2*sqrt(209)*2)/(sqrt(132)/(sqrt(48)/sqrt(4))))**2. 304 Simplify -1 + ((-1 + sqrt(1088))*3)**2. -144*sqrt(17) + 9800 Simplify (sqrt(243)/(sqrt(54)/sqrt(6)) + sqrt(27))/(sqrt(45)/(sqrt(245) - sqrt(5))). 12*sqrt(3) Simplify ((3*sqrt(72) + sqrt(72))/sqrt(2))/(1*sqrt(1200)). 2*sqrt(3)/5 Simplify (sqrt(114)/(sqrt(6) - sqrt(24)))**2*-1 - (2*sqrt(475) + 1*sqrt(1900))**2. -7619 Simplify (sqrt(2940)*-2)/sqrt(12). -14*sqrt(5) Simplify (sqrt(6)/((sqrt(144)/sqrt(4))/sqrt(12)))**2. 2 Simplify (-1 + (sqrt(175) - -1*sqrt(175)*-2))**2. 10*sqrt(7) + 176 Simplify 2*(sqrt(300) + 2 + sqrt(300)). 4 + 40*sqrt(3) Simplify -6*sqrt(68)/(sqrt(4)*2*-6). sqrt(17)/2 Simplify (6*sqrt(209)*-2)/(sqrt(1331)*1). -12*sqrt(19)/11 Simplify -1*-4*sqrt(14)/sqrt(2). 4*sqrt(7) Simplify (5*sqrt(70)*-1)/(sqrt(1000) - (sqrt(1000) - (sqrt(1000)*-2 + sqrt(1000) - sqrt(1000)) - sqrt(1000))). sqrt(7)/2 Simplify (sqrt(2) - (sqrt(2) + sqrt(10)/sqrt(5)*-2)) + -6*sqrt(98). -40*sqrt(2) Simplify (1*sqrt(15))/sqrt(5) - (-3 + sqrt(3) + sqrt(27)). -3*sqrt(3) + 3 Simplify (4 + ((sqrt(152) + sqrt(152)*1 + sqrt(152))*-4)/sqrt(8))**2. -96*sqrt(19) + 2752 Simplify (sqrt(448)*-2)/(2*sqrt(4)*-1 + sqrt(4)). 8*sqrt(7) Simplify (3 + sqrt(3))**2 + 3 - (-2 + sqrt(192)). -2*sqrt(3) + 17 Simplify (sqrt(117)*3*-6)/(sqrt(9) + sqrt(324)*-3). 18*sqrt(13)/17 Simplify 6*(3 + 0 + sqrt(7)). 6*sqrt(7) + 18 Simplify 1*(sqrt(832) + -2). -2 + 8*sqrt(13) Simplify (-3 + sqrt(1872)*-2 + sqrt(1872))**2*-2. -3762 - 144*sqrt(13) Simplify ((-2*sqrt(1573))**2 - sqrt(13)) + -4. -sqrt(13) + 6288 Simplify (sqrt(1053) + 1 - sqrt(637)*4)**2. -38*sqrt(13) + 4694 Simplify sqrt(16)/((sqrt(32) + sqrt(8))*6). sqrt(2)/18 Simplify (sqrt(77)/(5*sqrt(55)/sqrt(5)) + -4)**2. -8*sqrt(7)/5 + 407/25 Simplify sqrt(57)/(sqrt(3) - -2*sqrt(432)). sqrt(19)/25 Simplify (sqrt(2736) + 1 + sqrt(2736) + -1 + sqrt(2736) - (sqrt(2736) + (sqrt(2736) + (1*sqrt(2736) - sqrt(2736)) - sqrt(2736)) + 5))**2. -240*sqrt(19) + 10969 Simplify (4*sqrt(1440))/sqrt(2). 48*sqrt(5) Simplify -1*(-2 + sqrt(1331)). -11*sqrt(11) + 2 Simplify (-1*sqrt(19)*2)**2 - sqrt(152)/(sqrt(24)/sqrt(3)). -sqrt(19) + 76 Simplify -1 + (-1 + sqrt(125) + (sqrt(125) + 0 - sqrt(125)) + sqrt(125) + sqrt(125))**2. -30*sqrt(5) + 1125 Simplify ((1*sqrt(7)*4 - sqrt(7) - sqrt(7))*5)**2. 700 Simplify (((sqrt(128) - sqrt(128)*-2)**2 + sqrt(128))*1 - sqrt(128))*3. 3456 Simplify (sqrt(65)/sqrt(125) + sqrt(104)/(sqrt(48)/sqrt(6)))**2. 468/25 Simplify 1 + (sqrt(11) + 3 - sqrt(11)) + -4 + -1. -1 Simplify sqrt(156)/sqrt(75). 2*sqrt(13)/5 Simplify (sqrt(700)*4)/sqrt(4). 20*sqrt(7) Simplify (-2*((-1*sqrt(147) - sqrt(147)) + sqrt(147))*5*5)**2. 367500 Simplify (sqrt(22)*1*-2)/((sqrt(18)/sqrt(3))/sqrt(3)). -2*sqrt(11) Simplify -3*((2*sqrt(187))/sqrt(11) + (sqrt(153)/sqrt(3))/sqrt(3))**2. -459 Simplify (sqrt(1944)*-2)/(sqrt(8) - ((sqrt(160)/sqrt(5))/sqrt(4) + sqrt(8))). 18*sqrt(3) Simplify (1 + sqrt(2736) - sqrt(2736))*3 - sqrt(2736). -12*sqrt(19) + 3 Simplify (-3*sqrt(864))/(sqrt(128)*-2 - sqrt(128)). 3*sqrt(3)/2 Simplify 1 + (1*1*sqrt(7) - (sqrt(847) + 1)**2). -847 - 21*sqrt(7) Simplify 0 + (sqrt(1800)*2)/(sqrt(80)/sqrt(2) + sqrt(40)). 3*sqrt(5) Simplify (3*((sqrt(65) - -1*sqrt(65)) + sqrt(65)))/(sqrt(500) + sqrt(500) + -2*sqrt(500) + sqrt(500)). 9*sqrt(13)/10 Simplify (2*2*sqrt(95))/(-2*sqrt(180)). -sqrt(19)/3 Simplify (sqrt(975)*-5)/sqrt(3). -25*sqrt(13) Simplify sqrt(8)/(sqrt(100) + sqrt(4)) + -4. -4 + sqrt(2)/6 Simplify -4*(sqrt(66) + -2*sqrt(66))/sqrt(6)*-4. -16*sqrt(11) Simplify sqrt(65)/(-2*sqrt(5)*-2). sqrt(13)/4 Simplify (sqrt(60)/(-2*sqrt(4)))/sqrt(3)*3. -3*sqrt(5)/2 Simplify -2 + sqrt(22)/(3*sqrt(2)) + 0. -2 + sqrt(11)/3 Simplify 2*1*sqrt(19) + sqrt(931)*-5. -33*sqrt(19) Simplify -2 + 3*sqrt(33)/sqrt(3). -2 + 3*sqrt(11) Simplify ((sqrt(2299) - -5*-1*sqrt(2299)) + sqrt(2299))**2. 20691 Simplify -4*((0 + sqrt(500))*-2 + (sqrt(500) - -3*(-1 + sqrt(500)))). -80*sqrt(5) + 12 Simplify ((sqrt(21)/sqrt(3) + 3)**2 + (sqrt(189)/sqrt(3))/sqrt(9))*6. 96 + 42*sqrt(7) Simplify sqrt(55)/(6*sqrt(396)). sqrt(5)/36 Simplify (((sqrt(190) - (sqrt(190) + (sqrt(190) - (1*sqrt(190) + sqrt(190))))*1) + sqrt(190))/(sqrt(40)*-1)*3)**2. 171 Simplify ((sqrt(1600) - ((sqrt(1600) + (sqrt(1600) - sqrt(1600)*-1) - sqrt(1600) - sqrt(1600)) + sqrt(1600)))/(sqrt(80)*3))**2. 20/9 Simplify -2*(1 + (sqrt(352) + sqrt(22))/sqrt(2)).
{ "pile_set_name": "DM Mathematics" }
4*n - 2858, -2*h - 23*n - 257 = 0 for h. -2 Solve 3 = -2*q + 4*c - 1 + 4, 2*q - 8 = -20*c + 26*c for q. -8 Solve 3617*a - 1 = -4*h + 3616*a, 3*h - 3*a = 27 for h. 2 Solve 4*x - 20 = 2*k, 3*x - 103 + 73 = 3*k for k. -10 Solve 0 = -k - 4*o - 23*o + 436 - 57, 0 = -0*k - 5*k - 5*o + 75 for k. 1 Solve -10*d - 12 = -6*d, 7*z + 2*d + 37 = 24 for z. -1 Solve 4*s + 47 = 44797*y - 44808*y, 5*y + 25 = 0 for s. 2 Solve 22*l - 10*l - 7*l = -5*v + 35, -5*l - 4*v + 31 = 0 for l. 3 Solve -4*t = -4*g + 16, -6435*t + 6437*t + 14 = 0 for g. -3 Solve 4*z + z + 3 + 1 = 3*a + a + 2, -15*a = -45 for z. 2 Solve -3*t = 4*b - 60, 0 = 963*b - 964*b + 33*t - 795 for b. -3 Solve -3*o + i = 19, 5*o - 2866 = 4*o + 5*i - 2933 for o. -2 Solve 19 = z + 36*v - 40*v - 13, -5*z + 2*v + 178 = 0 for z. 36 Solve -307275*x + 307272*x + 154 - 16 = -4*z, 4*z + 2*x - 92 = 0 for z. 0 Solve 0 = -l - 6*q - 58, 0 = 4*l - 15*q + 4*q + 6*q - 58 for l. 2 Solve 17168*m - 34333*m - s - 4 - 9 = -17160*m, -5*s + 35 = 0 for m. -4 Solve -4*q - 2*o - 138 = 0, -3*o = q + 72 - 25 for q. -32 Solve -26*b + 77 = -3*x, x + 7*b = -x - x + 55 for x. 9 Solve -92535 + 92407 = 8*x - 2*y, -79 = 5*x - y for x. -15 Solve 1404*o - 1406*o + 5*h - 40 = 0, -4*o - h - 32 = -5*h for o. 0 Solve -4*h + 7 + 1 = 6 - 14, 0 = 5*c + 51*h - 254 - 25 for c. 15 Solve 0 = -0*a + 2*a - 26, 6*k + 6 - 27 + 9 = -2*a - 10 for k. -4 Solve 5*g - 24*k - 1020 = -20*k - 1023, -13 = g - 7*k for g. 1 Solve -2*a + f = -23, 4*a - 221*f + 227*f - 86 = 0 for a. 14 Solve 117*n = 57*n + 62*n - 9*p - 41, p - 71 = -2*n for n. 34 Solve 45 = 3*o - 18*y, 0 = 5*y + 41 - 16 for o. -15 Solve 5*r - 26*o - 63 - 82 = -47 + 41, -4*r + 128 = -4*o for r. 33 Solve -4*l = 4*r + 20, -1817 = -36*r + 2*l - 1769 for r. 1 Solve -4 = -2*n + w, 236*w = -5*n + 241*w + 30 for n. -2 Solve -5*t + 5*b = 40, 67 = -t - 84*b - 111 - 85 for t. -11 Solve 5*x = -5*t + 30, x - 1871*t = -1881*t + 33 for x. 3 Solve 2*f + 43*p + 4 = 24*p + 18*p, 2*p - 16 = 4*f for f. -3 Solve -2*p = 6*d + 84, -4340*p = -4335*p + 5*d + 240 for p. -51 Solve -157*d - 3*q + 7 = -165*d, -2*d = -7*q - 17 for d. -2 Solve 8538*i - 8542*i = -3*b + 102, 5*b - 171 = 7*i for b. 30 Solve t + 9 = -4*k - 4, -16*t + 28 = 2375*k - 2370*k for k. -4 Solve 13*x - 102 = -17*a + 8*x, 120*a + 4*x + 30 = 125*a for a. 6 Solve 2*z - 5*y + 7526 = 7493, -9*z - 5*y - 11 = 0 for z. -4 Solve 6*d + 5*m = -0*m + 290, 16*d + 22*d - 1690 = -4*m + 9*m for d. 45 Solve 4*g - 378 = 6*v, -41*v + g = -26*v - 2*g + 966 for v. -65 Solve t - 7 = -14*b + 9*b - 20, 0 = 2*b + 8*t + 28 for b. -2 Solve 5*d + 248 = 8*z + 205, -3*z + 2*d = -16 for z. 6 Solve 5*i - 255 = 10*z, 5*i + 0*i + 7*i = 8*i + 172 for z. -4 Solve 3*a + 7*m - 4*m = 8*m - 47, 33*a - 3*m + 153 = 0 for a. -4 Solve 9*a + 54517 = -7*a - j + 56008, -4*a + 4*j = -360 for a. 93 Solve -3*j + 3*a + 7 = 43, -51 = 5*j - 2*a for j. -9 Solve -72*k + 77*k = -4*w - 122, -2*w - 76 = -5*k for k. 2 Solve 0 = 4*w - 4*x, -4*w - 7 = w - 2*w + 17*x - 13*x for w. -1 Solve 3*d - 40*a = -126*a - 368, -4*d - a = 36 for d. -8 Solve -19*x + 4*s + 2*s - 3*s = -15*x - s + 28, -16*x = 3*s - 59 for x. 2 Solve -3*y = -5*n - 2*y + 33, -4*n - 13*y = -20*y - 107 for n. 4 Solve 297*b - 293*b + 228 = -11*z, -z = 3*b + 26 for z. -20 Solve 4*m - 5*k - 17 = -5*k + 5*k, 40 = -30*m - 35*k + 39*k for m. -2 Solve 19*u + 11*p = 10*p - 284 + 303, 0 = 5*u - 2*p - 1 - 4 for u. 1 Solve 2*d - 48 = -12*a, 5*d - 1596*a + 1599*a - 12 = 0 for d. 0 Solve 175084*r - 33 = 175081*r - 3*x, -2*x = -26 for r. -2 Solve -182*j - 3 - 3 = -175*j - 13*n + 5*n, 0 = 3*j - 6*j + 4*n - 6 for j. 6 Solve -48 = v + 39*q + 87, -3*v - 2 = -3*q + 43 for v. -18 Solve -21*s - 33*s + 0*w + 5*w - 15 = -49*s, -3*s - 11 = -4*w for s. -1 Solve 5*d + 17 = -14*c, 0 = -125*c + 125*c - 3*d - 4 + 19 for c. -3 Solve 0 = 4*p + 2*p + 3*i - 330, 3*i - 2158 = -5*p - 1883 for p. 55 Solve -4*d - 5*i + 37 = -d, 4*i - 6*i - 23 = -3*d for d. 9 Solve g = -k + 59 - 97, -13*g - 504 = 3*k for g. -39 Solve -3*h - 27*k + 6460 = 6391, 74 = 5*h + 4*k for h. 14 Solve -50*f = i - 91*f + 48*f + 11, -i - 2*i + 5*f + 19 = 0 for i. 3 Solve 0 = -13*u + 27*r - 229, 185*r - 93*r - 94*r = 4*u - 12 for u. -1 Solve -3*h = r - 26 + 20, 17*r + 59 + 54 = -3*h + 23 for h. 4 Solve -10*k + 5*k = r + 7 - 11, 5*k - 22*r = -548 for k. -4 Solve 436 = -8*b - 7*w + 214, -3*b = 2*w + 3*w + 164 for b. 2 Solve 3*x = -28*f - 24*f + 56*f + 81, 41*f + 735 = 2*x - 3*x for f. -18 Solve -6*a = 5*z + 104, -4*z + 16 - 27 = -2*a + 21 + 24 for a. -4 Solve -5*n - 5*i = -240, 261*i = -10*n + 256*i + 265 for n. 5 Solve 4*i + 0*i + 27 = -4*m + 87, 24*i + 3*m - 339 = 0 for i. 14 Solve -4*k + h = -13, 8*k - 14698*h = -14694*h + 20 for k. 4 Solve -1929*w - x + 7772 = 9*x + 2*x - 8*x, -42 = -3*x for w. 4 Solve 40 = n + 5*u, 55125*u = 55120*u + 35 for n. 5 Solve -76*m + 20 = n - 73*m, -3*n = 1201*m - 2444 for n. 14 Solve -6*l - h = -101, -74 = -31*l + 27*l - 2*h for l. 16 Solve 4*v - 4*a - 9617 = -9701, -1 = -a for v. -20 Solve -201 - 215 - 172 = 5*r + 4*p - 514, 4 = -4*p for r. -14 Solve -27*w - 218 = r - 125 - 290 - 372, -r = -w + 19 for r. 2 Solve 13*y - 13 = 2*i, 9 = -122*y + 126*y - i for y. -1 Solve 6*b - 8 = 5*b - 3*q - 2*q, -135*b + q = -4*q - 400 for b. 3 Solve 0*q + 2*q = -95*s - 2*q + 1445, -9*s + 7*q = -8*s + 20 for s. 15 Solve 2*u - 4*d + 131 = -5, 2*u - 2*u + 3*d - 102 = 5*u for u. 0 Solve -180 = -36*k, b = -0*b + 4*k + 1919 - 1938 for b. 1 Solve 0 = -8*g - 3*z + 10 - 4, 7*g = 10*g + 3*z - 6 for g. 0 Solve -3*n - 2507109 = -2*h - 2507131, -4*h - 20*n = -216 for h. 4 Solve -3 = 5035*w - 5043*w + 3*y, -2*y + 1 + 0 = 7*w + 3 for w. 0 Solve 4*d + 47 + 13 + 13 = -27*g, 3*d + 140 = 146 for g. -3 Solve -6*t = -4*u - 122, -4*t - 4*u + 1698 = 1630 for t. 19 Solve -3*k = 2*s - 47, 142 = 16*k + s - 70 for k. 13 Solve -18*c + 20*c + 4*v - 288 = 0, -18*c + 19*c - 5*v + 346 = 0 for c. 4 Solve -266*b - i - 1321 = 0, 0 = 30495*b - 30500*b - i - 16 for b. -5 Solve -3 = -y + 3*a + 6, 10*a - 1118 = -2*y - 1180 for y. -6 Solve 2*l - 6969*d = -6976*d - 4, 4*l + 2*d + 8 = 0 for l. -2 Solve 12*v + a + 223 - 322 = -0*a, v + 3*a = 17 for v. 8 Solve 45 = 12*v + 9, 15*s - v + 2*v + 9 = -33 for s. -3 Solve -h = 3*q - 35, 0 = -37*h + 115*h - 74*h - 4*q + 36 for h. 2 Solve -2356*r + 2369*r + 93 = -2*p, 25 - 21 = -4*p for r. -7 Solve n - 3*y - 19 = 0, -598 + 624 = -4*n - 90*y for n. 16 Solve -5 = 3*d - 63*f + 61*f - 3, -10*d - 3 = -6*f + 3*f - 0*f for d. 0 Solve -7*a + 2508*n = 2505*n + 132, 0 = -2*a - 5*n + 68 - 94 for a. -18 Solve 12*c + 116 - 410 = -3*z, 102 = 3*z + 4*c for z. 2 Solve 2*j - j + j = -17*h + 58, 417*j = -h + 419*j + 14 for h. 4 Solve l + 0 - 3 = -2*p, l - 13*p + 30 = 78 for l. 9 Solve -6*z + 59*k - 549 - 101 = -23*k, -2*k = -0*z + 5*z - 21 for z. 1 Solve 0 = 4*n - 2*n - 53 - 19 + 106, -6*l - 11*n = -l + 182 for l. 1 Solve 2*y - 3*y - 2*g - 236 = -9*g - 44*g, 6*g = -y + 49 for y. 19 Solve w - 8 = -4*p + 3*p, 12*w - 175*p - 145*p - 124 = -318*p for w. 10 Solve 5*x + 75 = 15*r, x = 6*r + 5*x - 3*x - 12 for r. 3 Solve -c - 9223 + 9302 = 16*z, 41*z = -4*c + 201 for c. -1 Solve 24513*h = 3*j + 24518*h - 42, -17 = -j - 2*h for j. -1 Solve 5*x = 2*s + 84 - 132, -49 = 4*x + 9*s for x. -10 Solve -34*d - 3*v + 7683 = 3810 + 3832, d - v = 11 for d. 2 Solve 0 = 4*k - 4*g - 148, -2*g = 872*k - 889*k + 629 for k. 37 Solve 3*s + 55 = 4*k - 82 + 27, 8*s = k - 274 for k. 2 Solve -10*p - 1661 + 1770 = -13*p - 4*w, 2*p - 3*w = 69 for p. -3 Solve 8*p - 18*p - 4*p + 3*s - 59 = 0, -p + 3*p - 43 = -0*p - 3*s for p. -1 Solve -72*x = -74*x - d - d + d + 17, 0 = x + 7*d - 145 for x. -2 Solve 0 = 3*g + 6, -3*i + 55*g + 26350 - 26246 = 0 for i. -2 Solve 0*d + d - 5*n + 8*n + 29 = 2*d, -6*n - 60 = 0 for d. -1 Solve 2*o - 302*n + 306*n + 7 = 1, 0 = o - 4*o + 3*n for o. -1 Solve 17 = -3*i + 2*g, 18376*i - 18384*i + 3*g = 36 for i. -3 Solve 2*m - o = -m - 53, -8*m + 74*o = 39*o + 47*o + 156 for m. -18 Solve 0 = -5*o - 2*z - 492 + 470, 0 = -10*o + 2*z - 38 for o. -4 Solve 5 = -48690*w + 48689*w, 1 = h - w for h. -4 Solve 0 = -7*g + 3*u + 62, -2*g - g - 475 = 6*u - 385 for g. 2 Solve -14*b + 15 = 3*h - 12*b, -3*h - 5*b - 23 + 47 = 0 for h. 3 Solve 0 = -2*a + 4*g - 10, -21*a = -24*a + 12*g - 24 + 9 for a. -5 Solve 28*f = -6*p - 4, -501*f + 504*f - 4*p = -19 for
{ "pile_set_name": "DM Mathematics" }
*2 + 2*j + 2. Let b be ((-4)/((-40)/50))/1*(-6)/(-5). Determine v(b). -22 Let k(c) be the second derivative of c**4/12 - 11*c**3/2 + 35*c**2/2 - 2*c + 3403. Give k(32). 3 Let p(b) = -3*b + 6. Let w(x) = 2*x**3 - 44*x**2 - 45*x - 14. Let n = -9 + 32. Let j be w(n). Give p(j). -21 Let t(x) = -11*x**3 - 813*x**2 + 72*x - 153. Let s be t(-74). Let v(y) = -5*y + 19. Let o(j) = 2*j - 6. Let r(k) = 11*o(k) + 4*v(k). Calculate r(s). 0 Let g(c) = c**2 - 99*c - 1463. Let t be g(-13). Let s(k) be the third derivative of k**5/60 + 7*k**4/24 - k**3/6 - 3*k**2. What is s(t)? -1 Let y(r) = -267 + 86 + 88 + 87 - 347*r + 348*r. What is y(-4)? -10 Let g(n) = 5*n + n**2 + 121 + 0*n**2 + 108 + 3*n - 243. Determine g(-11). 19 Let p be 6/(-26) + (-9316)/(-1781). Let f(y) = -y**2 + 39. Determine f(p). 14 Let l(m) = -11*m. Let q(o) = -11*o. Let i(h) = 6*l(h) - 7*q(h). Let d(c) = -16*c**2 - 13*c + 11. Let r be d(4). Let u = 296 + r. Give i(u). -11 Let d(s) = s**2 + 5*s + 2. Let t be d(-2). Let q(n) = -38*n**2 - 11*n - 78. Let c(m) = -27*m**2 - 8*m - 56. Let k(g) = -7*c(g) + 5*q(g). Give k(t). -18 Let o be (-4)/(-3)*(42/(-12) + 2). Let y be (o - -1)*0/1. Let l(d) be the third derivative of -d**4/24 + 5*d**3/3 + 2*d**2. Give l(y). 10 Let o = 200 + -196. Let i(b) = b**3 - 4 - o*b**2 + 8*b + 5*b - 9*b. Calculate i(3). -1 Let z(s) = 12*s - 20. Let p(l) = -4*l + 7. Let j(y) = -8*p(y) - 3*z(y). Let n(d) = 5*d**2 - 235*d - 238. Let a be n(48). Give j(a). -4 Let b(d) = 25*d - 13. Let z be b(1). Let k(l) = 3*l**3 + 12 - 12 - z*l - 2*l**3. Let s be k(3). Let c(i) = i + 9. Calculate c(s). 0 Let i(p) be the first derivative of -p**5/60 + 5*p**4/12 - p**3/3 - 25*p**2 - 2*p - 223. Let d(c) be the second derivative of i(c). Give d(9). 7 Suppose -3*q - 14 = 4*s - 46, -3*q + 4*s - 8 = 0. Suppose b = -16 + 17, -3*b = -q*z - 7. Let a(c) = -c**2 - 2*c - 1. Calculate a(z). 0 Let k(d) = -d - 9. Let v be k(5). Let b be v/10 - (1 + (-6)/15). Let r(i) be the second derivative of i**4/6 + i**3/6 - i**2 - i. Calculate r(b). 4 Let f(a) = 4*a**3 - 2*a + 1. Let h(v) = -v**3 + v - 1. Let s(z) = -f(z) - 3*h(z). Let q(r) = -7*r**2 - 20*r - 15. Let u be q(-2). Determine s(u). 32 Suppose 12*s - 14 = -2. Let p(g) = 7*g**2 + 7*g - 2. Let h(r) = 6*r**2 + 6*r - 2. Let i(t) = 4*h(t) - 3*p(t). Calculate i(s). 4 Let s(t) = t + 5. Let m be (-3010)/(-18) + 1 + (-2)/9. Let w = 160 - m. Give s(w). -3 Let b(g) be the second derivative of -g**4/8 + 7*g**3/3 - 25*g**2/2 + 11*g + 2. Let a(w) be the first derivative of b(w). Calculate a(6). -4 Suppose 36*v + 635 = 31*v. Let x = -80 - v. Let d(q) = 21*q + 29*q - 1 - x*q. Determine d(3). 8 Let z(g) = -5813*g - 5815*g + 22 + 11622*g. Determine z(-7). 64 Let l(k) = 3*k**3 - 2*k**2 + 41*k - 7. Let d(f) = 2*f**2 - 13*f + 2. Let b(g) = -3*d(g) - l(g). Let a be 2 - 2 - (-1 + -1). Let p = a + -4. What is b(p)? 13 Let h(k) = 6*k**2 - 14*k + 14. Let g be h(1). Let b(a) be the second derivative of a**4/12 - 7*a**3/6 + 14*a. Calculate b(g). -6 Let f(a) be the first derivative of 9*a**2/2 - 4*a + 1. Let p(v) = -v**3 - 35*v**2 + 86*v + 447. Let b be p(-37). Give f(b). 23 Let m be (1 - 1)*(-4)/32*-4. Suppose j + 0*j - 3*r = 9, m = -2*j - 3*r. Suppose -4*p = 0, -3*b = 2*b + j*p - 30. Let k(z) = -z**2 + 5*z + 6. Determine k(b). 0 Let i(h) = -2738*h + 117738. Let q be i(43). Let j(a) = -44*a + 12. Let n(v) = 4*v - 1. Let s(f) = 3*j(f) + 32*n(f). Calculate s(q). -12 Let m(r) = 2*r - 16. Suppose -2*x - 17*z + 15*z + 24 = 0, -2*x + 29 = z. Let d be (-60)/510 - (-121)/x. Determine m(d). -2 Let s(r) = 129*r**2 + 21 - 381*r**3 - 150*r**2 + 382*r**3 - r. Give s(21). 0 Suppose 5*n - 5 = 4*n. Let s(g) be the second derivative of -3*g**2 - 1/2*g**3 + 1/12*g**4 - 3*g + 9. Determine s(n). 4 Let t(x) = -32*x**2. Suppose -273*c = -215*c - 58. What is t(c)? -32 Let f(d) = -3*d. Let p = 7551 - 7555. Determine f(p). 12 Suppose 0 = -5*z - 3*j - 54, z + 4*j - 6 = 3*z. Let y(k) = 5*k + 55. Determine y(z). 10 Let v(b) be the first derivative of b**4/4 - 11*b**3/3 + 13*b**2 - 7*b - 690. What is v(8)? 9 Suppose -o - 1 = -2*v, -3*o + 7*o = -2*v + 16. Let s(q) = -10*q**3 + 3 - 2*q**2 - 1 + 5*q + 0*q**v + 9*q**3. Determine s(-3). -4 Let r(n) = 71*n**2 + 6*n + 12. Let k(z) = -18*z**2 - z. Let d(m) = 4*k(m) + r(m). Give d(6). -12 Let l(v) = 99 - 10*v**2 + 26*v**3 - 25*v**3 - 103 + 8*v + 14*v. Determine l(7). 3 Let l(t) = 10 - 3*t - 31 + 5*t. Let h be (6/(-98))/(1973/(-290031)). Calculate l(h). -3 Let u = 13678 + -13689. Let z(s) = 3*s**2 + 22*s - 18. Let i(g) = 2*g**2 + 15*g - 12. Let n(v) = -8*i(v) + 5*z(v). Calculate n(u). -5 Let n(j) be the third derivative of j**6/120 + 11*j**5/60 + j**4/6 + 14*j**3/3 + 3871*j**2. What is n(-10)? 88 Let o(x) = -x**3 - 5*x**2 - 4*x. Suppose 9*v = 12*v + 1521. Let c = -511 - v. Determine o(c). 0 Let s be (-27 + 30)/(6/28). Let j(t) = -2*t**2 + 10*t**2 + 4*t**2 - 2*t - 3 - s + 14. Give j(-2). 49 Let k(u) be the first derivative of -3/2*u**2 - 6*u + 124. Determine k(8). -30 Let h(p) be the second derivative of p**4/3 - 4*p**3/3 + 4*p**2 - 698*p. Determine h(3). 20 Let d(j) = -4428*j**2 - 51*j**3 + 30 + 4442*j**2 + 52*j**3 + 17*j. Give d(-12). 114 Let a(w) = -w**2 - 2*w - 3. Let o be a(-2). Let q(l) = 18*l + 1 - 5*l + 3*l**2 + 216*l**3 + 208*l**3 - 9*l - 422*l**3. Give q(o). -38 Suppose -4*j + 1 = 5*i, 0*i + 15 = -5*i. Let h(l) be the first derivative of l**3/3 - 7*l**2/2 - 5*l - 500. Calculate h(j). -17 Let i(m) = -2*m + 7. Suppose 4*s - 3*d = 313, -2 = 3*d + 7. Let y be (-62)/(-8) - 57/s. What is i(y)? -7 Let q(p) = 44 - 126*p + 547*p - 426*p - 105. Determine q(-15). 14 Let h(c) = -c + 2. Let z(g) = 1. Let n(m) = 2*m - 7. Let v(f) = -n(f) - 2*z(f). Let w = 71 - 65. Let s(p) = w*v(p) - 11*h(p). What is s(6)? 2 Let i(t) be the second derivative of t**4/12 - 2*t**3 + 8*t**2 - 46*t - 7. Give i(11). 5 Let n = 299 - 274. Suppose -18*s + 13*s = n. Let m(y) = -y + 0 + 4 - 3. Determine m(s). 6 Suppose 5*z - 3*z - 32 = 0. Let o = z - 14. Let c(t) = 2 - 7 - 2*t**o + 3*t - t + 6. Give c(2). -3 Let b be -2 + (-1 - 2) + 11. Let i(j) = j**3 - 6*j**2 + 5*j + 6. Let q be i(5). Let w(r) = 2*r - 3 + 3*r**3 - 2*r**3 - 4*r + 3*r - q*r**2. Give w(b). 3 Let j(u) = -6*u + 8. Let k(r) = -r - 1. Let o(d) = j(d) - 5*k(d). Let i(b) = -5*b**2 - 53*b + 2136. Let x be i(16). What is o(x)? 5 Suppose -6*l + 179 = 131. Let n(b) = 6*b**2 - 5*b**2 - 4 - l + 4 - 4*b. Determine n(7). 13 Let h(v) = -4*v - 10. Suppose -44*l - 77 = -33*l. Let x be (17/(-17))/((-1)/l) + 0. Give h(x). 18 Suppose 0*k - 2*z = -k + 1, 3 = -k + z. Let v(y) = y - 3. Let a(m) = -m + 2. Let d(t) = 4*a(t) + 3*v(t). Let b be d(k). Let s(i) = -2*i + 7. Give s(b). -5 Let z(w) = w**3 - w - 5. Let s(m) = -10*m**2 + 34*m - 1. Let i be s(3). Suppose -17*u = i*u + 3*u. What is z(u)? -5 Let c(y) = -10*y**2 - y - 1. Suppose -5*n = -k + 122, 0*k = -n - 4*k - 37. Let f = -20 - n. Suppose -f*q + 25 = 30. Determine c(q). -10 Suppose 0 = 7*m + 90 - 104. Let x(p) = -4*p - 46*p**2 + 48*p**2 + 5*p + 2*p - m*p**3 - p. Suppose 0 + 2 = -s. Calculate x(s). 20 Let i(c) = 48*c + 41*c - 154*c + 44*c + 5 - c**2 - 16. Determine i(-21). -11 Let u be 1/((-1)/(-3) - 535/1650). Let d be (-22)/u - 691*(-2)/10. Let v = 130 - d. Let r(p) = -p**3 - 7*p**2 + 9*p. Calculate r(v). -8 Let a(r) = -9*r - 139. Let m(g) = 8*g + 122. Let i(h) = -6*a(h) - 7*m(h). Calculate i(-6). -8 Let w(z) = 5*z + 60. Let l be w(0). Suppose 82*t = 92*t + l. Let v(r) = r**3 + 6*r**2 - 2*r + 3. Give v(t). 15 Let x(r) = r**3 - 7*r**2 - 5*r + 6. Let g be x(8). Suppose 13*k - g = 8*k. Let b(f) = f + k - 5 - 2 - 6. Determine b(7). 0 Let c(s) = s**2 - s - 2. Suppose 165*x - 162*x - 1644 = 0. Let u = -544 + x. Calculate c(u). 10 Let d(l) = 22*l + 2626*l**2 - 12*l - 2625*l**2 - 32*l + 24. Give d(20). -16 Let k(g) be the second derivative of -13*g**3/6 - 21*g**2/2 - 574*g. Determine k(-3). 18 Let r(p) = -4*p**2 - 10*p + 18. Let o(q) = -8*q**2 - 16*q + 34. Let z(y) = -3*o(y) + 5*r(y). Determine z(-2). 8 Let n be (0 - -1)*(86 - -4). Suppose 0 = 21*m - n - 36. Let a(u) = u**3 - 7*u**2 + 7*u + 3. Determine a(m). 9 Suppose 4*g - 19 = h, -27*g + 31*g - 24 = -4*h. Let c = 15 - 12. Let p(q) = -4 - c*q**3 - 1 + 2*q + 4. What is p(h)? -2 Let o be (5 - (0 + 8))*1. Let s(y) = 3*y**2 + 7*y - 1. Let g(f) = -7*f**2 - 16*f + 3
{ "pile_set_name": "DM Mathematics" }
+ c + a*s**2 + f*s**3 and give f. 53221 Rearrange -12 - 3540*a**2 + 52 - 17 - 25 to the form z*a**2 + f*a + s and give s. -2 Rearrange (-6 + 1 + 0)*(a + 44610 + a - 44360) to f + r*a and give f. -1250 Express 3*j**2 + 15*j**3 - 124 + 250 + 4*j + 4 - 126 in the form u*j + y*j**3 + k + d*j**2 and give d. 3 Rearrange -1 + 55*c - 5674*c + 952*c to t*c + o and give t. -4667 Rearrange 17*l**2 - 3*l**2 + 28385 - 28320 + l to b + o*l + g*l**2 and give o. 1 Rearrange 1642*s - 1278*s + 2751*s to l*s + d and give l. 3115 Express (r - r + 8*r)*(-152*r - 146*r + 79*r)*(-4 + 0 + 6) in the form y*r + t + k*r**2 and give y. 0 Rearrange -1839 + g - 1767 + 5461 + 0*g**2 - g**3 - 2*g**2 - 1777 to n + s*g + i*g**2 + q*g**3 and give i. -2 Express -129 + 14 - 3*t**2 - 95 - 12 in the form x*t**2 + r*t + a and give a. -222 Express (-3*c - c + 3*c)*(3*c + c - 5*c) + (-303*c - 421*c + 1241*c)*(0*c - 2*c - c)*(0 - 2 + 0) - 2 + 2 - 2*c**2 in the form u*c + o + q*c**2 and give u. 0 Rearrange (-574 + 43 - 889 - 193 - 2 - 3 + 7 + (-2 + 2 + 1)*(-1 + 4 + 1) - 4 + 1 + 4)*(-1 + 3 + 0)*(-5*c - c + 3*c) to d + b*c and give b. 9636 Express q - 8*q**4 - 2*q**4 + 2*q**4 + (564*q - 24*q**2 - 564*q)*(-q - 5*q**2 + 28 - 28) in the form y*q**2 + p*q + u*q**4 + c + k*q**3 and give k. 24 Rearrange -19*o + 58*o + 235 - 20*o - 17*o to f*o + m and give m. 235 Rearrange (10 - 3*x**3 - 10)*(25 + 28 - 9 - 3981*x - 44 + (-4 - 2 + 7)*(-1 + x + 1)) to the form r*x + b*x**3 + z*x**2 + u*x**4 + w and give u. 11940 Express (121 - 285 + 124)*(-1 + 0 + 2)*(-2*s**3 + 16*s**3 + 14*s**3) as i + o*s + w*s**3 + x*s**2 and give w. -1120 Express (-16 + 16 - 10*j**2)*(2*j**2 - j**2 + 61612 - 60873) in the form m*j + v*j**4 + z + o*j**3 + a*j**2 and give v. -10 Express (-3*q**2 - 2*q**2 + 4*q**2)*(-8 - 14136*q + 14005*q + 2) as s + f*q**2 + v*q**3 + t*q and give f. 6 Rearrange 2850631*k**2 - 2850631*k**2 - 47 - 180*k**3 to y*k**2 + d + x*k + u*k**3 and give d. -47 Rearrange 2846*j**2 - 7696*j**2 + 2726*j**2 to the form y + o*j**2 + h*j and give o. -2124 Rearrange 15*u - 12 - 56 + 8*u + 4*u - 11*u to f*u + x and give x. -68 Rearrange 17401286*u - 17401878*u + 2 - 17 to the form v*u + c and give c. -15 Rearrange (-899 - 982 - 733 - 1297)*(-4 + 3*j + 1 + j) to the form q + l*j and give l. -15644 Rearrange -13*l**3 + 48*l**2 - 9*l - 10*l**2 - l + 11*l**3 - 23*l to the form f*l**2 + a*l + r + w*l**3 and give f. 38 Rearrange (3*i - 4*i + 0*i)*(i - 5*i + i) + (-5 + 2 + 4)*(11 + 8 + 15)*(-4*i**2 - 3*i + 3*i) to t + a*i + u*i**2 and give u. -133 Rearrange 538*z**2 - 9 - 406146241*z + 406146241*z to a + c*z**2 + b*z and give a. -9 Express (-3*h + h + 0*h)*(5 + 0 - 4) + (-15 + 4 - 27)*(h + 4*h - 4*h) + (h + 2 - 2)*(0 - 4 + 2) - h - 1 + 1 as a*h + g and give a. -43 Express 622823*k**2 - 622823*k**2 + 303*k**3 + (-12 - 2*k**2 + 12)*(k + 0*k + 0*k) in the form z + w*k**3 + l*k**2 + v*k and give w. 301 Express 6*q**3 - 2*q**3 + q**4 - 99 - 80 + 2*q - q + 187 as t*q**4 + p*q**2 + i*q**3 + u + g*q and give t. 1 Rearrange 145*o - 4779*o + 1465*o - 3163*o to the form l + d*o and give d. -6332 Rearrange 88*m - 410*m**2 - 414*m**2 - 85*m to j*m**2 + h*m + c and give j. -824 Express (46*y**2 + 3*y**2 - 42*y**2 + 6)*(20*y + 5*y**2 - 20*y) + (0*y + 0*y + 2*y**4)*(-2 - 4 + 3) as s + j*y**3 + b*y**2 + d*y + u*y**4 and give b. 30 Rearrange 2*a + 4*a**2 - 2*a + a + (-587*a - 367*a - 229*a)*(-2*a - 4 + 4) to the form z*a**2 + s + y*a and give y. 1 Rearrange (2 - 2 - 3)*(x + 1 - 1)*(0*x - 3*x + 0*x)*(5 + 3 - 2)*(1503*x + 17*x**2 - 1503*x) to c*x + k*x**2 + b*x**3 + l + i*x**4 and give i. 918 Express -42499*s + 21141*s + 30 - 30 in the form t + k*s and give k. -21358 Rearrange -19 - 76*u + 15 + 148*u - 72*u + 539*u**2 to the form r*u + x*u**2 + o and give x. 539 Rearrange 5*h - 4*h**3 - 108*h**4 - 4*h + 102 - 50 - 50 + 7*h**3 to the form k*h**3 + r*h + o*h**2 + l*h**4 + s and give r. 1 Rearrange -72 + 238 - 74*x - 85 - 79 to w + s*x and give s. -74 Express 252 - 7*y - 128 + 40 + 232 in the form c*y + i and give i. 396 Rearrange 243*f**2 - 35*f + 3*f + 5 + 2 - 293*f**2 - 5 to the form m*f + q + z*f**2 and give q. 2 Rearrange (-230*q - 3 + 16 - 13)*((-5 - 1 + 5)*(3*q - 3*q - q) + 6*q + 178 - 178 + q + 3*q - 5*q) to the form v + b*q**2 + w*q and give b. -1380 Express -45*l**2 - 7964 - 4*l**2 + 7960 - 30*l**2 as j*l**2 + t + i*l and give t. -4 Rearrange -372*m + 372*m + 4 - 630*m**2 + 171*m**2 - 1 to c*m**2 + l + i*m and give l. 3 Express (-8 + 8 + 7)*(200 - 9*r - 200)*(0 - 5 + 3)*(2*r - 4*r + 3*r) as i*r**2 + h + a*r and give h. 0 Rearrange 167*w**2 + 174*w**2 - 341*w**2 - 135 + 4*w**3 to t*w + i + g*w**2 + k*w**3 and give k. 4 Express 274*s + 3331 - 1122*s - 3330 - 8682*s as g*s + d and give d. 1 Rearrange 0*v**3 + 2*v**4 + 0*v**3 + 2*v**3 + (133*v**2 + 142*v**3 - 133*v**2)*(-4 + 4 + 2*v) to the form u*v**4 + s*v**2 + z*v + h*v**3 + a and give h. 2 Rearrange (0*x + 0*x + 2*x)*(-1956*x - 5925*x - 9346*x - 15665*x) to the form j*x**2 + n*x + c and give j. -65784 Rearrange -2 + r**3 - 3*r + 6 - 4*r**2 - 3*r**2 + 5 - 7 + 7*r**4 to the form n*r**2 + s*r**4 + d + l*r**3 + q*r and give n. -7 Rearrange -6 - w - 3*w + w + (-204*w + 92*w - 215*w)*(-1 + 3 - 1) to the form r*w + t and give t. -6 Express 0 - 3 - 2*b - 5 + 18*b - 4*b**2 + 7 in the form r + w*b**2 + a*b and give r. -1 Rearrange (4*c**2 + c**2 - 6*c**2)*(3310 - 837*c - 3312 - 453*c) to the form w + z*c**3 + g*c**2 + q*c and give g. 2 Express 7*o + 143*o**2 + 4*o**3 - 73*o**2 + 2940*o**4 - 71*o**2 + 3 - 2941*o**4 in the form p*o**3 + i*o + t*o**4 + l + b*o**2 and give i. 7 Express (0*q - 4*q + 2*q)*(-3*q**2 - 2*q**2 + 3*q**2)*(1 - 2 + 2) - 39940 - 571*q**3 + 39940 as h*q + r*q**3 + z + a*q**2 and give r. -567 Rearrange 405*n + 5961*n - 1872*n + 5903*n to the form f*n + o and give f. 10397 Express -4*h - 2*h**3 + 19 + 7*h - 2*h**4 - 16 - 2*h in the form n*h**4 + z*h**3 + o*h + y + v*h**2 and give o. 1 Rearrange 91*t - 2*t**4 + 32*t - 122*t - 3858*t**2 to p + n*t**2 + w*t**4 + r*t + f*t**3 and give n. -3858 Express 39*i - 14048*i**3 - 8664*i**2 - 37*i + 14047*i**3 in the form r + n*i**3 + t*i + s*i**2 and give n. -1 Express -363*j**3 - 38*j - 9 + 2*j**2 + 10*j + 10*j + 365*j**3 in the form k*j + q + z*j**3 + o*j**2 and give z. 2 Rearrange -90*v**2 + 0*v**2 - 37*v**2 + (3*v + 13 - 13)*(-2*v - 3*v + 4*v) to n + d*v + u*v**2 and give d. 0 Rearrange (-2*i**3 - i**3 + i**3)*(0 - i + 0) - 317*i**4 - 353*i**2 + 353*i**2 to d*i + c*i**2 + k*i**3 + m + u*i**4 and give u. -315 Rearrange 0*n + 6*n - 8*n + (-5 + 3 + 4)*(3*n - 2*n - 2*n) + (-15 - 10*n + 15)*(-3 + 6 - 1)*(-2 - 2 + 12) to j + f*n and give f. -164 Express 2*t**3 + 6 - 68*t - 76*t + 1 - 67*t + 1 as v + b*t**2 + l*t + i*t**3 and give l. -211 Rearrange -1015*y**2 - 340*y + 338*y + 77*y**2 to j*y + q + r*y**2 and give j. -2 Rearrange (-6*u + 2*u - u)*(-1 + 9 + 1)*(-22 + 120 + 32) - 4*u + u + 2*u to k*u + c and give k. -5851 Rearrange 235*m + 8*m**2 - 429*m + 191*m to o*m**2 + l*m + t and give l. -3 Rearrange (59324 - 1303*r - 59324)*(-3*r**3 + r**3 - 3*r**3) to y + b*r**3 + q*r + g*r**4 + w*r**2 and give g. 6515 Rearrange (8 + 6527*i + 6423*i - 12882*i + (2 + 0 + 0)*(-2*i - 1 + 1))*(3 - 2 + 1)*(i**3 + 0*i**3 + i**3) to n + b*i**2 + j*i**3 + t*i + l*i**4 and give l. 256 Express -9*w - 241 + 13*w - 2*w - 5*w - w in the form f + t*w and give t. -4 Express 2940*r**2 - 15022*r**2 + 5156*r**2 - 10324*r**2 as t*r**2 + h*r + q and give t. -17250 Express -67*v**2 + 49*v**2 + 1 - 5*v**3 + 44*v + 17*v**2 - 2 in the form y*v**2 + o*v + f + b*v**3 and give f. -1 Express 1886*c**3 - 3900*c**3 - 2 + 1999*c**3 + c**2 + 15*c in the form x*c + f*c**2 + b + h*c**3 and give b. -2 Express (709*b**2 + 541*b**2 - 1555*b**2 + (-3*b + 4*b + 3*b)*(2*b - b - 6*b))*(2 + 0 - 3) in the form u*b + h*b**2 + r and give h. 325 Express -4*a + 4*a + 3*a**2 + (a - a - 2*a)*(2 - 2*a - 2) + 24*a**2 + 4*a**2 + 5*a**2 - 4*a - 2 + 4*a - a**2 + a as x + v*a + h*a**2 and give x. -2 Rearrange -34818*u + 64216*u - 49665*u to the form k + p*u and give p. -20267 Express 3*f**2 + 6*f**4 + 7021*f**3 - 7023*f**3 + 75 - 4*f**2 - 2*f**4 + 0*f**4 as i*f**3 + v*f**2 + y + z*f + o*f**4 and give o. 4 Rearrange -176*w**2 + 2*w**3 - 5*w**3 + 3*w**3 + 166*w**2 - w**3 - 11 + 3*w**4 to the form y*w**2 +
{ "pile_set_name": "DM Mathematics" }
5 + -3)/1. Let l be (3 + -1)*1*-1. Sort d, 4, l in descending order. 4, l, d Let c = 1.08 - -0.02. Let h = c + -0.1. Let a be (0 - 0)*(-1 - 0). Put -1/4, h, a in increasing order. -1/4, a, h Let o = -0.19 + 4.19. Let i = -0.01 + -0.39. Sort o, i, 1/5 in decreasing order. o, 1/5, i Let u = -55 - -391/7. Put -0.6, -5, u in increasing order. -5, -0.6, u Suppose -14*k = -16*k. Suppose h + 4 = 5*h. Sort k, -3, h in decreasing order. h, k, -3 Let a = 35 - 36. Let q(j) = -j**2 + 1. Let o be q(-2). Sort a, 4, o. o, a, 4 Suppose -2*w - 5 = 5*d - 6*w, 3*d + 30 = -3*w. Put 0, 4, d in descending order. 4, 0, d Let j = 7 + -7.2. Let l = j + 4.2. Sort -0.06, -1/3, l in descending order. l, -0.06, -1/3 Suppose -r + 11 = -0*a + 5*a, -5*a = 5*r + 25. Let y be 1 - r/((-54)/8). Let f(h) = h**2 + 4*h - 1. Let x be f(-3). Put 1, x, y in descending order. 1, y, x Let l(t) = 4*t + 4. Let a be l(5). Suppose 0 = 5*k + 2*r - a, k - 8 = -r - r. Let d(h) = -h**2 + 5*h + 11. Let v be d(7). Put 5, k, v in increasing order. v, k, 5 Let w = 1.3 + -0.3. Let v = 1.1 - w. Let g = -8 - -6. Sort v, 2/5, g in decreasing order. 2/5, v, g Let l(o) = o**3 - 8*o**2 - 9*o - 1. Let g(v) = -6*v**3 + 40*v**2 + 46*v + 4. Let q(n) = -2*g(n) - 11*l(n). Let f be q(-7). Sort 1/6, f, 0.1 in decreasing order. f, 1/6, 0.1 Let f be 0 + 1/(51/(-12) + 4). Put -3, f, -1 in increasing order. f, -3, -1 Let m = -0.04 - -5.04. Let h = 2.7 + 0.3. Sort h, -1/2, m in descending order. m, h, -1/2 Let d(i) = -i**3 + 7*i**2 - i + 5. Let y be d(7). Sort -4/5, y, 0.4 in decreasing order. 0.4, -4/5, y Let g(x) = -x**3 + 3*x**2 + x - 2. Let l be g(1). Put 0.4, l, -1/3 in decreasing order. l, 0.4, -1/3 Let i be -3*(-4)/(24/14). Suppose t + 5*p + 7 = -10, t - i = p. Suppose w - m = 0, 3*w - 2*w = 3*m. Put -2, t, w in descending order. t, w, -2 Let b be (-6 - 4/(-2))*-1. Suppose 4*c - 5*s = 15, -7*c + 3*c + 12 = -b*s. Suppose c = -4*u + 3*u - 4. Sort -0.4, -0.1, u. u, -0.4, -0.1 Let z = -0.2 + 0.4. Suppose -4 = -3*s - 4*g, 2 + 12 = 2*s - 3*g. Let k = s + -5. Put k, z, 2/19 in decreasing order. z, 2/19, k Let n be (-2 - 5/((-30)/26)) + -2. Sort 2, n, -1/6 in ascending order. -1/6, n, 2 Suppose -3*z - 2*h = -42, 3*z - 12 = z + 4*h. Suppose m + z = 5*m. Let k(u) = u**2 - 9*u + 5. Let i be k(8). Sort i, m, -1 in ascending order. i, -1, m Let u = -22 + 34. Suppose 8 = -5*h - u. Put 3, 0, h in ascending order. h, 0, 3 Let z = -0.6 - 3.4. Let w = -47 - -44.9. Let p = 0.1 + w. Put p, z, 1 in descending order. 1, p, z Let v be -3 + 57/21 + (-133)/49. Put v, 2, 12 in decreasing order. 12, 2, v Suppose -7 = q - 2. Let i(t) = t**2 - 8*t - 11. Let b be i(9). Sort b, 0, q in decreasing order. 0, b, q Let y = 29 + -25.27. Let v = 0.27 + y. Put -2/9, -0.03, v in increasing order. -2/9, -0.03, v Let a = -7.33 + -1.67. Sort -4, a, -3/2, 0 in descending order. 0, -3/2, -4, a Let a = -217/584 - 1/292. Let c = -34 - -34.3. Put c, 4, a in decreasing order. 4, c, a Let j(k) = k + 10. Let u be j(-8). Let h(z) = z**2 + 2*z - 3. Let s be h(u). Suppose 2*q - 3*i - 11 = 6, -s*i = -2*q + 27. Sort q, 0, 5 in descending order. 5, q, 0 Let q = 73.93 + -74. Let x = 4 + -9. Sort q, x, 0.1 in ascending order. x, q, 0.1 Suppose -204 = 4*g + 3*d, -6*d + d - 204 = 4*g. Let l be (g/24 - 0) + 2. Sort -5, l, -4/5 in descending order. l, -4/5, -5 Suppose 0*n = 3*n + 6. Let x be (n + (3 - 1))/(-2). Put x, -3, -4 in increasing order. -4, -3, x Let y = 90 + -92. Sort 4, y, -3, -1 in ascending order. -3, y, -1, 4 Let c be 2 - (-1)/(3/3). Suppose c*d + d = 0. Suppose d*k - 9 = -3*k. Sort -2, k, 2. -2, 2, k Let m(t) = t**3 - t**2 + t + 3. Let w be m(0). Suppose -4*o - w = -7. Sort o, -4, 4. -4, o, 4 Suppose -6 = 2*d, 2*t + 4*d = 2 - 10. Let f be (-1)/(-3) - (-2)/(-6). Let p = 1 - f. Sort p, t, -4. -4, p, t Let b(k) = -k**3 - k**2 + 1. Let c be b(0). Suppose -7 = -2*p - 3*u, 2*p - 2*u + 7 = -c. Suppose -2 = -4*h + 2*x, -4*h - x + 3 + 14 = 0. Sort p, -3, h. -3, p, h Let f = -21093 - -886063/42. Let s = -25/6 + f. Let d = -1.4 + 1. Sort s, d, -1/2. -1/2, s, d Let c = 1.96 - 1.56. Sort c, 5, -5. -5, c, 5 Let j = 10161174 + -15597403328/1535. Let t = -2/307 - j. Sort t, 2/7, 0.4 in decreasing order. t, 0.4, 2/7 Let i = 2/3381 - -219757/13524. Let s = -569/36 + i. Put 2, 3, s in increasing order. s, 2, 3 Let f = -20 - -22. Sort 3, -2, f. -2, f, 3 Let c(d) = -d**2 - 3*d + 5. Let x be c(-4). Let q = -6 - -10. Suppose -4*f = -2*t - 18, 0 = -2*t + f + 2*f - 15. Sort q, t, x in decreasing order. q, x, t Let b be -6 - 2/(3/(-3)). Let i = 3 + -2. Sort b, i, 3 in increasing order. b, i, 3 Let s(q) = q**2 - 4. Let t be s(2). Sort t, -0.4, -0.09, -4/3 in ascending order. -4/3, -0.4, -0.09, t Let t be ((-7)/(-14))/(15/12). Put 1, -4/3, t in descending order. 1, t, -4/3 Let l(h) = h**3 - 6*h**2 + h - 3. Let c be l(6). Let s be 40/18 + (-4)/18. Suppose -3*f + s = 5. Put c, f, 0 in descending order. c, 0, f Let o(i) = i**2 - 8*i + 4. Suppose 3*c - 14 = 2*a, -2*a - 3*a - 4*c = -11. Let p = 9 + a. Let x be o(p). Put x, -3, 1 in decreasing order. x, 1, -3 Suppose 0 = 2*i - 4*i. Let r be -1 - -2 - (-2 - i). Put 5, r, -5 in ascending order. -5, r, 5 Let t(j) = -j**2 + 2. Let a be t(0). Let f be 42/(-15) - 2/10. Let p be a/(-2) + f/(-1). Put 4, p, -3/2 in ascending order. -3/2, p, 4 Suppose 0*q - 6 = -2*q. Suppose -q*x + 14 = -2*x + 3*m, 2*m - 8 = -2*x. Let f = 10 - 7. Put f, x, 1 in decreasing order. f, 1, x Let n = -2 - -4. Suppose -3*o - 4*t = -2*o + 4, 0 = -n*o - 4*t. Put -3, -1, o in decreasing order. o, -1, -3 Let x be (12/(-16))/(2/(-8)). Suppose 5*k + 2*c - 19 = -c, -2*c = -6. Sort -5, x, k in increasing order. -5, k, x Let d be 2/4 - 10/12. Let q(m) = m**2 + m - 2. Let z be q(2). Let r be z/16*(3 + 1). Sort 3/2, d, r in descending order. 3/2, r, d Suppose -3*m - 9*u + 5*u = -20, m - 3*u = -15. Put 8, m, -5 in descending order. 8, m, -5 Let u = 4 + 1. Let s = 0 + 0. Sort u, -3, s in decreasing order. u, s, -3 Let g = 1.7 + -8.7. Let k = 6.7 + g. Let a = -0.2 - k. Sort 4, 2/3, a. a, 2/3, 4 Let n(w) = w**2 + 6*w - 4. Let p be n(-7). Suppose 5*o + 2*i + i - 4 = 0, 4*o - i - 10 = 0. Let d be (-3 - -1)*2 - -2. Sort d, o, p in ascending order. d, o, p Let s be ((-9)/6 - -1)/((-2)/(-4)). Put s, 1, -2 in increasing order. -2, s, 1 Let b(w) = w**3 - 4. Let m be b(0). Let u(n) = -n**3 - 23*n**2 - n - 21. Let x be u(-23). Sort 3, x, m in increasing order. m, x, 3 Suppose 0 = o + 3. Let k = -8.4 + 5.5. Let l = 1.1 - k. Sort -0.7, l, o in decreasing order. l, -0.7, o Let k = -0.4 - -1.4. Let j = -0.8 + k. Let d = j - -0.3. Put -2/7, -2, d in descending order. d, -2/7, -2 Let y = 1 - 0. Suppose 2*i = -5*k + 21, 0 = i - 6*k + k + 27. Let p = 13 + -14. Sort i, y, p in ascending order. i, p, y Let d be -1 + 1 - (7 + -4). Let t(c) = c - 1. Let i be t(-1). Sort i, d, -1 in increasing order. d, i, -1 Suppose -2*m = 5*w - 6*m - 46, 5*w - m - 34 = 0. Let k be 1/3 + 36/(-27). Let a be k + (w/(-14) - -2). Put 2, a, 5 in decreasing order. 5, 2, a Let d be -5*((-12)/10)/(-1). Let g be -2*15/d - 3. Suppose -1 - g = 3*a. Put 5, a, -2 in descending order. 5, a, -2 Let u be 4/(-18)*-2 - 7/21. Put 3, u, 11 in descending order. 11, 3, u Suppose -3*z = -2*z + 3, 5*i + 2*z = -21. Put 3, 1, i, 4 in descending order. 4, 3, 1, i Let z = -2.4 + 3.8. Let r = 1.2 - z. Let x = -11 + 15. Sort r, -1/9, x in descending order. x, -1/9, r Let r = -67 + 68. Sort r, -2, -4 in descending order. r, -2, -4 Let w = 0.5 + -0.1. Let g = -0.3 + w. Let y = -2 + 5. Sort 1, y, g in decreasing order. y, 1, g Let m = 3.1 + -3. Put -1, m, -1/7 in decreasing order. m, -1/7, -1 Suppose -4*x + 5 = -3*x. Let z be 13/(-65) + (-9)/x. Let q be (2 + 0 - -2)/1. Put q, 5, z in decreasing order. 5, q, z Let h = -81 + 83. Sort -4/9, 1/7, h in descending order. h, 1/7, -4/9 Suppose -3 = m - 4*c - 0*c, -23 = -5*m + c. Let s = -145 - -149. Put -2, m, s in increasing order. -2, s, m Let l be (-1 - -3)/2*1. Let i(z) = 2*z + 3. Let w be i(-3). Let u = 1 - 1. Sort w, u, l. w, u, l Let m = 13.1 + -10.9. Sort -1, -2/9, m in descending order. m, -2/9, -1 Suppose -q - 3*r = -14, 6*r - 18 = q + r. Let m be q + (-15)/(-9)*-1. Let h = 0.5 - 0.7. Put m, h, 5 in ascending order. h, m, 5 Let x be ((-57)/12)/1 - 2/8. Let o(k) = -k**2 + 6*k. Let d be o(6). Put 6, x,
{ "pile_set_name": "DM Mathematics" }
prime factors of 296011. 296011 List the prime factors of 920016. 2, 3, 6389 List the prime factors of 5972819. 181, 32999 List the prime factors of 37312827. 3, 19, 654611 What are the prime factors of 7047364? 2, 83, 21227 List the prime factors of 119387. 277, 431 List the prime factors of 326113. 326113 List the prime factors of 5111448. 2, 3, 89, 2393 What are the prime factors of 1004440? 2, 5, 25111 What are the prime factors of 12838763? 7, 1834109 What are the prime factors of 5969827? 5969827 List the prime factors of 314514. 2, 3, 101, 173 List the prime factors of 185455. 5, 29, 1279 What are the prime factors of 210819? 3, 7, 10039 List the prime factors of 1415404. 2, 431, 821 List the prime factors of 225777. 3, 17, 19, 233 What are the prime factors of 2208390? 2, 3, 5, 73613 List the prime factors of 949192. 2, 59, 2011 List the prime factors of 4011705. 3, 5, 59, 1511 List the prime factors of 1559458. 2, 89, 8761 What are the prime factors of 14905829? 2767, 5387 What are the prime factors of 7012754? 2, 7, 500911 What are the prime factors of 3905327? 3905327 List the prime factors of 10805411. 10805411 What are the prime factors of 518137? 518137 What are the prime factors of 1346037? 3, 7, 11, 5827 What are the prime factors of 1439163? 3, 11, 14537 List the prime factors of 57171. 3, 17, 19, 59 List the prime factors of 288276. 2, 3, 24023 What are the prime factors of 11111868? 2, 3, 308663 What are the prime factors of 4000904? 2, 500113 List the prime factors of 26484104. 2, 97, 34129 What are the prime factors of 256019? 256019 List the prime factors of 32209783. 211, 293, 521 List the prime factors of 1862043. 3, 199, 3119 What are the prime factors of 1862258? 2, 931129 List the prime factors of 6148431. 3, 683159 List the prime factors of 60828. 2, 3, 37, 137 List the prime factors of 59631. 3, 11, 13, 139 List the prime factors of 1162165. 5, 232433 List the prime factors of 667335. 3, 5, 17, 2617 List the prime factors of 1099637. 7, 11, 14281 List the prime factors of 2410845. 3, 5, 160723 List the prime factors of 9801722. 2, 7, 421, 1663 List the prime factors of 3880481. 11, 352771 List the prime factors of 5877106. 2, 61, 67, 719 List the prime factors of 691510. 2, 5, 69151 What are the prime factors of 135599? 135599 What are the prime factors of 460603? 11, 13, 3221 What are the prime factors of 592785? 3, 5, 4391 List the prime factors of 1050209. 17, 163, 379 What are the prime factors of 131031? 3, 23, 211 What are the prime factors of 4840175? 5, 193607 List the prime factors of 5623268. 2, 7, 47, 4273 List the prime factors of 42273. 3, 7, 11, 61 List the prime factors of 107635. 5, 11, 19, 103 List the prime factors of 256248. 2, 3, 3559 What are the prime factors of 1819219? 367, 4957 List the prime factors of 985700. 2, 5, 9857 What are the prime factors of 557295? 3, 5, 53, 701 List the prime factors of 49266. 2, 3, 7, 17, 23 What are the prime factors of 18117? 3, 11, 61 List the prime factors of 1294801. 73, 17737 What are the prime factors of 1194643? 23, 51941 What are the prime factors of 269064? 2, 3, 37, 101 List the prime factors of 786224. 2, 49139 What are the prime factors of 797482? 2, 7, 56963 What are the prime factors of 595892? 2, 11, 29, 467 What are the prime factors of 7764711? 3, 19, 136223 What are the prime factors of 1860310? 2, 5, 17, 31, 353 What are the prime factors of 1352293? 1352293 What are the prime factors of 359250? 2, 3, 5, 479 List the prime factors of 10525540. 2, 5, 43, 12239 What are the prime factors of 1449767? 11, 131797 List the prime factors of 29953240. 2, 5, 748831 What are the prime factors of 334064? 2, 20879 List the prime factors of 11573397. 3, 11, 116903 What are the prime factors of 649716? 2, 3, 29, 1867 List the prime factors of 7493179. 61, 122839 What are the prime factors of 351202? 2, 175601 What are the prime factors of 14576838? 2, 3, 19, 127867 List the prime factors of 3490703. 3490703 What are the prime factors of 6147464? 2, 71, 79, 137 What are the prime factors of 474540? 2, 3, 5, 11, 719 What are the prime factors of 520529? 520529 List the prime factors of 150009. 3, 31, 1613 List the prime factors of 451196. 2, 112799 List the prime factors of 981310. 2, 5, 11, 811 List the prime factors of 836698. 2, 418349 What are the prime factors of 3205646? 2, 1602823 What are the prime factors of 629768? 2, 78721 What are the prime factors of 374624? 2, 23, 509 What are the prime factors of 1719876? 2, 3, 331, 433 List the prime factors of 92570. 2, 5, 9257 List the prime factors of 400668. 2, 3, 173, 193 What are the prime factors of 15674? 2, 17, 461 What are the prime factors of 239433? 3, 79811 List the prime factors of 1615123. 43, 37561 What are the prime factors of 22963158? 2, 3, 17, 101, 743 List the prime factors of 268668. 2, 3, 17, 439 What are the prime factors of 2278888? 2, 127, 2243 List the prime factors of 21791. 7, 11, 283 What are the prime factors of 451620? 2, 3, 5, 13, 193 What are the prime factors of 999050? 2, 5, 13, 29, 53 List the prime factors of 20896736. 2, 7, 13327 List the prime factors of 145344. 2, 3, 757 List the prime factors of 138731. 138731 List the prime factors of 2581. 29, 89 List the prime factors of 32764721. 11, 19, 37, 223 List the prime factors of 16757750. 2, 5, 17, 3943 List the prime factors of 265212. 2, 3, 53, 139 What are the prime factors of 230172? 2, 3, 19181 What are the prime factors of 8514069? 3, 2838023 List the prime factors of 615152. 2, 38447 List the prime factors of 869126. 2, 434563 What are the prime factors of 68155? 5, 43, 317 What are the prime factors of 2375206? 2, 17, 69859 What are the prime factors of 2318944? 2, 72467 What are the prime factors of 8951128? 2, 19, 58889 What are the prime factors of 23520022? 2, 47, 53, 4721 What are the prime factors of 28041522? 2, 3, 853, 5479 List the prime factors of 13954. 2, 6977 List the prime factors of 1041681. 3, 347227 List the prime factors of 52646. 2, 11, 2393 List the prime factors of 315844. 2, 281 What are the prime factors of 746591? 113, 6607 What are the prime factors of 226735? 5, 137, 331 List the prime factors of 949602. 2, 3, 101, 1567 What are the prime factors of 445866? 2, 3, 74311 What are the prime factors of 531693? 3, 59077 What are the prime factors of 4694009? 43, 173, 631 What are the prime factors of 134901? 3, 13, 1153 List the prime factors of 9292054. 2, 71, 65437 List the prime factors of 828589. 67, 83, 149 List the prime factors of 1098396. 2, 3, 13, 2347 List the prime factors of 13808929. 47, 229, 1283 List the prime factors of 26925135. 3, 5, 1795009 List the prime factors of 2530064. 2, 158129 What are the prime factors of 100804? 2, 11, 29, 79 List the prime factors of 33735551. 59, 571789 List the prime factors of 5529316. 2, 13, 113, 941 What are the prime factors of 52036? 2, 13009 List the prime factors of 294028. 2, 7, 10501 What are the prime factors of 1103588? 2, 275897 List the prime factors of 157103. 157103 List the prime factors of 5274725. 5, 101, 2089 What are the prime factors of 416896? 2, 3257 List the prime factors of 7347368. 2, 7, 131203 List the prime factors of 9686489. 37, 389, 673 What are the prime factors of 179995? 5, 35999 List the prime factors of 189388. 2, 113, 419 List the prime factors of 10884034. 2, 7, 777431 What are the prime factors of 901480? 2, 5, 31, 727 What are the prime factors of 23772? 2, 3, 7, 283 List the prime factors of 2061110. 2, 5, 79, 2609 What are the prime factors of 7511788? 2, 113, 16619 What are the prime factors of 3016284? 2, 3, 157, 1601 What are the prime factors of 119232? 2, 3, 23 What are the prime factors of 2493736? 2, 7, 44531 List the prime factors of 174554. 2, 87277 List the prime factors of 1615948. 2, 127, 3181 List the prime factors of 126105. 3, 5, 7, 1201 What are the prime factors of 9380550? 2, 3, 5, 23, 2719 What are the prime factors of 1791057? 3, 83, 7193 What are the prime factors of 280995? 3, 5, 11, 13, 131 What are the prime factors of 1295181? 3, 143909 What are the prime factors of 741116? 2, 41, 4519 What are the prime factors of 1154698? 2, 577349 List the prime factors of 149415. 3, 5,
{ "pile_set_name": "DM Mathematics" }
f q and i. 220 Suppose -4*g + 18*g = 350. What is the smallest common multiple of 10 and g? 50 Calculate the lowest common multiple of 12 and (-4)/(-26) + (-640)/(-65). 60 Let c = 10 + 8. What is the lowest common multiple of 27 and c? 54 Let c = 322/15 + 77/60. Calculate the common denominator of c and -61/32. 32 Suppose 2*c - 17 - 13 = 0. Let b be -2*(3 - -2) + 1. Let m = c + b. Calculate the least common multiple of 9 and m. 18 Let i = 5/239 - 7225/2629. Find the common denominator of i and 52/5. 55 Let j(u) = -5*u + 10. Let b be j(-5). Suppose 3*k = -2*k + b. What is the lowest common multiple of k and (0 + (-4)/(-6))*12? 56 Let a = -241474/35217 + -2/5031. Calculate the common denominator of a and -93/4. 28 Find the common denominator of (-4)/22*(-32 + 11) and -20/19. 209 What is the smallest common multiple of 9 + -4 - (-3 + -1) and 4? 36 Let s = 528 + 56. Let f = -9341/16 + s. Find the common denominator of -97/6 and f. 48 Suppose 0 = -7*v + 1284 - 248. What is the smallest common multiple of 4 and v? 148 Suppose 0 = -3*z + 5*z + 10, -3*p = -2*z - 19. Calculate the smallest common multiple of p and 9. 9 Let z = 158 - 607/4. What is the common denominator of 10/17 and z? 68 Suppose 56 = 5*u + 181. What is the common denominator of (2 + 46/u)*-55 and 6/17? 85 Let d(v) = -v + 22. What is the smallest common multiple of d(8) and 26? 182 Let x be 2/(3 + -1) - 19. Calculate the common denominator of x/15*375/20 and 27/8. 8 Let i = 8 + -1. Let d = 17 - i. What is the smallest common multiple of (-1)/2 - d/(-4) and 5? 10 Let c = 28 - 12. Suppose 3*u + 2*g = -2*g, -3*u = g + 9. Calculate the smallest common multiple of 62/8 + (-1)/u and c. 16 Suppose n = 8 + 2. Suppose -25 = -5*x - n. Calculate the lowest common multiple of 8 and x. 24 Let a = -127 + 137. Calculate the least common multiple of a and 94. 470 Let o = 18 + 0. What is the lowest common multiple of o and 22? 198 Let v(r) = 2*r + 10. What is the lowest common multiple of 24 and v(4)? 72 Let r(v) be the third derivative of v**5/60 + v**4/4 - 2*v**3/3 - 3*v**2. Let j be r(-7). Let o = j + 0. Calculate the smallest common multiple of o and 2. 6 Let r = 28792802/9 - 3202765. Let a = 3571 + r. What is the common denominator of -67/2 and a? 18 Suppose 2*n + 57 = -5*l, 3*n + 68 = -0*n - 4*l. Calculate the common denominator of 101/10 and (-26)/n*196/21. 30 Suppose 4*b = 3*u - 12, 0*u = u. Let h = 3896/209 - 330/19. Calculate the common denominator of 19/(-9) + (b - -4) and h. 99 Suppose -t = 6*t - 21. What is the smallest common multiple of 27 and t? 27 Suppose -5*g = -5*z + 5, -6*z + 7 = -5*g - 2*z. Let p(q) = -25*q - 7. Let f be p(5). What is the common denominator of -27/8 and 135/f - g/12? 88 Let j(p) = 5*p - 14. Let k be j(4). Let v(l) = 21*l - 3. Let n be v(3). What is the common denominator of -77/6 and 37/n - 4/k? 60 Let j(w) = 7*w + 2. Suppose 3*u + 4*n - 6 = -2*u, 5*u - 3*n - 13 = 0. Suppose -u*a = a - 18. Calculate the least common multiple of a and j(2). 48 Let k = 5869/6 + -985. What is the common denominator of k and -3/20? 60 Let b = 11 - 19. What is the common denominator of (-21)/(-30) - 2/b and 4/(-30)*695/12? 180 Find the common denominator of -1 + -3 + (-644)/(-80) and 138/(-28) + (-1)/1. 140 Let y be (-2)/(2 - 1) - -84. What is the lowest common multiple of 10 and y/26 - 4/26? 30 Calculate the common denominator of -7/4 and ((-3)/42)/(6/244). 84 Let i = -9407/2090 + 26/95. What is the common denominator of 113/6 and i? 66 Calculate the common denominator of -103/24 and 5/400*165/2*3. 96 Let h be (-23364)/7 + (-5)/(105/6). Let q be -2 - (-20123)/(-6)*-1. Let y = h + q. What is the common denominator of -47/2 and y? 6 Suppose 70 = 4*k + k. Suppose 0*o - 5 = 5*o. What is the smallest common multiple of 123/12 + o/4 and k? 70 Let n = 1326 + -1863. Let y be (-5)/(-7)*(2 + -763). Let h = y - n. What is the common denominator of h and -42? 7 Let x(i) = -i**3 + 9*i**2 - 4*i - 10. Calculate the smallest common multiple of x(5) and 14. 70 Suppose 0*n - 224 = -n - 2*z, 1135 = 5*n + 5*z. Find the common denominator of -1 + 2 - n/36 and 33/2. 18 Let n(k) = -k**3 + 4*k**2 + 5*k + 2. Suppose 16*i + 60 = 31*i. What is the least common multiple of i and n(5)? 4 Let q be (-47 - 0) + 1 + 1. Let j be ((-4)/6)/(6/q). Suppose -5*l + 40 = j. Calculate the least common multiple of 10 and l. 70 Suppose 3*k - 30 = -5*j, -2*j - 4*k = 3*j - 35. Suppose -q + 4 = j*q. What is the common denominator of 302/36 + (-2)/q and 23/22? 198 Let y = 37 - 15. Calculate the smallest common multiple of y and 6. 66 Let h = 114 - 96. Calculate the smallest common multiple of h and 12. 36 Let p be (327*3)/((-21)/(-14)). Calculate the lowest common multiple of p/33 - 8/(-44) and 20. 20 Suppose 4*h = 4, -3*h + 2 + 33 = 4*o. What is the lowest common multiple of 37 and o? 296 Let h = -1769 + 14179/8. Calculate the common denominator of h and 9/18 + 25/18. 72 Suppose 13 - 1 = 2*m. Calculate the lowest common multiple of 20 and m. 60 Let o = -208 + -34. Calculate the common denominator of -9/14 and 2/11 + 3069/o. 14 What is the common denominator of 62/(-8)*(-6 + 0) and (-2)/5 - 968/180? 18 Let s be 2/(-7) + (-325)/(-35). Let n = -9 + 21. Calculate the smallest common multiple of n and 3*22/s*3. 132 Let r(q) = -6*q. Calculate the lowest common multiple of (-3)/((-27)/(-60)*2/(-3)) and r(-3). 90 Let m be -2 - 1*28/2. Let b(q) = -q**3 + q**2 + 4*q + 4. Let f be b(4). Let t = m - f. Calculate the smallest common multiple of 8 and t. 24 Suppose -29*j = -34*j + 110. Calculate the lowest common multiple of j and 12. 132 Let u = 3 + -5. Let m be u/(-3) - 13/(-3). Suppose 10 + 5 = m*l. What is the least common multiple of l and 8? 24 Suppose 3*t + 6 = 6*t. Find the common denominator of ((-3)/t)/((-18)/33) and ((-1)/(1/(-115)))/6. 12 Let v be -1 - (2 + 1 + -2). Let p = -64163/3948 + 2/987. Find the common denominator of p and 57/36 - v/(-6). 4 Suppose 2*u + 3*u = -455. Find the common denominator of (12/21)/(18/u) and (-9)/30*97/(-3). 90 Let g be 1 - 1/(2 - 1). Suppose -d - 3*d - 220 = g. What is the common denominator of d/12 - 2/(-4) and 93/2? 12 Calculate the common denominator of 5/((-70)/(-4)) + (-27)/42 and (-670)/(-12)*1/10. 84 Suppose 2*u - 4*u - 2 = 0. What is the common denominator of 0 - u*(-73)/(-10) and 1 - (-1 + (-98)/(-22))? 110 Let y be (10/40)/((-3354)/(-16)). Let g = y - 95597/6708. Let z = -345515/18 + 19202. Find the common denominator of z and g. 36 Suppose 2*o - 2 = -3*d, -5 - 1 = -2*o - 2*d. Let r = o + -5. Find the common denominator of r - 2/((-44)/(-79)) and 13/6. 66 Let t = -8 - -28. Suppose 19 + 16 = 2*h - y, -3*y = 4*h - 95. What is the smallest common multiple of h and t? 20 Suppose -5*y + 32 + 98 = 0. Calculate the smallest common multiple of y and 11. 286 Let b be (-2)/8 + 194/8. Suppose -j = j - b. Calculate the smallest common multiple of j and 4. 12 Suppose -w - 8*s = -3*s + 17, 0 = -s + 1. Let r = -11 - w. Calculate the least common multiple of 10 and r. 110 Let o be (-597)/(-2) - 1*-1. Let g = o + -308. Calculate the common denominator of g and (5/((-200)/(-5)))/(2/110). 8 Suppose -2*f + 3 = -7. Suppose -5*v = -5*q + 55, -f*v + 8 = 3*q - 33. Find the common denominator of -16/5 and (-96)/(-63)*q/8. 35 Let o = 46 + -32. What is the smallest common multiple of o and 20? 140 Let w = -86 - -297/4. Calculate the common denominator of w and 11/20. 20 Let n be (-3)/((-9)/6)*-2. Find the common denominator of (252/100)/(n/10) and -83/12. 60 Calculate the smallest common multiple of 3*-5*2/(-5) and 2. 6 Let g(a) = 7*a**2 - 11 - a**3 + 1 + 4*a + 2*a. Let o be g(7). Suppose -5*s = -o + 12. Calculate the smallest common multiple of 6 and s. 12 Let f(s) = s + 14. Let i be f(-10). Suppose 2*u - i = 2. Suppose -46 + 16 = -u*z. What is the smallest common multiple of z and 2? 10 Let l be 6/16061*1/3. Let h = 267911/2536705 + 284258972713/162968076020. Let g = l + h. What is the common denominator of g and -11/18? 180 Suppose -106 + 10 = -4*u. Let o = u - 10. Calculate the lowest common multiple of o and 7*1*(-48)/(-28). 84 Let h(q) = q**2 + 10*q + 11. Let u be (-21)/2 + (-1)/(-2). What is the least common multiple of 2 and h(u)? 22 Let s = 383/2 + -161. Suppose -5*g - c - 30 = 2*c, 12 = -2*g + 3*c. Find
{ "pile_set_name": "DM Mathematics" }
2)*-2). 24*sqrt(17) Simplify sqrt(1872)*-2 + (5*sqrt(78)/sqrt(6) + sqrt(13))**2 + 0. -24*sqrt(13) + 468 Simplify (sqrt(60)/sqrt(5))**2*-5. -60 Simplify sqrt(187)/(sqrt(132)/(sqrt(12)*3)). 3*sqrt(17) Simplify (1 + sqrt(128) + 0 + -3 + 2)**2. 128 Simplify (sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136)*1*3 + sqrt(136))/((-2*sqrt(64))/sqrt(8)). -5*sqrt(17) Simplify (-1 + (4 + -1 + sqrt(171) - -6*1*sqrt(171)))**2. 84*sqrt(19) + 8383 Simplify (sqrt(720) + 1 + 3 - (-3 + sqrt(720) + 1))**2. 36 Simplify -1*sqrt(637) - (1 + sqrt(1053))**2. -1054 - 25*sqrt(13) Simplify (sqrt(539) - -5*(0 + sqrt(539))) + -4 + 1. -3 + 42*sqrt(11) Simplify 6*(sqrt(125) + -1)**2. -60*sqrt(5) + 756 Simplify (6*(-3 + sqrt(275)))**2. -1080*sqrt(11) + 10224 Simplify ((1 + sqrt(2299))*-6)**2 - (1*sqrt(2299) + -3 - sqrt(2299))**2. 792*sqrt(19) + 82791 Simplify ((sqrt(78)/sqrt(2)*-1 - sqrt(39)) + sqrt(39))/sqrt(3). -sqrt(13) Simplify -5*(sqrt(5) + (1 + sqrt(720))**2 - (sqrt(5) + 0)*4)*-6. 630*sqrt(5) + 21630 Simplify (-5*(sqrt(363) + 3))**2. 1650*sqrt(3) + 9300 Simplify (sqrt(2) + 4 + 5 + sqrt(2))*-1. -9 - 2*sqrt(2) Simplify -2*(sqrt(931) + sqrt(931) + (1*(0 + sqrt(931)))**2 + sqrt(931))*1. -1862 - 42*sqrt(19) Simplify ((sqrt(51) - (sqrt(4131) + sqrt(4131) + sqrt(4131)*-2))/(sqrt(3) - (sqrt(3) + (sqrt(3)*-2 + sqrt(3))*-4)))**2. 17/16 Simplify sqrt(19) + 1*(sqrt(475))**2 + (sqrt(76) + sqrt(76) + (sqrt(76) - (3*sqrt(76) + sqrt(76) - sqrt(76))))/sqrt(4). sqrt(19) + 475 Simplify 1 + ((sqrt(13) - (sqrt(13) + 0))*3 - (sqrt(13) + sqrt(832)*-1))**2. 638 Simplify ((-2*sqrt(245) + 5 - -6*sqrt(245)*-2)*3)**2. -8820*sqrt(5) + 432405 Simplify -4*(-1 + (sqrt(16)/sqrt(2))/sqrt(4)). -4*sqrt(2) + 4 Simplify (sqrt(833) + (sqrt(833) - -2*5*sqrt(833)) + sqrt(833))**2. 140777 Simplify -2 + sqrt(700)*-1. -10*sqrt(7) - 2 Simplify (sqrt(11) + 1 + sqrt(275) + sqrt(11))**2 + (sqrt(99)*1 - sqrt(11)) + -3. 16*sqrt(11) + 537 Simplify sqrt(7) + sqrt(14)/(sqrt(2)*2) + -2 + 2*sqrt(7). -2 + 7*sqrt(7)/2 Simplify (sqrt(85)*1)/sqrt(5) + 4. 4 + sqrt(17) Simplify -1*(4*(sqrt(162) - (sqrt(162) + -2*sqrt(162))**2) + 5). -36*sqrt(2) + 643 Simplify -2*sqrt(1872)*6 - sqrt(1872). -156*sqrt(13) Simplify 0 + -5 + (0 + sqrt(11))**2. 6 Simplify (5*(sqrt(700) + -2))**2 + 5. -1000*sqrt(7) + 17605 Simplify (sqrt(605) - (0 + sqrt(605) - sqrt(605))) + -1. -1 + 11*sqrt(5) Simplify -3 + ((sqrt(396) - sqrt(396)*-2) + sqrt(396))*-6 + -4. -144*sqrt(11) - 7 Simplify (sqrt(5)*-2 + sqrt(5))*2 - (sqrt(5) + (sqrt(5) - (sqrt(55)/(sqrt(11)*2))**2)). -4*sqrt(5) + 5/4 Simplify 4 + sqrt(162)*1. 4 + 9*sqrt(2) Simplify (sqrt(4598)*-5)/sqrt(2). -55*sqrt(19) Simplify 3*(((sqrt(104)*-2)/sqrt(4))/sqrt(2) + 3)**2. -36*sqrt(13) + 183 Simplify (-4 + sqrt(5) + -1 + sqrt(5) + 1)**2*1. -16*sqrt(5) + 36 Simplify (2 + (sqrt(133) + 2*(sqrt(133) - -1*sqrt(133)))/(sqrt(112) + sqrt(112)*1))**2. 5*sqrt(19)/2 + 731/64 Simplify 3 + 2*sqrt(3) - (3 + (0 + sqrt(3))**2). -3 + 2*sqrt(3) Simplify -1*(sqrt(18) + sqrt(72)/sqrt(4)). -6*sqrt(2) Simplify (sqrt(140)/(sqrt(60)/sqrt(6)))/sqrt(7)*-6. -6*sqrt(2) Simplify 0 + (sqrt(539)*1)**2*1. 539 Simplify ((sqrt(228) - (sqrt(228) - (sqrt(228) + 3*sqrt(228)*-3))) + sqrt(228))/sqrt(12). -7*sqrt(19) Simplify 2*((sqrt(20)/(sqrt(30)/sqrt(3)) + sqrt(8)/(1*sqrt(4)))**2 + 5). 26 Simplify (sqrt(3) + -6*sqrt(3))*-3 - (sqrt(12) + 4 - sqrt(3)). -4 + 14*sqrt(3) Simplify (sqrt(350)*-6)/(sqrt(96)/sqrt(3)). -15*sqrt(7)/2 Simplify -1 + (sqrt(896)*3)/sqrt(2). -1 + 24*sqrt(7) Simplify (sqrt(27)/sqrt(9)*5)**2 + sqrt(3) + (sqrt(6)/sqrt(2) - sqrt(3)) + 5. sqrt(3) + 80 Simplify -1 + -2*(sqrt(102)/sqrt(6) + sqrt(17))**2. -137 Simplify 1 + 3*(sqrt(3) + 5). 3*sqrt(3) + 16 Simplify (-2 + 2 + sqrt(1584))**2 + 2. 1586 Simplify (-3*(sqrt(65) - -2*sqrt(65)))/(6*(sqrt(5) - sqrt(5)*-2)). -sqrt(13)/2 Simplify (sqrt(363)*-2 + sqrt(363) - sqrt(363) - sqrt(363))*-5 - (sqrt(363) + (sqrt(363) - (sqrt(363) + sqrt(363) + 1)))*-4. -4 + 165*sqrt(3) Simplify 4 + (sqrt(204)/sqrt(1452))**2. 501/121 Simplify ((sqrt(136)*-1)/(4*sqrt(18)))**2. 17/36 Simplify 0 + (1*sqrt(1100)*-2 + sqrt(1100) + 1 + 0)**2. -20*sqrt(11) + 1101 Simplify -1*sqrt(300)*5. -50*sqrt(3) Simplify 1 + -3*sqrt(44)*-1. 1 + 6*sqrt(11) Simplify (sqrt(5) - sqrt(30)/(sqrt(6) + sqrt(24)))**2 + 0 + -2 + sqrt(5). 2/9 + sqrt(5) Simplify (sqrt(1425)*6)/sqrt(3)*4. 120*sqrt(19) Simplify (-1*sqrt(153)*5 + sqrt(153) - sqrt(153))/sqrt(9). -5*sqrt(17) Simplify sqrt(85)/(sqrt(180) - (sqrt(180) - (sqrt(180) - sqrt(180)*3 - sqrt(180)))). -sqrt(17)/18 Simplify 4 + sqrt(68) + 1. 5 + 2*sqrt(17) Simplify (sqrt(162)*-1)/((sqrt(18) - sqrt(162))/sqrt(2)). 3*sqrt(2)/2 Simplify -5 + sqrt(68)/(1*sqrt(4)). -5 + sqrt(17) Simplify (-3*sqrt(133))/sqrt(7)*2. -6*sqrt(19) Simplify (sqrt(180) + sqrt(180)*1)/(sqrt(4) - (sqrt(4) + (sqrt(4) - (sqrt(4) + (sqrt(4) - (sqrt(400) - (sqrt(400) - 1*sqrt(400)) - sqrt(400) - sqrt(4))))))). 3*sqrt(5) Simplify (-3*(-4 + sqrt(117)))**2. -216*sqrt(13) + 1197 Simplify -5 + (((sqrt(32)/sqrt(4) - sqrt(8))*-6)/(sqrt(44)/sqrt(44)))**2. -5 Simplify (4*sqrt(32)/sqrt(2))/(sqrt(48)/(sqrt(96) - sqrt(6))). 12*sqrt(2) Simplify (0 + ((sqrt(99))**2 - sqrt(11)) + -6*sqrt(176))*5. -125*sqrt(11) + 495 Simplify (5*(sqrt(2) - (sqrt(2) + -1)))**2 + 4. 29 Simplify (-2 + -1 + sqrt(7) - (sqrt(28)/sqrt(4))**2*-2)*-1. -11 - sqrt(7) Simplify (sqrt(27) - (2 + sqrt(27)))*5. -10 Simplify -3 + (sqrt(11) - (3*sqrt(11))**2) - (sqrt(66) - sqrt(66)*3)/sqrt(6). -102 + 3*sqrt(11) Simplify -2*(1 + (sqrt(153) - sqrt(153)*1)). -2 Simplify (0 + sqrt(76) - sqrt(19)) + sqrt(38)/(sqrt(2) - sqrt(18)). sqrt(19)/2 Simplify -5*(sqrt(6050) + 3). -275*sqrt(2) - 15 Simplify (((0 + sqrt(1728))*4 + sqrt(1728) - sqrt(1728)) + -3)**2. -576*sqrt(3) + 27657 Simplify 5 + sqrt(19) + sqrt(95)/sqrt(5) + -3. 2 + 2*sqrt(19) Simplify (sqrt(567)/(sqrt(9)*1))**2. 63 Simplify sqrt(209)/(sqrt(99)*1 - sqrt(11)) + ((sqrt(38) - (sqrt(266)/(sqrt(28)/sqrt(4)) - sqrt(38)))/sqrt(2))**2. sqrt(19)/2 + 19 Simplify -6*(2 + sqrt(153) + 0). -18*sqrt(17) - 12 Simplify (sqrt(8640) - sqrt(8640)*2)/((sqrt(48)*3)/sqrt(4)). -4*sqrt(5) Simplify (-5 + (sqrt(684) - 3*sqrt(684)))**2. 120*sqrt(19) + 2761 Simplify (sqrt(833) + 2 + sqrt(833) + -5)**2 - (1 + 1 + sqrt(833)). -91*sqrt(17) + 3339 Simplify 0 + ((5*-2*sqrt(10))/sqrt(2))**2*-5. -2500 Simplify (4 + sqrt(320)/sqrt(10))**2. 32*sqrt(2) + 48 Simplify (1 + sqrt(26)/sqrt(2))*-3 + (-5*sqrt(468))**2. -3*sqrt(13) + 11697 Simplify 3*sqrt(432)*4 + sqrt(432) + -3. -3 + 156*sqrt(3) Simplify -1 + sqrt(475) + sqrt(475)*3 - (-2 + sqrt(475)*-3)**2. -4280 - 40*sqrt(19) Simplify (sqrt(91) + (sqrt(91) - 2*sqrt(91))*-6 + sqrt(91))/sqrt(7) + (sqrt(1300) + 0 + sqrt(1300))*1. 28*sqrt(13) Simplify sqrt(80)/sqrt(10) + sqrt(2) + ((sqrt(50) + -1 - sqrt(50))**2 - sqrt(2)) + sqrt(2). 1 + 3*sqrt(2) Simplify 4 + sqrt(5) + sqrt(20)/sqrt(36) + sqrt(5). 4 + 7*sqrt(5)/3 Simplify (sqrt(39) + -6*sqrt(975))/(-4*sqrt(3)*-1). -29*sqrt(13)/4 Simplify (2*sqrt(1664))/(sqrt(72)*-3). -8*sqrt(13)/9 Simplify (4*sqrt(117) + sqrt(13) + -1 + 1 + 0)**2. 2197 Simplify (sqrt(11) + sqrt(33)/(sqrt(6)/sqrt(2)) + 5)**2. 20*sqrt(11) + 69 Simplify -4*sqrt(125) + 5. -20*sqrt(5) + 5 Simplify (-1*sqrt(121)*-1)/sqrt(11)*4. 4*sqrt(11) Simplify (sqrt(304) - (sqrt(304) + 0))**2 - ((sqrt(228)/(-2*sqrt(12)))**2 - sqrt(19)). -19/4 + sqrt(19) Simplify sqrt(1900) - (-5*sqrt(1900)*-3 + sqrt(1900)). -150*sqrt(19) Simplify (6*(-3 + sqrt(833) + -2*sqrt(833)))**2. 1512*sqrt(17) + 30312 Simplify ((1*sqrt(2592) + sqrt(18) - sqrt(18))/sqrt(6))**2. 432 Simplify (sqrt(30)/(sqrt(70)/(sqrt(42)/sqrt(6))))**2. 3 Simplify (sqrt(10)/(sqrt(8)*-3) + -3)**2. sqrt(5) + 329/36 Simplify ((5*-1*sqrt(66))/sqrt(6))**2 + -5 + -3. 267 Simplify (2*(sqrt(102) - (sqrt(102) + sqrt(102)*-2))/sqrt(6))**2 - 2*(sqrt(68) + 1). -4*sqrt(17) + 270 Simplify 3 + (sqrt(175) - ((sqrt(175) + 1 + -3)**2 - sqrt(175))). -176 + 30*sqrt(7) Simplify 3*(sqrt(63))**2*4. 756 Simplify (sqrt(19) + -2)*-3 - (-3 + sqrt(19) + -2). -4*sqrt(19) + 11 Simplify -3 + -2 + (sqrt(13)*-2 + 5 - sqrt(13) - sqrt(13))**2. -40*sqrt(13) + 228 Simplify ((sqrt(1300) + 3)*4 - sqrt(1300))**2*2. 1440*sqrt(13) + 23688 Simplify (((sqrt(119) + sqrt(119)*-1)*2)/(-1*sqrt(343) - sqrt(343)))**2. 0 Simplify -5*(sqrt(18)*-2 + (sqrt(450) - sqrt(2)) + -4). -40*s
{ "pile_set_name": "DM Mathematics" }
*(-2870/663) Simplify (u**(-1/6))**(-46)/((u**12/u*u*u)/(u**0*u)) assuming u is positive. u**(-13/3) Simplify q/((q**(-14)/q)/q)*q**(-7)*((q**(-1)/q)/q)/q*q/q**7 assuming q is positive. 1 Simplify f*f*f**(-1/3)*f*f*f**(-2/5)*f*f/(f*f*f*f**(-1))*f*f*f**(-9) assuming f is positive. f**(-56/15) Simplify (u/(u/u**(10/7))*u**21)/(u*((u*(u*u/u**(-1))/u)/u)/u)**27 assuming u is positive. u**(-221/7) Simplify b*b/b**6*b*b*b*b**(-14)*b*b*b*b**12/b**14 assuming b is positive. b**(-14) Simplify (x/x**(1/7))**24*(x*x**(-5)*x)**(-18/5) assuming x is positive. x**(1098/35) Simplify (d**(-13)/d**(-9))/((d/(d/d**(-1/3)))/d)**2 assuming d is positive. d**(-4/3) Simplify (((h**2*h)**35)**2)**(-20) assuming h is positive. h**(-4200) Simplify (r**1/r)/((r/r**4)/r)*r**(-1/6)/(r/r**(-11)*r*r*r) assuming r is positive. r**(-67/6) Simplify (d**(-7/2))**20/(d**3/(d/(d/d**(-1/2))*d)) assuming d is positive. d**(-145/2) Simplify (u*u/(u/(u**(-6)/u)))**(-9/4)*(u*((u/u**4)/u)/u)**(-16) assuming u is positive. u**(155/2) Simplify (y**4/y*y**12)**44 assuming y is positive. y**660 Simplify (y**(15/2)*y*y**(-1/3))/((y*y**(-24))/y**(4/21)) assuming y is positive. y**(439/14) Simplify (t/(t/((t*t/(t/((t*t**7*t)/t)))/t))*t*t)**(-35)*t**(2/5)*t**(-15)*t assuming t is positive. t**(-1818/5) Simplify (g*g**(-2/3))**(-11)*(g**0/g)**(-33) assuming g is positive. g**(88/3) Simplify (t/t**1)**(-1/8)/(t**(-4/3)/(t**(-19)*t)) assuming t is positive. t**(-50/3) Simplify (s*s**(3/4))**(-3)/(((s/(s*s**(-1/10)))/s)/(((s**(-7)/s)/s)/s)) assuming s is positive. s**(-287/20) Simplify (d**(-4)/d**(1/7)*((d*d*(d**(-2)*d)/d)/d)/(d/(((d**(3/2)/d)/d*d*d)/d)*d))**(1/3) assuming d is positive. d**(-31/14) Simplify (z/z**6*((z/(z**(-1/2)*z*z)*z)/z)/z*z*(z**(-2/5))**1)**11 assuming z is positive. z**(-649/10) Simplify (d**(-1/5))**(1/65)*((d/d**8)/d)**(1/2) assuming d is positive. d**(-1301/325) Simplify (o**(4/11)/(o*o**(-2/17)))/(o**(-3/8))**(-7) assuming o is positive. o**(-4703/1496) Simplify (((a*a**12)/a)/a*a*a**(2/11))/(a*a**(-1)*a*a)**5 assuming a is positive. a**(24/11) Simplify (b/(b/((b**(-7)/b)/b))*b)/b**(-22)*b**(-10)/(b/((b/(b/(b*(b/(b/(((b**(3/7)*b)/b)/b)*b))/b)*b))/b)) assuming b is positive. b**(-4/7) Simplify ((k/k**23)/k*k/(k/(k*k**(-21))))/(k/((k**(3/8)*k)/k))**(-15) assuming k is positive. k**(-269/8) Simplify (c/((c/c**(-5)*c)/c)*c)**(-7)*((c**(2/15)*c)/c*c)/(c*c**(-17/5)) assuming c is positive. c**(473/15) Simplify ((n*n/(n**(4/11)*n)*n**(3/13))**(-33))**(-1/88) assuming n is positive. n**(93/286) Simplify (i**(-5)*i/(i*(i*i/(i*i/i**2)*i)/i))/((i/(i**(-1/3)*i))/i**10) assuming i is positive. i**(8/3) Simplify z**(-9)*z*z**(2/9)*z**12/(z/(z**(-2/5)/z)) assuming z is positive. z**(82/45) Simplify ((f/(f**(-1)*f))/f)**(-1/11)/(f/f**(19/2)*f*f**(-30)) assuming f is positive. f**(75/2) Simplify (j**(3/2)/(j**(6/7)/j))/(j/(j**(-4)/j))**(1/5) assuming j is positive. j**(31/70) Simplify (((p/(p*p**(-2/25)*p))**(-4/9))**(-5/4))**(4/25) assuming p is positive. p**(-92/1125) Simplify u**(-16)*u*u**(-1)*((u/(u/(u/u**(-3)))*u)/u)**44 assuming u is positive. u**160 Simplify (p**(2/7))**6/(p**(7/4)*p*p*p/((p/((p*p/(p/p**(-5)))/p*p)*p)/p)) assuming p is positive. p**(55/28) Simplify o**(-9/7)*o**1*(o/(o/o**(-19)))/o**(2/51) assuming o is positive. o**(-6899/357) Simplify (i**(8/3)/i)/i**(-9/7)*(i**(-4))**(-2/55) assuming i is positive. i**(3578/1155) Simplify (h*h**(-2))/h**(-4/9)*(h/(h*h*h*h*h*h**(-1/10)/h)*h)**23 assuming h is positive. h**(-3983/90) Simplify (f/(f/((f/(f/(f/(f**(-2/23)*f))))/f*f))*f**5)/(f**(-1)*f)**(-33) assuming f is positive. f**(117/23) Simplify ((w*w/w**1)**(-27)*(w**1)**(-25))**24 assuming w is positive. w**(-1248) Simplify z**(-20)/z*z**31*(z/z**(-34))/(z*z*z*z/((z/((z**(18/7)/z)/z))/z)*z*z) assuming z is positive. z**(269/7) Simplify ((p**(-2))**(9/4)*(p**(8/3)*p*p*p*p)/p**(-8))**(-6/5) assuming p is positive. p**(-61/5) Simplify ((h*(h/(h/(h*h*h/(((h/(h**4/h))/h)/h)*h)))/h)/h)/h*h**(-8)*h**14/h**(-27) assuming h is positive. h**39 Simplify (((a**(-2/9)/a)/a*a**(2/15))**15)**(28/3) assuming a is positive. a**(-2632/9) Simplify (h*h**(1/32))/h**4*h**(-31)*h**0 assuming h is positive. h**(-1087/32) Simplify d**(-6)/(d*d**9)*(d**(5/4)/d)/d**(-5/4) assuming d is positive. d**(-29/2) Simplify (f**(1/4)*f*f**(-2/71))/(f**4*f*f/((f**11/f)/f)) assuming f is positive. f**(1199/284) Simplify ((g*g/((g/g**(-4))/g))/(g**(4/23)/g*g))/(g*(g/(g/(g**(-6/7)*g)))/g*g**(-34)) assuming g is positive. g**(5101/161) Simplify ((j*j*j**(23/4))**25)**(-29) assuming j is positive. j**(-22475/4) Simplify ((b/b**(-4/7)*b*b**3)/((b*b/(b**(1/7)*b*b))/b**(-1)))**33 assuming b is positive. b**(1089/7) Simplify (i/((i*i*i*i**(1/21)*i*i*i*i*i)/i))/i**(-3/7)*(i**(2/9))**(-3/20) assuming i is positive. i**(-1187/210) Simplify v**11/(v*v**0*v)*v**(7/3)*v*v**10 assuming v is positive. v**(67/3) Simplify ((u*u**(4/7)/u)/((u*u/u**(-5))/u)*(u/u**0)**(-22))**(-2/133) assuming u is positive. u**(384/931) Simplify (c**(-8))**(-1/38)*c**(-4/7)*c*c*((c/(c**(-22)*c*c))/c)/c assuming c is positive. c**(2745/133) Simplify (o**(-2/3)*o)**(3/35)*o**13/o*o**(-22) assuming o is positive. o**(-349/35) Simplify (((o/(o*((o/(o/o**(-1/5)*o))/o*o)/o*o))/o)**(-2/29))**(-2/55) assuming o is positive. o**(4/7975) Simplify (((c**(3/7)*c)/(c*c/c**(13/2)*c))**(9/2))**5 assuming c is positive. c**(3105/28) Simplify (o**24/(o/o**(-3/19)))/(o**(-15)/o**2) assuming o is positive. o**(757/19) Simplify (u**(-10)/u**(1/5))/(u*u*u*u**(4/3)*u*u*u/u**(3/25)) assuming u is positive. u**(-1306/75) Simplify (b*b**2*b)**(-6/5)/(b**(-4/9))**(-3/8) assuming b is positive. b**(-149/30) Simplify (k*(k/k**(6/7))/k)/k*k**(-7)*(k**3/k)**(-6/7) assuming k is positive. k**(-67/7) Simplify (((q**(1/2)*q)/(q**(-2/3)*q))/((q/(q/q**(-7)*q)*q*q)/q**(-1/2)))**15 assuming q is positive. q**100 Simplify (d**(-18)/d*d**15)/(d**4)**23 assuming d is positive. d**(-96) Simplify (((v/v**(-13))/v)/v*(v**(-11)*v*v)/v*v)/(((v*v/v**16*v*v)/v)/(v/v**(3/5))) assuming v is positive. v**(82/5) Simplify ((a**(1/4)/(a**(-3)*a))**47)**23 assuming a is positive. a**(9729/4) Simplify t**11*t*t**(7/2)*t*t**(1/19)/(t**(1/3)/t) assuming t is positive. t**(1963/114) Simplify (((c*c**(-1/3)/c*c)/c)**(11/3)/(c/(c**(-1)/c))**(-24))**7 assuming c is positive. c**(4459/9) Simplify a**(-1/11)*(a*a/((a/(a/(a**15*a)))/a))/a*a*(a/a**17*a)/a**22 assuming a is positive. a**(-551/11) Simplify (z**27*((z**6*z*z)/z)/z*z)**(-30) assuming z is positive. z**(-1020) Simplify (y**(-2))**31/(y**(-1/4)/y**13) assuming y is positive. y**(-195/4) Simplify ((x/x**9)/x)/x*x**(-7)/x*((x/(x*x/(((x/(x/x**(-17))*x)/x*x)/x)))/x)/x**(-12/5) assuming x is positive. x**(-173/5) Simplify ((i*i/(i/(i/(i/i**(-5)*i)))*i)/i*(i*i**(-2/23))/i)/((i/(i**(-29)*i*i))/((i*i**(-9/2)*i)/i)) assuming i is positive. i**(-1683/46) Simplify (f**(9/4))**(-27)/((f**(5/2)/f)/((f*f**(-3/7))/f)) assuming f is positive. f**(-1755/28) Simplify l**(-14/5)*l**(3/2)*(l*l*l*l*((l**(-1/4)/l)/l)/l*l)**10 assuming l is positive. l**(81/5) Simplify ((k*k/(k**(5/3)*k))/k)/k**(-7)*((k*k**(2/5))/k)/(k**(-1/2)/k*k) assuming k is positive. k**(187/30) Simplify ((u**0)**38*u**(-5/4)*u/(u/(u*u**(-3/4)*u)))**(-3/10) assuming u is positive. 1 Simplify ((t/t**12)/t)/(t**(-4)*t)*(t/t**(-8/5))/t**(2/27) assuming t is positive. t**(-874/135) Simplify (((m*m/(m**(2/15)*m)*m)/(m*m/(m/(m*m/(m*(m**5*m)/m*m)*m))))**(2/33))**2 assuming m is positive. m**(292/495) Simplify ((f*(f*f**(2/63))/f)/f*f/(f**(1/9)*f*f))**(-42) assuming f is positive. f**(136/3) Simplify ((s**(-3)/s**(2/11))/(s**(2/7))**(-9))**(1/18) assuming s is positive. s**(-47/1386) Simplify (b**(1/2)/b)**(-34)*b**(-13)/b**(-1/3) assuming b is positive. b**(13/3) Simplify (v*v*v/v**(-2/3))**(-1/13)/((v/(v/v**(11/4))*v)/((v/(v*((v*v**(1/10))/v)/v*v))/v*v)) assuming v is positive. v**(-3223/780) Simplify (d**(2/7))**(3/5)/(((d*d*d**(1/2)*d)/d)/(d*d**2/d)) assuming d is positive. d**(-23/70) Simplify ((u/(u/u**19))/(u*u**34))/((u/u**(-11))/u*u/(((u*((u*u/u**(-2)*u*u*u*u)/u)/u)/u)/u)*u*u) assuming u is positive. u**(-25) Simplify h/(h/(h/h**(-7/5)))*h*h*(h*(h*h**(-1/7))/h)/h*h*h*h*((((h*h*h/(h/h**9))/h)/h)/h)**(1/16) assuming h is positive. h**(543/70) Simplify u**(3/13)*u**15*u/(u**9*u)*u**10 assuming
{ "pile_set_name": "DM Mathematics" }
*l - 60. What is the remainder when (-4)/2*l/2 is divided by 7? 6 Calculate the remainder when 81 is divided by 0 - (-20 + 0 + -1). 18 Suppose 4*o - 3*v = 2*o - 15, -6 = 4*o + 2*v. Calculate the remainder when 1/3 - 8/o is divided by 2. 1 Let a be ((-14)/(-4))/((-2)/8). Let k = a - -71. Let f = k - 28. Calculate the remainder when f is divided by 10. 9 Let a(g) = g**3 + 9*g**2 - 5*g + 13. Let r = 53 + -33. Calculate the remainder when a(-9) is divided by r. 18 Suppose s = -4*z + 28, -4*z + 3*s + 19 = -25. Let o(f) = 2*f**2 - 5*f - 3. Calculate the remainder when o(5) is divided by z. 6 Suppose 4 = -3*g + 10. Let k be (3 + g)*2/5. Suppose 0*o - 2 = k*o - 5*v, v = -5*o + 49. Calculate the remainder when 17 is divided by o. 8 Suppose 0 = -4*o - 3*m - 4 - 2, 5*m = -10. Calculate the remainder when o/(-9) - (0 + -42) is divided by 9. 6 Let a = -27 - -48. Let w = -27 - -109. Calculate the remainder when w is divided by a. 19 Let c(d) be the first derivative of d**4/4 + 2*d**3 - 9*d**2/2 + 3*d + 4. What is the remainder when c(-7) is divided by 10? 7 Suppose 0 = 2*r + 4*q + 4, 7*r = 2*r - 2*q + 14. Suppose 5*v - s + 19 = 77, -r*s = 12. Calculate the remainder when 21 is divided by v. 10 What is the remainder when (4 + -2 - 3)/((-6)/762) is divided by 22? 17 Suppose 6*y - 147 = -y. Calculate the remainder when y is divided by ((-2)/(-5))/(2/40). 5 Let l(f) = -4*f**3 - f**2 - f - 1. What is the remainder when l(-3) is divided by 26? 23 Suppose 3*o - 46 = -2*l, -3*o + o = -5*l + 115. Calculate the remainder when l is divided by 9 - -2*(-2)/4. 7 Suppose -8 = -3*d + d. Suppose d*g = 13 + 3. Calculate the remainder when 11 is divided by g. 3 Suppose -4*o + 5*o - 6 = 0. Let b(r) = -2*r - 2. Let g be b(-2). Suppose -g*z + 23 + 9 = 0. What is the remainder when z is divided by o? 4 Suppose 0 = -2*s - 2, u + 2*s = -2 + 1. Let a(i) = -i**3 + i**2 + 3*i + 3. Calculate the remainder when a(-1) is divided by u. 0 Let o = -7 - -18. Calculate the remainder when 39 is divided by o. 6 Calculate the remainder when 2/(-6) + 568/12 is divided by 12. 11 Suppose 0 = -3*q - 3*d + 51, -64 - 2 = -4*q - 5*d. Suppose 2*j - 107 = u, -j - 2*u - 269 = -6*j. What is the remainder when j is divided by q? 17 Let f = 39 - 21. Let y(o) = -3*o + 46. What is the remainder when f is divided by y(13)? 4 Suppose 23 = z + 5*k - 1, -3*z + 44 = k. Let r = z + -6. Calculate the remainder when 21 is divided by r. 5 Let j(r) = -r**3 + 8*r**2 - 5*r - 4. Let f be 3/(-2) - 2/(-4). Let d = 8 + f. What is the remainder when j(d) is divided by 6? 4 Let h be 0/6*(-1 + 0). Suppose h = 2*a - 4*w - 32, w = -0*a - 4*a + 28. What is the remainder when 31 is divided by a? 7 Suppose 3*y - 23 = 31. Let h = 5 + y. Calculate the remainder when h is divided by 8. 7 Suppose 53 = i - 0*i. What is the remainder when i is divided by 27? 26 Suppose 0*z = -4*z + 48. Let p(i) = 4*i**2 - 4*i - 2. Let g be p(-3). Suppose -g = -3*s + 20. What is the remainder when s is divided by z? 10 Let f be (-1)/(-2*(-3)/(-42)). Suppose -2*z + f = -3. What is the remainder when (-63)/(-5) - (-2)/5 is divided by z? 3 Let m(t) = 2*t**2 - 3*t - 4. What is the remainder when m(6) is divided by 18? 14 What is the remainder when 103/2 - 2/4 is divided by 26? 25 Let s(r) = -r**2 + 3*r + 1. Let j(m) = -m + 1. Let w(c) = -3*j(c) - s(c). What is the remainder when 47 is divided by w(-4)? 11 Let p = 321 - 194. What is the remainder when p is divided by 16? 15 What is the remainder when (-4)/26 - (-1 - (-3321)/(-39)) is divided by 22? 20 Suppose -2*d - 200 = 2*d. Let x = d + 100. What is the remainder when x is divided by 26? 24 Suppose -2*s - 37 = -4*t + s, 0 = 5*s + 15. Calculate the remainder when 13 is divided by t. 6 Let j(u) = u**2 + 6*u + 43. Calculate the remainder when j(-10) is divided by 22. 17 Let j(k) = -k**2 - 3*k**2 + 3*k + 0*k + 2*k**3 + 3. Let i be j(3). Suppose -4*s + i = -26. What is the remainder when 26 is divided by s? 12 Let l = -30 + 57. Let g = 3 + 12. What is the remainder when l is divided by g? 12 Suppose -11*q = -9*q - 220. Calculate the remainder when 49 is divided by q/8 - (-15)/(-20). 10 Suppose -3*w + 72 = -75. What is the remainder when w is divided by 17? 15 Let s be (-2)/(-1)*6/4. Let z = 2 + -5. Calculate the remainder when s*1/(z/(-2)) is divided by 2. 0 Calculate the remainder when ((-72)/(-28))/(1/7) is divided by 4. 2 Calculate the remainder when (2/7)/1 + (-1384)/(-56) is divided by 13. 12 Let b = 7 + -7. Suppose b = -3*x + 56 + 79. Calculate the remainder when x is divided by 16. 13 What is the remainder when 31 is divided by -11*(2 + 1)/(-3)? 9 Suppose -12 = -5*r + 4*a, -5*r + 5 - 2 = -a. Suppose 3*z - 3*h - 3 - 12 = 0, 5*h + 25 = r. Let k(f) = f + 16. What is the remainder when 31 is divided by k(z)? 15 Suppose -f + 7*f = 612. What is the remainder when f is divided by 26? 24 What is the remainder when 182 is divided by (-37)/8*2*-4? 34 Suppose -235 = -7*q + 24. What is the remainder when q is divided by 14? 9 Let t = 138 - 114. What is the remainder when 92 is divided by t? 20 Let w = -18 - -18. Suppose 4*r + r - 5 = w, -x - 4*r + 21 = 0. Calculate the remainder when 65 is divided by x. 14 What is the remainder when (655/15)/((-1)/(-3)) is divided by 33? 32 Suppose -32*z = -28*z - 76. Calculate the remainder when 74 is divided by z. 17 What is the remainder when 14 is divided by 3 + (3 + -6 - -1) + 7? 6 Suppose 0 = 4*j + 3*m - 2*m - 9, 2*j = -3*m - 3. Calculate the remainder when 26 is divided by -7*((-6)/(-3) - j). 5 Let s = -12 + 27. Let b = -7 + s. Calculate the remainder when 15 is divided by b. 7 Suppose -4*g + 36 = -0*g. Calculate the remainder when 26 is divided by g. 8 Let h(y) = 9*y**2. What is the remainder when 1/(2 - 124/64) is divided by h(1)? 7 Let i be (-2 - -1*18)*1. Suppose z + 5 = i. Suppose 0 = -5*b - 25 + 125. What is the remainder when b is divided by z? 9 Suppose -16 = 2*v + o, -3*v + 4*v - o + 5 = 0. Let f = v + 5. Calculate the remainder when 32 is divided by ((-3)/f - 1)*22. 10 Let y = 30 - 54. Let b = 40 + y. Suppose -u - 184 + 61 = -4*k, -3*u - 9 = 0. What is the remainder when k is divided by b? 14 Suppose v + 4*v - 10 = 0. Let b = v - -5. Calculate the remainder when 34 is divided by b. 6 What is the remainder when 44 is divided by ((-240)/50)/((-6)/20)? 12 Suppose -141 = 3*t - 6. Let o be 4/2*(-1)/2*31. Let m = o - t. What is the remainder when 40 is divided by m? 12 Suppose 3*w + 1 - 17 = -x, x + 8 = 5*w. Suppose x + 13 = 4*r. Suppose 0 - 5 = -r*t. What is the remainder when 1 is divided by t? 0 Let k(w) = 5*w - 4. Let b be k(7). Let q = -18 + b. What is the remainder when 24 is divided by q? 11 Suppose -4*y = -6*y + 314. Let v = y - 84. Suppose p = -5*u + 116, 0 = -0*u - 3*u - 4*p + v. Calculate the remainder when u is divided by 8. 7 Let z = -8 - -15. What is the remainder when 20 is divided by z? 6 Let k = 13 + -4. Suppose 17 = 5*t - 18. Suppose 0 = 3*s + t - 22. Calculate the remainder when k is divided by s. 4 Suppose 0 = -3*w + 2*w + 2. Let f be -15*w/12*-4. Suppose 3*g - 13 = -k, 2*k + 4*g - 18 = f. What is the remainder when k is divided by 9? 7 Calculate the remainder when 124 is divided by (-3)/12 + (-505)/(-20). 24 Suppose -4*z = z. Let s = 12 - z. Calculate the remainder when 23 is divided by s. 11 Let s(w) = 2*w**2 + w - 1. Calculate the remainder when 8 is divided by s(-2). 3 Let y(g) = -21*g**3 + 2*g**2 + g - 1. Let t be y(-2). Let z = t + -112. Calculate the remainder when z is divided by 16. 13 Suppose 2*x - x - 42 = 2*r, -3*x + 106 = 4*r. What is the remainder when x is divided by 10? 8 Suppose -3*k + 12 = x - 5, k - 2*x + 6 = 0. Suppose -3*o - 5*s + 34 = -2*o, o + s = 14. Suppose k*d - o = d. What is the remainder when 5 is divided by d? 2 Suppose -4*z - 108 = -4*b, 0 = 2*z + 3*b + b + 54. Let r be 2/(-7) + (-117)/7. Let y = r - z. Calculate the remainder when 18 is divided by y. 8 Let f(u) = -10*u - 14. Calculate the remainder when f(-4) is divided by 16. 10 Let m(d) = d**2 + 13*d + 9. Suppose 0 = -4*c - c - 65. What is the remainder when 17 is divided by m(c)? 8 Suppose -4*t - n + 58 = 0, -3*t - n + 32 + 11 = 0. Suppose 5*x + 5 = 20, -3 = -5*j + 4*x. What is the remainder when (-18 + -4)*(1 - j) is divided by t? 14 Suppose -72 = -5*k - 4*c, -5*k -
{ "pile_set_name": "DM Mathematics" }
*u**2 + 2*u**2). 1071*u**4 Expand (7*w**2 - 585*w + 585*w - 3)*(2 + 9 + 0). 77*w**2 - 33 Expand (-2*p + 3*p - 2*p)*((185*p + 1213*p + 475*p)*(-2*p + 2 - 2) + (2 - 2 - p)*(p - 2*p - 2*p)). 3743*p**3 Expand (15 - 6*t**3 - 1 - 18 + (3 + t**3 - 3)*(-3 - 1 + 5) - 2*t**3 + 0*t + 0*t + (4*t - 5*t + 2*t)*(-37 + 37 + 26*t**2))*(0*t + 4*t - 2*t). 38*t**4 - 8*t Expand (-78*d + 44 + 36 - 70*d - 82)*(-6 + 3 + 0). 444*d + 6 Expand (2 + 2 - 7)*(351 - 5*o - 351)*(-25*o**2 + 4*o - 6*o + 21*o**2)*(-3 + 4 + 1)*(o**2 + 1 - 1). -120*o**5 - 60*o**4 Expand (5*j - j + 0*j)*(145*j**3 - 1 - 287*j**3 + 126*j**3). -64*j**4 - 4*j Expand (2 + 3 - 3)*(-24 + 11 + 3 + 23529*g - 4 + 14). 47058*g Expand (254*s**2 - 7*s**3 - 254*s**2)*(5*s - 2*s**2 + 3*s - 2 - 5*s) + (10 - 3 + 3)*(1 + 2*s**5 - 1). 34*s**5 - 21*s**4 + 14*s**3 Expand (3 + 3 - 5 + (4 - 2 - 1)*(-1 + 2 + 1) + 2 - 3 + 2)*(79 - 79 + 7*y)*(-6*y - 1 + 1) + 12*y**2 + 0*y**2 - 6*y**2. -162*y**2 Expand 221576*o**3 - 221576*o**3 - 157*o**5 + (3 - 3 + o)*(2*o**3 + 2*o**4 - 2*o**3) - 3 + 3 - o**5. -156*o**5 Expand (145*c - 581*c - 514*c)*(-3 - 2*c**2 + 3). 1900*c**3 Expand 3*s**3 + 125*s**3 + 41*s**3 + (-3*s + s - 2*s)*(3*s**2 - 3*s**2 - s**2) + 1 - 1 - s**3 + (-6*s**3 + 3*s**3 + s**3)*(-1 + 1 + 1). 170*s**3 Expand (-15 - 81 + 15)*(18 - 18 - 2*y)*(-3 + 1 + 0) + (0*y + y - 2*y)*(0 + 1 - 4). -321*y Expand -11 + 5*p + 11 + p + 0*p - 2*p + 2*p - 4*p + 0*p + (2 - 1 + 0)*(-p + p - 2*p) + 0*p + 0*p - 2*p + (2*p + 5*p - 5*p)*(-2 + 3 + 0) - 23*p - 27*p + 17*p. -33*p Expand (3*f**4 - f**4 + 3*f**4)*(39 - 10 + 12). 205*f**4 Expand (20 - 61 + 27)*(-12*d + 12*d + 3*d**2)*(-6*d**2 + 2*d**2 - 2*d**2). 252*d**4 Expand (-22*l - 65*l - 295*l)*(-21 - 12 + 2) - 5*l + 2*l + 5*l. 11844*l Expand (0*f**2 + 245817 + 3149*f**3 - 245817 + 0*f**2)*(7*f - f + 12 - 11). 18894*f**4 + 3149*f**3 Expand (-2 + 2 + 2)*(-3*j + 6*j - 2*j + (-1 + 1 - 2)*(-j + 0*j + 3*j)) + (1 - 5 - 13)*(5*j - 5*j + j). -23*j Expand (-2079*o + 78 + 6887*o + 3141*o - 78)*(-5*o**2 + 3*o**2 + 3*o**2). 7949*o**3 Expand (4 - 1028*m - 1033*m + 2070*m)*(0 - 4 + 1). -27*m - 12 Expand -18481*w**2 + 9244*w**2 + 9442*w**2 - 6 + (2*w - 4*w + 5 - 2)*(-5 + 5 - w). 207*w**2 - 3*w - 6 Expand (6*b**3 + 5*b**3 - 3*b**3)*(-b + 1 - 1) + 407*b**2 - 407*b**2 - 3*b**4. -11*b**4 Expand (-4 + 1 + 4)*(14 + 12*t - 14) + 6*t + 17*t - 55*t. -20*t Expand (1 - 1 + 184*l + 344*l - 67*l)*(-22*l**3 - l**3 + 5*l**3). -8298*l**4 Expand (-119*u**5 - 4316*u**4 + 4316*u**4)*(12 + 8 + 18) + 2*u**5 - u**5 - 3*u**5. -4524*u**5 Expand (3 + 5 - 2)*(-5*w + w + 6*w) + 1 - 1 - w + (-10 + 1 + 6)*(5*w - 4*w - 6*w). 26*w Expand (-4*j**2 + 2*j**2 + 6*j**2)*(-1 + 0 + 3)*(4 - 6 + 6)*(-7*j**2 + 3*j**2 - 5*j**2). -288*j**4 Expand (51*q + 208 - 208)*(-10 - 16 - 41 + 15). -2652*q Expand (-2*i**2 + 2*i**2 + i**4)*(9169 - 24210 + 2649 - 17773 - 25446 - 4309). -59920*i**4 Expand (((1 + 1 + 0)*(-5 + 2 + 18) + 0 - 3 + 4)*(-1 + 2 - 2) - 5 + 8 + 2)*(9*a**2 + 7*a**4 - 9*a**2). -182*a**4 Expand (4248 + 3761 + 1409 + 1698 - 565 + 3 - 4 - 1 - 2 + 2 - 2 + (-4 + 2 + 1)*(0 + 4 - 3))*(-1 + 2*k + 1). 21092*k Expand (6 + 0 - 4)*(1163899 - 1163899 + 2149*v). 4298*v Expand (2 - 1 + 0)*(-247*c - 244*c + 489*c - 1655). -2*c - 1655 Expand (3 + 5*x**4 - 3)*(-3 + 0 + 5 + (-1 - 1 + 3)*(-3 + 4 - 2) + (4 + 1 - 4)*(-9 + 5 - 9)). -60*x**4 Expand (-15*u**2 - 2*u + 7*u - 6*u)*(-2*u**2 + u**2 + 4*u**2) + 6*u**2 + 2*u**4 + 2*u**4 - u**4. -42*u**4 - 3*u**3 + 6*u**2 Expand (6*y**2 - y**2 - 3*y**2)*(-22 + 22 + 3*y) - 2*y**3 + y**3 + 66*y**3 + 0*y**2 - y**3 + 0*y**2. 70*y**3 Expand -2*j + 4*j - j + (2 + 2 - 3)*(j - j + 2*j) + (12 + 4 - 1)*(-286 + 93 - 153)*(j + 2 + 0*j + 0). -5187*j - 10380 Expand (-51 + 20 - 18*n**2 + 29)*(-20 + 20 - 123*n**2). 2214*n**4 + 246*n**2 Expand (18*j + 214*j - 100*j)*(1 - 1 - 2*j**2 + (-3 + 1 + 3)*(5*j**2 - 2*j**2 - 2*j**2) - 6*j**2 - 8*j**2 - 5*j**2). -2640*j**3 Expand (2*w - 45 - w + 40)*(1 - 2 - 2)*(4 + 3 + 29). -108*w + 540 Expand (25*w**3 - 174*w**2 + 174*w**2)*(-3*w - 5*w + 6*w + 29). -50*w**4 + 725*w**3 Expand (3 + 0 - 4)*(-p**4 - 4 + 4) + 12*p**4 - 37*p**4 + 11*p**4 - 3*p**4 + 0*p**4 + 2*p**4 - 52*p**2 + 15*p**4 + 52*p**2. p**4 Expand (12*b**2 + 91 - 91)*(60 + 74 - 19) + 3*b**2 + 2*b - 2*b + 5 + b**2 - 5 + (2*b - 2 + 5*b - 5*b)*(-2*b - 2*b + 5*b). 1386*b**2 - 2*b Expand (2*f**3 + f**3 - f**3)*(0*f + 2*f + 34*f) + 4 - 2*f**4 - 4 + (-5*f**2 - 2*f**2 + 3*f**2)*(-f**2 - f**2 + 0*f**2) - f**4 - 2*f**4 + f**4. 76*f**4 Expand (4*d - 2*d + 8*d)*(-4*d + 2*d + 0*d + (2*d + 2*d - 2*d)*(3 - 4 - 1))*(0 - 5 + 2)*(25 + 49 - 9). 11700*d**2 Expand (-10*l + 10*l - 7*l)*(-5*l + l + 2*l) - 2 - 2*l**2 + 2 + (3*l - l**2 - 3*l)*(4 - 4 - 2) + (-l - 3*l + 5*l)*(2*l + 2*l - l) - l**2 - 3*l**2 + 5*l**2. 18*l**2 Expand (-6 - 14 - 20)*(1 - 4 - 9 - 8)*(-4*y - 4 + 4). -3200*y Expand (1 - 1 + 2*p**3)*(-3 + 3 + 2*p) - 2*p**4 + 3*p**4 + p**4 + 270*p**4 + 220*p**4 - 926*p**4 - 851*p**4. -1281*p**4 Expand -5 + 5 - 3*i**2 - 3*i**2 + 3*i**2 - 2*i**2 + (-4*i**2 - i**2 + 4*i**2)*(-1 + 2 + 0) + 3*i**2 - 4*i**2 - 2*i + 4*i + 14 - 9*i**2 - 14. -16*i**2 + 2*i Expand (-s**3 - 2*s**4 + s**3)*(2*s + 0*s - 4*s) + 586*s**5 + 584*s**5 - 1171*s**5 - s**3 - 4 - 9*s**5 + 12*s**5 + s**5. 7*s**5 - s**3 - 4 Expand -163*d**5 - 464*d**5 - 206*d**5 + (2*d**3 - 3*d**3 - d**3)*(-d**2 + 2*d - 2*d) - 4*d**4 + 2*d**5 + 4*d**4 + 2*d**5 + 2*d**5 - 2*d**5. -827*d**5 Expand (2 - 2 + m)*(-3*m - m + m) + 2*m**2 + 4 - 4 - 368 + 715*m**2 + 368. 714*m**2 Expand (-496*r - 292*r + 3*r - 548*r - 340*r + 30*r)*(-27*r + 32*r**2 + 27*r). -52576*r**3 Expand (2*q - 3*q + 2*q)*(-4*q**3 - q**3 + 3*q**3) + 0*q**2 + 0*q**2 - q**4 + 57*q**4 - 17*q**4 + 54*q**4 - 3*q**4 + 3*q - 3*q. 88*q**4 Expand (2 - 2 - t)*(-305*t**2 + 143212*t - 143212*t) + (t**2 - 2*t**2 + 0*t**2)*(-2*t + t + 2*t) + t - t - t**3. 303*t**3 Expand ((4 + 5*l - 4)*(l - 5*l + l) + 0*l**2 - l**2 + 0*l**2 + (-l + l + l)*(l - 4 + 4))*(1 + 2 - 4). 15*l**2 Expand -2*p**3 + p**3 + 0*p**3 + (-3*p**2 + 6*p**2 - p**2)*(2703*p + 1538804 - 1538804). 5405*p**3 Expand ((-83*h**2 + 41*h**2 - 159*h**2)*(0 + 0 + 2 - 2*h) + (3*h**2 - 3*h**2 - 2*h**2)*(9*h - h - 2*h))*(0 - h + 0). -390*h**4 + 402*h**3 Expand (-733 - 505 + 286)*(4*y - 2*y - 3*y)*((0*y**4 + y**4 - 2*y**4)*(1 - 6 + 3) - 4*y**4 - 2*y**4 + 3*y**4). -952*y**5 Expand (-133*u - 76 - 71 - 237*u + 147)*(-3 + 1 - 4*u + u). 1110*u**2 + 740*u Expand ((0*g + 2*g - g)*(-1 - 1 + 0) + g + 3*g - g)*(17*g - 5*g - 10*g + (0*g - 2*g + 5*g)*(-2 + 0 + 1)). -g**2 Expand (-2223 + 360*t + 2223)*(0 + 2*t + 0)*(8 + 15 + 18). 29520*t**2 Expand -5*r**2 + 0*r**2 + 3*r**2 + (3 - 2*r - 3)*(-2*r - 2*r + 0*r) + 69510 - 2798*r**2 - 69510. -2792*r**2 Expand (-33 + 4 - 2 + (6 - 3 - 4)*(2 + 1 - 2) - 3 - 5 + 1)*((0*s**2 - s**2 + 4*s**2)*(-2*s**2 - s**2 + s**2) - 5*s**4 + 0*s**4 + 4*s**4). 273*s**4 Expand (54 - 38 - 201)*(7 + 2*t - 6 + 0*t - 3*t**2). 555*t**2 - 370*t - 185 Expand (2941 - 5890 + 1190)*(s**2 - 1 + 1)*(3*s - 6*s + 2*s). 1759*s**3 Expand (-100 - 32 + 70)*(-z + 1 - 1)*(-2 - 2 + 1). -186*z Expand (d + 3*d - 3*d + 2*d - 6*d + 5*d + (0*d - d + 3*d)*(-1 + 0 + 3) - 2*d + 4*d - 4*d + 2 + d - 2 + (3*d - 2*d + d)*(-1 - 2 + 2))*(2 - 3 - 1). -6*d Expand (38*z**2 + 1 + 30*z**2 - 67*z**2)*(-2 + 5 - 2). z**2 + 1 Expand (-3*n + 3*n - 2*n**5)*(1 + 3 - 2) - 6 - 7 + 16 - 5*n**5 - 43*n + 49*n**5 + 43*n. 40*n**5 + 3 Expand -138*r + 104*r - 168*r - r - 3*r + 2*r + (-5 + 2 + 1)*(2*r + 0*r - r) + (2*r - 18*r + 4*r)*(0 + 4 - 3). -218*r Expand (-2*k**2 - 3 + 3)*(0*k - 3*k + 2*k) + (-1 + 1 + 2)*(k**2 - k**2 + k**3) + 107*k**3 + 183*k**3 - 91*k**3. 203*k**3 Expand -m - 3*m**2 + m + (3*m + 3*m - 4*m)*(-1 + m + 1) + 4*m**2 + 33*m**2 + 81*m**2. 117*m**2 Expand (-48*f**2 - 35*f**2 + 63*f**2)*(-2 + 4*f + 17*f + 10*f). -620*f**3 + 40*f**2 Expand (-2 + 259*j + 1519*j - 210*j)*(2*j + 1 - 1). 3136*j**2 - 4*j Expand ((1 - 2 + 0)*(2 - 1 + 0) + (23 + 2 - 4)*(1 - 2 + 2))*(0*o + 2*o + 0*o)*(-2 - 1 + 4 + (0 + 0 - 2)*(5 - 4 - 3) - 1 + 0 + 0 - 4 + 4 - 5). -40*o Expand (-19 + 28 + 0*i + i)*(-40 + 13 - 83)*(1 - 1 - 2). 220*i + 1980 Expand (0*o - 4*o + 3*o)*((0 - o + 0)*(-o + 0*o + 0*o) + 2*o**2 + 4*o**2 - 4*o**2)*(-3477 - 1153 - 293 + (-2 - 4 + 4)*(2 - 1 + 1)). 14781*o**3 Expand -332*n + 332*n + 188*n**5 + (-n**2 - n**2 + n**2)*(n - n - 3*n**3) - 8*n - 7*n**5 + 8*n. 184*n**5
{ "pile_set_name": "DM Mathematics" }
*j = 7*j - 117. What is the remainder when t is divided by j? 36 Let z be (31/(-4))/1*-8. Let u(y) = 6*y - 82. Let v be u(14). Suppose -4*l + z = 2*b, -5 = -2*b + v*l + 27. Calculate the remainder when b is divided by 13. 8 Suppose 76*y = -117*y + 62532. Calculate the remainder when y is divided by 50. 24 Let y be ((-188)/(-16) + 1)*40/30. Let a(x) = 19*x - 45. What is the remainder when a(y) is divided by 8? 6 Calculate the remainder when 237272/836 - 4/(-22) is divided by 14. 4 Suppose 5*b - z - 71 = 17, 62 = 4*b + 2*z. Suppose -6*q - 5 = -b. Suppose 4*t + q*t - 48 = 0. What is the remainder when 23 is divided by t? 7 Let p be -2*(140/8 - -3). Let y = p - -61. Let m(a) = 2*a**3 - 3*a**2 - 7*a + 6. What is the remainder when m(4) is divided by y? 18 Suppose -x = 3*x + b - 1673, -3*x - 4*b = -1258. What is the remainder when x is divided by 21? 19 Let r(b) = b**3 - 3*b**2 + 13. Suppose i + 11 = 6*i - v, -13 = -5*i + 3*v. Calculate the remainder when r(i) is divided by 3. 0 Let a = -5499 - -5572. What is the remainder when 1968 is divided by a? 70 Let v(g) = -11*g + 11. Let c be v(1). Let w(z) = 9*z**2 - 2*z + 13. Calculate the remainder when 244 is divided by w(c). 10 Suppose 5*n + 7 = 3*i, -i - 2*n = n - 7. Let p = 277 - i. Calculate the remainder when p is divided by 25. 23 Suppose 3 = -4*y + 15. Suppose 149*i - 156*i + 133 = 0. Calculate the remainder when i is divided by 9 - (y - (2 - 0)). 3 Suppose -3*f = -5*b + 120, -5*b + 5*f + 130 = 10. Calculate the remainder when 18910 is divided by b. 22 Let q = 120 - 74. What is the remainder when q is divided by 12*(-5)/(-30) - (-20 - (0 + 7))? 17 Let m(z) = -z**3 + 61*z**2 + 126*z + 104. Calculate the remainder when m(63) is divided by 97. 7 Let b(q) = 4*q**2 - 92*q + 372. What is the remainder when 323 is divided by b(4)? 51 What is the remainder when 120 is divided by -2 + -1 + 35 + 16/(-16)? 27 Let c = -11 - -12. Suppose o + 3*d - 11 = -c, 3*d + 15 = 0. Calculate the remainder when ((-98)/(-3))/(14/21) is divided by o. 24 What is the remainder when (-46)/3*3/(-2) is divided by (30/420*28)/((-1)/(-3))? 5 What is the remainder when (-607)/3*(-86)/((-688)/(-24)) is divided by 279? 49 Suppose -k - 4*u + 1 = 0, 3*k + 113*u = 120*u + 155. What is the remainder when 4118/18 + 4/18 is divided by k? 31 Suppose 230 = m + 4*i, m - 4*i - 72 = 190. What is the remainder when m is divided by 38? 18 Suppose 3*w - 2*a = 1179, -10*a + 1965 = 5*w - 15*a. What is the remainder when w is divided by 22? 19 Let v(k) = 16*k + 271. Let s be v(-17). What is the remainder when 671 is divided by 38 - s - (-10)/(30/9)? 41 Let z = -4 + 10. Let m(i) = i**3 + 13*i**2 - 68*i - 415. Calculate the remainder when m(7) is divided by z. 5 Suppose -13 = 5*b + 32. Suppose 3*g = -5*o - 129, -104 = 4*o - 0*g + 2*g. Let k = b - o. Calculate the remainder when k is divided by 12. 6 Suppose 389*a - 385*a = 128. Calculate the remainder when 397 is divided by a. 13 Let r(d) = -9 - 8 - d**2 - 11 + 14*d. Let v = -24 - -71. What is the remainder when v is divided by r(9)? 13 Let c = -13 + 19. Let d(p) = 3*p**3 + 39*p**2 + 10*p - 55. What is the remainder when d(-12) is divided by (c/(-4))/(6/(-148))? 35 Let t(c) = -2*c**3 - 30*c**2 + 109*c + 39. What is the remainder when 10792 is divided by t(-18)? 19 Let a(o) be the second derivative of o**4/12 + 7*o**3/2 + 13*o**2 - o. What is the remainder when 99 is divided by a(-21)? 21 Let f(x) = 54*x**2 + 3*x + 2. Let k(b) = -1118*b + 4491. What is the remainder when f(-4) is divided by k(4)? 18 Let v(h) = -1543*h - 7666. Calculate the remainder when 277 is divided by v(-5). 32 Suppose x - 17 - 7 = 2. Calculate the remainder when 1052 is divided by x. 12 Let v be (-17)/8 - 4/(-32). What is the remainder when 89 is divided by v/12 + 10659/342? 27 Let x(p) = -3*p + 11. Let k be x(3). Suppose -r + 19 = g - 3*r, 3*g - 73 = k*r. Let y(o) = o**2 + 1. Calculate the remainder when y(8) is divided by g. 11 Let s(d) = 5*d**2 + 58*d + 740. Calculate the remainder when s(-11) is divided by 17. 10 Let s = -1501 + 1496. Let a(b) = -3 + 1 + 0*b - 2*b - 6*b. What is the remainder when 113 is divided by a(s)? 37 Let n(o) = -5*o**3 - 10*o**2 - 3*o. Suppose 3*k - 4 = -2*b, -3*k = -2*b - 6 - 14. Let p be n(b). What is the remainder when p/(-10)*50/(-20) is divided by 23? 20 What is the remainder when 29437 is divided by ((-11)/(264/16))/(4/(-102)) + -1? 13 Suppose 0 = -5*v - 5*n - 164 + 1029, -v + 187 = 3*n. Calculate the remainder when v is divided by 22. 12 Let c(l) = 20*l + 1136. What is the remainder when 833 is divided by c(-43)? 5 Let q(p) = -p**2 - p + 64. Suppose 4*k - 2*h + 7 = 19, 8 = -2*h. What is the remainder when q(0) is divided by (k/5)/((-19)/(-1615))? 13 Let b(w) = w**3 - 56*w**2 - 304*w + 5. What is the remainder when 742 is divided by b(61)? 16 Let i be 454/2 - (74 - 69). Suppose 427 + i = 11*l. What is the remainder when l is divided by 5? 4 Suppose 21*q - 168 = 24*q. Let n(k) = -13*k**2 + 5*k - 4. Let z be n(2). Let j = z - q. Calculate the remainder when 36 is divided by j. 6 Let h = 293 + -283. Suppose l + 37 - 4 = 4*m, -5*l = -m - 6. Suppose 0*i + 333 = m*i. Calculate the remainder when i is divided by h. 7 Calculate the remainder when 405 is divided by (-51)/4*49/((-1911)/208). 65 Suppose c - 18 = 2*c. Let l = 245 - 296. Let o = c - l. Calculate the remainder when 98 is divided by o. 32 Suppose 0 = 11*u - 217 - 410. Let n = u + -30. Suppose -n*b + 20*b + 77 = 0. Calculate the remainder when 18 is divided by b. 7 Suppose 0 = -5*t - b + 117, -5*t = 3*b - 140 + 29. Let d = 46970 - 46755. What is the remainder when d is divided by t? 23 Suppose 0 = -3*s - g - 130, 21*s - 214 = 26*s + g. Let z(d) = d**2 + 3*d + 3. Let o be z(-2). Calculate the remainder when 46 is divided by (o/2 + 0)/((-3)/s). 4 Let o = 6 - -25. Let i(j) = j + 23. Let b be i(-29). Calculate the remainder when o is divided by (-21*6/(-27))/(b/(-18)). 3 What is the remainder when -4 + (-26)/(-3) + -4 - 31369/(-39) is divided by 200? 5 Let l be -83 - (2 + -10 + 5). Let n = l + 101. What is the remainder when n is divided by 6? 3 Let s = 2122 - 2112. What is the remainder when 899 is divided by s? 9 Let t(g) = -78*g - 124. Calculate the remainder when t(-2) is divided by 10. 2 Suppose 10*b - 1113 - 5467 = 0. Calculate the remainder when b is divided by 35. 28 Suppose -6*s = 223 + 89. Let h = 55 + s. Suppose -t + 16 = h*u, -t + 21 = -5*u + 5. What is the remainder when t is divided by 11? 5 Suppose -y - i + 45 = 0, -2*y + 44 = -5*i - 18. Let c = 291 - 280. Calculate the remainder when y is divided by c. 8 Let p = 1589 + -1025. Suppose -56*r + p = -50*r. Calculate the remainder when 366 is divided by r. 84 Let h = 945 + -799. What is the remainder when h is divided by 2/(-8)*1 + 6800/320? 20 Suppose -6 - 4 = 5*v. Let a = -5 - -14. What is the remainder when a is divided by 0 - (-10)/(v/(-1))? 4 Let u be (-1)/((-2)/(-1) + 15/(-6)). Let t be 3/9 - u/6. Suppose -c + t*c + 51 = 0. What is the remainder when 303 is divided by c? 48 Let r(v) = -v**2 + 22*v - 20. Let n be r(13). Suppose 4*q = 83 + n. Suppose 30 = 3*j - 18. Calculate the remainder when q is divided by j. 13 Let t(i) = 9*i**2 - 11*i + 21. Suppose -5*g - 3*y - 91 = 0, -2*g + 4*g + 26 = 4*y. Let z = 1 - g. What is the remainder when t(3) is divided by z? 15 What is the remainder when 272 is divided by 316247/5463 - (-2)/36*2? 40 Suppose 9*p - 193 - 289 = 265. What is the remainder when 1155 is divided by p? 76 Let o = -169 + 177. Suppose -4*y - z + 7 + o = 0, 4*z - 9 = y. What is the remainder when 63 is divided by y? 0 Let r(b) = -636*b**3 + b**2 + 2*b. Let k be 3/(-9) + 2/(-3). What is the remainder when r(k) is divided by 13? 11 Let y(i) = 2*i + 15. Let g be y(-6). Let t = 66 - g. Let k = 125 - 108. Calculate the remainder when t is divided by k. 12 Suppose 298*j - 4457 = 297*j - 2*k, -3*k + 13365 = 3*j. Calculate the remainder when j is divided by 212. 1 Let x be 4/(56/(-35))*(-3 - -1). Suppose x*h = 4*h + 2*d + 125, -3*h + 384 = -3*d. Calculate the remainder when h is divided by 19. 17 Let m(t) = -t**3 + 21*t**2 + 12*t - 26. Let d be m(22). Let y = d - -484. What is the remainder when y is divided by 35? 28 Suppose -546 = -176*l + 163*l. Suppose -3*a + 12 = t, -2*a - 94 =
{ "pile_set_name": "DM Mathematics" }
2, 7 Suppose -2*n - n = -z + 8, -2*n - 17 = -3*z. Let k(h) = z + h - 5 + 1 + 4. What are the prime factors of k(8)? 13 Let l(h) = h**3 + 7*h**2 + 5*h + 4. Let p be l(-6). Suppose -f - p = -5. What are the prime factors of 16/(-10)*f*1? 2 Let m(x) = -9*x**2 + 2. Let b be m(-2). Let r = -25 - b. What are the prime factors of r? 3 Suppose -2*c = -5*j - 54, 0 = -0*j + 2*j - 8. List the prime factors of c. 37 Suppose -6*p + 2118 = -0*p. List the prime factors of p. 353 Suppose -a = -g + 60, -2*g + 305 = -5*a + 2*g. Let p = a + 97. What are the prime factors of p? 2 Let y be (6/1)/(21/(-28)). Suppose 4*m + 60 = -m. What are the prime factors of (-70)/y - 3/m? 3 Let i be 1 - 1 - (1 - 54). Let z = -33 + i. Suppose 2*r - 10 = z. List the prime factors of r. 3, 5 Suppose 4*l - 36 = 2*w, 0 = 4*l + 4*w + 3 - 27. List the prime factors of l. 2 Let o = 6 - -14. List the prime factors of o. 2, 5 Let s(c) = c**3 + 13*c**2 - 5*c - 4. What are the prime factors of s(-13)? 61 Let w be 5 + 0/(-3 + 5). List the prime factors of w - 0/(3 - 2). 5 Suppose 4*c + i = -2*i + 134, 2*c + 5*i = 74. Suppose 10 = 2*b + c. List the prime factors of -3 + 2 - (b - -3). 7 Let s(x) = -3*x - 3. Let l be s(4). Let r = -10 - l. Suppose g - 4*m + 24 = r*g, -4*g - 5*m + 28 = 0. List the prime factors of g. 2 Suppose -3*m = 4*r - 8*m + 421, m = -2*r - 207. Let y = -68 - r. List the prime factors of y. 2, 3 Suppose 0 = 5*q + 1 + 24. Let m(l) = l**3 + 4*l**2 - 6*l - 5. Let d be m(q). Let c = d - -6. List the prime factors of c. 2, 3 Suppose l - 46 = -12. What are the prime factors of l? 2, 17 Let y = 7 + -4. Suppose -y*c + 2*c + 4 = 0. Suppose -4*n = c*s - 4, -2*s + 2*n + 8 = -6. What are the prime factors of s? 2 Let i = -695 + 1010. List the prime factors of i. 3, 5, 7 Suppose 3*f - 1 = 5. Suppose -n + 230 = f*n - x, 5*n + 2*x - 398 = 0. What are the prime factors of n/18 + (-4)/(-6)? 5 Let a(z) = z + 7. Let q = -7 + 12. Let g be a(q). Let v = g - 6. What are the prime factors of v? 2, 3 List the prime factors of 2/6*(9 - -42). 17 List the prime factors of -28*((-21)/12 + 1). 3, 7 What are the prime factors of (3/(-2))/((-4)/160)? 2, 3, 5 What are the prime factors of (-11 - -9) + 62*1? 2, 3, 5 Let s be (-54)/(-10) + (-6)/15. Suppose 15 = -2*q - 3*q. Let c = s + q. List the prime factors of c. 2 Suppose -103 - 47 = -2*m - 2*c, 4*c - 75 = -m. Suppose s - m = -5*n - 29, 2*s = 2*n - 16. List the prime factors of n. 3 Suppose 6*q - 4 = 4*q. Let d(b) = -2 + 12 - q*b**2 - 12*b + b**2. List the prime factors of d(-12). 2, 5 Let n = -43 + 97. What are the prime factors of n? 2, 3 Suppose -4*n = n - 30. Suppose 2*z + n = 4*z. Suppose -z*q - 45 = -8*q. What are the prime factors of q? 3 Let a = -12 - -78. List the prime factors of a. 2, 3, 11 Let s(l) = l - 1. Let c(q) = -5*q + 8. Let x(a) = c(a) + 6*s(a). List the prime factors of x(3). 5 Let y be (-232)/(-5) + (-9)/(-15). Suppose 0 = -2*g + 2*m + 56, -3*g + y = -g + m. What are the prime factors of g? 5 Let d(n) be the third derivative of n**5/60 - 5*n**4/24 - 2*n**2. Let i(v) = -2*v**2 + 5*v + 1. Let m(s) = -3*d(s) - 2*i(s). List the prime factors of m(-6). 2 Let g(q) = -2*q + 3*q - 2*q + 3 - 3*q. What are the prime factors of g(-4)? 19 Let w(x) = x**2 + 5*x - 3. Let m(t) = t**2 - 4*t - 3. Let h be m(3). List the prime factors of w(h). 3 Suppose 9 = 2*d + o, 0*d - 7 = -2*d + o. Suppose -n + d = 2*x - 9, 17 = 4*n + x. Suppose 0 = -4*h + n*b + 45, 2*h - 59 = -3*h + b. List the prime factors of h. 2, 3 Let i = 1 - -2. Suppose u + i*u = 8. What are the prime factors of -2 + 10/(u + 0)? 3 List the prime factors of ((-72)/(-60))/((-4)/(-10)). 3 Let q be 6*12/(-9) + 0. Let g = 19 + q. Let m = g - 7. List the prime factors of m. 2 Suppose 4*p = p. Let q be ((-2)/6)/(11/(-165)). Suppose -y - 4*m + p = -6, -3*y + m + q = 0. List the prime factors of y. 2 Suppose 2*i + 2*g = 3*g, 0 = -i + 5*g. Suppose l + i*l = 0. Suppose l = -4*n + 4*m + 64, 2*n + 4*m - 27 = -n. What are the prime factors of n? 13 Suppose 5*x = 4*x + 6. Let w = 2 + x. List the prime factors of w. 2 List the prime factors of (-2 + (-20)/(-2))*4. 2 Let k = -4 - -9. Suppose 4*b + k*c - 8 = 0, 2*b = 4*b - 5*c + 26. List the prime factors of 15 - (2 + 1 + b). 3, 5 What are the prime factors of (4 - 1) + 86/2? 2, 23 Let b = 18 + -9. Let r(c) = 0*c - 9*c + c**2 + 12 - c**2 + c**2. What are the prime factors of r(b)? 2, 3 Let z(u) = -u**2 + 5*u + 1. Let d be z(4). Suppose w = d - 3. Suppose -10 = 5*o - 4*h, w*o = -0*o - 3*h + 19. What are the prime factors of o? 2 What are the prime factors of (-878)/(-14) - (-4)/14? 3, 7 Let k(a) = -3*a + 165. List the prime factors of k(0). 3, 5, 11 Let m(z) = z + 5. Let b(p) = p**2 - 5*p - 6. Let y be b(6). Let n be m(y). Let x(j) = j**2 - 2*j - 2. List the prime factors of x(n). 13 Suppose -2*t - g = -5*t + 686, 4*g = 5*t - 1155. What are the prime factors of t? 227 Let k be 82/5 - 14/35. Suppose 4*j = -5*s + 14, s + k = 2*j - s. What are the prime factors of j? 2, 3 Let j(r) = -55*r**3 + r**2 + 2*r + 2. List the prime factors of j(-1). 2, 7 Let w(u) = u - 3*u - u - 10. Let v be w(-7). Suppose 5*q + n - v = 2*n, 3*q - 4*n = -7. List the prime factors of q. 3 Suppose 5*j - 300 = 5*g, -6*j = -4*j - g - 122. What are the prime factors of j? 2, 31 Suppose 3*j + f = 65, 0*j = -3*j + 2*f + 77. Suppose -3*n + j = 2. What are the prime factors of n? 7 Let v(o) = o**3 + o**2 - o**3 - o**3 - o + 2*o**3 + 40. Let w be v(0). Suppose -2*k = 2*k - w. What are the prime factors of k? 2, 5 Let b = 717 - 393. What are the prime factors of b? 2, 3 Suppose 0*p + 40 = 4*p - 5*m, -4*m - 11 = p. Let y be p*(-1 + 2) + -2. Suppose -35 = -2*q - y*q. What are the prime factors of q? 7 Suppose -5*k - c - 4*c = -1380, 20 = 5*c. What are the prime factors of k? 2, 17 Let y(h) = h**2 + 5*h + 4. Let x be y(-6). Let z = x + -4. List the prime factors of (-204)/(-18)*z/4. 17 Let r = 32 + -22. Let k be r*((-3)/(-6) - 0). Suppose -k*w + 2*w + 4*h + 19 = 0, 0 = 5*w - h - 60. What are the prime factors of w? 13 Suppose -2*m - 2*m - 2*s + 18 = 0, 0 = 4*s - 20. Let b(y) = 0*y + 4 + 7*y**2 + 3*y - m*y**2 + y**3. What are the prime factors of b(-4)? 2 Let j = 188 - 87. What are the prime factors of j? 101 Let j be -7 - (-1 + 0)*1. Let y = -6 - j. Suppose -w + 4 + 7 = y. List the prime factors of w. 11 Let g = -142 + 395. What are the prime factors of g? 11, 23 Let k be (-611)/91 - (-2)/(-7). List the prime factors of k - -7 - -32*1. 2 Suppose -3*m + 3 = -3. Let y be 11/(88/(-12))*(-32)/2. Suppose -m*s - 3*w = -y, -3*w = -4*w - 2. List the prime factors of s. 3, 5 Let h(i) = 24*i - 10. What are the prime factors of h(4)? 2, 43 Let g = 7 + -7. Let l be (0/3 + g)/1. What are the prime factors of 15 + (2/1 - l)? 17 Let r be 12/16*(3 - -5). Let a = 1 - 2. Let y = a + r. List the prime factors of y. 5 Let k(x) = 5*x**2 + 1. Suppose -1 = 4*d + 3. List the prime factors of k(d). 2, 3 Let d = 15 - -45. List the prime factors of d. 2, 3, 5 Suppose -4*f - 89 = -37. Let b = -8 - f. List the prime factors of b. 5 Let s be (2*1)/(16/24). Suppose b - 64 = -s*b. What are the prime factors of b? 2 Let p = -3 - -2. Let g be (-1)/(p/(0 + 1)). List the prime factors of 6 + g + -2 - -2. 7 What are the prime factors of 87*(5/(-10))/(3/(-2))? 29 Let f(d) = d**2 - 5*d - 2. Let c be f(5). Let u = c - -13. List the prime factors of u. 11 Let k(y) = y**3 - 5*y**2 + 3*y - 5. List the prime factors of k(6). 7 Let t = 72 - 39. List the prime factors of t. 3, 11 Let q(l) = 3 - 4*l - 4 + 4*l**3 - 3*l**3 + 4 + l**2. What are the prime factors of q(3)? 3 Let s(w) = w - 2. Let j be s(5). Let l = j - -20. Suppose -4*d + 8 = 0, -30 - l = -5*z - 4*d. What are the prime factors of z? 3 Let a be 1*(1 - (2 - 2)). Let g = 8 - a. What are the prime factors of g? 7 Let j = -1 - -3. Let m(f) = 0*f**j + 2*f**2 + 3 + 0*f - 3*f. List the prime factors of m(2). 5 What are the prime factors of (81/2)/((-60)/(-80))? 2, 3 Let i(w) = 2*w**2 + 2*w - 3. Let j be i(-3). Suppose j = 5*b - 1. Suppose 0 = -b*d - 2*z + 7*z - 11, 4*z = 2*d + 8. List the prime factors of d. 2 Suppose 0 = -3*o, 2*v - 340 = -2*v + 2*o. Suppose 0 = 5*w + 25 - v. What are the prime factors of w? 2, 3 Let x = 2 - -118. What are the prime factors of x? 2, 3, 5 Let y = -10 +
{ "pile_set_name": "DM Mathematics" }
- 1 What is the r'th term of -11168, -22337, -33504, -44669, -55832? r**2 - 11172*r + 3 What is the l'th term of 17537, 17528, 17513, 17492, 17465, 17432, 17393? -3*l**2 + 17540 What is the v'th term of 979, 3959, 8929, 15889, 24839? 995*v**2 - 5*v - 11 What is the p'th term of -37, -108, -239, -454, -777, -1232, -1843, -2634? -4*p**3 - 6*p**2 - 25*p - 2 What is the u'th term of 56, -127, -670, -1753, -3556, -6259, -10042? -30*u**3 + 27*u + 59 What is the w'th term of 215, 672, 1351, 2234, 3303, 4540, 5927, 7446? -3*w**3 + 129*w**2 + 91*w - 2 What is the p'th term of -6907, -6910, -6913, -6916, -6919, -6922? -3*p - 6904 What is the t'th term of -4399, -4314, -4215, -4096, -3951, -3774, -3559, -3300? t**3 + t**2 + 75*t - 4476 What is the j'th term of 21012, 42027, 63042? 21015*j - 3 What is the i'th term of 252, 593, 1158, 1947? 112*i**2 + 5*i + 135 What is the c'th term of -1501, -1594, -1833, -2290, -3037? -12*c**3 - c**2 - 6*c - 1482 What is the u'th term of -767, -1117, -1485, -1877, -2299, -2757, -3257, -3805? -u**3 - 3*u**2 - 334*u - 429 What is the h'th term of -23029, -46062, -69095, -92128, -115161, -138194? -23033*h + 4 What is the p'th term of -334, -718, -1102, -1486? -384*p + 50 What is the o'th term of 128277, 128301, 128325, 128349, 128373? 24*o + 128253 What is the q'th term of 96526, 193050, 289574? 96524*q + 2 What is the c'th term of -2592, -2496, -2388, -2262, -2112, -1932, -1716, -1458? c**3 + 89*c - 2682 What is the d'th term of -1186, -1855, -2524, -3193, -3862? -669*d - 517 What is the j'th term of 304, 555, 806, 1057, 1308? 251*j + 53 What is the n'th term of 4869, 9776, 14769, 19890, 25181, 30684? 7*n**3 + n**2 + 4855*n + 6 What is the r'th term of 270, 302, 344, 396, 458? 5*r**2 + 17*r + 248 What is the u'th term of -106347, -212692, -319037, -425382? -106345*u - 2 What is the z'th term of 165485, 165486, 165487? z + 165484 What is the z'th term of 1324, 5292, 11902, 21154, 33048, 47584? 1321*z**2 + 5*z - 2 What is the m'th term of -2895, -10578, -23063, -40356, -62463, -89390? -m**3 - 2395*m**2 - 491*m - 8 What is the a'th term of 3144, 6488, 9832, 13176, 16520, 19864? 3344*a - 200 What is the m'th term of 226534, 453026, 679508, 905974, 1132418? -m**3 + m**2 + 226496*m + 38 What is the m'th term of 1215, 2413, 3611? 1198*m + 17 What is the d'th term of -659, -1311, -1963? -652*d - 7 What is the w'th term of -1280, -2518, -3748, -4970, -6184, -7390? 4*w**2 - 1250*w - 34 What is the f'th term of 95833, 95841, 95849, 95857, 95865, 95873? 8*f + 95825 What is the z'th term of -1464, -1433, -1382, -1311, -1220, -1109? 10*z**2 + z - 1475 What is the u'th term of -8488, -8473, -8450, -8413, -8356, -8273, -8158? u**3 - 2*u**2 + 14*u - 8501 What is the b'th term of -3355, -6721, -10099, -13489, -16891? -6*b**2 - 3348*b - 1 What is the i'th term of -388, -768, -1160, -1564, -1980? -6*i**2 - 362*i - 20 What is the y'th term of 68, 276, 632, 1142, 1812, 2648? y**3 + 68*y**2 - 3*y + 2 What is the o'th term of 3091, 6176, 9257, 12334? -2*o**2 + 3091*o + 2 What is the r'th term of -402329, -804653, -1206975, -1609295, -2011613, -2413929? r**2 - 402327*r - 3 What is the t'th term of -2840, -5656, -8470, -11282, -14092, -16900, -19706? t**2 - 2819*t - 22 What is the l'th term of 259, 592, 949, 1330, 1735, 2164, 2617? 12*l**2 + 297*l - 50 What is the i'th term of 150, 289, 416, 531, 634, 725? -6*i**2 + 157*i - 1 What is the g'th term of 51, -30, -113, -198, -285, -374? -g**2 - 78*g + 130 What is the d'th term of 1534, 3104, 4672, 6238, 7802? -d**2 + 1573*d - 38 What is the l'th term of 16208, 32417, 48626, 64835, 81044? 16209*l - 1 What is the u'th term of 5092, 5644, 6196, 6748? 552*u + 4540 What is the y'th term of 56438, 56488, 56536, 56582, 56626, 56668, 56708? -y**2 + 53*y + 56386 What is the v'th term of 10312, 20535, 30758, 40981, 51204, 61427? 10223*v + 89 What is the k'th term of 193, 1002, 2355, 4258, 6717, 9738? k**3 + 266*k**2 + 4*k - 78 What is the r'th term of 86498, 86489, 86472, 86447? -4*r**2 + 3*r + 86499 What is the c'th term of -33619, -33618, -33617, -33616, -33615, -33614? c - 33620 What is the p'th term of 4750, 4369, 3988, 3607? -381*p + 5131 What is the p'th term of -52, -118, -246, -454, -760? -3*p**3 - 13*p**2 - 6*p - 30 What is the l'th term of 2090, 8608, 19476, 34694, 54262? 2175*l**2 - 7*l - 78 What is the b'th term of 227, 1761, 5895, 13925, 27147, 46857, 74351? 216*b**3 + 4*b**2 + 10*b - 3 What is the k'th term of -9, 329, 891, 1671, 2663, 3861, 5259, 6851? -k**3 + 118*k**2 - 9*k - 117 What is the q'th term of -5236, -4933, -4630, -4327? 303*q - 5539 What is the h'th term of 2, 41, 86, 137, 194, 257? 3*h**2 + 30*h - 31 What is the s'th term of -4033, -7965, -11897, -15829, -19761, -23693? -3932*s - 101 What is the z'th term of -28473, -28446, -28411, -28368, -28317, -28258, -28191? 4*z**2 + 15*z - 28492 What is the y'th term of -2313, -18564, -62669, -148554, -290145, -501368, -796149? -2321*y**3 - y**2 - y + 10 What is the o'th term of -264182, -264174, -264154, -264116, -264054? o**3 + o - 264184 What is the i'th term of 59, 36, -183, -706, -1641, -3096, -5179, -7998? -18*i**3 + 10*i**2 + 73*i - 6 What is the q'th term of 80, 484, 1576, 3698, 7192? 57*q**3 + 2*q**2 - q + 22 What is the v'th term of 2309, 4614, 6915, 9212, 11505, 13794, 16079? -2*v**2 + 2311*v What is the a'th term of 23, 91, 285, 665, 1291, 2223, 3521, 5245? 10*a**3 + 3*a**2 - 11*a + 21 What is the r'th term of 83662, 83686, 83724, 83782, 83866, 83982? r**3 + r**2 + 14*r + 83646 What is the d'th term of 1312, 2170, 3030, 3892, 4756, 5622? d**2 + 855*d + 456 What is the d'th term of -30, 66, 158, 246, 330? -2*d**2 + 102*d - 130 What is the t'th term of 77, -47, -385, -1045, -2135, -3763? -18*t**3 + t**2 - t + 95 What is the c'th term of 44, 47, 8, -79, -220, -421, -688, -1027? -c**3 - 15*c**2 + 55*c + 5 What is the j'th term of 80, 264, 572, 1010, 1584, 2300, 3164? j**3 + 56*j**2 + 9*j + 14 What is the o'th term of 4587, 4610, 4633, 4656, 4679? 23*o + 4564 What is the f'th term of 865297, 1730593, 2595889, 3461185, 4326481, 5191777? 865296*f + 1 What is the z'th term of 715, 717, 719, 721, 723, 725? 2*z + 713 What is the u'th term of 331, 558, 785, 1012? 227*u + 104 What is the o'th term of 3100, 3115, 3130, 3145, 3160, 3175? 15*o + 3085 What is the y'th term of 232, 161, 74, -35, -172? -y**3 - 2*y**2 - 58*y + 293 What is the d'th term of -156, -957, -3052, -7089, -13716, -23581, -37332? -108*d**3 + d**2 - 48*d - 1 What is the l'th term of 125, 240, 357, 476? l**2 + 112*l + 12 What is the a'th term of 404, 379, 352, 323, 292, 259? -a**2 - 22*a + 427 What is the n'th term of -505676, -1011351, -1517026, -2022701? -505675*n - 1 What is the z'th term of 8113, 8128, 8155, 8194, 8245, 8308, 8383? 6*z**2 - 3*z + 8110 What is the k'th term of 21602, 21602, 21604, 21608? k**2 - 3*k + 21604 What is the b'th term of -10, 80, 226, 428, 686, 1000, 1370? 28*b**2 + 6*b - 44 What is the q'th term of 146, 531, 1164, 2045, 3174, 4551? 124*q**2 + 13*q + 9 What is the i'th term of -5141, -5155, -5169? -14*i - 5127 What is the n'th term of 253, 193, 35, -269, -767? -8*n**3 - n**2 - n + 263 What is the k'th term of -4621, -18443, -41479, -73735, -115217, -165931, -225883? -k**3 - 4601*k**2 - 12*k - 7 What is the u'th term of -11459, -11456, -11453, -11450? 3*u - 11462 What is the n'th term of 1475679, 1475678, 1475677, 1475676? -n + 1475680 What is the i'th term of 77, 6, -99, -238, -411? -17*i**2 - 20*i + 114 What is the q'th term of 76666, 76667, 76668, 76669? q + 76665 What is the l'th term of 325, 548, 769, 988, 1205? -l**2 + 226*l + 100 What is the x'th term of -20805, -20804, -20803, -20802? x - 20806 What is the v'th term of 268, 133, -2, -137, -272? -135*v + 403 What is the m'th term of 3285, 6541, 9797? 3256*m + 29 What is the x'th term of 825, 1647, 2463, 3267, 4053? -x**3 + 3*x**2 + 820*x + 3 What is the y'th term of -686, -639, -590, -539, -486, -431, -374? y**2 + 44*y - 731 What is the b'th term of -113768, -113772, -113776, -113780, -113784? -4*b - 113764 What is the y'th term of 35, 24, -9, -76, -189, -360? -2*y**3 + y**2 + 36 What is the s'th term of -69084, -138165, -207246, -276327, -345408, -414489? -69081*s - 3 What is the k'th te
{ "pile_set_name": "DM Mathematics" }
*p**2 + 6*p + 13. Let r be n(-2). Let g = c - r. What is the remainder when 23 is divided by g? 10 Suppose 4*w = -2*g + 12 + 16, -3*g - w = -27. What is the remainder when 22 is divided by g*(-1 + -1 - -3)? 6 Suppose 3*y - 12 = y. Suppose -6*j + 11 = -5*j. Calculate the remainder when 184/y - 6/(-18) is divided by j. 9 Let g(b) = 17*b**2 - 4*b + 7. Let d be g(4). Suppose 2*f - 36 = r + 67, 5*f + 3*r = d. What is the remainder when f is divided by 9? 7 Let z = 7 + -3. Let q = 18 - 17. Suppose -q - 13 = -m. Calculate the remainder when m is divided by z. 2 Let i = 1356 + -1347. Calculate the remainder when 97 is divided by i. 7 Suppose 13*v - 3132 = 7*v. Suppose 3*u - h - 395 = 0, 3*h - 2*h = -4*u + v. What is the remainder when u is divided by 22? 21 Let h(o) = o + 20. Let i be h(-18). Suppose 44 = 2*n - 18*u + 13*u, i*n = -u + 20. What is the remainder when 94 is divided by n? 10 Suppose -3*t + 4*t = 12. Let p = -20 + t. Let k(x) = -5*x - 11. What is the remainder when k(p) is divided by 8? 5 Let r(s) = -2*s - 8. Calculate the remainder when (4 + (-17 - -11))/((-4)/40) is divided by r(-7). 2 Let c(o) = 2*o**2 + 11*o - 190. What is the remainder when 669 is divided by c(-13)? 4 Let r = 13 - 7. Suppose -2 = -2*l + r. Suppose 9 = l*x - x. Calculate the remainder when 11 is divided by x. 2 Let b(r) = r**2 - 18*r + 58. What is the remainder when 50 is divided by b(3)? 11 Suppose 11*j - 64*j = -9487. Calculate the remainder when j is divided by 45. 44 Let a = 57 - 45. Calculate the remainder when 42 is divided by a. 6 Let q = 0 + 5. Suppose -6 = -5*y + 29. What is the remainder when y is divided by q? 2 Suppose -5*j - 4*l + 9*l = -1465, l = -2*j + 589. Suppose 14*s - 9*s = -p + 64, 299 = 5*p + 4*s. Calculate the remainder when j is divided by p. 58 Let k(a) = -a**2 - 22*a - 23. What is the remainder when k(-17) is divided by 9? 8 Let a be (-3)/(-12) + (-1535)/(-20) - 1. Let z = 96 - a. What is the remainder when 79 is divided by z? 19 Let w = 1950 + -1802. What is the remainder when w is divided by 19? 15 Suppose -5*s + 63 = -172. Calculate the remainder when 238 is divided by s + 33/22*(-4)/(-6). 46 Let g be 2*8 - (-5 - -8). Suppose -11*u = -g*u + 26. Calculate the remainder when 74 is divided by u. 9 Suppose -7*s + 134 + 104 = 0. Suppose 2*o = -3*l + 86, -2*l + 2*o = -3*l + s. What is the remainder when 51 is divided by l? 25 Suppose -2*q + 5 = -21. Suppose -2*g + 28*w + 110 = 23*w, -4*g = -5*w - 230. Calculate the remainder when g is divided by q. 8 Let v = -21 + 27. Let y(n) = n**2 - 5*n. Let l be y(v). Calculate the remainder when 40 + -1 - (l + -2) is divided by 18. 17 Let m(n) = -n**2 - 3*n. Let k be m(-3). Suppose k = -2*b - 4*c + 52, -b = -0*b + c - 21. Calculate the remainder when 56 is divided by b. 8 Let g be (1 + 1)/((-1)/5). Let u = -5 - g. Suppose -54 = -4*r - 2*h - 4, 0 = 3*r - 4*h - 43. What is the remainder when r is divided by u? 3 Let i(g) = -g**3 + 16*g**2 - 15*g + 6. Let t be i(15). Calculate the remainder when ((2 - 4) + 24)*t/4 is divided by 20. 13 Let u be (8/2)/2 - -910. Suppose 7*n - u = 3*n. Calculate the remainder when n is divided by 46. 44 What is the remainder when 4*(-3947)/(-44) + (-4)/(-22) is divided by 117? 8 Suppose -26*l = 39*l - 3965. Calculate the remainder when l is divided by 34. 27 Let j = 77 - 20. Suppose -4*t + 165 = -67. Let q = t - 38. Calculate the remainder when j is divided by q. 17 Let w = 1305 + -752. Calculate the remainder when w is divided by 15. 13 Suppose -12 + 3 = -3*r. Suppose -4*t - 386 = -r*u, u + 2*t - 116 = -3*t. What is the remainder when u is divided by 33? 27 Calculate the remainder when 2/(8/256 - 0) is divided by 20. 4 Let v(q) = -q**2 - 11*q - 9. Let c be v(-8). Let u = 13 - c. Calculate the remainder when 109 is divided by (-7)/14 + (-57)/u. 25 Let k(q) = 48*q - 170. Calculate the remainder when k(6) is divided by 20. 18 Let i(d) = -d + 7. Let j be i(5). Suppose 3*l + 30 = h, 0 = -4*h + j*h + 6. What is the remainder when 6/(-2) + (-90)/l is divided by 3? 1 Suppose 0 = -2*z - z + w + 660, -3*w - 433 = -2*z. What is the remainder when z is divided by 32? 29 Suppose 5*o = o + 28. Let m(v) = -v**3 + 25*v**2 - 66*v + 26. Calculate the remainder when m(22) is divided by o. 5 Let s be 23 + 2 - (-2 + -2). Let m = -28 + s. Calculate the remainder when m/(3/(1230/5)) is divided by 21. 19 Suppose 732 = 4*b - 2*b. Let s be b/2 + (-2 - 1). Suppose 4*z - 4*i = -0 + s, -3*i = 0. Calculate the remainder when z is divided by 24. 21 Suppose 588 = 2*a + 5*a. Suppose -3*f + a = -4*g - 7, f - 5*g - 23 = 0. Let v = f - 16. Calculate the remainder when 32 is divided by v. 15 Suppose -3*x + 16 = c + 1, -5*c = -15. Suppose 0 = -x*g - 0*o - 2*o + 48, -4*o = g - 19. Calculate the remainder when 74 is divided by g. 8 Let n = 200 - 191. Calculate the remainder when 30 is divided by n. 3 Let w be 4*((-15)/(-6))/5. Suppose 10*d + 160 = 26*d. Calculate the remainder when (98/4)/(1/w) is divided by d. 9 Let w(j) = j**3 + j. Let y be w(0). Suppose 2*d + 2*i - 38 = 0, -2*d - 3*i + 23 + 19 = y. Calculate the remainder when 74 is divided by d. 14 Suppose -221*m + 261*m - 3120 = 0. What is the remainder when 311 is divided by m? 77 Suppose 2*d + 8 = 56. Let u = 196 + -103. Calculate the remainder when u is divided by d. 21 Suppose 4*h = 2*h + 18. Calculate the remainder when 20 is divided by h. 2 Suppose -q + 314 = 3*x + 2*x, -3*x + q + 190 = 0. Calculate the remainder when 120 is divided by x. 57 Suppose -692 - 276 = -8*p. Calculate the remainder when p is divided by 31. 28 Let q = 240 - 232. Calculate the remainder when 19 is divided by q. 3 Suppose -207 = -3*r + 171. Suppose -2*b + 3*b = r. What is the remainder when b is divided by 32? 30 Let i(x) = x**3 - 10*x**2 + x + 6. What is the remainder when 21 is divided by i(10)? 5 Suppose 2*o = 4*n + 34, 4*n = -66 + 74. Calculate the remainder when 0 + (-16)/6*-21 is divided by o. 14 Suppose 2*p + 3*j + 0*j - 2 = 0, -j - 4 = 0. What is the remainder when 109 is divided by p? 4 Suppose 1179 = 44*o - 4541. Let x(n) = -4*n**3 + 1. What is the remainder when o is divided by x(-2)? 31 Suppose 18*k + 1310 = 5*m + 14*k, 786 = 3*m - 4*k. What is the remainder when m is divided by 15? 7 Suppose -5*j - 4*x + 86 = 0, 0 = -3*x - 6 + 18. Let b = -44 + 112. Calculate the remainder when b is divided by j. 12 Calculate the remainder when 288 is divided by (-43)/((-35)/(-10) - 36/8). 30 What is the remainder when 35 is divided by (2 + -3)/(-1) + -3 + 11? 8 Suppose 1596 - 231 = 39*f. What is the remainder when 147 is divided by f? 7 Let v = -90 + 93. Suppose v*a - 57 = -21. What is the remainder when 166 is divided by a? 10 Let d be 4/2 - 6 - 19. Let k = 21 + d. Let g(y) = 8*y**2 + 2*y + 3. Calculate the remainder when 59 is divided by g(k). 28 Suppose -5*o = -9*o. Suppose -4*n - 5*k = -o*n - 12, n = 5*k - 22. What is the remainder when 35 is divided by 110/11 + n/2? 8 Let k(n) = -14*n**2 - 37*n - 6. Let p = -9 - -13. Suppose p*f - 4*j + 2*j = 182, 4*f - 197 = -3*j. What is the remainder when f is divided by k(-2)? 11 Let a(d) = 2*d - 4. Let z(v) = -151*v - 744. What is the remainder when z(-5) is divided by a(6)? 3 What is the remainder when 121 is divided by (-22)/12 + 1 - (-57938)/708? 40 Suppose -5*z + 10 + 5 = 0. Suppose 0 = 4*v + 5 + z, -5*l - 3*v = -4. Suppose -l*s = -2*d - 20, -d + 2 = 3. What is the remainder when 33 is divided by s? 6 Let n(z) = -z**3 - 3*z**2 - 2*z + 115. What is the remainder when n(0) is divided by 59? 56 Let h(u) = u**2 + 11*u - 3. Let r be h(-11). What is the remainder when (164/(-8) + r/6)*-5 is divided by 18? 15 Let b = -136 - -197. Let g(v) = -v**3 - 7*v**2 - 4*v - 7. Calculate the remainder when b is divided by g(-7). 19 Let f = -1525 - -1572. What is the remainder when 419 is divided by f? 43 Let u = 418 - 415. What is the remainder when 7 is divided by u? 1 Let m = 44 + -39. Let r(z) = 2 - 22*z - 3 + 0 + 8*z. Calculate the remainder when r(-1) is divided by m. 3 Suppose -3*w + 48*t + 1074 = 51*t, -4*t = -3*w + 1053. Calculate the remainder when w is divided by 20. 15 Suppose p + 0 = -1, 0 = -2*v + 4*p + 20. Let z(i) = -7 + 4 + 5 + i. What is the remainder when 46 is divided by z(v)? 6 Let x(v) = -6*v + 6. Let w be x(6). What is the remainder w
{ "pile_set_name": "DM Mathematics" }
se 7, what is -43 + 2221? 2145 In base 12, what is 36a - 26? 344 In base 10, what is -1505 + 15? -1490 In base 9, what is 0 + 14683? 14683 In base 6, what is -13 - -404543? 404530 In base 15, what is 38c + -ac? 2d0 In base 9, what is -27206 + -2? -27208 In base 7, what is 65 + 16063? 16161 In base 13, what is 540 + 35? 575 In base 7, what is 1043 + -2003? -630 In base 14, what is -1 - b174? -b175 In base 13, what is 199269 + -2? 199267 In base 9, what is -125 - -713? 577 In base 7, what is 0 + -2234? -2234 In base 6, what is -153554 + 2? -153552 In base 8, what is 3 - -77704? 77707 In base 6, what is -12 - 12113? -12125 In base 4, what is -12000031 + 1? -12000030 In base 15, what is 1 - -3218? 3219 In base 15, what is 6720 + 32? 6752 In base 8, what is 5703 + 620? 6523 In base 8, what is 310106 + -31? 310055 In base 14, what is b9ccc - 5? b9cc7 In base 3, what is -102000122 - 0? -102000122 In base 6, what is -4135 - 2023? -10202 In base 4, what is -1 + -10031032? -10031033 In base 3, what is 102200001110 + 20? 102200001200 In base 10, what is -6 - -16724? 16718 In base 14, what is 50b - -b9? 5c6 In base 11, what is 51 + -39446? -393a5 In base 8, what is -25 - -650? 623 In base 14, what is -281 + 10? -271 In base 15, what is 15 + 3? 18 In base 14, what is 0 + -2aa1c? -2aa1c In base 5, what is -3 + -20312233? -20312241 In base 11, what is -581 + 15? -567 In base 12, what is -1b + a5? 86 In base 7, what is -43 - -40? -3 In base 11, what is -3a7a - -46? -3a34 In base 10, what is 26753 + 2? 26755 In base 6, what is -5 - 30423313? -30423322 In base 10, what is 5234 + -423? 4811 In base 2, what is 1000111001 + 111100111? 10000100000 In base 7, what is -21562 - -14? -21545 In base 10, what is 1626 + 861? 2487 In base 13, what is -8b + -204? -292 In base 3, what is 1000020 - -100? 1000120 In base 16, what is -f + -63a? -649 In base 13, what is 360a + 2? 360c In base 2, what is 10 + 11111101011001? 11111101011011 In base 6, what is 111 + 412312? 412423 In base 14, what is -2 - 19949? -1994b In base 3, what is -10001010 - -202111? -2021122 In base 11, what is 364 + -1195? -931 In base 9, what is 8 - 220838? -220830 In base 10, what is 646 - -47? 693 In base 5, what is -124240304 + -2? -124240311 In base 7, what is -3 - -5522? 5516 In base 5, what is -2330 + 422102? 414222 In base 4, what is 10033 - 110210? -100111 In base 10, what is -6409 + -14? -6423 In base 14, what is 4 + 47483? 47487 In base 3, what is 1202 + 220111? 222020 In base 8, what is 3 + -17247? -17244 In base 4, what is -21022 + 31? -20331 In base 6, what is -3 - -112521? 112514 In base 4, what is -33212 + -30023? -123301 In base 2, what is -1000011 - 1100010101? -1101011000 In base 14, what is 3 + 1dd3a? 1dd3d In base 6, what is -13 + 10310? 10253 In base 8, what is 13 + 27444? 27457 In base 7, what is 4 + -360624? -360620 In base 6, what is -2150 + 40? -2110 In base 14, what is 5 - 3a0dad? -3a0da8 In base 5, what is -2334 - 32? -2421 In base 15, what is -4a15 + -3? -4a18 In base 15, what is -2d + -19? -47 In base 15, what is -5 - 84e9? -84ee In base 9, what is 588185 - -3? 588188 In base 10, what is 138666 + -4? 138662 In base 12, what is 2 + -2b75? -2b73 In base 13, what is 3 + -16051? -1604b In base 14, what is 5 + -3810? -3809 In base 6, what is -51234 - -4? -51230 In base 4, what is -3100 + -10102011? -10111111 In base 12, what is 1 - 2164? -2163 In base 2, what is 100111011 - 1101? 100101110 In base 3, what is -11201002201 - -1? -11201002200 In base 4, what is -1 - -20211013? 20211012 In base 13, what is -1731 - -4? -172a In base 12, what is 4 - -6a12? 6a16 In base 16, what is 1f95 - -d2? 2067 In base 15, what is -19 - -16? -3 In base 2, what is -1111010011111010111 + -11? -1111010011111011010 In base 8, what is -2 + 104435? 104433 In base 12, what is -5 - 1070b1? -1070b6 In base 4, what is 1 + -3031323122? -3031323121 In base 8, what is -5 + 1722? 1715 In base 15, what is 1 + -4c5b6? -4c5b5 In base 4, what is -100 - 12100030? -12100130 In base 5, what is -21321 + 331? -20440 In base 5, what is -1332444 + 230? -1332214 In base 12, what is 42aa + -76? 4234 In base 14, what is -327 + -bb? -404 In base 6, what is 5 + 4221454? 4221503 In base 6, what is 244323 - -1? 244324 In base 3, what is -12 + -11122201? -11122220 In base 8, what is -3 + 25173? 25170 In base 4, what is 1232 - -1023121? 1031013 In base 14, what is 1 - -38a9? 38aa In base 15, what is -2c6e - -90? -2bce In base 2, what is 100100001100 - 1101000? 100010100100 In base 11, what is 1a18327 - 0? 1a18327 In base 12, what is 146 - 562? -418 In base 3, what is 10102 - -110212011? 110222120 In base 15, what is -12293 + -2? -12295 In base 9, what is -6312 + -14? -6326 In base 2, what is 10011000100001111001 + 1? 10011000100001111010 In base 8, what is 4253211 + 4? 4253215 In base 12, what is 5 - 453a39? -453a34 In base 3, what is -1121221 + 121001? -1000220 In base 8, what is 4 - 225434? -225430 In base 2, what is -1000110000110 + -1111000? -1000111111110 In base 15, what is -31a3de + 0? -31a3de In base 5, what is -10 + -11240340? -11240400 In base 12, what is 2 - -5539a? 553a0 In base 13, what is 2bcb1 - 2? 2bcac In base 11, what is 12846 - -3? 12849 In base 4, what is -32311021 - 0? -32311021 In base 3, what is 210212011 + 1021? 210220102 In base 13, what is 908 - -48? 953 In base 12, what is 6456a - -2? 64570 In base 7, what is -210 + -206? -416 In base 5, what is 1131112 + -312? 1130300 In base 9, what is -431 + 1085? 554 In base 13, what is a2 + 2398? 246a In base 11, what is 42 + -160? -119 In base 4, what is 311 - 30231? -23320 In base 12, what is -4 + 745ab? 745a7 In base 5, what is -33000 + 3101? -24344 In base 3, what is 1 + 1102211201101? 1102211201102 In base 15, what is c17 + -3? c14 In base 12, what is -81a - -12? -808 In base 12, what is a8243 + -1? a8242 In base 8, what is -151 + 103? -46 In base 16, what is 1b - 32a? -30f In base 14, what is -53b + -5a? -597 In base 8, what is -3 + 74526? 74523 In base 11, what is 4 + -a2203? -a21aa In base 9, what is -576752 + 14? -576737 In base 11, what is aa5 - -12a5? 229a In base 7, what is 610022 + 25? 610050 In base 16, what is -6 + -124d5b? -124d61 In base 10, what is -5377 - 6? -5383 In base 3, what is -12011 - 20112002? -20201020 In base 5, what is 3 + 141333? 141341 In base 14, what is -1006 - -949? -49b In base 9, what is 77300 + -2? 77287 In base 10, what is -175806 + 4? -175802 In base 6, what is 344 - -54? 442 In base 2, what is 10001101100 - 10011? 10001011001 In base 7, what is 113 - 13401? -13255 In base 4, what is 10 - 10013212? -10013202 In base 3, what is 12021122 - 2102? 12012020 In base 15, what is 1bc370 - 2? 1bc36d In base 5, what is -2 - -301304? 301302 In base 15, what is -71b9 - -27? -7192 In base 6, what is 25440 - -2? 25442 In base 9, what is 6575 + -8? 6566 In base 11, what is -1518 + -75? -1592 In base 3, what is 2 + 1211000020? 1211000022 In base 15, what is 48c + -213? 279 In base 5, what is -2121 + -30234? -32410 In base 13, what is 209 + 48? 254 In base 3, what is 111 - -122102100? 122102211 In base 13, what is 11663 - a8? 11588 In base 9, what is 3 + -214361? -214357 In base 9, what is 374727 - -4? 374732 In base 5, what is 343 + -1432? -1034 In base 7, what is -114 - 10244? -10361 In base 15, what is 3e4 - 3c? 3a7 In base 13, what is -96 + 1a3? 10a In base 11, what is 82 + 720? 7a2 In base 16, what is 3 - 6fd7? -6fd4 In base 4, what is -23302313 + -2? -23302321 In base 10, what is 76 - -13? 89 In base 7, what is -122644 - -3? -122641 In base 5, what is 24114 - -114? 24233 In base 11, what is 82 + -670? -599 In base 12, what is 11 - 20a4? -2093 In base 12, what is 2 - -3b3aa? 3b3b0 In base 4, what is -11200211 - -1220? -11132331 In base 6, what is -1230 - 1254? -2524 In base 16, what is 1 + 31e6? 31e7 In base 5, what is -10 + -213434004? -213434014 In base 10, what is -1392958 + 5? -1392953 In base 11, what is -1780 + -30? -1800 In base 10, what is 644 + 474? 1118 In base 8, what is -4 + -367441? -367445 In base 9, what is 2880 + -55? 2824 In base 16, what is -19cd - -1? -19cc In base 16, what is -5 - 75a03? -75a08 In base 15, what is -8b4 + -2? -8b6 In base 14, what is -10322 + -18? -1033a In base 9, what is -3 - -26111? 26107 In base 1
{ "pile_set_name": "DM Mathematics" }
Let g(t) = -t - 9. Let q be g(-8). Let o = q + -9. Let s(i) = i**3 + 9*i**2 - 10*i + 6. What is the units digit of s(o)? 6 Let w(o) = -2*o - 51. Let m be w(21). Let y = 183 + m. What is the tens digit of y? 9 Let x = -77 + 86. Suppose -1840 = -x*g + g. What is the units digit of g? 0 Let c be 8 + 4 + -3*1. What is the tens digit of 6/2*c + -1? 2 Suppose -9*n - 3*j = -14*n + 6335, 4*j - 2508 = -2*n. What is the thousands digit of n? 1 Let g(z) = z**2 - 5*z - 2. Let n be g(-2). What is the tens digit of (133/(-42) - -3) + 2294/n? 9 What is the hundreds digit of ((-42)/4)/((-14)/700)? 5 Let i(z) = 103*z - 387. What is the hundreds digit of i(9)? 5 Let r(v) = -v**2 - v + 2. Let m be r(-2). Suppose m = u - 0*g + 2*g, 4*u = 5*g. Suppose -3*w + u*w = -75. What is the units digit of w? 5 Let r(j) be the second derivative of j**3/2 - 8*j**2 - 2*j. Let l be 3 + 2 - (-2 + -2). What is the tens digit of r(l)? 1 Let k(y) = 12*y**2 + 4*y + 7. Let n be k(-4). Let d = -106 + n. Let g = d - 38. What is the tens digit of g? 3 Suppose -4*u + 11 = -1. Let a be 2 + -1*(u - 3). Suppose a*o + 10 = 3*o. What is the units digit of o? 0 Suppose 978 - 9218 = -10*n. What is the units digit of n? 4 Let f(c) = 9*c + 11. Let n(h) = -10*h - 12. Let g(q) = -3*f(q) - 2*n(q). What is the units digit of g(-9)? 4 Let h = 753 - 528. Suppose 4*o = -5*f - h - 23, 5*f - 5*o = -275. Let q = -19 - f. What is the units digit of q? 3 Suppose 24*o - 143 - 769 = 0. What is the units digit of o? 8 Let a = -69 + 79. Suppose -a*g + 735 = -465. What is the tens digit of g? 2 Suppose 4*u + 0*u - 20 = 0. Suppose 3*s - 138 = -0*s + 2*i, i = u*s - 230. What is the units digit of s? 6 Let v(w) = 23*w - 7. Let b be v(2). What is the units digit of (-3 - b/(-12))*164? 1 Let g be 5 + -5 - (1 - 4). Suppose -5*d + g*o + 2*o + 350 = 0, 10 = -5*o. What is the tens digit of d? 6 Let w(n) = 580*n**2 - 5*n - 4. What is the tens digit of w(-1)? 8 Suppose -4*i + 1872 = 4*d, -i - 89*d + 84*d + 456 = 0. What is the tens digit of i? 7 Let y(u) = -9*u**3 - 4*u**2 - 6*u + 13. What is the units digit of y(-5)? 8 Suppose -3819 = -3*p - 4*h - 9849, -p + 5*h - 2010 = 0. What is the units digit of (7/3 + -2)/((-10)/p)? 7 Let s(u) be the second derivative of -u**3/6 + 28*u**2 - 3*u. Let a be s(0). Suppose -t - 2 = -4*z - 6, -3*t + z + a = 0. What is the tens digit of t? 2 Suppose 218 = -3*j + 5*o + 3050, -o - 3759 = -4*j. What is the tens digit of j? 3 Suppose -2*o - 12 = g, -6*o + 2*o = 4*g + 32. Let d be o/((-2)/(-1))*-5. What is the tens digit of d/(1 + (-3)/4)? 4 Let l = -4 - -1. What is the units digit of 4 - (-11)/l - (-285)/9? 2 Suppose s - 5*i - 186 = 0, -3*i + 0*i = 2*s - 372. What is the tens digit of (s/8)/((-3)/(-12))? 9 What is the hundreds digit of (-10)/(-15) + 14352/18? 7 Suppose 4*j = -3*y + 1185, -88*j - 5*y = -90*j + 625. What is the tens digit of j? 0 Let w(b) = 86*b - 495. What is the thousands digit of w(35)? 2 Let y(w) = w**3 + 16*w**2 - 2*w - 24. Let m be y(-16). Let r = -3 + m. Suppose 2*p - 91 = -r*k, -5*p + 45 + 133 = -4*k. What is the tens digit of p? 3 Let k = -24 + 19. What is the tens digit of -2*(-3 - (-51)/5)*k? 7 Suppose -11*i = -7*i - 16, 0 = 2*f + 4*i - 114. What is the tens digit of f? 4 Let b(a) = 7*a + 11. Let x(g) = 3*g + 5. Let d(l) = 2*b(l) - 5*x(l). Let j be 2*((-52)/8 - -4). What is the units digit of d(j)? 2 Let y be (-57)/(-21) + 4/14. Suppose -5*i + 15 = 2*h - h, -10 = -2*h. Let t = i + y. What is the units digit of t? 5 Let w = -139 + 319. Suppose 0 = 18*g - 23*g + w. What is the units digit of g? 6 What is the units digit of (-128 - -117)*(-67 - 1)? 8 Let m be ((-24)/10)/((-20)/150). What is the tens digit of -99*(-4 - m/(-6))? 9 Let u(k) = 67*k**2 - 1. Let y be 0/(1 + -3) - 1. Let q be u(y). Let w = q - 13. What is the units digit of w? 3 Let q = -23 - -29. Let l(g) = 6*g + 9. What is the units digit of l(q)? 5 Let q = -196 + 289. What is the tens digit of 12 + -9 + (-4)/((-4)/q)? 9 What is the units digit of (-13848)/(-42) - 4/(-14)? 0 Let v = -1 + -14. Let l = -10 - v. Suppose -2*q - 2*f + 7 = -f, 4*q - l*f - 49 = 0. What is the units digit of q? 6 Let j be -1 + 0 - (399 + 5). Let k = 273 + j. What is the tens digit of (k/8)/(3/(-4))? 2 Let s(d) = -d**3 + 4*d**2 + 6*d + 3. Let o be s(-2). Suppose 4*l + 5 = -o, 5*j - 2*l - 145 = 0. What is the units digit of j? 7 Let m(l) = -l**3 - 13*l**2 - 20*l - 17. What is the tens digit of m(-12)? 7 What is the tens digit of 6*-1 - -6*4554/27? 0 Suppose 1694 = b - 1442. What is the tens digit of b? 3 Let s be (-80)/(-12) - (-3)/9. Suppose 2*q = s*q. Suppose 0 = -3*d - 5*y + 52, -d = -q*d - 5*y - 44. What is the tens digit of d? 2 Let p(b) = -10*b**3 - 18*b**2 - 27*b - 32. Let f(s) = -3*s**3 - 6*s**2 - 9*s - 11. Let o(j) = 7*f(j) - 2*p(j). What is the units digit of o(-5)? 7 Suppose 16*n + 32 = 3904. Let z = -46 + n. What is the hundreds digit of z? 1 Suppose -2*g + 395 = -5*d, -g - 3*d + 119 = -51. Let c = -98 + g. What is the tens digit of c? 8 Let u(j) = 10*j - 3. Suppose o = 11 - 1. What is the tens digit of u(o)? 9 Let o(g) = 2*g**2 - g - 2. Let d be o(2). Suppose -2*b + d + 0 = 0. What is the units digit of 1 + 9 + (b - 3)? 9 Suppose -w + 5*d - 154 + 1439 = 0, 15 = -3*d. What is the units digit of w? 0 Let q(n) = -n**3 + 3*n**2 + 4. Let a be q(3). Suppose a*i = 12, -4*i - 763 = -5*c - 5*i. What is the hundreds digit of c? 1 Let b(t) = 4*t**2 - 70*t + 115. What is the hundreds digit of b(30)? 6 Suppose 20 = 3*g - s, -5*g - 3 = -s - 37. Suppose 4*p - g*l = -2*l + 254, 0 = -3*p - 5*l + 208. What is the tens digit of p? 6 Let i(n) = 2*n**2 - 4*n - 1. Let k be i(7). Suppose 3*b + k = 198. Suppose 11 = -2*u + b. What is the tens digit of u? 1 Let q be 16 + 3 + 1/(-1). Let m = -1 + q. What is the units digit of m? 7 Let b(p) be the first derivative of p**6/360 - p**5/120 - p**4/12 - p**3/3 - 4. Let w(z) be the third derivative of b(z). What is the units digit of w(-5)? 8 Let m(d) = 0 + d + 7*d**2 - 21*d + 6 - d**2. What is the hundreds digit of m(8)? 2 Let h(o) = 9 + 3*o**2 - 13*o + 6*o**2 - 3*o**2 + 4*o**3 - 3*o**3. What is the units digit of h(-6)? 7 Suppose -4*i + 378 = 42. What is the units digit of i - 8*(-1)/(-2)? 0 Let x(u) = 89*u - 8. Let k(m) = 45*m - 4. Let d(o) = -7*k(o) + 3*x(o). What is the units digit of d(-2)? 0 Suppose 0 = -2*w - t + 12, 0*w - 3*t + 24 = 4*w. Let q = 15 + w. Suppose 3*y = -q + 24. What is the units digit of y? 1 Let m(j) be the first derivative of -5*j**2/2 + 25*j + 9. What is the hundreds digit of m(-17)? 1 What is the units digit of (-6 - -18)/6 + 256? 8 Let o(g) = -3*g**2 - g + 425. What is the units digit of o(0)? 5 Suppose 0 = -3*l - 5*v + 243, 0 = l + 3*l - v - 324. Let f = l - 37. What is the tens digit of f? 4 What is the tens digit of (-33)/99 + (-5)/(45/(-858))? 9 Let r = 19 + -11. Suppose 5*m = -p - 34, 5*m - 8 = -2*p + 4*p. Let s = r - p. What is the units digit of s? 2 Let w(u) = u**3 + 8*u**2 - u + 9. Let t = 32 + -39. What is the tens digit of w(t)? 6 Let g(d) = -6*d - 3. Let k be g(-10). Let p = 120 - k. What is the tens digit of p? 6 Suppose -4 = -l + 10. What is the tens digit of 6/(-14) - (-1784)/l? 2 What is the hundreds digit of ((-24)/(-18))/(10/1875)? 2 Let t(o) = -15*o**3 - 4*o**2 + 5*o - 4. Let u(a) = a**2 + 13*a + 14. Let r be u(-12). Let h be t(r). What is the units digit of (-4)/14 + h/(-14)? 9 Let d(u) = 15*u + 8. Let x(t) = 7*t + 4. Let i = -16 - -25. Let h(g) = i*x(g) - 4*d(g). What is the units digit of h(4)? 6 Suppose 5*k = i + 445, 4*i = k - 133 + 25. What is the units digit of k? 8 Suppose 5*v - 10 = 0, 45 = -3*b - 2*v + 5*v. Let w(u) = -u**3 - 11*u**2 + 6*u + 12. Let p be w(b). What is the units digit of ((-6)/4)/((-24)/p)? 7 Suppose 15830 + 14494 = 28*a. What is the hundreds digit of a? 0 What is the units digit of 54*(-20)/12*-2? 0 Let w be (8360/12)/2 - 1/3. Let c = w + -181. What is the units digit of c? 7 Let w(i) be the first derivative of -43*i**2/2 + i - 5. Let t be w(-3). Suppose t = 4*k - 2*r, -2*k - 3*r = 40 - 117. What is the tens digit of k? 3 Let i = 10 - -109. What is the units digit of i? 9 Suppose 0 = 5*k - 4*v - 13237, 5*v = 57 - 47. What is the units digit of k? 9 Let u(o) = o**2 - 17*o - 5. Let c be u(15). Let l = 107 + c. Suppose 3*q + l = 9
{ "pile_set_name": "DM Mathematics" }
th term of 3364480, 6728949, 10093404, 13457839, 16822248, 20186625? -v**3 - v**2 + 3364479*v + 3 What is the q'th term of 204558, 204555, 204552, 204549? -3*q + 204561 What is the g'th term of 533134, 1066294, 1599454, 2132614? 533160*g - 26 What is the f'th term of 112874071, 112874072, 112874073, 112874074? f + 112874070 What is the p'th term of 148301, 593004, 1334113, 2371628, 3705549? 148203*p**2 + 94*p + 4 What is the o'th term of 99291, 202200, 305107, 408012, 510915, 613816, 716715? -o**2 + 102912*o - 3620 What is the p'th term of -6745, -27497, -62261, -111037, -173825, -250625? -7006*p**2 + 266*p - 5 What is the u'th term of 63326, 63335, 63366, 63431, 63542, 63711? 2*u**3 - u**2 - 2*u + 63327 What is the w'th term of 28572, 28605, 28650, 28713, 28800, 28917, 29070, 29265? w**3 + 26*w + 28545 What is the h'th term of -194490, -777942, -1750366, -3111762, -4862130, -7001470, -9529782? -194486*h**2 + 6*h - 10 What is the r'th term of 20744, 77070, 168976, 296462, 459528, 658174, 892400? 17790*r**2 + 2956*r - 2 What is the g'th term of -3223, -3488, -3947, -4600? -97*g**2 + 26*g - 3152 What is the w'th term of 74402, 74503, 74612, 74735, 74878, 75047, 75248? w**3 - 2*w**2 + 100*w + 74303 What is the n'th term of -47782, -184943, -413538, -733561, -1145006, -1647867, -2242138? n**3 - 45723*n**2 + n - 2061 What is the w'th term of 1486, 6678, 20768, 48202, 93426, 160886? 741*w**3 + 3*w**2 - 4*w + 746 What is the l'th term of -853, -1413, -1655, -1579, -1185, -473? 159*l**2 - 1037*l + 25 What is the v'th term of -104, -435, -988, -1763, -2760? -111*v**2 + 2*v + 5 What is the q'th term of 2008, 2988, 3964, 4936, 5904, 6868, 7828? -2*q**2 + 986*q + 1024 What is the d'th term of -6806138, -6806142, -6806146? -4*d - 6806134 What is the n'th term of 9173, 15422, 21683, 27962, 34265, 40598, 46967? n**3 + 6242*n + 2930 What is the x'th term of -5650, -4707, -3762, -2815? x**2 + 940*x - 6591 What is the y'th term of 500317, 502275, 504233, 506191, 508149? 1958*y + 498359 What is the r'th term of -289401, -578826, -868251, -1157676, -1447101? -289425*r + 24 What is the x'th term of -268986, -269352, -269718, -270084? -366*x - 268620 What is the j'th term of 4120, 4056, 3896, 3598, 3120? -7*j**3 - 6*j**2 + 3*j + 4130 What is the q'th term of 15368, 30731, 46094, 61457, 76820, 92183? 15363*q + 5 What is the r'th term of -4918, -19470, -43730, -77686, -121326, -174638, -237610? 2*r**3 - 4866*r**2 + 32*r - 86 What is the v'th term of 285859, 285872, 285889, 285910, 285935, 285964? 2*v**2 + 7*v + 285850 What is the w'th term of -7311, -7385, -7425, -7431, -7403, -7341, -7245? 17*w**2 - 125*w - 7203 What is the g'th term of 13805578, 13805583, 13805588, 13805593? 5*g + 13805573 What is the f'th term of -83516, -83558, -83600? -42*f - 83474 What is the r'th term of -13388299, -26776574, -40164849? -13388275*r - 24 What is the c'th term of 3635, 7304, 11027, 14816, 18683, 22640, 26699? 2*c**3 + 15*c**2 + 3610*c + 8 What is the w'th term of -71515, -71538, -71577, -71632, -71703, -71790? -8*w**2 + w - 71508 What is the q'th term of 13200297, 26400598, 39600895, 52801188? -2*q**2 + 13200307*q - 8 What is the m'th term of 21484, 43246, 65008, 86770? 21762*m - 278 What is the v'th term of 2809902, 5619798, 8429694, 11239590, 14049486? 2809896*v + 6 What is the l'th term of 69053, 275818, 620299, 1102496, 1722409, 2480038? 68858*l**2 + 191*l + 4 What is the j'th term of 9260, 9870, 10894, 12338, 14208? j**3 + 201*j**2 + 9058 What is the i'th term of -96408, -193287, -290166, -387045, -483924, -580803? -96879*i + 471 What is the n'th term of -8214, -12480, -16746, -21012? -4266*n - 3948 What is the r'th term of -1168523, -2337042, -3505575, -4674128, -5842707, -7011318? -r**3 - r**2 - 1168509*r - 12 What is the n'th term of 2206, 1808, 1006, -314, -2266, -4964? -19*n**3 - 88*n**2 - n + 2314 What is the c'th term of -6918, 82464, 325074, 797526, 1576434, 2738412, 4360074? 12769*c**3 - c - 19686 What is the m'th term of -102729, -102986, -103249, -103518, -103793, -104074, -104361? -3*m**2 - 248*m - 102478 What is the y'th term of -4522, -36264, -122418, -290188, -566778, -979392, -1555234, -2321508? -4534*y**3 - 2*y**2 + 2*y + 12 What is the g'th term of -3431414, -6862847, -10294284, -13725725? -2*g**2 - 3431427*g + 15 What is the j'th term of 506729, 506809, 506875, 506921, 506941, 506929, 506879, 506785? -j**3 - j**2 + 90*j + 506641 What is the y'th term of 1908, 2255, 2616, 2997, 3404? y**3 + y**2 + 337*y + 1569 What is the r'th term of -719, -1973, -3745, -6011, -8747? 4*r**3 - 283*r**2 - 433*r - 7 What is the w'th term of -4580, -18401, -41448, -73727, -115244, -166005, -226016? -w**3 - 4607*w**2 + 7*w + 21 What is the h'th term of -37629, -37631, -37627, -37611, -37577? h**3 - 3*h**2 - 37627 What is the y'th term of -3241, -3264, -3303, -3358? -8*y**2 + y - 3234 What is the y'th term of 1778989, 3557936, 5336885, 7115836, 8894789? y**2 + 1778944*y + 44 What is the m'th term of 1609, 6032, 13297, 23398, 36329, 52084? -m**3 + 1427*m**2 + 149*m + 34 What is the i'th term of -1028127, -2056233, -3084333, -4112427? 3*i**2 - 1028115*i - 15 What is the c'th term of 16526, 66110, 148764, 264500, 413330, 595266, 810320, 1058504? 2*c**3 + 16523*c**2 + c What is the u'th term of -13932, -12923, -11914? 1009*u - 14941 What is the o'th term of 12876338, 25752538, 38628738, 51504938? 12876200*o + 138 What is the g'th term of 56, 208, 442, 758, 1156? 41*g**2 + 29*g - 14 What is the h'th term of 23246, 46820, 70394, 93968, 117542, 141116? 23574*h - 328 What is the h'th term of -35286, -140717, -316288, -561999? -35070*h**2 - 221*h + 5 What is the x'th term of 999, 815, 607, 375? -12*x**2 - 148*x + 1159 What is the h'th term of -6656, -13389, -20136, -26903, -33696, -40521? -h**3 - h**2 - 6723*h + 69 What is the o'th term of 17073, 68353, 153835, 273531, 427453, 615613, 838023, 1094695? 2*o**3 + 17089*o**2 - o - 17 What is the x'th term of 1809, 1837, 1849, 1845, 1825, 1789? -8*x**2 + 52*x + 1765 What is the o'th term of 20, 404, 1534, 3782, 7520, 13120, 20954? 62*o**3 + o**2 - 53*o + 10 What is the v'th term of -1343, -2944, -4547, -6152? -v**2 - 1598*v + 256 What is the u'th term of -22136, -44146, -66030, -87788, -109420, -130926, -152306? 63*u**2 - 22199*u What is the n'th term of 304039, 608200, 912361, 1216522, 1520683, 1824844? 304161*n - 122 What is the b'th term of 14, -2103, -6350, -12727, -21234? -1065*b**2 + 1078*b + 1 What is the m'th term of 141141, 282310, 423501, 564714, 705949, 847206, 988485? 11*m**2 + 141136*m - 6 What is the r'th term of -9649, -6104, -2559, 986, 4531, 8076? 3545*r - 13194 What is the i'th term of -9197, -18217, -27237, -36257, -45277? -9020*i - 177 What is the i'th term of 369010, 369016, 369022, 369028, 369034, 369040? 6*i + 369004 What is the u'th term of -565706, -1131420, -1697134? -565714*u + 8 What is the k'th term of 198275, 793110, 1784509, 3172478, 4957023, 7138150? k**3 + 198276*k**2 - 2 What is the b'th term of 780818, 1561654, 2342500, 3123362, 3904246, 4685158, 5466104? b**3 - b**2 + 780832*b - 14 What is the n'th term of -35233, -70694, -106147, -141586, -177005, -212398? n**3 - 2*n**2 - 35462*n + 230 What is the o'th term of 25237, 51736, 78233, 104728, 131221, 157712? -o**2 + 26502*o - 1264 What is the g'th term of 650794, 650808, 650822, 650836, 650850, 650864? 14*g + 650780 What is the k'th term of 16262, 12474, 6158, -2686, -14058? -1264*k**2 + 4*k + 17522 What is the p'th term of -102186, -98191, -94198, -90207, -86218, -82231, -78246? -p**2 + 3998*p - 106183 What is the h'th term of -1798283, -7193136, -16184557, -28772546, -44957103, -64738228, -88115921? -1798284*h**2 - h + 2 What is the u'th term of -1360822, -1360899, -1361034, -1361233, -1361502, -1361847, -1362274, -1362789? -u**3 - 23*u**2 - u - 1360797 What is the i'th term of -4719, 359, 5437? 5078*i - 9797 What is the s'th term of 5283, 42378, 143095, 339246, 662643, 1145098, 1818423? 5302*s**3 - s**2 - 16*s - 2 What is the s'th term of -172243, -691116, -1555897, -2766580, -4323159? s**3 - 172960*s**2 + 716 What is the y'th term of 19086, 75481, 169480, 301083, 470290, 677101, 921516? 18802*y**2 - 11*y + 295 What is the s'th term of 208025, 416032,
{ "pile_set_name": "DM Mathematics" }
for d. -2 Let s(v) = -v**2 + v + 10. Let n be s(0). Suppose 5*x + 0*x = n. Solve -i - 19 = x*h - 6*h, -3*h + 15 = 0 for i. 1 Let i(s) = s**2 - 8*s - 11. Let a be i(9). Let j be -1 + 3 + (0 - a). Let f = j + 1. Solve -5*w + 18 = -7, -f*p + w + 5 = 0 for p. 2 Let f be (-34)/(-9) - -1 - 20/(-90). Let o = 27 + -8. Let l(y) = -y**2 - 5*y - 2. Let j be l(-3). Solve j*q - 13 = 3*g, 0*q + 4*q = f*g + o for q. 1 Let t(i) = -1. Let j(h) = -h - 3. Let d(r) = 2*j(r) - 2*t(r). Let w be d(-3). Suppose -2*a + 3*a - 2 = 0. Solve 4*x + 1 = 3*s - 7, -2*x - a = -w*s for x. -5 Let f be 6/(-4)*(-4)/(-3). Let d(q) = 5*q**2 - 3*q - 2. Let z be d(f). Solve 3*v - 6*v = 3*b + z, -5*v - 12 = -2*b for b. -4 Suppose 3*o - 2*y + 4 = 0, 0 = y + 4*y - 10. Solve 0 = 3*s - 2*k - 7, 3*s - 5*k + 4*k - 11 = o for s. 5 Let l be (4/6)/(-7 - (-66)/9). Solve 0 = -p - 5*k + 14, 0 = p - 0*p - 3*k + l for p. 4 Let q(t) = t**2 - 9*t - 6. Let v be q(10). Suppose -z - 5*w = -28, 5*z - 2*z = v*w + 8. Solve -2*s + 4*s + z = 0, 3*k - 23 = 2*s for k. 5 Let g(v) = v - 4. Let m be g(2). Let y be (-10)/m - 0 - 1. Let r be 27/y - 1/(-4). Solve -2*a - 13 = 3*p, a + 7 = -3*p - r for p. -5 Let n(j) = -j + 14. Let u be n(11). Solve -3 = 4*x + o - 0, -2*x + o = u for x. -1 Suppose i = 3, t - i + 3 = -0*i. Solve -q + 6*q + 2*w - 1 = 0, t = -2*q - 4*w - 6 for q. 1 Let w = -28 + 14. Let t be (-6)/(-21) - 66/w. Solve t*f - 2 = -3*r, -3*r + 11 + 7 = -3*f for r. 4 Suppose j = 2*j - 1. Solve -a = 2*x - 4*a + j, -2*x + 4*a - 2 = 0 for x. 1 Suppose -3*l - 3*b = 2*b - 5, 0 = l - 4*b - 13. Let c be 0/l - (-4)/2. Solve 4*t + 6 = 3*r, c*t = 4*r - 0 - 8 for t. 0 Let b = -8 + 12. Suppose b*j - 3*r = 3, r = -j + 5*j - 9. Solve 2*y = -5*o - 25, 5*o + 11 + 14 = j*y for o. -5 Let p(h) = -h**2 - 22*h + 1. Let f be p(-10). Let n be 84/22 + 22/f. Solve -n*k - 4*m = 0, 0 = 5*m - 25 for k. -5 Let o be (-36)/(-15)*(-10)/(-4). Suppose o + 2 = 2*g. Solve -g*d = -4*i + 8, -i + 4 = -3*d + d for i. 0 Suppose 5*n - 3*b - 4 = 10, 3*b - 6 = 0. Solve -4*p = 3*o - n, -5*o + 2*p - p = 1 for o. 0 Let h(m) = -m. Let y be h(-2). Let d(a) = -a**2 + 4*a - 2. Let p be d(y). Suppose -p*x + w = -10, -32 = -2*x - 2*x + 5*w. Solve -t = -x*o - 4, t = 1 - 6 for o. -3 Let d(r) = -r**3 - 4*r**2 - 2*r - 5. Let h be d(-4). Suppose 0 = 4*z + 20, -2*z - 8 + 2 = 2*f. Solve 6*g - f*p - 10 = g, p = -h*g - 5 for g. 0 Let h be (-106)/(-22) - (-8)/44. Solve -h*v = -3*a + 25, 0*a + a = 2*v + 9 for a. 5 Suppose 2*l + 20 = -0*l. Let o be (39 + 1)*l/(-25). Solve 7 = -5*m + 3*c, -5*m + 5*c - o = -m for m. 1 Suppose -3*d = -5*d. Let v(b) = b**3 + 1. Let l be v(d). Let s = 5 - l. Solve 0 = -3*o + m - s, -o - 10 = 4*o - m for o. -3 Suppose 7*x - 2*x + 2*q - 21 = 0, -4*x - 5*q + 10 = 0. Solve -2*z - 3 = -d - 0*z, -45 = x*d + 5*z for d. -5 Suppose 0 = 3*u - 0*u + 5*x - 49, -5*x = 5*u - 65. Solve 2*r = -2, z + u*r = 3*r - 5 for z. 0 Let m(b) = -b**3 - 4*b**2 - b. Let x be m(-4). Solve 4*a + 27 = 3*l - 6*l, -2 = -2*l + x*a for l. -5 Let w be -30 + (-1 - -4) + -1. Let g = 28 + w. Solve 2*b + u - 15 = -4*u, g = -3*u + 3 for b. 5 Let m = -16 + 21. Solve -5*u - 3*k = 3, -3*u - m*k = -3 + 8 for u. 0 Suppose 0 = -2*v - a + 6 + 10, -5*a + 40 = 5*v. Solve 0 = -5*b - 2*i + v, -4*b + 6 + 1 = i for b. 2 Let w be (1 - 2) + (-16)/(-1). Let s(z) = 9*z. Let p be s(-1). Let d = w + p. Solve 0 = 2*x + h - 3, 4*h = 5*x + d*h - 10 for x. 4 Let s(w) = w**3 - 12*w**2 + 10*w - 1. Let j be s(11). Let k = j + 12. Solve k = -2*p - 2*x, -3*p - p = 3*x + 2 for p. -2 Suppose -3*x - 7 = 4*k - 3*k, -5*k - x + 7 = 0. Solve -g - 2*s + 7 = 0, 0 = k*g + s - 4*s + 7 for g. 1 Suppose -21*d = -30*d. Solve -4*m + 5*n - 21 = d, 3*n = -2*n + 5 for m. -4 Let l = -12 - -8. Let b(o) = 3*o - 12. Let i be b(4). Let s = i - l. Solve -s*k - 6 + 3 = -3*x, 5*x - k = -12 for x. -3 Suppose -3*m - 2*m = -i + 2, -5*i = 4*m - 68. Solve 3*d = 3, -5*v = -v + 4*d - i for v. 2 Let z be (-26*2/(-4))/(-1). Let x = -1 - z. Solve -3*u - 3*r - x = -0*r, 0 = -5*u + 4*r - 2 for u. -2 Suppose -3*f + 4*m = -20, -11 - 11 = -3*f + 5*m. Solve -c - 12 = -2*q - f, 4*c - 5*q = -23 for c. -2 Let u be (-3)/(1 + (-2)/1). Let l = 64 + -61. Solve 10 = -l*i - u*k + 4, 0 = -2*i - k - 6 for i. -4 Suppose 5*m - 19 = 2*a, -5*m + 15 = 5*a - 25. Solve -b - 15 = -3*l, -a*l + 15 = 2*b + 3*b for b. 0 Let m = -19 - -31. Solve -3*p + 12 = -3*k, -3*p = -3*k + 5*k - m for k. 0 Let k be (-3 + 7/2)*0. Solve -3*j - 1 = -2*r, 2*r = -k*r + 4*j + 2 for r. -1 Suppose -t + 3*t - 2*x - 18 = 0, -4*x = 2*t - 18. Let w = -9 + t. Solve 0 = -s + 3*s - 8, w = 2*c - s + 8 for c. -2 Let g = 5 - -10. Suppose -15 - g = -5*d. Suppose 4*q - k - 16 = 0, 0 = 3*q - d*q - 3*k - 3. Solve -2*f + 2*w = w + 4, -4*w = q*f + 17 for f. -3 Let h(x) = -x + 3. Let w be h(0). Let r be (-2)/(-6) - (-2)/3. Suppose 0 = -3*v + c + r, -v + 0*v + 5*c = 23. Solve 0*g + w*g = o - 7, -v*g - 18 = 2*o for o. -5 Suppose -2*n = 5*q - 3*q - 20, 3*q - 3*n = 0. Let v be (-10)/3*(-12)/10. Let t be (-6)/v*-1*2. Solve 6*b - b = -t*z - 6, 10 = 4*b - q*z for b. 0 Let n = 5 - 3. Suppose -6*a = -n*a - 12. Solve -3*t = 5*c - 5, -4*c - t + a = -c for c. 1 Let g(n) = n**2 + 3*n + 2. Let h be g(-3). Solve t = -4*t - 15, -x = h*t + 1 for x. 5 Let z(k) be the first derivative of k**4/4 + 4*k**3/3 + 3*k**2/2 + 2*k + 1. Let a be z(-3). Solve 2*d + 3*d - a*j = 3, -j = 4*d + 8 for d. -1 Let j(d) = -2*d + 1. Let k be j(-3). Solve -2*c - 20 = -k*c, -4 = -4*r - 4*c for r. -3 Let x be -1*0/(-1) + (-104)/(-26). Let c = -14 - -20. Solve 2*y = x*w - y + c, w = -5*y - 13 for w. -3 Let q = -115 - -119. Solve 2*s + 3 = 3*w, -s - q*s = -5*w for s. 3 Let w(n) = n**2 - 6*n - 7. Let t be w(8). Suppose 5*g - 6 = t. Solve 3 = f + 3*x, g*f + 5 = 5*x - 14 for f. -3 Suppose 4*u - 4 = -6*q + 3*q, -2*q - 4*u = 0. Suppose -q*y = y - 25. Solve -3*t - 5*a = 8, y*t - 3*t - a = 12 for t. 4 Let m = 5 - 7. Let w be 7 + (1 + m)*3. Solve -2*l + w*l - 12 = 3*p, 0 = p - 2*l + 4 for p. -4 Let m = -22 - -24. Solve 3*b = -2*l - 17, -4*l + m*l = -4*b - 18 for b. -5 Suppose t + 4 = 3*s - 7*s, -2*t + 14 = -3*s. Solve t*x + d - 18 = 1, -5*x = -4*d - 8 for x. 4 Suppose -n + 28 = 4*t + 3*n, -2*t + 18 = 3*n. Solve 6 + 4 = -5*k, 0 = -l + t*k + 3 for l. -3 Let r(k) = -11*k**2 - 1 + 11*k**2 + 4*k**3. Let z be r(1). Solve -p - p = -3*c - 19, 9 = 2*c + z*p for c. -3 Let j = 3 + -3. Suppose j = -3*k + 7*k + p - 3, k - 3*p = 17. Let a be k - ((4 - 2) + -4). Solve 10 = -2*i - 4*g, -20 = 4*i - g - a*g for i. -5 Let j be -3*(-1)/4*24. Let x = 33 - j. Solve 2*m = 5*m - x, 5*h + 15 = 5*m for h. 2 Let m(n) = n**3 - 8*n**2 + 6*n + 13. Let t be m(6). Let w = t + 28. Solve h - 5*b = 4, 2*h + w*b = 4*h - 3 for h. -1 Let k = 13 + -11. Suppose h - 3 = k. Solve 3*f - 18 = -i - f, -4*i = h*f - 17 for i. -2 Suppose 2*t - 11 = -1, -5*s + 30 = 3*t. Suppose 23 = 5*b - 3*l, -4*l + 10 - 2 = 3*b. Solve 0 = b*c, -s*z + 9 = 6*c - c for z. 3 Suppose 7 = 5*t + 22. Let g be (0 - -1)/(t - -4). Let b = 3 - g. Solve b*w + 7 = -w + r, -3 = w - r for w. -2 Let l = -31 - -41. Solve 20 = 2*a + 5*x, 2*a + 10 = 5*x - l for a. 0 Let v = 8 - -14. Suppose -z = -4*g - 23, v = -0*z + 4*z - 2*g. Solve z*f + w = 18, w + 14 = f + 4*w for f. 5 Let t(h) = h**3 - 4*h**2 - 3*h - 5. Suppose 2*f = 4*a + f - 24, -3*f = -2*a + 22. Let v be t(a). Solve 2*w + 4*c = -16, v*w + 10 = 2*c - 6 for w. -4 Let i be 4/3 - 2/6. Let x be (-2)/((-4)/(-9))*-2. Let k be 2 + -2 + i + x. Solve 3*f + k = 2*f - 5*c, 0 = 4*f - 3*c - 6 for f. 0 Let x(y) = 0 + 3*y - 2*y + 3. Let c be x(-3). Solve c*n - 5*n = -3*d - 7, -4*n = d + 8 for d. -4 Let u(b) = b**2 + 9*b + 9. Let l be u(-7). Let h = 10 + l. Solve -f + y = 3, f + h*y - 2*y = 13 for f. 1 Let l be (-16)/(-72)*(-2 - -11). Solve -l*s + 4*c = -6, -2*s - 2*s = -4*c - 12 for s. 3 Suppose 5*v = 394 - 64. Suppose -i = 2*i - v. Solve -3*q + 2 = x + 9, -2*x + i = -3*q for q. -4 Suppose u - g = -u - 2, 0 = -4*u - 2*g + 4. Solve 6*j - j = -4*v, u = -2*j + 3*v for j. 0 Suppose 0 = 2*w - w + 4*i + 15, -5*w + 35 = -2*i. Suppose 0 = -w*a - 2*s + 15, -a - s + 3 = -0*s. Solve -3*g - 3*l - 21 = 0, -17 + 6 = g + a*l for g. -5 Let t be (24/(-15) + 2)*15. Let q be -3*t/9 - -5. Suppose 0 = q*x - 54 + 3. Solve -5*j + 4 = 3*o - 19, 4*j + o - x = 0 for j. 4 Let k = 9 - 5. Let n be (8/(-4))/(k/(-6)). Let y(f) = f**2
{ "pile_set_name": "DM Mathematics" }
52? True Let i(o) = -1202*o - 208. Is 115 a factor of i(-4)? True Suppose -15*s + 3*v + 753 = -13*s, -5*s - 2*v + 1892 = 0. Is 26 a factor of s? False Let s(b) = -412*b. Let v be s(-1). Let y = v - 293. Let t = -56 + y. Is 21 a factor of t? True Let n(r) = -63*r**3 - 5*r**2 + 7*r + 29. Does 52 divide n(-3)? True Suppose -954*f + 949*f = -11500. Is f a multiple of 19? False Suppose 0 = -2*w - 198 + 594. Is 7 a factor of w? False Suppose -4 = -5*g + 21. Suppose 4*p - 116 = -g*u + u, 0 = -4*u + 4*p + 156. Is u a multiple of 19? False Let v(a) = -a**2 - 10*a + 13. Let p be v(-8). Suppose -4*f + p = -11. Is f a multiple of 9? False Is -8 - (-852)/3 - 2 a multiple of 11? False Suppose -360 = 26*b - 34*b. Is 6 a factor of b? False Let l = -3 + 5. Suppose h + l*x - 55 = -4*h, -5*h = -x - 70. Does 13 divide h*(2 + -1)/1? True Suppose -5*p + 0*p - 25 = 0. Let d be 1/p + (-3332)/(-35). Suppose 0 = -2*q + d + 7. Does 14 divide q? False Let g(y) = 2*y + 24. Let q be g(-12). Suppose q = -2*f + 9*f - 294. Does 14 divide f? True Suppose -2*x - 4*v - 5 = x, 20 = 5*x + v. Suppose 4*j + 4*n = 428, 505 = x*j - 0*n - 5*n. Is j a multiple of 12? False Is 9/(27/5)*51 a multiple of 74? False Does 45 divide ((-4680)/(-144))/(1/18)? True Let s = -279 - -189. Is s/1*(-2)/3 a multiple of 15? True Let m(a) = -12*a - 13 + 8*a - a**3 - 10*a**2 - 9*a. Is m(-9) a multiple of 16? False Let m(q) = 103*q**3 + 7*q**2 + q. Is 18 a factor of m(2)? False Does 2 divide (36/(-18))/(3/(-159))? True Let m(p) = p - 25*p**3 - 5*p + 1 + 4*p**2 + 9*p. Let h be m(4). Is h/(-27) - (-8)/(-72) a multiple of 28? True Suppose -68*k + 60*k + 184 = 0. Is 8 a factor of k? False Suppose 0 = 16*t - 15*t + 2*r - 455, -2*r - 2323 = -5*t. Does 34 divide t? False Suppose 4*s - 2*r = 1278, -5*r + 10 = -3*r. Is 46 a factor of s? True Let p = -27 + 39. Suppose -p*x - 220 = -17*x. Is 8 a factor of x? False Let u = -302 + 406. Does 6 divide u? False Suppose -2*p - y = -6, 2*p + 2*y - 6 = -0*y. Let h be -3 + p + 1 + -26. Is 3 a factor of (7 + -2)*(-30)/h? True Let y(g) = -g**3 + 12*g**2 + 34*g - 34. Does 2 divide y(14)? True Suppose -6*i + 166 = 4*s - i, 4*s = 5*i + 146. Suppose s*c - 176 = 37*c. Is c a multiple of 22? True Let l(b) = -7*b - 16. Let r(v) = v. Let z(c) = -l(c) - 6*r(c). Let i be z(-13). Does 8 divide (1 - (i - 3))*24? True Suppose 19*u = 22*u - 7695. Is u a multiple of 15? True Let s(a) be the first derivative of -9*a**4/4 + a**2/2 + 18. Is 4 a factor of s(-1)? True Let s be (7/(-21))/(2/(-12)). Let x(u) = 8*u + 1 - 6*u - 2*u + 17*u**s. Is x(-1) a multiple of 6? True Let d(u) = -151*u - 6. Is d(-6) a multiple of 36? True Let j(c) = 17*c**2 + 2*c + 2. Suppose 8 + 2 = -5*f. Let u be j(f). Suppose -4*s - 79 = -3*t, t - u = -t - 4*s. Is t a multiple of 15? False Suppose -431 - 316 = 9*w. Let z = w + 120. Is z a multiple of 7? False Let t be 3/(-9) - (-30)/9. Suppose -y - 2*y + 37 = 4*n, -t = -y. Is 10 a factor of (n + -3)*10 + -1? False Suppose -3*h + 2*v + 1576 = 0, 2096 = 155*h - 151*h - 4*v. Does 48 divide h? True Suppose -u - u = 0, y + 2*u - 646 = 0. Is y a multiple of 19? True Let b = 3244 + -1996. Does 6 divide b? True Does 13 divide (-2478)/(-10) - (-64)/(-80)? True Suppose 5555 = 40*i - 6285. Is i a multiple of 37? True Is -2 + (323 - 49/(-7)) a multiple of 82? True Let q = 267 + 112. Is 6 a factor of q? False Suppose -5*o = -0 - 5. Let v(d) = -2*d + 2. Let y be v(o). Suppose 4*h - 2*j - 42 = y, -2*h + 15 = -h - 5*j. Is h a multiple of 10? True Suppose -10 = -5*d, -4*i - d - 52 = -3*d. Let x = i - -66. Is x a multiple of 8? False Suppose 34 = 2*t - 4*h, -5*t + h - 11 = -51. Let z(v) = 12*v + t + 2*v + 12*v. Is z(2) a multiple of 9? False Suppose 4*l + c + 2 = 13, l + 1 = -4*c. Let v(y) = -15*y**2 + 6*y + 9*y**l - 6*y**3 - 4*y**3 + 7*y - 19. Is v(-16) a multiple of 8? False Suppose a + 0 + 5 = 0, 5*h - 2200 = -3*a. Suppose 0 = -5*y - p + 137 + 401, h = 4*y + 5*p. Is y a multiple of 27? False Let z be 4/(-14) - 16/(-7). Let p be 2/4 - (-206)/4. Suppose z*f - p = -0*f. Does 13 divide f? True Let s be -5 + 6 - -23*3. Let v = s - 36. Does 6 divide v? False Let k(l) = -2*l**2 + 56*l + 16. Is 5 a factor of k(27)? True Let r = 491 + -350. Suppose 0 = -z + 2*k + r, 5*z + 5*k - 780 = -0*k. Is 23 a factor of z? False Does 13 divide (2 + 1 + -2)/(28/1316)? False Let t = 2112 - 1092. Is t a multiple of 102? True Suppose 0 = -10*i - 7*i. Suppose i = -4*b + 1154 - 426. Does 26 divide b? True Let p(m) = -m**3 - 13*m**2 + 7*m - 24. Let y be p(-13). Let q = -91 - y. Does 7 divide q? False Let q = -1085 + 2327. Does 46 divide q? True Let w(k) = -k - 15. Let u be w(-5). Let f be (-12 - -9)*u/6. Suppose 388 = f*t + 3*s - 0*s, 92 = t - 3*s. Does 17 divide t? False Suppose 4*u = -3*a + 199, 2*u - a + 0*a = 97. Let s(m) = m**3 + 4*m**2 - 9*m - 9. Let f be s(-5). Suppose 0 = x - f - u. Is x a multiple of 20? True Let m be (-78)/(-4)*2/3. Let j be -1*1 - (m - 4). Let t(k) = k**3 + 10*k**2 - 3*k + 6. Is 6 a factor of t(j)? True Suppose -10 = -9*u + 4*u. Let r be (-1225)/(-14) - (-3)/(-6). Suppose 2*o + y - r = -u*o, -2*o = -4*y - 66. Is 10 a factor of o? False Suppose -12 = -3*j + 2*y, 2*j - 6*j - 5*y - 7 = 0. Let l = -403 - -530. Suppose l = j*z - 5. Does 20 divide z? False Let z be (-110)/(1/14*-2). Suppose 5*f - z = -5*f. Is 7 a factor of f? True Let m = 3212 - 1700. Is m a multiple of 21? True Is 5272/12 - (-18)/27 a multiple of 32? False Let v = 1417 - -683. Is 35 a factor of v? True Let d be (-32)/(-15) - (-10)/(-75). Let n be (-2 + 5 - d)*0. Suppose -2*r - 68 = -x, n = x + 5*r - 4*r - 65. Is 24 a factor of x? False Suppose 1073 = r + 4*f + 54, 0 = -4*r + 3*f + 3981. Does 58 divide r? False Let x = -626 - -1801. Does 25 divide x? True Suppose -18*w + 4*n = -20*w + 1516, 0 = 2*w - 3*n - 1509. Is 63 a factor of w? True Does 13 divide (-14672)/(-49) - 14 - (-4)/7? True Let u = 561 - 518. Is u a multiple of 40? False Let g = 15 - -10. Suppose 6*q - g = q. Suppose -127 = -3*v - 2*o, -q*v - o + 180 = -4*o. Is v a multiple of 13? True Let q(h) = h**2 + 61*h - 546. Is 82 a factor of q(51)? True Let g(y) = 3*y**3 + 43*y**2 - y + 27. Is g(-11) a multiple of 13? True Let h = -4 + 11. Suppose -9 = -p + 3*d, -2*p - 69 = -h*p + 3*d. Suppose -5*o + 40 = -p. Is o a multiple of 6? False Suppose 2*j - j - 4*d - 48 = 0, -4*j - 3*d + 211 = 0. Suppose 0 = z + 3*z + j. Is 19 a factor of (z/(-26))/((-2)/(-92))? False Suppose -2*j + 8 = 26. Let m = j + -3. Let n = -9 - m. Is 2 a factor of n? False Let p(n) = 21*n**2 - 6*n - 4. Is p(4) a multiple of 16? False Is 525/24 - 13/(-104) a multiple of 9? False Let o be (-14 - -11)*8/(-6). Suppose 50 = o*f + g, g = -2*f + 4*g + 18. Is 2 a factor of f? True Let a be (-99)/2*(-2 - 0). Suppose -a = -2*g + 61. Suppose -6*o = -o - g. Is 9 a factor of o? False Let z(d) = -7*d**3 + 2*d**2 + 3*d + 1. Let w be z(-2). Let s(q) = q**2 - 14*q + 97. Let g be s(7). Suppose n = -2*y + w, -2*n = -y - 45 - g. Does 15 divide n? False Suppose -19*y - 2*u + 3452 = -15*y, -4*y + 3*u = -3462. Does 32 divide y? True Does 4 divide ((-64)/3)/(60/(-990))? True Is 29 a factor of 814/7 - (-10)/(-35)? True Suppose -4*z = 4*s - 228, -5*s - 4*z + 288 = -0. Suppose s = 4*u - 24. Is 5 a factor of u? False Suppose 2*k + 36 - 78 = 0. Let g = k - 21. Suppose 5*z = 4*p + 7, -3*z = 4*p - g*p - 17. Is 2 a factor of p? True Suppose 2*s - 3*d - 28 - 5 = 0, 3*d + 24 = s. Suppose -75 = 5*o + 60. Let k = s - o. Is 18 a factor of k? True Let l(u) = u**3 - 15*u**2 + u - 16. Let c be l(15). Is 17 a factor of -2*(2 + c) - -70? True Let p(x) = 2*x**2 + 15*x + 3. Let k(f) = 3*f**2 + 15*f + 2. Let z(o) = -3*k(o) + 4*p(o). Is 11 a factor of z(11)? False Suppose 2*t - 8 = 4. Suppose -t*z + 285 = -z. Suppose 2*i - 100 = g + 19, -2*g = i - z. Is 17 a factor of i? False Let s = -42 + 237. Let l = s + -35. Does 20 divide l? True Suppose 2839 + 4361 = 10*b. Is 12 a factor of b? True Let a be (-4)/16 + (-2788)/(-16). Suppose 5*m - a = 96. Is m a multiple of 10? False Let z(a) = a**2 - a + 2*a + 2 + 5. Suppose 0 = 2*l - l. Is 3 a factor of z(l)? False Let l be (-110)/(-33)*(0 + (-3)/(-2)). Suppose 0 = -u + l + 11. Does 7 divide u? False Suppose 4 = -3*k + k, 20 = -2*i - 4*k. Let f(w) = 2*w**2 + 8*w + 6. Let p be f(i). Let n = p + -10. Is 7 a fact
{ "pile_set_name": "DM Mathematics" }
(5). Let n(j) = 3*j**2 - 22*j + 27. Let p be n(c). What is the remainder when p/10 - 5/(-25) is divided by 7? 1 Suppose -360 = 3074*l - 3107*l + 1455. What is the remainder when ((-6)/(-8))/(1/732) is divided by l? 54 Calculate the remainder when 1230 is divided by 180 - 3*-1*(-14 + 15). 132 Let z = 236 - 148. Calculate the remainder when z is divided by 12. 4 Let p = -5491 - -5523. Calculate the remainder when 767 is divided by p. 31 What is the remainder when 2444 is divided by (-3)/(-21) - ((-16)/28)/((-15)/(-21180))? 23 Let h = 23634 - 23601. Calculate the remainder when 10097 is divided by h. 32 Let a(w) = -w**2 + 62*w - 322. Calculate the remainder when a(49) is divided by 7. 0 Let k = 64 + -11. Let q(p) = 2*p**3 + 119*p**2 - 156*p + 1656. Calculate the remainder when k is divided by q(-61). 8 Suppose -3*y = 5*j - 440, 4*j - 5*y - 265 = 124. Let c = 137 - j. What is the remainder when c is divided by 20/(-6)*(-18)/5? 10 Suppose 4*r + 2*d - 74 - 34 = 0, r - 37 = -3*d. Let g(u) = -35*u + 472. What is the remainder when r is divided by g(13)? 8 Suppose -4*a + 48 = -4. Suppose 0 = -3*d + 5*d + 8, -z + 317 = -3*d. Suppose k - z = -4*k. Calculate the remainder when k is divided by a. 9 Let w = -403 - -443. Calculate the remainder when 638 is divided by w. 38 Suppose 85*j + 2073 = 95*j + 743. Calculate the remainder when j is divided by 84. 49 Suppose 4*z - 10*d = -15*d + 96, 0 = 5*z + 5*d - 110. Calculate the remainder when 2864 is divided by z. 8 Let w(y) = 3*y**2 + 81*y - 560. Suppose 2*s - 13 = 457. What is the remainder when s is divided by w(6)? 31 Let n(s) = -s**2 - 4*s. Let a be n(-2). Suppose -4*o = -3*c + 68, 3*c - a*c + 2*o + 24 = 0. Calculate the remainder when (c/(-35))/(8/(-532)) is divided by 13. 12 Suppose -14*c + 2053 + 6235 = 0. Let f = 645 - c. Suppose -5*j + 7 = -4*j. What is the remainder when f is divided by j? 4 Let d(x) be the second derivative of 4*x**3/3 + 11*x**2/2 - 125*x. Let b(r) = 13*r. Calculate the remainder when b(3) is divided by d(0). 6 Suppose 0*p = 5*p - 165. Let h(w) = -11*w + 4. Let o be h(-13). Let z = o - 138. What is the remainder when p is divided by z? 6 Let z(w) = -w**2 - 49*w + 540. Let k(q) = 17*q + 5. What is the remainder when k(7) is divided by z(9)? 16 Let x(b) = b**2 + 12*b - 165. Let u = 711 + -733. Calculate the remainder when x(u) is divided by 25. 5 Let v(n) = n**3 - 26*n**2 + 28*n - 56. Let y(a) = 3*a**2 - 14*a + 33. Let d be y(4). Calculate the remainder when 73 is divided by v(d). 16 Let z(t) = -143*t - 16535. Calculate the remainder when z(-127) is divided by 181. 178 Suppose 410 = 4*k - 46. Suppose 2*c + c = k. Suppose -4 + 84 = 8*w. Calculate the remainder when c is divided by w. 8 Let b(p) = -p**3 + 11*p**2 + 93*p - 986. What is the remainder when 800 is divided by b(10)? 8 Let k be (-5)/(-20) + 54/8. Suppose -2*l + k*l - 120 = 0. Suppose 3396 - 414 = 71*b. Calculate the remainder when b is divided by l. 18 Suppose 0 = -3*l - 4*d + 324, -d = l - 53 - 54. Calculate the remainder when l is divided by 36. 32 Let i = 1189 + -1195. What is the remainder when (-2)/(-1) + ((-282)/i - -7) is divided by 11/(2*(-2)/(-8))? 12 Suppose -183*h + 32787 = -16443 + 7872. Let w(p) = 9*p + 2. What is the remainder when h is divided by w(4)? 36 Suppose 19*l + 134 = -1006. What is the remainder when 16 is divided by l/10 - (-2 - 5)? 0 Let p(h) = -112*h + 70. Let j be p(-7). Suppose -16 = -4*b, -5*i + 2*i = -b - j. Calculate the remainder when i is divided by 72. 70 Suppose -2333 + 7524 + 17489 = 21*r. Calculate the remainder when r is divided by 528. 24 Let l be ((-6)/10)/(((-40)/(-225))/(-8)). Let r = 88 + l. Suppose -r*f = -120*f + 125. Calculate the remainder when 198 is divided by f. 23 Let s(z) = -8*z**2 - 124*z + 96. Calculate the remainder when 509 is divided by s(-14). 245 Suppose -79*q = o - 84*q - 78, o - 4*q - 77 = 0. What is the remainder when 4523 is divided by o? 70 Suppose -13*a + 4 = -35. Suppose 5*n + 38 = 3*f, n - 30 = -a*f - 2*n. Suppose 0 = -2*c - 3*c + 20. Calculate the remainder when f is divided by c. 3 Suppose 780 = 3*x + 11*h - 8*h, h = 5*x - 1276. Suppose 19*c = 162 + x. Calculate the remainder when c is divided by 20. 2 Let z = 54718 - 54693. Suppose u + 3*u + 4*o = 1052, 0 = -4*o. Calculate the remainder when u is divided by z. 13 Suppose -5*t - 3*g + 6602 = -28950, 4*t - 28447 = 3*g. Suppose t = 5*p + 8*p. Calculate the remainder when p is divided by 11. 8 Let c(o) = 3*o + 5. Let l be (-1 - -4) + 1 + -4. Suppose -3*z = -4*d + 49, 5*d - 44 = -l*d - 2*z. What is the remainder when 136 is divided by c(d)? 31 Let s = -5 - -8. Suppose -400 = s*f + 44. Let b = f - -215. Calculate the remainder when b is divided by 18. 13 Let k(u) = -u - 7. Let f be k(-4). Let d(q) = q**3 + q**2 - 4*q + 8. Let n be d(f). Suppose -4*y + 318 = -n*y. What is the remainder when y is divided by 23? 21 Suppose -40*n = -214*n + 837 + 2469. What is the remainder when 337 is divided by n? 14 Let c be (-4)/6 - (-41496)/63. Suppose 2*k + l - 5*l = 338, -c = -4*k + 2*l. Let w = 74 + -41. Calculate the remainder when k is divided by w. 31 Suppose -4*h = -2*a + 2622, -3315*h - 32 = -3311*h. Calculate the remainder when a is divided by 62. 55 Suppose 6*m - 81 = 3*m. What is the remainder when m is divided by (-90)/(-9 - -3) + 2? 10 Suppose 3*v + 23 = 2*r, -3*r + 2*v = -16 - 11. Let b(i) = i**2 - 2*i + 2. Let p(s) = s**3 + s**2 - 7*s + 19. What is the remainder when b(r) is divided by p(0)? 18 Let b(w) = -3*w - 12. Let s be b(-5). Suppose 9 = s*i - 0. Suppose i - 9 = -2*n. Calculate the remainder when 5 is divided by n. 2 Suppose 2*z + 2*i - 357 = 683, -3*z + 1530 = -2*i. What is the remainder when z is divided by 64? 2 Suppose 5*q - 5879 = -4*p, -5*p + 8962 + 1629 = 9*q. Calculate the remainder when q is divided by 388. 15 Let o = -2 - -10. Suppose s + 24 = p, p - o*s - 34 = -5*s. Calculate the remainder when p is divided by 7. 5 Suppose 0 = -4*v + 3 + 25. What is the remainder when 4/50 + (-341301)/(-2175) is divided by v? 3 Let a = -87 + 95. Let h be ((-500)/a)/((-6)/24). Calculate the remainder when (-4)/(-2)*h/20 is divided by 4. 1 What is the remainder when 9/6*(-569982)/(-369) is divided by 78? 55 Let m = 121 + -146. What is the remainder when 185 is divided by 4/10 + (-765)/m? 30 What is the remainder when (-2)/23 - 103499/(-253) is divided by 128? 25 Calculate the remainder when 851 is divided by (52/(-195))/((-2)/(-36))*-5*3. 59 Suppose -1248 - 2595 = -9*w. Calculate the remainder when w is divided by 414. 13 Suppose -k + 102 = -4*g, 3*k - 226 = -0*k - 4*g. Let o = k - 6. What is the remainder when o is divided by 13? 11 Let d(k) = k**3 - 18*k + 4. Let u = -223 + 219. Calculate the remainder when 20 is divided by d(u). 8 Suppose -38*c + 39*c = l - 1816, -5458 = -3*l + c. Calculate the remainder when l is divided by 15. 6 Calculate the remainder when 16 + (((-12)/9)/2)/(20/210) is divided by 7. 2 Suppose -j = 5*v - 1115, 0 = -32*j + 37*j + 2*v - 5552. What is the remainder when j is divided by 86? 78 Let v = -87 + 183. Let h be (v/(-80))/(3/5 + -1). Suppose h*k - 4*d = 19, -4*d + 12 = -4*k + 40. Calculate the remainder when 44 is divided by k. 8 Let p be 1/3 - 5635/(-15). Suppose p*s = 374*s + 56. What is the remainder when 195 is divided by s? 27 What is the remainder when 28 - -73 - (-1)/(-1)*0 is divided by (-1149)/(-33) + (-155)/55 + 3? 31 What is the remainder when 11624 is divided by ((-2)/4)/(70/(-1540))? 8 Suppose -9*p + 154 = 2*p. Suppose 2*m + k = 9, -3*m + 2*k + 17 = -p. What is the remainder when m is divided by 5? 2 Suppose 13*j + 1666 = 132*j. Calculate the remainder when 3792 is divided by j. 12 Let p(i) = 3*i**2 + 18*i - 362. What is the remainder when 639 is divided by p(-15)? 37 Let f = -314 - -345. Suppose 564 = f*b + 6. Calculate the remainder when 69 is divided by b. 15 Suppose -8*z + 72 + 0 = -0. What is the remainder when 1887 is divided by z? 6 Let i(k) = 343*k + 6896. What is the remainder when 782 is divided by i(-20)? 26 Suppose 0 = 1010*m - 1011*m + 201. Let o = m + -196. What is the remainder when 2/(-4) - (-94)/4 is divided by o? 3 Let o = -24257 + 24812. What is the remainder when o is divided by 138? 3 Suppose 67 + 109 - 32 = 6*l. Calculate the remainder when 791 is d
{ "pile_set_name": "DM Mathematics" }
(base 5) to base 9 -5171211 What is -731b4 (base 16) in base 10? -471476 -7643457 (base 8) to base 9 -3763758 What is -7bce (base 16) in base 5? -2003234 What is bb5911 (base 12) in base 5? 1230201242 What is 20560352 (base 9) in base 10? 9900839 Convert -22020221 (base 7) to base 14. -371b11 Convert -6313527 (base 8) to base 13. -4694c0 Convert 525d2 (base 14) to base 11. 126346 -11374 (base 12) to base 6 -254224 Convert -42101 (base 5) to base 3. -10210211 -327441 (base 8) to base 3 -12121101202 Convert 2b469 (base 14) to base 10. 107893 -1224243 (base 6) to base 10 -65763 -259032 (base 11) to base 12 -177875 Convert -120130311 (base 4) to base 14. -286d7 3083156 (base 10) to base 12 1048298 What is 118bff (base 16) in base 6? 40351503 Convert -10504204 (base 8) to base 15. -2ea882 Convert -4a5c6d (base 14) to base 12. -a30775 1001100 (base 5) to base 13 7246 Convert 165a82a (base 12) to base 4. 101203110202 What is 1101110001000111010100 (base 2) in base 7? 42450665 What is -113434300 (base 5) in base 6? -15212211 5316620 (base 8) to base 13 3a7a28 Convert -1010101110100000101001 (base 2) to base 6. -140134133 Convert -22653025 (base 7) to base 10. -1996279 -cb834 (base 13) to base 11 -231783 What is 513125 (base 8) in base 2? 101001011001010101 Convert -5055699 (base 12) to base 11. -8545216 Convert -122220330 (base 4) to base 6. -2201100 What is -220212220000 (base 3) in base 6? -14255343 Convert 316981 (base 10) to base 9. 532731 What is 1c8d64 (base 14) in base 9? 1828755 What is 220021102022200 (base 3) in base 10? 12900618 What is 319366 (base 10) in base 3? 121020002101 Convert -1220220102000 (base 3) to base 10. -1021626 What is 1011054243 (base 6) in base 7? 154332621 221055 (base 7) to base 15 b769 a5a4b5 (base 15) to base 3 112211102122122 What is -12202122000 (base 3) in base 14? -2d4bc Convert 122313020 (base 5) to base 12. 2446a6 1708c8 (base 15) to base 8 4203132 445108 (base 10) to base 6 13312404 -4b015 (base 13) to base 15 -2b039 129ae8 (base 15) to base 13 2538a4 -1534035 (base 8) to base 4 -1223200131 What is 22304354 (base 9) in base 3? 202100011101211 What is -16703 (base 15) in base 2? -10001101100000101 Convert -202122111002 (base 3) to base 9. -678432 What is 3626500 (base 7) in base 16? 7085e -1001110000101010011 (base 2) to base 16 -4e153 -5264203 (base 9) to base 5 -1210132000 -1021043044 (base 5) to base 6 -113335215 What is 52119 (base 11) in base 5? 4413013 What is -1d32d5 (base 15) in base 11? -8960a2 Convert 7052a9 (base 14) to base 5. 1431412104 What is -222120202 (base 3) in base 13? -8a89 Convert -102742 (base 12) to base 9. -425465 -1030827 (base 9) to base 2 -10000110101101110101 What is -214b1c6 (base 13) in base 5? -10100214103 13301231 (base 4) to base 16 7c6d Convert 10210102001002 (base 3) to base 10. 2015714 1100001101000110101110 (base 2) to base 15 432e8b Convert -6881 (base 16) to base 10. -26753 What is -134230221 (base 5) in base 6? -22524434 1121124 (base 6) to base 3 2220120221 1939058 (base 13) to base 14 1155423 57057a (base 15) to base 11 2386911 222222002012 (base 3) to base 6 15213135 What is -1a99b7 (base 14) in base 11? -598779 What is -14422051 (base 6) in base 3? -221102212011 ae13e (base 16) to base 11 447782 36bd6 (base 16) to base 6 4450010 Convert 44351444 (base 6) to base 14. 26b12c -334732 (base 8) to base 10 -113114 -13003201203 (base 4) to base 9 -3427856 What is 110010211120220 (base 3) in base 8? 30473110 Convert 12320223210 (base 4) to base 5. 430230103 What is 408081 (base 12) in base 6? 33344241 Convert -2142113 (base 6) to base 7. -623136 2162140 (base 7) to base 16 4140a What is -648605 (base 9) in base 14? -a0dad 1565076 (base 8) to base 15 8e422 Convert -31b65 (base 13) to base 9. -146182 Convert -21145215 (base 6) to base 9. -1145332 -2103223010 (base 4) to base 6 -20544152 610540 (base 7) to base 12 4baa4 Convert -10110000001101000111000 (base 2) to base 9. -11770242 -133103320230 (base 4) to base 3 -120110000010220 What is 154215502 (base 6) in base 4? 30201300332 Convert 210021221001220 (base 3) to base 11. 642a132 What is 2002021012 (base 3) in base 14? 10d3c What is 23211413 (base 5) in base 2? 110011010100111001 What is 20002031023 (base 4) in base 13? 589885 Convert -113343130 (base 5) to base 11. -3306a3 Convert -11001000211220 (base 3) to base 10. -2146065 330022331 (base 4) to base 8 741275 101210101200 (base 3) to base 4 303313023 Convert 406226 (base 10) to base 5. 100444401 -159b6 (base 14) to base 11 -37686 -19db1 (base 14) to base 16 -10117 112220320200 (base 4) to base 2 10110101000111000100000 What is 3111333110 (base 4) in base 2? 11010101111111010100 What is -414606 (base 7) in base 11? -4962a What is 12212100001 (base 3) in base 8? 341342 -22005402 (base 6) to base 16 -9fc4a Convert -18353 (base 14) to base 10. -61029 430021 (base 7) to base 14 1d1b8 What is 192c24 (base 14) in base 13? 2529a4 Convert -215223 (base 11) to base 12. -146a69 What is 253796 (base 10) in base 12? 102a58 Convert -12201233302 (base 4) to base 2. -110100001101111110010 -314515 (base 7) to base 2 -1101010010110011 66e17a (base 16) to base 12 2311a22 111110000011010011111 (base 2) to base 10 2033311 Convert -6bca7 (base 15) to base 6. -11211204 Convert -3866147 (base 10) to base 2. -1110101111111000100011 -1104441550 (base 6) to base 11 -6843270 What is 175525 (base 10) in base 2? 101010110110100101 What is 13112112002 (base 4) in base 10? 1926530 What is -1336553 (base 10) in base 3? -2111220101222 Convert -575759 (base 10) to base 15. -b58de -5244010 (base 6) to base 9 -427566 What is 3322733 (base 9) in base 6? 102143303 Convert -4395a (base 12) to base 16. -15d96 Convert -20123440 (base 5) to base 2. -100111010101100000 Convert 1010000010000111 (base 2) to base 13. 15922 Convert -250d87 (base 14) to base 3. -2101112122200 Convert -20310505 (base 6) to base 4. -2032233221 -100133134 (base 5) to base 10 -396044 1102245145 (base 6) to base 12 3b867b5 135676 (base 12) to base 7 2503536 1112031011 (base 4) to base 2 1010110001101000101 What is -38433 (base 16) in base 13? -80b80 -122531 (base 6) to base 7 -44032 What is -3a734d (base 16) in base 12? -1348951 Convert -151728 (base 9) to base 7. -535436 What is 111201223 (base 4) in base 15? 1b1d1 Convert 338426 (base 10) to base 2. 1010010100111111010 What is -2b196 (base 12) in base 14? -181c6 Convert 37cc5 (base 14) to base 12. 67331 Convert 59a61 (base 12) to base 2. 11101011110101001 What is 10101221100 (base 3) in base 2? 10000010111001111 What is 86298 (base 15) in base 3? 210122010222 What is 11002012112001 (base 3) in base 11? 1251799 What is -22241866 (base 9) in base 10? -10774599 What is -a67437 (base 12) in base 9? -4841387 -17873 (base 16) to base 13 -34b32 What is -111111011010011000 (base 2) in base 7? -2131151 Convert -41722 (base 13) to base 9. -188344 Convert -2325374 (base 8) to base 14. -126c8c 1598b6c (base 13) to base 3 111002121010011 22bc7 (base 16) to base 9 236147 Convert 12133232 (base 4) to base 12. 13492 What is 1110210121110 (base 3) in base 5? 200032030 Convert -25141232 (base 6) to base 12. -32a818 Convert -22210013 (base 5) to base 4. -233131033 -20223113 (base 7) to base 2 -110011011110000111110 Convert aa51a (base 16) to base 9. 1272860 101011110101110111010 (base 2) to base 10 1436602 What is -321034211 (base 6) in base 3? -101122001121221 What is 6716155 (base 8) in base 13? 4b4828 -488150 (base 9) to base 7 -2335005 What is -46ab8 (base 12) in base 3? -11211011112 -236164640 (base 7) to base 12 -4b29648 1000010111100001010 (base 2) to base 8 1027412 Convert -101011011100001100111 (base 2) to base 7. -15046016 -10010101011001011111 (base 2) to base 5 -124040220 1022101000202121 (base 3) to base 16 11ed4fd 7566710 (base 10) to base 16 737576 -325868 (base 9) to base 15 -3c9ee What is -31021330330 (base 4) in base 7? -41212222 Convert 33fb7 (base 16) to base 4. 303332313 Convert 2a87c1 (base 13) to base 3. 1222012100221 779574 (base 11) to base 12 4bb065 Convert 57663 (base 11) to base 7. 464623 Convert -256202 (base 15) to base 14. -3493b3 103000332 (base 4) to base 14 20554 What is 30011013120 (base 4) in base 9? 5855773 11100201021220 (base 3) to base 16 235aaf Convert -30441250 (
{ "pile_set_name": "DM Mathematics" }
3 rounded to the nearest ten thousand? 32970000 What is 0.00000109178052 rounded to 7 dps? 0.0000011 Round -935558.47 to the nearest one hundred. -935600 Round -267504.73 to the nearest 1000. -268000 Round -908.765667 to the nearest 10. -910 What is -0.0070813244 rounded to 5 decimal places? -0.00708 Round 2691486.016 to the nearest 100. 2691500 Round 101.6697157 to 1 decimal place. 101.7 Round 0.00201741885 to 7 dps. 0.0020174 What is -35.012527 rounded to the nearest ten? -40 Round -0.00014876947 to six decimal places. -0.000149 What is 0.00088144713 rounded to 7 decimal places? 0.0008814 Round 0.0081156228 to 5 dps. 0.00812 What is -48611177.2 rounded to the nearest 1000? -48611000 What is -1314701170 rounded to the nearest one million? -1315000000 What is -574.24155 rounded to one dp? -574.2 What is 0.0032591086 rounded to 4 decimal places? 0.0033 What is -3985.545061 rounded to one decimal place? -3985.5 What is 1.158770878 rounded to 3 dps? 1.159 What is -1031197.3 rounded to the nearest ten thousand? -1030000 Round -0.00316601374 to 3 dps. -0.003 What is -217406.077 rounded to the nearest 1000? -217000 Round 230537.64 to the nearest one hundred thousand. 200000 Round 0.00000343315948 to 7 dps. 0.0000034 What is -48.439971 rounded to the nearest integer? -48 What is -20925.706118 rounded to the nearest ten? -20930 Round 105193566.7 to the nearest one hundred thousand. 105200000 What is 213616.547 rounded to the nearest 100? 213600 Round -459457804 to the nearest 1000000. -459000000 Round -11.91267316 to 1 dp. -11.9 What is 0.0000834865085 rounded to six decimal places? 0.000083 Round -265532803 to the nearest one million. -266000000 What is 2761.55257 rounded to 0 dps? 2762 What is 73450.635 rounded to the nearest ten thousand? 70000 What is -432898207 rounded to the nearest ten thousand? -432900000 What is 37182.653 rounded to the nearest 10? 37180 What is 16759126.3 rounded to the nearest 1000? 16759000 What is -1004.66886 rounded to 1 decimal place? -1004.7 What is -0.000037342965 rounded to 7 decimal places? -0.0000373 What is 0.00065126267 rounded to five decimal places? 0.00065 What is 24.68156355 rounded to 3 dps? 24.682 What is 8056.564 rounded to the nearest one thousand? 8000 What is 3495237.526 rounded to the nearest one hundred thousand? 3500000 What is 269.5234462 rounded to one dp? 269.5 Round 179599244 to the nearest ten thousand. 179600000 Round 2011.79184 to 1 decimal place. 2011.8 Round 2.231626702 to 4 decimal places. 2.2316 Round -708058.7313 to the nearest one thousand. -708000 What is 0.0000475090754 rounded to 7 decimal places? 0.0000475 Round 105446985700 to the nearest one million. 105447000000 What is -0.0003193751177 rounded to 4 decimal places? -0.0003 Round -0.3611401 to one dp. -0.4 Round 74.788979 to one decimal place. 74.8 What is 174705.32175 rounded to the nearest ten? 174710 What is -69.81755934 rounded to two dps? -69.82 Round 4216392.08 to the nearest 100. 4216400 What is 0.0000809501057 rounded to seven dps? 0.000081 What is 435582.27 rounded to the nearest 10000? 440000 What is -335247.4424 rounded to the nearest 100000? -300000 What is 1813932.54 rounded to the nearest 100? 1813900 Round -269057.4771 to the nearest 100. -269100 What is -54038527700 rounded to the nearest 1000000? -54039000000 Round -5431.0677 to the nearest one hundred. -5400 What is -5.17868874 rounded to 3 decimal places? -5.179 What is 64013276 rounded to the nearest 10000? 64010000 What is -4.014238094 rounded to the nearest integer? -4 Round -8902.43514 to the nearest one hundred. -8900 What is 0.00791406833 rounded to 7 decimal places? 0.0079141 What is -1051223712 rounded to the nearest one hundred thousand? -1051200000 What is 0.00065238027 rounded to 7 dps? 0.0006524 What is 0.0129925031 rounded to 3 dps? 0.013 Round -299892040 to the nearest 1000000. -300000000 What is 0.00156958347 rounded to 7 dps? 0.0015696 What is -0.0032204318 rounded to four dps? -0.0032 Round 1256.2650219 to 2 dps. 1256.27 What is 15.0355316 rounded to 0 decimal places? 15 What is 391.5757604 rounded to the nearest ten? 390 What is 7696638.8 rounded to the nearest one hundred thousand? 7700000 Round -17857178.09 to the nearest ten thousand. -17860000 Round 935.81521 to zero dps. 936 Round -0.00004037905328 to 6 decimal places. -0.00004 Round 70888318.1 to the nearest ten thousand. 70890000 Round 3689007 to the nearest ten thousand. 3690000 Round -0.121724401 to five decimal places. -0.12172 What is 1.47792893 rounded to two decimal places? 1.48 Round -0.0122500266 to 3 dps. -0.012 What is 5912286.9 rounded to the nearest one million? 6000000 What is 0.00019426532 rounded to 5 decimal places? 0.00019 What is 4.206259009 rounded to 2 dps? 4.21 What is -0.006655528227 rounded to seven decimal places? -0.0066555 Round 67.1647535 to two dps. 67.16 What is 0.0009095372 rounded to five decimal places? 0.00091 Round -2289604.529 to the nearest ten. -2289600 What is -0.00033247251 rounded to 5 dps? -0.00033 Round 15.86915201 to 2 dps. 15.87 Round 0.00185392791 to 5 dps. 0.00185 What is 45.4224001 rounded to the nearest 10? 50 Round -127515.3166 to the nearest 10. -127520 What is 32.123554 rounded to two dps? 32.12 What is 0.00000118392528 rounded to seven dps? 0.0000012 What is -0.05951049 rounded to five dps? -0.05951 What is 556938570 rounded to the nearest one hundred thousand? 556900000 What is 2.4421114648 rounded to five decimal places? 2.44211 Round 2.371156463 to five decimal places. 2.37116 What is 1190658.801 rounded to the nearest 100? 1190700 What is -5.750136 rounded to one decimal place? -5.8 Round 3596.225299 to the nearest ten. 3600 What is 0.88896653 rounded to 4 decimal places? 0.889 Round -4381345.086 to the nearest 1000000. -4000000 What is -5952534.055 rounded to the nearest 100? -5952500 Round 0.12159147549 to 5 dps. 0.12159 Round 0.00258941107 to 4 dps. 0.0026 What is -0.00000742785661 rounded to 6 decimal places? -0.000007 What is 42455.76057 rounded to the nearest 100? 42500 What is 940551.7349 rounded to the nearest ten thousand? 940000 Round 220.535938 to 0 dps. 221 What is 15942276.321 rounded to the nearest 100000? 15900000 Round -10404.9956 to the nearest 10000. -10000 Round 0.123565917 to two dps. 0.12 What is -361926.35 rounded to the nearest one hundred? -361900 Round -16.7869585 to two dps. -16.79 What is 3890392.18 rounded to the nearest 1000? 3890000 Round -0.45950543 to 4 decimal places. -0.4595 What is -0.00000686953386 rounded to 7 decimal places? -0.0000069 What is -0.0075546341 rounded to six dps? -0.007555 What is 60943513 rounded to the nearest 1000000? 61000000 Round -18.0519973 to one decimal place. -18.1 What is -0.0000767633543 rounded to 6 decimal places? -0.000077 Round 1711.81351 to the nearest ten. 1710 Round 0.03334121703 to five decimal places. 0.03334 What is -722581.174 rounded to the nearest 100000? -700000 What is 33514.822 rounded to the nearest ten thousand? 30000 What is 20414.05364 rounded to the nearest 1000? 20000 Round 18589050.5 to the nearest 100000. 18600000 What is 977.168219 rounded to two dps? 977.17 Round -478650.547 to the nearest 10000. -480000 Round 0.00001264303626 to 7 decimal places. 0.0000126 What is 0.121388356 rounded to 2 dps? 0.12 What is -1755.746095 rounded to the nearest one hundred? -1800 Round -0.00015842243169 to seven decimal places. -0.0001584 Round 104063.0229 to the nearest ten. 104060 What is -0.15540417 rounded to 2 decimal places? -0.16 What is 0.0411915261 rounded to 3 decimal places? 0.041 Round -261347.162 to the nearest ten thousand. -260000 Round -78567.8062 to the nearest 10. -78570 Round -0.000114536258 to seven decimal places. -0.0001145 What is -5093.0996 rounded to the nearest ten? -5090 What is -0.072498634 rounded to 2 dps? -0.07 Round -422227.892 to the nearest 1000. -422000 What is -0.000030752035 rounded to six decimal places? -0.000031 Round -236330.0414 to zero dps. -236330 Round 510.84208 to 0 dps. 511 Round 133355.8815 to the nearest 1000. 133000 What is -83153446.94 rounded to the nearest 100000? -83200000 What is -23476.7195 rounded to the nearest 100? -23500 Round 0.0184677113 to five decimal places. 0.01847 Round 0.0015731089 to 4 decim
{ "pile_set_name": "DM Mathematics" }
econd derivative of j**4/12 + 5*j. Let o(s) = 5*s**2. Determine 2*o(v) - 9*y(v). v**2 Let j(u) = 2*u**3 + 6*u**2 + u. Let p(m) be the third derivative of m**6/60 + 7*m**5/60 + m**4/24 - 10*m**2. Determine 5*j(i) - 4*p(i). 2*i**3 + 2*i**2 + i Let x(q) = -540*q**3 + 99*q**2 - 99*q + 99. Let a(d) = 11*d**3 - 2*d**2 + 2*d - 2. Calculate -99*a(c) - 2*x(c). -9*c**3 Let c(z) = 6*z + 5. Let j(y) = -y - 1. Let b be 2 - (0 - (-32)/4). Calculate b*c(q) - 30*j(q). -6*q Let q(a) = -a + 1. Let o(c) be the second derivative of c**3/6 - 2*c**2 - c. Let t = 234 + -238. What is t*q(j) - o(j)? 3*j Let p(m) = -2*m**3 + 3*m**2 - m + 1. Let g(h) = -h**3 + h**2 + 1. Suppose -5*k - 12 = -4*i + 3, -2*k + 2 = 0. Suppose 0 = -i*l - 0 - 5. What is l*p(q) + 3*g(q)? -q**3 + q + 2 Let p(r) = 13*r**2 - 5. Let o(h) = -168*h**2 + 64. What is -5*o(s) - 64*p(s)? 8*s**2 Let f(j) = -25*j**2 + 20*j - 3. Let m(c) = -7 + 26*c - 50*c**2 + 5*c + c + 9*c. Let q(y) = 7*f(y) - 3*m(y). Let r(h) = 3*h**2 - 2*h. Give 6*q(b) + 51*r(b). 3*b**2 Let s(d) = -4*d**2 - 5*d + 1. Let p(u) = -3*u**2 - 4*u + 1. Give 7*p(h) - 6*s(h). 3*h**2 + 2*h + 1 Suppose 0 = 5*g - f - 24, -3*f + 8 = 2*g - g. Let m(s) = 3*s - 1. Let i(w) = -5*w + 1. Determine g*i(c) + 8*m(c). -c - 3 Let p(u) = -7*u**3 + 5*u**2 + 5*u + 5. Let d(a) = -20*a**3 + 14*a**2 + 14*a + 14. Calculate 5*d(v) - 14*p(v). -2*v**3 Let q(l) = -l**3 + l**2. Let n(k) = 5*k**3 - 4*k**2 - 1. Determine -n(x) - 3*q(x). -2*x**3 + x**2 + 1 Let x(l) = l**2 + 4*l + 4. Let u be x(-4). Let c(b) = 6*b - 4. Let k(d) = 507*d - 5 - 502*d + 2. Determine u*k(i) - 3*c(i). 2*i Let p(s) = 3*s + 5. Let f(z) = 6*z + 11. Suppose q + 2 = u + 1, 0 = -2*u - q + 11. Suppose -4*m + 32 = -u. Calculate m*p(n) - 4*f(n). 3*n + 1 Suppose 2*r = -2*r. Let n(z) = -1 - z - z**2 + r + 2*z. Suppose 4*k = -5*m - 14, 2*m + 2 = -2*k + 4*k. Let i(a) = -4*a**2 + 2*a - 1. Calculate m*n(l) + i(l). -2*l**2 + 1 Let u = -11 + 15. Suppose z - 90 = -u*z. Let b(m) = 5*m - 4. Let g(n) = -6*n + 2*n + 9*n - 1 - 4*n. Calculate z*g(r) - 4*b(r). -2*r - 2 Let u(y) = -1. Let c(s) = s**2 - 4. Let i = -1 + -9. Let o be ((-4)/i)/((-3)/(-15)). Calculate o*u(a) - c(a). -a**2 + 2 Let t(y) = 12*y - 7. Let n(q) = q. Let v(j) = 5*n(j) - t(j). Let a(i) = 3*i - 3. Let p = 90 - 81. Calculate p*a(b) + 4*v(b). -b + 1 Suppose g - 6*g = -2*y - 293, 2*g - 115 = 3*y. Let z = -41 + g. Suppose 4*u - u + z = 0. Let r(l) = -4*l + 3. Let d(h) = -15*h + 11. What is u*d(c) + 22*r(c)? 2*c Let n(w) = -5*w**3 + 4*w**2 + 4*w + 4. Let j(i) = -i**3 - i**2 - i - 1. Determine -4*j(l) - n(l). 9*l**3 Let k(q) = 2*q - 2. Suppose -5 = 4*t - 13. Let x(j) = -j**3 + 3*j - 3. Determine t*x(y) - 3*k(y). -2*y**3 Let d be (-30)/(-7) + (-8)/28. Let y(k) = -6*k**2 - k. Let w be 6/(-4) - (-26)/4. Let s(l) = 169*l + 0*l**2 + 7*l**2 - 168*l. Determine d*s(o) + w*y(o). -2*o**2 - o Let q(l) = l**2 - 1. Let n(k) = -k**3 + 2*k**2 - 2. Let c(f) = -f**2 + 7*f - 5. Let d be c(5). Let o = d + -2. Determine o*q(s) - n(s). s**3 + s**2 - 1 Let p = -35 - -30. Let h(r) = 5*r + 4. Let n(b) = -1 + 3 + 4*b + 1. What is p*h(c) + 6*n(c)? -c - 2 Let z = 0 - -1. Let l(c) = 1 - 2*c - z. Let j(w) = -8*w + 7 + 5 - 13. What is 2*j(v) - 9*l(v)? 2*v - 2 Let a(w) = 8*w - 17. Let j(m) = -m + 2*m + 0 - 1 - 1. What is 6*a(c) - 51*j(c)? -3*c Let f(r) = 1. Let t(n) = 2*n + 3. Let m be 6/(-18)*(-4 - -1). Suppose 0 = 2*l - 3*i + 17, 4*i + m = -2*l + 5. What is l*f(a) + t(a)? 2*a - 1 Let i(h) = -14*h**2 - 12*h + 12. Let l(t) = -t + 1. What is -i(w) + 12*l(w)? 14*w**2 Let k(p) = -p. Let u(v) = -5*v + 1. Let b(y) = -6*k(y) + u(y). Let l(r) = 2*r + 6. Determine -6*b(i) + l(i). -4*i Suppose -4*g = 13 - 37. Let c(y) = -4*y**2 + 8*y + 1. Let m(t) = 9*t**2 - 17*t - 2. Let f be -2*((-66)/2)/3. Suppose -f - 43 = -5*d. What is d*c(x) + g*m(x)? 2*x**2 + 2*x + 1 Let r(w) = -3*w**3 + 2*w - 1. Let s(y) = -4*y**3 + y**2 + 3*y - 2. Calculate -3*r(g) + 2*s(g). g**3 + 2*g**2 - 1 Suppose -3*c + 4 = -2. Let b(j) = -3*j + j**2 + 4*j + 1 - c*j. Let f(t) = 3*t**2 - 4*t + 4. Let w = 4 + -3. Give w*f(k) - 4*b(k). -k**2 Let h(f) = 3*f - 2. Let u(a) = -a. Give h(n) + 2*u(n). n - 2 Let v(q) = -4 - q**2 - 3*q + 3 + 4*q. Let t(l) be the third derivative of -1/6*l**4 + 0*l + 0 + 2/3*l**3 + 1/12*l**5 + l**2. Determine -t(d) - 4*v(d). -d**2 Let n(j) = -5*j**2 + j + 2. Let a(b) = -4*b**2. Let d(l) = l**2. Let p(h) = a(h) + 5*d(h). What is -n(m) - 3*p(m)? 2*m**2 - m - 2 Let a(m) = 15*m**3 - 3. Let p(o) = 180*o**3 - 35. What is 35*a(w) - 3*p(w)? -15*w**3 Let k(o) be the second derivative of o**3/6 - o**2/2 + 3*o. Let z(s) = 4*s - 4. Let m(y) = 5*y - 5. Let i(c) = -4*m(c) + 3*z(c). What is -i(f) - 10*k(f)? -2*f + 2 Let d(b) = 2*b - 5. Let m(a) = -a**3 - 6*a**2 + a + 10. Let l be m(-6). Let v(t) = -l*t + 5*t - 4*t + 8. Calculate 8*d(x) + 5*v(x). x Let f(g) = -7*g**3 + 4*g**2 + 4*g + 3. Let x(m) = -15*m**3 + 9*m**2 + 9*m + 6. What is 9*f(n) - 4*x(n)? -3*n**3 + 3 Let s(x) = -x**2 - x - 1. Let d(l) = -4*l**3 + l**2 - l + 2. Give -d(r) - 3*s(r). 4*r**3 + 2*r**2 + 4*r + 1 Suppose -i = i - 6. Let j(w) = -2*w - 3*w + 2*w + i + 5*w. Let s(c) = -3*c - 5. Calculate -5*j(p) - 3*s(p). -p Let w be (3/3 + -2)*-2. Let b(p) = 0*p + 1 + 3*p**2 - p + 4 - 5*p**w. Let v(f) = 1. Give -b(s) + 3*v(s). 2*s**2 + s - 2 Let i(u) = 4*u**3 - 5*u**2 + 5*u + 5. Let j(g) = 2*g**3 - 2*g**2 + 2*g + 2. Let z be (0 + 0 + 1)/(1/(-2)). Determine z*i(n) + 5*j(n). 2*n**3 Let y(n) = 56*n**2 - 70. Let x(d) = d**2 - 1. Determine 70*x(q) - y(q). 14*q**2 Let k(g) = -8*g**2 + 10*g. Let w(h) = -h**2 + h. Suppose -3*d = -r - 60, 3*d - 3*r = 7*d - 80. Give d*w(c) - 2*k(c). -4*c**2 Let i(q) = 9*q**2 + 5. Let j(y) = 5*y**2 + 2. What is 3*i(g) - 5*j(g)? 2*g**2 + 5 Let l(v) = -6*v**2 + 4. Let n(t) = -t**2 + t + 1. Suppose 0 = 3*o - 19 + 31. What is o*n(s) + l(s)? -2*s**2 - 4*s Let c(k) = 1 - k**2 + 6*k - 4*k - k. Suppose 14*a + 60 = 17*a. Let u = a - 14. Let n(h) = 8*h**2 - 6*h - 5. Give u*c(i) + n(i). 2*i**2 + 1 Let k(c) = -7*c**3 + 3*c**2 + 5*c - 2. Let t(r) = 3*r**3 - r**2 - 2*r + 1. Let s(g) = -27*g + 2. Let o be s(-4). Let d be 2/4*o/11. Give d*t(v) + 2*k(v). v**3 + v**2 + 1 Let y(b) = -b**3 - b**2 + 2. Let a be y(0). Let r(x) = 17*x**3 - 17*x**2 - 9. Let l(q) = 4*q**3 - 4*q**2 - 2. What is a*r(i) - 9*l(i)? -2*i**3 + 2*i**2 Let w(p) = 6*p + 1. Let b(x) = -13*x - 3. Let k(v) = -2*b(v) - 5*w(v). Let m(c) = -c. Let a be 126/14 - 1*3. Calculate a*m(z) - 2*k(z). 2*z - 2 Let t(a) = 2*a**2 + 2*a + 1. Let c(n) = n**3 + n**2 + n. Let l = 13 - 11. Suppose -5*r + 21 = 2*v + l*v, 2*v = -r + 3. Calculate v*t(d) + 2*c(d). 2*d**3 - 1 Let x(y) = -2*y + 11. Let j(p) = -p**3 + 11*p**2 - 9*p - 4. Let c be j(10). Let r(v) = v - 6. Determine c*x(n) + 11*r(n). -n Let c(f) = -41*f**3 + 3*f**2 + 3. Let v(r) = -42*r**3 + 2*r**2 + 2. Determine -4*c(o) + 6*v(o). -88*o**3 Let d(v) = 1. Let a(j) be the first derivative of 2*j**3/3 - 3*j - 7. Give a(q) + 3*d(q). 2*q**2 Let z(b) = b**2 - 2*b + 2. Let k(c) = c**2 - c + 1. Let a = 34 - 36. Calculate a*z(f) + 4*k(f). 2*f**2 Let u(g) = -1 - 1355*g**2 + 4*g + 1 + 1346*g**2. Let c(x) = -4*x**2 + 2*x. Determine 5*c(d) - 2*u(d). -2*d**2 + 2*d Let r(z) = -13*z**3 - 21*z**2 - z. Let v(w) = 3*w**3 + 5*w**2. Let j be (-18)/(-8) - (-1 - (-25)/20). Give j*r(h) + 9*v(h). h**3 + 3*h**2 - 2*h Let b = 2 + -1. Let h(q) = -5*q**2 - q + 3. Let c(o) = -o**2 + 0 - 5 + o + 6. Let v(u) = -2*c(u) + h(u). Let p(y) = y**3 + y**2 + y - 1. Give b*p(l) + v(l). l**3 - 2*l**2 - 2*l Let r(f) = f + 3. Let n = -8 - -15. Let l(v) = -4*v - 10. Determine n*r(c) + 2*l(c). -c + 1 Let k(y) = 2*y**3 + y - 2. Let d(t) = t - 1. Calculate -3*d(j) + k(j). 2*j**3 - 2*j + 1 Let u(i) = 4*i - 3 - i - 5*i. Let m(q) = -11 + 19 - q - 10. Give -4*m(g) + 3*u(g). -2*g - 1 Suppose -i = 2*i - 4*z - 28, 0 = -4*z - 16. Let k(l) = -5*l**3 - 11*l**2 + 20*l + 11. Let d(j) = -2*j**3 - 4*j**2 + 7*j + 4. Determine i*k(m) - 11*d(m). 2*m**3 + 3*m Let m(c) = c - 9. Let i(a) be the second derivative of -2*a**3/3 - a**2 - a. Let k(j) be the first derivative of i(j). Determine 5*k(n) - 2*m(n). -2*n - 2 Let i(c) = c**2 - 4*c - 1. Let n = 2 - 11. Let s = -2 - n. Suppose -2*j + s = t, 2*t - 5 + 3 = 0. Let u(g) = g**2 - 2*g - 1. What is j*i(m) - 5*u(m)? -2*m**2 - 2*m + 2 Let b(o) = 3*o**3 - 5*o - 6. Let m(g) = 2. Let l(d) = d +
{ "pile_set_name": "DM Mathematics" }
= 1590*r - 4171*r - 601*r + 459073 for r. 83 Solve 3295*p = -114209 + 58002 - 220573 for p. -84 Solve 2842*r + 3289 + 3665 = 3151*r - 2007 for r. 29 Solve -6304*g - 55685 = -93950 + 593017 for g. -88 Solve -688322 = -7645*g - 3381*g + 390598 + 23680 for g. 100 Solve -1971*p = -1935*p - 1388 + 63 - 43 for p. 38 Solve 255*h + 208*h - 5579 - 5842 = 8488 for h. 43 Solve -364 = 2840*u - 5637*u + 2849*u for u. -7 Solve 0 = -19933*g + 22922*g - 86681 for g. 29 Solve 6915 = 2069*q - 805*q - 113165 for q. 95 Solve -48*m + 5304 = -m + 89*m for m. 39 Solve 0 = 5347*q - 51344 - 349561 + 5227 for q. 74 Solve 1140*j + 2807*j = 43417 for j. 11 Solve 8*f - 2335 - 833 + 192 = -54*f for f. 48 Solve 44561 + 34207 = -1137*i - 1051*i for i. -36 Solve -224*r - 125486 + 96814 = 0 for r. -128 Solve 547632 = -937*k + 512026 for k. -38 Solve -268*s = 415*s + 376*s - 384*s - 6750 for s. 10 Solve 7856 = 50*i + 8056 for i. -4 Solve -20300 = 90289*h + 90419*h - 180883*h for h. 116 Solve 0 = 24478*g + 11550*g + 3242520 for g. -90 Solve 725*t - 814*t = -3916 for t. 44 Solve 617435*m - 617439*m = -80 for m. 20 Solve 1793 = 306*g - 46*g + 881 - 2728 for g. 14 Solve -1067802*t = -1068528*t - 726 for t. -1 Solve -2458*a = -14826*a - 75991 - 134252 - 185533 for a. -32 Solve -77*a + 479*a - 1005 + 8829 = -7854 for a. -39 Solve 330*n = 698*n - 336*n + 480 for n. -15 Solve 5203*a + 1724*a = 96978 for a. 14 Solve -1590*m - 2103*m - 10142 = -288*m + 20503 for m. -9 Solve -14654453*s - 8190 = -14654558*s for s. 78 Solve -22441*h - 505 + 828 + 953 = -22499*h for h. -22 Solve 1056*g - 36062 = -807*g + 326*g + 150*g for g. 26 Solve 3826*d + 3839*d + 459900 = 0 for d. -60 Solve 626 + 337 + 5134 = 91*y for y. 67 Solve 0 = -7611*p - 9451*p - 750728 for p. -44 Solve -11408 = 1702*j + 1512*j - 3398*j for j. 62 Solve -808*i = 1536*i - 91416 for i. 39 Solve -4972 - 1436 = 267*k for k. -24 Solve -185*c = -1219 + 10839 for c. -52 Solve 240*n + 27665 = -1934*n + 82015 for n. 25 Solve 8147*w + 8049*w - 102627 = 7605*w - 6070*w for w. 7 Solve -535764*w + 535653*w = -5439 for w. 49 Solve -390*m + 2421 = -2590 + 5729 + 19172 for m. -51 Solve 4316 = 25*y + 3541 for y. 31 Solve 2449*z - 2601 + 9049 = -29451 - 3285 for z. -16 Solve -5095394 = -32*j - 5091906 for j. 109 Solve 417*v = -2084*v + 374*v - 201*v + 44232 for v. 19 Solve -831*x = 37*x + 537*x - 67440 for x. 48 Solve -96*t - 540*t = 629*t + 258*t - 102041 for t. 67 Solve -23*m + 446*m + 126*m + 35882 = 83*m for m. -77 Solve 141*r + 215711 = 218954 for r. 23 Solve 88405 + 149411 - 24042 = 2607*y for y. 82 Solve 0 = -216*n + 45748 - 37108 for n. 40 Solve 129*c + 1983 - 1267 - 5096 = 494*c for c. -12 Solve -358*y + 5609 + 5200 = -3642 - 2017 for y. 46 Solve -77*r - 3*r - 466 - 974 = 0 for r. -18 Solve -1177*t + 5334 = 51237 for t. -39 Solve -5*w + 15 + 220 = 26 - 71 for w. 56 Solve -3454670*c = -3454864*c - 13580 for c. -70 Solve -5396*f + 1370*f - 194355 - 23255 = -32414 for f. -46 Solve -12735*y = -14929 + 16517 - 20764 - 69969 for y. 7 Solve 3831*k - 7618*k + 1482 = -3844*k for k. -26 Solve 8222 = -306*l + 681*l - 294*l + 608 for l. 94 Solve -472*l = 144*l + 262*l - 42144 for l. 48 Solve 20629*g - 1221 = 41309*g - 20643*g for g. -33 Solve 25783 = -358*k + 1479*k for k. 23 Solve 940*u + 24671 + 58039 = -8470 for u. -97 Solve 2585*m - 10278 = -2840 + 8072 for m. 6 Solve -39 = -1229897*s + 1229884*s for s. 3 Solve 353*b + 1721 - 3310 - 8611 = -327*b for b. 15 Solve -798 = -58*x - 93*x + 193*x for x. -19 Solve -274784 = -12378*c + 800868 - 196814 for c. 71 Solve 0 = 353*c - 3128 + 13718 for c. -30 Solve -10284918*g + 10284986*g + 6120 = 0 for g. -90 Solve -596*y - 553*y = 352*y + 100567 for y. -67 Solve 0 = -924*f - 426*f + 14850 for f. 11 Solve -2418 - 867 = 219*o for o. -15 Solve -2570*b + 14635 = -47045 for b. 24 Solve -7981*d + 11127*d = -18876 for d. -6 Solve 622*b = -203*b - 111 - 699 - 2490 for b. -4 Solve -115*a = -23*a - 5563 - 233 for a. 63 Solve 48489*g - 48374*g + 5865 = 0 for g. -51 Solve -3067*j = -356*j + 37954 for j. -14 Solve 1665*r - 17010 = 2799*r for r. -15 Solve -1914*j + 35370 = -113922 for j. 78 Solve -352*k + 50252 - 12949 = 159*k for k. 73 Solve 65251 + 46589 = 3495*f for f. 32 Solve -5899 + 8538 = 836*k - 35872 - 16665 for k. 66 Solve 7462 = 2793*u - 3080*u for u. -26 Solve 0 = 3224*p + 68005 + 148003 for p. -67 Solve -847*d - 4304*d = -818*d + 294644 for d. -68 Solve 0 = -1111*v + 10814 - 47477 for v. -33 Solve 3*g + g - 3766 = -4102 for g. -84 Solve 1726 = 99*k + 16 - 2250 for k. 40 Solve -4950*f - 12448 = -4561*f for f. -32 Solve -673*g - 37010 = 316*g - 1327 + 11789 for g. -48 Solve -224842 + 230442 = 56*d for d. 100 Solve 5*n + 403 - 130 + 623 = -27*n for n. -28 Solve 3436*z + 21126 = 1927*z for z. -14 Solve -1330898*v + 645 = -1330913*v for v. -43 Solve 1787*y - 862 = -5942 - 4903 - 15035 for y. -14 Solve -8171*s - 11088 = 4879*s + 54162 for s. -5 Solve 5986*s + 28320 + 5565 = 5233*s for s. -45 Solve 4214*x - 11691 = 3992*x + 4959 for x. 75 Solve 0 = 4536*m - 4303*m + 4893 for m. -21 Solve -14389 = 2743*x + 4812 for x. -7 Solve -380*a = 166*a + 15010 + 10159 + 17419 for a. -78 Solve 323*s + 363*s - 11117 - 13388 = -159*s for s. 29 Solve -745*c - 3857 + 7687 = -11070 for c. 20 Solve -40*g - 219 - 1366 + 65 = 0 for g. -38 Solve 558*m + 4187 = -835 for m. -9 Solve 5241*x - 10498*x - 28 = -5243*x for x. -2 Solve -1505*t + 429726 = 6921*t for t. 51 Solve -100*q + 555*q = 19565 for q. 43 Solve -15863*t + 413184 = -2951*t for t. 32 Solve -13784 - 16992 = -446*x - 10399 + 33589 for x. 121 Solve 26187762 = -28*z + 26188854 for z. 39 Solve 60*c - 1417 - 641 - 667 = 2615 for c. 89 Solve 279 = 48*c + 1950 + 1353 for c. -63 Solve -4778*p + 31134 = -7090 for p. 8 Solve -12858 + 16071 = -51*n for n. -63 Solve 6 - 128 = 7*p + 192 - 790 for p. 68 Solve -5220*n + 191*n + 287664 = -495*n + 998*n for n. 52 Solve 56*y + 59*y - 1736796 + 1735646 = 0 for y. 10 Solve 7734*x - 394264 = 1242*x - 186683 + 279319 for x. 75 Solve 142372 + 228937 = -7657*t - 7695 - 34474 for t. -54 Solve -6515*d + 343104 = 633*d for d. 48 Solve -24*p - 7*p = 26*p + 9*p + 3630 for p. -55 Solve 19921 = 637*f + 42853 for f. -36 Solve 205*n + 194*n + 103*n + 22715 + 2385 = 0 for n. -50 Solve -72067 - 19679 = 2483*l + 22761 + 54337 for l. -68 Solve 148*a + 13038 - 19106 = 0 for a. 41 Solve -4038 - 4350 + 7233 = 55*p for p. -21 Solve -1939 = -57*z - 93*z + 4961 for z. 46 Solve -249*x = -487268 + 478802 for x. 34 Solve 14*y + 110*y = -221*y - 8280 for y. -24 Solve 7112 = -1494046*u + 1494300*u for u. 28 Solve -1985*a + 82013 = -4717*a - 202115 for a. -104 Solve 0 = 448*u + 1111494 - 1165702 for u. 121 Solve 880936 - 899110 = -233*l for l. 78 Solve -6257*u + 2129*u - 3285 = -21847 + 2050 for u. 4 Solve 0 = 25289*p - 24769*p + 34077 + 15843 for p. -96 Solve 57912 = -548699*n + 548191*n for n. -114 Solve 3493*z - 3152*z - 22506 = 0 for z. 66 Solve 21360*u - 816228 - 849852 = 0 for u. 78 Solve 98*r + 602 = 1173 + 605 for r. 12 Solve 1306*m - 114144 = 378*m + 2117*m for m. -96 Solve -121*n - 21*n - 3182 - 336 = 1452 for n. -35 Solve -16933937*b = -16934055*b + 3422 for b. 29 Solve -46*g + 3159 = -9051 + 7012 for g. 113 Solve -1936*k + 1089*k + 20328 = 0 for k. 24 Solve 2968*u - 48592 = 4832 for u. 18 Solve 10846*z = 10714*z - 622 - 3998 for z. -35 Solve -9*v - 5*v + 3922 = 42*v - 3*v for v. 74 Solve 208582 = -1555*j + 228797 for j. 13 Solve -47*p + 3339 - 400 = 22*p - 2443 for p. 78 Solve -1742*s + 62930 = -2641*s for s. -70 Solve -1796 + 3983 - 9607 = 141*w + 9923 for w. -123 Solve -9140*l - 111408 = 4332*l + 454*l for l. -8 Solve -221*q - 186 = -64*q - 73*q - 2034 for q. 22 Solve 6260 - 53 = -312*w - 303*w - 2403 for w. -14 Solve 432083 = -2099*b - 3256*b + 301748 - 389100 for b. -97 Solve 256648 = 187*h + 248981 for h. 41 Solve 13*s + 84*s = -114*s - 8651 for s. -41 Solve 145 = -36*l + 64 - 387 for l. -13 Solve 211*b + 3334 + 475 = -120*b + 830 for b. -9 Solve 0 = 91*x - 11545318 + 11546865 for x. -17 Solve 364*g - 31563 = -343*g - 2576 for g. 41 Solve 3*s + 2178 = -78*s + 312 - 1293 for s. -39 Solve 156868*d - 9 + 152 + 433 = 156852*d for d. -36 Solve 27265 = -700*j - 79*j for j. -35 Solve 10*c - 42*c - 33*c = 3*c + 2924 for c. -43 Solve -237*y - 3697 + 10153 = -5157
{ "pile_set_name": "DM Mathematics" }
Is 26 a factor of 2357783324? True Is 33 a factor of 15836777? False Does 1233 divide 337452306? False Is 1286467637 a multiple of 247? True Is 212471237 a multiple of 139? False Is 398 a factor of 669814712? False Is 68851301 a multiple of 472? False Is 38 a factor of 34664636? False Does 117 divide 255467160? True Does 2016 divide 53895744? True Does 17 divide 4633995954? False Is 5 a factor of 14625135? True Is 38775175 a multiple of 395? True Does 826 divide 1356695088? True Does 4264 divide 797939376? True Does 604 divide 131609799? False Is 2941 a factor of 3988068764? False Is 107 a factor of 11505608? False Is 167 a factor of 805400590? False Is 166552845 a multiple of 15? True Is 2596672217 a multiple of 5092? False Does 4 divide 802454? False Is 1019 a factor of 124032680? True Is 71699968 a multiple of 32? True Is 4041 a factor of 487498158? True Does 1081 divide 174508337? False Is 1352025272 a multiple of 13? True Does 306 divide 15731766? True Is 966543060 a multiple of 140? True Is 25 a factor of 56172350? True Does 49 divide 76385963? False Does 6 divide 223588? False Is 382 a factor of 1219590390? True Is 27236535 a multiple of 699? True Does 142 divide 761994294? True Is 2372 a factor of 198676348? True Is 127198959 a multiple of 29? True Is 53256847 a multiple of 203? True Does 32 divide 23635148? False Does 68 divide 86945004? True Is 1397 a factor of 2470101359? True Is 927 a factor of 8057049? False Is 250506427 a multiple of 528? False Is 341809574 a multiple of 107? True Is 101 a factor of 125582588? False Is 45063414 a multiple of 33? True Is 57864952 a multiple of 536? True Is 59936813 a multiple of 2086? False Does 13 divide 88707189? False Is 22604969 a multiple of 1288? False Is 5190049546 a multiple of 3858? False Is 375858432 a multiple of 1332? True Is 95402448 a multiple of 1252? False Does 5 divide 82252618? False Does 10 divide 567460278? False Is 8 a factor of 76195621? False Is 70 a factor of 536158108? False Does 31 divide 30581004? True Is 60502907 a multiple of 59? True Does 443 divide 382257169? True Is 59 a factor of 540553280? True Is 3081 a factor of 1605773892? False Is 251416097 a multiple of 2861? True Does 9 divide 612370819? False Is 3149 a factor of 1689907607? False Is 273 a factor of 80819193? True Is 421 a factor of 15061428? False Does 1174 divide 161849251? False Is 8504444 a multiple of 26? True Does 128 divide 1929228800? True Does 1365 divide 36046920? True Does 281 divide 39701366? True Is 1875 a factor of 1830298125? True Is 36441174 a multiple of 462? True Is 13032 a factor of 4974209240? False Is 8345634 a multiple of 409? False Is 375099206 a multiple of 1775? False Does 406 divide 945820036? True Does 7 divide 791573864? False Does 1826 divide 71472200? False Is 124 a factor of 248133088? False Does 322 divide 100252842? False Does 17 divide 29131744? True Is 15 a factor of 108931995? True Is 14 a factor of 7511819? False Is 247 a factor of 1305300965? False Does 180 divide 75733512? False Is 19 a factor of 44868942? False Does 773 divide 58615044? True Is 46 a factor of 18990601? False Is 199 a factor of 52712712? True Does 150 divide 203010900? True Does 1097 divide 4786325490? False Is 142783971 a multiple of 2043? False Does 45 divide 180489788? False Is 8 a factor of 952781418? False Does 8 divide 188313969? False Is 5351784 a multiple of 328? False Does 28 divide 241356734? False Is 13 a factor of 125337602? True Does 62 divide 22714242? False Is 5 a factor of 36342267? False Is 1865 a factor of 408785620? True Is 553 a factor of 25248949? False Does 102 divide 6854706? True Is 12 a factor of 23577576? True Is 896942639 a multiple of 2? False Is 2319218 a multiple of 55? False Is 63197320 a multiple of 257? False Is 4 a factor of 2086818244? True Is 998112 a multiple of 222? True Does 514 divide 1540488? False Does 793 divide 1813591? True Does 33 divide 124283511? True Is 5 a factor of 845824? False Is 245735005 a multiple of 1630? False Does 74 divide 789620384? False Does 1262 divide 21348052? False Is 170 a factor of 27813550? False Is 55117484 a multiple of 149? True Is 81 a factor of 15158960? False Is 2442 a factor of 877359481? False Does 449 divide 77969748? True Is 77997840 a multiple of 10? True Does 3887 divide 1501431490? True Is 8613 a factor of 3798513873? True Is 11895886 a multiple of 1955? False Is 285743655 a multiple of 234? False Is 98887573 a multiple of 662? False Is 1517865 a multiple of 2? False Is 486 a factor of 18022338? True Does 4668 divide 341390332? False Does 15 divide 377362738? False Is 238321115 a multiple of 396? False Is 78190658 a multiple of 91? True Is 588975354 a multiple of 594? True Is 2197 a factor of 3656451721? True Is 12719 a factor of 1364254954? False Is 10 a factor of 102590180? True Is 6730653 a multiple of 2? False Is 8541036 a multiple of 6? True Is 227324880 a multiple of 9? True Is 598 a factor of 101262330? True Is 229051699 a multiple of 31? False Is 75902433 a multiple of 11? False Is 112 a factor of 38475347? False Is 2571614 a multiple of 14? False Does 62 divide 763766836? False Is 26821848 a multiple of 109? True Does 14 divide 118155338? True Is 1968744512 a multiple of 10052? True Is 28 a factor of 54213908? True Is 1708 a factor of 742284833? False Does 4162 divide 2579012434? True Is 147535325 a multiple of 306? False Does 28 divide 16139648? True Is 33 a factor of 71895486? False Does 2477 divide 46158895? True Is 647591153 a multiple of 11? True Is 24 a factor of 1120307619? False Is 146 a factor of 189338? False Is 1130369490 a multiple of 11? False Is 9523646 a multiple of 123? False Is 97533228 a multiple of 13? True Is 64256710 a multiple of 749? True Is 1847 a factor of 29188141? True Is 361436856 a multiple of 3862? True Is 473839740 a multiple of 5940? True Is 32 a factor of 3518560? True Is 15170076 a multiple of 747? True Is 85509942 a multiple of 14? True Is 16670124 a multiple of 294? False Is 1412297 a multiple of 4? False Does 2 divide 119612006? True Is 387 a factor of 41169897? False Is 195 a factor of 1145394315? True Does 233 divide 27299678? True Is 352092940 even? True Does 69 divide 2983974? True Is 45654769 a multiple of 163? False Is 199437160 a multiple of 65? True Does 6274 divide 8211617? False Is 12 a factor of 181872224? False Is 37 a factor of 317802102? True Does 1525 divide 20756775? True Is 70 a factor of 57760475? False Is 49858912 a multiple of 62? True Is 382785398 a multiple of 373? False Does 1709 divide 109085022? False Does 10 divide 9277297? False Is 2 a factor of 13497258? True Is 92 a factor of 44712938? False Does 28 divide 22522136? True Is 307 a factor of 12482620? True Does 256 divide 13927936? True Does 149 divide 88495123? True Is 1184801760 a multiple of 72? True Does 6827 divide 1076331166? True Does 2 divide 14872031? False Does 468 divide 56044872? True Is 378 a factor of 192561384? False Is 9704468 a multiple of 2974? False Is 141 a factor of 786025880? False Is 723380775 a multiple of 3? True Is 34 a factor of 234674664? True Does 21 divide 68727705? False Is 184582314 a multiple of 337? True Is 2639 a factor of 112025558? False Is 36147121 a multiple of 453? False Is 460967368 a multiple of 139? True Is 3491744307 a multiple of 26? False Is 422775682 a multiple of 554? True Does 20 divide 500180928? False Is 64 a factor of 22037193? False Is 219 a factor of 797576214? False Does 102 divide 175003542? True Is 7108071 a multiple of 3? True Is 400955045 a multiple of 4435? True Is 9121924 a multiple of 3592? False Is 64 a factor of 15281344? True Is 1420 a factor of 74943754? False Is 25 a factor of 35103875? True Is 33 a factor of 1554487110? True Does 1519 divide 438228462? True Does 315 divide 81504045? True Is 21 a factor of 2642495076? False Is 20 a factor of 166306240? True Is 796723620 a multiple of 462? True Is 29 a factor of 39475311? False Is 4367221541 a multiple of 8? False Does 31 divide 72238587? True Does 7 divide 351763949? False Is 13237989 a multiple of 72? False Does 41 divide 68070561? False Is 5491360 a multiple of 5? True Does 875 divide 22285466? False Is 4297872 a multiple of 10? False Is 4 a factor of 46579308? True Is 248 a fa
{ "pile_set_name": "DM Mathematics" }
8 - (2 + -7 - 6)? 3 Evaluate -4 - (0 - ((-1 - -4) + -1)). -2 Calculate 5 + (2 - (1 + -1)). 7 What is 1 + (3 + -4 - (2 - 0))? -2 1 + 0 + 18 + 0 + -11 8 What is -2 - (-2 - -1) - (-2 - -1)? 0 6 - (13 - (-4 + 4)) -7 -2 + 0 + -1 - (-1 - -2) -4 Evaluate (-6 - -2) + 3 + -3 - -6. 2 Evaluate 2 - (3 + -4 + -1 + 6). -2 What is 7 + -4 - (6 - 2)? -1 What is the value of -7 + -1 - (-24 - -21)? -5 Evaluate -4 + (-11 - (2 - 10)). -7 What is the value of 7 - (-1 - -5) - (8 + -1)? -4 Evaluate 3 + -3 + (-1 - 4) + 6. 1 What is -5 + (-2 - (0 - 1)) + 6? 0 -2 - 2 - (-2 - -3) -5 -1 + (3 - 4) - -5 3 Calculate -6 + (7 - (-3 + -3)). 7 What is 6 - (-7 + 4) - 4? 5 What is the value of -11 + 4 - (-6 - (-1 - 2))? -4 What is the value of (6 - -2) + (-3 - -1)? 6 Evaluate -15 - (12 - 34) - 7. 0 Evaluate 2 + (-3 - -1) - 0. 0 Evaluate 74 + -80 - (-6 + 1 + -2). 1 What is -1 + -2 + -1 + (-7 - -10)? -1 Evaluate -17 + 13 - 2 - -8. 2 -2 + 11 + -9 - -9 9 Calculate (-10 - -8) + 8 - 5. 1 What is the value of 22 - 14 - (-1 - -11)? -2 Evaluate -6 - (1 - (14 + -10)). -3 What is the value of -5 + -1 - (-12 + 10) - 0? -4 -2 - (4 - 7 - -9) - 0 -8 What is the value of -12 - (6 + -17) - (3 - -2)? -6 Evaluate -5 + (0 - 3 - -4). -4 What is 1 + -7 + (0 - -4)? -2 Evaluate -30 + 31 + 0 + 4. 5 Calculate -7 - -6 - (-1 + -1) - -2. 3 Calculate 1 + (-3 - -3) + 11 + -10. 2 What is -14 + 17 - (1 - -2)? 0 3 - (4 - (7 - 4 - -1)) 3 (3 - 2) + -5 + 0 -4 Calculate (4 - (3 + 2)) + 2. 1 What is 0 + (3 + -8 + 3 - -1)? -1 Calculate -8 + (15 - 12) - (-1 + 1). -5 What is (-9 - (-12 - -5)) + 3? 1 Calculate 6 + (-4 - -5) - 7. 0 What is the value of -8 + 0 + 12 + -2? 2 Calculate -1 - 0 - ((8 - 3) + -4). -2 What is 16 + (4 - 11) + 2 - 5? 6 0 + -5 - (2 + -8 - -5) -4 (-3 - 6 - -5) + 3 -1 What is 2 + (-1 - (-5 - -7))? -1 What is 2 - -1 - (1 + -1) - 0? 3 Evaluate -7 + 7 + (1 - 4). -3 What is the value of -5 - (10 + -8 - (9 + -1))? 1 Evaluate -3 - (-6 + 3 + 1 + 3). -4 Evaluate 7 + (-5 - 6 - 3). -7 What is the value of -4 + (-3 - (3 - 12))? 2 What is 6 + -12 + 0 + 4? -2 Calculate 1 + (-1 - 1) - (5 + -5). -1 -2 + (0 - -3) - (-11 - -17) -5 Calculate (42 - 42) + (-1 - (1 + -1)). -1 Evaluate -6 + (1 - 5) + 6. -4 Evaluate -3 + (5 + (-3 - 1) - 4). -6 What is -1 - ((-3 - -6) + -5 + -1)? 2 Calculate -10 - -11 - 5 - 5. -9 Calculate 12 + (-12 - 10) - -1. -9 Calculate -4 + (-7 - -6 - 0) + 11. 6 (6 - 0) + -7 - (1 - 8) 6 What is the value of -1 + -15 + 16 + (-2 - -1)? -1 What is the value of (3 - -6) + -8 + -5? -4 -3 + (-3 - -3) + 4 1 Evaluate -1 - -7 - (-40 + 47). -1 What is (-2 - 1 - 0) + -11 + 10? -4 What is -4 + (0 - -4) + 1? 1 What is 0 - (3 + (-4 - 6) + 8)? -1 What is the value of (-4 - (4 + -4)) + 6? 2 Calculate -4 + 3 - -5 - 9. -5 -6 - -2 - -5 - -2 3 Evaluate 0 - ((-1 - -3) + -13). 11 Calculate 6 - ((1 - 5) + 0). 10 What is the value of -12 + 19 + -10 + -3? -6 (11 + -5 - 12) + 1 -5 Calculate -13 + -13 + (0 - -16). -10 Calculate 3 + -4 + 2 + 2. 3 What is 0 + -6 + 3 - -7? 4 Calculate 39 + -29 - (4 + 1). 5 What is (1 - (5 + -4)) + 1? 1 Evaluate 10 + -2 + -8 + 4. 4 Evaluate (9 - 17) + 14 - 7. -1 Calculate 3 + (-7 - (-3 - (2 - 3))). -2 0 - (1 - 6 - -10) -5 Calculate 5 + 7 - 19 - -16. 9 Evaluate 5 + -5 + (1 - -4). 5 What is 7 + -10 + -5 + 8? 0 -2 + 2 - (-3 - (-4 + 0)) -1 Evaluate 7 + -5 + (-3 - -2). 1 -22 + 16 - -10 - (-1 + -1) 6 -1 + -2 - (-7 + 4 + 5) -5 What is 11 + 3 + (7 - 17)? 4 What is -8 - (0 + -4 - -5)? -9 What is (-3 + 1 + -1 - 0) + 1? -2 What is the value of 4 + (-4 - (2 + (-6 - -6)))? -2 Evaluate 6 + -7 + 6 + 5 + -4. 6 Calculate (5 - 1) + -6 + 6 + -3. 1 What is the value of 11 - 14 - 3 - -2? -4 -1 - -9 - (-17 + 24) 1 What is (0 - 0) + -36 + 39? 3 What is the value of 3 - 0 - (-88 - -86)? 5 What is -13 - -24 - (2 - -2)? 7 3 + -5 - (-6 + 2) 2 Calculate 3 + (4 - (2 + -1)) + -3. 3 What is the value of (-1 - -15 - (9 + -2)) + -2? 5 Calculate (-1 - (-6 - -2)) + 25 + -29. -1 What is the value of 21 - 23 - (1 + 2)? -5 Calculate 5 + 0 + (3 - 3 - -1). 6 Calculate (0 - -3) + -8 + 9 + -5. -1 Calculate 21 + -8 - (9 + -2). 6 Calculate (3 - 5) + -9 - -9. -2 What is the value of -5 + -1 - (6 + -13)? 1 What is the value of (0 - (0 - -2)) + 0 + 7? 5 -1 - (-1 + 0 - (-12 + 12)) 0 Evaluate 7 + (-6 + 10 - 5) - 9. -3 Calculate 7 + -1 - (7 + -2). 1 What is the value of -7 + -1 + -2 - (-61 + 60)? -9 What is the value of 12 + 0 + 37 + -23 + -15? 11 7 + (1 - 2 - 3) 3 What is the value of -8 + -9 + 15 + (0 - 2)? -4 (-8 - -6) + (-2 - (1 - 1)) -4 0 - (0 - -8) - -8 0 0 + 1 + -3 + (-2 - -4) 0 (14 - 3) + -1 - 7 3 Evaluate 1 + 1 + 5 - 5. 2 What is the value of -2 - (-6 - (9 + -6 - 9))? -2 What is 4 + -2 + (3 - (4 + 5))? -4 Calculate -16 + (1 - (2 - 15)). -2 -8 - ((4 - 2) + -14) 4 What is the value of -6 + (-1 - (-3 + -2 + 3))? -5 Calculate -5 + (-4 - (-12 - -4)) - -6. 5 What is 0 - (3 + 1 - 1)? -3 Calculate 16 - 15 - (-1 - -2 - 2). 2 What is the value of 3 - (7 - (-2 - 0)) - -4? -2 What is the value of -4 - (2 + 0 + -5)? -1 Calculate (-4 - (-4 - -4)) + 1. -3 (-12 - -10) + -2 + 0 + 5 1 What is -14 - -5 - (-6 + -6)? 3 What is -75 + 70 + (10 - (-1 + 2))? 4 What is (-3 - (-2 + 1)) + (-280 - -278)? -4 Evaluate -12 - ((-5 - 0 - 2) + 3). -8 What is (-2 - -2) + (19 - 8) + -5? 6 Evaluate -4 + (0 - (-6 + 7)). -5 What is 2 + 14 + (1 - 26)? -9 What is (-178 - -181) + -1 + -9? -7 What is (-2 - -9) + -3 - 7 - -1? -2 Evaluate 1 - (-6 + 3) - 3. 1 Calculate -3 + (-3 - (-13 - -4 - -3)). 0 Calculate -6 - (3 + 1 - (-4 - -12)). -2 10 - 8 - (-1 + 4) -1 15 - (3 + -4 + 12) 4 What is the value of -2 - 0 - (-12 + 12)? -2 Calculate (-1 - -2 - (-31 + 30)) + -2. 0 Calculate -2 + 3 - (4 + (5 - 5)). -3 7 - (20 + -2 + -8) -3 Evaluate -12 - (-9 - (13 + -18)). -8 What is (-7 - -14) + 1 + 0 - 7? 1 Calculate 4 + 1 - (-28 - -30). 3 Evaluate -1 + (0 - 3) - -2. -2 What is the value of (-4 - (-4 - -5 - 0)) + 3? -2 4 - (3 + -1 + 2) - 1 -1 What is the value of -7 - (2 + -6 - -1) - -1? -3 Calculate (1 - -1 - 1) + -4. -3 What is (-3 + -4 - -4 - -7) + -9? -5 Calculate (4 + (-6 - -4) - 2) + 5. 5 What is 5 - ((-2 - 2 - -3) + 4)? 2 Evaluate -12 + 10 + 8 + -1. 5 ((11 - -3) + -3 - 6) + -2 3 What is -3 + (3 - (2 + -3)) + 2? 3 Evaluate (-1 - (-3 + 2) - 0) + 2. 2 1 - (2 - (-9 + 12)) 2 Evaluate -4 + (-2 - 1 - -4). -3 Calculate (-3 - 5) + (5 - 1) + 0. -4 5 - (-1 + 14 + (4 - 7)) -5 What is (12 - 6) + -17 + 6? -5 What is the value of 0 - (10 + -10 + 6)? -6 Evaluate 0 + 3 - (-9 - -11) - 4. -3 Calculate (7 - 11) + 1 + 4. 1 (1 - -2) + (44 - 48) -1 8 - (-4 + (4 - -6)) 2 What is the value of (0 - 0) + (-10 - -14)? 4 What is the value of 3 + 2 - (-1 + 1) - 2? 3 What is the value of (-6 + 5 + -1 - 0) + -3? -5 What is -10 + 2 + (0 + -6 - -10)? -4 What is 16 + -8 - (4 - -2)? 2 What is -8 - (7 + -7 - 3)? -5 Evaluate -4 - (7 - 2 - 2 - 7). 0 (1 - 7 - -5) + -2 -3 0 - (-4 + 2 + 4) -2 Evaluate (9 - 18) + 4 - -5. 0 Calculate 5 + 2 + -1 + -3. 3 What is the value of -6 - (-13 + 2 + 0)? 5 Evaluate (4 - (2 - -4)) + -2. -4 What is 3 - (-4 + (-3 - -12) - -2)? -4 Calculate -4 - -4 - (-2 + 6). -4 Calculate 57 + -51 - (6 - -2). -2 Calculate 3 + 9 + -16 + 0 + 0. -4 What is (3 - 3) + (1 - -7 - 8)? 0 What is the value of -1 + (7 - 1) + (-3 - -4)? 6 4 + 3 + -3 + -1 3 Evaluate -6 + (-11 + 10 - -10). 3 -1 - 1 - (-3 - -4) -3 Evaluate -2 + 5 - (-6 + 5). 4 What is the value of -7 - ((6 - 18) + 6)? -1 (1 - 2) + 1 - (80 + -76) -4 (-9 + 18 - -5) + -7 7 What is the value of 3 + 1 + (-1 - 7)? -4 -2 + 1 + (-18 - -27) 8 What is -2 + (-5 - (2 - 5))? -4 What is the value of (4 - 1 - -7) + -7? 3 What is the value of -1 + (-8 - -3) - -2? -4 Calculate 13 + -9 - (2 + (2 - 0)). 0 What is (7 + -10 - (3 - 3)) + 6? 3 What is the value of -2 - ((2 - 6) + 1 + 1)? 0 Calculate 13 - (12 - (9 + -5)). 5 Evaluate -1 - (-6 - (4 + -7)). 2 What is the value of 10 + 4 + -8 + -13? -7 Evaluate (0 - -2) + 0 - (-102 - -96). 8 Evaluate 5 - 3 - (7 + -11). 6 Calculate 75 + -73 - (-1 + 1 + 1). 1 What is the value of -3 + (-16 + 7 - -8) - 2? -6 Evaluate 1 - (-5 + 3 - -4) - 3. -4 What is the value of -5 - (-2 + 14 - 6 - 11)? 0 What is 5 + 0 + -2 + (1 - 1)? 3 -1 + -4 + (-15 - -15) -5 (0 - 0) + -1 + 1 + -1 -1 What is 1 - 4 - (21 + -18) - -8? 2 What is 9 + (6 + -12 - 0) + 3? 6 Calculate -12 + 0 - -29 - 8. 9 What is 6 - (0 - -2 - (-1 - 2))? 1 Evaluate 1 + -2 + -1 + 2 + -3. -3 What is 5 +
{ "pile_set_name": "DM Mathematics" }