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tor of 0 + -1 - 2/50 and s. 25 Suppose 113*u - 1888 - 2180 = 0. Calculate the lowest common multiple of 552 and u. 1656 Let p = -4217 - -84401/20. Let a be 2/((-8)/(-30))*638/(-33). Let y = 575/4 + a. Calculate the common denominator of p and y. 20 Calculate the common denominator of 985/(-300) + -53 + 58 and 85/36. 180 Let o(m) = 6*m**2 - 31*m - 4. Let l be o(6). Suppose 94 = l*z - 62. Calculate the least common multiple of z and 16. 48 Let d = 2122 - 2102. What is the least common multiple of d and 1650? 3300 Suppose 0 = -3*y - 4*w + 64, -106*y + 5*w = -104*y - 35. Let i(l) = 4*l**3 - l**2 + 2*l - 1. Calculate the smallest common multiple of i(1) and y. 20 Let s be 2 - 2/(-8)*-1643. Let o = s - -432. Let v = 243267/2350 - 2568/25. What is the common denominator of v and o? 188 Suppose 131*h - 77*h + 91800 = 84*h. Calculate the lowest common multiple of h and 765. 3060 Let r = -74 - -77. Let k(t) = 3*t**3 + 7 - t**3 + 104*t - t**3 - 112*t. What is the smallest common multiple of k(r) and 2? 10 Suppose 55*u - 61*u - 468 = 0. Calculate the least common multiple of u/(-9) - 8/12 and 392. 392 Suppose 1225 + 1437 = 11*d. What is the lowest common multiple of 286 and d? 3146 Let t = -748 - -706. Let o = t - -58. Calculate the lowest common multiple of 44 and o. 176 Suppose -4*f + y - 29 = -36, 3*f = y + 5. What is the least common multiple of f and 27430? 27430 Let p(s) = -27*s - 85. Suppose 4*y - 2 + 10 = 0. What is the least common multiple of y*((-28)/4 - -2) and p(-4)? 230 Suppose -18*z + 23*z = -80. Let x(h) = -h**3 - 17*h**2 - 19*h - 46. Calculate the least common multiple of 10 and x(z). 10 What is the common denominator of ((-344)/32)/(4/(48/(-42))) and 35/61? 854 Suppose -y + 406 = -318. Calculate the lowest common multiple of 4/3*2 - (-11720)/879 and y. 2896 Let q(p) = -530*p + 4184. Calculate the least common multiple of 12 and q(7). 948 Let z = -20007/15064 - -260/807. What is the common denominator of 26/135 and z? 7560 Suppose -2*i - 308 = -9*i. Let x = i + -20. What is the smallest common multiple of x and 8? 24 Let w = -303835/1116 + 1089/4. Let a = w + 14797/2790. What is the common denominator of -125/48 and a? 240 Let y = 6/2717 - -268971/5434. Suppose 70 = 4*c + c. Calculate the common denominator of 25/5*(-1)/c and y. 14 Let p = 1266 - 2603/2. Let a = 3225 - 32357/10. Find the common denominator of a and p. 10 Suppose 32 - 30 = -2*i, 3*v = 5*i + 2303. What is the smallest common multiple of 12 and v? 4596 Let d = 82 - 80. Suppose 0 = 5*n - x - 2 - 10, 2*n - 8 = d*x. Calculate the smallest common multiple of 4 and n. 4 Suppose 2*r + o = 6*o + 10, 25 = 5*r + 2*o. Suppose 3*t - r*a = 86, 4*a = 5 + 3. What is the least common multiple of ((-13884)/8099)/(-1 - 26/(-28)) and t? 96 Let z(r) = -512*r + 3083. What is the least common multiple of z(6) and 1862? 20482 Let j(w) = 40*w**2 - 6*w + 8. Calculate the least common multiple of j(1) and 444. 3108 What is the least common multiple of (50/175)/(2/112) and 94? 752 Let w = 342 - 154. Let u = 238 - w. What is the lowest common multiple of u and 20? 100 Find the common denominator of (-209)/(-44) - (-8419)/(-1740) and -61/2436. 12180 Find the common denominator of 31/454 and (220/(-56) - (4 - 2)) + (29 - 23). 3178 Suppose -3256*p + 4050 = -3241*p. What is the least common multiple of 216 and p? 1080 Let f = -295/13 - -3031/78. What is the common denominator of f and -67/10? 30 Let b = -522243/3764 + -3/941. Let q = -4783/36 - b. Let r = 5203/3 - 1734. Calculate the common denominator of r and q. 9 Let v(l) = -l**3 - 20*l**2 + 2*l + 48. Suppose 12*k = -122 - 118. Calculate the lowest common multiple of 688 and v(k). 688 Let k(h) = h**3 - 9*h**2 + 10*h - 13. Let w be k(8). Suppose -w*x + 29 = -13. Calculate the lowest common multiple of x and 14. 14 Calculate the common denominator of -163/630 and (-19045)/(-1260) + -9 - (0 - -1 - -5). 1260 Let s = 358923/40 - 8976. Let d = 6092465091/968 - 6293874. Let g = -5/242 + d. Calculate the common denominator of g and s. 40 Let w be 1*3 + 513/((-27)/(-3)). Find the common denominator of 15/(-66)*117/w and 47/48. 528 Let t = -214 + 136. Let x = -77 - t. Calculate the smallest common multiple of 4/2*9/2 and x. 9 Let v = 22420 - 3362953/150. Find the common denominator of v and 89/330. 1650 Let h = -37583/4428 + 595/82. Find the common denominator of h and -151/24. 216 Find the common denominator of ((-2)/(24/60))/9 and (190/(-15))/((-22)/(-4)). 99 Let i(l) = 3*l + 67. Calculate the least common multiple of i(-13) and 203. 812 Let o be ((-1)/(-3))/(3/(-63)). Suppose -i = -2*s - 2*s + 32, 3*i = -4*s + 48. What is the smallest common multiple of s and -4*6/168 + (-50)/o? 63 Suppose 5*u + 3*m - 32 = 0, 0 = -5*u - 4*m + 9 + 27. Suppose 3*k + 2 - 13 = h, 0 = u*k - 4*h - 28. Calculate the lowest common multiple of 58 and k. 58 Suppose -17*h - 48461 = -40*h. Let t(w) = 2*w - 6. What is the lowest common multiple of t(4) and 2/17 - h/(-731)? 6 Suppose -4*h + 3*a + 76 = -0*a, -a = h - 12. Let g = h + -10. Suppose 0 = -14*n + 849 - 457. What is the least common multiple of n and g? 84 Let g(k) = 3*k - 85. Let w be g(29). Let z(j) = j**2 - 40 - 2*j + j + 0*j**w. Calculate the smallest common multiple of z(-7) and 14. 112 Let f = -2/12565 + -1243903/201040. Let q = -123107/16 - -7697. What is the common denominator of q and f? 16 Find the common denominator of 23/11 and (-56470)/5500 - -9 - (-78)/65. 550 What is the lowest common multiple of 52/(676/715) - (-1 - 2*-1) and 207? 1242 Suppose -5*a - 9 - 46 = -4*u, -3*u = -5*a - 35. Let k(l) = -l**3 + 49*l**2 - 45*l - 132. What is the least common multiple of u and k(48)? 60 Let f be 7/14*(7 + -1). Suppose -d + 10 = f*h + h, -5*d = 10. Let z = 5 + h. Calculate the least common multiple of 9 and z. 72 Suppose 0 = 4*r + 4 - 28. Suppose 6*v - r = 3*v. Suppose -v*k + 6 = -14. What is the smallest common multiple of k and 9? 90 Let o be (12/10)/((64/40)/(-4)). What is the common denominator of 124/(-40)*o/(-12) and -67/24? 120 Suppose s + 15 - 79 = 0. What is the smallest common multiple of ((455/(-39))/35)/((-2)/60) and s? 320 Let k(n) = 10*n**2 - 6*n + 8. Let u be k(2). Let t = u - 31. What is the smallest common multiple of t and 15? 15 Let k = -704 + 1013. Suppose -4*u - u + 297 = 4*g, 0 = -4*g - u + k. Calculate the smallest common multiple of g and 48. 624 Let m(y) = -8*y + 3. Let w be 4/3 + 714444/123840. Let j = 5/2064 - w. Find the common denominator of m(-4) and j. 10 Suppose 0 = 17*s - 2714 - 4766. Calculate the lowest common multiple of 176 and s. 880 Let z = -3747/7 - -2147/4. Find the common denominator of z and 404/42*-8*399/(-5472). 252 Let x(m) = 537*m + 6435. What is the least common multiple of 558 and x(-8)? 12834 Let o(j) = -51*j + 97. Let s be o(3). Calculate the common denominator of s/100*(-64)/56 and 38/35. 175 Let c = -40 + 70. Suppose -4*m - 7 = -4*v - 19, -4*m + 12 = v. Suppose 0*b - 4*b - 21 = -t, 0 = -t - m*b. What is the smallest common multiple of t and c? 90 Let m = 4706 - 4701. What is the least common multiple of m and 1501? 7505 Let i(h) = -234*h - 3906. Calculate the least common multiple of 120 and i(-19). 1080 Suppose 14*j + 939 + 69 = 0. Calculate the common denominator of (j/(-10) - -2)/((-55)/25) and 22/21. 231 Let g(d) = -d - 28. Let h be g(32). What is the common denominator of -93/44 and ((-134)/(-72))/(h/(-180))? 132 Let t(g) = 5*g**3 - 4*g**2 + 2*g + 2. Let i = 47 + -58. Let u(q) = -q**3 - 9*q**2 + 22*q + 2. Let h be u(i). Calculate the least common multiple of 3 and t(h). 30 Find the common denominator of -83/48 and (((-52)/(-390))/1)/((-272)/1270). 816 Let p = 48 - 78. Let a = -15309/8 + 1915. What is the common denominator of a and p? 8 Let r(n) = n**3 + 12 + 10*n - 5*n**2 + 0*n - 2*n**3 + 18*n**2. Let b be r(14). Let v = b + 70. What is the smallest common multiple of 7 and v? 182 Let x = -6091/17 + 1302165/3638. What is the common denominator of x and 3/107? 214 Let k = 43043734/173 + -248806. Let w = -31105/3114 + k. Calculate the common denominator of 2751/72*62/(-217) and w. 36 Let y = 672984139/23313 - 86602/3. Let c = y - 27395/62168. Calculate the common denominator of c and 13/4. 152 Let s be ((-58)/(-48))/(9/38133). Let g = s + -5114. Find the common denom
{ "pile_set_name": "DM Mathematics" }
is the greatest common factor of 2342484 and 12? 12 What is the highest common factor of 78072 and 72? 24 What is the highest common divisor of 738885 and 2604? 651 What is the highest common factor of 726 and 2679424? 242 Calculate the greatest common divisor of 3107 and 35269. 13 Calculate the greatest common divisor of 461376 and 234. 18 Calculate the highest common factor of 178143 and 1785. 357 What is the greatest common factor of 123 and 21? 3 Calculate the highest common divisor of 48 and 1030. 2 Calculate the greatest common factor of 21 and 3728214. 21 What is the greatest common factor of 1560 and 2026830? 390 What is the greatest common divisor of 4118 and 6? 2 Calculate the highest common factor of 6941 and 1166. 11 What is the highest common divisor of 118 and 38? 2 Calculate the greatest common divisor of 469805 and 16275. 1085 Calculate the greatest common factor of 686 and 10731. 49 Calculate the highest common divisor of 8026 and 16. 2 What is the greatest common divisor of 963778 and 1962? 218 What is the greatest common divisor of 392 and 270256? 56 Calculate the highest common divisor of 69788 and 876. 292 Calculate the highest common factor of 8 and 3369912. 8 What is the highest common divisor of 3850 and 166705? 385 What is the greatest common factor of 269412 and 9438? 858 What is the highest common factor of 385614 and 74? 74 Calculate the greatest common divisor of 182 and 80548. 26 What is the highest common divisor of 1816 and 10416? 8 Calculate the highest common divisor of 3065 and 15. 5 What is the highest common divisor of 105 and 1435? 35 Calculate the greatest common factor of 173 and 3810671. 173 What is the greatest common divisor of 108 and 3628? 4 Calculate the highest common divisor of 18774 and 168. 42 Calculate the greatest common divisor of 96 and 118644. 12 Calculate the highest common divisor of 889 and 11684. 127 What is the highest common divisor of 728444 and 4? 4 What is the greatest common factor of 184 and 246? 2 Calculate the greatest common factor of 22158 and 2826. 18 Calculate the greatest common divisor of 462 and 28754. 22 Calculate the greatest common divisor of 14 and 978026. 14 What is the greatest common divisor of 2648574 and 2152? 538 Calculate the greatest common factor of 15293 and 2542. 41 What is the highest common factor of 18 and 651177? 9 What is the highest common divisor of 1007 and 49? 1 Calculate the greatest common divisor of 744 and 1536825. 93 Calculate the highest common factor of 1598 and 23834. 34 What is the highest common divisor of 54 and 777141? 27 Calculate the greatest common divisor of 228 and 3004. 4 What is the greatest common divisor of 347 and 105488? 347 What is the highest common factor of 172 and 1387954? 86 Calculate the highest common factor of 62001 and 36. 9 What is the highest common divisor of 106400 and 50? 50 What is the highest common factor of 45356 and 2448? 68 Calculate the greatest common factor of 566016 and 480. 96 What is the greatest common divisor of 1089 and 1145991? 363 What is the greatest common factor of 279488 and 3520? 704 What is the greatest common factor of 1655 and 3? 1 Calculate the greatest common factor of 9834 and 110. 22 What is the highest common factor of 6927 and 3? 3 Calculate the greatest common factor of 64 and 8530656. 32 What is the highest common divisor of 421214 and 470? 94 Calculate the highest common factor of 329 and 93086. 7 Calculate the greatest common factor of 2209 and 1363. 47 What is the greatest common divisor of 143439 and 1047? 1047 Calculate the greatest common divisor of 21689 and 4232. 529 What is the highest common divisor of 55 and 64955? 55 Calculate the highest common factor of 25909 and 26. 13 Calculate the highest common factor of 369 and 87576. 123 What is the highest common divisor of 616 and 753445? 77 What is the highest common factor of 292 and 548? 4 What is the greatest common factor of 31206 and 42? 42 What is the greatest common factor of 5038 and 814? 22 Calculate the highest common factor of 4952 and 56. 8 Calculate the greatest common factor of 1254 and 263241. 33 What is the greatest common divisor of 116667 and 81? 27 Calculate the highest common factor of 311898 and 9847. 229 What is the greatest common factor of 92 and 22586? 46 What is the highest common factor of 1447 and 34? 1 Calculate the highest common divisor of 131224 and 87608. 376 What is the highest common divisor of 386 and 280622? 386 Calculate the greatest common factor of 11994813 and 9. 9 Calculate the highest common divisor of 12 and 628329. 3 What is the greatest common factor of 27 and 2281167? 9 Calculate the highest common factor of 671 and 341051. 61 Calculate the greatest common divisor of 220500 and 1008. 252 Calculate the greatest common factor of 2698 and 2. 2 Calculate the highest common factor of 5364 and 323181. 1341 What is the highest common factor of 15 and 2891985? 15 Calculate the highest common factor of 505064 and 232. 232 What is the greatest common divisor of 35542 and 338? 26 Calculate the highest common divisor of 1704231 and 897. 69 What is the highest common divisor of 221 and 70108? 17 What is the greatest common divisor of 282 and 240546? 282 What is the greatest common divisor of 10 and 234970? 10 Calculate the highest common divisor of 5317 and 1222. 13 Calculate the greatest common factor of 45968 and 272. 272 Calculate the highest common factor of 445300 and 25. 25 What is the highest common factor of 96 and 44592? 48 What is the highest common divisor of 24280 and 16? 8 What is the highest common divisor of 635064 and 28150? 1126 What is the greatest common factor of 937765 and 5476? 1369 Calculate the greatest common divisor of 14720 and 76480. 320 What is the highest common factor of 52 and 309712? 52 What is the greatest common divisor of 915 and 4065? 15 What is the greatest common factor of 440 and 378680? 40 What is the greatest common factor of 15106 and 546? 182 Calculate the greatest common divisor of 3063239 and 401. 401 Calculate the highest common factor of 48 and 13892280. 24 What is the highest common factor of 183268 and 4? 4 What is the highest common factor of 11407295 and 5210? 2605 Calculate the highest common factor of 430294 and 122. 122 Calculate the greatest common factor of 56 and 29128. 8 What is the greatest common divisor of 69 and 45218? 23 Calculate the greatest common divisor of 2359049 and 77. 77 Calculate the greatest common factor of 497160 and 405. 45 What is the greatest common divisor of 57350 and 930? 310 What is the greatest common divisor of 528 and 33440? 176 What is the highest common factor of 3663 and 116217? 333 What is the greatest common factor of 225847 and 503? 503 Calculate the highest common factor of 646625 and 5912. 739 What is the greatest common divisor of 340 and 1056397? 17 What is the greatest common divisor of 4832 and 8758? 302 What is the highest common divisor of 574 and 1189? 41 Calculate the highest common factor of 780 and 602355. 195 Calculate the greatest common factor of 136824 and 1128. 24 Calculate the highest common divisor of 122 and 91134. 122 Calculate the greatest common divisor of 4747 and 29516. 47 What is the highest common factor of 140624 and 704? 176 Calculate the highest common divisor of 79478 and 392. 98 What is the greatest common factor of 1000 and 15125? 125 What is the highest common factor of 6096 and 663448? 1016 Calculate the highest common divisor of 544 and 1568. 32 What is the highest common divisor of 25 and 10975? 25 Calculate the highest common factor of 4174687 and 22. 11 What is the greatest common factor of 29798 and 23594? 94 What is the highest common factor of 97699 and 595? 119 Calculate the highest common factor of 7755 and 138180. 705 Calculate the greatest common divisor of 239183 and 7997. 727 Calculate the greatest common divisor of 162576 and 36. 36 Calculate the highest common divisor of 2718 and 144. 18 What is the greatest common divisor of 3030 and 50295? 15 What is the highest common factor of 1272 and 744? 24 What is the greatest common divisor of 81 and 47? 1 What is the greatest common divisor of 1677320 and 760? 760 Calculate the greatest common fact
{ "pile_set_name": "DM Mathematics" }
m jnnjrjcj. What is prob of sequence jc? 1/14 Calculate prob of sequence bobb when four letters picked without replacement from hblbbolxlhphbh. 1/1001 Calculate prob of sequence xfdf when four letters picked without replacement from dxdwxxxxffrdxwxdf. 1/340 Two letters picked without replacement from {y: 3, d: 4, j: 13}. Give prob of sequence jj. 39/95 Two letters picked without replacement from qzzltjjc. Give prob of sequence lq. 1/56 Two letters picked without replacement from {u: 9, l: 3}. What is prob of sequence uu? 6/11 Calculate prob of sequence qaqa when four letters picked without replacement from qqaaaqaaaaaaaaaaqqaa. 35/969 Three letters picked without replacement from {d: 3, b: 1, y: 6, a: 3, e: 4, j: 1}. Give prob of sequence bda. 1/544 Three letters picked without replacement from ppnppppapppnpa. Give prob of sequence app. 15/182 Two letters picked without replacement from {i: 1, s: 2}. What is prob of sequence ss? 1/3 Three letters picked without replacement from gvfvffgfvffvf. What is prob of sequence gvf? 14/429 What is prob of sequence dg when two letters picked without replacement from {k: 7, d: 3, g: 2}? 1/22 Four letters picked without replacement from {s: 2, v: 1, b: 4, g: 1}. Give prob of sequence bssg. 1/210 Three letters picked without replacement from cccccc. Give prob of sequence ccc. 1 Two letters picked without replacement from {b: 1, i: 1, p: 1}. What is prob of sequence pi? 1/6 What is prob of sequence wowo when four letters picked without replacement from {o: 2, w: 8}? 1/45 What is prob of sequence hhfy when four letters picked without replacement from {f: 2, w: 1, y: 4, h: 2}? 1/189 Four letters picked without replacement from mmwwowomwow. What is prob of sequence wwwo? 1/44 Calculate prob of sequence fj when two letters picked without replacement from {j: 2, r: 2, f: 1}. 1/10 Three letters picked without replacement from llpl. What is prob of sequence llp? 1/4 Three letters picked without replacement from enrnj. Give prob of sequence enr. 1/30 Two letters picked without replacement from ioxiddwdxx. Give prob of sequence xd. 1/10 Calculate prob of sequence ayk when three letters picked without replacement from aaaakykoaccakokayc. 7/612 Two letters picked without replacement from qjwgjgggggggggjjgjg. What is prob of sequence qq? 0 Three letters picked without replacement from {d: 4, l: 1, k: 2, u: 1}. Give prob of sequence ddl. 1/28 Calculate prob of sequence zs when two letters picked without replacement from {s: 1, o: 4, q: 6, h: 3, z: 2, p: 2}. 1/153 Two letters picked without replacement from {f: 2, r: 6, p: 1, s: 7, k: 1}. What is prob of sequence rp? 3/136 Calculate prob of sequence cnmv when four letters picked without replacement from {s: 2, m: 2, w: 1, v: 1, n: 2, c: 4}. 2/1485 Two letters picked without replacement from bdbcihicdbcdiccihdh. What is prob of sequence ic? 10/171 Calculate prob of sequence mhh when three letters picked without replacement from {b: 5, r: 1, m: 1, h: 3}. 1/120 Three letters picked without replacement from {e: 3, t: 1, d: 1, q: 5}. Give prob of sequence deq. 1/48 Calculate prob of sequence mm when two letters picked without replacement from {m: 6, b: 3, j: 6}. 1/7 What is prob of sequence us when two letters picked without replacement from ukrppksb? 1/56 Calculate prob of sequence vc when two letters picked without replacement from {v: 1, a: 1, o: 1, c: 1, b: 1}. 1/20 Four letters picked without replacement from {n: 3, m: 4, p: 9, z: 4}. What is prob of sequence znmp? 6/1615 Four letters picked without replacement from {t: 1, e: 5, x: 3, n: 3, u: 2, y: 1}. What is prob of sequence ttux? 0 Calculate prob of sequence blml when four letters picked without replacement from {l: 2, m: 1, g: 9, b: 7}. 7/46512 Four letters picked without replacement from ffxxxxx. Give prob of sequence fxxf. 1/21 What is prob of sequence ib when two letters picked without replacement from {h: 12, r: 2, b: 2, y: 1, i: 2}? 2/171 What is prob of sequence gzoq when four letters picked without replacement from {h: 1, g: 6, o: 8, z: 1, q: 2}? 1/765 What is prob of sequence hd when two letters picked without replacement from skhwddhw? 1/14 Calculate prob of sequence kkww when four letters picked without replacement from {w: 4, q: 1, k: 2}. 1/35 Three letters picked without replacement from {i: 2, x: 3}. Give prob of sequence xxx. 1/10 Calculate prob of sequence bjbb when four letters picked without replacement from bjbbjb. 2/15 Two letters picked without replacement from bgggggbgggggg. Give prob of sequence bb. 1/78 What is prob of sequence af when two letters picked without replacement from xyggfyfgaffgffx? 1/35 Three letters picked without replacement from {u: 3, v: 2, n: 12}. Give prob of sequence nnn. 11/34 Three letters picked without replacement from qqqrqbqbqqzzqqzzqqbq. What is prob of sequence zbq? 2/95 Four letters picked without replacement from iiiiiiiiiiiiiikiii. Give prob of sequence ikkk. 0 Four letters picked without replacement from {k: 4, w: 1, q: 1, o: 6, d: 6}. What is prob of sequence kkqw? 1/6120 Four letters picked without replacement from {t: 1, c: 1, o: 4, l: 1, j: 7, r: 4}. What is prob of sequence octo? 1/6120 What is prob of sequence xxnw when four letters picked without replacement from {b: 2, n: 1, r: 1, w: 2, x: 1, z: 1}? 0 Calculate prob of sequence iii when three letters picked without replacement from {f: 8, i: 4, b: 1}. 2/143 What is prob of sequence ele when three letters picked without replacement from ooeeollooooo? 1/330 Four letters picked without replacement from {r: 3, i: 8}. Give prob of sequence riri. 7/165 What is prob of sequence ubbj when four letters picked without replacement from uuujuuuuuuuubuubb? 13/9520 What is prob of sequence ovvv when four letters picked without replacement from vivtvoi? 1/140 Two letters picked without replacement from ggtgxxgxzggzzjx. Give prob of sequence zg. 3/35 Four letters picked without replacement from {h: 1, g: 11, e: 5}. What is prob of sequence gggg? 33/238 What is prob of sequence oo when two letters picked without replacement from {o: 12, h: 6}? 22/51 What is prob of sequence zzf when three letters picked without replacement from {m: 1, c: 2, w: 2, f: 2, q: 3, z: 2}? 1/330 Calculate prob of sequence pn when two letters picked without replacement from ppnnnpnpnpnpppnnnpn. 5/19 Two letters picked without replacement from {z: 8, j: 2, o: 2}. Give prob of sequence jz. 4/33 What is prob of sequence pw when two letters picked without replacement from jwapp? 1/10 Four letters picked without replacement from heiihgeiefeefoiighi. What is prob of sequence ohfi? 1/2584 What is prob of sequence pn when two letters picked without replacement from {a: 2, p: 1, u: 1, n: 1}? 1/20 Four letters picked without replacement from ookkookokokok. What is prob of sequence oooo? 7/143 What is prob of sequence fi when two letters picked without replacement from {i: 2, f: 2}? 1/3 Three letters picked without replacement from bvoyp. Give prob of sequence yyb. 0 Three letters picked without replacement from {h: 4, c: 1, l: 6}. Give prob of sequence llc. 1/33 Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkkkkikkkiik. 11/28 Calculate prob of sequence tjt when three letters picked without replacement from jjjjjjjjjjttj. 1/78 Three letters picked without replacement from gdxmdxdddxdgxddmxxd. What is prob of sequence dxd? 24/323 Calculate prob of sequence xxtk when four letters picked without replacement from xxktt. 1/30 What is prob of sequence whl when three letters picked without replacement from hwll? 1/12 Three letters picked without replacement from {f: 5, c: 3, n: 8}. Give prob of sequence nnf. 1/12 Four letters picked without replacement from {y: 3, z: 4}. What is prob of sequence yyzy? 1/35 What is prob of sequence cmmc when four letters picked without replacement from {c: 9, m: 7}? 9/130 What is prob of sequence fvt when three letters picked without replacement from tvvtttf? 4/105 What is prob of sequence tzz when three letters picked without replacement from oznffttnfnfzzznffm? 1/204 What is prob of sequence mu when two letters picked without replacement from {u: 1, w: 2, s: 1, g: 2, m: 2}? 1/28 What i
{ "pile_set_name": "DM Mathematics" }
divided by 105. 52 Calculate the remainder when 153 is divided by 47. 12 Calculate the remainder when 714 is divided by 72. 66 What is the remainder when 992 is divided by 988? 4 Calculate the remainder when 1013 is divided by 85. 78 What is the remainder when 687 is divided by 285? 117 Calculate the remainder when 113 is divided by 18. 5 What is the remainder when 926 is divided by 18? 8 What is the remainder when 7748 is divided by 51? 47 Calculate the remainder when 225 is divided by 38. 35 What is the remainder when 635 is divided by 11? 8 Calculate the remainder when 328 is divided by 15. 13 Calculate the remainder when 311 is divided by 63. 59 What is the remainder when 287 is divided by 58? 55 Calculate the remainder when 245 is divided by 82. 81 Calculate the remainder when 327 is divided by 55. 52 What is the remainder when 213 is divided by 27? 24 What is the remainder when 125 is divided by 51? 23 What is the remainder when 573 is divided by 24? 21 What is the remainder when 417 is divided by 11? 10 Calculate the remainder when 532 is divided by 38. 0 What is the remainder when 223 is divided by 56? 55 Calculate the remainder when 114 is divided by 30. 24 What is the remainder when 424 is divided by 94? 48 What is the remainder when 357 is divided by 34? 17 Calculate the remainder when 111 is divided by 20. 11 What is the remainder when 60 is divided by 5? 0 What is the remainder when 2123 is divided by 19? 14 Calculate the remainder when 31 is divided by 27. 4 What is the remainder when 586 is divided by 7? 5 What is the remainder when 120 is divided by 22? 10 What is the remainder when 75 is divided by 11? 9 What is the remainder when 1502 is divided by 1485? 17 Calculate the remainder when 1366 is divided by 37. 34 Calculate the remainder when 470 is divided by 43. 40 Calculate the remainder when 104 is divided by 88. 16 What is the remainder when 5129 is divided by 4? 1 Calculate the remainder when 2173 is divided by 128. 125 Calculate the remainder when 3532 is divided by 7. 4 Calculate the remainder when 2536 is divided by 507. 1 What is the remainder when 42 is divided by 9? 6 What is the remainder when 152 is divided by 29? 7 Calculate the remainder when 141 is divided by 76. 65 What is the remainder when 6061 is divided by 14? 13 What is the remainder when 224 is divided by 88? 48 What is the remainder when 250 is divided by 17? 12 What is the remainder when 2341 is divided by 71? 69 Calculate the remainder when 92 is divided by 20. 12 Calculate the remainder when 4193 is divided by 28. 21 Calculate the remainder when 1548 is divided by 260. 248 Calculate the remainder when 669 is divided by 56. 53 What is the remainder when 32 is divided by 6? 2 What is the remainder when 399 is divided by 20? 19 Calculate the remainder when 13 is divided by 2. 1 What is the remainder when 475 is divided by 80? 75 What is the remainder when 52 is divided by 11? 8 Calculate the remainder when 154 is divided by 37. 6 Calculate the remainder when 1241 is divided by 37. 20 What is the remainder when 4571 is divided by 52? 47 Calculate the remainder when 275 is divided by 45. 5 What is the remainder when 11302 is divided by 19? 16 What is the remainder when 2121 is divided by 57? 12 Calculate the remainder when 576 is divided by 17. 15 What is the remainder when 215 is divided by 7? 5 Calculate the remainder when 3612 is divided by 18. 12 Calculate the remainder when 201 is divided by 12. 9 Calculate the remainder when 241 is divided by 14. 3 Calculate the remainder when 430 is divided by 206. 18 Calculate the remainder when 5909 is divided by 8. 5 What is the remainder when 118 is divided by 31? 25 Calculate the remainder when 1177 is divided by 33. 22 What is the remainder when 1381 is divided by 29? 18 Calculate the remainder when 968 is divided by 20. 8 What is the remainder when 765 is divided by 232? 69 What is the remainder when 527 is divided by 67? 58 Calculate the remainder when 363 is divided by 98. 69 Calculate the remainder when 524 is divided by 44. 40 Calculate the remainder when 390 is divided by 33. 27 What is the remainder when 94 is divided by 50? 44 What is the remainder when 408 is divided by 109? 81 Calculate the remainder when 164 is divided by 99. 65 What is the remainder when 7339 is divided by 38? 5 What is the remainder when 20 is divided by 10? 0 What is the remainder when 692 is divided by 136? 12 Calculate the remainder when 213 is divided by 55. 48 Calculate the remainder when 339 is divided by 168. 3 Calculate the remainder when 2521 is divided by 12. 1 Calculate the remainder when 118 is divided by 34. 16 What is the remainder when 278 is divided by 14? 12 What is the remainder when 147 is divided by 4? 3 Calculate the remainder when 100 is divided by 34. 32 What is the remainder when 482 is divided by 9? 5 What is the remainder when 106 is divided by 56? 50 Calculate the remainder when 900 is divided by 17. 16 What is the remainder when 296 is divided by 61? 52 Calculate the remainder when 2233 is divided by 43. 40 What is the remainder when 322 is divided by 148? 26 What is the remainder when 442 is divided by 149? 144 Calculate the remainder when 206 is divided by 30. 26 Calculate the remainder when 223 is divided by 56. 55 Calculate the remainder when 314 is divided by 63. 62 What is the remainder when 88 is divided by 44? 0 Calculate the remainder when 274 is divided by 99. 76 Calculate the remainder when 22570 is divided by 12. 10 Calculate the remainder when 115495 is divided by 123. 121 What is the remainder when 856 is divided by 8? 0 Calculate the remainder when 37 is divided by 19. 18 What is the remainder when 57 is divided by 4? 1 Calculate the remainder when 149 is divided by 39. 32 Calculate the remainder when 6062 is divided by 50. 12 Calculate the remainder when 310 is divided by 198. 112 Calculate the remainder when 1563 is divided by 222. 9 Calculate the remainder when 1299 is divided by 25. 24 Calculate the remainder when 180 is divided by 61. 58 Calculate the remainder when 97 is divided by 7. 6 Calculate the remainder when 131 is divided by 113. 18 Calculate the remainder when 1726 is divided by 859. 8 Calculate the remainder when 46 is divided by 45. 1 What is the remainder when 125 is divided by 59? 7 What is the remainder when 476 is divided by 29? 12 What is the remainder when 13610 is divided by 39? 38 Calculate the remainder when 68 is divided by 36. 32 What is the remainder when 35374 is divided by 16? 14 Calculate the remainder when 654 is divided by 138. 102 Calculate the remainder when 85 is divided by 5. 0 Calculate the remainder when 1987 is divided by 151. 24 Calculate the remainder when 281 is divided by 27. 11 What is the remainder when 1262 is divided by 16? 14 What is the remainder when 88 is divided by 49? 39 What is the remainder when 564 is divided by 184? 12 What is the remainder when 1263 is divided by 620? 23 What is the remainder when 171 is divided by 18? 9 Calculate the remainder when 118 is divided by 32. 22 What is the remainder when 172 is divided by 3? 1 What is the remainder when 1655 is divided by 166? 161 What is the remainder when 6843 is divided by 163? 160 Calculate the remainder when 168 is divided by 29. 23 Calculate the remainder when 61999 is divided by 124. 123 Calculate the remainder when 54 is divided by 20. 14 Calculate the remainder when 93 is divided by 26. 15 Calculate the remainder when 1492 is divided by 28. 8 What is the remainder when 1491 is divided by 406? 273 What is the remainder when 95 is divided by 24? 23 Calculate the remainder when 1190 is divided by 48. 38 Calculate the remainder when 168 is divided by 93. 75 Calculate the remainder when 286 is divided by 45. 16 What is the remainder when 1504 is divided by 63? 55 What is the remainder when 94 is divided by 49? 45 Calculate the remainder when 2569 is divided by 39. 34 Calculate the remainder when 434 is divided by 113. 95 Calculate the remainder when 743 is divided by 366. 11 Calculate the remainder when 380 is divided by 122. 14 Calculate the remainder when 501 is divided by 31. 5 Calculate the remainder when 119 is divided by 24. 23 What is the remainder when 6692 is divide
{ "pile_set_name": "DM Mathematics" }
placement from {l: 2, i: 1, x: 2, p: 1, s: 2, t: 1}. 1/126 Three letters picked without replacement from {q: 3, n: 11, s: 2, m: 1, v: 2}. What is prob of sequence nqs? 11/969 Calculate prob of sequence ooqr when four letters picked without replacement from {q: 8, o: 4, r: 1}. 4/715 What is prob of sequence fb when two letters picked without replacement from {k: 2, f: 2, b: 2, d: 2}? 1/14 Three letters picked without replacement from {h: 6, p: 4, x: 2}. Give prob of sequence xpp. 1/55 Calculate prob of sequence zbz when three letters picked without replacement from rrzzbrrrrbvrr. 1/429 Three letters picked without replacement from {h: 2, w: 3}. Give prob of sequence hhw. 1/10 Four letters picked without replacement from ggggggggggxgxx. What is prob of sequence xgxx? 1/364 Calculate prob of sequence kchc when four letters picked without replacement from {j: 1, c: 2, a: 2, k: 1, h: 2}. 1/420 Two letters picked without replacement from {u: 2, c: 2, s: 6, g: 1}. Give prob of sequence sc. 6/55 Calculate prob of sequence qhq when three letters picked without replacement from qpqhppphppppqhphqpp. 8/969 What is prob of sequence qrw when three letters picked without replacement from aqqamwr? 1/105 Two letters picked without replacement from fffeffffffffeeffef. What is prob of sequence ef? 28/153 What is prob of sequence zlzs when four letters picked without replacement from splspsszlpszlsslslsz? 3/1292 What is prob of sequence tt when two letters picked without replacement from twwltwtlwwwwtwwjw? 3/68 Three letters picked without replacement from nrrrrrrnrrnnnrrr. Give prob of sequence rnr. 55/336 What is prob of sequence sama when four letters picked without replacement from ssmamanssmsanmassms? 5/969 Four letters picked without replacement from {n: 1, y: 3, r: 2, w: 1}. Give prob of sequence yryn. 1/70 Three letters picked without replacement from {f: 1, j: 1, m: 2, n: 1, k: 2, i: 1}. What is prob of sequence kkf? 1/168 What is prob of sequence ay when two letters picked without replacement from oaglygi? 1/42 What is prob of sequence wwss when four letters picked without replacement from wwwsssw? 3/35 Three letters picked without replacement from {k: 8, p: 8, x: 1}. Give prob of sequence ppp. 7/85 What is prob of sequence jmc when three letters picked without replacement from {r: 1, c: 1, j: 1, s: 4, f: 1, m: 5}? 5/1716 What is prob of sequence rn when two letters picked without replacement from mrvnm? 1/20 Calculate prob of sequence un when two letters picked without replacement from {u: 16, n: 4}. 16/95 What is prob of sequence uoo when three letters picked without replacement from {l: 1, o: 6, u: 1, i: 1}? 5/84 Calculate prob of sequence yvy when three letters picked without replacement from tvvvytvtvtyttvvvv. 3/680 Calculate prob of sequence cu when two letters picked without replacement from {u: 7, c: 1, y: 3, i: 1}. 7/132 Four letters picked without replacement from rhhhrrrr. Give prob of sequence hhrh. 1/56 Two letters picked without replacement from {m: 4, f: 8, d: 8}. What is prob of sequence ff? 14/95 Calculate prob of sequence iqi when three letters picked without replacement from {q: 7, i: 4, m: 3}. 1/26 Calculate prob of sequence kk when two letters picked without replacement from {k: 3, v: 15}. 1/51 Calculate prob of sequence euee when four letters picked without replacement from ewllewluewe. 1/330 Calculate prob of sequence tt when two letters picked without replacement from {d: 2, t: 2}. 1/6 Two letters picked without replacement from {u: 8, l: 3}. What is prob of sequence lu? 12/55 Calculate prob of sequence mpmm when four letters picked without replacement from {p: 1, m: 18}. 1/19 Two letters picked without replacement from zkhzkkzzzzzzkrh. Give prob of sequence kz. 16/105 Four letters picked without replacement from kvkkevkkvzkz. Give prob of sequence vzve. 1/990 Two letters picked without replacement from {h: 12, a: 3, j: 1, s: 4}. Give prob of sequence jh. 3/95 What is prob of sequence gg when two letters picked without replacement from {g: 2, l: 7, u: 2, f: 4, n: 3}? 1/153 Two letters picked without replacement from {v: 2, y: 2, s: 10, m: 1, h: 2, p: 2}. Give prob of sequence ss. 5/19 Calculate prob of sequence sr when two letters picked without replacement from {r: 2, i: 1, s: 5, e: 1}. 5/36 Calculate prob of sequence jj when two letters picked without replacement from {q: 3, j: 3, n: 7}. 1/26 Four letters picked without replacement from iriirigriirirriihii. Give prob of sequence ihri. 55/7752 Two letters picked without replacement from {e: 6, h: 1, t: 2, b: 3, c: 1}. What is prob of sequence bh? 1/52 What is prob of sequence amd when three letters picked without replacement from dmaadm? 1/15 What is prob of sequence xw when two letters picked without replacement from cccxcwcwxwxcwcwx? 1/12 Calculate prob of sequence xii when three letters picked without replacement from {x: 13, i: 5}. 65/1224 What is prob of sequence gcc when three letters picked without replacement from {g: 2, c: 9, n: 7}? 1/34 What is prob of sequence jdjv when four letters picked without replacement from ytvtvvtvtvdkktvvjtj? 7/46512 Two letters picked without replacement from qbnnsqbqbdsnc. What is prob of sequence qd? 1/52 Calculate prob of sequence ww when two letters picked without replacement from {w: 3, q: 8}. 3/55 Calculate prob of sequence tzef when four letters picked without replacement from {e: 5, p: 1, t: 4, z: 1, f: 3, y: 3}. 1/952 Three letters picked without replacement from ttttttmbmbbbttbtttt. Give prob of sequence tmb. 20/969 Two letters picked without replacement from lrgr. Give prob of sequence rl. 1/6 Calculate prob of sequence ulj when three letters picked without replacement from {k: 2, l: 2, u: 3, j: 9}. 9/560 Two letters picked without replacement from {p: 1, j: 3, o: 3, d: 1, x: 5}. What is prob of sequence op? 1/52 Calculate prob of sequence hfh when three letters picked without replacement from vfhfoofoohoooovh. 3/560 What is prob of sequence uqfu when four letters picked without replacement from ququfuuquusqtq? 25/4004 Two letters picked without replacement from ffyyffiffyfifyfffiff. What is prob of sequence yf? 13/95 Calculate prob of sequence kppp when four letters picked without replacement from {p: 4, k: 10}. 10/1001 Three letters picked without replacement from {d: 2, c: 1}. Give prob of sequence ccc. 0 Calculate prob of sequence qq when two letters picked without replacement from {q: 11, f: 2}. 55/78 Two letters picked without replacement from ddwdeuudedeidee. What is prob of sequence ui? 1/105 Calculate prob of sequence rr when two letters picked without replacement from {l: 2, r: 8}. 28/45 Calculate prob of sequence twww when four letters picked without replacement from {t: 6, w: 13}. 143/1292 Three letters picked without replacement from {j: 1, e: 19}. What is prob of sequence jee? 1/20 What is prob of sequence bff when three letters picked without replacement from fllfbfffllf? 1/33 Calculate prob of sequence oju when three letters picked without replacement from uzjvovvoomoomooooo. 5/2448 Calculate prob of sequence mv when two letters picked without replacement from {m: 3, v: 4}. 2/7 Three letters picked without replacement from {x: 3, h: 1, n: 5, w: 5, b: 4, f: 2}. Give prob of sequence bnh. 1/342 Three letters picked without replacement from {x: 7, e: 4}. What is prob of sequence xee? 14/165 Calculate prob of sequence ii when two letters picked without replacement from {c: 2, i: 6}. 15/28 Two letters picked without replacement from bbzbbzbzbzzb. What is prob of sequence zb? 35/132 Three letters picked without replacement from dzdtddgigidzzgu. What is prob of sequence idz? 1/91 Four letters picked without replacement from {l: 2, u: 1, p: 1, b: 2, v: 2}. What is prob of sequence blbp? 1/420 Calculate prob of sequence wg when two letters picked without replacement from ooooggotw. 1/36 Three letters picked without replacement from lhtsttthth. What is prob of sequence lts? 1/144 What is prob of sequence jo when two letters picked without replacement from jtooj? 1/5 Three letters picked without replacement from uuuyuuy. What is prob of sequence yuu? 4/21 Calculate prob of sequence maa when three letters picked without r
{ "pile_set_name": "DM Mathematics" }
+ 26*y**3 + 0 + 0. -6*y**3 Collect the terms in -8*a - 5 + 13 - 2 - 5. -8*a + 1 Collect the terms in 782*l**2 - 46*l**2 + 652*l**2. 1388*l**2 Collect the terms in 95*w**2 - 122*w**3 - 95*w**2. -122*w**3 Collect the terms in -2 - 9*c + 2 - 24*c. -33*c Collect the terms in 12*h**3 + 178*h**2 - 63*h**2 - 59*h**2 - 56*h**2. 12*h**3 Collect the terms in 5 - 107*g + 55*g + 46*g - 2. -6*g + 3 Collect the terms in -260*v**2 + 494*v**2 - 241*v**2. -7*v**2 Collect the terms in 80650*j**2 - 4*j**3 - 80650*j**2. -4*j**3 Collect the terms in -12 - 2 + 33*a + 17*a + 13. 50*a - 1 Collect the terms in 42*u**2 - 9*u**3 - 42*u**2 + 8*u**3. -u**3 Collect the terms in -2*h**2 + 4*h**2 + 2*h**2. 4*h**2 Collect the terms in 4*l - l**2 - 4*l - 5*l + 0*l. -l**2 - 5*l Collect the terms in -46*r**3 + 20*r**3 + 21*r**3. -5*r**3 Collect the terms in -5*l**3 - 43*l**3 + 335*l**2 - 335*l**2. -48*l**3 Collect the terms in -124*y + 224*y - 1101*y. -1001*y Collect the terms in -131*h**3 - 130*h**3 + 37*h**3. -224*h**3 Collect the terms in 356*x**3 - 124*x**3 + 235*x**3. 467*x**3 Collect the terms in 14*z + 512 - 512. 14*z Collect the terms in 20 + 47 - z**2 - 17 + 3. -z**2 + 53 Collect the terms in 0 + 0 - 49675*g**2 + 49677*g**2. 2*g**2 Collect the terms in -9*x + 19*x - 9*x - 9*x. -8*x Collect the terms in -463*i - 465*i + 925*i. -3*i Collect the terms in 74*x + 8*x**2 - 74*x. 8*x**2 Collect the terms in -2*l**3 - 31*l + 3*l**3 + 26*l. l**3 - 5*l Collect the terms in -8*f**3 - 4*f**3 + f**3. -11*f**3 Collect the terms in 2*h**3 + 3*h**3 + 7*h**3. 12*h**3 Collect the terms in -281*j**3 + 276*j**3 - 1 + 0. -5*j**3 - 1 Collect the terms in -88*x + 172*x - 90*x. -6*x Collect the terms in 95*u**3 - 4*u**2 + 4*u**2 - 90*u**3. 5*u**3 Collect the terms in -11*h**2 - 17*h**2 - 16*h**2 - 16*h**3 + 39*h**2. -16*h**3 - 5*h**2 Collect the terms in 17*z**3 - 7 - 9*z**3 + 16*z**3. 24*z**3 - 7 Collect the terms in -71*g + 142*g - 68*g. 3*g Collect the terms in 2*f + f - 3*f - 12*f**3. -12*f**3 Collect the terms in 19*q**3 - 11*q**3 - 5*q**3 - 11*q**3. -8*q**3 Collect the terms in -10*q**2 + 23*q**3 + 10*q**2 - 15*q**3. 8*q**3 Collect the terms in -8*i**3 + 18*i**3 + 8*i**3. 18*i**3 Collect the terms in -5 - 17 - 30 + 6*k - 4*k. 2*k - 52 Collect the terms in -24*s - 2*s - 32*s. -58*s Collect the terms in -2*k**2 + 22 - 5 - 17. -2*k**2 Collect the terms in -5*g**3 + 8*g**3 + 6*g**3 + g**3. 10*g**3 Collect the terms in -87*h**3 + 43*h**3 + 42*h**3. -2*h**3 Collect the terms in -12*b + 85 - 85 - 6*b. -18*b Collect the terms in -3 + 6 - 3 - 2*w. -2*w Collect the terms in 4 - 7 + 3 - 147*x**2. -147*x**2 Collect the terms in 6 + 0 - 3 + 1 + 2*u. 2*u + 4 Collect the terms in -9*t**2 + 49*t**2 - 2*t + 62*t**2 - 12*t**2. 90*t**2 - 2*t Collect the terms in 14*g - 33*g + 26*g. 7*g Collect the terms in -6 + 6 + 5*x - 12*x. -7*x Collect the terms in 62 - 35*p - 62. -35*p Collect the terms in -14959 - 2*s**2 + 14959. -2*s**2 Collect the terms in 6 - 12 - 5*q + 6. -5*q Collect the terms in 28 - 28 - 791*j. -791*j Collect the terms in 1444*m**3 - 2880*m**3 + 1440*m**3. 4*m**3 Collect the terms in -3*k**2 + 9*k**2 - k**2 + 5*k**2. 10*k**2 Collect the terms in 2 - 21*f - 2 + f. -20*f Collect the terms in -64*h + 29*h + 27*h. -8*h Collect the terms in 11*v**2 + 5 - 5. 11*v**2 Collect the terms in -524*o - 243*o + 5 - 5. -767*o Collect the terms in 14*f**2 - f**2 - 15*f**2. -2*f**2 Collect the terms in 420*q**2 - 843*q**2 + 425*q**2. 2*q**2 Collect the terms in -8448*o - 8443*o + 16892*o. o Collect the terms in 5*g + 178 + 171 - 349. 5*g Collect the terms in 6*i**3 - 14*i**3 + 2*i**3 + 3*i**3. -3*i**3 Collect the terms in -3*p**2 + 0*p**2 + p**2 - 23*p**2. -25*p**2 Collect the terms in 2*c**3 - 10*c**3 - 11*c**3 - 2. -19*c**3 - 2 Collect the terms in -6*a + 6*a - a - a. -2*a Collect the terms in 6 + 5*f**3 - 3*f**3 - 6 - 3*f**3. -f**3 Collect the terms in -7*g**2 - 7*g**3 + 13*g**2 - 6*g**2. -7*g**3 Collect the terms in -6 + 2 + 4 + 8*f**2. 8*f**2 Collect the terms in 4*y**2 - 5*y**2 - y**2 + 0*y**2. -2*y**2 Collect the terms in -11*h**2 + 14*h**2 - 9*h**2. -6*h**2 Collect the terms in -3 - 2300*z + 3. -2300*z Collect the terms in 56*s**3 - 9*s**3 + 26*s**3 - 6*s**3. 67*s**3 Collect the terms in -39*s + 16 - 16. -39*s Collect the terms in 5*b**2 - 2*b**2 + 4*b**2. 7*b**2 Collect the terms in -v**2 - 9*v**2 + 27*v**2 - 5*v**2. 12*v**2 Collect the terms in 51*x - 106*x + 51*x. -4*x Collect the terms in 3 - 3 - 321*w**3 + 152*w**3. -169*w**3 Collect the terms in 2*w + 2*w - 1 + 15. 4*w + 14 Collect the terms in -90 + 90 + 6*x**2 + 3*x**2. 9*x**2 Collect the terms in 76 - 161 + 85 + 17*c**2. 17*c**2 Collect the terms in -981*g**2 + 1703*g**2 + 1101*g**2. 1823*g**2 Collect the terms in -7*d - 16*d - 4 + 5*d. -18*d - 4 Collect the terms in 636 + 0*g**3 + 3*g**3 - g**3. 2*g**3 + 636 Collect the terms in 94*n**3 + 326*n**3 + 221*n**3 - 11*n**3. 630*n**3 Collect the terms in -4*v + 4*v - 3*v. -3*v Collect the terms in 10*b**3 - 76*b**2 + 76*b**2 + 16*b**3. 26*b**3 Collect the terms in 8*v - 25*v + 17*v + 5*v. 5*v Collect the terms in -z**2 + 83 + 91 - 174. -z**2 Collect the terms in 14362 - 14362 - 10*w**2. -10*w**2 Collect the terms in -520 - 12*f - 529 + 1049. -12*f Collect the terms in -15*p - 11*p + 38*p. 12*p Collect the terms in 29*b + 28*b - 55*b. 2*b Collect the terms in -18*l**2 + 6*l**2 - 5*l**2. -17*l**2 Collect the terms in 9*z + 13*z - z + z + 7. 22*z + 7 Collect the terms in -5*i + 5*i + 7*i**2. 7*i**2 Collect the terms in 41*s**2 - 23*s**2 - 26*s**2. -8*s**2 Collect the terms in 188 - 372 + 184 + w**3. w**3 Collect the terms in 2 - 26*w**3 - 2 - 9*w**3. -35*w**3 Collect the terms in -9*j**3 - 2 + 50*j**3 + 2. 41*j**3 Collect the terms in -k**3 - 8*k**3 + 5*k**3. -4*k**3 Collect the terms in -2*r + 16*r + 2*r**2 + r**2. 3*r**2 + 14*r Collect the terms in 148*r + 153*r - 309*r. -8*r Collect the terms in -g + 75 + 0*g - 2*g - 4*g. -7*g + 75 Collect the terms in -14 + 14 - 45*b**2 + 6*b**2. -39*b**2 Collect the terms in 7*l - 7*l - 5*l**2 - 30*l**2. -35*l**2 Collect the terms in 0*o - o + 3*o - 3*o + 8*o**3. 8*o**3 - o Collect the terms in -8 + 2*n + 117*n**2 - 2*n + 7. 117*n**2 - 1 Collect the terms in -18*a**2 + 8*a**3 - 46*a**2 + 64*a**2. 8*a**3 Collect the terms in 2*a**3 - 1132 + 1132. 2*a**3 Collect the terms in -166*f**2 - 9*f + 9*f. -166*f**2 Collect the terms in b**2 + 2*b**2 - 2*b**2. b**2 Collect the terms in 8*j + 5*j - 18*j + j. -4*j Collect the terms in -107*r + 62*r + 45*r + 5*r**3. 5*r**3 Collect the terms in 2*x**3 - x**3 + 8*x**3 - 2*x**3. 7*x**3 Collect the terms in -2 + 2 + 5874*o. 5874*o Collect the terms in -177*n**3 - 180*n**3 + 352*n**3. -5*n**3 Collect the terms in -24*l**2 + 4*l - 4*l + 22*l**2. -2*l**2 Collect the terms in -4*k**2 - 9*k**2 - 2*k**2. -15*k**2 Collect the terms in 17*l - 17*l - 27*l**2. -27*l**2 Collect the terms in 2*o**3 - o**3 + 0*o**3 + o**3. 2*o**3 Collect the terms in -15*r**3 - 19*r**3 + 22*r**3. -12*r**3 Collect the terms in -1013*o + 4*o**2 + 1013*o. 4*o**2 Collect the terms in -36 - 25 + 61 + 3*i**2. 3*i**2 Collect the terms in 6*g + 101 + 7*g - 101. 13*g Collect the terms in 5*g**3 + 5*g - 5*g. 5*g**3 Collect the terms in -113 - 99 + k - 123. k - 335 Collect the terms in 4 - 4 + 13*r**2 - 3*r**2. 10*r**2 Collect the terms in 0 - 93*g**3 - 4 + 5. -93*g**3 + 1 Collect the terms in 156*p + 9*p**3 - 156*p - 17*p**3. -8*p**3 Collect the terms in -18*i - 2 + 2. -18*i Collect the terms in -5 + 118*s + 5 - 119*s. -s Collect the terms in -4*d**3 - 2*d**3 - 4 - 1. -6*d**3 - 5 Collect the terms in 19*v**3 - 9 + 9 - 14*v**3. 5*v**3 Collect the terms in -9 + 16 + 24 - m. -m + 31 Collect the terms in 0*y**3 + 15 - 3*y**3 - 19 + 11. -3*y**3 + 7 Collect the terms in -49 - 377*g + 30 + 376*g + 19. -g Collect the terms in 4*g**3 - g**3 - 3*g**3 + 3*g**3 + 34. 3*g**3 + 34 Collect the terms in 6*h**2 + 52 - 52. 6*h**2 Collect the terms in -88 + 126 + 93 - 32*n. -32*n + 131 Collect the terms in -55*z**2 - 48*z**2 + 123*z**2. 20*z**2 Collect the terms in -458*j - 455*j + 916*j. 3*j Collect the terms in -1029*h**2 + 1029*h**2 + h**3. h**3 Collect the terms in 2*n + 68 - 68. 2*n Collect the terms in -47 - 14 + f + 262. f + 201 Collect the terms in 0*c**3 + 3*c**3 + 59*c**3 -
{ "pile_set_name": "DM Mathematics" }
+ 1081*n**2. Find o, given that d(o) = 0. -21, 3 Let y(n) be the second derivative of -27*n - 2 + 1/2*n**3 - 1/24*n**4 + 7/4*n**2. Let y(s) = 0. What is s? -1, 7 Suppose -5*o + 5 = 2*v, v + 0*o - 5 = -5*o. Suppose -49*w = -66*w + 218*w - 603. Factor -2/3*t**2 - 4/9*t**w + v*t + 2/9*t**4 + 0. 2*t**2*(t - 3)*(t + 1)/9 Let h be (-13)/(52/(-20)) + 2962/(-592). Let y = h - -2371/888. Factor 13/3*t**3 + y - 2*t**2 + 5/3*t**4 - 20/3*t. (t - 1)*(t + 2)**2*(5*t - 2)/3 Let g(n) be the third derivative of -2/15*n**7 - 4/15*n**5 + 3*n**2 + 0*n + 0*n**3 + 0*n**4 + 5 - 8/15*n**6. Suppose g(s) = 0. Calculate s. -2, -2/7, 0 Let p(t) = 2*t - 23. Let i be p(15). Suppose -3 = n - i. Find j, given that 260*j + 96*j**2 + j**4 + 232 + 16*j**3 - n*j + 24 = 0. -4 Let o(l) = -189*l - 376. Let w be o(-2). Let j(g) be the first derivative of -22 - 2/3*g**3 + 2/15*g**5 + 16/3*g**w + 8*g - g**4. Factor j(h). 2*(h - 6)*(h - 2)*(h + 1)**2/3 Suppose 3/7*m**3 + 144 - 261/7*m**2 + 744/7*m = 0. What is m? -1, 4, 84 What is d in 12*d**4 - 83/2*d + 1/2*d**5 - 30 + 41*d**3 + 18*d**2 = 0? -20, -3, -1, 1 Let v be 9/(-2)*(-28)/42. Factor -v*l**3 + 7*l - 12 - 4*l**3 - 9*l + 9*l**3 + 12*l**2. 2*(l - 1)*(l + 1)*(l + 6) Let m(h) be the second derivative of -h**5/5 + 133*h**4/3 + 2*h**3/3 - 266*h**2 - 10*h - 133. Factor m(g). -4*(g - 133)*(g - 1)*(g + 1) Let s(x) be the second derivative of -1/110*x**5 + 5/11*x**3 - 127*x + 7/33*x**4 + 0 + 0*x**2. Factor s(u). -2*u*(u - 15)*(u + 1)/11 Factor 694 + 256*w - 400 + 396*w**2 - 486. 4*(9*w - 4)*(11*w + 12) Let f be (6/45)/(3 - (-135)/(-47)) + 3/(-27). Let s = -1119 - -5613/5. Factor 2/15*g**4 - s*g + 6/5*g**2 - 36/5 + f*g**3. 2*(g - 2)*(g + 3)**3/15 Let b(h) be the second derivative of 1/42*h**7 + 0*h**2 - 1/20*h**5 - 3*h + 0*h**3 + 17 + 1/4*h**4 - 1/10*h**6. Factor b(i). i**2*(i - 3)*(i - 1)*(i + 1) Let x(s) = -4*s**2 - 25*s + 5. Let o(j) = 4*j**2 + 26*j - 6. Suppose k + 6 = 3. Let q be (-7)/14*k*(-8)/2. Let a(m) = q*x(m) - 5*o(m). Factor a(t). 4*t*(t + 5) Let b(r) = 3*r**2 + 2*r - 5. Let w(j) = -8*j**2 - j + 9. Suppose 65*h + 160 = 33*h. Let d(n) = h*b(n) - 2*w(n). Factor d(t). (t - 7)*(t - 1) Let u(w) be the first derivative of 26*w**5/5 - 187*w**4/5 + 1022*w**3/15 - 226*w**2/5 + 48*w/5 + 589. Determine q, given that u(q) = 0. 2/13, 3/5, 1, 4 Determine s so that -34567*s**2 + 45*s + 17283*s**2 + 17286*s**2 + 33 - 401 + 135*s = 0. -92, 2 Let k be (-387 - -378) + 18/2. Let c(p) be the first derivative of 23 + 0*p**2 + k*p + 10/3*p**3 + 5/4*p**4. Factor c(s). 5*s**2*(s + 2) Let k(p) be the first derivative of -p**5/180 - 2*p**4/27 - 19*p**3/54 - 2*p**2/3 - 144*p - 57. Let s(u) be the first derivative of k(u). Factor s(y). -(y + 1)*(y + 3)*(y + 4)/9 Let l(n) be the first derivative of -n**4/21 + 8*n**3/7 - 22*n**2/7 - 58*n - 25. Let q(i) be the first derivative of l(i). Factor q(s). -4*(s - 11)*(s - 1)/7 Suppose -140 = 58*k - 72*k. Factor k - 7 - 3 - 8*a**2 - a**3 - 16*a. -a*(a + 4)**2 Let q = -400 + 404. Factor 145*r**q + 6*r**2 - 6*r**2 - 4*r**5 - 185*r**4. -4*r**4*(r + 10) Let t = 2154 + -2149. Suppose 4*g - 61*s - 5 = -62*s, t = s. What is z in -4/7*z**2 - 20/7*z + g = 0? -5, 0 Let j(y) be the second derivative of y**4/6 - 499*y**3/3 - 16*y + 41. Suppose j(c) = 0. Calculate c. 0, 499 Let 672*s**2 - 5760*s + 86*s**3 + 14*s**4 - 12*s**4 + 681 - 681 = 0. Calculate s. -24, 0, 5 Factor -18*r**4 + 286*r**3 + 3*r**5 - 930*r**2 - 48*r**4 - 507*r**2 + 960*r + 209*r**3 + 45*r**2. 3*r*(r - 8)**2*(r - 5)*(r - 1) Let g be (-2)/10*525/168*144/(-180). Factor -g - 1/4*i**2 + 3/4*i. -(i - 2)*(i - 1)/4 Let p = -5238 - -5242. Let k(i) be the second derivative of -5/6*i**p - 5/4*i**3 - 14*i + 0 + 0*i**2 - 1/8*i**5. Factor k(n). -5*n*(n + 1)*(n + 3)/2 Suppose 0*o + 0 + 26/3*o**2 + 34/3*o**3 + 8/3*o**4 = 0. What is o? -13/4, -1, 0 Suppose 4*l + 27 = 4*t - 53, 0 = t - 5*l - 40. Let r = t - -680. Factor 695 - r + 10*d + 15*d**2 + 5*d**3. 5*d*(d + 1)*(d + 2) Let r(o) be the third derivative of o**6/30 - 72*o**5/5 - 145*o**4/2 - 436*o**3/3 - 651*o**2. Determine n, given that r(n) = 0. -1, 218 Let t(n) be the third derivative of -125*n**7/168 - 4385*n**6/96 - 7667*n**5/80 - 1735*n**4/96 - 17*n**3/12 + 4*n**2 + 995*n. Solve t(x) = 0. -34, -1, -1/25 Let p(l) be the third derivative of l**6/600 + 14*l**5/75 + 145*l**4/24 - 841*l**3/15 + 47*l**2 - 1. Factor p(r). (r - 2)*(r + 29)**2/5 Let k = -239131 + 239133. Solve -34/11*o - 54/11*o**k + 12/11 - 8/11*o**3 = 0 for o. -6, -1, 1/4 Let i(p) be the first derivative of p**6/57 + 16*p**5/95 + 1272. Factor i(n). 2*n**4*(n + 8)/19 Let i(q) be the second derivative of -q**5/10 + 8*q**4/3 - 43*q**3/3 - 60*q**2 - 847*q. Factor i(u). -2*(u - 12)*(u - 5)*(u + 1) Let k(q) be the first derivative of 2*q**3/9 + 911*q**2/3 - 608*q - 6604. Factor k(b). 2*(b - 1)*(b + 912)/3 Let o(r) be the first derivative of 3*r**2 + 4/5*r**5 + 14/3*r**3 - 38 + 2/3*r + 19/6*r**4. Solve o(w) = 0. -1, -1/6 Determine w, given that 3389 - 2*w**2 + 3383 - 2*w**2 - 6772 + 3348*w = 0. 0, 837 Let c(j) be the second derivative of -20/3*j**3 + 30*j**2 + 5/12*j**4 - 2 - 4*j. What is f in c(f) = 0? 2, 6 Let g be (((-64)/176)/1)/(-21*4/66). Factor 71874/7 - 6534/7*x - g*x**3 + 198/7*x**2. -2*(x - 33)**3/7 Let w be 30160/(-203) + 0/2. Let d = -148 - w. Factor 0*a - d + 3/7*a**2 - 1/7*a**3. -(a - 2)**2*(a + 1)/7 Let x = 5884/11 - 41023/77. Factor -9/7 - x*f + 24/7*f**2. 3*(f - 1)*(8*f + 3)/7 Suppose -16 - 190/11*q**3 - 2/11*q**5 - 436/11*q**2 - 36/11*q**4 - 456/11*q = 0. Calculate q. -11, -2, -1 Factor -163/5 + 4/5*x**2 - 651/5*x. (x - 163)*(4*x + 1)/5 Let b(l) be the first derivative of -126 + 1/3*l**3 + 42*l - 23/2*l**2. Factor b(t). (t - 21)*(t - 2) Let h(r) be the second derivative of -r**7/210 + r**6/30 + 2*r**3/3 + 4*r**2 + 69*r. Let f(p) be the second derivative of h(p). Factor f(x). -4*x**2*(x - 3) Let q(o) be the second derivative of 150*o + 0 + 8/15*o**3 - 1/30*o**4 - 12/5*o**2. Factor q(f). -2*(f - 6)*(f - 2)/5 Let x(w) = -33*w - 326. Let d be x(-10). Find m, given that 5*m**4 - 8*m**3 + 0*m**4 - 1526 - m**d + 4*m**5 + 1526 = 0. -2, 0, 1 Let a(l) be the first derivative of l**7/56 + l**6/40 - 3*l**5/80 - l**4/16 + 86*l - 4. Let j(w) be the first derivative of a(w). Factor j(n). 3*n**2*(n - 1)*(n + 1)**2/4 Let o(m) be the first derivative of -2/15*m**6 + 6*m**2 + 143 + 16/25*m**5 - 112/15*m**3 + 0*m + 2*m**4. What is h in o(h) = 0? -3, 0, 1, 5 Factor 6144 - 3*l**4 - 2544*l**2 - 90*l**3 + 2433*l + 1992*l**2 - 129*l. -3*(l - 4)*(l + 2)*(l + 16)**2 Factor -21/4*z**3 + 0 - 19/4*z - 1/4*z**4 - 39/4*z**2. -z*(z + 1)**2*(z + 19)/4 Let a(o) be the third derivative of -o**7/252 - 7*o**6/144 - o**5/8 - o**4/4 + 3*o**2 - 2*o. Let c(k) be the second derivative of a(k). Factor c(h). -5*(h + 3)*(2*h + 1) Let u(d) be the second derivative of -d**7/14 - 11*d**6/10 - 51*d**5/20 + 11*d**4/4 + 9*d**3 - 12080*d. Determine r, given that u(r) = 0. -9, -2, -1, 0, 1 Suppose -25 = 5*s, 0*q = -q + 5*s + 72. Let m = 49 - q. Let -69*p**2 + 2 + 0*p - m*p**5 + 4*p**3 - 2*p + 2*p**4 + 65*p**2 = 0. Calculate p. -1, 1 Let f(k) be the second derivative of 0*k**3 - 7/18*k**4 + 0 + 1/30*k**5 - 33*k + 0*k**2. Let f(w) = 0. Calculate w. 0, 7 Let x(q) be the first derivative of q**4/6 + 16*q**3/9 - 3842. Determine t so that x(t) = 0. -8, 0 Let y(p) be the third derivative of 8/3*p**3 - 3 - 1/90*p**5 + 0*p - 5/36*p**4 + 5*p**2. Factor y(a). -2*(a - 3)*(a + 8)/3 Let q(c) be the first derivative of -2059*c**2 + 1884*c**2 + 115*c + 89 + 5*c**3 + 123. Factor q(l). 5*(l - 23)*(3*l - 1) Let q be -8 + 9 + (-1212)/(-132) + -10. Let -2/11*r**4 + 0*r**2 + q*r**3 + 0 + 0*r = 0. Calculate r. 0, 1 Let i(z) be the third derivative of 1/240*z**5 - 11*z - 1/96*z**4 + 0 - 1/4*z**3 + 3*z**2. Suppose i(l) = 0. What is l? -2, 3 Let t(c) be the first derivative of -c**3/3 - 407*c**2 - 165649*c - 1427. Suppose t(m) = 0. What is m? -407 Suppose 0 = 2*a + 2. Let u = 3 + a. Determine m so that 5*m + 287*m**u + m + 9*m**3 - 302*m**2 = 0. 0, 2/3, 1 Let u = 167576/3 + -55816. Factor 0 + 2/9*p**4 - 1024/9*p + u*p**2 - 16/3*p**3. 2*p*(p - 8)**3/9 Let c(v) be the second derivative of -1/36*v**4 - 54*v**2 - 2 - 21*v + 2*v**3. Find k such that c(k) = 0. 18 Let m(x) be the second derivative of -3*x - 7/12*x**5 + 6*x**3 + 1/72*
{ "pile_set_name": "DM Mathematics" }
pose k + 12 = 4*f - 0*k, 0 = 5*k. Let h(t) = -5*t + 4*t - f*t. Let i(g) = 2*g - g + 0*g. What is h(i(n))? -4*n Let r(b) = 181*b. Let l(q) = -2*q**2. Calculate r(l(s)). -362*s**2 Suppose -h + 4 = 0, h + 2*h = -4*t - 12. Let l(s) = -14*s**2 - 17. Let g(n) = 5*n**2 + 6. Let c(f) = t*l(f) - 17*g(f). Let a(y) = -y. Determine c(a(b)). -b**2 Let a(f) be the second derivative of f**4/6 - 12*f. Let y(j) = 31*j. Give y(a(w)). 62*w**2 Let o(m) = -109*m**2. Let z(q) = -3*q**2. Determine z(o(d)). -35643*d**4 Suppose -11 = 2*v + 3*z, 3*v - 19 - 7 = 4*z. Let m(t) = 0*t**2 + t**v + 0*t**2. Let c(l) = 3*l. Give m(c(a)). 9*a**2 Let v(c) = -3*c**2. Let t(j) = j**2 - 70. Give t(v(a)). 9*a**4 - 70 Let q(j) = j - 1. Let n(b) = 3*b**2 - 3*b + 3. Let f(g) = -n(g) - 3*q(g). Let c(o) be the second derivative of o**3/3 - o. Give c(f(w)). -6*w**2 Let v(y) = -6*y + 8. Let q(p) = 2*p - 3. Let x(z) = 8*q(z) + 3*v(z). Let u(g) = -2*g**2. Calculate u(x(r)). -8*r**2 Let x(s) be the first derivative of 0*s - 1/3*s**3 - 10 + 0*s**2. Let i(j) = 3*j. Give x(i(n)). -9*n**2 Let f(d) = -d. Suppose 0 = -4*k + 6 + 10. Let w(s) = 10 + 3*s**2 - 10 - k*s**2. What is w(f(l))? -l**2 Let b(l) = -626*l**2. Let r(c) = -c. Calculate b(r(y)). -626*y**2 Let b(z) = -49*z. Let o(p) be the first derivative of p**2/2 + 15. What is b(o(j))? -49*j Let g(p) be the first derivative of 0*p - 2/3*p**3 + 0*p**2 - 3. Let q(u) = 2*u**2 - 2*u**2 - 3*u**2. Determine g(q(y)). -18*y**4 Let n(b) = 7*b. Let y(m) = 13*m**2. Let x(k) = k**2. Let o(g) = 22*x(g) - 2*y(g). Give n(o(c)). -28*c**2 Let l(x) = -6*x**2. Let u(q) be the third derivative of -q**4/3 - 26*q**2. Determine l(u(n)). -384*n**2 Let d(q) = 2*q**2. Let s(b) = -2*b**2 - 4*b. Let h(u) = -2*u**2 - 5*u. Let r(o) = 4*h(o) - 5*s(o). Calculate d(r(t)). 8*t**4 Let h(z) = 3*z**2. Let a(t) = 4*t - 49. What is a(h(g))? 12*g**2 - 49 Let l(q) = -q. Let y(t) = -t**2 + 3 - 3 + 2*t**2. Determine l(y(u)). -u**2 Let q(u) be the third derivative of -u**5/60 + 7*u**2. Let z(l) = 20*l. Determine z(q(t)). -20*t**2 Let i(g) = g**2. Let j = -4 - 8. Let f be (-1)/(-3) + 4/j. Let v(t) = t - 2*t + f*t. Calculate i(v(o)). o**2 Let u(j) be the first derivative of 0*j**2 + 0*j - 1/3*j**3 - 2. Let r(i) = -5*i. Give r(u(k)). 5*k**2 Let p(y) = -4*y. Let z(x) = -19*x + 28. What is z(p(d))? 76*d + 28 Let u(v) = -63*v. Let y(q) = 45*q**2 - 2. Determine u(y(k)). -2835*k**2 + 126 Let h(m) be the first derivative of -m**2 + 29. Let z(u) = -20*u. What is h(z(w))? 40*w Let l(p) = 3*p**2. Let c(s) = 87*s**2. Give c(l(i)). 783*i**4 Let q(l) = 8*l. Let j(v) be the second derivative of -v**4/12 + 7*v. Determine q(j(b)). -8*b**2 Let y(b) = -2*b**2 - 195 + 195 + 3*b**2. Let r(g) = -20*g**2. Determine r(y(x)). -20*x**4 Let x(l) = -l**2 + 6*l - 5. Let i be x(4). Let g(f) be the second derivative of f**i + 2*f + 0*f**3 + 2*f - f. Let c(t) = -t. Determine c(g(p)). -6*p Let r be 8/3*15/20. Let l(w) = -4*w**r + 6*w**2 + 3 - 3. Let t(j) = -3*j. What is t(l(d))? -6*d**2 Let v(j) = -j**2. Let l(q) = 10*q + 7. Let m(t) = -3*t - 2. Let b(o) = 2*l(o) + 7*m(o). What is b(v(c))? c**2 Let s(i) = 2*i. Let v(y) = -220*y. What is v(s(a))? -440*a Let z(o) be the third derivative of -o**5/30 - 24*o**2. Let a(b) = 19*b + 1. Determine a(z(x)). -38*x**2 + 1 Let y(i) = -4*i + 3. Let m(z) = -7*z + 5. Let l(f) = -3*m(f) + 5*y(f). Let s(t) be the third derivative of -t**4/12 - 2*t**2. Determine s(l(j)). -2*j Let g(m) = 12818*m. Let a(p) = -p. Determine g(a(n)). -12818*n Let c(v) = -2*v**2. Let p(s) = 0 + 8*s**2 + 0. Give p(c(d)). 32*d**4 Let r(b) = -3*b**2 - 3*b. Let s(x) = -2*x**2. Determine s(r(c)). -18*c**4 - 36*c**3 - 18*c**2 Let r(l) = -12*l. Let o(x) = 14*x**2. Let s(z) = 9*z**2. Let h(t) = -5*o(t) + 8*s(t). Determine h(r(g)). 288*g**2 Let u(q) = -3*q**2 - 5*q**2 - 1 + 1. Let i(r) = 2*r**2 - 6 + 6. Calculate u(i(g)). -32*g**4 Let l(s) = 4*s**2 - 14*s. Let v(x) = -128*x + 2. Calculate l(v(h)). 65536*h**2 - 256*h - 12 Let p(n) = 3*n**2 - 13*n**2 + 9*n**2. Let v(c) = -11*c. Calculate v(p(a)). 11*a**2 Let u(y) be the first derivative of -3/2*y**2 + 0*y - 3. Let i(l) = 4*l. Give i(u(c)). -12*c Let u(c) = -2*c. Let x(w) = -174*w**2. Determine u(x(m)). 348*m**2 Let m(o) = -134*o**2. Let t(k) = 2*k**2. Calculate t(m(f)). 35912*f**4 Let k(u) be the second derivative of 0 + 0*u**3 - 1/12*u**4 + 0*u**2 + 9*u. Let a(m) = -4*m. What is k(a(v))? -16*v**2 Let b(h) = 2799*h - 9*h**2 - 2799*h. Let x(k) = 2*k**2. Give x(b(l)). 162*l**4 Let t(q) = q. Let c(l) be the second derivative of 3*l + 0*l**2 + 0*l**3 + 1/4*l**4 + 0. Give t(c(f)). 3*f**2 Let i = -3 - -6. Suppose i*n - 5 = -2*n. Let d(o) = 3*o**2 - 3. Let l(f) = 1. Let s(q) = n*d(q) + 3*l(q). Let p(b) = 2*b. Determine p(s(y)). 6*y**2 Let z(f) be the third derivative of f**5/40 + f**3/3 + 2*f**2. Let p(i) be the first derivative of z(i). Let v(t) = 3*t. Determine v(p(a)). 9*a Let d(p) = -4*p**2 - 13*p + 13. Let g(k) = 2*k**2 + 6*k - 6. Let n(c) = -6*d(c) - 13*g(c). Let b(h) = 16*h**2. Give b(n(s)). 64*s**4 Let f(v) = 10*v. Let h(y) = y**2 - 3*y - 3. Let l(s) = s**2 - 2*s - 2. Let c(x) = 2*h(x) - 3*l(x). Give c(f(o)). -100*o**2 Let u(s) = -11*s - 5. Let w(f) = 2*f + 1. Let r(q) = u(q) + 5*w(q). Let i(n) = 0*n - 6*n - 6*n. Determine r(i(g)). 12*g Let l(u) = 3*u**2 - 3*u. Let a(g) = -6*g**2 + 5*g. Let p = 9 + -12. Let w(d) = p*a(d) - 5*l(d). Let h(c) = -3*c. Determine h(w(n)). -9*n**2 Let b(t) = 2*t. Let r(p) be the third derivative of p**5/60 - p**3/6 - 2*p**2. Let h(g) be the first derivative of r(g). Determine b(h(s)). 4*s Let s(f) = f - 2. Let n be s(4). Let r(c) = -n*c - c + 7*c. Let x(p) be the first derivative of -p**3/3 + 22. Give r(x(y)). -4*y**2 Let r(u) = -2*u**2. Let f(d) = -50 - 6*d**2 + 50. Calculate r(f(b)). -72*b**4 Let y(u) = 21*u**2. Let l(j) = -57*j. Give l(y(d)). -1197*d**2 Let c be -1*((-6)/(-3) + -2). Let r(k) = c + 3*k + 0. Let j(a) = 10*a**2 + 7*a. Let s(u) = -3*u**2 - 2*u. Let z(o) = 2*j(o) + 7*s(o). Determine z(r(g)). -9*g**2 Let t(w) = 1. Let j(a) = 2 - 2 + 4 + a**2. Let s(l) = -j(l) + 4*t(l). Let y(z) = -z**2. Let q(m) = -8*m**2. Let u(r) = -q(r) + 4*y(r). Determine u(s(c)). 4*c**4 Let x(a) be the second derivative of -a**5/20 - 5*a**2/2 - 2*a. Let c(g) be the first derivative of x(g). Let s(j) = -2*j**2. Give s(c(b)). -18*b**4 Let j(q) = -13*q + 11. Let b(h) = 6 - 15*h + 5*h + 3*h. Let f(t) = -11*b(t) + 6*j(t). Let y(o) = -2*o**2. What is y(f(n))? -2*n**2 Let r(f) be the third derivative of -f**5/60 - f**2. Let p(j) = -5 + 5 + j. What is p(r(y))? -y**2 Suppose 25 = 5*h - 5*x, -x + 1 = 3*h + 6. Let q = h - -2. Let w(v) = -4*v**2 - q*v**2 - v**2 + 4*v**2. Let r(m) = m**2. What is r(w(c))? 9*c**4 Let j(u) be the third derivative of -u**5/10 + 5*u**4/12 - 15*u**2. Let q(i) = i. Give q(j(v)). -6*v**2 + 10*v Let z(x) be the third derivative of -17*x**5/60 + 66*x**2. Let l(t) be the third derivative of -t**5/60 + 2*t**2. Determine z(l(a)). -17*a**4 Let y(b) = 7043 - 7043 - b. Let k(c) = -39*c**2. Give y(k(f)). 39*f**2 Let p(z) = 0 + z**2 - 2*z**2 + 0. Let y(l) = 3*l**2 + 2*l + 2. Let k(r) = -r**2 - r - 1. Let g(j) = 4*k(j) + 2*y(j). Give p(g(s)). -4*s**4 Let z(o) = 7*o**2. Let x(v) = -20*v**2 + 17*v. Let p(b) be the third derivative of 7*b**5/60 - b**4/4 - 6*b**2. Let n(w) = 17*p(w) + 6*x(w). Give z(n(s)). 7*s**4 Let c(t) = t. Let b(y) = -3*y + 3. Let p(x) = -x**2 + 4*x - 4. Let l(i) = i**3 - 4*i**2 + 4*i + 1. Let r be l(3). Let h(k) = r*b(k) + 3*p(k). Give h(c(g)). -3*g**2 Let f(l) = 3*l. Let t(h) = 0*h - 2*h - 2*h. What is t(f(v))? -12*v Let j = 1 - -1. Let x(y) = j - y - 1 - 1. Let a(c) be the third derivative of -c**4/24 + c**2. Calculate x(a(p)). p Let z(y) = -5*y. Let q(t) = -2*t + 5*t - 3*t - 2*t. Determine z(q(p)). 10*p Let j(n) = -n + 2. Suppose 0 = -4*c + v - 8, -2*c - 5*v - 4 = -3*v. Let d be j(c). Let t(o) = -o + 2*o + d*o - 3*o. Let i(u) = -3*u**2. What is i(t(p))? -12*p**2 Let n(l) = l**2. Let x = 4 + -4. Let s(d) be the second derivative of 0 + 0*d**3 + x*d**2 + 2*d - 1/4*d**4. Give n(s(j)). 9*j**4 Let p(a) = a**2. Let h(v) be the third derivative of -3*v**4/4 - 9*v**2. Determine h(p(o)). -18*o**2 Let m(p) = -p. Let s(i) be the third derivative of i**4/8 + 2*i**2. Let u be s(1). Let g(z) = z**2 + 3*z - u*z + z**2. What is g(m(k))? 2*k**2 Let g(
{ "pile_set_name": "DM Mathematics" }
78. 13 Let j = -786 + 519. Let v = 90 - j. Suppose -2*o = -9*o + v. What is the highest common divisor of 17 and o? 17 Let t(i) = 639*i + 1042. Let z be t(2). What is the greatest common divisor of 16 and z? 16 Let r = 104 - 30. Suppose -2*s + 55 = j, -r = -4*s + 2*j + 40. Suppose -4032 = -3*t - 13*t. What is the highest common factor of s and t? 28 Let a(w) = 42*w - 2323. Let q be a(56). Calculate the greatest common factor of q and 89. 1 Let a = -11647 - -16402. Calculate the greatest common divisor of a and 60. 15 Let t be 522/6 + -5 + (-14 - -12). Calculate the highest common divisor of 12560 and t. 80 Let p(g) = -3*g + 13. Let y(h) = h + 2. Let b(x) = p(x) - 2*y(x). Let v be b(0). Let z be 6/(-15) + 724/10. What is the greatest common factor of v and z? 9 Let i be 872/(-1526) + (0 - (-642)/21). What is the greatest common factor of 366 and i? 6 Suppose a = 2*a - 133. Let d be 276/60 + 8/20 + 14. Calculate the greatest common divisor of a and d. 19 Suppose 2*z + 2*o = 272, z + 0*z = -4*o + 142. Suppose 4*p - 59*r + 57*r - z = 0, -1 = r. Calculate the highest common divisor of 528 and p. 33 Let y = 91 + -87. Let d(s) = 5*s**2 - 15*s + 8. Let f be d(y). What is the highest common factor of f and 154? 14 Let y be -8 - 308/(1 + -8). Let u(z) = 7*z + 55. Let q be u(-7). Calculate the greatest common divisor of y and q. 6 Let p = 0 - -5. Let s(v) be the first derivative of 2*v**3/3 - 4*v**2 - 9*v + 7. Let x be s(6). What is the greatest common divisor of x and p? 5 Let m(c) = -100*c + 6795. Let q be m(60). Calculate the greatest common factor of q and 6095. 265 Let g = -6821 - -6823. Calculate the greatest common factor of 8462 and g. 2 Let i = 48 - 12. Let b(y) = y**3 + 11*y**2 + 16*y - 9. Suppose -60 = u - 51. Let d be b(u). What is the highest common divisor of d and i? 9 Let y = -88 + 93. Suppose -10*t + y*t + 176 = -3*z, -10 = 5*z. Calculate the highest common divisor of 170 and t. 34 Let y be 11 - 1/2*-4. Suppose -15*r + 10*r + 3*p + y = 0, -r = -2*p - 4. Calculate the highest common factor of r and 18. 2 Let i be 4558876/3864 - (2/(-6) - (-4)/24). What is the highest common divisor of 260 and i? 20 Suppose -5*y = -20, j - 4*y - 27 = 51. Suppose m + 0 = 1, -j = -f + m. Calculate the greatest common factor of f and 57. 19 Suppose 3*f = -4*q + 10, 5*q - 12 = -17*f + 13*f. Let k be 164 - (8 + q)/(-3). Calculate the highest common factor of k and 42. 42 Suppose 0 = 1280*w - 1270*w - 600. Calculate the greatest common divisor of 1360 and w. 20 Let l = 184 + -91. Let r(s) = s**3 - 64*s**2 + 3*s - 37. Let u be r(64). Calculate the highest common divisor of u and l. 31 Suppose -4*q = -3*q + h - 2479, 0 = 3*h - 12. Calculate the highest common divisor of 11 and q. 11 Suppose 321*g = 279*g + 10752. What is the highest common factor of g and 100? 4 Let s(g) = -g**3 - 5*g**2 - 17. Let i be s(-7). Let m be 29853/i + (2 - 28/18). Calculate the highest common divisor of m and 18. 9 Suppose -4*d - 5*x = -1179, -d = -4*x - x - 301. Let j be (-5)/(25/(-30)) - (4 + -6). Calculate the highest common divisor of j and d. 8 Let p = 388 + -372. Suppose 27*a - 418 = p*a. What is the greatest common factor of a and 38? 38 Let f be 146*5*3/(-8)*(-42 + 6). Calculate the highest common divisor of 135 and f. 135 Let r = 5266 + -5146. Calculate the highest common factor of r and 456. 24 Suppose 0 = 8*k - 4*k + 3*q - 639, -3*k + 4*q = -448. Let z = k + -152. Calculate the highest common factor of z and 3. 1 Suppose -2*o = -3*z + 150, 2*z + o = 2*o + 100. Calculate the greatest common factor of 4050 and z. 50 Let m(y) = -19*y + 372. Let x be m(18). What is the greatest common factor of x and 5970? 30 Let y(t) = 3*t**3 + 10*t**2 - 4*t**3 - 4*t - 67 - 16*t - 22*t**2 + 0*t**3. Let s be y(-11). Calculate the highest common factor of s and 72. 8 Let t be ((-14)/6 + 1)*(-11)/(-33)*-45. Calculate the highest common divisor of t and 1780. 20 Let c = 829 + -843. Let p be (151 - 144)*(-104)/c. Let s be 1 + 14 + -1 - 1. Calculate the highest common factor of p and s. 13 Suppose 0 = 204*d - 8*d - 97020. Calculate the greatest common divisor of 3069 and d. 99 Let d be (-996)/(-83)*((-3)/(-2))/((-15)/(-55)). Calculate the highest common divisor of d and 1562. 22 Suppose -19*y + o + 737 = -16*y, -3*o - 1227 = -5*y. What is the greatest common factor of 2337 and y? 123 Let a be (-86)/(-8) - (-9)/(-12). Suppose a = 23*u - 634. What is the greatest common divisor of u and 112? 28 Suppose -2*v - 2*v + 1106 = -630. Calculate the highest common factor of 651 and v. 217 Suppose 1046941 = 109*j - 349183 - 128895. What is the greatest common factor of j and 34? 17 Let i(a) = -43*a + 334. Let f(t) = -129*t + 1003. Let q(g) = -2*f(g) + 7*i(g). Let u be q(-34). What is the greatest common divisor of 26 and u? 26 Let u = -36051 + 38886. What is the greatest common divisor of 441 and u? 63 Let m = -17054 + 17134. Calculate the highest common divisor of 20 and m. 20 Suppose -x = -5*o + 49, 0 = x + x + 8. Let i(j) = 4*j - 18. Let u be i(o). Let m = 8 - 2. What is the greatest common divisor of u and m? 6 Let d = -285 + 355. Suppose -3*w = -5*b - 52, -5*b = 4*w - 9*w + d. Calculate the highest common factor of w and 288. 9 Suppose 0 = -2*m, 0 = 5*x - 2*m - 16 + 6. Let h(z) = -6 + 6*z**x - 16*z + z**3 + 5 + 11. Let j be h(-8). Calculate the greatest common factor of j and 80. 10 Suppose -2296*g + 2326*g - 234600 = 0. What is the highest common divisor of g and 102? 34 Suppose -2513 - 14218 = -39*g. What is the highest common divisor of g and 77? 11 Let f = 34270 + -34243. Calculate the highest common divisor of 576 and f. 9 Suppose 0 = -269*w + 276*w + 28. Let r be (-6 - 60/(-9))*(-6)/w. What is the greatest common factor of r and 3? 1 Let c be 24/(-9 - -1) - (-7 - 311). Calculate the highest common divisor of c and 135. 45 Let m(s) = 80*s - 380. Let t(g) = -26*g + 127. Let r(y) = 4*m(y) + 11*t(y). Let v be r(6). What is the greatest common divisor of 9 and v? 9 Let n = 13667 + -5660. Calculate the highest common factor of 51 and n. 51 Let d be (48 - 36)*21*2. What is the highest common factor of 9 and d? 9 Let k = -99 - -104. Suppose k*w = -7*w + 7488. Calculate the greatest common factor of w and 96. 48 Let z = 51 + -34. Suppose -20 = 5*f, -5*l + 0*f + z = 2*f. Suppose l*g + 5*w - 635 = 0, -5*w - 1 = -6. What is the highest common factor of 14 and g? 14 Suppose 12*b - 7*b = 175. Let z = -22 + b. Let q(l) = 55*l - 6. Let g be q(2). What is the greatest common factor of z and g? 13 Suppose 3*b = 29 + 1. Let l be 2754/30 + 2/b. Suppose 0 = 2*h + 3*t - 40, h + 2*t - 29 = 5*t. Calculate the highest common factor of h and l. 23 Let r be (-5 + 0 + 286/39)*3. Suppose r*b = 38*b - 1519. Calculate the highest common divisor of 245 and b. 49 Let a = -23748 - -23818. Calculate the greatest common factor of 10 and a. 10 Suppose 0 = 3*y - 17 + 5. Suppose -y*q + 101 = 2*z - 9*q, -z + 4*q + 46 = 0. What is the highest common divisor of 522 and z? 58 Let g = -28422 - -65682. Calculate the highest common factor of g and 230. 230 Let q(f) = -2*f**2 + 3*f + 22. Let u be q(5). Let b = u - -40. Let l be ((-18)/4 + 0)*-4. Calculate the highest common divisor of b and l. 9 Suppose 2*g = 16*g - 840. Let v be (-8)/6*(-102)/(-2). Let k be (-4)/34 + 64/v*-32. What is the highest common divisor of g and k? 30 Let r be (-18)/(-24) + (-6)/8 - 6. Let s = -1 + r. Let n(o) = -5*o + 5. Let t be n(s). What is the greatest common factor of t and 8? 8 Let k = 10489 + -8754. What is the highest common divisor of k and 5? 5 Suppose 5*f + 680 - 1080 = -0*f. Suppose 19*v = 21*v - 192. What is the highest common factor of f and v? 16 Let z be (60*1)/(42/63). Suppose -4*c = 3*h - 404 - 250, 5*h = -2*c + 320. Calculate the greatest common divisor of z and c. 15 Let j(c) = 2*c**3 + 5*c**2 + 3*c + 1. Let u be j(-2). Let x be (0 - (-7)/2)/(u/(-4)). What is the highest common divisor of 4 and x? 2 Let h be 5 - 1815/(1 + -4). Let l be (-15 + 11 + 3)*-10*1. What is the highest common factor of l and h? 10 Let n(s) = -6*s - 11. Let r be n(-16). Let t = -68 + r. Let h = 20 - t. What is the greatest common divisor of 15 and h? 3 Let x be (-15)/5 + 3459/3. Suppose -4*i - 1150 = -5*s, 0*s + 5*s - i = x. Calculate the greatest common divisor of 50 and s
{ "pile_set_name": "DM Mathematics" }
s are there in one quarter of a litre? 250 What is 3.962442 kilometers in millimeters? 3962442 How many litres are there in 80.66817ml? 0.08066817 What is twenty-five quarters of a litre in millilitres? 6250 Convert 276.6608 millilitres to litres. 0.2766608 How many millilitres are there in five eighths of a litre? 625 How many millennia are there in 44.20421 decades? 0.4420421 How many milligrams are there in 42/5 of a gram? 8400 What is five eighths of a tonne in kilograms? 625 How many hours are there in one sixth of a day? 4 Convert 909.5151m to kilometers. 0.9095151 How many grams are there in 2/125 of a tonne? 16000 What is 7/4 of a millennium in months? 21000 What is 0.840837 months in centuries? 0.0007006975 Convert 470518.1 millilitres to litres. 470.5181 How many millilitres are there in twenty-five quarters of a litre? 6250 How many millennia are there in 1466.7024 months? 0.1222252 How many kilograms are there in three fifths of a tonne? 600 How many nanograms are there in 362254.7kg? 362254700000000000 What is 654945.1 days in seconds? 56587256640 What is twenty-nine halves of a millisecond in microseconds? 14500 Convert 0.9507848 micrometers to kilometers. 0.0000000009507848 How many kilograms are there in 17/2 of a tonne? 8500 Convert 5.165009 litres to millilitres. 5165.009 How many micrometers are there in thirteen quarters of a centimeter? 32500 Convert 64021.2ug to grams. 0.0640212 How many hours are there in 38/7 of a week? 912 What is two fifteenths of a century in months? 160 Convert 12.41447m to millimeters. 12414.47 How many millilitres are there in six fifths of a litre? 1200 Convert 348.1303 centimeters to kilometers. 0.003481303 What is 27.19778 milliseconds in seconds? 0.02719778 How many micrograms are there in 346.9801kg? 346980100000 Convert 628.9378km to nanometers. 628937800000000 Convert 439078.4ug to kilograms. 0.0004390784 What is three eighths of a litre in millilitres? 375 How many micrometers are there in 1/4 of a centimeter? 2500 Convert 38.13937mm to centimeters. 3.813937 How many days are there in 8383.9743 minutes? 5.822204375 How many months are there in 657.8893 centuries? 789467.16 What is 11/10 of a micrometer in nanometers? 1100 What is four fifteenths of a decade in months? 32 What is 7/2 of a milligram in micrograms? 3500 How many nanograms are there in 14.12238 micrograms? 14122.38 How many millilitres are there in 6/5 of a litre? 1200 What is 7/4 of a week in hours? 294 What is six fifths of a meter in centimeters? 120 Convert 76.22694mg to micrograms. 76226.94 What is fourty-five quarters of a litre in millilitres? 11250 How many micrometers are there in 354.4358 millimeters? 354435.8 Convert 92089.69 days to microseconds. 7956549216000000 Convert 9568.79 days to weeks. 1366.97 What is 27/4 of a micrometer in nanometers? 6750 What is three fifths of a gram in milligrams? 600 How many millilitres are there in 17/2 of a litre? 8500 Convert 127.6779861ns to weeks. 0.00000000000021110778125 What is three eighths of a centimeter in micrometers? 3750 Convert 52.84331ml to litres. 0.05284331 What is 29483.66 minutes in seconds? 1769019.6 Convert 338.0312t to micrograms. 338031200000000 How many micrometers are there in 15/4 of a centimeter? 37500 How many months are there in 26241.91 decades? 3149029.2 What is thirteen quarters of a tonne in kilograms? 3250 What is 29439.19ml in litres? 29.43919 What is 3/8 of a litre in millilitres? 375 What is 2/7 of a week in hours? 48 How many minutes are there in 4.651771 weeks? 46889.85168 Convert 151952.2 grams to milligrams. 151952200 How many millilitres are there in 80818.69 litres? 80818690 What is 3/5 of a millimeter in micrometers? 600 What is 3/5 of a hour in minutes? 36 What is 0.2119022m in centimeters? 21.19022 Convert 0.6044261um to meters. 0.0000006044261 How many meters are there in 43/2 of a kilometer? 21500 What is 874.5028 nanograms in tonnes? 0.0000000000008745028 What is 1/5 of a hour in seconds? 720 What is 396156.9 micrometers in nanometers? 396156900 Convert 640118.5 micrograms to grams. 0.6401185 What is 92.10412ml in litres? 0.09210412 Convert 19120.74 millilitres to litres. 19.12074 How many months are there in three tenths of a decade? 36 How many millilitres are there in three eighths of a litre? 375 What is 4325.029 nanometers in micrometers? 4.325029 What is 5/4 of a millennium in months? 15000 Convert 0.2686299 nanometers to meters. 0.0000000002686299 How many centimeters are there in three sixteenths of a kilometer? 18750 How many millilitres are there in 0.3412249l? 341.2249 What is 145105.5nm in meters? 0.0001451055 What is one tenth of a millisecond in nanoseconds? 100000 What is 7/4 of a millisecond in microseconds? 1750 How many hours are there in sixteen sevenths of a week? 384 How many grams are there in 693378.6ug? 0.6933786 How many nanoseconds are there in 0.54102 weeks? 327208896000000 What is 5/8 of a week in hours? 105 How many millilitres are there in sixty-seven quarters of a litre? 16750 How many milligrams are there in seventy-five quarters of a gram? 18750 How many micrometers are there in 6/25 of a millimeter? 240 How many decades are there in six fifths of a century? 12 What is 999.2973 meters in kilometers? 0.9992973 What is 1/10 of a tonne in kilograms? 100 Convert 2.307168ml to litres. 0.002307168 Convert 0.7770304 micrometers to centimeters. 0.00007770304 How many days are there in 6.29151 weeks? 44.04057 How many nanoseconds are there in fourty-five quarters of a microsecond? 11250 What is 2118.397 centuries in millennia? 211.8397 What is eleven eighths of a century in months? 1650 What is thirty-one fifths of a gram in milligrams? 6200 What is twenty-one quarters of a microgram in nanograms? 5250 Convert 70.00853 centuries to decades. 700.0853 What is thirty-four fifths of a millennium in years? 6800 What is 2/45 of a week in seconds? 26880 What is fifty-five quarters of a gram in milligrams? 13750 How many micrometers are there in one quarter of a millimeter? 250 What is 3/10 of a meter in centimeters? 30 Convert 0.1180048 nanometers to centimeters. 0.00000001180048 Convert 9320.559t to grams. 9320559000 How many milliseconds are there in 0.5268864us? 0.0005268864 What is thirteen fifths of a gram in milligrams? 2600 What is 0.1130096ng in micrograms? 0.0001130096 What is 9/10 of a meter in centimeters? 90 What is 0.4014121 litres in millilitres? 401.4121 Convert 50.27861 millilitres to litres. 0.05027861 How many millilitres are there in sixty-four fifths of a litre? 12800 Convert 2181.865 centuries to millennia. 218.1865 How many millimeters are there in 77/2 of a meter? 38500 How many millilitres are there in 8/25 of a litre? 320 How many litres are there in 923.3112 millilitres? 0.9233112 What is 1/20 of a litre in millilitres? 50 How many months are there in 46249.42 years? 554993.04 How many grams are there in thirty-one fifths of a kilogram? 6200 How many kilometers are there in 8.027788um? 0.000000008027788 How many hours are there in 11/4 of a day? 66 Convert 7.240748 days to microseconds. 625600627200 What is 23/7 of a week in minutes? 33120 What is one quarter of a day in minutes? 360 What is three eighths of a litre in millilitres? 375 How many millilitres are there in 3/5 of a litre? 600 How many micrograms are there in 45/8 of a milligram? 5625 How many seconds are there in one twentieth of a week? 30240 How many nanograms are there in fourty-nine quarters of a microgram? 12250 What is 0.672967 hours in nanoseconds? 2422681200000 How many nanometers are there in 225.6056 micrometers? 225605.6 Convert 62880.795us to hours. 0.0000174668875 How many nanometers are there in 47/4 of a micrometer? 11750 Convert 65.8111 centuries to years. 6581.11 How many microseconds are there in three eighths of a millisecond? 375 How many minutes are there in 1/4 of a day? 360 How many minutes are there in thirteen fifths of a hour? 156 What is 29/2 of a second in milliseconds? 14500 Convert 49336.26 years to decades. 4933.626 How many milligrams are there in 0.5570937t? 557093700 How many millimeters are there in three tenths of a centimeter? 3 Convert 125857.5 millimeters to centimeters. 12585.75 How
{ "pile_set_name": "DM Mathematics" }
48347*a. What is w(j(k))? 48193388*k Let g(a) = -2*a. Let n(i) = 105*i - 21. Let y(j) = 52*j - 9. Let p(z) = 3*n(z) - 7*y(z). Give g(p(c)). 98*c Let t(h) = -2*h**2 + 465600*h - 7. Let m(y) = -22*y. Calculate t(m(o)). -968*o**2 - 10243200*o - 7 Let g(u) = -80*u. Let w(x) = -8870*x + 8870*x + 24*x**2 - 13*x**2 + 31*x**2. Give w(g(b)). 268800*b**2 Let z(a) be the second derivative of -8*a**3/3 - 2*a - 35. Let h be 1 - 1 - -1 - -66. Let l(d) = 2*d**2 + 67*d - h*d. Determine l(z(i)). 512*i**2 Let w be ((-16)/(-12))/(5/15). Let s(l) = -w*l - 22 + 22 + 6*l. Let y(f) = 4*f. Give y(s(q)). 8*q Let l(g) = -4*g**2. Let k(a) = -68*a. Let j(r) be the first derivative of -5*r**2/2 + 240. Let b(h) = -34*j(h) + 2*k(h). Determine b(l(m)). -136*m**2 Let f(n) = 1405*n**2 - 145. Let k(t) = -3*t + 3. Calculate k(f(q)). -4215*q**2 + 438 Let n(w) = 689*w. Let a(r) = -16*r - 17. What is a(n(y))? -11024*y - 17 Let q(r) = -r - 9. Let v(w) be the first derivative of -3*w**2/2 + 147. Let h(l) = 10*l. Let a(m) = -2*h(m) - 7*v(m). Calculate a(q(u)). -u - 9 Let w(f) be the first derivative of -9*f**2/2 + 1635. Let i(y) = 123*y**2. Give i(w(s)). 9963*s**2 Let r(t) = 7*t**2. Let v(n) be the first derivative of -19*n**3/3 + 12*n - 13433. Calculate v(r(h)). -931*h**4 + 12 Let a(o) = o**2. Let k(c) = -6612840*c. What is k(a(n))? -6612840*n**2 Let q(c) = c**2 - 3*c**2 - 2*c**2. Let s(d) be the first derivative of -143 - 2/3*d**3 + 0*d + 0*d**2. What is q(s(v))? -16*v**4 Let k(w) = -1500*w. Let j(s) = -565*s. Let g(q) = -8*j(q) + 3*k(q). Let p(i) = 296*i**2. What is p(g(o))? 118400*o**2 Let u(p) be the third derivative of 5*p**4/8 - 25*p**2 - 5. Let v(l) = -26*l**2. Give u(v(c)). -390*c**2 Let u(z) be the second derivative of -z**5/2 + z**3/3 - 70*z**2 - z - 26. Let b(g) be the first derivative of u(g). Let f(j) = 5*j. Calculate b(f(s)). -750*s**2 + 2 Let x(m) be the third derivative of -7*m**6/360 - 2*m**4 - 137*m**2. Let y(g) be the second derivative of x(g). Let i(h) = -19*h**2. Calculate y(i(l)). 266*l**2 Let u(p) be the third derivative of -37*p**6/180 - p**4/2 + 5*p**3/6 + 174*p**2. Let v(j) be the second derivative of u(j). Let i(r) = r. What is v(i(t))? -148*t Let z(r) = r - 8. Let c(l) = 2483243*l. Determine c(z(i)). 2483243*i - 19865944 Let m(g) be the first derivative of 5*g**3/3 - 104. Let l(h) = -2*h + 2*h - h - h. Calculate m(l(v)). 20*v**2 Let s(m) be the first derivative of 1202*m**2 + 2556. Let w(r) = r**2. Determine s(w(y)). 2404*y**2 Let d(t) = -15*t**2. Let s(c) be the third derivative of c**4/6 - 3*c**2 + 12. Let l(q) = 38*q. Let i(o) = l(o) - 3*s(o). Calculate d(i(y)). -10140*y**2 Let d(g) = -5*g**2. Let c be (-49)/(-63) - (-4)/18. Let f(s) = -1383*s + 1 - c + 1396*s. Calculate d(f(z)). -845*z**2 Let r(j) = 2*j**2. Let l(i) = -63916836*i. Calculate l(r(m)). -127833672*m**2 Let i(r) = r - 33. Let z(k) = -103434*k. Calculate i(z(n)). -103434*n - 33 Let s(q) = -q**2 + 1050. Let t(c) = -62*c + 16. Let u(v) = 8*v - 2. Let y(b) = t(b) + 8*u(b). Give y(s(f)). -2*f**2 + 2100 Let z(l) = -102*l**2 + 51*l. Let m(t) = -t**2 + t. Suppose -14*q = -9*q - 5. Let f(a) = q*z(a) - 51*m(a). Let p(k) = 3*k**2. Give f(p(y)). -459*y**4 Let v(f) = 61*f**2. Let z(t) = 3*t + 21*t - 5*t - 4*t - 10*t. Give v(z(m)). 1525*m**2 Let c(b) be the third derivative of -b**5/12 + 21*b**2. Let w(x) = -11*x. Let a(y) = -9*y. Let d(u) = 5*a(u) - 6*w(u). What is c(d(t))? -2205*t**2 Let a(b) = -12*b - 200. Let j(h) = -h - 20. Let c(z) = a(z) - 10*j(z). Let r(u) = -11*u + 14. Give r(c(l)). 22*l + 14 Let i(m) = -7*m**2. Let s = 54 - 46. Let h(x) = -4 - 10*x**2 - s*x**2 + 4. Determine i(h(w)). -2268*w**4 Let q(t) = t - 16. Let c(o) be the first derivative of 3*o**2 - 17*o - 7746. Give q(c(p)). 6*p - 33 Let i(s) = 3 - 2*s**2 - 14 + 38 - 27. Let x(r) = 808*r**2. Give x(i(g)). 3232*g**4 Let y(q) = -249*q. Let i(z) = -5*z + 18. Let b(o) be the second derivative of -o**3/6 + 3*o**2 + 136*o. Let c(k) = 3*b(k) - i(k). Give y(c(s)). -498*s Let g(j) be the first derivative of -j**3/3 + 7865. Let x(c) = c**2 + c + 1. Let i(n) = -10*n**2 + 5*n + 1. Let r(u) = -i(u) + 5*x(u). What is g(r(d))? -225*d**4 - 120*d**2 - 16 Let i(d) = 2*d**2. Let p(b) = 7*b - 3. Let l(j) = -4*j + 2. Let u(t) = 8*l(t) + 5*p(t). Let y(v) = -9*v - 26. Let z(c) = -4*u(c) - y(c). What is z(i(r))? -6*r**2 + 22 Let h(j) = -7*j**2 - 6*j + 6. Let w(r) = -5*r**2 + 19*r**2 + 13*r - 16 + 3. Let q(z) = -13*h(z) - 6*w(z). Let a(f) = 351*f - 182*f - 174*f. Calculate a(q(o)). -35*o**2 Let t(r) = -1188868*r**2. Let y(j) = -10*j**2. What is t(y(g))? -118886800*g**4 Let q(x) = -x**2 + 344*x. Let u(l) be the first derivative of l**5/60 + 47*l**2/2 + 61. Let p(y) be the second derivative of u(y). Give q(p(v)). -v**4 + 344*v**2 Let k(x) = -x**2 - 9*x - 198. Let s(l) be the first derivative of -l**3 + 5997. What is k(s(n))? -9*n**4 + 27*n**2 - 198 Let r(p) = 3*p - 80112. Let s(j) = 116*j**2. Calculate r(s(b)). 348*b**2 - 80112 Let o(m) = 206*m**2 - 423*m**2 + 204*m**2. Let v(t) = 12*t**2. Calculate o(v(p)). -1872*p**4 Let w(n) = 1101*n**2. Let z(p) = 874*p. Calculate z(w(x)). 962274*x**2 Let q(w) be the second derivative of 0 + 3*w + 1/3*w**3 + 0*w**2. Let z(y) be the second derivative of -23*y**4/12 + 1226*y - 1. Determine q(z(t)). -46*t**2 Let b(d) = 43*d**2. Let w(n) = -60080*n. Give w(b(j)). -2583440*j**2 Let z(i) = -7*i. Let x(b) = -6*b. Let a(h) = -6*x(h) + 5*z(h). Let g(o) be the second derivative of 13 - 13 - 4*o**3 + 8*o**3 + 17*o. Calculate a(g(l)). 24*l Let j(u) = 73*u - 5. Let g(m) = -2*m**2 - 24*m - 3. Let l(c) = 4*c**2 + 56*c + 7. Let p(w) = 7*g(w) + 3*l(w). Determine p(j(f)). -10658*f**2 + 1460*f - 50 Let t = -38 - -45. Let l(c) = -14 - 6*c + 7 + t. Let r(n) = 2*n. What is l(r(i))? -12*i Let i(y) = 53*y**2. Let u(g) be the first derivative of 8*g**3/3 + 920. Calculate u(i(l)). 22472*l**4 Let y(p) = 80*p - 29. Let i(b) be the second derivative of -20*b**3/3 + 13*b**2/2 - 100*b. Let l(x) = -9*i(x) - 4*y(x). Let g(j) = -2*j**2. What is l(g(q))? -80*q**2 - 1 Let h(s) = -7*s. Let l(j) = -j**2 - 40*j + 1. Let p(o) = -41*o**2 - 680*o + 18. Let a(g) = -34*l(g) + 2*p(g). What is a(h(u))? -2352*u**2 + 2 Let z(b) = 335*b. Let p(r) be the first derivative of -r**6/360 - 2*r**3/3 - 59*r + 106. Let k(l) be the third derivative of p(l). Determine k(z(j)). -112225*j**2 Let s(n) = -30810813*n. Let c(p) = -6*p**2. Give s(c(m)). 184864878*m**2 Let q(o) = -12 - 2*o**2 + 6 + 6. Let v(z) be the first derivative of -7*z**4/24 + 9*z**2/2 + 31. Let d(l) be the second derivative of v(l). What is d(q(r))? 14*r**2 Let d(l) be the second derivative of -152*l + 0*l**2 + 0 + 5/6*l**3. Let n(q) = -7*q + q + 2*q. Calculate d(n(i)). -20*i Let l = -526 + 551. Let j(y) = y + 4 - l*y + 13*y - 4. Let a(g) = -17*g**2. Determine a(j(t)). -2057*t**2 Let f(u) = -3930 + 3930 - 2*u. Let g(w) = 162*w + 2. Calculate g(f(h)). -324*h + 2 Let s(d) = -3*d. Let i(y) = -264160*y**2. Calculate i(s(l)). -2377440*l**2 Let g(h) = -2*h. Let u(s) be the second derivative of -30*s + 0 + 0*s**3 + 0*s**2 + 79/12*s**4. What is u(g(r))? 316*r**2 Let p = 16 + -31. Let b be 9/5 + 2/10. Let z(l) = 3*l. Let j(u) = 21*u. Let g(n) = b*j(n) + p*z(n). Let m(d) = -3*d. Calculate g(m(y)). 9*y Let b(f) = 28*f**2. Let k(n) be the second derivative of n**3/2 + 9*n**2 + 112*n + 20. Calculate k(b(o)). 84*o**2 + 18 Let d(a) = 4*a**2. Let x(t) = 512*t - 5118. Let i be x(10). Let r(l) be the third derivative of 0*l**3 + 0 + 0*l - 1/12*l**4 - 16*l**i. Calculate d(r(g)). 16*g**2 Let m(k) = 42*k**2 - 42823*k + 2. Let w(l) = 2*l**2. Determine m(w(a)). 168*a**4 - 85646*a**2 + 2 Let r(k) = -5979*k. Let m(y) = -44*y**2 - 242*y + 46*y**2 + 242*y. What is r(m(i))? -11958*i**2 Let m(s) be the second derivative of -s**3/6 - s. Let v(b) = b**3 + 36*b**2 + 21*b - 191. Let x be v(-35). Let w(u) = 307 - 3*u + x - 606. Calculate m(w(z)). 3*z Let f(k) be the second derivative of k**3/3 - 2*k - 517. Let r(a) = -1343*a**2. What is r(f(l))? -5372*l**2 Let l(r) be the second derivative of -r**3/6 - 3619*r. Let t(f) = -4050*f. What is l(t(d))? 4050*d Let b(c) = -7*c. Let q(p) be the third derivative of p**4/12 + p**3/2 + 77*p**2 - p. Determine q(b(a)). -14*a + 3 Let w(s) = 67*s**2. Let o = 15 - 13. Suppose 4*g - 44 = 2*g + 2*q, 5*q - 9 = -o*g
{ "pile_set_name": "DM Mathematics" }
king 2 q? 1/12 Two letters picked without replacement from {g: 4, z: 3, h: 4}. What is prob of picking 1 g and 1 z? 12/55 Calculate prob of picking 1 m and 2 t when three letters picked without replacement from wtwmwtwhwttttt. 3/52 Calculate prob of picking 1 d and 1 l when two letters picked without replacement from fffylyqyhhhfydy. 1/105 Four letters picked without replacement from {u: 2, o: 1, m: 8, i: 6, x: 1, r: 2}. What is prob of picking 1 m, 1 r, 1 x, and 1 i? 32/1615 Three letters picked without replacement from {g: 4, v: 1, u: 4, r: 1, b: 3, x: 1}. Give prob of picking 1 r and 2 u. 3/182 Two letters picked without replacement from {s: 3, i: 1, r: 2, d: 6, v: 1, p: 2}. Give prob of picking 1 p and 1 s. 2/35 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from fgffffgfgagffgfff. 11/136 What is prob of picking 1 u and 1 g when two letters picked without replacement from {d: 6, n: 7, u: 2, w: 1, g: 2, i: 1}? 4/171 What is prob of picking 2 q when two letters picked without replacement from qqqqqfqqqqqqqqq? 13/15 Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, d: 2, o: 1, l: 1, h: 1, s: 1}. 1/21 Three letters picked without replacement from {r: 1, x: 1, i: 2, a: 2, u: 2}. Give prob of picking 1 x and 2 i. 1/56 Two letters picked without replacement from {c: 2, v: 2, d: 1, i: 1}. What is prob of picking 1 v and 1 d? 2/15 Calculate prob of picking 2 k and 1 c when three letters picked without replacement from kxqhkkcihxhihkqxi. 3/340 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from rrraarefrffri. 1/13 What is prob of picking 1 j and 2 s when three letters picked without replacement from {f: 5, j: 1, o: 3, s: 1, i: 2}? 0 What is prob of picking 1 a and 1 p when two letters picked without replacement from {t: 3, v: 6, p: 1, a: 2, w: 3, g: 4}? 2/171 What is prob of picking 1 w and 1 i when two letters picked without replacement from nbniw? 1/10 Three letters picked without replacement from hxcchxhhhxhh. What is prob of picking 2 c and 1 h? 7/220 Two letters picked without replacement from bexbueuebbe. What is prob of picking 1 u and 1 x? 2/55 What is prob of picking 1 r, 2 c, and 1 g when four letters picked without replacement from grxrrrcgrcrr? 14/495 Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {x: 1, f: 2, e: 1, w: 6, u: 7}. 3/68 Two letters picked without replacement from rorrnrryonrnnynyr. Give prob of picking 1 n and 1 r. 35/136 Calculate prob of picking 4 s when four letters picked without replacement from sesssemmms. 1/42 Three letters picked without replacement from {l: 2, c: 1, a: 1, o: 2, p: 1, k: 1}. Give prob of picking 1 k, 1 o, and 1 a. 1/28 Two letters picked without replacement from {r: 5, o: 3, p: 2, k: 5, q: 1}. Give prob of picking 1 q and 1 o. 1/40 Two letters picked without replacement from {g: 4, y: 6, a: 3, d: 1}. Give prob of picking 2 g. 6/91 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {r: 2, e: 1, g: 1, l: 1, f: 1, c: 2}. 1/14 Four letters picked without replacement from ozozoooooooo. Give prob of picking 4 o. 14/33 Calculate prob of picking 1 q and 3 z when four letters picked without replacement from azqsszzszsqzzzzas. 4/85 Two letters picked without replacement from zooll. Give prob of picking 1 z and 1 o. 1/5 What is prob of picking 2 c when two letters picked without replacement from xcxcxpc? 1/7 Two letters picked without replacement from jssgosgos. What is prob of picking 1 g and 1 j? 1/18 Four letters picked without replacement from {y: 2, j: 6}. Give prob of picking 4 j. 3/14 What is prob of picking 1 h, 1 e, and 1 r when three letters picked without replacement from {e: 1, r: 1, h: 2}? 1/2 Calculate prob of picking 1 v and 2 z when three letters picked without replacement from {z: 4, u: 3, v: 9}. 27/280 Two letters picked without replacement from aaaataaa. What is prob of picking 2 a? 3/4 What is prob of picking 2 u when two letters picked without replacement from uzzzuzs? 1/21 What is prob of picking 3 p and 1 n when four letters picked without replacement from {p: 4, n: 6, w: 2, s: 3}? 8/455 Two letters picked without replacement from {g: 2, a: 1}. What is prob of picking 2 g? 1/3 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, a: 2, g: 2, s: 4}. 1/45 Three letters picked without replacement from {j: 1, p: 1, q: 2, h: 4, n: 2}. Give prob of picking 1 n, 1 p, and 1 j. 1/60 Three letters picked without replacement from xxwvwql. What is prob of picking 1 x, 1 l, and 1 w? 4/35 Three letters picked without replacement from ggggxgggxgg. What is prob of picking 1 x and 2 g? 24/55 Two letters picked without replacement from {o: 5, z: 7}. Give prob of picking 1 o and 1 z. 35/66 Three letters picked without replacement from {u: 2, m: 11, x: 5, s: 2}. Give prob of picking 1 x and 2 u. 1/228 Three letters picked without replacement from hohgwhgzzoozzh. Give prob of picking 3 o. 1/364 What is prob of picking 2 l when two letters picked without replacement from lllffffffllf? 5/33 What is prob of picking 1 i and 1 u when two letters picked without replacement from {h: 1, f: 3, p: 2, u: 3, i: 1}? 1/15 What is prob of picking 1 w and 3 y when four letters picked without replacement from yqqqyqywyqqyyqqyyqw? 28/969 Calculate prob of picking 3 k and 1 g when four letters picked without replacement from grrrrkk. 0 What is prob of picking 2 u and 1 q when three letters picked without replacement from {u: 2, q: 18}? 3/190 Two letters picked without replacement from {g: 3}. What is prob of picking 2 g? 1 What is prob of picking 2 s when two letters picked without replacement from {s: 2, z: 1, b: 1}? 1/6 What is prob of picking 1 u and 1 t when two letters picked without replacement from teuluekutu? 8/45 What is prob of picking 4 h when four letters picked without replacement from hhhhh? 1 Two letters picked without replacement from snssnnnnnsntnss. What is prob of picking 1 n and 1 t? 8/105 Three letters picked without replacement from shaahasasaaha. What is prob of picking 1 a and 2 h? 21/286 Two letters picked without replacement from {v: 1, n: 4, j: 5}. What is prob of picking 2 v? 0 What is prob of picking 2 w and 2 k when four letters picked without replacement from kkkkkwkkkkkwkkkwkk? 7/68 Three letters picked without replacement from {m: 5, o: 2, n: 6}. Give prob of picking 3 m. 5/143 Four letters picked without replacement from ooosb. Give prob of picking 1 b and 3 o. 1/5 What is prob of picking 2 w when two letters picked without replacement from ddwsswssswdwdsvw? 1/12 Calculate prob of picking 2 i when two letters picked without replacement from {g: 8, i: 3}. 3/55 Four letters picked without replacement from {l: 4, o: 10, f: 2}. Give prob of picking 4 o. 3/26 Calculate prob of picking 1 d, 1 y, 1 n, and 1 s when four letters picked without replacement from {y: 3, n: 5, s: 1, d: 4}. 12/143 Three letters picked without replacement from qqiqiqi. What is prob of picking 3 i? 1/35 Calculate prob of picking 1 t and 2 c when three letters picked without replacement from {t: 3, l: 5, q: 2, c: 2, o: 3}. 3/455 Calculate prob of picking 1 m, 1 g, and 2 p when four letters picked without replacement from ppgpgppgggpppmggggp. 27/323 Calculate prob of picking 1 w and 1 x when two letters picked without replacement from bwx. 1/3 Two letters picked without replacement from ctuucucetcyy. What is prob of picking 2 t? 1/66 What is prob of picking 1 c, 1 f, and 1 v when three letters picked without replacement from vmcmvmcmiifvccvc? 1/28 Four letters picked without replacement from bbttbtvvdbbbttvtv. What is prob of picking 1 v and 3 b? 4/119 Two letters picked without replacement from {k: 1, d: 2}. Give prob of picking 1 d and 1 k. 2/3 Calculate prob of picking 2 j when two letters picked without replacement from {t: 9, j: 2}. 1/55 Two letters picked without replacement from ssskksssssss. What is prob of picking 2 s? 15/22 Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {a: 2, e: 1, s: 1, l: 4}. 3/28 What is prob of picking 2 t and 2 b when four letter
{ "pile_set_name": "DM Mathematics" }
= -g**2 + 5*g + 16. Let z be (-17)/(-2) + ((-345)/30 - -10). What is y(z)? 2 Let c be 143/99 - ((-22)/(-9) - 2). Let q(y) = 3*y + 0 - 10*y + 1. Calculate q(c). -6 Let j(t) be the second derivative of 5*t - 3/2*t**3 + 0 + t**2 - 1/12*t**4. Let w(b) be the first derivative of j(b). What is w(-6)? 3 Let i be (17 + -8 - 8) + 3. Let o(d) = d**3 - 6*d**2 + 4*d - 3. Give o(i). -19 Suppose -3 = -4*d + 5*z + 6, 1 = -z. Suppose -d = c + 1. Let k(r) = r**2 - r. Let s(y) = -2*y**3 + 2*y**2 - 6*y - 1. Let g(u) = 5*k(u) - s(u). Determine g(c). -5 Let r(y) = -y**3 - 1. Let m(j) = 2*j**3 + 6*j**2 - 2*j + 12. Suppose 24 = x + 27. Let h(k) = x*r(k) - m(k). Suppose -2*c = -20 + 8. Determine h(c). 3 Let c(d) = -d**3 - 3*d**2 - 2*d - 3. Let x be c(-3). Let v = -1 + x. Let z(q) = q**2 - 4*q - 5 - 2 + 4 - v*q**2. Calculate z(-2). 1 Let q(i) = -i - 2. Let s(d) = -d. Let z(n) = q(n) - 2*s(n). Let o be (-6)/27 + (-32)/18. What is z(o)? -4 Suppose 5*a + 29 = 4*o, -4*o + a = -8*o - 1. Let v(x) = -19*x**3 + x - 1. Give v(o). -19 Let b(w) = w - 3. Let l = 9 + -9. Let t(k) = k**2 - 12. Let z be t(l). Let f = -12 - z. What is b(f)? -3 Let k = -93 + 90. Let n(b) = -b**2 + 4*b + 3. Determine n(k). -18 Let l(h) = 0*h + 6*h + 0 + 2 + h. Give l(6). 44 Let j(h) = 14 + 47*h + 2*h**3 - 5 - 3*h**3 + 15 - 71*h + 24*h**2. Give j(23). 1 Let c(i) be the second derivative of i**4/12 + 11*i**3/6 + 3*i**2/2 - 46*i. What is c(-11)? 3 Let y(m) = 3*m**2 - m - 3*m**2 + 3*m**2 + 1 - 4*m**2. Let u = -363 - -367. Give y(u). -19 Let x(t) be the second derivative of -t**8/1344 - t**7/630 - t**6/360 + t**5/120 - 9*t**4/4 - 33*t. Let f(d) be the third derivative of x(d). Determine f(-2). 29 Let k(x) be the second derivative of x**4/2 + x**3/3 + x**2/2 + 145*x - 2. Suppose 0 = l + 2 - 0. Let f be (-16)/12 + l/(-6). What is k(f)? 5 Let f(u) = -14 - 15 + 10 + 2*u. Determine f(11). 3 Suppose -3*t = -r - 15, 12 = -r - 3*t + 27. Let b(o) = -o**2 + 2*o - 3. Determine b(r). -3 Let x(b) = -b**3 - 5*b**2 + 6*b - 2. Let p = 60 - 58. Suppose 0 = -3*c + c + 8. Suppose 5*t - p*h = -24, c*t = -2*h + h - 27. Calculate x(t). -2 Suppose -5*s + 9 = -6. Suppose -s*r = -0*r - 3. Let d(p) = 1 - 7 + 6 + p + r. Determine d(1). 2 Let j = -14 - -17. Let l be (-1)/(1/7) + j. Let b(n) = n + 6. Calculate b(l). 2 Suppose 19*n + 111*n + 130 = 0. Let b(m) be the first derivative of -12*m**2 - 2. Give b(n). 24 Let a(h) = 2*h**2 - 11*h - 3. Let l be 1*(1 - (7 - 14)). Calculate a(l). 37 Let r(k) = -5*k + 45. Let y(a) = 3*a - 23. Let g(n) = 4*r(n) + 7*y(n). Calculate g(0). 19 Let d(q) = 12*q**3 - q. Suppose 27*m = 31*m. Suppose -5*v + 2*p + p + 1 = m, 0 = v - 3*p - 5. Give d(v). -11 Let g(n) be the second derivative of -n**6/360 + n**5/120 + 5*n**4/24 - 3*n**3 + 7*n. Let y(z) be the second derivative of g(z). Determine y(4). -7 Let n(p) = 20*p + 5. Let r(f) = -57*f - 17. Let g(w) = -11*n(w) - 4*r(w). Give g(-2). -3 Let a(s) = 2*s**2 + s - 2. Let i be a(-2). Suppose 39 = -4*y - 3*k - 44, i*k + 57 = -3*y. Let r = y - -18. Let l(j) = j**2 + 3*j + 1. What is l(r)? 11 Let c(h) be the first derivative of -2*h**5/15 + h**4/24 - 7*h**3 - 13. Let u(b) be the third derivative of c(b). What is u(-1)? 17 Let b(u) = -u**3 - 8*u**2 - 7*u + 3. Let x be b(-7). Suppose 2*l = 15 - x. Let a(r) = -r**2 + 3*r + 7. What is a(l)? -11 Let k be (-2)/8 - 135/(-60). Suppose k*p = -0*p - 10. Let l(y) = -y + 2*y - 4 - y**2 + 2*y**2 + y. Give l(p). 11 Let c(p) be the first derivative of -p**5/30 + p**4/12 - p**3/3 - 3*p**2 - 4. Let d(z) be the second derivative of c(z). Let x be (7 - 2)*12/30. What is d(x)? -6 Let b be 0/3 + ((-63)/9 - -14). Let a(g) = 2*g - 3 - 4 + 3. Calculate a(b). 10 Suppose 5 - 13 = 2*o. Let h(f) = -f**3 - 6*f**2 - 4*f + 3. Calculate h(o). -13 Suppose 5*z + 4*b - 8 = z, -3*z + b + 14 = 0. Let f be (-6)/(-21) - 4/14. Let c(g) = f*g**2 + 6*g - g**2 + 5*g - 3 - 5*g. Give c(z). 5 Let s be (-8)/10*55/(-22). Let h(q) = -16*q**2 + 2*q + 10*q**s + 2 + 5*q**2. Determine h(5). -13 Let u(p) = -p + 5. Let z be 3/(-1) - ((-13 - 1) + 6). Determine u(z). 0 Let t = -56 - -52. Let f(b) = b**3 - 5*b. Let l(h) = h**3 - 4*h + 1. Let c(w) = t*f(w) + 5*l(w). What is c(0)? 5 Let u(t) be the first derivative of 0*t**2 + 1/8*t**4 + 1/120*t**5 - 1/180*t**6 - 6 + 0*t - 4*t**3. Let j(r) be the third derivative of u(r). What is j(3)? -12 Let t(x) = 21*x + 1. Suppose -4*p = 2*p - 18. Let s be (0 - (p - 7/2))*2. Give t(s). 22 Let b(k) be the second derivative of -k**4/12 + k**3/6 + 2*k**2 + 79*k. Give b(3). -2 Let j(b) = 19*b - 20*b + 20*b**3 + 0 - 1. Calculate j(-1). -20 Suppose 3*i - 5*d = -10, -2*i = 3*i - 4*d - 5. Let u(s) be the first derivative of -1/2*s**2 + s + 2. Determine u(i). -4 Let a(w) be the second derivative of -w**5/60 + 5*w**4/24 + 5*w**3/6 - 25*w**2/2 + 2*w - 1. Let o(f) be the first derivative of a(f). Give o(6). -1 Let p(c) = -c**2 + 9*c. Let a(f) = -f - 3. Let z be a(-3). Suppose 4*r + 33 = 4*i - 3, i + 4*r - 9 = z. Let b be p(i). Let h(o) = -o**2 + 6. Determine h(b). 6 Suppose 0 = -0*r + 9*r + 36. Let w be (13/r + 1)*(-24)/(-9). Let h(v) be the second derivative of -v**4/12 - 5*v**3/3 - 4*v**2 - v. What is h(w)? 16 Let a(g) = -4*g - 1. Suppose 0 = 4*l - 0*l. Suppose l = -2*p - 2*s + 2, -3*p + 4*s = -p - 2. Calculate a(p). -5 Let y(b) = -2*b + 3. Let r be (1/2)/(5/(-50)). Let w(x) = 3*x + 20. Let k be w(r). Determine y(k). -7 Suppose -20*j + 16*j - p = -284, 5*j = -5*p + 355. Let g = 79 - j. Let y(b) be the first derivative of b**3/3 - 4*b**2 - 7*b - 1. Calculate y(g). -7 Let n be (3 + 2 + 1)/2. Suppose n = -5*o + r - 22, -32 = 3*o - 4*r. Let d(q) be the first derivative of -q**3/3 - 3*q**2 - 2*q - 2. Determine d(o). 6 Let w(q) be the third derivative of -q**5/60 + q**4/4 - q**3/6 + 4*q**2. Let p(b) = -2*b - 16. Let h be p(-8). Suppose 5*n - 10*n + 30 = h. Give w(n). -1 Let f(n) = -n. Let z(l) = -l - 1. Let x(c) = -f(c) - 2*z(c). Let k(b) = b**2 + 5*b + 2. Let q be k(-6). Let u = -10 + q. Give x(u). -4 Let c(u) = 2*u + 18. Let f = 746 + -758. Determine c(f). -6 Let u(l) = 2*l + 1. Suppose -j - 9 = -4, 47 = -3*b - j. Let w be b/1*3/6. What is u(w)? -13 Let p(y) = -7*y**2 + 2*y - 1. Let l(f) = -f**2 + 38*f - 216. Let u be l(31). Calculate p(u). -6 Let b(q) = -3*q + 3*q - 4*q + 4. Let s be 7*(0/(-4) + 12/14). Suppose 2*n - 26 = -5*p, -4*p - 5*n + s*n = -13. Calculate b(p). -12 Let x(v) = -4*v**2 + 8*v - 8. Suppose 648*h = 645*h + 3. Determine x(h). -4 Let b be (8 - 35)/(-3) + 4. Let n(v) = -v + 12. Calculate n(b). -1 Let v(p) be the third derivative of p**5/60 - p**4/4 + 5*p**3/6 - 52*p**2. Determine v(5). 0 Let d(r) = 10*r - 4 - 12*r + 2. Let k = -132 + 135. What is d(k)? -8 Let z(c) = -9*c**2. Let q be (-3)/(-3)*(-4 - (-3 - 0)). Determine z(q). -9 Let p(x) = -11*x + 69 + 10*x - 66. Give p(-7). 10 Let a(t) = -2*t**3 + t**2 - 2*t + 2. Let q = -311 - -312. Give a(q). -1 Let n(u) be the second derivative of 23*u**5/10 + u**3/6 - 36*u - 2. Calculate n(-1). -47 Let g(j) = -2*j**2 - 14*j - 18. Let u = 804 - 810. Determine g(u). -6 Let d(y) = y**3 + 4*y**2 - 3. Suppose 3*m + 2*w - 5 = 47, -4*w = 3*m - 56. Let b be (4 - 4)/5*(-5)/(-15). Let f be b - (-7)/((-28)/m). What is d(f)? -3 Let u(g) be the third derivative of g**5/60 + g**4/3 + 4*g**3/3 - 15*g**2. Let x(l) = -l**2 + 8*l + 5. Let q be x(7). Suppose 3*f + 9 = -q. Determine u(f). 1 Let y be -10*(2 - (-10)/(-4)). Let q(d) = d**3 - 9*d**2 + 8*d + 2. Let m(z) = -z**3 + 8*z**2 - 7*z - 2. Let a(v) = y*q(v) + 6*m(v). Determine a(3). -8 Let b(o) = o + 19. Let z be 55/(-4) + -1 - (-18)/(-72). Let g be b(z). Let f(w) = -2*w**2 + 5*w + 2. What is f(g)? -10 Let d(f) = 1133 - 3403 + 2*f + 1134 + 1137. Let x = -4 - -6. What is d(x)? 5 Let t(y) = 2*y**3 - 14*y**2 + 5*y - 22. Let k be t(7). Let a(l) = -l**3 + 12*l**2 + 13*l + 2. Calculate a(k). 2 Suppose -16 = -5*y + l + 9, 0 = -2*y + 2*l + 10. Let u be (1/(-2))/(y/(-20)). Let k(d) = d**3 - 3*d**2 - d - 1. What is k(u)? -7 Let t(o) = 105*o - 210*o + 106*o + 4 + 6. Give t(5). 15 Let p(j) = 59 - 50 - 2*j + 2*j + 2*j. Suppose 4*d + 0*d = -24. What is p(d)? -3 Let j(t) = -7*t**3 - 38*t**3 + 46*t**3 + 3*t**2 - 1. Let k = -1 + -1. Let w be j(k). Let a(i) = -i**2 + 3*i - 4. What is a(w)? -4 Let z(y) be the first derivative of y**4/4 - y**3 - 5*y + 1. Suppose b + 38 = 3*c, -3
{ "pile_set_name": "DM Mathematics" }
for r. -2 Suppose -6*i - 18*u + 14*u = -204, 3*u = i - 1. Solve 0 = -2*v + 5*d - i, -6*v + 9*v - 2*d = -31 for v. -9 Let h be (-175)/(-4) + 3*(23/4 - 6). Solve 0 = 3*y - x - 32 + h, 2*y - 3*x = 2 for y. -5 Let o be 460/207 + -3*(-2)/(-27). Solve o = -32*k + 34*k, -4*p + 15 = -k for p. 4 Suppose -30 = -15482*l + 15476*l. Suppose 88 = 3*f + 13. Solve 4*k = l*h - f, -h = k + 2*h + 2 for k. -5 Suppose 0 = 80*i - 106*i + 78. Let m be 2*(14/4 - 2). Solve -2*w - 2 = -4*g, i*g + 2*g - 19 = -m*w for g. 2 Suppose -367 + 382 = x. Solve 2*l + 4*c = -16 + 14, -5*c + x = -l for l. -5 Let z(x) = -6*x + 24. Let l be z(6). Let p be (2/4)/((-3)/l). Solve 0 = -5*h - 2*r + 22 - 2, 3*r = p*h - 8 for h. 4 Suppose g + 3 = 0, s + 6*g - 52 = 2*g. Suppose -76 = -5*q - 3*a, -5*q + 5*a = -s - 36. Solve 5*h - 5*v = 3 + q, -16 = -3*h - v for h. 5 Suppose 0 = 3*r + 9, -7*v - 4*r - 32 = -12*v. Solve -v*q = x + 16, -4 = 9*x - 5*x + q for x. 0 Let m be (-42)/(-6) + -1*3. Let s = -267 + 435. Suppose 14*b + s = 490. Solve -2*a - b = -5*w, 0 = -4*a - 6*w + m*w - 10 for a. -4 Suppose i - 15 + 12 = 0. Suppose -i*d = 2*u - 249, 261 = 3*d + 3*u + 15. Let t = 85 - d. Solve 3*a = -3, s + 5*a + 7 = -t*s for s. -2 Let r be 0 + 2/2 - -6. Suppose 21 = 7*b - r. Solve b*z - 2 = j + 1, 4*j - 4 = 0 for z. 1 Suppose 0 = -k + 8 - 5. Suppose k*h + 15 = 2*v + 2, 5 = -5*v - 5*h. Suppose -2*w = v*w + w. Solve z + w*z - 5 = -3*g, -4*z + 5*g = -3 for z. 2 Suppose 95 = -13*r + 32*r. Solve -12 = -4*q + 3*d, -r*q + d + 5 = 1 for q. 0 Suppose -d = -t + 10, 4*t - d + 0 = 25. Suppose 3*q = -5*i + 3*i + 17, -4*i + t*q + 45 = 0. Solve 2*n + i = 4*l, -4*n + 0*l = 2*l for n. -1 Let u(w) be the first derivative of -4*w**3/3 + 73*w**2/2 - 12*w + 94. Let t be u(18). Solve -3*a + 2*v = -21, -5*v + t = -5*a + 46 for a. 5 Let k = -32 - -36. Let g = -80 + 86. Suppose -4*p = 4*s + 8, -g*s + 2 = -s - p. Solve s = 2*z - 7*z + u - 19, 4*z = -2*u - k for z. -3 Suppose -f + 7 = 2*y, -23*f = -24*f + 5*y. Suppose -4 = 22*b - 21*b. Let p be 0*1/b*2. Solve -4*v + 8 = f*u - 5, p = -3*u - 5*v for u. 5 Suppose -y + 33 = z, 3*z + 2*y = -5 + 100. Let f = z + -7. Solve 0 = -2*q + 2*d, 4*q + d = f + 3 for q. 5 Let k = -14 + 20. Let d be (-2)/(-3)*3 - (970 + -970). Solve 4*q + d*x + 12 = 0, -3*q + q + 3*x - k = 0 for q. -3 Let g be (-29)/58*5*-2 + 0. Suppose 3*l - y = 42, 3*l - g*y = 6*l - 42. Solve 3*f - 4*r = f - l, -4*f + 5*r = 19 for f. -1 Suppose -4*g + 9 = d, -7 = -3*d + 2*g + 6. Suppose 20 = 11*y - 24. Suppose y*a - 45 = a. Solve -2*n + d*z - 14 = 7, -a = 2*n - 3*z for n. -3 Let g(x) = -x**3 - 2*x**2 - 4*x - 5. Let p be g(-2). Solve 2*w - 1 = p*b, 6*b = b - 4*w - 9 for b. -1 Suppose -14*l - 4 = -16*l. Suppose -4*v + l + 17 = -5*z, 2*v + 1 = -z. Solve -p = -3*m - v, -4*m + 3*m - 2*p = -2 for m. 0 Suppose 3*h + 3*s = 27, 0 = -101*h + 103*h + 3*s - 21. Solve 3*r = h, -9*r + 7 = -y - 4*r for y. 3 Let z = -13854 + 13858. Solve 3*r + 4 = 5*u, z*r = 5*u + 10 - 12 for r. 2 Let v(f) = 10 - 13 + 22 - 3*f. Let w be v(5). Suppose 5*x = 2*n + 25, w*n = -3*x + 5*x - 10. Solve -2*s + m + 4 + x = 0, 0 = s + 3*m - 1 for s. 4 Let o = 3109 - 3101. Let q(s) = s**2 - 9*s + 10. Let h be q(7). Let y = h - -8. Solve y*b - 4 = 2*z, -2*z - 3 - o = 3*b for z. -4 Let a(o) = o**2 + o - 2. Let b be a(8). Let j be 1232/b + (-4)/(-10). Suppose -9*l + 12*l = j. Solve -l*x = 5*r - 2*x + 6, -2*r - 4*x - 12 = 0 for r. 2 Let d(c) be the third derivative of c**6/120 + 2*c**5/15 - 19*c**4/24 + 5*c**3/2 + 103*c**2. Let s be d(-10). Solve p + 1 = -t, p = t + t + s for p. 1 Let b be (1179/262)/(6/8). Solve -5*q - u + b = 0, -u - 2*u = 5*q - 8 for q. 1 Suppose 0 = 3*v + k - 71, 0 = v - 2*k - 16 - 10. Let y be -1 - (-3)/(18/v). Solve 3*d - 4*r + 2*r = y, -5*r + 21 = 2*d for d. 3 Let m(g) = -g**3 - 28*g**2 - 51*g - 646. Let k be m(-27). Solve -2*a = r - k, -3*r + 4*r - 5*a = -5 for r. 0 Let p = 1338 + -1297. Solve 0 = -2*c + 7*c + 3*h - 37, 4*h - p = -5*c for c. 5 Let t = -1 - -7. Let q = -2 + 2. Suppose -4*s + 25 - 9 = q. Solve w + 5*u = t*w + 10, 15 = 3*w + s*u for w. 1 Let x be (-14)/287 + (-2749)/(-41). Solve -5*t - 1 = -2*d, -x = 3*d + 2*t - 78 for d. 3 Let k(t) = 2163*t - 12974. Let o be k(6). Solve o*w + 5*v + 23 = 0, -2 = 4*w - 2*v - 0*v for w. -2 Let p(d) = 2*d**3 - 18*d**2 - 18*d - 18. Let q be p(10). Solve -x = 3*a - 7*a + 7, -5*x = -q*a - 1 for a. 2 Let z(h) be the first derivative of h**4/4 + 3*h**3 + 13*h**2/2 - h + 58. Let m be z(-7). Solve -3*k - 13 + m = -j, -4*j + 12 = 4*k for j. 4 Suppose 0 = -36*f + 32*f + 20. Suppose -40 = -f*z - 25. Solve 0 = z*i - h - 19, 3*h - 3 + 25 = 2*i for i. 5 Let z be (1 + 0)/((-2)/(-8)). Suppose 7*t + 37 = 2. Let i(u) = u**3 + 6*u**2 - 2*u - 5. Let v be i(t). Solve v = 5*m + 4*w, -m - z*w = -4*m - 14 for m. 2 Let q(k) = 19*k + 4 - 3*k**2 + k**2 - 17*k. Let g be q(-1). Solve -2*r = 3*w - 21, -w + g*r + 3*r - 4 = 0 for w. 5 Let o be (-1)/4*2448/(-153). Solve 4*q - o*j + 20 = 0, -2*j + 4 = -4 for q. -1 Let a(y) = -1867*y - 13064. Let u be a(-7). Solve -q - 9*i + 7*i - 3 = 0, -u*q + 45 = -5*i for q. 5 Let f be (-5)/10*-22 - 8. Solve r - 9 = n, 0 = -7*r + 10*r + 3*n + f for r. 4 Suppose -348 = -8*l - 50*l. Let o be (1 + 8/(-4))/(l/(-18)). Solve -4*c + o*b = -14, 4 = 2*b - 0*b for c. 5 Suppose 5*x - 2*y = 121, -49*x = -44*x + 5*y - 135. Let g be (x - 15)*3/6. Solve -3*d = -5*d + 2, 0 = -p - 5*d + g for p. 0 Suppose 11892*p + 60 = 11895*p. Solve -5*t - p = -5*q, -2*q - 7 + 3 = 2*t for q. 1 Suppose -23 = -3*l - 11. Suppose 4*u - 6 = -3*g, 9 = l*u + 4*g + 1. Suppose -3*v + 5*n - 8 = u, 2*n - 19 = -5*v + 9. Solve m - v*z = 11, 3*z = -3 - 3 for m. 3 Suppose -4*t + 31 = 2*q - 177, -3*t = q - 156. Solve -53*f + t*f - 3 = -4*b, b - 12 = 4*f for f. -3 Let d(g) = 2*g**2 + 12*g + 3. Let n be d(-6). Let f(a) = a + 67. Let y be f(-47). Solve n*r - 5*i = -2*r, y = -5*i for r. -4 Let m(u) = 2*u**3 + 172*u**2 + u + 105. Let b be m(-86). Solve -35*v + b = -30*v - y, -12 = -4*v + 4*y for v. 4 Let p(j) = -j**2 + 5*j - 4. Let n(w) = -2*w**2 - 29*w - 11. Let t be n(-14). Let r be p(t). Solve -4*k = -5*q, k + r*q + 13 = -0*k for k. -5 Suppose 14*b = 801 + 6955. Let w = -549 + b. Solve w*f - 5 = -5*v, -3*v + 0*v - 12 = 0 for f. 5 Suppose 186*x - 312*x = 366*x - 2460. Suppose -3*m + 2*j + 15 = -j, -4*j = 8. Solve x*c - m*i + 8 = 0, 2*i - 4 = 3*c + 1 for c. -1 Let h be (1/(3/(-15)))/(-1). Suppose -10 = 2*m, -4*k - 170*m = -172*m - 18. Solve -k*u - 3 + 25 = -3*p, -3*p + h*u = 37 for p. -4 Let t = -6121 + 6131. Solve -2*b - q = -2, -5*b + 14*q - 9*q = t for b. 0 Let x(o) = 2*o**3 + 15*o**2 + 10*o - 43. Let v be x(-6). Solve 5*h - 5 = -5*w, -w = -3*w + 5*h - v for w. 0 Let d = -1326 - -1331. Solve d*t - 4 = -0*t + o, 0 = -t - o + 2 for t. 1 Let p = 246 + -249. Let y be (-5)/10*(-9 - p). Solve 4*j - y*q = 4, q - 10 = -4*j + 10 for j. 4 Suppose l + 4*l = 4*c + 16, 2*l - c - 4 = 0. Suppose l = 5*g - 37 - 48. Suppose 0 = 6*q - 77 + g. Solve 3*u = 5*f + 33 - q, -u - 15 = 4*f for f. -4 Let b = 81 - 76. Let t(k) = k - 4. Let g be t(4). Suppose 0 = 6*o - g - 18. Solve -4 = -b*n - 3*l, 3*n - n - 7 = -o*l for n. -1 Suppose 9*j - 4*j - 27 = 4*z, -3*z + 34 = 4*j. Let s be j/28 - (0 - 21/12). Solve 5*o = 3*o + s*d, -2*d = -8 for o. 4 Suppose 6*g + 16*g = -11*g + 330. Solve 2*j - 3 = r, 4 = -g*j + 12*j for r. 1 Suppose -2*f + 3*w = 68 - 90, -3*f = 4*w + 18. Solve -27*y + 22*y - f*k = -19, -26 = -4*y + 2*k for y. 5 Let n(f) = 63*f - 2076. Let u be n(33). Solve 0 = -3*r - 50*b + 51*b + 12, -u*r + 21 = 2*b for r. 5 Let p(c) = c**3 - 77*c**2 - 325*c + 84. Let w be p(81). Solve 3*m - 21 = -6, -3*m = w*z - 3 for z. -4 Let b(a) = -a**3 - 3*a**2 - 69*a + 753. Let j be b(6). Solve -j*q = 5*g - 19*q + 36, 12 = g + 4*q for g. -4 Let b(z) = -3*z**2 + 11*z + 19. Let v(y) = -y**2 + 4*y + 7. Let a(r) = -3*b(r) + 8*v(r). Let h be a(3). Solve -4*d - h*g = 11, -3*g = d - 4*d - 15 for d. -4 Suppose -5*b + 909 = 34*b + 90. Solve -3*v + b = 3*u, 4*v + 6*u = 4*u + 24 for v. 5 Let a be 0*(36/(-16))/(-9). Suppose 5*j - 4 = 4*j, -5*b - j + 24 = a. Let k be 2/(b + 10/(-3)). Solve -2*t = k*v - 2, -5*t = -2*v - 0*v - 24 for v. -2 Let b be ((-144)/(-60))/(2/10). Suppose 0 = -3*v + b - 12. Suppose v = 5*l - l - 5*d - 20, -2*l = 2*d + 8. Solve l = y - 2*y + 2*p - 8, -3*p = -6 for y. -4 Suppose -j =
{ "pile_set_name": "DM Mathematics" }
2*x, -10 = -2*x - 0*x + 4*t. Solve -m = -a*m - x for m. -5 Let b = -110 - -114. Suppose 0 = -5*r - 2*a + 7*a - 5, -5*a + 5 = 0. Suppose 0 = -p - r*p + 5. Solve 11 + b = p*u for u. 3 Suppose -b + 12 = 2*s - 0*s, -b + 4*s - 12 = 0. Solve -1 + b = 3*r for r. 1 Let p be (-332)/(-36) - (-4)/(-18). Let b be (-3)/p + 68/6. Let c = 19 - b. Solve c = -5*f + 33 for f. 5 Let y(m) be the third derivative of m**5/60 + 7*m**4/24 - m**3/6 + 2*m**2. Let f be y(-8). Let v = 11 - f. Solve -2*g + 2 = -v*g for g. -1 Let x(q) be the first derivative of -7*q**2/2 - q - 3. Let a be x(-1). Suppose 2*r - a = -r. Solve -1 = -f - r for f. -1 Let l(g) = 7*g**2 + g - 5. Let r(s) = s**2 + s - 1. Let x(p) = l(p) - 4*r(p). Let d be x(3). Suppose u - 6*u + 25 = 0. Solve -u*f + 2 = d for f. -3 Suppose 4*a + 2*h = -3*h + 22, 2*h = -4*a + 16. Solve 0*j = a*j for j. 0 Let w(t) = 3*t**2 + 2*t + 9. Let c(h) = 5*h**2 + 3*h + 17. Let v(j) = -4*c(j) + 7*w(j). Let g be v(-4). Solve 1 + g = -2*x for x. -2 Let z(d) be the first derivative of -d**4/4 + 5*d**3/3 - 2*d**2 + 2*d + 3. Let g be z(4). Solve g*t + t - 9 = 0 for t. 3 Suppose 8 = 2*b + 2*b. Suppose -c + b = -0. Suppose -c = -3*s + 4. Solve 1 = -p - s for p. -3 Let o(u) = 3*u + 7. Let q(b) = 2*b + 4. Let d(v) = -3*o(v) + 5*q(v). Let w be d(1). Suppose -2*z - 3*z = w. Solve -3 = -z*l + l for l. -3 Let c be -6 - 2/(-1) - -9. Solve 0*l = -c*l + 20 for l. 4 Suppose -5*d = -20 + 10. Solve 8 = -d*q - 2 for q. -5 Suppose 2*p + 0*p + 10 = 0. Let q = 8 + p. Suppose -l = -q*l + 4. Solve l*a - a = 3 for a. 3 Suppose -3*l + 2*c = -1, 18 = 5*l - c + 7. Suppose 2 = -l*a + 14. Solve -26 + 6 = a*k for k. -5 Let a(g) = g**2 - g - 4. Let u be a(-2). Solve 0 = -u*o + 6 + 2 for o. 4 Let h(c) = -c + 8. Let s be h(6). Suppose 5*i = 15, 8*i = -3*p + 3*i + 15. Let q be (p + 0 - 0)/1. Solve -7*l + s*l = q for l. 0 Let r be 10/55 + 196/11. Let f = -9 + r. Solve -3*s = -0*s - f for s. 3 Suppose 0*r - 2*h - 2 = 2*r, -4*h = -2*r + 28. Solve 12 = -r*z - 4 for z. -4 Let x = 7 + -14. Let j = x - -11. Solve 7*w = 3*w + j for w. 1 Suppose -5 + 25 = 5*b. Suppose 0 = p - 6*p - 4*u + 30, 3*p + 5*u = 31. Suppose -5 = -p*r + 3. Solve 0*w + r*w = b for w. 1 Let v be 34/(-4) + (-1)/(-2). Let l be ((-4)/6)/(v/24). Solve -l*h + 3*h = -3 for h. -3 Let c(u) = 8*u - 3*u - 3*u. Let d be c(3). Solve 4*i + d = 14 for i. 2 Suppose 10*q - 68 = -8. Solve 0 = 3*c + q + 3 for c. -3 Suppose 0 = -w - w + 10. Let r(b) = -b**2 + b + 9. Let n be r(0). Let a = n - w. Solve a*v - 5 = -v for v. 1 Let a(m) = 2*m - 5*m + 8 + 2*m. Let i be a(6). Suppose -q = -i*q - 2*v + 5, -2*q + 10 = -2*v. Solve 9*o = 4*o - q for o. -1 Suppose 3*z = 5*d - 24, -z = 5*d - 6*z - 30. Solve d*h + 20 = 7*h for h. 5 Let y = -57 + 62. Solve 14 - 4 = y*z for z. 2 Let x(v) = -v + 19. Let o be x(14). Solve h = o*h - 16 for h. 4 Let z = 1 - -2. Suppose -150 = -5*o - 15. Let q be (-6)/o + (-22)/(-18). Solve 0 = -2*t + q - z for t. -1 Suppose -4*p + 52 = -2*o, -22 = -3*p - 4*o + 28. Suppose 2*k = -2*s + p - 4, 2*k - 13 = -3*s. Solve l = -1 + s for l. 2 Suppose 2*d = -3*p + 62, 0 = -2*d + p - 6*p + 70. Let g(f) = -2*f**2 + 14*f - 2. Let o be g(6). Let m be (-68)/(-14) + o/70. Solve -d + 5 = -m*u for u. 4 Let g = 145 + -124. Let o(c) = c**3 + 4*c**2 - 3. Let k be o(-3). Let m be (-11 - -2)/(k/(-4)). Solve m - g = 5*n for n. -3 Let u(t) = t**2 - 7*t - 6. Suppose 0*o - 8 = -o. Let k be u(o). Solve -9 = z + k*z for z. -3 Let l = 2 - 2. Suppose 0 = -2*m + 6*m + 12. Let v = m - -7. Solve -6*q + v*q - 10 = l for q. -5 Let l be (-4)/(-10) + 84/(-10). Let n = -6 - l. Let b be (2 - -2)/(10 + -6). Solve -n*q = -q + b for q. -1 Suppose 15 = -c + 6*c. Solve c*d + 0 = 12 for d. 4 Let i be (-1 + (-1 - -2))/(-2). Solve -w - 4*w = i for w. 0 Suppose 3*l = -2*l - 5. Let j(w) = -5*w**2 - 1. Let p be j(l). Let c(i) = i + 8. Let x be c(p). Solve -x*k + 2 + 4 = 0 for k. 3 Let m = 6 - 4. Suppose 5*k = -2*f + f + 100, 0 = -3*k + 4*f + 60. Solve -m*x + k = 3*x for x. 4 Suppose 0*t = 2*t - 2. Let v = t - -1. Solve k = v*k + 4 for k. -4 Let i(m) = 2*m - 10. Let f be i(7). Solve f*y = -13 + 1 for y. -3 Suppose 15 = 3*m - 7*s + 4*s, m = 4*s - 4. Solve 12 = 4*i - m for i. 5 Let y(p) = -p**2 - 4*p + 13. Let s be y(-6). Solve f + 2 + s = 0 for f. -3 Suppose 4*i - 312 + 48 = 0. Suppose 0 = -5*u, -4*n - 26 = 5*u - i. Suppose -s - n = -3*j, j + 0 = -2*s + 15. Solve -j*y - 1 = -6 for y. 1 Let b(p) = 6*p**2 - 2*p + 1. Let m be b(1). Solve 5*l + m = -10 for l. -3 Let p be (0/2)/(-1) - 0. Suppose 2*i - 5 = w - 2*w, p = -3*i + w - 5. Solve i = -2*b + 6*b for b. 0 Suppose 5*k - 12 = 4*j, -3*j = -1 - 5. Solve -k*d = -3*d + 4 for d. -4 Let i = 4 - 1. Suppose -3*d - 21 = -i*n, d - 2*d + 18 = 4*n. Solve 0 = -0*l - n*l - 5 for l. -1 Let c(j) = -j**2 - 6*j + 59. Let v be c(5). Solve 4*u = -0 - v for u. -1 Let v(x) = -2*x - 2. Let d be v(-3). Suppose -u - d*m - 14 = -0*m, -u + 4*m = -18. Suppose u*y + 2*y = 0. Solve w + w = y for w. 0 Let f(u) = u**2. Let x be f(2). Suppose -3*p + 21 = x*h, -3*p + 0*h + 4*h = -21. Let q(l) = l**2 + 3*l - 4. Let g be q(-4). Solve -2*s + 3 + p = g for s. 5 Let t(f) = -f**3 - 2*f**2 - 4. Let j be t(-5). Suppose 0 = o - 4*p, 2*o - j = -p - 26. Solve 3*k + k = -o for k. -5 Let d be (12/5)/((-3)/15). Let m = d - -13. Solve -2*c = 5 + m for c. -3 Suppose 6*h = h + 140. Suppose 0 = -0*i - 2*i + 8, -4*i + h = 3*p. Suppose -p*z = -6 - 10. Solve 0 = -z*l - 2 + 6 for l. 1 Suppose -2 + 26 = 4*u. Let s = -4 + u. Suppose -4 = f - 7, 4*z + 2*f = 6. Solve z = s*d + 6 - 0 for d. -3 Let p(x) = -x**3 + 3*x**2 + 3*x - 4. Let l be p(3). Suppose 0*i = i. Suppose 3 + 6 = 3*h + 3*j, i = -j - 1. Solve -3*z + l*z = h for z. 2 Let x = 13 + 7. Solve 0*f - 5*f = -x for f. 4 Suppose -5*l = 3*r + 5, r = -2*l + 2*r + 9. Suppose -l*o - 2*o - 2 = -3*v, 4*v + o = -10. Let f(i) = -2*i. Let q be f(v). Solve q*k + 5 = 17 for k. 3 Let t = -79 - -84. Let d be (-2)/(-6) + (-2)/(-3). Solve 6 = -t*j + d for j. -1 Let y be (-5 - 1)*(-3 - -4). Let t be (4/y)/((-4)/18). Suppose -2*l = -f - 2, -3*l = -4*f - 5 - t. Solve l = -0*r + 3*r + 12 for r. -4 Let j be 2/(-4)*2*21. Let u = j - -29. Solve u*a - 3*a + 15 = 0 for a. -3 Let g = 29 - 20. Let w(t) = -t + 13. Let l be w(g). Let p(c) = 2*c + 1. Let y be p(l). Solve y = -5*b - 11 for b. -4 Let u(p) = -p**3 - 5*p**2 - 4*p - 1. Let r be u(-3). Let f = r + 17. Solve -a - f = a for a. -5 Let m(a) = 4*a + 4. Let o be m(4). Let u = -2 - -2. Suppose 4*x - 28 = 4*w, -2 = -u*w + w. Solve -x*g + o = -10*g for g. -4 Suppose -r = o - 2*r - 2, 0 = -3*r. Solve -2*x + 4 = o for x. 1 Let t be (-109)/(-7) + 0 + 15/35. Solve -t + 10 = -3*h for h. 2 Let o(z) = z**2 + 3*z + 3. Let l be o(-2). Solve -5*w + 4 = -l for w. 1 Let m be (54/(-14) - -3)*7. Let k = 10 + m. Let q be 18 - ((k - -1) + -2). Solve 2*p = -p + q for p. 5 Suppose 2*a = -0*a + 6. Suppose a*v + 11 = 5*j, -2*j + 26 = 3*j + 2*v. Let t = 50 - 47. Solve -j = -2*y + t*y for y. -4 Let m(r) = -r**3 - 5*r**2 - 9*r - 6. Let b be m(-3). Solve -b*j = -j for j. 0 Let j be -1*(2 + -5) - 13. Let b be ((-9)/5)/(3/j). Solve 0 = -2*y + b*y for y. 0 Let n = -4 - -5. Let m be 0/(n*(-2 - -1)). Suppose 2 = p - m*p. Solve -p*j = 2*j - 20 for j. 5 Let k(j) = -j**2 + 3*j - 1. Let n be k(3). Let a(x) = 2*x**2 - 1. Let s be a(n). Suppose 2*z - 7 = 2*t - s, -5*z = t - 9. Solve -4*i + 2 = -z*i for i. 1 Let c = -42 - -42. Solve -j + c*j + 1 = 0 for j. 1 Let g(x) = -4*x + 10. Let o be g(2). Solve -4*z + 5*z = -o for z. -2 Let r be 15/(-12)*6*-2. Suppose 0 = -5*g + 5*z + r, 2*z + 4 = -2. Solve g*b - 2*b = 4 for b. -2 Let y be 1*(-3)/9*-33. Let a = 13 - y. Solve -l + a = l for l. 1 Let x = 1 - 2. Let h be 0 + 4 + (-2 - x). Let y be h - (-2 + 2)/(-3). Solve -4*i = -y*i for i. 0 Let b be (-15*1)/(2/(-2)). Let o = -18 + 27. Let p = o + b. Solve 5*s - 4 = -p for s. -4 Let p = -2 - -6. Let f(l) = l**2 - 5*l + 4. Let k be f(3). Let r be (k/p)/((-2)/24). Solve 2*i = r*i for i. 0 Let s(h) = 2*h**3 - 11*h**2 - 3*h - 13. Let b be s(6). Solve b = -3*u - 7 for u. -4 Let g(a) = a**3 + 2*a**2 - 1. Let i(s) = -2*s**3 + s. Let b be i(-1). Let j be g(b). Let c be 16/5 - (-1)/(-5). Solve -j*t = t + c for t. -1 Let v(h) = -h**2 + 9*h + 7. Let i be v(6). Let o(k) = -k**3 - 3*k**2 - 8*k - 18. Let q be o(-3). Solve 0 = -b + q*b - i for b. 5
{ "pile_set_name": "DM Mathematics" }
5*k + k + d = 0. List the prime factors of 8/(-24) + k/6. 5 Let h(s) be the first derivative of 7*s**2 + 8*s - 1/3*s**3 - 5. List the prime factors of h(13). 3, 7 Suppose 3*r + 10 = 37. Let o = r + -1. List the prime factors of o. 2 Suppose -5*f + 26998 = -2*b, 3*f - 14*b + 12*b - 16198 = 0. List the prime factors of f. 2, 3, 5 Let b(y) = 35*y**2 + 29*y - 257. What are the prime factors of b(9)? 17, 167 Suppose 0 = -m + 6*s - 2*s, -5*s - 17 = 3*m. What are the prime factors of (-167 + m + -4)*-1? 5, 7 Let h be (0 + 2)/2 + 12. Let j(o) = o**2 + 3. Let q(r) = -2*r**2 - r - 6. Let z(b) = h*j(b) + 6*q(b). List the prime factors of z(6). 3 Let d = 84 + -80. Suppose -236 = -j - k, -1194 = d*j - 9*j + 2*k. What are the prime factors of j? 2, 7, 17 Let d be 4/(-32) + (-50)/(-16). Let a be -7 - -1 - 0/d. What are the prime factors of a/(-4 - 44/(-12))? 2, 3 Let p(w) = w**2 - 8*w + 14. Let i(c) = -1. Let z(o) = -5*i(o) - p(o). What are the prime factors of z(6)? 3 Let u = 27 - 22. Let w(n) = 5*n + 5. What are the prime factors of w(u)? 2, 3, 5 Suppose 10*a - 8*a = i - 2627, -5*i = -4*a - 13153. List the prime factors of i. 2633 Suppose 23*a = 26*a - 987. What are the prime factors of a? 7, 47 Let v = 4071 - 2395. List the prime factors of v. 2, 419 Let t = -1307 + 3916. List the prime factors of t. 2609 Let j = 2020 + -906. What are the prime factors of j? 2, 557 Suppose -8964 = -207*c + 203*c. What are the prime factors of c? 3, 83 Let g(u) = -u**3 + 6*u**2 + 7*u + 3. Let p be g(7). What are the prime factors of (p + (-12)/2)*(-23)/3? 23 Suppose -z = -6*z - 40. What are the prime factors of 14/z*(-36 - 0)? 3, 7 Let t(x) = 582*x**2 - 2*x - 2. List the prime factors of t(-1). 2, 3, 97 Let h = 228 - 100. Let u = h - -48. What are the prime factors of u? 2, 11 Let d = 795 - 523. List the prime factors of d. 2, 17 Let i = 207 + -143. List the prime factors of i. 2 Suppose 0 = -3*h + 49*o - 53*o + 7100, -4734 = -2*h - 2*o. What are the prime factors of h? 2, 37 Let j(u) = 5*u**3 - 8*u + 16. What are the prime factors of j(3)? 127 Let z = 583 - 69. List the prime factors of z. 2, 257 Let x = -13 - -18. Suppose 2*z = x*z. Suppose z = l - 13 + 7. List the prime factors of l. 2, 3 Suppose -5*c + 20605 = -2*y - 0*y, -c - 2*y = -4133. List the prime factors of c. 7, 19, 31 Suppose -9*c - 10176 = -62*c. List the prime factors of c. 2, 3 Suppose -2*y + 4835 = 5*n + 1612, -5*y = 5*n - 8095. What are the prime factors of y? 2, 7, 29 Suppose 7*q = 8*q - 54. Suppose 0 = b - 158 + q. List the prime factors of b. 2, 13 Suppose 3*j + 4 = 5*a, a - 5*j = -4*a. Let y be (-57)/5 - a/(-5). Let k = -6 - y. List the prime factors of k. 5 What are the prime factors of ((-235)/(-20))/((-3)/(-576))? 2, 3, 47 Let q(a) = -a**2 + 4*a + 29. Let z be q(7). Let k = z - -12. List the prime factors of k. 2, 5 Suppose -13*z + 11*z + 3002 = 0. List the prime factors of z. 19, 79 Suppose 0 = 4*n + 5*v - 225, -3*v + 0*v = 2*n - 115. Let s = n - 22. What are the prime factors of s? 2, 7 Let t = 230 - 120. Let c(s) = -73*s + 9. Let p be c(-1). Suppose 0 = -3*a + t + p. List the prime factors of a. 2 Suppose 0 = -3*l - 4*a + 4716, 0 = 64*l - 63*l - a - 1565. List the prime factors of l. 2, 7 Suppose -r + 10 = 3. Let y = -8 - -5. Let a = r - y. List the prime factors of a. 2, 5 What are the prime factors of ((-99)/(-9) - 14) + 1*1772? 29, 61 Let l be (4 - 5)/(3/12*-1). Suppose -l*h - 93 = -5*h. What are the prime factors of h? 3, 31 Suppose 0 = -3*c - 15, 12 + 98 = -4*u + 2*c. Let o = u + 24. Let d = 55 - o. List the prime factors of d. 61 Suppose -5 - 1 = j. Let r be (-31)/11 - j/(-33). List the prime factors of r*1*(-16 + 7). 3 Let f(w) = -33*w - 153. What are the prime factors of f(-11)? 2, 3, 5, 7 Let d(y) = y**3 - 3*y**2 - 7*y - 16. Let b be d(5). What are the prime factors of (-2)/b*(-780)/(-40)? 3, 13 Let z = 4 - 2. Suppose -5*g + 2*f = 5*f - 74, z*g - 3*f = 38. List the prime factors of g/20*7*5. 2, 7 Let o(f) = f**2 + 11*f + 2. Let l be o(-15). List the prime factors of (3 + -6)/((-3)/l). 2, 31 Suppose 5*h - 3*u = 34, -4*u - 17 = -5. Let p(r) = -r**3 + 6*r**2 + 3*r + 2. Let m be p(6). Suppose 4*n = h*n - m. What are the prime factors of n? 2, 5 Let d be (-2)/(-6) - 802/(-6)*7. List the prime factors of (d/(-16))/(1/(-2)). 3, 13 Let n(w) = -509*w - 1238. What are the prime factors of n(-8)? 2, 13, 109 Let f(c) = 24 - 23 + 119*c**2 + 50*c**2. What are the prime factors of f(-1)? 2, 5, 17 Let i = -310 - -546. List the prime factors of i. 2, 59 Let h be (-8)/(-10)*(-35)/(-7). Suppose 421 = h*f + 3*a, 2*a + 0*a = -5*f + 535. What are the prime factors of f? 109 What are the prime factors of 8364/6*(4 + -3)? 2, 17, 41 Suppose 0 = 2*g - 0*g - 24. What are the prime factors of (-4)/(-3) - (-224)/g? 2, 5 Suppose -62 = 2*k - 3*m, k + 62 = -k - m. Suppose -12*d = 15*d + 513. Let v = d - k. What are the prime factors of v? 2, 3 Let w = -107 - -154. Let x = 71 - w. List the prime factors of x. 2, 3 Let h be (-3 - -3)*5/(-10). Suppose h*m + 88 = m. Let c = -54 + m. What are the prime factors of c? 2, 17 Suppose 821*c - 616 = 817*c. List the prime factors of c. 2, 7, 11 Suppose -4*c = -2*h - 3*c - 17, 0 = 4*c - 12. Let j be -1 - (278/(-12) + 37/222). List the prime factors of j*2 - (h - -4). 47 Let m = 13 + -12. Suppose -3*q + m = j, -q + 19 = q - 3*j. List the prime factors of -3*17/(-6)*q. 17 Let x be ((-36)/8)/(1/(-2)). Suppose 0 = 3*y - x, -2*s + 5*y + 371 = 2*y. Suppose 5*p - 2*a - s = 0, -4*p - 5*a + 105 = -2*p. What are the prime factors of p? 2, 5 Let q = -237 - -169. Let c = 117 + q. List the prime factors of c. 7 Suppose 0 = 7*c - 0*c. Suppose -584 = -4*z - h, -2*z = -c*z + 2*h - 286. What are the prime factors of z? 3, 7 Let k = 137 - 102. List the prime factors of k. 5, 7 Suppose -8*p + 11 = -125. Suppose -9*l = -p*l + 1496. List the prime factors of l. 11, 17 Suppose -4512 = 9*s - 18723. What are the prime factors of s? 1579 Let y(r) = 5*r**2 + 5*r + 1. Let m be y(-2). Let q = -9 + m. Suppose -4*s - q*s = -294. List the prime factors of s. 7 Suppose -5*h - 2860 = -10*h. List the prime factors of h. 2, 11, 13 Let w be (2/8 + 0)*68. Let x = w - 15. Suppose -x*a + 3 + 3 = 0. List the prime factors of a. 3 Let w be ((-3)/(-1) - 7) + 35. Suppose -13 - 5 = 2*q. Let x = q + w. What are the prime factors of x? 2, 11 Suppose 0 = -3*p - 5 - 7. List the prime factors of (44 - p)*(-15)/(-3). 2, 3, 5 Let j(c) = c + 1. Let f be j(8). What are the prime factors of (-15)/(-10)*102/f? 17 Suppose -g - 12 = -3*g. Suppose 9*k - 6*k - g = 0. Suppose -k*i - 18 = -3*i. List the prime factors of i. 2, 3 Suppose 3*f = c - 897, -5*f - 319 = -c + 570. What are the prime factors of c? 3, 101 Suppose 4*t - 2026 = -3*d, 5*t - d - 2996 = -473. List the prime factors of t. 5, 101 Let w(b) = 2*b**2 + 7*b + 1. Let z be w(5). Suppose -o - 4*u + z = o, -5*o + 4*u + 145 = 0. What are the prime factors of o? 3, 11 Let u be (1/3)/(0 + (-1)/(-18)). Suppose 0 = u*h - h + 2*m - 155, -h = -5*m - 4. What are the prime factors of h? 29 Let t be 0 - (0 + -3 - 0). Suppose t*d - 2 - 7 = 0. Suppose 2*x + d*x = 95. What are the prime factors of x? 19 Let y(t) = -t + 1. Let d be y(-8). Suppose -52 = 13*m - d*m. Let p(q) = q**3 + 12*q**2 - 16*q - 14. List the prime factors of p(m). 5 Suppose -7*b + 21 = -4*b. Suppose 5*d = b*d - 192. List the prime factors of d. 2, 3 Let h be 7/(1 + 0) - 1. List the prime factors of (-126)/(-2) - (-3)/h*2. 2 Suppose -48 = 10*s + 202. Suppose -r = -k - 46, 0*r + k - 50 = -r. Let g = r + s. List the prime factors of g. 23 Suppose 0 = -5*l - 11*t + 8*t + 2159, 415 = l - 5*t. What are the prime factors of l? 2, 5, 43 Suppose -17*s + 22*s = 1610. What are the prime factors of s? 2, 7, 23 Suppose -5*t - 4*h + 2 = -6, -2*t - 5*h = -10. Suppose t = -2*r + 2 - 8, -p - 4*r = -75. List the prime factors of p. 3, 29 Suppose 0 = -83*x + 84*x - 264. What are the prime factors of x? 2, 3, 11 Let t(w) = -w**2 + 23*w + 48. Let o(c) = c**3 - 22*c**2 + 3*c - 46. Let j be o(22). List the prime factors of t(j). 2, 3 Let d = -3 + 6. Suppose 64 = 4*b - y, -97 = -0*b - 5*b - d*y. What are the prime factors of b? 17 Let h = 587 + 35. What are the prime factors of h? 2, 311 Let p(f) = 520*f. Let l be p(1). Suppose 0*k + l = 4*k.
{ "pile_set_name": "DM Mathematics" }
What is 62.88741 rounded to the nearest 10? 60 Round -281842.35131 to the nearest one thousand. -282000 What is 10152.69585 rounded to the nearest one thousand? 10000 What is -2225.84255 rounded to the nearest one hundred? -2200 What is 501067.916 rounded to the nearest 100? 501100 What is -4916.30545 rounded to the nearest 100? -4900 What is 0.00011882821937 rounded to 6 dps? 0.000119 What is -0.002363242801 rounded to four decimal places? -0.0024 Round -336.1730623 to one decimal place. -336.2 Round -0.0000006790795 to 6 dps. -0.000001 What is -0.009421319895 rounded to 6 decimal places? -0.009421 Round -0.00003405011109 to 6 decimal places. -0.000034 Round -11291981180 to the nearest one million. -11292000000 What is 0.67351425 rounded to 2 dps? 0.67 What is 14703.1614 rounded to the nearest 100? 14700 What is -0.0169986714 rounded to two decimal places? -0.02 Round -3.1133732 to the nearest integer. -3 Round -14874.00159 to 1 dp. -14874 What is 0.3604166651 rounded to 3 dps? 0.36 Round 191.260779 to two dps. 191.26 What is 2696.881946 rounded to the nearest one thousand? 3000 Round -0.00000047699773 to seven decimal places. -0.0000005 What is -26058.7264 rounded to the nearest ten? -26060 What is -3562.10633 rounded to 0 dps? -3562 Round 0.000038961147 to six decimal places. 0.000039 What is 592.2885766 rounded to two dps? 592.29 Round -853691.2 to the nearest 1000. -854000 What is 1754230.673 rounded to the nearest one hundred thousand? 1800000 What is -64217.188 rounded to the nearest 10? -64220 Round -31256.5611 to the nearest one thousand. -31000 What is 24.2227897 rounded to two dps? 24.22 Round 123.0952478 to the nearest ten. 120 Round 10781642 to the nearest 100000. 10800000 What is 0.0066868725 rounded to six dps? 0.006687 What is -673.0055 rounded to the nearest one hundred? -700 What is -28375647.8 rounded to the nearest 1000? -28376000 Round 0.0000421655615 to six dps. 0.000042 What is 243.8580415 rounded to 0 decimal places? 244 Round -22334088.2 to the nearest 1000000. -22000000 What is 16.73246 rounded to the nearest 10? 20 What is 0.00000164986399 rounded to 7 dps? 0.0000016 Round 0.000743689265 to five decimal places. 0.00074 Round 0.148592072 to 2 decimal places. 0.15 What is -8.77692124 rounded to 3 dps? -8.777 Round -553.17052 to the nearest 10. -550 Round 0.00000327691691 to 7 decimal places. 0.0000033 Round 807328.999 to the nearest one thousand. 807000 What is -0.0000130475326 rounded to seven decimal places? -0.000013 What is 0.279348105 rounded to 3 decimal places? 0.279 Round -4588567.648 to the nearest one hundred. -4588600 Round -47.037012 to 0 decimal places. -47 Round -2869860.28 to the nearest 1000. -2870000 What is 0.00000122043753 rounded to 7 decimal places? 0.0000012 What is -8803746.43 rounded to the nearest 1000? -8804000 What is 15.7435866 rounded to 1 decimal place? 15.7 Round 13008.28203 to the nearest one thousand. 13000 Round 73770.6252 to the nearest one thousand. 74000 What is 63008.893 rounded to the nearest ten thousand? 60000 What is -4.38201 rounded to two dps? -4.38 What is 55674.5794 rounded to the nearest 10000? 60000 Round -167.68888357 to three decimal places. -167.689 Round -0.00000264181196 to seven decimal places. -0.0000026 What is 0.000050500137 rounded to 7 dps? 0.0000505 Round -13.92876242 to 0 decimal places. -14 Round 9756.2249 to the nearest integer. 9756 Round 0.01093407338 to six decimal places. 0.010934 What is 0.1326148273 rounded to 4 dps? 0.1326 What is -837.604687 rounded to the nearest 10? -840 Round -8.9708377 to one dp. -9 What is 20591168600 rounded to the nearest one million? 20591000000 What is -2680089607.3 rounded to the nearest ten thousand? -2680090000 Round -55.8301588 to three decimal places. -55.83 What is 0.00003657569231 rounded to six decimal places? 0.000037 What is -18.47794288 rounded to 3 decimal places? -18.478 What is 415.106239 rounded to the nearest integer? 415 Round -20061.6333 to the nearest 1000. -20000 What is 15741.372174 rounded to the nearest one thousand? 16000 What is 0.000000715285818 rounded to 7 decimal places? 0.0000007 Round 126798622.49 to the nearest one hundred thousand. 126800000 Round -0.00068958516 to five decimal places. -0.00069 What is -56029.016 rounded to the nearest one hundred? -56000 What is 0.000944422828 rounded to four decimal places? 0.0009 Round 0.030566495 to four dps. 0.0306 Round 1.046623869 to two decimal places. 1.05 Round 0.751796291 to 2 dps. 0.75 Round -4642347.26 to the nearest 1000000. -5000000 Round 85653831.4 to the nearest ten thousand. 85650000 What is -14148.18563 rounded to the nearest ten? -14150 What is -0.0085767922 rounded to seven decimal places? -0.0085768 What is 4931.768 rounded to the nearest ten? 4930 What is -5.846706464 rounded to 2 dps? -5.85 Round -0.00002123271662 to 7 dps. -0.0000212 What is 0.1571148982 rounded to 4 dps? 0.1571 Round -219.17208 to the nearest integer. -219 What is 29210273.16 rounded to the nearest one million? 29000000 Round 25223962.98 to the nearest one hundred thousand. 25200000 What is -3550.476145 rounded to the nearest 100? -3600 What is 0.01044459834 rounded to 4 decimal places? 0.0104 What is 0.078534847 rounded to 5 dps? 0.07853 What is -0.0193026895 rounded to three dps? -0.019 What is 0.00086978078 rounded to six dps? 0.00087 What is -439997.5 rounded to the nearest 10000? -440000 Round -480674.7286 to the nearest 10. -480670 Round -236.6155988 to two decimal places. -236.62 Round -0.00000948709904 to seven dps. -0.0000095 What is -1358.564155 rounded to 1 decimal place? -1358.6 What is -0.00330159973 rounded to 6 decimal places? -0.003302 Round -0.000002137487036 to 7 dps. -0.0000021 What is -0.82555723 rounded to 3 dps? -0.826 What is -37387360.15 rounded to the nearest one million? -37000000 What is -0.02033822073 rounded to 5 dps? -0.02034 What is 0.02638555868 rounded to 5 decimal places? 0.02639 What is 0.188800119 rounded to 3 dps? 0.189 Round -5470795.8 to the nearest 1000000. -5000000 What is 4499912.076 rounded to the nearest 10000? 4500000 What is 1169.36696 rounded to 1 dp? 1169.4 Round 0.00001843974905 to six dps. 0.000018 Round -0.00018917055 to 4 decimal places. -0.0002 What is 11916.77 rounded to the nearest one hundred? 11900 What is 1851.95508 rounded to the nearest 100? 1900 What is 104947205 rounded to the nearest one hundred thousand? 104900000 Round -554.33487 to the nearest 10. -550 What is 0.00029836564 rounded to 3 dps? 0 What is 2388727.77 rounded to the nearest 100000? 2400000 What is -12001.55878 rounded to the nearest one hundred? -12000 What is 0.528939056 rounded to one dp? 0.5 Round 1893592.595 to the nearest 10000. 1890000 Round -0.005102506 to five decimal places. -0.0051 Round 253219.308 to the nearest 100. 253200 Round -0.007448877374 to 3 decimal places. -0.007 Round -0.00335316058 to five decimal places. -0.00335 What is -0.000474456319 rounded to four decimal places? -0.0005 What is -8.890291153 rounded to three dps? -8.89 Round 0.0003836134398 to five decimal places. 0.00038 What is -0.00005961589704 rounded to 7 dps? -0.0000596 What is -20489.6117 rounded to the nearest 10? -20490 Round -0.00042530569 to 7 dps. -0.0004253 Round 1.16136939 to three decimal places. 1.161 What is 12.05791503 rounded to 2 decimal places? 12.06 Round 947.13702 to two dps. 947.14 Round -16997.181027 to the nearest 100. -17000 What is -1245326.95 rounded to the nearest 100? -1245300 What is 37972167.5 rounded to the nearest 1000000? 38000000 What is -94025679 rounded to the nearest 1000000? -94000000 Round -5.67348398 to the nearest integer. -6 Round 29719.83187 to the nearest 1000. 30000 Round 0.000649287333 to 5 dps. 0.00065 Round 151992.51 to the nearest ten thousand. 150000 Round -0.0000279428256 to seven decimal places. -0.0000279 Round 0.0055957521 to three decimal places. 0.006 What is 3663.7672 rounded to the nearest 10000? 0 What is -44.599371 rounded to three decimal places? -44.599 What is -0.000000268166576 rounded to seven decimal places? -0.0000003 What is 0.00000094709999 rounded to seven dps? 0.0000009 What is 17129.9629 rounded to the nearest 1000? 17000 What is -45408.19908 rounded to the nearest ten thousand? -50
{ "pile_set_name": "DM Mathematics" }
2*v - 289, 5*m - 5*v - 145 = 150. What are the prime factors of m? 3, 19 Suppose 4356 = 2*z - 3*u, 1136 = z - 5*u - 1049. List the prime factors of z. 3, 5, 29 Let x = 1162 - 611. What are the prime factors of x? 19, 29 Suppose 0 = -3*z - 2*z + 10. Let d be (-3 - 5)/4 + 5. Suppose -3*s + 3 = d*q, -4*q + z = 3*s - 0*q. What are the prime factors of s? 2 Let j be 2/(-7) - 1065/21. Let l(g) = -42*g - 51. Let w be l(-3). Let f = j + w. List the prime factors of f. 2, 3 Let i = 1139 + 1568. What are the prime factors of i? 2707 Let f(x) be the second derivative of 0 + 2*x**2 + 0*x**3 + 2/3*x**4 + 1/20*x**5 - x. List the prime factors of f(-8). 2 Let r(q) = 2*q**3 - 56*q**2 - 26*q + 69. List the prime factors of r(30). 3, 107 Let w = -36 - -251. What are the prime factors of w? 5, 43 Let j(s) = s - 1. Let a be j(6). Suppose 4*k = a*b - 4, 4*b = 3*b + k + 1. Suppose b = -2*o - 4*w + 48, -3*o + 40 = -o - 4*w. What are the prime factors of o? 2, 11 Suppose -4*x + 3 + 1 = 0. Let k(q) = 12*q**3 + 1 + 21*q**3 + 4*q**2 - 5*q**2. List the prime factors of k(x). 3, 11 Suppose -4*i - 34 = 10. Let o = i - -9. List the prime factors of (2 - 4)/(o/25). 5 Suppose -128 + 126 = -s. Suppose 41 = n - c, s*c - 158 = -9*n + 5*n. List the prime factors of n. 2, 5 Let s = -68 + 69. Let j(l) = 7*l**2 + 4 - 3 - 2. What are the prime factors of j(s)? 2, 3 Suppose -1936 = -3*b - 2*w, -3*b - 5*w = -0*b - 1933. List the prime factors of b. 2, 17, 19 Suppose 5*p + 5*q + 5 = 0, -3*q = p + 7 + 2. Suppose m + p*m = 204. List the prime factors of m. 3, 17 Let g(r) = r**2 - 5*r + 5. Let u(t) = -11*t**3 - t**2 - 2*t - 1. Let o be u(-1). Let y be (o - 14) + 11*1. List the prime factors of g(y). 29 Let j(d) = d**3 + 16*d**2 + 18*d - 8. Let g be j(-15). Let q = 86 + g. What are the prime factors of q? 3, 11 Let t be ((-24)/10)/(4/(-20)). Suppose 0 = 4*w - 12 - t. What are the prime factors of (5 - w)*(0 + -30)? 2, 3, 5 Let k be 0 - (-4 + 7 + -7). Let i(t) = -t**2 - 9*t + 12. Let s be i(-10). Suppose -s*r + 32 = k*b, 2*b = -2 - 6. What are the prime factors of r? 2, 3 Let p = 27 + -25. Suppose p*r - 25 - 35 = 0. List the prime factors of r. 2, 3, 5 Let l(d) = -3*d - 8. Let f be l(6). Let p be 2/(-4)*(f + 0). Suppose -3*w + p = -8. List the prime factors of w. 7 What are the prime factors of 421 + 0 - -1*7? 2, 107 Suppose -13*f + 47*f = 81396. What are the prime factors of f? 2, 3, 7, 19 Suppose 0 = -2*d - 0*d - g - 2, 3*d + g + 2 = 0. Let p(n) = 2*n + 73. What are the prime factors of p(d)? 73 What are the prime factors of (5104/(-264))/((-4)/366)? 29, 61 Suppose 3*r - 5*r + 4*v + 158 = 0, -3*r + v + 222 = 0. Let u = r - 44. What are the prime factors of u? 29 Let j = -121 + 133. Let x(q) = -q**3 + 13*q**2 - 4*q + 16. What are the prime factors of x(j)? 2, 7 Suppose 12*n - 22 = 2. Let o = n + 38. List the prime factors of o. 2, 5 Let q(i) be the second derivative of -4*i**3/3 - 21*i**2/2 + 7*i. List the prime factors of q(-6). 3 Let b be (10 + -7)/(6/40). What are the prime factors of (72/b)/((-4)/(-120))? 2, 3 What are the prime factors of 2331/6 + (-4)/(-8)? 389 Suppose 0 = 3*k + 3*b - 368 - 232, -8 = 2*b. List the prime factors of k. 2, 3, 17 Suppose -4*n = -x + 232, -n - 652 = -12*x + 9*x. List the prime factors of x. 2, 3 Let l(b) = 31*b**3 + 4*b**2 + 31. List the prime factors of l(5). 2, 2003 What are the prime factors of -3*(19/4)/((-12)/48)? 3, 19 Suppose 19944 = 8*t + 10*t. What are the prime factors of t? 2, 277 Let y be 5 + 0 - (5 - 2). Suppose -5*j - 4*d = -1192, y*d - 716 = -5*j + 2*j. List the prime factors of j. 2, 3, 5 Let o = 9 - -14. Suppose -3*r + 43 = -o. Let z = r + -2. List the prime factors of z. 2, 5 Suppose -13*w = -0*w - 16900. What are the prime factors of w? 2, 5, 13 Let o = -1950 - -2755. Suppose -p + o = 4*p. Suppose 0 = 3*z - p + 50. What are the prime factors of z? 37 Let u = -1739 + 2242. What are the prime factors of u? 503 Suppose 25 = 3*b + 2*b. Suppose 63 = 2*v + z, -b*v + 66 = -3*v + 2*z. What are the prime factors of (-10)/(-4)*192/v? 2 Let o(w) = -w**3 + 7*w**2 + 6*w + 4. Let d be o(8). Let y = d + 12. Suppose j - 42 = -y*j. List the prime factors of j. 2, 3, 7 Let v = 2344 - 1003. List the prime factors of v. 3, 149 Let d(f) = f + 8. Let r be d(0). Let x be ((-4)/(-6))/(r/(-348)). Let y = 59 + x. What are the prime factors of y? 2, 3, 5 Let r = -1647 + 4489. What are the prime factors of r? 2, 7, 29 List the prime factors of (181 + 2)/((-28 - -14)/(-14)). 3, 61 Let d(w) = 8*w**2 + 6*w - 19. What are the prime factors of d(6)? 5, 61 Let u(m) = -m**3 + m**2 + 2*m - 3. Let d be u(2). Let a = d + 3. Suppose 4*h = 3*r - 8*r + 42, -4*h - 8 = a. List the prime factors of r. 2, 5 Let u(w) = w**3 - 2*w**2 + 1. Let o be 2/(-3)*9/6. Let s be u(o). List the prime factors of (3/s)/(21/(-98)). 7 Let b(l) = -l**3 + 8*l**2 - 10*l + 9. Let q be b(6). Suppose i - 155 = -q. Suppose -4*n = -i - 10. List the prime factors of n. 2, 3 Let x(d) be the first derivative of -5*d**2/2 + 37*d + 24. List the prime factors of x(-27). 2, 43 Let y be -5*-1*(-354)/(-15). Suppose 18*w - 20 = 22*w, 5*w - 870 = -5*x. Let u = x - y. List the prime factors of u. 61 List the prime factors of (200/(-8))/(-5) - -1002. 19, 53 Suppose 66*d = 79*d - 19747. List the prime factors of d. 7, 31 Let z be (13/(-2))/((7/6)/(-7)). List the prime factors of (z/(-26))/((-2)/100). 3, 5 Let j(n) = -n**3 - 5*n**2 - n - 3. Let g(x) be the second derivative of x**3/6 - 11*x**2/2 + 4*x. Let z be g(6). What are the prime factors of j(z)? 2 Suppose -5*s = 4*w - 4949, w = -5*s - 765 + 5726. List the prime factors of s. 3, 331 Let t(v) = v**3 + v**2 - 2*v + 494. List the prime factors of t(0). 2, 13, 19 Suppose -9*o - 3 = -6*o, -p - 5*o + 987 = 0. List the prime factors of p. 2, 31 Let z = -841 + 3650. List the prime factors of z. 53 Let i be (-32 + -4)*4/6. Let g be 84/i*-2*1. Suppose b + 3*u = 3, 2*b + g*u - 11 = 2*u. List the prime factors of b. 2, 3 Let o(y) = -y**2 - 4*y - 2. Let b be o(-3). List the prime factors of (1/(3/(-120)))/(-1*b). 2, 5 Let f = 623 - 331. List the prime factors of f. 2, 73 Let h(w) = -32*w**2 - w + 3. Let i be h(-2). Let s = i - -282. What are the prime factors of s? 3, 53 Suppose -7*z = -z + 12. Let u be (-15 - z)*(3 - 4). Suppose -r - 2 = 0, -x = -2*r - 2*r - u. List the prime factors of x. 5 Suppose 16 = 3*r - 7*r. Let k(v) = -2*v + 8. Let b be k(6). What are the prime factors of (r/(b/33))/1? 3, 11 Suppose -5*v = -3*v - 2504. List the prime factors of v. 2, 313 List the prime factors of 5554/6 - 4*(-5)/60. 2, 463 Suppose -4*k + 6*o - 3*o = -2063, 5*k + o = 2574. What are the prime factors of k? 5, 103 Let t(c) = -c**3 + 8*c**2 + 11*c - 5. Suppose 4*r - 30 - 6 = 0. What are the prime factors of t(r)? 13 Let t be (-14208)/(-36) + (-2)/(-6). Let a = t + -133. List the prime factors of a. 2, 131 Let p be (-10)/(-15) - (-691)/3. Suppose -6*f - f = -p. What are the prime factors of f? 3, 11 Let y(c) = -c**3 + 14*c**2 + 46*c - 17. What are the prime factors of y(13)? 2, 3, 5 Let k(x) = x**2 - 7*x + 254. What are the prime factors of k(0)? 2, 127 Suppose -2*w - 2*w = 3*o + 813, -5*w + 3*o - 1023 = 0. Let y = w - -292. Suppose -t = -3*t + y. List the prime factors of t. 2, 11 What are the prime factors of 7 + -5 + 7 + 16? 5 Let g = 6 + -32. Let j = g + -790. List the prime factors of 2/(-10) + j/(-30). 3 Let o(v) = -11*v**2 - 7 + v**3 - 2 + 5*v + 6 - 13. What are the prime factors of o(11)? 3, 13 Let g(t) = t + 3. Let a be g(0). Suppose 2*s + 26 = 4*b, a*b - 5*s - 9 = 28. List the prime factors of b. 2 Let z = 314 - -323. What are the prime factors of z? 7, 13 Suppose 1063 = 2*x - 1269. List the prime factors of x. 2, 11, 53 List the prime factors of (6/9)/(12/(-24210)*-5). 269 What are the prime factors of 6/39 + (-24016)/(-52)? 2, 3, 7, 11 Suppose 31*q - 38*q = -7994. List the prime factors of q. 2, 571 Let p(x) be the first derivative of 2*x**2 + 93*x - 8. List the prime factors of p(0). 3, 31 Suppose -w = 5*k - 7985, 1597 = k - 21*w + 22*w. What are the prime factors of k? 1597 Suppose -57 = 4*w - 4*s + 11, 5*w = -4*s - 121. Let o be 32/6*w/(-4). Let a = 43 + o. What are the prime factors of a? 71 Let p be 3*(-1 - 0) - 12106/(-2). What are the prime factors of p/30 + 2/6? 2, 1
{ "pile_set_name": "DM Mathematics" }
34. Let x(g) be the second derivative of -2*g**3/3 - g. What is x(h(p))? 16*p Let i(k) = 3*k. Let y be i(3). Let m(s) = -2*s**2 + y - 1 - 8. Let z(f) = -4*f**2. What is z(m(l))? -16*l**4 Let b(u) = -3*u. Let s(w) = w**2 - 5*w - 6. Let m be s(6). Let k(j) be the second derivative of 0*j**2 + m + 1/6*j**4 - 2*j + 0*j**3. What is k(b(p))? 18*p**2 Let d(m) = 5*m**2 - 9*m. Let p(f) = 134*f. Determine p(d(b)). 670*b**2 - 1206*b Let b(l) = 37699*l**2. Let f(j) = 2*j. Give f(b(r)). 75398*r**2 Let z(d) be the second derivative of -d**5/12 + d**2/2 - d. Let s(n) be the first derivative of z(n). Let m(o) = -2*o**2. Give s(m(p)). -20*p**4 Let l(g) = -23107*g. Let j(b) = b**2. Give l(j(a)). -23107*a**2 Let f(s) = -308*s**2. Let b(u) = -4*u**2. Determine b(f(n)). -379456*n**4 Let k(m) = -3*m**2. Let p(w) = 48*w**2 + 1. Calculate p(k(b)). 432*b**4 + 1 Let w(h) = 2*h**2. Let n(l) be the second derivative of -5*l**4/12 - 7*l. What is w(n(r))? 50*r**4 Let r(a) = 2*a**2. Suppose 5 = 4*v - 3. Suppose -4 = -5*k + 3*g, -4*g = 5*k - 2*g - 14. Let w(z) = 5*z**2 - k*z + v*z. Determine w(r(t)). 20*t**4 Let z(c) = -2076*c**2. Let y(a) = 3*a. Give z(y(k)). -18684*k**2 Let b(u) = 3*u**2. Let f(i) be the third derivative of -1/30*i**5 + 0*i**3 + 5*i**2 + 0*i + 0*i**4 + 0. Calculate f(b(n)). -18*n**4 Let f(h) = 90*h**2 - h. Let o(t) = -2*t. Calculate o(f(a)). -180*a**2 + 2*a Let i(x) be the third derivative of x**5/30 + 3*x**2. Let b(y) = -5*y. Calculate b(i(c)). -10*c**2 Let f(c) = -9*c**2. Let n(k) be the first derivative of k**2/2 - 9. Give f(n(i)). -9*i**2 Let b(q) = 5*q**2. Let g(s) = 2*s + 5*s - s - 5*s. What is g(b(i))? 5*i**2 Let x(a) = 232*a**2. Let h(p) = -2*p. Calculate h(x(d)). -464*d**2 Let r(p) = 47*p - 25*p - 18*p. Let d(h) = 4*h**2. Give d(r(y)). 64*y**2 Let m(g) = -g. Let d(i) = -2*i**2 - 34*i + 8. Determine d(m(v)). -2*v**2 + 34*v + 8 Let m(g) = 303*g. Let j(f) = -9*f. What is m(j(h))? -2727*h Let q(y) be the second derivative of -y**3/3 + 2*y. Let d = -2 + 4. Let w(h) = -7*h - 2*h + d*h + h. Determine w(q(t)). 12*t Let d(s) = s**2 - 137*s. Let u(g) = 32*g. Determine d(u(i)). 1024*i**2 - 4384*i Let d(c) = c - 75. Let a(w) = w**2. Determine a(d(p)). p**2 - 150*p + 5625 Let v(u) = -150 + 150 - u**2. Let z(s) = -5*s. Calculate v(z(f)). -25*f**2 Let h(c) = -c**2 + 4*c. Suppose 2 = -z + 6. Let y(x) = -x. Let k(q) = z*y(q) + h(q). Let a(g) = 2*g. What is k(a(f))? -4*f**2 Let n(y) = y**2. Let f(m) = -m**2 + 5*m - 3. Suppose 4*c = 3*x - 10, -4*c = 5*x - c - 7. Let i be f(x). Let l(q) = q - 3 + i. Calculate l(n(z)). z**2 Let c be 2 + -1 + 12/(-3). Let j(t) = 0*t + 2*t - 9*t. Let o(p) = -p. Let a(d) = c*j(d) + 24*o(d). Let g(v) = 2*v**2. Give a(g(r)). -6*r**2 Let y(r) = r**2 + 10*r. Let q(g) = 24*g**2. Give q(y(j)). 24*j**4 + 480*j**3 + 2400*j**2 Let g(i) = -i. Let r(u) = u**2 + u. Let t be r(0). Let n(c) be the third derivative of -2*c**2 + t + 1/30*c**5 + 0*c + 0*c**4 + 0*c**3. What is n(g(y))? 2*y**2 Let r(h) = 2*h**2 + 3*h**2 - 2*h**2. Let p(l) = -2*l**2. What is p(r(i))? -18*i**4 Let t(f) = 5*f**2. Let g(l) = 108*l**2. What is t(g(r))? 58320*r**4 Let y(z) = 15333*z**2. Let m(o) = -o**2. Determine m(y(i)). -235100889*i**4 Let g(k) = -3*k**2. Let d(f) = 4*f**2. Let a(h) = -18*h - h**2 + 18*h. Let v(j) = 6*a(j) + d(j). Give v(g(o)). -18*o**4 Let u(q) = -4*q**2 + q**2 - q**2. Let w(r) = 1. Let y(o) = -o + 4. Let k(b) = -4*w(b) + y(b). Determine u(k(f)). -4*f**2 Let y(i) = -i**2 - 10*i + 7. Let z be y(-10). Let m(r) = -7*r + 3*r + z*r. Let f(o) = -2*o**2. Calculate f(m(n)). -18*n**2 Let f(n) be the second derivative of 0*n**3 + 0 - n - 1/2*n**2 - 1/12*n**4. Let c(s) be the first derivative of f(s). Let p(a) = a. Calculate c(p(j)). -2*j Let o(g) = -6*g. Let l(z) be the first derivative of -z**3/3 + 5. Calculate o(l(a)). 6*a**2 Let o(t) = 2*t + t + 3*t. Let a(n) = -7 - 2*n**2 + 2 + 5. Calculate a(o(h)). -72*h**2 Let u(f) = 12*f**2 - 15*f + 15. Let n(z) = -3*z**2 + 4*z - 4. Let w(l) = -15*n(l) - 4*u(l). Let a = 9 + -6. Let v(c) = -2*c**2 + 6*c**2 - a*c**2. Give v(w(x)). 9*x**4 Let r(x) = x**2 + 2*x**2 - 5*x**2. Let u(t) = -4*t. Give u(r(b)). 8*b**2 Let m(c) = 3*c. Let f(t) = t. Let l(z) = -11*f(z) + 4*m(z). Let s(j) = 14*j**2. Give s(l(q)). 14*q**2 Let z(l) = l - 1. Let d(b) = -14*b + 12. Let p(c) = -d(c) - 12*z(c). Let s(m) = m**2. What is p(s(a))? 2*a**2 Let m(k) = -k. Let j(y) = -1722 + 1722 + 5*y. Calculate m(j(n)). -5*n Let u(l) = 267*l - 1. Let p(x) = x. What is p(u(h))? 267*h - 1 Let r(t) be the third derivative of t**4/12 + t**2. Let x(o) = o**2 - 5*o + 6. Let i be x(4). Let y(s) = i*s + 4*s - 4*s. Give y(r(j)). 4*j Let i(z) = 11*z**2 + 2. Let y(o) = 7*o**2. Calculate y(i(h)). 847*h**4 + 308*h**2 + 28 Let q(w) = 258*w. Let b(i) = 3*i. Give q(b(z)). 774*z Let l(s) = -27*s**2. Let r(m) be the third derivative of -m**4/12 - 33*m**2. What is r(l(t))? 54*t**2 Let l(c) = c**2. Let j(b) = 299*b**2. Give l(j(n)). 89401*n**4 Let m(o) = -27*o**2. Let w(u) = -2*u. Determine w(m(j)). 54*j**2 Let b be (-2)/((-9)/6 - -1). Let m(z) = 0*z + z - z - b*z. Let q(g) = 2*g. Give m(q(w)). -8*w Let j(s) be the second derivative of s**3/3 - 2*s. Let u(a) = 5*a - 32 + 32. Give j(u(g)). 10*g Let t(f) = f. Let a(m) = m**2 + m + 51. Give t(a(s)). s**2 + s + 51 Let u(f) = 3*f**2. Let g = 3 + -6. Let y(i) = i + 1. Let l(r) = -4*r - 3. Let d(h) = g*y(h) - l(h). Determine u(d(x)). 3*x**2 Let r(t) = 112*t**2. Let z(d) = 5*d. What is r(z(f))? 2800*f**2 Let r(c) = c**2. Let j(p) = -40*p**2. Calculate r(j(w)). 1600*w**4 Let d(v) = 18*v**2. Let u(b) = -b + 11. Calculate u(d(l)). -18*l**2 + 11 Suppose u + 4*u + 40 = 0. Let n(z) = -6*z**2 + 8*z + 8. Let r(c) = -c**2 + c + 1. Let q(y) = u*r(y) + n(y). Let v(a) = 5*a. What is v(q(w))? 10*w**2 Let q(j) = 10*j**2. Let i(o) = 3*o**2. Let u(s) = 7*i(s) - 2*q(s). Let n(p) = p + 0*p + 5*p. Give u(n(k)). 36*k**2 Let j be (0/2 + 8)/2. Let r be (j + -2)/(6/9). Let x(b) = -4*b - r*b + 4*b. Let d(g) = 2*g**2. Calculate d(x(t)). 18*t**2 Let z(l) = -4*l + 8. Let h(a) = -3*a + 5. Let y(f) = 8*h(f) - 5*z(f). Let x(v) = -2*v**2. Determine y(x(g)). 8*g**2 Let z(s) = 5*s. Let x(a) = -6*a - 2. Determine x(z(j)). -30*j - 2 Let v(c) = 2*c. Let x(u) be the first derivative of -89*u**3/3 + u**2 + 30. What is x(v(h))? -356*h**2 + 4*h Let h = 12 - 9. Let t(y) = 2*y + y - h*y + 4*y. Let r(s) = -s. What is t(r(m))? -4*m Let l(d) = -197*d**2 - 1. Let z(u) = 6*u. Calculate z(l(s)). -1182*s**2 - 6 Let c(o) = -7*o**2. Let d(s) = -257*s. Give c(d(g)). -462343*g**2 Let a(d) = d + 88. Let n(y) = 16*y**2. Determine n(a(f)). 16*f**2 + 2816*f + 123904 Let f(m) = 4*m. Let w(i) be the third derivative of i**5/60 - 7*i**2. What is f(w(h))? 4*h**2 Let w(b) be the second derivative of 0*b**2 - 1/12*b**4 - 3*b + 0*b**3 + 0. Let c(g) = 2*g. Calculate c(w(y)). -2*y**2 Let c(u) = -2*u. Let g(s) be the third derivative of s**5/40 + s**3/6 - s**2. Let h(a) be the first derivative of g(a). Give h(c(t)). -6*t Let x(s) = -s**2 + 4*s**2 - 2*s**2. Let k(z) = -15*z + 5. Let h(j) = j - 1. Let q(i) = 5*h(i) + k(i). Give x(q(r)). 100*r**2 Let p(i) = 7*i**2. Suppose 6*s = 4*s + 6. Let d(q) = 2*q**2 + 2. Let f(h) = 2*h**2 + 3. Let c(z) = s*d(z) - 2*f(z). Determine p(c(o)). 28*o**4 Let b(a) = a - 2. Let w(d) = d. What is w(b(x))? x - 2 Let h(r) = 40*r. Let a(z) = -z. Give h(a(l)). -40*l Let w(g) = -82*g. Let z(s) = -11*s**2 + 5. What is z(w(u))? -73964*u**2 + 5 Let h(s) be the first derivative of s**2 - 1. Let m(i) = -21 + i**2 - 25 + 46. What is m(h(k))? 4*k**2 Let m(g) = -g**2. Let p(f) = 2*f - 7652. Determine p(m(x)). -2*x**2 - 7652 Let l(t) = -2122*t. Let g(s) = 3*s**2. Determine g(l(z)). 13508652*z**2 Let s(h) = -h**2 - 2*h + 2. Let d = 11 + -6. Let q(n) = d*n**2 - 11 + 4*n**2 + 11*n - 3*n**2. Let w(u) = -2*q(u) - 11*s(u). Let r(x) = -x**2. What is w(r(y))? -y**4 Let h(x) be the second derivative of -x**4/12 + 6*x. Let z(k) = 14*k**2. Determine h(z(g)). -196*g**4 Let n(o) = -2*o**2 + 4*o. Let m(s) = s**2 - 3*s. Let p(c) = -4*m(c) - 3*n(c). Let x(l) = 11*l. Give x(p(y)). 22*y**2 Let m(c) = 2*c - 100. Let k(q) = -4*q**2. Give k(m(d)). -16*d**2 + 1600*d - 40000 Let t(i) = -7*i**2 + 0*i**2 + 8*i**2. Let u(a) = 13*a + 2. What is u(t(v))? 13*v**2 + 2 Let v(k) = -3*k + 7. Let n(o) = 8*o**2. What is v(n(q))
{ "pile_set_name": "DM Mathematics" }
k**2 + 2 Suppose -4*i + 94 = 22. Let h(f) = -f**2 + 1. Let k(u) be the third derivative of -u**6/120 + 2*u**5/15 - 3*u**3/2 - 12*u**2. Calculate i*h(j) + 2*k(j). -2*j**3 - 2*j**2 Let b(a) = 8*a + 5. Let m(g) = 24*g + 16. Calculate 10*b(l) - 3*m(l). 8*l + 2 Let b(t) = -t**3 + 5*t**2 - 7*t + 6. Let p be b(4). Let i be (p/10)/(1/5). Let h(v) = -v - 2. Let x(m) = 2*m + 3. Determine i*h(r) - 2*x(r). -r Let w(x) = -x**2 + 1. Let g(z) = -2*z**3 + 5*z**2 + 2*z - 4. Let y = 27 - 28. What is y*g(j) - 4*w(j)? 2*j**3 - j**2 - 2*j Let q(r) = r**2 - r + 1. Let v(u) be the third derivative of -7*u**5/60 + u**4/8 - u**3/3 + 43*u**2. Calculate -5*q(i) - v(i). 2*i**2 + 2*i - 3 Let t(m) = -m**2 + 1. Let n(k) = -4*k**3 + 3*k**2 - 3. Calculate 4*n(h) + 12*t(h). -16*h**3 Suppose 0*y + 9 = y. Let a(x) = 11*x - 4. Let p(r) = -5*r + 2. Give y*p(i) + 4*a(i). -i + 2 Let h(c) = -95*c + 97*c + 2 - c**2 - c**2. Let m(f) = f**2 - f - 1. Calculate -3*h(d) - 4*m(d). 2*d**2 - 2*d - 2 Let k(y) = -16*y**3 - 40*y**2 + 11*y - 21. Let h(i) = -3*i**3 - 8*i**2 + 2*i - 4. Calculate -11*h(n) + 2*k(n). n**3 + 8*n**2 + 2 Let z = 36 + 2. Let j be (-5 - -4)/((-2)/z). Suppose -j = 5*n + 11. Let r(x) = -7*x**2 - 2*x + 8. Let u(d) = -d**2 + 1. Determine n*u(p) + r(p). -p**2 - 2*p + 2 Let c(a) = -6*a. Let t(q) = 1. Determine c(u) + t(u). -6*u + 1 Let p(y) = 11*y**2 - 2*y + 5. Let u(k) = -k**2 + 12*k**2 - 2*k - k**2 + 4. Give 4*p(d) - 5*u(d). -6*d**2 + 2*d Let h(r) = 3*r + 23. Let g(j) = -j - 8. Give -17*g(k) - 6*h(k). -k - 2 Let z(x) = -6*x**3 + 4*x - 7. Let j(s) = 2*s**3 - s + 2. Calculate -14*j(k) - 4*z(k). -4*k**3 - 2*k Let u(r) = r**2 + 2*r. Let y(z) = -z - 9. Let w be y(9). Let h(d) = -4*d**2 - 9*d. Determine w*u(c) - 4*h(c). -2*c**2 Let f(k) be the third derivative of -7*k**6/120 + k**5/10 - k**3 - 4*k**2. Let n(a) = 20*a**3 - 17*a**2 + 17. Give -17*f(x) - 6*n(x). -x**3 Let r = 71 + -75. Let u(j) = -j**3 + j**2 + j - 1. Let s(p) = -5*p**3 + 4*p**2 + 4*p - 2. Calculate r*u(w) + s(w). -w**3 + 2 Let i(v) = 2*v**2 + 4*v - 2. Let p be 4/(-14) - (-36)/28. Let n(q) = -2 - q**2 - 2*q + 1 + p + 1. Let u = -11 + 7. Calculate u*i(d) - 9*n(d). d**2 + 2*d - 1 Let a(y) = -44*y**3 - 14*y**2 + 14*y - 14. Let g(s) = 27*s**2 + 3 - 8*s**2 - 3*s + 9*s**3 - 16*s**2. Give 3*a(c) + 14*g(c). -6*c**3 Let m(r) = -1. Let u(b) = 2*b - 8. Let f(z) = -2*z - 5. Let l be f(-3). What is l*u(x) - 6*m(x)? 2*x - 2 Let a(u) = 5*u**3 + 6*u**2 - u. Let c(y) = 14*y**3 + 17*y**2 - 3*y. Determine 17*a(p) - 6*c(p). p**3 + p Let q(d) = -13*d + 4. Let l(f) = -2*f. Determine 14*l(i) - 2*q(i). -2*i - 8 Let t(a) = -15*a - 11. Let q(w) = -5*w - 4. Let p(g) = 7*q(g) - 2*t(g). Let k(n) = -2*n - 3. Calculate -9*k(v) + 4*p(v). -2*v + 3 Let f(v) = -8*v**2 - 8*v + 5. Suppose 3*m - 6 = 2*m. Let u(h) = -6 - 8*h**2 + 10*h - h + 17*h**2. Determine m*u(w) + 7*f(w). -2*w**2 - 2*w - 1 Let g(o) = -9*o**2 - 2*o + 3. Let r(p) = -26*p**2 - 6*p + 9. Determine -17*g(t) + 6*r(t). -3*t**2 - 2*t + 3 Let p(o) be the first derivative of 3*o**4/4 + 3*o**2/2 - 2*o - 13. Let q(f) = -f**3 - f. Calculate -p(n) - 2*q(n). -n**3 - n + 2 Let w(r) be the first derivative of -r**3/3 - 2*r**2 + 2*r - 2. Let a be (-20)/(-15)*3/(-2). Let p(z) = 6*z**2 + 21*z - 11. Give a*p(y) - 11*w(y). -y**2 + 2*y Let i(f) be the second derivative of -3*f**5/20 + 11*f**3/6 + 11*f**2/2 - 14*f. Let c(r) = r**3 - 4*r - 4. Calculate -11*c(w) - 4*i(w). w**3 Let g(s) = -s**2 - 2*s + 6. Let c(r) = -r - 1. Give -c(h) + g(h). -h**2 - h + 7 Let g(j) = -2*j**2 - 6*j + 2. Let h be (1/3)/(12/180). Let o(q) = -2*q**2 - 5*q + 2. Determine h*g(p) - 6*o(p). 2*p**2 - 2 Let p(s) = -3*s**3 + 5*s**2 - 2. Let a(y) = -y**2 + 1. Determine -3*a(g) - p(g). 3*g**3 - 2*g**2 - 1 Let j(l) = -5*l**2 + 2*l - 3. Let c(o) = o**2 + 1. Calculate 6*c(w) + j(w). w**2 + 2*w + 3 Let k(i) = -6*i**2 + 10*i + 2. Let m(t) = t**2 - t. Give -k(z) - 3*m(z). 3*z**2 - 7*z - 2 Let a(n) = 3*n**3 + 2*n**2. Let g be -65*3/27 + 2/9. Let o(p) = -10*p**3 - 7*p**2. Calculate g*a(b) - 2*o(b). -b**3 Let u(o) = 23*o + 13. Let v(c) = -8*c - 4. Give 2*u(b) + 7*v(b). -10*b - 2 Let s(g) = -g + 1. Let o(w) = w. What is o(l) + 2*s(l)? -l + 2 Let d(r) = r - 1. Let q(g) = -g**3 + 6*g - 7. Suppose -6*t + 1 - 7 = 0. Determine t*q(z) + 5*d(z). z**3 - z + 2 Let u(k) = -17*k - 1. Let w(z) = -84*z - 4. Calculate -14*u(j) + 3*w(j). -14*j + 2 Let p(c) = 2*c**2 + 3*c + 5. Let d = -8 - -12. Suppose -13 = -d*k - 1. Let z(j) = 5*j**2 + 8*j + 14. Determine k*z(s) - 8*p(s). -s**2 + 2 Let w(t) = -11 + t - t**3 + t**2 + 2 + 8. Let i(k) = 6*k**2 + 6*k - 6. Determine -i(s) + 6*w(s). -6*s**3 Let z = -4 + 2. Let s(u) = -2*u + 2. Let q(k) = -k**2 + 6*k + 17. Let a be q(9). Let y be ((-42)/35)/(4/a). Let j(g) = -g + 2. Determine y*j(m) + z*s(m). m + 2 Let z(s) = 2*s**3 - 2*s**2 + 6*s - 7. Let p(n) = -4*n**3 + 4*n**2 - 11*n + 13. Determine -4*p(b) - 7*z(b). 2*b**3 - 2*b**2 + 2*b - 3 Let b(u) = u + 1. Let t(x) = x**2 - 6*x + 3. Let r be t(4). Let m(f) = -2*f - 2. Calculate r*m(l) - 12*b(l). -2*l - 2 Let g(k) be the third derivative of 7*k**5/30 - 17*k**4/24 - 17*k**3/6 + 13*k**2. Let z(i) = 5*i**2 - 6*i - 6. What is 6*g(l) - 17*z(l)? -l**2 Let j = 43 + -45. Let c(p) = p**2 - p. Let h(l) = 3*l**2 - 2*l + 2. Calculate j*c(n) + h(n). n**2 + 2 Let z = 7 - 3. Let g be 3 + (-6 - 1) - -1. Let v(b) be the first derivative of -2*b**3/3 - 1. Let y(a) = -2*a**2. Give g*v(x) + z*y(x). -2*x**2 Let l(n) = -2*n**2 - 3*n. Let h(b) = -7*b**2 - 11*b + 1. Give 6*h(j) - 22*l(j). 2*j**2 + 6 Let n(f) = -4*f - 2. Let z be 0/((-6)/3 - -4). Suppose -3*h + h + 10 = z. Let i(p) = -5*p - 2. Give h*i(l) - 6*n(l). -l + 2 Let k(t) = -t. Let j(g) = -19*g + 11. Let r(u) = j(u) - 4*k(u). Let m(h) = -4*h + 3. Suppose 48 = 435*o - 443*o. Give o*r(c) + 22*m(c). 2*c Let c(s) = 7*s**2 - 5. Let n(m) = -3*m**2 + 2. Let h be -4 + (-7)/((-14)/4). Give h*c(f) - 5*n(f). f**2 Let u(z) = 8*z - 5. Let k(s) = s - 1. Calculate 14*k(b) - 2*u(b). -2*b - 4 Let c = -78 - -82. Let l(x) = -7*x - 2. Let t(q) = 6*q + 1. Give c*l(k) + 5*t(k). 2*k - 3 Let y(c) = -7*c**2 + 4*c + 4. Let q(l) be the third derivative of 0*l + 7/6*l**3 - 7*l**2 + 0 - 13/60*l**5 + 7/24*l**4. Calculate 4*q(a) - 7*y(a). -3*a**2 Let o(b) = 174*b - 29. Let y(w) = 35*w - 6. Give -6*o(n) + 29*y(n). -29*n Let a(l) = -l**3 + 6*l**2. Let p(h) = 2*h**3 - 6*h**2 + h. What is 4*a(b) + 3*p(b)? 2*b**3 + 6*b**2 + 3*b Let x(f) = 21*f**2 + 28*f. Let o(n) = n**2 + n. Give -28*o(d) + x(d). -7*d**2 Let o(r) = -5*r**2 + 3*r + 3. Let d(p) = 4*p**2 - 2*p - 2. Let z(k) = 6*d(k) + 5*o(k). Let n(u) = u + 1. Give 6*n(m) - 2*z(m). 2*m**2 Let s(f) = 9*f + 3. Let q(u) = -u. Give -3*q(z) - s(z). -6*z - 3 Let q(d) = 1. Let h(g) = 6*g + 2. Let k(x) = h(x) - 3*q(x). Let u(m) = -m. Calculate -k(i) - 4*u(i). -2*i + 1 Let x(s) = 1. Let z be 2/20 - (-49)/10. Let r(a) = 2*a - 4. Let t(y) = -y - 7. Suppose 0 = -2*v - 15 - 1. Let o be t(v). Calculate o*r(n) + z*x(n). 2*n + 1 Let v(u) = -8 - 48*u**3 - 17 - 12*u**3 - 25*u. Let t(g) = -5*g**3 - 2*g - 2. Calculate 25*t(y) - 2*v(y). -5*y**3 Let r(u) = -3*u**2 + 5*u + 2. Let t(d) = -2*d**2 + 4*d + 2. Determine -4*r(g) + 5*t(g). 2*g**2 + 2 Suppose 4*n - 14 = -6. Let j(f) = 4*f. Let u(v) = 5*v. Let b(z) = -z**2 + 5*z + 3. Let q be b(6). Give n*u(d) + q*j(d). -2*d Let n = -1 + 3. Suppose 3*j + 2*r = 6*j + 3, 3*j - 6 = 5*r. Let y(g) = 2*g**3 + 3*g**2 + 3*g - 3. Let s(c) = c**3 + 2*c**2 + 2*c - 2. What is j*s(x) + n*y(x)? x**3 Let k(v) = -9*v**2 + 5*v - 4. Suppose 1 = -5*n + 11. Let t(d) = 4*d**2 - 2*d + 2. Calculate n*k(m) + 5*t(m). 2*m**2 + 2 Let o = 9 - 6. Let i = -3 - o. Let x(r) = -2*r**3 + 2*r**2 - 6*r - 6. Let s(l) = -2*l**3 + 2*l**2 - 7*l - 7. Calculate i*s(d) + 7*x(d). -2*d**3 + 2*d**2 Let l(j) = -j**3 + 5*j**2 - 5*j + 5. Let r be l(4). Let f(d) = 1 + 8*d - r + 7. Let k(g) = g + 1. Let h(p) = -6*p + 4. Let i be h(3). Determine i*k(w) + 2*f(w). 2*w Let k(f) = -30*f**2 - 21*f - 36. Let x(a) = 6*a**2 + 4*a + 7. Determine -2*k(g) - 11*x(g). -6*g**2 - 2*g - 5 Let z(d) = -15*d**3 + 3*d - 3. Let w(l) = 15*l**3 - 2*l + 2. What is 3*w(h) + 2*z(h)? 15*h**3 Let k(r) = -r**2 - 2*r. Let z = -3 + 1. Let n(a) be the second derivative of a**4/12 + a**3/6 - a**2/2 + 14*a. Determine z*n(t) - k(t). -t**2 + 2 Let a(s) = s - 2. Suppose -5 = j + v, -3*v - 5 = 2*j + 10.
{ "pile_set_name": "DM Mathematics" }
**2 - 22 What is the z'th term of -246, -447, -648, -849? -201*z - 45 What is the g'th term of 87, 69, 61, 63? 5*g**2 - 33*g + 115 What is the l'th term of -6908, -6895, -6882, -6869? 13*l - 6921 What is the a'th term of 16709, 16719, 16731, 16745? a**2 + 7*a + 16701 What is the c'th term of 255914, 255913, 255912, 255911, 255910? -c + 255915 What is the l'th term of -59, -425, -1415, -3341, -6515, -11249, -17855? -52*l**3 - 2*l - 5 What is the o'th term of -9570, -9558, -9550, -9546, -9546? -2*o**2 + 18*o - 9586 What is the d'th term of -5653624, -5653629, -5653636, -5653645, -5653656, -5653669, -5653684? -d**2 - 2*d - 5653621 What is the r'th term of 5476, 5456, 5422, 5374, 5312, 5236, 5146? -7*r**2 + r + 5482 What is the a'th term of 2658, 10865, 24538, 43671, 68258? -a**3 + 2739*a**2 - 3*a - 77 What is the g'th term of 226, 502, 786, 1084, 1402? g**3 - 2*g**2 + 275*g - 48 What is the v'th term of 17283, 34584, 51885, 69186, 86487, 103788? 17301*v - 18 What is the s'th term of 14245, 13889, 13297, 12469? -118*s**2 - 2*s + 14365 What is the j'th term of -500, -494, -486, -476? j**2 + 3*j - 504 What is the p'th term of -56110, -56113, -56116? -3*p - 56107 What is the j'th term of -9321, -18646, -27969, -37290, -46609? j**2 - 9328*j + 6 What is the u'th term of -170, -634, -1382, -2408, -3706, -5270, -7094, -9172? u**3 - 148*u**2 - 27*u + 4 What is the o'th term of 108, 269, 480, 735, 1028, 1353, 1704, 2075? -o**3 + 31*o**2 + 75*o + 3 What is the f'th term of 3980, 8027, 12222, 16637, 21344, 26415, 31922, 37937? 12*f**3 + 2*f**2 + 3957*f + 9 What is the f'th term of 34889, 34893, 34897, 34901, 34905, 34909? 4*f + 34885 What is the y'th term of -7632, -15313, -23040, -30819, -38656, -46557, -54528, -62575? -y**3 - 17*y**2 - 7623*y + 9 What is the o'th term of 163, 114, -31, -320, -801? -8*o**3 + 7*o + 164 What is the m'th term of 648, 796, 960, 1140? 8*m**2 + 124*m + 516 What is the p'th term of -4140, -4328, -4530, -4752, -5000, -5280, -5598? -p**3 - p**2 - 178*p - 3960 What is the j'th term of -1952, -1951, -1950, -1949, -1948? j - 1953 What is the a'th term of 3107, 3106, 3105, 3104, 3103, 3102? -a + 3108 What is the s'th term of 956, 1872, 2788? 916*s + 40 What is the b'th term of 3648, 7298, 10948, 14598, 18248, 21898? 3650*b - 2 What is the w'th term of -41, -48, -63, -86? -4*w**2 + 5*w - 42 What is the p'th term of 19078, 19076, 19074, 19072? -2*p + 19080 What is the y'th term of 71953, 143943, 215937, 287935, 359937? 2*y**2 + 71984*y - 33 What is the j'th term of 1352048, 2704095, 4056142, 5408189, 6760236, 8112283? 1352047*j + 1 What is the i'th term of -324307, -324306, -324305? i - 324308 What is the j'th term of 4776, 9555, 14334, 19113, 23892? 4779*j - 3 What is the m'th term of -2778, -5563, -8348, -11133, -13918? -2785*m + 7 What is the r'th term of -5682, -11363, -17022, -22647, -28226, -33747, -39198, -44567? 2*r**3 - r**2 - 5692*r + 9 What is the w'th term of -1759, -3491, -5171, -6769, -8255, -9599, -10771? 5*w**3 - 4*w**2 - 1755*w - 5 What is the o'th term of 62317, 62314, 62311, 62308, 62305, 62302? -3*o + 62320 What is the b'th term of 13923, 27842, 41761? 13919*b + 4 What is the h'th term of -1887, -5215, -10761, -18525, -28507, -40707, -55125? -1109*h**2 - h - 777 What is the r'th term of 245884, 245879, 245870, 245857, 245840, 245819? -2*r**2 + r + 245885 What is the o'th term of 740, 2907, 6518, 11573, 18072, 26015, 35402? 722*o**2 + o + 17 What is the l'th term of -118873, -237760, -356647? -118887*l + 14 What is the r'th term of -59935, -59934, -59933, -59932? r - 59936 What is the u'th term of -900, -1815, -2746, -3699, -4680, -5695? -u**3 - 2*u**2 - 902*u + 5 What is the s'th term of 1221, 2661, 4317, 6189, 8277? 108*s**2 + 1116*s - 3 What is the s'th term of -300, -598, -894, -1188, -1480, -1770, -2058? s**2 - 301*s What is the q'th term of -733, -2926, -6573, -11668, -18205, -26178, -35581? q**3 - 733*q**2 - q What is the u'th term of -362458, -724935, -1087428, -1449943, -1812486, -2175063? -u**3 - 2*u**2 - 362464*u + 9 What is the q'th term of 727, 1614, 2501, 3388? 887*q - 160 What is the r'th term of 2421, 4851, 7281, 9711, 12141? 2430*r - 9 What is the k'th term of 1202, 1703, 2198, 2681, 3146? -k**3 + 3*k**2 + 499*k + 701 What is the h'th term of 1768, 1812, 1858, 1906, 1956? h**2 + 41*h + 1726 What is the m'th term of -246, -254, -268, -288, -314? -3*m**2 + m - 244 What is the m'th term of 1247, 2507, 3753, 4979, 6179, 7347? -m**3 - m**2 + 1270*m - 21 What is the a'th term of -1448, -1403, -1360, -1319, -1280, -1243? -a**2 + 48*a - 1495 What is the q'th term of -40375, -40364, -40353, -40342, -40331, -40320? 11*q - 40386 What is the j'th term of 3387, 3300, 3213, 3126, 3039? -87*j + 3474 What is the n'th term of 1281, 1230, 1175, 1116? -2*n**2 - 45*n + 1328 What is the z'th term of -3430, -3446, -3468, -3496? -3*z**2 - 7*z - 3420 What is the l'th term of -12, -103, -266, -501, -808? -36*l**2 + 17*l + 7 What is the o'th term of -600, -573, -548, -525, -504, -485, -468? -o**2 + 30*o - 629 What is the g'th term of -10254, -41036, -92338, -164160, -256502, -369364? -10260*g**2 - 2*g + 8 What is the u'th term of -60, -743, -1874, -3453, -5480, -7955? -224*u**2 - 11*u + 175 What is the i'th term of 9507, 38103, 85785, 152553, 238407? 9543*i**2 - 33*i - 3 What is the b'th term of 2948, 2940, 2926, 2906? -3*b**2 + b + 2950 What is the p'th term of -256, -524, -792? -268*p + 12 What is the h'th term of -1237, -1223, -1221, -1237, -1277, -1347, -1453? -h**3 + 21*h - 1257 What is the w'th term of 6391, 6386, 6381, 6376, 6371, 6366? -5*w + 6396 What is the d'th term of 70735, 70736, 70737, 70738, 70739, 70740? d + 70734 What is the t'th term of 2327, 4645, 6961, 9275, 11587, 13897, 16205? -t**2 + 2321*t + 7 What is the a'th term of -610, -2449, -5510, -9787, -15274, -21965, -29854? a**3 - 617*a**2 + 5*a + 1 What is the o'th term of 94, 293, 602, 1021, 1550, 2189? 55*o**2 + 34*o + 5 What is the i'th term of -4234, -8266, -12298, -16330? -4032*i - 202 What is the o'th term of -765702, -765693, -765678, -765657, -765630, -765597? 3*o**2 - 765705 What is the b'th term of 183213, 183214, 183215, 183216? b + 183212 What is the q'th term of 410, 423, 450, 491, 546, 615, 698? 7*q**2 - 8*q + 411 What is the j'th term of 152979, 305966, 458953, 611940? 152987*j - 8 What is the n'th term of 4137, 32413, 109159, 258609, 504997, 872557, 1385523? 4039*n**3 + n**2 + 97 What is the o'th term of 92463, 184939, 277415, 369891, 462367? 92476*o - 13 What is the u'th term of 289, 423, 557? 134*u + 155 What is the h'th term of -36392, -72784, -109176, -145568? -36392*h What is the z'th term of 34704, 138806, 312302, 555186, 867452, 1249094, 1700106, 2220482? -z**3 + 34703*z**2 + 2 What is the p'th term of -166, -785, -1816, -3259, -5114, -7381, -10060? -206*p**2 - p + 41 What is the p'th term of 12, 1, -52, -171, -380, -703? -4*p**3 + 3*p**2 + 8*p + 5 What is the z'th term of 297, 591, 863, 1101, 1293, 1427? -2*z**3 + z**2 + 305*z - 7 What is the v'th term of -48806, -48808, -48810, -48812, -48814? -2*v - 48804 What is the c'th term of -139, -564, -1255, -2188, -3339, -4684? 4*c**3 - 157*c**2 + 18*c - 4 What is the m'th term of -31982, -63957, -95930, -127901, -159870, -191837? m**2 - 31978*m - 5 What is the x'th term of 30174, 60344, 90514? 30170*x + 4 What is the b'th term of -89573, -89573, -89571, -89567? b**2 - 3*b - 89571 What is the h'th term of 48638, 48597, 48520, 48401, 48234? -h**3 - 12*h**2 + 2*h + 48649 What is the i'th term of -749, -2902, -6497, -11540, -18037, -25994? -i**3 - 715*i**2 - i - 32 What is the r'th term of -89, -111, -153, -215, -297, -399, -521? -10*r**2 + 8*r - 87 What is the z'th term of 96, 799, 2748, 6573, 12904, 22371? 105*z**3 - 7*z**2 - 11*z + 9 What is the a'th term of -603, -551, -499, -447, -395, -343? 52*a - 655 What is the g'th term of -22650, -22645, -22638, -22629, -22618? g**2 + 2*g - 22653 What is the o'th term of 328, 698, 1068, 1438, 1808, 2178? 370*o - 42 What is the m'th term of -618, -577, -530, -477, -418, -353, -282? 3*m**2 + 32*m - 653 What is the x'th term of -349, -557, -765, -973, -1181? -208*x - 141 What is the g'th term of -383, -1046, -1959, -3122, -4535, -6198? -125*g**2 - 28
{ "pile_set_name": "DM Mathematics" }
. Factor b(m). -2*(m + 1470)**2/5 Let a be (-879)/(-1172)*(-16)/(-18). Let m(t) be the third derivative of -2/3*t**3 + a*t**4 - 2/5*t**5 + 0 + t**2 + 2/15*t**6 + 0*t - 2/105*t**7. Factor m(s). -4*(s - 1)**4 Let v(p) be the first derivative of -50 + 0*p**2 - 4/7*p**3 - 3/28*p**4 + 0*p. Solve v(n) = 0 for n. -4, 0 Let g(h) = -7*h**3 + 411*h**2 - 1193*h + 807. Let f(x) = x**3 - x**2 - x - 5. Let i(m) = -3*f(m) - g(m). Find o, given that i(o) = 0. 1, 2, 99 Let f be 232/70*(3 + 72/(-32)). Let o = f - -5/7. Factor -16/5*s - 4/5*s**2 - o. -4*(s + 2)**2/5 Let m(f) = -f**2 - 2*f + 2069. Let l be m(44). Let j(y) be the second derivative of -16/3*y**3 - 1/3*y**4 + 0*y**2 - 1 + l*y. Factor j(c). -4*c*(c + 8) Let c = 29715787/272265 + -1/38895. Let h = -4409/42 + c. Factor 35/6*o**2 + h*o - 5/3. 5*(o + 1)*(7*o - 2)/6 Factor 3/8*c**5 + 0 + 3/2*c**4 + 0*c + 0*c**2 + 9/8*c**3. 3*c**3*(c + 1)*(c + 3)/8 Suppose 0 = -4*m + p - 76 + 242, -6 = -3*p. Suppose 26*g = m*g. Determine n, given that 0*n**3 + 1/7*n**4 + g - 3/7*n**2 - 2/7*n = 0. -1, 0, 2 Suppose -42*l = -36*l + 3096. Let n = l + 521. Find g such that -15 + n*g + 25/3*g**2 + 5/3*g**3 = 0. -3, 1 Let x(d) be the second derivative of -29*d**2 - 42*d - 19*d**3 + 0 - 9/2*d**4 + 1/10*d**5. Factor x(y). 2*(y - 29)*(y + 1)**2 Let a(h) be the third derivative of -h**6 - h**5/20 + 20*h**4 + 2*h**3 - 45*h**2 - 1. Factor a(l). -3*(l - 2)*(l + 2)*(40*l + 1) Let o = 0 - -4. Let x = -125823 - -125823. Factor 128*n + 1/4*n**o + 48*n**2 + 6*n**3 + x. n*(n + 8)**3/4 Let d(t) be the first derivative of -10*t**2 + 265/2*t**5 + 46 - 50/3*t**3 + 0*t + 875/12*t**6 + 195/4*t**4. Suppose d(c) = 0. What is c? -1, -2/5, 0, 2/7 Let m be (4 - 3)*0/(5 - -2). Suppose 6*r = 2*f + 5*r, -5*f - r = m. Factor 0*v**4 - 1/3*v**3 + 0*v + f*v**2 + 1/3*v**5 + 0. v**3*(v - 1)*(v + 1)/3 Determine b so that -273/5*b**2 + 3/5*b**4 - 489/5*b - 234/5 - 3*b**3 = 0. -6, -1, 13 Let z be (23/(-3))/((3/(-1))/(-9)). Let i = z - -27. What is j in 16*j**3 + 32*j**2 - 28*j**i - 4 - 133*j**5 + 6*j**3 + 2*j**3 + 109*j**5 = 0? -1, -1/2, 1/3, 1 Let i be 251512/37980 + (-20)/9. Determine g so that 82/5*g + i*g**3 + 28/5 + 78/5*g**2 - 2/5*g**4 = 0. -1, 14 Let l(a) be the first derivative of 2*a**6/15 - 12*a**5/25 + 2*a**4/5 - 2141. Factor l(j). 4*j**3*(j - 2)*(j - 1)/5 Suppose -85 = 12*q - 29*q. Find s such that -s**4 - 32*s**2 - 11*s**3 + 24*s**2 - s**3 + 3*s**q + 3*s**4 + 0*s**3 = 0. -2, -2/3, 0, 2 Let f(n) be the first derivative of 20480*n**6/27 + 49664*n**5/45 + 1528*n**4/9 - 2410*n**3/27 + 89*n**2/9 - 4*n/9 + 2607. Solve f(s) = 0. -1, -2/5, 1/16 Solve -9*b**2 + 60 - 42*b - 3/2*b**4 + 21/2*b**3 = 0. -2, 2, 5 Let l(j) be the third derivative of 0 + 0*j**3 + 7/72*j**4 + j**2 - 1/180*j**5 + 2*j. Factor l(p). -p*(p - 7)/3 Let r(p) = 27*p + 355. Let y be r(-13). Let d(v) be the first derivative of 0*v - 2/5*v**5 - 1/4*v**y + 14 - 1/6*v**6 + 0*v**2 + 0*v**3. Factor d(z). -z**3*(z + 1)**2 Let f(z) be the first derivative of 0*z + 0*z**5 - 19/3*z**3 + 0*z**2 - 1/1980*z**6 + 0*z**4 - 7. Let l(r) be the third derivative of f(r). Factor l(t). -2*t**2/11 Let y(n) be the first derivative of -1/8*n**4 + 1/9*n**3 + 1/72*n**6 + 0*n + 15 + 25/2*n**2 - 1/30*n**5. Let f(m) be the second derivative of y(m). Factor f(l). (l - 2)*(l + 1)*(5*l - 1)/3 Let k(a) be the first derivative of 14*a**5/5 - 106*a**4/9 - 1856*a**3/27 - 48*a**2 + 32*a - 276. Let k(b) = 0. Calculate b. -2, -6/7, 2/9, 6 Let b = 333166/7 - 47592. Factor -b*n**2 - 18/7 - 2/7*n**3 - 38/7*n. -2*(n + 1)**2*(n + 9)/7 Suppose -14154*d + 7136*d - 3822 + 3*d**2 + 7087*d = 0. Calculate d. -49, 26 Let g = 1323269/84825 - -1/84825. Find u, given that -3/5*u**2 - g*u - 507/5 = 0. -13 Suppose 307*z - 1893 = -405*z + 81*z. Determine x, given that 32/9*x + 0 - 10/9*x**5 - 40/9*x**z - 8/3*x**2 + 14/3*x**4 = 0. -4/5, 0, 1, 2 Let w(x) = 2*x**2 - 1746*x - 8. Let i(l) = -4*l**2 + 3489*l + 20. Let a(s) = 2*i(s) + 5*w(s). Solve a(o) = 0. 0, 876 Suppose -41 + 2/9*x**2 - 737/9*x = 0. Calculate x. -1/2, 369 Let k be ((-3)/27)/(-37 + (-19400)/(-525)). Suppose 0 - 6*u - 1/3*u**4 - k*u**2 + 10/3*u**3 = 0. What is u? -1, 0, 2, 9 Let t(b) = 2*b**2 - 3*b - 1. Let u be t(-1). Let i be (-4)/((-1)/(u/8)). Factor -14*s**4 - i*s**5 + 3*s**4 - 12*s**3 - s**4 - s**5. -3*s**3*(s + 2)**2 Let o(i) be the first derivative of i**5/10 + 9*i**4/8 - 101*i**3/6 + 171*i**2/4 - 40*i + 6029. Factor o(x). (x - 5)*(x - 1)**2*(x + 16)/2 Let y = -1292926 + 1292931. Suppose 0 + 0*x**2 - 2/9*x**y + 0*x - 2/9*x**3 + 4/9*x**4 = 0. What is x? 0, 1 Let k(t) be the third derivative of t**6/30 - 41*t**5/15 + 133*t**4/2 + 294*t**3 - 3916*t**2. Factor k(b). 4*(b - 21)**2*(b + 1) Let h(y) be the first derivative of 2*y**5/45 + 1231*y**4/9 + 3030722*y**3/27 + 215. Factor h(k). 2*k**2*(k + 1231)**2/9 Let o(q) be the second derivative of 6*q + 0 - 5/12*q**4 + 35*q**2 + 25/6*q**3. Solve o(j) = 0 for j. -2, 7 Let r(l) be the first derivative of -3*l**5/40 + 3*l**4/32 + 9*l**3/4 - 3*l**2 - 12*l - 4572. Suppose r(b) = 0. Calculate b. -4, -1, 2, 4 Suppose q = 3713 + 329. Let a = -28162/7 + q. Factor -6/7*h**2 - a*h - 726/7. -6*(h + 11)**2/7 Let i(t) be the third derivative of -t**6/200 - t**5/20 + 9*t**4/20 + 36*t**3/5 + 5*t**2 + 50. Factor i(h). -3*(h - 4)*(h + 3)*(h + 6)/5 Let q(g) be the third derivative of -27/7*g**3 + 0*g + 33/140*g**5 + 0 + 11/280*g**6 + 1/490*g**7 + 9/56*g**4 + 119*g**2. Factor q(w). 3*(w - 1)*(w + 3)**2*(w + 6)/7 Factor -43/2*l + 147/2 - l**2. -(l - 3)*(2*l + 49)/2 Let a(o) be the first derivative of 3*o**4/8 + 6*o**3 - 243*o**2/4 + 102*o - 5562. Determine w so that a(w) = 0. -17, 1, 4 Factor 5038/9*m**2 - 3220/3*m + 529 + 1/9*m**4 - 140/9*m**3. (m - 69)**2*(m - 1)**2/9 Let y(f) be the first derivative of -1/12*f**4 + 9*f**2 - 9 + 0*f**3 + 1/12*f**5 + 0*f. Let b(i) be the second derivative of y(i). Let b(c) = 0. Calculate c. 0, 2/5 Factor -2/19*p**2 + 796/19 - 394/19*p. -2*(p - 2)*(p + 199)/19 Let z(j) be the first derivative of -3*j**4/4 - 52*j**3 + 162*j**2 + 1095. Solve z(w) = 0 for w. -54, 0, 2 Find n, given that -195480*n**2 - 98283*n + 16481*n**4 - 3*n**5 - 96114*n**3 - 31743*n**4 + 16342*n**4 = 0. -1, 0, 181 Let -262/11*d**2 - 42/11*d**4 + 2/11*d**5 + 360/11 - 144/11*d + 18*d**3 = 0. What is d? -1, 2, 3, 15 Let y(t) be the second derivative of t**8/1680 - t**7/840 - t**6/72 - t**5/40 + 97*t**3/6 - 120*t. Let d(k) be the second derivative of y(k). Factor d(o). o*(o - 3)*(o + 1)**2 Let j(m) be the second derivative of -m**5/20 + m**4/4 + 49*m**3/6 + 45*m**2/2 - 51*m. Factor j(d). -(d - 9)*(d + 1)*(d + 5) Factor 28*t**2 + 0*t**3 + 10*t**3 + 50 + 2*t**4 - 2*t**3 + 64*t**2 + 16*t**3 + 120*t. 2*(t + 1)**2*(t + 5)**2 Suppose -427*f - 27 = -436*f. Factor -1/4*w + 1/4*w**f - 3/2 + 3/2*w**2. (w - 1)*(w + 1)*(w + 6)/4 Let m(d) = 89*d**3 + 181*d**2 - 1308*d - 59. Let l(k) = k**3 + k**2 + 4*k + 1. Let s(h) = -l(h) + m(h). Factor s(b). 4*(b - 3)*(b + 5)*(22*b + 1) Factor 45*w**2 + 195/4*w**3 - 95*w + 5/4*w**4 + 0. 5*w*(w - 1)*(w + 2)*(w + 38)/4 Let y(d) be the first derivative of 0*d + 1/13*d**2 + 4/39*d**3 - 124 + 1/26*d**4. Determine i, given that y(i) = 0. -1, 0 Let x(a) be the first derivative of 0*a**2 + 2 + 8*a - 1/3*a**3 - 7/30*a**6 + 7/12*a**4 + 1/10*a**5. Let n(c) be the first derivative of x(c). Factor n(p). -p*(p - 1)*(p + 1)*(7*p - 2) Let u(s) be the third derivative of -s**6/420 + 149*s**5/105 - 295*s**4/84 - 198*s**3/7 - 321*s**2 + 2*s + 1. Let u(i) = 0. Calculate i. -1, 2, 297 Determine k, given that 3*k**2 + 14*k**5 + 13*k**4 + 20*k**2 + 6*k + 36*k**3 - 36 + 11*k**3 - 13*k**5 - 54*k = 0. -6, -1, 1 Let u(j) = 39*j**5 - 24*j**4 + 6*j**3 + 171*j**2 + 72*j - 45. Let m(k) = -3*k**5 - k**4 - k**2 + 3. Let r(t) = 15*m(t) + u(t). Suppose r(l) = 0. What is l? -6, -2, -1/2, 0, 2 Let w be ((-312)/(-5200))/(12/720). Factor -44/5*g**2 + 0 + 0*g + w*g**3 + 2/5*g**4. 2*g**2*(g - 2)*(g + 11)/5 Let i(z) be the second derivative of 5*z**4/36 - 7580*z**3/9 + 5745640*z**2/3 + 3642*z. Factor i(f). 5*(f - 1516)**2/3 Let d(a) be the third derivative of 0*a**5 + 10*a**2 + 0*a**3 + 0*a + 0 - 1/21*a**4 + 1/420*a**6. Factor d(l). 2*l*(l - 2)*(l + 2)/7 Let c(u) = 282*u**2 + 6*u - 32. Let r be c(-8). Suppose -5*n + 4*y + 1834 = -r, -4*n = -2*y - 15844. Factor -4 - 2*z**3 + n*z*
{ "pile_set_name": "DM Mathematics" }
, to the nearest integer? 3 What is the cube root of 2323 to the nearest integer? 13 What is 8622 to the power of 1/2, to the nearest integer? 93 What is 91250 to the power of 1/5, to the nearest integer? 10 What is 97465 to the power of 1/5, to the nearest integer? 10 What is the square root of 1748 to the nearest integer? 42 What is 20122 to the power of 1/3, to the nearest integer? 27 What is 3071 to the power of 1/7, to the nearest integer? 3 What is the tenth root of 2651 to the nearest integer? 2 What is 53913 to the power of 1/3, to the nearest integer? 38 What is the fifth root of 1628 to the nearest integer? 4 What is 14272 to the power of 1/2, to the nearest integer? 119 What is the fifth root of 4442 to the nearest integer? 5 What is the fourth root of 3703 to the nearest integer? 8 What is 107 to the power of 1/3, to the nearest integer? 5 What is the square root of 1870 to the nearest integer? 43 What is 4523 to the power of 1/6, to the nearest integer? 4 What is 39044 to the power of 1/2, to the nearest integer? 198 What is the cube root of 58442 to the nearest integer? 39 What is 2346 to the power of 1/3, to the nearest integer? 13 What is 32533 to the power of 1/2, to the nearest integer? 180 What is 41385 to the power of 1/3, to the nearest integer? 35 What is the sixth root of 7967 to the nearest integer? 4 What is the eighth root of 4284 to the nearest integer? 3 What is the square root of 7194 to the nearest integer? 85 What is the seventh root of 1017 to the nearest integer? 3 What is 16741 to the power of 1/2, to the nearest integer? 129 What is 6662 to the power of 1/5, to the nearest integer? 6 What is the ninth root of 982 to the nearest integer? 2 What is 1120 to the power of 1/2, to the nearest integer? 33 What is 8469 to the power of 1/2, to the nearest integer? 92 What is the square root of 122481 to the nearest integer? 350 What is 31402 to the power of 1/2, to the nearest integer? 177 What is 1955 to the power of 1/4, to the nearest integer? 7 What is 9978 to the power of 1/5, to the nearest integer? 6 What is 11450 to the power of 1/2, to the nearest integer? 107 What is the tenth root of 9031 to the nearest integer? 2 What is the square root of 2040 to the nearest integer? 45 What is 1647 to the power of 1/10, to the nearest integer? 2 What is 3471 to the power of 1/3, to the nearest integer? 15 What is 1958 to the power of 1/2, to the nearest integer? 44 What is 257 to the power of 1/2, to the nearest integer? 16 What is the third root of 15275 to the nearest integer? 25 What is the cube root of 1542 to the nearest integer? 12 What is the ninth root of 2744 to the nearest integer? 2 What is 141476 to the power of 1/2, to the nearest integer? 376 What is 677 to the power of 1/3, to the nearest integer? 9 What is the cube root of 344 to the nearest integer? 7 What is 49467 to the power of 1/10, to the nearest integer? 3 What is 28250 to the power of 1/2, to the nearest integer? 168 What is the square root of 154632 to the nearest integer? 393 What is the ninth root of 1725 to the nearest integer? 2 What is the tenth root of 53098 to the nearest integer? 3 What is 616 to the power of 1/5, to the nearest integer? 4 What is 259 to the power of 1/3, to the nearest integer? 6 What is the third root of 7597 to the nearest integer? 20 What is 28027 to the power of 1/9, to the nearest integer? 3 What is 12826 to the power of 1/2, to the nearest integer? 113 What is the ninth root of 201 to the nearest integer? 2 What is the ninth root of 16752 to the nearest integer? 3 What is the fifth root of 6600 to the nearest integer? 6 What is the square root of 2765 to the nearest integer? 53 What is the third root of 14047 to the nearest integer? 24 What is 9430 to the power of 1/3, to the nearest integer? 21 What is 586 to the power of 1/2, to the nearest integer? 24 What is 6869 to the power of 1/4, to the nearest integer? 9 What is the fourth root of 3770 to the nearest integer? 8 What is the cube root of 4184 to the nearest integer? 16 What is the square root of 28598 to the nearest integer? 169 What is the seventh root of 1431 to the nearest integer? 3 What is the cube root of 4853 to the nearest integer? 17 What is 2730 to the power of 1/4, to the nearest integer? 7 What is the square root of 85621 to the nearest integer? 293 What is the tenth root of 1351 to the nearest integer? 2 What is the cube root of 3320 to the nearest integer? 15 What is the fifth root of 4560 to the nearest integer? 5 What is the cube root of 319 to the nearest integer? 7 What is 20203 to the power of 1/4, to the nearest integer? 12 What is the third root of 92862 to the nearest integer? 45 What is 42430 to the power of 1/7, to the nearest integer? 5 What is 1344 to the power of 1/6, to the nearest integer? 3 What is the cube root of 8213 to the nearest integer? 20 What is 74601 to the power of 1/10, to the nearest integer? 3 What is the square root of 2497 to the nearest integer? 50 What is 5169 to the power of 1/2, to the nearest integer? 72 What is 3334 to the power of 1/4, to the nearest integer? 8 What is the square root of 2403 to the nearest integer? 49 What is 45642 to the power of 1/3, to the nearest integer? 36 What is 41297 to the power of 1/2, to the nearest integer? 203 What is 374 to the power of 1/2, to the nearest integer? 19 What is the third root of 6114 to the nearest integer? 18 What is 19959 to the power of 1/3, to the nearest integer? 27 What is 1652 to the power of 1/2, to the nearest integer? 41 What is the fourth root of 3608 to the nearest integer? 8 What is 113143 to the power of 1/3, to the nearest integer? 48 What is 9035 to the power of 1/2, to the nearest integer? 95 What is the cube root of 2122 to the nearest integer? 13 What is the seventh root of 80835 to the nearest integer? 5 What is the square root of 2102 to the nearest integer? 46 What is 6411 to the power of 1/3, to the nearest integer? 19 What is the seventh root of 58885 to the nearest integer? 5 What is the cube root of 6175 to the nearest integer? 18 What is the cube root of 7775 to the nearest integer? 20 What is the square root of 37459 to the nearest integer? 194 What is the tenth root of 646 to the nearest integer? 2 What is the third root of 77140 to the nearest integer? 43 What is 1370 to the power of 1/3, to the nearest integer? 11 What is the cube root of 36364 to the nearest integer? 33 What is the third root of 882 to the nearest integer? 10 What is the square root of 5171 to the nearest integer? 72 What is the square root of 5129 to the nearest integer? 72 What is the ninth root of 94 to the nearest integer? 2 What is 813 to the power of 1/10, to the nearest integer? 2 What is 35133 to the power of 1/5, to the nearest integer? 8 What is 462 to the power of 1/2, to the nearest integer? 21 What is 4089 to the power of 1/2, to the nearest integer? 64 What is the seventh root of 421 to the nearest integer? 2 What is 8695 to the power of 1/4, to the nearest integer? 10 What is the square root of 26223 to the nearest integer? 162 What is the square root of 798 to the nearest integer? 28 What is the third root of 2059 to the nearest integer? 13 What is 629 to the power of 1/2, to the nearest integer? 25 What is 7017 to the power of 1/3, to the nearest integer? 19 What is the third root of 6580 to the nearest integer? 19 What is the sixth root of 19812 to the nearest integer? 5 What is 9012 to the power of 1/2, to the nearest integer? 95 What is the fifth root of 5277 to the nearest integer? 6 What is 25394 to the power of 1/2, to the nearest integer? 159 What is the third root of 127540 to the nearest integer? 50 What is the seventh root of 25777 to the nearest integer? 4 What is the cube root of 4061 to the nearest integer? 16 What is the square root of 4873 to the nearest integer? 70 What is the square root of 1588 to the nearest integer? 40 What is the cube root of 4126 to the nearest integer? 16 What is the seventh root of 66227 to the nearest integer? 5 What is the square root of 2340 to the nearest integer? 48 What is 55 to the power of 1/4, to the nearest integer? 3 What is 2532 to the power of 1/2, to the nearest integer? 50 What is the
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of 5267149? 1 What is the tens digit of 203392? 9 What is the ten thousands digit of 194082? 9 What is the thousands digit of 2608534? 8 What is the units digit of 3104706? 6 What is the hundreds digit of 4102804? 8 What is the hundred thousands digit of 2478716? 4 What is the hundreds digit of 6591? 5 What is the ten thousands digit of 622484? 2 What is the hundred thousands digit of 468593? 4 What is the hundreds digit of 996704? 7 What is the hundred thousands digit of 1121077? 1 What is the units digit of 777940? 0 What is the units digit of 3716638? 8 What is the hundreds digit of 5236612? 6 What is the ten thousands digit of 1135601? 3 What is the ten thousands digit of 137504? 3 What is the units digit of 943777? 7 What is the thousands digit of 591716? 1 What is the tens digit of 102251? 5 What is the units digit of 5606360? 0 What is the ten thousands digit of 2423953? 2 What is the millions digit of 7275879? 7 What is the millions digit of 3599817? 3 What is the ten thousands digit of 58823? 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7 What is the units digit of 8
{ "pile_set_name": "DM Mathematics" }
5*r + 0*r - 2. Give j(4). -6 Let c(w) = w**3 + 6*w**2 + 45*w + 19. Let o be c(-10). Let z = o - -837. Let k(n) = -n**3 + 8*n**2 - 9*n + 4. Give k(z). 22 Let j(c) = 9*c**2 + 21*c - 12*c - 1 - 11*c - 9*c**3 - 6*c**2 - 2*c**3. Give j(2). -81 Suppose -1 = -4*p + 11. Let y(s) = s - p - 8*s + 5*s. Let n be ((-952)/272)/((-1)/(-2)). Determine y(n). 11 Let p(b) = -b + 3. Let c be p(3). Suppose -1 = o - c*o. Let t(r) = 333*r + 2. Let v(a) = -166*a - 1. Let i(s) = 2*t(s) + 4*v(s). Determine i(o). -2 Let c = 1519 + -1523. Let d(w) = 3*w**3 + 4*w**2 + 4*w + 17. Let g(s) = 13*s + s**3 + 50 + 7*s**3 + 14*s**2 - s**2. Let v(h) = c*g(h) + 11*d(h). Calculate v(9). -4 Let z(t) = -607 + 5*t + 1027 - 419. Suppose 2*y = 6*y - 8. Determine z(y). 11 Let r(p) = -13*p**3 + 8*p**2 + 12*p + 2. Let j(b) = 13*b**3 - 9*b**2 - 15*b - 2. Let q(t) = -2*j(t) - 3*r(t). Give q(-2). -118 Let j be -5*1*2/(-2). Suppose 111 = -r + 3*n, 0 = j*r - 0*n + n + 539. Let c = 117 + r. Let h(g) = g**3 - 8*g**2 - 8*g - 5. Determine h(c). 4 Let q(b) be the second derivative of -1/6*b**3 - 17*b + 0 - 7/2*b**2. Suppose 6 + 34 = -5*k. Determine q(k). 1 Let q(h) be the second derivative of -7*h**2 + 5/3*h**3 - 182*h - 1/12*h**4 + 0. Give q(8). 2 Let o(g) be the second derivative of -g**4/12 - g**3/6 - g**2/2 - g. Let c be 11/(-6) + -2 - (-997)/(-5982). Calculate o(c). -13 Suppose 0 = -13*w + 3*w + 14720. Let i(h) = -w + 1462 + h + 3*h - 3*h. Let d be 0/(0 - 2/(-1)). Determine i(d). -10 Let r = -34 + 40. Let u(z) = 16*z**3 - 2*z**3 - r*z**3 + 1 + 2*z**2 - 5*z**3 + 2*z. Calculate u(-1). -2 Let b(r) be the first derivative of r**4/2 - r**3/3 - 5*r**2/2 + 3*r - 112. Let g be b(2). Let d(x) = -x**2 - x + x + 5*x + 4. Determine d(g). 4 Let c = 319 + -316. Let s(t) be the third derivative of -t**6/120 + t**5/15 - t**4/8 - t**3/2 - 5*t**2 - 14. Determine s(c). -3 Let h(c) = -3*c + 2*c + 7*c**2 + 0*c - 2. Let b(s) = -5934*s - 94945. Let f be b(-16). What is h(f)? 6 Let x(p) = 6*p**3 - 34*p**2 + 8*p - 23. Let v(y) = 5*y**3 - 24*y**2 + 7*y - 23. Let s(i) = -5*v(i) + 4*x(i). Give s(-16). 71 Let y(a) = -6*a**2 - 104*a - 899. Let h(v) = -v**2 - 18*v - 150. Let b(l) = 13*h(l) - 2*y(l). Calculate b(-8). -8 Let a be 362/12 + (-1)/6. Let c be 1/(4 + (-117)/a). Let f(y) be the third derivative of y**5/60 - 11*y**4/24 + y**3 - 4*y**2 - 28*y. Give f(c). -4 Let q(t) = -8*t**2 + 48*t - 155. Let c(f) = -3*f**2 + 25*f - 81. Let d(p) = -5*c(p) + 2*q(p). Give d(-32). -1 Let k = 34224 + -34226. Let h(w) = 2*w**3 + 3*w**2 + 8*w + 22. Determine h(k). 2 Let d(l) = 4*l**2 + 3*l - 4. Let n be d(1). Let u be -9 + ((-15)/(-9) - (-1)/n). Let x(r) = -3*r - 2. Give x(u). 19 Let b(d) be the second derivative of 1/12*d**4 + 5/6*d**3 + 3/2*d**2 + 0 + 12*d. Let o be 3*(20/(-30))/((-4)/(-6)). Give b(o). -3 Let d(o) be the first derivative of o**3/3 + 3*o**2 + 5*o + 2233. Let v(p) = p**3 + 6*p**2. Let k be v(-6). Suppose k = 5*m + 5 + 15. Determine d(m). -3 Let g be ((-54)/(-21) - -1) + 20/(-35). Suppose 0 = -p - 4*f - 4, 3*p = g*f + 19 - 1. Let r(z) = 2*z + 1. Give r(p). 9 Let q(x) be the third derivative of -x**5/10 + x**4/12 + x**3/6 + 51*x**2 - 6. Let u be (1 - 1)*6/12. Let i be -1 - u/(3/(-3)). Calculate q(i). -7 Let x(h) = -2*h - 13. Let a(g) = 5*g**2 + 10*g - 11. Suppose p + 8 = -3*p, 3*s - 5*p + 5 = 0. Let f be a(s). Let b = f + -74. Calculate x(b). 7 Suppose 9*d = -14*d + 20608. Let p = d - 895. Let v(t) = -22*t**3 + t**2. Calculate v(p). -21 Let f(h) = h**3 + 9*h**2 + h + 13. Let r = -45 + 47. Let w(t) = t - r - 3*t + t + 0*t. Let i be w(7). Calculate f(i). 4 Let r(y) = y - 7. Let l be 2 - -2 - (-16 + 17). Suppose 2*p = c - 1, -l*c + 3*p + 7 + 2 = 0. What is r(c)? -2 Suppose -3*j + j - l = -27, 0 = -2*j + 2*l + 18. Let a(t) = -t. Let c(u) = u**3 - 11*u**2 - 14*u - 16. Let v(y) = 3*a(y) - c(y). Calculate v(j). 4 Let r(l) be the first derivative of l**4/4 + 8*l**3/3 + 5*l**2/2 - 6*l - 5. Let c be (7 + -12 + 1)*6/(-4). Suppose c = -7*h - 43. Determine r(h). 8 Let f(b) be the second derivative of 1/20*b**5 + 2 + 7*b + 2*b**2 + 0*b**3 + 1/3*b**4. Determine f(-3). 13 Suppose 4*o + 18 = 2*l, -3*l - 2*l = 5*o - 30. Let z(s) be the first derivative of -s**3/3 + 9*s**2/2 + 4*s - 2642. Calculate z(l). 18 Let s = 52707 - 52713. Suppose 3*o = -5*a - 21, 4*a + 2*o + 22 = -3*o. Let n(r) = -5*r - 1. Let u(h) = -h + 1. Let j(m) = a*u(m) + n(m). Calculate j(s). 8 Suppose 2*i + 0 = 4. Let r = -3064 - -3062. Let a be 0 + i*r/(-3)*3. Let c(z) = -z + 6. Determine c(a). 2 Let g be (4 + 2)/12 - (-15)/2. Let f(s) = 0*s - g + 2*s - 2*s - 2*s. Let j be f(-3). Let o(x) = -x**3 + x**2 + 2*x + 1. Give o(j). 9 Let b(k) be the second derivative of -3*k**5/20 - k**4/3 - k**3/2 + k**2 + k + 355. What is b(-2)? 16 Let x(n) = 37*n - 10. Let s(p) = 306*p - 81. Let l(d) = -4*s(d) + 33*x(d). Let z be ((-2 + -5)/7)/(3/(-21)). Calculate l(z). -27 Suppose -4960 = 61*j - 575*j + 694. Let m(n) = n + 12. Let q(u) = 2*u + 13. Let f(z) = 4*m(z) - 3*q(z). Determine f(j). -13 Let r = -3196 - -3225. Let a(s) = -s**3 + 29*s**2 - s + 16. Calculate a(r). -13 Let p(t) = -t**2 + 14*t - 10. Let n(b) = 3. Let s(a) = 4*n(a) + p(a). Give s(13). 15 Suppose -23 = 3*q - 14. Let o(a) = a. Let s(n) = -9*n + 6. Let p(g) = o(g) - s(g). Let w(f) = 7*f - 4. Let i(c) = 5*p(c) - 7*w(c). Calculate i(q). -5 Let t(z) = -z**2 - 7*z + 5. Let o be 1/(-12) - (-19437)/396. Suppose -o*q + 19 = 362. Determine t(q). 5 Let z(n) = n**2 - 20*n + 28. Let a be (-4)/(-9)*2106/52. Determine z(a). -8 Let n(i) = -2*i + 10. Let v be n(-7). Suppose b = -4*h, -4*h + 2*b = -3*b + v. Let k be ((-8)/(-4) - 3)*(h - -1). Let m(q) = -q**3 + q. Give m(k). 0 Let g be 42 - (-2 + 40)/1. Let n(i) be the first derivative of -i**4/4 + 4*i**3/3 + i**2 - i + 1. Determine n(g). 7 Suppose 0 = 5*z + 19 - 194. Suppose 0*f = f - 5*m - 7, -5*f - 4*m + z = 0. Let x(r) = r**2 - 7*r - 6. What is x(f)? -6 Let w(p) = 31029 + 31054 - 2*p - 62129. What is w(-14)? -18 Let x(q) = q**2 - q - 20. Let m be ((-5)/15)/((-6)/126). Give x(m). 22 Suppose 2*i = 5*i - 18. Let g(u) = 37*u**2 - 4*u - 4. Let m(x) = -46*x**2 + 4*x + 6. Let p(t) = 10*g(t) + 8*m(t). Calculate p(i). 32 Let n(o) = -o**3 - 6*o**2 + 9*o - 4. Suppose 6*h - 87 = -27. Suppose 2*y = -3*g - 7, 2*y + 3*g = 4*y + 13. Let i be (-62)/h - (-4)/y. Calculate n(i). -18 Let q be ((-5)/2)/(2 - 6/4). Let y(d) = 2*d**3 + d - 1. Let c(t) = 3*t**3 + t**2 + 2*t - 1. Let n(k) = q*y(k) + 4*c(k). Give n(-2). -5 Let j be -8 + 2 + -1 + 0. Let b(x) = -173*x + x**2 + 63*x + 1 + 55*x + 65*x. What is b(j)? -20 Suppose -555 = -2*y - 3*i, -14*i = y - 13*i - 276. Let h(x) = 267 + y + x - 534. What is h(5)? 11 Let q be 10*(-3)/18*36/(-20). Let y be (q/(-4))/(6/(-16)). Let x(b) = 2*b**3 + b**2 + 1. Give x(y). 21 Suppose -600*o = 3*i - 603*o + 39, 0 = 2*i - 5*o + 38. Let r(w) be the second derivative of -w**3/6 + 7*w**2/2 + w. Calculate r(i). 16 Let h = 13103/5 - 26201/10. Let n(l) be the first derivative of -4/3*l**3 + 3 - h*l**2 - 1/4*l**4 - 4*l. Determine n(-4). 0 Suppose 7*i - 30 = -9. Let h(c) = -c + 5*c - 74 + i*c + 71. Calculate h(3). 18 Let n(i) = -33*i**2 - 39*i + 2. Let h be n(-1). Let r(m) = -m**3 + 9*m**2 - 6*m + 12. Determine r(h). 28 Suppose -5*z = -2*z - 12. Let x(y) be the second derivative of 27*y + 0 + 1/6*y**3 - 3/2*y**2. Give x(z). 1 Let p(i) = 4 - 2*i + 2 - 4 - i**2. Let r(a) = -2*a**2 + 11*a + 22. Let c be r(7). Let w be 7*4/28 + c. Calculate p(w). -6 Let q(b) be the first derivative of -132 - 1/2*b**2 + 11*b. Calculate q(5). 6 Let h(a) = 13*a - 3*a**2 + a - 1 - 15*a. Suppose 0 = -4*s - 20, -3*s - 9 = -x + 5. Give h(x). -3 Let z(x) be the first derivative of x**2/2 + 6*x - 1. Let p(w) = -2*w - 5. Let l(k) = 9*k + 202. Let y be l(-23). Let n(d) = y*z(d) - 4*p(d). Determine n(7). 11 Let n(u) = 15*u**3 + 8*u**2 - u - 58. Let l(b) = -17*b**3 - 9*b**2 + b + 66. Let c(w) = -8*l(w) - 9*n(w). Suppose 0 = 3*v - 4*v. Give c(v). -6 Suppose -5*k = -r + 23, -6*k - 55 = -5*r - k. Let x(g) = -3*g + 1. Determine x(r). -23 Let h(s) = -s + 27. Let u be h(22). Let c(w) = 1692 + 4*w - 1688 - u*w. Determine c(-5). 9 Suppose 42*l = 51*l - 1269. Let h = l + -135. Let b(m) = -2*m + 6. Give b(h). -6 Let r(g) = -2*g + 5. Let z(m) = m - 3. Let o(s) = -3*r(s) - 5*z(s). Let q(n) = -6*n + 17. Let d(h) = -4*o(h) - q(h). What
{ "pile_set_name": "DM Mathematics" }
when 2348 is divided by 40. 28 What is the remainder when 118 is divided by 60? 58 What is the remainder when 27 is divided by 21? 6 Calculate the remainder when 77 is divided by 43. 34 Calculate the remainder when 1824 is divided by 83. 81 What is the remainder when 511 is divided by 64? 63 What is the remainder when 514 is divided by 130? 124 Calculate the remainder when 502 is divided by 24. 22 Calculate the remainder when 25 is divided by 8. 1 Calculate the remainder when 148 is divided by 74. 0 What is the remainder when 161 is divided by 34? 25 What is the remainder when 1896 is divided by 50? 46 Calculate the remainder when 868 is divided by 39. 10 What is the remainder when 165 is divided by 30? 15 What is the remainder when 137 is divided by 44? 5 What is the remainder when 403 is divided by 19? 4 What is the remainder when 10284 is divided by 187? 186 Calculate the remainder when 2236 is divided by 21. 10 Calculate the remainder when 107 is divided by 37. 33 Calculate the remainder when 115 is divided by 40. 35 Calculate the remainder when 358 is divided by 13. 7 What is the remainder when 1300 is divided by 432? 4 What is the remainder when 1255 is divided by 17? 14 Calculate the remainder when 394 is divided by 192. 10 What is the remainder when 336 is divided by 26? 24 Calculate the remainder when 4729 is divided by 10. 9 Calculate the remainder when 407 is divided by 25. 7 What is the remainder when 8384 is divided by 65? 64 What is the remainder when 47 is divided by 40? 7 What is the remainder when 74 is divided by 21? 11 Calculate the remainder when 862 is divided by 496. 366 Calculate the remainder when 110 is divided by 93. 17 Calculate the remainder when 316 is divided by 25. 16 Calculate the remainder when 1679 is divided by 8. 7 What is the remainder when 1627 is divided by 181? 179 Calculate the remainder when 507 is divided by 51. 48 Calculate the remainder when 1951 is divided by 63. 61 Calculate the remainder when 39 is divided by 14. 11 Calculate the remainder when 1844 is divided by 13. 11 What is the remainder when 508 is divided by 94? 38 What is the remainder when 732 is divided by 2? 0 Calculate the remainder when 533 is divided by 40. 13 What is the remainder when 87 is divided by 10? 7 Calculate the remainder when 594 is divided by 102. 84 What is the remainder when 230 is divided by 43? 15 What is the remainder when 197 is divided by 100? 97 What is the remainder when 1368 is divided by 126? 108 What is the remainder when 2478 is divided by 207? 201 Calculate the remainder when 455 is divided by 17. 13 Calculate the remainder when 194 is divided by 52. 38 What is the remainder when 6478 is divided by 15? 13 What is the remainder when 31 is divided by 5? 1 What is the remainder when 99 is divided by 40? 19 What is the remainder when 1511 is divided by 101? 97 What is the remainder when 2549 is divided by 44? 41 What is the remainder when 9553 is divided by 65? 63 What is the remainder when 3847 is divided by 154? 151 Calculate the remainder when 413 is divided by 13. 10 What is the remainder when 121 is divided by 17? 2 Calculate the remainder when 1343 is divided by 48. 47 Calculate the remainder when 3148 is divided by 175. 173 Calculate the remainder when 828 is divided by 64. 60 Calculate the remainder when 278 is divided by 77. 47 Calculate the remainder when 898 is divided by 17. 14 Calculate the remainder when 207 is divided by 61. 24 What is the remainder when 184 is divided by 134? 50 Calculate the remainder when 142 is divided by 54. 34 What is the remainder when 278 is divided by 4? 2 What is the remainder when 1723 is divided by 114? 13 What is the remainder when 17 is divided by 6? 5 What is the remainder when 1176 is divided by 24? 0 Calculate the remainder when 319 is divided by 142. 35 What is the remainder when 945 is divided by 130? 35 Calculate the remainder when 126 is divided by 25. 1 What is the remainder when 95 is divided by 15? 5 Calculate the remainder when 1863 is divided by 64. 7 What is the remainder when 1123 is divided by 108? 43 What is the remainder when 1031 is divided by 68? 11 Calculate the remainder when 1504 is divided by 56. 48 Calculate the remainder when 4040 is divided by 47. 45 Calculate the remainder when 19 is divided by 3. 1 What is the remainder when 68 is divided by 3? 2 Calculate the remainder when 1451 is divided by 33. 32 Calculate the remainder when 65 is divided by 11. 10 What is the remainder when 1228 is divided by 338? 214 Calculate the remainder when 510 is divided by 25. 10 Calculate the remainder when 175 is divided by 15. 10 Calculate the remainder when 618 is divided by 42. 30 What is the remainder when 43 is divided by 15? 13 What is the remainder when 383 is divided by 40? 23 Calculate the remainder when 136 is divided by 38. 22 Calculate the remainder when 2759 is divided by 216. 167 What is the remainder when 31 is divided by 14? 3 What is the remainder when 300 is divided by 134? 32 Calculate the remainder when 119 is divided by 56. 7 Calculate the remainder when 2923 is divided by 86. 85 What is the remainder when 149 is divided by 50? 49 What is the remainder when 3179 is divided by 12? 11 Calculate the remainder when 33847 is divided by 403. 398 Calculate the remainder when 6461 is divided by 16. 13 Calculate the remainder when 471 is divided by 75. 21 Calculate the remainder when 801 is divided by 40. 1 What is the remainder when 74 is divided by 50? 24 Calculate the remainder when 910 is divided by 131. 124 What is the remainder when 3908 is divided by 170? 168 What is the remainder when 3189 is divided by 21? 18 Calculate the remainder when 124 is divided by 22. 14 Calculate the remainder when 417 is divided by 119. 60 Calculate the remainder when 82 is divided by 28. 26 Calculate the remainder when 53 is divided by 31. 22 Calculate the remainder when 166 is divided by 33. 1 Calculate the remainder when 2893 is divided by 100. 93 Calculate the remainder when 9174 is divided by 19. 16 Calculate the remainder when 125 is divided by 14. 13 Calculate the remainder when 727 is divided by 21. 13 What is the remainder when 2177 is divided by 11? 10 Calculate the remainder when 127 is divided by 37. 16 Calculate the remainder when 3129 is divided by 18. 15 What is the remainder when 649 is divided by 132? 121 Calculate the remainder when 441 is divided by 24. 9 Calculate the remainder when 895 is divided by 218. 23 What is the remainder when 487 is divided by 159? 10 What is the remainder when 1577 is divided by 518? 23 Calculate the remainder when 83 is divided by 33. 17 What is the remainder when 630 is divided by 4? 2 Calculate the remainder when 3378 is divided by 308. 298 Calculate the remainder when 6038 is divided by 18. 8 What is the remainder when 102 is divided by 6? 0 Calculate the remainder when 1944 is divided by 954. 36 What is the remainder when 6852 is divided by 11? 10 What is the remainder when 243 is divided by 83? 77 Calculate the remainder when 383 is divided by 11. 9 What is the remainder when 868 is divided by 5? 3 Calculate the remainder when 261 is divided by 17. 6 Calculate the remainder when 1004 is divided by 40. 4 Calculate the remainder when 956 is divided by 11. 10 What is the remainder when 6082 is divided by 3? 1 What is the remainder when 846 is divided by 77? 76 What is the remainder when 2265 is divided by 12? 9 Calculate the remainder when 1258 is divided by 35. 33 What is the remainder when 7708 is divided by 513? 13 What is the remainder when 110 is divided by 38? 34 Calculate the remainder when 46766 is divided by 37. 35 What is the remainder when 372 is divided by 5? 2 Calculate the remainder when 120 is divided by 41. 38 What is the remainder when 364 is divided by 53? 46 Calculate the remainder when 233 is divided by 56. 9 What is the remainder when 100 is divided by 47? 6 Calculate the remainder when 948 is divided by 313. 9 What is the remainder when 494 is divided by 71? 68 Calculate the remainder when 7 is divided by 5. 2 What is the remainder when 2081 is divided by 18? 11 Calculate the remainder when 165 is divided by 52. 9 Calculate the remainder when 256 is divided by 79. 19 What is the remai
{ "pile_set_name": "DM Mathematics" }
e (12/36)/((-2)/84*2). Let c be ((-26922)/(-1278))/y + (-3)/(-1). Which is smaller: 1 or c? c Let r be 1/(-36)*(-8970)/(-5060). Is 1 equal to r? False Suppose w = f + 3, -10*f = -5*f + 20. Let y be -1 + w + (1 - -2 - -9). Suppose -6*o + 4*o + 18 = 0. Which is greater: y or o? y Let l(j) = 12*j**2 + 5*j + 4. Let u be l(-5). Suppose -b + u = 79. Is b at least as big as 198? True Suppose -3*q - 32 = 5*p, 13*q = 11*q - 3*p - 20. Let f = -95/3 + 1787/57. Is q at least as big as f? False Suppose -h - 32 = 4*j, 8*j - 6*j + 16 = -h. Do h and -1/39 have the same value? False Let p = 28 + -26. Suppose -2*r - 15 + 5 = 4*m, -r - p = -m. Let l = 95/1098 + 3/122. Is l greater than or equal to m? True Let n(v) = -8*v**2 - 92*v - 129. Let b be n(-6). Which is smaller: b or 133? 133 Suppose -85*a = -77*a + 32. Let i be a/(5 - 1)*84. Which is smaller: -87 or i? -87 Let j = -859918/13 - -59550. Let r = -6601 - j. Is r <= -2? True Let h(s) = s**2 + 4*s - 31. Let p be h(-8). Suppose 3*t + 4*n + 29 = 0, 2*n + 6 = -4. Let r be t/21*8/(-28). Which is smaller: p or r? r Let g = 21 - 8. Let m be (1 - -1) + g + -6. Suppose -6 = -3*q - m. Which is smaller: 1 or q? q Let y be (-1 - (-74)/14)/(6072/41538). Which is bigger: 29 or y? y Let z = 828 - 481. Let f = z - 384. Is f <= 5? True Suppose 0 = 10*h - 6*h, 5*p = -h. Let z be (-84)/63525*(-15)/6. Which is smaller: p or z? p Let v = -625 - -625.047. Let g = -7.653 + 8. Let h = g - v. Which is smaller: -2 or h? -2 Let f be 1/(-2) - (-25)/2. Let d = -89 - -158. Let q = d + -56. Which is smaller: q or f? f Let v be 25/((-75)/(-18)) + (-1668)/(-2). Is v greater than 839? True Suppose -2336*j + 2354*j = 0. Is 3/20908 > j? True Suppose 5*k = -k + 66. Suppose k*z = 7*z. Let f be z + (-674)/(-7) + 42/(-147). Is 96 smaller than f? False Let d(m) = 6*m + 282. Let s be d(-47). Let b be ((-148)/(-21719))/(-2 - s/(-1)). Which is smaller: -1 or b? -1 Suppose -5*p = -5*g + 400, -143 - 122 = -3*g - 2*p. Is g < 59? False Let r = 1.02 - 0.69. Let o = r + -6.33. Is -18 >= o? False Let v(h) = -6*h**2 + 42*h + 20. Let b(m) = 13*m**2 - 86*m - 41. Let y(a) = 2*b(a) + 5*v(a). Let s be y(10). Is s less than or equal to -23/14? True Let o be -30445*(-2)/400*5*(7 - -1). Is 6088 less than o? True Let h be ((-6)/83571)/((-6 - -7)/(-1)). Let d = h - 10585678/250713. Which is greater: d or 1? 1 Let i(o) = o**3 + 14 + 6*o**2 + 10 - 25 + 6*o. Let q be i(-5). Let z be 4*(2 - 3) - 1. Which is smaller: q or z? q Let m(n) = 31*n + 4. Let q(s) = 46*s + 6. Let w(j) = 7*m(j) - 5*q(j). Let k be w(6). Suppose 14*v + v = -1215. Which is smaller: v or k? v Suppose 3*u + 5*w = 8 + 10, -5*u + 2*w = 1. Suppose 1 = -h - u. Let d = 4 - -13. Is d less than or equal to h? False Suppose n + 3 = -4*x + 11, -4*x + 28 = -4*n. Let z = 64 + -34. Let o be (-1)/5 - (-36)/z. Are o and x unequal? True Let f = 0.18797 + 49.81203. Which is greater: f or -4? f Let t = -52965/4 + 13174. Let o be 3/(36/272)*3. Let b = o + t. Which is smaller: b or -1? -1 Suppose -4*l + 7*l + 287 = -5*t, 5*l + 473 = -3*t. Let q be ((-2)/l)/((98/(-21))/(-14)). Which is smaller: q or 1? q Let f be (-32)/(-4) - (5 + (-3 - -5)). Is f at least as big as 1/897? True Suppose -10*x - 3*x + 26 = 0. Suppose -2*o + 23 = -k, -5*k + x*o + 3*o = 90. Which is smaller: k or -11? k Let y = 1937 + -1924. Which is bigger: 570/43 or y? 570/43 Suppose -4*u + 11 + 37 = 0. Suppose 0 = -8*w + 2*w + 18. Let n = w - u. Which is bigger: n or -8? -8 Let s be -1*((-8438)/5 + 188/(-470)). Which is bigger: s or 1685? s Let p(d) = -d + 9. Let t be p(-1). Let n be (-2)/3*36*t/5. Which is greater: n or -46? -46 Let o(j) = 3*j**3 - 9*j**2 - 18*j - 2. Let s be o(-2). Let f = 3 + -31. Let i = s - f. Which is smaller: i or -5? -5 Let p be -4*3/(-9) + 2. Suppose -8*s + 50 = 2*s. Suppose z - 18 = 5*x, z = -2*z + s*x + 24. Is p > z? True Let z be (-7 - -12 - -1) + (-47)/8. Let o = -96 - -92. Which is greater: o or z? z Let q = 8.3758 + -186.4488. Let w = q - -178. Which is bigger: 0 or w? 0 Let z be (-3)/(6/29880*10). Which is bigger: z or -1495? z Let j = 90615/181222 + -2/90611. Which is greater: 1530 or j? 1530 Let u = -7.6 - 13.7. Let h = -21 - u. Is h at least -0.1? True Let g be (-2377)/(-1044) + -1 - 166/664 - 1. Which is smaller: -1 or g? -1 Let w = -8567 + 8469. Which is greater: w or 4/23? 4/23 Suppose 2*o - 4*n - 24 = 0, -13 = -5*o + 2*n + 15. Let r be (18/(-27))/(o/3). Let u be 5 + -4 + -1 - 6/(-9). Does u = r? False Let s = -16022 + 16024. Is 122/203 less than s? True Let v(z) = -2*z**2 - 5*z + 35. Let h(l) = l**2. Let d(n) = h(n) + v(n). Let a be d(-9). Let f be 288/(-1947) - 2/(-11). Is a less than or equal to f? True Let j be -2 - 50455/(-23920) - 18/288. Which is greater: 0 or j? j Let o = -5 - -29. Suppose -m - 2*m = -4*x + o, -5*x = 0. Let t(b) = b**3 + 9*b**2 + 6*b - 17. Let a be t(m). Which is smaller: a or -1/12? a Let z = -1.8 - -2. Let r = 61 + -61.172. Let n = r + 0.372. Is z bigger than n? False Suppose -3*p = 2245 - 2233, -k = 5*p + 1144. Which is smaller: -14610/13 or k? k Let d = -4151 - -3968. Which is smaller: d or 0.1? d Let w = 1.61152 + -0.11152. Is 1/24 equal to w? False Let z be 12/38*738/(-61623). Which is smaller: z or -1? -1 Suppose 275*g - 44239 - 9661 = 0. Is g != 154? True Let l(f) = 2*f**3 - 3*f**2 + 4*f - 1. Let v = -86 - -83. Let d(p) = 3*p**3 - 7*p**2 + 8*p - 3. Let q(i) = v*d(i) + 5*l(i). Let h be q(-8). Is -92 > h? False Let w(v) = 18*v. Let y(j) = -j**2 + 9*j - 8. Let d be y(7). Suppose -3*x + 5 = -p + d, 0 = -x - 5*p - 11. Let n be w(x). Is -18 > n? False Let i be 3/((-135)/(-6)) - 1510/75. Let q = -5.12 - -0.12. Which is bigger: i or q? q Let o = -2558 - -2472. Which is smaller: o or 1.4? o Let x(z) = 2*z**2 - 2*z + 1. Let y be x(2). Suppose r + 3*k = 5*r - 26, 5*r - 3*k - 31 = 0. Let j be y + -43 + 10/r. Is j <= -37? False Let t(x) = x**2 - 3*x - 12. Let a be t(-5). Suppose -12 = -3*p, -3*j + 5*p = -a - 6. Let g be (j + -16)*(-1 - (-2)/4). Which is smaller: -10/31 or g? g Let n = -707 - -697. Is -3/103 < n? False Let i(x) = -14*x**2 + 1. Let r be i(-1). Let o(w) = -6*w + 127. Let n be o(21). Let z = n - r. Is z at least as big as 27/2? True Let r be (-1 + -2)*(24 - 26) - (2 - -2). Are 152/145 and r nonequal? True Suppose 4*t = -0*t + 68. Suppose -2*k + 0*c - t = -c, k = c - 10. Let q = 2350 - 2358. Which is greater: q or k? k Suppose 0 = -3*z - 3, 5*w - w - 3*z - 35 = 0. Suppose -4*g = 4*s - w, -4*s = g + 2*g - 9. Is g at most 1/6? True Let r = 38 - 23. Let n(s) = -249*s**3 - 3*s**2 + 3*s - 2. Let h be n(1). Let k = 267 + h. Which is bigger: r or k? k Let s(p) = -p**2 - 190*p + 3223. Let k be s(16). Is k at least as big as -1256/17? True Let u(v) = 13*v**2 - 6*v + 6. Let p be u(6). Is p equal to -12? False Let j = -61 - -61. Suppose -11*d + 448 + 1620 = j. Let n = -572/3 + d. Which is smaller: n or -3? -3 Suppose -5*t = -3*c - 76, -7*c + 5*t = -2*c + 120. Let s be ((-11)/c)/(2/(-12)). Let g = -0.3 + -1.7. Is g at most s? False Let l(b) = 4*b + 73. Let y be l(-17). Let h be (-1 + y)/4 - -6. Let q(k) = k**3 - 7*k**2 + 2*k - 15. Let w be q(h). Which is greater: w or 5/19? 5/19 Suppose 48 = 8*s - 2*s. Let q be 708/s*16/12. Suppose -q = 3*t - 1. Is t not equal to -38? True Let s(t) = -2*t**2 + 9*t. Let y be s(0). Suppose y = -57*d + 56*d. Is 1/427 equal to d? False Suppose -f + 5*b - 21 = 9*b, 4*f - 21 = 5*b. Which is smaller: -30/163 or f? f Let l be (-6)/(-21) + (-40)/91. Let y(j) = 52*j - 50. Let f be y(1). Let n be (-1 - 1)/(19/((-19)/f)). Which is smaller: n or l? l Let d = 11357 - 11004. Is d < 352? False Let p be 0 + (1 - (-1)/3 - 114/72). Which is greater: p or -2127? p Let g(r) = -5*r + 44. Let d be g(0). Let m = d - -18. Which is smaller: 64 or m? m Suppose 139*z = 25*z + 13*z - 311080. Which is greater: z or -9238/3? -9238/3 Suppose -s - 1 = -2*x, 2*x + x = 4*s - 11. Let j(a) = -3*a**2 - 44*a - 29. Let o be j(-14). Let y be (o + 12/x)*17/(-3). Which is bigger: -18 or y? y Let k(g) = -11*g**2 + g - 1. Let o be k(1). Suppose 4*x = 4*i + 1768, 1728 = -4*i - 11*x + 7*x. Let f = i + 425. Which is greater: o or f? o Suppose 3*z - t + 1188 + 4611 = 0, 5*z + 3*t = -9651. Let a = z - -36700/19. Which is smaller: a or 1? a Let n = -42059/44 + 10380/11. Which is greater: -0.036 or n? -0.036 Let
{ "pile_set_name": "DM Mathematics" }
**5/4 - 49*i**4/12 + 4*i**3 + 1657*i**2. Determine u so that j(u) = 0. -12/5, 2/3, 1 Let v(q) be the third derivative of 0*q**3 + 1/1512*q**8 + 0*q**5 + 3*q**2 + 0*q**4 + 0*q + 2/945*q**7 - 1/180*q**6 - 7. Let v(k) = 0. Calculate k. -3, 0, 1 Let z(n) be the third derivative of n**5/240 + 359*n**4/48 - 719*n**3/24 + 469*n**2 - 8. Solve z(a) = 0. -719, 1 Let t(z) = -z**3 - 19*z**2 - 59*z + 15. Let s be t(-15). Solve 3*p + 12*p + s*p + 4*p**2 - 7*p + 0*p = 0. -2, 0 Let f be -7 + ((1470/(-9))/7 - -19)*18/(-10). Solve 2/5*s**5 + 16/5*s**3 - 18/5*s + 8/5 - 12/5*s**4 + f*s**2 = 0 for s. -1, 1, 4 Let z(m) be the second derivative of -1/57*m**3 + 1/114*m**4 + 1/190*m**5 - 1/285*m**6 + 0*m**2 + 51 - 2*m. Factor z(q). -2*q*(q - 1)**2*(q + 1)/19 Let g(f) = -4*f - 1 + 2*f - 22*f**2 + 16*f**2 + f**3 + 4*f**2. Let o(q) = -4*q**3 + 68*q**2 - 438*q - 1154. Let k(d) = -2*g(d) - o(d). Factor k(m). 2*(m - 17)**2*(m + 2) Let a(h) be the first derivative of -5*h**3/3 + 1895*h**2/2 + 1900*h + 1020. Determine r so that a(r) = 0. -1, 380 Suppose 493*p + 9*u + 266 = 498*p, 0 = 4*p - 3*u - 154. Factor -p + 1/2*r**2 + 55/2*r. (r - 1)*(r + 56)/2 Let t(z) be the first derivative of -9*z**3 - 1617*z**2 + 720*z + 8912. Solve t(b) = 0 for b. -120, 2/9 Let j(m) = 23*m**2 - 2*m - 1. Let i(y) = 70*y**2 + 595*y + 1791. Let v(p) = -5*i(p) + 15*j(p). What is c in v(c) = 0? -598, -3 Let d(z) = 3*z**3 - 140*z**2 + 89*z + 140. Let h be d(46). Factor 10/3*b + 2/3*b**4 - 10/3*b**3 - 2/3*b**h + 0. 2*b*(b - 5)*(b - 1)*(b + 1)/3 Let g be (2 + -4)/((-20)/50). Suppose -3*r = 9, g*m - 7*r - 16 = -5*r. Factor 5/2*y + 15/4*y**3 + 25/4*y**m + 0. 5*y*(y + 1)*(3*y + 2)/4 Let o be (196/(-20) - -10)*(-1 + (-4)/(-3)). Let h(r) be the second derivative of -2/3*r**4 + 0 + o*r**5 - 16/3*r**2 + 2*r + 8/3*r**3. Factor h(l). 4*(l - 2)**3/3 Let t be (-5)/3*3*(-24)/20. Factor -39*a + 5*a**2 + 90 + t*a**2 - 14*a**2 + 6*a**2. 3*(a - 10)*(a - 3) Let x(b) be the first derivative of b**5/12 + 11*b**4/18 + 23*b**3/18 + b**2 + 61*b - 5. Let a(q) be the first derivative of x(q). Determine l so that a(l) = 0. -3, -1, -2/5 Suppose 0 + 3/5*a**4 - 12/5*a**3 - 6/5*a + 3*a**2 = 0. Calculate a. 0, 1, 2 Let q be 291*5*(46/(-3) - -15). Let k = q - -535. Solve -6*m**2 - k + 2/5*m**3 + 30*m = 0. 5 Let a(l) = -3*l**4 - 22*l**3 - 33*l**2 - 18*l. Let x(y) = 22*y**3 + 19*y**3 - 62*y**3 + 20*y**3. Let b(r) = -a(r) + 4*x(r). Factor b(n). 3*n*(n + 1)*(n + 2)*(n + 3) Let t(x) be the first derivative of -5*x**6/6 - 99*x**5 - 6705*x**4/2 - 56590*x**3/3 - 28905*x**2/2 + 99405*x - 1625. Suppose t(k) = 0. Calculate k. -47, -3, 1 Let q(c) be the second derivative of -c**5/200 + 373*c**4/40 - 139129*c**3/20 + 51895117*c**2/20 + 291*c. Factor q(p). -(p - 373)**3/10 Let v(g) be the first derivative of -35 - 1/10*g**5 + 19*g**2 + 1/40*g**6 + 0*g**3 + 1/8*g**4 + 0*g. Let s(m) be the second derivative of v(m). Factor s(i). 3*i*(i - 1)**2 Let f = 1288 - 1280. Suppose -n - 4*a = -f*a - 6, 0 = -4*n + 4*a + 12. Let 3/2*k**n + 11/4*k + 3/2 + 1/4*k**3 = 0. What is k? -3, -2, -1 Let k = 36292 + -181456/5. Solve -4/5*l**2 - 2/5*l + k*l**4 + 2/5*l**5 + 0 + 0*l**3 = 0 for l. -1, 0, 1 Let r(o) be the second derivative of -o**7/294 + o**6/30 + 41*o**5/140 + 11*o**4/28 - 2*o + 2243. Let r(x) = 0. What is x? -3, -1, 0, 11 Let j(p) be the first derivative of 12/7*p**3 - 9/14*p**4 + 3/35*p**5 + 28 + 9/7*p - 15/7*p**2. Solve j(a) = 0. 1, 3 Let d(w) be the second derivative of -w**4/48 + 487*w**3/12 + 975*w**2/8 + 80*w + 9. Find r such that d(r) = 0. -1, 975 Let o(n) be the first derivative of 7*n**5/60 + n**4/12 - 5*n**2/2 + 2*n - 114. Let v(x) be the second derivative of o(x). Factor v(w). w*(7*w + 2) Let i(f) be the first derivative of -3*f**5/5 - 9*f**4/2 - 9*f**3 - 426. Determine t so that i(t) = 0. -3, 0 Let a = 3184/545 + -568/545. Suppose -36/5 - 3/5*c**2 + a*c = 0. Calculate c. 2, 6 Let n(k) be the second derivative of -9*k**4/4 + 19*k**3 - 60*k**2 - 1125*k. Determine i so that n(i) = 0. 2, 20/9 Let v = -2157 + 3142. Find t, given that -v*t - 20 + 1010*t - 4*t**2 - t**2 = 0. 1, 4 Let u(y) = -7*y**3 - 27*y**2 + 558*y + 3518. Let f(t) = -50*t**3 - 190*t**2 + 3905*t + 24625. Let o(a) = 2*f(a) - 15*u(a). Solve o(s) = 0 for s. -8, 11 Let j = 2258 - 2254. Let c be (j - (-4 + 11)) + 7. Factor -4/7*t**2 + 0 + c*t. -4*t*(t - 7)/7 Suppose -141*v - 75 = -10*b - 146*v, -3*b - 5*v + 40 = 0. Solve -6300*p + 3610*p**2 - 2881/9*p**3 - 1/9*p**b + 92/9*p**4 + 3000 = 0. 1, 30 Let g(n) = -3*n**3 - 35*n**2 + 77*n - 39. Let u(f) = 12*f**3 + 141*f**2 - 309*f + 156. Let l(p) = -9*g(p) - 2*u(p). Determine s so that l(s) = 0. -13, 1 Suppose -8*y = -3*y. Factor -h**2 + 16 + 2*h**3 + y - 5*h**2 - 1650*h + 1638*h. 2*(h - 4)*(h - 1)*(h + 2) Let b = -42233 + 168017/4. Let n = 229 + b. Find v such that -n*v**2 - 1/4 + 1/2*v = 0. 1 Let c be 0*(-3 - 0)/6. Let n be c + 0 - (3 + -143)/5. Solve -12*o**4 + 69 - 69 - 8*o**2 - n*o**3 = 0. -2, -1/3, 0 Let j(i) be the third derivative of -7*i**8/72 - 107*i**7/9 + 506*i**6/15 + 2548*i**5/45 - 1012*i**4/9 + 208*i**3/3 + i**2 - 516. Solve j(x) = 0. -78, -1, 2/7, 2 Let m(k) be the second derivative of -k**5/30 + k**4/4 + 6*k**3 + 71*k**2 - 9*k - 5. Let p(d) be the first derivative of m(d). Solve p(t) = 0 for t. -3, 6 Let o(z) be the third derivative of z**5/80 - 7*z**4/32 - 39*z**3/4 - 1121*z**2 - 1. Factor o(h). 3*(h - 13)*(h + 6)/4 Let i(j) be the third derivative of -3*j**2 + 7/270*j**5 + 10*j + 0 - 1/54*j**4 + 0*j**3. Factor i(h). 2*h*(7*h - 2)/9 Let t(f) be the second derivative of -35*f**4/12 + 100*f**3/3 + 30*f**2 - 1190*f. What is h in t(h) = 0? -2/7, 6 Solve -15*u + 0 - 5/2*u**5 + 149/2*u**2 + 11/2*u**3 - 29/2*u**4 = 0. -5, -3, 0, 1/5, 2 Let c be (-18)/(-33) - (72/48)/((-44)/(-8)). Let s(n) be the first derivative of 1/33*n**3 - 1/44*n**4 + c*n + 39 + 5/22*n**2. Factor s(y). -(y - 3)*(y + 1)**2/11 Let d(u) be the first derivative of -u**9/5292 + u**8/980 - 2*u**6/315 - 25*u**3/3 - 56. Let x(j) be the third derivative of d(j). Factor x(l). -4*l**2*(l - 2)**2*(l + 1)/7 Let q(i) be the first derivative of 2*i**5/65 - 3*i**4/26 - 4*i**3 + 80*i**2/13 + 3645. Solve q(p) = 0. -8, 0, 1, 10 Factor 5/3*c**2 + 460/3 + 155*c. 5*(c + 1)*(c + 92)/3 Solve -436/13 + 2/13*r**2 + 214/13*r = 0. -109, 2 Let b(a) be the first derivative of -a**4/18 + 22*a**3/27 + 5*a**2 - 126*a + 2915. Solve b(k) = 0. -7, 9 Let h(q) be the third derivative of q**8/504 + q**7/35 - 5*q**6/36 - 173*q**5/90 - 20*q**4/3 - 100*q**3/9 - 1830*q**2. Determine m, given that h(m) = 0. -10, -2, -1, 5 Let r(c) be the third derivative of c**6/360 + 2*c**5/45 + 2*c**4/9 - 1987*c**2. Suppose r(q) = 0. What is q? -4, 0 Let u = 3953/154674 - -1/11898. Let l(m) be the second derivative of 16*m + 0*m**2 + 0 - 1/39*m**3 + u*m**4 - 1/130*m**5. What is t in l(t) = 0? 0, 1 Find t, given that 644/17*t + 2/17*t**2 - 38 = 0. -323, 1 Let k(t) be the first derivative of -9*t**5/70 + 5*t**4/6 - 32*t**3/21 - 4*t**2/7 - 70*t - 12. Let x(d) be the first derivative of k(d). Factor x(j). -2*(j - 2)**2*(9*j + 1)/7 Factor -557/4 - 279/2*q - 1/4*q**2. -(q + 1)*(q + 557)/4 Let s(d) = -2*d**2 - 49*d - 11. Let l be s(-24). Suppose -l*p - 25 = -18*p. Let -16/5*a**2 - 24/5*a**3 - 16/5*a**4 + 0 - 4/5*a - 4/5*a**p = 0. What is a? -1, 0 Let j(d) = -3*d**2 + 4*d + 2. Let b be j(0). Let f(m) be the third derivative of -41*m**b + 0*m + 5/132*m**4 - 3/22*m**3 + 0 - 1/660*m**5. Solve f(t) = 0. 1, 9 Let v(c) be the first derivative of -c**4/22 - 100*c**3/33 + 104*c**2/11 + 6890. Solve v(x) = 0 for x. -52, 0, 2 Let i(s) = -512*s**3 - 2771*s**2 + 33*s - 23. Let q(n) = -64*n**3 - 342*n**2 + 4*n - 3. Let y(w) = 3*i(w) - 23*q(w). Find h such that y(h) = 0. -7, 0, 1/64 Let k = -1151 - -1149. Let g be (-1722)/(-336) + (-1 + -6 - k). Factor 5/8*d + 0 - g*d**3 + 1/2*d**2. -d*(d - 5)*(d + 1)/8 Factor -34/13*v**2 - 2/13*v**3 - 6 - 110/13*v. -2*(v + 1)*(v + 3)*(v + 13)/13 Let u(l) be the second derivative of -87*l + 1/42*l**4 - 5/7*l**2 + 0 - 4/21*l**3. Suppose u(k) = 0. What is k? -1, 5 Let p = 161305/2016 + -9205/96. Let u = p + 148/9. Determine r so that -2/7*r**5 + u*r + 10/7*r**2 + 0 - 2/7*r**4 + 6/7*r**3 = 0. -1, 0, 2 Let a be (32/(-6))/((-21)/63). Suppose 15*j = 11*j + a. Let 3 - 9*p**j - 8 - 7*p**4 + 10*p**2 + 11*p**4 = 0. Calcu
{ "pile_set_name": "DM Mathematics" }
88)*1))*-3)**2. -216*sqrt(2) + 2601 Simplify 5 + (4*sqrt(220))/sqrt(5) + -5*(-1*sqrt(1584) - sqrt(1584))**2 + 5. -31670 + 8*sqrt(11) Simplify ((-1 + (sqrt(1377)*1 - sqrt(17)))**2 + sqrt(51)/(sqrt(21)/(sqrt(14)/sqrt(2))))*-5. -5445 + 75*sqrt(17) Simplify 6*(-4 + ((sqrt(192) - (-1 + sqrt(192)))*6 - sqrt(192)) + 2). -48*sqrt(3) + 24 Simplify ((sqrt(204)*-1 - sqrt(204))*3 - (-1*sqrt(204) - sqrt(204))*-5)/(sqrt(1452)*-2 + sqrt(1452) - (sqrt(1200)*1 + sqrt(1200) - sqrt(12))). 8*sqrt(17)/15 Simplify (sqrt(3388)*-2 + 5*sqrt(448))/(sqrt(36)*4*-4). sqrt(7)/24 Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117) - sqrt(117)*-1))*1)))/sqrt(3))/(sqrt(30)/(-6*sqrt(30)/sqrt(3))). -12*sqrt(13) Simplify sqrt(44)/(sqrt(64)*2) - (5*(sqrt(11) + -1) + 4). -39*sqrt(11)/8 + 1 Simplify 2*sqrt(1700) + -3 + -1 + (3*(2*sqrt(1700) + 0))**2. 20*sqrt(17) + 61196 Simplify 3 + (5 + (2 + sqrt(9072))*3)**2. 2376*sqrt(7) + 81772 Simplify -3 + sqrt(156)/sqrt(3)*-4 + ((sqrt(117) - (sqrt(117) - (sqrt(117) - 1*-1*sqrt(117))))/(-1*sqrt(1296)))**2. -8*sqrt(13) - 95/36 Simplify ((-5*(0 + sqrt(162)) + sqrt(162))**2 + (1 + sqrt(2) + -1 + sqrt(2) - (sqrt(40)/sqrt(2) - sqrt(20))/sqrt(10)))*-1. -2592 - 2*sqrt(2) Simplify (4 + ((-3*sqrt(242))/sqrt(11))/(2*sqrt(18))*-2)**2. 8*sqrt(11) + 27 Simplify -5*(-4 + (sqrt(396)*-2)**2 + (-1*(sqrt(396) + sqrt(396) + -2))**2 + 1). -15845 + 240*sqrt(11) Simplify (3 + (0 + sqrt(1700) + sqrt(1700))*-3 + 4)*-4 + -1. -29 + 240*sqrt(17) Simplify -4*(-3 + -2 + -2*sqrt(76)). 20 + 16*sqrt(19) Simplify (sqrt(119)/sqrt(63)*2)**2 + ((sqrt(17) - (sqrt(17) + sqrt(68) + sqrt(17)))*4)**2 + (-3 + -1 + sqrt(17))**2. -8*sqrt(17) + 22397/9 Simplify (sqrt(600)*2)/(sqrt(12) + (sqrt(12) - (sqrt(72) - (sqrt(72) - sqrt(72)*-3) - sqrt(72))/sqrt(6))) + -1. -1 + 5*sqrt(2)/3 Simplify ((-2*sqrt(5) - sqrt(5)) + 3)**2 - (sqrt(20)*1 + sqrt(5) - sqrt(5))**2 - 4*sqrt(1125). -78*sqrt(5) + 34 Simplify ((sqrt(252) - (sqrt(252) + sqrt(252) + sqrt(252) + (sqrt(252) - (2*sqrt(252) + sqrt(252)))))*-3)/sqrt(9) + (4*(sqrt(336)*-2 + sqrt(336)))/sqrt(12). -8*sqrt(7) Simplify 2*(-6*sqrt(6912)*1 - 2*(-1 + sqrt(6912)))**2. -3072*sqrt(3) + 884744 Simplify -5*((-1*sqrt(5) + -4 - sqrt(30)/sqrt(6)*4)*-5)**2. -17625 - 5000*sqrt(5) Simplify (-4 + -5*(-1 + sqrt(180) + 3 + -5))**2. -660*sqrt(5) + 4621 Simplify (sqrt(7) + sqrt(252)/sqrt(9) + 0 - sqrt(567)/(sqrt(18)/sqrt(2))) + 1. 1 Simplify sqrt(190)/(sqrt(60)/sqrt(6)) - (-3*sqrt(209) + sqrt(209))/sqrt(11) - (-4*(1 + sqrt(475) + sqrt(475) - sqrt(475)) - 1*1*sqrt(475))**2. -11891 - 197*sqrt(19) Simplify -1*((4*((sqrt(153) - sqrt(153)*-2) + sqrt(153)))/sqrt(9) - -5*(sqrt(17) + 2*sqrt(833) + sqrt(833))). -126*sqrt(17) Simplify (sqrt(500) + 0)*-6*3*-3. 540*sqrt(5) Simplify 2 + (-1*sqrt(432))**2 + sqrt(48) + sqrt(3) + 4 + -1 + -3. 5*sqrt(3) + 434 Simplify ((sqrt(77) - -5*(1*sqrt(77) + sqrt(77))) + (sqrt(77)*-2 + sqrt(77) + sqrt(77))*4)/(-4*sqrt(396)*-4). 11*sqrt(7)/96 Simplify (0 + sqrt(288) + -4 - ((-2 + sqrt(288))*3)**2)*-2. -888*sqrt(2) + 5264 Simplify 2*((sqrt(720) + sqrt(720) + 0 - sqrt(720))*-5 + -5 + sqrt(720)*-3)**2. 1920*sqrt(5) + 92210 Simplify (sqrt(128) - (sqrt(128) + -6*(sqrt(128) + 1*sqrt(128))) - sqrt(128))**2 + (6*1*sqrt(72) + sqrt(72))/sqrt(9). 14*sqrt(2) + 15488 Simplify ((-3*sqrt(76)*1)/sqrt(4) + 4*(0 + sqrt(19))*4)**2. 3211 Simplify (-1 + -2*sqrt(11) + 5)**2 + 1 + (0 + sqrt(11))**2 + 0. -16*sqrt(11) + 72 Simplify ((-2*sqrt(1053)*2)**2 + sqrt(65)/(-2*sqrt(5)) + 5)*-6. -101118 + 3*sqrt(13) Simplify ((sqrt(70)*-1)/sqrt(5))/sqrt(7) - (1 + (sqrt(242) + -1 - sqrt(242) - sqrt(242)) + sqrt(242)). -sqrt(2) Simplify sqrt(36)/sqrt(3)*2*4 - ((0 + sqrt(75))*-5 - (sqrt(75) + -2*(1 + sqrt(75)) - sqrt(75))). -2 + 31*sqrt(3) Simplify (5*(sqrt(156) + (sqrt(156) + sqrt(156) + 1*sqrt(156) - sqrt(156)))/(sqrt(147) - -2*sqrt(147)))**2. 1300/49 Simplify ((sqrt(117) + (sqrt(117) - 2*sqrt(117)) + sqrt(117))*3 + sqrt(117)*2*5)/(((sqrt(27)*-2)/sqrt(3) + sqrt(9))*2). -13*sqrt(13)/2 Simplify 0 + sqrt(72) + 1 + (sqrt(20)/(sqrt(10) - (sqrt(490) + (sqrt(490) - sqrt(490)*1) + sqrt(490))))**2. 171/169 + 6*sqrt(2) Simplify (5*sqrt(63)*-1 + sqrt(63))/(-2*sqrt(9)*-4). -sqrt(7)/2 Simplify -2 + ((sqrt(144) - (-1*sqrt(144)*5 + sqrt(144))) + sqrt(144) + sqrt(144) + sqrt(144) - sqrt(144))/(sqrt(8)*-2*-2). -2 + 21*sqrt(2)/4 Simplify 2*(sqrt(60)*-1)/(-1*sqrt(363)). 4*sqrt(5)/11 Simplify ((((sqrt(72) + -2*sqrt(72))*-1)/sqrt(3))/((sqrt(8) - (sqrt(32) - sqrt(512))/sqrt(4))*6))**2 + -5. -959/192 Simplify (sqrt(66)/(sqrt(126)/sqrt(7) - sqrt(2)))/(sqrt(55)/(sqrt(320) + (sqrt(320) - sqrt(320)*-3) + sqrt(5))). 41*sqrt(3)/2 Simplify (4 + (0 + sqrt(1539))*3)**2 + -5 + sqrt(1539) + ((2 + (-1 + sqrt(1539) - sqrt(1539)) - sqrt(1539))**2 - sqrt(1539)). 198*sqrt(19) + 15402 Simplify (-2*(0 + sqrt(300))**2 + (((sqrt(300) + 0 + sqrt(300))*4)**2 - sqrt(300)) + sqrt(300))*-2. -37200 Simplify (sqrt(209)*-2*-5*2)/((sqrt(539) - (sqrt(539) + sqrt(539) + (sqrt(539) - sqrt(539)*-2) + sqrt(539) + sqrt(539)))*2). -5*sqrt(19)/21 Simplify -1*(((1*sqrt(539) + sqrt(539) - sqrt(539)) + sqrt(539) + sqrt(539))**2 + -4) - (6*sqrt(176) + (sqrt(55)/(sqrt(15)/sqrt(3)) - sqrt(11))). -4847 - 24*sqrt(11) Simplify ((-3*(sqrt(245)*-1 - sqrt(245)) - sqrt(245) - sqrt(245))/sqrt(5))/(6*-6*(sqrt(28) + sqrt(7))) + -3. -3 - sqrt(7)/27 Simplify (-4 + (1*sqrt(2057) - sqrt(2057)))**2 + (sqrt(68) + -4 + -2)**2. -24*sqrt(17) + 120 Simplify (5*sqrt(54) - sqrt(6))/(sqrt(147)*1) - (4 + 1*sqrt(128) + -4 + sqrt(128))**2. -512 + 2*sqrt(2) Simplify (sqrt(150)/(sqrt(60)/sqrt(294)))/((sqrt(15)*-1*-6 - sqrt(15))/sqrt(3)). 7*sqrt(3)/5 Simplify (sqrt(102)/sqrt(3))/sqrt(2) - (3 + sqrt(17)*-2) - sqrt(68)/(-1*sqrt(576)). -3 + 37*sqrt(17)/12 Simplify (sqrt(12) - (sqrt(12) + 5 + sqrt(60)/sqrt(5)))**2 - (sqrt(240) - sqrt(240)*3)/sqrt(5). 37 + 28*sqrt(3) Simplify -5 + ((sqrt(4840)*-1 + sqrt(4840))/(sqrt(512) - sqrt(512)*-3))**2. -5 Simplify (-3*((sqrt(15)/sqrt(3) + sqrt(5) + -2)*5 - (sqrt(605) + 1 - (sqrt(5) + 1*sqrt(180) + sqrt(5)))))**2. -1386*sqrt(5) + 3294 Simplify 6*(-3*-1*(1 + sqrt(13)) + (sqrt(52)/sqrt(4) + 5)*-2)**2. -84*sqrt(13) + 372 Simplify ((sqrt(228) - (sqrt(228) + sqrt(228)*1)*-5) + sqrt(228) + sqrt(228))/(-3*sqrt(84)/sqrt(7)). -13*sqrt(19)/3 Simplify (-4*sqrt(66)/sqrt(6)*-5)**2 + sqrt(88)/((sqrt(8) - 2*sqrt(8))*2). -sqrt(11)/2 + 4400 Simplify ((2 + sqrt(3))*3 + -3 + ((0 + sqrt(3))*-5 - sqrt(27)/sqrt(36)))**2. -15*sqrt(3) + 111/4 Simplify (-1 + (1*sqrt(108)*5*4 - (6*1*sqrt(108) + 3)))**2. -672*sqrt(3) + 21184 Simplify (-1*(-6*sqrt(192)*3 + 4))**2 + -3. -1152*sqrt(3) + 62221 Simplify 6*((sqrt(18) + (1*sqrt(72))/sqrt(4))/(sqrt(96)/sqrt(4) + sqrt(6)))**2*-2. -16 Simplify -3 + 3*(sqrt(847) + -5 + 1 + sqrt(847)). -15 + 66*sqrt(7) Simplify sqrt(20)/sqrt(64) + 5 + ((sqrt(560) + sqrt(35) - sqrt(35))*-6)/sqrt(7) + 1. -95*sqrt(5)/4 + 6 Simplify (-2 + -2*(sqrt(243) + sqrt(3)))**2 - (5*sqrt(300) + 1). 30*sqrt(3) + 1203 Simplify ((sqrt(931) + sqrt(931) + 0)*-4 + -3 + 4*(sqrt(931) + -1)*-4 + 2)**2. -5040*sqrt(19) + 536481 Simplify 1 + -5*-5*(-2 + (sqrt(80) - (sqrt(80) + (sqrt(80) + 0)*-3 - sqrt(80)))**2). 31951 Simplify (sqrt(1872)*4 + 1)**2 + (sqrt(1872) - ((sqrt(1872) + 5 + sqrt(1872) - sqrt(1872)) + -1)**2). 12*sqrt(13) + 28065 Simplify sqrt(68)*-2*-4 + -2*sqrt(68)*-1 - ((sqrt(68) - (1 + sqrt(68) + sqrt(68))*1) + sqrt(68) + -5). 6 + 20*sqrt(17) Simplify (4 + sqrt(7)*-1 + sqrt(42)/sqrt(24) + 0)**2 - ((sqrt(252) - (-1 + (sqrt(252)*-1 + sqrt(252) - sqrt(252))))*3)**2. -36253/4 - 220*sqrt(7) Simplify (sqrt(1960) + (sqrt(1960)*-1 + sqrt(1960))*2)/(-1*sqrt(8)*-1 + sqrt(8) + sqrt(48)/sqrt(96)). 28*sqrt(5)/9 Simplify (sqrt(1575)*-1 + 4 - (-6*sqrt(672))/(sqrt(60)/sqrt(40)))**2. 264*sqrt(7) + 7639 Simplify ((1*5*sqrt(33)/sqrt(3)*-2)**2 + -1)*5 + 3. 5498 Simplify (sqrt(63)/sqrt(576) + sqrt(2016)/sqrt(8)*-5)*1. -239*sqrt(7)/8 Simplify 3 + sqrt(833) + (sqrt(833) - (sqrt(833)*2 + 0))**2 + (4 + sqrt(833) + (2*sqrt(833) + sqrt(833) - sqrt(833)) + sqrt(833))**2 + -5. 231*sqrt(17) + 14175 Simplify (1 + -1*sqrt(539)*1*-2 + 5)**2. 168*sqrt(11) + 2192 Simplify -5 + 5 + (sqrt(17) + sqrt(17) + (3*sqrt(204))/sqrt(12) + -1 + sqrt(2448))**2. -34*sqrt(17) + 4914 Simplify (-2*(-1 + (sqrt(891) + -2*sqrt(891) + 2)*-4)*6)**2. -93312*sqrt(11) + 2064528 Simplify (
{ "pile_set_name": "DM Mathematics" }
98 What is next in 1533, 3065, 4593, 6117? 7637 What is the next term in -669, -886, -1117, -1362, -1621, -1894? -2181 What comes next: -514, -493, -474, -457, -442, -429? -418 What is the next term in -13673, -54707, -123097, -218843, -341945, -492403? -670217 What is next in -6693209, -6693208, -6693207, -6693206, -6693205, -6693204? -6693203 What is the next term in -32069, -32068, -32069, -32072, -32077? -32084 What is the next term in 67450, 134925, 202418, 269929, 337458? 405005 What comes next: -4178, -4180, -4182, -4184? -4186 What comes next: -4406221, -4406217, -4406211, -4406203, -4406193, -4406181, -4406167? -4406151 What is next in 1317, 1300, 1273, 1236, 1189, 1132, 1065? 988 What comes next: 117505, 235009, 352513, 470017? 587521 What is the next term in 165, 704, 1617, 2904, 4565? 6600 What is next in 8, -5, -10, -13, -20, -37, -70? -125 What comes next: -322, -596, -870, -1144? -1418 What is the next term in 56696, 56691, 56686, 56681, 56676, 56671? 56666 What is next in -135, -248, -363, -480, -599, -720? -843 What is next in -123, -1057, -3605, -8577, -16783, -29033? -46137 What is next in -623, -468, -317, -170, -27? 112 What comes next: 317, 382, 447, 512, 577? 642 What is the next term in 23132, 23139, 23160, 23201, 23268? 23367 What is the next term in -1380, -1382, -1384, -1386, -1388, -1390? -1392 What is next in 379, 360, 321, 244, 111, -96? -395 What is the next term in 1693, 1665, 1591, 1447, 1209, 853? 355 What comes next: -70692, -70698, -70704, -70710, -70716, -70722? -70728 What is next in -3244, -3262, -3282, -3304, -3328, -3354, -3382? -3412 What is next in -12567, -25096, -37623, -50148, -62671? -75192 What is next in -3820, -3904, -4044, -4240, -4492? -4800 What is the next term in 2846, 2979, 3204, 3527, 3954, 4491? 5144 What is next in 69199, 138237, 207273, 276307, 345339, 414369? 483397 What is the next term in 1649, 3441, 5233, 7025, 8817, 10609? 12401 What is the next term in 231, 292, 437, 702, 1123, 1736, 2577, 3682? 5087 What comes next: -61, -248, -561, -1000, -1565, -2256? -3073 What comes next: -3331, -6367, -9401, -12433, -15463, -18491? -21517 What is next in -237, -1148, -3401, -7668, -14621, -24932, -39273, -58316? -82733 What is the next term in -1069832, -1069833, -1069834, -1069835, -1069836? -1069837 What is the next term in -4539, -4522, -4493, -4452, -4399, -4334, -4257? -4168 What is the next term in 2981, 6724, 11229, 16496, 22525? 29316 What comes next: 691, 1048, 1069, 754, 103? -884 What comes next: 512, 43, -438, -937, -1460? -2013 What comes next: -514422, -514420, -514418, -514416, -514414, -514412? -514410 What is the next term in -3307, -3451, -3691, -4027, -4459, -4987? -5611 What is next in -990, -1697, -2394, -3075, -3734? -4365 What is next in -24, 30, 124, 282, 528, 886? 1380 What is the next term in 1284, 1120, 858, 504, 64, -456, -1050? -1712 What is the next term in 2802, 11204, 25206, 44808, 70010, 100812? 137214 What comes next: 369, 390, 431, 498, 597? 734 What is the next term in -217345, -434679, -652009, -869335, -1086657? -1303975 What is the next term in 17423, 34666, 51909, 69152? 86395 What is the next term in 2452, 2371, 2286, 2197, 2104, 2007, 1906? 1801 What comes next: 1420, 2261, 3102, 3943, 4784, 5625? 6466 What is the next term in -1468, -1393, -1268, -1093, -868, -593? -268 What is next in -23417, -23427, -23439, -23453, -23469, -23487? -23507 What comes next: 593, 1286, 1979? 2672 What is the next term in 244, 271, 286, 289, 280, 259, 226? 181 What is next in 95, 557, 1345, 2465, 3923, 5725? 7877 What comes next: -22, 20, 92, 194, 326? 488 What is the next term in 128, 904, 3014, 7124, 13900, 24008? 38114 What is the next term in 172, 488, 942, 1528, 2240, 3072? 4018 What is the next term in -233, -433, -645, -875, -1129, -1413? -1733 What is next in -2385, -2394, -2419, -2466, -2541, -2650, -2799? -2994 What comes next: -53881, -107756, -161631, -215506, -269381? -323256 What comes next: 584, 838, 1090, 1334, 1564? 1774 What is the next term in -177682, -177681, -177678, -177673, -177666? -177657 What comes next: -3063, -6382, -9701, -13020, -16339? -19658 What is next in -299, -618, -937, -1256, -1575? -1894 What is the next term in -120685, -120683, -120681? -120679 What comes next: 9189, 9202, 9221, 9246? 9277 What is next in -40, 109, 258, 407, 556? 705 What comes next: 130, 265, 400? 535 What is next in -1581, -1490, -1399, -1308, -1217? -1126 What comes next: 595886, 1191769, 1787652, 2383535, 2979418, 3575301? 4171184 What is next in 2257, 2633, 3009? 3385 What comes next: 831040, 831048, 831060, 831076, 831096? 831120 What is the next term in -51963, -51968, -51977, -51990, -52007, -52028? -52053 What is the next term in -38703, -77417, -116131? -154845 What is the next term in -582, -1139, -1690, -2235, -2774, -3307? -3834 What is next in 1402, 1352, 1218, 958, 530? -108 What comes next: -958, -1910, -2844, -3748, -4610, -5418, -6160? -6824 What is the next term in 60, 238, 532, 942, 1468, 2110, 2868? 3742 What is the next term in 1720, 1694, 1628, 1504, 1304? 1010 What is the next term in -1745, -1851, -2027, -2273, -2589? -2975 What is next in -170331, -170329, -170327, -170325, -170323, -170321? -170319 What comes next: -5934, -11555, -17176, -22797, -28418, -34039? -39660 What comes next: 13116, 12889, 12672, 12471, 12292? 12141 What comes next: 1126, 2145, 3162, 4177? 5190 What is next in -14452, -14454, -14454, -14452, -14448, -14442? -14434 What comes next: -2762, -2761, -2760, -2759, -2758? -2757 What comes next: 23480, 23476, 23472, 23468? 23464 What is next in 204, 336, 384, 330, 156? -156 What is next in -950, -1012, -1040, -1016, -922? -740 What comes next: 5, 94, 295, 644, 1177? 1930 What comes next: -2424915, -4849829, -7274743, -9699657? -12124571 What comes next: 438, 1772, 3996, 7110? 11114 What comes next: 4320, 8624, 12930, 17238, 21548? 25860 What is next in -43, -55, -83, -121, -163, -203, -235, -253? -251 What comes next: -13742, -27466, -41190, -54914, -68638? -82362 What is next in -85, -91, 67, 473, 1211, 2365? 4019 What is next in -43330, -86681, -130032, -173383? -216734 What is next in 8000, 8130, 8260? 8390 What comes next: 91, 233, 395, 571, 755, 941, 1123? 1295 What comes next: 2473, 4958, 7459, 9976, 12509, 15058? 17623 What comes next: -104, -333, -880, -1907, -3576, -6049, -9488, -14055? -19912 What is next in -252, -880, -1884, -3264? -5020 What is the next term in 414218, 414219, 414220? 414221 What is the next term in 2274, 2275, 2276, 2277? 2278 What comes next: -1977, -2002, -2037, -2070, -2089, -2082, -2037? -1942 What comes next: 4004, 6512, 9020? 11528 What is next in -476, -469, -474, -503, -568, -681, -854? -1099 What comes next: 36119, 72225, 108315, 144383, 180423, 216429, 252395, 288315? 324183 What is next in -55, -28, 29, 128, 281, 500, 797? 1184 What is next in -153, -152, -145, -132, -113, -88, -57? -20 What comes next: -272, -241, -214, -203, -220, -277, -386, -559? -808 What comes next: -20524, -41080, -61636, -82192? -102748 What is next in -1533, -3082, -4643, -6216, -7801, -9398, -11007? -12628 What comes next: -362, -171, 20? 211 What is next in -67680, -67653, -67628, -67605, -67584, -67565, -67548? -67533 What comes next: -142, -2243, -5744, -10645, -16946, -24647, -33748? -44249 What comes next: -135, -231, -281, -261, -147? 85 What comes next: 3479, 27966, 94451, 223934, 437415, 755894, 1200371? 1791846 What is the next term in 21, 24, 21, 12? -3 What is next in -1672, -6727, -15166, -27001, -42244, -60907, -83002? -108541 What comes next: -407708, -815409, -1223108, -1630805, -2038500? -2446193 What is next in -10919, -21828, -32737, -43646, -54555, -65464? -76373 What is next in -187, -125, -57, 17, 97? 183 What comes next: -33459, -66909, -100353, -133791, -167223, -200649? -234069 What is the next term in 75, 387, 913, 1659, 2631? 3835 What is the next term in 3976, 8008, 12084, 16204? 20368 What is next in 278, 332, 422, 548, 710, 908, 1142? 1412 What is next in 235, 460, 685? 910 What is the next term in -1623, -1683, -1743? -1803 What is next in -127579, -255160, -382741? -510322 What comes next: 3772, 15087, 33946, 60349, 94296, 135787? 184822 What is the next term in
{ "pile_set_name": "DM Mathematics" }
t is the highest common factor of b and s? 17 Let w(o) = o + 7. Let l be w(-5). Let a be (-3 - 4 - -3) + 4. Let z = a - -16. What is the highest common divisor of l and z? 2 Let d = -1589 + 1761. Calculate the greatest common divisor of d and 1118. 86 Let w be (9/4)/((-42)/(-224)). Let s be w/(-18) + (-56)/(-3). Suppose 0*g - 90 = -2*g. What is the highest common divisor of g and s? 9 Let m(b) = -2*b + 88. Let d be m(41). What is the greatest common divisor of 534 and d? 6 Suppose 2687 = 5*y - 2813. What is the greatest common factor of 44 and y? 44 Suppose -14*v - 431 = 759. Let h be (-2 + -2)*(-23)/(-2). Let d = h - v. Calculate the greatest common divisor of 13 and d. 13 Suppose -5*m = -5*a - 95, 4*m + 2*a + 0*a - 70 = 0. Calculate the greatest common factor of m and 99. 9 Let n be (2/3 - (-1536)/(-9))/(-2). What is the highest common divisor of n and 255? 85 Suppose -50301 = -91*a + 10*a. Calculate the highest common factor of a and 23. 23 Suppose -k + 35 = -3*q, -3*k - 6*q = -2*q - 131. Calculate the greatest common divisor of k and 328. 41 Let k = -66 + 63. Let w(r) = 14*r**2 - 7*r - 11. Let a be w(k). What is the highest common factor of a and 17? 17 Suppose 75*n = 177*n - 1020. Suppose 4*h = h + 12. Let w be h/2 + (-26)/(-2). Calculate the greatest common factor of n and w. 5 Let c(i) = 6*i**2 + 4*i + 2. Let s be c(-3). Suppose 3*f - 76 = -28. Let l be f/6*(-4)/((-24)/9). Calculate the highest common factor of s and l. 4 Suppose 3*u = 5*u + 34. Suppose 0 = -9*k + 4*k + 165. Let r = u + k. What is the greatest common divisor of 144 and r? 16 Suppose 32*m = 26*m + 792. Suppose 0 = 3*g + d - 11 - 28, 5*d = -g + 27. What is the highest common factor of m and g? 12 Suppose 51 = 5*j - 369. Let n = -72 + j. Suppose -19 = 2*o - 283. Calculate the greatest common factor of n and o. 12 Let j(c) = -c - 17. Let y be j(-34). What is the highest common divisor of y and 1139? 17 Let q = 276 + -263. Calculate the greatest common factor of q and 247. 13 Let d be 38*-2*1/2. Let x = -25 - d. Suppose -3*v + 0*v = -3*h + 129, 59 = h - 5*v. What is the highest common factor of h and x? 13 Let g = -3 + 1. Suppose 0 = -4*i + 3*j - 175, 0 = -5*i + 2*j - 3*j - 195. Let x be (i/12)/(g/9). Calculate the greatest common factor of 10 and x. 5 Suppose 2*x + 4*x = 0. Suppose 76 = k - 2*p, x = k + 5*p - p - 46. Let t = -12 + 18. What is the highest common factor of t and k? 6 Let r(v) = 2*v**3 - 5*v**2 - 2*v. Let s be r(4). Calculate the greatest common factor of s and 1280. 40 Let f(o) = -o**2 + 36*o - 60. Let d be f(34). Suppose -3*r + 5*p = -4*r + 25, 5*p = -15. What is the greatest common divisor of r and d? 8 Let z be (-7*(-20)/(-70))/(6/(-129)). Calculate the greatest common divisor of z and 688. 43 Let q = -125 + 209. Let l be 8 + 42/10 + (-5)/25. What is the highest common divisor of q and l? 12 Suppose 2*c = -102 + 590. What is the highest common factor of 793 and c? 61 Let o = 875 - 872. Calculate the highest common divisor of o and 228. 3 Let s(n) = -n**3 - 16*n**2 - 29*n + 10. Let r be s(-14). Calculate the highest common factor of r and 33. 3 Let k(z) = z**2 - 12*z + 116. Let m be k(13). Calculate the greatest common divisor of 43 and m. 43 Let l be 2/(((-1)/5)/((-6)/(-15))). Let t be 876/54 + -5 + l/18. What is the greatest common factor of t and 22? 11 Suppose -5*d + 130 = i, -36*i = -37*i - 3*d + 124. What is the greatest common divisor of i and 5? 5 Let t be (-1)/(1/(-3))*(4 - 3). Let g(d) = 21*d + 5. Let q(p) = -p + 1. Let z(x) = g(x) - 6*q(x). Let f be z(t). What is the highest common divisor of f and 20? 20 Suppose 3*f = 5*m - 11, 0*m + 25 = 3*f + 4*m. Let d(w) = -5*w**2 + 2*w - 3 + w**3 - w**2 - 6. Let t be d(6). What is the highest common divisor of f and t? 3 Let m(w) = 4*w - 6. Let y be m(5). Let c(n) = 14*n**2 + 99*n + 14. Let i be c(-7). What is the highest common divisor of y and i? 7 Let z = -16 - -20. Let b(v) = v. Let c be b(-4). Let g be 2/((-2)/c*2). Calculate the greatest common divisor of z and g. 2 Let i(y) = -y. Let u(n) = -n**2 + 4*n + 5. Let x(w) = 3*i(w) + u(w). Let g be x(0). Suppose g*c - 8*c = -561. Calculate the highest common divisor of c and 17. 17 Let p = -433 - -640. Calculate the highest common factor of 9 and p. 9 Let t = 486 + -333. What is the highest common divisor of t and 51? 51 Let u(g) = g**2 - 11*g - 96. Let n be u(-12). What is the greatest common divisor of 240 and n? 60 Let t(x) = x**2 + 14*x + 13. Let l be t(-24). What is the greatest common divisor of l and 23? 23 Suppose 16*a + 10 = 18*a. Let z be (36/(-30) - (-1)/a) + 5. Calculate the greatest common divisor of z and 56. 4 Suppose 24*q + 46 = 190. What is the greatest common factor of 6 and q? 6 Suppose f - 112 = -2*j, 107 = 3*f - 5*j - 218. Let h = 56 - 51. Suppose -43 = -5*q - 2*a - 1, h*q - 62 = 3*a. What is the highest common factor of q and f? 10 Suppose 3*w - 40 = w. Suppose 11 = -4*y - 13. Let b = y + 16. Calculate the greatest common divisor of w and b. 10 Let l(h) = 2*h**2 - 4*h + 1. Let y be l(3). Let u be (66/y)/(20/140). Calculate the highest common factor of u and 6. 6 Suppose 7*y = -30*y + 12173. Calculate the greatest common divisor of y and 7. 7 Let q be (5 - -4) + -15 + 9. Calculate the highest common factor of 159 and q. 3 Let a = 156 - 32. Suppose 5*x + 4*f = 80 + 83, -2*x - 3*f = -68. Calculate the greatest common factor of x and a. 31 Suppose 360*i + 3240 = 364*i. What is the greatest common divisor of 210 and i? 30 Let d(l) = 2*l**2 - 12*l + 4. Let v be d(6). Suppose -v*j + 5 = -179. Suppose 3*w = o + j, 2*w - 4*o = -6 + 50. Calculate the highest common divisor of 7 and w. 7 Let j(z) = -2*z**3 - 5*z**2 + 7*z + 6. Let t be j(-6). Let b = 353 - 335. What is the highest common factor of t and b? 18 Let g = 1147 - 571. Calculate the highest common factor of 36 and g. 36 Suppose -o + 41 = -0*o. Let v = 117 - 76. What is the highest common divisor of v and o? 41 Let i = 271 - 158. Suppose i - 29 = 3*b. Suppose 5 = 2*p - 3. What is the highest common divisor of b and p? 4 Let f be (23/23)/((-2)/(-14)). Suppose -14 + f = -r. What is the highest common divisor of r and 21? 7 Suppose g - 2*m = 4*g + 95, 0 = -5*g + 3*m - 152. Let u = -22 - g. What is the greatest common divisor of 27 and u? 9 Suppose 3*k - 3*l = -0*k + 1539, l = 5*k - 2585. What is the highest common divisor of 370 and k? 74 Suppose -607 = -7*t + 989. Suppose 0 = -7*p + p + t. What is the highest common factor of 304 and p? 38 Suppose 8*y - 112 = -0*y. What is the highest common factor of y and 112? 14 Let u(f) = f**3 + 23*f**2 - 25*f + 8. Let t be u(-24). What is the greatest common divisor of 1 and t? 1 Let s = -1144 - -1903. Calculate the greatest common divisor of 11 and s. 11 Let v = -89 - -56. Let k = 12 + v. Let l be ((-50)/(-8))/(k/(-420)). Calculate the greatest common factor of l and 50. 25 Suppose -11 = h - 28. Let s(p) = -p**3 - 5*p**2 + 7*p - 15. Let d be s(-7). Calculate the greatest common factor of h and d. 17 Suppose 0 = 5*q - 23 - 27. Suppose 6*u + 104 = q*u. Suppose 2*x = x + u. What is the greatest common factor of x and 39? 13 Let g(k) = 7*k - k**2 + 5*k**2 + 12 - k**2. Let b be g(-5). Calculate the greatest common factor of b and 13. 13 Let f be -4*(199/(-2) + -1). Let m be (-278)/(-4) + (-15)/(-6). Suppose -2*b - m + f = 0. Calculate the highest common factor of 66 and b. 33 Let a = -171 - -179. Let j = -107 + 195. What is the highest common factor of j and a? 8 Suppose -257 = -3*k + 487. Suppose -s = -2, -4*l + 4*s = -0*s - k. Calculate the greatest common factor of l and 16. 16 Let o(k) = -3*k**2 - 3*k**2 + 2*k**2 + 5*k**2 - 3. Let q be o(3). Calculate the greatest common divisor of q and 18. 6 Let p be (-2 - 9)/(6/(-48)*4). Calculate the greatest common factor of 11 and p. 11 Let r(x) = 12*x + 6. Let p be r(3). Let y(u) = 64*u**2 - u. Let l be y(1). Calculate the greatest common factor of p and l. 21 Let b(d) = d. Let m be b(3). Suppose 2*s - m*z = 117, -s - 32 = 4*z - 107. Suppose 452 = -2*n + 466. What is the greatest common factor of s and n? 7 Suppose 2*c - 136 = 5*i, 0 = -2*c + 7*c - i - 294. Calculate the highest common factor of 464 and c. 58 Suppose -2*m = -12*m + 2290. Suppose -3*w = 3*k + k - 131, 4*k - m = -5*w. Calculate the highest co
{ "pile_set_name": "DM Mathematics" }
cond derivative of -b**3/6 - b**2 - 27*b. Let o be i(-2). Solve -k + o = -1 for k. 1 Let m be -1 - (4/1 - 7). Suppose -2*n - 2*n + 4 = 0. Suppose m*v + y = 4 + 5, -n = v - 5*y. Solve -u - 12 = -v*u for u. 4 Suppose 3*k - 4 = 2*k. Suppose 0 = -z + 3, k*w - z = 2*z + 15. Solve -4*i = -w*i + 4 for i. 2 Let q(s) = s**2 + 9*s + 2. Let z be q(-9). Let v be 8/z + -11 + 9. Solve -p = v*p - 9 for p. 3 Suppose 5*c - 2*r - 2 = 0, -11 = -2*r - 3. Let v(w) = w**3 + 6*w**2 + 5*w - 2. Let z be v(-4). Let m = -5 + z. Solve k + m = c*k for k. 5 Let i(v) = v**2 + 7*v + 13. Let t be i(-4). Let w(x) = 5*x**2 - x - 1. Let l be w(t). Solve 5*a - l*a = -8 for a. -4 Suppose 9*u - 8*u = 0. Suppose i + 2 = 3*x, -4*x - 2*i + 6 + u = 0. Let s(b) = b**2 + b - 1. Let k be s(x). Solve -2*z = -k - 3 for z. 2 Let l(g) = g**3 - 8*g**2 - 10*g + 9. Let a be l(9). Suppose 1 = -v - 5*f, 2*v - 5*v + 13 = -f. Solve a*m = m + v for m. -4 Let d be (-90)/(-25) + 6/(-10). Suppose 0 = -d*t - 3 + 6. Suppose 2*a - 1 = t. Solve -7 - a = 4*i for i. -2 Let v = 13 - 5. Let w(y) = -y**3 - 10 + 0*y**3 + 10*y**2 - v*y - 4 + 5. Let m be w(9). Solve k - 4 = -m for k. 4 Let m = -1 - -5. Suppose 0 = -y + m*j - 9, -3*j + 7 = -2. Solve -z + y = -4*z for z. -1 Let z(d) = -4*d - 13. Let k be z(-4). Suppose 6 = -23*g + 26*g. Solve -k*a - g = -a for a. -1 Suppose 4*b - 10 = -3*w, 4*w + b + 3*b = 8. Let a be -1 + (-52)/(2*w). Let y = 14 - a. Solve 4 = -r + y*r for r. 4 Suppose 3*y = 68 - 56. Solve -y*k - 5 = -5*k for k. 5 Let d(v) = -15*v**3 - v**2 - 5*v**2 - 7*v + 16*v**3 + 3. Let a be d(7). Let b = a - 1. Solve -b*i = i for i. 0 Let c(k) = -k**3 + 5*k**2 - 2*k - 5. Let t be c(4). Let b(d) = 31 - 2*d - 9 + d + 0*d. Let s be b(15). Solve t = 5*u - s for u. 2 Suppose -5 = -41*y + 39*y + u, y = 5*u - 11. Solve 3 - 23 = -y*o for o. 5 Let y(d) be the third derivative of 5*d**4/24 + 9*d**3/2 + 18*d**2. Let k be y(-5). Solve -k*l = -4*l + 8 for l. 4 Let g be ((-16)/10)/(-4 + (-90)/(-25)). Suppose -3*h + g = 5*n - 0*n, 0 = -5*h - 10. Solve 3*d - 1 = n*d for d. 1 Let i be (10/12)/(-10 - 305/(-30)). Solve 0*x = x + i for x. -5 Let s(f) = f - 9. Suppose -5*h = 5*x - 75, -3*h = -5*x + 10 - 39. Let w be s(h). Solve 5*g = w*g - 4 for g. -4 Let i(d) = -d**3 + 4*d**2 + 7*d - 2. Let z be i(5). Suppose -o - 7 = -3*o - n, -o + 4*n = -17. Suppose 0 = o*h - 9 - 21. Solve -4*g - z = -h*g for g. 4 Suppose -5*a + 13*p = 16*p - 290, -5*p = 0. Solve 2 = -12*n - a for n. -5 Let l be 3/(15/290*2/1). Solve -l = -6*w + 1 for w. 5 Let c = -11 + 7. Let y be c - (-1 - 1)/(-2). Let d = y - -11. Solve -d*f = -2*f for f. 0 Suppose 0 = -2*n + n - 15. Let f be 98/10 - ((-9)/n)/(-3). Solve 8*h = 3*h + f for h. 2 Suppose 5*o - 12*o = -21. Suppose 0*c - o*c + 9 = 3*g, 0 = 2*g - 4*c + 12. Solve 0*m + 5*m - 20 = g for m. 4 Let g = -36 - -40. Solve g*i - 10 = -i for i. 2 Suppose 1282 = 7*v + 1282. Solve -4*k - 25 + 21 = v for k. -1 Let b(y) = -2*y - 10. Let z be b(-13). Let r = z - 10. Solve r = -3*q - 0 for q. -2 Let m(w) = w**2 - 11*w + 24. Let t(z) = -z + 2. Let r be t(-6). Let q be m(r). Solve -5*o + 25 + q = 0 for o. 5 Let w = -76 + 91. Solve 0 = 5*o - 8*o + w for o. 5 Suppose 0 = -12*f + 27*f - 30. Solve -6 - 2 = -f*q for q. 4 Let r = -62 - -39. Let d = r + 29. Solve -2*w + d*w = -8 for w. -2 Suppose -3*f = -2*c + 4*c - 8, -4*f + 12 = 3*c. Solve f = -3*r - 12 + 18 for r. 2 Let d = 188 - 184. Let b be ((-12)/6)/(1 - 6/4). Solve -d*w + b = 24 for w. -5 Suppose 0 = -3*d - 3*x - 14 - 37, 3*d - 4*x + 58 = 0. Let c be (d/(-10))/(30/50). Solve 4*k = 5*k - c for k. 3 Suppose 0 = -l - l. Let m = 5 + l. Solve -4*h = -m - 3 for h. 2 Let k be (-3 + 2)/((-3)/18). Suppose k + 2 = 2*x. Let q(m) = -m**2 + 3*m + 8. Let l be q(x). Solve 0 = -l*z - 7 + 19 for z. 3 Suppose 4*r + 44 - 52 = 0. Solve -r*c + 2 = 4 for c. -1 Let k(u) = -u**3 - 10*u**2 + 4. Let l be k(-10). Solve -3*a + 1 - l = 0 for a. -1 Let v(y) = y**2 - 54*y + 81. Let o be v(53). Solve -14*z + o = -0*z for z. 2 Let s = -27 - -27. Let r be (-23 + 22)*(-2 - (s + 0)). Solve 4 = -2*w - r for w. -3 Suppose 9*z - 56 = 79. Suppose b = -5*s - 0 + 10, 5*s = -2*b + z. Solve r + b = 3 for r. -2 Let d(z) = -2*z + 16. Let p = 3 - -4. Let c be d(p). Solve 4 = c*w - 4 for w. 4 Let h = 118 + -75. Let q = h - 40. Solve z = -2*z + q for z. 1 Let t = -641 - -647. Solve -5*b = -t*b for b. 0 Let i be 1 - (-6 + 3 + 1). Suppose i*s - 3*j = -1 - 5, -s = j - 6. Suppose -s*c + 18 = 4*c. Solve c = 4*q - q for q. 1 Let q be (-80)/((-3 - -4) + 0). Let y = q + 82. Solve -12 = -y*u - u for u. 4 Let m be (34/(-6) - 1)*(-18)/15. Solve 3*p + m + 7 = 0 for p. -5 Suppose 10*a = 8*a + v + 31, -5*a - 3*v + 72 = 0. Solve -59*s + 54*s - a = 0 for s. -3 Suppose 10*u + 126 = 226. Solve 2*d = 18 - u for d. 4 Let b(s) = -s**2 - 7*s - 9. Let v be b(-4). Suppose -3*x + v*g - g = -8, 0 = -4*x + g + 4. Solve 3*z = -x + 9 for z. 3 Let u be 894/42 + 6/(-21). Solve -8*r + r = -u for r. 3 Suppose -11*o + 165 = 55. Suppose 16*t - 21*t + o = 0. Solve 0*m + 10 = t*m for m. 5 Let c be (25 + (0 - -1))*(-4)/(-8). Let w(j) = -j**3 + 12*j**2 + 12*j + 29. Let i be w(c). Solve 4 = -4*q + i for q. 3 Let t = 4 - -2. Let y(k) = 7*k + 1. Let u be y(1). Suppose -p + u = p. Solve 6 = p*a - t for a. 3 Let k(p) = p**2 + 8*p + 7. Let z be k(-7). Let d be z/((3/1)/3). Suppose -r = -d*r. Solve s = -r*s - 3 for s. -3 Let r = 21 + -16. Suppose -l - 43 = -0*t - 5*t, 2*t = r*l + 31. Suppose -t = -v - 3*v. Solve -v*x = 4 + 4 for x. -4 Let n(r) = r**2 + 20*r + 21. Let a be n(-19). Suppose -a*o + 4*o + 4 = -4*t, -3*o = -3*t - 30. Solve -4*i = -o*i for i. 0 Let u(p) = -5*p + 1 - 7*p + 4 + 8*p**2 - 7*p**2. Let t be u(12). Solve -2*y + 1 = -t for y. 3 Suppose 3*y = -3*k + 75, 0 = 7*k - 5*k - 2*y - 30. Solve 4*f + 64 = k*f for f. 4 Suppose -22*f = 5*f - 513. Solve 0 = f*b - 20*b + 3 for b. 3 Let b be -1*3 - 24/((-4)/1). Suppose -3*l - b = h - 11, 5*l - 12 = -h. Solve u = -h*u - 9 for u. -3 Let z(v) = v**2 - 7*v - 8. Suppose c = -4*c + 40. Let h be z(c). Solve h*q = -4*q - 4 for q. -1 Let u = -6 + 12. Let z = -64 + 60. Let l be z - 19*(-2 + 1). Solve t = u*t - l for t. 3 Suppose 5*v - 12 = 2*v. Suppose -2*c + 3*t = -4, -v*c - t = 1 - 9. Let g be (-1)/(-2) + c/(-4). Solve 3*z + z = g for z. 0 Suppose 4*i + 2*m = 80, -5*m - 21 - 109 = -5*i. Solve -i*h + 12 = -16*h for h. 2 Let z = 40 + 17. Let u = 63 - z. Solve 4*j = u*j - 10 for j. 5 Let q be 2*(0 + 6) - 5. Solve q*t + 10 = 5*t for t. -5 Let f(x) = 3*x**2 - 33*x - 225. Let j be f(-5). Solve 4*u = j*u - 22 for u. 2 Let m(b) = -b**3 - 5*b**2 - b - 2. Let f be 30/(-3)*2/(-5). Suppose -5*t - 19 = 3*r - t, -25 = f*r + 5*t. Let u be m(r). Solve -2*y - 1 = -u for y. 1 Let k(j) = 20*j + 43. Let s be k(-2). Solve 4 - s = -c for c. -1 Suppose 5*w + 9 = 39. Solve 0 = 11*m - 5*m + w for m. -1 Let n = 30 - 45. Let c be (1/3)/(-1)*-57. Let t = c + n. Solve -b - t*b = -10 for b. 2 Suppose 422 + 403 = 33*c. Solve c*d = 29*d + 4 for d. -1 Suppose 0 = 239*p - 246*p + 35. Solve -p*h - 4 = 6 for h. -2 Let z be 468/90 - 2/10. Solve 0 = 18*i - 13*i - z for i. 1 Suppose -m + 12 - 3 = 0. Let v(s) = -2*s + 1. Let b be v(-1). Suppose -2*l = -7*l + 20. Solve -l*u - b = m for u. -3 Let j = 1422 + -1407. Solve 22*k - 25*k = j for k. -5 Suppose -3*r - 5*l = -20, l + 22 = 2*r - 0. Solve 7*v - r*v = 0 for v. 0 Let b be (-9)/12 + 1204/112. Solve 0 = 9*v - 14*v + b for v. 2 Let r(h) = h**3 - 48*h**2 - 3*h + 157. Let o be r(48). Solve 12*i - 35 - o = 0 for i. 4 Let w = -51 + 51. Suppose 4*y - 1 = 5*t + 20, w = -2*y - 2*t + 6. Solve 10 = -y*a - a for a. -2 Let m(a) = -29*a - 3. Let s be m(-3). Let y be ((-1)/(-2))/(1/s). Let b be ((-4)/6)/((-14)/y). Solve -b*c + 2 = -3*c for c. -2 Let a be 4/(-12)*-9 + 14/2. Let g be 26/a + 16/40. Solve w - g + 5 = 0 for w. -2 Suppose -6*g - 84 = 78. Let t = g - -30. Solve t = 4*l - 5 for l. 2 Let k be (0 - (-2 + 3))*-16. Suppose -k = -w - w. Suppose 0 = -4*r + w*r + 5*l + 16, -5*r + 9 = -l. Solve -b + r + 2 = 0 for b. 3 Let h(x) = -x**2 - 2*x - 12. Let g be h(0). Let k be (-4)/g + 84/18. Solve 0 = -k*q - 1 - 4 for q. -1 Suppose 7 = -9*t + 12*t - i, -3*i = 3. Solve 3 = -t*z - z for z. -1 Let h be (2/(-6))/((-3)/36). Let t(w) = w**2 - 2*w - 6. Let r be t(h). Solve r*n + 0 - 2 = 0 for n. 1 Let l = -1 - 22. Let d = l + 25. Solve -3*
{ "pile_set_name": "DM Mathematics" }
5/(-15))/(-7). Let u(f) be the second derivative of f**4/6 + f**3/6 - f**2/2 + f. Calculate u(n). 14 Let t(i) = i**2 - 7*i + 7. Let j be t(5). Let w be (8/6)/(1/j). Let h(x) = -x + 2. Let u be h(w). Let v(p) = -p**3 + 6*p**2 - 5. What is v(u)? -5 Let v(b) = -b**2 + 7*b - 3. Suppose -4*u = 5*w - 31, -2 - 12 = -2*u - 2*w. Suppose 0 = 3*i + 3*k - 24, -u*k + 28 - 10 = 2*i. Calculate v(i). -3 Let l(r) be the first derivative of -27 + 4*r - 1/2*r**2. Let g = 2 - -2. Determine l(g). 0 Let s(t) be the second derivative of -t**3/2 + t**2/2 + t + 4. Let o be ((-1)/3)/(2/(-6)). Calculate s(o). -2 Let y(i) = -i**3 + 15*i**2 - 11*i - 29. Let n = 583 - 569. Give y(n). 13 Let u(i) be the second derivative of i**3/6 - 9*i**2 + 109*i. Determine u(14). -4 Suppose 26 = -3*h + 4*h. Let i = h - 26. Let f(j) be the first derivative of j**2/2 + 4*j + 1. Give f(i). 4 Let c(o) = 4*o**3 - 37*o**2 - 23*o + 36. Let d(a) be the first derivative of a**4/4 - 3*a**3 - 3*a**2 + 9*a - 15. Let h(q) = -2*c(q) + 9*d(q). Give h(8). 9 Suppose 5*q + 5 = -0. Let w = 1 - q. Let t(l) = -l + 0*l**2 + 1 + 2*l**2 - 7*l**w - l**2. Determine t(1). -6 Let b = 113 + -121. Let j(d) be the second derivative of d**3/6 + 2*d**2 + d. Determine j(b). -4 Let f(p) = p**3 + p**2 + p - 5*p**2 + 83 - 88. Suppose 3*w = c, 5*c - w + 0*w = 0. Suppose -3*l - 4 = 2*n - c*l, -12 = 3*l. What is f(n)? -1 Let h(v) be the first derivative of v**4/4 + 11*v**3/3 + 11*v**2/2 - 3*v + 57. Give h(-10). -13 Let n = -810 + 807. Let r(a) = -4*a**2 + 3*a + 1. Let g(x) = -9*x**2 + 7*x + 1. Let y(c) = 3*g(c) - 7*r(c). Give y(n). 5 Let l(r) = r - 6. Let h(m) = 20*m**3 + 68*m**2 + 17*m + 15. Let d(c) = -7*c**3 - 23*c**2 - 6*c - 5. Let j(t) = 17*d(t) + 6*h(t). Let y be j(-17). Give l(y). -1 Let b(r) = 2*r**3 + 3*r**2 - 25*r - 2. Let m(f) = -f**3 - 2*f**2 + 11*f + 1. Let j(s) = -4*b(s) - 9*m(s). Determine j(-6). -7 Let c(q) be the third derivative of -5*q**4/8 + q**3/6 + 332*q**2. Calculate c(-2). 31 Let m(i) = 8*i**2 + 14*i - 2. Let w(f) = -9*f**2 - 15*f + 3. Let g(j) = 6*m(j) + 5*w(j). Calculate g(-4). 15 Let b(s) = 8*s - 31. Let w(x) = -4*x + 15. Let o(k) = -4*b(k) - 9*w(k). Determine o(4). 5 Let t = -4 + 5. Let y(d) be the third derivative of -7*d**6/60 - d**5/60 + d**4/24 - d**3/6 + 301*d**2. Calculate y(t). -15 Let u(i) = -2*i**3 - 9256 + 18514 - 5*i**2 - 9260 - 2*i. Give u(-2). -2 Let u(r) = 7812 - r - 3*r - 7828. What is u(-5)? 4 Let d(s) = s - 9. Suppose 9 = -4*q + 2*t - 9, 5*q - 5*t = -15. Calculate d(q). -15 Let y be (-216)/(-16) - 3/(-6). Let g be (0 - 3)*4/(-6). Suppose 0*o + g*o = -y. Let q(b) = b**3 + 6*b**2 - 6*b + 6. What is q(o)? -1 Let j(w) = 2*w**2 - 1. Let o(n) = -n**2 - 5*n - 4. Let k be o(-4). Suppose 4*c = 2 + 2, -2*b - 4*c + 2 = k. What is j(b)? 1 Let i(t) = t**3 + 3*t**2 - t - 1. Let f be i(-3). Suppose -f = -12*c + 11*c. Let y(n) = -n**2 - 2*n + 4*n - c + 2*n + n**3 - n**2. Give y(2). 6 Let s(h) = 0*h**2 - 43*h + 12*h + 13*h + h**2 + 13*h. Determine s(7). 14 Suppose 4*g + 12 = 2*s + 2*s, 5 = -s - 3*g. Let n(j) = -s + 2*j**2 - 10*j**3 + 6*j**3 + 5*j**3. What is n(-3)? -10 Let x = -112 + 124. Let n(h) = -h**2 + 11*h - 3. Give n(x). -15 Let f(g) be the first derivative of -g**3/6 + 3*g**2/2 + g - 4. Let b(y) be the first derivative of f(y). Let u = 13 - 19. What is b(u)? 9 Let p(a) = 5*a**2 - 23*a - 18*a**3 - 10*a**3 + 27*a**3 + 8 + 15*a. Calculate p(5). -32 Let y = -13 + 12. Let j be y + 5/10*-10. Let g(t) = t**3 + 7*t**2 + 5*t + 4. What is g(j)? 10 Let i(p) = 3*p + 1. Let g be ((-1)/1)/((-11)/165). Let l = -14 + g. Determine i(l). 4 Let h be -14*((-2)/(-4) + -3). Let j(n) = -h + 35 - n**2 + n**3 - n. Calculate j(1). -1 Let y(d) be the first derivative of d**6/360 - d**5/20 - d**4/8 + 22*d**3/3 - 1. Let w(c) be the third derivative of y(c). What is w(5)? -8 Let z(h) be the second derivative of h**4/12 - h**3/6 + 7*h**2/2 + 12*h. Give z(0). 7 Suppose 5*c = d + 10 + 17, 4*d = -4*c + 36. Let p(s) = 293 + 85*s - 292 - 86*s. What is p(c)? -5 Let i(t) = 0*t + 5*t - t - 9*t - 5*t. Calculate i(4). -40 Let y(f) be the first derivative of -f**4/24 - 8*f**3/3 + 5*f**2/2 + 12. Let d(g) be the second derivative of y(g). What is d(0)? -16 Let r = 22 + -16. Let c(w) = -7*w + 24. Let h(f) = -3*f + 11. Let v(z) = -2*c(z) + 5*h(z). Give v(r). 1 Let n(x) = -x**3 - 6*x**2 - 2*x + 5. Suppose -2*f = -4*a - 28, -3*a + f - 19 = -0*f. Determine n(a). -10 Let j(m) = m**2 - 6*m - 6. Let v(b) = 7*b**3 - b**2 + 2*b - 3. Let d be v(-2). Let h = d + 72. What is j(h)? -11 Let b(j) = -j**2 - 10. Let x(d) = -d**3 + 3*d**2 - d - 2. Let q be x(2). What is b(q)? -10 Let p(y) = -1323*y**2 + 1324*y**2 + 12*y**3 + 9 - 10. Give p(1). 12 Let w(p) = -p**2 + 13*p - p**3 + 2 - 3*p**3 - 28*p - 18*p**2. Let b(y) = -3*y**3 - 13*y**2 - 10*y + 1. Let f(j) = -7*b(j) + 5*w(j). Determine f(4). -17 Let l = 15 - 5. Suppose -5*b + 4*f = f + 31, 0 = -5*b - 5*f - 15. Let s be (b/l)/(2/4). Let k(w) = w + 2. Calculate k(s). 1 Let n(j) = -2*j - 1. Let h be -4*4/((-4)/5). Suppose v = 5*f + 17, -5*v + v + 4*f = -h. Suppose 3*b = -g - 11, v*b + 3*b - 3*g + 23 = 0. What is n(b)? 7 Let p(j) = -3 + 115*j + 123*j - 359*j + 120*j. Let n(t) = -t + 5. Let r be n(4). Let w(k) = -1. Let y(i) = r*p(i) - w(i). What is y(0)? -2 Let x(a) = -a**2 - 4*a + 4. Let c(v) = -3 + 570*v + v**2 - 566*v + 0. Let w be 5/((1/(-1))/(-1)). Let b(s) = w*x(s) + 6*c(s). Determine b(-2). -2 Let n(u) = -7*u**2 + 8*u - 1. Let y(w) = 3 + 0*w + 0*w + 11*w**2 - 1 - 12*w. Let v(q) = 8*n(q) + 5*y(q). What is v(4)? 2 Let c(g) = g**3 + 12*g**2 - g - 10. Let q(t) = -t**3 + 2*t**2 + 2*t - 12. Let z be q(0). What is c(z)? 2 Let s be 8/(4 + 0) + (-12)/(-2). Let j(a) = a**3 - 9*a**2 + 6*a + 9. Give j(s). -7 Let s(o) be the third derivative of -o**6/120 - o**5/10 - o**4/8 + 2*o**3/3 - 110*o**2. Give s(-5). -6 Let d(n) = -11*n**3 + 11*n**2 - 7*n - 83. Let h(z) = -4*z**3 + 3*z**2 - 2*z - 28. Let p(u) = 3*d(u) - 8*h(u). What is p(8)? -1 Let n be -1*-2*18/(-4). Let h(q) = -3*q + 4. Let o(a) = 6*a - 9. Let k(w) = n*h(w) - 4*o(w). Suppose 3*c - 6 = t, -4*c + 10*t = 5*t + 3. Give k(c). 9 Let j(m) be the third derivative of -m**6/360 + 7*m**5/120 - m**4/8 - 5*m**3/3 - m**2 - 23. Let i(z) be the first derivative of j(z). Determine i(6). 3 Suppose 6*g - 255 = -11*g. Let b(v) = -v**2 + 12*v + 47. Determine b(g). 2 Let w(v) be the first derivative of -v**4/4 + 2*v**3 - v**2 + 6*v - 155. Calculate w(6). -6 Suppose -8 = -2*i + 10. Let z be 2/3*i/2. Let u(v) = -z*v**2 + 4*v**2 + 4 - 1 + 8*v + 1. Give u(-6). -8 Suppose 255 - 30 = -25*f. Let d(w) = -w**2 - 13*w - 12. Calculate d(f). 24 Let y(u) = 18*u**3 - 4*u**2 - 6*u - 20. Let g(c) = c**3 + c**2 + c + 4. Let x(v) = 5*g(v) + y(v). Give x(1). 23 Let f(z) = z**2 + 8*z + 3. Let g be 2/((-46)/(-8) - 6). Calculate f(g). 3 Suppose 5*y = 3*n + 34, 0*y - y = -2*n - 11. Let o = n + 12. Let i(m) = m**2 - 8*m - 11. Let s be i(o). Let d(f) = -4*f - 1. What is d(s)? 7 Let c(w) = 3*w**2 + 3*w + 37. Let i(g) = 3*g**2 + 3*g + 31. Let v(q) = -5*c(q) + 6*i(q). Give v(-2). 7 Let r(f) = -2*f + 10*f - 231 + 234. Give r(-3). -21 Suppose -4*q = 4*g + 12, q - 7 = -2*g + 3*g. Let z(k) = 5*k + 7*k**3 - 8*k**q - 4*k - 6*k**3 + 0*k**3 - 11. Give z(8). -3 Let p(z) = -45*z**3 - 42*z**2 - 26*z + 59. Let g(d) = -16*d**3 - 14*d**2 - 9*d + 20. Let k(r) = 17*g(r) - 6*p(r). Give k(7). 7 Suppose 2*l = 16 + 12. Let v be (-4)/l + 6/21. Let i(x) = x**2 - 3. Give i(v). -3 Suppose 9*z = -1 + 28. Let b(j) = 3*j**2 + 2*j + 3. Give b(z). 36 Let x(b) = -b**3 + b**2 + 3*b + 2. Let j be x(-2). Let v(k) = 9*k**2 - 18*k**3 - 11*k**3 - 6*k**3 + 34*k**3 - 7*k - 2. Calculate v(j). 6 Let y(m) = 42 - 19 - 21 + 2*m. Let p(k) = -k - 2. Let u be p(2). Calculate y(u). -6 Suppose 18 = -2*d + c - 2*c, -2*d - 10 = 5*c. Let t = d + 8. Let x(i) = i**3 - 4*i**2 - 2*i + 2. Calculate x(t). -18 Suppose -l = -4*l - y + 17, l - 3*y + 1 = 0. Suppose 0 = -l*k - 5 + 35. Let i(d) = d**2 - 5*d - 3. Give i(k). 3 Let f(a) = -1. Let u(x) = x + 1. Let n be u(0). Let s(g) = 2*g + 6. Let t(r) = n*s(r) + 10*f(r). Suppose 3*k + 10 = -h, -30 = -h - 79*k + 84*k. Calculate t(h). 6 Let c(o) = 10*o**2 - 62 - 9*o**2 + 0*o + 61 - 2*o + 5*o. Determine c(-3). -1 Let r = -91 - -98. Let t(o) = -o + 9. What is t(r)? 2 Let n(x) = -3*x - 26 + x**2 + 30 - x. Give n(3).
{ "pile_set_name": "DM Mathematics" }
g*f = -11*f + 8 for f. 4 Let x(k) = k**2 - 6*k - 24. Let v be x(10). Let m = 1 - -13. Let h = v - m. Solve 2*d + 0 + h = 0 for d. -1 Suppose -3*g - 2*p + 43 = 0, 4*g = 2*g - 3*p + 37. Suppose 4*h = -3*m + g, -h + 3*m + 0*m - 1 = 0. Solve i + h = 4 for i. 2 Let c(i) = i**2 - 4*i + 2. Let f be c(4). Suppose f*y = 6*y - 4. Solve -4*g - 15 = y for g. -4 Suppose -3*z + 0*b + 38 = 4*b, 20 = 3*z - 5*b. Let f = -102 - -97. Let t = z + f. Solve -t = -3*d + 10 for d. 5 Suppose 8 = 4*i - 0. Let a be (-6)/45 - 160/(-75). Suppose 5*c = a*b, 5*c + 0*b = -b. Solve c = -2*j - 2 - i for j. -2 Let f(i) = -i**3 - 6*i**2 - 1. Let d be f(-6). Let l be 3/(d/(-3 + 2)). Let n = 523 - 519. Solve -h - l*h = -n for h. 1 Let r(y) = 15*y - 358. Let f be r(25). Suppose 5*b = 2*w + 17, 52 = 4*b + 3*w + 20. Solve b*a + 8 = -f for a. -5 Let c(m) = 2*m**2 + 2*m + 1. Let r be c(1). Solve 0 = b + 4*b - r for b. 1 Suppose -10*q = -12*q - 60. Let i = -26 - q. Solve 2*u + i = -0*u for u. -2 Let l be (0 - 3)*2/(-6). Let h = 21 - 16. Suppose -h*k - k = 0. Solve i - l = -k*i for i. 1 Let l(t) = -t**3 + 6*t**2 + 7*t + 2. Suppose 15*x = 18*x - 21. Let d be l(x). Solve 0 = d*w - 6 for w. 3 Suppose -4*t = 2*r - 14, 1 = -0*t + t + 3*r. Suppose 2*p - t*d = -0*d, 6 = -p + 4*d. Solve o - p = -2*o for o. 2 Suppose 4*d = -8, 0*d - d = -4*o + 18. Let v(b) = -b**3 - 8*b**2 - b + 2. Let x be v(-8). Solve o*p + x = -p for p. -2 Suppose -3*z - 52 = 5*l, -3*z = l - 0*l + 32. Let j be (40/3)/2*z/(-6). Solve -j*o - 12 = -7*o for o. -4 Let y = -1277 - -1291. Solve y*t = 2*t - 36 for t. -3 Suppose 0 = -5*p + 630 + 130. Solve -3*u = -143 + p for u. -3 Suppose 3 = 3*i, -38 = 5*y - 0*i - 3*i. Let n = y - -7. Solve 4*r - 5*r = n for r. 0 Let i be (-399)/(-84) + 3/(-4). Solve i*y - 21 = -17 for y. 1 Suppose 10 = -5*i + 7*i. Suppose 4*d - 128 = -4*d. Suppose 0 = -2*q + 8. Solve -q = -i*v + d for v. 4 Let x(h) = -2*h**2 + 5*h + 71. Let s be x(-4). Solve -4*d = s*d for d. 0 Suppose -6*r - 4 = -10*r. Let d be -3 - ((3 - r) + -5). Suppose d = -2*n - 0*n + 6. Solve n*j + 3 = -12 for j. -5 Suppose 6*o = 10*o - 236. Suppose -55*q - 28 = -o*q. Solve -10 = 2*a - q*a for a. 2 Let z = 823 + -815. Solve -7*j + 11*j + z = 0 for j. -2 Let f be ((-89)/(-2))/((-1)/(-2)). Let i = f + -86. Solve -2*g - i*g - 5 = 0 for g. -1 Suppose -5*z = 0, -z - 7 = -4*h - 19. Let a be 1/1 + (0 - -2). Let u be (h - (-3)/a) + 6. Solve u*v = 8*v + 8 for v. -2 Let f be (110/7 - 0) + (-2)/(-7). Suppose 0 = -3*k - k + 148. Suppose -4*q = q - 15, k = 5*u + 4*q. Solve -u*n = -n - f for n. 4 Let f(m) = m + 15. Let y be f(-7). Let i be -8*(-4)/y - -3. Suppose 4*x - 47 = -i. Solve -2*l + 7*l - x = 0 for l. 2 Suppose -6*z + 3*z = z. Solve -7*h + 23 - 2 = z for h. 3 Let u be (4/(-14))/((-4)/56). Suppose u = 3*q + g, -5*g = 2*q - 2*g + 2. Suppose -3*m + 2*m = -q. Solve m*v = -0 - 2 for v. -1 Let o(b) = 5*b + 92. Let j be o(-18). Solve -3*a - j = 7 for a. -3 Let b = 355 + -350. Solve -b*o = -14 - 6 for o. 4 Let m be (-113)/(-5) - (-9)/(-15). Let j = 25 - m. Solve 3*a + 0 = j for a. 1 Let z(w) = w + 2. Let b(t) = t**2 - 11*t - 5. Let y(f) = b(f) + 3*z(f). Let a be y(8). Solve a = 4*s + 9 for s. -2 Let w be (-5)/2*(-96)/15. Suppose -u - w - 2 = 0. Let f be ((-11)/33)/(2/u). Solve 2*o + 3 + f = 0 for o. -3 Let k(p) = -p**3 + 12*p**2 - 4*p + 16. Let b be k(12). Let d be b/(-6) - 8/(-12). Suppose -6*i = -0*i - d. Solve -4*f + 3 = -i for f. 1 Let l be -17 - (-826)/42 - 4/(-3). Solve 19*b = 15*b + l for b. 1 Suppose -4*c = -2*s, 0 = 7*c - 8*c - 5*s. Solve -8*l + 6*l = c for l. 0 Let t be (-30)/(-4)*8/12. Suppose t*o + 4 = 19. Solve y - o*y = 8 for y. -4 Suppose 0 = 2*u - 32 - 182. Let j = 112 - u. Solve j*z = -1 - 19 for z. -4 Let v(l) = -l**2 - 8*l - 9. Let w be v(-5). Let m be (3*1)/1*-1. Let j = m + w. Solve -3*z + j = -12 for z. 5 Suppose -30*u = -26*u + 84. Let w(j) = 3*j**2 + 62*j - 18. Let m be w(u). Solve m*z = -1 + 4 for z. 1 Let o = 842 + -837. Solve -o*j + 21*j + 16 = 0 for j. -1 Let b = -417 - -426. Solve 8*z + 4 = b*z for z. 4 Let w(k) = -k**2 + 9*k + 4. Let o be w(9). Solve r + o = 3 for r. -1 Suppose -21 = -4*y + 3*y. Let m = 12 - y. Let v(w) = w**2 + 9*w + 3. Let k be v(m). Solve -i + k*i = 4 for i. 2 Let z be 0 + ((-26)/91 - (-6)/21). Solve 56*l - 49*l + 21 = z for l. -3 Let x(y) = y**2 - 20*y - 19. Let f be x(21). Solve -f*m = -3*m for m. 0 Let x(s) = -s**2 + 13*s + 3. Let c(b) = -2*b**2 + 27*b + 5. Let u(y) = -6*c(y) + 13*x(y). Let t = 370 + -362. Let f be u(t). Solve f - 5 = 2*h for h. -2 Suppose 4*u + 6 = 58. Let n(q) = -q**2 + 14*q - 11. Let d be n(u). Let i = -5 + 5. Solve 2*m + 0 + d = i for m. -1 Let t(m) = m**2 - 6*m + 10. Let j be t(2). Solve j*b = -3*b - 25 for b. -5 Suppose -7*f = -6*f. Solve f = -10*v - 62 + 12 for v. -5 Suppose 0*q - 9*q = 441. Let b = q + 49. Solve b*d + 2*d = 4 for d. 2 Let o(m) = 3*m**2 - 10*m - 19. Let k(l) = -4*l**2 + 10*l + 20. Let a(y) = -4*k(y) - 5*o(y). Let z be a(-9). Let b = 9 - 5. Solve -b*f + 6 + z = 0 for f. 3 Let d be 2/(9/(-3) - 82/(-26)). Solve -d*q - 8 = 44 for q. -4 Suppose -4*k = -6 - 10. Suppose k*u = -2*x - 0*u - 12, 0 = 3*x + 3*u + 9. Solve -t + 6*t - 5 = x for t. 1 Let u be (-10)/(-50) + (-834)/(-30). Solve -8*q - u = 12 for q. -5 Let q be ((-18)/(-27))/(1/6). Suppose q*w - 17 + 9 = 0. Solve 4*m = -w + 18 for m. 4 Let i be (-3)/(-7) - 852/(-21). Suppose -7*u - g = -3*u - i, 4*u + 3*g = 51. Let c be (-6)/u*(-1 - 2). Solve -c*a = 3*a - 15 for a. 3 Suppose 3*k + 6 = 0, 5*c + 13 = 6*c - 5*k. Solve -c*a - 5 = -8*a for a. 1 Suppose -15 = 6*v - 51. Let p be ((-2)/v)/(9/(-1*135)). Solve 4*o + p + 3 = 0 for o. -2 Suppose 2*o + h - 65 = 0, 4*o - 165 = 18*h - 13*h. Solve -o + 7 = 7*a for a. -4 Suppose 14*t = 264 - 824. Let h = -35 - t. Solve -h*f = -3*f + 8 for f. -4 Let j = -13 + 17. Let v(n) = n**2 - 5*n + 6. Let c be v(j). Solve 0 = g + c - 3 for g. 1 Suppose 2*z - 9 = 5*z. Let q be (-3)/2 - z/(-6). Let w be (1/(-2))/(q/48). Solve -2*k - k = -w for k. 4 Let j be (-3)/(-7) - 51040/(-1120). Solve -29 = -15*x + j for x. 5 Suppose 3*d = -5*l - d + 754, 295 = 2*l - 5*d. Let t be (1 - -1)/(60/l). Solve q = t*q for q. 0 Suppose 5*y - 43 = 4*a, 22 = 2*y - a - 3*a. Suppose y*p = 4*p + 75. Suppose -4*j + 3*o + 1 = 0, -j - 4*j - o + p = 0. Solve 0 = j*u - 0 - 4 for u. 1 Suppose -2*f - 10 = 0, 4 = -q + 3*f - 0*f. Let r = 23 + q. Solve r*k + 7 = 27 for k. 5 Suppose 3*f + 52 = 5*k, -5 = 5*f - 10*f. Suppose -3*l - n + k = -17, 0 = -3*l - 3*n + 36. Solve -b = b + l for b. -4 Let c(m) = 7*m + 6 - 9 - 10 - 2*m. Let d be c(5). Solve 5*l - 2*l = d for l. 4 Let q be (-6)/(-14)*21/1. Solve 0 = l + 4 - q for l. 5 Suppose 4*r + 7 = 11. Let h = -508 + 511. Solve y + h = -r for y. -4 Let h = 8 - 13. Let c = 9 + h. Suppose -12 = -c*a - 0*a. Solve 0 = a*f + 5 - 2 for f. -1 Let i = -4 + 7. Let x(w) = 3*w - 3. Suppose 3*t = 5*n - 16, 2*t + 2*n - 14 = 2. Let u be x(t). Solve -6 = -i*c + u for c. 4 Let w(h) = -h**2 - 17*h + 4. Let m be w(-17). Suppose 3*i + 9 = -5*k, -2*k + 5*i + 19 - m = 0. Solve k = 3*r - r - 2 for r. 1 Suppose -3 = 2*x + g - 4*g, -12 = -4*g. Solve x*j + 17 - 26 = 0 for j. 3 Let t(f) = f**2 - 2*f + 1. Let p be t(1). Suppose -r + 56 = 3*r + 2*b, -4*r - 3*b = -60. Suppose r = 3*u - p*u. Solve -m = u - 5 for m. 1 Let i = 5 - 3. Suppose -5*d - 2*n = -3*n - 183, n - 2 = 0. Let t = 43 - d. Solve -t = i*v - 0*v for v. -3 Let q be (0 - -6) + -2*3/6. Let i(f) = -f + 3. Let o be i(-5). Suppose -2 = -q*m + o. Solve m*w + 2*w = -20 for w. -5 Let v(t) = t**3 + 11*t**2 + 25*t + 12. Let m be v(-8). Solve -m*o - 121 = -101 for o. -5 Let i(w) = w**2 - 5*w + 4. Suppose -6*a + 25 = -a. Suppose 0*m + 20 = a*m. Let g be i(m). Solve 3*d = -g*d for d. 0 Let n(m) = -22*m + 218. Let d be n(9). Solve -12*v + 8*v = -d for v. 5 Let x be -4 + 40/(-2) + 3. Let y = x - -28. Solve -y = -2*z + 1 for z. 4 Suppose 817*a - 815*a = 18. Solve 6*l + 15 = a*l for l. 5 Let u be ((-26)/4)/((-4)/40)*-1. Let z = u + 75. Let v be 2/8 - 2/8. Solve v = -3*t + 5*t - z for t. 5 Let h be ((-250)/(-15))/((-2)/(-3)). Suppose s - 2*s = h. Let v = -22 - s. Solve 0 = -7*b + 4*b + v for b. 1 Suppose -4*a + 16 = 4*q, -2*q - q - a = -12. Let z(n) = -3*n - 6. Let o be z(-4). Suppose -4*r = 5*f - 3 + o, -9 = -f + q*r. Solve 3 = -4*w - f for w. -1 Let g = -41 + 41. Sup
{ "pile_set_name": "DM Mathematics" }
54769888 217 times -6431.68 -1395674.56 What is the product of 55.1 and 2868? 158026.8 Calculate -85007*130. -11050910 Calculate -34*5436643. -184845862 Work out -4 * -172251. 689004 0.3 times -1768955 -530686.5 What is the product of 37473 and 208? 7794384 What is the product of -0.141 and -813159? 114655.419 0.035 times 63387 2218.545 What is the product of -12.382 and -2388? 29568.216 What is the product of 1 and -0.7425171? -0.7425171 What is the product of 0.12473 and 5544? 691.50312 13.798 times 5313 73308.774 46*229810 10571260 Product of -9 and 44.4781. -400.3029 Product of -0.226 and 229575. -51883.95 Multiply -186.4564 and 0.2. -37.29128 Multiply 206 and 59.0584. 12166.0304 Product of -177.945 and 201. -35766.945 493.85146 * -0.3 -148.155438 Multiply 96.8 and -4.4239. -428.23352 -21740 times 0.323 -7022.02 Calculate 0.4*-16734858. -6693943.2 6 times 495060 2970360 Work out 93.91404 * -0.4. -37.565616 2900.95*5.5 15955.225 What is -1548 times -941? 1456668 0.012 times 0.2451094 0.0029413128 66.12819 * 3 198.38457 0.10704935*0.5 0.053524675 Product of 2.293 and -80353. -184249.429 Multiply -0.3 and -1.446816. 0.4340448 Multiply -0.5 and -1450.51. 725.255 39096985*0.2 7819397 -16183755 * -46 744452730 Multiply -0.3 and -10793.7852. 3238.13556 What is 1476681 times 0.873? 1289142.513 115525584 * 0.2 23105116.8 Product of -1 and 2264311. -2264311 Work out 0.0073 * -3078. -22.4694 6087 * 3035 18474045 What is -127970627 times -0.5? 63985313.5 Calculate -56834*65. -3694210 -104 times 1248286 -129821744 What is 154612434 times -0.4? -61844973.6 Product of -2169 and 47889. -103871241 What is the product of 5.1 and -872.571? -4450.1121 Calculate 800.33*0.014. 11.20462 -0.1*-5699982 569998.2 Calculate 0.12211*1814. 221.50754 Calculate -6086196*0. 0 9342.48*0.5 4671.24 What is 113249 times -16? -1811984 What is -0.5 times 19891.9835? -9945.99175 853.0353*-10 -8530.353 What is the product of 5472620 and -42? -229850040 1.5713*-2548 -4003.6724 Calculate -1.1429*8490. -9703.221 -4794604 * -6 28767624 What is 35.8304516 times -5? -179.152258 Calculate -14.532476*-4. 58.129904 5438556 * 0.3 1631566.8 What is the product of -272090 and -0.32? 87068.8 What is the product of -3643 and -606? 2207658 -0.40917*-4511 1845.76587 Multiply 1.3 and -29398781. -38218415.3 -3 * 51620820 -154862460 Calculate -0.055803*-0.10601. 0.00591567603 -60616355*1 -60616355 0.4 * -62005184 -24802073.6 -7371 * -2135 15737085 What is 0.5961 times -224? -133.5264 What is 0.74 times 17852? 13210.48 8258 * -690 -5698020 What is 870 times -0.30167? -262.4529 Work out -0.5 * -14.5599029. 7.27995145 3 * 1261068 3783204 3 * -135355.09 -406065.27 -52.62 * 33363 -1755561.06 Multiply 17756 and -277. -4918412 What is 22751146.2 times -3? -68253438.6 What is -7393 times -4.3? 31789.9 -30.07 * -24.118 725.22826 237 times 0.02372 5.62164 Calculate -0.31*-2.18604. 0.6776724 -23.27806 times 51.7 -1203.475702 -9.9817143 * -4 39.9268572 Product of -1.04 and -362975. 377494 Work out -3 * 0.01334666. -0.04003998 Multiply -0.535 and -9941. 5318.435 What is the product of -306.20976 and 0.2? -61.241952 Product of 1921074 and -22. -42263628 Product of -0.0156 and -13150. 205.14 -4531 times 1418 -6424958 -794217 * -1.24 984829.08 Product of 2 and 82233. 164466 -29.82 * -2154.2 64238.244 1 times 94362235 94362235 Calculate 0.0331529*-616. -20.4221864 What is the product of -0.4 and -6499329? 2599731.6 404459 * -270 -109203930 -0.3 times 492.053 -147.6159 Calculate -508819652*0. 0 Calculate -26.13*21.941. -573.31833 Calculate 7*178165276. 1247156932 What is 0.365684 times -0.13? -0.04753892 -796 * -0.67112 534.21152 6388735*-8 -51109880 What is -311707802 times -0.07? 21819546.14 Work out 1828 * -4.401. -8045.028 What is 92348 times -0.02? -1846.96 What is -0.075 times -0.0811? 0.0060825 What is -975 times -12340? 12031500 Multiply -1398066 and 104. -145398864 -41*-12.9475 530.8475 Calculate 0.4*7.7553362. 3.10213448 Multiply -0.16 and -959026. 153444.16 Product of -0.1 and 19.5116824. -1.95116824 Product of 0.2 and 76824.228. 15364.8456 2360 times 44440 104878400 Work out -0.05 * -51045341. 2552267.05 What is the product of 3654077 and -0.4? -1461630.8 Calculate -0.0326*-164914. 5376.1964 What is the product of -5907 and 30086? -177718002 0.3 * 59953844 17986153.2 What is -23699.8 times 0.0994? -2355.76012 24.29 * 1847 44863.63 3213220 * -15 -48198300 What is the product of -0.094 and 1039.39? -97.70266 What is the product of -0.1698 and -89.6? 15.21408 0.073*1504060 109796.38 What is 0.543 times -17465? -9483.495 Work out 13159 * 42. 552678 Work out 9 * 277681. 2499129 -6662.3 * 3.52 -23451.296 Work out 0.9 * 66036863. 59433176.7 Product of -21911 and -6.6135. 144908.3985 Multiply 0.5 and 172.3068. 86.1534 What is the product of -0.12022797 and -0.08? 0.0096182376 Multiply 0.17 and 48744. 8286.48 -2413411.4 * 0.5 -1206705.7 2.47 times -18.3955 -45.436885 What is the product of -19588 and -2074? 40625512 Calculate 11*3396620. 37362820 -0.3879898*0.05 -0.01939949 Work out 72 * 2.940174. 211.692528 88.817 times 0.01194 1.06047498 Product of -401 and 41776. -16752176 What is 0.01781 times -0.128877? -0.00229529937 -7494105.6 * -1 7494105.6 Product of -78 and -1009.0691. 78707.3898 What is the product of -54 and 2364.9? -127704.6 2.417*252603 610541.451 Work out -175.5 * -14383. 2524216.5 Calculate -29.6*0.0504592. -1.49359232 Multiply -4222232 and -0.2. 844446.4 Multiply -55522 and 85. -4719370 1561 * 80296 125342056 Multiply -6 and -69586191. 417517146 0.46 * 624497.3 287268.758 What is 0.1583 times -19577? -3099.0391 Calculate 5.2*8847.6. 46007.52 Multiply 4578729 and 13. 59523477 Work out -0.198845 * 1849. -367.664405 -148 times -166791 24685068 -73.9237076 * -0.4 29.56948304 Work out 365.57 * 17697. 6469492.29 Multiply 9548.504 and 12. 114582.048 -11313.3883 times 0.05 -565.669415 -1.07 * 1.68436 -1.8022652 -5108 times -321.5 1642222 0.243 * -5.50833 -1.33852419 Product of 59951 and 2472. 148198872 -4.9 times -115486 565881.4 Calculate -36.936*37.46. -1383.62256 136740608 * 0.5 68370304 Calculate 59.0928*-0.02. -1.181856 Multiply 88.5696 and 0.08. 7.085568 Multiply 55278 and -0.23. -12713.94 What is 24.129 times -6? -144.774 17388276 * -0.3 -5216482.8 Work out -1236140 * 1.5. -1854210 688873*4.8 3306590.4 Work out 9497594 * -0.3. -2849278.2 Calculate -0.5*8035.992. -4017.996 70000*85.42 5979400 -3090 times 47218 -145903620 What is 7 times 60.456317? 423.194219 -1114279 times -258 287483982 Multiply 0.204 and 24583. 5014.932 13.59685 times -2.4 -32.63244 -52.140959*-26 1355.664934 1102613632*-3 -3307840896 What is -238.623 times -12? 2863.476 Product of 19 and 485750.7. 9229263.3 Multiply -536476 and -0.07. 37553.32 What is 5 times 1932.8974? 9664.487 105 times -1464 -153720 Calculate 24.485*148. 3623.78 -2.4 * 410932 -986236.8 Multiply -0.5 and -16260939. 8130469.5 Calculate -1*11658804. -11658804 Product of -739444 and 16. -11831104 Multiply -9565 and -1.19. 11382.35 Work out 30717 * -86. -2641662 -4 * 108571374 -434285496 Work out 29414 * -2265. -66622710 0.0199*576186 11466.1014 -35 * -905374 31688090 Work out 1286038 * 15.3. 19676381.4 -0.4 times 90587331 -36234932.4 What is the product of -0.1185 and 1564? -185.334 -4.23949*13 -55.11337 What is the product of -0.03912 and -1.83? 0.0715896 Calculate -488*-445.7. 217501.6 Calculate -0.177*167181. -29591.037 What is 2 times 0.0530031? 0.1060062 Work out -2 * -133031867. 266063734 -6.55 * 0.129086 -0.8455133 Product of 0.00423 and -84112. -355.79376 What is the product of 2.4916 and 0.4176? 1.04049216 Work out -29021 * 1.3. -37727.3 Multiply 307531 and -37. -11378647 Calculate -0.84*-430017. 361214.28 Product of 37.4 and -149. -5572.6 Product of 0.4 and -78413445. -31365378 1 times 1.16994372 1.16994372 Work out 277.74 * -34252. -9513150.48 What is the product of 234 and 393? 91962 Multiply 0.10695547 and 32. 3.42257504 Calculate -1055.6412*0. 0 Multiply 3327 and 516.08. 1716998.16 Multiply -3786 and 414. -1567404 Calculate -287389*-76. 21841564 What is the product of 279184 and 6? 1675104 -1407.47 times 2.51 -3532.7497 42694 * 1.6 68310.4 Work out -60 * -419588. 25175280 What is -92.16 times 4826? -444764.16 Product of 122394608 and -5. -61197
{ "pile_set_name": "DM Mathematics" }
t is the remainder when 12 is divided by 4 - ((3 - (h + -2)) + -5)? 5 What is the remainder when (11 - (-11 - -27))*468/(-5) is divided by 10? 8 Let h(m) = 52*m**2 + 9*m - 2. What is the remainder when h(1) is divided by 23? 13 Suppose -116868 - 198884 = -58*s. What is the remainder when s is divided by 55? 54 Suppose -1442 = 15*t - 2417. What is the remainder when 440 is divided by t? 50 Suppose -5*o = -4*m - 20, -55 = 8*o - 13*o - 3*m. Calculate the remainder when 1261 is divided by o. 5 Suppose 109*l = 50*l + 9381. Calculate the remainder when 474 is divided by l. 156 Suppose -5*r + 1299 + 591 = -5*f, -1104 = -3*r - 3*f. Calculate the remainder when r is divided by 75. 73 Suppose -3*p + 6*p + 23104 - 59455 = 0. What is the remainder when p is divided by 12? 9 Suppose 3*x + 36 = -2*z + 193, -2*z - 5*x + 167 = 0. Suppose 0 = -2*d - 0*h - 2*h + 40, -2*h = -5*d + 65. What is the remainder when z is divided by d? 11 Let s(t) = -t**2 + 200*t - 425. What is the remainder when s(31) is divided by 25? 14 Suppose -l - 5*y + 47 = 0, -24*l + 4*y = -26*l + 100. Suppose -l = d - 70. What is the remainder when 141 is divided by d? 15 Let q be 4/(-3)*16*330/(-40). Let i = q - -65. What is the remainder when i is divided by 61? 58 Let d(p) = p**2 - 9*p + 15. Let l(q) = 6 - 2*q**2 + 4*q**2 + q - 11. Let u be l(3). What is the remainder when d(u) is divided by 43? 41 Let o = 33826 + -33795. What is the remainder when 367/3 + 1/(-3) is divided by o? 29 Suppose -17*b - 404 + 1951 = 0. Suppose -b = -6*u + 89. Let t(g) = 3*g**3 - 3*g**2 + g. What is the remainder when t(4) is divided by u? 28 Let k(v) = 117*v - 132. Let i(a) = a**3 - 9*a**2 + 10*a - 11. Let y be i(8). Calculate the remainder when k(y) is divided by 57. 54 What is the remainder when 563 is divided by 1*(-5 + 112 - -8)? 103 Let n(v) = -16*v + 11. Let y be (-2)/((2/7)/1). Calculate the remainder when n(y) is divided by 28. 11 Let p = 330 - 312. Suppose -z = -2*c - 3*z + 24, -4*z = -2*c + p. What is the remainder when 74 is divided by c? 8 Let g(r) be the second derivative of 31*r**3/6 + r**2/2 + 12*r. Suppose 3*p + 18 = 3*u, 0*p = -u - 5*p - 24. Calculate the remainder when g(u) is divided by 18. 14 Suppose 2*m = -2*p + 32, 30*p - 28*p - 37 = -3*m. Suppose 2 = 2*f - 2. What is the remainder when p is divided by f? 1 Suppose 49*y - 20019 = 16442 - 14852. Calculate the remainder when y is divided by 34. 33 Let r(x) = 382*x + 375*x - 140 - 727*x. Calculate the remainder when r(10) is divided by 7. 6 Let z = -10175 + 10356. What is the remainder when 1809 is divided by z? 180 Let m be (-3)/((-18)/(-4)) + (-5)/(-3). Calculate the remainder when 63 is divided by -2*(-14 - (m - 3)). 15 Suppose -4*w - x + 9 + 186 = 0, 2*x + 247 = 5*w. Suppose -196 = w*g - 56*g. Calculate the remainder when 558 is divided by g. 26 Let l = 94718 + -94680. Suppose z - 5*w = 0, -4*w = 2*z - 41 - 15. Calculate the remainder when l is divided by z. 18 Suppose -3*m = -75*m + 3168. What is the remainder when 406 is divided by m? 10 Let f(i) = -i**3 - 12 - 7*i**2 - 1 - 7 + 10 - 12*i + 0*i. Suppose 2*l = -3*l - 2*m - 43, -3*l + 5*m = 1. What is the remainder when f(l) is divided by 15? 14 Suppose -3 - 6 = -3*d. Suppose 2*r + 5 - d = 3*a, -2*a - 5*r = -33. Suppose 3*s - 19 = -3*o + 62, -a*o = s - 114. What is the remainder when o is divided by 10? 9 Let t(z) = -332*z + 2321. What is the remainder when t(6) is divided by 107? 8 Let i be -15 + 1/(-2)*-6. Calculate the remainder when ((-177)/i)/((-8)/(-32)) is divided by 33. 26 Suppose -2*q = v - 333, 86*q - 81*q - 1003 = -3*v. What is the remainder when 1263 is divided by v? 240 Let r = -45 - -64. Suppose -11*m + 22 = -0. Suppose 5*c - 148 = c + 3*y, m*y - 185 = -5*c. Calculate the remainder when c is divided by r. 18 Suppose 9 = 8*q - 39. Suppose 887 = q*y + 623. What is the remainder when 66 is divided by y? 22 Let d = -370 + 486. Suppose 3*f = -4*w + d, -3*w + 7 + 35 = f. Calculate the remainder when 138 is divided by f. 30 Suppose 2*s + 498 = -3*h + 519, 2*h = -5*s + 69. Calculate the remainder when 120 is divided by s. 0 Suppose -13*f = -11*f. Suppose -3 = 7*l - 157. What is the remainder when l is divided by 12/(0 + 1) + f? 10 Suppose 558*g - 555*g = 3*j - 126, -2*g + 21 = j. What is the remainder when j is divided by ((-6)/(-5))/(5/75)? 17 Suppose -6*m - 588 = -20*m. Suppose c + 3*c = 2*j - m, -c = -4*j + 112. Calculate the remainder when j is divided by 10. 9 Suppose 5*o = -4*i + 2*o + 183, -163 = -4*i + o. Suppose -i*a + 658 = 5*a. Calculate the remainder when 53 is divided by a. 11 Let v(t) = 226*t + 2. Let c be v(1). Let b = c - -82. Suppose 3*d = 4*d - 2*s - 106, 3*d - b = -2*s. Calculate the remainder when d is divided by 35. 34 Suppose 0 = -15*p + 1272 + 1023. Suppose 2*w + 3*d = w + 35, 4*w - 204 = 4*d. What is the remainder when p is divided by w? 12 Suppose -97*b = 72 - 3273. Calculate the remainder when 36 is divided by b. 3 Let h be -2*(-2)/8*(3 - 3). Let q be (h - (-4)/(-5))/((-2)/(-135)). Calculate the remainder when (-7764)/q - (1 + 11/(-9)) is divided by 21. 18 Suppose 9 = 3*z, -3*v - 3*z + 1107 = -2505. Calculate the remainder when v is divided by 149. 9 Let o be (-91580)/100 + 3/(-15). Let q = o + 922. What is the remainder when q is divided by 2/(-4) + 5/2? 0 Let q(z) = 6*z - 53. Let d be q(13). Suppose -d = w - 46. What is the remainder when 75 is divided by w? 12 Let x(u) = -u**3 + 2*u**2 - 13*u + 43. Let s be x(5). Let m = -82 - s. Calculate the remainder when 27 is divided by m. 12 Let g be (6/4)/(2/148). Let l = -76 + g. What is the remainder when (-9)/(-135) + 5 + (-41559)/(-315) is divided by l? 32 Suppose -2*c + 82 = 2*k, 41*k = -4*c + 36*k + 167. Calculate the remainder when c is divided by 30. 8 Let t(f) = -f - 2*f**2 + 1 + f**2 + 8*f + f. Let y be t(7). Suppose 13*l = y*l + 30. What is the remainder when 20 is divided by l? 2 Let u(z) be the second derivative of z**4/12 - 2*z**3 - 30*z**2 - 56*z. Calculate the remainder when 13 is divided by u(16). 1 Let n(b) = 520*b + 154. Calculate the remainder when n(2) is divided by 19. 16 Let z = 655996 - 655956. What is the remainder when -1 - ((-199)/1 - -1) is divided by z? 37 Let n(c) = -2*c**3 + 13*c**2 + 2*c + 16. Calculate the remainder when 345 is divided by n(4). 33 Let m = 126 - 121. Suppose -3*b = -2*p - 106, m*p = 5*b + 8*p - 164. Calculate the remainder when 130 is divided by b. 28 Suppose 182*c = 5510 + 778 + 446. Calculate the remainder when 624 is divided by c. 32 Let b(h) = 4*h + 3880. Let a be b(0). Suppose 5*l + 5*l - a = 0. Calculate the remainder when l is divided by 30. 28 Suppose -5*t + 500 = 5*w, 2329*w + 401 = 2333*w + 5*t. What is the remainder when w is divided by -3 + (-10 - -2)*-4? 12 Let k be (2 - (-9 + 1)) + -1. Let n be 240/k + 1/3 + 0. Suppose 25*d + 6 = n*d. Calculate the remainder when 13 is divided by d. 1 Suppose 4*o - 258 + 250 = 0. What is the remainder when 31 is divided by o/7 + 240/140? 1 Let t(f) = -31*f - 1080. Calculate the remainder when t(-36) is divided by 12. 0 What is the remainder when ((-276)/(-9))/(-4)*-381 is divided by 34? 31 Suppose 0 = w - 2*m - 5 + 1, -5*w - 4*m = -34. Suppose -w*l - 957 = -999. What is the remainder when 20 is divided by l? 6 Let j be (4 + -6)/(32/(-912)). Suppose -11 = -n + 2*q, -2*q + j - 8 = 3*n. Calculate the remainder when 284 is divided by n. 14 Let p(f) = 3*f**2 + 103*f - 444. Calculate the remainder when 866 is divided by p(4). 2 Suppose 5*g + 72 = 8*g. What is the remainder when (-4472)/208*(-9 - 1) is divided by g? 23 Calculate the remainder when 752 is divided by 9 + (3424/48)/(6/9). 56 Suppose 1 = d - 1, -475*d - 106 = -2*r - 478*d. Suppose 5*u = 5*p - 182 - 308, 2*p + 2*u = 200. What is the remainder when p is divided by r? 49 What is the remainder when 977 is divided by ((-2744)/56)/(1/(-1))? 46 Calculate the remainder when 489 + (-3)/(45/15) is divided by 18. 2 Suppose -4*i = 173 - 581. Suppose -5*b - 30 - i = -3*z, 0 = 3*z + 5*b - 102. Suppose 11*m - 4*m = 77. What is the remainder when z is divided by m? 6 Calculate the remainder when 1782 is divided by ((60/35)/(2/(-290)))/(8/(-28)). 42 Suppose 412 = 12*k - 8*k. Calculate the remainder when k is divided by (-64)/(-80) - (-181)/5. 29 Let s(u) = u**2 + 8*u - 2. Let
{ "pile_set_name": "DM Mathematics" }
. 161*sqrt(11) Simplify sqrt(176)*1 - ((sqrt(110)*3 + sqrt(110) + sqrt(110) + sqrt(110))/sqrt(10))**2. -396 + 4*sqrt(11) Simplify (((sqrt(513) - sqrt(513)*1) + sqrt(513))/sqrt(9))/(sqrt(48) + (sqrt(48) - (sqrt(192)/sqrt(4) - sqrt(48)))). sqrt(19)/8 Simplify -3 + -3*sqrt(300). -30*sqrt(3) - 3 Simplify 5*(-3 + (-1*sqrt(1900) + sqrt(1900) - sqrt(1900) - sqrt(1900)))**2. 600*sqrt(19) + 38045 Simplify (-4 + -3*sqrt(171)*2)**2. 144*sqrt(19) + 6172 Simplify (sqrt(28)/(2*sqrt(4)) - (-1 + sqrt(252)))**2*-1. -851/4 + 11*sqrt(7) Simplify (4*(sqrt(1008) + -4 + sqrt(1008) + -3))**2. -5376*sqrt(7) + 65296 Simplify (((sqrt(1331) - (0 + sqrt(1331)))*1 - (-3 + 0 + sqrt(1331) + sqrt(1331))) + 2)**2. -220*sqrt(11) + 5349 Simplify (sqrt(17) - (sqrt(17) + 2 + -5) - sqrt(17) - (sqrt(17) + -1)*6) + 0. -7*sqrt(17) + 9 Simplify sqrt(119)/(-4*sqrt(7)*2). -sqrt(17)/8 Simplify (((3*sqrt(209) - sqrt(209))/sqrt(11) - (sqrt(931) - 3*sqrt(931)))*5)**2. 121600 Simplify 1 + (sqrt(2057) + -2)*5. -9 + 55*sqrt(17) Simplify -5 + -3 + (2*(-2 + sqrt(7) - sqrt(7)))**2. 8 Simplify (-1 + 1 + sqrt(396))**2. 396 Simplify (sqrt(1584) + 2 + sqrt(99) + 2)**2. 120*sqrt(11) + 2491 Simplify (sqrt(209)/(sqrt(11) - (sqrt(176)*2 + sqrt(176))))**2. 19/121 Simplify (5 + (1*sqrt(27) + sqrt(27))/sqrt(9))**2. 20*sqrt(3) + 37 Simplify -4*(3 + (sqrt(468) - (-2 + sqrt(468) - sqrt(468)))**2). -1900 - 96*sqrt(13) Simplify (sqrt(45)/sqrt(20))/((sqrt(27) + sqrt(432))/sqrt(9)). sqrt(3)/10 Simplify 2*sqrt(1584) + sqrt(99)*-4. 12*sqrt(11) Simplify (-1 + 1 + sqrt(17) + (sqrt(17) + -1 + -5 - sqrt(17)))**2. -12*sqrt(17) + 53 Simplify (sqrt(7623) + -1)**2 + -1. -66*sqrt(7) + 7623 Simplify (-5*(sqrt(77) + (1*sqrt(77) - sqrt(77)) + sqrt(77)))/(6*1*sqrt(11) - sqrt(11)). -2*sqrt(7) Simplify sqrt(15)/(sqrt(18)/sqrt(6))*-1. -sqrt(5) Simplify -4*(sqrt(10)/(6*sqrt(72)))**2. -5/324 Simplify -1*(sqrt(17) + 2) - (sqrt(17)*1*-1)**2. -19 - sqrt(17) Simplify (4*(sqrt(136)*3*-4)/sqrt(8))**2. 39168 Simplify (sqrt(171)*-1 - (1 + sqrt(19))*-4)**2. 8*sqrt(19) + 35 Simplify (sqrt(48)/sqrt(4))**2 - (sqrt(189) + sqrt(21))/sqrt(7). -4*sqrt(3) + 12 Simplify ((5 + 0 + sqrt(200))*-5)**2. 2500*sqrt(2) + 5625 Simplify -2*(sqrt(68) + sqrt(68) + 1 + sqrt(68)). -12*sqrt(17) - 2 Simplify 1 + -6*(sqrt(833))**2*6. -29987 Simplify sqrt(7) + sqrt(7) + (sqrt(252)/sqrt(4))**2 - (2 + sqrt(847))**2. -788 - 42*sqrt(7) Simplify -5*sqrt(33)/(sqrt(44)/sqrt(4)). -5*sqrt(3) Simplify sqrt(1100) + 4 + 2. 6 + 10*sqrt(11) Simplify sqrt(7) + -1 + (sqrt(7) + 0)**2 + (sqrt(7) - (-4 + sqrt(63))). -sqrt(7) + 10 Simplify ((sqrt(7)*1 + 0 - sqrt(7)) + -3)**2*5. 45 Simplify (sqrt(304) + 5)**2 + sqrt(57)/sqrt(192). 321*sqrt(19)/8 + 329 Simplify (sqrt(432) - (sqrt(432)*1)**2) + sqrt(432) + sqrt(9)/sqrt(363). -432 + 265*sqrt(3)/11 Simplify -5*-5*3*(sqrt(1008) + 1)**2. 1800*sqrt(7) + 75675 Simplify sqrt(2) + sqrt(2) + (sqrt(2) + sqrt(18))*-3 + (sqrt(2) - (sqrt(2) + (sqrt(2) - 6*(sqrt(2) - sqrt(2)*1)))) + 2. -11*sqrt(2) + 2 Simplify -2*(sqrt(2) - sqrt(6)/sqrt(3))**2*-6*-1. 0 Simplify 1*(0 + sqrt(252)). 6*sqrt(7) Simplify -5*sqrt(12) + ((sqrt(180)/sqrt(6))/sqrt(10))**2. -10*sqrt(3) + 3 Simplify (sqrt(228) - -1*(-1*sqrt(228) - sqrt(228)))/sqrt(12). -sqrt(19) Simplify (-1*sqrt(44)*2)**2. 176 Simplify ((sqrt(170)*4 - sqrt(170))*6)/sqrt(10). 18*sqrt(17) Simplify (1*(sqrt(99) + -5*sqrt(99)))/sqrt(9). -4*sqrt(11) Simplify -6*(0 + sqrt(7))**2 + (sqrt(343) + 0)**2 + sqrt(343). 7*sqrt(7) + 301 Simplify (2 + sqrt(1100))*-3 - sqrt(1100). -40*sqrt(11) - 6 Simplify -3 + (sqrt(117) - (sqrt(117) + 0 - sqrt(117))) + 0. -3 + 3*sqrt(13) Simplify sqrt(130)/((-2*sqrt(100))/sqrt(10)) + -2*sqrt(832)*6. -193*sqrt(13)/2 Simplify (-4*(3 + -3 + (sqrt(13) - sqrt(52)/sqrt(4))))**2. 0 Simplify 3 + (sqrt(605) - ((-2 + sqrt(605))**2*2 + sqrt(605))). -1215 + 88*sqrt(5) Simplify sqrt(1088) + 1 + sqrt(1088) + 0. 1 + 16*sqrt(17) Simplify ((sqrt(11) - (sqrt(33)/sqrt(3) + -5)) + (sqrt(11) + 1)*-5 + 2)**2 + -2. -20*sqrt(11) + 277 Simplify (sqrt(3) - (0 + sqrt(3) - sqrt(3)))*4 + sqrt(6)/sqrt(2) + 0. 5*sqrt(3) Simplify -2 + ((1 + sqrt(304) + sqrt(304))**2 - sqrt(304))*-1. -1219 - 12*sqrt(19) Simplify ((sqrt(24)*-2)/sqrt(2))/(sqrt(6) - (sqrt(6) + sqrt(24))*3). sqrt(2)/4 Simplify ((sqrt(13) + -2)*1)**2 + 1 + (2 + sqrt(13))**2. 35 Simplify sqrt(143)/(-4*5*sqrt(11)). -sqrt(13)/20 Simplify 4*(sqrt(3) + sqrt(6)/(sqrt(4)/sqrt(2)))**2. 48 Simplify (3*2*sqrt(76) - sqrt(76))/(-1*sqrt(196)). -5*sqrt(19)/7 Simplify (sqrt(286)/(sqrt(11) - (sqrt(11) - sqrt(396))))/sqrt(2). sqrt(13)/6 Simplify ((sqrt(30)/sqrt(3) + sqrt(10))*3)/(-1*sqrt(720) + sqrt(5)). -6*sqrt(2)/11 Simplify (sqrt(756)/(-3*sqrt(60)/sqrt(5)))**2. 7 Simplify (2 + sqrt(720) + -4 + sqrt(5)*1)**2. -52*sqrt(5) + 849 Simplify sqrt(2) - sqrt(4)/(2*sqrt(2) + sqrt(2)) - (sqrt(80)/sqrt(4))/sqrt(10). -sqrt(2)/3 Simplify (1*sqrt(45) + 1)**2 + -5. 6*sqrt(5) + 41 Simplify (2*(0 + sqrt(363)) + 2)**2. 88*sqrt(3) + 1456 Simplify ((sqrt(1584) - (sqrt(1584) - (1 + -2 + sqrt(1584) - sqrt(1584)))) + 2)**2. 1 Simplify -3 + sqrt(6)/(sqrt(75)*-1). -3 - sqrt(2)/5 Simplify (sqrt(192)*-3 + sqrt(192) - sqrt(108)/sqrt(4))*2. -38*sqrt(3) Simplify (-5*sqrt(26)/sqrt(2))**2 + -4. 321 Simplify 3 + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + (sqrt(1573)*-2 - sqrt(1573))**2)) + sqrt(1573). -14154 + 22*sqrt(13) Simplify sqrt(12) + 0 + sqrt(3)*-1 + 5 + -1. sqrt(3) + 4 Simplify (sqrt(10)*-2)/sqrt(5) + (0 + sqrt(2) + -3)**2. -8*sqrt(2) + 11 Simplify (sqrt(55)/sqrt(5)*-1)**2 - ((-2*sqrt(99) - sqrt(99))/sqrt(9))**2. -88 Simplify sqrt(396) - (sqrt(396) - (sqrt(396)*-2 + -1))**2. -3565 - 30*sqrt(11) Simplify (sqrt(28))**2*-2 + (-1*(sqrt(14)/sqrt(2) - sqrt(7)))**2. -56 Simplify (sqrt(2057) + 0)**2 + 2 - ((sqrt(17)*-2*3 - sqrt(17)) + -1). 7*sqrt(17) + 2060 Simplify (2*-2*sqrt(20))/(sqrt(60)/sqrt(96)). -16*sqrt(2) Simplify 6*(-4*sqrt(147) - sqrt(147)). -210*sqrt(3) Simplify ((sqrt(19) + 1)**2 + 1 - sqrt(19))*4. 4*sqrt(19) + 84 Simplify ((sqrt(13) + 2)**2 + -3)*-6*3. -72*sqrt(13) - 252 Simplify 2*(-1 + sqrt(3))*2. -4 + 4*sqrt(3) Simplify 2*((1*sqrt(567) - sqrt(567)) + 4)**2. 32 Simplify (sqrt(121) + ((sqrt(121) + -3*sqrt(121))*5 + sqrt(121) - sqrt(121)))/(3*sqrt(1100) - sqrt(1100) - sqrt(1100)). -9*sqrt(11)/10 Simplify 5 + -3 + sqrt(700) + 3. 5 + 10*sqrt(7) Simplify 4 + sqrt(34)/(sqrt(4)/sqrt(2))*-4. -4*sqrt(17) + 4 Simplify 5 + (-4*(sqrt(7) + -1) - sqrt(7))**2. -40*sqrt(7) + 196 Simplify 1*(sqrt(17) + sqrt(17) + 1) + -1 - sqrt(187)/(sqrt(11) - -6*sqrt(33)/sqrt(3)). 13*sqrt(17)/7 Simplify 2 + (-1*(-1 + sqrt(13)) - (sqrt(13) + -1*sqrt(13) + 3)). -sqrt(13) Simplify ((sqrt(720) + 1 + -5 - (sqrt(720) + sqrt(720) + 0 + sqrt(720) + 2)) + 3)**2. 144*sqrt(5) + 2889 Simplify (sqrt(847) + -1 + (sqrt(168)/sqrt(3))/sqrt(8))**2 + 0. -24*sqrt(7) + 1009 Simplify (sqrt(5) + sqrt(180)/sqrt(4) + sqrt(10)/sqrt(8))**2. 405/4 Simplify (-3*((sqrt(15) - sqrt(30)/sqrt(2)) + sqrt(15) - sqrt(15)))/((sqrt(5) + sqrt(10)/sqrt(2))*3 + sqrt(5) + sqrt(5)). 0 Simplify (-2*-6*(4 + (sqrt(325) - (sqrt(325) + -2)) + sqrt(325)))**2. 8640*sqrt(13) + 51984 Simplify sqrt(78)/(4*sqrt(6)) + -4*(sqrt(13) + sqrt(637)). -127*sqrt(13)/4 Simplify 5 + ((-3 + sqrt(112))*1)**2. -24*sqrt(7) + 126 Simplify (((sqrt(220) - (sqrt(220) + sqrt(220)*2 - sqrt(220)) - sqrt(220) - sqrt(220))/sqrt(4))/(4*(sqrt(5)*-1 - sqrt(5))))**2. 99/64 Simplify (sqrt(133) + sqrt(133)*-2*-6)/(-2*sqrt(7)*-2). 13*sqrt(19)/4 Simplify ((5*(1 + sqrt(7) + sqrt(7)) - sqrt(7))*5)**2. 2250*sqrt(7) + 14800 Simplify (-3*sqrt(1300)*2)**2. 46800 Simplify ((sqrt(105)/sqrt(5) + sqrt(21))*-2)/(sqrt(56)/(sqrt(32)/sqrt(4))). -4*sqrt(3) Simplify sqrt(3) + -1 + -1 - (5 + 2*sqrt(3)). -7 - sqrt(3) Simplify (sqrt(208) + 1)*-2 + -2. -8*sqrt(13) - 4 Simplify (sqrt(1539) + 0 + sqrt(1539) + -3)**2. -108*sqrt(19) + 6165 Simplify 0 + sqrt(38)/sqrt(2)*1 + 5. sqrt(19) + 5 Simplify (sqrt(14)/sqrt(32)*4 + 1)**2. 2*sqrt(7) + 8 Simplify 1*sqrt(304) - 3*(sqrt(95)/sqrt(5) + sqrt(19)). -2*sqrt(19) Simplify (((sqrt(200) + sqrt(200)*-4)*5 + sqrt(200))/sqrt(10))**2. 3920 Simplify sqrt(76)/(sqrt(64)*2)*-3*6. -9*sqrt(19)/4 Simplify (2*sqrt(102)*-6)/sqrt(6). -12*sqrt(17) Simplify ((1 + sqrt(51)/sqrt(3))*-5)**2. 50*sqrt(17) + 450 Simplify sqrt(605)*-2*3*-2 + 1. 1 + 132*sqrt(5) Simplify (5*(sqrt(204) + sqrt(204)*2) + sqrt(204))/(sqrt
{ "pile_set_name": "DM Mathematics" }
8. Let k be f(7). Let n(m) = -m. Let g(o) = 7*o - 2. Determine k*g(h) - 6*n(h). -h + 2 Let m(b) = -6*b**3 - 27*b**2 - 27*b - 27. Suppose 4*t = -3*i + 93, -2*i - 77 = -2*t - 13. Let s(u) = -u**3 - 4*u**2 - 4*u - 4. What is t*s(h) - 4*m(h)? -3*h**3 Let j(c) = 4*c**2 - 6*c. Let o(y) = -y**2 + y - 1. What is j(f) + 6*o(f)? -2*f**2 - 6 Let g(o) = -3*o**2 + 3*o + 2. Let u(z) = -7*z**2 + 7*z + 4. Let a be (-42)/(-4) - 33/(-22). Let x = 6 + 11. Let v = a - x. What is v*g(y) + 2*u(y)? y**2 - y - 2 Let k(b) be the third derivative of 3*b**6/40 + 7*b**5/60 - b**3/6 - 17*b**2. Let r(c) = -4*c**3 - 3*c**2. Give 3*k(f) + 7*r(f). -f**3 - 3 Let r(q) = 34*q**2 + 2. Let g(x) = 17*x**2 + 1. What is 7*g(w) - 4*r(w)? -17*w**2 - 1 Let l(b) = -b + 1. Let d(x) be the second derivative of -x**3 + 3*x**2/2 + 4*x. What is d(g) - 5*l(g)? -g - 2 Let l(u) = 2*u**3 - 6*u**2 + 3. Let c(x) = 5*x**3 - 17*x**2 + 8. Calculate 3*c(w) - 8*l(w). -w**3 - 3*w**2 Let y(v) = -4*v**2 - 4*v + 9. Let i(o) = -o**2 + o**2 - o + o**2 + 2 - 2*o**2. Calculate 26*i(h) - 6*y(h). -2*h**2 - 2*h - 2 Let u(l) = -7*l**2 + 1 + 2*l + 6*l**2 + 0*l**2. Let x(k) = 2*k**2 - 4*k - 2. Suppose 0 = -2*b - b + 15. Determine b*u(w) + 2*x(w). -w**2 + 2*w + 1 Let w be -15*3/10*(-32)/24. Let p(j) = 2*j**3 + 5*j**2 + 6*j + 6. Let s(b) = -2*b**3 - 4*b**2 - 5*b - 5. What is w*s(l) + 5*p(l)? -2*l**3 + l**2 Let m(l) = 11*l**3 + 5*l**2 + 5. Let s(k) = 2*k**2 - 13 - 4*k + 15 + 5*k**3 + 4*k. Calculate -2*m(h) + 5*s(h). 3*h**3 Let x(d) be the first derivative of d**3/3 - d**2/2 - d - 1. Let k(n) be the first derivative of -n**3/3 - 3*n**2/2 - 29. Calculate k(w) - x(w). -2*w**2 - 2*w + 1 Let q(b) = -9*b + 7. Let m be (1 + (-1 - 1))*1. Let p be 5/(-10)*(-7 + m). Let g(j) = -5*j + 4. What is p*q(i) - 7*g(i)? -i Let m(f) = 2*f + 8. Let l(w) = -3*w - 9. Give 5*l(y) + 6*m(y). -3*y + 3 Let w(y) = 13*y**2 - 6. Let z(a) = 1. Give w(s) + 6*z(s). 13*s**2 Let d(y) = -377*y**2 + 104*y - 104. Let f(n) = 18*n**2 - 5*n + 5. Determine -5*d(m) - 104*f(m). 13*m**2 Let m(r) = r**3 + r**2 + r + 1. Suppose -q + 2*q - i = -17, 3 = i. Let g = 11 + q. Let v(j) = j**2 + j + 1. What is g*v(d) + 3*m(d)? 3*d**3 Let f(y) = 7*y**2 - 2. Let o(z) = 120*z**2 - 35. Determine 105*f(i) - 6*o(i). 15*i**2 Let p(f) = -f**2 - 1. Let r(i) = -i**3 + 6*i**2 + 5. Let m = -6 + 1. What is m*p(x) - r(x)? x**3 - x**2 Let i(x) = 2*x**3 + 7*x - 2*x + 3 - 7*x + 6*x. Let j(n) = n + 1. Let g(m) = -m**3 - 3*m**2 - m - 4. Let b be g(-3). What is b*i(h) + 4*j(h)? -2*h**3 + 1 Let w(r) = r**2 - 4*r + 7. Suppose 0 = -p - 3*x + 8, -x + 24 = 4*p + 3*x. Let b(h) = h**2 - 3*h + 5. Determine p*w(i) - 7*b(i). -2*i**2 + i Let w(z) = 4*z**3 - 4*z - 8*z**2 - 5*z**3 + 6*z**2. Let r(c) = -2*c**3 - 4*c**2 - 7*c. Determine -4*r(i) + 7*w(i). i**3 + 2*i**2 Let r(g) = -g - 3. Let h(p) = 0*p - 2*p + p - 2. Let f(q) = q**2 + 10*q + 14. Let k be f(-9). Give k*h(t) - 4*r(t). -t + 2 Let s(l) = -4*l**3 + 4*l**2 - 3*l + 3. Let k(c) = -c**3 + c**2 + 1. Determine 3*k(f) - s(f). f**3 - f**2 + 3*f Let v(z) = 45*z**2 + 11*z. Let m(r) = -11*r**2 - 3*r. Give 22*m(t) + 6*v(t). 28*t**2 Let k(n) = 7*n**2 + 4*n - 1. Let o(w) = -14*w**2 - 9*w + 2. Give 7*k(u) + 3*o(u). 7*u**2 + u - 1 Let q(n) = 4*n**3 - 2*n**2 - n. Let b(l) = 3*l**3 - 2*l**2 - l. Give 5*b(u) - 4*q(u). -u**3 - 2*u**2 - u Let t(o) be the second derivative of o**4/4 + 11*o. Let i(c) = -8*c**2. Let n be 3*2/6*-4. Calculate n*i(a) - 11*t(a). -a**2 Let w(i) = 2*i**2. Let n(r) = -2*r**2. Suppose 3*p = 9 + 3. Give p*w(a) + 3*n(a). 2*a**2 Let x(i) = 0*i**3 - 8*i**3 - 2001*i**2 - 5 + 1996*i**2. Suppose -5*l + 20 = -5. Let c(z) = 9*z**3 + 6*z**2 + 6. Give l*c(s) + 6*x(s). -3*s**3 Let k(c) = 2*c - 6. Let v(t) = -t + 5. Let u(a) be the second derivative of a**5/20 - a**4/2 + 7*a**3/6 - 7*a**2/2 + a. Let m be u(5). What is m*k(o) + 4*v(o)? 2*o + 2 Let b(z) = 5*z**2 + z - 6. Suppose 3*q - 5*t - 8 = 0, 2*q = 6*q + 3*t - 30. Let d(n) = -11*n**2 - 2*n + 13. What is q*d(w) + 13*b(w)? -w**2 + w Let k be (5 - 2)*4/(-6). Suppose g - 4 = -0. Let l(s) = 3*s - 1 + g*s**2 + 5*s**3 + 0 - 3*s**2 + 0. Let y(c) = 4*c**3 + c**2 + 2*c - 1. What is k*l(w) + 3*y(w)? 2*w**3 + w**2 - 1 Suppose -h + 8 = 4*l, 6*h = h - 3*l + 40. Let g(f) = -h*f + 3*f + f**2 - 2*f**3 + 4*f**2. Let r(z) = -2*z**3 + 6*z**2 - 6*z. Give -6*g(v) + 5*r(v). 2*v**3 Suppose 2*w - 6 = 2*g + 12, -18 = 2*g + 3*w. Let u(k) = 3*k**2 - 2*k - 1. Let n(b) = -7*b**2 + 4*b + 2. Give g*u(c) - 4*n(c). c**2 + 2*c + 1 Let k(f) = 16*f + 17. Let x(m) = -4*m - 4. What is 2*k(c) + 9*x(c)? -4*c - 2 Let h(f) = f**3 + 12*f**2 + 9*f + 9. Let s(k) = -k + 2. Let q be s(4). Let a(n) = 3*n**2 + 2*n + 2. Calculate q*h(i) + 9*a(i). -2*i**3 + 3*i**2 Let o(b) = b + 9. Let u be o(-7). Let f(i) = -u*i + 3*i - 4*i. Let v(z) = -30*z. Calculate 21*f(w) - 2*v(w). -3*w Let c(f) = -6*f**2 + 6*f - 6. Let w(i) = -i - 1. Let g(k) = 2*k. Let b(z) = g(z) + w(z). Calculate -6*b(q) + c(q). -6*q**2 Let h(j) = j**2 + j. Let v(k) = 16*k**2 + 14*k. What is -84*h(x) + 6*v(x)? 12*x**2 Let p(m) = 4*m**3 - 2*m**2 + 3. Suppose -4*j + 20 = -9*j. Let w = j - 0. Let s(t) = -3*t**3 + 2*t**2 - 2. Determine w*p(n) - 5*s(n). -n**3 - 2*n**2 - 2 Let m(t) = 28*t**3 - t + 2. Let c(w) = 29*w**3 - w + 3. Give 2*c(j) - 3*m(j). -26*j**3 + j Let m(f) = 27*f + 4. Let y(a) = 13*a + 2. What is 2*m(u) - 5*y(u)? -11*u - 2 Let x(n) = -12*n**3 - 11*n + 10. Let p = -20 - 2. Suppose 4*y + 2 = 3*y. Let a(z) = z**3 + z - 1. Calculate p*a(b) + y*x(b). 2*b**3 + 2 Let p(q) = 19*q - 2. Let u(k) = 246*k - 27. What is 27*p(l) - 2*u(l)? 21*l Let r(l) = 3*l**3 + l**2 - 10. Let y(j) = -7*j**3 - 2*j**2 - j + 21. Determine 5*r(h) + 2*y(h). h**3 + h**2 - 2*h - 8 Let w(l) = l - 2. Let r(b) = -2*b + 1. What is 3*r(t) + 4*w(t)? -2*t - 5 Let u(l) = -11*l**2 - 4. Let z(y) = -10*y**2 - 3. Calculate 2*u(j) - 3*z(j). 8*j**2 + 1 Let o(i) = -108 - 5*i + i**2 + 113 + 0*i**2. Let x(n) = n**2 - 6*n + 6. Calculate -6*o(w) + 5*x(w). -w**2 Let g(t) be the second derivative of -t**4/12 - 2*t**3/3 - 3*t**2/2 + 8*t. Let w(p) = 2*p**2 + 7*p + 5. Calculate -5*g(q) - 3*w(q). -q**2 - q Let c(b) = -b**3 - 3*b**2 - 3. Let p = -3 + 7. Let d be (-6)/2 + -6 + 6. Let l = d - -6. Let y(j) = 2*j**3 + 4*j**2 + 4. Give l*y(m) + p*c(m). 2*m**3 Let x(t) = t**3 - t**2 - 2*t + 2. Let m(h) = -6*h**3 + 4*h**2 + 11*h - 11. Let r(o) = -2*m(o) - 11*x(o). Let k(w) = 4*w**2. Determine 3*k(f) - 4*r(f). -4*f**3 Let c(b) = -b**3 - 5*b**2 - 4*b - 6. Let h be c(-5). Let r = 3 - 5. Let d(n) = 7 - 8*n**3 - 7 + 7. Let t(w) = -w**3 + 1. Calculate h*t(v) + r*d(v). 2*v**3 Let l(g) = -5*g**2 - 5*g - 6. Let c(d) = -6*d**2 - d + 4. Let r(p) = 7*p**2 + p - 5. Let o(t) = -6*c(t) - 5*r(t). Give l(q) + 4*o(q). -q**2 - q - 2 Let w(u) = -4. Let o(i) = -i + 7. Suppose -s = -5*c + 2*s + 24, -2*s = -2*c + 12. Give c*o(g) + 5*w(g). -3*g + 1 Let h(p) = -4*p - 9. Let v(j) = -j. Let l(q) = 1. Let z(s) = -2*l(s) + v(s). Suppose 0 = -3*w - 2*b + 37, -4*w + 13 = 2*b - 33. Determine w*z(y) - 2*h(y). -y Let l(g) = g**3 + 3*g**2 - 5*g. Let j be l(-4). Let m(r) = 2*r + 5. Let c(o) = 3*o + 9. Give j*c(i) - 7*m(i). -2*i + 1 Let s(q) = -1. Let x(t) = -15*t - 9. Calculate -6*s(y) + x(y). -15*y - 3 Let y(u) = 3*u - 4. Suppose -5*w = 3*k - 4, k + 3*k + 2*w - 10 = 0. Let c(m) = -3*m + 5. Determine k*y(h) + 2*c(h). 3*h - 2 Suppose -10 = -2*u, 4*k - 3*k + 4*u - 26 = 0. Suppose -k*b + 10*b + 8 = 0. Let t(n) = n**3 - n + 1. Let c(i) = -2*i**3 - i**2 + i - 1. Give b*c(w) - 2*t(w). 2*w**3 + 2*w**2 Let i(p) = -p**2 - 5 - 9*p**2 - 10*p + 5*p**2. Let r(d) = -6*d**2 - 11*d - 6. Determine -7*i(n) + 6*r(n). -n**2 + 4*n - 1 Let n(w) = -w**2 - 7*w - 1. Let h(u) = u**2 + 7*u. Calculate -4*h(x) - 3*n(x). -x**2 - 7*x + 3 Suppose 7*o - 3*o - 12 = 0. Let l(w) = 2 - o + 2 - w. Let u(v) = -5*v + 3. Give 3*l(t) - u(t). 2*t Let b(x) = -2*x**3 + 5*x**2 - 3*x + 2. Let k(w) = 3*w**3 - 8*w**2 + 5*w - 3. Let r(u) = u**2 + 10*u - 16. Let j be r(-11). Give j*k(d) - 8*b(d). d**3 - d - 1 Let z be (6 - 3) + 0 + -7. Let a(b) = -b + 2. Let j(n) = 10 - 6 - n - 2. Calculate z*j(q) + 5*a(q). -q + 2 Let d(f) = -5*f + 1. Let c(u) = 2*u - 1. Give -7*c(q) - 3*d(q). q + 4 Let d(z) = -9*z**2 + 9*z + 2. Suppose 3*x - 4*f = -13, 4*x + 34 = 5*f - 3*f. Let t(s) = -5*s**2 + 5*s + 1. What is x*t(o) + 6*d(o)? o**2 - o + 1 Let j(s) =
{ "pile_set_name": "DM Mathematics" }
digit of 2439375023? 4 What is the thousands digit of 61762118? 2 What is the ten thousands digit of 965081339? 8 What is the hundred thousands digit of 135847233? 8 What is the hundreds digit of 48884931? 9 What is the thousands digit of 107418597? 8 What is the hundreds digit of 5133969475? 4 What is the tens digit of 31341502? 0 What is the units digit of 8994542? 2 What is the hundred thousands digit of 16436490? 4 What is the millions digit of 617461816? 7 What is the tens digit of 17990479? 7 What is the millions digit of 42859891? 2 What is the hundred thousands digit of 12259657? 2 What is the millions digit of 239653155? 9 What is the millions digit of 3687712574? 7 What is the hundred thousands digit of 5016717477? 7 What is the hundreds digit of 366704677? 6 What is the tens digit of 5891931836? 3 What is the tens digit of 659140509? 0 What is the hundreds digit of 49864855? 8 What is the hundreds digit of 278557394? 3 What is the ten thousands digit of 1280380609? 8 What is the hundred thousands digit of 675218067? 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7 What is the tens digit of 1111108480? 8 What is the hundreds digit of 49779945? 9 What is the hundreds digit of 93722809? 8 What is the hundreds digit of 399805272? 2 What is the tens digit of 7756371230? 3 What is the thousands digit of 130159056? 9 What is the thousands digit of 12728761? 8 What is the hundreds digit of 3524535598? 5 What is the hundred millions digit of 179010519? 1 What is the thousands digit of 60727532? 7 What is the hundred thousands digit of 84115815? 1 What is the ten millions digit of 94692281? 9 What is the thousands digit of 55573137? 3 What is the hundred thousands digit of 1787181? 7 What is the ten millions digit of 443317822? 4 What is the units digit of 98903578? 8 What is the millions digit of 230965865? 0 What is the thousands digit of 9288352? 8 What is the thousands digit of 6086659901? 9 What is the hundreds digit of 3031434867? 8 What is the thousands digit of 167011885? 1 What is the ten millions digit of 276611801? 7 What is the hundred thousands digit of 196187570? 1 What is the ten thousands digit of 534302337? 0 What is the units digit of 593685104? 4 What is the hundred thousands digit of 113135733? 1 What is the units digit of 399919686? 6 What is the ten millions digit of 60280555? 6 What is the ten millions digit of 47810784? 4 What is the ten thousands digit of 45741453? 4 What is the ten millions digit of 2068056196? 6 What is the units digit of 1259752463? 3 What is the thousands digit of 1381465212? 5 What is the thousands digit of 537705439? 5 What is the millions digit of 345593500? 5 What is the hundred millions digit of 283541778? 2 What is the thousands digit of 1251191242? 1 What is the ten millions digit of 2329888541? 2 What is the ten millions digit of 62835700? 6 What is the ten millions digit of 62164296? 6 What is the tens digit of 654100770? 7 What is the tens digit of 3560399582? 8 What is the tens digit of 4057269? 6 What is the millions digit of 3717535153? 7 What is the units digit of 5044093911? 1 What is the ten millions digit of 2487252558? 8 What is the hundred tho
{ "pile_set_name": "DM Mathematics" }
ase 7) to base 4 -11320102330 What is a0920 (base 15) in base 13? 14a495 What is 207571 (base 9) in base 7? 1023361 -444345033 (base 6) to base 15 -a91780 Convert -13008 (base 15) to base 3. -10002100022 Convert -3345445 (base 6) to base 15. -35458 Convert -20465411 (base 8) to base 9. -8163788 Convert -1210533 (base 8) to base 14. -89071 -c116a (base 13) to base 4 -1110101202 -100208 (base 9) to base 7 -334436 Convert -100111101010110110 (base 2) to base 16. -27ab6 What is 343530 (base 11) in base 9? 1022403 7320827 (base 9) to base 12 13873b1 What is 1001000110100110110 (base 2) in base 4? 1020310312 What is 6b592 (base 13) in base 15? 3d34c Convert -39b765 (base 14) to base 2. -111100110000011001101 -24b09 (base 12) to base 5 -3044402 Convert -1273352 (base 12) to base 8. -15672456 Convert -15000633 (base 7) to base 9. -2582036 What is -371673 (base 12) in base 10? -894327 -49a956 (base 11) to base 15 -109308 Convert -111111110000110 (base 2) to base 11. -22589 18186018 (base 9) to base 14 13029bb 9b212 (base 14) to base 11 237824 Convert 2a791 (base 11) to base 15. cd79 Convert 2032137 (base 9) to base 15. 16635d What is -10001200101110 (base 3) in base 9? -3050343 What is -49499 (base 16) in base 11? -195596 Convert 112043112 (base 5) to base 13. 147ba2 Convert -2070e4 (base 16) to base 15. -2bee1c What is -b12945 (base 12) in base 6? -135114125 Convert -3211020 (base 5) to base 7. -313046 What is -4660323 (base 11) in base 14? -111ca88 Convert -b1ab31 (base 14) to base 12. -2007047 What is 2114432 (base 5) in base 3? 1210212011 4541b (base 15) to base 14 5a3db Convert 1002200200 (base 3) to base 6. 244113 What is 32124314 (base 5) in base 14? 70876 -341431022 (base 5) to base 9 -2757461 What is -7050367 (base 8) in base 13? -4cc88b 67c229 (base 13) to base 3 11121200211112 What is -8d9aa2 (base 14) in base 9? -10068771 Convert 6b5b5a (base 13) to base 5. 1123223343 What is 334eea (base 16) in base 14? 6375b4 Convert -18821 (base 16) to base 7. -565445 Convert 28454 (base 13) to base 11. 51755 What is 1010010010001000111010 (base 2) in base 8? 12221072 767655 (base 8) to base 4 332332231 -11100011011110010111010 (base 2) to base 7 -120233302 Convert -177528 (base 9) to base 15. -22b25 Convert -183101 (base 12) to base 11. -267653 Convert -28c83 (base 15) to base 9. -218716 -101042 (base 8) to base 7 -166061 127475 (base 11) to base 7 1462502 -2023031402 (base 5) to base 8 -17536165 What is -1003320300 (base 4) in base 6? -5543200 -7a4181 (base 11) to base 16 -138545 Convert -10010010001001110100101 (base 2) to base 11. -278118a -16aa8a4 (base 14) to base 10 -11169792 Convert 3240441 (base 6) to base 7. 1240006 -17af85 (base 16) to base 8 -5727605 -101110000111101101 (base 2) to base 9 -317118 Convert 784053 (base 9) to base 15. 93d80 3561351 (base 7) to base 6 13404110 Convert 5e28c4 (base 15) to base 14. 857263 What is 16396 (base 10) in base 3? 211111021 -162201 (base 8) to base 3 -2222020120 What is 1f7e8 (base 16) in base 2? 11111011111101000 Convert e01a (base 15) to base 16. b8ab -1100061 (base 11) to base 10 -1932679 What is 25398 (base 10) in base 9? 37750 -2138047 (base 9) to base 13 -3123b5 Convert -a16da (base 14) to base 10. -388272 -10101010010110000101110 (base 2) to base 12 -1a522ba What is -11031020231 (base 4) in base 14? -2773c1 834704 (base 9) to base 6 14342134 What is -22203110101 (base 4) in base 3? -12012112101001 Convert 2264701 (base 11) to base 9. 7404047 What is -10202102 (base 4) in base 3? -221111002 What is 3d7099 (base 14) in base 3? 11000022212020 Convert -10111201020001 (base 3) to base 2. -111000111001000011000 What is -136664 (base 8) in base 14? -139ac Convert -402165 (base 8) to base 12. -64619 1212200110001 (base 3) to base 8 3634335 11010112220 (base 3) to base 5 10100241 What is -1c4c5 (base 14) in base 8? -215155 Convert -6b307 (base 12) to base 15. -2c95d -8095a6 (base 12) to base 2 -111101010000000001110 What is -54106 (base 8) in base 3? -1010222222 What is -16958 (base 11) in base 9? -35551 What is -100011001001011110 (base 2) in base 16? -2325e What is 6586155 (base 9) in base 5? 1401302014 What is 181332 (base 9) in base 6? 2225002 12413411 (base 5) to base 6 2345205 Convert -11521110 (base 8) to base 12. -a21288 -310214204 (base 5) to base 7 -13454655 What is -1479132 (base 10) in base 16? -1691dc What is -111001110111100000 (base 2) in base 8? -716740 What is 1443c9 (base 14) in base 3? 1022201122112 -333101103 (base 4) to base 15 -51bc0 Convert 130bc0 (base 13) to base 10. 458991 What is -124412011 (base 5) in base 15? -c47c1 Convert -3705 (base 10) to base 4. -321321 What is 53a427 (base 13) in base 7? 22462234 What is -111001101001110001011 (base 2) in base 11? -10803a1 -802051 (base 14) to base 5 -2100330101 Convert 1187746 (base 10) to base 11. 74140a What is -21012010022200 (base 3) in base 5? -1434232143 What is 7168721 (base 9) in base 2? 1110100101110100011000 -147177 (base 8) to base 5 -3142423 3013422 (base 6) to base 9 235785 -10110010011011 (base 3) to base 10 -1832818 1c1700 (base 14) to base 15 14c272 Convert 513865 (base 11) to base 5. 202344203 What is 1010000101101010000 (base 2) in base 10? 330576 -11023c (base 15) to base 7 -6613665 What is 8b31 (base 12) in base 6? 155301 What is 24bd2 (base 15) in base 8? 345256 Convert 1424004 (base 7) to base 5. 22103210 What is b734a8 (base 12) in base 13? 7a17b8 Convert 353102 (base 7) to base 16. f812 -72ca5 (base 15) to base 7 -3044111 6a677 (base 14) to base 9 434518 Convert -1151209 (base 10) to base 13. -313cb7 Convert 2233300001 (base 4) to base 6. 23232425 What is -a2405 (base 16) in base 15? -d1da6 What is 35b48 (base 15) in base 4? 221310131 8b62c3 (base 13) to base 6 154405230 What is 1777177 (base 9) in base 13? 28b439 Convert 13335732 (base 8) to base 13. 80c2c8 What is -817b9b (base 12) in base 9? -3726032 Convert 11100111000010000 (base 2) to base 13. 41ac1 -47768 (base 14) to base 13 -61476 21313112 (base 5) to base 11 114a51 Convert 3344250 (base 6) to base 11. 106342 What is 111012011121 (base 3) in base 14? 6a8a4 484cb (base 14) to base 9 288188 Convert -733850 (base 9) to base 8. -1523302 What is 14cd5d (base 15) in base 14? 1c2576 2eceb (base 16) to base 9 321885 Convert -190a1a (base 14) to base 6. -30551440 -5d3c4 (base 14) to base 5 -24303022 Convert -438966 (base 11) to base 6. -23000240 What is 1654485 (base 11) in base 5? 1210120343 What is 64422221 (base 7) in base 5? 2401002213 What is 50056516 (base 7) in base 15? 569491 1724a (base 12) to base 5 2030203 What is -2315420 (base 6) in base 2? -11101000110000100 dc683 (base 16) to base 10 902787 What is -324240141 (base 5) in base 15? -1c999b 20431140 (base 6) to base 15 bb510 946904 (base 14) to base 16 4c7b58 What is -3142061 (base 7) in base 5? -44130322 Convert 2102221120 (base 4) to base 11. 380319 What is -c12dbe (base 16) in base 6? -1131203502 Convert -1e825 (base 15) to base 16. -1857e 1668756 (base 10) to base 4 12113122110 What is -22621044 (base 7) in base 10? -1988403 Convert 15b82b5 (base 13) to base 5. 3243444012 Convert -247042 (base 8) to base 13. -2cc1b What is 330242013 (base 5) in base 11? 887339 What is -1b1127 (base 12) in base 7? -4033003 c53a (base 16) to base 5 3103430 Convert 853497 (base 11) to base 3. 2120102001212 -50110554 (base 6) to base 8 -5277706 Convert 3322110300 (base 4) to base 11. 640387 Convert -2021330131 (base 4) to base 8. -2117435 a28c (base 16) to base 6 520352 What is -5227f3 (base 16) in base 5? -2334243204 Convert 986bc6 (base 14) to base 16. 4ed5ca 11506264 (base 7) to base 8 3726545 7d7993 (base 15) to base 6 332331350 -17758ab (base 14) to base 6 -1052100515 What is 5185b (base 12) in base 7? 622610 -41212020 (base 6) to base 8 -4407714 Convert -2021221 (base 5) to base 8. -77656 Convert -43385b (base 12) to base 14. -1d9a3d Convert 2020103 (base 10) to base 4. 13231030013 What is -2a6146a (base 11) in base 13? -11177b1 Convert 22110110112021 (base 3) to base 5. 2122344412 45165a (base 11) to base 4 2233222223 What is 16da15 (base 16) in base 6? 52033233 What is 277177 (base 14) in base 16? 14d065 -120011100021201 (base 3) to base 10 -8057116 What is -12507145 (base 9) in base 7? -103146206 -208419 (b
{ "pile_set_name": "DM Mathematics" }
p + 9. Determine g(8). 25 Let j(u) = -u**2 - 3*u + 244. What is j(-17)? 6 Let d(a) = -a**3 + 6*a**2 - 12*a + 7. Determine d(6). -65 Let a(h) = h**3 + 11*h**2 + h - 13. Determine a(-11). -24 Let v(a) = 5*a**2 + 70*a. Calculate v(-14). 0 Let d(t) = 19*t**3 + 3*t**2 - 2*t - 2. Give d(2). 158 Let v(m) = m**3 + 5*m**2 + 3*m - 2. What is v(-4)? 2 Let n(d) = 3*d - 13. Determine n(6). 5 Let a(o) = -o**2 - 19*o - 42. Calculate a(-17). -8 Let t(w) = w + 10. What is t(-5)? 5 Let q(h) = -6*h + 208. Calculate q(33). 10 Let w(d) = d**3 - 17*d**2 - 19*d + 22. Give w(18). 4 Let m(j) = j**2 + 7*j - 6. What is m(-9)? 12 Let w(k) = 5*k**2 - 4*k + 2. Calculate w(1). 3 Let j(s) = -s**2 - 13*s - 13. Calculate j(-4). 23 Let p(h) = -3*h + 11. Determine p(9). -16 Let k(w) = -w**3 - 4*w**2 + 12*w + 11. Calculate k(-6). 11 Let r(a) = a**2 - 8*a - 5. What is r(8)? -5 Let r(c) = -6*c - 4. What is r(5)? -34 Let l(m) = -m**2 + 16*m + 133. Give l(22). 1 Let w(p) = -p**3 + 14*p**2 - 24*p + 8. Determine w(12). 8 Let p(v) = v**2 - 9*v - 1. Determine p(9). -1 Let q(b) = 2*b**3 - 6*b**2 + 8*b - 4. Give q(4). 60 Let h(s) = s**3 - 3*s**2 + 6*s - 4. Determine h(4). 36 Let g(i) = i**3 + 26*i**2 - 55*i + 21. What is g(-28)? -7 Let s(l) = l**2 + 3*l + 4. Determine s(-3). 4 Let o(m) = m**2 - 23*m - 1. Determine o(12). -133 Let u(n) = n - 38. What is u(11)? -27 Let r(m) = m**2 - 5*m - 7. What is r(5)? -7 Let x(d) = -d**3 + 10*d**2 + 11*d + 2. Calculate x(11). 2 Let v(z) = 2*z**3 - z**2 - 2*z + 1. What is v(0)? 1 Let s(u) = 38*u - 180. Calculate s(5). 10 Let y(v) = v**3 - 9*v**2 - 12*v + 22. Determine y(10). 2 Let x(i) = -i - 28. Determine x(-24). -4 Let a(b) = -3*b - 4. Give a(-7). 17 Let q(d) = 17*d + 328. Give q(-19). 5 Let m(s) = s**3 - 20*s**2 - 8. Give m(20). -8 Let n(h) = -25*h - 25. Determine n(-1). 0 Let p(f) = 5*f + 2. What is p(0)? 2 Let p(n) = -2*n**2 + 8*n - 8. What is p(4)? -8 Let x(q) = q**3 + 16*q**2 - 17*q + 34. Give x(-17). 34 Let g(y) = 3*y**2 + 3*y + 1. What is g(-2)? 7 Let k(w) = -w**2 + w - 31. Determine k(0). -31 Let m(d) = -11*d - 248. What is m(-22)? -6 Let x(f) = f**3 + 11*f**2 + 18*f. Calculate x(-9). 0 Let x(p) = p - 7. What is x(-3)? -10 Let x(w) = -w**2 + 201*w - 2439. Calculate x(13). 5 Let f(h) = -100*h + 696. Determine f(7). -4 Let f(i) = 8*i + 6. Give f(-3). -18 Let o(r) = -2*r**2 + r + 1. Determine o(2). -5 Let a(y) = 16*y + 346. Give a(-22). -6 Let m(t) = t**3 - 7*t**2 + 2*t - 7. Calculate m(7). 7 Let r(u) = u**2 - 25*u + 42. What is r(17)? -94 Let x(p) = 6*p + 15. Give x(-10). -45 Let k(i) = 44*i - 9. Determine k(1). 35 Let t(z) = 2*z**2 - 52*z + 81. Calculate t(24). -15 Let j(k) = -k**3 - 10*k**2 - 8*k + 10. What is j(-9)? 1 Let q(c) = -c**3 + 10*c**2 - 4*c - 19. Give q(9). 26 Let h(u) = -u**3 - 8*u**2 + 7*u - 7. Give h(-8). -63 Let s(a) = -7*a + 114. What is s(14)? 16 Let c(k) = 6*k - 15. Calculate c(3). 3 Let k(u) = u**2 + 22*u + 95. Calculate k(-15). -10 Let m(o) = o**3 + o**2 - 4*o - 3. Give m(-3). -9 Let b(p) = 2*p + 3. Calculate b(-3). -3 Let t(x) = -x**3 + 7*x**2 + 3*x - 4. Determine t(7). 17 Let u(k) = -k - 10. Give u(-6). -4 Let o(p) = -19*p - 12. Calculate o(6). -126 Let p(h) = h + 17. Give p(-14). 3 Let t(f) = -8*f**2 - 2*f + 3. Determine t(-5). -187 Let k(f) = 5*f + 8. Determine k(5). 33 Let p(k) = k**3 + 4*k**2 - 7*k + 3. Give p(-6). -27 Let v(t) = 2*t**3 - 12*t**2 - 8*t + 32. Determine v(6). -16 Let q(y) = y**3 - 3*y**2 - 7*y + 5. Give q(5). 20 Let j(u) = -u**3 + 8*u**2 - 11*u + 20. Give j(7). -8 Let r(t) = 2*t + 10. Calculate r(0). 10 Let o(i) = 2*i**3 - 31*i**2 + 14*i - 4. Give o(15). -19 Let d(k) = -3*k**2 - 4*k + 29. Determine d(-4). -3 Let y(u) = -u**3 - 23*u**2 - 20*u + 22. Determine y(-22). -22 Let k(j) = -j**2 - 11*j - 2. Determine k(-9). 16 Let q(d) = -d**3 - 6*d**2 + 5*d + 15. What is q(-5)? -35 Let u(d) = d - 2. Determine u(-4). -6 Let l(h) = -h - 5. What is l(-5)? 0 Let y(g) = 3*g**2 + 34*g - 14. Determine y(-13). 51 Let y(t) = t**3 - 7*t**2 - 10*t + 14. Calculate y(8). -2 Let o(k) = -k**3 - 12*k**2 - 7*k + 36. Calculate o(-11). -8 Let y(v) = v**3 + 4*v**2 + 5*v + 1. Determine y(-4). -19 Let s(q) = 2*q**2 + 3*q. Give s(-2). 2 Let s(v) = -4*v**3 + v**2 - 2*v + 2. Calculate s(2). -30 Let h(b) = b**2 - 6*b - 9. Determine h(8). 7 Let f(d) = -d**3 + 7*d**2 - 9*d + 13. Determine f(6). -5 Let p(u) = -6*u**2 + u. Calculate p(-1). -7 Let d(s) = -s**3 + 19*s**2 - 20*s + 20. What is d(18)? -16 Let q(a) = 4*a + 3. What is q(-2)? -5 Let l(r) = r**2 - 12*r + 19. Calculate l(7). -16 Let c(f) = 3*f**2 + 12*f - 30. Determine c(-6). 6 Let r(u) = u**2 + 12*u + 25. Calculate r(-3). -2 Let f(w) = w**2 + w + 4. Calculate f(3). 16 Let y(v) = v**3 - 7*v**2 + v + 22. Determine y(6). -8 Let a(t) = -t**2 + 29*t + 210. Determine a(35). 0 Let j(k) = 29*k + 320. What is j(-11)? 1 Let s(q) = -q**2 + q + 4. What is s(-9)? -86 Let o(m) = -2*m - 38. What is o(-7)? -24 Let n(l) = 2*l - 3. What is n(-8)? -19 Let t(i) = i**3 + 2*i**2 - i - 4. Calculate t(-2). -2 Let g(u) = u**2 + 5*u - 15. Give g(3). 9 Let g(s) = 3*s**3 + s. Determine g(1). 4 Let q(p) = 4*p - 12. Calculate q(-4). -28 Let d(a) = -7*a**2 + 69*a + 3. Give d(10). -7 Let s(n) = -3*n + 5. What is s(-11)? 38 Let o(m) = -6*m**2 - 4*m + 3. Give o(2). -29 Let o(z) = -2*z**2 + 3*z + 33. Determine o(-4). -11 Let f(t) = t + 5. Determine f(-8). -3 Let g(a) = a**2 - 12*a - 38. What is g(16)? 26 Let n(b) = 7*b - 160. Determine n(22). -6 Let m(y) = 2*y**3 - 4*y**2 - 11*y + 27. Give m(4). 47 Let d(u) = -u + 5. Calculate d(13). -8 Let j(g) = g**3 + 9*g**2 - 6*g + 8. What is j(-9)? 62 Let f(m) = -m**3 - 15*m**2 + 21*m + 7. Give f(-16). -73 Let x(s) = -s**2 + 4*s + 62. Determine x(10). 2 Let a(v) = -v**3 + 8*v**2 - 2*v + 18. Calculate a(8). 2 Let c(n) = -n**3 + 4*n**2 + 13*n + 7. Calculate c(6). 13 Let i(q) = q**3 + 17*q**2 + 27*q - 36. What is i(-15)? 9 Let o(f) = f + 1. Give o(-4). -3 Let m(j) = 2*j - 17. What is m(13)? 9 Let c(y) = -9*y**2 - 7*y + 5. Give c(2). -45 Let f(y) = 2*y + 51. Calculate f(-23). 5 Let z(a) = 2*a**2 - 7*a - 6. What is z(0)? -6 Let c(b) = -3*b**2 - 52*b + 30. Determine c(-18). -6 Let k(n) = -4*n + 107. Determine k(16). 43 Let x(i) = i**3 - 11*i**2 + 8*i + 14. What is x(10)? -6 Let g(r) = -4*r + 50. What is g(18)? -22 Let m(w) = -7*w - 220. Calculate m(-33). 11 Let d(o) = -o - 26. What is d(-15)? -11 Let k(y) = 9*y - 57. Calculate k(6). -3 Let y(q) = 49*q**3 + 2*q**2 + 3*q + 2. Give y(-1). -48 Let m(b) = -b**3 + 17*b**2 - 25*b + 107. What is m(16)? -37 Let s(q) = 3*q - 97. Give s(25). -22 Let l(o) = o**2 + o - 11. Give l(4). 9 Let o(t) = t**3 + t + 1. What is o(-1)? -1 Let i(g) = 6*g + 42. Determine i(-6). 6 Let f(w) = -w**2 - 8*w - 15. Give f(-6). -3 Let w(j) = -j + 29. Give w(14). 15 Let g(f) = 7*f - 64. Calculate g(9). -1 Let c(v) = -v**3 + v**2 - 3*v - 11. Give c(0). -11 Let k(f) = f**2 + 23*f + 8. Give k(-17). -94 Let j(s) = -s + 27. Give j(8). 19 Let u(p) = -p**3 - 6*p**2 - 7*p - 5. Give u(-2). -7 Let u(w) = w + 2. Give u(-8). -6 Let u(z) = -z**3 + 2*z**2 + 61. What is u(0)? 61 Let u(p) = p**3 + 5*p**2 + 2*p + 12. Determine u(-5). 2 Let b(u) = u**2 + 9*u + 2. Calculate b(-9). 2 Let k(t) = -t**3 - 9*t**2 - 2*t - 2. Determine k(-9). 16 Let p(r) = 2*r**2 + 37*r + 132. What is p(-14)? 6 Let d(s) = 46*s - 19. What is d(3)? 119 Let a(w) = -67*w - 129. What is a(-2)? 5 Let z(l) = -l**3 - 4*l**2 + 11*l - 12. Calculate z(-6). -6 Let w(x) = 3*x - 8. Give w(6). 10 Let l(f) = 19*f**3 - f. Calculate l(1). 18 Let y(b) = 2*b**2 + b. What is y(-1)? 1 Let a(t) = 15*t**3 + t**2 - 2*t - 1. Calculate a(-2). -113 Let k(t) = 2*t**2 + 5*t + 3. Calculate k(-3). 6 Let o(r) = r**3 - r**2 - r - 1. Determine o(2). 1 Let x(o) = o**2 - 4*o - 2. Calculate x(3). -5 Let c(w) = -w**2 - 26*w + 189. What is c(6)? -3 Let n(v) = v**3 + 9*v**2 - 5. Determine n(-9). -5 Let p(t) = -5*t - 83. Determine p(-14). -13 Let w(c) = -2*c**3 - c**2 - 7*c - 6. What is w(-1)? 2 Let y(f) = f**3 - 4*f + 6. What is y(2)? 6 Let b(y) = 2*y**2 - 8*y + 4. Determine b(4). 4 Let j(t) = 2*t**2 - 2*t + 1. Determine j(-3). 25 Let j(l) = 5*l - 6. Give j(4). 14 Let d(x) = x**3 + 11*x**2 + 8*x - 16. Give d(-9). 74 Let w(v) = v**3 - 37*v**2 + 130*v + 52. Give w(33). -14 Let g(v) = -v**2 - 3*v + 15. What is g(-5)? 5 Let f(w) = w**2 + 10*w + 15. Dete
{ "pile_set_name": "DM Mathematics" }
Let r(o) = -4*o**2 + 3180*o. Let m(j) = -834*j**2. Determine r(m(h)). -2782224*h**4 - 2652120*h**2 Let w(l) = 613*l**2 - l - 29. Let t(r) = 296*r**2 - 14. Let o(x) = -29*t(x) + 14*w(x). Let c(a) be the third derivative of -a**4/12 + a**2. Give c(o(n)). 4*n**2 + 28*n Let c(j) be the third derivative of -j**4/12 - j**2. Let g(z) be the third derivative of -z**5/10 + 11*z**3/3 + 5145*z**2. Determine g(c(p)). -24*p**2 + 22 Let w(o) = -16*o. Let h(j) be the first derivative of -529*j**2/2 + 3141. What is w(h(y))? 8464*y Let x(o) = 2*o**2. Let i(g) = g**2 + 5*g - 4. Let k be i(-6). Let s = 2031 - 2029. Let m(a) = a - 7*a - k + s. Calculate x(m(h)). 72*h**2 Let g(j) = -7*j. Let s(q) = 2*q**2 - 19566*q. Determine g(s(n)). -14*n**2 + 136962*n Let k(l) = -3*l**2 - 870 + 870. Let a(u) = 3*u**2 - 5*u - 17. Let d be a(11). Let c(t) = -585*t + 296*t + d*t. What is c(k(i))? -6*i**2 Let k(l) = -175*l + 372*l - 197*l + l**2. Let c(w) be the second derivative of -29*w**3/2 + 4*w. Determine k(c(a)). 7569*a**2 Let p(c) = 2*c**2. Let b(k) = -15697183*k + 1. Determine b(p(w)). -31394366*w**2 + 1 Let c(u) = u**2. Suppose 0 = 6*i - 17*i + 176. Let o(s) = -32*s - s + 2 + i*s. Determine c(o(k)). 289*k**2 - 68*k + 4 Let u(b) = 37*b - 13. Let h be u(4). Suppose -4*f - h = -s, s - 140 = -0*s + 5*f. Let m(p) = 115 - s - 3*p. Let a(j) = -6*j. Give a(m(l)). 18*l Let z(j) = -4*j**2. Let a(i) = -8013 + 8013 + 466*i. Determine a(z(f)). -1864*f**2 Let r(a) be the first derivative of -a**4/6 - 27*a - 164. Let i(b) be the first derivative of r(b). Let j(v) = 16*v - 10. Calculate j(i(t)). -32*t**2 - 10 Let o(f) = 103*f**2 + 109*f**2 - 176*f**2. Let c(i) = 3*i**2 + 7. Determine c(o(t)). 3888*t**4 + 7 Let y(z) = z**2 + 31. Let r(k) = -44*k + 16. Let b(n) = -8*n + 4. Let w(h) = 4*b(h) - r(h). Give y(w(s)). 144*s**2 + 31 Let k(g) = 3 - g**2 - 3. Suppose 139*n = 146*n + 42. Let b(s) = 2*s + 1. Let r(w) = -23*w - 11. Let z(x) = n*r(x) - 66*b(x). Give k(z(y)). -36*y**2 Let m(f) = 8*f**2 + 10. Let x(u) = 88*u**2 - 18*u - 1. What is x(m(d))? 5632*d**4 + 13936*d**2 + 8619 Let m(v) = -214*v. Let z(t) = 33*t + 138. Let c(o) = 2*o + 8. Let u(f) = -69*c(f) + 4*z(f). What is m(u(k))? 1284*k Let p(c) = -c. Let x(b) = 56415214*b - 1. Determine x(p(u)). -56415214*u - 1 Let b(l) be the first derivative of l**2/2 + 1336. Let o(q) = 15*q**2 + 65*q + 2. Determine o(b(d)). 15*d**2 + 65*d + 2 Let p(v) = 8*v. Let h(s) be the second derivative of 0*s**2 - 7*s + 6 - 1/6*s**3. Determine p(h(l)). -8*l Suppose -5*c + 29 = 4*f, 5*f + c - 41 = f. Suppose p = 18 - f. Let v(n) = -14*n + p*n + 5*n. Let s(w) = -w. Give v(s(i)). 2*i Let f(g) be the third derivative of -7*g**4/24 - 914*g**2. Let p(l) = -3*l + 16. Give f(p(z)). 21*z - 112 Let q(z) = 271*z + 2. Let l(p) = -2706*p - 21. Let r(f) = 2*l(f) + 21*q(f). Let v(y) = -8*y**2. What is v(r(u))? -622728*u**2 Let v(y) = -1582*y. Let i(b) = -125*b + 118. What is v(i(n))? 197750*n - 186676 Let j(f) = -695693*f. Let v(h) = -215*h**2. Determine v(j(q)). -104057581303535*q**2 Let j(h) = -24020*h. Let u(i) = 36*i + 30. Let o(w) = 58*w + 48. Let b(v) = -5*o(v) + 8*u(v). Give b(j(f)). 48040*f Let l(o) = -4*o. Let d(k) = -k - 10 + 2 + 13. Let q be d(3). Let y(w) = 13*w**2 - 12*w**q - 9*w**2. What is y(l(x))? -128*x**2 Let q(r) be the second derivative of 109*r + 0*r**3 + 0 + 0*r**2 + 5/2*r**4. Let i(m) = -3*m. Calculate i(q(s)). -90*s**2 Let f(v) = 4*v**2. Suppose -6*i + 5*p = -4*i - 9, -4*p + 2 = 3*i. Let s(g) = 19*g**2 - g**2 + 4*g**i + 5*g**2 - 3*g**2. Determine f(s(o)). 2304*o**4 Let y(m) be the first derivative of 29*m**6/360 + 10*m**3 + 26. Let s(b) be the third derivative of y(b). Let r(g) = -7*g + 10*g - g. Calculate r(s(a)). 58*a**2 Let f(p) = -5*p**2 - 2*p - 4. Let x(h) = h + 2. Let z(o) = f(o) + 2*x(o). Let m(t) = -33*t**2 + 2. What is z(m(s))? -5445*s**4 + 660*s**2 - 20 Let j(i) = -3*i**2 - 2*i**2 + 6*i**2. Let o(x) = 44507 - 133530 + 44508 + 44514 - 5*x. Determine o(j(h)). -5*h**2 - 1 Let f(b) = 1840577*b + 2. Let v(i) = -2*i. What is f(v(x))? -3681154*x + 2 Let h(x) = 101*x + 11. Let k(f) = -1194*f - 132. Let c(o) = 12*h(o) + k(o). Let r(p) = -p**2 + p**2 + 2*p**2. Calculate r(c(t)). 648*t**2 Let t(y) = 12*y. Let a(q) = -175 + 353 + 13*q - 178. Give a(t(b)). 156*b Let d(c) = -4520665*c. Let j(m) = m**2. Calculate d(j(q)). -4520665*q**2 Let c(s) = 348508*s**2. Let b(d) = -12*d. What is c(b(a))? 50185152*a**2 Let t(o) = 7*o**2 + 318*o. Let d(b) = 20*b**2 + 901*b. Let k(g) = -6*d(g) + 17*t(g). Let f(m) = -661*m. What is f(k(s))? 661*s**2 Let d(q) = -q + 8*q**2 + q. Let g(b) = 139 + 2*b - 139 + 3*b - 8*b**2. Let f(c) = c**2 - c. Let n(y) = 5*f(y) + g(y). Determine d(n(v)). 72*v**4 Let g(r) = -32 + 178*r - 98*r - 93*r. Let z(j) = 4*j + 12. Let o(v) = 3*g(v) + 8*z(v). Let n(i) = 2*i. Calculate o(n(h)). -14*h Let c(s) = 1277*s**2. Let u(p) = 2*p - 21. Let g(l) = -5*l + 49. Let f(k) = 3*g(k) + 7*u(k). Calculate c(f(b)). 1277*b**2 Let f(m) = 10*m**2. Let l(c) = c + 26665310. Determine l(f(s)). 10*s**2 + 26665310 Let p(g) = 11*g**2 - 9427227*g + 9427227*g + 0*g**2. Let d(i) = 156*i**2. Give p(d(u)). 267696*u**4 Let q(y) = y. Suppose 4*a - 5*v = 22, 2*a - 6*v - 12 = -3*v. Suppose -6 = -a*p + 3. Let u(d) = 4 - p + 11*d**2 - 1. Determine q(u(c)). 11*c**2 Suppose -a = -0*q + q - 625, 2*q - 1871 = -3*a. Let b(i) = -6*i**2 + 314*i + 307*i - a*i. Let g(f) = -14*f**2. Determine g(b(o)). -504*o**4 Let w(a) = 6*a**2 + a - 90. Let z(y) = -27907*y. Give w(z(s)). 4672803894*s**2 - 27907*s - 90 Let x(i) = -2*i. Let w(d) = -48038612*d. Calculate w(x(a)). 96077224*a Suppose -280*f = -282*f + 66. Let c(w) = -f + 12 + 14 + 15 + 5*w. Let o(p) be the first derivative of -p**3/3 + 2. Calculate o(c(i)). -25*i**2 - 80*i - 64 Let a(k) = -18*k. Let j(y) = 16*y**2 - y + 3859. Calculate a(j(x)). -288*x**2 + 18*x - 69462 Let m(v) = v**2 - 7. Let z(u) = 87*u + 45. Let k(g) = 12*g + 6. Let w(n) = -15*k(n) + 2*z(n). Give w(m(t)). -6*t**2 + 42 Let x(z) be the first derivative of z**2 - 241. Let q(j) = 4 + 4 + 3*j - 17. Determine x(q(k)). 6*k - 18 Let c(b) = -4*b. Let k(v) = 2*v. Let x(u) = -22*u. Let a = 393 - 437. Let d(i) = a*k(i) - 2*x(i). What is c(d(p))? 176*p Let x(q) = 3*q - 3*q + 34*q + 54*q - 77. Let d(z) = 7*z - 6. Let a(c) = -77*d(c) + 6*x(c). Let i(k) = k - k + 3*k. Determine a(i(w)). -33*w Let p(c) = 3*c + 4*c + 11*c. Let f(t) be the first derivative of -t**5/30 + 289*t**2/2 + 55. Let h(d) be the second derivative of f(d). Determine p(h(z)). -36*z**2 Let a(f) = f**2. Let w be (-10)/30 - (-4)/(-6). Let h be 10*w*(-1)/2. Let y(p) = -6*p + p + h*p + 7*p**2 - 3*p. What is a(y(c))? 49*c**4 - 42*c**3 + 9*c**2 Let t(v) be the second derivative of 1/3*v**3 + 7/6*v**4 + 0 - 180*v + 0*v**2. Let y(c) = 4*c. What is y(t(z))? 56*z**2 + 8*z Let b(y) = 63*y + 2. Let h(n) be the first derivative of -26*n**2 - 3066. Give b(h(g)). -3276*g + 2 Let j(c) = 4*c. Let f = -55 - -58. Let t(w) = -2*w + 9*w - 5*w - f*w. Calculate j(t(n)). -4*n Let v(f) = -56*f + 135*f - 40*f + f**2 - 39*f. Let l(i) = 1039*i. Calculate v(l(u)). 1079521*u**2 Let y(v) = 19532*v**2. Let u(x) = 5*x**2. Determine y(u(l)). 488300*l**4 Let b(k) be the first derivative of -1197*k**2 - 12078. Let c(i) = -6*i**2. Give c(b(z)). -34387416*z**2 Let i(t) = -586124*t**2. Let x(y) = -7*y. Give i(x(g)). -28720076*g**2 Let c(j) = 2*j**2. Let u(g) be the first derivative of 1286*g**3/3 + 4491. What is u(c(m))? 5144*m**4 Let l = 1/176 + 107/528. Let v(k) be the third derivative of -l*k**4 + 0*k**3 + 0 + 6*k**2 + 0*k. Let t(p) = -11*p**2. What is t(v(s))? -275*s**2 Let t(u) = -920*u. Let k(w) = 4*w**2 - 11*w + 6. What is k(t(y))? 3385600*y**2 + 10120*y + 6 Let q(i) be the third derivative of -i**6/36 - 31*i**3/3 + 66*i**2. Let o(n) be the first derivative of q(n). Let v(h) = -2*h**2. Determine o(v(a)). -40*a**4 Let o(t) = t**2. Let x(v) = 160*v - 160243. What is x(o(n))? 160*n**2 - 160243 Let f(g) = -g**2. Let c = -239/68 - -64/17. Let x(d) be the second derivative of 0 + 0*d**2 + 4*d + 0*d**3 + c*d**4. Determine f(x(z)). -9*z**4 Let r = -687 - -709. Let v(z) be the second derivative of 1/3*z**3 + r*z + 0 + 0*z**2. Let c(o) = -17*o. Determine c(v(w)). -34*w Let n(i) = 647 - 209 - 2*i**2 - 211 - 227. Let y(g) = 5*g - 389. Give y(n(q)). -10*q**2 - 389
{ "pile_set_name": "DM Mathematics" }
at is the value of (-18 - (-64 - -42)) + (-42)/11? 2/11 Calculate (-301 - -286) + -1 + 3. -13 What is the value of -3*(5/(-4))/(45 + (-47985)/1064)? -38 What is 2295/170*(-448)/(-432)? 14 What is ((-114)/10 + -1)/(36888/(-795) - -46)? 31 Evaluate (-4)/(28/63*54). -1/6 What is the value of 6*(10 + (-6)/(-6))/(10 - 7)? 22 Evaluate (-1785)/3185 + (-39)/169*4/6. -5/7 What is the value of (162/(-42))/(-1*(-12)/(-14))? 9/2 Calculate (150 + 10)/(-4)*(-12)/270. 16/9 Evaluate ((-2196)/(-2562))/(-1 - (-3)/(-21)). -3/4 What is (52/13)/(2 - (800/(-36))/(-10))? -18 (158/26 + (-11)/143)/(165/(-10)) -4/11 Evaluate ((-3)/27)/((4/(-24) - 0)*-2). -1/3 2*(55/(-165) + (-26)/12) -5 Calculate 10 - (630/9)/(-14). 15 Evaluate (-6)/(-33) + (-348)/(-22) + 282/94. 19 What is -13 - (42 + -28 + -32)? 5 Evaluate 4 - (-246*19/(-1482) + 4/(-26)). 1 What is the value of (52 - -49 - 108) + (-11 - 2 - -2)? -18 129/110 - (-7*48/(-840))/(-4) 14/11 Calculate (-4 - -1 - 0)*702/(-936). 9/4 Evaluate ((-3)/30)/(4/24). -3/5 Calculate (-16638)/12690 + (-18)/10. -28/9 Calculate 4*((-1276)/(-580) + 27/(-10)). -2 What is (1/182)/(13/(-7046)) + (0 - -3)? 2/91 What is (-17*36/(-918))/(4/(-9))? -3/2 What is ((-38)/(-8) - 5)*24? -6 Evaluate -2 + (858/(-44) - -26). 9/2 (84/18)/(28/(-126)) -21 Evaluate (42/15)/(6726/(-190) + 35). -7 What is the value of -1*((-36)/(-20) - (-5)/(-50)*-2)? -2 Calculate (3/2*(10/6 + 1))/6. 2/3 What is (-230)/138 - 1043/(-588)? 3/28 Calculate ((-2184)/192)/7*-8. 13 Evaluate 28/(-168) + 16/128. -1/24 What is the value of ((-5141)/(-97) - 58) + 1*7*1? 2 What is ((-2)/(-5))/((-6)/(-211)) + (-808)/12120? 14 Evaluate 4526/32704*-28 + 1/(1/4). 1/8 What is 17 + 4*(-52)/16? 4 What is the value of (-68)/6 - (-1254)/(-1881)? -12 3060/(-4620) - 36/(-63) -1/11 Calculate (-6 - 39/(-6))/(-1 - 22/(-20)). 5 What is the value of (-18)/(-28)*(889/63 + -13)? 5/7 Calculate (124/(-310))/(18/120). -8/3 Calculate 10 - ((-21)/12)/7 - 18/(-24). 11 What is the value of (26/(-416))/((2/(-1))/20)? 5/8 24/30*-5*11/(-22) + 13 15 What is the value of -11 + 3 - (6 + 2 + -8)? -8 Calculate (-11)/(-66)*44/(-77). -2/21 ((-16)/(-44))/2 - ((-24)/(-297))/(-2) 2/9 -16 - (21 - 430/15) -25/3 Calculate (-70)/(-25)*(-40)/196. -4/7 Calculate -3 + (-33)/(-11) + (-8)/1. -8 Evaluate (160/56)/(12/4 - (-57)/(-21)). 10 Calculate (((-70)/21)/(-10))/((-287)/(-36) + -8). -12 Evaluate 8/1 + (-105)/(-7) + -8. 15 What is 165/(-44)*30/(-1125)? 1/10 What is (5/9)/(-25*(-22)/(-1320))? -4/3 Calculate 12/(-9)*(19 - 22442/2044 - 8). -2/73 What is 5*(-31)/(271 + -23)? -5/8 What is (4/14)/(66/(-42))? -2/11 Calculate (9 - (-10 - -5))/((-7)/(-7)*1). 14 Evaluate -22 + -16 - (-82 + 6). 38 What is (-4830)/(-299) - (-8)/(-52)? 16 What is 4 + (-17 - (9 + -28))? 6 What is ((-6)/(-10))/(310/50 - 6)? 3 ((-6)/8)/(50*(-22)/(-26400)) -18 Evaluate (-33)/((-4092)/(-310))*(-5)/((-50)/(-36)). 9 What is the value of -6*((-360)/(-126))/(-20)? 6/7 Calculate ((16/3)/(-2))/(16 + 888/(-54)). 6 What is ((-872)/80 + 11)*-12*-10? 12 What is -10 - -5 - -9 - (259/56 - 0)? -5/8 What is the value of (124 + -125)*(24/(-2) - 2)? 14 What is (6/10)/(26 + -23)? 1/5 What is (2/11 + (-8667)/2354)*4? -14 What is the value of 389/110 - (-30)/(-825)? 7/2 What is (-24)/444 - 35967/(-2109)? 17 Calculate ((-3)/(1 + (-14)/8))/((-6)/(-1)). 2/3 Calculate 9/(-6)*(2 + ((-168)/20 - -6)). 3/5 Evaluate 8/26*287/(-1722). -2/39 What is (-110)/(-12) - -10*1/(-60)? 9 What is (308/(-693))/((-8)/(-3))? -1/6 What is 5 + 14 - (6/39 + (-82)/26)? 22 What is 15 + -4 + 196/(-21)? 5/3 What is the value of 5*(-23 + (-374)/(-17))? -5 What is (-1 - 4/(-6))*103/((-29870)/2262)? 13/5 What is the value of (3/6)/(11 - ((-1325)/(-60) - 11))? -6 153/15*(-2 - 44/(-12)) 17 Calculate (1/2)/(2/20)*66/(-110). -3 What is the value of (-5 + 1096/216)/(6 + 152/(-24))? -2/9 Evaluate -6 - (9/90)/(240/(-14250)). -1/16 Evaluate 5880/2156*(0 + (-4)/10). -12/11 Calculate (-10780)/10890 + ((-36)/(-22))/3. -4/9 Calculate 45/(-240)*24*(-4)/(-14). -9/7 (58/18 - (-50 + 56))*(-15)/25 5/3 What is the value of ((-364)/(-130))/((-3)/(360/(-28)))? 12 What is 898/(-31) + 153 + -124? 1/31 Evaluate 2 + 11 - -40*(-48)/128. -2 What is the value of 9744/9135*(-9)/(-12)? 4/5 Calculate -5*(202/(-90) - (-44)/99). 9 What is 3 + -23 - 21/(51/(-17))? -13 -42*(494/76)/(-13) 21 What is ((2/8)/((-55)/132))/((-21)/(-210))? -6 Evaluate 445 - 451 - (3 - 78/8). 3/4 -10 + (3 - 3) + (-4 - -17) 3 (-9)/(45/(-2))*7055/166 17 Calculate (-2)/(-6) + (-11)/((-1452)/55). 3/4 What is (-94)/(-4) - ((87 - 52) + -20)? 17/2 (3 + 1 - 6)/((-46)/(-391) + 0) -17 What is (432/(-126))/8 + 128/(-28)? -5 Evaluate (-1)/(-3) - (-24650)/(-2175). -11 Calculate 198/(-110)*(-5 + 0) - 0/6. 9 (-100)/150*(-3)/2 - (-2)/(-4) 1/2 What is (8/(-9))/4 - (-26)/39? 4/9 (-106)/18 - ((-330)/135)/(-22) -6 What is 3 - -9*(-10)/(-45)? 5 2/7*(-135)/270 -1/7 Calculate (-2 - 5) + 0/(-7)*(0 + -1). -7 Calculate (5/15)/(200/13800). 23 Evaluate 55/2*1580/(-1975). -22 Calculate 7/((-294)/744) - (-76)/(-266). -18 What is (-6)/(-4)*(-4)/(-3)*671/2013? 2/3 (-36)/(40/((-880)/99)) 8 Evaluate (-165)/(-483) + (-328)/(-1656) + 7/(-63). 3/7 What is the value of ((-1211)/(-49) + -24)/(12/(-14))? -5/6 (2432/112)/19 - (3 - 5)/(-2) 1/7 (-540)/360*2/(16/(-6))*8 9 What is 39/((-819)/(-30)) + 44/(-77)? 6/7 Evaluate (-3810)/635*14/(-4). 21 Evaluate -4*(-10 + 5 - -2)/2. 6 Evaluate 20/(-6)*50/((-3400)/306). 15 (-102)/16 - 201/(-536) -6 Calculate 296/(-28) + (-22 + 26 - -7). 3/7 What is the value of (-143)/286 - (2 + 90/(-4))? 20 What is ((-20)/8 - 358/(-140))/(1/(-15))? -6/7 What is ((-79)/27 - 1) + 7/(14/8)? 2/27 What is -5 - (180/9 - 28)? 3 Calculate 11/((-88)/188) - (-66)/12. -18 What is ((-1836)/(-120) - 7) + (2 + -6)*2? 3/10 What is -17 - 20 - -18 - -15? -4 Calculate 5/((-7)/7) - (-64)/14. -3/7 What is (-845)/35 + 8 - 10/(-70)? -16 (-4)/(26/(-195)*(4 - 2)) 15 Evaluate ((-42)/1)/3 + (-25 - -7) + 9. -23 What is the value of (8/(-3) - 195/(-117)) + -1 + -3? -5 7 - 396/55 - 510/(-2050) 2/41 Calculate (-2263)/(-1387) - (156/18 + -7). -2/57 What is the value of (-11)/(-693)*-21 + 3/(-9)? -2/3 What is (4186/10010 - 4/(-22))/(2/2)? 3/5 What is ((-591)/(-99) - 6)*(-12)/(-4)? -1/11 948/(-2054)*13/2 -3 ((-2750)/(-2475))/(5/21)*-3 -14 Evaluate 5/(-45) + 414/81. 5 Evaluate ((-2)/(-3))/((-24)/396). -11 What is the value of (-8398)/68*(-22)/143? 19 Evaluate (572/(-429))/((-1)/8) + (-4)/6. 10 What is ((-3)/(-68))/((-18)/(-156)) + (-2)/4? -2/17 (-224)/(-3572) + 34/799 2/19 Evaluate -4 + 36/8*(-264)/(-99). 8 What is (55/(-275))/(8/(-10))? 1/4 What is (36/15)/(97/(-485))? -12 0/(-756) + ((-68)/(-20) + -3)/4 1/10 What is 432 + -404 + 390/(-14)? 1/7 (2 + 117/(-54))/(-1) 1/6 12/(-4) + 8 + (0 - -14) + -7 12 (-895)/(-51) + (-12)/18 + -17 -2/17 Calculate (-5 - 2)*42/49 + (-35)/7. -11 Evaluate (-2 + (-64)/(-14))*(-140)/100*1. -18/5 What is 71/2059*(124/279 + (-14)/(-9))? 2/29 What is the value of 6 + (-330)/11*(-6)/(-15)? -6 Evaluate (-17 + 1125/63)*(-1 + (-34)/(-6)). 4 ((12/(-21))/(9*(-15)/(-945)))/18 -2/9 Evaluate (-30)/2*-9*(-11 + (-196)/(-18)). -15 Calculate (-11)/(9 + -53)*-1*92. -23 Calculate (-73)/(-291270)*76*-2*7/(-8). 1/30 Calculate 72*(-58)/2871*44/(-8). 8 Evaluate (-40)/38 - (143/(-209))/13. -1 ((-60)/(-5) + -10)*-2 -4 Calculate (21258/(-1638) - -13)/(2/7). 1/13 Evaluate (7/(-35))/(25/(-125)). 1 (-3 + 0 + 3)/((-16)/(-16)) + 10 10 What is (2/2*1)/((-7783)/(-430) - 18)? 10 What is the value of (-2)/((-31)/(1736/(-96))*-14)? 1/12 (130/10 - (-296)/(-24)) + (-80)/12 -6 What is the value of ((-4082)/(-195) + -21)*(-11 + 1)? 2/3 What is (-2)/(-4)*(10 + 0)/((-35)/(-224))? 32 What is (-172)/(-30) + -6 + (-3)/(-36)*-4? -3/5 (4/22 + 23/(-138))*3 1/22 Calculate 92/115 - 202*(-3)/(-795). 2/53 Calculate -60*-13*(-36)/(-3510). 8 Calculate 14/(-10)*3/35*10. -6/5 What is (1 - 6 - ((-770)/42 - -13))*-6? -2 3/2*12/(-126) -1/7 What is 1/7 - (-144)/(-126)? -1 What is the value of ((-235)/(-60))/(-47)*9? -3/4 Calculate 15 + 1 - 17*48/(-272). 19 What is the value of 156/(-7) - 109/(6867/(-18))? -22 (-1)/(-27 + 21 + 0 + 55/9) -9 What is 72/(-135)*(6 + -36)? 16 What is the value of (-52)/24*(-455)/(-845)? -7/6 Evaluate (-35*3/20)/((-9)/2). 7/6 Calculate 1140/72 - 1472/92. -1/6 What is (-4)/18 - ((-646)/153 - 3)? 7 Calculate 2/(-2)*360/1170. -4
{ "pile_set_name": "DM Mathematics" }
= -j*l. What is the units digit of 6/(-4)*l/(-18)? 1 What is the units digit of (-1635954)/(-50) - (33 + (-15637)/475)? 9 Let y = 23979 - 16056. What is the tens digit of y? 2 Let s = 27 - 25. Let v be (1 - 3)*(s - 15/10). What is the units digit of 17 - (v + 9/3)? 5 Suppose 3*z - 5*q - 72780 = 0, z + 21*q = 22*q + 24262. What is the hundreds digit of z? 2 Let q(k) = k**2 + 12*k + 15. Let z be 111/(-3) + (-6)/((-2)/1). What is the hundreds digit of q(z)? 7 Let j = -1918 - -354. Let w = 3093 + j. What is the hundreds digit of w? 5 Let s(t) = 7*t**2 + 13*t + 20. Let x be s(-9). Suppose 20*k - 250 = x. What is the tens digit of k? 3 Suppose -2*t - 4*j = -3*t + 91, -t + 89 = -2*j. Let m = 403 - 213. Let s = m - t. What is the hundreds digit of s? 1 Let f = 7362 + -4976. Suppose -h + f = 2153. What is the hundreds digit of h? 2 Let v = -131 - -131. Suppose -2429 = -5*n - 304. Suppose 0 = 3*x, 5*g + 3*x = -v*x + n. What is the units digit of g? 5 Let g be ((-42)/(-4))/7 + 3/2. Let u be (g - (-2 - -4))*(1 - -2). Suppose -m - u*m = -152. What is the tens digit of m? 3 Let m(j) = -j**3 + 15*j**2 + 3*j - 17. Let k(y) = -2*y**3 + 3*y**2 - 3*y + 3. Let s be k(2). Let w(o) = -o + 8. Let f be w(s). What is the tens digit of m(f)? 2 Suppose -23*w + 347496 = -21*w + 22*w. What is the thousands digit of w? 4 Suppose 0 = 87*u - 96*u + 6622 + 12332. What is the hundreds digit of u? 1 Suppose -1430 - 418 = -6*x. Let n = x - -1. What is the tens digit of n? 0 Let v(n) = 12*n**2 + 29*n - 40. What is the tens digit of v(7)? 5 Let o = 138 + -139. Let n be -16 + 17 + 1 + (0 - o). Suppose -5*f - n*f = -672. What is the units digit of f? 4 Suppose -6*u - 39 = 507. Let z = 233 - u. Suppose 2*k - z + 74 = 0. What is the tens digit of k? 2 Let v(g) = 11*g - 2. Let j be v(7). Suppose 0*m + m = 5*c - j, 61 = 4*c - m. What is the units digit of 1*4 + (c - -84)? 2 What is the tens digit of 5/((-325)/(-1747715)) + (-11)/(-143)? 8 Suppose -11*r - 22*r + 41613 = 0. Suppose 0 = s - 1, -3*s + r + 333 = g. What is the hundreds digit of g? 5 Suppose 53*o = -25*o + 53*o + 1513250. What is the thousands digit of o? 0 What is the hundreds digit of (-155 - -161)/((-14539)/(-7268) - 2)? 5 Suppose 11*s = 15*s + 5*p - 12734, -3*s = -4*p - 9566. What is the units digit of s? 6 Suppose -3*o = 2*d - d - 17, 4*d - 4*o = -12. Suppose -d*b - 250 = -3*b. What is the hundreds digit of (7 - (-2 + 6)) + b/2? 1 Suppose -2*y - 9049 = 2*m - 49857, 2*m - 102038 = -5*y. What is the units digit of y? 0 Suppose 0*v + 4*v - 8 = 0, 5*v + 5 = 5*m. Suppose -4*u + 2*r + 1828 - 118 = 0, m*r = -4*u + 1735. What is the tens digit of u? 3 Let m be (1 - 0)*196*210/56. Suppose 1291 + m = 2*q. What is the tens digit of q? 1 Suppose 0 = 8*m - r - 15649 - 19852, -4*m + 17764 = 4*r. What is the tens digit of m? 3 Suppose -o = -2, -3*n + 1160 = -0*n + 4*o. Let z = 626 - n. Let y = z - 101. What is the hundreds digit of y? 1 Suppose 3*j = -3*j - 2*j. Suppose -6*p = -2*p - j*p. Suppose -m - 5 = p, -3*m + 0*m = -5*s + 420. What is the tens digit of s? 8 Let w = 25369 + -16666. What is the units digit of w? 3 Let a = -109 - -73. Let y = 81 - a. Suppose 4*j - y - 215 = 0. What is the tens digit of j? 8 Let g = -12272 + 17595. What is the hundreds digit of g? 3 Let b = -745 + 377. Let y be (-18)/(-1) + 0/2. What is the tens digit of b/6*y/(-8)? 3 Let h = 12939 + -6501. What is the thousands digit of h? 6 Let d(q) = 3*q - 5*q - 26 - 5*q. Let l be d(-6). Suppose -3*r + 2 = -l. What is the units digit of r? 6 Let h = -13 + 17. Suppose 3*b = w - 0*b - 17, 47 = h*w - 5*b. Let o = w + 17. What is the tens digit of o? 2 Let x(s) = s**3 + 23*s - 5 + 27*s - 57*s + 7*s**2. Suppose l - 4*o = -8, o - 3 = -2*l - 10. What is the tens digit of x(l)? 7 Let y = -126 - -160. Suppose -37*d + 1470 = -y*d. What is the hundreds digit of d? 4 What is the units digit of 3 + ((-2)/(52/(-12389)))/(2/52)? 2 Let k(l) = 1045*l + 40. Let i be k(4). Suppose 6*j + i = 16*j. What is the units digit of j? 2 Let z = -10 - -6. Let o(c) = -16*c - 11. Let t(w) = 48*w + 34. Let m(l) = 7*o(l) + 2*t(l). What is the tens digit of m(z)? 5 Suppose 2*j + 2*p = -p + 26, -4*j + p + 24 = 0. Let y(z) = -z**3 + 14*z**2 + 11*z - 49. What is the tens digit of y(j)? 7 Let s = -7854 - -11642. What is the units digit of s? 8 Suppose -11 + 21 = 2*r. Suppose 2*h + 121 = 3*x - 1095, 2*x = -r*h + 779. What is the hundreds digit of x? 4 Let i be ((-24)/(-15))/4*5. Suppose -5*c + 902 = -3*j, -285 = -5*c - i*j + 622. What is the tens digit of c? 8 Let w = 2167 - 417. Suppose 75*o + w = 82*o. What is the units digit of o? 0 Let b(c) = c**2 - 9*c + 9. Let q be b(8). Let g(l) = 7*l**2 - 1. Let u be g(q). What is the tens digit of 77 - u/3*1? 7 Let o be 1 - 6/((-18)/15). Let b = o + -4. Suppose 5*j = -2*z + 245, j + z = -b*z + 62. What is the units digit of j? 7 Let l(i) = 2*i + 14. Let h be l(9). Suppose -68 + 26 = 7*n. What is the units digit of 333/n*h/(-12)? 8 Suppose 18*l - 598 = 2606. Suppose 10*m - 16008 = -l. What is the hundreds digit of m? 5 What is the units digit of 4919 + (-15 + 8)*1 - 3? 9 Suppose -5*w + 47595 = 5*p - 18575, 39750 = 3*w - 5*p. What is the hundreds digit of w? 2 What is the thousands digit of -168579*(2288/144 - 16)? 8 Let z(u) = -11156*u + 108. What is the tens digit of z(-2)? 2 Suppose -2777*a + 2785*a = 24520. What is the thousands digit of a? 3 Let o be 20/90 + ((-3956)/(-18) - 0). What is the hundreds digit of (0 - (-8)/16)*o? 1 Suppose 0 = -3*m - 3*l + 61536, 0 = -3*m - 4*l + 30504 + 31031. Suppose -m - 39371 = -44*t. What is the hundreds digit of t? 3 Let b(f) = 1178*f - 644. What is the units digit of b(13)? 0 Suppose 0 = a - 3, 45 = w - 8*a + 6*a. Suppose 0 = -3*n - 4 - 2, 0 = h - 5*n - 75. Let b = h - w. What is the units digit of b? 4 Let t = 60 - -4. Suppose 0 = -3*j - 4*f - 8 + t, 0 = 5*j + 5*f - 90. What is the tens digit of 276/j - 1/4? 1 Let z = 87 - 40. Let c = z + -53. What is the units digit of (c/2)/((-15)/710)? 2 Let c(b) = -8*b + 2. Let q be (-4 - -3)*(-15 - 2). Let j(t) = -t**2 + 18*t - 25. Let r be j(q). What is the tens digit of c(r)? 6 Suppose -3*n + 3679 = i, -4*n = 3*i - 6*n - 11048. Suppose 3683 = 5*d + 9*y - 11*y, -5*d = -3*y - i. What is the hundreds digit of d? 7 Let l(s) = 9*s**2 + 4*s + 1. Let j be l(-3). Suppose 2*x + 7*b = 12*b - 8, 2*b = 5*x + 41. Let z = j + x. What is the tens digit of z? 6 Suppose 167*i - 10521923 = -1220023. What is the ten thousands digit of i? 5 Let p be -2 - 7/(35/100). Let l be 138/(-33) - 4/p. What is the tens digit of 4 + 111 + l + -2? 0 Let t(o) = 3*o + 46. Let c be t(-15). Suppose 5*v - a + 6*a = 5, 4*a = -3*v - c. Suppose l + v = 0, l = i - 38 - 48. What is the tens digit of i? 8 Suppose -4*c = 5*h - 11488, 4*h + 236*c = 233*c + 9191. What is the hundreds digit of h? 3 Let q = -3371 - -10418. What is the thousands digit of q? 7 Suppose -14 = d - 1. Let l(x) = x + 18. Let i be l(d). Suppose i*a + 67 = 277. What is the tens digit of a? 4 Suppose -16*i = -24*i. Suppose 154*j - 156*j + 398 = i. What is the units digit of j? 9 Let r be ((-400)/(-15))/(3/612). Suppose -25*y + r = -2235. What is the units digit of y? 7 Let u = -82687 - -123964. What is the thousands digit of u? 1 Let b = 6111 + -3225. Suppose 5*z = -34*z + b. What is the units digit of z? 4 Let z be (-2)/6*(-84 + 6). Let r = -23 + z. Suppose y = c - 171, r*c + y = c + 357. What is the units digit of c? 6 Let x be -3*(3 - 2) - -2103. Suppose -8*l = -l - x. Suppose 4*i - l = -2*o, -2*i = -i + 2. What is the units digit of o? 4 Let g(l) = -39*l**2 + 2*l + 42*l**2 - 2*l - 5*l - 7. Let b be g(-2). Suppose -b*c + 730 = -10*c. What is the units digit of c? 6 Suppose 0 = 315*u - 313*u - 4, -q + 4*u = -9287. What is the tens digit of q? 9 Let n(v) = 3*v**2 + 2*v - 6. Let x be ((-8)/20)/((-3)/30). Suppose -x*p - 8 = 12. What is the tens digit of n(p)? 5 Let g = 979 + -659. What is the units digit of (-16)/(g/(-13628)) + (-3)/(-5)? 2 Let z(w) = 9*w**2 + 43*w + 34. Let u(t) = 12*t**2 + 43*t + 34. Let g(a) = -4*u(a) + 5*z(a). What is the units digit of g(14)? 8 Suppose -4*p + 1136 = -1529*m + 1532*m, 2*m - 3*p = 729. Let b = 227 - 421. Let f = m + b. What is the hundreds digit of f? 1 Let n(u) = 2*u**2 - 22*u + 14. Let b(x) = 3*x - 3. Let h be b
{ "pile_set_name": "DM Mathematics" }
? 12164280 What is the smallest common multiple of 10 and 3461614? 17308070 Calculate the lowest common multiple of 192058 and 1271812. 1120466372 Calculate the common denominator of -31/1902 and -33/357893. 2147358 What is the common denominator of 1/33 and 101/3036156? 33397716 Calculate the lowest common multiple of 6525 and 989190. 4945950 What is the lowest common multiple of 2111170 and 69322? 23222870 What is the common denominator of -191/2340 and -161/8283990? 49703940 Calculate the lowest common multiple of 20760 and 53208. 46024920 Calculate the smallest common multiple of 17920 and 968640. 54243840 Calculate the least common multiple of 10714553 and 235637. 182147401 What is the smallest common multiple of 312 and 907888? 35407632 Calculate the lowest common multiple of 3770961 and 562830. 37709610 What is the common denominator of -58/99 and -65/56401983? 56401983 Calculate the common denominator of 68/3591393 and -62/21. 25139751 What is the lowest common multiple of 1722108338 and 3? 5166325014 Find the common denominator of -53/55317152 and 37/20. 276585760 What is the common denominator of -49/10 and -89/123417464? 617087320 Calculate the common denominator of 139/31293570 and -101/556605. 281642130 Find the common denominator of 169/1689864 and 43/1968. 138568848 What is the least common multiple of 3 and 35582176? 106746528 What is the least common multiple of 160234522 and 2? 160234522 Calculate the common denominator of 8/91482063 and -23/24. 731856504 Find the common denominator of -17/12760 and 17/1160203. 46408120 Calculate the common denominator of 43/1520 and 19/630360. 23953680 What is the smallest common multiple of 2046160 and 511540? 2046160 What is the lowest common multiple of 5488119 and 234? 10976238 What is the smallest common multiple of 12850119 and 414? 591105474 What is the least common multiple of 104346294 and 684442? 1147809234 What is the least common multiple of 106962 and 30? 534810 Calculate the smallest common multiple of 70938 and 993132. 993132 Find the common denominator of -37/42555 and -95/221286. 1106430 What is the smallest common multiple of 8 and 1972835? 15782680 Find the common denominator of -23/30337480 and -77/447477830. 1789911320 Calculate the least common multiple of 8418892 and 16837784. 16837784 Calculate the common denominator of -27/7187860 and -17/1696. 57502880 Find the common denominator of -40/6401 and -37/13814742. 511145454 Calculate the common denominator of 15/318413 and -40/199. 63364187 Calculate the common denominator of -22/135 and -19/10023420. 90210780 Find the common denominator of -133/65040 and -23/65620. 213396240 What is the least common multiple of 1077010 and 460? 49542460 Calculate the common denominator of -133/912588 and -107/738. 112248324 Calculate the common denominator of 43/168 and -173/24367728. 24367728 Calculate the common denominator of -83/75872 and -25/14854. 563501344 Find the common denominator of -111/30588160 and 107/322. 214117120 Calculate the smallest common multiple of 7203 and 398419. 58567593 What is the smallest common multiple of 138 and 319654? 958962 Calculate the common denominator of 13/6866 and 13/514950. 514950 What is the lowest common multiple of 2826355 and 2? 5652710 Find the common denominator of -12/20578351 and 27/102891755. 102891755 Find the common denominator of 43/13711236 and -10/2079. 123401124 What is the common denominator of -103/152524 and -31/3944? 8846392 What is the lowest common multiple of 780735 and 6789? 780735 Calculate the common denominator of 41/27 and 119/20821950. 62465850 What is the smallest common multiple of 30 and 1381995? 2763990 What is the common denominator of 107/2798724 and -95/12573372? 842415924 What is the lowest common multiple of 22 and 5030038? 55330418 What is the least common multiple of 112515 and 24986? 216253830 What is the smallest common multiple of 1693536 and 14927? 18628896 Find the common denominator of 101/364240 and -13/5922040. 343478320 Calculate the lowest common multiple of 649 and 69938. 4126342 Calculate the smallest common multiple of 836 and 1027539. 45211716 What is the lowest common multiple of 14035184 and 112? 98246288 Calculate the smallest common multiple of 120208 and 360624. 360624 Find the common denominator of -25/28 and -85/247448. 1732136 Calculate the lowest common multiple of 235675760 and 272. 235675760 Calculate the lowest common multiple of 8176 and 1210048. 1210048 What is the smallest common multiple of 1570131 and 129099660? 1161896940 What is the least common multiple of 21193084 and 33616616? 974881864 What is the common denominator of -56/38403 and -29/5020? 768060 What is the common denominator of 109/114576 and 29/10416? 114576 Find the common denominator of 103/498420 and 28/14697. 11463660 What is the lowest common multiple of 120 and 204222? 4084440 What is the least common multiple of 6272 and 3353700? 751228800 What is the least common multiple of 1883782 and 227353? 13186474 What is the common denominator of -115/1429974 and 107/84? 2859948 What is the common denominator of -155/20202 and -101/586894? 22888866 Find the common denominator of 55/505174 and 139/1515522. 1515522 Calculate the smallest common multiple of 739612 and 1. 739612 Calculate the lowest common multiple of 6600 and 352. 26400 Find the common denominator of -71/4386144 and -31/3416. 4386144 Calculate the lowest common multiple of 6400 and 14545600. 58182400 What is the common denominator of 113/16276878 and -79/24912? 130215024 What is the lowest common multiple of 82971 and 119259? 52354701 What is the common denominator of 25/11 and 27/57228524? 629513764 What is the lowest common multiple of 324800 and 4725? 8769600 Calculate the lowest common multiple of 510 and 9257900. 472152900 What is the common denominator of -45/3535664 and 7/93534384? 1028878224 What is the common denominator of -73/428032 and 51/446336? 135686144 Calculate the common denominator of 101/10462158 and 18/35. 52310790 Find the common denominator of -53/1737616 and 19/62119772. 248479088 Calculate the smallest common multiple of 9 and 6918057. 6918057 Calculate the least common multiple of 785550 and 1036926. 25923150 Calculate the common denominator of -23/6 and 83/13450374. 13450374 Calculate the common denominator of 151/1442442 and -89/228. 2884884 Calculate the smallest common multiple of 2141516 and 924. 494690196 Calculate the least common multiple of 458556 and 294786. 4127004 Calculate the common denominator of -33/25744 and -61/90400056. 180800112 What is the least common multiple of 13746 and 2481864? 71974056 Calculate the common denominator of 36/229673 and 67/6. 1378038 Calculate the lowest common multiple of 6231 and 115204. 717836124 What is the least common multiple of 16949643 and 299443693? 898331079 What is the least common multiple of 6252 and 9775002? 19550004 Find the common denominator of -57/99382 and 55/551633. 87158014 Find the common denominator of 109/174 and 21/4648180. 404391660 Calculate the common denominator of 25/9 and -89/19944792. 19944792 Find the common denominator of -58/237741 and -70/40382007. 282674049 What is the common denominator of 18/86518447 and 22/7? 605629129 Calculate the common denominator of 59/828252 and -109/540. 4141260 Find the common denominator of -33/917 and 85/1231138. 8617966 What is the common denominator of 17/1790 and 64/50545? 18095110 Calculate the least common multiple of 67488 and 43956. 6681312 Calculate the least common multiple of 15486 and 232. 61944 Find the common denominator of -63/51080 and -9/3856540. 7713080 What is the smallest common multiple of 351870 and 48174? 76355790 Calculate the smallest common multiple of 37352160 and 24901440. 74704320 Calculate the common denominator of -179/288240 and -27/653344. 9800160 Calculate the lowest common multiple of 25452 and 63717264. 446020848 Calculate the least common multiple of 2275 and 27525. 2504775 What is the common denominator of -21/964 and -81/5146012? 1240188892 Find the common denominator of -26/58107 and 131/11214. 31029138 What is the smallest common multiple of 38 and 111900240? 2126104560 Calculate the smallest common multiple of 2756204 and 8
{ "pile_set_name": "DM Mathematics" }
k**2. Let n(c) be the second derivative of r(c). Determine n(5). 4 Let u(m) = m**3 + 3*m**2 - 3. Let o(j) = j**3 + 4*j**2 + j - 3. Let h(x) = 3*o(x) - 4*u(x). Let d be (24/60 - (-6)/10) + -3. Give h(d). 5 Let c be (-1)/2*(-10)/(-1). Let k(l) = -3*l - 7. Let z be k(c). Let q = 13 - z. Let b(g) = -g**2 + 6*g - 3. Determine b(q). 2 Let w(b) = -107 + 4*b + 56 + 54. What is w(-3)? -9 Let f = -3 + 6. Let g(n) = 4*n**2 - n**2 + 4*n**3 - 2*n**f + 3 - n - n**3. Calculate g(-3). 6 Let t(p) = -2*p + 6. Let g(s) = s**2 + 5*s - 9. Let n be g(-7). What is t(n)? -4 Let k(r) = -r**2 - r + 4. Suppose 0*n - 2*q + 2 = -2*n, -4*q = -n + 5. What is k(n)? -2 Let j(k) be the second derivative of k**3/6 - 2*k**2 + 24*k. Determine j(6). 2 Let j be (4/960*2)/1. Let p(k) be the third derivative of 0*k + 0 + 1/30*k**5 + k**2 + j*k**6 - 5/24*k**4 - 1/2*k**3. Determine p(-3). 3 Let x(j) = -j**3 + 4*j**2 + 6*j + 2. Suppose 4 + 4 = 4*n. Suppose 62 - n = 4*h. Suppose 5*t - h = 2*t. Give x(t). 7 Let o(p) be the second derivative of p**3/2 - 2*p**2 - 8*p. Give o(5). 11 Let j = 16 + -11. Let d(m) = 4*m**3 + 7*m**2 + m - 4. Let o(z) = z**3 + z**2 - 1. Let i(q) = j*o(q) - d(q). Give i(3). 5 Suppose 0 = -8*l + 13 - 5. Let w(t) = -3*t**2 + t - 1. Give w(l). -3 Let v(d) = -3*d + 110 - 106 + 5*d. Suppose 6*s - s + 2*x = 6, 2*x + 12 = 4*s. Let j = s + -5. Determine v(j). -2 Suppose -43 = 3*a + 4*v - 9*v, 49 = -4*a + 5*v. Let i(w) = -w**3 - 7*w**2 - 4*w + 2. What is i(a)? -10 Let v(l) = l**3 + 2*l**2 + 1. Let o be (-1)/(((-5)/60)/((-2)/8)). What is v(o)? -8 Suppose -2*g + 2*n + 6 = 0, 3*g - 5*n - 9 = -4*n. Let x be (-2 - 2)*g/(-6). Let s(a) = a**2 + 2 + a + 3*a - a**3 - 5. What is s(x)? 1 Let f(x) be the first derivative of 1 - 1/2*x**2 + 3*x. Let z(u) = u + 2. Let t be z(-5). Calculate f(t). 6 Suppose 3*y - 4 + 1 = 0. Let z(h) = -5*h - 1. Calculate z(y). -6 Let s(v) = -v**3 + 4*v**2 - 4*v + 3. Let x be s(3). Let i(t) be the second derivative of 1/4*t**4 + 1/6*t**3 + t + 1/20*t**5 + x + 1/2*t**2. Determine i(-3). -2 Let m(v) be the third derivative of -v**6/360 - v**5/30 + v**4/8 + 7*v**3/6 - 2*v**2. Let n(r) be the first derivative of m(r). Give n(2). -9 Let l(d) = -d**3 + 3*d**2 - 2. Let i = 15 - 12. Calculate l(i). -2 Let j(c) = c**2 + 10 - 9 - 6*c + 11*c. Give j(-6). 7 Let u(o) = -o**3 - 5*o**2 - 3*o - 12. Suppose 0 = 12*b + 34 + 26. Give u(b). 3 Let d(u) = u**2 - 2*u + 1. Suppose r - 44 = 3*r. Let t = 50 + r. Let z be ((-1)/2)/((-7)/t). Calculate d(z). 1 Let r(f) = 2*f - 5*f**2 + 3*f + 6*f**2 + 6 + f. Let b = -17 - -12. Determine r(b). 1 Let r(d) = 2*d**2 - 2*d + 1. Let y(l) = 5 + 0*l**3 - 4*l + l**3 - 2 - 3*l**2. Let p be y(4). Suppose -4*z = -z - p. Calculate r(z). 1 Let x(g) = -4*g + 1 - g**2 - 8*g + 13*g. Calculate x(3). -5 Suppose -6*k + 11*k = -10. Let p(u) = -u**2 - 6*u + 1. Let d(b) = b. Let z(y) = 6*d(y) + p(y). Give z(k). -3 Let m(g) be the second derivative of -g**3 + 5*g. Give m(-1). 6 Let i(h) = h - 4. Let m = 0 + -5. Calculate i(m). -9 Let s(o) = -3*o**3 - o**2 + o. Let f(x) = -x**3 + 6*x**2 + 5*x - 5. Let n be 4/6*(12 + -3). Let i be f(n). Let a be 4/10 - (-15)/i. Give s(a). -3 Let y(j) = 2*j**3 + 8*j**2 - 10*j + 1. Let c be y(-5). Let m(w) = 4*w**2 + w. What is m(c)? 5 Let y = -9 - -11. Suppose y*h + h = -12. Let x(p) = p**3 + 5*p**2 + 4*p + 3. Determine x(h). 3 Let f be (1 - 1)/(5 - 9 - -3). Let v(g) be the first derivative of f*g**3 + 0*g - 4 - 1/4*g**4 - 1/2*g**2. What is v(1)? -2 Let k(x) = -10*x - 16. Let y(u) = 2*u + 4 - 2 + 1. Let q(z) = -2*k(z) - 11*y(z). Let v = 58 + -60. Calculate q(v). 3 Let n(d) be the second derivative of -1/20*d**5 - 5/3*d**3 - 7/12*d**4 + 0 - 7/2*d**2 + 5*d. Determine n(-6). 17 Let i be (56/(-12))/((-4)/6). Let c = 7 - i. Let a(x) = -x + 1. Determine a(c). 1 Let t(q) be the second derivative of 2*q**3/3 + q**2 + 48*q. Calculate t(2). 10 Let l(r) = r - 5. Let n(z) = z + 0*z - 5 + z. Let v(x) = -3*l(x) + 2*n(x). Determine v(-4). 1 Suppose -5*t - 1 = 3*w, 0 = -3*t + w - 4*w + 3. Let u be -2 + 5 - (3 + t). Let g(h) = -h**3 + 4*h**2 - h - 2. What is g(u)? 4 Let h(x) = 3 - 5*x**2 + 3*x + 6*x**2 + 0*x**2. Suppose 5*l - 4*l = -5, -5*n + 4*l = -10. What is h(n)? 1 Let r(g) be the third derivative of -g**6/10 - g**5/30 + g**3/6 + 6*g**2. Determine r(-1). 11 Let q be (-52)/(-14) + (-4)/(-14). Let z(o) = -o**2 + q*o**3 - 3*o + o**2 + 4*o. Let n be ((-2)/(-1) - 3)*1. Calculate z(n). -5 Let s(t) = 5*t - 6. Let y(k) = -14*k + 17. Let o(z) = 11*s(z) + 4*y(z). Give o(-5). 7 Let c(b) be the second derivative of -b**3/6 - b**2 - 3*b. Let l(y) = -y**2 + 4*y + 7. Suppose 0 = 4*w + w - 25. Let s be l(w). Calculate c(s). -4 Let i be (-6)/4*4/(-2). Let d(q) be the second derivative of -q**4/12 + 2*q**3/3 - q**2/2 + 5*q. Let x be d(i). Let y(u) = 2*u**2 - u - 2. Determine y(x). 4 Let k(d) = d**3 + 0*d**2 + 6*d**2 + 2*d**3 - 5 - 2*d**3. Let r be k(-6). Let j(q) = -2*q - 1. What is j(r)? 9 Let m(d) = 2 - 2 - 2 + 3 - 4*d. Give m(-2). 9 Let o(t) = 2*t - 9. Let z be (4/10)/(1/15). Calculate o(z). 3 Let l(o) be the third derivative of o**5/60 - o**4/6 - o**3/6 + 2*o**2. What is l(3)? -4 Let w(o) = 3*o**2 - 2*o - 1. Let f be (-5)/15 - (-56)/6. Let n be (0/(-2))/(f + -11). Let j be n/(6/2) - 1. Determine w(j). 4 Suppose 5*z - 3*p = -0*z + 39, 2*z - 26 = -4*p. Suppose 3*l + z + 9 = 0. Let x(m) = -m - 2. Give x(l). 4 Let g(b) = -1 + b**3 + b - 5*b**2 - 5*b + b**2. Let d(s) = s**3 + 10*s**2 + 7*s - 13. Let u be d(-9). What is g(u)? 4 Let d(z) = z + 3. Let p(l) = l**3 + 3*l**2 - 6*l - 4. Let a be p(-4). Suppose -a*c - 6 - 18 = 0. Calculate d(c). -3 Let y(u) be the second derivative of -u**4/12 + u**3 + 43*u. Give y(5). 5 Suppose 2*j - 5*t - 5 = -4*t, -j - 2 = 4*t. Suppose -r + 2*c + 5 = 0, 2*r + 4*c = 5*c + 7. Let f(x) = 3*x**r + 3*x - 3*x**3 - x**3 - 2. Give f(j). -4 Let d(g) = g. Let l = -111 - -103. Give d(l). -8 Let w(v) = -v**3 + 5*v**2 + 5. Let a(u) be the second derivative of u**4/12 - 5*u**3/6 - u**2/2 + 2*u. Let z be a(6). Suppose 4*f + z = 25. What is w(f)? 5 Let t(c) = 3*c + 9. Let r = 113 + -117. Give t(r). -3 Let a(i) be the first derivative of -i**4/4 + 4*i**3/3 + 5*i**2/2 + i - 7. Determine a(5). 1 Let q(s) be the first derivative of -s**4/2 - 4*s**3/3 - 2*s**2 - 2*s + 21. Let n = 7 - 9. Give q(n). 6 Let p(i) = i**2 - i - 1. Let o(y) = -y + 8. Let j(n) = -n**3 + n**2 - n + 1. Let c be j(1). Suppose c*w + 35 = 5*w. Let z be o(w). Calculate p(z). -1 Suppose -79*q + 39 = -76*q. Let r(s) = -s**2 + 13*s + 6. What is r(q)? 6 Let k(l) = -l**3 + 3*l**2 + 5*l + 3. Let b be k(4). Let a(m) = -b - m + 6 - 3. Let p = 2 + -4. Determine a(p). -2 Let v = -4 - -9. Suppose -4*x + 137 = 45. Let c be 4/(-10) - x/v. Let m(s) = s**3 + 4*s**2 - 6*s - 6. Give m(c). -1 Let d(l) = -2*l + 37. Let g be d(16). Let b(t) be the third derivative of 1/120*t**6 + 1/24*t**4 - t**2 - 1/6*t**3 + 1/60*t**g + 0*t + 0. Give b(-2). -7 Let v(w) = w**2 - 6*w + 2. Let d(m) = -4*m + 2 + 4 + 5*m**2 - m**3 - 1. Let n be (-7 - -1)/(6/(-4)). Let u be d(n). What is v(u)? -3 Let d(j) = -8*j + 0 - 2 + 5 + j**2 + 2. Let t(m) = m**2 - 5*m - 8. Let o be t(7). What is d(o)? -7 Let r(v) = v**3 - 7*v**2 - 8*v + 6. Let i be -5 + 3 + -1 + 11. What is r(i)? 6 Let w = 21 - 14. Let h = -3 + w. Suppose h = -2*p - 0*p. Let c(b) = -b**2 - 3*b - 3. What is c(p)? -1 Suppose -t = -2*t + 4. Let j(q) = -t*q + 4 + 9*q - 3*q. What is j(-4)? -4 Let k = 14 - 13. Let n(m) = -9*m + 1. What is n(k)? -8 Suppose 2*n + 5 = 4*z - 3, 23 = 5*z + 4*n. Let f(i) = -2 + 3*i - 1 - i - i**2. Determine f(z). -6 Suppose -3*a + 2 = -2*m + a, 3*a - 14 = -m. Let q(o) = -m*o**2 - 4 + 5 + 2*o + 0*o. Let y = 93 - 94. What is q(y)? -6 Let z(m) = -1 - 3*m - 8*m + 3*m. Let s be (-2 - 8/(-12))*-3. Suppose -4 = -p - d - s*d, p = -4*d + 3. Give z(p). 7 Let x(c) = -5*c**3 - 7*c**2 + 8*c + 4. Let i(k) = -3*k**3 - 5*k**2 + 5*k + 3. Let j(g) = 8*i(g) - 5*x(g). Give j(5). 4 Let k(o) = o**3 - 3*o**2 - o - 1. Let q be (0 - -4)*(-1)/(-2). Suppose q*n - 3 = n. Give k(n). -4 Let z(i) = -i**2 - i + 4. Let y(m) = m - 1. Let g(o) = 4*y(o) - z(o). Suppose 5*b - 3*c + 18 = -6*c, 0 = -4*b - c - 20. What is g(b)? -2 Suppose -1 + 13 = 4*d. Let m(q) = -3 + 2*q**d + 2 + q**2 - 3*q**3. Suppose 7*a = 3*a + 4. Determine m(a). -1 Let u(q) = -q**3 - 3*q**2 + 6*q + 5. Suppose -b
{ "pile_set_name": "DM Mathematics" }
3*j + 14 = 5*k - 0, -k = j - 6. Suppose -4*y - 8 = w, j*y + 26 = 6*w - w. What are the prime factors of w? 2 Suppose 179 - 87 = 4*j. List the prime factors of j. 23 Let b be (5 - 4)/(2/16). Let z = 16 - b. List the prime factors of z. 2 Let y(q) be the second derivative of -2*q + 7/2*q**2 - 3/2*q**3 - 1/12*q**4 + 0. What are the prime factors of y(-9)? 7 List the prime factors of -1*(-2)/(-2)*(-73 + 1). 2, 3 Let j(s) = -s**3 + 4*s**2 - s - 1. Let h be j(3). Let f(q) = -q**3 + q + 1. Let w(t) = 4*t**3 - 5*t. Let r(l) = h*f(l) + w(l). List the prime factors of r(0). 5 Suppose s - 3 = -5*v, -3*s + 2*s = -4*v - 21. Let p = -7 + s. What are the prime factors of p? 2, 3 Suppose 0*f - 360 = -3*i - 5*f, -3*i = 2*f - 360. What are the prime factors of i? 2, 3, 5 Let d(m) = -m**3 - 3*m**2 + 4*m + 2. Let u be d(-3). Suppose -17 - 15 = -2*i. Let b = i + u. What are the prime factors of b? 2, 3 Suppose 2*n = -4*g + 926, 1084 = 4*g - 4*n + 140. List the prime factors of g. 233 Suppose 0 = 2*h - 20 - 52. Let b be 1/(2/53)*2. Let g = b - h. List the prime factors of g. 17 Suppose 0 = -2*q - 2*r + 118, 147 = 3*q - 5*r + 2*r. What are the prime factors of q? 2, 3 Let i = -259 + 450. What are the prime factors of i? 191 Let t = 2 + -2. Suppose -2*d - 5*l - 13 = 0, -4*d + d + 4*l - 8 = t. What are the prime factors of (-6)/24 - 37/d? 3 Suppose -2*i + 5*t + 19 = i, -3*t = 4*i - 6. Suppose 70 + 17 = -i*v. Let b = v + 42. List the prime factors of b. 13 Let i(j) = -j**3 + 8*j**2 - 3*j. List the prime factors of i(6). 2, 3 Let k(q) = 0*q**2 - 4*q - 3*q**2 - 1 + 4*q**2. Let h be k(3). List the prime factors of 2/h - 30/(-4). 7 Let m(l) = -l + 3. Let d be 2/(-12)*-3*0. What are the prime factors of m(d)? 3 Let o(i) = -11*i**2 - 3*i - 1. Let s(z) = -5*z**2 - z. Let v(c) = 2*o(c) - 5*s(c). Let x be 2/(-3)*(0 - -3). List the prime factors of v(x). 2, 3 Let h be 1 + (-2)/(-2) + -19. Let r = 37 + h. List the prime factors of r. 2, 5 Let a(h) = h**2 + h + 1. Let c = -15 - -10. List the prime factors of a(c). 3, 7 Let p(b) = b**3 - b**2 + 21. Let z be p(0). What are the prime factors of -1*(1 - -1) + z? 19 Let p(s) = s**2 - 2*s + 3. Suppose 2 = -2*t - 4. Let r = t + 6. What are the prime factors of p(r)? 2, 3 Let n(u) = -3*u**2 + 2*u + 1. Let b be n(2). Let l = 9 + b. What are the prime factors of l? 2 Let f(v) be the first derivative of v**3/3 + 5*v**2 - 11*v - 1. What are the prime factors of f(-12)? 13 Suppose 61 + 101 = 3*f. What are the prime factors of f? 2, 3 Suppose 284 = 37*m - 33*m. List the prime factors of m. 71 Let t = -497 + 713. List the prime factors of t. 2, 3 Suppose -160 = -4*p + 136. What are the prime factors of p? 2, 37 Suppose -2*j + 7*j = 1005. List the prime factors of j. 3, 67 Let g = 7 - 3. Suppose 0 = -g*p + 35 + 165. List the prime factors of 4/5*p/4. 2, 5 Let o(w) = w**3 - 9*w**2 + 4*w - 11. List the prime factors of o(9). 5 Let j(c) = 3*c + 16. What are the prime factors of j(0)? 2 Let l(h) = -11*h + 1. What are the prime factors of l(-10)? 3, 37 Let n be (6/4)/(3/8). Suppose n*p - 76 = -4*g, 5*g - 47 - 18 = 5*p. What are the prime factors of g? 2 Let g(d) = d + 9. Let j be g(-10). Let y = j + 8. List the prime factors of y. 7 Suppose 2*t - 110 = -2*a, 4*a - 8*t - 265 = -3*t. List the prime factors of a. 2, 3, 5 What are the prime factors of 33 - (4 + -1) - 2? 2, 7 Let x be 1/(3 - (-2)/(-1)). List the prime factors of 2*x/(1 - 0). 2 Let l be (-8)/(-3) + 4/(-6). Suppose 2*z = -g + 2*g - 16, -5*g + 44 = l*z. List the prime factors of g. 2, 5 Let h = 11 + -8. Suppose 3*c + h*a - 12 = 0, -4*c + 8 = -5*a - 8. List the prime factors of ((-5)/(-2) + -1)*c. 2, 3 Suppose -2*t = 3*t. Suppose -4*h - 16 + 48 = t. Suppose -5*x = -h - 27. What are the prime factors of x? 7 Let d be -4*(-1)/(-3 - -5). Let i(r) = r**2 + 2*r + 1. List the prime factors of i(d). 3 Suppose -2*f = 2*f. Suppose f = 2*l + 3*s - 59, 2*l + 3*l = -2*s + 120. What are the prime factors of l? 2, 11 Let c = 3 + 27. What are the prime factors of c? 2, 3, 5 Let k be 155/55 - 4/(-22). Let u(x) = -x**3 + 6*x**2 - 3*x - 3. Let o be u(k). Suppose -o = -5*y + 65. What are the prime factors of y? 2 Suppose -2*d + d + 59 = -2*z, 2*z - 148 = -2*d. What are the prime factors of (d/3 + 3)/1? 2, 13 Suppose g - 5*g = -104. Let q = -17 + g. List the prime factors of q. 3 Let r(t) = 2*t - 3. Let m be r(-5). Let x = -9 - m. Suppose -3*g = -14 - x. List the prime factors of g. 2, 3 What are the prime factors of ((-154)/(-4))/(-11)*6*-1? 3, 7 Let i be (5 + -31)*(0 - -1). Let j be i/(-6) + 3/(-9). Suppose -j*q = -3*x + 13, 4*x - 37 = -x - q. What are the prime factors of x? 7 Let n be (-18 + 2)*(0 + 1). Let d be (246/4)/((-12)/n). Suppose -4*l = -5*y + d, -y = -4*l - l - 8. List the prime factors of y. 2, 3 Let p be (10/(-15))/(1/(-6)). Suppose z = 2*q - 52, -44 = -2*q + z - p*z. Suppose -g + 2*u - 4 = 0, 2 = 2*g + 3*u - q. List the prime factors of g. 2, 3 Let j = -6 + 7. Let d = j + 8. What are the prime factors of d? 3 Let t = -7 + 4. Let n be (2 - 8/6)*t. Let h = n - -8. List the prime factors of h. 2, 3 Let w be -1 + 0/(2 - 0). Let s be 1 + 4 + (w - -1). Suppose 2*d = s*h - 50, -34 = h - 4*h + 2*d. List the prime factors of h. 2 Suppose -5*z + z + 4 = -2*m, 5*m - 15 = 5*z. Let l = -2 + m. List the prime factors of l. 2, 3 Let n = 10 + -30. Let c = 2 - n. What are the prime factors of c? 2, 11 Let q = 8 + 6. Suppose 3*g - q = g. List the prime factors of g. 7 Let h be -4 - (-2 - 0) - -2. Suppose -3*o - 2*o + 140 = h. What are the prime factors of o? 2, 7 List the prime factors of (12 - -2)*(-1)/(-2). 7 Let y(f) = f**2 - 1. Let x be y(-2). Let i = x - -1. Suppose -i*s + 23 - 3 = 0. What are the prime factors of s? 5 Suppose 20 = 4*d, 3*d = -3*c + d + 97. List the prime factors of c. 29 Suppose -4*f = -4, 3*v + 5*f - 345 = 155. Suppose -5*g + 10 = -v. List the prime factors of g. 5, 7 Let x(h) = -1 + 5*h + 0 + 0. What are the prime factors of x(2)? 3 Let z(w) = -w**2 - w**3 + 6*w**2 - 9 + 8. List the prime factors of z(4). 3, 5 Suppose 6*x - 8 = 4*x. Let d(u) = 2*u - 6. Let o be d(x). Suppose -4*w + o*w = -10. List the prime factors of w. 5 Let z be (12/1)/((-6)/4). Let g(y) = -y**2 - 9*y - 5. Let n be g(z). Suppose 3*a + s - 3 - 56 = 0, -3 = n*s. What are the prime factors of a? 2, 5 What are the prime factors of (3 - 82/4)/((-3)/6)? 5, 7 Let r = 71 + -34. Suppose i + 7 = r. Suppose -s - 2*s = -i. List the prime factors of s. 2, 5 Suppose 2*r = -3 - 1. List the prime factors of ((-62)/(-4))/(r/(-4)). 31 Suppose -5*s + 655 = 5*v - 9*s, -685 = -5*v - 2*s. What are the prime factors of v? 3, 5 Let k = 299 - 155. What are the prime factors of k? 2, 3 Let h be ((-70)/(-5))/(0 - 1). Let o = h - -46. List the prime factors of o. 2 Suppose 156 = 7*u + 37. List the prime factors of u. 17 Let y(j) = j + 3. Let o be y(-2). Let g = o - -1. Suppose d = -d + 4*w + 24, 15 = g*d + 5*w. List the prime factors of d. 2, 5 Suppose -2*w + 251 = 5*n - 98, -2*n = w - 174. What are the prime factors of w? 2, 43 Suppose -2*x + 8 = -4. What are the prime factors of x/(-9) - 58/(-6)? 3 Suppose -3*t + 18 = 3*t. Suppose 2*s + 32 + 35 = 3*q, 4*q - 88 = t*s. List the prime factors of q. 5 Let g(q) = q**3 + q + 4. Let m be g(0). Let b be (0 - 4/1)/(-1). Suppose -32 = -y - b*y + 2*h, 2*h = -m*y + 22. What are the prime factors of y? 2, 3 Let j = 5 + -2. Suppose 0 = -0*i - j*i. Suppose -3*g = -i - 12. List the prime factors of g. 2 Let d be ((-12)/(-18))/((-2)/(-21)). Suppose -4*c = 3*m + d, 5*m - 4*m - c - 7 = 0. Let j = m + 13. List the prime factors of j. 2 Let l = 16 - 9. List the prime factors of l. 7 Suppose 0 = -6*g - 274 + 898. List the prime factors of g. 2, 13 Suppose 0*y - 55 = -5*s + 5*y, 4*s - 84 = -4*y. List the prime factors of s. 2 Let s be (-3 + 5)*-1 + -13. Let h = -9 - s. List the prime factors of h. 2, 3 Let a(p) = p**3 + 11*p**2 + 7*p - 7. List the prime factors of a(-10). 23 Suppose -5*k + 5*t = 2*t - 13, -5*k + t = -11. List the prime factors of (1 - 1) + k - -17. 19 Let w = 40 - 27. List the prime factors of w. 13 Suppose -60*u + 56*u + 220 = 0. List the prime factors of u. 5, 11 Let h(w) = 5*w**2 - w - 1. Let u be 2/((-4)/(-2))*-1. Let f be h(u). Let i = f - 3. What are the prime factors of i? 2 Let o = 17 -
{ "pile_set_name": "DM Mathematics" }
b be 0 - 3/(-3) - (-2 - 0). Suppose b*w + 143 = -4*m + 6*m, -4*w = -2*m + 140. What are the prime factors of m? 2, 19 Let t(z) = -159*z**3 - 23*z - 29. What are the prime factors of t(-6)? 131, 263 Let m(l) = -1 + 3*l**2 + 6*l**2 - 8*l**2. Let s be m(3). Suppose -3*k + 166 = 2*u, -5*k + 306 = -s*u + 4*u. What are the prime factors of k? 2, 29 Let v = -141 + 287. Suppose -3*r + 3*l = -7*r - 258, -4*r = l + 262. Let f = r + v. List the prime factors of f. 2, 5 Suppose 14 + 94 = 2*x. Let p = x + -14. List the prime factors of (-484)/(-3) - (7 + p/(-6)). 7, 23 Let w(p) = -2*p + 162. Let h be w(-7). Suppose 4*a = 2*j - h, -4*j = 3*a - 419 + 34. What are the prime factors of j? 2, 47 Let l be (-1)/(0 - (-2)/(-2)). Suppose 3*u - 4 = -l. What are the prime factors of (u*2/(-4))/((-4)/680)? 5, 17 Suppose 24*d = 31*d + 7. Let c(l) = -l**3 - l**2 + 2. Let w be c(d). What are the prime factors of w + 48 + (1 - 3)? 2, 3 Suppose 11*w - 269 = 523. Suppose -75 = w*z - 77*z. What are the prime factors of z? 3, 5 Let u(i) = -2*i**3 + 8*i + 4. Let a be u(-2). Suppose a*n + x - 1032 = 0, -2*n - 3*x + 4*x + 510 = 0. What are the prime factors of n? 257 Let z = -292 + 162. Let d = z - -312. List the prime factors of d. 2, 7, 13 Suppose 2385 = 3*a - 6*a. Let q = -564 - a. Suppose -4*f + 77 = -y + 2*y, -3*y + q = -f. What are the prime factors of y? 7, 11 Suppose 660 = 3*m - m - 5*t, -4*m + 1320 = -5*t. Let n = m - 150. List the prime factors of n. 2, 3, 5 Let k be (-4 - -1)/((-24)/(-32)). Let l be 1/((-3)/k)*36/24. Suppose 37 = l*o - 93. List the prime factors of o. 5, 13 Let t(c) = -223*c - 57. Let f be t(-21). Suppose i - f = -17*i. What are the prime factors of i? 257 Let f be (4*-406 - 3) + (2 - -1). What are the prime factors of -5*3/(-15) - f? 5, 13 Let y(p) = 2845*p + 998. List the prime factors of y(17). 49363 List the prime factors of 7 + 15/(-2)*1381436/(-1030). 2, 7, 719 Suppose 0 = -8*u + 4*u + 48. Suppose u - 8 = 2*n. Let r(x) = 16*x**3 - 4*x**2 + 3*x - 2. What are the prime factors of r(n)? 2, 29 Let g = 4294 + -673. What are the prime factors of g? 3, 17, 71 Suppose 0 = -a - 0*o + 2*o - 51, -2*o = -5*a - 239. Let p = 63 - a. Suppose 4*g = 2*u - 76, -p - 15 = -4*u - g. What are the prime factors of u? 2 Suppose 2*f + 3*k - 21 = 0, -5*f - 6 = -4*k - 1. Suppose z + 265 = f*o - 1890, -3605 = -5*o + 5*z. What are the prime factors of o? 3, 239 Suppose 0 = 2*r - 6 - 12. Suppose r*z - 3 = -21. Let p(j) = -16*j - 5. List the prime factors of p(z). 3 Let d = 5568 + -3356. Let g = d - 1116. What are the prime factors of g? 2, 137 Let g be (3492/(-24))/((-3)/4). Suppose 191*v + 207 = g*v. List the prime factors of v. 3, 23 Let r(g) be the first derivative of 9*g**2/2 - 41*g + 2. Let p = -668 - -688. What are the prime factors of r(p)? 139 Suppose 15*c - 184743 = -66978. What are the prime factors of c? 3, 2617 Suppose 67*a = -5*a + 316728. What are the prime factors of a? 53, 83 Let z = -36 + 46. Suppose -z*k + 132 = k. Let o(w) = w**2 - 2*w + 15. List the prime factors of o(k). 3, 5 Suppose 5*h = 4*b - 40, -h + 2 = -b + 11. Suppose 0*a = 2*a - 3*g + 18, b*a + 4*g = -45. Let y = 19 + a. List the prime factors of y. 2, 5 Let w(c) be the first derivative of 2*c**3/3 - 15*c**2/2 + 20*c - 1. Let r(d) = 5*d**2 - 3*d. Let i be r(2). List the prime factors of w(i). 2, 101 Suppose g + 125118 = 34*k - 32*k, -5*g = -5*k + 312790. List the prime factors of k. 2, 5, 17, 23 Suppose -10*b + 7129 = -4581. Suppose -23*m + 19*m - b = -i, 0 = -5*m - 20. List the prime factors of i. 3, 5, 7, 11 Let c(p) = -p**3 - 3*p**2 - 9*p - 13. Let m be c(-5). Let g = m - 56. What are the prime factors of 5/(g/(-20) + (-21)/(-14))? 5 Suppose -12 + 3 = 3*t. Let o(i) = -i - 1. Let r be o(t). Suppose -r*y = -59 + 29. List the prime factors of y. 3, 5 Let p(z) = -52*z - 130. Let q(y) = 11*y + 26. Let j(l) = -3*p(l) - 14*q(l). What are the prime factors of j(-12)? 2 Suppose -29*v + 30*v = -692. Let m = v - -1485. What are the prime factors of m? 13, 61 Suppose -2189*v + 2186*v + 73332 = 0. List the prime factors of v. 2, 3, 7, 97 Let i = 646 + -622. List the prime factors of (-9)/((-81)/i)*102. 2, 17 Suppose 0 = -2*j - 3*d - 3 + 30, 2*j - 2 = 2*d. Let p(g) = -g**2 + 7*g. Let x be p(j). What are the prime factors of 595/10 - 9/x? 2, 29 Suppose -3*b + 8*b + 115 = 0. Let h be (90/7)/(5 + 469/(-98)). Let d = h - b. What are the prime factors of d? 83 Let n = -652 + 706. Suppose 0 = -0*i + n*i - 103626. List the prime factors of i. 19, 101 Suppose -4*d = -7819 - 389. Suppose -24*o = -33*o + d. What are the prime factors of o? 2, 3, 19 Suppose -3*u = 3*x - 2166, -5 = -17*u + 12*u. Suppose 25*w - 2604 - x = 0. List the prime factors of w. 7, 19 Let v = -12105 + 20844. What are the prime factors of v? 3, 971 Suppose -319*b - 74*b - 217*b = -13285190. List the prime factors of b. 29, 751 What are the prime factors of (-10608)/(-168)*8/((-48)/(-42))? 2, 13, 17 Let t(v) = v**3 - 3*v**2 - 10*v - 4. Let x be t(-4). Let j = 78 + x. Suppose j*b + 2*b = -8, 4*b = n - 96. What are the prime factors of n? 2, 11 Let o = -2742 + 7589. What are the prime factors of o? 37, 131 Suppose -7*u + 5*u = 2*h - 8, 3*h + 9 = 0. Suppose -u*i + 7935 = 16*i. List the prime factors of i. 3, 5, 23 Suppose -3*z + 11 = -5*y, -2*y = 3*z - y - 5. Suppose -3*n = -z*n + 4*a - 3, a + 1 = -2*n. Let x(w) = 144*w**2 + 2*w + 1. What are the prime factors of x(n)? 11, 13 Suppose -92*r + 68649 = -181*r + 96*r. What are the prime factors of r? 3, 7, 467 List the prime factors of 4/28*(123 + 5876). 857 Suppose 6*m - 5829 - 6273 = 0. List the prime factors of m. 2017 Let t(j) = 52*j**3 - 2*j**2 + 4*j + 16. What are the prime factors of t(4)? 2, 13 Suppose -2*t = -g - 1050, -2*t - 4*g + 682 = -368. Let p = t + -285. List the prime factors of p. 2, 3, 5 Let w(m) be the first derivative of 11*m**3/3 - 2*m**2 + 21*m + 14. List the prime factors of w(6). 3, 131 Suppose 2*i + 5*q - 20 = 0, -4*i + 28 = q + 3*q. Suppose 332 = -i*x + 1427. What are the prime factors of x? 3, 73 Let q = -1581 - -2765. List the prime factors of q. 2, 37 Let r be 4 + 0/(-6) + -10. Let q(p) = -p**3 - p**2 + 3*p + 2. List the prime factors of q(r). 2, 41 Let d(t) = -417*t - 3352. List the prime factors of d(-43). 61, 239 Let v(z) = 4943*z - 1748. What are the prime factors of v(16)? 2, 3, 5, 1289 Let c = 9131 - 5164. List the prime factors of c. 3967 Let z(u) = -81*u**2 - 712 + 18*u + 87*u**2 + 692. What are the prime factors of z(5)? 2, 5, 11 Let v(s) = -3*s + 2. Let j be v(0). Suppose j*c - 2427 = 275. List the prime factors of c. 7, 193 Let o(n) = -n**2 - 149*n + 56. What are the prime factors of o(-62)? 2, 5, 109 Let k(u) = -2*u**3 - 129*u**2 - 78*u - 87. List the prime factors of k(-68). 5, 7517 Let f be 3/((-7)/434*-6). Let n = 90 - f. What are the prime factors of n? 59 Let n = 128 - 120. Suppose 9*v - n*v = 2. Let p(w) = 53*w + 21. What are the prime factors of p(v)? 127 Let o be ((-700)/(-16) - -1)*8/1. Let i = o - 53. Suppose i = 3*r - 4*h, -5*r + 0*r = 4*h - 455. List the prime factors of r. 5, 19 Let n(b) = -12*b**3 - 11*b**2 - 7*b + 21. What are the prime factors of n(-7)? 7, 521 Let f = 13403 - 7755. What are the prime factors of f? 2, 353 Suppose 849*t = 836*t + 133741 + 78926. What are the prime factors of t? 3, 7, 19, 41 Let y be 44/418 + 161817/57. Let l = y + -1235. What are the prime factors of l? 2, 401 Let n = -1271 + 1423. List the prime factors of n. 2, 19 Let n be 12*(12/(-4))/(-6). Let p(v) = 8*v - 4 - v**3 - v**2 + 2*v**2 - n*v**2. What are the prime factors of p(-7)? 2, 19 Let b(c) = c + 41. Let y be b(6). Suppose 3*g - 3*d - 4 = 8*g, -4*g = -5*d - 19. Suppose m - y = g. List the prime factors of m. 2, 3 Suppose -5*r + 25 = 0, 7*r - 44 = -3*p + 3*r. Suppose p*k = 1711 - 15. What are the prime factors of k? 2, 53 Suppose 3*w + 16 + 5 = 5*m, 4*m = -w + 10. Suppose m*h = -9 + 12. List the prime factors of (h - -7)*(-210)/(-12). 2, 5, 7 Let v(f) = f**2 - 4*f - 21. Let w be v(7). Suppose 4*d = -3*r + 1790, 5*d + w*r - 2228 = r. What are the prime factors of d? 2, 223 Let d(a) = a**3 + 17*a**2 - 38*a + 37. Let y be d(-19). Suppose y*j - 27039 + 880 = 0. List the prime factors of j. 7, 101 Let a(b) = -209*b + 1904. List the prime factors of a(5). 859 Let
{ "pile_set_name": "DM Mathematics" }
acement from ruxmxumcmrrupmu? 2/35 Calculate prob of picking 1 w and 1 m when two letters picked without replacement from wwmwwwwwwwz. 9/55 What is prob of picking 3 p and 1 m when four letters picked without replacement from {m: 4, p: 5, w: 3}? 8/99 Three letters picked without replacement from ifgfffggfifgiffgfigf. Give prob of picking 2 f and 1 i. 3/19 Three letters picked without replacement from {l: 2, i: 4, h: 1}. Give prob of picking 2 i and 1 l. 12/35 Four letters picked without replacement from xiiiiixiiii. What is prob of picking 4 i? 21/55 Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {g: 1, f: 4, w: 8}. 24/143 What is prob of picking 3 y when three letters picked without replacement from {y: 4, q: 1, h: 3}? 1/14 Three letters picked without replacement from bbbbaabbbbvbvbb. What is prob of picking 3 b? 33/91 Calculate prob of picking 2 j when two letters picked without replacement from {b: 9, j: 9}. 4/17 Three letters picked without replacement from pppppppxppppxppppppp. What is prob of picking 2 p and 1 x? 51/190 Two letters picked without replacement from {a: 8, h: 3}. Give prob of picking 2 a. 28/55 What is prob of picking 1 b and 1 z when two letters picked without replacement from joobksz? 1/21 Two letters picked without replacement from {l: 2, s: 2, z: 9, u: 1}. What is prob of picking 1 u and 1 l? 2/91 Four letters picked without replacement from {q: 2, a: 2, p: 3, s: 4}. Give prob of picking 3 p and 1 q. 1/165 Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {p: 2, d: 1, c: 2, g: 1, z: 1}. 2/35 Calculate prob of picking 2 i, 1 r, and 1 j when four letters picked without replacement from {w: 4, j: 5, r: 2, z: 3, i: 5}. 25/969 Two letters picked without replacement from mgoji. Give prob of picking 1 g and 1 o. 1/10 Three letters picked without replacement from {u: 4, h: 7, x: 2, v: 1}. What is prob of picking 2 x and 1 u? 1/91 What is prob of picking 1 i and 3 g when four letters picked without replacement from {c: 6, a: 6, g: 5, i: 1}? 1/306 Four letters picked without replacement from rrarrvrrrvra. What is prob of picking 2 v and 2 r? 28/495 Two letters picked without replacement from iixfyaxxiaahafaafyx. Give prob of picking 2 y. 1/171 What is prob of picking 2 e when two letters picked without replacement from {u: 2, e: 5}? 10/21 Two letters picked without replacement from cvpcmmkkmctpp. What is prob of picking 1 t and 1 c? 1/26 Calculate prob of picking 2 a and 2 i when four letters picked without replacement from {i: 6, a: 4}. 3/7 Four letters picked without replacement from {a: 1, r: 2, g: 1, v: 1}. Give prob of picking 4 g. 0 What is prob of picking 1 d and 1 e when two letters picked without replacement from {c: 2, e: 2, d: 1, b: 1}? 2/15 What is prob of picking 2 r and 1 y when three letters picked without replacement from rryrrrrr? 3/8 What is prob of picking 3 w when three letters picked without replacement from mmpnmmwwwpw? 4/165 Three letters picked without replacement from {f: 2, e: 1, y: 9, v: 1}. Give prob of picking 1 y, 1 f, and 1 e. 9/143 What is prob of picking 4 x when four letters picked without replacement from {u: 5, x: 15}? 91/323 What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 7, w: 2, d: 11}? 77/190 Calculate prob of picking 1 a, 1 e, and 1 y when three letters picked without replacement from {s: 3, a: 1, b: 2, w: 1, e: 3, y: 3}. 9/286 Two letters picked without replacement from gegfqgffeefffgq. What is prob of picking 1 q and 1 f? 4/35 Two letters picked without replacement from iioisiiswwsiowi. What is prob of picking 1 w and 1 i? 1/5 Four letters picked without replacement from xuazmzu. Give prob of picking 1 m, 1 z, and 2 u. 2/35 Four letters picked without replacement from {n: 2, i: 1, r: 1, u: 1, c: 2, v: 2}. What is prob of picking 1 v, 1 u, 1 i, and 1 n? 2/63 Three letters picked without replacement from mfwka. What is prob of picking 1 m, 1 w, and 1 a? 1/10 Three letters picked without replacement from waqwqwajjrqrjqaqjqjq. What is prob of picking 1 a, 1 r, and 1 q? 7/190 What is prob of picking 3 y when three letters picked without replacement from gkypgpkyggy? 1/165 Calculate prob of picking 1 t, 1 w, and 1 p when three letters picked without replacement from ummtpuupwuuuuuumu. 1/340 Two letters picked without replacement from {h: 3, b: 5}. Give prob of picking 2 h. 3/28 What is prob of picking 2 h when two letters picked without replacement from llmhlpm? 0 Three letters picked without replacement from fcffffiffcfcifcccff. Give prob of picking 1 i and 2 f. 110/969 Three letters picked without replacement from {r: 12, y: 7}. Give prob of picking 3 y. 35/969 What is prob of picking 1 j and 2 t when three letters picked without replacement from {y: 1, t: 11, j: 5}? 55/136 What is prob of picking 1 l, 1 e, and 2 x when four letters picked without replacement from xllxxsssxle? 3/55 Two letters picked without replacement from {z: 3, a: 6, y: 2, l: 1, g: 1}. Give prob of picking 1 l and 1 y. 1/39 Two letters picked without replacement from {i: 7, s: 3}. Give prob of picking 2 i. 7/15 Calculate prob of picking 2 j when two letters picked without replacement from daqjyjyp. 1/28 Three letters picked without replacement from kkkkzkzzzk. What is prob of picking 2 k and 1 z? 1/2 Two letters picked without replacement from jzgxzss. What is prob of picking 1 z and 1 x? 2/21 Calculate prob of picking 3 k when three letters picked without replacement from {k: 7, s: 1}. 5/8 Two letters picked without replacement from ddldddldddd. What is prob of picking 2 d? 36/55 What is prob of picking 2 c when two letters picked without replacement from {c: 5, w: 8}? 5/39 Calculate prob of picking 3 z when three letters picked without replacement from ozzzzoozozz. 7/33 Three letters picked without replacement from iiii. Give prob of picking 3 i. 1 Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {e: 3, q: 1, m: 1}. 3/10 What is prob of picking 1 j, 1 p, and 1 i when three letters picked without replacement from {m: 5, b: 2, p: 5, i: 1, k: 2, j: 5}? 5/228 Calculate prob of picking 1 l and 1 y when two letters picked without replacement from gyvyvykvylyg. 5/66 Three letters picked without replacement from rtllrtrlltatatrlrtt. What is prob of picking 1 r, 1 t, and 1 a? 70/969 Four letters picked without replacement from {p: 4, y: 2, x: 5}. What is prob of picking 1 p and 3 x? 4/33 What is prob of picking 1 k and 1 r when two letters picked without replacement from rrrrrrrrrrrkrrrkrrrr? 18/95 Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 2, l: 1, j: 1, n: 2}. 4/15 Four letters picked without replacement from {e: 7, v: 5, l: 7}. What is prob of picking 4 e? 35/3876 Calculate prob of picking 1 p and 1 g when two letters picked without replacement from fiipiffifgiigifik. 1/68 Four letters picked without replacement from zzzzz. Give prob of picking 4 z. 1 Four letters picked without replacement from wdddweddewwwtwtwtww. Give prob of picking 1 d and 3 t. 5/3876 Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {b: 1, s: 3, p: 10, n: 2}. 1/6 Four letters picked without replacement from ubavbuubbuobuattb. Give prob of picking 2 a, 1 b, and 1 u. 3/238 Four letters picked without replacement from iqqqmmqsiqmqqsi. Give prob of picking 2 m and 2 i. 3/455 Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {n: 1, r: 1, q: 4, b: 4, v: 1}. 1/55 Four letters picked without replacement from pppopppopppppopp. Give prob of picking 3 p and 1 o. 33/70 What is prob of picking 1 i and 1 v when two letters picked without replacement from tvctticittic? 1/22 Two letters picked without replacement from {v: 3, f: 6, d: 1, x: 2, w: 1, y: 2}. Give prob of picking 1 w and 1 v. 1/35 Two letters picked without replacement from effejvovvevvmjeejov. Give prob of picking 1 j and 1 f. 2/57 Three letters picked without replacement from atatattttttttttttttt. What is prob of picking 1 a and 2 t? 34/95 Two letters picked without replacement from nanaanannkanannnn. What is prob of p
{ "pile_set_name": "DM Mathematics" }
cond derivative of z(j) wrt j. -8538*j Let f(m) be the second derivative of 271*m**4/2 + 1573*m**3/6 - 671*m + 1. Find the second derivative of f(a) wrt a. 3252 Let d(r) be the third derivative of r**6/30 + 17*r**4/12 - 2407*r**3/3 + 2*r**2 - 1061*r - 2. What is the derivative of d(o) wrt o? 12*o**2 + 34 Let t(d) = 81*d**4 + 5*d**2 + 159. Let q(g) = -3*g**2 - 892*g**4 + 87 + 5*g**2 + 933*g**4 - 8. Let m(y) = 5*q(y) - 2*t(y). What is the derivative of m(p) wrt p? 172*p**3 Let f(p) be the second derivative of 25*p**4/12 + 8*p**3 - 1937*p**2 - 2*p - 294. What is the derivative of f(s) wrt s? 50*s + 48 Suppose w = -a + 6, -6*w = -7*w + 1. What is the second derivative of 57*r + 21*r**a - 137*r**5 + 33*r**5 wrt r? -1660*r**3 Let l(u) = 10*u**4 + 1142*u**2 - 7121*u + 8. Let d(q) = 4*q**4 + 381*q**2 - 2374*q + 3. Let r(v) = -8*d(v) + 3*l(v). Find the second derivative of r(j) wrt j. -24*j**2 + 756 Suppose -3*d + o = -3, -3 = -4*d + 4*o - 7. Find the second derivative of -275*i**d + 19*i + 7*i + 308*i**2 wrt i. 66 Let d(p) be the second derivative of -987*p**3/2 + 463*p**2 + 2086*p. Differentiate d(l) with respect to l. -2961 Let p(t) be the first derivative of -7*t**5 + t**4/2 - 46*t**3/3 - 9169*t**2/2 + 1701. What is the second derivative of p(l) wrt l? -420*l**2 + 12*l - 92 Let x(v) be the second derivative of -65*v**8/7 - 3*v**5/20 + 155*v**4/12 + v**2/2 - 885*v. Find the third derivative of x(m) wrt m. -62400*m**3 - 18 Let l(k) = 42*k**4 - 2*k**3 + 4*k + 33. Let u(s) = s**4 + s**3. Let a(q) = -l(q) - 3*u(q). Find the second derivative of a(x) wrt x. -540*x**2 - 6*x Let f be ((-166)/(-2))/((-23)/(-46)). Find the first derivative of f - 209 + 5*g + g wrt g. 6 Let c(l) be the third derivative of -l**5/30 - 341*l**4/24 - 209*l**3 - 124*l**2. Find the first derivative of c(x) wrt x. -4*x - 341 Let k(b) be the first derivative of -4550*b**6/3 + 247*b**3/3 - b**2/2 - 4*b + 11284. What is the third derivative of k(d) wrt d? -546000*d**2 Let b(k) be the second derivative of -43*k**7/14 - k**6/15 + 3*k**5/20 + k**4/12 + 1633*k**3/6 + 543*k. What is the third derivative of b(y) wrt y? -7740*y**2 - 48*y + 18 Suppose -5*f = -i - 17, 3*i - 11 = -5*f - 2. Find the second derivative of -6*h**2 + h**f - 81*h + 47*h - 25*h wrt h. 6*h - 12 What is the third derivative of 73*t - 73*t + 7256*t**5 - 50*t**3 - 6732*t**2 + 50*t**3 wrt t? 435360*t**2 Suppose -i = -5*i - 4. Let p be 2*(105/10 - (i - -5)). Find the second derivative of -28*h**4 - 8*h - 5*h + p*h**4 wrt h. -180*h**2 Let i(c) = -264*c**2 - 344*c - 20. Let z(f) = -f - 2. Let t(o) = -i(o) + 10*z(o). Find the second derivative of t(u) wrt u. 528 Let r(y) = y**3 - 14*y**2 + 3*y + 17. Let t be r(14). Let i be t - -9*(-4)/12. Differentiate -3345 + i*q**2 + 3343 - 16*q**2 wrt q. 80*q Let r(x) be the second derivative of 0*x**2 + 3*x + 16/3*x**3 + 47/12*x**4 - 21. What is the second derivative of r(i) wrt i? 94 Let j be 6/(-4)*(-210)/3. Let x be (-14)/j + 96/45. Find the third derivative of -10*y**4 - 2*y**x + 2*y**2 - y**2 - 7*y**2 wrt y. -240*y Let n(p) be the first derivative of p**3/3 - 2*p**2 - 19*p - 17. Let g be n(-3). What is the third derivative of -4*q**5 - 11*q**2 - 26*q**g - 16*q**5 wrt q? -1200*q**2 Let l be (40/(-600))/(16/(-36)). Let n(t) be the second derivative of 0 - l*t**5 - t + 0*t**3 + 7/12*t**4 + 0*t**2. What is the third derivative of n(a) wrt a? -18 Let k(a) be the first derivative of -4*a**5/5 - 3*a**4/4 + 2*a**3/3 - 124*a**2 + 1177. Find the third derivative of k(f) wrt f. -96*f - 18 Let w(r) = -333*r**4 + 2*r**3 + 8*r + 155. Let y(u) = u**4 + u**3 + 4*u - 2. Let b(i) = 2*w(i) - 4*y(i). Differentiate b(q) wrt q. -2680*q**3 Let z = 86 - 57. Let k = z + -25. What is the second derivative of 0*s - 2*s + 19*s**3 - 3*s**3 - k*s wrt s? 96*s Let x(k) be the second derivative of -k**6/6 + 153*k**5/20 + 1917*k**2 - 83*k + 17. What is the first derivative of x(f) wrt f? -20*f**3 + 459*f**2 Let n be (-16)/56 + 1*(-452)/(-14). Let r = -28 + n. What is the second derivative of -7*f**r - f + 19*f**5 - 35*f + 7*f**4 wrt f? 380*f**3 Suppose 0 = -331*a - 64 + 64. Let l(n) be the third derivative of -7/15*n**5 + 0*n**4 + a + 0*n + 8/3*n**3 - 23*n**2. What is the derivative of l(x) wrt x? -56*x Let y(m) = 62*m**2 - 23*m - 9. Let p(r) = -10*r**2 + 0*r**2 - r + 9*r**2 + 2. Let k(c) = 5*p(c) + y(c). Find the second derivative of k(u) wrt u. 114 Differentiate 196*q**2 - 4370 + 9*q**2 - 41*q**2 + 42*q**2 - 2*q with respect to q. 412*q - 2 Let y be (-2)/10 - 768/60. Let w(z) = -7*z**2 + 17*z - 149. Let j(m) = 15*m**2 - 36*m + 300. Let l(k) = y*w(k) - 6*j(k). Differentiate l(g) wrt g. 2*g - 5 Suppose 0 = -5*a - 2*v + 495, -4*v = 5*a - 4*a - 99. What is the second derivative of -358*z - 83*z**4 + 195*z + a*z wrt z? -996*z**2 Suppose 7*q + 456 = -27. Let w = -64 - q. Find the first derivative of 18 - 9 - 21*i**2 + w*i**2 wrt i. -32*i Let y(u) be the third derivative of -2*u**2 + 0*u**6 + 47/105*u**7 - 13/24*u**4 + 12*u + 0*u**3 + 0 + 0*u**5. What is the second derivative of y(c) wrt c? 1128*c**2 Suppose -3*x + 5*t = -108, 25 = -x + 3*t + 61. What is the second derivative of 28*y - 111*y**2 + 3 - x*y - 59*y - 189*y**2 wrt y? -600 Let m(k) = k**3 + k - 1. Let c(w) = -4*w**4 + 5*w**3 + 10*w - 51. Let t be 6 + (-12)/2 + 5. Let i(p) = t*m(p) - c(p). What is the derivative of i(n) wrt n? 16*n**3 - 5 Let j(p) be the third derivative of 37*p**8/48 + 61*p**5/2 - 4298*p**2. What is the third derivative of j(s) wrt s? 15540*s**2 Let c = -547 - -566. Suppose -5*o = 0, -3*u + o + 0*o = -3. What is the second derivative of 1 - u - 19*r + 22*r - c*r**2 wrt r? -38 Let w(o) be the first derivative of 2105*o**4/4 - 826*o - 347. Differentiate w(k) wrt k. 6315*k**2 Let t = -484 + 486. What is the first derivative of -77 + 579*y - 579*y - 65*y**t wrt y? -130*y Find the first derivative of -62*t**2 - 896*t**2 + 0*t - 4659 - 223*t**2 + 0*t wrt t. -2362*t What is the second derivative of -1088*j - 224*j**4 + 105*j**4 + 120*j**4 + 89*j**2 wrt j? 12*j**2 + 178 Let x(p) be the first derivative of -8*p**3/3 + 2315*p + 1621. Differentiate x(l) wrt l. -16*l Let x(c) = -4240*c**3 + 1274*c**2 - 18*c - 8. Let q(v) = -1413*v**3 + 426*v**2 - 7*v - 3. Let n(j) = 8*q(j) - 3*x(j). Find the third derivative of n(w) wrt w. 8496 What is the first derivative of 5619*q**2 - 11188*q**2 - 2437 + 6674*q**2 wrt q? 2210*q Let q = 35 + -32. What is the third derivative of 3*m**4 - 53*m**2 - 4*m**q + 104*m**2 - 37*m**2 + 2 wrt m? 72*m - 24 Let g(i) be the second derivative of 2*i + 0*i**5 + 95/3*i**3 - 1/6*i**4 + 36 + 37/30*i**6 + 0*i**2. What is the second derivative of g(x) wrt x? 444*x**2 - 4 Let z(w) be the second derivative of 3*w**6/10 - 19*w**3/3 - 961*w**2/2 - 3731*w. Find the first derivative of z(g) wrt g. 36*g**3 - 38 Let m(j) = 1302*j**2 - 83*j - 4. Let h(f) = -3923*f**2 + 249*f + 11. Let b(y) = -3*h(y) - 8*m(y). Find the second derivative of b(l) wrt l. 2706 Let f(b) be the first derivative of 8*b**3 - 18*b**2 + 72*b - 77. Let g(x) = x**2 - 1. Let j(k) = -f(k) - 72*g(k). What is the second derivative of j(d) wrt d? -192 Let v be (-4 - 5) + -1 + 1. Let j be 176/99 + (-2)/v. What is the derivative of -j*l**2 - 8*l**2 - 5*l**2 - 15 wrt l? -30*l Let a(f) be the third derivative of 179/336*f**8 + 0*f**7 + 0*f**4 + 0*f - 177*f**2 - 2/15*f**5 + f**3 + 0*f**6 + 0. What is the third derivative of a(r) wrt r? 10740*r**2 Let i(q) be the second derivative of 2515*q**3/2 + 2625*q**2/2 - 10566*q. What is the derivative of i(x) wrt x? 7545 Let p(l) = -l**3 - 9*l**2 + 14*l - 8. Let g be p(-15). Let q be 2/8 + (-285)/(-12). What is the third derivative of 1132 - g - q*b**2 - 20*b**3 wrt b? -120 Let o = -57 + 69. Let j be (1 - 1/2)/(2/o). Find the first derivative of -j*a**2 + 5 + 0*a**2 - a**2 wrt a. -8*a Let v(o) be the first derivative of -14*o**6/3 + 15*o**4/4 + 37*o**2/2 - 11*o + 387. Find the second derivative of v(q) wrt q. -560*q**3 + 90*q What is the second derivative of -330 - 392*u**3 + 1260*u**3 + 3*u + 4574*u**3 wrt u? 32652*u Let h be 8/52 - (-2)/(26/3287). What is the first derivative of 187 - h - s**2 - 130 + 58*s**3 wrt s? 174*s**2 - 2*s Let n = 1 - -1. Let x be 168/105*25/2. Find the second derivative of 11*q**2 + x*q**4 + 3*q - 14*q - 11*q**n wrt q
{ "pile_set_name": "DM Mathematics" }
et k(m) = 33*m + 1. Is k(b) a composite number? False Let q = 51 - 79. Let x = -28 - q. Suppose x = 2*o - 0*o - 452. Is o prime? False Suppose -2*q = 0, 4*q + 8947 - 482 = 5*s. Is s composite? False Suppose -9 + 4 = -c - 5*r, c = 3*r + 5. Suppose c*o - 10*o = -5. Is ((-5)/(-10))/(o/66) prime? False Let h(p) = -168*p**3 - 3*p**2 + 7. Let o be h(-2). Suppose -v + 1266 + o = 0. Is v composite? True Let w = 995 - 710. Let n = 704 - w. Is n composite? False Let h = -2 + 29. Is (-8)/(-2) + (h*26 - 5) a prime number? True Let l = 31391 + -14872. Is l composite? False Let m be ((-6)/(-18))/((-1)/(-207)). Let b(k) = -5*k - 3*k + 11*k + 85*k**2 + 1 + m*k**2. Is b(-2) a prime number? False Suppose -237106 = -7*j - 29465. Is j a prime number? True Let w(m) = m - 7*m**3 - 77 + 78 - m - 3*m**2. Is w(-9) a prime number? True Suppose -16 = -4*h, 2*c + h - 4354 = 2*h. Is c a prime number? True Let m(i) be the first derivative of 3*i**2/2 - 2*i - 2. Let p = -9 + 17. Is m(p) a composite number? True Let z(u) = -84*u - 6. Let h be z(-8). Suppose 526 = 8*s - h. Is s prime? True Let a(x) = 8*x**2 - 6*x + 1. Let h be a(6). Suppose -3*v = n + 83, -n + 2*v = 6*v + 78. Let t = h + n. Is t a prime number? False Let a be ((-9)/4)/((-51)/(-952)). Let d be (-3124)/33*a/4. Let k = 559 + d. Is k a prime number? True Suppose -3*a - 12*a = -366465. Is a composite? True Is -1 - (37128/(-2) - (55 + -59)) prime? False Let g = 2 - -3. Suppose -g*i - 5*j + 30 = 0, -i - 2*j + 14 = j. Suppose 2*w = -4, k - i*w - w = 155. Is k a prime number? True Let p(u) = u**3 + 9*u**2 - u + 4. Suppose -24*z = -21*z - 21. Is p(z) prime? False Let b = -11 + 26. Suppose 4*a - 63 + 23 = -4*j, j - 4*a = -b. Suppose -q + 6*q = j*c - 140, -5*c = -4*q - 137. Is c composite? True Let o = 102 - 95. Let h(z) = 8*z**2 - 5*z - 20. Is h(o) a composite number? False Let m(g) = 3*g**2 - 2*g + 2. Let q be m(1). Suppose 2 + 10 = 4*a - 4*s, -q*s = 4*a + 23. Is 1 + a + 1 + 33 prime? False Suppose 35*t - 12804 - 24751 = 0. Is t a prime number? False Let t = -978 - -1373. Is t a prime number? False Suppose -4*w - 3*i - 6800 = 0, -w = 4*i - i + 1700. Is 3 + (w/(-6))/(6/18) a prime number? True Suppose 264 = 5*k + 84. Suppose -3*u + 4*h + 1291 = 0, -5*h + 935 = 2*u + k. Is u prime? False Let k = -75 + 75. Suppose -2*q + 911 + 1075 = k. Is q a composite number? True Suppose -6*k - 17 - 19 = 0. Let u(o) = -3*o**3 + 5*o**2 + 2*o - 7. Is u(k) a composite number? False Suppose 2*y = 10*c - 8*c + 11040, 0 = -3*y - c + 16540. Is y a composite number? True Suppose 3*g - 47881 = 4*k, 5*g = -5*k + 35566 + 44224. Is g a composite number? False Is (-9)/((-1377)/306782) - (-1)/(-9) a composite number? True Suppose -3*h - 1884 = -5*h + 2*i, 3*h - 2831 = -2*i. Is h a prime number? False Let a be (2/(-4))/(4/(-344)). Suppose a - 383 = -5*l. Let q = 105 - l. Is q a prime number? True Let z = -14 + -16. Let u be -5 + 6 + z/(-2). Is 2*-22*(-116)/u composite? True Let q(b) = 128*b - 1. Suppose 11*n = 7*n + 4. Is q(n) a composite number? False Let c = 42529 + -21894. Is c a composite number? True Suppose -3*k = -5*k + 4*r + 16, 2*k - r - 4 = 0. Suppose k = -f + 4. Suppose 0*d = f*d - 236. Is d a prime number? True Suppose 2*g - 26039 = -5*x, 3*x + 2251 = 5*g + 17893. Is x a prime number? True Let m = -83 - 116. Let p(v) = -v**3 + 4*v**2 - 7*v. Let n be p(6). Let k = n - m. Is k a composite number? True Suppose 15 = f - 5*j, 2*f + j - 25 = 5. Is f/35 + 19500/21 a composite number? False Suppose 4*h + 74 + 10 = 4*n, -5*h = n + 123. Let y = 42 + h. Suppose -12 - y = -3*c. Is c a prime number? False Let h be (-15 - -1) + (0 - -1). Let n = 2 + h. Let b = n + 94. Is b composite? False Let d(n) be the third derivative of -13*n**7/560 + n**6/360 - 11*n**5/60 + 4*n**2. Let i(h) be the third derivative of d(h). Is i(-5) a prime number? True Suppose 0 = 4*m - 10*m + 30. Suppose -v - 5936 = -m*i, 632 = i - v - 556. Is i composite? False Suppose -53 + 38 = -5*y. Let s(o) = 11*o**3 - 2*o**2 + 2*o + 6. Is s(y) composite? True Suppose -2*u - 2*h = -10, -2*u + 0*h - h = -9. Suppose 3*r = 2*s - 425, -r + u*r = -s + 190. Is s composite? True Let c(w) = 13*w**2 + 2*w - 4. Let d be c(8). Suppose -13*f - d = -15*f. Is f composite? True Suppose -g - b = -19846, 2*g - 6*b = -3*b + 39667. Is g prime? True Let x(o) = o**2 - 6*o + 3. Let a be 9/1*(-12)/(-36). Let u be x(a). Is ((-7)/(-3))/(u/(-90)) prime? False Suppose -11*d + 7*d = 0. Suppose -4*w + d*w = 4*z + 12, z = 4*w - 13. Is 1055/z*(-1 + 0) prime? True Suppose 0 = -24*x + 58*x - 59636. Is x a composite number? True Let y(x) = x**2 + 9*x + 9. Let r be y(-8). Let n be (0 - 7) + 2 - r. Is (-380)/(-3) + (-2)/n a composite number? False Let j = 15 - -32. Suppose 4*s - 60 = 5*n + j, s = -5*n + 8. Let u = s + -12. Is u composite? False Suppose 0 = -5*a + 4*o + 4285, -3*a - 7*o + 2549 = -5*o. Is a prime? True Let z(b) = 5*b - 16. Let o be z(5). Suppose 0 = -o*c + 2438 - 431. Is c a prime number? True Suppose -5*v + 1895 = 5*m, 1516 = 4*m - 19*v + 15*v. Is m a prime number? True Let t be ((-5)/2)/(3/(-6)). Suppose t*l = -4*b + 691, -688 = -4*b - l - 3*l. Is b a prime number? False Let m = -578 - -6135. Is m composite? False Let v(n) = 55*n**2 + 6*n - 6. Is v(5) a prime number? True Let l(o) = 111*o + 9. Let g(m) = 14*m + 1. Let f(r) = 33*g(r) - 4*l(r). Suppose 0 = -29*k + 40*k - 55. Is f(k) prime? False Let c(a) = -4*a**3 - a**2 - a. Let s be c(-1). Suppose -4*d - 3909 = -5*g, -2*d + 235 = -s*g + 3367. Is g a composite number? True Let d = -97 - -92. Is 2/d + 44/10 - -115 a composite number? True Let s = 29100 - 16661. Is s a prime number? False Suppose 0*z + 3*f + 33 = -3*z, 0 = -z + 4*f + 14. Let u(h) = 20 - 17 - 11*h + 2*h - h**2. Is u(z) composite? True Let o = 11300 + -3393. Is o prime? True Is (-2 - 3671)*10*(-3)/6 composite? True Let w(n) = -2*n**2 + 6*n + 12. Let l be w(6). Let j be (-2 + l)*(-9)/(-2). Let q = j + 232. Is q prime? False Is 15/(-75)*(3 + -40738) a composite number? False Let q(u) be the second derivative of -33*u**5/20 + 5*u**4/12 + u**3/3 - 7*u**2/2 + 4*u. Is q(-3) composite? True Let n(g) = 8*g**2 + 7*g - 17. Let q be n(9). Suppose 2*k - 355 = -5*s + 327, k = 5*s - q. Is (4 - 6 - -5) + s composite? True Let a = -322 + 711. Is a prime? True Let g(t) = t**3 - 12*t**2 + 20*t + 4. Let c be g(10). Suppose u - 477 = 3*p + 239, 0 = -c*p - 12. Is u a prime number? False Suppose h - 1166 = c + 1477, 5*c = 5. Suppose -h = 5*k - 2*b, -3*k - 2104 = k + 4*b. Let z = 779 + k. Is z a prime number? True Suppose 0*x - 8 = 2*x + 4*h, -h - 29 = 5*x. Let b(f) = -221*f - 67. Is b(x) composite? False Is ((-367)/(-5))/(21/(-63))*-5 a prime number? False Let i(r) = -r - 2 + 3 + 0*r + 7*r**2 - r. Let y be i(1). Is ((-40)/y)/((-8)/12) composite? True Let z(t) = -t + 7. Let j be z(3). Suppose -o + j*o = 336. Let a = 315 - o. Is a a composite number? True Let r(t) = t**3 + 3*t**2 + 3*t. Let a be r(-2). Let w(p) = 78*p**2 - 5*p - 5. Is w(a) a prime number? True Let d be 9/3 + 0/(-2). Let w(u) be the third derivative of u**6/30 - u**5/20 - u**4/8 + 7*u**3/6 - 32*u**2. Is w(d) prime? True Suppose 3*r + 5*t + 3 = -r, 0 = 4*r - 5*t - 27. Let s be 3 + (r - 3) + -5. Is ((-1)/(-3))/(s/(-90)) composite? True Let v(y) = 282*y - 161. Is v(12) a composite number? True Let p(g) = 9*g**2 + 7*g + 13. Let i be ((-4)/5)/((-8)/(-60)). Is p(i) a prime number? False Let v(x) = 14014*x + 523. Is v(5) prime? False Let k(a) be the third derivative of a**5/60 - a**4/12 + 889*a**3/6 - 3*a**2. Is k(0) prime? False Suppose -3*a - 220051 = -4*l, 78*l - 75*l = 5*a + 165030. Is l composite? True Let u(l) = 250*l - 3. Let b(v) = v + 8. Let m be b(-6). Suppose -m*r = r - 6. Is u(r) prime? False Let z = -166 + 1548. Is z composite? True Suppose 0 = 6*y - 11*y - 20. Let r be (-3)/((-18)/y)*-3. Suppose 5*m + l - 108 = r*m, -2*l = 2*m - 68. Is m a composite number? False Let u be (804/(-10))/((-108)/17640). Suppose 9048 = 20*a - u. Is a prime? True Let m(a) = 33*a**2 - a + 2. Let r be m(-2). Let g(t) = 26*t + 21. Let h be g(-4). Let q = h + r. Is q a composite number? False Let c(r) = 197*r**2 + r + 1. Let b be c(-3). Suppose 12*l - b = 1409. Is l a prime number? False Suppose -n - 6*t - 4 = -t, 24 = n - 2*t. Let g be n/56 + 38/14. Suppose -g*m + 40 =
{ "pile_set_name": "DM Mathematics" }
value in -2/11, -1/5, -1/2, h? -1/5 Let y = -455 + 459. Which is the second smallest value? (a) y (b) 0.07 (c) 1 c Let o be 0 - (2/3 + 1). Let y = -0.136 - 5.764. Let f = -3.9 - y. Which is the biggest value? (a) -1 (b) f (c) o b Let c = -448 - -2249/5. What is the biggest value in -2/9, 9, 5, c? 9 Let u = -1/46 - 87/230. Suppose -2*z + 6*f = 2*f, 2*z = f - 3. Which is the biggest value? (a) 0 (b) u (c) z a Let p = -746.9 - -747. Let l = -2 - -1.9. Which is the third smallest value? (a) 9 (b) l (c) p a Let q = 57.87 + -68.6. Let j = q - 0.27. Let o = j - -10. What is the biggest value in 0.4, o, 0.2? 0.4 Let q be (4/48)/((-1)/(-4)). Let p = -0.15 - -3.15. What is the second smallest value in q, -0.2, p, -4? -0.2 Let s = -3.08 - -2.6. Let p = -27.02 + s. Let x = 27 + p. Which is the smallest value? (a) 2/13 (b) x (c) 12 b Let r = 56 + -16. Let l = r + -39.4. Which is the biggest value? (a) -3 (b) l (c) 2/5 (d) -2 b Suppose 3*d + 4*a = -0*d - 30, 2*d - 4*a = 0. Let q = -2/39 - -8/39. What is the smallest value in d, q, -1/2? d Let l = -463 - -466. Let x = 0.16 - 8.16. What is the third biggest value in l, x, 1/2? x Let w be (2/(-33))/(9/(270/20)). Which is the biggest value? (a) w (b) 2/9 (c) -4/3 (d) -3 b Let z = -198 - -201. Suppose -f - 8 = 4*f - 4*n, -n = 2*f - 2. Let h = f + -3. What is the biggest value in h, 1/3, z? z Let q = -1 + 6. Let s(x) = x**2 - 9*x + 4. Let w be s(8). Which is the third smallest value? (a) q (b) w (c) 4 a Let f = 93.95 - 92. Let c = -0.05 - f. What is the second smallest value in c, -1, -0.4, 2? -1 Let r = -18 - -17. Let f = 26/3 - 107/12. What is the third smallest value in f, r, -2, -5? r Let p = -928 + 929. What is the third smallest value in -1/2, 5, p? 5 Let n = 662.8 + -663. Which is the smallest value? (a) n (b) -0.01 (c) -0.5 (d) 5 c Let k be ((-9)/18)/(2/40). Let d = k - -15. Suppose -3*a - 6 = 9. What is the third smallest value in d, a, 0.5? d Let r = -204 - -138. Let v = 66.5 + r. Which is the smallest value? (a) -0.1 (b) -25 (c) v (d) 5 b Let k = -1333 - -1332.8. Which is the second smallest value? (a) -1/3 (b) -49 (c) k a Let x = -7 - -6. Let y = -0.75 - -0.75. Let t = -2 - -9/5. Which is the second biggest value? (a) x (b) t (c) y b Let g = -0.93 - -78.93. Let x = g + -78.5. Suppose 10 = 2*n, -2*n + 23 = -i + 3*n. Which is the third smallest value? (a) x (b) i (c) -0.4 b Let d = -7 + 10. Let t(l) = -8*l + d*l + 4*l. Let k be t(4). Which is the third smallest value? (a) k (b) -3 (c) 1/3 c Suppose 3*k + 28 = 5*o, -4*o = -0*o - 3*k - 23. Let l = 212 - 209. Which is the third smallest value? (a) 8 (b) l (c) o a Suppose 79 = 46*n - 105. What is the third smallest value in n, -3, 13? 13 Let x = -9 - -8.2. Let n = 29 - -28. Let q = 57.1 - n. Which is the third biggest value? (a) -0.1 (b) x (c) q b Let i be 9 - (-1)/(2/(-2)). Let w = -18.25 - -18. Let u = 0.25 - w. What is the second smallest value in 2, i, u? 2 Let u = 12 - 49/4. Let m = 3.874 - -0.126. What is the second smallest value in m, u, 2/3? 2/3 Let a be (-2)/(-3) - (66/27*1 - 2). Let p be (2 - 0)*(-3)/(-8). What is the second biggest value in 2, a, p? p Let p be (7/(70/(-6)))/(0 + 1). Let v be (-158)/(-180) + 4/18. Let z = p + v. Which is the second smallest value? (a) z (b) -3 (c) 3 a Let s = 8.5 - 8.4. Which is the fourth biggest value? (a) s (b) -0.08 (c) -2/3 (d) 6 c Let d(c) = 8*c**2 + 2*c - 23*c**2 + 4 + 14*c**2. Let w be d(3). Let p = -0.34 + 0.24. What is the biggest value in w, 0, p? w Let y be (1/6)/((-45)/23160). Let s = y - -12097/36. Let h = 249 - s. What is the third smallest value in 1, h, -3? 1 Let h = 3488/3263 - -2/251. Which is the second biggest value? (a) 3 (b) h (c) -1 b Let y(x) be the first derivative of -x**4/4 + 5*x**3/3 + 7*x**2/2 - 10*x - 43. Let k be y(6). What is the third biggest value in k, -0.05, 0? k Let l = 29 - 25. Let k be l/6 - 160/132. Let z = k - -52/55. What is the second smallest value in -0.1, z, -4? -0.1 Let z(g) = -g - 6. Let v be z(-1). Let c be ((-9)/12)/(15/8). What is the third smallest value in 8, v, c? 8 Let u = 1657/6755 + 39/965. Let g = 192/35 + -44/7. What is the second biggest value in g, -2/5, u, -1/2? -2/5 Let r be (-2)/(12 - 152/16). Which is the smallest value? (a) r (b) -3/4 (c) -2 (d) 0.04 c Let w = 15 - 14.1. Let z = 0.01 + 0.09. Let k = z + w. Which is the third smallest value? (a) k (b) 5 (c) -2 b Let i = 10/9 - 4/9. Suppose -2*p - 3*f - 11 = 0, p + 4*f = 17 - 35. What is the third biggest value in p, i, -2/3? -2/3 Let x = -406 - -411. What is the biggest value in 1/6, 3, x, -0.5? x Let o = -89.042 + 0.042. Let d = o + 89.5. What is the smallest value in d, -4, -4/11, 5? -4 Suppose -k - 5*a - 6 + 16 = 0, 0 = -2*k + 2*a - 4. Let o be 33/27 + (k - 1). Let g = -14 - -57/4. What is the second biggest value in -0.5, o, g? o Let i = 0.08 + -1.08. Let z(w) = 4*w**2 - 3*w + 1. Let t be z(3). Let d be (-2)/5 - t/(-105). What is the second smallest value in d, i, -4? i Let k = 43 + -39. Suppose 2*p = 5*r + 5, -p + 2*r = -r - 4. Let g = p + k. Which is the third biggest value? (a) 4 (b) -3/4 (c) g c Let n(y) = 5*y**3 + 2*y**2 + 2*y - 2. Let k be n(-2). Let z be (2 + k/18)*-6. Let q = 41 - 371/9. Which is the biggest value? (a) z (b) q (c) 3/5 a Let d = 337 + -328. Which is the biggest value? (a) -3 (b) d (c) -3/2 b Let k = 0.3 + -4.3. Suppose -3*i = 3*i - 60. Let y be 0 - 1 - i/(-6). Which is the smallest value? (a) 2/19 (b) y (c) k c Suppose -17 = -4*s + f, 7*s - 6*s + 2*f - 2 = 0. Suppose -3*n - 2*n - 20 = 0. Which is the second smallest value? (a) -2 (b) n (c) s a Let g be (-10)/(-55) - (-5)/(-88). Let d = -10 + 65. Let y = 115/2 - d. Which is the biggest value? (a) y (b) g (c) -2/3 a Let q = -0.13 + 0.04. Let a = q + 1.59. Let c = -1.5 - a. What is the smallest value in c, 0, 2/3? c Let i = -5.4 - -8.1. Let h = i - 2.6. What is the biggest value in -1, -4, -3, h? h Let t = 0.724 + -0.424. Which is the third smallest value? (a) t (b) 98 (c) 1/6 b Let h = -27 + 31. Let t be h/(-102)*6/2. What is the third smallest value in 0.5, t, 4? 4 Let b = 259 + -8549/33. What is the second smallest value in b, -1/4, 3, 1/6? b Let m = 1332 + -1330. Suppose s = -2*s - 3. What is the biggest value in s, m, 4? 4 Let w be (-2 - 42/(-12))*10/195. What is the fourth smallest value in w, 0.4, 7, -1? 7 Let b = 1520 - 1523. Let f = 0.2 + -0.4. What is the third smallest value in -1.1, f, b? f Let v = -1/7628 + 477/1907. Let l = 2 + -3. Suppose 0 = -4*u - 0*u + 12. What is the smallest value in l, v, u? l Suppose 6 = 4*l - 2*q, 4*l + 4*q + 19 = q. Which is the third smallest value? (a) l (b) 18 (c) 1/2 b Let q(s) = -s**2 + 11*s + 64. Let l be q(-4). Which is the biggest value? (a) -0.3 (b) -2/7 (c) l c Let w be 3/(-9) + 472/264. Let k = 1/465 + -8381/5115. Let n = w + k. Which is the biggest value? (a) -0.2 (b) n (c) 4 c Let w = -3.84 + 1.54. Which is the second smallest value? (a) w (b) 0.1 (c) 2 b Let n(a) = a**2 + 2*a + 1. Let p be n(-1). Suppose p = 2*z + 2*z. Let f be 0/5 + 3/(-7). What is the smallest value in z, 5, f? f Suppose -2*f = 11 + 7. Let s = -43 - 13. Let y be 3/5 + 5/(50/s). Which is the smallest value? (a) f (b) y (c) 3/2 a Let n(m) be the third derivative of m**6/30 - m**4/24 - m**3/6 + 5*m**2. Let d be n(-1). Let b = d + 9. What is the third biggest value in 1/2, b, 1? 1/2 Let a = 3.4 + -1.4. Let x = 2.2 - a. What is the third biggest value in 0, x, 0.3? 0 Let h = -3.5 + 3.6. Let a = h - 4.1. Let w be (-1 + (-27)/(-21))/(-1). What is the biggest value in w, 0.2, a? 0.2 Let p = -1280/9 - -142. Let h = -0.135 - 0.465. What is the second smallest value in 0.1, p, h? p Let h = 1130/9 + -126. Suppose -387 = 3*o - 75. Let i be (-16)/o + 2/(-13). Which is the second smallest value? (a) 0.3 (b) h (c) i c Let n be 33/132 + 6*(-5)/(-8). What is the second biggest value in -7, n, -0.1, 0? 0 Let c = 358 - 360. What is the second biggest value in c, -1/13, 3? -1/13 Let u = 34 - 33.66. Let a = u - 2.34. What is the second biggest value in a, -0.9, 3? -0.9 Let n = 50677/7 + -289601/40. Let u = n + 3/56. Which is the biggest value? (a) 5 (b) 4/9 (c) u a Let o = -651 - -652. What is the fourth smal
{ "pile_set_name": "DM Mathematics" }
= -3*w**2 - 483*w. Determine n(p(y)). -12*y**4 + 966*y**2 Let p(d) = -21*d. Let h(b) be the second derivative of -5*b**4/6 + 5*b + 48. Calculate h(p(r)). -4410*r**2 Let k(o) = 7*o + 1. Let n(b) = -37*b. Give n(k(y)). -259*y - 37 Let s(l) = -24*l**2 + 67*l. Let t(b) = -16*b. What is t(s(f))? 384*f**2 - 1072*f Let m(c) = -3*c**2. Let v(o) = -1829868*o**2. Give v(m(t)). -16468812*t**4 Let m(x) = 2*x. Let q(z) be the first derivative of -z**6/360 - 13*z**3/3 - 9. Let n(g) be the third derivative of q(g). What is n(m(r))? -4*r**2 Let r(p) = -5*p - 16*p + 23*p. Let c(f) = 7*f**2. Let w(g) = -7*g**2. Let s(x) = -7*c(x) - 6*w(x). Give s(r(d)). -28*d**2 Let r(m) = 2*m**2. Let s(w) = w**3 + 12*w**2 - 3*w - 30. Let k be s(-12). Let i(h) = k*h - 2*h - 6*h - 3*h. What is i(r(f))? -10*f**2 Let l(v) = 41*v**2. Suppose 5*u = -5*x + 340, 2*x + 201 = 3*u + 6*x. Let h(y) = u*y**2 + 64*y**2 - 200*y**2 + 67*y**2. Give h(l(g)). 3362*g**4 Let q(j) = j - 5. Let d(c) = -136*c - 44. Give d(q(y)). -136*y + 636 Let j be (6/(-15))/(8/(-400)). Let f(k) = j*k + 10*k - 34*k. Let q(p) be the first derivative of p**2 - 1. Calculate f(q(g)). -8*g Let h(m) = -51*m. Let a(r) = 55*r**2 + 44*r + 66. Let c(l) = -18*l**2 - 14*l - 21. Let s(b) = 7*a(b) + 22*c(b). What is s(h(f))? -28611*f**2 Let b(k) = -110*k + 108. Let d(z) = z. Calculate d(b(r)). -110*r + 108 Let b(h) be the second derivative of h**4/4 + h. Let q(c) be the second derivative of -c**4/4 + 516*c. Determine b(q(k)). 27*k**4 Let m(x) = -15*x**2 + 17*x. Let w(z) = -3940*z. Determine m(w(n)). -232854000*n**2 - 66980*n Let p(r) = -2*r**2 + 33 + 3*r**2 - 307. Let n(z) = -z**2. Determine p(n(l)). l**4 - 274 Let i(x) = -10*x - 14*x + 3*x + 4*x. Let y(h) be the first derivative of -h**3/3 + 5. Give i(y(m)). 17*m**2 Let f(x) = 36*x. Let y(a) = -1179*a**2. What is y(f(j))? -1527984*j**2 Let c(f) = -2*f**2 - 1. Let k(y) = 2878*y**2. What is k(c(m))? 11512*m**4 + 11512*m**2 + 2878 Let r(m) = 217*m + 62*m + 189*m + 265*m - 1065*m. Let f(p) = -2*p. What is f(r(u))? 664*u Let v(a) = -388*a**2 - 2. Let c(z) = -9*z**2. Calculate v(c(d)). -31428*d**4 - 2 Let y(s) be the first derivative of -17*s**2/2 + 300. Let o(z) = 13*z. Calculate o(y(g)). -221*g Let c(z) = 1. Let q(m) = -5*m - 4. Let t(p) = -6*c(p) - q(p). Let j(s) = -12 + 12 + s**2. Calculate j(t(n)). 25*n**2 - 20*n + 4 Let m(v) = 5*v. Let q(i) = 8*i - 18*i - 25*i - 25*i. Calculate m(q(p)). -300*p Let t(h) = 18*h**2. Let l(j) be the third derivative of -j**5/10 - j**2 + 28*j. Determine t(l(v)). 648*v**4 Let i(v) = 90*v + 37*v + 179*v - 51*v. Let l(g) = g. Determine l(i(y)). 255*y Let f(r) = -7*r. Let l(v) = -v + 18. Let s be l(17). Let o be s/(-2) - 30/(-12). Let b(g) = 2 - o*g - 2 + 0*g. Determine f(b(a)). 14*a Let d(x) = 31*x. Let w(c) = -142*c - 1. What is d(w(j))? -4402*j - 31 Let h(p) = -p**2 + 14. Let z(l) be the second derivative of 1/12*l**4 + 0*l**2 + 0 + 0*l**3 + 5*l. What is h(z(q))? -q**4 + 14 Let u(z) be the third derivative of -z**4/24 + 4*z**2. Let h(y) be the first derivative of 0*y + 0*y**2 + 13 + 1/3*y**3. What is h(u(t))? t**2 Let i(b) = b. Let k(c) = 12*c - 1409. Give i(k(h)). 12*h - 1409 Let t(n) = 5*n. Let y(d) = -6917*d. Give y(t(g)). -34585*g Suppose 3*z = 2*z + 7. Let b be 50/18 - 10/(-45). Let o(v) = -9*v**2 + b*v**2 + z*v**2. Let u(d) = 6*d**2. Determine o(u(t)). 36*t**4 Let o(m) = 2*m. Let p(f) be the second derivative of 0 - 23/24*f**4 + 1/2*f**2 + 0*f**3 - 9*f. Let q(l) be the first derivative of p(l). What is o(q(v))? -46*v Let b(q) = -2*q**2 + 7. Let f = 38 - 29. Let g(a) = 23*a**2 - f*a**2 - 15*a**2. What is b(g(n))? -2*n**4 + 7 Suppose 6*j = j + 30. Let g(x) = -4*x + 14*x - 2*x - j*x. Let u(f) = 5*f**2 - 3 + 3. What is g(u(y))? 10*y**2 Let g(x) = 7*x**2. Let f(t) = 3*t - 2. Let j(i) = 37*i**2 + 17*i - 10. Let d(c) = -5*f(c) + j(c). Give d(g(s)). 1813*s**4 + 14*s**2 Let x(m) = 18*m**2 - 2*m + 0*m + 2*m. Let c(t) be the third derivative of -t**5/30 - 29*t**2 - 4. Determine c(x(r)). -648*r**4 Let h(a) = 2*a. Let f(k) = -16968*k. Determine f(h(l)). -33936*l Let b(z) = 59*z**2 + 1. Let p(j) = -18*j - 50. Let a(g) = -143*g - 390. Let k(q) = 5*a(q) - 39*p(q). What is k(b(d))? -767*d**2 - 13 Let w(t) = t**2. Let n(f) = -3*f**2 + 53*f**2 - 3*f**2 + 10*f**2. Determine n(w(a)). 57*a**4 Let i(o) = -26*o - 2*o + 5*o. Let j(r) = -7*r**2. Calculate i(j(m)). 161*m**2 Let l(s) = -28*s**2. Let m(z) = 451 + 5*z**2 - 6*z**2 - 451. Determine m(l(t)). -784*t**4 Let b(s) = 6*s**2 + 49*s**2 - 53*s**2. Let n(a) = -21*a**2 + 15*a + 15. Let r(d) = 5*d**2 - 4*d - 4. Let f(q) = -4*n(q) - 15*r(q). Calculate f(b(k)). 36*k**4 Let q(r) be the first derivative of r**3 - 384. Let b(j) = -12*j**2. What is q(b(x))? 432*x**4 Let a(r) = 6028682*r. Let h(x) = -x**2. Calculate h(a(k)). -36345006657124*k**2 Let s(h) = -683*h. Let o(q) = -19*q - 6. Let j(z) = -3*z - 1. Let t(i) = -6*j(i) + o(i). What is t(s(b))? 683*b Let r(a) = -381*a - 3494. Let m(p) = -p. Calculate r(m(c)). 381*c - 3494 Let w(i) = 7*i**2. Let f = -1 + 0. Let c(p) = 30. Let d(x) = 17. Let g(l) = 4*c(l) - 7*d(l). Let j(s) = -2*s + 4. Let t(v) = f*j(v) + 4*g(v). Give t(w(m)). 14*m**2 Let n(d) = -504*d + d**2 + 504*d. Let w(l) be the first derivative of -l**5/15 - 3*l**2/2 - 1. Let s(z) be the second derivative of w(z). What is s(n(p))? -4*p**4 Let d(m) be the second derivative of -13*m**3/3 + m**2 + 10*m. Let c(q) = 2*q**2 - 4*q**2 + 0*q**2 + q**2. Give c(d(y)). -676*y**2 + 104*y - 4 Let h(z) = 18*z + 8. Let p(f) = 16*f + 10. Let d(m) = -5*h(m) + 4*p(m). Let x(t) = 16*t. Determine d(x(l)). -416*l Let n(w) = 447 - 447 + 2*w. Let u(m) = 5*m - 5. Determine u(n(s)). 10*s - 5 Let y(m) be the third derivative of 7*m**4/24 - 2*m**2. Let k(o) = 16*o. Let h(z) = -5*z. Let r(v) = 10*h(v) + 3*k(v). Calculate r(y(j)). -14*j Let a(z) = -6*z**2. Let w(n) = 2469*n**2 + 10*n - 2. Determine w(a(v)). 88884*v**4 - 60*v**2 - 2 Let u(f) be the first derivative of -f**2/2 - 287. Let i(q) = 357*q**2. What is i(u(g))? 357*g**2 Let o(r) be the third derivative of 13*r**4/24 - 5*r**2. Let x(t) be the first derivative of t**2 - 50. What is x(o(f))? 26*f Let r(n) = n**2. Let q(l) = -4 + 2 + 1 - l. Let u(t) = t**2 - 7*t - 7. Let f(d) = 35*q(d) - 5*u(d). Determine r(f(m)). 25*m**4 Let l(r) = r. Let z = 12 + -8. Suppose -g = 5*j - 78, 7*j - 4*j + z*g - 40 = 0. Let w(n) = -37*n**2 + 16*n**2 + j*n**2. Give l(w(t)). -5*t**2 Let q(u) = 4*u. Let w(s) be the third derivative of -91*s**4/12 - 645*s**2. Calculate w(q(h)). -728*h Let c(n) = 8*n**2 - 24. Let w(m) = 15*m**2 - 44. Let b(r) = 11*c(r) - 6*w(r). Let j(x) = -50*x. Calculate j(b(g)). 100*g**2 Let l(j) = -8147*j + 2038*j + 2035*j + 2041*j + 2037*j. Let y(r) be the second derivative of -r**4 - r. Calculate l(y(b)). -48*b**2 Let p(c) be the second derivative of 8*c**3/3 + 247*c + 2. Let b(z) = -8*z**2. What is b(p(t))? -2048*t**2 Let x(t) = 3*t. Let v(z) = -15*z + 4. Let p(l) be the third derivative of 31*l**4/24 - 5*l**3/3 + 13*l**2. Let j(h) = 2*p(h) + 5*v(h). Give j(x(c)). -39*c Let m(f) = 2*f. Let l(t) = 441*t**2 - 5. What is m(l(g))? 882*g**2 - 10 Let l(v) = 83*v - 2. Let n(i) = 10*i**2 - 11*i. Let p(s) = -2*s**2 + 2*s. Let y(h) = -2*n(h) - 11*p(h). What is y(l(g))? 13778*g**2 - 664*g + 8 Let a(k) = -3*k. Let s(o) = o + 73601. Give a(s(m)). -3*m - 220803 Let c(b) be the second derivative of 1/6*b**3 + 0*b**2 + 0 - 8*b. Let h(m) = 14*m**2. Give c(h(w)). 14*w**2 Let g(y) = 6*y. Let x(j) = -4*j - 16502. Calculate x(g(c)). -24*c - 16502 Let k(u) = 40*u**2 + 0*u - 2*u + 0*u - 17*u**2 - 9*u**2. Let m(r) = -5*r. Give m(k(c)). -70*c**2 + 10*c Let n(j) be the first derivative of j**3 - 424. Let q(g) = g**2 + 6*g. What is n(q(r))? 3*r**4 + 36*r**3 + 108*r**2 Let b(j) = -j. Let z(w) be the second derivative of -41*w**4/12 - 11*w**2/2 + 6*w. Let s(u) = 8*u**2 + 2. Let q(o) = 11*s(o) + 2*z(o). Calculate q(b(i)). 6*i**2 Let x(v) = v + 562. Let u(o) = -319*o + 2. Calculate u(x(i)). -319*i - 179276 Let y(w) = 1051454*w**2. Let j(q) = -2*q. Give j(y(k)). -2102908*k**2 Let z(s) = -3*s**2. Let w(d) = -d**2 + 7. Give z(w(j)). -3*j**4 + 42*j**2 - 147 Let r(w) = -37039*w. Let k(f) = -2*f**2. Determine k(r(h)). -2743775042*h**2 Let f be -2 + 35/15 + (-7)/21. Let p(a) be the second derivative of 0 + 1/12*a**4 + f*a**3 +
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of -48*s**5/5 + s**3 + 6*s**2 + 111. What is the third derivative of n(w) wrt w? -1152*w Let m(o) be the first derivative of 7*o**3 + 0*o**5 + 0*o - 12/7*o**7 + 0*o**2 + 0*o**4 + 13 + 0*o**6. What is the third derivative of m(s) wrt s? -1440*s**3 Let j be 10/5*(-93)/(-6). Find the third derivative of j*v**4 + 18*v**2 + 565*v**3 - 565*v**3 wrt v. 744*v What is the second derivative of -48*i**4 + 4 - 9*i - 18*i - 37*i**4 + 24*i wrt i? -1020*i**2 What is the third derivative of 329*s**4 - 1167682*s**2 + 1167363*s**2 - 830*s**4 wrt s? -12024*s Let f(z) be the first derivative of -z**4/4 + 199*z**3 - 612*z + 511. What is the derivative of f(j) wrt j? -3*j**2 + 1194*j Let c(g) be the third derivative of -g**7/35 + g**6/24 - g**4/24 - 10*g**3/3 + 80*g**2. Find the second derivative of c(x) wrt x. -72*x**2 + 30*x Let f(p) be the third derivative of -p**4/24 - p**3/6 + 7*p**2. Let i(a) = 11*a**4 - 6*a + 14. Let b(o) = -6*f(o) + i(o). What is the derivative of b(u) wrt u? 44*u**3 Find the second derivative of 11*w**2 + 24*w - 10*w**2 + 3*w**3 - 2*w**2 wrt w. 18*w - 2 What is the second derivative of -7*m**5 + 3*m - 4*m**5 + 28*m - m**4 + m wrt m? -220*m**3 - 12*m**2 Let l(f) be the first derivative of -28*f**4 - 124*f**2 + 1. What is the second derivative of l(d) wrt d? -672*d Let l(a) be the second derivative of 79*a**7/42 + 11*a**4/6 + a**3/3 + 79*a. What is the third derivative of l(p) wrt p? 4740*p**2 Let z(g) be the third derivative of -43*g**7/30 + 17*g**3/2 - 563*g**2 + 2*g. What is the first derivative of z(s) wrt s? -1204*s**3 Find the second derivative of 132 - 6*r**3 - 6*r + 2*r**3 - 16*r**2 - 121 wrt r. -24*r - 32 Let t(z) = z**6 + z**5 + z**3 - z**2 - z - 1. Let j(q) = 49*q**6 + q**3 - 14*q**2 - q - 1. Let r(y) = 2*j(y) - 2*t(y). Find the third derivative of r(h) wrt h. 11520*h**3 - 120*h**2 Let d(w) = -1786*w**2 + 169*w + 6. Let f(h) = -357*h**2 + 33*h + 1. Let r(a) = 2*d(a) - 11*f(a). What is the second derivative of r(b) wrt b? 710 Let t(n) be the first derivative of n**5/10 + 17*n**4/24 + 9*n**2 + 31. Let f(z) be the second derivative of t(z). What is the second derivative of f(u) wrt u? 12 What is the second derivative of 49*s + 38 - 38 + 39*s**3 - 2*s**2 wrt s? 234*s - 4 Suppose 2*u + c - 262 = 4*c, 0 = -5*u - 5*c + 630. Find the second derivative of -23*r**4 - 32*r - 36*r + u*r - 40*r wrt r. -276*r**2 Suppose g = 5*u + 4*g - 20, 36 = 3*u - 3*g. Let l = 9 - u. Find the second derivative of l - 2 + 4*x**2 - 3*x**2 - 5*x wrt x. 2 Let u = -9 + 12. What is the first derivative of 34*a**u - 21 - 2 - 8*a**3 + 2*a**3 wrt a? 84*a**2 Suppose 2*l = -4, 0 = c - l - 234 - 172. Find the third derivative of 3*j**6 + 3*j**4 + j**6 + 451*j**2 - c*j**2 wrt j. 480*j**3 + 72*j Let t = 5 + 1. Let k = t - -2. What is the third derivative of 4*x**4 - k*x**2 + 4*x**2 - x**2 wrt x? 96*x Let l(h) be the second derivative of 0*h**6 + 0*h**2 - 1/21*h**7 + 0*h**3 - 11/6*h**4 + 18*h + 0*h**5 + 0. Find the third derivative of l(u) wrt u. -120*u**2 Suppose -3*w = -0*w + 3*w. Let u(c) be the first derivative of 0*c**3 + c**2 + 5/4*c**4 + w*c + 6. What is the second derivative of u(j) wrt j? 30*j Suppose -9*w - 2 = -10*w. Find the second derivative of -3*n**2 + 9*n**w - 12*n**2 + 40*n**2 + 4*n wrt n. 68 Let k(b) be the third derivative of -5*b**5/4 - 113*b**4/24 + 17*b**2 + b. Find the second derivative of k(u) wrt u. -150 Differentiate -121 - 20 - 7*q**2 - 82*q**2 - 23*q**2 with respect to q. -224*q Let l = -14 - -16. Suppose h = 6*h - 10. Find the second derivative of 0*g + 3*g**l - g**h - 2*g - g**2 wrt g. 2 Let m = 23 - 20. What is the derivative of -4*s**3 + 5*s**3 - 14*s**m - 7 wrt s? -39*s**2 Let c be 0*(-5 + 136/28). Let r(s) be the first derivative of -s**3 + 3/4*s**4 + 0*s**2 - 4 + c*s. What is the third derivative of r(h) wrt h? 18 Let u(y) be the first derivative of 899*y**5/5 + 564*y - 818. What is the first derivative of u(z) wrt z? 3596*z**3 Let s(f) be the second derivative of 0*f**2 + 0*f**3 - 16*f + 0 + 11/6*f**4 - 3/5*f**5. What is the third derivative of s(p) wrt p? -72 Let s(p) be the first derivative of -17*p**3 + 170*p - 80. Find the first derivative of s(x) wrt x. -102*x Let t be -4 - -4 - 1 - 10. Let b = t + 16. Find the second derivative of -24*c**5 - 14*c + 30*c**5 + b*c wrt c. 120*c**3 Let p(d) be the first derivative of 7*d**6/120 - d**4/3 - 6*d**3 - 33. Let k(g) be the third derivative of p(g). Differentiate k(z) with respect to z. 42*z Let m(s) be the second derivative of s**6/6 + s**5/5 + 26*s**4/3 + 2*s + 26. Find the third derivative of m(t) wrt t. 120*t + 24 Let l(m) = -12*m**3 - 52*m**2 + 1029*m - 1029*m - 9. Let q(j) = 3*j**3 + 13*j**2 + 2. Let z(h) = 2*l(h) + 9*q(h). What is the third derivative of z(v) wrt v? 18 Let z = -9 - -19. Let a = z + -8. What is the derivative of 3 - 2 - 10*x + 7*x - a wrt x? -3 Let n(k) be the second derivative of -5*k**3/3 - 2*k. Let s(v) = -v**4 - 19*v. Let q(p) = -5*n(p) + 3*s(p). What is the second derivative of q(f) wrt f? -36*f**2 Suppose -4*u - 35 = -9*u. Find the third derivative of 4*m**2 + 5*m**2 + 18*m**3 + u*m**2 - 19*m**2 wrt m. 108 Let h(g) = 9*g**4 - 5*g**3 + 25*g**2 + 5*g. Let x(j) = 5*j**4 - 2*j**3 + 13*j**2 + 2*j. Let b(z) = 2*h(z) - 5*x(z). Find the third derivative of b(p) wrt p. -168*p Suppose 3*i = 9 + 3. Find the third derivative of l**4 + 4 + 2*l**2 - i wrt l. 24*l Let j(c) = c**4 + c**2 + 3*c - 1. Let s(o) = 182*o**4 + 4*o**2 + 12*o - 188. Let d(l) = -4*j(l) + s(l). Find the first derivative of d(f) wrt f. 712*f**3 Let f(r) = r**3 + 4*r**2 - r - 3. Let l be f(-3). Let i be (18/(-10))/((-3)/15). Find the third derivative of l*g - 2*g**5 - i*g + g**2 wrt g. -120*g**2 Find the second derivative of -44*l + 32*l - 5 + 49*l**2 + 10 wrt l. 98 Let s be ((-5)/(-15))/(2/12). Differentiate y + 16*y + 3 - 9 - s*y wrt y. 15 Let d = -140 - -143. Find the third derivative of 8*q**3 - 9*q**d - 6*q**3 - 34*q**2 - 5*q**3 wrt q. -72 Let l(k) be the third derivative of 0*k**5 + 0*k**7 + 2/3*k**4 + 0*k**3 + 0*k**6 + 1/48*k**8 + 0*k + 0 + 23*k**2. Find the second derivative of l(o) wrt o. 140*o**3 Let t = 35 + -25. Find the third derivative of -40*h**4 + 87*h**4 + t*h**2 - 43*h**4 wrt h. 96*h Let q(v) = -v**2 - 6*v - 2. Let k be q(-5). Find the first derivative of 22 + 7 + 26*p**3 - 15*p**k - 10*p**3 wrt p. 3*p**2 Let r(g) = g - 8. Let b be r(11). Let j = 6 - b. What is the third derivative of -j*d**2 + 17*d**4 - 4*d**2 + 3*d**2 - 15*d**4 wrt d? 48*d What is the second derivative of -3 + 3 - 200*z - 28*z**3 + 0*z**3 - 32*z**3 wrt z? -360*z Suppose 0 = 5*x + 6*x - 33. What is the third derivative of 13*i**3 + 0*i**3 - 5*i**2 + 14*i**3 - 5*i**x wrt i? 132 Let n be ((0 + 0)/(-2))/(-2). What is the derivative of 12 + 4*y**2 + n - 3*y**2 + 0*y**2 wrt y? 2*y Let h(p) = -2*p**2 + 7*p - 14. Let z(q) = -q**2 + q + 1. Let u(w) = h(w) - 3*z(w). Let n be u(-8). Differentiate 3 - 6*k**4 + n*k**4 + 0*k**4 with respect to k. 36*k**3 Let u(a) be the first derivative of -a**2 - 9*a - 56/3*a**3 - 17. What is the second derivative of u(c) wrt c? -112 Let c = -149 - -154. Let q(n) be the first derivative of 0*n**4 - 2/3*n**6 - n**2 + 0*n**3 + 0*n**c - 3 + 0*n. What is the second derivative of q(w) wrt w? -80*w**3 Let w(b) be the third derivative of -5/2*b**3 + 0 - 6*b**2 - 5/8*b**4 + 0*b. Differentiate w(i) with respect to i. -15 What is the third derivative of -3*w**2 + 20*w**6 - 4*w**5 - 2*w - 7*w**5 + 11*w**5 wrt w? 2400*w**3 Suppose s + 3*s = 2*f + 52, 3*f = 2*s - 30. Differentiate s + 2*h - 2 + 17 - 13 wrt h. 2 What is the second derivative of -257*k**5 - 210*k + 32*k - 42*k**5 + 84*k - 244*k wrt k? -5980*k**3 What is the first derivative of -4*z - 56*z + 38 - 79*z - 9*z - 4*z wrt z? -152 Let i(d) be the first derivative of 2*d**7/21 + 11*d**4/12 - 6*d - 13. Let h(s) be the first derivative of i(s). What is the third derivative of h(r) wrt r? 240*r**2 Let u(m) = 5*m**4 - 9*m**3 - 5*m + 25. Let l(f) = 11*f**4 - 18*f**3 - 11*f + 51. Let v(t) = -2*l(t) + 5*u(t). What is the second derivative of v(a) wrt a? 36*a**2 - 54*a Let n(k) be the second derivative of -k**6/6 + 11*k**5/20 - 7*k**4/12 + 15*k**2/2 + 223*k. Find the third derivative of n(j) wrt j. -120*j + 66 Let d(w) be the first der
{ "pile_set_name": "DM Mathematics" }
))**2*3 + (sqrt(209)*-1)/sqrt(11). -sqrt(19) + 513 Simplify sqrt(13) - (-6*-3*sqrt(13))**2 - (0 + (sqrt(13) - sqrt(91)/sqrt(7))). -4212 + sqrt(13) Simplify (1 + (-1*sqrt(39)*-5)/sqrt(3))**2*2. 20*sqrt(13) + 652 Simplify sqrt(21)/(-2*sqrt(3)) - (-1 + sqrt(7) + -1). -3*sqrt(7)/2 + 2 Simplify -5 + sqrt(19) + (sqrt(76) - -2*sqrt(76))/sqrt(4) - (sqrt(1900) + 0)*5. -46*sqrt(19) - 5 Simplify -2*(sqrt(2299) + 2 + sqrt(2299)*-1). -4 Simplify 1 + sqrt(5) + 1 + -3*sqrt(80). -11*sqrt(5) + 2 Simplify (sqrt(7) + 3 + sqrt(7))*-3 + 3*sqrt(112). -9 + 6*sqrt(7) Simplify -4 + ((sqrt(24)*-1)/sqrt(12))**2. -2 Simplify (sqrt(72)/sqrt(4)*2)/sqrt(6). 2*sqrt(3) Simplify 2*(sqrt(13) - (sqrt(637) - (5*sqrt(637) - sqrt(637)))). 44*sqrt(13) Simplify (sqrt(114)/(sqrt(42)/sqrt(112)))**2 + (sqrt(57) - (-1*sqrt(57) - sqrt(57))*1)/sqrt(3). 3*sqrt(19) + 304 Simplify ((sqrt(32) + -1)*-6*5)**2. -7200*sqrt(2) + 29700 Simplify sqrt(1088)*-4 + sqrt(612)*-1 + sqrt(17). -37*sqrt(17) Simplify (5 + sqrt(704)*-1)**2 + sqrt(110)/(sqrt(30)/sqrt(3)*-3). -241*sqrt(11)/3 + 729 Simplify (sqrt(1216)*-2)**2*-2. -9728 Simplify sqrt(432)/(sqrt(9)*-1*1). -4*sqrt(3) Simplify (sqrt(1872) + -2)*-5 - sqrt(1872). -72*sqrt(13) + 10 Simplify ((sqrt(140) - (-2*sqrt(140) + sqrt(140)))/sqrt(10))/sqrt(7) + 3 + 1. 2*sqrt(2) + 4 Simplify -4 + 0 + sqrt(396). -4 + 6*sqrt(11) Simplify -4 + (sqrt(5)*-1)**2 + 4. 5 Simplify (sqrt(152)/(sqrt(32)/(-2*sqrt(4))) - (1 + sqrt(1539) + 0))**2. 22*sqrt(19) + 2300 Simplify sqrt(56)/((1*sqrt(88))/sqrt(11))*-2 + 4. -2*sqrt(7) + 4 Simplify sqrt(396)/sqrt(4)*4. 12*sqrt(11) Simplify (-4 + sqrt(363) + 0)**2. -88*sqrt(3) + 379 Simplify (sqrt(3087) - -1*sqrt(3087))/(sqrt(9) + sqrt(324)*6). 14*sqrt(7)/37 Simplify ((sqrt(7) - (sqrt(28)/sqrt(4) + -4 - sqrt(7)))**2 + sqrt(21)/(sqrt(3)*1))*-5. -45*sqrt(7) - 115 Simplify (sqrt(605) - 2*sqrt(605))*1*-2*-5. -110*sqrt(5) Simplify 4*(sqrt(13) - (5 + (-1 + sqrt(13) - sqrt(13))**2))*-1. -4*sqrt(13) + 24 Simplify (4*1*sqrt(17) + (-1 + sqrt(425) - sqrt(425)))**2. -8*sqrt(17) + 273 Simplify ((sqrt(187) - (5*sqrt(187)*2 + sqrt(187)))/(sqrt(77)/sqrt(343)))**2. 83300 Simplify ((sqrt(5184)*1)/(sqrt(72)/(1*sqrt(6))))**2. 432 Simplify (sqrt(1539) + 1 + sqrt(19))**2 - (sqrt(76) + -2)**2. 28*sqrt(19) + 1821 Simplify (-2*sqrt(14)/(sqrt(567)*-4))**2. 1/162 Simplify (sqrt(36)/(sqrt(12)*-6))**2 - sqrt(81)/sqrt(3). -3*sqrt(3) + 1/12 Simplify (-2*(sqrt(77) - -1*sqrt(77)) - sqrt(77))/(sqrt(448)*-2 + sqrt(448)). 5*sqrt(11)/8 Simplify -4*(sqrt(1900) + (sqrt(1900) + -2 + sqrt(1900) + 0)**2) + 3. -30413 + 280*sqrt(19) Simplify -2 + sqrt(39)/sqrt(48). -2 + sqrt(13)/4 Simplify 6*(sqrt(5) - sqrt(125)) + (4 + 1 + sqrt(5) + sqrt(5) - sqrt(5)). -23*sqrt(5) + 5 Simplify -5*(sqrt(11) - (-1*sqrt(1584))**2). -5*sqrt(11) + 7920 Simplify ((sqrt(17) + -2)*4 - sqrt(17)) + (sqrt(187)/(sqrt(11) + sqrt(33)/sqrt(3) + sqrt(11)))**2. -55/9 + 3*sqrt(17) Simplify 1 + (-5*(sqrt(153) - ((sqrt(153) - (sqrt(153) + sqrt(153)*1 + sqrt(153))) + sqrt(153)) - sqrt(153)))/sqrt(9). -5*sqrt(17) + 1 Simplify (sqrt(304)*6)**2*3. 32832 Simplify (sqrt(605) + -2)*1. -2 + 11*sqrt(5) Simplify -6*(0 + sqrt(832))**2. -4992 Simplify (-5*-4*(sqrt(176) + sqrt(176)*-2)*2)**2. 281600 Simplify 2*(1 + sqrt(76)). 2 + 4*sqrt(19) Simplify 3*((-6*(sqrt(147) + 1*sqrt(147)))**2 - sqrt(147)). -21*sqrt(3) + 63504 Simplify (2 + sqrt(63) + 1 + 1 + 5)**2. 54*sqrt(7) + 144 Simplify 0 + 2*(-4 + sqrt(1331)*-1). -22*sqrt(11) - 8 Simplify (sqrt(2) + -2 + -1 + sqrt(2))*1 - (sqrt(242)*-2 - (-1 + 0 + sqrt(2))). -4 + 25*sqrt(2) Simplify (sqrt(11) - (sqrt(33)/(sqrt(3)*2))**2) + 6*sqrt(99). -11/4 + 19*sqrt(11) Simplify (sqrt(143)/(sqrt(66)/(sqrt(36)/sqrt(6))))**2. 13 Simplify (sqrt(320)*-3)**2 + -4. 2876 Simplify ((2*sqrt(66) + sqrt(66))/sqrt(6))**2 - (sqrt(55)/(1*sqrt(5)))**2. 88 Simplify -2 + ((sqrt(832) + 0)*2 - (sqrt(832) + sqrt(832) + -1 + -3))**2. 14 Simplify (3 + sqrt(343))**2*3*1. 126*sqrt(7) + 1056 Simplify (sqrt(700) - -4*sqrt(700)*6)**2. 437500 Simplify ((sqrt(228) + sqrt(228)*-1)*2)/(-3*(sqrt(12) + sqrt(36)/sqrt(3))). 0 Simplify -4 + -5 + 0 + sqrt(7). -9 + sqrt(7) Simplify (sqrt(24)/(sqrt(48)/sqrt(4)))**2 - (sqrt(8) - -2*sqrt(8))**2. -70 Simplify -4 + ((sqrt(190) - -2*sqrt(190))*-3)/sqrt(10). -9*sqrt(19) - 4 Simplify (3*sqrt(66)/sqrt(6) - (sqrt(11)*3 + -4))**2. 16 Simplify 1 + 4 + (sqrt(2057) + sqrt(2057) + 3 - sqrt(2057))**2. 66*sqrt(17) + 2071 Simplify sqrt(1872) - (sqrt(1872) - (sqrt(1872) - sqrt(1872)*-3) - sqrt(1872))**2 - sqrt(13) - (1 + -2 + sqrt(13)). -29951 + 10*sqrt(13) Simplify (1 + sqrt(7) + 5)**2 + 4. 12*sqrt(7) + 47 Simplify (-1 + sqrt(242) + sqrt(242) + 2 + sqrt(242))**2. 66*sqrt(2) + 2179 Simplify (sqrt(112)*-3 + -1)**2. 24*sqrt(7) + 1009 Simplify -1*(3*sqrt(11) + sqrt(11) + 1). -4*sqrt(11) - 1 Simplify (sqrt(130) + (sqrt(130) - (sqrt(130) - 5*2*sqrt(130))))/((sqrt(80) + sqrt(80)*1)/sqrt(8)). 11*sqrt(13)/2 Simplify 1 + 3 + sqrt(18)/sqrt(6). sqrt(3) + 4 Simplify (-1*sqrt(77)*-5 + sqrt(77))/sqrt(7). 6*sqrt(11) Simplify (0 + sqrt(98) + 1)**2. 14*sqrt(2) + 99 Simplify sqrt(153)/(sqrt(9) - sqrt(9)*-6) + (-5 + sqrt(17))*-1. -6*sqrt(17)/7 + 5 Simplify (-3*2*(1 + sqrt(539) - sqrt(539)))**2. 36 Simplify sqrt(119)/(sqrt(140)/sqrt(5)). sqrt(17)/2 Simplify ((sqrt(700) + -3*sqrt(700) + sqrt(700) - sqrt(700))*2)**2*3. 33600 Simplify (sqrt(1700) - 4*(sqrt(1700) + -3))**2 + sqrt(1700). -710*sqrt(17) + 15444 Simplify sqrt(65)/(1*sqrt(5)*-2)*2. -sqrt(13) Simplify 0 + (5 + sqrt(242))*4. 20 + 44*sqrt(2) Simplify -1 + (-4*sqrt(128))**2. 2047 Simplify (5*-1*sqrt(245)*4)**2. 98000 Simplify sqrt(3) + (sqrt(180)/sqrt(5))/sqrt(12) + (5*sqrt(9)/sqrt(3))**2. 2*sqrt(3) + 75 Simplify ((-5*sqrt(270))/sqrt(10))/sqrt(9). -5*sqrt(3) Simplify (sqrt(847)*-1 + -3 + sqrt(175))**2. 36*sqrt(7) + 261 Simplify sqrt(304)*-6 + -2. -24*sqrt(19) - 2 Simplify ((sqrt(7) + -1)**2 + 1 + sqrt(7))*2 - (sqrt(1008) + 3 + sqrt(1008) + 1)**2. -4030 - 194*sqrt(7) Simplify (sqrt(1200)*2)**2 - ((sqrt(144) + 1*sqrt(144))/sqrt(3))**2. 4608 Simplify (sqrt(2448)*3 - sqrt(85)/(-1*sqrt(5)))*1. 37*sqrt(17) Simplify 0 + 4 + sqrt(176). 4 + 4*sqrt(11) Simplify 2 + (-2*sqrt(18)*-2)/((sqrt(99)*-2)/sqrt(11)). -2*sqrt(2) + 2 Simplify ((sqrt(39)/(-1*sqrt(3)) - (sqrt(156) - 1*sqrt(156))/sqrt(12)) + 0)**2*-3. -39 Simplify (-4*sqrt(2448)*1)**2 - sqrt(2448). -12*sqrt(17) + 39168 Simplify (1 + sqrt(448) + sqrt(448) + -1*sqrt(448) + 4 + -2)**2. 48*sqrt(7) + 457 Simplify (sqrt(243)*1)**2 + 3. 246 Simplify ((sqrt(200)/sqrt(90))/(sqrt(4) - 2*sqrt(20)/sqrt(5)))**2. 5/9 Simplify 0 + sqrt(49)/(sqrt(21)/sqrt(3)) + sqrt(1008)*1. 13*sqrt(7) Simplify -5 + (3 + (-1 + sqrt(7)*2 - sqrt(7) - sqrt(7) - sqrt(7) - 2*sqrt(700)))**2. -84*sqrt(7) + 3086 Simplify (2*sqrt(891)*-2 + 2*2*sqrt(891))**2. 0 Simplify ((sqrt(120) - (sqrt(120) + (sqrt(120) - (sqrt(120)*-1 - sqrt(120)))) - sqrt(120) - sqrt(120))/sqrt(10))/sqrt(6). -5*sqrt(2) Simplify (sqrt(2) + 2 + sqrt(2))*-6*-6. 72 + 72*sqrt(2) Simplify -3 + 3 + sqrt(13) + sqrt(104)/(sqrt(32)/sqrt(4)). 2*sqrt(13) Simplify (sqrt(30)/(-2*sqrt(10))*-2)**2. 3 Simplify (sqrt(80) + -2)**2 + 4. -16*sqrt(5) + 88 Simplify 2 + (sqrt(1088) - (sqrt(1088) + sqrt(1088) + (sqrt(1088) - (1 + sqrt(1088))**2 - sqrt(1088)))). 8*sqrt(17) + 1091 Simplify 3*(1 + sqrt(48) + 1 + sqrt(12))**2. 72*sqrt(3) + 336 Simplify ((sqrt(34)*-2*2)/(sqrt(8)/sqrt(4)*-1))**2. 272 Simplify ((sqrt(90)/sqrt(3))/sqrt(6)*3)**2. 45 Simplify -3*(sqrt(63) - (sqrt(126)/sqrt(2))**2 - sqrt(7)). -6*sqrt(7) + 189 Simplify (-4*sqrt(315))/sqrt(7) + -5. -12*sqrt(5) - 5 Simplify -3*-2*(sqrt(11) + sqrt(66)/(2*sqrt(6)))**2*5. 1485/2 Simplify (sqrt(208)*2*-1 - sqrt(208)) + sqrt(208). -8*sqrt(13) Simplify (sqrt(84)*-1 - sqrt(84))/sqrt(12) - (3*sqrt(847) + sqrt(847)). -46*sqrt(7) Simplify sqrt(11) + 0 + sqrt(275) - sqrt(44)*-4. 14*sqrt(11) Simplify (sqrt(6)/(-1*sqrt(21)/sqrt(7)))**2. 2 Simplify (sqrt(4455) + sqrt(4455)*-1)/(4*sqrt(25)/sqrt(5)). 0 Simplify 2 + (sqrt(76) - (sqrt(76) - sqrt(76)*1)**2). 2 + 2*sqrt(19) Simplify 5*(3*(sqrt(3) + -1) + sqrt(3)). -15 + 20*sqrt(3) Simplify (5*2*sqrt(1584)*2)**2. 633600 Simplify sqrt(5) + sqrt(5) + sqrt(125)*-3 - (sqrt(55)*4)/sqrt(11). -17*sqrt(5) Simplify sqrt(34)/(sqrt(18)/sqrt(225)). 5*sqrt(17) Simplify ((sqrt(5472)*-1)/sqrt(2)*2)**2. 10944 Simplify -3*sqrt(108)*5. -90*sqrt(3) Simp
{ "pile_set_name": "DM Mathematics" }
+ z*h**2 + i*h and give v. -4 Rearrange -15*t + 28*t - 62*t - 2 - 74*t to the form u + w*t and give u. -2 Rearrange (3 - 4 + 0*w - w)*(-3*w**2 - 8*w**2 - 19*w**2)*(-3 + 2 - 3) to m*w**3 + t + f*w**2 + q*w and give m. -120 Rearrange (0*v - v + 3*v)*(0*v + v + 10*v + (-v + v - 2*v)*(3 - 2 + 1) + 0*v + v - 18*v) to k*v**2 + l*v + j and give k. -20 Express 4*d**3 - 2*d**3 - d**3 + (-3*d**3 + d**3 - d**3)*(6 + 2 - 2 + (0 + 2 - 3)*(12 - 12 + 15)) as h + c*d**3 + g*d**2 + l*d and give c. 28 Express 207*z + 111*z - 233*z as b*z + j and give b. 85 Express -2 + 4 + 1 - 29*q**2 + 147*q**2 in the form v + z*q + x*q**2 and give v. 3 Express -980*m + 484*m + 494*m - 999*m**3 in the form t*m**2 + v*m**3 + y + j*m and give v. -999 Rearrange (-112*p - 25*p**2 + 112*p)*(10*p**2 + 0*p**2 + 4*p**2) to r*p**4 + d*p + t*p**3 + j + i*p**2 and give r. -350 Rearrange (22*g - 60*g + g)*(0 + 0 - 1)*(0*g - 2*g - 4*g) - 3*g**2 - 1 + 1 to a + d*g**2 + p*g and give d. -225 Rearrange 9 - 6 + j**2 + 0*j**2 + 6*j**3 to p*j + v + y*j**2 + q*j**3 and give q. 6 Rearrange 4*w - 3*w + 1204 + 125 - 17 to the form v*w + g and give g. 1312 Rearrange -16*m + 5*m - 17*m + 14*m**3 - 3*m**2 - 12*m**3 to x*m**3 + k*m**2 + s*m + i and give s. -28 Rearrange (-2*u - 3*u + 2*u)*(-154 - 127 - 130) to the form z*u + m and give z. 1233 Rearrange (-914 + 914 + 60*c)*(0*c - 3*c + c) to the form h*c**2 + g + w*c and give h. -120 Rearrange (-3 - 1 + 7)*(-5*y + 4*y + 2*y) - 5*y + 3*y + y + (-13 + 14 + 16)*(-9 - 2*y + 9) to the form z*y + c and give z. -32 Express 167*a**4 + 164*a**4 - 330*a**4 - 4*a + 2 + 2 - a**3 as i + y*a + c*a**2 + f*a**3 + q*a**4 and give f. -1 Express -53*m - 11*m - 285*m - 29*m in the form i*m + h and give i. -378 Rearrange 2*w - 8*w**3 - 508 - 507 + 1014 to c*w**2 + d*w**3 + f + m*w and give m. 2 Rearrange 25 - 23 + 22*c**4 - 252*c + 251*c - 6*c**3 to the form s*c + d*c**4 + v + f*c**2 + h*c**3 and give s. -1 Rearrange 13*h**2 + h**2 - 27*h - h**3 - 21*h**2 to y*h**2 + o*h + k*h**3 + n and give o. -27 Rearrange (-4 + 4 + 1)*(x + 2*x - x) - 1 - 2*x + 3*x - 1 + (2 + 0 - 3)*(36*x - 44*x + 102*x) to the form m + y*x and give y. -91 Express (1 + 2*n - n**2 - 3*n**3 - 12*n**3 + 12*n**3)*(-4 + 4 - 3) as a*n**3 + o*n**2 + c*n + g and give g. -3 Rearrange 2*t + 2 - 2 + (0 + 0 + 1)*(-5*t + t + 3*t) + (-3 + 1 - 1)*(17*t + 13*t - 23*t) to the form n + r*t and give r. -20 Express -2*o - 18*o**2 + 6*o**2 + o**3 + 4*o**2 + 4*o**2 + 2*o**4 in the form h + k*o**4 + w*o**3 + t*o**2 + p*o and give w. 1 Rearrange -4*d + 2*d + 3*d + (-2*d + 5*d - 4*d)*(-1 + 4 - 2) - d + 0 + 0 + 626*d + 29 - 57 + 26 to the form v + w*d and give v. -2 Rearrange 0*z**2 - 3 - 2*z**2 + 2 + 11*z**3 + 4*z**3 + 10*z**2 to y*z**2 + k*z**3 + u*z + m and give k. 15 Express -4*x + 7*x + 1675 - 1803 in the form t*x + c and give t. 3 Express 2 - 3*k**4 + 39*k**3 - 6*k**4 + 3*k - k**2 + 23*k**4 + 0*k**4 - 12*k**4 as p*k**2 + g*k**4 + u*k + w*k**3 + d and give d. 2 Express 2*z**2 - 4*z**2 - z**2 + (z - 2 + 2)*(3*z + 3*z - 5*z) + 3*z**2 + z**2 - z**2 as q + t*z**2 + d*z and give t. 1 Rearrange 6*s - 68*s**3 - 70*s**3 + 154*s**3 + s**2 to the form i*s + p + g*s**2 + t*s**3 and give g. 1 Rearrange 2418 + 68*z - 2418 to s*z + p and give s. 68 Rearrange -3*t**2 + 0*t**2 - 61*t + 2*t**2 + (8*t + 5*t + t)*(0*t - 4*t + 2*t) to the form y*t**2 + u*t + f and give u. -61 Rearrange (-2*f**2 + 29*f**2 + 6*f**2)*((f - f - 2*f**2)*(1 + 2 - 1) - f**2 - 5*f**2 + 2*f**2) to the form q*f**3 + d*f**2 + t + o*f + c*f**4 and give c. -264 Express (6 + 5 - 5)*(2*p**2 - 5*p**2 + 4*p**2)*(-12*p + 22*p - 12*p) in the form w*p**2 + q*p**3 + n*p + t and give q. -12 Express -123*x - 132*x + 30*x - 2*x + 3*x + 0*x + (-2 + 3 - 2)*(-2*x - 4*x + 4*x) as g + d*x and give d. -222 Rearrange 28529 - 277*d - 28529 to o*d + i and give o. -277 Rearrange -2*r**3 + 5*r + r**4 + 70*r**2 - 70*r**2 - 7*r**4 to p + s*r + w*r**2 + d*r**4 + h*r**3 and give h. -2 Express 2*h**2 + 1 - 2*h - 344*h**4 + 346*h**4 - 6*h**2 in the form t*h + a*h**3 + y*h**2 + q*h**4 + d and give q. 2 Express -10*m + 10*m + 1 - 70*m**2 in the form x*m + u*m**2 + a and give u. -70 Rearrange 15*c**2 - 3*c**2 - 2*c - 4*c**2 + 1 - 4 + 2 to the form q*c + k*c**2 + l and give q. -2 Express k + 27 + 29 - 113 + 0*k + 7 in the form z*k + d and give z. 1 Rearrange -131*s + 537*s - 197*s + 475*s + 306*s to a + r*s and give r. 990 Rearrange (-2*q - 2*q**2 + 2*q)*((q + 6*q + 6*q)*(4 - 4 + q) + 0*q**2 + q**2 - 3*q**2) to t + a*q**3 + r*q + c*q**2 + j*q**4 and give a. 0 Rearrange h**3 + 337 - 2*h - 683 + 339 to d + u*h**2 + n*h**3 + v*h and give d. -7 Rearrange -19673 + 19673 + 564*c to the form h*c + i and give h. 564 Rearrange -7*b**2 - 2 - 675*b + 3*b**2 + 682*b + b**3 to the form o*b**3 + i*b + h*b**2 + g and give g. -2 Express 39*v + 2*v**2 + 39*v - 76*v - 57 as m*v**2 + u*v + j and give u. 2 Express 1 + 200*u**2 - 96*u**2 - 95*u**2 + u in the form d*u**2 + x*u + l and give l. 1 Rearrange 17*x**2 - 13*x**2 - 25*x**2 + (-3*x + 20*x + 3*x)*(2*x + 4*x - 4*x + (-3 - x + 3)*(2 - 2 - 4) - 2 - 2*x + 2) to t*x + b*x**2 + o and give b. 59 Express (-4*w - 5*w + 3*w + (3 - 2 - 2)*(4*w - 4*w - 2*w))*(84 - 50*w**3 - 84) in the form l*w**4 + f*w**2 + n*w + b + h*w**3 and give l. 200 Rearrange 0*d**2 + 6*d**2 - 13*d**2 - 12*d**2 - 12*d**2 to the form u + p*d**2 + m*d and give p. -31 Rearrange 1 + q**4 - 1 + (2*q + q - q)*(q**3 - 10*q**3 - 2*q**3) + (1 + 2*q**3 - 1)*(0 - q + 0) to the form l*q**4 + d*q**2 + p*q + r + z*q**3 and give l. -23 Express 2431*z**2 + 24*z**3 + 9*z**3 - 35*z**3 in the form o + v*z**2 + u*z + x*z**3 and give v. 2431 Express -2*y - 104 + 3*y - 176 + 60 as u + l*y and give l. 1 Rearrange -3*j - 14*j - 34*j + 10*j to v*j + l and give l. 0 Express -f**2 + 42*f + 1 - 5 + 45*f + 40*f - 73*f as j*f + t*f**2 + g and give j. 54 Express (3*g - 3*g - 12*g)*(-2 + 2 - 2 + (0 + 0 - 1)*(2 - 2 + 3)) in the form n + h*g and give h. 60 Express -32*t**3 - 27*t**3 - 1 + 3*t**3 + 18*t**3 + 4*t**2 as n*t**2 + v*t + s + j*t**3 and give j. -38 Express -121*d**3 + 12*d**2 + d + 374*d**3 - 126*d**3 - 128*d**3 as l + y*d**2 + g*d**3 + i*d and give g. -1 Express (-g + 2*g**3 + g)*(-221*g - 467*g - 67*g) in the form b*g**2 + u*g**4 + v*g + n*g**3 + h and give u. -1510 Rearrange (-b - b - b)*(4 + 1 - 3)*(-1084 + 1084 - 37*b) to the form d*b**2 + w + l*b and give d. 222 Rearrange -20*o + 90*o**2 - 22*o**2 + 3 - 66*o**2 + 2*o**2 + 2 - 2 + (2*o + o - o)*(2*o + 2*o - 2*o) to u*o**2 + q + c*o and give c. -20 Rearrange 4*i - 79*i**2 - 6*i + 238*i**2 + 473*i**2 + i to the form b*i + a*i**2 + p and give a. 632 Rearrange -3*v**2 + 5 + 14*v**3 + 4*v**2 + v**4 - 12*v**3 to the form p*v**3 + g*v**2 + u + c*v + n*v**4 and give p. 2 Rearrange -74*o**2 + 27*o**2 + 55*o**2 - 73*o**2 - 79*o**2 to the form p*o + g*o**2 + w and give g. -144 Rearrange v + 4*v**2 + v**4 + 2*v**4 + 10 - 26 + 12 to the form c*v**3 + q*v + w*v**4 + i*v**2 + y and give i. 4 Rearrange 3*x + x**2 + 1 - x - 2*x**2 + 54*x**3 - 40*x**3 to a*x**2 + b*x**3 + h + i*x and give h. 1 Express (12*v - 2*v - 3*v)*(-5 - 1 - 1) + (3 + 2 - 4)*(-2*v + 6*v - 2*v) + v + 1 - 1 + 2*v - 2 + 2 as c + g*v and give g. -44 Express -2*r**2 - 5*r + r + 5*r**2 - r**2 + 4*r**3 as u + h*r + l*r**3 + p*r**2 and give p. 2 Rearrange 8061 - 4030 - 4031 - 871*f to the form p + w*f and give p. 0 Rearrange (3*q - 3*q + 2*q**2)*(1 - 1 - 4)*(-q + 2*q - 2*q)*(-3 - 4 + 4)*(-25 + 0 - 36) to the form h*q + x*q**2 + r + s*q**3 and give s. 1464 Express 48*o**2 - 1 + 39*o**2 + 0 - 114*o**2 in the form y*o + q*o**2 + i and give i. -1 Rearrange -9 + 2 + 5 + 30*m**3 - 29*m**3 + m + 4*m**2 to z*m + j + p*m**3 + l*m**2 and give l. 4 Rearrange (43091 + 3*n**2 - 2*n**2 - 43089 - 483*n)*(3*n - 6*n + 2*n) to the form q + a*n + o*n**3 + i*n**2 and give o. -1 Express 55*g + 41 - 16 - 24 in the form n*g + r and give r. 1 Rearrange (0*g - g + 3*g)*(-4*g**3 + 4*g**3 + 2*g**3) + 45*g**2 + 762*g**3 - 762*g**3 + 3*g**4 - g**4 + 0 + 0 to f*g**4 + p*g**2 + w*g + c + t*g**3 and give f. 6 Express -2*i - i + 2*i - 6*i**2 - 210 + 224 as f*i**2 + v + t*i and give v. 14 Rearrange -d - 70*d**3 + 1 + 2*d**2 - 16*d**4 + 1 + d + 72*d**3 to the form v*d + g + p*d**2 + q*d**4 + h*d**3 and give p. 2 Rearrange (4 - 4 - 5*m**2)*((-2 + 0 + 0)*(5*m +
{ "pile_set_name": "DM Mathematics" }
Solve 3252*o + 55 = 3263*o for o. 5 Solve 154 = -11*u + 121 for u. -3 Solve 11 = 3*f - 4 for f. 5 Solve -577 = k - 584 for k. 7 Solve 0 = -9*a + 3*a + 18 for a. 3 Solve -19*p - 126 = 2*p for p. -6 Solve 16*m + 150 = -14*m for m. -5 Solve -10*t = 393 - 423 for t. 3 Solve 14*v - 58 = -44 for v. 1 Solve -25*y = -50*y + 25 for y. 1 Solve -35 = -c - 32 for c. 3 Solve -12 = 75*r - 71*r for r. -3 Solve 11*o = -15 - 40 for o. -5 Solve 5*f + 7*f + 36 = 0 for f. -3 Solve 0 = 15*w - 26*w - 11 for w. -1 Solve 68 + 40 = -36*h for h. -3 Solve 0 = 22*i + 45 - 23 for i. -1 Solve -1468*h = -1473*h + 15 for h. 3 Solve 96*m - 3 - 189 = 0 for m. 2 Solve -51*s = -47*s + 12 for s. -3 Solve 5 = -p + 6*p for p. 1 Solve -12 = -32*p + 35*p for p. -4 Solve -15 = -47*l + 50*l for l. -5 Solve -10*f + 200 = 100 for f. 10 Solve 0 = 14*n + 37 - 65 for n. 2 Solve -289 = 18*a - 145 for a. -8 Solve 18*g - 23*g = 0 for g. 0 Solve 3*f + 0*f - 6 = 0 for f. 2 Solve 1560*l = 1573*l - 26 for l. 2 Solve 24 = 3*x + 12 for x. 4 Solve 30*j = 35*j - 10 for j. 2 Solve 10*i = 8*i + 8 for i. 4 Solve -17*n + 13 = -4*n for n. 1 Solve -7*m + 27 = 48 for m. -3 Solve -4 - 6 = 5*r for r. -2 Solve -53 = 11*z + 13 for z. -6 Solve -4*d = 41*d + 90 for d. -2 Solve -14*q + 9*q + 15 = 0 for q. 3 Solve -12*b + 13558 = 13570 for b. -1 Solve 6*f - 8*f = -2 for f. 1 Solve 459*y - 464*y = 5 for y. -1 Solve -4*i = -7*i for i. 0 Solve -2*h - 61 = -71 for h. 5 Solve 15*u - 64 = -u for u. 4 Solve 8*q - 103 + 151 = 0 for q. -6 Solve -640*b = -637*b - 15 for b. 5 Solve 14 = -4*m + 6 for m. -2 Solve -12 = 14*z - 11*z for z. -4 Solve -6*w - 13*w = -114 for w. 6 Solve -3*u + 2 + 10 = 0 for u. 4 Solve 5*p = 4*p + 5 for p. 5 Solve 5*i - 8 - 12 = 0 for i. 4 Solve 23*r + 24 = 1 for r. -1 Solve 9 = -4*g + 1 for g. -2 Solve 24*f + 106 = -82*f for f. -1 Solve 0 = 90*i + 644 + 346 for i. -11 Solve 10*q - 4*q = q for q. 0 Solve -11*w + 36 = -2*w for w. 4 Solve 18 - 43 = 5*b for b. -5 Solve -h - 14 = -18 for h. 4 Solve -2*a + 9 = -11*a for a. -1 Solve -2*r - 31 = -41 for r. 5 Solve m = -m + 2 for m. 1 Solve -42*y + 131 = 467 for y. -8 Solve -2*l = 6*l + 5*l for l. 0 Solve -72*v - 56 = 16 for v. -1 Solve 20*q - 17*q = 12 for q. 4 Solve 22*x - 24*x - 12 = 0 for x. -6 Solve 16*z - 198 = 82*z for z. -3 Solve -34 = -3*b - 37 for b. -1 Solve 165*y - 12 = 168*y for y. -4 Solve 0 = -25*q + 32*q for q. 0 Solve 15*f + 11*f - 234 = 0 for f. 9 Solve -1 = 7*c - 8 for c. 1 Solve 0 = 16*b + 16*b - 128 for b. 4 Solve 0 = o + 170 - 164 for o. -6 Solve 329 = 14*y - 61*y for y. -7 Solve 0 = 19*x - 3*x + 16 for x. -1 Solve -66*q + 74*q - 24 = 0 for q. 3 Solve 9 = 20*z + 9 for z. 0 Solve 36*a = 56*a + 40 for a. -2 Solve 7*x - 22 + 36 = 0 for x. -2 Solve 0 = 4*s + 18 + 2 for s. -5 Solve -13*w + 2 = -15*w for w. -1 Solve -11*i + 16*i = -25 for i. -5 Solve -9 = -67*l + 70*l for l. -3 Solve 0 = -31*b + 32*b - 4 for b. 4 Solve 66*a - 59*a + 28 = 0 for a. -4 Solve 73*c - 33 = 62*c for c. 3 Solve 9*d - 2 = 7*d for d. 1 Solve 11*q - 534 = 100*q for q. -6 Solve 6 + 23 = -29*d for d. -1 Solve -62*j - 80 = -22*j for j. -2 Solve -127*t - 6 = -126*t for t. -6 Solve -27*q = -22*q - 10 for q. 2 Solve -112 + 28 = 14*z for z. -6 Solve 17*d + 292 - 224 = 0 for d. -4 Solve 0 = 8*z - 49 + 1 for z. 6 Solve -2623*a + 30 = -2628*a for a. -6 Solve -376*k = -391*k for k. 0 Solve 43*c + 168 = 82 for c. -2 Solve -29 + 49 = -4*y for y. -5 Solve 0 = -3*i + 2*i + 3 for i. 3 Solve 21*n + 40 = 26*n for n. 8 Solve -29*m + 1 = -57 for m. 2 Solve 13*y = -24*y + 74 for y. 2 Solve 10*b - 4*b = -6 for b. -1 Solve -8*h + 18 = -6 for h. 3 Solve 3*x = 23*x + 20 for x. -1 Solve -245 = -6*d - 185 for d. 10 Solve -356 = 44*y - 48 for y. -7 Solve -17*r - 84 = 4*r for r. -4 Solve z - 265 = -261 for z. 4 Solve 18*q - 106 = -70 for q. 2 Solve -6 = 12*m + 18 for m. -2 Solve -53*n = -25*n + 56 for n. -2 Solve 0 = -24*i + 14*i + 10 for i. 1 Solve 6 - 26 = -5*o for o. 4 Solve 3*j = -3*j + 12 for j. 2 Solve 0 = -8*c + 1293 - 1301 for c. -1 Solve -5*x - 91 + 96 = 0 for x. 1 Solve 0 = 4*f - 16 + 28 for f. -3 Solve 238*l = 242*l - 16 for l. 4 Solve -96*p + 5*p = 0 for p. 0 Solve 0 = -3*u - 22 + 16 for u. -2 Solve -57*x = -22*x + 175 for x. -5 Solve 14*z + 31*z = -360 for z. -8 Solve -5*s - 14 = -39 for s. 5 Solve 56*q = 36*q + 20 for q. 1 Solve 1034*i = 1043*i - 18 for i. 2 Solve 45 = 16*m + 13 for m. 2 Solve -4609 = -5*z - 4589 for z. 4 Solve 0 = -5*v + 9 - 14 for v. -1 Solve -154 = -3*r - 175 for r. -7 Solve 5*t + 11*t + 96 = 0 for t. -6 Solve -47*k - 3 = -3 for k. 0 Solve 9*w + 16 = -29 for w. -5 Solve 12*h + 12 = 24*h for h. 1 Solve 21*q = 20*q + 5 for q. 5 Solve 0 = 14*v - 11*v + 9 for v. -3 Solve -5*q - 35 = 2*q for q. -5 Solve 12 = -2*o + 8 for o. -2 Solve 4*o + 8 = -4 for o. -3 Solve 0 = -19*j - 326 + 516 for j. 10 Solve 0*v = -2*v + 3*v for v. 0 Solve 19*s = 63 - 6 for s. 3 Solve 151 = -49*p - 45 for p. -4 Solve 30*n - 467 + 497 = 0 for n. -1 Solve -9*x = -12*x - 9 for x. -3 Solve 71*w = -10*w + 729 for w. 9 Solve 0 = -n - 0*n + 3 for n. 3 Solve 25*j - 33 + 8 = 0 for j. 1 Solve k - 1 = -0*k for k. 1 Solve -272*t = -308*t - 216 for t. -6 Solve 0 = 10*g + 17 + 3 for g. -2 Solve 0 = 74*u - 82*u - 72 for u. -9 Solve -22*c - 6*c = -112 for c. 4 Solve -7*j - 40 = -12 for j. -4 Solve 4*g = g - 12 for g. -4 Solve 0 = 18*a + 32 - 122 for a. 5 Solve 19 = -q + 18 for q. -1 Solve -6*a - 10 - 2 = 0 for a. -2 Solve 9*v - 7*v - 4 = 0 for v. 2 Solve -3*b = 30 - 9 for b. -7 Solve 5*d - 11 - 9 = 0 for d. 4 Solve 516 = -101*r - 191 for r. -7 Solve 72*z + 2*z - 148 = 0 for z. 2 Solve 0 = 21*n + 19*n - 240 for n. 6 Solve 0 = -2*z + 20 - 12 for z. 4 Solve 10*w + 36*w + 322 = 0 for w. -7 Solve -13*g = g - 56 for g. 4 Solve 8 = -367*u + 359*u for u. -1 Solve -2*p = -3*p + 5*p for p. 0 Solve -4 + 34 = 10*n for n. 3 Solve s + 20*s = 147 for s. 7 Solve -8*l = l - 18 for l. 2 Solve -2*q = -7 + 15 for q. -4 Solve 4 = 9*t - 14 for t. 2 Solve 41*j = -14*j - 440 for j. -8 Solve -15*p = -81 + 51 for p. 2 Solve 8*w + 4 = 7*w for w. -4 Solve -8 = 4*q + 4 for q. -3 Solve 22*b = 20*b for b. 0 Solve -18*p + 16*p = -2 for p. 1 Solve 3*k + 64 - 52 = 0 for k. -4 Solve -235*v = -241*v - 36 for v. -6 Solve 23*t - 12 = 29*t for t. -2 Solve -78*q = -56*q - 132 for q. 6 Solve 2 = 13*g - 12*g for g. 2 Solve 6*o + 30 = -0*o for o. -5 Solve -3*n + 0*n = 6 for n. -2 Solve 59 - 271 = 53*m for m. -4 Solve -y = 2*y - 6 for y. 2 Solve -2*c = 17*c - 76 for c. 4 Solve -16*t = -8*t - 8 for t. 1 Solve 0 = -7*o - 93 + 51 for o. -6 Solve 3 = 15*f - 16*f for f. -3 Solve -5 = -17*a + 12*a for a. 1 Solve -g + 18*g + 51 = 0 for g. -3 Solve -73*g - 14 = -71*g for g. -7 Solve -6*s - 25 = 5 for s. -5 Solve 5*w + 6*w = 3*w for w. 0 Solve -411 = 19*h - 468 for h. 3 Solve 4*k + 9*k - 39 = 0 for k. 3 Solve -2 = 10*d + 8 for d. -1 Solve 16 = 212*u - 208*u for u. 4 Solve 20*y = 19*y + 7 for y. 7 Solve -y - y = -6 for y. 3 Solve 0 = -90*r + 78*r + 120 for r. 10 Solve -8659 = -5*u - 8644 for u. 3 Solve -2*g - 26 = -36 for g. 5 Solve -12 = -5*m + 9*m for m. -3 Solve 35 - 75 = 10*g for g. -4 Solve -65 = -3*p - 59 for p. 2 Solve -49*i = -195*i for i. 0 Solve 22*l + 80 = 256 for l. 8 Solve 46*d = 48*d - 6 for d. 3 Solve 860*u - 856*u + 24 = 0 for u. -6 Solve 0 = -22*h + 19 + 3 for h. 1 Solve -26*z + 22*z + 4 = 0 for z. 1 Solve -385 = -8*a - 425 for a. -5 Solve 287 = 8*i + 231 for i. 7 Solve -o + 5 = 8 for o. -3 Solve -1 = 7*m + 13 for m. -2 Solve -8*y - 22 = -22 for y. 0 Solve 0 = -28*v + 32*v + 12 for v. -3 Solve 21*j - 15*j - 24 = 0 for j. 4 Solve 6 = 2*b + b for b. 2 Solve 0 = -n + 6*n + 10 for n. -2 Solve -12*t - t = -52 for t. 4 Solve 15 = -6*r - 9 for r. -4 Solve q - 6*q = 10*q for q. 0 Solve 11*f + 56 = -10 for f. -6 Solve 38 = -7*o + 24 for o. -2 Solve -3*t - 8 = 4 for t. -4 Solve 9 - 77 = 68*a for a. -1 Solve 53*g + 11 = -42 for g. -1 Solve 0 = -343*m + 368*m + 25 for m. -1 Solve -11*w = -16 - 50 for w. 6 Solve 60 - 236 = -44*g for g. 4 Solve -12 = -19*j + 23*j for j. -3 Solve 56*t - 50*t - 30 = 0 for t. 5 Solve 0 = -179*c + 57*c - 1220 for c. -10 Solve -5 + 0 = -5*u for u. 1 Solve 11*b = 2*b - 18 for b. -2 Solve 21*n = 18*n + 9 for n. 3 Solve -b + 34 = 37 for b. -3 Solve -16 = 3*q - 1 for q. -5 Solve -183 = -8*t - 119 for t. 8 Solve 17*c + 91 = -74*c for c
{ "pile_set_name": "DM Mathematics" }
9/20 or 0? 0 Which is smaller: -0.14 or -147? -147 Which is bigger: 1/96 or 7/24? 7/24 Is 732.6 > -1/6? True Is 285/7 at least 2/7? True Which is smaller: -1/5 or 1209? -1/5 Do 592 and 592 have the same value? True Is 7 greater than or equal to 141/22? True Which is smaller: -2752 or -2? -2752 Which is bigger: 1 or -7/53? 1 Do 4669 and 4669 have different values? False Is 4 at most as big as -0.0135? False Which is greater: 2540/9 or 281? 2540/9 Is 1 at least 42/29? False Is -170 at most as big as -172? False Which is bigger: 0 or 6/29? 6/29 Is 2 < 61? True Which is smaller: -159 or -158? -159 Is -1 greater than -2/22229? False Is -5 > -50/11? False Which is smaller: -7 or -0.3? -7 Do 1 and -64/271 have different values? True Is -1 at most as big as 1/56? True Which is smaller: -0.5 or 1/30? -0.5 Is 932 smaller than 940? True Which is smaller: -208 or 2? -208 Which is greater: -2.4 or 22/9? 22/9 Which is bigger: 3 or 10.89? 10.89 Is 1/2 <= 0? False Which is greater: 6 or 308/45? 308/45 Which is bigger: -628 or -626? -626 Are -84 and -65 non-equal? True Which is smaller: 0 or -6/3689? -6/3689 Do 14488 and 14488 have the same value? True Does -558 = -557? False Is 1 less than or equal to 2/2209? False Is -2/3 greater than or equal to -97.3? True Do 29/15 and 2 have different values? True Is -504 at most as big as -2516/5? True Which is smaller: -59 or 29? -59 Is 846 smaller than 846? False Which is smaller: 0.09 or 3.081? 0.09 Are -278 and -0.1 nonequal? True Which is bigger: 94 or 93? 94 Which is bigger: 12836 or 12835? 12836 Which is smaller: -0.037 or 1.05? -0.037 Which is smaller: 432 or 434? 432 Which is bigger: 223 or 221? 223 Is -9/349 smaller than -1? False Which is smaller: 8 or -0.95? -0.95 Is 4 bigger than 96/29? True Which is smaller: 55/13 or 37? 55/13 Which is greater: -13 or -11? -11 Are -21 and 0 unequal? True Which is bigger: 0.2 or 10/89? 0.2 Is 5 < 39/7? True Which is smaller: 3/1024 or 1? 3/1024 Is -1/399 at least 0.062? False Which is greater: -121 or -127? -121 Is -1 less than -23/403? True Is -1237 less than or equal to -1237? True Which is bigger: -268 or -279? -268 Which is bigger: 945 or 940? 945 Is 526 >= 527? False Are -38 and 11/3 non-equal? True Is -15345 greater than or equal to -15345? True Which is bigger: 5181 or -0.04? 5181 Which is smaller: 77 or 81? 77 Which is greater: 1 or 2/19755? 1 Is -1/4 >= -44/37? True Which is bigger: -125 or 5? 5 Are 349 and 349 unequal? False Which is greater: 78 or 80? 80 Which is greater: -1 or -10/181? -10/181 Which is bigger: 0 or -3/2654? 0 Is 1 less than 8/2077? False Which is greater: -37/4 or -8? -8 Which is bigger: 7 or 2/873? 7 Which is bigger: 1 or 11/142? 1 Is -2 > -72? True Which is greater: -419 or 2/7? 2/7 Is 1 at least as big as -8123? True Is 8617 at most as big as 8616? False Is 42 at least as big as 915/22? True Is 151 > 5? True Are 74 and 133 equal? False Are -0.1 and 0.017663 equal? False Which is greater: -617 or -0.1? -0.1 Is 9 at least 11? False Which is smaller: -1/30366 or 0? -1/30366 Which is smaller: 0 or 174? 0 Is -445 < -450? False Is -120 smaller than -134? False Is -1 < -6/5395? True Is -120 smaller than -120? False Which is bigger: -966/13 or -75? -966/13 Which is greater: -52043 or -1? -1 Is 1024 greater than 1025? False Which is smaller: 39 or 38? 38 Which is smaller: -2/13 or -18? -18 Which is smaller: -170 or 2/7? -170 Do 61 and 49 have different values? True Is 154 at least as big as 774/5? False Is -64 less than or equal to -65? False Is 13886 at least as big as 13886? True Do 1/2307 and 1 have the same value? False Is 1/52 smaller than 1? True Is 12 greater than -0.16? True Which is smaller: 56 or 609/11? 609/11 Is 7/558 at least as big as 0? True Is -1 at least as big as -139? True Which is greater: -2847 or 6? 6 Which is greater: 17 or 517? 517 Is 102 at most as big as -1.2? False Is 0 bigger than 13/2265? False Which is smaller: 1346 or 1347? 1346 Do 3/22 and 1.1 have the same value? False Which is bigger: 15 or -48? 15 Which is bigger: 64 or 0.3? 64 Is -29/102 >= 1? False Which is smaller: -9207 or -9209? -9209 Is -17 smaller than -17? False Is -1 >= -1/2593? False Is -0.1 > -4188? True Is -459 at least as big as -459? True Is 7/2356 at most 1? True Which is smaller: 981 or 982? 981 Is -36 at least as big as 32? False Is 18/113 greater than or equal to 1? False Is 498 less than 2/37? False Which is smaller: 90/31 or 3? 90/31 Which is smaller: 914 or 909? 909 Which is bigger: 858 or 855? 858 Which is bigger: -3752 or -4? -4 Is -1/3 < 0.3684? True Is -1654 greater than or equal to -1654? True Which is smaller: 0 or 0.07498? 0 Which is smaller: 4/81 or -1? -1 Is 1 > 2/12415? True Is -253 smaller than 2/7? True Do -1389/31 and -46 have the same value? False Which is smaller: 2/189 or 0.2? 2/189 Which is bigger: 158 or 157? 158 Are 3.6 and -0.49 unequal? True Which is bigger: -1 or 1/1562? 1/1562 Which is smaller: -1 or -1/1035? -1 Is -6111 less than or equal to -6111? True Is -1261 smaller than -1259? True Is 2 at least 2? True Does -2/7 = 0.48? False Which is smaller: -193 or 0.1? -193 Are -1 and -3/65 nonequal? True Which is bigger: 1 or -19/2? 1 Which is smaller: 2280/7 or 327? 2280/7 Are 1 and 4/435 unequal? True Which is smaller: 33 or 44? 33 Do -1 and 18 have the same value? False Is -60 <= 0? True Is -956 less than -958? False Which is greater: 279 or 278? 279 Which is smaller: 4/7 or -4/33? -4/33 Which is smaller: 216 or 2/5? 2/5 Which is smaller: 109 or -1? -1 Which is bigger: -5.88 or -5? -5 Is -1 greater than -1/206? False Is 2/4343 less than or equal to -1? False Is -14999 greater than -14998? False Is 110 > 110? False Which is smaller: -980 or -978? -980 Are -2 and 0.067 non-equal? True Is -73 > -74? True Which is smaller: 0 or -3/622? -3/622 Which is greater: -260 or -258? -258 Which is bigger: -30984 or -30985? -30984 Do -980 and -981 have the same value? False Which is smaller: 2/9 or -73? -73 Which is smaller: 301 or 9? 9 Is -39 <= -58? False Which is smaller: 3702.9 or -1/2? -1/2 Does 2041/10 = 203? False Is -465/61 less than or equal to -7? True Is -1053 smaller than -1051? True Is -5 >= 3/4? False Is -2 bigger than 3? False Which is greater: 59 or 55? 59 Is 684 bigger than 707? False Which is bigger: 810 or 2432/3? 2432/3 Is 1707 greater than or equal to 1707? True Is 56 < 276/5? False Which is greater: -84.17 or 0? 0 Is 3779 not equal to -1? True Is -2/5 < 3/130? True Is -819 bigger than 7? False Which is bigger: 5143 or -0.1? 5143 Which is bigger: 38 or 25? 38 Which is greater: 4/257 or -1? 4/257 Which is smaller: 742 or 739? 739 Does 31 = 42? False Is 1/25 at most -0.621? False Is -1 at most as big as 50? True Is 2/7613 > 0? True Which is bigger: 101 or 104? 104 Is -640 equal to -689? False Which is greater: 1549 or 6193/4? 1549 Which is bigger: 6940 or 6939? 6940 Is -51/11 at most -1/3? True Is -2/10963 at least as big as -1? True Is 2/13345 <= -2/9? False Is -21/193 < -1? False Which is greater: 681 or 679? 681 Is 17.8 >= 1/3? True Which is bigger: 2 or -16654? 2 Is -4 bigger than 7/79? False Is 1 >= -15/847? True Is -6/109 bigger than -1? True Which is smaller: -2/6373 or -1? -1 Which is smaller: 5251/4 or 1312? 1312 Are -0.1 and -0.084 equal? False Is -439 at most as big as -447? False Is -237 equal to -234? False Is -265 greater than or equal to -268? True Are 4958/9 and 550 nonequal? True Does 141 = -2/7? False Is -616 equal to -617? False Which is greater: 41/2 or 21? 21 Do 3 and -49 have the same value? False Which is greater: 4/3 or 54? 54 Which is greater: -121 or -119? -119 Which is bigger: -1 or -2076? -1 Which is smaller: 40 or 38? 38 Which is greater: 46 or 42? 46 Which is smaller: -2538 or -2537? -2538 Is -22/87 >= 0? False Does 1/5871 = 1? False Which is smaller: -353 or -359? -359 Which is smaller: -1 or 2/18087? -1 Is 46 > 49? False Is 16 at most 103/6? True Are -2/5 and 29.93 unequal? True Is -2/33 greater than or equal to -1573/2? True Is -69 smaller than 30? True Are -2/7 and -0.1147 equal? False Which is smaller: -1 or -1/6382? -1 Is 0 greater than -4/3029? True Which is smaller: -10 or -14? -14 Which is smaller: 119 or 118? 118 Are -30 and -241/8 non-equal? True Is -1/2211 >= 0? False Which i
{ "pile_set_name": "DM Mathematics" }
4 = k. Let j be 10/((-3)/741*q). Let l = j - -605. What is l rounded to the nearest 100? -600 Let i = 11742567.4999979 + -11742566. Let s = -1.5 + i. Round s to six decimal places. -0.000002 Let h = -11451987 - -3551987. Round h to the nearest 1000000. -8000000 Suppose b + 6 = -5*s, s - 2*b + 1 - 2 = 0. Let c be (-11604)/2 + 3 + s. Round c to the nearest one thousand. -6000 Let v be (-4)/(-18) + (-8731987)/(-9). Let q = v + -1890221. Round q to the nearest 100000. -900000 Let p be 258530/3 + 4/(-6). Suppose 5*v = 13824 + p. What is v rounded to the nearest 100000? 0 Let o = -8.8 + 0.8. Let d = o - -8.000028. What is d rounded to five decimal places? 0.00003 Let t = -509.9769 - -510. Let q = 0.03 - t. Round q to 3 decimal places. 0.007 Let z(s) = -27600*s + 6. Let b be z(-3). Suppose 22006 - b = 4*g. What is g rounded to the nearest 1000? -15000 Let v(i) = i - 5. Let q be v(6). Let f(u) = 5*u**2 - 2*u + 1. Let r be f(q). Suppose 9*z - r*z + 75000 = 0. What is z rounded to the nearest ten thousand? -20000 Let y = -3831815.0139 + 3832071. Let w = y + -256. What is w rounded to three decimal places? -0.014 Let g = 0.3361420522 + -32.3361427622. Let l = -32 - g. Round l to seven decimal places. 0.0000007 Let z = -458589 + 118589. What is z rounded to the nearest one hundred thousand? -300000 Let q = -2.9 - -5.8. Round q to the nearest integer. 3 Suppose -d + 637 = -303. What is d rounded to the nearest one hundred? 900 Let f(o) = -68*o**2 + 5*o - 3. Let x be f(-5). Let k be (1000/6)/(3/x). What is k rounded to the nearest ten thousand? -100000 Let b = 0.138163 - 0.138. Round b to five dps. 0.00016 Suppose -101499992 = 5*x + 4*k, -2*x - 17433770 - 23166240 = -5*k. What is x rounded to the nearest 1000000? -20000000 Let l(d) = d**2 - 10*d + 12. Let g be l(9). Suppose -1 = -g*m - 4. Round m to the nearest 10. 0 Suppose 4*c = -5*b - 810891 - 377752, -5*b + 1485860 = -5*c. Let m = 175167 + c. Round m to the nearest ten thousand. -120000 Let f = -1390527279.99985 - -1390575625. Let n = f + -48344. Let a = n + -1. What is a rounded to four dps? 0.0002 Suppose -4*h = -5*o - 24970, -13304 = 2*o + h - 3303. Let w be (-320)/(2 - o/(-2500)). What is w rounded to the nearest one million? 0 Let r(t) be the first derivative of -7*t**4/6 - t**3/6 + t**2 + 2. Let h(q) be the second derivative of r(q). Let w be h(-1). Round w to the nearest 10. 30 Let t = 54 + 117. Let a = 178.3 - t. Round a to the nearest integer. 7 Let s = 0.01 + 1.49. Let c = 1.499955 - s. What is c rounded to 5 dps? -0.00005 Suppose 21876 + 33540 = -4*c. Let a = c - -8054. Round a to the nearest 1000. -6000 Let q = 496743 - 293039. Let n = q + 396296. What is n rounded to the nearest one hundred thousand? 600000 Let p be 2*(-3)/(-9) + 182384/24. What is p rounded to the nearest one thousand? 8000 Let h = -2.899 + 3.07. What is h rounded to 2 decimal places? 0.17 Let z = 2.3 + -0.1. Let o = 1 + 1. Let m = o - z. What is m rounded to the nearest integer? 0 Let b = -2059084251.0000166 + 2059084437. Let z = 186 - b. What is z rounded to 6 decimal places? 0.000017 Let b = 23 - 51. Let w = 28.0000058 + b. What is w rounded to 6 decimal places? 0.000006 Let c = 9.99 + -65.29. Let i = -35 - 17. Let l = c - i. Round l to the nearest integer. -3 Let r = 0.9999772 + -1. What is r rounded to five dps? -0.00002 Let i = 7 + -7.6. Let r = -0.608 - i. What is r rounded to two dps? -0.01 Let j = 432 + 3. Let c = j + -404.9. Round c to the nearest integer. 30 Suppose -4*n + 4*f = 9440008, 2*n - 7*n + 2*f = 11800004. What is n rounded to the nearest 100000? -2400000 Suppose 2*p - 8719 + 1817 = 0. Suppose 5*g = -r - 4815, 3*g + p = 5*r + 27442. What is r rounded to the nearest 1000? -5000 Let c = 0.48 + -0.48021. What is c rounded to 4 decimal places? -0.0002 Let d = 145 + -144.99999881. Round d to 7 decimal places. 0.0000012 Let q = 60.37 + -0.37. Let t = 59.909977555 - -0.089983445. Let g = q - t. What is g rounded to 5 dps? 0.00004 Suppose 4*n - 45 = -5*a, -30 = -a - a - 4*n. Let v = a - -4. Round v to the nearest integer. 9 Let c = -6 + 9. Let q = c - 3.05. Round q to one dp. -0.1 Let c = 55 + -56.35. Let l = 1306 + -1304.6378. Let n = c + l. What is n rounded to three dps? 0.012 Let r = -0.418305784 + 5.018305244. Let n = -4.6 + r. What is n rounded to seven dps? -0.0000005 Let x = 0.02 + 0.09. Let s = x + -0.16. Round s to 1 decimal place. -0.1 Let n(a) = -120*a**3 - 2*a**2 + 7*a - 4. Let k = 7 - 3. Let b be n(k). Let o = b - -5288. What is o rounded to the nearest one thousand? -2000 Let h = 4 + -3.4. Let z = h + -0.60004. Round z to five decimal places. -0.00004 Let x = -1293 - -1293.000000549. Round x to seven decimal places. 0.0000005 Let a(b) = 4*b**3 - b**2 + b. Let s be a(1). Suppose -s = -2*v + 4*d, v + 4*d + 8 = -8. What is v rounded to zero dps? -4 Let k = 43.1 - 47. Let g = k + -0.1. Let l = -3.992 - g. Round l to two decimal places. 0.01 Let q = 0.86 - -70.14. Let u = q + -70.99942. Round u to 4 decimal places. 0.0006 Let d = 0.036 + -0.03599963. What is d rounded to 7 dps? 0.0000004 Suppose l + 0*l = -2. Let v(w) = -498*w + 4. Let b be v(l). Round b to the nearest 10000. 0 Let o = 43 + -43.36. Round o to one decimal place. -0.4 Let n = 16 - 13. Suppose -n = -z - 2*z. What is z rounded to 1 decimal place? 1 Let w = 7 + -6.984. What is w rounded to two dps? 0.02 Let u = -0.4 - -0.95. What is u rounded to 1 decimal place? 0.6 Let n = -7 + 13. Let k(r) = 25001*r - 6. Let t be k(n). Round t to the nearest 100000. 200000 Let s(g) = -5*g**2 + 11*g + 8. Let u = -8 - 0. Let o be s(u). What is o rounded to the nearest 1000? 0 Let q = 113.00000101 + -113. What is q rounded to 7 dps? 0.000001 Let j = 98288.225 + -98287.17499939. Let u = 1.05 - j. Round u to seven dps. -0.0000006 Let z = 0.53017651 - -0.2398231. Let d = z + -0.77. Round d to seven decimal places. -0.0000004 Let f = -22.4 - -27. Let t = f - 4.6042. What is t rounded to 3 decimal places? -0.004 Let p = -137.0000067 + 137. What is p rounded to six decimal places? -0.000007 Let z = 11.097 - 11.160942. Let c = 0.464 + -0.4. Let q = c + z. Round q to 5 dps. 0.00006 Let h = 0.93 + -0.9. Let b = 2.83 - h. What is b rounded to zero dps? 3 Let d = -3.04 + 3.271. What is d rounded to two dps? 0.23 Let n = -38 - -55. Let z = -13.3 - 0.2. Let i = z + n. Round i to the nearest integer. 4 Let a = -18 + 17.9993. Round a to three decimal places. -0.001 Let l = -104 + 103.57. Let d = 0.0388 - -6.9912. Let q = d + l. What is q rounded to zero decimal places? 7 Let i be (-2 - 4/(-2))/1. Let y = i + 2. Suppose 2140952 - 700952 = -y*o. What is o rounded to the nearest 100000? -700000 Let i = 1297 + -1310.0069. Let t = i + 13. Round t to three decimal places. -0.007 Suppose 4*c = -3*w - 11, -3*w - 11 = 3*c - 2. Let z be 6 - (4 - (1 - w)). Suppose -n + z*n - 66 = 0. Round n to the nearest ten. 20 Let o(l) = -9*l**2 + 2*l + 1. Let a be o(-1). Let q(r) = 3*r**3 + 15*r**2 + 7*r + 10. Let g be q(a). What is g rounded to the nearest one hundred? -1600 Let i = 6.768231 - 7.86823125. Let f = i + 1.1. Round f to seven decimal places. -0.0000003 Let z = 65.0633 + -57.063. Let s = 6.9 - -1.1. Let a = s - z. What is a rounded to four dps? -0.0003 Let n = 1.5 - 4.5. Let d = n + 2.9999955. Round d to six dps. -0.000005 Let y = 3.13 - -388.87. Let k = 234 - y. Let t = 158.0091 + k. What is t rounded to 3 decimal places? 0.009 Suppose -156276 = 3*y - 3280944. Suppose 5*n = 4458444 + y. What is n rounded to the nearest one hundred thousand? 1100000 Suppose 182675 = 5*i - 19460. Suppose -2*k + i = 820427. Round k to the nearest one hundred thousand. -400000 Let s = 113.0079 + -113. What is s rounded to 3 dps? 0.008 Let h = -118.861 - -119. What is h rounded to two decimal places? 0.14 Suppose -m + 5*m - 100 = 0. Let v be 2995/m + (-1)/(-5). Round v to the nearest ten. 120 Let n = 11 - 12.2. Let q = 1.20000072 + n. What is q rounded to seven decimal places? 0.0000007 Let z = 19.4 - 19.6. Round z to 2 decimal places. -0.2 Let s(q) = -q**3 + 7*q**2 - 3*q - 6. Let f be s(7). Let z be 4/18 - 75/f. Let i be (22/z)/((-1)/(-3)). What is i rounded to the nearest ten? 20 Let l = -0.1099986 + 0.11. Round l to six decimal places. 0.000001 Let o = 6 + -6.3. Let c = 19.3 + o. Let z = c + -1
{ "pile_set_name": "DM Mathematics" }
**2 - 583 - 223*c**3 + 35*c**4 - 178*c**3 + 193*c**3 - 677 = 0. -3/7, 3, 4, 7 Let d(g) = 57*g**2 + 256*g - 8. Let k(u) = -7*u**2 - 6*u + 1. Let r(z) = -3*d(z) - 24*k(z). Factor r(c). -3*c*(c + 208) Suppose 202*v + 276 - 383*v - 229*v + 155*v**2 - 23*v**2 + 2*v**3 = 0. Calculate v. -69, 1, 2 Let g(s) be the first derivative of -3*s**4 + 4*s**3 - 4. Let r(x) = 4*x**2 - x**3 - 14*x - 3*x**2 + 14*x. Let p(k) = -g(k) + 15*r(k). Solve p(y) = 0. 0, 1 Let b(g) = 13*g**3 - 5*g**2 + 9*g + 1. Let v be b(3). Let m = 339 - v. Determine o so that -36/7*o**2 + 2*o**4 + 20/7*o**3 - 54/7*o + 2/7*o**m + 54/7 = 0. -3, 1 Let z(q) = 3*q + 8 - 5*q + 2*q**3 - 22*q**2 - q**3 - 27*q**2 + 46*q**2. Let m be z(3). Factor -26/9*u**3 + 10/9*u**4 + 2/9*u + 2*u**m - 4/9. 2*(u - 1)**3*(5*u + 2)/9 Let z(f) = 89*f + 184. Let l be z(-2). Let c(k) be the first derivative of 1/12*k**l - 7/6*k**3 + 0*k - 1/2*k**5 + 1/2*k**2 - 21 + 9/8*k**4. Factor c(q). q*(q - 2)*(q - 1)**3/2 Suppose -11*v - 4*n - 3548 = -15*v, -4*n = 5*v - 4471. Let p = 893 - v. Let -2/15*w**p + 8/15 - 2/5*w = 0. Calculate w. -4, 1 Let y(f) be the third derivative of -f**6/1260 - 19*f**5/630 + f**4/6 - 958*f**2. Find a such that y(a) = 0. -21, 0, 2 Suppose 246*l = 251*l + 3*d - 13, -2*d + 6 = 2*l. Let c = -165/4 - -42. Factor c*u**4 + 0 + 0*u - 3/4*u**3 + 0*u**l. 3*u**3*(u - 1)/4 Factor 18/7*r**3 + 48/7 + 164/7*r - 230/7*r**2. 2*(r - 12)*(r - 1)*(9*r + 2)/7 Let z = -957 + 13401/14. Let m(h) be the first derivative of 1/7*h**3 - z*h**2 + 3/28*h**4 - 3/7*h + 7. Let m(k) = 0. What is k? -1, 1 Let o be ((-61)/(-3))/(2/72). Let z = 5132/7 - o. Factor -z + 4/7*j**2 - 4/7*j. 4*(j - 2)*(j + 1)/7 Let i(s) be the second derivative of s**4/4 + 8*s**3 - 1395*s**2/2 - 8824*s. Suppose i(l) = 0. Calculate l. -31, 15 Let k(g) be the third derivative of -g**8/1008 - g**7/210 + g**6/24 + 11*g**5/36 + g**4/12 - 4*g**3 + 5434*g**2. Determine a so that k(a) = 0. -3, -2, 1, 4 Let k be (5 - 4)*-3 - -3 - -22. Suppose -15*r - 34*r + 5*r**2 + 41*r - k*r = 0. What is r? 0, 6 Let p(y) be the second derivative of 5*y - 23/45*y**3 + 1/50*y**5 - 7/45*y**4 + 3 - 2/5*y**2. Factor p(u). 2*(u - 6)*(u + 1)*(3*u + 1)/15 Let h(o) = 2*o**2 + 140*o + 2250. Let f be h(-45). Let i(a) be the first derivative of -2 + f*a + 8/27*a**3 - 1/3*a**2 - 1/18*a**4. What is y in i(y) = 0? 0, 1, 3 Let g(u) = 18*u**2 - 1. Let p be g(1). Suppose 0 = -3*i + r + 15 - 7, 4*i = -5*r + p. Factor 1/3*x**4 - x + x**i + 4/3 - 5/3*x**2. (x - 1)**2*(x + 1)*(x + 4)/3 Let c be (40 - 12 - 52)/(1 + (-10006)/10000). Determine d, given that c + 20*d**3 + 600*d**2 + 1/4*d**4 + 8000*d = 0. -20 Let v be 3*((-12)/9 + 2/6). Let q be (6 - (-285)/(-50))/(v/(-16)). Suppose 4/5 + 4/5*r**2 + q*r = 0. Calculate r. -1 Let z(y) be the second derivative of y**4/12 + 59*y**3/3 + 117*y**2/2 - 1558*y. Determine h, given that z(h) = 0. -117, -1 Factor 36*f**3 - 3750*f + 0 - 3/8*f**4 - 1575/2*f**2. -3*f*(f - 50)**2*(f + 4)/8 Let y(k) be the third derivative of k**6/8 - 5*k**5/3 + 5*k**4/2 + 7*k**2 + 11. Find p, given that y(p) = 0. 0, 2/3, 6 Let x(t) be the third derivative of t**6/60 - 29*t**5/6 - 293*t**4/12 - 49*t**3 - 911*t**2 - t. Find v such that x(v) = 0. -1, 147 Let n(k) = -54*k**3 + 2*k**2 - 4. Let i(h) = -67*h**3 + 3*h**2 - 5. Let d(l) = -4*i(l) + 5*n(l). Factor d(p). -2*p**2*(p + 1) Factor 4 - 11/3*s - 1/3*s**2. -(s - 1)*(s + 12)/3 Let d(v) be the second derivative of -5/3*v**3 + 262*v - 1/48*v**4 + 0 + 0*v**2. Factor d(s). -s*(s + 40)/4 Let s = 3703/3 + -1229. Suppose 4*y + 34 = 21*y. Find v, given that 8/9*v**3 - 80/9*v + 28/9*v**y - 4/9*v**4 + s = 0. -3, 1, 2 Let m(u) = -3*u**3 - 2*u**2 + u. Let p(b) be the first derivative of -1/2*b**2 + 1/3*b**3 + 1/4*b**4 + 2 + 0*b. Let n(d) = -m(d) - 4*p(d). Factor n(a). -a*(a - 1)*(a + 3) Let z(q) be the first derivative of 64/3*q**3 - 98 + 98*q**2 + 12*q. What is j in z(j) = 0? -3, -1/16 Let u(j) be the first derivative of 2*j**3 - 5/4*j**4 + 1/2*j + 3/10*j**5 + 59 - 3/2*j**2. Factor u(h). (h - 1)**3*(3*h - 1)/2 Let z(d) = -d**3 + d**2 + d. Let f = -122 + 136. Suppose -f = -7*k - 7*k. Let v(c) = 215*c**3 + 541*c**2 + 451*c + 125. Let g(x) = k*z(x) - v(x). Factor g(t). -(6*t + 5)**3 Let o(i) = -21*i + 431*i**2 - 437*i**2 - 45 + 0*i. Let a(z) = -11*z**2 - 43*z - 90. Let u(c) = -3*a(c) + 5*o(c). Factor u(p). 3*(p + 3)*(p + 5) Let p(u) be the first derivative of 0*u - 21 - u**3 + 9/2*u**2. Let p(c) = 0. What is c? 0, 3 Let w be 210/(-133)*18316/(-4338). Solve -1/3*y**2 - w + 7*y = 0. 1, 20 Let p(l) be the second derivative of -1/2*l**3 - 51*l - 3/2*l**2 + 0 + 1/4*l**4 + 3/20*l**5. Factor p(y). 3*(y - 1)*(y + 1)**2 Let d be ((-128)/(-192))/(14/2166). Let k = -2138/21 + d. Suppose -4/3*f - 2/3*f**2 + 0 + k*f**3 + 2/3*f**4 = 0. What is f? -2, -1, 0, 1 Factor -2/23*z**2 - 3230882/23 + 5084/23*z. -2*(z - 1271)**2/23 Let n(f) = -2*f**4 - 48*f**3 - 70*f**2 - 48*f + 16. Let d(c) = 3*c**3 - 2. Let a(v) = 8*d(v) + n(v). Solve a(m) = 0 for m. -8, -3, -1, 0 Let b = -70108 + 70112. Solve -2/5*h**2 + 6/5*h + b = 0. -2, 5 Let v(i) be the first derivative of -3*i**5/5 - 15*i**4/4 + 14*i**3 + 54*i**2 - 216*i + 1306. Let v(o) = 0. Calculate o. -6, -3, 2 Let t(g) be the first derivative of 1/6*g**3 + 1/4*g + 63 + 1/24*g**6 + 1/8*g**4 - 3/8*g**2 - 3/20*g**5. Factor t(o). (o - 1)**4*(o + 1)/4 Let i(g) be the third derivative of g**8/3360 - g**7/560 - g**6/720 + g**5/80 + 181*g**3/6 + 100*g**2. Let m(h) be the first derivative of i(h). Factor m(x). x*(x - 3)*(x - 1)*(x + 1)/2 Let i(v) = -v**3 + 2*v**2 - 1. Let r be i(-1). Let 97*h**r - 193*h**2 + 4*h + 92*h**2 = 0. Calculate h. 0, 1 Suppose -5*c + 58 - 18 = 0. Let u be -3 + 1 + 3 + 1. Factor u*k**2 + 6*k**3 - 9*k + 6*k**2 - c*k**4 + 3*k. -2*k*(k - 1)*(k + 1)*(4*k - 3) Let a(t) be the third derivative of t**7/210 + 49*t**6/60 - 841*t**5/60 + 371*t**4/12 - 6136*t**2. Determine y so that a(y) = 0. -106, 0, 1, 7 Suppose -5*x + 8 = -3*c + 317, 15*c + 2*x - 1140 = 0. Factor 15/4*k**3 - 99/4*k**2 - c*k - 27. 3*(k - 9)*(k + 2)*(5*k + 2)/4 Let r be 6 + (7 + -17 - -3). Let g be r/(-9) + (-4446)/(-810). Let 4*b + g*b**2 - 8/5 = 0. Calculate b. -1, 2/7 Factor 42*b + 53 - 315*b**2 + 43 + 336*b**2 - 3*b**3 - 456. -3*(b - 6)*(b - 5)*(b + 4) Let k(s) be the second derivative of -5*s**6/6 - 4*s**5 - 15*s**4/2 - 20*s**3/3 - 5*s**2/2 + 3469*s. Factor k(n). -5*(n + 1)**3*(5*n + 1) Suppose -3*u**5 + 4*u**2 - 252*u - 6*u**2 + 255*u**3 - 51*u**4 + 53*u**2 = 0. What is u? -21, -1, 0, 1, 4 Let y(g) be the first derivative of 39/4*g**2 + 1/2*g**3 + 0*g - 78. Factor y(k). 3*k*(k + 13)/2 Determine t, given that -11/4*t**2 + 1/4*t**3 - 56*t - 99 = 0. -9, -2, 22 Let b(g) be the second derivative of -49*g**5/5 + 1001*g**4/3 - 3050*g**3 - 11250*g**2 + 2*g + 1360. Find s, given that b(s) = 0. -1, 75/7 Let r(w) be the second derivative of -w**7/504 + 5*w**6/48 + 2*w**5/3 - 2*w**4 + 4*w - 4. Let l(h) be the third derivative of r(h). Factor l(i). -5*(i - 16)*(i + 1) Let k(t) = 16*t**2 - 38*t - 2. Let c(b) = -9*b**2 + 5*b - 9. Let i(q) = 5*q**2 - 3*q + 5. Let r(a) = -3*c(a) - 5*i(a). Let y(s) = k(s) - 3*r(s). Factor y(d). 2*(d - 4)*(5*d + 1) Let -1239*q**4 - 190*q**2 + 1234*q**4 - 280*q + 58*q**3 + 27*q**3 = 0. Calculate q. -1, 0, 4, 14 Suppose -26*g - 465 + 691 = 87*g. Factor -4/3*k**2 - g*k + 4/3*k**3 + 2*k**4 + 2/3*k**5 - 2/3. 2*(k - 1)*(k + 1)**4/3 Find y such that -12*y**2 + 15/4*y + 9/4*y**3 + 0 = 0. 0, 1/3, 5 Let w be -132 + 131 - (2/(-4))/((3/1)/30). Factor -1/6*l**w + 0 + 0*l**3 + 1/3*l + 1/2*l**2. -l*(l - 2)*(l + 1)**2/6 Suppose -4*b - 17 - 1 = 2*v, 0 = 5*b - 2*v. Let h(m) = m + 5. Let z be h(b). Factor 6*l - 3*l**4 + 14*l**3 + 5*l**2 - 2*l**2 - 20*l**z. -3*l*(l - 1)*(l + 1)*(l + 2) Let i be 1392/(-2900)*5*(1 - 5/4). Solve -6/5*u**3 - 9/5*u**2 - 12/5 + i*u**4 + 24/5*u = 0 for u. -2, 1, 2 Factor 19/4*i - 1/4*i**2 + 165/2. -(i - 30)*(i + 11)/4 Let x = 14054/49 + -655855/2303. Let w = x + -15/47. Factor -4/7*n**2 - w + 2*n. -2*(n - 2)*(2*n - 3)/7 Let p = -15 + 17. Let t(b) = b**2 - 340*b + 3. Let o be t(0). Factor -2/3*x**o + 0 - 2/3*x - 4/3*x**p. -2*x*(x + 1)**2/3 Let z = 39 + -36. Suppose -14*b + 15*b - z = 0. Factor -568*g**2 + 571*g**2 + 2*g + 3*g**3 - 3*g**3 + g**b. g*(g + 1)*(g + 2) Let t be 97845/(-67298)*6 - -11. Let j = 4/437 + t. Factor 8/7*
{ "pile_set_name": "DM Mathematics" }
4, -140885915? -3913499*p**2 + 8*p + 1 What is the v'th term of 114589, 458399, 1031431, 1833691, 2865185? v**3 + 114605*v**2 - 12*v - 5 What is the q'th term of -4834, -8321, -11804, -15289, -18782, -22289? -q**3 + 8*q**2 - 3504*q - 1337 What is the c'th term of -302, -7975, -20754, -38633, -61606, -89667? c**3 - 2559*c**2 - 3*c + 2259 What is the h'th term of 53720, 54031, 54342? 311*h + 53409 What is the t'th term of -432, -1504, -2646, -3858, -5140, -6492? -35*t**2 - 967*t + 570 What is the m'th term of 4175, 8334, 12507, 16700, 20919, 25170? m**3 + m**2 + 4149*m + 24 What is the s'th term of 5986546, 5986554, 5986562, 5986570? 8*s + 5986538 What is the n'th term of -99752, -190092, -280432, -370772, -461112, -551452? -90340*n - 9412 What is the f'th term of 1784637, 1784734, 1784831, 1784928, 1785025, 1785122? 97*f + 1784540 What is the m'th term of -2661, -5640, -9241, -13776, -19557, -26896, -36105, -47496? -52*m**3 + m**2 - 2618*m + 8 What is the d'th term of -2034, -2325, -2616, -2907, -3198, -3489? -291*d - 1743 What is the q'th term of -274, -1761, -5756, -13501, -26238? -207*q**3 - 12*q**2 - 2*q - 53 What is the k'th term of 18358042, 36716082, 55074122, 73432162, 91790202, 110148242? 18358040*k + 2 What is the d'th term of 2525, 5473, 9321, 14069? 450*d**2 + 1598*d + 477 What is the i'th term of -1402445, -2804879, -4207313? -1402434*i - 11 What is the h'th term of 131, 560, 1277, 2276, 3551, 5096? -h**3 + 150*h**2 - 14*h - 4 What is the r'th term of 20003, 79966, 179867, 319676, 499363, 718898, 978251, 1277392? -5*r**3 + 19999*r**2 + r + 8 What is the i'th term of 826944, 1653505, 2480066, 3306627? 826561*i + 383 What is the u'th term of 22369, 89481, 201335, 357931, 559269? 22371*u**2 - u - 1 What is the k'th term of -439848, -879679, -1319484, -1759257, -2198992, -2638683? k**3 + 7*k**2 - 439859*k + 3 What is the s'th term of 2104, 1977, 1632, 961, -144, -1791, -4088, -7143? -18*s**3 - s**2 + 2*s + 2121 What is the t'th term of 944, 2544, 4802, 7718, 11292, 15524? 329*t**2 + 613*t + 2 What is the f'th term of 93247229, 93247224, 93247219, 93247214, 93247209? -5*f + 93247234 What is the h'th term of 959481, 1918939, 2878397, 3837855, 4797313? 959458*h + 23 What is the v'th term of 683239, 683218, 683213, 683230, 683275, 683354? v**3 + 2*v**2 - 34*v + 683270 What is the v'th term of -28387468, -56774937, -85162406, -113549875, -141937344, -170324813? -28387469*v + 1 What is the r'th term of 2324, 4734, 7312, 10142, 13308, 16894, 20984? 14*r**3 + 2312*r - 2 What is the p'th term of 169717, 169777, 169837, 169897, 169957, 170017? 60*p + 169657 What is the l'th term of -889, -3299, -5713, -8131, -10553, -12979? -2*l**2 - 2404*l + 1517 What is the x'th term of -428251, -428255, -428269, -428299, -428351, -428431, -428545? -x**3 + x**2 - 428251 What is the z'th term of 535667, 1071351, 1607035, 2142719, 2678403, 3214087? 535684*z - 17 What is the u'th term of 8328498, 8328501, 8328504? 3*u + 8328495 What is the r'th term of -91426, -182565, -273142, -362875, -451482, -538681, -624190, -707727? 47*r**3 - r**2 - 91465*r - 7 What is the h'th term of 119166, 952360, 3213880, 7617888, 14878546, 25710016? 119027*h**3 + h**2 + 2*h + 136 What is the h'th term of 60847, 120025, 179205, 238387? h**2 + 59175*h + 1671 What is the a'th term of 8973, 8667, 8167, 7473, 6585? -97*a**2 - 15*a + 9085 What is the c'th term of 536028, 536038, 536042, 536040, 536032? -3*c**2 + 19*c + 536012 What is the j'th term of 97638, 97348, 97058, 96768? -290*j + 97928 What is the j'th term of -30478, -31150, -31822, -32494, -33166? -672*j - 29806 What is the z'th term of 2963001, 2963000, 2962999, 2962998? -z + 2963002 What is the r'th term of 7627, 5944, 3139, -788, -5837, -12008? -561*r**2 + 8188 What is the l'th term of 5390917, 10781829, 16172741, 21563653? 5390912*l + 5 What is the n'th term of 1010805, 2021612, 3032419, 4043226, 5054033? 1010807*n - 2 What is the c'th term of 43904, 87795, 131666, 175517, 219348, 263159, 306950? -10*c**2 + 43921*c - 7 What is the w'th term of 1774862, 1774863, 1774864? w + 1774861 What is the h'th term of -228766, -229083, -229400, -229717, -230034, -230351? -317*h - 228449 What is the w'th term of 7452017, 29808056, 67068123, 119232224, 186300365, 268272552, 365148791? w**3 + 7452008*w**2 + 8*w What is the x'th term of -31672, -63362, -95044, -126712, -158360? x**3 - 2*x**2 - 31691*x + 20 What is the k'th term of -116802858, -233605711, -350408564, -467211417, -584014270, -700817123? -116802853*k - 5 What is the y'th term of 48616057, 97232137, 145848217, 194464297, 243080377, 291696457? 48616080*y - 23 What is the u'th term of -858901, -858951, -859001, -859051, -859101, -859151? -50*u - 858851 What is the t'th term of -20080404, -20080409, -20080418, -20080431? -2*t**2 + t - 20080403 What is the z'th term of -24078, -192674, -650300, -1541472, -3010706? -24086*z**3 + z**2 + 3*z + 4 What is the z'th term of 7847542, 7847551, 7847566, 7847587, 7847614, 7847647, 7847686? 3*z**2 + 7847539 What is the r'th term of 1550, 5965, 12818, 21695, 32182, 43865, 56330? -69*r**3 + 1633*r**2 - r - 13 What is the n'th term of 305, 1220, 2719, 4802, 7469, 10720, 14555? 292*n**2 + 39*n - 26 What is the v'th term of -47484, -44924, -40666, -34716, -27080, -17764, -6774, 5884? -v**3 + 855*v**2 + 2*v - 48340 What is the q'th term of -11927, -23987, -36121, -48329, -60611, -72967, -85397? -37*q**2 - 11949*q + 59 What is the l'th term of -336071, -672082, -1008093, -1344104, -1680115? -336011*l - 60 What is the g'th term of 11325150, 11325153, 11325156, 11325159? 3*g + 11325147 What is the v'th term of -26696, -106821, -240328, -427223, -667512? -v**3 - 26685*v**2 - 63*v + 53 What is the t'th term of 92788, 185759, 278730, 371701, 464672, 557643? 92971*t - 183 What is the k'th term of 2955, 2610, 2009, 1152? -128*k**2 + 39*k + 3044 What is the i'th term of 29, -208, -1109, -3070, -6487, -11756? -66*i**3 + 64*i**2 + 33*i - 2 What is the k'th term of 53389, 106917, 160461, 214027, 267621, 321249? k**3 + 2*k**2 + 53515*k - 129 What is the z'th term of 11398, 11106, 10814, 10522, 10230? -292*z + 11690 What is the t'th term of 654239, 1308495, 1962777, 2617097, 3271467, 3925899? 2*t**3 + t**2 + 654239*t - 3 What is the c'th term of 531486, 1062909, 1594278, 2125599, 2656878, 3188121, 3719334, 4250523? c**3 - 33*c**2 + 531515*c + 3 What is the x'th term of 1767141, 3534280, 5301417, 7068552, 8835685, 10602816, 12369945? -x**2 + 1767142*x What is the x'th term of 41980, 83992, 126004, 168016, 210028, 252040? 42012*x - 32 What is the j'th term of 1160928, 1160934, 1160944, 1160958? 2*j**2 + 1160926 What is the f'th term of 12557829, 50231304, 113020429, 200925204, 313945629? 12557825*f**2 + 4 What is the y'th term of -1093, -5548, -13029, -23536, -37069? -1513*y**2 + 84*y + 336 What is the a'th term of -33124, -132828, -299000, -531640? -33234*a**2 - 2*a + 112 What is the g'th term of -7510, -14958, -22324, -29584, -36714, -43690? 4*g**3 + 17*g**2 - 7527*g - 4 What is the h'th term of 731460, 5851715, 19749542, 46813725, 91433048? 731464*h**3 + 2*h**2 + h - 7 What is the d'th term of -1501124878, -1501124879, -1501124880, -1501124881? -d - 1501124877 What is the g'th term of -27033, -54354, -81675, -108996, -136317, -163638? -27321*g + 288 What is the n'th term of -60639992, -60639988, -60639984, -60639980, -60639976, -60639972? 4*n - 60639996 What is the f'th term of 820, 2163, 3504, 4843? -f**2 + 1346*f - 525 What is the u'th term of 10850, 87062, 294036, 697154, 1361798, 2353350, 3737192, 5578706? 10897*u**3 - u**2 - 64*u + 18 What is the k'th term of -14815, -59242, -133299, -236986, -370303, -533250, -725827? -14815*k**2 + 18*k - 18 What is the p'th term of -56638, -56633, -56626, -56617? p**2 + 2*p - 56641 What is the z'th term of -4304, -9102, -14372, -20114? -236*z**2 - 4090*z + 22 What is the o'th term of -3142033, -6284086, -9426137, -12568186, -15710233? o**2 - 3142056*o + 22 What is the d'th term of 64, -640, -3462, -9752, -20860, -38136, -62930? -225*d**3 + 291*d**2 - 2*d What is the w'th term of 24632, 21245, 17858, 14471, 11084, 7697? -3387*w + 28019 What is the y'th term of 267201, 266627, 265671, 264333? -191*y**2 - y + 267393 What i
{ "pile_set_name": "DM Mathematics" }
en 29 is divided by g. 5 Let c = 14208 + -14185. Calculate the remainder when 5467 is divided by c. 16 Let a(o) = 9*o**2 - 8*o + 7. Let s be -1*4 + -25 + 7. Let c = s - -47. What is the remainder when a(3) is divided by c? 14 Suppose -5*n - 4*q + 8*q = -71, 4*q = -4*n + 64. Let x be (-168)/(-20) + -1 + n/25. Suppose 0 = x*d - 10*d + 284. What is the remainder when d is divided by 48? 46 Let y(q) = 4*q - 24. Let k = -19 + 27. Let m be y(k). What is the remainder when 35 is divided by (80/28)/(m/28)? 5 Let o(c) = 754*c - 401. Calculate the remainder when o(3) is divided by 305. 31 Let s(w) = 2*w**3 - 8*w**2 + 24*w - 14. What is the remainder when 625 is divided by s(5)? 1 Suppose 0 = 3*i + 2*c - 7, -11*i + 30 = -9*i - 5*c. Let x(t) be the first derivative of 6*t**2 - 1. Calculate the remainder when x(i) is divided by 9. 6 Suppose 2*w - 64 = r, -2*r + 16 + 54 = 2*w. What is the remainder when 47 is divided by w? 14 Let s be (2 - -3 - 3 - 2) + 282. Suppose s = 5*a + a. Calculate the remainder when a is divided by 7. 5 Let f = 170 - 118. Let r(s) = -s**3 + 41*s**2 - 7*s + 491. Calculate the remainder when r(41) is divided by f. 48 Let p = -2282 - -2311. What is the remainder when 1554 is divided by p? 17 Suppose 6 = 3*w, 0*x + 250 = 4*x + w. Let f(j) = -j**3 - 3*j**2 + 8*j + 6. Calculate the remainder when x is divided by f(-5). 14 Let r be (-8)/40 + (-44)/5. Suppose 23*f + 96 = 25*f. Calculate the remainder when 56 is divided by (f/r + 2)*6/(-1). 16 Suppose d = -4*k + 3377, 0 = 2*d - 9*k - 4695 - 1940. What is the remainder when d is divided by 25? 24 Suppose 6*o = o + 555. Suppose 2611 - 541 = 10*d. Suppose 0 = 4*w - 13*w + d. What is the remainder when o is divided by w? 19 Let c(f) = 1927*f**2 - 2*f + 3. What is the remainder when c(1) is divided by 69? 65 Suppose 88*d + 754 - 360 = 24946. Calculate the remainder when 3350 is divided by d. 2 Suppose 151 = 5*h - 34 - 115. Calculate the remainder when 66 is divided by h. 6 Suppose 2*o - 1413 = -5*z, -2*z + 0*z = -2*o - 554. What is the remainder when 849 is divided by z? 6 Let t(n) = 2*n - 39. Let v(y) = -2*y + 38. Let o(s) = -3*t(s) - 2*v(s). Let a be o(0). Let w = -35 + a. Calculate the remainder when 9 is divided by w. 3 Let z be -51*1*((-28)/(-12))/(-7). Let l(q) = -8*q**2 - 7*q**2 + 17*q + z*q**2 - 10. Calculate the remainder when 58 is divided by l(-10). 18 Suppose -20 - 214 = -6*c. What is the remainder when 2 is divided by 3*(c/9 - 4)? 0 Let b = 491 - -2025. Calculate the remainder when b is divided by 168. 164 Let b(u) = 2*u + 1 + 4 - u. Let j(x) = x**3 + 9*x**2 + 12*x + 35. Let d be j(-8). What is the remainder when 87 is divided by b(d)? 7 Suppose -68 = 4*x - 54 - 58. Calculate the remainder when 259 is divided by x. 6 Suppose -2*l = -5*q + 65, 2*l + 26 = 2*q + 3*l. Suppose -85 = 4*j - 317. What is the remainder when j is divided by q? 6 Let p = -19580 - -21419. Calculate the remainder when p is divided by 16. 15 Let x(s) = -2*s + 90 + 3*s - 83. Suppose -63 = 10*j - 17*j. Calculate the remainder when 28 is divided by x(j). 12 Let x = 46 + -24. Suppose 17*j = x*j + 60. What is the remainder when (-1768)/(-12) - 8/j is divided by 30? 28 Suppose 137*u - 120*u - 136 = 0. Suppose -4*i - i - 4*m = -124, -5*m - 91 = -4*i. Let z = i - -77. Calculate the remainder when z is divided by u. 5 Suppose 735697 + 128363 = 435*j - 507495. Calculate the remainder when j is divided by 629. 8 Suppose -3*t + 26*h = 21*h - 83, -4*t - 5*h = -64. What is the remainder when 600 is divided by t? 12 Let n = 14219 - 14032. What is the remainder when 335 is divided by n? 148 Let p = -100 + 112. Suppose p*c = 24*c - 240. Calculate the remainder when 94 is divided by c. 14 Suppose -5*j = 5, -u - j = 4*u - 259. Let i = 113 - 86. Calculate the remainder when u is divided by i. 25 Let g(d) = d**3 - 3*d**2 + 4*d. Let k = -97 - -138. Suppose k*u - 1402 = 1468. What is the remainder when u is divided by g(3)? 10 Suppose -926 + 265 = -28*g + 991. Calculate the remainder when 15870 is divided by g. 58 Suppose -3*a = 4*u - 164, a = 3*u - 4*a - 94. Calculate the remainder when u is divided by 24. 14 Suppose 4*s - 7 - 5 = 0. Let t(k) = -s*k - 3 + 4*k - 4 + 2*k. What is the remainder when 39 is divided by t(7)? 11 Let v = -26 - -26. Suppose -4*n + 230 = 3*x - v*n, 2*x = n + 146. Let d = x + -43. Calculate the remainder when 58 is divided by d. 27 Suppose -160*n + 165*n = 2*p - 173, 4*n - 332 = -4*p. Let f(s) = 7*s - 4. What is the remainder when p is divided by f(4)? 12 Let j be (-6)/(-4)*(140 + (5 - 1)). Suppose -8*m + 17*m - j = 0. Suppose -5*l = -2*l - h - 203, -2*l + 5*h = -118. What is the remainder when l is divided by m? 21 Let w(g) = -g**3 - 18*g**2 + 17*g - 24. Let i be (-1 + 1 + 1)/(-1)*19. What is the remainder when (-318)/(-6) + 2/(-2) is divided by w(i)? 10 Let c(z) = 73 - z**3 + 2*z**3 - 31*z - 7*z**2 + 8*z**2 + 0*z**2 + 13*z. Calculate the remainder when 311 is divided by c(4). 68 Let p = 7140 + -4064. Calculate the remainder when p is divided by 56. 52 Suppose 8*a = -p + 482, 0 = -93*a + 98*a - 5*p - 290. Suppose 3*r - 37 = -o - 4*o, 11 = o - 3*r. Calculate the remainder when a is divided by o. 4 Let x = 223 + -145. Suppose -5*u - 28*a + 7004 = -29*a, -3*u + 4218 = 2*a. What is the remainder when u is divided by x? 76 Let n = -498 + 3342. What is the remainder when n is divided by 219? 216 Suppose d = -2*h + 2*d + 7, -5*h + 40 = 2*d. Suppose -3 = 4*l - 5*z - 129, 3*z = 3*l - 93. Let a = h + l. What is the remainder when a is divided by 6? 5 Suppose 175*z - 21*z = 65926 + 43568. Calculate the remainder when z is divided by 238. 235 Let p = -65 - -119. Calculate the remainder when 21/5*(309/9 - 21) is divided by p. 2 Suppose -23493 - 3293 + 2384 = -294*v. What is the remainder when 2986 is divided by v? 81 Suppose -9848*j = -9850*j + 1434. Calculate the remainder when j is divided by 80. 77 Suppose -2*u + u = -4. Suppose u*z + 72 = 8*z. Calculate the remainder when 60 is divided by z. 6 Let d(u) = -39*u + 227. Let s be d(6). What is the remainder when 327 is divided by 40 - 35/((-35)/s)? 30 Suppose -4*k = -20, -47*y + 44*y - 5*k = -562. What is the remainder when y is divided by 32? 19 Suppose 0 = -5*q - 2*n + 120, -7*q + 2*n + 62 = -5*q. Suppose -21*o - q = -2*i - 19*o, -3*o = -i + 23. What is the remainder when 181 is divided by i? 5 Let r = -50 - -85. Suppose -30*l = -r*l + 100. Calculate the remainder when 69 is divided by l. 9 Suppose 0 = -3*y + 41*y - 1126740 - 34464. Calculate the remainder when y is divided by 259. 255 Let s(t) = t**3 - 11*t**2 + 10*t - 5. Let m be s(12). Let u = m + -145. What is the remainder when u is divided by -6*3/(18/(-40))? 34 Let l = -354 - -832. Suppose 1819*d = 1824*d + 5*k - 260, 0 = 2*d - 5*k - 160. Calculate the remainder when l is divided by d. 58 Let r(x) = x**3 - 28*x**2 + 152*x - 76. Calculate the remainder when r(23) is divided by 7. 5 Let p(k) = -105 + 38 - 3*k**2 + 17*k - k**2 + 5*k**2. What is the remainder when 170 is divided by p(-22)? 41 Suppose -y - 995 = -j, -999 = -j + y + 2*y. What is the remainder when j is divided by 70? 13 Let p be (9 + -6)*1 - -1. What is the remainder when (-1)/(p/(-18) + 7414/34254) is divided by 36? 29 Let k = 613 - -338. Calculate the remainder when k is divided by (-2)/(-9) + (-4832)/(-288). 16 Let u(v) = -13*v**2 + 5*v + 13. Let l(j) = 7*j**2 - 2*j - 6. Let z(i) = 5*l(i) + 2*u(i). Calculate the remainder when 43 is divided by z(2). 11 Let r = -11039 + 12841. What is the remainder when r is divided by 21? 17 Let k be 10/(-3)*99/(-55). Suppose 0 = -4*z + k*z - 104. What is the remainder when -9 + 160 + (0 - -3) is divided by z? 50 Let k be (-12)/16 + (-76)/(-16) + 0. Suppose -2*o + k*a + 71 = 3*a, 4*a + 144 = 4*o. Let h = -22 + 35. What is the remainder when o is divided by h? 9 Calculate the remainder when 2464/330*10 + (-2)/(-6) is divided by 19. 18 Let g be ((-95)/(-3))/(6/18). Suppose -4*m + 79 = 3*u, -g = 4*m - 9*m - 3*u. Suppose 28*y + 78 = 41*y. Calculate the remainder when m is divided by y. 4 Suppose -4*c + 4*c + 272 = 16*c. What is the remainder when 263 is divided by c? 8 Suppose 3*p + 30 = 21. Let f be 30/10 + 12/p. Calculate the remainder when f + 2 - (-42 - -9) is divided by 12. 10 Let x(p) = 2*p**3 - 4*p**2 - 4*p + 8
{ "pile_set_name": "DM Mathematics" }
by 53? 32 Calculate the remainder when 29 is divided by 22. 7 What is the remainder when 7 is divided by 5? 2 Calculate the remainder when 378 is divided by 19. 17 Calculate the remainder when 16072 is divided by 282. 280 Calculate the remainder when 203 is divided by 32. 11 What is the remainder when 2438 is divided by 9? 8 What is the remainder when 174 is divided by 38? 22 Calculate the remainder when 182 is divided by 23. 21 Calculate the remainder when 1569 is divided by 20. 9 Calculate the remainder when 97 is divided by 28. 13 What is the remainder when 224 is divided by 114? 110 Calculate the remainder when 133 is divided by 57. 19 Calculate the remainder when 135 is divided by 118. 17 What is the remainder when 20986 is divided by 22? 20 What is the remainder when 4026 is divided by 1005? 6 Calculate the remainder when 82 is divided by 14. 12 What is the remainder when 23 is divided by 13? 10 Calculate the remainder when 1792 is divided by 194. 46 Calculate the remainder when 741 is divided by 124. 121 Calculate the remainder when 1677 is divided by 12. 9 What is the remainder when 229 is divided by 33? 31 What is the remainder when 231 is divided by 47? 43 Calculate the remainder when 27 is divided by 16. 11 What is the remainder when 611 is divided by 51? 50 Calculate the remainder when 482 is divided by 46. 22 Calculate the remainder when 157 is divided by 35. 17 Calculate the remainder when 250 is divided by 18. 16 What is the remainder when 10286 is divided by 62? 56 What is the remainder when 492 is divided by 95? 17 Calculate the remainder when 5452 is divided by 19. 18 What is the remainder when 730 is divided by 223? 61 Calculate the remainder when 787 is divided by 99. 94 What is the remainder when 598 is divided by 40? 38 What is the remainder when 156 is divided by 16? 12 Calculate the remainder when 73 is divided by 22. 7 Calculate the remainder when 1318 is divided by 40. 38 What is the remainder when 45 is divided by 10? 5 Calculate the remainder when 234 is divided by 40. 34 Calculate the remainder when 6893 is divided by 18. 17 Calculate the remainder when 357 is divided by 266. 91 Calculate the remainder when 14713 is divided by 45. 43 Calculate the remainder when 4135 is divided by 100. 35 What is the remainder when 80 is divided by 17? 12 Calculate the remainder when 123 is divided by 108. 15 What is the remainder when 33 is divided by 30? 3 Calculate the remainder when 314 is divided by 142. 30 Calculate the remainder when 107 is divided by 16. 11 Calculate the remainder when 680 is divided by 22. 20 What is the remainder when 190 is divided by 32? 30 What is the remainder when 475 is divided by 28? 27 Calculate the remainder when 560 is divided by 104. 40 Calculate the remainder when 3416 is divided by 10. 6 Calculate the remainder when 843 is divided by 11. 7 Calculate the remainder when 2349 is divided by 14. 11 What is the remainder when 568 is divided by 65? 48 What is the remainder when 153 is divided by 52? 49 Calculate the remainder when 148 is divided by 33. 16 What is the remainder when 161 is divided by 33? 29 Calculate the remainder when 206 is divided by 26. 24 What is the remainder when 383 is divided by 37? 13 What is the remainder when 57 is divided by 37? 20 Calculate the remainder when 11728 is divided by 14. 10 Calculate the remainder when 62 is divided by 4. 2 Calculate the remainder when 1013 is divided by 73. 64 What is the remainder when 353 is divided by 185? 168 What is the remainder when 3021 is divided by 54? 51 What is the remainder when 647 is divided by 7? 3 What is the remainder when 146 is divided by 49? 48 What is the remainder when 29 is divided by 13? 3 Calculate the remainder when 987 is divided by 16. 11 Calculate the remainder when 1201 is divided by 299. 5 Calculate the remainder when 978 is divided by 49. 47 Calculate the remainder when 51 is divided by 13. 12 What is the remainder when 719 is divided by 77? 26 Calculate the remainder when 5959 is divided by 67. 63 Calculate the remainder when 17 is divided by 10. 7 What is the remainder when 71 is divided by 27? 17 What is the remainder when 384 is divided by 184? 16 What is the remainder when 2923 is divided by 101? 95 What is the remainder when 446 is divided by 191? 64 Calculate the remainder when 269 is divided by 4. 1 What is the remainder when 2651 is divided by 178? 159 What is the remainder when 89 is divided by 20? 9 Calculate the remainder when 410 is divided by 59. 56 Calculate the remainder when 2658 is divided by 84. 54 What is the remainder when 5937 is divided by 44? 41 What is the remainder when 93 is divided by 4? 1 Calculate the remainder when 115 is divided by 18. 7 Calculate the remainder when 635 is divided by 7. 5 What is the remainder when 32 is divided by 9? 5 What is the remainder when 206 is divided by 73? 60 What is the remainder when 8967 is divided by 23? 20 Calculate the remainder when 554 is divided by 409. 145 Calculate the remainder when 222 is divided by 114. 108 Calculate the remainder when 1284 is divided by 23. 19 What is the remainder when 385 is divided by 56? 49 Calculate the remainder when 17 is divided by 13. 4 What is the remainder when 835 is divided by 170? 155 Calculate the remainder when 938 is divided by 314. 310 Calculate the remainder when 772 is divided by 96. 4 Calculate the remainder when 287 is divided by 77. 56 Calculate the remainder when 235 is divided by 220. 15 Calculate the remainder when 348 is divided by 70. 68 What is the remainder when 594 is divided by 100? 94 Calculate the remainder when 2409 is divided by 32. 9 What is the remainder when 2309 is divided by 54? 41 What is the remainder when 478 is divided by 120? 118 What is the remainder when 594 is divided by 71? 26 What is the remainder when 118 is divided by 12? 10 Calculate the remainder when 168 is divided by 63. 42 What is the remainder when 39352 is divided by 21? 19 Calculate the remainder when 3973 is divided by 78. 73 Calculate the remainder when 91 is divided by 46. 45 What is the remainder when 646 is divided by 27? 25 What is the remainder when 2153 is divided by 18? 11 Calculate the remainder when 5913 is divided by 35. 33 Calculate the remainder when 58 is divided by 1. 0 Calculate the remainder when 266 is divided by 50. 16 What is the remainder when 2784 is divided by 199? 197 Calculate the remainder when 21 is divided by 9. 3 Calculate the remainder when 676 is divided by 322. 32 What is the remainder when 139 is divided by 16? 11 What is the remainder when 376 is divided by 24? 16 What is the remainder when 1969 is divided by 27? 25 What is the remainder when 373 is divided by 22? 21 Calculate the remainder when 34 is divided by 10. 4 What is the remainder when 254 is divided by 117? 20 Calculate the remainder when 954 is divided by 55. 19 Calculate the remainder when 2855 is divided by 102. 101 What is the remainder when 4381 is divided by 51? 46 What is the remainder when 109 is divided by 33? 10 What is the remainder when 722 is divided by 91? 85 Calculate the remainder when 332 is divided by 159. 14 Calculate the remainder when 12321 is divided by 101. 100 What is the remainder when 68 is divided by 3? 2 What is the remainder when 78 is divided by 38? 2 What is the remainder when 683 is divided by 16? 11 What is the remainder when 94 is divided by 84? 10 What is the remainder when 34 is divided by 12? 10 Calculate the remainder when 666 is divided by 462. 204 Calculate the remainder when 313 is divided by 54. 43 Calculate the remainder when 128 is divided by 10. 8 Calculate the remainder when 81 is divided by 21. 18 Calculate the remainder when 509 is divided by 27. 23 What is the remainder when 222 is divided by 80? 62 Calculate the remainder when 1876 is divided by 456. 52 What is the remainder when 141 is divided by 37? 30 Calculate the remainder when 43 is divided by 9. 7 Calculate the remainder when 133 is divided by 58. 17 What is the remainder when 4369 is divided by 175? 169 Calculate the remainder when 1184 is divided by 14. 8 What is the remainder when 537 is divided by 15? 12 What is the remainder when 99 is divided by 20? 19 Calculate the remainder when 632 is divided
{ "pile_set_name": "DM Mathematics" }
et v(i) = -6*i + 17. Let n(b) = 3*b - 9. Let y(r) = -7*n(r) - 4*v(r). Let u be y(4). What is the second derivative of u*p + 0*p - 5*p**2 - 2*p**2 - p wrt p? -14 What is the second derivative of -32 + 31*d**3 - 3*d + 4*d - 2*d**2 + 68*d**3 - 223*d**3 - 187*d**3 wrt d? -1866*d - 4 Let g(h) be the second derivative of -213*h**5/20 - h**4/6 - 8*h**2 + 251*h. What is the third derivative of g(b) wrt b? -1278 Suppose 8*n = 4*n + 20. Suppose n*v - 2 = 8. What is the second derivative of 3*u - v*u**4 - u**4 - 8*u + 2*u**4 wrt u? -12*u**2 Suppose 4*q - 1170 = -5*q. Find the second derivative of -59*j - 55*j + j**3 + q*j wrt j. 6*j Let j(m) be the second derivative of -m**6/15 + 5*m**5/2 - 43*m**4/12 + 10*m + 4. What is the third derivative of j(s) wrt s? -48*s + 300 Let g(b) be the third derivative of -b**6/30 + b**4/24 + 11*b**3/2 + 18*b**2. Find the first derivative of g(a) wrt a. -12*a**2 + 1 What is the second derivative of 71*v**2 - 12*v - 2*v - 34*v wrt v? 142 Differentiate -90 + 167 + 106*f**3 + 21*f**3 wrt f. 381*f**2 Let r(b) be the third derivative of b**7/42 + 7*b**5/60 - 155*b**3/6 - 2*b**2 + 53*b. What is the first derivative of r(d) wrt d? 20*d**3 + 14*d Find the third derivative of -127*z**4 - 124*z**4 + 31*z**2 + 547 - 546 wrt z. -6024*z Let p(o) = -94*o**2 - 126*o + 3. Let w(q) = -187*q**2 - 251*q + 5. Let f(h) = -5*p(h) + 3*w(h). Find the second derivative of f(c) wrt c. -182 Find the first derivative of -16219 + 16170 + 21*s - 80*s wrt s. -59 Let q(d) = 3*d - 2. Let c be q(3). What is the derivative of -34*m - 28*m + c + 65*m wrt m? 3 Let v(u) = u**3 - 13*u**2 + 11*u + 14. Let w be v(12). Find the third derivative of 136*i**4 + 4*i**w + 0*i**2 - 146*i**4 wrt i. -240*i Let j(d) = -17*d**3 - 143*d**2 + 220*d. Let c(q) = 6*q**3 + 48*q**2 - 73*q. Let h(r) = -11*c(r) - 4*j(r). Find the second derivative of h(a) wrt a. 12*a + 88 Let m(c) = -6 - 1 - 3 + c + 2. Let s be m(10). Find the second derivative of 6*f + 5*f**2 - 4*f**2 - f**s - 3*f**2 wrt f. -6 Let y = -41 - -41. Find the second derivative of 0*z**3 + 16*z - 31*z**4 + 54*z**4 + y*z**3 wrt z. 276*z**2 Find the third derivative of 1050*z**2 + 68*z + 29*z**3 - 213*z + 145*z wrt z. 174 Let k = 1142 - 1142. Let g(y) be the second derivative of 1/4*y**5 + k*y**2 + 0*y**3 - 1/6*y**4 + 0 - 6*y. Find the third derivative of g(w) wrt w. 30 Suppose -5*r - 1 = 2*m + m, 0 = -m + 5*r + 13. Find the second derivative of -4*g + 24*g + g**2 + m*g - 24*g**2 wrt g. -46 Let h be (9 - (3 + 1))/(-1). Let p(x) = -3*x - 11. Let c be p(h). Find the first derivative of -12 - 14 + c*r + 18 wrt r. 4 Let u(r) be the first derivative of 0*r**5 + 4 + 2/3*r**3 + 0*r + 0*r**4 + 0*r**2 + 4*r**6. Find the third derivative of u(g) wrt g. 1440*g**2 Let c be (-19 + 15)*(-15)/4. Let x be (20/25)/(2/c). What is the third derivative of 7*m**2 + 0*m**2 + x*m**2 + m**2 + 6*m**6 wrt m? 720*m**3 Let z(j) be the second derivative of 0*j**2 - 5/2*j**4 + 0 + 0*j**3 - 23/20*j**5 - j. Find the third derivative of z(h) wrt h. -138 Let x be 96/(-20)*20/(-3). Let m(j) be the first derivative of x*j**6 - 31*j**6 + j**2 + 3 + 2. Find the second derivative of m(k) wrt k. 120*k**3 Suppose -17 = -a + 2. Suppose -1 = 2*m - a. Find the second derivative of 2*d - d + 9 + 4*d**3 - m wrt d. 24*d Differentiate -c**2 - 64*c**4 - 366 - 57*c**4 + c**2 + 24*c**4 with respect to c. -388*c**3 Let t(x) = 19*x**2 + 4*x. Let h(n) = n. Let u(l) = 30*h(l) + 5*t(l). What is the second derivative of u(b) wrt b? 190 Let v(r) = -9*r**3 - 11*r**3 + 15*r**3 + r - 9*r. Let l(u) = -u**4 - 6*u**3 - 8*u. Let x(s) = 5*l(s) - 6*v(s). What is the second derivative of x(y) wrt y? -60*y**2 Let i(w) be the second derivative of -133*w**5/20 + 143*w**4/12 - 3*w + 2. Find the third derivative of i(a) wrt a. -798 Let t(u) = -11*u**3 - 8*u**2 + 4. Let o(k) = 15*k**2 + 3 + 33*k**3 - 13 + 3 - 10*k**3. Let x(l) = -4*o(l) - 7*t(l). Find the third derivative of x(h) wrt h. -90 Let d(l) = -18*l**2 + 49*l + 4. Let k(o) = -17*o**2 + 49*o + 5. Let i(w) = -5*d(w) + 4*k(w). What is the second derivative of i(g) wrt g? 44 Let w(q) = 1 + 5 + 0 - 19 + 7 - 7*q. Suppose t - 2*t = 6. Let o(p) = 15*p + 12. Let b(n) = t*o(n) - 13*w(n). What is the first derivative of b(a) wrt a? 1 Let b(w) = -3*w**5 + 15*w**4 + 102*w - 2. Let v(z) = -z**5 - z**4. Let j(r) = b(r) + v(r). Find the second derivative of j(x) wrt x. -80*x**3 + 168*x**2 Let j be (-2)/(-8) + (-60)/(-16). What is the third derivative of 30*b**2 - 15*b**4 + 2*b**j + 0*b**4 wrt b? -312*b What is the second derivative of 2*j + 150*j**2 - 58*j - j - 44*j wrt j? 300 Suppose p + 0*p - 4 = 0. Find the second derivative of 37*g + 0*g + 25*g**p - 4*g - 37*g**4 wrt g. -144*g**2 What is the third derivative of 38*u + 82*u**6 - 2*u**2 - 39*u**6 + 6*u**4 - 37*u**6 + 29*u wrt u? 720*u**3 + 144*u Let w(a) be the second derivative of -14*a**4/3 + a**3/3 - 93*a**2/2 + 11*a. What is the first derivative of w(b) wrt b? -112*b + 2 Let f(a) = 106*a - 33. Let h(b) = -35*b + 11. Let g(n) = -2*f(n) - 7*h(n). Let d be g(7). What is the derivative of -2 + 220*j - 5*j**3 - d*j wrt j? -15*j**2 Let i be (-1 - 0) + -6 + 8. Suppose -3*n = -2*a - 8, 3*a = -4 + i. Find the second derivative of -h - h**2 - h**2 + n*h wrt h. -4 Find the second derivative of n + n**2 - 11*n**2 + 44 + 6*n - 8*n wrt n. -20 Let y(s) be the first derivative of 78*s**2 + 56*s - 21. What is the first derivative of y(x) wrt x? 156 Let t(d) be the third derivative of -23*d**6/12 - 13*d**5/60 - d**3/3 - d**2 + 61. Find the third derivative of t(w) wrt w. -1380 Let p = -38 - -41. Find the third derivative of 23*i**2 - 7*i**p - 5*i**3 + 12*i**3 - 19*i**5 wrt i. -1140*i**2 Let h(i) = i**2 + 4*i - 1. Let d be h(-5). Find the first derivative of -2 - 2*r**3 + 2 - 11*r**3 + d wrt r. -39*r**2 Let a(h) = h + 35. Let n be a(-25). What is the third derivative of 38*w**3 + n - 8 - 2 + 40*w**2 wrt w? 228 Let j be 8/(-3)*(-162)/4. Let t be 4/14 + j/14. What is the third derivative of 6*p**2 - 253*p + 253*p + t*p**3 wrt p? 48 Let i be 4/6*18*(-3 + 4). Differentiate 18*c - 10 - i + 1 with respect to c. 18 What is the second derivative of 9 + 7*f**4 - 77*f**3 - 15*f + 10*f - 10*f**4 + f**4 - 5*f wrt f? -24*f**2 - 462*f What is the third derivative of -512*g**2 + 458*g**2 - 100*g**4 + 511*g**4 wrt g? 9864*g Let b(r) = -22*r - 37. Let k(i) be the second derivative of i**3/6 - i**2/2 - 26*i. Let t(v) = b(v) - 4*k(v). What is the first derivative of t(z) wrt z? -26 What is the second derivative of -101*n + 229*n**3 - 69*n**3 + 17*n - 11*n wrt n? 960*n Let p(x) be the third derivative of -1/20*x**6 + 1/24*x**4 + 0*x**5 + x**2 - 2*x**3 + 0*x + 5. What is the second derivative of p(w) wrt w? -36*w Let i(t) = 2*t - 12. Let p be i(7). Suppose -4*w - p*l = -6, -w + 4*l = 12 - 36. What is the third derivative of -15*r**2 + w*r**2 + r**4 + r**4 + 4*r**2 wrt r? 48*r Let z(s) = s**3 + 4*s. Let m(w) = 393*w**3 + 18*w**2 - 11*w. Let j(l) = -m(l) - 3*z(l). Find the third derivative of j(p) wrt p. -2376 Let n(t) be the second derivative of -1/6*t**3 + 2 + 21*t**2 - 3*t + t**5 + 0*t**4. Find the second derivative of n(k) wrt k. 120*k Let k be (-4)/(-6) - 4/(-3). Suppose -12 = k*o - 5*o. Find the second derivative of 0*f**4 + 3*f**4 - 6*f + 0*f - 2*f**o wrt f. 12*f**2 Let r(g) be the second derivative of -2*g**6/15 - g**4/12 - 2*g**3/3 - 4*g**2 - 15*g. Find the second derivative of r(k) wrt k. -48*k**2 - 2 Let y(a) = a**2 + 6*a + 6. Let n be y(-6). Let c be (-3)/n*6*-1. Differentiate 3 + 3*w**4 - 42*w**c + 42*w**3 with respect to w. 12*w**3 Let j(d) = 112*d**4 - 3*d**3 + 23*d**2 - 6. Let k(g) = -g**4 + g**3 + 2. Let r(a) = j(a) + 3*k(a). Find the third derivative of r(u) wrt u. 2616*u Let j(p) = -253*p**3 - 304*p**2 + 5*p - 10. Let h(n) = 126*n**3 + 151*n**2 - 2*n + 4. Let b(y) = -5*h(y) - 2*j(y). What is the third derivative of b(r) wrt r? -744 Let w(v) = 23*v**3 + 396*v + 12. Let s(o) = -46*o**3 - 790*o - 22. Let r(x) = -6*s(x) - 11*w(x). Find the second derivative of r(z) wrt z. 138*z Let c(s) be the second derivative of -59*s**6/30 - s**5/10 - 107*s**4/12 + s + 15. What is the third derivative of c(d) wrt d? -1416*d - 12 Let p(t) be the second derivative of -14*t + 0*t**5 + 0*t**3 + 3/7*t**7 - 1/2*t**4 + 0*t**2 + 0*t**6 + 0
{ "pile_set_name": "DM Mathematics" }
und 0.010526528 to two decimal places. 0.01 Round 188.0667112 to the nearest ten. 190 What is -5549546.28 rounded to the nearest 1000000? -6000000 What is -61906.9439 rounded to the nearest 10000? -60000 What is 5.082397014 rounded to 4 dps? 5.0824 Round 3067.14736 to the nearest integer. 3067 Round 0.00080478049 to 4 dps. 0.0008 What is -0.000003907853 rounded to seven decimal places? -0.0000039 Round 52.892351 to the nearest 10. 50 What is 1552386.9 rounded to the nearest ten thousand? 1550000 Round 783570.4 to the nearest ten thousand. 780000 What is 3.2397384404 rounded to 4 dps? 3.2397 Round 1621248.25 to the nearest one thousand. 1621000 Round 1.18243908 to 3 decimal places. 1.182 Round -2969356926 to the nearest one million. -2969000000 Round 2213071.01 to the nearest 100. 2213100 Round -3364.596848 to 0 dps. -3365 Round -27957.5249 to zero dps. -27958 Round -365372852.2 to the nearest 10000. -365370000 Round -9.71303827 to the nearest integer. -10 Round -30559574.5 to the nearest ten thousand. -30560000 Round -1884.768477 to the nearest integer. -1885 Round -0.00207660932 to 7 decimal places. -0.0020766 What is 92359810 rounded to the nearest 10000? 92360000 What is 3860.78601 rounded to one dp? 3860.8 What is 3123476650 rounded to the nearest one hundred thousand? 3123500000 Round 417.801795 to 2 decimal places. 417.8 What is 0.0001525712326 rounded to 7 dps? 0.0001526 What is 4.1079105 rounded to zero decimal places? 4 Round 1589745.3603 to the nearest 10. 1589750 What is 0.00000204091171 rounded to seven decimal places? 0.000002 Round -1241371.27 to the nearest 100000. -1200000 Round -0.00145392777 to 7 dps. -0.0014539 Round -20.1267584 to 1 decimal place. -20.1 What is 72126.366 rounded to the nearest one thousand? 72000 Round 3220581.9 to the nearest one million. 3000000 Round 42.910779 to two dps. 42.91 What is 631.921852 rounded to the nearest ten? 630 What is 0.19446073 rounded to two dps? 0.19 What is -5594409.504 rounded to the nearest one hundred thousand? -5600000 Round -0.00000137732724 to seven dps. -0.0000014 Round -0.0070029193 to 4 decimal places. -0.007 What is 0.001345540127 rounded to seven dps? 0.0013455 What is 2699.47135 rounded to the nearest ten? 2700 Round -0.0321359548 to 5 dps. -0.03214 What is 11.25139221 rounded to the nearest integer? 11 What is 136339780 rounded to the nearest one hundred thousand? 136300000 What is -2036.234263 rounded to the nearest one hundred? -2000 Round -551142048 to the nearest ten thousand. -551140000 What is 0.000108908334 rounded to 4 decimal places? 0.0001 What is 179200.3729 rounded to the nearest 1000? 179000 Round -0.606962633 to 1 dp. -0.6 What is 14.3390492 rounded to the nearest ten? 10 What is -0.03900018085 rounded to 2 decimal places? -0.04 Round 755.12098 to the nearest ten. 760 Round 85.6300616 to the nearest 10. 90 What is -2.7044535 rounded to 2 decimal places? -2.7 Round -41736.52944 to the nearest ten thousand. -40000 Round 2213.41913 to the nearest integer. 2213 Round -61.949621 to zero dps. -62 What is 0.88338974 rounded to three decimal places? 0.883 Round 0.004954054725 to seven decimal places. 0.0049541 What is 950.49271 rounded to the nearest integer? 950 What is 3238380.438 rounded to the nearest 100000? 3200000 Round -0.1702261266 to 2 decimal places. -0.17 Round 770.62784 to 0 decimal places. 771 What is -85.045424 rounded to the nearest 100? -100 What is 0.011450294 rounded to five dps? 0.01145 What is -0.02165342465 rounded to four dps? -0.0217 What is -97709226 rounded to the nearest 100000? -97700000 What is 252.2701133 rounded to two dps? 252.27 Round -0.00287791071 to seven decimal places. -0.0028779 Round 0.3123195 to four dps. 0.3123 What is -0.0576130295 rounded to five dps? -0.05761 What is 92562487 rounded to the nearest ten thousand? 92560000 Round 5083970010 to the nearest 1000000. 5084000000 What is -13701263.5 rounded to the nearest ten thousand? -13700000 What is -0.0007103610111 rounded to six dps? -0.00071 What is -0.000002193699659 rounded to 7 dps? -0.0000022 Round -20439.5127 to 0 decimal places. -20440 Round 132.39293452 to the nearest 10. 130 Round -0.0000136547528 to 6 dps. -0.000014 Round -309187972.7 to the nearest one million. -309000000 Round -964614.07 to the nearest 1000. -965000 Round -0.052476505 to 5 decimal places. -0.05248 What is -1017.5977279 rounded to the nearest 10? -1020 Round -432070.03 to the nearest 100. -432100 What is 0.000132385086 rounded to five decimal places? 0.00013 Round 1076487.04 to the nearest 100000. 1100000 Round 0.0000041598919 to seven decimal places. 0.0000042 Round 53854824.8 to the nearest 100000. 53900000 Round 522459.904 to the nearest 10000. 520000 What is -3727311.3 rounded to the nearest 1000? -3727000 What is -153.83491912 rounded to 1 dp? -153.8 Round -6110447.8 to the nearest one thousand. -6110000 Round -3317919000 to the nearest 100000. -3317900000 What is 17416056902 rounded to the nearest one hundred thousand? 17416100000 Round 2.7327232 to the nearest integer. 3 What is -0.353033668 rounded to five decimal places? -0.35303 Round 1633255.26 to the nearest 10000. 1630000 Round 0.00000289345933 to 7 decimal places. 0.0000029 What is -169688.0442 rounded to the nearest 100000? -200000 What is 182885483 rounded to the nearest 1000000? 183000000 What is -1.835104551 rounded to one decimal place? -1.8 What is -0.1276491681 rounded to five decimal places? -0.12765 Round 3106846.12 to the nearest 100000. 3100000 What is -0.015664673 rounded to 2 dps? -0.02 Round 37.8032367 to one dp. 37.8 What is -60398361 rounded to the nearest one million? -60000000 What is 1705811.58 rounded to the nearest 100000? 1700000 Round 2693.78798 to the nearest integer. 2694 What is 0.00262309672 rounded to four dps? 0.0026 What is 0.0015530197 rounded to four decimal places? 0.0016 Round 1645.9192 to the nearest 10. 1650 What is -5.330537612 rounded to 0 dps? -5 What is -532396.5653 rounded to the nearest ten? -532400 Round -84.886188 to zero dps. -85 Round 0.000494547857 to six decimal places. 0.000495 What is 0.000761347336 rounded to four dps? 0.0008 Round -29327.591 to the nearest one thousand. -29000 Round -14753835.4 to the nearest 10000. -14750000 What is -2.267531 rounded to 2 dps? -2.27 What is 4.988543966 rounded to 1 dp? 5 Round -5.55590941 to one dp. -5.6 What is 0.000384964413 rounded to five decimal places? 0.00038 What is -0.000323324222 rounded to four dps? -0.0003 Round -0.0336280276 to 4 decimal places. -0.0336 Round -718.0324 to the nearest integer. -718 Round -53.81103084 to 2 dps. -53.81 What is -0.5796290813 rounded to 4 decimal places? -0.5796 What is -0.000008325843562 rounded to 6 decimal places? -0.000008 What is 3139.20051 rounded to the nearest 100? 3100 What is 0.000000748394151 rounded to seven decimal places? 0.0000007 Round 4332.07933 to the nearest 100. 4300 Round 74347578.1 to the nearest one million. 74000000 Round -86.44511 to 2 dps. -86.45 Round -0.0184811679 to 5 decimal places. -0.01848 What is 0.00009886427007 rounded to 5 dps? 0.0001 Round -3.647179724 to the nearest integer. -4 What is 7.86962693 rounded to 1 dp? 7.9 Round -4473811.689 to the nearest one hundred thousand. -4500000 What is 655548.73 rounded to the nearest 10000? 660000 What is 1561777.3 rounded to the nearest one hundred thousand? 1600000 What is -1.042633777 rounded to 2 dps? -1.04 What is 92211.05 rounded to the nearest 100? 92200 Round 808.5816494 to 1 dp. 808.6 Round 714977462 to the nearest 10000. 714980000 Round -0.00000079429541 to 7 dps. -0.0000008 Round 10337334904 to the nearest one million. 10337000000 Round 20723.9285 to the nearest 10. 20720 What is -0.425185043 rounded to two dps? -0.43 What is 0.0008188643945 rounded to 7 decimal places? 0.0008189 What is -0.0532615732 rounded to 3 dps? -0.053 What is 2.6556757 rounded to 3 dps? 2.656 Round 1805433490 to the nearest one hundred thousand. 1805400000 What is -0.789351225 rounded to two dps? -0.79 What is -213.340888 rounded to the nearest ten? -210 Round -0.00250535376 to seven dps. -0.0025054 Round -0.0000690384858 to five dps. -0.00007 Round 4116.9648 to the nearest 100. 4100 What is 1131.9718 rounded to the nearest 10? 1130 What i
{ "pile_set_name": "DM Mathematics" }
-2 and 22. -44 51*0.05 2.55 76 * -0.4 -30.4 What is the product of -4 and -476? 1904 -6.812*4 -27.248 0.0457*-8 -0.3656 What is 0.0279 times -2? -0.0558 42*0.29 12.18 What is the product of -971 and -5? 4855 Multiply -0.58 and 0.2. -0.116 Multiply -0.4 and -199. 79.6 What is the product of -4 and 5? -20 Work out -0.1 * 33. -3.3 What is the product of -4 and 899.3? -3597.2 8 * -46 -368 What is the product of -0.049 and 0.7? -0.0343 0 * -330 0 What is 16 times -2.2? -35.2 Product of -257 and -0.3. 77.1 Product of 0.14 and -0.02. -0.0028 Work out 26.44 * -0.09. -2.3796 0.9*14.6 13.14 Product of 3 and -5.65. -16.95 Work out -0.5 * 0.79. -0.395 -1978 * 1 -1978 3 * 197.7 593.1 Calculate 28*-18. -504 Calculate -196.3*-8. 1570.4 Calculate 2*-0.161. -0.322 Product of -9 and 1.19. -10.71 Multiply 2 and 788. 1576 Calculate -0.096*-1. 0.096 -0.02 times 127 -2.54 What is the product of 125 and 4? 500 Multiply 8.4 and -79. -663.6 6*-51 -306 -1.593*-1 1.593 Calculate 111*5. 555 -3*0.26 -0.78 What is the product of 0.06 and 92? 5.52 Product of 0.5 and -163. -81.5 1 * 9.6 9.6 -8449 * -0.3 2534.7 Multiply 1 and -0.07. -0.07 9205 * -0.3 -2761.5 What is 0.755 times -19? -14.345 Work out 0.5 * -376. -188 What is -5912 times 0.6? -3547.2 Calculate -0.2*-264. 52.8 Multiply 0.7 and -250. -175 Work out -260 * -0.03. 7.8 What is -0.3 times 45? -13.5 0 * 1625 0 Product of -0.348 and 3. -1.044 What is the product of -15 and 80? -1200 What is -5 times -54? 270 What is the product of -0.1 and 547? -54.7 Work out 16842 * -2. -33684 What is -1 times 2.7? -2.7 -18 times 92 -1656 1.97 * -2 -3.94 What is the product of 0.08 and 3342? 267.36 What is the product of 0.2 and 3.6? 0.72 Calculate -28*-0.5. 14 Multiply 55.5 and 0.3. 16.65 Multiply 26 and 27. 702 -0.489*6.7 -3.2763 Product of 4 and -365. -1460 What is 0.7 times 3.8? 2.66 Work out -2.14 * -1. 2.14 0.054*0.01 0.00054 Work out -0.21 * -7.1. 1.491 Work out 0.2 * 0.11. 0.022 Calculate -4*0.62. -2.48 Product of 210 and -0.1. -21 Multiply 1 and -0.1583. -0.1583 What is the product of 1 and 1? 1 Multiply -154.8 and -5. 774 Work out 0.4 * -0.0479. -0.01916 What is the product of 105 and 0.005? 0.525 1.17 times -3 -3.51 Product of 0.34 and -0.5. -0.17 Calculate -2060*-2. 4120 Work out 0.06 * 3.1. 0.186 0.05 times 0.238 0.0119 What is 0.9 times 13? 11.7 Calculate -2*165.6. -331.2 Calculate 0.1*861. 86.1 0.2 times 0.21 0.042 -84 * -2 168 3 * 1067 3201 Product of 1 and -70. -70 Work out 0.066 * -72. -4.752 What is the product of 56 and -0.06? -3.36 Calculate -147.7*9. -1329.3 -4.954 * 5 -24.77 Multiply 6045 and -0.5. -3022.5 Work out 5 * -0.0658. -0.329 -5332*0.1 -533.2 Multiply 4 and -9.19. -36.76 Work out -28774 * 1. -28774 Multiply -2772 and 4. -11088 Calculate -0.5*-116. 58 -5 * -1649 8245 0.1*30.5 3.05 0.4 * -0.0033 -0.00132 38.22 times -1.1 -42.042 What is 4389 times 4? 17556 Multiply 1 and 2.2. 2.2 What is 0.3 times -0.044? -0.0132 Product of 0.5 and 63. 31.5 Work out -41.5 * 15. -622.5 Multiply -1128 and 0.1. -112.8 Calculate -4*244. -976 Work out -7 * -2.9. 20.3 Work out 0.85 * 5. 4.25 -581*-4 2324 Product of 1261 and -1. -1261 Calculate 113*-25. -2825 0.42 * -2 -0.84 228 * -19 -4332 What is the product of 0.0252 and 0.5? 0.0126 -84*18 -1512 What is the product of 37.9 and -6.3? -238.77 -0.5 times 389 -194.5 Product of -1.5 and 2062. -3093 What is 0.3 times 3.9? 1.17 4*563 2252 4318*-0.1 -431.8 4 * 24 96 Work out -0.0761 * -0.4. 0.03044 Calculate 12*1409. 16908 0.2 times 2651 530.2 -160 times 2 -320 0.5 * 0.115 0.0575 Work out -2078 * -3. 6234 What is the product of 1.15 and 39? 44.85 4*-7 -28 Work out -18 * 1.3. -23.4 Product of -0.01 and 0.5. -0.005 0.5 times 0.029 0.0145 Multiply -0.5 and 77. -38.5 Work out -28.66 * -5. 143.3 Calculate -0.3*-0.21. 0.063 Product of -8 and 6. -48 Product of -0.152 and -0.2. 0.0304 What is -49 times 204? -9996 Product of 5329 and 0.4. 2131.6 -0.12*-0.191 0.02292 705*4 2820 Work out 24 * -53. -1272 Multiply 0.1 and 45. 4.5 -10*5 -50 Work out 0.497 * 1. 0.497 Calculate -0.28*93. -26.04 Product of -0.36 and -3. 1.08 Calculate 5*0.25. 1.25 Calculate -1061*0.07. -74.27 Calculate -0.057*-0.3. 0.0171 -0.12*-14.9 1.788 0.255 * -1 -0.255 Multiply -202 and 8. -1616 Calculate 0.5*0.58. 0.29 What is -5 times 11.1? -55.5 What is the product of -3 and 0.21? -0.63 Product of 2 and 1.48. 2.96 -0.2 times 63 -12.6 -1.5*0.8 -1.2 Product of 73 and -0.083. -6.059 16 * -1 -16 Calculate 8.54*6. 51.24 -2.5 * 11 -27.5 What is -0.024 times 0.07? -0.00168 What is -11 times 1? -11 What is 209 times -0.4? -83.6 -80 times 1.13 -90.4 Multiply 0.0635 and -7. -0.4445 What is -0.1 times -0.068? 0.0068 -2.8 * -7 19.6 0.703 * -1 -0.703 Calculate -4*-7.02. 28.08 -0.2 * -173 34.6 Calculate 275*-29. -7975 Calculate -39*-0.08. 3.12 Product of -0.244 and 5. -1.22 Multiply 0.32 and 1.4. 0.448 -0.1 * -3.5 0.35 Calculate -11442*-0.3. 3432.6 Calculate -0.52*0.5. -0.26 3.2 * 1 3.2 -84*-1 84 0.65*-0.06 -0.039 Calculate -66*-283. 18678 What is the product of 1.5 and -0.1? -0.15 Work out -0.6 * -2678. 1606.8 35 times 0.3 10.5 Calculate -2010*-5. 10050 Multiply 0.2 and 1147. 229.4 Work out -1 * 0.01227. -0.01227 Multiply -0.19 and -0.04. 0.0076 0*-141 0 Work out -2.615 * 0.3. -0.7845 Calculate 1593.3*-0.4. -637.32 1.7*-1 -1.7 737*1 737 Work out 218 * -13. -2834 Product of 0.1 and 4481. 448.1 Work out 8311 * -1. -8311 -49*15 -735 Calculate -0.6*62. -37.2 1.529*-0.08 -0.12232 24.16 * -0.1 -2.416 What is 3.77 times -0.3? -1.131 What is the product of 0.2 and 2.295? 0.459 Product of -7.2 and 0.12. -0.864 0.040789 times -1 -0.040789 Work out 0.04 * 17.6. 0.704 -2*-2.4 4.8 -0.3 times 2.7 -0.81 Calculate -1589*0.1. -158.9 Multiply 1 and 310. 310 -5 * -103 515 Calculate -1*-11.21. 11.21 Multiply -0.619 and -0.5. 0.3095 -0.21*-1 0.21 -0.5 * -0.16 0.08 3 * 45.6 136.8 Multiply -0.4 and 1039. -415.6 -0.2973 * 0.3 -0.08919 What is the product of -16.3 and -0.48? 7.824 Product of -3.06 and -0.1. 0.306 Multiply 79 and -89. -7031 Product of -6 and 698. -4188 Multiply -41.1 and 0.1. -4.11 Product of -5949 and 2. -11898 3.1*0.43 1.333 -6 times -17.2 103.2 Product of -0.095 and -0.07. 0.00665 Product of -11.9 and -0.6. 7.14 Work out -0.4 * -11. 4.4 Work out -5 * -9.5. 47.5 3 * -17 -51 Calculate 0.3*0.08. 0.024 Work out -38 * 49. -1862 What is the product of -3.5 and -8? 28 -0.1 * 0.7836 -0.07836 What is -0.2 times -108.8? 21.76 55 times -7 -385 Multiply 0.3 and 1.5. 0.45 Work out -666.3 * 0.1. -66.63 Calculate 0.4*-20. -8 Multiply 122 and -0.21. -25.62 0.46*0.54 0.2484 What is 0.0263 times -0.051? -0.0013413 Work out 5 * 255. 1275 What is the product of -0.6 and 1480? -888 What is the product of 33.1 and 0? 0 What is the product of 2 and -33? -66 2 times -40 -80 -0.09*6 -0.54 Work out 9 * 44. 396 Calculate 0.072*-0.3. -0.0216 What is the product of -1.5 and 60? -90 Calculate 0.13*0.08. 0.0104 Product of -3603 and 0.1. -360.3 Calculate -2*-176. 352 -0.047 * -0.0299 0.0014053 What is the product of 0.2 and -112? -22.4 Multiply -0.073 and 1. -0.073 What is -484 times 1.6? -774.4 What is -0.7 times 14? -9.8 Product of -27 and 45. -1215 Product of -0.4 and 9.6. -3.84 -0.3 * -0.68 0.204 0 * -283 0 -2 * 338 -676 1.2 times 0.5 0.6 96 times 0.05 4.8 0.09 * 0 0 -0.08 times -31 2.48 Product of -594 and -0.4. 237.6 Work out 11 * -100. -1100 -105 times 0.5 -52.5 Product of 0.4 and -343. -137.2 -0.6 * 9.5 -5.7 Work out 22 * 14. 308 Product of 0.6 and -27.1. -16.26 0.3 * -23 -6.9 Product of -25 and -0.5. 12.5 -1 * 89 -89 Calculate -3*2860. -8580 Calculate 22*-6. -132 19.2 * 5 96 Multiply -3.3 and 14. -46.2 Multiply 37 and -64. -2368 -0.54 times -82 44.28 757 * -4 -3028 Calculate -126*-0.3. 37.8 What is the product of -0.8 and -0.17? 0.136 Product of -145 and -0.7. 101.5 Multiply -0.3 and -6.4. 1.92 4*-2.88 -11.52 -0.137*-9 1.233 75.5 times 2 151 Calculate -0.151*0.5. -0.0755 Work out 370 * -1.2. -444 Product of -2.3 and -6. 13.8 What is the product of 0.008 and 21? 0.168 Multiply 94 and 8. 752 Multiply -0.057435 and 0.1. -0.0057435 17.803 times 5 89.015 0.07 * -1 -0.07 Product of 5 and 293. 1465 Work out -3 * 0.26. -0.78 What is -2 times 0.3078? -0.6156 Product of -0.2 and 3.49. -0.698 What is the product of -5 and -193? 965 22 * 140 3080 -178 * -14 2492 What is the
{ "pile_set_name": "DM Mathematics" }
z - 16 = 5 + 74. Solve 28*a + 135 + z = 0 for a. -5 Let m = 12621 + -12606. Solve 448 = -m*j + 433 for j. -1 Let n be (-526 - -523) + (48/(-10))/((-3)/60). Solve -25*x = -n + 268 for x. -7 Let m = -337 + 340. Suppose 2*g - 28 = -m*c, 2*c - 9*g - 26 = -14*g. Solve 8*b + c = 6*b for b. -4 Suppose -25*t = -70 - 30. Suppose -g - 5 = -2*r - 1, t*r + 4*g - 20 = 0. Solve r*k = k - 6 for k. -3 Let s(z) = -z**3 + 20*z**2. Let a be s(20). Suppose a = -4*r - 20, -4*u + 5*r = -63 + 18. Solve -u*k - 1 = -21 for k. 4 Let t = -27 + 31. Suppose -8 = t*j - 4*k + 12, 0 = -5*j - 4*k - 34. Let f be (-54)/(-12)*j/(-9). Solve -4 + f = -w for w. 1 Let u(o) = -o**2 + 4*o + 1. Let l be u(3). Suppose -9 = -9*p - 81, -4*a + 92 = -4*p. Solve -l*j - a = -j for j. -5 Let u be 32 - (4 - (-9)/2*(-90)/(-135)). Solve -32*g + u*g = -42 for g. 6 Suppose 0 = p + 127*p - 2486 + 438. Solve 23 - 71 = -p*i for i. 3 Let h = -236 + 190. Let u be h/(-6) + 0 - 53/(-159). Solve d = -d - u for d. -4 Let m be 4/12*(-6)/(-1). Let a(q) = q**3 + 5*q**2 - 3*q - 3. Let r be a(-3). Suppose r*n = 19*n + 75. Solve m*o = 7*o + n for o. -3 Let i(v) = -v**2 - 18*v - 14. Let u be i(-17). Let w be 2/(u - 76/28). Suppose -k - 1 = -6. Solve 0 = -k*p + 8 + w for p. 3 Let w be 22/33 + (-538)/(-9)*3. Let u = -180 + w. Solve 12*q - 13*q = u for q. 0 Suppose 1010 = 4*m - 5*n, -n = -m + 7*n + 293. Solve m = -96*b - 427 for b. -7 Suppose 45*h = 21*h - 336. Let f be 4/h - (-11)/(231/6). Solve f = 10*i - 9*i - 1 for i. 1 Let v be (-6)/48*-12*44. Suppose 2*o - v = -4*y - 0*o, -5*y = 5*o - 85. Solve 0 = 2*n + 6*n + y for n. -2 Let o(c) = -c**3 + 6*c**2 - 15. Let i be o(5). Suppose -2*t = -2*y - 2, -5*t + y + 17 = -y. Solve i = -t*s + 30 for s. 4 Suppose -2*j + 970 = -l + 966, 4*l - 2*j = -4. Solve l = 39*g + 132 + 63 for g. -5 Let u(h) = 1. Let r(s) = -13*s - 58. Let g(i) = -r(i) - 6*u(i). Let a be g(-4). Solve 5*w - 6*w = a for w. 0 Suppose 2*a - 2*r = 32, 224*a - 220*a + 3*r = 71. Solve -25*p + a*p + 24 = 0 for p. 3 Suppose 5*i - 6*i + 4*b + 5 = 0, 3*i = -3*b. Let k be i + -1 + 5 - 3. Let v = 2 - -2. Solve -k*m + 2 = -v for m. 3 Suppose -9*g + 10*g - 2 = 0. Suppose 5*y + 16 = 4*z, 0 = y + 5*z - 34 + 14. Suppose 0 = -4*n + 4*t - 8, -3*n + 5*t = -5*n + 10. Solve g*d + n*d = y for d. 0 Suppose 0 = 61*g - 60*g + 3*z - 33, -5*g = -2*z - 114. Suppose -2*a = -2*c - 2, -g = -3*a + 14*c - 18*c. Solve -a - 16 = -4*q for q. 5 Suppose -2*v + y + 4 = 0, -3*y + 8 = -y. Let t(a) = -a**2 + 2*a + 12. Let d(o) = 1. Let m(w) = -2*d(w) + t(w). Let p be m(v). Solve 2 = -p*q + 4*q for q. 1 Let o(m) = m**2 - 5*m - 26. Let g be o(-3). Let d(k) = k**2 + 13*k + 26. Let f be d(g). Solve 2*r = r - f for r. -4 Let n be (-2)/10 + 22/10. Let l(k) = -40*k - 2. Let i be l(-1). Suppose -5*x - 1 = 2*t, -i = 5*t - 9*t - 2*x. Solve f + n*f - t = 0 for f. 4 Let p(z) = 4*z + 6*z + 3*z + z**2 + 24. Let g be p(-11). Suppose 56 = g*l + 2*h, 2*h = 3*l - 2*h - 63. Solve -4*q - q = l for q. -5 Let f be ((30/(-12))/((-1)/(-2)))/(-1). Suppose -3*s - 29 = -5*y, f*y + 29 = -2*s + 43. Solve 2*v - y = -10 for v. -3 Suppose -5*y + 5*j + 20 = 0, 5*y - 4*j - 24 = -j. Suppose 4*g + y*g = 30. Solve 2*t + g = t for t. -3 Let r be 7 - ((-1)/(-5) - (-42)/15). Suppose r*k - q = -12, -3*k + q + 3*q + 4 = 0. Let p be (k - -3)*-1 - -4. Solve -f = -p*f for f. 0 Suppose 92 = 47*a - 2. Suppose -y + 2*n = -15, -25 = -3*y - a*n + 4*n. Solve 0 = 5*g + y - 15 for g. 2 Suppose -29*p - 670 - 113 = 0. Let q = 146 - 98. Let c be (4/(q/(-9)))/(p/144). Solve 0 = -b + c for b. 4 Let q(s) = -19 - 4*s - 3 - 2. Let o(d) = d + 6. Let a(g) = 18*o(g) + 4*q(g). Let r be a(-5). Solve 5 = r*c + 3*c for c. 1 Let n(w) = -w**2 - 15*w + 34. Let c be n(-18). Let s be ((-15)/c)/((-27)/(-72)). Solve -9 = -l - s*l for l. 3 Let i be 1 - (1 + -1 + -7). Let c be 1 + (7 - i - -10). Solve 2*b = -3*b - c for b. -2 Let f be (-3466)/4 - (-15)/10. Let z = -861 - f. Solve -4 = -z*r + 16 for r. 5 Suppose 4*c + 5*x + 21 = 3*c, -5*x = 3*c + 13. Let o be ((-2)/4)/(c/(-16)). Suppose -3*s - 22 = -5*s + 5*f, 3*f = o*s - 18. Solve 5*l + s = 31 for l. 5 Suppose 51*c = 18*c + 696 + 129. Solve -41*p - 303 - c = 0 for p. -8 Let b(f) = -9*f**2 + 222*f + 322. Let g be b(26). Solve 29 = -g*i + 19 for i. -1 Let f be 8/(-28) + (-66)/14. Let x(p) = -4*p + 3. Let n be x(f). Let v = -10556 - -10559. Solve v = 4*m + n for m. -5 Suppose -3024 = -488*q + 236*q. Solve -q*c - 51 = -135 for c. 7 Suppose 3*s - 8*s + j + 648 = 0, -5*j = -10. Let g be (-3)/(-5) - (-442)/s. Solve 0 = 7*v - g*v for v. 0 Let g(z) = z**3 - 2*z**2 + 3*z - 1. Let m be g(2). Let j be 1 + -5 + 16 - 1*3. Let x be (-2 + 24/j)/((-2)/(-51)). Solve m*o + 8 = -x for o. -5 Let g be 34 - (1 + -8 - -4). Suppose 49 - g = 4*y. Suppose 3*w - 3 + 0 = -y*i, 0 = i + 3. Solve w*f = -1 + 9 for f. 2 Suppose 0 = -3*v - s + 9, 0 = -26*v + 27*v + 2*s - 3. Solve -v*g + g + 5*g = 0 for g. 0 Suppose -7 = 3*d - 22. Let c = 11 + -19. Let s be (c/5)/((-6)/15). Solve -y - s*y = d for y. -1 Let j be (-1 + (5 - 2))/1. Let t be -1 + (4*2/(-18))/(462/(-4158)). Solve -j*u + 5 = -t*u for u. -5 Let p(a) = 12*a**2 - a - 1. Let d be p(-1). Suppose -2*u = -3*g + 69, -g - 2058*u + 21 = -2059*u. Solve 5*y = -g + d for y. -3 Let t = 168 - 127. Suppose 0 = t*y - 46*y + 10. Solve d - y = 3*d for d. -1 Let s(x) = 56*x + 89. Let d be s(-7). Let a = d + 306. Solve 3*f + 0*f - a = 0 for f. 1 Suppose 0 = 5*a - 3*w + 60, -a + 2*w - 8 - 11 = 0. Let h(r) = 2*r**2 + 16*r - 12. Let n be h(a). Solve n*m = -m for m. 0 Let n be (25 - 25)*1/3. Solve 0 = -13*k - 39 - n for k. -3 Suppose -4*l + 52 = 3*a - 105, a - 47 = 4*l. Solve 147 - a = 32*q for q. 3 Let y(v) = -48*v**2 + 47*v**2 - 5 - v + 0*v + 38. Let d be y(5). Suppose 0 = 3*f + 2*t - 2, -t - 1 + 2 = -4*f. Solve f = d*i - 6*i + 6 for i. 2 Suppose 4*r = -2*z + 30, -507*r - 4*z = -511*r. Solve 4*c = r*c - 5 for c. 5 Suppose -11*x + 24*x - 1664 = 0. Let u = x - 123. Solve -7*h = -12*h + u for h. 1 Suppose 5*d - 14 = -4*v - 0*v, 2*v + 6 = 4*d. Let g be (-18)/(-12) + 2 - (-4)/8. Suppose 0 = -3*f + 5*k + 15 + 9, g*k = -12. Solve -n + f = -d*n for n. -3 Suppose 85*t - 21 = -4*p + 86*t, 2*p = 3*t + 23. Let g(b) = -1 + b - 7*b - 5*b**2 - b**3 + 0*b**3. Let d be g(-4). Solve 0 = p*n - d*n - 6 for n. -2 Let j = 19354 + -18500. Solve 865*y - j*y = -55 for y. -5 Suppose -2*t + 12 = 4*b, -b + 4*t + 2 = 8. Let d = 55 - 55. Suppose 4*w = a - d - 17, -3*w = 3*a - 6. Solve a*x - b = -7 for x. -1 Suppose 0 = 5*y + l - 10, -y - 5*l + 8 = 6. Let i be 0/1*y/(4 - 6). Solve -7*a + 2*a = i for a. 0 Let v be 1/(226/(-590) + (104/(-65))/(-4)). Solve v*m = 54*m + 10 for m. 2 Let f(c) = -c**3 + 4*c**2 + 58*c + 8. Let n be f(-6). Let q be 100/(-6)*(-24)/n - 4. Solve q*v - 25 = 11*v for v. 5 Let c = -49 + 75. Suppose 22*b - c*b = -380. Let w = b + -90. Solve s = w*s for s. 0 Suppose 0 = 5*r - 17 - 13. Suppose 0 = 31*y - 7*y - 108 + 12. Solve -r*s = -2*s + y for s. -1 Let a = 78 - 82. Let x(b) = -3*b**2 + 6*b + 11 + 4*b**2 + 0*b**2. Let r be x(a). Solve r + 7 = -2*h for h. -5 Let i = -375 + 370. Let y(p) = -p**2 - 29*p - 114. Let d be y(i). Solve 0*u - 3*u + d = 0 for u. 2 Let w be (-3)/(-2) - (-10 - (-17)/2). Let q = -14 + 41. Suppose 4*a - w*d = q, 0*a - 19 = 2*a + 5*d. Solve -1 = -j - a for j. -2 Let u(z) = -10*z**3 + 465*z**2 - 227*z + 11. Let s be u(46). Solve -23*i - s + 80 = 0 for i. -3 Let m = -2499 - -2507. Solve -m*i + 2*i + 30 = 0 for i. 5 Let x be 30/(-225) + (-244)/(-30). Suppose o - 3*r + 8*r + x = 0, 5*r + 120 = -5*o. Let n = -22 - o. Solve -b + 3 = n for b. -3 Suppose 22*o - 11*o = 246 + 326. Solve o*x + 78 = 26*x for x. -3 Let a = -273 - -293. Suppose 2*f + 54 = a*f. Solve f = -y - 0*y for y. -3 Let f = 541 + -539. Suppose i - 5*c + 4 = 0, 5*i = -6*c + f*c + 9. Solve -2*v = -v - i for v. 1 Let o be -1 - (9/18 + (-3)/2). Suppose -5*y + o*y + 25 = -5*z, 3*z = 9. Solve -4*q + y*q = 0 for q. 0 Let x(u) be the first derivative of -u**3/3 + 3*u**2 + 4*u + 14. Let l be x(6). Solve 0 = l*q - 2*q for q. 0 Let u(c) = c**3 - 50*c**2 - 104*c + 93. Let x be u(52). Solve -12*o - 19*o = x for o. -3 Let h = 3166 - 3164. Solve 0 = 7*r - h*r - 10 for r. 2 Let o be ((-1518)/92)/((-1)/12). Let v = o + -192. Solve v*l = -2*l + 32 for l. 4 Let d(q) be the first derivative of q**4/6 + 8*q**3/3 + 17*q**2
{ "pile_set_name": "DM Mathematics" }
smaller: -5 or 77? -5 Which is smaller: 7 or -72? -72 Which is smaller: 482 or -0.1? -0.1 Is 2/875 < 1? True Which is bigger: -5 or 5/4? 5/4 Is -540 smaller than 6? True Is 721 at least as big as 742? False Which is smaller: 990/41 or 25? 990/41 Which is bigger: -2 or -173/167? -173/167 Is 1/292 greater than 1? False Which is smaller: -107 or 9? -107 Which is bigger: -2514 or -12567/5? -12567/5 Which is greater: 1/5 or 19/52? 19/52 Is 6/19 greater than 1? False Do 3863 and 3863 have the same value? True Which is smaller: 227 or 228? 227 Which is bigger: 743 or 740? 743 Is -5950 at most as big as -5951? False Is -3 < -3/4? True Is -12/37 at least 17? False Is 6/11 not equal to 0? True Which is smaller: 53/8 or -0.7? -0.7 Which is bigger: -2/605 or 1? 1 Which is greater: -532/9 or 4? 4 Which is smaller: 3/40 or 1? 3/40 Is 1 < -4/177? False Which is bigger: 15274 or 15275? 15275 Which is bigger: 0.09 or 5.59? 5.59 Which is bigger: 23 or 371/17? 23 Is -457 greater than or equal to -457? True Which is smaller: -2 or -72/25? -72/25 Which is smaller: 6512/5 or 1? 1 Is 2/3 greater than -8/1177? True Which is smaller: -3/16447 or 0? -3/16447 Do 96/757 and 1 have the same value? False Is -69 smaller than -73? False Is 202 greater than or equal to -7? True Is -227 equal to -228? False Is -738 < -0.1? True Is 7221 at most as big as 7222? True Does 0 = -5589? False Do -2/1553 and 1 have different values? True Is 19/2 less than 10? True Is 10860 at least as big as 10859? True Is 1 >= 6/8075? True Is 343 equal to 344? False Which is greater: 0 or -1/20883? 0 Do -1 and -49/145 have the same value? False Which is smaller: -911 or 0.1? -911 Does 96 = -7? False Is 3 bigger than 251/83? False Which is smaller: 145.8 or 1/5? 1/5 Is -11333 less than -11332? True Is 4 at most -23? False Is -20 >= -17? False Is 1/59 smaller than 1? True Which is bigger: -0.1 or -0.0969? -0.0969 Does 20 = -6? False Is 2656 greater than 2655? True Is 118 smaller than 118? False Is 4/3077 at least 0? True Which is smaller: -2278 or -2277? -2278 Which is bigger: 195 or 3302/17? 195 Which is smaller: -19/17 or 0? -19/17 Is -3/151 at least as big as 0.01? False Is -311/10 less than -31? True Is 30 at least as big as -10? True Which is bigger: 1155 or 1156? 1156 Which is smaller: 1/40 or 0? 0 Which is smaller: 122 or 140? 122 Is -2851 less than or equal to -2851? True Which is bigger: 113 or 111? 113 Is 1 > 2409? False Is -8 > -58/7? True Is 964 less than 963? False Which is greater: -5/2536 or 0? 0 Are 1/3 and 919 nonequal? True Which is smaller: 152/5 or -1/2? -1/2 Is 2/19 greater than or equal to -7/2? True Which is smaller: 198 or 197? 197 Is 89 not equal to 18? True Which is bigger: 253 or -3/7? 253 Is 2/5 at most as big as -214? False Is 1 smaller than 564? True Which is smaller: 1/7502 or 1? 1/7502 Which is smaller: 2 or -3/158? -3/158 Is 438/13 at most as big as 33? False Which is smaller: -453/17 or -26? -453/17 Is 0 smaller than -1/488? False Which is greater: 0.3 or 0.0563? 0.3 Are 5 and 9 equal? False Do -789 and -781 have the same value? False Which is greater: -40193 or -40192? -40192 Is -120 > -116? False Is -604 less than or equal to -604? True Is 283 >= 279? True Is -0.1 less than -1313? False Which is smaller: -11/2158 or 0? -11/2158 Is -1/428 at least 1? False Is 2 bigger than 44/13? False Is -2 > -39/32? False Which is bigger: 0 or -1/32431? 0 Is -814 greater than -817? True Does -1982 = -1980? False Which is smaller: 4962 or 4961? 4961 Is 1 <= -1/85925? False Which is bigger: -135 or -136? -135 Is -7957 at most as big as -0.1? True Which is greater: -11/102 or 0? 0 Which is smaller: -41 or -16? -41 Which is smaller: 5 or -3? -3 Is -4635/4 < -1160? False Is 1445 < 1433? False Is 1 >= 169? False Which is smaller: -0.1 or -353/13? -353/13 Which is bigger: 301 or 4? 301 Is 850 equal to 9? False Do 401 and 401 have different values? False Which is smaller: 244 or 245? 244 Is 173/57 less than 4? True Is -255 less than 0.2? True Is -3/275 != 0? True Is 0.2 greater than 136? False Do 110 and 5 have different values? True Is -637 <= 1? True Which is bigger: -39 or -37? -37 Is 3 < 94/39? False Is 9 not equal to 4/5? True Which is bigger: 17 or -295? 17 Which is bigger: 2 or 5733? 5733 Which is greater: 2067 or 2069? 2069 Is 2410 less than 2410? False Is -92 at least as big as 29? False Which is smaller: 7046 or 49316/7? 49316/7 Is 244 at least as big as 240? True Which is smaller: -1022 or -1019? -1022 Which is smaller: -3/68 or 1? -3/68 Is 89 greater than or equal to 116? False Is 1.27 at most as big as -7? False Which is smaller: 15 or -2? -2 Which is greater: -0.125 or 0.06? 0.06 Which is greater: 2 or 31/10? 31/10 Is -1/100 greater than 1? False Which is smaller: 5 or 154/37? 154/37 Which is bigger: 1 or 16/27? 1 Which is smaller: -1 or 14? -1 Is -89 != -268? True Is 3634 at least as big as 39972/11? True Which is greater: -0.018 or 6? 6 Which is smaller: -218 or -3729/17? -3729/17 Which is smaller: 1 or 9/2057? 9/2057 Is -7/90 not equal to 0? True Which is greater: -2 or -79/29? -2 Is 0 > 292? False Which is smaller: 5/6 or 17.3? 5/6 Do 3 and -128 have the same value? False Is 13 at least as big as 61/5? True Which is bigger: 10222 or 0? 10222 Do 34 and 40 have different values? True Is 26109 <= 26108? False Are -1 and 1/2544 non-equal? True Which is greater: -1/3 or -44/17? -1/3 Which is greater: 10 or 98/9? 98/9 Is 3 greater than 3? False Is 219/7 >= 32? False Is -192/35 at most as big as -5? True Is -355 smaller than -3? True Is 3 less than -1394? False Does 0 = 21/46? False Is 17 less than or equal to 55? True Is 7 at most 292/47? False Which is smaller: 5 or -46? -46 Which is smaller: -240 or -2156/9? -240 Which is bigger: -33/13 or -2? -2 Which is smaller: -0.547 or -1? -1 Which is smaller: -925 or -1? -925 Is -13506 at least -13507? True Is 0.13 at most as big as 1/229? False Which is smaller: 45/2 or -0.1? -0.1 Which is smaller: -1 or -2/351? -1 Is 189 at least as big as 185? True Which is smaller: 10 or 32/3? 10 Which is smaller: -265 or -1326/5? -1326/5 Which is greater: 2/15 or -1/11? 2/15 Which is greater: -1.3 or 1173? 1173 Which is smaller: -212 or -638/3? -638/3 Which is greater: 72 or -7/8? 72 Which is smaller: 10837/5 or 2166? 2166 Is 434 smaller than 435? True Which is greater: 1/3 or 39436? 39436 Is -11 bigger than -58? True Which is smaller: 12 or -7? -7 Is -4/649 >= -1? True Which is greater: -29 or 0? 0 Is -531/23 < -23? True Which is bigger: -1/2 or -6/35? -6/35 Is -495 less than or equal to 32? True Which is bigger: -37 or 1? 1 Is 14310 equal to 14309? False Is 159 > 160? False Which is greater: -0.45 or -0.39? -0.39 Which is bigger: -130/601 or 1? 1 Is -1 not equal to -1/7605? True Which is greater: 1 or 23/35? 1 Is 3 greater than -1178? True Which is bigger: -1 or -2/2487? -2/2487 Is 30/301 less than or equal to 0? False Is 32 less than or equal to 21? False Which is bigger: 2.73 or -4? 2.73 Is 4/485 < -1? False Is -37/79 > 0? False Is 0 <= -2/18037? False Is -1/8 at least 107? False Which is smaller: -9056/3 or -3018? -9056/3 Which is smaller: 8184 or 8183? 8183 Which is smaller: 4/863 or -1? -1 Is 4047 smaller than 4048? True Is 32 bigger than -1? True Is -146 not equal to -146? False Is -1.45 at most 0? True Which is greater: 1189 or 1190? 1190 Which is smaller: -51 or -995/19? -995/19 Which is greater: -52 or 3/28? 3/28 Are 2/11 and 3/35 unequal? True Is -832 <= -3323/4? True Which is smaller: 1/422 or 1? 1/422 Which is smaller: -2/2567 or -1? -1 Which is smaller: 9096 or 9095? 9095 Which is smaller: -158 or -631/4? -158 Is 34/7 < 1? False Which is bigger: -113 or -131? -113 Is -24 at most -19? True Is -53 smaller than -51? True Does 16628 = 16628? True Which is smaller: 1 or -3/812? -3/812 Do 28 and 6 have the same value? False Is -17720 less than -17721? False Which is smaller: 2/19001 or 1? 2/19001 Which is bigger: 67/144 or 1? 1 Which is smaller: -672/17 or -40? -40 Are -522 and -1 nonequal? True Is 2/9 at most -16.4? False Is -75 bigger than -75? False Is -2/203 at least 1? False Which is bigger: 855 or 0? 855 Which is bigger: 62 or 3? 62 Which is smaller: -9283/3 or -3093? -9283/3 Which is greater: -1 or 686? 686 Is -154 greater than
{ "pile_set_name": "DM Mathematics" }
726916 and 55749980? 1282249540 What is the lowest common multiple of 83380 and 7079720? 77876920 What is the common denominator of 95/62860608 and 137/17679546? 565745472 What is the least common multiple of 47120166 and 222? 47120166 Calculate the common denominator of -79/8106 and -17/63588. 12272484 Find the common denominator of -75/657682 and -47/64. 21045824 Calculate the common denominator of -46/102209 and 46/49583. 28311893 Calculate the lowest common multiple of 5634 and 6865029. 13730058 Calculate the lowest common multiple of 2112 and 26537808. 106151232 Calculate the lowest common multiple of 288 and 20108547. 643473504 What is the least common multiple of 202644 and 10854? 122194332 What is the common denominator of -35/28327 and -3/1741? 49317307 What is the common denominator of 94/8583135 and -26/25749405? 25749405 What is the common denominator of 23/333528 and -23/31129280? 93387840 Find the common denominator of 23/98678358 and 43/31842. 98678358 Calculate the common denominator of -79/839349 and 58/1323. 5875443 What is the common denominator of 31/15873 and 28/496947? 6460311 Calculate the lowest common multiple of 6532 and 92584. 2129432 Find the common denominator of 94/52843605 and -28/9. 158530815 What is the least common multiple of 2778312 and 98630076? 197260152 Find the common denominator of -9/4766 and -3/7060. 16823980 Calculate the common denominator of -75/89512 and -11/132124. 44129416 Calculate the smallest common multiple of 3138480 and 10800. 15692400 What is the least common multiple of 968796 and 1184084? 10656756 What is the lowest common multiple of 25 and 153260? 766300 What is the lowest common multiple of 2497278 and 9? 7491834 What is the smallest common multiple of 84 and 120180? 841260 Calculate the common denominator of -11/154215 and 203/78135600. 234406800 Calculate the least common multiple of 20 and 196258768. 981293840 Calculate the smallest common multiple of 1411792849 and 11. 15529721339 Find the common denominator of 49/4958370 and -103/54. 14875110 Find the common denominator of 97/52046 and 13/152746. 74998286 What is the least common multiple of 283182 and 1962? 849546 What is the lowest common multiple of 2078148 and 4156296? 4156296 What is the common denominator of 179/3213690 and -47/3535059? 35350590 What is the common denominator of -113/21587140 and -89/10793570? 21587140 Find the common denominator of -69/27745852 and 79/128. 887867264 Calculate the lowest common multiple of 3180 and 103580. 16469220 What is the smallest common multiple of 2140 and 220? 23540 What is the least common multiple of 3203473 and 82? 262684786 Calculate the common denominator of -77/5944936 and -111/16348574. 65394296 What is the common denominator of -17/2132 and -51/121667? 19953388 Calculate the smallest common multiple of 472350 and 12462. 14642850 Calculate the least common multiple of 452844 and 8856. 37133208 Find the common denominator of -71/411 and -22/18704747. 56114241 What is the lowest common multiple of 9691524 and 2? 9691524 What is the lowest common multiple of 5202 and 612? 10404 Calculate the smallest common multiple of 17986212 and 5751. 1277021052 Calculate the least common multiple of 2820 and 745044. 3725220 Find the common denominator of -15/2411332 and 13/42801143. 171204572 Calculate the lowest common multiple of 31617 and 89. 2813913 Find the common denominator of 46/190687 and -40/3732017. 26124119 What is the common denominator of 1/1804 and -10/172293? 28256052 What is the smallest common multiple of 1694422 and 9564? 10166532 What is the lowest common multiple of 102 and 2941170? 2941170 Find the common denominator of 41/2650572 and 32/148461. 108673452 What is the lowest common multiple of 4764 and 3204584? 9613752 Calculate the smallest common multiple of 1169148 and 1461435. 5845740 What is the lowest common multiple of 18300 and 10909240? 163638600 Calculate the smallest common multiple of 466 and 309012. 71999796 What is the common denominator of 1/1601070 and 37/234? 62441730 What is the common denominator of 31/785624 and -71/5162672? 36138704 Find the common denominator of -109/196997248 and -65/196997248. 196997248 Calculate the smallest common multiple of 5569242 and 530404. 11138484 Calculate the common denominator of 87/18307432 and -103/4708. 1958895224 Find the common denominator of -77/127680444 and 35/6303. 1404484884 Calculate the common denominator of 45/25648088 and 187/8185560. 384721320 Calculate the lowest common multiple of 1689170 and 191821. 113174390 What is the lowest common multiple of 5395 and 748826? 3744130 Calculate the least common multiple of 60 and 4392884. 65893260 Find the common denominator of -167/1980 and -151/4530240. 4530240 Calculate the smallest common multiple of 4176 and 1606896. 46599984 What is the smallest common multiple of 32161 and 31610? 35055490 Calculate the common denominator of -53/16356845 and -1/2135. 114497915 Find the common denominator of -10/6843 and -71/168. 383208 Calculate the smallest common multiple of 6502384 and 966. 448664496 What is the common denominator of 85/144678 and 92/361695? 723390 Calculate the smallest common multiple of 3549 and 290724. 49132356 What is the common denominator of -83/1579470 and 95/272? 12635760 What is the least common multiple of 609945 and 1045620? 7319340 What is the least common multiple of 2222 and 11463298? 11463298 Calculate the common denominator of -149/48324780 and -131/2531298. 531572580 What is the common denominator of 149/887754 and -68/3669? 1085723142 What is the least common multiple of 595959 and 7826? 51252474 What is the common denominator of -125/23404884 and 19/2053060? 117024420 Calculate the least common multiple of 2686460 and 4960. 21491680 What is the common denominator of -131/8193396 and 121/84? 57353772 Find the common denominator of 63/4 and 75/55113286. 110226572 Calculate the lowest common multiple of 219 and 792051. 57819723 What is the lowest common multiple of 32 and 7436300? 59490400 What is the common denominator of -169/2040 and 20/654807? 445268760 Calculate the lowest common multiple of 72762 and 287028. 51952068 Calculate the least common multiple of 15 and 12574749. 62873745 Calculate the common denominator of 61/1436 and 89/4226866. 8453732 Calculate the least common multiple of 8303310 and 25. 41516550 What is the smallest common multiple of 96 and 3314240? 9942720 What is the lowest common multiple of 38778960 and 10341056? 155115840 What is the least common multiple of 19226754 and 888? 76907016 What is the least common multiple of 1680 and 577920? 577920 Calculate the lowest common multiple of 5483262 and 1229007. 71282406 What is the common denominator of -46/294729 and 10/23001? 132922779 What is the lowest common multiple of 10 and 43359334? 216796670 What is the least common multiple of 4356774 and 4356774? 4356774 Find the common denominator of 3/648835 and 32/13805. 648835 Calculate the least common multiple of 4853504 and 2730096. 43681536 Find the common denominator of -13/30 and -19/2121624. 10608120 Calculate the least common multiple of 114 and 6756590. 20269770 What is the least common multiple of 97312672 and 24328168? 97312672 Calculate the lowest common multiple of 105111470 and 25065. 946003230 What is the least common multiple of 324156 and 114862? 82011468 Find the common denominator of 13/5256760 and -49/36. 47310840 What is the least common multiple of 135236775 and 228? 540947100 Calculate the least common multiple of 106424 and 12398396. 24796792 What is the least common multiple of 4530390 and 465? 140442090 What is the least common multiple of 230 and 9353686? 46768430 Calculate the common denominator of 79/66594058 and -101/6. 199782174 What is the least common multiple of 28381680 and 5203308? 312198480 What is the smallest common multiple of 38659608 and 1321696? 154638432 Calculate the lowest common multiple of 187 and 5826469. 99049973 Calculate the lowest common multiple of 211169700 and 180. 211169700 What is the least common multiple of 539070 and 1275? 2695350 What is the common denominator of 59/455328 and -89/163928? 300971808 Calculate the smallest common multiple of 3797143 and 64
{ "pile_set_name": "DM Mathematics" }
or c. 91 Solve -636*q + 186*q + 2890 = 15940 for q. -29 Solve 1730931*g - 1730905*g + 1898 = 0 for g. -73 Solve 24549*l = 24481*l - 4488 for l. -66 Solve 35*a + 19*a + 3*a + 310 = -5*a for a. -5 Solve -1725*t = -7063 - 445 - 1117 for t. 5 Solve -4943 = 403*z + 5838 + 12015 - 3855 for z. -47 Solve 668*a - 1174*a - 1075*a = 2393*a - 47688 for a. 12 Solve 31*n = -20408 + 19323 for n. -35 Solve -60*b = -222*b + 105*b - 3762 for b. -66 Solve 1275*r - 128234 = -1000*r - 25859 for r. 45 Solve 8*v - 1485 = 17*v - 64*v for v. 27 Solve 226*x + 341*x - 247*x - 11976 = -678*x for x. 12 Solve -849*r - 2996*r - 4465*r + 1011310 = 484*r for r. 115 Solve -593*k + 58468 = 344*k - 315*k for k. 94 Solve -71*p + 73*p = 134*p + 2906 - 9506 for p. 50 Solve 0 = 1032*t - 21473 - 23935 for t. 44 Solve 1264*s + 1769*s + 312*s = -794*s + 326981 for s. 79 Solve -1445*q = -115256 - 30689 for q. 101 Solve -4997*q + 322258 + 474206 = 186830 for q. 122 Solve 619414*w + 15990 = 619619*w for w. 78 Solve 195723 = -374*c + 171039 for c. -66 Solve 807*p = 290*p + 41877 for p. 81 Solve 91*r - 480 = -76*r - 96*r + 103*r for r. 3 Solve 449 + 15385 = 280*a + 126*a for a. 39 Solve 0 = 19*r + 1882 - 1540 for r. -18 Solve -927*s + 3832 + 32321 = 0 for s. 39 Solve 11*n + 70*n - 1188 = 81*n - 66*n for n. 18 Solve 29766 - 32928 = -969*s - 1603*s - 116330 for s. -44 Solve 1678*z - 27885 = 27969 + 36436 for z. 55 Solve 317 = 44*w + 37*w + 4*w - 193 for w. 6 Solve -4028 + 116733 = 2247*o - 139279 - 10915 for o. 117 Solve -1471526 + 1475426 = -156*q for q. -25 Solve -311*v - 46*v = 28*v + 2695 for v. -7 Solve -352*k - 2478 - 7633 = 46*k + 2227 for k. -31 Solve 28*w - 906266 = -99*w - 900424 for w. 46 Solve 8794141 - 8795093 = 56*h for h. -17 Solve 55991*r - 311 = 55104*r - 81915 for r. -92 Solve -2390*u - 767*u + 37629 = 413312 for u. -119 Solve -5168*u + 42607 + 217820 = 373*u for u. 47 Solve 8004 = 613979*q - 614048*q for q. -116 Solve 6*r + 16*r = 5842 - 5270 for r. 26 Solve -22*c - 314*c - 139*c + 11400 = 0 for c. 24 Solve -15759*n + 15291*n = -3276 for n. 7 Solve -460 = 28400*l + 28399*l - 56809*l for l. 46 Solve -65793*k + 1276 = -32912*k - 32925*k for k. -29 Solve -66374 = -847*s - 1186*s + 320*s - 227396 for s. -94 Solve -241*c - 9999 + 600 = 0 for c. -39 Solve -11611*r + 4875 + 3207 = -15140 for r. 2 Solve -34*w = -59*w - 323*w + 7796 + 8212 for w. 46 Solve 85 = -2823*p + 2844*p - 146 for p. 11 Solve 1 - 24 - 23 = -11*v + 9 for v. 5 Solve -231*j - 5833 + 1729 = -79*j for j. -27 Solve -99*n = -424*n - 5326 + 14101 for n. 27 Solve 473431*n - 473576*n + 2755 = 0 for n. 19 Solve 107*p + 13558 - 19015 = 0 for p. 51 Solve -480*l + 5293 + 8375 = -389*l + 2930 for l. 118 Solve 2253 = 416*n + 3799 + 6774 for n. -20 Solve -158*i + 683*i - 32956 = -224*i for i. 44 Solve 30306*f = 31535*f - 111839 for f. 91 Solve 441*q + 876*q - 348*q + 11712 = -495*q for q. -8 Solve -7120*q + 7128 = 7128*q - 14116*q for q. 54 Solve -29467*p - 86975 = -26982*p for p. -35 Solve 1901*z + 2453*z - 173*z = 9406 - 147379 for z. -33 Solve -316531229 = 33*q - 316528523 for q. -82 Solve -1166*h = 2124*h + 2226*h + 650888 for h. -118 Solve 526*a = 360 + 166 for a. 1 Solve -7657839 = -16*s - 7659039 for s. -75 Solve 0 = 77*z + 29248 - 30249 for z. 13 Solve -256*v - 822 = -85*v - 10911 for v. 59 Solve 139*x + 16*x + 55*x - 11044 = -41*x for x. 44 Solve 247115*v + 4752 = 247049*v for v. -72 Solve -197*k = -124*k - 132*k + 3953 for k. 67 Solve 46*u = -188*u - 23309 + 4355 for u. -81 Solve 70*m - 6958754 = -6961974 for m. -46 Solve -1220*b = -625*b - 643*b + 148 + 716 for b. 18 Solve -683*g + 4739 = 394 - 3168 for g. 11 Solve 237183*j - 235373*j - 14480 = 0 for j. 8 Solve 0 = 5862*y + 607760 - 185696 for y. -72 Solve 0 = 103*y - 274*y + 7*y + 74*y - 11700 for y. -130 Solve 299*u + 46608 = 30462 for u. -54 Solve -209 - 143 = 11*s - 67*s - 408 for s. -1 Solve 0 = 3673*f - 29268 - 102960 for f. 36 Solve -80500 = 6796*v - 5186*v for v. -50 Solve -1033857 = -104*f - 152*f - 1021825 for f. 47 Solve 2291*w + 44446 = -19611 - 2382 for w. -29 Solve 192131 - 127638 = -1573*h for h. -41 Solve -159*t - 5539 = 394 - 277 - 250 for t. -34 Solve -5351*h = -1109*h + 14481*h + 4388*h - 2542210 for h. 110 Solve -358*v - 525*v - 12504 = 84*v - 37646 for v. 26 Solve -279*r + 788*r + 13234 = 0 for r. -26 Solve 116*z - 2626 - 5032 + 2476 = 3402 for z. 74 Solve -48539*f + 48192*f = -4511 for f. 13 Solve 799*g = -4121*g - 85923 - 327357 for g. -84 Solve -4619*c - 19041 = -15340 + 19772 + 27336 for c. -11 Solve 194283 = -13406*z - 301739 for z. -37 Solve -47*y + 14903 - 12553 = 0 for y. 50 Solve 1760*o + 1496*o + 1195*o - 900*o = 467*o for o. 0 Solve -538*s - 2107*s = 123804 - 31229 for s. -35 Solve 178 - 2600 = -572*r + 6158 for r. 15 Solve -32*t - 94*t + 1009 + 2015 = 0 for t. 24 Solve 29*z - 1483 = -9*z - 263 + 452 for z. 44 Solve -1023*w + 1457*w - 9548 = 0 for w. 22 Solve 9981*s - 3208*s = 196509 + 6681 for s. 30 Solve 253*w + 11349 = 4012 for w. -29 Solve -237*l = 225*l - 24*l + 3066 for l. -7 Solve -144*b + 418*b = 164*b - 440 for b. -4 Solve -1923 = 44*y - 1307 for y. -14 Solve -149*m - 26*m = -18*m + 95*m - 15876 for m. 63 Solve 104*v + 1395 = 82*v - 23*v for v. -31 Solve 1802*r - 3673 = 30124 + 25669 for r. 33 Solve 396*f = 23*f - 10817 for f. -29 Solve 0 = 878*b + 2741 + 8673 for b. -13 Solve -1065*x + 50754 - 30666 = 4568*x - 103838 for x. 22 Solve 0 = 3757*c - 541659 + 203529 for c. 90 Solve -202*j + 152*j - 9595 = 267*j + 10059 for j. -62 Solve 507*a - 8371 - 12646 + 2584 - 1340 = 0 for a. 39 Solve 622*z - 741*z + 0 = -2796*z - 0 for z. 0 Solve 179428*v - 179432*v = -280 for v. 70 Solve -265*k - 771 = 795*k - 12431 for k. 11 Solve 1428*k - 931*k = 8449 for k. 17 Solve 0 = n + 2550 - 2508 for n. -42 Solve -141*f - 1134*f + 115525 = -47*f + 40617 for f. 61 Solve 515*t - 676*t - 1116*t + 96968 = 287*t for t. 62 Solve -2*y - 1495 - 2572 = -69*y - 1387 for y. 40 Solve -1588*s + 1777 = -4167 - 408 for s. 4 Solve 1004 + 5155 + 1842 = -381*o for o. -21 Solve 108845 + 24948 + 2287 = 244*q + 1268*q for q. 90 Solve -22281*x = -22252*x + 464 for x. -16 Solve -8578*p + 857*p - 92652 = 0 for p. -12 Solve 20922*f - 20943*f = -693 for f. 33 Solve 8043*n + 608249 - 214142 = 0 for n. -49 Solve -342 - 712 = -12*i + 65*i + 483 for i. -29 Solve 0 = -292*w - 429*w + 30282 for w. 42 Solve 94*z + 65467 = 64339 for z. -12 Solve 4*y + 553 = -9*y - 5*y - 365 for y. -51 Solve -370*j - 264*j = 13314 for j. -21 Solve -799 = 8*b - 1407 for b. 76 Solve -67149*o + 67183*o + 3570 = 0 for o. -105 Solve -327*z - 43*z = -27945 + 14625 for z. 36 Solve 4711917*d = 4714293*d + 99792 for d. -42 Solve -286*j - 232525 = -213649 for j. -66 Solve 0 = -1777*v + 227*v + 229*v + 43593 for v. 33 Solve 0 = 46*u - 747 + 195 for u. 12 Solve 7464*y - 6015*y = -11387*y - 205376 for y. -16 Solve -168*y - 4958 = -95*y + 56*y + 4717 for y. -75 Solve 762*q + 2147 + 645 = 506 for q. -3 Solve 0 = -218*n - 18121 + 18339 for n. 1 Solve 76250 = 837*g + 3431 for g. 87 Solve -160*v - 12600 = 120*v for v. -45 Solve 15*u + 8*u + 1564 = -0*u for u. -68 Solve 426*f + 614*f - 62238 = -50*f + 147*f for f. 66 Solve 10657*w - 146962 = 662970 for w. 76 Solve 88*s + 11970 = 18834 for s. 78 Solve 594*w - 212*w - 18750 = -626*w - 242*w for w. 15 Solve -731*h + 2431 = -54519 - 5185 for h. 85 Solve -501*u - 236*u = 19899 for u. -27 Solve 7350 = -235*p - 29*p + 19*p for p. -30 Solve 273*x = 2887 - 831 + 1493 for x. 13 Solve 73*f - 86*f - 3701 = 93*f + 1917 for f. -53 Solve 607*c = 693*c for c. 0 Solve -9641 + 2100 = 937*l + 5490 + 6646 for l. -21 Solve -17*d = 62*d + 6636 for d. -84 Solve -662*w + 2851 + 12375 = 0 for w. 23 Solve 297 - 393 = -8*x - 304 - 144 for x. -44 Solve 481*q + 1805*q - 31141 = 647*q for q. 19 Solve 135*x + 405*x - 29090 = 610 for x. 55 Solve -976*q + 103*q - 1609*q + 52122 = 0 for q. 21 Solve -5075 = -2618851*l + 2619026*l for l. -29 Solve -2556*j + 5111*j = 2607*j - 3640 for j. 70 Solve -158*u - 4423 = 7386 - 3277 for u. -54 Solve -3462344*t = -3462184*t + 8480 for t. -53 Solve 111702*p - 111429*p = -13377 for p. -49 Solve 235*m - 25*m - 13*m - 10 = -404 for m. -2 Solve 45*m - 373 + 104 - 514 = 162 for m. 21 Solve -29763*x - 8481*x + 1641276 = 834*x for x. 42 Solve -1516*l = 100024 + 5309
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
-l for l. 2 Solve -7 - 18 = 5*x - 5*b, -5*x = -b + 25 for x. -5 Solve 2*f + 4*p - 20 = -34, 26 = -3*f - p for f. -9 Solve 2*w - 6*m = -18, -38*w + 29 = -34*w + m for w. 6 Solve -15*f - 3*g = -45, -3*f - 122*g + 127*g = -37 for f. 4 Solve 0 = 3*t - 3*a + 2 + 7, 10*a = -52 + 22 for t. -6 Solve 65*j = -4*o + 63*j - 22, -5*o = 4*j + 32 for o. -4 Solve w + 21*k = -45, -6*w + w - 9 = -3*k for w. -3 Solve -20*q - 99 = -m, 14 - 25 = 3*q - 4*m for q. -5 Solve -3*n = -6*s + 30, 30*n - 26*n + 40 = -5*s for n. -10 Solve -3*l + 64 = -5*r + 51, 10*r + 16 = -4*l for r. -2 Solve -2*b = -7*b - 5*o + 30, -5*b + 27 = 4*o for b. 3 Solve -10 = 5*z, 155 = 5*x + 3*z + 116 for x. 9 Solve -3*c - 1048*w = -1047*w - 31, -c + w + 13 = 0 for c. 11 Solve -2*h - 2*a + 2 = 0, 2*a + 4 = -4*h + 16 for h. 5 Solve -10*c = -203*l + 206*l + 176, -5*c = 85 for l. -2 Solve f - 654 = c - 655, 5 = 5*c - 3*f for c. 1 Solve 0 = 55*m - 56*m - 2*o + 1, -4*m + 3*o = -6*m + 2 for m. 1 Solve -46 = 4*o - 4*c - 42, -2*c - 4 = -4*o for o. 3 Solve -3*o = 5*h + 7, -108*o - 4 = -4*h - 112*o for h. -5 Solve 2*h = 3*o + 52, -h + 17 = -16726*o + 16725*o for h. -1 Solve -4461*o + 4465*o - 32 = -4*j, 4*o - 4*j - 24 = 0 for o. 7 Solve 0*b + 64 = -5*l + 8*b, 18*l - 16*l + 32 = 4*b for l. 0 Solve 4*a + i - 8 = 0, -775*i + 16 = 4*a - 772*i for a. 1 Solve 6*v - 3*v = 5*y - 6, 0 = -v - 5*y + 18 for v. 3 Solve -12467*c + 12465*c + 3*q + 6 = 0, -6*c - 4 = 2*q for c. 0 Solve -8*m - 4*b = 84, b = 3*m - 3 + 7 for m. -5 Solve -6*p + 2*p - 20 = 2*x, 3*x - 14 = 5*p for p. -4 Solve -4*y - 4*f + 20 = 0, 8*f - 9*f = -1 for y. 4 Solve 5*j - 529*w - 8 = -526*w, 2*w - 8 = -10*j for j. 1 Solve 4*q + 4*f = 24, -618*q = -623*q - 2*f + 12 for q. 0 Solve 0 = 445*u - 440*u + 2*v - 8, 3*v - 12 = -u for u. 0 Solve 0 = -410*q + 406*q - u - 10, -3*u - 12 = 3*q for q. -2 Solve -4*j - 3*v + 336 = 329, 2*j - 3*v - 17 = 0 for j. 4 Solve -10160*q = -2*n - 10159*q + 7, 3*q + 22 = 5*n for n. -1 Solve 5*l = 5*z + 201834 - 201779, -15 = -3*z - 3*l for z. -3 Solve 0 = -7*v + 3*r + 27, 2*v - 3*r - 142 + 115 = 0 for v. 0 Solve 53*k = 6*l + 57*k - 8, 4*l + 13 = k for l. -2 Solve -4*x = -4, -8*x + 4*x + 1 = -3*r for r. 1 Solve -7*u + 2*k = -41 - 1, 2*u = -4*k + 12 for u. 6 Solve 7*r + 10 = 5*r, -4*r = -2*c + 18 for c. -1 Solve -2*m + 85 - 95 = 5*u, -3*m + 2*u = 15 for m. -5 Solve 74*b = 25*v + 79*b + 130, 46 = -4*v - 5*b for v. -4 Solve -4*g - t - 798 = -804, 5*g = 2*t + 14 for g. 2 Solve -23*j = -20*j - 20*h - 171, 0 = -3*j + 3*h + 18 for j. -3 Solve -5*p - 57 - 3 = -2*c, c = -5*p - 75 for c. -5 Solve 2*s + 18 = -3*b, -2*s - 12*s - 50 = 2*b for s. -3 Solve 22 - 16 = -2*x + 2*m, 3*x - 4*m = -9 for x. -3 Solve 3*j = -23*l + 178, 4*j - 2*l = -32 + 8 for j. -2 Solve g = s + 18*g + 23, 3*g + 27 = -4*s for s. -6 Solve -3*h + 33 = 3*a, 7 = -3*a - 1011*h + 1016*h for a. 6 Solve 5*n = 19*s - 213, -10*n = 5*s - 13*n - 51 for s. 12 Solve q + 2*t + 8 = 0, -5*q - 178*t + 174*t - 16 = 0 for q. 0 Solve -5*n + c - 1 - 5 = -26, 0 = -5*n - 29*c + 170 for n. 5 Solve -5*j + 2*o = 4 - 11, -2*j - 27 = j - 9*o for j. 3 Solve 0 = -5*p + 2*t - 16, 0 = -2*p - 12*t + 32 for p. -2 Solve 4*f + 401*i - 403*i = 12, -5*f - 20 = i for f. -2 Solve 2235*h = -3*f + 2237*h + 13, 0 = f - 38*h - 79 for f. 3 Solve -21*n - 2*v = -26*n + 8*n + 7, -4*n - 16*v = -4 for n. -3 Solve 4*y + 23 = 3*v, 0 = -24*y + 25*y + 5*v for y. -5 Solve 0 = 5*b - a + 21, -5*a = -541*b + 539*b + 10 for b. -5 Solve -2463*w = -2466*w + a - 25, -w + a - 7 = 0 for w. -9 Solve 3*h = -6, 1209*w - 1210*w - 5*h - 15 = 0 for w. -5 Solve 0 = 5*s - 20*t + 185 + 15, 2*s = -3*t - 36 for s. -24 Solve 333*a = 331*a - 4*c + 6, -3*a - c + 4 = 0 for a. 1 Solve 121 = -4*g - 21*z, 0 = -3*g - 4*z + 24 - 56 for g. -4 Solve k - 195394*o + 195399*o - 23 = 0, k - 3*o = -17 for k. -2 Solve 5*n = -3*f + 10, -38*n + 17*n + 110 = -f for n. 5 Solve -5*b - 101 = 2*k, 0 = -2*k + 2*b + 4390 - 4358 for k. -3 Solve -13*i + 11*i + x = 8, 7*i = x - 18 for i. -2 Solve 0 = -4*a - 5*j + 8, 5*a + 851*j - 846*j - 5 = 0 for a. -3 Solve -8 = 4*m + 4*b, -27829*m - 26 = -27826*m - b for m. -7 Solve -348*y = 2*l - 351*y - 16, 8 = l - 0*y + 4*y for l. 8 Solve -d - 7 = 2*o, -8 = -2*o + d - 9 for o. -2 Solve 798*y - 793*y + 2*c - 29 = 0, 1 = y + 2*c for y. 7 Solve 22 = -2*l + 4*a, -8*a = -9*a + 5 for l. -1 Solve -3*z + 14 = -g, -2743*z + 3*g = -2739*z - 17 for z. 5 Solve 4*w + 38 = -w + 3*y, 13 = -2*w - y for w. -7 Solve 125*n + 33 = 5*o + 126*n, 0 = -13*o - 5*n + 93 for o. 6 Solve -2*x + 2*z = -26, -103*z - 9 = 3*x - 102*z for x. 1 Solve -5*y + 798*b + 85 = 793*b, -5*y = 5*b + 65 for y. 2 Solve -125*m - 4*s = -122*m + 27, -3*m - 5*s - 30 = 0 for m. -5 Solve -3 = b, -3*b + 2 - 5 = -4*v + 34 for v. 7 Solve -2*d = 5*y + 11, -8*d + 5 = -2*y - 9*d for y. -1 Solve 0 = -m + 4*p, m - 395*p = -393*p for m. 0 Solve 4*v + 56*u - 88*u = -30*u + 12, -2*v = -2*u - 10 for v. 1 Solve -5 = 3*m - 4127*q + 4128*q, -3 = 5*m + 3*q for m. -3 Solve 0 = 5*z - 2*f + 3, -5*z + 27*f - 28*f + 9 = 0 for z. 1 Solve -i - 205 = -4*x - 186, -x - 8 = 4*i for i. -3 Solve 3*f + 145 = 819*x - 853*x, 0 = -5*x + f - 17 for x. -4 Solve -4*a = 2*f - 10, 3*a + 30*f = 35*f - 25 for a. 0 Solve -28*a = 4*m - 23*a - 28, 0 = -2*m - a + 8 for m. 2 Solve 0 = 5*z + 3*n + 3, 1203*z + 5*n + 5 = 1205*z for z. 0 Solve 4*r - 5*x - 62 = -132, -4*x + 45 = -r for r. -5 Solve 0 = -4*x - 1663*f + 1661*f, 3*x - 14*f + 31 = 0 for x. -1 Solve b - 5*x = 2, 272*b - 6 = 269*b - 3*x for b. 2 Solve 3*g - 5 = 12*p + 28, -g - 12 = p - 3 for g. -5 Solve -6*c + 60 = 2*r, 3*c - 246*r = -251*r + 150 for c. 0 Solve -16*l - 3169 = -5*a - 3070, 5*l - a + 27 = 0 for l. -4 Solve 100 = -3*c - 5*u + 83, -2 = 2*u for c. -4 Solve 3*u + 215 - 188 = 2*w, 3*u + 30 = 3*w for w. 3 Solve 4*l + 7*t + 6 = 11, 3 = 3*l + 5*t for l. -4 Solve 18 = 3*b - 3*u, -3149*b + 3144*b - 33 = 2*u for b. -3 Solve 5*o + 9254*z - 23 = 9250*z, 10*o - 26 = 2*z for o. 3 Solve -n + 20 = -2*n + n + 4*n + w, 0 = -w for n. 5 Solve 5*x + 25 = 46*l - 63*l, l + 15 = -3*x for x. -5 Solve -z + g + 889 = 894, 3*z - 2*g = -13 for z. -3 Solve 2*w = 2*f + 11 - 9, -3*w - 3*f - 15 = 0 for w. -2 Solve 3*l + 9 = -3*x, 3*x - 14*l - 13*l + 9*l = 12 for x. -2 Solve -4*f + 548*i = 550*i - 12, 102*i = -f + 206 for f. 2 Solve z + 2*m + 14 = 0, -4*z + 11 = 3*m + 42 for z. -4 Solve 0 = -3*q - 41*z + 45*z + 10, 2*z + 6 = q for q. -2 Solve 28*n - 4*l - 6 = 27*n, l = -n + 1 for n. 2 Solve -6497*v + 6495*v = -5*f + 16, 0 = -6*f + 2*v + 20 for f. 4 Solve 0 = -s - 5*p + 3, 199 = s + 37*p + 164 for s. -2 Solve -2*m + 32 = -66*g + 67*g, -3*g + 4*m = 44 for g. 4 Solve 476*y - 474*y + f + 4 = 0, 0 = -0*y - 0*y + 4*f - 16 for y. -4 Solve 4*z + 50*y = 48*y + 76, 3*y - 30 = -2*z for z. 21 Solve 21 = b - 5*b + 5, b = 3*o - 10 for o. 2 Solve 4*m - 89 = 5*s - 72, -5*s + 6*m = 23 for s. -1 Solve 6 = -3*t, 8418*t + 11 = -3*g + 8414*t for g. -1 Solve -c = 2*r + 1, -4*r + 644 = -4*c + 640 for r. 0 Solve -3*c + 2 = -2*b, 11*c - 3*b = 7*c + 3 for c. 0 Solve 0 = 3*w - 5*c + 27 - 0, -3*c = -2*w - 17 for w. -4 Solve 0 = 5*i - 5*f - 5, -258 = 5*i - 2*f - 254 for i. -2 Solve 5*m + 42667 = -2*s + 42708, -3*m + 27 = 2*s for m. 7 Solve -3*o + 38 = -9*k - 1, -5*o - k + 49 = 0 for o. 10 Solve 0 = -7*d - 3*i - 28, 21 - 33 = -2*d + 2*i for d. -1 Solve 0 = 10*s - 2*q - 58, 3*s + 179*q + 1 = 175*q for s. 5 Solve 5*r + 120707*v = 120711*v + 19, 5*r + 41 = -6*v for r. -1 Solve -819*r + 4*x = -818*r + 55, 15 = r + x for r. 1 Solve -34 = 6*q - 2*g, -2*g + 33 = 3*q + 35 for q. -4 Solve 281*d + 4*f = 280*d + 6, 5*d = 5*f - 5 - 15 for d. -2 Solve 4*g + 14 = -6*x, -g = -4*x + 36 - 60 for x. -5 Solve -41 = 4*l - 5*v, -5*v - 52 + 77 = 0 for l. -4 Solve 3*y + 30 = -3*p, -79 = p - 76 for y. -7 Solve -2*b = -2*d - 14, -22*b - 3*d + 208 = -20*b + 189 for b. 8 Solve 2*f + 4*l - 15 = 7*l, -2*l = 5*f - 28 for f. 6 Solve 0 = 2*d - 4*j + 22, -3*j + 29 = 19*d - 10*d - 8*d for d. 5 Solve -5*c - 657*h = -661*h + 18, 4*h + 2 = -5*c for c. -2 Solve -29*x = -31*x - 5*p + 65, 2*x - 4*p = -34 for x. 5 Solve 5 - 37 = 4*l + 4*g, -2*l = 10*g + 48 for l. -4 Solve 2*i + 240*v = 243*v + 11, i - 8 = v for i. 13 Solve -2*d = 2*i, -150*i + 144*i + 5 = d for i. 1 Solve 4*a = 3*p + 5, -288*p - 9 = -285*p - 3*a for p. -7 Solve -10489*y - x + 5 = -10491*y, 4*
{ "pile_set_name": "DM Mathematics" }
6*s**4 + 17*s**4). -16*s**5 - 32*s**4 Expand ((-5*z**2 + 4*z**2 - z**2)*(-2*z + 2 - 2) + 2*z**3 + 6*z**3 - 3*z**3 - 3*z**3 + 0*z**3 + 2*z**3)*(1 - 4 + 1 + (-1 + 4 - 4)*(4 - 3 - 2)). -8*z**3 Expand (-2*i + 2*i**3 + 2*i)*((4*i - i - 2*i)*(-2 - 2*i + 2) - 34*i**2 - 4*i**2 - 12*i**2) + 2 + i**3 + i**5 + 3*i**5 - 3*i**5. -103*i**5 + i**3 + 2 Expand -b - 5*b + 4*b + (-2*b + b + 4*b)*(-1 - 3 + 2). -8*b Expand 0*n**3 - 5*n**3 + 4*n**3 + (-4968 + 2116 + 2035)*(-3*n**2 + 3*n**2 + n**3). -818*n**3 Expand -3*o**2 + o**2 - 4*o**2 + (o + 3*o - 3*o)*(-o + 0*o + 3*o) + 2*o**2 + 1 - 1. -2*o**2 Expand (-19*h**3 + 87*h**3 + 41*h**3)*(-1 + 1 - 2*h). -218*h**4 Expand (3 - 5 + 1)*(-2*i**5 + 0*i**5 + i**5) - 2*i**2 + 141 + 0*i**2 - 149 + 4*i**5 - 2*i**4. 5*i**5 - 2*i**4 - 2*i**2 - 8 Expand (16 - 60 + 28 - 25*n**2 + 25)*(3*n**2 + 0*n**2 + n**2). -100*n**4 + 36*n**2 Expand (-1 - 3 + 2)*(4*a + a**2 - 4*a) + (1 + 1 + 0)*(19 - 4*a - 19)*(-14*a + 10*a + 6*a). -18*a**2 Expand ((3 - 1 + 0)*(4*u - 2*u - u) + 0*u + u + 0*u)*(5 + 155*u**2 - 154*u**2 + 0). 3*u**3 + 15*u Expand (4*l**2 - 2*l**2 - l**2)*(-582 - 6*l + 251 + 287). -6*l**3 - 44*l**2 Expand 2*s + 3*s - 2*s + (2 - 3 + 0)*(0*s - s - s) + s - 4 - 2 + 5 + 3*s + 9*s + 27*s + (0*s - 4*s + 5*s)*(3 + 1 - 1). 48*s - 1 Expand 15*d**2 - 5*d**4 - 15*d**2 + 4*d**4 - 3*d**4 - 2*d**4 + (3*d + 0*d + 6*d)*(2 + 2*d**3 - 2) - d**4 - 2*d + 2*d + 2*d**4 + 0*d**4 - d**4. 12*d**4 Expand (-3 + 3 + 3)*(5 - z - 5)*(-2 - 13*z**2 + 13*z + 10*z**2 + 0). 9*z**3 - 39*z**2 + 6*z Expand (-39 + 39 - 18*v)*(-6*v + 0*v + 0*v). 108*v**2 Expand (g**4 + 2*g**4 + 3*g**4)*(-73 - 10 - 2). -510*g**4 Expand (-l + 0*l - 2*l)*(-2*l**4 + 2*l**4 - l**4) - 17*l**5 + 376*l**2 - 376*l**2. -14*l**5 Expand -v**4 + v**4 - v**4 + (-2*v + 3*v + 0*v)*(4*v**3 - 2*v**3 - 4*v**3) + (-2 + 0 + 4)*(0*v**2 + 0*v**2 - v**4) - 21*v**4 + v**4 - 36*v**4. -61*v**4 Expand (-12*f**2 + 12*f**2 + 19*f**3)*((9*f + 0*f - 2*f)*(1 - 3 + 0) + (6 - 4 + 1)*(-4 - 2*f + 4)). -380*f**4 Expand (19*u**2 + 19*u**2 + 17*u**2)*(14 - 3*u - 14)*(2*u + 0 + 0). -330*u**4 Expand 3*h**2 - h**5 - 3*h**2 + (5*h**2 - 5*h**2 - 4*h**5)*(16 - 23 - 85). 367*h**5 Expand 9*v + 3*v - 20*v + 2 - 2 + v + (1 - 2 + 3)*(-3*v + 5*v - 8*v) + 2*v - 2*v - 9*v. -28*v Expand -5*m**5 + 2*m**5 + m**5 + (m**4 - 14*m**2 - 2*m**4 + 40*m**2)*(3*m - 3*m + 3*m). -5*m**5 + 78*m**3 Expand (-8*g + 71*g + 15*g)*(-2*g**3 - 8*g**3 + 8*g**3) + 2*g**4 - 2*g**4 + 2*g**4. -154*g**4 Expand (0 + 1 + 1)*(-2*h**3 + 4 - 4) + h**3 + 4*h - 4*h - 457*h**3 - 216*h + 216*h + (4*h**2 - 2*h**2 - 3*h**2)*(h - h + 2*h). -462*h**3 Expand (o - 3 + 3)*(1326 + 488 - 312). 1502*o Expand (3*p**2 - 11*p**2 + 0*p**2 - 3*p**2 + 4*p**2 + 0*p**2 + (-2*p + 0 + 0)*(1 - 1 + 2*p) - 2*p**2 + 0*p**2 + p**2)*(-3*p**2 - 4*p + 4*p). 36*p**4 Expand (-2*j**3 + 0*j**3 - 5*j**3)*(-204 - 77 + 616 - 137). -1386*j**3 Expand 3*t + 7*t - 6*t + (1 - 3 + 0)*(1 - t - 1) - 4*t + 2*t - 4*t + t - 3 + 3 + (4 - 4 - 1)*(0*t + t - 2*t) + (-3 + 3 - 2*t)*(-1 + 0 + 0). 4*t Expand -b**3 - 2*b**3 + 2*b**3 + (-b**2 + 4*b**2 - b**2)*(-1 + 1 - 2*b) + (-3*b + 24*b - 10*b)*(2*b**2 + 2 - 2) + (0 + 0 + 2)*(16 - 16 - 12*b**3). -7*b**3 Expand 3*t + 4 - 4 + (-28 - 37 - 6)*(t - 5*t + 3*t). 74*t Expand (-4*k + 2*k**2 + 4*k)*(-4*k - 2*k + 4*k)*(308*k**2 + 2106 - 2106). -1232*k**5 Expand (102*r + 71*r + 80*r)*(-4*r**2 + 0*r**2 - 4*r**2). -2024*r**3 Expand -2*h - 3*h + 7*h + 3*h - 2*h + 2*h + (3 - 7 + 2)*(2*h + 2*h - 6*h) + 33*h + 2113 - 2113. 42*h Expand (-50 - 83 - 268*i + 132)*(2*i - i - 3*i). 536*i**2 + 2*i Expand -555*y**2 - 839 + 839 - y**2 + 0*y + 0*y + (-y - 1 + 1)*(-2*y - 4 + 4). -554*y**2 Expand (-29170*n + 29170*n + 150*n**3)*((0 + 2 - 3)*(0 + 0 - 1) + (3 + 1 - 3)*(-1 + 0 + 2)). 300*n**3 Expand (-2*w + 2*w + 3*w)*(1 - 4 + 0 + (1 - 4 + 5)*(-2 + 5 - 6)). -27*w Expand (-2*t + 2*t**3 + 2*t)*(57 - 11*t - 5 + 50*t - 57*t). -36*t**4 + 104*t**3 Expand (5 + 0 - 4)*(-10*a**2 + 33*a**2 + 69*a**2) + (2*a + 0*a + a)*(a - 2*a + 2*a) + 2*a**2 - a**2 - 3*a**2. 93*a**2 Expand (-4*f - f + 3*f)*(-2*f**3 - 847*f - 2*f**3 + 869*f). 8*f**4 - 44*f**2 Expand 25 + 280*z**3 - 11 - 14 + 2*z**3 + z**2 - z**2 + (0*z**2 - 4*z**2 + 5*z**2)*(z + 0*z + 0*z). 283*z**3 Expand 9*n - 6 + 6 + (-4*n + 0*n + 3*n)*(-2 + 2 + 1) + n - 3 + 3 + 2 - 2 - 13*n. -4*n Expand -4*f**3 - 2*f**5 + 4*f**3 + f**4 - f**4 + 2*f**5 + (-2*f**4 - 2*f**2 + 2*f**2)*(-17*f - 35*f + 4*f). 96*f**5 Expand -327*g**3 - 16*g**4 + 327*g**3 + (-2*g + 0*g + g**2 - 4*g**2)*(g**2 + g - g). -19*g**4 - 2*g**3 Expand (-4*z**2 - 3*z**2 + 4*z**2)*(5*z**2 + 5*z**2 - z**2) + 11*z**4 + 0*z**4 - z**4. -17*z**4 Expand 29 - 64 + 27 + 8 + 415*y + (0 + 2 - 3)*(y + 0*y - 4*y). 418*y Expand (1295 - 1295 + 17*l)*(-3 + 3 - 1) + (2*l - 2 + 2)*(1 - 2 + 3). -13*l Expand (2*d**2 - d**2 - 6*d**2)*(0 + 3*d**3 + 0) + 18*d**4 - 19*d**5 - 18*d**4. -34*d**5 Expand -33*m - 3*m**2 - 539 + 539 + (2*m - 1 + 1)*(-m - m + 0*m). -7*m**2 - 33*m Expand (-4*t + 4*t - t)*(t**3 - t**3 - t**4) - 38*t + 4*t**5 + 38*t + 0*t**5 + 0*t**5 - 2*t**5 + 6*t**3 - 6*t**3 - 7*t**5. -4*t**5 Expand (-3*z + z + z)*(19*z - 42*z + 19*z - 13*z**2). 13*z**3 + 4*z**2 Expand (51*f**5 - 138*f**5 - 31*f**5)*(-3 + 3 + 3). -354*f**5 Expand (-60*n + 2662 - 2662)*(-4 + 4 + 5) + 2*n - 6*n + 3*n. -301*n Expand (4 - 3 + 1)*(-5*l**2 + 4*l**2 + 3*l**2) + 3 - 3 + 2*l**2 - 149*l - 3 - 36*l + 39*l + 3*l**2. 9*l**2 - 146*l - 3 Expand (-4*k + 4*k + 7*k)*(5 - 2 - 1 + (-2 + 2 - 1)*(0 + 0 - 2) + (-1 - 5 + 2)*(3 + 2 - 3)). -28*k Expand -525*w**5 + 868*w**5 - 705*w**5 + (-3*w + 6*w - w)*(-17*w + 17*w + 2*w**4). -358*w**5 Expand (1 - 1 + q)*(-330 + 330 - 24*q**2)*(1 + 1 - 4)*(-2 + 2 + 2). 96*q**3 Expand (1 + 1 - 2*o - 2*o)*(33*o**2 - 73*o + 73*o). -132*o**3 + 66*o**2 Expand (6 - 3 - 2)*((1 - 1 + 1)*(4 - 3*w - 4) + 3*w - 4*w + 2*w) + (-w - 1 + 1)*(5 - 1 + 0). -6*w Expand (-2472*b - 2 + 3 + 3609*b)*(-2 + 2 - b)*(4 - 4 + 1). -1137*b**2 - b Expand (30*b + 30*b - 68*b)*(1 + 2 + 3)*(0 - 2 + 1). 48*b Expand -2 - 7 + 28*m**2 + 8 + (-11 - 8 + 11)*(2 + m**2 - 2). 20*m**2 - 1 Expand (-38*n - 29*n + 24*n)*((3 - 3 - n**2)*(2 - 3 - 5) - 2*n**2 - 3*n + 3*n). -172*n**3 Expand (-2*r**2 + 2*r**2 - r**2 + (-r + 0*r + 2*r)*(2*r + 4*r - r))*(-4*r - 2*r + 4*r)*(r + 1 - 1). -8*r**4 Expand (m**3 - m**3 + m**3)*(-2*m + 4*m + 0*m) + (4*m - 4*m - m**3)*(34*m - 21*m + 40*m). -51*m**4 Expand 2*f**2 - 2*f**2 - 2*f**5 - f**2 - 2*f**5 + f**2 + (-2*f**4 + 3 - 3)*(-1 + 2*f + 1) - f**5 + 3*f**5 - f**5 + 672*f - 161*f**5 - 331*f - 341*f. -168*f**5 Expand (2 + 2 - 6)*(1 - 1 + 2*f**4) - 6*f**2 - 3528*f**4 + f**2 + 3535*f**4 - f. 3*f**4 - 5*f**2 - f Expand (-195*f + 354*f + 223*f)*(5*f - f - 2*f)*(f**2 + 4*f**2 - 3*f**2). 1528*f**4 Expand (11*t**4 + 4*t**4 + 12*t**4)*(2 - t - 2) + (-5*t**5 + 0*t**5 - t**5)*(2 + 2 - 5). -21*t**5 Expand (5*u + 0*u - 3*u)*(-12 + 176 + 755). 1838*u Expand (-2 + 0 + 0)*(0 + 0 - h**3) + 5*h**3 - 4*h**3 + 3*h**3 + 21*h**3 - 8*h + 8*h. 27*h**3 Expand (-5*g - 200 - 6*g + 200)*(9*g**4 + 4*g**4 - 2*g**4). -121*g**5 Expand 0*x**3 + 0*x**3 + 2*x**3 + (x + 2 - 2 + (1 + 0 + 0)*(-2*x - x + 4*x) + 3 + x - 3)*(-2*x**2 - 2*x**2 - 2*x**2). -16*x**3 Expand 0*u**4 - u**4 + 0*u**4 + (0*u + 0*u + 2*u**3)*(-2*u + 0*u + 4*u) - u**4 + 0*u**4 + 2*u**4 + 28*u**4 - 36*u - 31*u**4 + 8*u. u**4 - 28*u Expand (1 - 2*i - 1 + (3*i + 0*i - 2*i)*(2 - 3 + 0))*(-111 - 54 + 5). 480*i Expand (0 - 4 + 3)*(0*b + 0*b - 3*b) + (1 + 1 + 0)*(-2*b - 2*b + 0*b) + 0*b + 6*b + 5*b + (3*b - 4*b - b)*(0 + 4 - 2) - b + 0 + 0. b Expand (-2 - 2*b**2 + 0*b**2 - b**2)*(-13*b**2 - 13*b**2 + 30*b**2) + (2*b**4 + 2*b**4 - b**4)*(0 - 3 - 1). -24*b**4 - 8*b**2 Expand 4*t**5 + 4*t**5 - 5*t**5 + (t**2 + t - t)*(-212*t**2 + 165*t**2 - 4*t**3 + 5*t**3). 4*t**5 - 47*t**4 Expand (9 - 2 + 1)*(5 - 4 + 2)*(4 - 10 - 18*m + 19*m). 24*m - 144 Expand (2*a - 3 - 2*a - 20*a)*(a**3 + 2*a**3 - 4*a**3). 20*a**4 + 3*a**3 Expand 1580*f**4 - 3*f**3 - 1579*f**4 - 6*f + 0*f**3 + (f**3 - 4*f**3 + 2*f**3)*(-3*f + f + 0*f). 3*f**4 - 3*f**3 - 6*f Expand (0*t - 5*t + 3*t)*(7 + 1 - 3 + (1 + 1 - 3)*(-2 + 0 + 4)) + (26 - 62 + 16)*(2*t + 1 - 1). -46*t Expand (278*p - 492*p + 0 - 398*p + 0)*(2 - p - 2). 612*p**2 Expand (-2*b + 2 - 2)*(5*b**2 + b**2 - b**2) + 3 + 9*b**3 - 13*b**3 + 12*b**3. -2*b**3 + 3 Expand (-31*b - 2*b**3 + 1012*b - 17*b**2 + 16*b**2)*(2 -
{ "pile_set_name": "DM Mathematics" }
st common factor of 1282771 and 937321? 2303 Calculate the highest common factor of 12375 and 354717. 99 Calculate the highest common factor of 377911218 and 876. 438 Calculate the greatest common divisor of 108 and 22023564. 12 What is the highest common divisor of 530720997 and 15852? 3963 What is the greatest common divisor of 11339341 and 572? 13 What is the highest common factor of 73868690 and 140? 70 What is the highest common factor of 43455555 and 15444? 3861 What is the highest common factor of 9263 and 12703? 1 What is the highest common factor of 36271 and 3781? 19 What is the highest common factor of 7466004 and 116298? 1638 Calculate the highest common factor of 1792 and 919618. 14 Calculate the greatest common divisor of 84506 and 20382302. 2726 Calculate the greatest common factor of 3402602 and 4397792. 9478 Calculate the highest common divisor of 70266844 and 20478. 6826 What is the greatest common factor of 54 and 12640302? 18 What is the greatest common factor of 14780 and 4341040? 20 Calculate the highest common factor of 16384532 and 598018. 5806 Calculate the greatest common factor of 9672 and 95521881. 1209 What is the highest common factor of 144 and 22497088? 16 Calculate the greatest common divisor of 315 and 19121130. 315 What is the highest common divisor of 160394 and 171678? 806 Calculate the highest common divisor of 95139 and 411962441. 10571 Calculate the highest common divisor of 11609455 and 5. 5 What is the highest common factor of 5864 and 54058017? 733 What is the highest common factor of 2211 and 1017334164? 2211 What is the highest common divisor of 218505 and 33285? 105 Calculate the greatest common divisor of 2415 and 351555. 345 Calculate the highest common factor of 16151667 and 223. 223 Calculate the greatest common factor of 301 and 1571951. 43 Calculate the greatest common factor of 6732491 and 46. 23 Calculate the greatest common factor of 1830 and 205716095. 305 Calculate the greatest common divisor of 32 and 104243940. 4 What is the highest common divisor of 38 and 51721363? 19 Calculate the highest common factor of 1094 and 193330. 2 Calculate the highest common factor of 6971744 and 416. 416 Calculate the greatest common divisor of 6842 and 120626. 22 What is the greatest common factor of 13 and 27624246? 13 What is the highest common factor of 8 and 84373960? 8 Calculate the highest common factor of 127089 and 2331011. 523 Calculate the highest common factor of 99760 and 1514960. 2320 Calculate the greatest common factor of 2028830 and 1610. 230 Calculate the greatest common factor of 176 and 20239758. 22 What is the greatest common factor of 216 and 2274? 6 What is the greatest common divisor of 1197625 and 13? 13 What is the greatest common factor of 5330 and 1566370? 130 What is the highest common factor of 3456 and 59076? 108 Calculate the greatest common divisor of 152490091 and 377. 377 Calculate the highest common divisor of 15 and 13485780. 15 Calculate the highest common divisor of 350653 and 2725. 109 Calculate the greatest common factor of 1010 and 74662735. 505 Calculate the highest common factor of 90564817 and 2114. 1057 What is the highest common divisor of 2968246 and 332? 166 Calculate the greatest common divisor of 192 and 45734016. 192 What is the highest common factor of 155480 and 216655400? 11960 What is the highest common divisor of 320 and 116806370? 10 Calculate the greatest common divisor of 28 and 360614142. 14 Calculate the greatest common factor of 7180 and 2258828. 1436 What is the highest common divisor of 3589844 and 100? 4 Calculate the greatest common factor of 315 and 6259239. 63 Calculate the greatest common factor of 50224 and 1112066. 86 Calculate the highest common divisor of 34863591 and 70. 7 Calculate the highest common factor of 7597985 and 145. 5 What is the highest common divisor of 188 and 52156652? 188 Calculate the greatest common factor of 5375 and 23815. 5 What is the greatest common divisor of 403825 and 377? 29 What is the greatest common factor of 1 and 3019577? 1 Calculate the greatest common divisor of 6237 and 144199. 11 Calculate the highest common divisor of 1166963 and 7238. 329 Calculate the highest common divisor of 926044 and 6496. 28 Calculate the greatest common divisor of 889295 and 1285. 5 What is the highest common factor of 2653254 and 2676? 1338 Calculate the greatest common divisor of 98297667 and 234. 117 What is the highest common divisor of 52392 and 81474? 222 What is the highest common divisor of 54 and 27558? 18 Calculate the highest common divisor of 1771875 and 16100. 175 What is the greatest common factor of 18047526 and 966? 42 Calculate the greatest common factor of 30258969 and 117. 39 What is the greatest common divisor of 21116231 and 1883? 269 What is the highest common factor of 44 and 839817220? 44 Calculate the highest common divisor of 122318391 and 247. 13 What is the highest common factor of 14550 and 577753825? 2425 Calculate the greatest common factor of 3282 and 18816. 6 Calculate the highest common divisor of 3 and 49528617. 3 Calculate the highest common divisor of 7642155 and 2085. 15 What is the highest common factor of 708 and 703016388? 708 What is the greatest common divisor of 2474760 and 740460? 2460 What is the highest common divisor of 7215 and 214435? 65 What is the highest common divisor of 5310 and 30650? 10 What is the greatest common divisor of 4508 and 1036193102? 2254 Calculate the greatest common divisor of 670506 and 7266. 6 Calculate the highest common divisor of 2579505 and 19305. 15 What is the greatest common factor of 146560 and 124805? 1145 What is the greatest common divisor of 717 and 5795989? 239 What is the greatest common divisor of 785 and 201883945? 785 Calculate the highest common factor of 2296 and 1046689. 287 What is the highest common divisor of 163 and 30582712? 163 What is the greatest common factor of 4636 and 90592? 76 Calculate the greatest common factor of 113577 and 67989. 393 What is the greatest common factor of 131144 and 129454? 338 Calculate the highest common factor of 502560879 and 354. 177 What is the highest common divisor of 2090 and 21172525? 55 What is the highest common factor of 6976 and 21872376? 872 What is the highest common divisor of 1254974376 and 3048? 3048 What is the highest common divisor of 29070051 and 357? 51 What is the greatest common divisor of 415875901 and 2833? 2833 What is the greatest common factor of 190 and 234826985? 95 Calculate the highest common factor of 2433 and 36237102. 2433 What is the highest common factor of 66 and 865818338? 22 Calculate the highest common factor of 135989295 and 78. 39 Calculate the greatest common factor of 848 and 175478548. 212 What is the highest common divisor of 140 and 4714080? 140 Calculate the highest common divisor of 1968 and 67008924. 492 What is the highest common factor of 8520714 and 369? 9 What is the highest common factor of 13100082 and 912? 114 Calculate the highest common divisor of 22278 and 1422. 474 What is the highest common divisor of 70977031 and 157? 157 What is the highest common factor of 5268 and 6976149? 1317 What is the greatest common divisor of 2257085 and 44300? 2215 What is the greatest common divisor of 206304838 and 194? 194 Calculate the highest common divisor of 71253889 and 44149. 2597 Calculate the highest common divisor of 292 and 85068652. 292 Calculate the greatest common divisor of 932851 and 36811. 131 Calculate the greatest common divisor of 83387097 and 876. 219 Calculate the highest common factor of 78281383 and 8564. 2141 Calculate the highest common divisor of 285308647 and 26. 13 What is the greatest common factor of 171 and 2840329? 19 Calculate the highest common divisor of 16544592 and 3952. 304 What is the greatest common factor of 7459642 and 9909? 367 Calculate the highest common divisor of 1330032 and 9196. 484 Calculate the greatest common factor of 81446 and 1017882. 386 Calculate the greatest common divisor of 962 and 7366554. 26 Calculate the greatest common factor of 58200 and 740. 20 Calculate the greatest common factor of 4629267 and 1462299. 8079 What is the highest common factor of 205620 and 23460? 1380 Calculate t
{ "pile_set_name": "DM Mathematics" }
/315 - s**6/180 - 7*s**5/15 - 3*s**2 - 1183. Factor q(d). 2*d**2*(d - 7)*(d + 6)/3 Determine k, given that -22*k**2 + 42*k**2 - 12*k**3 - 156 + 18*k**3 - 62*k = 0. -13/3, -2, 3 Factor 0 + 0*f + 4/5*f**4 - 264/5*f**2 + 4*f**3. 4*f**2*(f - 6)*(f + 11)/5 Let b(u) be the first derivative of -u**4/9 - 56*u**3/27 + 14*u**2/3 + 40*u + 1151. Suppose b(r) = 0. Calculate r. -15, -2, 3 Find v, given that -772/9*v**2 - 1528/9*v + 0 - 4/9*v**3 = 0. -191, -2, 0 Let s = -1099295/337 - -3262. Let y = s + 2703/2359. Factor -4/7 + 0*i**2 - 8/7*i + 4/7*i**4 + y*i**3. 4*(i - 1)*(i + 1)**3/7 Let v(w) be the third derivative of -1 - 1/30*w**5 + 25/6*w**4 - 63*w**2 + 0*w + 17*w**3. What is g in v(g) = 0? -1, 51 Suppose 0 = -2*l, -b + 2*l + 160 = b. Suppose 0 = -z + 6*z - b. Solve -g + g**4 - 6*g**3 - 3*g**2 - 11*g + z*g**2 + 4 = 0. 1, 2 Let w = -14 - -16. Suppose -w*l - 207 = -3*y - 38, 172 = 3*y + l. Determine u, given that -27*u**2 + y*u**2 - 21*u**2 + 3*u**3 - 12 = 0. -2, 1 Suppose 0 = 2*f + 3*u + 115 - 37, -f = -5*u + 65. Let i be (-5)/((-50)/f)*(-2)/4. Determine w so that 0 + 3/4*w**4 + 0*w**2 - i*w**3 + 3*w = 0. -1, 0, 2 Let l = -8625 + 345003/40. Let g(d) be the second derivative of -16*d - l*d**5 + 0 - 1/2*d**3 + 0*d**2 - 3/8*d**4. Find v such that g(v) = 0. -2, -1, 0 Suppose -4*h + 307 = -0*h - s, h - 4*s = 88. Let k = h + -26. Let k*u**2 + 194*u**3 + 125*u - 91*u**3 - 98*u**3 = 0. Calculate u. -5, 0 Let x(t) be the first derivative of 1/8*t**2 + 1/6*t**3 - 33 - 1/2*t - 1/16*t**4. Determine b so that x(b) = 0. -1, 1, 2 Let o(i) be the second derivative of 13*i**4/6 - 28*i**3/3 - 30*i**2 + 23*i. Let v(z) = 9*z**2 - 19*z - 20. Let k(n) = 4*o(n) - 11*v(n). Solve k(c) = 0. -1, 4 Let n = 11780/3 + -3905. Let o(j) be the first derivative of -20*j + 15/2*j**4 - 1 + 30*j**2 - j**5 - n*j**3. Let o(y) = 0. What is y? 1, 2 Let y be 3*(12/(-6) - -1) + 17 + -11 + 1. Factor 0*m - 2/5*m**y + 0 - 6*m**2 + 16/5*m**3. -2*m**2*(m - 5)*(m - 3)/5 Let l be (5 + -5 - -1)/((-3)/33). Let h be 77/l - (-5 + -4). Determine p so that 3*p - 9/2 - 1/2*p**h = 0. 3 Let l(a) be the second derivative of -11/5*a**5 + 0*a**2 + 0 + 4*a**4 - 61*a - 8/5*a**6 + 2/3*a**7 + 8/3*a**3. Find o, given that l(o) = 0. -1, -2/7, 0, 1, 2 Let g(s) = -9*s**2 - 5*s**3 - 6*s**3 + 1 + 10*s**2 + 12*s**3. Let n(t) = 6*t**3 + 23*t**2 + 5. Let d(p) = 5*g(p) - n(p). Factor d(w). -w**2*(w + 18) Suppose -5*y - f = 1, -4*y + 15 = -7*y + 3*f. Let g be (-12)/27 + ((-7)/(-63) - y). Find n such that 0 - 2/3*n**3 + 0*n**2 + 0*n + g*n**4 = 0. 0, 1 Let v(o) be the third derivative of o**5/80 + 119*o**4/8 + 14161*o**3/2 + 267*o**2. Factor v(j). 3*(j + 238)**2/4 Let q(f) = 77*f - 283. Let w be q(5). Factor 691*u**2 - 345*u**2 - 349*u**2 - w*u - 867. -3*(u + 17)**2 Let 87*u**3 - 8*u**2 + 2*u**4 - 34*u**3 - 128*u + 16 - 21*u**3 - 16 = 0. Calculate u. -16, -2, 0, 2 Suppose -58/3*i**2 + 2/9*i**3 - 176/9*i + 0 = 0. Calculate i. -1, 0, 88 Let q be -7 - (25/(18375/546))/((-2)/20). Factor 0 + 48/7*w - q*w**3 + 45/7*w**2. -3*w*(w - 16)*(w + 1)/7 Let x(q) = 6*q**2 - 295*q + 292. Let d be x(1). Find t such that -d*t**3 - 9/2*t**2 - 3*t - 3/4 - 3/4*t**4 = 0. -1 Let u = -539656/21 + 25698. Let y(s) be the first derivative of 0*s - 4/7*s**2 + u*s**3 + 36. Solve y(h) = 0 for h. 0, 4 Let i = 140984 + -1836103/13. Let j = i + 255. Factor 2/13*m**3 + 2/13*m**2 + 0 - j*m. 2*m*(m - 1)*(m + 2)/13 Let j(v) be the third derivative of -243/10*v**5 - 729/2*v**4 - 9/10*v**6 + 0 - 5*v**2 - v - 6561/2*v**3 - 1/70*v**7. Factor j(a). -3*(a + 9)**4 Let r(a) be the second derivative of -a**5/25 + 96*a**4/5 + 466*a**3/3 + 1752*a**2/5 + 13887*a. Factor r(u). -4*(u - 292)*(u + 1)*(u + 3)/5 Let l be (-9)/(-24) - 468/(-288). Let f(v) = 2*v**2 - 77*v + 323. Let p = 4 + -7. Let a(d) = 3*d**2 - 78*d + 322. Let g(y) = l*f(y) + p*a(y). Factor g(i). -5*(i - 8)**2 Let r(c) = 5*c**4 + 301*c**3 + 290*c**2 - 3*c - 3. Let v(f) = -f**4 - 3*f**3 + f + 1. Let g(o) = -r(o) - 3*v(o). Factor g(b). -2*b**2*(b + 1)*(b + 145) Let r(l) = l**2 + 15*l - 75. Let d be r(-19). Let t(c) = 3*c**3 - 5*c**2 - c + 5. Let b be t(d). Find a, given that -1/4 - 1/8*a**b - 3/8*a = 0. -2, -1 Let p(z) = 2*z + 20. Let b be p(-9). Let w be (-125)/(-20) + b/(-8). Factor -8*u - 4*u**2 - 4 + w*u - 6*u. -4*(u + 1)**2 Determine p so that -261189*p + 261156*p - 311 + p**2 + 31 = 0. -7, 40 Let i = 326 - 329. Let s be -12*(-9)/(-36)*i/3. Factor 0 - j + 0*j**2 + 1/4*j**s. j*(j - 2)*(j + 2)/4 Suppose -3*l + 4*y = 27, -538*l - 3*y + 21 = -540*l. Let 12/7 - 22/7*m + 12/7*m**2 - 2/7*m**l = 0. What is m? 1, 2, 3 Suppose -5*v + 4*j + 15 = 0, v - 3*v - 2*j + 6 = 0. Let p(u) be the first derivative of 16/15*u**v - 3 + 2/25*u**5 + 1/2*u**4 + 4/5*u**2 + 0*u. Factor p(h). 2*h*(h + 1)*(h + 2)**2/5 Let w(y) be the second derivative of y**6/15 - 5*y**5/2 - 44*y**4/3 + 112*y**3/3 + 1220*y. Factor w(z). 2*z*(z - 28)*(z - 1)*(z + 4) Let n(q) = -4*q**4 + 6*q**3 + 123*q**2 + 10. Let a(u) = 6*u**4 - 10*u**3 - 185*u**2 - 14. Let d(i) = -5*a(i) - 7*n(i). Find r, given that d(r) = 0. -4, 0, 8 Let n = 515 - -197. Let h = -3556/5 + n. Find a, given that h*a + 4/5*a**2 - 8/5 = 0. -2, 1 Let f(h) = -2*h**2 + 24*h - 26. Let i be f(9). Suppose 0 = 24*d - i*d + 20. Factor 0 + 0*c**3 - 8/3*c**4 + 8/3*c**2 + 4/3*c - 4/3*c**d. -4*c*(c - 1)*(c + 1)**3/3 Let t(s) = -2*s + 36. Let u be t(15). Let d = -94 + 97. Factor 3*p**2 + 0*p**2 - u + 2 - 2 - d*p. 3*(p - 2)*(p + 1) Let t(u) be the first derivative of u**6/2 - 234*u**5/5 - 237*u**4/4 - 2099. Determine w so that t(w) = 0. -1, 0, 79 Let z(t) be the first derivative of -2*t**5/135 + 7*t**4/9 - 49*t**3/3 - 6*t**2 - t - 306. Let l(j) be the second derivative of z(j). What is p in l(p) = 0? 21/2 Let n(o) be the first derivative of 17*o**7/3360 - o**6/360 - 103*o**3/3 + o**2 + 86. Let z(y) be the third derivative of n(y). Factor z(q). q**2*(17*q - 4)/4 Let q(y) be the third derivative of -3*y - 1/2*y**4 + y**3 - 1/30*y**5 + 6*y**2 + 0. Let u(j) = -j**2 - 11*j + 6. Let r(l) = -5*q(l) + 4*u(l). Factor r(a). 2*(a + 3)*(3*a - 1) Let h(i) be the third derivative of -2*i**7/105 - 4*i**6/15 + 3*i**5/5 + 13*i**2 + 1. Factor h(n). -4*n**2*(n - 1)*(n + 9) Let w(c) be the third derivative of c**5/300 - c**4/10 - 3*c**3/2 - 1169*c**2. Factor w(n). (n - 15)*(n + 3)/5 Factor 1/3*a**4 - 83/3*a**2 - 98/3 + 63*a - 3*a**3. (a - 14)*(a - 1)**2*(a + 7)/3 Let d(k) be the second derivative of -k**6/10 - 87*k**5/20 + 31*k**4/2 - 1522*k - 1. Solve d(t) = 0. -31, 0, 2 Let t be ((-14)/(-12))/((-1351)/(-579)). Let m(g) be the first derivative of -4/5*g**5 + 14 + 0*g**3 + 0*g**2 + t*g**4 + 1/3*g**6 + 0*g. Factor m(l). 2*l**3*(l - 1)**2 Let s(h) be the second derivative of -135*h - 20*h**2 - 121/2*h**6 + 45/2*h**4 + 1 + 715/4*h**5 - 50*h**3. Find g such that s(g) = 0. -2/11, 1/3, 2 Solve -2/3*y**2 - 604/3*y - 45602/3 = 0. -151 Let n(l) = -13*l**3 - 77*l**2 - 213*l + 27. Let v(a) = -12*a**3 - 76*a**2 - 216*a + 24. Let z(k) = -8*n(k) + 9*v(k). Factor z(f). -4*f*(f + 5)*(f + 12) Let m(f) be the third derivative of 2*f**2 - 1/105*f**7 + 0*f - 7/60*f**6 + 1 - 2/5*f**5 + 0*f**4 + 0*f**3. Determine b, given that m(b) = 0. -4, -3, 0 Let k(g) = 10*g**2 + 17*g - 45. Let i(l) = -13*l**2 - 19*l + 46. Let q(a) = -3*i(a) - 4*k(a). Factor q(b). -(b - 3)*(b + 14) Suppose 7*t = 8*t - 201. Let a = t + -197. Factor 4/3*y**4 - a*y**2 + 0*y**3 - 8/3*y + 0. 4*y*(y - 2)*(y + 1)**2/3 Suppose 45 = 2*s - 5*p, -2*s - 2*p + 0*p = -24. Suppose 0 = 8*w + s - 31. Solve 4/3 + 5/3*l + 1/3*l**w = 0. -4, -1 Suppose -m = -5, -3 = -5*q + 5*m - 13. Find s such that 227*s + 384*s**2 - 489*s - 71*s**3 - 15*s**3 + 4*s**4 - 250*s + 14*s**q = 0. 0, 2, 8 Factor -2/3*n**3 + 1108/3*n**2 + 0 - 736*n. -2*n*(n - 552)*(n - 2)/3 Let w be 750/500 + 2/1 + -3. Let t(o) be the first derivative of -2/9*o**3 + 1/30*o**5 + 1/12*o**4 - 45 + w*o - 1/6*o**2. Suppose t(p) = 0. Calculate p. -3, -1, 1 What is c in -225/4*c**2 - 700 + 5/4*c**3 + 915/2*c = 0? 2, 8, 35 Let r(i) be the first derivative of -i**4/2 - 284*i**3/3 - 679*i**2 + 1644*i - 5135. Factor r(g). -2*(g - 1)*(g + 6)*(g + 137) Suppose -l**3 - 31/4*l**2 + 0 - 27/4*l = 0. Calculate l. -27/4, -1, 0 Let d = -129 - -149. Let c be (-4)/d + (-4164)/(-20). Factor 630*u**3 + c*u + 1683*u**4 + 772*u**2 - 1539*u**4 + 16 - 6*u**3. 4*(u +
{ "pile_set_name": "DM Mathematics" }
for w. -4 Suppose 7*i + 39 - 46 = 0. Solve 4*s - 13 + i = 0 for s. 3 Let s be ((-120)/18)/((-1)/3). Solve -s = k - 15 for k. -5 Suppose -5*m + 5*a + 6 + 4 = 0, -4*m + 6 = -5*a. Suppose -m*d = 2*f + 140, -5*d - 42 = -4*d + 4*f. Let x = 36 + d. Solve 0*n + x = n for n. 2 Suppose 9 = -3*n + 15. Suppose -6 = -2*s - 2*g, -s + 5*g - 13 - 2 = 0. Suppose -m - 3*m = s. Solve n*c + 3*c = m for c. 0 Suppose -l = 4*l - 15. Suppose 634*u = 635*u - 2. Solve -u*z - 5 = l for z. -4 Suppose 12*p + 18 = 15*p. Solve -y = -p*y + 15 for y. 3 Let a be (-70)/21*2/(12/(-9)). Solve 22 - 7 = -a*n for n. -3 Let w(u) = -u**3 + 5*u**2 + 4*u + 12. Let p be w(6). Let n be (1 - (-11)/1)/1. Solve p*f + n = -3*f for f. -4 Let l(h) be the second derivative of h**3/2 + 6*h**2 - 25*h. Let k be l(-4). Solve k + 4 = -2*b for b. -2 Let m be 3*(-1)/3*2 + 10. Solve n + m = 10 for n. 2 Let z = 779 + -709. Solve -9*n + z = 5*n for n. 5 Let s(t) = t**3 - 7*t**2 - t + 10. Let v be s(7). Solve -1 = -4*f + v for f. 1 Let g = 12 + -7. Let v = 47 + -27. Suppose a + 4*a + u - 12 = 0, g*a + 5*u - v = 0. Solve 5*d - a*d = -12 for d. -4 Let f = -17 + 19. Let x(u) = -20*u - 10 + 9*u - u**2 + f. Let g be x(-10). Solve w + g = 1 for w. -1 Suppose 0 = -13*g + 6*g. Let i be (256/8)/(-8) - (-5 + g). Solve 0 = x - 0*x + i for x. -1 Let t(y) = 19 - 3*y - 2 + 5*y - 3*y. Let x be t(15). Let h be x + (-8)/4 - -2. Solve 4 = -g + h for g. -2 Let i(l) be the first derivative of 0*l**2 + 7/3*l**3 + 1/4*l**4 + 0*l - 7. Let y be i(-7). Solve 3*x - x - 8 = y for x. 4 Let o(f) = -2*f - 4. Let k be o(-5). Let z be 16/(-6) + (-1)/3. Let c = k + z. Solve -c*a + a - 4 = 0 for a. -2 Let j be -6 + (19 - 56/7). Suppose 0 = -2*s + 3*s - 8. Solve -j*x + s = -3*x for x. 4 Suppose -249 = 11*s - 106*s + 226. Let q be (-6)/15*(0 - 5). Solve 0 = s*j - q*j + 15 for j. -5 Suppose 17*v - 1245 = 64. Solve 3*y + 80 = v for y. -1 Suppose 9*k = 17*k - 32. Solve -3*b + 2 = -k for b. 2 Let a(k) = k**3 + 13*k**2 + 19*k + 93. Let g be a(-12). Solve 0 = -u - 7 + g for u. 2 Let g(p) = -p**2 + 25*p - 120. Let s be g(14). Solve -6 = 10*o + s for o. -4 Suppose -18 = -3*d - 0*z - 5*z, 0 = 3*z. Suppose 5*s - d*s = -4. Solve -l - s - 1 = 0 for l. -5 Suppose 6*w = 24*w - 72. Solve 0*c - w = c for c. -4 Let q be 22/(-88) + 10/8. Solve q - 3 = 2*a for a. -1 Suppose -2*q + 4*c = -q - 14, 5*c + 25 = 5*q. Let g be q - (-4 + (-3 - -2)). Let i(z) = z**3 + 5*z**2. Let w be i(-5). Solve w = g*y - 3*y for y. 0 Let x be 4/18 - 2420/(-45). Let m = 89 - x. Suppose 6*z - z = m. Solve -4*f + z = -5 for f. 3 Let a = 0 + 3. Let u(i) = -2*i**2 + 14*i + 63. Let g be u(10). Solve 4*v - g = a*v for v. 3 Suppose 5*h = -i - 20, -6*h + 3*h = 5*i - 10. Suppose 0 = -2*g + i*g - 9. Solve 0 = 4*m - g*m for m. 0 Let i(n) = -11*n - 47. Let g be i(-5). Solve -9*d - g = -5*d for d. -2 Suppose 2*k - k = r + 66, 5*k + 237 = -4*r. Let y = r - -40. Let w = y + 38. Solve 4*o - w = -o for o. 3 Let t(o) = -26 - 4*o**2 - 2*o + 5*o**2 + 28. Let a be t(0). Solve a*j - 3 - 7 = 0 for j. 5 Let n = -247 + 251. Solve -36 = n*d - 24 for d. -3 Suppose 21 - 7 = 2*m. Suppose 5 = -2*g + m*g. Solve 5*f - g = 14 for f. 3 Let p(s) = 2*s**2 - 9*s + 7. Let c be p(5). Suppose 0 = -8*i + c*i - 48. Solve g - i = -3*g for g. 3 Let o be (32/14)/((-84)/(-147)). Let j be 4/(-6) + 17/3. Solve -j*u - 9 = -o for u. -1 Let o(c) = -6*c - 11. Let h(l) = 2*l + 4. Let m(q) = 8*h(q) + 3*o(q). Let p be m(-1). Let b be (28 + p + 1)/2. Solve 6*n + b = 3*n for n. -5 Suppose -5*x - 25 = -35. Suppose -5*i + i = -8. Solve i*w + x = w for w. -2 Let r be 20/6*((-36)/15)/(-2). Suppose -4*z + t = -16, -2*z = -z + 4*t - r. Solve z*j - 8 = -0*j for j. 2 Suppose 0 = 11*a - 104 - 127. Let t = 21 - a. Solve t = 5*h - 8*h - 12 for h. -4 Suppose 27*d = 29*d - 4. Suppose -3*p = -6*k + 5*k - 8, -3*k = d*p - 20. Solve -k*r + 10 = r for r. 2 Let d(b) = b**2 + 11*b + 7. Let n be d(-11). Suppose 2*x + 4*f = 8 + 18, 3*x = 5*f - 16. Solve -x*i - 20 = -n*i for i. 5 Suppose 2*x + 3*x = -55. Let i = 15 + x. Let n be (-7)/(-28) + 95/i. Solve -4*h + n = 4 for h. 5 Suppose 3*i = -i + 12. Let q(w) = w**3 + 5*w**2 - 5*w + 6. Let c be q(-6). Solve -f - i*f - 20 = c for f. -5 Let o(s) = -s**3 + 5*s**2 - 5*s + 4. Let d be ((-2)/1)/(2/(-16)). Suppose -t = -5*t + d. Let r be o(t). Solve r = 3*i + 13 + 2 for i. -5 Let k(t) = t. Let c(v) = -4*v + 4. Let j(g) = c(g) + 5*k(g). Let m be (-2)/(-1) - 4*1. Let a be j(m). Solve -6 = -0*i - a*i for i. 3 Let k(l) = -2*l - 11. Let r be k(-8). Suppose r*f - 116 = -96. Solve 0*i - f*i - 12 = 0 for i. -3 Let n = -11 + 17. Solve -z = -3 + n for z. -3 Let w be 1 + (-3)/2 + 595/70. Solve -w + 4 = -2*t for t. 2 Let s(k) = -k**3 - 16*k**2 - 43*k + 60. Let g be s(-12). Solve f - 14*f - 6*f = g for f. 0 Suppose 7 = -2*a + 3*a. Let n(s) = -s + 11. Let h be n(a). Solve 5*i + 1 = -h for i. -1 Suppose -104*k - 108*k = -226*k + 56. Suppose -3*y + 2*y = -5*l + 25, 3*y = -4*l + 1. Solve l*g = -0*g + k for g. 1 Suppose 7*x = 10 + 11. Let c(f) = -f + 6. Let h be c(4). Solve -h*a = x*a for a. 0 Suppose -14*p + 9 = -11*p. Suppose 3*j - 2*k = 25, 3*j + 4*k - 41 = 2*k. Suppose -z + 1 = -j. Solve -b = p*b - z for b. 3 Let n = -25 + 41. Solve -20 - 12 = n*z for z. -2 Let g(r) be the first derivative of 2*r**3/3 - 3*r**2 - 8*r - 35. Let a be g(4). Solve a*m - 5*m + 10 = 0 for m. 2 Let u(z) = -z**2 + z + 106. Let b be u(10). Solve b*p = 2*p + 14 for p. 1 Suppose 22 = 6*s - 7*s. Let x = -17 - s. Solve 2 - x = n for n. -3 Let p = 11 + -6. Suppose -p*b + 12 = -2*t, -t + 0*t = 3*b - 16. Let g = 97 - 91. Solve -g = -t*a + 2 for a. 2 Let r = -11 + -3. Let d be r/70 - (-21)/5. Solve d*s = -s + 5 for s. 1 Let g = -298 - -315. Solve -15 = -2*y - g for y. -1 Suppose 4*y + 1 = 5*p + 6, 0 = 5*p - 2*y + 5. Let w be (8 - (5 + p)) + -2. Solve -v = -w*v - 1 for v. -1 Suppose -4*k - 30 = -3*g - 24, -4*k + 42 = 5*g. Solve -g*a + 36 = 3*a for a. 4 Let y be 6 + -2 + 8/4. Suppose 0*r = y*r - 36. Suppose 0 = z - r*z. Solve -2*q + q + 1 = z for q. 1 Let h(m) = -m**2 + 17*m - 53. Let a be h(11). Solve -18*g = -a*g - 15 for g. 3 Suppose -3*j = 5*v - 10, v = -5*j - 4*v + 10. Solve -4*l - 4 - 4 = j for l. -2 Let c be ((-50)/15)/((-4)/6). Let s(y) = -y**2 + 6*y - 5. Let u be s(c). Suppose -4*d + d = u. Solve d*i = 3*i for i. 0 Let q = 179 + -179. Solve -8 + q = 2*t for t. -4 Let d be 1*3*(-11 + 12). Suppose 41*b = 45*b + 24. Let j be (-84)/(-18) + (-2)/b. Solve d + 12 = -j*c for c. -3 Suppose -22*y + 411 = -95. Solve -16*a = -y*a - 7 for a. -1 Suppose 199 - 71 = 2*h + k, -h + 2*k + 64 = 0. Suppose -2*r - h = -3*v, -v + 1 = 2*r - 7. Solve -5*s + 2 + v = 0 for s. 4 Let l(u) = u**3 - 7*u**2 + 5*u + 11. Let p be l(6). Suppose 5*a + 4*r - 50 = -r, -4*r = -5*a + p. Suppose i - a = -3. Solve -i*m = 2*m for m. 0 Let p be ((-21)/(-2))/((-3)/(-6)). Let r = p + -19. Suppose -8 + r = -3*l. Solve -5*k - l + 27 = 0 for k. 5 Suppose -77 = -35*q + 63. Let s(j) = j**2 - j - 2. Let r be s(3). Suppose 2 + 78 = r*x. Solve -q*b = -0*b - x for b. 5 Let b be (6 - (0 + 3))/((-2)/2). Let i be (b + 12)/3 + 3 + -3. Solve 2*l = -i*l - 15 for l. -3 Let t(s) = s**3 - 14*s**2 + 9. Let d be t(14). Let v(g) = g + d*g + g - g. Let x be v(2). Solve 4*w + x = -w for w. -4 Let s(x) = 16*x + 104. Let c be s(-6). Solve 5*m + 8 - c = 0 for m. 0 Let y(g) = 2*g**2 + 152*g + 150. Let i be y(-75). Solve -j - 13*j - 14 = i for j. -1 Suppose -392 = -144*m + 116*m. Solve 2*l + m = 10 for l. -2 Suppose 9 = 4*r - u + 2, -3*r + 2*u = 1. Solve -2 = h - r*h for h. 1 Let s(v) = v**3 + 8*v**2 + 9*v + 2. Let f be 2/(24/28)*-3. Let x be s(f). Let r = x - -16. Solve -4*p = -2*p - r for p. 2 Let p(f) be the second derivative of -f**3/6 + 17*f**2/2 - f. Let w be p(7). Let t be ((-4)/w)/(3/(-15)). Solve -z + t = -2 for z. 4 Let j(q) = 7 - 20*q**2 - 23*q - 30*q + q**3 + 32*q. Let b be j(21). Solve b*a - 4*a - 12 = 0 for a. 4 Suppose 11 = 3*i - t, -2*i + 4*t = 2*i - 4. Suppose i*c - 9*c + 4 = 0. Solve -4*g + 3 = -c for g. 1 Let c be (-8)/6*114/(-76). Solve c*x - 41 = -33 for x. 4 Let s(d) = d**3 + 2*d + 2. Let b be s(-1). Let v be ((-50)/10)/(b/1). Solve 0 = v*a - a + 12 for a. -3 Let k be (4 - 14)/(3/9). Let d = k + 35. Solve 0 = -d*v + 7 + 13 for v. 4 Let k = 9 - -1. Suppose 0*m - 2*m + k = 0. Suppose o - m*i = 10, -3*o + 4 =
{ "pile_set_name": "DM Mathematics" }
t common multiple of 55368 and 4584. 10575288 What is the common denominator of 181/58590 and -92/1454985? 8729910 What is the common denominator of 25/1637328 and 173/595392? 6549312 What is the smallest common multiple of 2565 and 9918? 148770 Calculate the common denominator of 81/15400 and -67/121660. 1216600 What is the smallest common multiple of 930 and 3380? 314340 What is the smallest common multiple of 54 and 4234? 114318 What is the common denominator of -73/2005524 and -38/9831? 2005524 Find the common denominator of 157/19800 and -67/165. 19800 Calculate the common denominator of 47/113757 and -46/15. 568785 Calculate the smallest common multiple of 6552 and 3640. 32760 Calculate the lowest common multiple of 392535 and 697840. 6280560 Calculate the least common multiple of 3806 and 8800. 1522400 What is the common denominator of 47/113750 and -37/22? 1251250 What is the common denominator of 119/10810 and -27/37835? 75670 What is the least common multiple of 98 and 588? 588 What is the least common multiple of 128 and 112? 896 Calculate the least common multiple of 3663 and 1628. 14652 What is the smallest common multiple of 758 and 906? 343374 Calculate the common denominator of 17/6124 and -71/200. 306200 What is the least common multiple of 150 and 2200? 6600 Calculate the common denominator of 31/1125 and -109/1710. 42750 Find the common denominator of 32/3751 and 65/33. 11253 What is the common denominator of 7/371680 and -17/204424? 4088480 Find the common denominator of 66/4025 and 31/2723. 1565725 What is the least common multiple of 11898 and 5949? 11898 Calculate the common denominator of 61/76945 and 3/90935. 1000285 Calculate the lowest common multiple of 102455 and 100. 2049100 What is the common denominator of -67/8451 and 76/81? 25353 Calculate the common denominator of -79/36 and -19/15760. 141840 What is the common denominator of -7/3344 and 21/996512? 996512 Find the common denominator of -173/13680 and 197/17100. 68400 Calculate the lowest common multiple of 3159 and 801. 281151 What is the common denominator of 83/22845 and -61/18? 137070 Calculate the least common multiple of 30 and 24315. 48630 What is the common denominator of 115/6 and -2/195731? 1174386 What is the lowest common multiple of 72852 and 2? 72852 Calculate the common denominator of 4/103845 and -31/4515. 103845 What is the lowest common multiple of 109578 and 168? 438312 Calculate the common denominator of 91/552 and 85/316. 43608 Calculate the common denominator of -45/33232 and -45/124. 33232 Find the common denominator of 61/56224 and -139/18. 506016 Calculate the least common multiple of 112 and 2020. 56560 What is the lowest common multiple of 536 and 3886? 15544 What is the common denominator of -137/31872 and 95/356? 2836608 What is the common denominator of 117/76840 and 41/34? 76840 What is the lowest common multiple of 702 and 11115? 66690 What is the common denominator of -81/23612 and -40/3? 70836 What is the common denominator of -39/25319 and -4/77? 278509 Find the common denominator of -39/1616 and 19/7272. 14544 What is the common denominator of -55/2218 and -83/818442? 818442 Calculate the lowest common multiple of 7 and 712370. 4986590 Calculate the smallest common multiple of 4124 and 48. 49488 What is the lowest common multiple of 138000 and 51000? 2346000 Find the common denominator of -11/33408 and -41/552. 768384 Calculate the lowest common multiple of 378 and 40284. 281988 What is the common denominator of -67/48 and -65/6512? 19536 What is the common denominator of -31/78 and -35/3614? 10842 What is the common denominator of -145/168984 and -113/168984? 168984 What is the common denominator of 6/133 and 11/146110? 1022770 What is the smallest common multiple of 1806 and 18? 5418 What is the lowest common multiple of 3168 and 26928? 53856 What is the common denominator of -61/2870 and 8/1382479? 13824790 Calculate the common denominator of 39/2 and -41/621272. 621272 What is the smallest common multiple of 771 and 135696? 135696 What is the common denominator of -7/2144 and 23/2584? 692512 Calculate the common denominator of -26/861213 and -10/89091. 2583639 Calculate the common denominator of 29/8 and 89/21808. 21808 What is the lowest common multiple of 129760 and 35684? 1427360 What is the common denominator of -17/20254 and -125/12792? 243048 Find the common denominator of 131/52962 and -139/28518. 370734 Calculate the lowest common multiple of 202112 and 2. 202112 Find the common denominator of 54/17045 and -197/1260. 613620 Calculate the common denominator of -63/31505 and -27/126020. 126020 What is the lowest common multiple of 200 and 18230? 364600 What is the lowest common multiple of 784 and 3424? 167776 Calculate the common denominator of 28/142641 and 1/2430. 1426410 Calculate the common denominator of 89/3465 and 19/70. 6930 What is the lowest common multiple of 8424 and 54? 8424 Calculate the least common multiple of 25884 and 12942. 25884 What is the common denominator of 107/12 and 149/111366? 222732 Calculate the common denominator of -47/222653 and 45/53. 222653 Find the common denominator of 57/70 and 143/82180. 82180 What is the smallest common multiple of 1359 and 39864? 119592 Calculate the common denominator of -37/187 and -65/21153. 359601 What is the smallest common multiple of 1697 and 12? 20364 What is the lowest common multiple of 408 and 12312? 209304 Calculate the lowest common multiple of 96 and 425936. 2555616 What is the common denominator of 113/30744 and -33/280? 153720 Calculate the smallest common multiple of 157626 and 326928. 8827056 What is the lowest common multiple of 6424 and 11242? 44968 Calculate the lowest common multiple of 6272 and 47040. 94080 Find the common denominator of 71/1209 and -57/47554. 142662 Find the common denominator of -45/104 and -5/1474. 76648 Calculate the common denominator of 99/474700 and 31/5050. 474700 What is the least common multiple of 22 and 642? 7062 What is the common denominator of 37/6014 and -161/70422? 2183082 What is the smallest common multiple of 454608 and 44352? 1818432 What is the lowest common multiple of 135666 and 30148? 271332 Calculate the least common multiple of 19 and 63802. 63802 Find the common denominator of -17/1676 and 23/36. 15084 What is the smallest common multiple of 156 and 4875? 19500 Calculate the least common multiple of 20 and 37384. 186920 What is the smallest common multiple of 1664 and 36480? 474240 Calculate the smallest common multiple of 5423 and 1073. 200651 What is the common denominator of -86/15 and 16/2067627? 10338135 Calculate the lowest common multiple of 116450 and 90. 1048050 Calculate the smallest common multiple of 2134 and 1793. 347842 Calculate the least common multiple of 8372 and 644. 8372 Calculate the smallest common multiple of 31737 and 2982. 444318 What is the common denominator of -19/20 and -111/178450? 356900 Calculate the common denominator of 137/216 and 31/311616. 934848 What is the lowest common multiple of 107543 and 387? 967887 Find the common denominator of -119/20 and -13/400525. 1602100 What is the common denominator of 46/5 and 11/3756? 18780 Find the common denominator of -63/39728 and 35/268. 2661776 Find the common denominator of 11/6 and -57/4874866. 14624598 What is the common denominator of -97/72 and -83/11384? 102456 What is the least common multiple of 133 and 266? 266 Calculate the lowest common multiple of 115920 and 40572. 811440 What is the least common multiple of 39 and 28667? 1118013 Calculate the least common multiple of 20349 and 714. 40698 What is the least common multiple of 11764 and 2768? 47056 What is the least common multiple of 1534760 and 1184? 6139040 What is the common denominator of 59/21794 and 9/2564? 43588 What is the common denominator of 7/71632 and -5/296? 71632 Calculate the common denominator of -29/67258 and 65/6. 201774 What is the lowest common multiple of 1377390 and 65590? 1377390 Calculate the common denominator of -59/768 and -71/2592. 20736 What is the least common multiple of 14240 and 120? 42720 What is the lowest common multiple of 14690 and 1640? 2409160 Find the common denominator of -17/230 and 32/10705. 492430 Find
{ "pile_set_name": "DM Mathematics" }
te the highest common factor of 6666 and 44. 22 Calculate the highest common factor of 194 and 20273. 97 What is the highest common divisor of 11 and 1419? 11 What is the highest common divisor of 6 and 22548? 6 What is the greatest common divisor of 25901 and 59? 59 Calculate the greatest common factor of 16 and 196. 4 What is the greatest common divisor of 120 and 3480? 120 What is the greatest common divisor of 2628 and 24? 12 Calculate the highest common divisor of 32 and 200. 8 Calculate the greatest common factor of 297 and 1089. 99 Calculate the highest common factor of 225 and 1305. 45 What is the highest common factor of 177 and 59? 59 Calculate the highest common factor of 7085 and 195. 65 What is the highest common divisor of 3454 and 110? 22 What is the highest common divisor of 80180 and 190? 190 What is the highest common divisor of 97 and 1? 1 What is the greatest common factor of 16 and 4496? 16 Calculate the greatest common divisor of 175 and 1435. 35 What is the highest common divisor of 119 and 85? 17 Calculate the greatest common divisor of 380 and 4028. 76 What is the greatest common factor of 24 and 1280? 8 Calculate the greatest common divisor of 287 and 41. 41 Calculate the greatest common divisor of 28 and 1432. 4 Calculate the highest common factor of 308 and 594. 22 What is the greatest common factor of 259 and 333? 37 Calculate the greatest common divisor of 5460 and 350. 70 What is the greatest common divisor of 264 and 48? 24 Calculate the highest common factor of 1044 and 754. 58 Calculate the highest common factor of 4 and 128. 4 What is the greatest common divisor of 43 and 56072? 43 What is the highest common factor of 40 and 1336? 8 Calculate the highest common factor of 21746 and 249. 83 Calculate the highest common factor of 144 and 108. 36 What is the highest common divisor of 212 and 11342? 106 Calculate the highest common factor of 20 and 2390. 10 Calculate the highest common factor of 737 and 55. 11 What is the highest common factor of 1428 and 1360? 68 Calculate the greatest common factor of 22 and 22. 22 What is the highest common factor of 65 and 65? 65 What is the greatest common divisor of 13 and 403? 13 What is the highest common factor of 738 and 9? 9 Calculate the greatest common divisor of 104 and 130. 26 What is the greatest common factor of 6771 and 333? 111 Calculate the greatest common factor of 560 and 28. 28 What is the highest common factor of 5 and 75? 5 What is the highest common factor of 420 and 672? 84 Calculate the highest common factor of 88 and 1496. 88 Calculate the greatest common factor of 516 and 12. 12 What is the highest common divisor of 1417 and 13? 13 Calculate the highest common factor of 14 and 11053. 7 Calculate the highest common factor of 38 and 12293. 19 What is the highest common divisor of 27 and 63? 9 What is the greatest common divisor of 136 and 34? 34 Calculate the greatest common factor of 321 and 6. 3 Calculate the highest common factor of 1953 and 18. 9 Calculate the highest common factor of 10 and 605. 5 Calculate the highest common factor of 38106 and 87. 87 Calculate the highest common factor of 14 and 642. 2 What is the greatest common factor of 51 and 4216? 17 Calculate the highest common divisor of 59 and 2891. 59 What is the greatest common divisor of 128 and 608? 32 What is the highest common divisor of 13 and 29263? 13 What is the greatest common divisor of 35 and 82775? 35 What is the highest common divisor of 24 and 1632? 24 Calculate the greatest common divisor of 1498 and 42. 14 What is the greatest common divisor of 58 and 406? 58 What is the highest common factor of 403 and 62? 31 What is the highest common divisor of 336 and 1904? 112 Calculate the greatest common divisor of 8601 and 183. 183 Calculate the highest common divisor of 6 and 177. 3 What is the greatest common factor of 38 and 57? 19 What is the highest common divisor of 57864 and 12? 12 Calculate the greatest common factor of 2525 and 303. 101 Calculate the highest common factor of 7 and 2. 1 What is the greatest common factor of 58 and 10498? 58 Calculate the greatest common divisor of 738 and 82. 82 What is the highest common divisor of 60 and 1340? 20 What is the highest common divisor of 125 and 145? 5 What is the greatest common factor of 391 and 23? 23 Calculate the greatest common divisor of 292 and 365. 73 What is the greatest common factor of 81 and 171? 9 Calculate the greatest common divisor of 469 and 658. 7 Calculate the greatest common factor of 18 and 129. 3 What is the greatest common divisor of 612 and 2516? 68 Calculate the greatest common factor of 84 and 12. 12 What is the greatest common factor of 12 and 5892? 12 What is the highest common divisor of 2387 and 63? 7 Calculate the highest common factor of 2407 and 29. 29 Calculate the greatest common factor of 18 and 81. 9 Calculate the greatest common divisor of 670 and 40. 10 What is the highest common factor of 4087 and 67? 67 What is the highest common divisor of 43456 and 7? 7 What is the highest common factor of 63 and 27153? 63 Calculate the highest common factor of 11492 and 104. 52 What is the greatest common factor of 3488 and 64? 32 Calculate the greatest common factor of 53 and 477. 53 What is the highest common divisor of 115 and 368? 23 Calculate the greatest common divisor of 85 and 28390. 85 What is the highest common factor of 336 and 528? 48 Calculate the highest common divisor of 30 and 40. 10 Calculate the highest common divisor of 6 and 1074. 6 What is the greatest common factor of 16 and 472? 8 What is the greatest common divisor of 100 and 40? 20 What is the greatest common divisor of 20 and 760? 20 Calculate the greatest common divisor of 4 and 106. 2 What is the greatest common divisor of 1196 and 782? 46 What is the highest common divisor of 318 and 4240? 106 Calculate the highest common divisor of 427 and 549. 61 What is the greatest common divisor of 5891 and 137? 137 Calculate the greatest common divisor of 968 and 913. 11 Calculate the greatest common factor of 909 and 45. 9 What is the greatest common divisor of 1804 and 246? 82 Calculate the highest common divisor of 12 and 294. 6 What is the highest common divisor of 46 and 345? 23 What is the highest common divisor of 11136 and 87? 87 Calculate the greatest common factor of 570 and 1995. 285 What is the greatest common divisor of 2 and 14426? 2 What is the greatest common factor of 154 and 385? 77 What is the greatest common divisor of 16 and 464? 16 What is the greatest common divisor of 140 and 160? 20 What is the greatest common divisor of 288 and 9? 9 Calculate the highest common divisor of 183 and 3. 3 Calculate the highest common divisor of 89 and 3382. 89 Calculate the greatest common divisor of 19613 and 11. 11 Calculate the greatest common divisor of 3625 and 87. 29 What is the highest common factor of 61 and 8479? 61 Calculate the highest common factor of 180 and 28260. 180 Calculate the highest common factor of 184 and 138. 46 What is the greatest common factor of 360 and 1960? 40 What is the highest common factor of 26 and 117? 13 What is the greatest common factor of 20 and 60? 20 Calculate the highest common factor of 856 and 8. 8 What is the greatest common divisor of 147 and 483? 21 What is the highest common factor of 36 and 56? 4 What is the highest common factor of 89 and 34532? 89 What is the greatest common factor of 48 and 48? 48 Calculate the greatest common divisor of 270 and 90. 90 Calculate the greatest common divisor of 6728 and 116. 116 Calculate the greatest common divisor of 28762 and 292. 146 What is the greatest common factor of 267 and 623? 89 What is the greatest common factor of 342 and 1152? 18 Calculate the greatest common factor of 11 and 7513. 11 What is the highest common factor of 11 and 11? 11 What is the greatest common divisor of 23 and 1495? 23 Calculate the highest common factor of 627 and 4587. 33 What is the highest common factor of 13368 and 8? 8 What is the greatest common divisor of 189 and 147? 21 What is the highest common factor of 88 and 297? 11 Calculate the highest common factor of 30 and 2490. 30 What is the highest common factor of 65 and 39? 13 What is the highe
{ "pile_set_name": "DM Mathematics" }
*c. What are the prime factors of c? 17, 199 Let a(d) = -d**2 - 9*d + 7. Let n be a(4). List the prime factors of (-12)/24 - n/2. 2, 11 Let k be 6/21 + 141/21. Suppose k*b - 4*b = 276. List the prime factors of b. 2, 23 Suppose 3*a - 15 = 0, -p - 202 = -4*a - 830. List the prime factors of p. 2, 3 Let i be ((-1)/(-2))/((-2)/(4*-3)). Suppose 0 = -2*k - 2*k + 4*j + 184, 4*k - 183 = i*j. What are the prime factors of k? 3, 5 Let l(p) = -p**2 - 9*p - 10. Let g be l(-7). Suppose -g*c - 6 = -42. Suppose 0 = o - 2*o - 5*h - c, 0 = -4*o - 3*h + 32. What are the prime factors of o? 11 Let i(o) = 2*o**2 + 14*o + 6. Suppose z + 37 = -4*b, 4*b - 2*z + 56 = -b. What are the prime factors of i(b)? 2, 3, 11 List the prime factors of (1/(-2))/((54/48012)/(-9)). 4001 Let p be (2 - ((0 - 3) + 4))*0. What are the prime factors of (5/(-10)*298)/(-1 - p)? 149 Let t(u) = -5*u + 6. Let y be t(27). Let s = y + 147. List the prime factors of s. 2, 3 Suppose -l + 3*l + 4 = 0. List the prime factors of 3/l*(-1022)/21. 73 Let l = -202 - -474. List the prime factors of l. 2, 17 Let d be 56/26 - 4*(-5)/(-130). Suppose -d*t = 3*t - 375. List the prime factors of t. 3, 5 Suppose 0 = -3*c + 15, -c = -y - 10 + 25. Suppose -6*m + m - y = 0, 5*q = -5*m - 385. Let f = q + 111. What are the prime factors of f? 2, 19 Let u = -4 + 9. Suppose 133 + 32 = -u*a. List the prime factors of (-10 + 1)*a/11. 3 Let i(x) = -x**3 - 16*x**2 - 16*x - 12. Let g be i(-15). Suppose 4*z = g + 9. What are the prime factors of z/((16/(-20))/(-4))? 3, 5 Suppose 2086 = 4*d + 3*u, -6*d - 5*u + 2610 = -d. What are the prime factors of d? 2, 5, 13 Let l = -13 + 6. List the prime factors of l/((-21)/(-6)) + 48. 2, 23 Let a(t) = -4*t**3 - 21*t**2 + t - 11. List the prime factors of a(-8). 5, 137 Let t = 11 - 13. Let j be ((-1)/t)/((-5)/(-60)). Suppose u = j*u - 255. List the prime factors of u. 3, 17 Suppose 5*c + 17 = 6*c. Suppose 2*y + c = -3*j, -2*j + 4*y = 6 + 16. Let v(g) = g**2 + 7*g + 9. What are the prime factors of v(j)? 3 Suppose -3*p - 1210 = 7*p. Let g = -101 - p. List the prime factors of g. 2, 5 Suppose 0 = x - 5*x - 168. What are the prime factors of x/(-3) - (3 + -3)? 2, 7 Suppose 2*g = 3*u + 8323 - 1582, 2*u = 6. List the prime factors of g. 3, 5 Let r = -41 + 65. List the prime factors of (104/r)/((-3)/(-36)). 2, 13 Suppose 30*m + 31*m - 44652 = 0. What are the prime factors of m? 2, 3, 61 Suppose -123 = 3*p - 4*l, 3*l = 2*p - p + 41. Let z = 20 - p. What are the prime factors of z? 61 Suppose k + 0*k = 116. Let o = 276 - k. What are the prime factors of o? 2, 5 Let g be 4/3*(-4)/(12/9). Let l(x) = 3*x**2 - 7*x - 5. List the prime factors of l(g). 71 Suppose 5 = 3*y - 73. Let v = y - 22. Suppose 8*s = v*s + 264. What are the prime factors of s? 2, 3, 11 Let s(q) = 2*q**3 - q**2 - 2*q - 1. Let a be s(3). Let u = -19 + a. List the prime factors of u. 19 Suppose 9*x + 439 = -74. List the prime factors of (-3)/((-36)/(-32))*x. 2, 19 Let o be (-12)/7 - (-24)/(-84). Let m(u) = -u**3 - 10*u**2 - 10*u - 13. Let v be m(-9). List the prime factors of 1/(o/104*v). 13 Suppose 3*x - 14 - 1 = -3*m, -1 = -3*x + 4*m. Suppose -4*j = -g - 281, 211 = x*j - g - 0*g. List the prime factors of j. 2, 5, 7 Suppose 10*d - 14*d = -188. Suppose -c + 2*v + 6 = -d, 25 = c + 5*v. List the prime factors of c. 3, 5 Suppose 0 = 4*c + 2*c + 60. Let a be -1 + (-3 - -1) - c. Let j(t) = -t**2 + 16*t - 7. List the prime factors of j(a). 2, 7 Let c(t) = -279*t + 1142. What are the prime factors of c(-9)? 13, 281 Let z(g) = 103*g - 15. What are the prime factors of z(1)? 2, 11 Suppose 8*d - 2265 = 1735. List the prime factors of d. 2, 5 Let i(u) be the first derivative of -u**4 - u**3/3 - u**2 - u - 6. Let v be i(-1). Suppose -5*p + 35 = -5*x, -8*x + v*x - 4 = 2*p. List the prime factors of p. 2 Let v(d) = -53*d**3. Let w be v(1). Let x = -5 + w. What are the prime factors of 3/(-6)*x/1? 29 List the prime factors of (-5 - 531/(-27))*201/2. 2, 11, 67 Let o(i) = 22*i**3 - 10*i**2 - 9*i**3 - 17*i**3 - 4 + i + i. List the prime factors of o(-5). 2, 59 Suppose -5*v - 244 = -4*t + t, 5*t = -v - 60. Let s be (-4 + 6)*v/4. Let m = s + 42. What are the prime factors of m? 17 Suppose 46*w - 2158 = 50. List the prime factors of w. 2, 3 Let n = 468 - -46. What are the prime factors of n? 2, 257 Suppose -6*j + 1061 = -1777. Suppose u - g = -u + j, -g = -u + 239. What are the prime factors of u? 2, 3, 13 Let w = -324 - -481. What are the prime factors of w? 157 Suppose 2*z - s = 3174, -10*z - s - 1589 = -11*z. List the prime factors of z. 5, 317 Suppose -a = 2*a - 9. Let i(k) = -15*k - 13 + 9*k**2 + k**a - 2 + 0*k**2. List the prime factors of i(-10). 5, 7 Let g = -2388 + 4475. What are the prime factors of g? 2087 Suppose 2*v + 2*v = 5*o + 6, o + 5 = -3*v. Let q be 0/((-4)/2) - v. What are the prime factors of (-4 + 33)/(q/1)? 29 Let o(x) = -x**3 - x**2 + x + 1. Let c be o(-1). What are the prime factors of 1/(-3) - (770/(-6) + c)? 2 Let q(c) = c**2 - 13*c + 23. Let g be q(-11). Let k = g - -140. Suppose 10*u - k = 3*u. List the prime factors of u. 61 Suppose 0*v - 28 = -7*v. Suppose l + 4*l = -v*q + 48, 32 = 5*l - 4*q. Suppose -3*p + l*p - 2*k = 96, 5*k = -15. What are the prime factors of p? 2, 3 Suppose -1728 = -17*j + 9*j. What are the prime factors of j? 2, 3 Suppose 2*l + 7 = 1. Let h(x) = -x**3 - 4*x**2 - 2*x + 1. Let t be h(l). List the prime factors of (-12)/(-8)*26 - t. 41 Let p = 63 + -43. Suppose 0 = -4*z + 4*v + p, 5*v + 3 = 2*z + 8. Let x = -2 + z. What are the prime factors of x? 2 Let a(f) = f**2 + 11*f - 8. Let y be a(-12). Suppose 4*j + j + 3*i = 100, -31 = -3*j + y*i. List the prime factors of j. 17 Suppose -7*t = -10*t + 798. Let i = -161 + t. What are the prime factors of i? 3, 5, 7 Let u be 160/112*7*1. What are the prime factors of (148/u)/((-8)/(-120))? 2, 3, 37 Suppose 0 = -2*x, z = -4*z + x + 195. Suppose 0*k + z = -3*k. Let p = k - -15. What are the prime factors of p? 2 Let s(k) = 4*k + 17. Let m be s(18). Suppose -3*w = -13 - m. What are the prime factors of w? 2, 17 Let z(n) = 5*n**2 - n. Let r = -6 + 8. Suppose r*i + 8 = 4*k, 3*i - k + 11 = 4*k. What are the prime factors of z(i)? 2, 11 Let w = -1820 - -3567. What are the prime factors of w? 1747 Suppose 4 = -g, 5*r - 3*r + 32 = -5*g. What are the prime factors of (-322)/r - (-3)/9? 2, 3 Let p be ((-16)/(-20))/((-6)/(-75)). Let s(f) = -f + 10. Let z be s(p). Suppose k - 41 + 0 = z. What are the prime factors of k? 41 Suppose -5*u = 5*m - 1395, -5*m - 166 = -u + 131. Let v = u - 34. What are the prime factors of v? 2, 31 Let t = -16 + 16. Suppose -5*l + 4*z + 185 = t, 2*z + 154 = 3*l + l. Suppose 0 = 3*x - 3*q - 170 + l, 4*q - 80 = -2*x. What are the prime factors of x? 2, 3, 7 Let o = -11 + 13. Let y be (1 + 6/(-2))/(-1). Suppose 3*h - y = o*h, 15 = k - 3*h. List the prime factors of k. 3, 7 Let n(w) = w**3 - 5*w**2 + 4*w + 2. Let d be n(4). Suppose 5 = -0*l + l. List the prime factors of (l/15)/(d/186). 31 Let k(a) be the second derivative of a**5/20 - a**4/2 + 5*a**3/2 - 4*a**2 - 6*a. What are the prime factors of k(6)? 2, 41 Let p be (-414)/12 - 4/8. Let y = p + 41. List the prime factors of y. 2, 3 Suppose 18348 = 70*u - 58*u. What are the prime factors of u? 11, 139 Suppose 23744 - 8839 = 11*x. What are the prime factors of x? 5, 271 Let c(p) = 5*p + 7. Let k be c(-6). Let x = -13 - k. List the prime factors of 2/x - (-4114)/55. 3, 5 Suppose 10*j - 6*j = 8. Suppose j*b = 4*b - 96. Let t = -2 + b. What are the prime factors of t? 2, 23 Suppose 10*j - 12 = 7*j. Suppose j*o = o - 3*q + 9, 0 = -q - 3. What are the prime factors of o? 2, 3 Let u(a) = a**3 + 2*a**2 + 5. Let p be u(0). Suppose k + 84 = p*k. List the prime factors of (15 + -1)/(14/k). 3, 7 Suppose -3*s - 3*s - 18 = 0. Let r = 21 - s. What are the prime factors of r? 2, 3 Let x be (84/(-35) - (-6)/(-10)) + 0. List the prime factors of 866/9 - (29/9 + x). 2, 3 Suppose 16*h - 14*h = 194. List the prime factors of h. 97 What are the prime factors of 6/(-24) - (-37384)/32? 2, 73 Suppose -3941 = -4*r - 5*q, 4*r + 2*q + 3962 = 8*r. What are the prime factors of r? 23, 43 Suppose -6 = 3*v - v, -4*v = -2*t + 22. Suppose -5*i + 2*i + 45 = 0. Suppose -t*x + 55 - i = 0. List the prime factors of x. 2 Let j
{ "pile_set_name": "DM Mathematics" }
n -42377*k**2 + 42376*k**2 - 51 + 149. -k**2 + 98 Collect the terms in p + 650 - 33 - 617. p Collect the terms in -161*v + 205*v + 93*v. 137*v Collect the terms in -1458012*m**2 - 5*m + 1458014*m**2 + 5*m. 2*m**2 Collect the terms in 10009 + 10013 - 30042 - v - 2*v + 10013. -3*v - 7 Collect the terms in -3365*u**3 - 22*u**2 + 58 - 28 - 30. -3365*u**3 - 22*u**2 Collect the terms in -93*c**3 - 86*c**3 - 72*c**3 + 526*c**3 - 79*c**3 - 106*c**3. 90*c**3 Collect the terms in 0 + 219311*b + 0 - 1 + 3*b**2. 3*b**2 + 219311*b - 1 Collect the terms in -159*f**3 + 158*f**3 + 587*f + 602*f + 583*f + 594*f - 2366*f. -f**3 Collect the terms in -340 - 341 + 1109 - 428 - 381*h**3. -381*h**3 Collect the terms in 93 + 84 - 350 + 13*b + 89 + 83. 13*b - 1 Collect the terms in 132*c - 139*c**2 + 120*c - 254*c + 1 - 869*c**2. -1008*c**2 - 2*c + 1 Collect the terms in -35*w**3 + 61 + 27 - 100 + 462*w**3 + 12. 427*w**3 Collect the terms in -2*d**2 - 2*d**2 - 1503 + d**3 + 4*d**2 - 2677. d**3 - 4180 Collect the terms in 415857*q**2 - 213428*q**2 - 211640*q**2. -9211*q**2 Collect the terms in 4*d - 3*d + 35*d**2 - 4 + 182253*d**3 - 36*d**2 + 0*d. 182253*d**3 - d**2 + d - 4 Collect the terms in -6*v - 3873 - 1478 + 5351. -6*v Collect the terms in -441633990 + 862*u + 441633990. 862*u Collect the terms in -6*d + 8*d - 57 - d - 126*d**2 + 57 + 0*d. -126*d**2 + d Collect the terms in -725 - 246*o**2 + 3*o + 1046 - 321. -246*o**2 + 3*o Collect the terms in -59 + 184 - 48 + 186 - 2*v. -2*v + 263 Collect the terms in 1323*b + 1310*b + 1308*b - 5248*b - 4*b**3 + 1308*b + 5*b**3. b**3 + b Collect the terms in b**2 + 107 + 139 - 20*b**2 + 216 - 309. -19*b**2 + 153 Collect the terms in 83636 + y - 41803 - 41817. y + 16 Collect the terms in 85239 + 21*y**2 - 24*y**2 - 255715 + 85240 + 85236. -3*y**2 Collect the terms in 70932*h**2 - 35410*h**2 - 3 - 35385*h**2 + 3 + 0. 137*h**2 Collect the terms in 1 + 0 - 6105*j - 2390*j. -8495*j + 1 Collect the terms in -4 - 1650*w**2 - 4424*w**2 + 2*w**3 + 12 + 1730*w**2. 2*w**3 - 4344*w**2 + 8 Collect the terms in -2*q**2 + 91079*q + 309069*q - 57059*q. -2*q**2 + 343089*q Collect the terms in -164*k**2 - 9310*k + 18615*k - 9305*k. -164*k**2 Collect the terms in 2300809*k**3 + 8 + 12 - 2300817*k**3. -8*k**3 + 20 Collect the terms in 326989*s**2 + 12*s - 327056*s**2 - 4*s - 8*s + 2*s**3. 2*s**3 - 67*s**2 Collect the terms in 18671*i + 19475*i - 57631*i + 19488*i. 3*i Collect the terms in 2271*r - 5*r**3 + 2 + 181*r - 2 - r**2 + 1. -5*r**3 - r**2 + 2452*r + 1 Collect the terms in 4062398*f**2 + 6*f**3 - 4062398*f**2. 6*f**3 Collect the terms in 24*k + 3*k + 11*k - 16*k + 9*k + 6*k. 37*k Collect the terms in 9*p**2 - 9675 + 4829 + 21*p**2 + 4846 + 33*p**2. 63*p**2 Collect the terms in 510*t - 939*t - 511*t - 326*t - 361*t. -1627*t Collect the terms in 0*l + 7*l - 211 - 127 - 6*l - 3*l. -2*l - 338 Collect the terms in 1192*x - 3794*x - 615*x - 5254*x. -8471*x Collect the terms in 6128752*i + 5047543*i - 285127*i. 10891168*i Collect the terms in 10 + 382*n + 544*n + 552*n - 102 - 1476*n. 2*n - 92 Collect the terms in 3343*b**2 - 66*b - 40*b + 106*b - 9542*b**2. -6199*b**2 Collect the terms in -663*v**2 - 1452*v + 2879*v - 1428*v. -663*v**2 - v Collect the terms in 69018*x - 34451*x - 34578*x - 3*x**2. -3*x**2 - 11*x Collect the terms in 2079*u**2 - 3913*u**2 + 2033*u**2. 199*u**2 Collect the terms in k + 61596 - 122704 + 61108. k Collect the terms in 69*v**3 - 3*v**3 - 9*v**3 - 2 - 5*v**3 + v**3. 53*v**3 - 2 Collect the terms in 34 + 2 - 4*c**2 + 234*c - 109*c - 118*c. -4*c**2 + 7*c + 36 Collect the terms in -4 + 42 - 30 - 11 + 4*n**2. 4*n**2 - 3 Collect the terms in 4643*y + 4697*y - 9349*y. -9*y Collect the terms in 0*q - 10*q - q + 2*q - 6 + 11*q + 15. 2*q + 9 Collect the terms in -347*k - 636*k - 427*k + 800*k. -610*k Collect the terms in 1791*h**3 + 3163*h**3 - 3094*h**3. 1860*h**3 Collect the terms in 6*i - 80*i**2 + 25*i + 38*i**2 + 7*i + 2*i + 44*i**2. 2*i**2 + 40*i Collect the terms in -27 - 25 + 221*l**2 + 91 - 18 + 98*l**2 - 22. 319*l**2 - 1 Collect the terms in -340752 - 340751 + 1022263 - 7*n**3 - 340760. -7*n**3 Collect the terms in -59917*l**2 + 29915*l**2 + 31667*l**2. 1665*l**2 Collect the terms in 212 + 946*d - 168*d - 102 - 109. 778*d + 1 Collect the terms in -31*v - 15381*v**2 - 151*v + 181*v. -15381*v**2 - v Collect the terms in 212*r + 209*r - 423*r - 32*r**2 + 97*r**2. 65*r**2 - 2*r Collect the terms in 619*d - 621*d + 4658911 - 4658911. -2*d Collect the terms in 212*y**3 + 3*y + 144*y**2 + 219*y**2 - 368*y**2. 212*y**3 - 5*y**2 + 3*y Collect the terms in 47640*r**2 - 1 - 122*r - 47648*r**2 + 116*r + 1. -8*r**2 - 6*r Collect the terms in 42 - 17 - 25 - 62579*m. -62579*m Collect the terms in -6810*x + 13606*x - 6796*x + 2800*x**2. 2800*x**2 Collect the terms in -4317*z**2 - 1497*z**2 - 859 + 859. -5814*z**2 Collect the terms in -1 - 974*a - 963*a + 5 + 1966*a - 3 + 17*a**2 + 1. 17*a**2 + 29*a + 2 Collect the terms in -69*k + 11*k - 901 + 30*k + 858 + 26*k. -2*k - 43 Collect the terms in -659*j**2 - 668*j**2 - 639*j**2 + 2045*j**2. 79*j**2 Collect the terms in -13*g**2 - 12*g**2 + 8*g**2 - 27*g**2 - 36*g**2. -80*g**2 Collect the terms in -5*q - 6*q + q + 3*q - 12*q + 4*q + 21*q - 4*q. 2*q Collect the terms in 128*x**2 - 28934706*x + 28934706*x. 128*x**2 Collect the terms in 32*c + 36*c - 104*c + 34*c + 21*c. 19*c Collect the terms in -42 - 41 + 160 + 11369*i - 36 - 41. 11369*i Collect the terms in -7 + 33*d + 3 + 4 - 860*d + 420*d. -407*d Collect the terms in -57*b - 84*b - 66 - 30*b + b**2. b**2 - 171*b - 66 Collect the terms in -14*w + 67911690 - 216*w - 67911690. -230*w Collect the terms in -6546*b - 5611 + 1928 + 13085*b - 6540*b. -b - 3683 Collect the terms in 4924*n + 2293*n + 1404*n. 8621*n Collect the terms in -9*p**2 + 3*p - 298*p**2 + 19*p**2. -288*p**2 + 3*p Collect the terms in -12 + 0*s - 2*s + 4*s + 14599*s**2 + 4184*s**2. 18783*s**2 + 2*s - 12 Collect the terms in -3087*k**3 - 3306 + 1314 + 3092*k**3. 5*k**3 - 1992 Collect the terms in 9 + 17 - 26 + 5284013*r. 5284013*r Collect the terms in -5661349*u**2 + 2830651*u**2 + 2830450*u**2. -248*u**2 Collect the terms in -6712*v**3 + 1710301 - 1710301 + 6711*v**3. -v**3 Collect the terms in -10*k**2 + 1401*k**3 + 44*k**2 - 34*k**2 + 3173*k**3. 4574*k**3 Collect the terms in 26*d**2 + 26*d**2 + 10*d**2 - 62*d**2 - 3*d**3 - 84*d**3. -87*d**3 Collect the terms in -530*r + 86 + 50 - 136 + 529*r. -r Collect the terms in -292*v - 9 - 175*v - 1 - 186*v + 793*v + 9. 140*v - 1 Collect the terms in -1943*m - 33975 + 33975. -1943*m Collect the terms in 2*q**2 - 100185 - 100481 - 100453 + 301683. 2*q**2 + 564 Collect the terms in 5*g - 200*g + 116*g - 8*g**2 + 114*g - 35*g. -8*g**2 Collect the terms in 7*k + 0 - 4*k + 479*k**2 + 225*k**2 + 3 + 199*k**3. 199*k**3 + 704*k**2 + 3*k + 3 Collect the terms in 1 + 22*n + 24*n - 86*n + 44*n - 1. 4*n Collect the terms in 12 + 4*t + 12*t - 5*t - 9*t. 2*t + 12 Collect the terms in -8*v**2 - 23*v**3 + 42*v**3 + 12*v**2 - 31*v**3 - 10*v**3 - 8*v**2. -22*v**3 - 4*v**2 Collect the terms in 156789008 - 156789008 + 1848*x**2. 1848*x**2 Collect the terms in 3154*i + 4 + 12 + 8 - 24. 3154*i Collect the terms in -495041*b - 495053*b - 495042*b + 1 + 1485124*b. -12*b + 1 Collect the terms in -16*q + 5308337157 - 5308337157. -16*q Collect the terms in 20*a + 3141 + 3136 + 3147 - 9424. 20*a Collect the terms in -269565*u**2 - 22*u**3 - 269687*u**2 + 539246*u**2. -22*u**3 - 6*u**2 Collect the terms in 28219 + 28208 - 56427 - 5027*b + 2*b**3. 2*b**3 - 5027*b Collect the terms in -2*o**3 - 127444986241771 + 127444986241771 + o**3. -o**3 Collect the terms in -51878 - 51845 + 103722 - 30*z. -30*z - 1 Collect the terms in 4640*a**2 - 8324*a**2 - 5578*a**2. -9262*a**2 Collect the terms in -795*h + 63 - 24 - 38 + 824*h. 29*h + 1 Collect the terms in -355*a**3 - 394*a**3 + 1063*a**3 - 455*a**3. -141*a**3 Collect the terms in -57739*v**3 - 56810*v**3 + 116607*v**3. 2058*v**3 Collect the terms in 2*l**2 - 31582*l**3 + 6*l**2 - 5724*l**3 - 8*l**2. -37306*l**3 Collect the terms in 5716*t - 1 - t**3 + 1049*t - 545*t. -t**3 + 6220*t - 1 Collect the terms in -2256*h - 2261*h - 1914*h - 2258*h + 8694*h. 5*h Collect the terms in 4 + 91*c**2 + 107*c**2 - 69*c**2 + 1
{ "pile_set_name": "DM Mathematics" }
- 3/(-3)). Suppose 2*k + 2 = t*k, 0 = b - 3*k - 2. Suppose -14 - b = -i. Is 6 a factor of i? False Suppose 5*s - 23 = -4*d, -3*d - 5*s + 5 = -8*d. Let j be (0/(2/2))/2. Suppose j = 3*r - d*r - 44. Is r a multiple of 16? False Suppose 11 = -4*q + 27. Is 32 a factor of ((-1)/2)/(q/(-1280))? True Let r = 1040 - 572. Is r a multiple of 18? True Suppose -3*o - 5*o = -40. Suppose s = 2*u + 170, -o*s - u - 2*u = -902. Is 48 a factor of s? False Suppose -6*t + 116 = 8. Is t a multiple of 4? False Suppose -3*l - 28 = -4*t, -9 = 5*l + 3*t - 1. Does 14 divide (29 - -3)*(-14)/l? True Let w = 1691 + -1109. Is w a multiple of 6? True Is -6*(-4)/(-6)*1368/(-16) a multiple of 10? False Let d(w) be the third derivative of 7*w**5/10 + w**4/24 - 11*w**2. Is d(1) a multiple of 8? False Let m(a) be the third derivative of 4*a**4/3 + a**3/3 + 70*a**2. Let l = 4 + -2. Does 15 divide m(l)? False Let v(s) = -2*s + 4. Let q be v(-7). Suppose 0*h + 3*t = h - q, 3*h - 3*t - 36 = 0. Does 3 divide h? True Let a(c) = -c**2 + 78*c - 245. Is 20 a factor of a(33)? True Suppose -3*i + 5*p - 7*p + 416 = 0, 2*i - 288 = 4*p. Is 10 a factor of i? True Suppose -871*f = -878*f + 1470. Is 7 a factor of f? True Suppose -9456 = 14*j - 29840. Is j a multiple of 54? False Suppose 2*i = -7*i + 45. Suppose 85 = 4*n - 2*r - 39, 3*r + 155 = i*n. Is 12 a factor of n? False Let k(f) = -f + 7. Let u be k(11). Let q be (118/4)/((-2)/u). Suppose 4*i + 71 = 5*n, 0*n - q = -4*n + i. Does 5 divide n? True Suppose 12*x + 5563 - 21499 = 0. Is 16 a factor of x? True Suppose 19 = 4*g - 17. Let a be g/(2*4/8). Suppose 0 = -y - a + 12. Is 3 a factor of y? True Suppose t = 3*d - 3, -t - 5 = -d - 2. Is 37 a factor of 6/(-14) - (-2076)/(-28)*t? True Let q be ((-13)/(-4))/((8/(-4))/(-48)). Let y = q + -30. Is y a multiple of 24? True Let r(z) = -z**3 - 3*z**2 + 8*z + 6. Let m be r(-5). Suppose 3*p = 7*p - m. Suppose -2*q + c = -2*c - 96, 0 = -p*c + 8. Does 19 divide q? False Let i(f) = -f + 7. Let c be i(5). Let b = 145 + -137. Suppose -c*p - 4 = -b. Is p even? True Suppose 18*q - 16*q - l = 270, -5*q + 705 = 5*l. Does 14 divide q? False Is 37 a factor of -222*((-8)/1)/4 + 0? True Suppose 6 - 42 = -3*c. Is 5 a factor of c? False Let b be (-39)/(-6) + (-6)/4. Suppose 537 = b*h - 218. Let m = -97 + h. Does 18 divide m? True Let p be 1*(-3 + 8 + -2). Let c(i) = 4*i**2 - 5*i**2 + p*i**2 + 1 + i - i**2. Is 2 a factor of c(3)? False Suppose -3*f = 4*y - 548, 4*f - f - 532 = 4*y. Let g be 6/2 - f*1. Is 4/(g/(-57) - 3) a multiple of 19? True Suppose -36*h - 28*h + 8128 = 0. Is h a multiple of 4? False Suppose -24*c + 24604 = -26468. Is 38 a factor of c? True Suppose 11*k = 4*k + 1890. Suppose 3*q = 9*q - k. Is q a multiple of 5? True Let s = -236 + 93. Let r = s - -342. Suppose -3*m - h + r = 0, 41 = m - 5*h - 4. Is m a multiple of 24? False Suppose 14 = -s + 18. Suppose 4 = s*n, p - 5*p + 81 = -3*n. Does 12 divide p? False Suppose 5*z + q = 2*z - 14, -q = -z - 2. Let k be z/12 + 32/6. Suppose -k*y + 3*y = -38. Is 19 a factor of y? True Suppose 10*v + 8214 = 47*v. Is 37 a factor of v? True Suppose -b - v = -2*b + 1279, -2*b + 2534 = 4*v. Does 15 divide b? True Let y = 4 + -1. Suppose -n = y*n - 152. Suppose 5*g - n = 107. Is 5 a factor of g? False Suppose 0 = -3*t + 3*p + 6, -5*p - 25 = -2*t - 10*p. Suppose -t*c = -9*c + 672. Is 21 a factor of c? True Let u = 19 - 19. Is 4 a factor of -1 + u - (1 + -22)? True Suppose -2 = -k + 1. Is 33 a factor of (-302)/((-10)/15*k)? False Suppose 3*p = -9 + 15. Suppose -6 + 1 = u + o, -2*o = -u - p. Is u/(3*6/(-99)) a multiple of 11? True Let n = -49 - -40. Is 11 a factor of (-2)/n - (-6190)/90? False Suppose 2*w = -2*s + 40 - 2, -39 = -w + 4*s. Does 23 divide w? True Let d(a) = 57*a - 2. Let c be d(6). Suppose 5*y = 4*r - r + c, 2*r + 205 = 3*y. Is 16 a factor of y? False Suppose 0 = -2*l + 5*m - 103, 0 = 5*l + 2*m + 75 + 197. Let v = -21 - l. Is 23 a factor of v? False Let c = 831 - 421. Suppose -c = m - 6*m. Does 10 divide m? False Suppose -6*o = -o - 3*w - 120, o = 5*w + 2. Suppose 5*z - b + 7 = -29, o = -4*z - b. Is 8 a factor of z*((-96)/14)/2? True Let c(g) = -146*g - 13. Is 9 a factor of c(-2)? True Let d be 21*2/(2 + -4). Let r = -35 - 17. Let u = d - r. Is u a multiple of 31? True Let w(m) = 3*m**2 - 2*m - 22*m**2 - 13 + 2*m**3 + m**2. Is w(10) a multiple of 35? False Let r be (-1*(-28)/6)/(8/12). Suppose -10 = 2*x + 6. Let n = r - x. Is n a multiple of 3? True Let u(d) = -5*d**3 + 10*d**2 + 3*d + 1. Let q(y) = -y**3 - y. Let b(o) = -6*q(o) + u(o). Is b(-7) a multiple of 13? False Let o(w) = -w. Let l(s) = s. Let u(b) = -l(b) - 2*o(b). Let h be u(2). Suppose h*p + 4*t + 12 = 4*p, -1 = t. Is 2 a factor of p? True Suppose -2*x - 716 = -4*x + 2*z, -z + 360 = x. Is x a multiple of 11? False Suppose 0 = 4*t - 5*t + 5. Suppose t*s - 264 = 21. Suppose 0 = 3*r - s + 3. Does 3 divide r? True Let p be 2 - 419/(-2) - (-15)/30. Let b = -139 + p. Is b a multiple of 21? False Suppose -5*p + 0*p = -15. Is 21*9/(-6)*(-2)/p a multiple of 7? True Let b(n) = 23*n - 19*n**3 - 11 - 12 - 19*n**2 + 20*n**3. Does 32 divide b(18)? False Let f = -17 - -23. Let v be 20/f*27/18. Suppose 5*p + t = 42 + 36, 69 = v*p - 2*t. Does 3 divide p? True Suppose 7*d = 5*d + 856. Suppose j = f - 4*j - 113, -4*f = 4*j - d. Is f a multiple of 24? False Suppose -5*x - l + 265 + 119 = 0, 4*l + 4 = 0. Suppose x + 43 = 6*z. Is z a multiple of 10? True Does 4 divide 8556/10 + (10 - (-768)/(-80))? True Let b be ((-30)/20)/((-6)/16). Let y be (-112)/(-49) + b/(-14). Let r = 3 + y. Is r a multiple of 5? True Let t(m) = m**3 - 10*m**2 - 13*m - 15. Let u be 65/4 + (-10)/40. Let i be (u/(-2))/((-4)/6). Is t(i) a multiple of 13? True Suppose 4*c - h - 548 = 0, -4*c - 2*h - 3*h + 524 = 0. Let s = c - 92. Is 12 a factor of s? False Let z be (-18)/(-6) + (0 - 1). Suppose z*t - 7 = 17. Let c = t - -5. Is 16 a factor of c? False Suppose 0*r + 3*n = 4*r - 119, 145 = 5*r - 3*n. Let b = 29 - r. Is b a multiple of 3? True Suppose -10 = 4*y - 6*y. Suppose y*i = -i + 270. Does 9 divide i? True Let g = -23 - -26. Suppose -6*l + 39 = -g*l. Is 2 a factor of l? False Let k = -106 - -112. Let n(x) = 31*x - 18. Is 21 a factor of n(k)? True Let o(h) = h + 22. Let b be o(-18). Suppose b*w + 3*a = 5*a + 242, -4*w = 5*a - 235. Is 10 a factor of w? True Let j(n) = n + 36. Let m(l) = l**3 + 13*l**2 + 13*l + 14. Let q be m(-12). Let s be (-2 + -28)*q/4. Is 8 a factor of j(s)? False Let a = 61 + -59. Does 21 divide 162/a + (-2)/(-1)? False Suppose -15 = 2*r - 5*r. Let i = 9 + -5. Suppose -5*q + r*c = -100, i*q + 4*c = 7*q - 57. Is q a multiple of 8? False Suppose -v + a = 2*a - 1, -3*a = -2*v + 12. Suppose -v - 24 = -3*h - 3*z, -z - 9 = -2*h. Does 4 divide h? False Suppose y - 24 = 3*z - 2*z, -3*z = 5*y + 80. Let o = -27 - z. Is -3 + 4 + 4 - o a multiple of 7? True Suppose -61027 = -22*k + 221. Does 32 divide k? True Suppose 5 = 5*p, -4*h + 5*p + 973 = -462. Is h a multiple of 18? True Suppose 0*r - 75 = 5*r. Let u be (r/(-10))/((-6)/(-8)). Suppose u*g + 12 - 222 = 0. Is g a multiple of 15? True Suppose 6*p - 861 = -21. Is p a multiple of 5? True Suppose 4*q = 2*h + 42, 0 = -3*q + 2*h - 4*h + 42. Suppose 7*t = 3*t + q. Suppose 52 = 2*c - t*l - 71, -5*c = 2*l - 317. Is 21 a factor of c? True Let w(p) = 9*p**3 - 2*p**2 - 2*p - 3. Let y(r) = 9*r**3 - 3*r**2 - 2*r - 4. Let a(k) = 5*w(k) - 4*y(k). Suppose -h + 0 + 1 = 0. Does 5 divide a(h)? True Suppose 0 = -3*g - 2*d + d + 19, -4*g = -3*d - 21. Let w(t) = 0*t - 6*t + g - 12*t - 9*t. Is 19 a factor of w(-3)? False Let f(o) be the first derivative of -3*o**2 - 12*o - 6. Is 5 a factor of f(-7)? True Suppose -10 = -4*m + 110. Suppose 7*s - 240 + m = 0. Does 24 divide s? False Let h = -138 - -358. Is 11 a factor of h? True Let p = -5 + 10. Let q be 2/(1/45*10). Suppose -3*u + 4*f = u - 84, -q = u + p*f. Is u a multiple of 6? False Let z = -14 - -15. Let n(l) = 31*l**2 + l - 2. Does 8 divide n(z)? False Let f(r) = 170*r + 795. Does 53 divide f(0)? True Let m = -1201 + 2137. Is m a multiple of 52? True Let o = 368 + -178. Does 4 divide o? False Suppose d = i - 85, -3*d - 180 = -2*i + d. Is i a multiple of 10? True Let b = -36 + 41. Suppose -2 = 2*j + b*o - 103, -o + 3 = 0. Is j a multiple of 6? False Let d
{ "pile_set_name": "DM Mathematics" }
PM and 11:03 PM? 647 What is 708 minutes before 10:10 PM? 10:22 AM What is 195 minutes before 9:39 PM? 6:24 PM How many minutes are there between 9:49 AM and 10:56 AM? 67 How many minutes are there between 8:49 AM and 2:55 PM? 366 What is 289 minutes after 10:55 AM? 3:44 PM How many minutes are there between 10:08 AM and 3:31 PM? 323 How many minutes are there between 7:31 AM and 1:47 PM? 376 How many minutes are there between 10:57 PM and 2:11 AM? 194 What is 576 minutes after 1:53 AM? 11:29 AM How many minutes are there between 5:43 AM and 5:32 PM? 709 How many minutes are there between 3:11 PM and 12:53 AM? 582 What is 688 minutes after 11:59 AM? 11:27 PM What is 136 minutes after 6:23 AM? 8:39 AM How many minutes are there between 3:59 AM and 10:25 AM? 386 What is 682 minutes after 7:49 PM? 7:11 AM What is 255 minutes before 4:28 PM? 12:13 PM What is 481 minutes before 6:20 AM? 10:19 PM What is 467 minutes before 3:39 PM? 7:52 AM How many minutes are there between 9:45 PM and 4:31 AM? 406 How many minutes are there between 3:45 PM and 10:26 PM? 401 What is 692 minutes after 8:11 PM? 7:43 AM What is 532 minutes before 3:05 PM? 6:13 AM What is 493 minutes after 8:50 AM? 5:03 PM What is 231 minutes after 12:55 AM? 4:46 AM How many minutes are there between 9:12 AM and 2:10 PM? 298 What is 557 minutes after 10:38 AM? 7:55 PM How many minutes are there between 7:32 AM and 10:23 AM? 171 What is 715 minutes before 5:02 PM? 5:07 AM What is 62 minutes after 3:49 AM? 4:51 AM What is 420 minutes before 12:35 PM? 5:35 AM How many minutes are there between 9:56 PM and 8:24 AM? 628 What is 505 minutes before 12:26 PM? 4:01 AM How many minutes are there between 3:48 PM and 2:15 AM? 627 How many minutes are there between 8:05 PM and 8:41 PM? 36 What is 530 minutes before 3:56 AM? 7:06 PM What is 52 minutes after 3:49 PM? 4:41 PM How many minutes are there between 7:22 AM and 2:31 PM? 429 How many minutes are there between 1:12 AM and 7:43 AM? 391 What is 254 minutes after 4:52 AM? 9:06 AM What is 630 minutes before 11:02 AM? 12:32 AM What is 366 minutes after 9:33 PM? 3:39 AM How many minutes are there between 9:31 PM and 7:56 AM? 625 How many minutes are there between 9:26 AM and 5:12 PM? 466 What is 700 minutes before 1:06 PM? 1:26 AM What is 528 minutes after 5:53 AM? 2:41 PM What is 677 minutes before 12:04 PM? 12:47 AM What is 249 minutes before 7:59 AM? 3:50 AM How many minutes are there between 7:58 PM and 6:15 AM? 617 What is 59 minutes before 9:14 AM? 8:15 AM What is 643 minutes after 6:49 PM? 5:32 AM How many minutes are there between 7:26 PM and 12:09 AM? 283 How many minutes are there between 4:31 PM and 5:06 PM? 35 How many minutes are there between 5:05 AM and 8:34 AM? 209 How many minutes are there between 7:53 PM and 6:36 AM? 643 What is 270 minutes before 6:08 PM? 1:38 PM How many minutes are there between 2:18 PM and 1:22 AM? 664 How many minutes are there between 11:02 AM and 7:04 PM? 482 What is 473 minutes before 1:11 AM? 5:18 PM What is 149 minutes after 6:35 AM? 9:04 AM What is 607 minutes after 5:55 PM? 4:02 AM What is 634 minutes before 7:48 AM? 9:14 PM What is 557 minutes after 1:06 PM? 10:23 PM How many minutes are there between 1:38 AM and 1:17 PM? 699 What is 71 minutes after 11:35 AM? 12:46 PM What is 120 minutes after 8:33 PM? 10:33 PM What is 597 minutes before 9:35 PM? 11:38 AM How many minutes are there between 1:44 PM and 2:04 PM? 20 What is 553 minutes after 9:13 AM? 6:26 PM What is 468 minutes before 7:18 PM? 11:30 AM What is 255 minutes before 7:36 AM? 3:21 AM How many minutes are there between 9:00 PM and 11:16 PM? 136 What is 264 minutes before 7:37 AM? 3:13 AM How many minutes are there between 10:45 PM and 12:15 AM? 90 How many minutes are there between 7:40 PM and 8:16 PM? 36 What is 388 minutes before 4:29 PM? 10:01 AM How many minutes are there between 1:09 AM and 9:53 AM? 524 What is 160 minutes before 7:53 PM? 5:13 PM What is 501 minutes before 11:36 PM? 3:15 PM How many minutes are there between 3:42 AM and 10:30 AM? 408 How many minutes are there between 6:36 AM and 4:56 PM? 620 What is 165 minutes before 2:51 PM? 12:06 PM What is 111 minutes after 12:45 AM? 2:36 AM How many minutes are there between 2:44 PM and 8:50 PM? 366 How many minutes are there between 7:44 AM and 4:32 PM? 528 What is 254 minutes before 12:12 AM? 7:58 PM What is 688 minutes after 12:21 PM? 11:49 PM How many minutes are there between 5:32 AM and 5:14 PM? 702 What is 456 minutes before 6:31 PM? 10:55 AM How many minutes are there between 5:13 PM and 3:59 AM? 646 How many minutes are there between 6:12 AM and 10:58 AM? 286 What is 204 minutes after 4:21 PM? 7:45 PM What is 302 minutes after 2:27 AM? 7:29 AM What is 172 minutes after 11:37 PM? 2:29 AM How many minutes are there between 4:30 PM and 8:27 PM? 237 What is 321 minutes after 7:04 AM? 12:25 PM How many minutes are there between 4:47 PM and 7:39 PM? 172 How many minutes are there between 5:26 AM and 6:16 AM? 50 What is 680 minutes after 10:56 AM? 10:16 PM How many minutes are there between 3:14 PM and 5:36 PM? 142 How many minutes are there between 12:25 AM and 12:24 PM? 719 How many minutes are there between 2:01 AM and 6:52 AM? 291 How many minutes are there between 7:32 AM and 3:25 PM? 473 What is 185 minutes before 8:38 PM? 5:33 PM What is 128 minutes before 5:53 PM? 3:45 PM What is 689 minutes after 8:37 PM? 8:06 AM What is 667 minutes after 8:31 PM? 7:38 AM What is 661 minutes after 11:46 AM? 10:47 PM How many minutes are there between 11:09 PM and 7:43 AM? 514 What is 366 minutes after 5:05 PM? 11:11 PM How many minutes are there between 2:19 PM and 9:53 PM? 454 How many minutes are there between 5:42 PM and 8:46 PM? 184 How many minutes are there between 9:31 PM and 4:05 AM? 394 How many minutes are there between 12:45 PM and 2:35 PM? 110 How many minutes are there between 8:16 PM and 6:50 AM? 634 How many minutes are there between 11:17 PM and 5:29 AM? 372 What is 120 minutes before 7:51 PM? 5:51 PM How many minutes are there between 6:37 PM and 8:32 PM? 115 How many minutes are there between 9:33 PM and 3:15 AM? 342 What is 197 minutes before 10:09 AM? 6:52 AM How many minutes are there between 12:57 PM and 3:36 PM? 159 How many minutes are there between 8:41 PM and 5:58 AM? 557 What is 117 minutes before 9:43 AM? 7:46 AM What is 332 minutes before 3:58 AM? 10:26 PM What is 353 minutes before 8:30 AM? 2:37 AM What is 331 minutes before 3:43 PM? 10:12 AM How many minutes are there between 5:18 PM and 10:18 PM? 300 How many minutes are there between 7:22 AM and 5:50 PM? 628 What is 705 minutes after 7:09 AM? 6:54 PM What is 647 minutes after 9:25 PM? 8:12 AM What is 419 minutes before 2:01 PM? 7:02 AM How many minutes are there between 9:59 PM and 8:42 AM? 643 How many minutes are there between 10:49 AM and 4:13 PM? 324 What is 462 minutes after 2:48 PM? 10:30 PM What is 576 minutes after 12:40 PM? 10:16 PM How many minutes are there between 10:10 AM and 11:46 AM? 96 How many minutes are there between 3:21 AM and 9:49 AM? 388 What is 528 minutes after 11:23 AM? 8:11 PM What is 591 minutes after 6:21 PM? 4:12 AM What is 423 minutes after 2:46 AM? 9:49 AM How many minutes are there between 10:54 AM and 11:50 AM? 56 How many minutes are there between 11:16 AM and 2:31 PM? 195 How many minutes are there between 3:01 PM and 4:00 PM? 59 How many minutes are there between 7:46 PM and 9:36 PM? 110 How many minutes are there between 6:41 PM and 11:58 PM? 317 What is 432 minutes after 4:30 AM? 11:42 AM What is 235 minutes after 2:57 AM? 6:52 AM What is 597 minutes before 8:04 PM? 10:07 AM What is 505 minutes after 2:34 PM? 10:59 PM What is 98 minutes before 6:59 PM? 5:21 PM What is 616 minutes after 3:13 AM? 1:29 PM What is 547 minutes before 12:31 AM? 3:24 PM How many minutes are there between 1:48 PM and 4:13 PM? 145 What is 102 minutes after 7:20 AM? 9:02 AM What is 406 minutes after 12:11 PM? 6:57 PM How many minutes are there between 7:40 AM and 9:37 AM? 117 What is 186 minutes before 1:03 PM? 9:57 AM How many minutes are there between 10:16 PM and 8:52 AM? 636 How many minutes are there between 7:41 PM and 3:27 AM? 466 What is 20 minutes before 2:21 AM? 2:01 AM How man
{ "pile_set_name": "DM Mathematics" }
is the highest common divisor of h and o? 11 Let m(a) = -104*a**3 - a. Suppose 13 = -3*h - 2*j, 3*h - 5*h - 14 = -4*j. Let i = h - -4. Let f be m(i). What is the highest common divisor of f and 21? 21 Let g(u) = 2*u**2 - 7*u - 15. Let b be g(-3). Let l = b - -97. Calculate the highest common divisor of l and 11. 11 Let t = -5 - -71. Suppose 6*d = t + 204. Let q(r) = r**3 - 8*r**2 + 9*r + 4. Let b be q(7). Calculate the greatest common factor of b and d. 9 Let b(n) = 4*n + 2. Let s be b(4). Let m = s + -13. Suppose 3*o - 4*a - 28 = 0, -a - a = -m*o + 70. Calculate the highest common factor of o and 64. 16 Let m(o) = -o**3 + 11*o**2 - 2*o. Let z be m(6). Suppose r = -4*d - 3*r + 100, 2*d - 4*r = 26. Calculate the highest common factor of d and z. 21 Let b be (-18)/(-16)*6 + (-10)/(-40). Suppose 2*v - 2 = 0, -2*v = 5*t - 5*v - b. Calculate the highest common divisor of 1 and t. 1 Suppose 0 = -6*x + 11*x - 110. Suppose 5*k + 16 = 13*k. Calculate the highest common factor of k and x. 2 Let k(f) = -f**3 - 58*f**2 + 55*f - 204. Let u be k(-59). Calculate the highest common factor of 72 and u. 8 Suppose -4*q - 18 = -q. Let g(o) = 4*o + 30. Let v be g(q). What is the highest common divisor of v and 66? 6 Suppose l + 5*n - 10 = -31, 0 = 3*l - 4*n + 120. Let u be (-300)/l - (-1)/(-3). Suppose 5*c = 8 + 12. Calculate the highest common factor of u and c. 4 Suppose -w + 4*j = 3*w - 40, 5*j + 5 = 0. What is the highest common divisor of w and 225? 9 Let w be (-92)/28 + (-4)/(-14). Let k(r) = -6*r - 2. Let t be k(w). Let p be (-64)/(-24)*(-9)/(-6) + 0. What is the highest common divisor of t and p? 4 Suppose 50*h - 2915 = 685. Calculate the greatest common divisor of 135 and h. 9 Let w = -174 - -192. What is the greatest common divisor of 63 and w? 9 Let g be (-2296)/(-52) - (-1 - (-30)/26). What is the greatest common divisor of g and 11? 11 Let h = -258 - -307. Calculate the greatest common factor of h and 14. 7 Suppose 0 = -491*b + 484*b + 3948. Calculate the greatest common factor of b and 132. 12 Let i(d) = -3*d**2 + 74*d - 97. Let f be i(22). What is the greatest common divisor of 158 and f? 79 Let c = 1 + 23. Let b = 21 + 195. Calculate the greatest common factor of c and b. 24 Suppose -14*c + 15 = -19*c. Let k be (-8 - -18)*c/(-5). Let m be (-14)/35 - 32/(-5). What is the greatest common factor of k and m? 6 Let g = -257 - -261. Calculate the highest common divisor of g and 132. 4 Suppose -2*f + 4 = -z, 4*z - 4*f = -0*f. Suppose -15*c + 2133 = -357. Let k = -150 + c. Calculate the highest common factor of k and z. 4 Let n(r) = -r**2 - 1. Let k(s) = -61*s**2 + s + 5. Let f(t) = k(t) + 3*n(t). Let b be f(-1). Let j = b + 93. Calculate the greatest common factor of 75 and j. 15 Suppose -2*s = 2*x - 51 - 23, x - s = 35. Let q be 35/3 + 3/9. What is the highest common factor of q and x? 12 Let q be (-125 - -115)/((-4)/6). What is the highest common factor of 84 and q? 3 Let j be -3 + (1 - -3) + -2 + 89. Let x = j + -77. What is the highest common divisor of x and 209? 11 Let m(h) = 3*h**2 + 202. Let x be m(0). Calculate the highest common divisor of 2 and x. 2 Let j be 38 + (-4 - (-2)/2). Let a be j - (8/2)/(-2). Calculate the highest common divisor of a and 407. 37 Let f = 4 - -11. Let k = 44 - 37. Suppose -z + k = 4. Calculate the highest common divisor of z and f. 3 Suppose 0 = -2*v + 15 + 5. Let q(l) = -l**2 + 5*l + 4. Let o be q(5). Let b be o*-2*(-15)/v. What is the greatest common factor of 6 and b? 6 Let r(b) = -5*b - 24. Let p be r(-9). Let i = p + -2. Calculate the greatest common divisor of 209 and i. 19 Let d(x) = x**3 - 4*x**2 + 4*x - 37. Let z be d(7). What is the highest common divisor of 12 and z? 6 Let z(h) = -h**2 + 3*h - 6. Let g(w) = 2*w**2 - 4*w + 5. Let p(u) = 2*g(u) + 3*z(u). Let o be p(4). Calculate the highest common divisor of 8 and o. 4 Let d = -8 - -13. Suppose -d*h + 48 = -2*h. Suppose -2*r - 2*g + h = 0, -3*r - 2*r + 40 = -4*g. What is the highest common factor of r and 12? 4 Suppose -5*m + 120 = -5*f, 4*m - f = -0*m + 96. Let n = m + 66. Suppose -4*j = -3*j - n. What is the highest common divisor of j and 9? 9 Let b = 23 + -15. Let m = b - 5. Let u = -9 - -12. Calculate the highest common divisor of m and u. 3 Let y(q) = 4*q - 40. Let k be y(15). What is the greatest common divisor of 170 and k? 10 Let s(k) = -k**2 + 6*k + 66. Let o be s(9). What is the greatest common divisor of o and 6? 3 Let p(j) = -j**2 - 13*j + 2. Let g be p(-11). Suppose -3*a = -3*k + k - 566, 0 = -4*a + 4*k + 748. Calculate the highest common factor of a and g. 24 Suppose 140 = v + 3*v. What is the highest common factor of v and 175? 35 Let l(u) = -6 + u**2 + 32*u**3 + 7 + u - 41*u**3. Let f be l(-2). What is the greatest common factor of f and 50? 25 Suppose -2*z - 20 = -4*z. Let y be z + 2 - 4/1. What is the highest common divisor of y and 1? 1 Suppose -32*p + 3777 - 1409 = 0. Calculate the greatest common factor of 333 and p. 37 Let r = 2 + 0. Suppose 3*f + r*f - 10 = 0. Suppose -3*q + f*b + 17 = -3, 4*q + b = 34. What is the highest common factor of q and 2? 2 Let a = -1039 - -1591. Suppose -c + 7*d + 175 = 11*d, 3*d - a = -3*c. Calculate the highest common divisor of c and 17. 17 Let q be 168 + (-35)/5*-1. Calculate the greatest common divisor of q and 25. 25 Let l(a) = -15*a**3 - 4*a**2 - 2*a - 1. Let x be l(-3). Suppose -670 = -9*r + 860. Suppose 4*i = -i + r. What is the greatest common factor of x and i? 34 Let u(z) = 69*z**2 + 259*z + 11. Let a be u(-5). Calculate the greatest common factor of a and 18. 9 Suppose 29*w - 2241 = 25019. What is the greatest common divisor of 60 and w? 20 Suppose 3*n = 3*o + 219, -4*n + 374 = -2*o + 92. Suppose -f = 3*f - n. Suppose f + 7 = y. Calculate the greatest common divisor of y and 96. 24 Suppose -3*l = 3*s - 270, 175 = 2*l - 0*s + s. Suppose 13*u = 101 + 211. Let w be 3 - (-221)/7 - u/42. Calculate the highest common factor of w and l. 17 Let u(j) = -17*j + 75. Let w be u(-8). Suppose -17*m = -925 + w. Calculate the highest common factor of m and 14. 14 Let j = 33 + -38. Let f(s) = s**2 + s + 1. Let l be f(j). Calculate the greatest common factor of l and 42. 21 Suppose 50*j - 16520 = 36*j. What is the highest common divisor of j and 20? 20 Let o(w) = 2*w**3 + 5*w**2 + 10*w + 17. Let m be o(-2). What is the highest common divisor of m and 71? 1 Let q = -822 + 1206. What is the greatest common factor of 12 and q? 12 Suppose 0 = -6*z + 1 + 17. Suppose -10 = -4*q + 10. Let c = z + q. Calculate the greatest common factor of c and 72. 8 Suppose 0 = 2*b - 4*c - 44, 3*b = -0*b - 2*c + 98. Calculate the greatest common divisor of b and 825. 15 Let z = 101 + -65. Calculate the highest common divisor of 288 and z. 36 Suppose 678 = -2*p + 4*s + 1870, -3*s + 1797 = 3*p. Calculate the highest common factor of 26 and p. 26 Suppose 0 = -8*o + 1094 + 578. What is the greatest common factor of o and 38? 19 Let d(t) be the third derivative of 7*t**4/24 + 10*t**3/3 - 8*t**2. Let f be d(4). What is the greatest common divisor of f and 192? 48 Let s be 14162/14 + (-297)/(-693). Calculate the highest common factor of s and 184. 92 Let f = 675 + -648. Calculate the greatest common divisor of 171 and f. 9 Let h(s) = -s**2 + 11*s + 17. Let d be h(12). Let g = -5 - d. Let c be ((-20)/(-6))/(g/(-75)). Calculate the highest common divisor of 175 and c. 25 Let o be 18*(0 - (-6 + -2)). What is the highest common divisor of o and 96? 48 Let k(u) = -19*u - 3. Let l be k(-6). Let b be (-7)/42 - l/(-18). Calculate the greatest common factor of b and 30. 6 Let j = 23 + -3. Let p be 1*23 + (6 - -10) + -9. What is the greatest common factor of j and p? 10 Let i = -683 + 827. Calculate the greatest common divisor of 192 and i. 48 Suppose -3*q + 33 = s - 33, 27 = q + 2*s. Calculate the greatest common divisor of 861 and q. 21 Suppose b - 9 = 2*m, 0 = -4*m - 8. Suppose b*f + d + 22 - 73 = 0, 2*f - 3*d - 34 = 0. Calculate the greatest common divisor of 44 and f. 11 Let s(o) = 10*o - 79. Let f be s(8). Let u be f*(3 - -1 - -5 - -4). Suppose a - 1 + 17 = l, 3*l = -a + 36. What is the highest common divisor of u and l? 13 Let n be 1/(((-33)/(-456))/11 - 0). Calculate the greatest common factor of n and 2. 2 Let v be (1 + 3/(-5))/(2/320). Let
{ "pile_set_name": "DM Mathematics" }
23 Let r be (4/8)/(1/10). Suppose 5 = r*n - 10. List the prime factors of n - (-12 + 3) - 3. 3 Let s(f) = -f + 22. Suppose -o + 48 = -6*o - x, -4*x + 6 = -2*o. Let l = o - -18. List the prime factors of s(l). 13 Suppose -4*o + 107 = 27. Suppose 2*a = -2*a + 4*q - o, 4*a + 2*q = -38. List the prime factors of (-38)/a + 9/(-12). 2 List the prime factors of 4 + -2 + 17*5. 3, 29 Suppose -2*d = -4*d + 22. What are the prime factors of d? 11 Let m be 3*6/(-9)*4. Let r be (4/m)/(2/16). What are the prime factors of -2*3/r*2? 3 What are the prime factors of (5 - (-2)/(-1))*(62 - -1)? 3, 7 List the prime factors of (1*-26 - 3)*-2. 2, 29 Let p(k) = k**2 + k - 3. Let s be p(0). Let h(t) = -t - 1. List the prime factors of h(s). 2 Suppose 3*u - 237 + 6 = 0. What are the prime factors of u? 7, 11 Let d = -5 + 10. Let j(q) = q**3 - 5*q**2 + 6*q - 7. What are the prime factors of j(d)? 23 Let o be 4/2 + (1 - 1). Let f = 4 - 4. Suppose f = o*m + 2*p - 6, -5*m + 3*m + 5*p + 34 = 0. List the prime factors of m. 7 Suppose -3*t + 2*g = 7*g - 74, -5*g = -5. Let i = -16 + t. Suppose r - 2*l - 12 = -i*l, 3*l = 2*r + 2. What are the prime factors of r? 2 Suppose 0 = 4*x - 23 - 133. List the prime factors of x. 3, 13 Let u(z) = z**2 - 6*z + 4. Let p be u(6). Suppose 4*r - 25 = 5*i, -5*r = p*i - 0*i - 21. List the prime factors of r. 5 Let n = -236 - -145. Let s = 141 + n. What are the prime factors of s? 2, 5 Let j = 85 + -61. List the prime factors of j. 2, 3 Suppose -5*o + 616 = x, 3*o - 2*x + 0*x = 367. Suppose 5*c = 132 + o. List the prime factors of c. 3, 17 Let d = 57 + -9. Suppose -2*v = -d - 40. What are the prime factors of v? 2, 11 Suppose -5730 = 14*k - 29*k. What are the prime factors of k? 2, 191 Let a = 40 + 3. List the prime factors of a. 43 Suppose -4*i + 2*i + 2 = 0. Suppose 4*l + 11 + i = 2*f, -l - 2*f - 3 = 0. Let w(j) = j**3 + 2*j**2 - 5*j - 3. What are the prime factors of w(l)? 3 Let q = -7 - -1. Let a(z) = z + 14. What are the prime factors of a(q)? 2 Let x(i) be the first derivative of i**3/3 - 2*i**2 + 3*i + 1. Let o be x(-4). Suppose o = 5*w - 3*s - 34, -s = -2*w + 27. What are the prime factors of w? 2, 3 Suppose 27 - 2 = 5*l. Suppose 5*g - 172 = -4*a, -112 - 84 = -4*a + g. Suppose l*p = -5 + 30, -4*p = 2*m - a. List the prime factors of m. 2, 7 Suppose -3*w + 2*d + 10 = 0, 4*w - 2*d - 4 = -4*d. Suppose -3*t + w*b = -15, -t + 3*b - 7 + 19 = 0. What are the prime factors of t? 3 Suppose 4*s - 4*q - 188 = 0, 0*q + 3*q - 123 = -3*s. What are the prime factors of s? 2, 11 Let k = 48 - 17. List the prime factors of k. 31 Let x be 2 + (-1 - (-30)/3). Let q be x + -1 - (0 + 0). List the prime factors of (0 - 1) + 1 + q. 2, 5 Let m = -5 - -9. Let g = m - 6. Let l = g + 10. What are the prime factors of l? 2 Let c = 19 + -3. List the prime factors of c. 2 Let x(h) = -12*h**2 - h. Let z be x(-2). Let k = -7 - z. What are the prime factors of k? 3, 13 List the prime factors of -38*(-1)/((-8)/(-12)). 3, 19 Let n be -8 + (-4)/((-8)/6). Let p be (-9)/n + 4/20. List the prime factors of 3 + (6/3)/p. 2 Let n(f) = 33*f + 1. Let a be n(1). Let u = -19 + a. What are the prime factors of (-16)/20*u/(-2)? 2, 3 Let s = -12 + 17. Suppose 28 = s*p - p. List the prime factors of p. 7 Suppose 4*q + q - 75 = 0. List the prime factors of q. 3, 5 List the prime factors of -6 - -5 - 55/(-1). 2, 3 Let q(t) = -29*t**3. What are the prime factors of q(-1)? 29 Suppose 3*l = 10 + 2. Suppose -4*i + 32 = l*p - 0*i, -2*p + 5*i + 2 = 0. What are the prime factors of p? 2, 3 Suppose -11*y + 3*i + 565 = -7*y, i = 3*y - 425. List the prime factors of y. 2, 71 Suppose -4*z + 2*k - 4*k = 14, 0 = z - 4*k - 10. Suppose -3*q + 3*c + 39 = 0, 2*c = -3*q - 0*c + 14. Let n = q + z. List the prime factors of n. 2, 3 Suppose -219 = -4*t - 0*t - 5*l, 0 = 4*t - 4*l - 192. List the prime factors of t. 3, 17 Suppose 0 = 5*u - 23 + 3. Let b = 27 - u. List the prime factors of b. 23 Suppose -a = -0*a - 38. List the prime factors of a. 2, 19 Let f(y) = -y**3 - 4*y**2 - 5*y + 7. What are the prime factors of f(-5)? 3, 19 Suppose 3*g = -0*g. Let u be g/((-2 - -5)/(-3)). Suppose 5*i + u*i = 45. List the prime factors of i. 3 Let t(v) = v - 58*v**2 - v + 63*v**2. What are the prime factors of t(2)? 2, 5 Let n(c) = -9*c + 1. Let v(q) = 5*q + 2. Let a be v(-1). List the prime factors of n(a). 2, 7 List the prime factors of (10 - -2)*(-4)/(-12). 2 Let h(o) = -10*o**2 + 13*o. Let r(g) = 5*g**2 - 7*g. Let v(q) = -3*h(q) - 5*r(q). List the prime factors of v(3). 3, 11 Suppose -4*n + 39 = -109. List the prime factors of n. 37 Suppose 13 + 7 = 2*x. What are the prime factors of x? 2, 5 Let m be 1 - 7/((-21)/6). Let u = m - -13. List the prime factors of u. 2 Let y(x) = 6*x - 1. What are the prime factors of y(5)? 29 Let v = 7 - 5. Suppose v*z - 65 = -3*z. What are the prime factors of z? 13 Let w(q) = q**3 + 2*q**2 + 3*q + 2. Let k be 0 - (4 - (0 + 2)). Let l be w(k). Let h = l - -14. What are the prime factors of h? 2, 5 Suppose 2*w - 58 = 12. Let v = w - 24. List the prime factors of v. 11 Suppose 0 = -3*t + t + 6. Suppose -t*o + 7 = -5*u - 25, -2*o + 22 = -3*u. What are the prime factors of o? 2, 7 Suppose 4*b = 4, b - 107 = -5*d - b. Suppose 5*v = -4*g + 17 + 17, 3*g - d = -3*v. Suppose -5*k + 2*l = -33, k - 2 = -l + v. List the prime factors of k. 7 Suppose 19 - 7 = 4*x. Let m(u) = 1 - 5*u + 2*u - x + 5. List the prime factors of m(-4). 3, 5 Suppose 5*i - 191 = -3*f, f - i + 266 = 5*f. What are the prime factors of f? 67 Let d = -53 - -81. List the prime factors of d. 2, 7 Let j(m) = -m**3 + 14*m**2 - 7*m - 22. List the prime factors of j(11). 2, 3, 11 Suppose 0 = -0*i + i - 4*t + 8, 5*i + 4*t - 32 = 0. Suppose -77 = -i*q - 29. What are the prime factors of q? 2, 3 Let b(a) = a + 9. Let t be b(-10). Let d = t + 3. List the prime factors of d. 2 Let h be (-5 - 8/(-2)) + -25. Let m = h - -61. List the prime factors of m. 5, 7 Let o = 15 + 13. List the prime factors of o. 2, 7 Suppose 0 = -9*i + 4*i. Suppose i = 2*k + 3*k + 20. Let n = k + 11. List the prime factors of n. 7 Suppose -42 = -3*d + j, -2*d - 2*d + j = -55. What are the prime factors of d? 13 Suppose -132 = -5*d + l, 5 - 2 = l. What are the prime factors of d? 3 Suppose m + 117 = 4*t, -5*t + 3*t + 66 = 2*m. List the prime factors of t. 2, 3, 5 Let u = 0 + -3. Let t(o) = -o**3 + o**2 + 2. Let z be t(0). What are the prime factors of 4/3 - z/u? 2 Suppose 0 = -r + 67 + 65. What are the prime factors of r? 2, 3, 11 Suppose -2*b + 3*a = -0 + 143, 2*a = 10. Let j = b - -105. Suppose 0 = t - 4*z - 7, -j = 3*t - 7*t + 3*z. List the prime factors of t. 11 Suppose -f + 720 = 4*f + 2*t, -144 = -f + 2*t. What are the prime factors of f? 2, 3 Let h be (0 + -9)*6/(-9). Suppose h*k - 20 = k, -5*j = -4*k - 29. What are the prime factors of j? 3 List the prime factors of (-2 + 6)*(-2)/(-4). 2 Let y(z) = -10*z**3 + 1. What are the prime factors of y(-1)? 11 List the prime factors of (-645)/(-20)*(-16)/(-6)*2. 2, 43 Suppose 2*i - 4*n = -2*i - 12, 2*n = 5*i + 12. Let k be i - (-2 + -1 + 5). Let x(l) = -l**2 - 6*l - 5. List the prime factors of x(k). 3 Let i = 57 + -25. What are the prime factors of i? 2 Let y(x) = x + 3. Let u be y(4). Suppose -5*k + 8 = -u. Suppose k*c + 66 = 4*i - 0*i, -c - 70 = -4*i. List the prime factors of i. 2, 3 Let r be (-2)/(-3 + 1)*47. Suppose -3*g - y = -3 - r, -2*y = 5*g - 84. What are the prime factors of g? 2 Let a(j) = j**2 + 5*j - 5. List the prime factors of a(10). 5, 29 Let a = 652 - 331. What are the prime factors of a? 3, 107 Let a(i) = i**3 + 4*i**2 - 6*i + 2. Let k be a(-5). Let j(m) = -m + 19. Let f be j(0). Suppose -k = b - f. What are the prime factors of b? 2, 3 Let o(s) = 6*s. List the prime factors of o(5). 2, 3, 5 Suppose -v = -5*g - 12, v - 3 + 1 = -5*g. Let q be 2/(-7) + (-40)/v. What are the prime factors of (q/4)/((-1)/6)? 3 Let j = 208 + -93. What are the prime factors of j? 5, 23 Let c(z) = -2. Let a(w) = -2*w - 20. Let r(x) = x**2 + 5*x + 6. Let j be r(-4). Let q(v) = j*a(v) - 22*c(v). What are the prime factors of q(-4)? 2, 5 Let k(w) = -w**3 + 13*w**2 + 15*w - 4. What are the prime factors of k(14)? 2, 5 Suppose 3*f + y + 2*y = 48, 32 = 2*f - 2*y. What are the prime factors of f? 2 Let x = 44 + -24. What ar
{ "pile_set_name": "DM Mathematics" }
t l be -4*15/6*106/(-4). Let j = -1069/4 + l. Which is the third smallest value? (a) -0.3 (b) j (c) f a Let l = 25.1 + -25.5. Which is the fourth biggest value? (a) -2/7 (b) 0.045 (c) -3 (d) l c Let h = 1001 - 1003. What is the fourth smallest value in 5, 1, 0.3, h, 8? 5 Suppose 13*f - 30 = 11*f. Suppose 0*q - f*q = -75. Let y = -116 + 352/3. Which is the fourth biggest value? (a) y (b) -1 (c) 0.5 (d) q b Let j = 10 - 11. Let g(s) = s**3 - 37*s**2 + 51*s + 668. Let l be g(35). Let i = -17 + 10. What is the second biggest value in l, i, j? j Let y = 5.3 + -5. Let s be (2/(-30) - (-16 + 2908/180))*-18. Which is the second smallest value? (a) -0.022 (b) s (c) y c Let i(m) = m - 7. Let g be i(5). Let x = 29 - 57/2. Let w = 5.441 + -10.441. Which is the second smallest value? (a) w (b) g (c) x b Let i = -0.2 + 0.6. Let t be (-87)/(-144) + (-15 - -12). Let j = -31/12 - t. Which is the second biggest value? (a) 5 (b) i (c) j b Let k = 37.53 - 37.23. Which is the third biggest value? (a) k (b) 2/3 (c) 8 (d) -2 a Let p = -33 - -33.2. Let v be ((-61)/(-122))/((-9)/4). Which is the third smallest value? (a) v (b) p (c) -25 (d) -0.1 d Let p = -81 - -81.5. Let t = 7.88 - 7.68. Let y = 0.06 - 7.06. Which is the third biggest value? (a) t (b) p (c) y (d) -1/4 d Let u = -61 + 30. Let z be -3 + (-2*34)/(u + 8). Let v = z - 41/115. Which is the second smallest value? (a) -4 (b) 6/11 (c) v (d) 1/4 c Let q be -3 - (-2*2/26 + (-87 - -84)). Which is the third biggest value? (a) q (b) -2 (c) -58/7 c Suppose -42*j + 6 = -39*j. Let u = 163 - 167. Which is the third biggest value? (a) j (b) u (c) 16 (d) 0 d Let d = -25.057 + 0.057. Let x = d - -29. Let p be 6/(-45) - (-456)/2070. Which is the biggest value? (a) x (b) p (c) -1/2 a Let n(f) = -f**3 - 24*f**2 + 82*f + 23. Let l be n(-27). Let v be (-5)/((-200)/16)*(-5)/l. Which is the biggest value? (a) 11/3 (b) -0.4 (c) v a Suppose 0*k - 3*k + 18 = 0. Let g = -10 + k. Let u = -0.11 + 0.01. Which is the second biggest value? (a) u (b) 0.2 (c) g (d) -2/5 a Let m be 0 + (-42)/6 + 7 + -2 + 0. Which is the second biggest value? (a) -3 (b) -0.4 (c) -5 (d) -345 (e) m e Let x = 0.04616 - -0.02884. Which is the fifth smallest value? (a) 5 (b) 0.5 (c) 2/11 (d) x (e) 3 a Let d = -0.00101 - -5.00101. What is the fifth smallest value in 0.3, 0, d, -6/7, -4? d Let p = -10798 + 10808. Which is the third biggest value? (a) p (b) 53 (c) 5 c Let a = 0.696 - -564.304. Let f = a - 564.9. Let j = 0.06 - 0.1. What is the fourth biggest value in 3, 2/5, f, j? j Let m = 7904.11 + -7904. Which is the third smallest value? (a) -5 (b) -0.18 (c) m c Let v = -3.1 + 5.1. Let h be (-4)/(-14) + (-1408)/(-168) + 6. Let i = h - 14. Which is the second biggest value? (a) v (b) 0.06 (c) i c Let g = 400.62 - 631.9. Let d = g + 231. Which is the biggest value? (a) -0.3 (b) d (c) -2 b Let u = 5.417 + 9.583. What is the second biggest value in 7, -0.04, u? 7 Let y = -6805 + 6800. Which is the second smallest value? (a) -25/47 (b) -0.3 (c) y a Let g be (-96)/448*(-12)/(-9). Let w = -4 + 2.4. Let y = w - -1.9. What is the fourth smallest value in -5, -4/3, g, y? y Let u be 50/(((-8 - -1) + 5)*1). What is the smallest value in 13, -1/3, 0.1, u? u Suppose -3*i + 1251 = 495. Let g be (-25)/(-68) + (-63)/i. What is the third smallest value in g, 2, 6? 6 Let s = 0.045 - -252.955. Let k = s + -223. What is the third smallest value in 1, 5, k, -1? 5 Let s = -1811.4 + 1819.4. What is the third biggest value in s, 105, -3? -3 Let k = -24.5962 - 0.3038. What is the second biggest value in 2, 0.1, k? 0.1 Let q = 5/2 - 4. Let m be 636/(-120)*10/(-42). Let n = 1/14 + m. What is the second smallest value in q, n, -1, -2? q Let i(n) = 122*n - 4. Let x be i(-3). Let b be (95/(-125) + 1)/(2/x). Let r = b + 44. What is the second biggest value in -2/3, 2, r? r Let g = 2 - 7. Let x = 424 - 404.3. Let k = 20.2 - x. What is the smallest value in -2, 3/7, k, g? g Let i = -5222 - -5221.9. What is the second biggest value in i, -30/17, 5/2? i Let k = -0.022 - -0.477. Let b = 0.055 - k. Let a be 28/(-8) + (-6)/4. What is the second biggest value in b, -4, a? -4 Let w = 15 + -89/6. Let i = 315.4 - 256. Let x = i - 58.9. Which is the biggest value? (a) 2/7 (b) x (c) w (d) -3 b Let h = 126.07738 + -0.07738. What is the fourth biggest value in 4, -5, 0.04, 1, h? 0.04 Let l = 1266 - 1298. Which is the biggest value? (a) -0.05 (b) -5 (c) l (d) 1/6 d Let w be 15/165 - 1/11. Suppose -3*u = 3*m - 6, w = -m - 3*m - u + 11. Which is the second smallest value? (a) 1 (b) -4 (c) m (d) -2 d Let y be 182/28 - ((-108)/(-24) + -3). Let v = -17.4 + 15. Let g = -0.6 + v. Which is the third smallest value? (a) y (b) 0 (c) g a Let v = 40763/7 - 5823. Let o = 8 - 13. Which is the smallest value? (a) 14 (b) v (c) o c Let q be 10*(12/8*(-21)/(-9) + -4). Which is the fourth smallest value? (a) -1 (b) -1.3 (c) 0.09 (d) q c Suppose 0 = -3*p + 2*o - 7, -p = o - 29 + 23. What is the second biggest value in p, -5, 1.6, 0.4? p Let j be (((-12)/5)/2)/(860/100). Let p be ((-3)/(-4))/((-6)/4). Which is the smallest value? (a) j (b) -5 (c) -4 (d) p b Let h = -29468 - -29464. What is the fourth smallest value in -2/13, h, 2, 0.02, -2? 0.02 Let q = -323.2 - -350. Let d = q - 33.8. What is the third smallest value in -2/13, -2/7, d? -2/13 Let m = 140 + -147. Let f be 7 + m/14*14. What is the second biggest value in f, 2, 6.3? 2 Let z be -2*-1*1/(-2). Let g = -10.25 + 8.25. Which is the biggest value? (a) -0.4 (b) g (c) -0.1 (d) z c Let d be (-4)/(-18) + (-943)/720. Let r = -18/55 + -317/880. Let z = d - r. Which is the second biggest value? (a) z (b) 2/9 (c) -2 a Suppose 0 = 2*j - 5*m + 2, 3*j + 5*m - 9*m = 4. Let q = 1.3 - 0.6. What is the second biggest value in -4, q, -0.1, j? q Let c = -4.6 - -53.6. Let f = 54 - c. What is the second biggest value in 13, f, -2/5, -0.1? f Let d = 119 + -166. Suppose 0 = 16*t - 86 - 698. Let h = t + d. What is the biggest value in h, 5, -0.2? 5 Let k = 0.054 - -359.946. Let p = k - 361.47. Let i = -0.53 + p. Which is the smallest value? (a) i (b) 0 (c) -3 (d) 0.5 c Suppose -k + 2*p - 218 = 0, 4*p + p - 439 = 2*k. Let i = 1486/7 + k. What is the third biggest value in 0.2, i, 1/3? 0.2 Let l be (-307)/921*(-12)/(-10). What is the second smallest value in 0.4, -12/23, l, -3? -12/23 Let p = 0.1 + 0.4. Suppose -4*u + 86 = 2*i - 282, 182 = i + u. Let l be 16/i*20 + -2. Which is the biggest value? (a) -1/8 (b) p (c) -5 (d) l b Suppose -21*o = -23*o + 2, t - 20 = 5*o. Let c = 31 - 61/2. What is the third biggest value in 2/19, t, c? 2/19 Suppose 0 = 140*i - 132*i - 16. Suppose -i*f - 1 = 7, -2*f + 7 = 3*x. What is the second biggest value in -0.3, -2/27, x? -2/27 Suppose 48*o - 33 = 111. Let f(w) = w**3 + 5*w**2 - 9*w - 9. Let g be f(-6). Let m be (6/(-9))/(2/g). Which is the smallest value? (a) -2 (b) 4 (c) o (d) m d Let j = 228.01 - 227.91. Which is the fourth biggest value? (a) 16 (b) 31/3 (c) 1/6 (d) j (e) -0.2 d Let l = 96.38 + -97.38. What is the third biggest value in l, -2/3, -1/227? l Let g = 415 + -5393/13. Let s = -6 - 2. Let z = -7.5 - s. What is the biggest value in z, 4, g? 4 Suppose 0 = 5*d - d + 16. Let n be d*(-3)/(-48) + 0. What is the second smallest value in n, 0.5, 1/4, -0.1? -0.1 Let p(k) = -36*k. Let l be p(5). Let q be 30/l + 22/(-12). Let x be 5/17*(4/(-5))/2. Which is the third biggest value? (a) x (b) 0.4 (c) q (d) -0.3 d Let y(t) = -63*t - 310. Let k be y(-5). What is the third biggest value in -3, k, 164, 0.5? 0.5 Let o = -0.2 + 3.2. Let m be -223 + 185 + -29*1. What is the biggest value in 0, o, m? o Let f = -14.89 - -15.29. Which is the third smallest value? (a) 0.48 (b) -6 (c) f a Suppose 12*v = -m + 11*v, 4*m - 5*v + 9 = 0. Let g be 5 + -6 + 24/(-42) + 1. Which is the biggest value? (a) g (b) m (c) -2 a Let u = -2.4 - -1.9. Let g = -2.43 + -0.28. Let b = g + -1.29. What is the biggest value in 5/3, -1/4, b, u? 5/3 Let r = 149 + 98. Let y = r + -259. What is the third smallest value in -5, y, -0.5? -0.5 Let k = 0.341 + -1.341. Let s = 25 - 43. Let o = s + 19. Which is the second smallest value? (a) 2 (b) o (c) 2/11 (d) k
{ "pile_set_name": "DM Mathematics" }
he prime factors of 2 - ((-6)/(-4))/(42/(-89880))? 2, 11, 73 Let h(p) = -2*p + 1. Let m be h(5). Let t(s) be the first derivative of -s**3/3 - 9*s**2/2 + 3*s - 4. What are the prime factors of t(m)? 3 Let a = 22 - 53. Let t = -21 - a. What are the prime factors of t? 2, 5 Let b(k) = k + 1. Let h be b(-4). Let v(t) = -38*t - 15. List the prime factors of v(h). 3, 11 Let n be 8/(-10) + (-52)/10. Let v(z) = -z**2 - z + 11. Let b be v(n). Let d(h) = -h**2 - 21*h + 4. What are the prime factors of d(b)? 2, 3, 7 Let c(q) = -q**2 - 16*q - 8. Suppose 0 = 3*u - 3*i - 11 + 68, 0 = -5*i + 25. List the prime factors of c(u). 2, 5 Let n = 734 - 415. What are the prime factors of n? 11, 29 Let x(d) = -3*d + 0*d + 0*d + 2*d. Let h be x(-6). List the prime factors of 4*7 + (h - 5). 29 Let x be (0 + 3)*5/3. Let o be (0 + -4)*1711/(-116). Suppose 0 = a + 2 - x, m = a + o. List the prime factors of m. 2, 31 Suppose 8*c = -u + 3*c + 22, 3*u + 2*c - 79 = 0. Let f = 90 + -72. Suppose -v = -t + 4*v + f, -4*v = -5*t + u. List the prime factors of t. 3 Let k(q) = q**2 - 8*q + 3. Let y be k(8). Let s be 106 + y/(-6)*-6. What are the prime factors of s/4 - (-4)/(-16)? 3 Suppose 646 = 3*x - 2*g, -g - 833 = -4*x + 30. Let u = x + -43. List the prime factors of u. 173 Let q(m) = m**2 - 2. Let g be q(5). Let a be (12/(-18))/(8/48). Let z = g - a. List the prime factors of z. 3 Let w be ((-1)/(-3))/(5/(-6) - -1). Suppose w*y + 4*y - 1020 = 0. What are the prime factors of y? 2, 5, 17 Suppose 5*i - 4*h = 228, -4*h + 59 = i + 23. Let v = i - 37. List the prime factors of v. 7 Let v(m) = m**3 + 37*m**2 + 24*m - 39. What are the prime factors of v(-36)? 3, 131 Let z(h) = 6*h**2 + 5 + 6*h + 3*h**2 - 7 - h**2. Let f be z(4). Suppose 2*j - j - 2*t = 39, -f = -4*j + 5*t. List the prime factors of j. 5, 7 Let z(v) = -v**2 - 9*v + 13. Let i be z(-10). Let x = i + -8. List the prime factors of 2/6*x*-15. 5 Let l(r) = 18*r - 5. Suppose -8 + 2 = -2*y. Let m be (-1)/y*-9 + -1. List the prime factors of l(m). 31 Let d(j) = j**2 + 7*j + 6. Let z be d(-4). Let r be 9/(-12)*1*-24. Let w = z + r. What are the prime factors of w? 2, 3 Suppose -2*s + 202 = 4*x, 3*s = 4*x + x + 270. Let o = s + -37. What are the prime factors of o? 2, 29 Let o(r) = -3*r. Let b(f) = -4*f. Let p(a) = 4*b(a) - 5*o(a). Let j be p(-2). Let g = j + 1. List the prime factors of g. 3 Let q = 0 - -3. Suppose 0*v = -v - q*n + 30, 0 = -4*v - 4*n + 112. Suppose -119 = -4*w - v. What are the prime factors of w? 23 Let g(w) be the first derivative of 9*w**2 + 2*w + 30. Suppose 6*i = 2*i + 4. What are the prime factors of g(i)? 2, 5 Suppose 0 = -j - v + 421 + 37, 4*v = j - 478. List the prime factors of j. 2, 3, 7, 11 Let o be 2742*(-4 - (-10)/2). What are the prime factors of o/14 + (-6)/(-42)? 2, 7 What are the prime factors of 7/(7/(-11)) + 3258? 17, 191 Let n = 10 + -8. Suppose -n*l = 2*l - 12. List the prime factors of l. 3 Suppose 6*f = -4*a + 2*f + 464, 4*f + 126 = a. Suppose 0 = 5*i - 6*i + a. What are the prime factors of i? 2, 59 Suppose 6*o - 2*o = 0. List the prime factors of -4 + 309 - (o - 5). 2, 5, 31 Let f(t) = -t**2 + 18*t - 8. Let d be f(16). Suppose 3*s + 30 = 3*i - 0*i, -2*i = 2*s + d. Let m = 71 + s. What are the prime factors of m? 2, 3, 5 Let g = 6 - -5. What are the prime factors of g/(-22)*(1*-2 - 88)? 3, 5 Let j = 106 - 66. List the prime factors of 2 + j/2 + 3. 5 Suppose b + 0*b + 3*p + 6 = 0, -2*b + 23 = -p. List the prime factors of b/(-6) + (-201)/(-6). 2 List the prime factors of (7250/4)/(-5)*(-22 - -20). 5, 29 List the prime factors of 93 - (2/(-4) - 0)*-4. 7, 13 Let j be (2 + -1)/((-5)/(-25)). Suppose -f - 3*z + 55 = -2*z, 2*z = j*f - 240. List the prime factors of f. 2, 5 Let r = -18 + 1342. What are the prime factors of r? 2, 331 Let t(b) = b + 16. Let f be t(-6). Suppose a - 37 = f. Suppose 0 = 3*v - 4*v + a. List the prime factors of v. 47 Let s(t) = -67*t - 11. Let v be s(5). Let d = -208 - v. List the prime factors of d. 2, 3, 23 List the prime factors of ((-438)/(-4))/((-33)/(-286)). 13, 73 Let o = -18 + 23. Suppose o*s - 4*s = 0. Suppose 4*a + a - 325 = s. What are the prime factors of a? 5, 13 Suppose 2*u - 4036 = -u + 4*t, 3*t = -2*u + 2719. List the prime factors of u. 2, 13 Let t = -20 + 17. Let f be (t/12)/(4/(-32)). Suppose w = f*z - 2*w - 122, -z + 5*w + 75 = 0. List the prime factors of z. 5, 11 Let t(f) = -f**2 - 2*f - 1. Let l(s) = -s**3 - 8*s**2 - 6*s + 1. Let z(k) = l(k) - 4*t(k). Suppose 3*a + 9 + 6 = 0. List the prime factors of z(a). 2, 5 What are the prime factors of (447*10)/6 - (1 - -1)? 743 Suppose 7*w - 3*w - 12 = 0, -4*q = 4*w + 408. Let r = 168 + q. Suppose -10 = -5*v, 0 = 4*u - u + 3*v - r. What are the prime factors of u? 19 Let p(f) = -3*f**3 + 2*f**2 - 1. Let h be p(1). Let k(o) = -o + 1. Let w be k(h). Suppose w*y + 7 = 46. What are the prime factors of y? 13 Let i be (0 - 3 - -2) + -1. Let b be (-3 - -3)/(-3 - i). Suppose 2*f - 53 + 13 = b. List the prime factors of f. 2, 5 Let y be 26 - (-1)/(-1) - 0. Suppose 2*n = 73 - y. Let t = n - 7. What are the prime factors of t? 17 Let f(k) = -60*k + 51. List the prime factors of f(-1). 3, 37 Let s(y) = -37*y - 137. What are the prime factors of s(-5)? 2, 3 Let d be (14/(-24) - (-4)/16)*-885. Let o = -174 + d. List the prime factors of o. 11 Let u = -2092 + 3001. What are the prime factors of u? 3, 101 Let d(y) = y - 6. Let p be d(6). Suppose -4*l + 5*x = -72, 59 = 3*l - 4*x - x. Let u = p + l. What are the prime factors of u? 13 Suppose 15*q - 214 - 1541 = 0. Let l = q - 99. List the prime factors of l. 2, 3 List the prime factors of ((-10)/(-4) + -3)/((-1)/3142). 1571 Let a be (0 - 1)*(-18 + -483). Suppose -5*k + a = -s + 4*s, -s = 2*k - 201. What are the prime factors of k? 2, 3, 17 Suppose 0 = 20*i - 5 - 35. List the prime factors of i. 2 Suppose -7404 = -2*x - 2*q, -3*q + 5313 + 13199 = 5*x. List the prime factors of x. 7, 23 Let t = 57 - -13. Suppose 3*w - 5*c - t = 0, 4*c - c + 30 = w. What are the prime factors of w? 3, 5 Let g be (6/(-4))/(3/(-40)). Suppose 1 + 3 = 2*t + v, 0 = 3*t + 5*v - g. Suppose t = 2*x - 2*l - 10, -2*x + 5*l - l = 0. What are the prime factors of x? 2, 5 Suppose 29946 = 34*u - 11*u. What are the prime factors of u? 2, 3, 7, 31 Suppose 0 = -b + 2*o + 2*o + 10, -b = 3*o + 11. Let s = b - -6. Suppose -5*p = -2*k + 58, 3*k - s*p - 129 + 28 = 0. What are the prime factors of k? 3, 13 Let o(c) = 3*c - 38. Let v be o(14). Suppose 5*d = 2*k - 135, v*k + d - 259 = -0*d. List the prime factors of k. 5, 13 Let n = -79 - -82. Suppose n*a + 49 = 2*l - 0*a, 4*a + 96 = 4*l. What are the prime factors of l? 23 Let g = 90 + -87. Suppose 0 = 5*r + 4*o - 35, 0 = 4*r - 0*o - 3*o + 3. Suppose g*y - 2*s - 44 = 0, 2*s - s = r*y - 46. List the prime factors of y. 2 Suppose 2*d = -20 - 4. What are the prime factors of (-1)/(-3) - 188/d? 2 Let t(a) = -a**3 + 4*a**2 - 2*a + 8. Let d be t(6). Let v be d/8*(-8)/1. Let o = -43 + v. List the prime factors of o. 3, 11 Suppose -28*x = -10*x - 74520. What are the prime factors of x? 2, 3, 5, 23 Suppose 2*l - 722 = -2*m + 1704, 0 = -3*l - m + 3647. What are the prime factors of l? 1217 Let z(w) = 3 - 3*w + w**2 + 1 - 12. List the prime factors of z(-10). 2, 61 Let i(x) = 468*x**2 + 5*x + 9. What are the prime factors of i(-2)? 1871 Suppose -3*n = -2*r - 135, -2*n - 185 = -6*n + r. Suppose n + 97 = 4*a. What are the prime factors of a? 2, 3 List the prime factors of (5 - -461) + (-5)/(-1). 3, 157 Let x(u) = -4*u**3 - u**2 + 4*u + 3. Let b be 1 + (6 - 0)/2. Suppose b = y - 3*y. What are the prime factors of x(y)? 23 Let m(j) = 58*j - 12. Let z = -42 + 44. List the prime factors of m(z). 2, 13 Suppose -3*o - 10 = -j + 5, 4*o = -3*j - 7. Suppose -j*b + 18 = -5*k, -3*k + 9 = -0*k. Suppose -2*t + 9 = g, -5*t - b = -5*g + 34. List the prime factors of g. 3 Suppose -2*r - 199 = -67. List the prime factors of 4930/110 - 3*4/r. 3, 5 Suppose 0 = -2*v - g + 3132, -14*g = 2*v - 9*g - 3124. What are the prime factors of v? 1567 Let o(q) = -2*q**3 - 6*q**2 - 7*q. Let l be o(-3). Let d be (l/7)/((-3)/(-65)). Suppose 5*z = -i + d, 0 = i - 2*z - 56 + 19. List the prime factors of i. 3, 5 Let m = -967 - -3472. What are the prime factors of m? 3, 5, 167 Let d(y) = 1937*y - 178. What a
{ "pile_set_name": "DM Mathematics" }
is 667 minutes before 3:13 AM? 4:06 PM How many minutes are there between 4:13 AM and 6:52 AM? 159 What is 244 minutes after 12:47 PM? 4:51 PM What is 141 minutes before 10:05 AM? 7:44 AM How many minutes are there between 6:45 AM and 8:53 AM? 128 How many minutes are there between 7:51 PM and 2:54 AM? 423 How many minutes are there between 5:03 AM and 7:06 AM? 123 What is 448 minutes before 11:36 PM? 4:08 PM What is 592 minutes before 3:59 PM? 6:07 AM What is 296 minutes after 9:58 PM? 2:54 AM What is 48 minutes after 5:29 AM? 6:17 AM How many minutes are there between 4:00 PM and 2:11 AM? 611 What is 670 minutes after 6:04 AM? 5:14 PM How many minutes are there between 8:12 AM and 12:38 PM? 266 How many minutes are there between 9:29 AM and 12:05 PM? 156 What is 406 minutes after 11:18 PM? 6:04 AM What is 690 minutes after 4:58 PM? 4:28 AM What is 704 minutes after 7:18 AM? 7:02 PM What is 715 minutes after 3:20 PM? 3:15 AM What is 535 minutes before 6:25 PM? 9:30 AM What is 662 minutes after 6:16 AM? 5:18 PM What is 421 minutes before 4:04 PM? 9:03 AM What is 274 minutes before 10:08 PM? 5:34 PM How many minutes are there between 3:16 PM and 4:53 PM? 97 What is 690 minutes after 3:59 PM? 3:29 AM How many minutes are there between 1:31 AM and 2:06 AM? 35 What is 445 minutes after 5:28 AM? 12:53 PM How many minutes are there between 4:31 AM and 8:27 AM? 236 What is 166 minutes before 11:57 PM? 9:11 PM How many minutes are there between 2:12 PM and 4:28 PM? 136 What is 708 minutes before 4:50 AM? 5:02 PM What is 315 minutes before 8:56 AM? 3:41 AM What is 599 minutes after 2:59 AM? 12:58 PM How many minutes are there between 11:37 PM and 12:27 AM? 50 What is 315 minutes before 5:59 PM? 12:44 PM How many minutes are there between 2:07 PM and 1:14 AM? 667 How many minutes are there between 11:42 PM and 1:59 AM? 137 What is 391 minutes before 7:25 AM? 12:54 AM What is 609 minutes after 12:13 AM? 10:22 AM How many minutes are there between 7:24 PM and 6:05 AM? 641 What is 430 minutes before 10:54 PM? 3:44 PM How many minutes are there between 2:39 PM and 7:28 PM? 289 How many minutes are there between 1:25 PM and 9:01 PM? 456 What is 459 minutes after 4:52 AM? 12:31 PM How many minutes are there between 8:20 AM and 10:59 AM? 159 What is 156 minutes before 9:09 AM? 6:33 AM What is 401 minutes after 7:55 PM? 2:36 AM How many minutes are there between 3:16 AM and 5:07 AM? 111 What is 715 minutes before 6:46 PM? 6:51 AM What is 457 minutes before 6:43 PM? 11:06 AM How many minutes are there between 12:25 AM and 8:48 AM? 503 What is 309 minutes after 12:40 AM? 5:49 AM How many minutes are there between 4:27 AM and 1:13 PM? 526 What is 144 minutes before 1:32 AM? 11:08 PM How many minutes are there between 2:29 AM and 9:37 AM? 428 What is 584 minutes before 10:18 PM? 12:34 PM How many minutes are there between 11:23 AM and 6:11 PM? 408 What is 77 minutes before 8:17 PM? 7:00 PM How many minutes are there between 2:30 AM and 12:02 PM? 572 How many minutes are there between 1:30 AM and 9:42 AM? 492 What is 289 minutes after 2:38 PM? 7:27 PM How many minutes are there between 9:32 PM and 7:16 AM? 584 What is 126 minutes before 12:55 PM? 10:49 AM What is 156 minutes after 5:50 AM? 8:26 AM How many minutes are there between 9:17 AM and 5:19 PM? 482 How many minutes are there between 11:30 PM and 3:01 AM? 211 What is 305 minutes before 8:37 PM? 3:32 PM How many minutes are there between 4:12 PM and 4:07 AM? 715 What is 401 minutes before 12:39 AM? 5:58 PM What is 170 minutes before 12:25 AM? 9:35 PM How many minutes are there between 11:52 AM and 1:42 PM? 110 What is 203 minutes before 1:59 PM? 10:36 AM What is 630 minutes after 2:29 PM? 12:59 AM What is 583 minutes after 1:57 PM? 11:40 PM What is 67 minutes before 12:49 PM? 11:42 AM What is 617 minutes before 3:12 PM? 4:55 AM What is 693 minutes after 4:24 PM? 3:57 AM What is 623 minutes after 5:24 AM? 3:47 PM How many minutes are there between 1:59 PM and 6:42 PM? 283 What is 582 minutes before 5:35 PM? 7:53 AM What is 130 minutes after 3:52 PM? 6:02 PM How many minutes are there between 1:43 AM and 2:18 AM? 35 How many minutes are there between 2:26 AM and 2:28 AM? 2 What is 6 minutes before 1:32 PM? 1:26 PM What is 634 minutes before 8:08 AM? 9:34 PM What is 309 minutes before 6:50 PM? 1:41 PM What is 128 minutes after 8:49 AM? 10:57 AM How many minutes are there between 8:52 PM and 6:33 AM? 581 What is 699 minutes before 3:35 PM? 3:56 AM How many minutes are there between 3:04 PM and 3:54 PM? 50 How many minutes are there between 7:07 PM and 8:45 PM? 98 How many minutes are there between 9:40 PM and 3:46 AM? 366 How many minutes are there between 1:27 PM and 4:06 PM? 159 How many minutes are there between 2:43 PM and 6:10 PM? 207 What is 127 minutes before 4:38 AM? 2:31 AM How many minutes are there between 7:18 AM and 9:21 AM? 123 What is 599 minutes before 6:56 PM? 8:57 AM How many minutes are there between 1:31 PM and 2:33 PM? 62 How many minutes are there between 9:09 PM and 8:37 AM? 688 How many minutes are there between 7:29 PM and 8:59 PM? 90 How many minutes are there between 9:48 PM and 7:30 AM? 582 What is 56 minutes after 1:04 AM? 2:00 AM How many minutes are there between 5:56 PM and 3:39 AM? 583 What is 240 minutes before 1:31 PM? 9:31 AM What is 166 minutes before 3:04 AM? 12:18 AM How many minutes are there between 7:01 PM and 3:25 AM? 504 How many minutes are there between 11:01 PM and 8:34 AM? 573 How many minutes are there between 12:20 AM and 5:45 AM? 325 How many minutes are there between 7:28 PM and 9:19 PM? 111 What is 707 minutes after 4:38 AM? 4:25 PM What is 405 minutes after 8:03 AM? 2:48 PM What is 532 minutes before 6:25 AM? 9:33 PM How many minutes are there between 8:36 AM and 5:53 PM? 557 How many minutes are there between 2:35 AM and 6:49 AM? 254 How many minutes are there between 2:26 PM and 6:41 PM? 255 How many minutes are there between 11:35 AM and 1:32 PM? 117 How many minutes are there between 7:31 PM and 7:42 PM? 11 How many minutes are there between 4:50 PM and 4:06 AM? 676 What is 286 minutes before 10:39 AM? 5:53 AM What is 67 minutes before 4:24 AM? 3:17 AM How many minutes are there between 4:22 PM and 12:08 AM? 466 How many minutes are there between 8:30 AM and 8:20 PM? 710 How many minutes are there between 3:02 PM and 3:38 PM? 36 What is 709 minutes before 12:09 AM? 12:20 PM How many minutes are there between 8:38 PM and 7:40 AM? 662 How many minutes are there between 7:48 AM and 10:27 AM? 159 What is 623 minutes before 4:39 PM? 6:16 AM How many minutes are there between 10:07 PM and 10:43 PM? 36 What is 345 minutes after 7:34 PM? 1:19 AM What is 204 minutes after 5:01 AM? 8:25 AM What is 636 minutes before 3:02 AM? 4:26 PM What is 292 minutes after 12:15 AM? 5:07 AM What is 344 minutes after 2:41 AM? 8:25 AM How many minutes are there between 3:23 AM and 1:07 PM? 584 How many minutes are there between 11:14 PM and 6:48 AM? 454 What is 49 minutes before 4:41 PM? 3:52 PM How many minutes are there between 8:05 PM and 7:00 AM? 655 What is 559 minutes after 6:07 AM? 3:26 PM What is 322 minutes before 10:43 AM? 5:21 AM What is 298 minutes before 2:37 AM? 9:39 PM How many minutes are there between 3:44 AM and 10:34 AM? 410 What is 616 minutes after 10:00 AM? 8:16 PM How many minutes are there between 12:19 PM and 9:57 PM? 578 What is 424 minutes after 2:21 PM? 9:25 PM What is 557 minutes after 11:31 AM? 8:48 PM How many minutes are there between 11:26 AM and 6:34 PM? 428 How many minutes are there between 8:53 AM and 10:36 AM? 103 What is 428 minutes before 4:41 PM? 9:33 AM What is 584 minutes after 3:34 PM? 1:18 AM How many minutes are there between 7:06 PM and 3:50 AM? 524 How many minutes are there between 8:49 AM and 2:44 PM? 355 How many minutes are there between 2:13 PM and 10:03 PM? 470 What is 665 minutes before 7:37 PM? 8:32 AM What is 186 minutes before 1:05 AM? 9:59 PM How many minutes are there between 11:18 AM and 12:48 PM? 90 How many minutes are there between 9:07 AM and 12:12 PM? 185 What is 298 minutes after 12:06 AM? 5:04 AM What is 399 minutes after 1:45 PM? 8:24 PM How many minutes are there between 2:00 AM and 1:20 PM? 680 How many minut
{ "pile_set_name": "DM Mathematics" }
e third derivative of d(j) wrt j? -1200*j**3 Let p be (-9)/(-3) - -2 - -3. Let t = -8 + p. What is the second derivative of -2*g - 2*g - g**2 + t + 0 wrt g? -2 Let g = -22 - -26. Find the third derivative of -3*u**2 - 3*u**g + 17*u**4 + 2*u**4 - 8*u**2 wrt u. 384*u Suppose -a - 3*h = -7, 0 = -0*a + 4*a - 2*h. Let o(w) = -1. Let n(g) = -g - 7. Let r(k) = a*n(k) + o(k). Differentiate r(q) with respect to q. -1 Let j(z) = -2*z**2 - z - 1. Let a(w) = 252*w**2 - 62. Let d(r) = a(r) - j(r). Find the second derivative of d(y) wrt y. 508 Let v be ((-11)/(-5)*-2)/(6/(-60)). Differentiate -32*q + v - 31*q + 64*q with respect to q. 1 Suppose 3*f = 3*l + 21, 0*f = -2*f + 3*l + 16. Suppose -f = m - 3*p, 2*p - 28 = -5*m - 2. Differentiate 9 - 2 + i**m - 2 + i**4 with respect to i. 8*i**3 Let z(r) be the first derivative of 0*r + 10*r**2 - 3/4*r**4 - 28 + 0*r**3. Find the second derivative of z(c) wrt c. -18*c Let o(r) be the first derivative of r**7/3 + r**4/6 - 11*r + 15. Let l(s) be the first derivative of o(s). Find the third derivative of l(n) wrt n. 840*n**2 Let c(u) = -12*u**3 + 2*u**2 - 3. Let j be c(-2). Find the second derivative of -j*f**2 + 101*f**2 - 10*f - f**4 wrt f. -12*f**2 What is the first derivative of 51*p**3 + 119*p**3 + p**3 + 183 + 185*p**3 + 262*p**3 wrt p? 1854*p**2 Let l(k) = 668*k**3 - 902*k**2 + 3*k + 3. Let q(u) = -2*u**2 + u + 1. Let c(v) = l(v) - 3*q(v). Find the third derivative of c(x) wrt x. 4008 Let u(n) be the third derivative of -n**7/210 - n**5/30 - 7*n**4/8 + 4*n**2 + n. What is the third derivative of u(x) wrt x? -24*x Let m(k) = 2*k + 16. Let s be m(-3). What is the third derivative of s*v**2 - 22*v**2 - 22*v**4 + 33*v**2 wrt v? -528*v Let j(o) = -83*o**3 - 10*o + 148. Let i(y) = 124*y**3 + 16*y - 222. Let c(s) = -5*i(s) - 8*j(s). Differentiate c(u) wrt u. 132*u**2 Let j(z) be the second derivative of 2*z**3/3 - 10*z**2 + 5*z. Differentiate j(v) with respect to v. 4 Let m(r) be the second derivative of 0*r**3 + 2/15*r**6 + 0*r**4 + 0 - 15*r + 0*r**5 + r**2. What is the first derivative of m(g) wrt g? 16*g**3 Suppose 0 = -3*q + z + 16, -6*z = -5*q - 3*z + 32. Find the second derivative of 4*n**q - 15*n + 13*n + n wrt n. 48*n**2 Let q be 39*((-3)/(-27))/((-2)/(-6)). Find the first derivative of -11 + 25*u - q*u - 1 wrt u. 12 Let l(d) be the first derivative of 1/4*d**4 + 0*d**2 + 3*d**3 + 0*d + 8. Find the third derivative of l(m) wrt m. 6 Let k(y) be the third derivative of -y**8/336 - 97*y**7/210 - 17*y**5/30 + 7*y**2. Find the third derivative of k(v) wrt v. -60*v**2 - 2328*v Let z be (-28)/(-98) - (-390)/7. Find the second derivative of 61*o**3 - 16*o + z*o**3 - 117*o**3 - 29*o**4 wrt o. -348*o**2 Let l be 2/(-12) + 2275/(-30). Let n = l + 108. What is the third derivative of n*x**2 - 6*x**6 - 15*x**2 - 9*x**2 wrt x? -720*x**3 Let f = 10 - 7. Suppose f*z = 18 - 0. What is the third derivative of z*p**4 - 7*p**4 + 5*p**4 - 3*p**2 wrt p? 96*p Let f(o) be the third derivative of 23*o**8/84 + o**4/4 - 7*o**3/6 + 29*o**2. What is the second derivative of f(g) wrt g? 1840*g**3 Let m(x) be the third derivative of -8*x**6/5 + 2*x**5/15 - 2*x**3 + x**2 - 64. Find the third derivative of m(f) wrt f. -1152 Let w(a) = a**2 + 2*a + 1. Let h be w(3). Let o = h + -11. Differentiate -5 + 0 - 9*t**2 + o*t**2 wrt t. -8*t Suppose 0 = -m - m + 8. Find the second derivative of 0*c**2 + 4*c**2 + m*c + c**2 - 10*c**2 wrt c. -10 Let u(s) be the third derivative of 11*s**6/720 - s**5/12 + 9*s**4/8 + 8*s**2. Let c(y) be the second derivative of u(y). Differentiate c(q) with respect to q. 11 Find the first derivative of -3052*w + 6107*w + 201 - 539*w**3 - 3055*w wrt w. -1617*w**2 Let n(f) = f**2 + 3. Let d(m) = -467*m**2 + 549. Let v(x) = -d(x) + 4*n(x). What is the derivative of v(j) wrt j? 942*j Let t(m) be the second derivative of -19*m**6/6 - 52*m**3/3 - 5*m + 5. What is the second derivative of t(k) wrt k? -1140*k**2 What is the first derivative of -r + 7643 + r - 759*r**2 - 7591 wrt r? -1518*r Suppose 3*l = -r - 9, 0 = -4*r - l + 4 + 4. Suppose r*w - 12 = -0. Find the second derivative of -4*c + 6*c - w*c + 2*c**5 wrt c. 40*c**3 Let x(j) be the first derivative of 12 + 3*j + 0*j**2 + 0*j**3 - 5/4*j**4. What is the first derivative of x(u) wrt u? -15*u**2 What is the second derivative of 10*w - 29*w + 16*w + 71*w**3 + 16*w wrt w? 426*w Suppose 5*i = -0*k - 4*k + 9, 4*i = 4*k + 36. What is the third derivative of -29*t**i + 29*t**5 - 28*t**6 + 32*t**2 wrt t? -3360*t**3 Let l be 1 + -1 + (-4)/(-2). Find the third derivative of k**3 - 2*k**2 - k**2 - 9*k**3 - 4*k**l wrt k. -48 Suppose -36 = -2*a + 4*p, 2*p = -6 - 4. Let f be (2/4)/(1/a). Find the second derivative of -64*t**f + 3*t + 5*t + 70*t**4 wrt t. 72*t**2 Let a(k) = 243*k**4 - 79*k**2 + 4. Let m(w) = -487*w**4 + 158*w**2 - 10. Let j(g) = 10*a(g) + 4*m(g). Find the third derivative of j(v) wrt v. 11568*v Let n(v) be the third derivative of 3*v**7/70 - v**5/12 - 25*v**4/4 - 26*v**2. What is the second derivative of n(t) wrt t? 108*t**2 - 10 Suppose 10*j + j = -11. Let a(q) = -q**3 + 1. Let n(z) = -3*z**3 + 25*z - 3. Let k(i) = j*n(i) - 3*a(i). What is the second derivative of k(g) wrt g? 36*g Let t(q) be the third derivative of -157*q**5/60 + q**4/24 + 69*q**3/2 + 204*q**2 + 2*q. Find the first derivative of t(f) wrt f. -314*f + 1 Differentiate -101*n**3 - 145 - 29 - 3*n**3 wrt n. -312*n**2 Let w = 447 - 439. Let g(b) be the first derivative of 0*b + w + 0*b**3 + 0*b**4 - 1/6*b**6 - 5*b**2 + 0*b**5. Find the second derivative of g(z) wrt z. -20*z**3 Let x(y) = -5*y**6 - 83*y**2 - 13*y. Let v(i) = -3*i**6 - 41*i**2 - 6*i. Let s(j) = -13*v(j) + 6*x(j). Find the third derivative of s(d) wrt d. 1080*d**3 What is the derivative of -336*k**3 - k - 73 - 36 + 332*k**3 wrt k? -12*k**2 - 1 Let w(r) be the second derivative of -r**3 - 4*r**2 - r. Let m be w(-3). What is the second derivative of m*h + 174 - 174 + 2*h - 4*h**5 wrt h? -80*h**3 Let m(y) = -274*y**2 - 6*y + 182. Let b(x) = -275*x**2 - 5*x + 181. Let d(p) = 6*b(p) - 5*m(p). Differentiate d(w) with respect to w. -560*w Differentiate 74*j**4 - 346*j**4 - 330 + 642 - 302*j**4 wrt j. -2296*j**3 Let i(o) be the second derivative of 3*o**8/280 - o**4/2 - 16*o**3/3 + 31*o. Let v(f) be the second derivative of i(f). Find the first derivative of v(q) wrt q. 72*q**3 Let g(c) be the second derivative of 53*c**6/30 + 107*c**2/2 - 7*c. Differentiate g(y) with respect to y. 212*y**3 Differentiate 18 + 20 + 34 + 175*o**4 wrt o. 700*o**3 Let n(j) be the first derivative of j**7/35 - j**4/3 - 5*j**2 + 11. Let o(b) be the second derivative of n(b). What is the second derivative of o(f) wrt f? 72*f**2 Let n(l) be the second derivative of l**6/24 + l**5/12 - 11*l**2 - 15*l. Let g(m) be the first derivative of n(m). Find the third derivative of g(c) wrt c. 30 Suppose -8*m = 2*m - 40. Find the second derivative of 13*i + 13*i - 7*i**4 + 28*i**m - 31*i wrt i. 252*i**2 Let k(z) = -z**6 - z**3 + z**2. Let v(d) = 15*d**6 + 4*d**3 - 10*d**2. Let t = -41 - -40. Let w(i) = t*v(i) - 4*k(i). Find the third derivative of w(p) wrt p. -1320*p**3 Let h be (4/(-6))/((-14)/(-147)). Let p be (9 - 7)/((-2)/h). Find the first derivative of 45*v**4 - p - 23*v**4 - 18*v**4 wrt v. 16*v**3 Let w(l) = 6*l**5 + 5*l**3 - 8*l**2 - 4*l + 10. Let t(j) = j**5 - j**3 - j**2 - j. Let h(v) = 4*t(v) - w(v). Find the third derivative of h(i) wrt i. -120*i**2 - 54 Let o(p) be the third derivative of 3*p**5/10 + 3*p**3 + 81*p**2. What is the first derivative of o(j) wrt j? 36*j Let y = -8 + 8. Let t be y + 0 - (-5 - -3). What is the derivative of -7*v + 9*v - 1 + v - t*v wrt v? 1 Let k(p) be the second derivative of p**4/6 + 2*p**3/3 + 23*p**2 - 43*p. Differentiate k(t) with respect to t. 4*t + 4 Suppose 2*a - 2*u = 4*a - 18, 5*a = 5*u + 15. What is the third derivative of 14*p**6 - 26*p**2 + 16*p**6 - 7*p**a - p**6 wrt p? 2640*p**3 Let b(r) be the first derivative of 4*r**6/15 + 5*r**3/3 + 12*r - 2. Let x(c) be the first derivative of b(c). Find the second derivative of x(n) wrt n. 96*n**2 Let i(z) = 74*z**3 - 161*z**2 - 236*z - 7. Let b(d) = 12*d**3 + d**2 - 1. Let n(m) = -6*b(m) + i(m). Find the second derivative of n(a) wrt a. 12*a - 334 Differentiate -16*v + 66 + 28*v**3 + 20*v - 4
{ "pile_set_name": "DM Mathematics" }
Let j(v) = -v**3 + 3*v**2 + 7*v + 1. Let q be j(4). Let x(i) = -q - 6*i**2 + 3*i - 5*i - 5*i**2. Calculate -4*x(s) + 9*z(s). -s**2 - s - 2 Let m(q) be the second derivative of q**3/6 - q**2 + 6*q. Let g(y) = -1. Give 2*g(i) - 2*m(i). -2*i + 2 Let c(l) = l**2 + 7*l - 6. Let o(d) = -2*d**2 - 15*d + 13. Let s(u) = 13*c(u) + 6*o(u). Let g(p) = -p**2 - 2*p. Determine 3*g(n) + 5*s(n). 2*n**2 - n Let w(g) be the first derivative of -3*g**5/20 - 3*g**2 + 3*g - 1. Let a(q) be the first derivative of w(q). Let n(l) = -l**3 - 1. Calculate a(d) - 6*n(d). 3*d**3 Let z(l) be the third derivative of l**4/6 - l**3/3 - 15*l**2. Let j(i) = 5*i - 3. Suppose 3 = h - 0. Calculate h*z(g) - 2*j(g). 2*g Let f(p) = -1 + p - 2 + 8*p. Let b = 18 + -13. Let k(c) = -4*c + 1. Give b*k(x) + 2*f(x). -2*x - 1 Let u(x) = x**3 + x**2 - x + 1. Let m(d) = 7*d**3 + 4*d**2 - 5*d + 1. Calculate -m(k) + 4*u(k). -3*k**3 + k + 3 Let u(v) = -2*v**3 + v**2 + v + 3. Let c(b) be the second derivative of b**5/10 - b**2 + 5*b. Calculate 3*c(x) + 2*u(x). 2*x**3 + 2*x**2 + 2*x Suppose -v = v + 14. Let z(b) = 9*b - 5. Let h(l) = -9*l + 0 + 7 - 4*l. Calculate v*z(x) - 5*h(x). 2*x Let q(x) = -8*x**3 + 9*x**2 + 8*x - 11. Let r(c) = 7*c**3 - 8*c**2 - 7*c + 12. What is 6*q(t) + 7*r(t)? t**3 - 2*t**2 - t + 18 Let g(s) = -s**2 + s. Let n(r) be the third derivative of r**5/20 + r**4/24 - r**3/3 - 12*r**2. Determine g(o) + n(o). 2*o**2 + 2*o - 2 Let j(x) = -7*x - 4. Let w(n) = -n - 1. Let u = 255 - 260. Let v = -1 - -3. Let h = 3 - v. Determine h*j(g) + u*w(g). -2*g + 1 Let p(y) = -8*y - 4. Let i(x) = -7*x - 5. What is 5*i(n) - 6*p(n)? 13*n - 1 Let v(x) = -6*x**3 - x**2 + 3*x - 3. Let s(q) = 5*q**3 + q**2 - 2*q + 2. Calculate 3*s(p) + 2*v(p). 3*p**3 + p**2 Let g(l) be the third derivative of -l**5/60 - l**4/24 + l**3/6 - 4*l**2. Let n = 12 - 9. Let j(p) = p**3 - 3*p**2 - 3*p + 2. Give n*g(c) - j(c). -c**3 + 1 Let b(o) = -1. Let p(h) be the third derivative of h**4/12 - 5*h**3/6 - 4*h**2. What is -6*b(y) + p(y)? 2*y + 1 Let z(t) = 2*t**2 + 0 - 2 + 3 - 3*t**2. Let b(l) = -3 - 2*l**2 - l - 3 + 7 - l**2. Determine -b(i) + 2*z(i). i**2 + i + 1 Let b(z) = 6*z**3 + 2*z**2 + 4*z - 2. Let m(l) = -l**3 - l. Calculate -b(j) - 5*m(j). -j**3 - 2*j**2 + j + 2 Let a(w) = 26*w + 16. Let n(s) = -9*s - 5. What is 2*a(z) + 7*n(z)? -11*z - 3 Let y(r) = -r**3 - 7*r**2 + 7*r + 7. Let n(i) = i**3 + 4*i**2 - 4*i - 4. Suppose t - 5 = 2. What is t*n(f) + 4*y(f)? 3*f**3 Let f(h) = 44*h**3 - h**2 - 2*h - 2. Let n(z) = 88*z**3 - 3*z**2 - 5*z - 5. What is 5*f(p) - 2*n(p)? 44*p**3 + p**2 Suppose -5*d - 38 + 123 = 0. Let b(x) = 7*x**3 - 6*x**2 + 6. Let r(z) = -20*z**3 + 17*z**2 - 17. Give d*b(p) + 6*r(p). -p**3 Let n(w) be the second derivative of -4*w**3/3 - 7*w**2 + 3*w. Let l(g) = 3*g + 5. Let j = 11 - 0. Determine j*l(k) + 4*n(k). k - 1 Let g(j) = -8*j - 1. Let s(h) = h**2 - 7*h - 1. Let p(r) = -5*g(r) + 6*s(r). Let m(n) = -1 + n - n - 2*n + 7*n**2. Calculate 4*m(v) - 5*p(v). -2*v**2 + 2*v + 1 Let f = -20 - -17. Let k be ((-3)/f)/(3/(-51)). Let i(d) = 23*d - 3. Let c(g) = -8*g + 1. Give k*c(s) - 6*i(s). -2*s + 1 Let w(i) = 4*i**3 + 16*i + 7. Let p(f) = 0 + 2 - 9*f - 3*f**3 - 2*f - 7. Give 7*p(l) + 5*w(l). -l**3 + 3*l Let d(x) = 3*x**2 - 14. Let s(b) = 3*b**2 - 15. What is -5*d(n) + 4*s(n)? -3*n**2 + 10 Let c(k) = -k**3 - k**2 + k. Let y(m) = 7*m**3 + 6*m**2 - 7*m + 2. What is -6*c(g) - y(g)? -g**3 + g - 2 Suppose o = -o + 16. Suppose -5*w + 19 = -7*w - p, w = p - o. Let x(f) = -8 + 4*f**3 - 3*f**3 - 1 - 5*f. Let g(v) = -v - 2. Calculate w*g(d) + 2*x(d). 2*d**3 - d Let a(o) = -2*o**2 - 3*o - 4. Let w be ((-2)/(-3)*3)/1. Let v(n) = n + n + 0 + 5 - 2 + n**w. Calculate -4*a(z) - 6*v(z). 2*z**2 - 2 Let n(o) = -7*o**2 - 24*o + 5. Let k(s) = -s**2 - s + 1. Calculate -5*k(x) + n(x). -2*x**2 - 19*x Let y(d) = 10*d + d**3 - 11*d + 0*d**3 + 1. Let u(c) = 2*c**3 + c**2 - 4*c + 4. Determine u(n) - 4*y(n). -2*n**3 + n**2 Let s(q) = q**2 + 8*q - 4. Let z(h) = -h**2 - 7*h + 3. What is -2*s(l) - 3*z(l)? l**2 + 5*l - 1 Let t(p) = -6*p - 1. Let c(v) = -1 - 30*v + 16*v + 9*v. Give -5*c(g) + 4*t(g). g + 1 Let d(u) be the first derivative of -u**3/3 + u**2/2 - u + 3. Let r(q) = -3*q**3 - 3*q**2 + 3*q - 3. What is 3*d(j) - r(j)? 3*j**3 Let h(t) = -15*t**2 - 11*t. Let m(q) = -8*q**2 - 6*q. Let d be -1*2 + (-5 - 4). Calculate d*m(b) + 6*h(b). -2*b**2 Let k(q) = -q**2 - 1. Let g(t) = -8*t**2 - 4. Let h(y) = -6*y + 32. Let p be h(6). Determine p*k(u) + g(u). -4*u**2 Let y(r) = 8*r - 14. Let c(d) = -9*d + 15. What is -6*c(f) - 7*y(f)? -2*f + 8 Let k(d) = -d**2 + d - 1. Let g(w) = 9*w**2 - 10*w + 5. Let s(f) = -14*f**2 + 15*f - 7. Let y(c) = -8*g(c) - 5*s(c). What is 3*k(o) - y(o)? -o**2 - 2*o + 2 Let m(k) = -5*k**2 + 4*k + 5. Let i(c) = 7*c**2 - 4*c - 29. Let x(w) = -2*w**2 + w + 10. Let f(a) = 4*i(a) + 11*x(a). Calculate -4*f(t) - 5*m(t). t**2 - 1 Let x(f) = -f + 6. Let j(h) = h - 7. Let m be (-6)/9*(-3)/(-2). Let o = m + 7. Give o*j(p) + 7*x(p). -p Let c = 31 + -18. Suppose -3*n = 2*t + c - 4, 5*n = -t - 8. Let r(w) = -w. Let u(g) = -3*g + 1. Determine n*r(f) + u(f). -2*f + 1 Let q(h) = -2*h - 14. Let k(d) = 1. Let i(t) = -5*k(t) - q(t). Let l = -1 - -3. Suppose 5 = -l*u + 23. Let a(c) = -c - 4. Give u*a(o) + 4*i(o). -o Let l(d) be the second derivative of -5*d**4/12 + d**3/6 + 5*d**2/2 + d. Let b be 45/27 + 4/3. Let y(x) = 4*x**2 - x - 4. Give b*l(a) + 4*y(a). a**2 - a - 1 Let t(a) = -a**2. Let r(p) = 10*p**2 - 2*p. Let m = -18 + 49. Suppose -g + 12 = 4*j + m, 2*j = 5*g - 15. Give g*r(k) + 12*t(k). -2*k**2 - 2*k Let p(l) = 8*l - 53. Let d be p(6). Let y(i) = -2*i**2 - 4*i + 3. Let r(g) = 0*g**2 - 3 + 5*g + 2*g**2 - 1. Determine d*y(k) - 4*r(k). 2*k**2 + 1 Let k(i) = -14*i**3 + 2*i - 5. Let z(w) = w**3 + 1. Determine -k(s) - 5*z(s). 9*s**3 - 2*s Let y(w) = 2*w + 8. Let k(p) = -p**2 - 1. Give 6*k(v) + y(v). -6*v**2 + 2*v + 2 Let f(g) = 7*g**2 + 5*g - 2. Let h(s) = 6*s**2 + 5*s - 2. What is 4*f(t) - 5*h(t)? -2*t**2 - 5*t + 2 Let l be (2*-3)/((-10)/15). Let z(h) = -14 + 5 + l - h - h**2. Let s(u) = -u**3 - 3*u**2 - 2*u + 1. Calculate -s(x) + 3*z(x). x**3 - x - 1 Let y(r) = -2*r**3 + 3*r - 3. Suppose -5*i = m - 10, 5*m + i - 21 = 53. Suppose -20*d + m = -15*d. Let g(x) = -6*x**3 + 8*x - 8. What is d*g(p) - 8*y(p)? -2*p**3 Let k(o) = o**3 - 6*o. Let w(n) = -n**3 + n**2 + 11*n. What is -5*k(f) - 3*w(f)? -2*f**3 - 3*f**2 - 3*f Let d(l) = -2*l**3 - l**2 - l. Let h(u) = 5*u**3 + 3*u**2 + 2*u. Suppose 3*q + 12 = -q. Let m be (-63)/6*2/q. What is m*d(t) + 3*h(t)? t**3 + 2*t**2 - t Let a(l) = 12*l**3 - 2*l**2 - 2*l + 2. Let p(d) = -12*d**3 + 3*d**2 + 3*d - 3. Calculate 3*a(w) + 2*p(w). 12*w**3 Let c = -23 - -29. Let j(g) = 1. Let b(y) = y + 2. Calculate c*j(p) - 2*b(p). -2*p + 2 Let m = 4 - 4. Let p = m - 1. Let x(f) = f**3 + f**2 - f - 1. Let q(c) = -5 + 9*c**2 - 4*c**2 - 5*c + 6*c**3 - 2*c**3. Calculate p*q(j) + 5*x(j). j**3 Let m(o) = -o - 1. Let x(a) = 2*a**3 - 3*a**2 + 6*a + 3. Let t(s) = -6*m(s) - 2*x(s). Let b(w) = -4*w**3 + 5*w**2 - 5*w. Calculate 6*b(u) - 5*t(u). -4*u**3 Let g(i) = 4*i - 8 - 3*i - 2*i + 4. Let u(v) = v + 1. Let s(o) = 2*o + 2. Let h(j) = -s(j) + 3*u(j). What is g(l) + 2*h(l)? l - 2 Let c(m) = m**3 + 2*m + 2. Let d = 27 + -9. Let q(y) = 5*y**3 + 9*y + 9. Determine d*c(a) - 4*q(a). -2*a**3 Let h(i) = -2*i**3 - 4*i. Let y(n) = -2*n**3 - 3*n. Suppose -z = 2*z + 9. Give z*h(o) + 4*y(o). -2*o**3 Let y be 3*(0 - (0 - (-1)/(-3))). Let t(i) = i**2 - 1. Let d(z) = z + 1. Calculate y*t(n) + 2*d(n). n**2 + 2*n + 1 Let d = 56 + -53. Let l(q) = q - 2. Let a(z) = 2*z - 3. Determine d*a(i) - 5*l(i). i + 1 Let y(d) = d + 1. Let f(x) = 4*x - 4. Let w(i) = f(i) - 3*y(i). Let g(s) = -2*s + 11. Determine 5*g(b) + 8*w(b). -2*b - 1 Let v(b) be the second derivative of -b**4/2 + 11*b**3/6 - 5*b**2/2 - 2*b. Let t be 2 + (-3 - (-2 + -2)). Let x(n) = 2*n**2 - 4*n + 2. Give t*v(o) + 8*x(o). -2*o**2 + o + 1 Let z(q) = 4*q**3 - 3*q**2 - 3*q. Let c be 0 - 0 - (0 - -5). Let h be 2 - c/(-3)*3. Let i(o) = 7*o**3 - 5*o**2 - 5*o. Calculate h*i(y) + 5*z(y). -y**3 Let p(d) = -5*d**3 - 2*d**2 + 2*d + 3. Let f(z) be the third derivative of 7*z**6/40 + 3*z**5/20 - 3*z**4/8 - 13*z**3/6 + 18*z**2. Calculate -2*f(t) - 9*p(t). 3*t**3 - 1 Let s(i) = -23*i + 4. Let t(w) = w**2 + 46*w
{ "pile_set_name": "DM Mathematics" }
there in one fifth of a litre? 200 What is 3/25 of a tonne in kilograms? 120 How many months are there in nine tenths of a millennium? 10800 What is 3/5 of a kilogram in grams? 600 What is eighteen fifths of a litre in millilitres? 3600 How many months are there in thirteen eighths of a millennium? 19500 How many micrometers are there in 11/10 of a millimeter? 1100 How many months are there in three tenths of a millennium? 3600 What is 46466.71 weeks in microseconds? 28103066208000000 Convert 21845.21g to milligrams. 21845210 How many micrograms are there in 37/5 of a milligram? 7400 How many millilitres are there in fifty-one quarters of a litre? 12750 What is ten thirds of a decade in months? 400 How many litres are there in 68433.96 millilitres? 68.43396 How many micrometers are there in twenty-five halves of a millimeter? 12500 What is 774.327 hours in minutes? 46459.62 What is 3/5 of a litre in millilitres? 600 What is 1/20 of a litre in millilitres? 50 What is 10/9 of a day in minutes? 1600 What is 50.11757 milligrams in nanograms? 50117570 How many nanoseconds are there in 452477.1 minutes? 27148626000000000 How many micrograms are there in 13/5 of a milligram? 2600 What is 8/3 of a hour in seconds? 9600 How many nanograms are there in eleven halves of a microgram? 5500 Convert 52.08095 weeks to days. 364.56665 What is 457.9975 milligrams in nanograms? 457997500 How many tonnes are there in 612.1979 milligrams? 0.0000006121979 What is 51/5 of a millennium in centuries? 102 How many seconds are there in 7/6 of a hour? 4200 What is 11/4 of a century in years? 275 What is 17/4 of a litre in millilitres? 4250 What is one fifth of a microgram in nanograms? 200 What is thirty-two fifths of a litre in millilitres? 6400 Convert 559.246ns to seconds. 0.000000559246 Convert 194.2402um to nanometers. 194240.2 What is 59.24889 grams in nanograms? 59248890000 What is three tenths of a meter in centimeters? 30 How many litres are there in 34559.93 millilitres? 34.55993 What is one tenth of a microgram in nanograms? 100 How many centuries are there in eighty-one halves of a millennium? 405 What is 3745.202 millennia in years? 3745202 What is 23.3727093ms in days? 0.00000027051746875 How many litres are there in 519976.9 millilitres? 519.9769 How many micrometers are there in twenty-six fifths of a centimeter? 52000 Convert 7.604705 milligrams to micrograms. 7604.705 Convert 54.01155 months to decades. 0.45009625 What is 46922.66 millilitres in litres? 46.92266 What is 21/4 of a second in milliseconds? 5250 What is 21/4 of a millimeter in micrometers? 5250 What is fifty-one halves of a litre in millilitres? 25500 Convert 367181.2mm to centimeters. 36718.12 Convert 582834.8 meters to centimeters. 58283480 How many milligrams are there in 0.5686786 micrograms? 0.0005686786 Convert 825331.8g to tonnes. 0.8253318 How many kilograms are there in 240317.3 tonnes? 240317300 What is 18.83292l in millilitres? 18832.92 What is one fifth of a litre in millilitres? 200 How many months are there in 27/4 of a year? 81 How many centimeters are there in 6034.348 millimeters? 603.4348 How many millilitres are there in 88709.07l? 88709070 What is one tenth of a litre in millilitres? 100 How many litres are there in 79.67134ml? 0.07967134 Convert 6.574908um to centimeters. 0.0006574908 How many years are there in 5/4 of a millennium? 1250 Convert 5332.868 milligrams to tonnes. 0.000005332868 What is 2.354644nm in kilometers? 0.000000000002354644 How many nanoseconds are there in 3/10 of a microsecond? 300 How many millimeters are there in 90977.65 micrometers? 90.97765 How many minutes are there in twenty-three thirds of a hour? 460 What is fifty-five quarters of a litre in millilitres? 13750 What is 0.2590272ml in litres? 0.0002590272 How many meters are there in eleven halves of a kilometer? 5500 How many millilitres are there in 1/10 of a litre? 100 How many months are there in thirteen quarters of a year? 39 How many millilitres are there in 57/5 of a litre? 11400 Convert 401.5112 milligrams to grams. 0.4015112 What is 23.97133 milligrams in tonnes? 0.00000002397133 What is fourty-nine quarters of a litre in millilitres? 12250 Convert 66.42527 millilitres to litres. 0.06642527 What is one sixteenth of a gram in micrograms? 62500 What is 3/25 of a century in months? 144 What is eleven quarters of a milligram in micrograms? 2750 Convert 50279.63l to millilitres. 50279630 How many millennia are there in 482914.3 centuries? 48291.43 How many hours are there in sixty-four thirds of a week? 3584 How many grams are there in 890233.8 tonnes? 890233800000 How many decades are there in twenty-one halves of a century? 105 Convert 827.233 centimeters to micrometers. 8272330 What is 206889.1l in millilitres? 206889100 Convert 8.769724l to millilitres. 8769.724 Convert 1755.3483 months to years. 146.279025 What is 11/2 of a second in milliseconds? 5500 What is 4/15 of a minute in milliseconds? 16000 Convert 7.908239 kilometers to centimeters. 790823.9 What is 0.2692837 litres in millilitres? 269.2837 What is 0.2479954 milligrams in kilograms? 0.0000002479954 How many nanograms are there in 31/2 of a microgram? 15500 What is five quarters of a second in milliseconds? 1250 What is 13/4 of a week in hours? 546 How many micrometers are there in fourty-two fifths of a centimeter? 84000 Convert 1.97822 days to microseconds. 170918208000 What is 6/5 of a litre in millilitres? 1200 How many months are there in 9/10 of a millennium? 10800 What is 44111.62 litres in millilitres? 44111620 How many years are there in 0.5280457 millennia? 528.0457 What is 59/3 of a year in months? 236 Convert 80304.3 litres to millilitres. 80304300 How many millilitres are there in five quarters of a litre? 1250 What is 5661.931ml in litres? 5.661931 What is fifty-eight thirds of a year in months? 232 What is five quarters of a year in months? 15 How many meters are there in 0.161513nm? 0.000000000161513 How many litres are there in 817834.9ml? 817.8349 How many micrometers are there in 93.99899 nanometers? 0.09399899 Convert 750.63996 microseconds to weeks. 0.0000000012411375 How many litres are there in 163.2454 millilitres? 0.1632454 Convert 47.725263us to hours. 0.0000000132570175 What is 83.86112 millilitres in litres? 0.08386112 How many milligrams are there in 27/5 of a gram? 5400 How many millilitres are there in 11/4 of a litre? 2750 Convert 196062.9 kilometers to centimeters. 19606290000 How many nanometers are there in 0.0985821 micrometers? 98.5821 What is twenty-one fifths of a millennium in centuries? 42 Convert 0.224149 decades to months. 26.89788 How many tonnes are there in 52148.78 micrograms? 0.00000005214878 How many grams are there in 7/8 of a kilogram? 875 How many micrometers are there in 9962.515 millimeters? 9962515 What is 2.755392 hours in days? 0.114808 Convert 126591.8g to tonnes. 0.1265918 How many grams are there in seven eighths of a kilogram? 875 How many micrometers are there in 45/8 of a millimeter? 5625 Convert 0.2230908ns to milliseconds. 0.0000002230908 How many days are there in 1293259.23ms? 0.014968278125 What is 4.066831ml in litres? 0.004066831 How many nanograms are there in six fifths of a microgram? 1200 What is 357.7924 centuries in millennia? 35.77924 How many millennia are there in 11.94405 years? 0.01194405 How many centimeters are there in 3/25 of a meter? 12 What is 419.9489 nanometers in millimeters? 0.0004199489 What is fourty-five eighths of a millennium in years? 5625 How many millilitres are there in 27/5 of a litre? 5400 How many seconds are there in 4452.427 hours? 16028737.2 What is 27.6466t in micrograms? 27646600000000 Convert 156.803ns to milliseconds. 0.000156803 Convert 94423.6 millilitres to litres. 94.4236 What is five sixths of a millennium in months? 10000 How many nanograms are there in nine tenths of a microgram? 900 Convert 1.1167347 months to years. 0.093061225 Convert 4850.965 micrograms to milligrams. 4.850965 Convert 6.792192 months to years. 0.566016 How many millilitres are there in twenty-one halves of a litre? 10500 Convert 6249.028um to meters. 0.006249028 What is 0.1169739l in millilitres? 116.9739 What is 2/125 of a minute
{ "pile_set_name": "DM Mathematics" }
e prob of picking 1 d, 1 h, and 1 g when three letters picked without replacement from {h: 1, c: 1, x: 1, g: 1, d: 3}. 3/35 Three letters picked without replacement from {w: 2, u: 11}. Give prob of picking 3 u. 15/26 Four letters picked without replacement from nnnnnnyoynznncnynncn. Give prob of picking 1 z, 1 y, 1 c, and 1 o. 2/1615 Three letters picked without replacement from {y: 1, k: 2, b: 2, v: 1, c: 1}. Give prob of picking 1 b, 1 y, and 1 c. 2/35 What is prob of picking 1 s and 2 b when three letters picked without replacement from ammsbmbwmaambscmm? 3/340 What is prob of picking 2 r when two letters picked without replacement from lrrrlllllr? 2/15 Calculate prob of picking 4 a when four letters picked without replacement from aaaa. 1 Three letters picked without replacement from {p: 3, x: 9}. Give prob of picking 3 x. 21/55 What is prob of picking 1 b and 1 j when two letters picked without replacement from jbj? 2/3 Calculate prob of picking 1 g and 1 j when two letters picked without replacement from gggjxfggggjx. 7/33 Three letters picked without replacement from zzzzzzoo. What is prob of picking 3 z? 5/14 Three letters picked without replacement from {a: 12, h: 3}. Give prob of picking 2 h and 1 a. 36/455 Calculate prob of picking 1 h, 1 z, and 1 n when three letters picked without replacement from fznolohfhffh. 3/220 Two letters picked without replacement from gllljljljlj. Give prob of picking 2 l. 3/11 Calculate prob of picking 2 j and 1 n when three letters picked without replacement from jvxvjvjjvxjjjnjnxvj. 24/323 What is prob of picking 1 u and 2 j when three letters picked without replacement from {u: 3, j: 2, f: 2, s: 8}? 3/455 Two letters picked without replacement from {o: 2, r: 1, z: 1, g: 1, c: 1, a: 2}. What is prob of picking 1 c and 1 z? 1/28 Two letters picked without replacement from {e: 8, q: 1, l: 3, y: 4, t: 1}. Give prob of picking 1 t and 1 e. 1/17 Calculate prob of picking 2 p when two letters picked without replacement from {h: 1, p: 2, r: 1, o: 2}. 1/15 Three letters picked without replacement from aacaacaaaac. What is prob of picking 1 c and 2 a? 28/55 Two letters picked without replacement from aktkkkkkkkk. What is prob of picking 1 t and 1 k? 9/55 What is prob of picking 1 c and 2 t when three letters picked without replacement from ipqccictccitiq? 5/364 Four letters picked without replacement from eekekdfeefdefke. What is prob of picking 2 e and 2 k? 3/65 Calculate prob of picking 2 y and 2 w when four letters picked without replacement from {z: 4, o: 1, w: 4, b: 1, y: 4, a: 3}. 9/595 Three letters picked without replacement from {i: 1, f: 1, o: 2, z: 1, l: 1, y: 1}. Give prob of picking 1 y, 1 f, and 1 o. 2/35 Calculate prob of picking 4 t when four letters picked without replacement from tttttt. 1 What is prob of picking 1 x, 1 v, and 1 f when three letters picked without replacement from {x: 12, v: 5, f: 2}? 40/323 Calculate prob of picking 2 o when two letters picked without replacement from yoojmmoomymygjbjb. 3/68 Two letters picked without replacement from dkdddddtdddkkddd. Give prob of picking 2 d. 11/20 What is prob of picking 1 y and 1 s when two letters picked without replacement from yjuusjupjlllyyplj? 3/136 Three letters picked without replacement from {q: 1, m: 6, c: 1, s: 2, j: 6, p: 2}. What is prob of picking 1 c and 2 p? 1/816 Two letters picked without replacement from {q: 3, d: 4, r: 2, b: 2}. Give prob of picking 1 r and 1 d. 8/55 Calculate prob of picking 1 x, 1 j, and 1 i when three letters picked without replacement from yixjo. 1/10 Two letters picked without replacement from fdfffdf. What is prob of picking 2 d? 1/21 Four letters picked without replacement from {t: 1, p: 5, g: 3, r: 6}. What is prob of picking 1 r and 3 g? 2/455 Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {x: 4, h: 6, v: 3, q: 1}. 6/91 Two letters picked without replacement from iizycz. What is prob of picking 1 z and 1 i? 4/15 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {r: 3, q: 3, l: 5, f: 1, w: 1}. 5/78 Two letters picked without replacement from {l: 2, z: 7, u: 4, a: 4, c: 1, y: 1}. Give prob of picking 2 z. 7/57 Three letters picked without replacement from {h: 2, b: 16}. What is prob of picking 3 b? 35/51 What is prob of picking 1 p and 3 w when four letters picked without replacement from {w: 5, p: 9}? 90/1001 Two letters picked without replacement from ldsdhclhljh. Give prob of picking 1 s and 1 h. 3/55 Four letters picked without replacement from sbbsbsbsbbbs. What is prob of picking 2 b and 2 s? 14/33 Four letters picked without replacement from ppsipsiissps. What is prob of picking 1 p, 2 s, and 1 i? 8/33 Two letters picked without replacement from {q: 14, m: 5}. What is prob of picking 1 m and 1 q? 70/171 Two letters picked without replacement from {l: 2, w: 3}. What is prob of picking 1 l and 1 w? 3/5 What is prob of picking 2 c when two letters picked without replacement from cczcczzcczcz? 7/22 Calculate prob of picking 3 b when three letters picked without replacement from bbbbbb. 1 Two letters picked without replacement from {g: 3, p: 1, q: 2, n: 1, f: 6}. Give prob of picking 1 g and 1 p. 1/26 Two letters picked without replacement from {c: 1, j: 2, q: 2, a: 3, w: 3, k: 1}. Give prob of picking 1 j and 1 k. 1/33 What is prob of picking 1 m and 2 e when three letters picked without replacement from memmemvevvmv? 3/44 Two letters picked without replacement from {u: 1, w: 1, j: 1, a: 1, k: 1}. Give prob of picking 1 a and 1 w. 1/10 Calculate prob of picking 1 b and 2 x when three letters picked without replacement from {p: 4, k: 3, b: 1, x: 2}. 1/120 What is prob of picking 1 h and 1 t when two letters picked without replacement from zhmzhqhhqt? 4/45 Four letters picked without replacement from sdcshplpc. What is prob of picking 1 d, 2 s, and 1 c? 1/63 Two letters picked without replacement from hopphpphpphppppphppp. What is prob of picking 1 o and 1 h? 1/38 Three letters picked without replacement from {m: 10, u: 2}. Give prob of picking 3 u. 0 What is prob of picking 1 l, 1 r, and 1 o when three letters picked without replacement from {r: 4, l: 5, p: 4, j: 1, o: 3, h: 1}? 5/68 Three letters picked without replacement from idhviriiiiibdihbib. Give prob of picking 1 b, 1 d, and 1 h. 1/68 Calculate prob of picking 2 e when two letters picked without replacement from {h: 1, r: 1, q: 5, e: 1, c: 2}. 0 Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, o: 2, q: 1, h: 1}. 1/15 What is prob of picking 2 g and 2 h when four letters picked without replacement from {g: 9, h: 2}? 6/55 Four letters picked without replacement from hehsehhseeheessee. What is prob of picking 1 e and 3 s? 8/595 What is prob of picking 1 l and 2 g when three letters picked without replacement from fjglxccgxxc? 1/165 What is prob of picking 1 x and 2 t when three letters picked without replacement from kxcttc? 1/20 Three letters picked without replacement from wggnwggw. Give prob of picking 3 g. 1/14 What is prob of picking 2 b, 1 y, and 1 i when four letters picked without replacement from {i: 1, y: 1, l: 1, b: 2}? 1/5 Two letters picked without replacement from ooiioojoujiioo. What is prob of picking 1 j and 1 o? 2/13 What is prob of picking 1 x and 2 n when three letters picked without replacement from nvnvvvvxvnvvnnnvvvx? 10/323 What is prob of picking 2 l and 2 x when four letters picked without replacement from hpxhlliiilhlixhhixxh? 12/1615 Four letters picked without replacement from {l: 4, f: 2}. What is prob of picking 2 l and 2 f? 2/5 Four letters picked without replacement from wwvvwvwwwvvvpwvbv. What is prob of picking 3 v and 1 p? 2/85 Two letters picked without replacement from yutuvtyuuttiutt. What is prob of picking 2 u? 2/21 Four letters picked without replacement from suvzvyuvzu. What is prob of picking 1 z, 2 v, and 1 u? 3/35 What is prob of picking 2 l and 2 k when four letters picked without replacement from {k: 7, l: 2}? 1/6 What is prob of picking 4 k when four letters picked without replacement from {z: 4, k: 10}? 30/143 Calculate prob of picking 2 g when two letters picked without re
{ "pile_set_name": "DM Mathematics" }
n d is divided by 49. 47 Suppose -5*b = f - 4283, -133*b - 4*f - 3436 = -137*b. What is the remainder when b is divided by 5? 2 Suppose 487 = 6*v + 19. What is the remainder when (-52)/v - (-7)/(-3)*-23 is divided by ((-44)/8)/(1/(-2))? 9 Let c(s) = -s**2 - 16*s - 29. Suppose -2*b + 223 = 67. Let t = 69 - b. Calculate the remainder when c(t) is divided by 12. 10 Let n = -2026 + 2186. Calculate the remainder when n is divided by 17. 7 Suppose 3*x - 3*w + 0*w - 21 = 0, 5*x + w = 23. What is the remainder when (-1877)/(-9) + (2552/198)/29 is divided by x? 4 Suppose 15*s - 85*s + 10010 = 0. What is the remainder when 706 is divided by s? 134 Let x(v) = v**3 - 6*v**2 - 2*v + 5. Let k(w) = -31*w**3 + w**2 + w - 1. Let i be k(-1). Suppose -i = 2*h - 7*h. What is the remainder when x(7) is divided by h? 4 Let s(p) = p**2 + 7*p + 5. Let r be s(-7). Suppose -l - 2*g = -54, -2*l - 56 + 169 = r*g. Suppose 2*y = y + l. What is the remainder when y is divided by 9? 8 Let d be (17/2 + -8)*4. Suppose 4*y - 4*m = 48, y + 4*m - 20 = d. Calculate the remainder when 37 is divided by y. 9 Let k be 54/8 + 2/8 + -22. Let w = 43 + -16. Let d = w + k. What is the remainder when 42 is divided by d? 6 Suppose -3*o + 4*o - 251 = 0. Let v(m) = 39*m - 96. What is the remainder when o is divided by v(3)? 20 Calculate the remainder when 239 is divided by 4 + -19 + (-1725)/(-25). 23 Let k = 5 - -1. Suppose -192*x + 196*x = -v + 28, v - 28 = -3*x. Calculate the remainder when v is divided by k. 4 Let p be (48/(-10))/(76/(-190)). Suppose p*c - 5472 = -6*c. What is the remainder when c is divided by 18? 16 Suppose -4849 = 18*g - 2487 - 2740. Calculate the remainder when 367 is divided by g. 10 Let j(m) = -82*m**2 - 11*m + 11. Let y be j(1). Let l = y + 91. What is the remainder when 106 is divided by l? 7 Let t be 61/7 + 32/112. Let j(s) = s**2 - 4*s - 10. Calculate the remainder when 174 is divided by j(t). 34 Let x = 5978 - 5088. Calculate the remainder when x is divided by 33. 32 Let n(s) = 32*s**3 - 14*s**2 + 30*s - 95. Calculate the remainder when n(6) is divided by 29. 26 Let x = -84 + 83. Let s be -103 + (0 + -1)*x. Let p = s + 104. Calculate the remainder when 5 is divided by p. 1 Let q(j) = 8*j + 415. Let c be 21 + -3 - (-1 + 3). Suppose -t + 2*t = -n + c, 5*n = 0. What is the remainder when q(-46) is divided by t? 15 Let c(q) = 5*q - 43. Suppose -3*y - 65 = 187. Calculate the remainder when c(11) is divided by y/(-18)*6/4. 5 Let f(o) = o**2 - 7*o - 10. Let z(l) = l + 4. Let b be z(8). Let g(s) = 2*s**2 - 8*s + 5. Calculate the remainder when f(b) is divided by g(5). 5 Suppose 0 = -40*r - 125 + 756 + 249. What is the remainder when 3185 is divided by r? 17 Suppose 5*a + 3*i = -2, -9*a + 4*a + 3*i + 22 = 0. Suppose -5*x - 3*z + 525 = -z, 3*x + a*z = 315. What is the remainder when x is divided by 9? 6 Let u = -810 - -1086. Calculate the remainder when 5530 is divided by u. 10 Suppose 9*z = 482 + 238. Suppose 7*n = 165 + z. What is the remainder when n is divided by 19? 16 Suppose -i - 4 = 8. Suppose -5*j = -3*z - 418, -2*j - 4*z + 187 = -27. What is the remainder when j is divided by (-45)/i*(1 - -3)? 14 Suppose -563 + 37 = -4*a + 190. Calculate the remainder when 515 is divided by a. 157 Suppose 3*j = 25 - 10. Let y(t) = t**3 + t**2 - 3*t - t**3 + 3*t**3 + 0 + j. Calculate the remainder when y(2) is divided by 7. 6 Suppose 5*d + 2*c - 17 - 61 = 0, 4*d - 59 = -5*c. Calculate the remainder when 2207 is divided by d. 15 Let c = -56 + 46. Let v be 16/40 - 36/c. Suppose 0 = -6*b + v*b + 52. What is the remainder when 129 is divided by b? 25 Let y = 1238 - 1184. What is the remainder when 212 is divided by y? 50 Suppose 0 = 261*x + 343 - 23833. Let b = -18 - -42. What is the remainder when x is divided by b? 18 Suppose -6 = -2*v - 3*h, -h + 4 - 10 = -2*v. Suppose -v*k = -2*r - 172, 13*k - 15*k + 123 = -3*r. What is the remainder when k is divided by 7? 5 Suppose -4*v = 6*h - 2*h - 16, 3*h - 15 = -2*v. Let s(l) = 2*l**3 - 10*l**2 - 15*l - 11. Calculate the remainder when 479 is divided by s(h). 79 Let s = 2 + -4. Calculate the remainder when (-5 - 2)*-43 + 8/s is divided by 101. 95 Let i(c) = -8*c - 38. Suppose -437*l + 336 = -416*l. What is the remainder when i(-9) is divided by l? 2 Suppose 28*k + 16*k = 266*k - 5106. Let h = -9 - -122. What is the remainder when h is divided by k? 21 Suppose 0 = -n + s + 686 + 1288, -2*s = -3*n + 5919. Calculate the remainder when n is divided by 42. 39 Let m(x) = 19*x**2 - 56*x + 285. Calculate the remainder when m(6) is divided by 31. 13 Suppose -172*i = -74757 - 13479. Calculate the remainder when i is divided by 85. 3 Let g(s) = 4*s**2 + 13*s - 30. Let j be g(-5). Calculate the remainder when 76 is divided by (-4)/16*-148 + j. 34 Suppose -116*i - 12 = -119*i, -5*s = i - 1179. Calculate the remainder when s is divided by 67. 34 Suppose -41*i + 371 = -121. Suppose -i*k + 18*k = 2154. Calculate the remainder when k is divided by 8. 7 Suppose -4*f - f - 20 = -5*h, 4*f + 14 = 3*h. Suppose v = -0*v + 12. Calculate the remainder when (-17 - -18)*-11*h*-1 is divided by v. 10 Let v be (-530)/(-6) - 4 - 2/6. Suppose 7*t = 9*t - v. Calculate the remainder when 249 is divided by t. 39 Suppose -101*t = -57*t - 396. Suppose t = 4*c + 5, -123 = -3*o - 3*c. Calculate the remainder when o is divided by 26. 14 Suppose 58 = -17*i + 262. Suppose 2*v - 40 = i*v. Calculate the remainder when 86 is divided by (-181)/v + 15/(-60). 41 Let t = -25 + -52. Let f = 96 + t. Calculate the remainder when f is divided by 5. 4 Suppose 4*n = -24, -301*y + 298*y + 54 = -3*n. Calculate the remainder when 609 is divided by y. 9 Let a(w) = -69*w**2 - 11*w - 40. Let o be a(-3). Let j = o + 641. What is the remainder when j is divided by 5? 3 Suppose -23 = 2*l - 25. Calculate the remainder when 1/((-3)/(-27)) - 3 is divided by l. 0 Let c be (518/(-35))/(3*3/(-135)). Let y = c + -117. What is the remainder when y is divided by 40? 25 Suppose -4 = -3*p - 4*a + 7, -4*p + 4*a + 24 = 0. Suppose 4*r + s = 1 + 6, 3*s - p = -4*r. Let b = 15 - 8. Calculate the remainder when b is divided by r. 1 Suppose 4 = 1410*q - 1406*q. What is the remainder when 234 is divided by q? 0 Suppose -2*d - 778 = -4*f, 3*f - 2*d - 239 = 342. Let t = 254 - f. Calculate the remainder when 184 is divided by t. 13 What is the remainder when 801 is divided by (-4)/(-14) - (-2 + (-14913)/63)? 84 Let z be ((-52)/(-10))/((-11)/(-330)). Suppose -z = -0*x - 4*x. Calculate the remainder when (1 - 3) + -3 + (6 - -153) is divided by x. 37 Let c = -507 - -513. Calculate the remainder when 62 is divided by (1 + c)/(-10*10/(-300)). 20 Let p be -7 - -2 - (-7 + 7). Let z be ((-5)/(-3))/(p/(-240)). Suppose z = r - 2*j, -2*j = -r - 5*j + 85. Calculate the remainder when r is divided by 28. 26 Suppose -10810 = -30*t + 11960. Suppose t = -28*s + 39*s. Calculate the remainder when s is divided by 8. 5 Suppose 65*w - 76797 = 44*w - 48*w. What is the remainder when w is divided by 331? 120 Suppose 108*s - 79*s - 5916 = 0. What is the remainder when 843 is divided by s? 27 Suppose 0 = r - 2*r + 2*q, -4*q = 5*r - 28. Suppose 0 = f - 3, -r*a + f + 312 = -3*f. Suppose -3 = -5*b + 207. Calculate the remainder when a is divided by b. 39 Let a = 48485 + -48433. Calculate the remainder when 1756 is divided by a. 40 Let p(t) = -4*t + 24. Let f be p(-12). Suppose -5*u = -f - 23. Suppose 0*s - m - 136 = -2*s, 3*m = 6. What is the remainder when s is divided by u? 12 Let z(v) = v**2 - 4*v + 8. Let p be (1 + 6)*2/2. Suppose -577*r - 46 = -579*r - 5*g, -r - g + 14 = 0. Calculate the remainder when z(p) is divided by r. 5 Let o = 181 + -166. Suppose 3*l = 6, -5*l + 65 + 63 = 2*y. What is the remainder when y is divided by o? 14 Suppose 26*b = -12*b + 494. Calculate the remainder when 86 is divided by b. 8 Let t(a) = a**3 - 2*a**2 - 6*a + 25. Let w be t(9). Suppose -13*r + w = -749. Calculate the remainder when r is divided by 25. 24 Let z = -23 - -27. Suppose 2*a - r - 26 = z*r, -3*a + 29 = -5*r. Suppose 123 = a*y + 2*i, -3*y + 71 = -y + 5*i. Calculate the remainder when 83 is divided by y. 40 Calculate the remainder when 1067 is divided by 1*(-10 + 61 + 0 + (-8)/4). 38 Let k(d) = -4*d**3 + 2*d**2 + 3*d + 2. Let p be k(-1). Suppose -9*c +
{ "pile_set_name": "DM Mathematics" }
5, 125, 2, -0.4, -3? -0.4 Which is the second biggest value? (a) 8 (b) 2/3 (c) -1 (d) 0.4 b Which is the biggest value? (a) -5 (b) -1 (c) -8/3 (d) -0.97 d What is the third biggest value in -100, -2/15, 0.07? -100 Which is the fourth biggest value? (a) 7 (b) -6/5 (c) -0.3 (d) 1/4 (e) 4 c What is the second smallest value in 3, 0.1, 3.4, 3/4? 3/4 Which is the third biggest value? (a) -2.721 (b) 0 (c) 0.1 a Which is the fifth smallest value? (a) 2/15 (b) 5/2 (c) -15.6 (d) 5 (e) 4 d Which is the fourth smallest value? (a) -1 (b) 0.4 (c) -19.7 (d) -5 b Which is the smallest value? (a) -1 (b) -6 (c) 183 b What is the second biggest value in -4, -3, -3/413? -3 What is the smallest value in 12, -25, -0.4? -25 What is the biggest value in 17.5, 0, 1/3, 2/3, 0.5? 17.5 Which is the third biggest value? (a) 0.01 (b) -3/134 (c) 0 (d) 1/8 (e) 0.5 a What is the third smallest value in 2/9, -1/3, 2/7, 0.4? 2/7 Which is the second smallest value? (a) 3/7 (b) 1/7 (c) -0.4 (d) 31 b Which is the second biggest value? (a) -2.7 (b) 2/3 (c) -306 a Which is the biggest value? (a) -3 (b) -3/4 (c) 24.63 c Which is the fourth smallest value? (a) 1/7 (b) 0.1 (c) 0.3 (d) -0.3 c Which is the fourth smallest value? (a) 0.2 (b) 4/7 (c) 2 (d) -0.4 (e) 1175 c Which is the biggest value? (a) 2/7 (b) 4 (c) -0.1 (d) 2/9 b What is the second smallest value in -0.09, -0.013, -5? -0.09 Which is the biggest value? (a) 1/5 (b) 2 (c) -2.1 (d) 1/4 b What is the second biggest value in -1/114, 2/3, 0.3? 0.3 What is the third biggest value in 0.22, -0.2, 0.7? -0.2 Which is the third smallest value? (a) 0.2 (b) -0.3 (c) 13 c Which is the second smallest value? (a) -5 (b) 63 (c) 4 c What is the smallest value in -1, 2/13, 0.3, 3, -3/4? -1 Which is the smallest value? (a) -7 (b) 11 (c) 0 a Which is the third smallest value? (a) 0 (b) 3.9 (c) -4 b What is the fourth biggest value in 2/23, 5, -8, -0.1? -8 What is the second biggest value in 1.19, 1/3, 0.3? 1/3 Which is the fourth biggest value? (a) 1 (b) -4 (c) -17/16 (d) -0.1 b What is the third biggest value in -30, 2/7, 0.4, -2? -2 What is the second smallest value in -7, -0.2, -18? -7 What is the biggest value in -2/7, -4, -0.062, -1/2? -0.062 Which is the smallest value? (a) -35 (b) -0.5 (c) 2 a Which is the fourth smallest value? (a) 2/17 (b) 0.4 (c) 5 (d) -0.07 (e) -5 b What is the biggest value in 8, 0.5, 0.6? 8 What is the third smallest value in -5, -6/5, -0.02, -9? -6/5 Which is the fourth biggest value? (a) -1 (b) -44 (c) -6 (d) -0.3 b What is the fourth smallest value in 27/5, -0.2, 2, 1? 27/5 Which is the third biggest value? (a) -3/8 (b) -3 (c) 0.6 (d) 0.055 a What is the second smallest value in -1/2, 4, -34/77? -34/77 What is the second smallest value in 0.2, 24, -60? 0.2 Which is the third smallest value? (a) 2 (b) 2/7 (c) 1/4 a What is the fourth smallest value in 1.1, -1, -3, 18? 18 Which is the third smallest value? (a) -2 (b) -13.1 (c) -5 a Which is the fourth biggest value? (a) -0.2 (b) -2/7 (c) -19 (d) 6 (e) 3 b Which is the fourth smallest value? (a) 0.3 (b) -0.07 (c) 0.15 (d) -2 a Which is the biggest value? (a) -0.4 (b) 2/531 (c) -0.2 b Which is the second biggest value? (a) 0.03 (b) 4 (c) -654 a Which is the fourth smallest value? (a) -0.1 (b) -0.24 (c) 3 (d) 0.4 c Which is the third smallest value? (a) -0.02 (b) -0.3 (c) -1/22 (d) 1 a Which is the biggest value? (a) 1472 (b) 1 (c) 2/5 a Which is the smallest value? (a) -0.3 (b) -2 (c) 52 (d) 2 (e) 0.1 b What is the third biggest value in 1, 0.3, -0.04, -7? -0.04 What is the smallest value in -4, -0.4, -2/15, -3/35, -0.1? -4 What is the fourth smallest value in 3, 0, 137, 5? 137 Which is the third smallest value? (a) -2/3 (b) 0.1 (c) -9 (d) 15 b Which is the fourth smallest value? (a) 0.3 (b) -3/11 (c) 0 (d) -0.1 a What is the smallest value in -3, -1, -35/8, 1/4? -35/8 What is the third smallest value in 5, -0.2, 2/5, 7.2? 5 Which is the second smallest value? (a) 3/2 (b) -3/2 (c) 0.124 c Which is the third smallest value? (a) -1 (b) -4 (c) 38 c What is the second biggest value in 3/7, -9, -3/7, -1/4? -1/4 What is the third smallest value in -0.3, -1/79, -3? -1/79 What is the third biggest value in 1/7, 5/71, -2? -2 Which is the biggest value? (a) -2/9 (b) -5 (c) 13 (d) -6 c What is the fourth biggest value in -2, -5, -2/51, 2.8? -5 What is the biggest value in -0.1, 0.3, 0.44, 2/11? 0.44 Which is the second smallest value? (a) -22 (b) -10 (c) -2 b Which is the fourth biggest value? (a) 5/3 (b) -2 (c) -1/4 (d) 2/9 b Which is the fourth smallest value? (a) 2 (b) 1/7 (c) 2/9 (d) -304 (e) 4 a Which is the smallest value? (a) 8/73 (b) 2 (c) 3 a What is the fifth smallest value in -20, -0.3, -0.1, 16, -4/3? 16 Which is the fifth smallest value? (a) 0.3 (b) -0.3 (c) -13 (d) -5 (e) -0.1 a Which is the third smallest value? (a) -4 (b) 4 (c) -94 (d) 2/9 (e) 0 e What is the second biggest value in 1/7, 0, 2/69? 2/69 What is the biggest value in 37.3, -1/4, -1/5? 37.3 Which is the biggest value? (a) 81 (b) -0.18 (c) 2/15 a Which is the smallest value? (a) -2 (b) 5/3 (c) 7 (d) 4 a What is the smallest value in 2, -8/55, 1? -8/55 Which is the fourth smallest value? (a) 2/13 (b) 1/20 (c) 0.01 (d) 5 d Which is the third biggest value? (a) 3 (b) -2 (c) 1.7 b Which is the second biggest value? (a) 5/12 (b) 0.4 (c) 0.5 a What is the smallest value in -16, 3/38, 0.4? -16 What is the second smallest value in -0.05, 6, 1/2, -2/9? -0.05 Which is the second smallest value? (a) 0 (b) -2 (c) -5 (d) -1/8 (e) 4/9 b What is the smallest value in -2, -0.204, 4? -2 Which is the third biggest value? (a) 4 (b) 3 (c) -4 (d) 5/4 (e) -45 d Which is the second smallest value? (a) 0.1 (b) -1 (c) -11.8 b What is the second biggest value in 2/99, 1, 0.3? 0.3 What is the smallest value in 2, -0.5, -3, -0.023? -3 Which is the third biggest value? (a) 104 (b) 9 (c) -9 c What is the third smallest value in -3, 0, 0.4? 0.4 Which is the second biggest value? (a) -5 (b) 0 (c) 5/62 (d) -4 b Which is the third smallest value? (a) -1 (b) -1/8 (c) 3/4 (d) 0 (e) -0.5 b Which is the fourth biggest value? (a) 3 (b) 0 (c) -5 (d) 0.046 c What is the second biggest value in -605, -0.2, 0.2, 0.3? 0.2 Which is the biggest value? (a) 33 (b) 1 (c) 2/7 (d) -0.1 a Which is the second smallest value? (a) 2 (b) -5 (c) 3 (d) 4 (e) -2/5 e What is the biggest value in 4, 1/3, 361, 2? 361 What is the second biggest value in -3, -7, 2/3, -74? -3 What is the smallest value in -5, 1, 4/7, -11, 0.4? -11 Which is the fourth biggest value? (a) 2 (b) -3 (c) 0.3 (d) -6 d What is the fifth biggest value in 5/3, 1/8, 1/5, -28, -5? -28 Which is the fourth smallest value? (a) 0.7 (b) -0.5 (c) 4 (d) -0.4 (e) 21 c What is the second biggest value in -2/7, 0.59, -1/5, -4? -1/5 Which is the second biggest value? (a) -3 (b) -1 (c) 4 (d) 203 c Which is the biggest value? (a) 0.06 (b) -13 (c) -2/5 (d) 0.2 d Which is the biggest value? (a) -1.14 (b) -1/2 (c) -4 b Which is the third smallest value? (a) 2 (b) -3 (c) 0.12 (d) 1 (e) -0.1 c What is the smallest value in 2/13, -1.2, -105? -105 Which is the smallest value? (a) 8 (b) 2/3 (c) 0.43 c Which is the third biggest value? (a) -18 (b) 0.3 (c) 43 a What is the fourth smallest value in 1/4, -111, -0.5, -5? 1/4 Which is the third biggest value? (a) -1/6 (b) -0.3 (c) -2 (d) -3 c Which is the second biggest value? (a) -5/2 (b) 257 (c) -2/15 c Which is the second biggest value? (a) 6 (b) 0.9 (c) 3 c Which is the second biggest value? (a) 49 (b) 13 (c) 4 b What is the fourth biggest value in -51, 1/9, 2, 1/7? -51 What is the third biggest value in 18/7, 0.5, 10? 0.5 What is the second biggest value in -3, -4, 3/4, -6/7? -6/7 What is the third smallest value in -2/43, -1/7, 0, -2/7? -2/43 What is the second smallest value in 14, -13, 2? 2 What is the third biggest value in 3173, 2, 0.3, -0.3? 0.3 Which is the third smallest value? (a) -2 (b) -39 (c) 0 c Which is the third smallest value? (a) -1853 (b) -0.4 (c) 1 c What is the thir
{ "pile_set_name": "DM Mathematics" }
173 In base 13, what is 51 + 3? 54 In base 12, what is -2 + -24? -26 In base 9, what is 326 - -3? 330 In base 3, what is 10121020 - 11? 10121002 In base 13, what is 44 + -1? 43 In base 7, what is -123 - -64? -26 In base 14, what is 7 - 37? -30 In base 3, what is 11 + -211011? -211000 In base 10, what is 30 - -2? 32 In base 15, what is 2 - -90? 92 In base 16, what is -382 - 3? -385 In base 10, what is -36 - -2? -34 In base 8, what is -36 - 12? -50 In base 3, what is 2 + 2011? 2020 In base 16, what is 38 - -7? 3f In base 8, what is 157 - 4? 153 In base 2, what is 10111 - 1011? 1100 In base 15, what is 22 + -ac? -8a In base 16, what is -4 + a7? a3 In base 9, what is 2180 + 3? 2183 In base 7, what is 1 + -23? -22 In base 12, what is -7 + 872? 867 In base 13, what is -1 + -4a? -4b In base 7, what is -1120 - -2? -1115 In base 13, what is -3 + -6c2? -6c5 In base 12, what is -75 + 2? -73 In base 2, what is -1001 - 11001000001? -11001001010 In base 10, what is 5 - -452? 457 In base 14, what is 5 + 40? 45 In base 5, what is -1 + 210? 204 In base 5, what is 2230 + -10? 2220 In base 5, what is -3 - 220? -223 In base 6, what is 34 + -45? -11 In base 15, what is 49a + -6? 494 In base 4, what is -2313 + -133? -3112 In base 10, what is 4 + 9? 13 In base 2, what is -100 - 1010111110? -1011000010 In base 15, what is -87 - -3? -84 In base 10, what is 2 - 164? -162 In base 8, what is 3515 + 4? 3521 In base 8, what is -1356 + 0? -1356 In base 2, what is 11 + 10000010? 10000101 In base 15, what is -db + 4? -d7 In base 7, what is 13 + -161? -145 In base 2, what is 100111011 + -100? 100110111 In base 16, what is -41 + -30? -71 In base 3, what is 2010002 - -20? 2010022 In base 11, what is -49 - 3? -51 In base 3, what is 201220 - 2? 201211 In base 9, what is 668 - -5? 674 In base 11, what is 303 + 4? 307 In base 3, what is -1022120 + -22? -1022212 In base 2, what is -111111 + 1? -111110 In base 11, what is -1446 + 5? -1441 In base 13, what is -1 + -649? -64a In base 14, what is 35 + 1? 36 In base 10, what is 3 + 29? 32 In base 8, what is 120022 + 5? 120027 In base 13, what is -3 - -107? 104 In base 10, what is -17 + 287? 270 In base 12, what is -3 + -3909? -3910 In base 15, what is -196 + -4b? -1e2 In base 2, what is 110010001110 + -10? 110010001100 In base 2, what is -1011 - -10? -1001 In base 10, what is -586 + 5? -581 In base 4, what is 21 + -1200? -1113 In base 3, what is 10 - 1022110? -1022100 In base 5, what is 230032 + 10? 230042 In base 15, what is -2 + 280? 27d In base 13, what is 3 - -77? 7a In base 9, what is -311 - -3? -307 In base 5, what is -22 + 20? -2 In base 10, what is -6507 - -1? -6506 In base 5, what is 20 + 1? 21 In base 7, what is 4 - -1001? 1005 In base 7, what is 504 - -12? 516 In base 2, what is 10001111101 + 10? 10001111111 In base 2, what is 100001110011110 - -10? 100001110100000 In base 12, what is 31 - 8? 25 In base 4, what is -203 + 23? -120 In base 7, what is 0 + -301? -301 In base 10, what is -38 + 4? -34 In base 14, what is 9c + 9? a7 In base 9, what is 564 - -10? 574 In base 7, what is -355 - -30? -325 In base 11, what is -2a09 + 4? -2a05 In base 13, what is -9 + 12c? 123 In base 6, what is 30 + 0? 30 In base 15, what is c - c? 0 In base 8, what is 3 + -50? -45 In base 15, what is 5 + -10? -a In base 4, what is 12102011 - 10? 12102001 In base 10, what is -3 + -53? -56 In base 14, what is 4b - -c? 59 In base 9, what is -2 + -1251? -1253 In base 5, what is -10 - -24? 14 In base 13, what is 2b0 + -6? 2a7 In base 9, what is -3 - 1067? -1071 In base 8, what is 7 + 7? 16 In base 2, what is -100011 + -1001000? -1101011 In base 9, what is 115 + 0? 115 In base 11, what is -4 + -217? -220 In base 11, what is -1 + -80? -81 In base 13, what is 3 - -72? 75 In base 12, what is -8ab - -4? -8a7 In base 8, what is -1 + 7? 6 In base 16, what is 5e9 + -3? 5e6 In base 12, what is 6 + 175? 17b In base 16, what is 3 - 3a? -37 In base 15, what is -1d2 - 5? -1d7 In base 7, what is -12 + -103? -115 In base 7, what is 5 + -21? -13 In base 5, what is 32 - 11420? -11333 In base 9, what is -5841 + -5? -5846 In base 9, what is 136 + 73? 220 In base 5, what is -10 - -303? 243 In base 2, what is -1110 - -101? -1001 In base 4, what is 11 - 23202? -23131 In base 4, what is 23200 - 0? 23200 In base 8, what is 2 + 433? 435 In base 12, what is 0 - -48? 48 In base 15, what is 0 + -16b? -16b In base 14, what is 303 - 0? 303 In base 4, what is -10320 + -103? -11023 In base 2, what is 1 - 1110? -1101 In base 5, what is 1 - -230? 231 In base 9, what is -120 - -2? -117 In base 13, what is a - 45? -38 In base 14, what is 1b - -8d? aa In base 12, what is -5 + -136b? -1374 In base 4, what is 3 - 113230? -113221 In base 5, what is 21 - -23423? 23444 In base 13, what is -2b37 - 1? -2b38 In base 9, what is -5 + -51? -56 In base 2, what is -100 - 10011000? -10011100 In base 14, what is -2 - a9? -ab In base 8, what is -166 + -3? -171 In base 8, what is 116 - 4? 112 In base 6, what is 1012 + 4? 1020 In base 11, what is 1 + 20? 21 In base 9, what is 81 - -176? 267 In base 16, what is 5 + -1a2? -19d In base 7, what is 14 - -20? 34 In base 15, what is c6 - -28? ee In base 4, what is 10 + 1310? 1320 In base 6, what is 3 - -10053? 10100 In base 4, what is -11 - 1002? -1013 In base 9, what is -170 - 66? -246 In base 16, what is -16d + 0? -16d In base 6, what is 2002 + -1? 2001 In base 13, what is 0 + -64? -64 In base 3, what is -1011012 + -12? -1011101 In base 2, what is -11000 - 101? -11101 In base 3, what is -11 - 20012? -20100 In base 16, what is -236 + -3? -239 In base 12, what is 2b02 + -5? 2ab9 In base 9, what is -666 - 0? -666 In base 16, what is -59 - -14? -45 In base 7, what is -4 + -31? -35 In base 11, what is 2 + 15? 17 In base 10, what is 920 + 5? 925 In base 6, what is -25 - -11? -14 In base 2, what is 101 - -11100101? 11101010 In base 15, what is -1d - -98? 7a In base 3, what is -10211 - 11? -10222 In base 8, what is 153 - -5? 160 In base 4, what is 10123 + -3? 10120 In base 3, what is -2 - -11102? 11100 In base 3, what is 1 - -1222? 2000 In base 11, what is -191 - -28? -164 In base 14, what is -6 - 146? -14c In base 7, what is 10 + 242? 252 In base 6, what is -150 + -2? -152 In base 5, what is 44 - 1432? -1333 In base 13, what is -44b + 2? -449 In base 8, what is -2 + -52? -54 In base 4, what is 13 - 30? -11 In base 7, what is -4 - -1136? 1132 In base 10, what is 48 - -17? 65 In base 4, what is 10101 + -1? 10100 In base 14, what is -2b0 - -4? -2aa In base 6, what is -23 - -2? -21 In base 15, what is -705 - 2? -707 In base 11, what is 2 + 14? 16 In base 7, what is -134 - 4? -141 In base 7, what is -3 - -463? 460 In base 3, what is 12 - 1121? -1102 In base 14, what is 185 + -5? 180 In base 12, what is 80 + 4? 84 In base 9, what is 0 + 87? 87 In base 11, what is a37 + -5? a32 In base 13, what is 0 + b4? b4 In base 8, what is 5 - -33? 40 In base 8, what is 2706 - 2? 2704 In base 2, what is -101 - -11101000? 11100011 In base 6, what is 2 + 201? 203 In base 12, what is -a5 + -4? -a9 In base 9, what is 10 - 41? -31 In base 10, what is -146 - 3? -149 In base 8, what is 2 - -66? 70 In base 16, what is -47a + 1? -479 In base 4, what is 212012 + -1? 212011 In base 8, what is -1253 - 3? -1256 In base 15, what is -6 - -58a? 584 In base 4, what is -1012 + -112? -1130 In base 8, what is 3 - 3303? -3300 In base 2, what is -1001 + 1011? 10 In base 6, what is 400 - -45? 445 In base 8, what is 366 + 3? 371 In base 5, what is -2100331 + -10? -2100341 In base 7, what is -1032 + -65? -1130 In base 10, what is -54 + 8? -46 In base 5, what is 1022 - -103? 1130 In base 15, what is 34 + 8? 3c In base 14, what is 46 - 6? 40 In base 4, what is 103 + 12? 121 In base 8, what is -3 - 114? -117 In base 16, what is -205 - 1? -206 In base 3, what is -101 + 1000000? 222122 In base 5, what is 42042 + 4? 42101 In base 11, what is -22 - 167? -189 In base 9, what is -158 + 44? -114 In base 8, what is 106 - -305? 413 In base 6, what is 135 - -4? 143 In base 7, what is -3 - 13? -16 In base 10, what is -5 - 101? -106 In base 7, what is -24514 + 0? -24514 In base 6, what is 2301 - -5? 2310 In base 15, what is b36 + 2? b38 In base 6, what is 11540 - -3? 11543 In base 4, what is 10 - 31? -21 In base 15, what is 54 -
{ "pile_set_name": "DM Mathematics" }
*u + 2765952 = 0. -588, 2 Solve -2*d**5/13 + 456*d**4/13 + 920*d**3/13 + 4*d**2/13 - 918*d/13 - 460/13 = 0 for d. -1, 1, 230 Factor 2*q**2/9 + 1196*q/9 - 800/3. 2*(q - 2)*(q + 600)/9 Determine n so that -3*n**3 - 54*n**2 - 243*n = 0. -9, 0 Solve -s**4/3 + s**3/3 + 6*s**2 - 52*s/3 + 40/3 = 0. -5, 2 Solve -2*o**2 - 7012*o - 6146018 = 0 for o. -1753 Find r such that 9*r**2 - 92*r + 160 = 0. 20/9, 8 Solve 3*j**3 - 45*j**2 + 81*j - 39 = 0 for j. 1, 13 Factor 2*s**2 + 7188*s + 6458418. 2*(s + 1797)**2 Determine q so that -2*q**2/23 + 2016*q/23 - 508032/23 = 0. 504 Factor -2*l**2 + 26*l - 84. -2*(l - 7)*(l - 6) Determine r so that 4*r**3/7 + 54*r**2/7 + 2*r - 156/7 = 0. -13, -2, 3/2 Factor -u**3/4 - 15*u**2/2 + 31*u/4. -u*(u - 1)*(u + 31)/4 Solve 3*k**2/5 - 306*k/5 + 984 = 0 for k. 20, 82 Factor -3*n**3 + 135*n**2 - 1701*n + 6561. -3*(n - 27)*(n - 9)**2 Solve -18*a**3 - 195*a**2 - 600*a - 375 = 0 for a. -5, -5/6 Factor 3*k**5 + 405*k**4 + 13869*k**3 + 13467*k**2. 3*k**2*(k + 1)*(k + 67)**2 Factor -3*f**2/5 + 216*f/5 - 3213/5. -3*(f - 51)*(f - 21)/5 Solve -g**5/2 - g**4/2 + g**3/2 + g**2/2 = 0. -1, 0, 1 Let 3*g**2 + 4*g/3 = 0. What is g? -4/9, 0 Determine g so that 4*g**3/9 + 2*g**2/9 - 26*g/9 + 4/3 = 0. -3, 1/2, 2 What is b in -3*b**2 - 5454*b - 2478843 = 0? -909 Factor -b**2 + 3208*b - 2572816. -(b - 1604)**2 Let -196*p**5 - 532*p**4 + 2124*p**3 - 572*p**2 + 40*p = 0. What is p? -5, 0, 1/7, 2 Factor -a**2/2 - 3*a/2 - 1. -(a + 1)*(a + 2)/2 Suppose -2*f**2 - 4700*f - 2761250 = 0. What is f? -1175 Factor 42*o**2 + 22*o - 20. 2*(o + 1)*(21*o - 10) Suppose -2*o**4 - 572*o**3 - 40896*o**2 + 572*o + 40898 = 0. Calculate o. -143, -1, 1 Factor -a**2/5 + 3134*a/5 - 2455489/5. -(a - 1567)**2/5 Factor -18*x**3 + 8*x**2 - 8*x/9. -2*x*(9*x - 2)**2/9 Factor y**5/6 - y**4 - y**3/6 + y**2. y**2*(y - 6)*(y - 1)*(y + 1)/6 Suppose -5*o**2 + 3135*o + 3140 = 0. Calculate o. -1, 628 Factor 2*j**2/11 + 14*j/11 + 24/11. 2*(j + 3)*(j + 4)/11 Factor 4*v**3 - 128*v**2 - 1516*v + 1640. 4*(v - 41)*(v - 1)*(v + 10) Factor m**5/4 + 7*m**4/2 + 19*m**3 + 99*m**2/2 + 243*m/4 + 27. (m + 1)*(m + 3)**3*(m + 4)/4 Determine i so that -i**2/5 - 44*i/5 - 484/5 = 0. -22 Factor 2*b**2 - 116*b + 224. 2*(b - 56)*(b - 2) Factor -1587*n**4/5 + 414*n**3/5 - 27*n**2/5. -3*n**2*(23*n - 3)**2/5 What is c in -4*c**4 + 20*c**3 - 80*c + 64 = 0? -2, 1, 2, 4 Factor 4*n**3 - 12*n - 8. 4*(n - 2)*(n + 1)**2 Factor -i**3/7 - 96*i**2/7 - 1065*i/7 + 166. -(i - 1)*(i + 14)*(i + 83)/7 What is k in -4*k**5 - 4*k**4 + 20*k**3 + 4*k**2 - 32*k + 16 = 0? -2, 1 Factor d**4/3 - 7*d**3/3 - 49*d**2/3 + 55*d/3. d*(d - 11)*(d - 1)*(d + 5)/3 Let 4*o**3/7 - 15900*o**2/7 = 0. What is o? 0, 3975 Determine v, given that -3*v**3/2 - 33*v**2/2 + 279*v/2 - 459/2 = 0. -17, 3 Suppose 2*g**2/3 - 6 = 0. What is g? -3, 3 Let 3*d**5 - 6*d**4 - 33*d**3 + 24*d**2 + 60*d - 48 = 0. Calculate d. -2, 1, 4 Factor 98*y**4 - 16296*y**3 + 679772*y**2 - 193224*y + 13778. 2*(y - 83)**2*(7*y - 1)**2 Factor -2*u**2/9 - 36*u - 1458. -2*(u + 81)**2/9 Find u, given that -2*u**4/7 + 242*u**3/7 - 1840*u**2/7 + 3616*u/7 = 0. 0, 4, 113 Factor 2*t**2/17 + 90*t/17 - 500/17. 2*(t - 5)*(t + 50)/17 Factor -7*k**2/4 - 9*k/2 - 2. -(k + 2)*(7*k + 4)/4 What is k in k**3/3 - 131*k**2/3 + 128*k/3 + 260/3 = 0? -1, 2, 130 Find v, given that 3*v**3 + 27*v**2 - 30*v = 0. -10, 0, 1 Factor 2*t**2 + 412*t + 6768. 2*(t + 18)*(t + 188) Factor -y**2/6 - 3*y/2 - 3. -(y + 3)*(y + 6)/6 Suppose -u**2/8 + u = 0. What is u? 0, 8 Let -5*p**4 - 2005*p**3 - 9915*p**2 - 5895*p + 17820 = 0. Calculate p. -396, -3, 1 Solve t**3/3 - 11*t**2/3 + 31*t/3 - 7 = 0 for t. 1, 3, 7 Factor -d**2/2 + 13*d - 24. -(d - 24)*(d - 2)/2 Factor -2*o**3 + 53*o**2 + 86*o - 56. -(o - 28)*(o + 2)*(2*o - 1) Factor 3*g**2 + 66*g + 336. 3*(g + 8)*(g + 14) Find n, given that 5*n**3 - 55*n**2 - 130*n = 0. -2, 0, 13 Factor -2*g**3/7 + 30*g**2/7 - 4*g. -2*g*(g - 14)*(g - 1)/7 What is i in 3*i**2 + 474*i - 477 = 0? -159, 1 Factor -3*r**5/7 + 15*r**4/7 - 30*r**3/7 + 30*r**2/7 - 15*r/7 + 3/7. -3*(r - 1)**5/7 What is v in -v**2 + 2*v + 99 = 0? -9, 11 Let 2*h**3 - 12*h**2 + 18*h = 0. What is h? 0, 3 Solve -v**4/8 + 47*v**3/8 - 477*v**2/8 - 1775*v/8 - 625/4 = 0. -2, -1, 25 Factor 2*t**2/5 - 576*t/5 + 41472/5. 2*(t - 144)**2/5 Suppose g**2 - 35*g + 234 = 0. What is g? 9, 26 Determine d, given that -d**4/4 + 21*d**3/8 - 8*d**2 + 63*d/8 - 9/4 = 0. 1/2, 1, 3, 6 Factor 177*u**2 + 360*u + 12. 3*(u + 2)*(59*u + 2) Factor -2*f**2/3 + 140*f/3 - 46. -2*(f - 69)*(f - 1)/3 Factor y**3 - 14*y**2 + 39*y + 54. (y - 9)*(y - 6)*(y + 1) Suppose 3*d**3/5 + 138*d**2/5 + 2091*d/5 + 10404/5 = 0. What is d? -17, -12 Determine c so that -2*c**4 - 233*c**3 + 117*c**2 = 0. -117, 0, 1/2 Find m, given that 488*m**5 + 106*m**4 - 492*m**3 - 106*m**2 + 4*m = 0. -1, -1/4, 0, 2/61, 1 Let 2*n**2 + 58*n - 60 = 0. Calculate n. -30, 1 What is n in 5*n**2 + 135*n + 250 = 0? -25, -2 Find a, given that -867*a**3 + 24072*a**2 + 5700*a + 336 = 0. -2/17, 28 Let -2*o**2 + 632*o - 49928 = 0. Calculate o. 158 Suppose -s**2 + 13*s + 14 = 0. Calculate s. -1, 14 Suppose -x**4/4 - 27*x**3/4 - 99*x**2/2 + 648 = 0. Calculate x. -12, -6, 3 Determine u so that -25*u**3 - 90*u**2 + 40*u = 0. -4, 0, 2/5 Factor 5*b**2 + 53750*b + 144453125. 5*(b + 5375)**2 Find d such that 3*d**4/5 - 38*d**3/5 - 16*d**2/5 + 38*d/5 + 13/5 = 0. -1, -1/3, 1, 13 Factor 3*h**3/2 - 6*h**2 - 3*h/2 + 6. 3*(h - 4)*(h - 1)*(h + 1)/2 Suppose 2*n**4 + 18*n**3 + 44*n**2 - 64 = 0. Calculate n. -4, -2, 1 Factor -l**4/8 - l**3/4 + 7*l**2/8 + 5*l/2 + 3/2. -(l - 3)*(l + 1)*(l + 2)**2/8 Factor 5*f**4 + 50*f**3 - 60*f**2 - 50*f + 55. 5*(f - 1)**2*(f + 1)*(f + 11) Find h such that 2*h**3/3 - 18*h**2 = 0. 0, 27 Factor -3*i**4 + 36*i**3 - 129*i**2 + 72*i + 240. -3*(i - 5)*(i - 4)**2*(i + 1) Find a such that -2*a**4/11 + 296*a**3/11 - 3360*a**2/11 + 13184*a/11 - 17408/11 = 0. 4, 136 Find h, given that h**3/7 - 75*h/7 - 250/7 = 0. -5, 10 What is r in -r**2/6 + 11*r/3 = 0? 0, 22 Find h, given that 15*h**4 + 115*h**3 - 50*h**2 - 80*h = 0. -8, -2/3, 0, 1 Find i such that 722*i**2/7 - 456*i/7 + 72/7 = 0. 6/19 Factor -l**2/8 - 55*l/4 - 321/8. -(l + 3)*(l + 107)/8 Suppose 3*x**3 - 12*x**2 - 12*x + 48 = 0. What is x? -2, 2, 4 Determine z, given that -4*z**2 + 22720*z - 32262400 = 0. 2840 Suppose -2*s**5/9 + 4*s**4/3 + 8*s**3/3 - 140*s**2/9 - 50*s/3 = 0. Calculate s. -3, -1, 0, 5 Suppose -3*n**4/4 - 387*n**3/4 - 13047*n**2/4 - 36477*n/4 - 11907/2 = 0. What is n? -63, -2, -1 Factor -3*a**3/4 - 3*a**2 + 417*a/4 + 429/2. -3*(a - 11)*(a + 2)*(a + 13)/4 Determine f so that -f**2/3 + 258*f + 1552/3 = 0. -2, 776 Factor 108*r**5 + 906*r**4 + 8299*r**3/3 + 7295*r**2/2 + 1900*r + 1000/3. (2*r + 5)**3*(9*r + 4)**2/6 What is r in -5*r**3 - 50*r**2 - 115*r - 70 = 0? -7, -2, -1 Find c, given that -c**3 - 12*c**2 + 315*c - 1274 = 0. -26, 7 Find l such that -170*l**5/9 - 356*l**4/3 - 2320*l**3/9 - 1888*l**2/9 - 32*l + 64/9 = 0. -2, -2/5, 2/17 Let -5*z**5/3 + 32*z**4/3 + 88*z**3/3 - 160*z**2/3 - 272*z/3 + 128/3 = 0. What is z? -2, 2/5, 2, 8 Let 8*c**3/3 + 536*c**2/3 + 3318*c + 10584 = 0. What is c? -63/2, -4 Solve -1922*m**2/7 + 496*m/7 - 32/7 = 0 for m. 4/31 Factor -m**3/2 + 25*m**2 + 157*m/2 + 53. -(m - 53)*(m + 1)*(m + 2)/2 Factor 2*z**3 + 320*z**2/3 + 418*z/3 + 104/3. 2*(z + 1)*(z + 52)*(3*z + 1)/3 Let -2*v**5/5 + 8*v**3/5 + 4*v**2/5 - 6*v/5 - 4/5 = 0. Calculate v. -1, 1, 2 Solve 2*f**4/13 - 252*f**3/13 + 1920*f**2/13 - 3776*f/13 = 0 for f. 0, 4, 118 Factor -35*d**2/2 - 3050*d - 870. -5*(d + 174)*(7*d + 2)/2 Determine r, given that -2*r**4 + 124*r**3 - 2040*r**2 + 3600*r = 0. 0, 2, 30 What is u in -1390*u**2/7 + 1394*u/7 - 4/7 = 0? 2/695, 1 Let 21*f**2 + 3068*f + 292 = 0. Calculate f. -146, -2/21 Factor 20*d**4 - 192*d**3 + 256*d**2. 4*d**2*(d - 8)*(5*d - 8) Factor 4*t**2 + 672*t. 4*t*(t + 168) Let -k**2/8 + 105*k/8 - 13 = 0. Calculate k. 1, 104 Factor -3*p**2 - 30*p - 48. -3*(p + 2)*(p + 8) Factor -39*m**2/7 + 3054*m/7 - 936/7. -3*(m - 78)*(13*m - 4)/7 Factor -4*z**3 - 220*z**2 - 4000*z - 24000. -4*(z + 15)*(z + 20)**2 Factor -9*n**3 - 330*n**2 - 2967*n + 1026. -3*(n + 18)*(n + 19)*(3*n - 1) Factor 2*a**5/5 - 34*a**4 + 738*a**3/5 + 245426*a**2/5 - 5237996*a/5. 2*a*(a - 41)**3*(a + 38)/5 Find o, given that -170*o**2 - 2*o = 0. -1/85, 0 Fi
{ "pile_set_name": "DM Mathematics" }
st common divisor of 3822 and 340954887? 1911 Calculate the greatest common factor of 9891767 and 30007. 811 Calculate the greatest common divisor of 34225575 and 3050. 1525 Calculate the greatest common divisor of 378788 and 561779. 337 What is the highest common divisor of 96480 and 2257020? 180 Calculate the highest common divisor of 9311507 and 661. 661 Calculate the greatest common factor of 6968 and 4843832. 536 What is the greatest common factor of 1392 and 2007090? 174 Calculate the greatest common divisor of 12 and 1904944416. 12 Calculate the highest common divisor of 1230823570 and 10. 10 What is the greatest common factor of 343895282 and 10034? 10034 What is the greatest common divisor of 5017846 and 248? 62 What is the highest common factor of 463 and 950901529? 463 What is the highest common factor of 13150 and 54? 2 Calculate the highest common factor of 2686963801 and 4201. 4201 Calculate the highest common divisor of 1516335 and 345. 15 What is the highest common divisor of 1982498 and 46487? 203 What is the highest common factor of 107 and 398034329? 107 What is the highest common divisor of 215940 and 2445? 15 What is the highest common divisor of 111437 and 8883? 47 What is the highest common factor of 5404 and 5813353? 1351 Calculate the greatest common factor of 64 and 33396416. 64 Calculate the greatest common divisor of 295263 and 122589. 477 Calculate the greatest common divisor of 231395564 and 4. 4 Calculate the greatest common factor of 165212 and 31621. 103 Calculate the greatest common factor of 780 and 25877670. 390 Calculate the greatest common divisor of 880859 and 265734. 4921 Calculate the greatest common factor of 1582095 and 174. 87 Calculate the highest common factor of 64 and 19426688. 64 Calculate the highest common divisor of 266076 and 98478. 18 Calculate the highest common factor of 54 and 150019290. 54 What is the greatest common divisor of 165300726 and 62958? 8994 What is the highest common divisor of 10601415 and 150282? 3267 Calculate the highest common divisor of 18116653 and 2. 1 What is the greatest common factor of 57 and 16592871? 57 What is the greatest common factor of 1909 and 666075? 83 What is the highest common divisor of 130 and 143610? 10 Calculate the highest common divisor of 1922528 and 39712. 2336 What is the highest common divisor of 4128 and 164448? 96 What is the highest common factor of 2884 and 155478603? 721 Calculate the highest common factor of 102200130 and 20. 10 Calculate the highest common factor of 16280 and 942040. 440 What is the greatest common factor of 1920 and 59064960? 1920 Calculate the greatest common divisor of 187502 and 14042. 826 What is the highest common factor of 3258 and 121934994? 1086 What is the greatest common divisor of 40655196 and 2864? 716 Calculate the greatest common factor of 99759944 and 680. 136 Calculate the highest common factor of 6304 and 1940647. 197 Calculate the greatest common divisor of 443 and 55473346. 443 Calculate the greatest common divisor of 2876 and 601144396. 2876 What is the highest common factor of 10854 and 542432? 134 What is the highest common divisor of 6962301 and 54? 27 Calculate the highest common divisor of 26 and 1208659322. 26 What is the highest common divisor of 9967064 and 124? 4 What is the greatest common factor of 121389 and 13217286? 2823 What is the greatest common factor of 64 and 179481056? 32 What is the highest common divisor of 443447 and 246053? 197 What is the highest common factor of 10185385 and 51450? 1715 Calculate the greatest common factor of 10839433 and 55. 11 Calculate the greatest common divisor of 3334 and 364729598. 3334 What is the greatest common divisor of 96368 and 111568? 304 What is the greatest common factor of 4 and 30858325? 1 Calculate the highest common factor of 6730465 and 19544. 2443 What is the greatest common factor of 11228633 and 231569? 4927 What is the greatest common factor of 2029655 and 154125? 685 What is the greatest common divisor of 1711598 and 258118? 2506 What is the highest common divisor of 2395152 and 192? 48 Calculate the highest common divisor of 2183 and 15377237. 37 Calculate the greatest common divisor of 55 and 6414518. 11 Calculate the greatest common divisor of 275334 and 186. 6 Calculate the highest common divisor of 140 and 99605835. 35 Calculate the highest common divisor of 360792 and 2088. 72 What is the greatest common factor of 27251 and 2258467? 17 What is the highest common divisor of 6230 and 56197715? 3115 Calculate the highest common factor of 18424071 and 216. 27 Calculate the greatest common divisor of 35490 and 1727355. 105 What is the greatest common factor of 4516183 and 235? 47 Calculate the highest common factor of 354 and 364332. 6 Calculate the highest common factor of 5968 and 33298829. 373 What is the highest common factor of 3991367 and 19449? 2161 Calculate the greatest common divisor of 18992 and 309807. 1187 Calculate the greatest common factor of 4251 and 465816. 39 Calculate the greatest common divisor of 90 and 11995326. 18 What is the greatest common divisor of 7602 and 515088714? 7602 Calculate the highest common factor of 179 and 1577348. 179 What is the greatest common divisor of 20 and 131606150? 10 Calculate the greatest common factor of 25440550 and 75. 25 What is the highest common factor of 28896668 and 547553? 17663 Calculate the greatest common divisor of 1469 and 11926133. 113 Calculate the greatest common factor of 224 and 5193496. 56 What is the highest common divisor of 275063 and 3622939? 589 Calculate the highest common factor of 1010369329 and 62. 31 Calculate the greatest common factor of 17459 and 5978167. 1027 Calculate the greatest common divisor of 4771216 and 1144. 8 What is the greatest common factor of 45 and 11205840? 15 What is the greatest common divisor of 2440 and 1827560? 2440 What is the greatest common factor of 15379 and 5383? 7 What is the greatest common factor of 4235903 and 61376? 959 Calculate the highest common factor of 511739 and 136. 1 What is the highest common factor of 20314515 and 390? 195 What is the highest common divisor of 35789 and 87581? 13 Calculate the greatest common divisor of 238 and 17312817. 17 What is the greatest common factor of 9776791 and 17790? 593 What is the highest common divisor of 237838390 and 11590? 11590 What is the greatest common divisor of 187486175 and 6625? 1325 Calculate the highest common factor of 9230101 and 274. 137 Calculate the greatest common factor of 8350285 and 30. 5 What is the highest common divisor of 1239212 and 364? 52 What is the greatest common divisor of 126 and 282359808? 18 What is the highest common divisor of 82949250 and 19000? 4750 What is the greatest common divisor of 19750 and 56248? 158 What is the greatest common divisor of 3231536 and 38786? 946 What is the greatest common divisor of 26040624 and 10509? 339 Calculate the highest common divisor of 162673801 and 7049. 1007 Calculate the highest common divisor of 105782419 and 164. 41 What is the highest common factor of 664495380 and 540? 540 Calculate the highest common factor of 498 and 8805198. 6 Calculate the highest common factor of 70407 and 248832. 9 What is the highest common factor of 13482 and 3632958? 126 Calculate the highest common factor of 261670 and 284960. 1370 What is the greatest common divisor of 70873 and 631312? 187 Calculate the highest common factor of 81 and 14548173. 3 What is the highest common factor of 89669477 and 2936? 367 What is the highest common divisor of 78968 and 43712? 8 Calculate the greatest common divisor of 109678 and 1426. 62 Calculate the highest common factor of 1146 and 49707750. 1146 What is the greatest common divisor of 76440 and 182180040? 5880 What is the greatest common factor of 1120 and 56283040? 160 What is the greatest common divisor of 410 and 46500? 10 Calculate the greatest common divisor of 38 and 25855371. 19 What is the greatest common factor of 1117034 and 19412? 422 What is the greatest common factor of 5344 and 73032440? 1336 What is the highest common factor of 104004 and 270282? 642 What is the highest common divisor of 1508192 and 21728? 224 Calculate the highest common divisor of 5
{ "pile_set_name": "DM Mathematics" }
- (700/16)/(-7). Solve -2*i = -a*k - i, 2*k + i = 0 for k. 0 Suppose -196*n = -113*n - 166. Solve -48*z + 45*z - 4 = -f, -5*z - 7 = -n*f for z. -1 Let i(l) = -144*l + 2026. Let j be i(14). Solve 14 - j = -a, -3*h - 5*a - 23 = 0 for h. -1 Let k be 0*((-31)/22)/31. Solve -3*o + 68*w - 67*w - 4 = 0, k = -3*o - 3*w + 24 for o. 1 Let q = 3690 + -3664. Solve v + 4*n = 3, 2*n = 4*v + q - 2 for v. -5 Suppose -5*b - 3*r = 3 - 25, -2*b - 2*r = -12. Suppose 2*s + 5*w = -b, 16 = -5*s + w - 16. Let n be s*-2*1/4. Solve -c = k - 1, n*k - 2*c - 8 = -6*c for k. -4 Let b be -10*18/(-12) + -10. Solve -b*w = 3*c - 27, 4*c + 4*w + 0*w - 28 = 0 for c. 4 Let n(u) = u**3 - 2*u**2 - 50*u - 10. Let t be 1 - 28/4 - 0/10. Let b be n(t). Solve -2*p - 3*i = -5*i + 12, -b*p + 23 = 5*i for p. -1 Suppose -4 = 2*f - 5*d, 2*f - 7*f + 23 = 4*d. Suppose -f*g = -2 - 10. Solve 4*j - 8 = -q + 5*q, -8 = -g*q for j. 4 Let w = 3213 + -3211. Solve -w*r - 50*d - 12 = -54*d, 0 = -r - 5*d + 8 for r. -2 Let k(j) be the first derivative of -5*j**4/4 + 124*j**3/3 + 13*j**2 - 9*j + 105. Let p be k(25). Let q = 0 + 0. Solve -v + 4*u = p - 4, -2*u + 4 = q for v. -4 Let f = 26507 + -26448. Solve 60*w - 5*x - 4 = f*w, -5*x - 8 = 3*w for w. -1 Suppose 49 = -o + 52. Solve -2*x - o*x = -5*t, 2*x = 5*t - 6 for x. 2 Suppose -5*o = -2*o - 3*k + 6, -2*k = -o - 5. Suppose -c + 65 = o. Suppose s = -64 + c. Solve -p = -h - s*p + 10, 0 = -3*h - 3*p for h. 5 Let n = 11879 - 11879. Solve 4*p + 2*u - 2 = n, -49*p + 50*p + 2*u - 5 = 0 for p. -1 Suppose 4*m = -5*x - 47, -5*m = -x - x + 100. Let a = 33 + m. Let l = 421 - 416. Solve -l*f + g + 12 = -5, -3*f + a = -3*g for f. 3 Suppose -5*m + 4*i = -588, -4*i + 327 + 13 = 3*m. Suppose 2*a = 126 - m. Solve 1 = -5*h + k, 0 = -a*h + k + 3*k + 11 for h. -1 Let d be (((-12)/(-8))/1)/(3/18). Let v(p) = p**3 - 8*p**2 - 6*p - 22. Let z be v(d). Solve -s + 8 = z*l - 7, -27 = -3*l + 3*s for l. 4 Let i be ((-76)/38)/(((-8)/(-16))/((-6)/4)). Solve -r + i*o = 2*o + 9, 9 = 3*o for r. 3 Suppose -150 = 136*y - 694. Solve -4*s - 51 = -5*d - 23, -4*s - y*d = -8 for s. -2 Let m be (-9)/12 - 1/(-8)*-2. Let n(u) = -2*u**3 + 8*u**2 + 5*u - 2. Let a be n(m). Solve a*q = 5*w - 31, -4*w - 1 = q - 19 for w. 5 Let w be -5 - (-1 + (-21)/3). Suppose 39 = 22*h - 9*h. Solve h*d = k - w + 22, -3*k - d - 7 = 0 for k. -4 Suppose 0 = -0*c + 2*c - 4. Suppose 86*w - 22 = 153 - 23 + 106. Solve -6*g - 14 = -g + c*n, -10 = w*g + 2*n for g. -2 Suppose 3*c - 4*y - 102 = 0, 4*y + 193 = 5*c + 5*y. Suppose 6 = -c*u + 41*u. Solve -n + 11 = -0*n - 4*w, u*n + 4*w = -14 for n. -1 Let l be (-52)/5*(7 + -1 + -1). Let z = l - -63. Let w = -23 - -30. Solve 3*t = -5*x - z, 0*x - 5*t = -3*x + w for x. -1 Suppose -3*t = -0*t - 33. Suppose -84 = -10*f - t*f. Solve -f = -k - 3*y, -y = 4*k - 3*k for k. -2 Let g(h) = 3*h - 77. Let l be g(23). Let t(m) = m**3 + 9*m**2 + 9*m + 12. Let n be t(l). Solve -u + n*v - 1 = -0*u, u - v = -1 for u. -1 Let z(t) = -t + 51 + 74 + 5*t. Let s be z(-30). Solve -m + s = 0, 2*l = 3*m - 12 - 1 for l. 1 Let s(k) = k**3 + 38*k**2 + 107*k + 70. Let t be s(-35). Suppose -4*p + 6 = 2*d - 4*d, 4*p - 5*d - 3 = t. Solve -v + 6 = -3*v, x + v = -p for x. 1 Let f be 0 - (-2 - 13)*1. Solve -5*u = -3*c - 40, 18*u = f*u - 4*c - 5 for u. 5 Suppose -3*t + 0*m = -4*m - 608, -t + 216 = 2*m. Let c = t + -186. Let g(w) = -w**2 - 5*w. Let y be g(-4). Solve 37 = 3*x - 5*a, y*x - 14 = 4*a + c for x. 4 Let c = 5084 + -5081. Solve 48*g - 44*g + 6 = -2*t, 3*t = -c for g. -1 Let g be -1 - 24/(-54)*9. Solve 3*s + 16 = 19*r - 15*r, -r - g*s = 11 for r. 1 Suppose 4*q - 22 = -4*a + 58, -4*q - 3*a = -76. Suppose 5*y + 3*y - q = 0. Solve -2*w - 11 = y*m - 3, -4*w + 8 = -2*m for w. 0 Suppose -6*q = 104*q + 7*q - 5382. Let t(n) = 12*n - 5. Let b be t(4). Let c = q - b. Solve -4 = y + u + c*u, 2*u = -y for y. 4 Suppose -4*h - 5 = h, 5*w = -4*h + 6. Let l be w/(-5)*(-1 - 4). Suppose -7*k + 70 = 49. Solve -s = -5*m + l*m - 3, 0 = -4*m - s + k for m. 0 Suppose -47 = -4*k + 5*d, -9 = -2*k - 2*d + 1. Suppose -k*g = -4*g - 140. Let b = -33 + g. Solve 2 + 3 = 5*m, b*n - m + 5 = 0 for n. -2 Suppose -3*j = -3*d, 3*d = 4*j - 2*d + 3. Suppose -6*u + 18 = -j*u. Let v be (0 + 2/4)/(6/48). Solve a - 2*g - 4 = -u*g, -2*g = a - v for a. 4 Let r(v) = -v**3 - 4*v**2 + 6*v + 4. Let m be r(-5). Let k be m*(-4 - (1 + 3) - 4). Solve -2*a = 2*p - 8, a - 4*a + k = 4*p for a. 4 Let k = -38 + 5. Let m = k - -29. Let d be -7 - m - (-1 + -7). Solve -5*p - d*b - 15 = -0*b, 2*p + 1 = -b for p. 2 Suppose 0 = 153*z - 156*z + 7*i + 100, -3*z + 5*i + 92 = 0. Solve 3*s + 18 = -z*w + 23*w, 4 = -2*w + 2*s for w. -6 Let l be (-12)/(-15)*15/2. Let f be 0 + 33/l + (-9)/18. Suppose 4*n + 5*j = 13, 2*j - 7 = -f*n + 5*j. Solve -4*o = -n*g + 2, -4*o - 9 - 14 = 5*g for g. -3 Suppose 16*u = -14 + 222. Solve u = -z + 4*t, t + 11 = 3*z + 6 for z. 3 Let t(l) = 6*l - 31. Let g be t(6). Let a(j) = 7*j + 38. Let w be a(-5). Solve 30 = 5*o + 4*b, -w*b + 6 - 1 = -g*o for o. 2 Let a be (-1)/(1113/(-106) - 1*-10). Let k be (2/3)/(21/315). Solve -a*o - 3*o + k = 0, -4*o + 4 = 4*g for g. -1 Let h = 32 + -22. Let n be (0/(-1) - (-4)/10)*-15. Let j(g) = -3*g - 11. Let m be j(n). Solve 3*w = 7*u - 3*u + h, 5*w + 3*u = m for w. 2 Suppose -109*t + 261 = -148 - 27. Solve 5*s = 4*b + 8 - 9, t*b = -3*s - 7 for s. -1 Let k = -11348 - -11353. Solve -2*v + k = 5*r + 4, -2 = v + 5*r for v. 3 Let p be (-2)/(-16) + (-119)/56. Let k be p - (-1 + 5 + -5 + -5). Solve k*j - w + 5 = 0, -4*w + 18 = -3*j - 2 for j. 0 Let f(p) = 2*p**2 + 28*p + 10. Let s be f(-14). Let d be s/(-5)*(-9)/2. Solve 0 = -2*x + 6, -3*b + 0*b = 4*x - d for b. -1 Let g(t) = -2*t**2 - 10*t - 6. Let d be g(-4). Let z be 0/((3 - d)/(1/4)). Solve z = 4*o + 4*n + 16, 4*n + 6 = -2*o + 3*o for o. -2 Suppose 10 = 3*k + 4. Let y(m) be the third derivative of m**4/24 - 5*m**3/6 + 22*m**2. Let h be y(8). Solve k*x - 4*z = 10 + 6, -5*x = -h*z - 12 for x. 0 Let t(u) = -u**3 - 32*u**2 - 30*u + 36. Let m be t(-30). Let h = -862 - m. Solve z + 4*d = 3*z - 10, 0 = -h*z - d for z. 1 Let b(s) = -5*s**3 + 324*s**2 + 65*s. Let x be b(65). Solve -5*q + 5*d - 6*d - 6 = x, d - 4 = 0 for q. -2 Suppose h = 3, c - 3*h + 8*h - 15 = 0. Let f be 56/6*699/3262. Solve 5*j = -f*x + 17, c = -0*j - j - x + 4 for j. 3 Let q(b) = -7*b**3 - 2*b**2. Let d be q(1). Let k be 2 + d + 7 - (0 - 11). Solve 0*h + m = 3*h + k, 4*h + 2*m = 2 for h. -2 Let j = 173 + -179. Let y = j - -8. Solve -4*i - 4 + 24 = -4*m, 2*i + m = -y for i. 1 Let m(x) = -x + 60. Let w be m(-7). Let a be w/11 - 1/11. Solve 0 = 5*j - 25, -24 = -4*i + a*i - 4*j for i. -2 Let b be (-11 - (2 - 3))/((-161)/322). Solve -2*c + 2 = -2*n, 2*n + 5*c + b = 39 for n. 2 Let l = -10777 + 10778. Solve -2*b - 16 = 4*i, 2*b + 3*i = 4*i - l for b. -2 Suppose -2*v = f - 15, 840*f - 841*f = -v + 6. Solve 3*s + 2*a - f = -0*a, 4*s = 5*a + 9 for s. 1 Let b(v) = -v**2 - 41*v + 184. Let x be b(-45). Solve 0 = -4*m + 4*u - x, -m - u - 17 = -6*u for m. 3 Let j be (-2)/4*-2*2. Let f be (0/2 + 3)/(6/8). Suppose -168 = f*y - 168. Solve 3*u + y*n = j*n + 5, n - 14 = -4*u for u. 3 Let j = -34 + 47. Suppose 3*r = 2*p - 3, r + r + j = 5*p. Suppose -p + 5 = h. Solve o = -5*z + 5, -h*o + 14 - 4 = -z for o. 5 Suppose 0 = -143*p + 96*p + 423. Let x be ((-3)/6)/(1/(-2)). Suppose 19 + x = 4*m. Solve 5*y = -5*g + m, g - p = 5*y - 2*y for g. 3 Suppose 7*r = -69 + 181. Solve 3*b + 5 = -5*x, -r = -3*x - 6*b + 8*b for x. 2 Let w(g) = -3*g**3 + 68*g**2 + 99*g - 67. Let d be w(24). Solve -d*l - m + 108 = 96, 5*m + 15 = 0 for l. 3 Let s be 3/((-174)/684 + (-5)/(-15)). Suppose -s*l + 52 = -24. Solve -4 = 3*p + i + l, 0 = -5*p + i - 10 for p. -2 Let r(z) = -z**3 - 3*z**2 + 3*z - 7. Let f be r(-4). Let v be ((-115)/(-69))/((-1)/f). Solve 5*g = -5*s + 3*g + 7, -2*g = 3*s - v for s. 1 Let i(j) = -j**3 - 7*j**2 + 6*j - 14. Let y be i(-8). Solve 0 = -y*o - 3*n + 10, -3*o + n + 0*n = 7 for o. -1 Suppose -915 - 93 = -112*d. Solve -2*l = z, z - l = -3*z + d for z. 2 Let d(o) = o**2 + o - 5. Let n be d(5). Let b be (-58)/(-116)*(-3042)/(-1). Let f = 1523 - b. Solve f*m - 2*q = 0, 2*q - n = -3*q for m. 5 Let y = -137 - 25. Let j = y - -164. Solve 0 = 4*u + j*d - 8, d = -4*u + 5 - 1 for u. 0 Suppose -9*o - 269 - 1252 = 0. Let n = o - -174. Solve 0 = n*j +
{ "pile_set_name": "DM Mathematics" }
form a + u*i**2 + z*i**3 + v*i and give v. -6 Rearrange 6459*j + 1 - 3234*j - 3429*j + 2*j**2 + 2*j**3 to the form p*j**3 + r + l*j**2 + a*j and give r. 1 Express 0*w**3 - 6*w**3 + 4*w**3 + 5*w**3 + 13*w**3 - 4*w**3 + (-4*w + 4 - 4)*(-2*w**2 - 2 + 2) in the form p*w + z*w**3 + m + h*w**2 and give z. 20 Express (0 - 1 + 2)*(-5*u - 13*u - 3*u)*(0*u + u - 4*u)*(2 + u - 2) in the form i*u**3 + g*u + j*u**2 + z and give i. 63 Rearrange 2*k**2 + k + 69*k**3 + k**4 - 2*k**2 - 2 - 41*k**3 to g*k + r + i*k**2 + w*k**4 + f*k**3 and give r. -2 Express ((10 + 0 - 21)*(-4 + 2 + 0) + 4 - 4 - 2)*(d - 3*d + 0*d) as y*d + j and give y. -40 Rearrange -1 + 6*h**4 - h - 10*h**4 + 3*h**4 + 35*h**3 to the form f*h**2 + i*h + v*h**4 + m + b*h**3 and give b. 35 Express -g - 56982*g**3 + 56940*g**3 + 3*g + 6*g**2 in the form i*g + t + p*g**3 + m*g**2 and give p. -42 Rearrange (306 - 20 - 111 + 238)*(-q**3 - 2*q**3 + q**3) to the form j + x*q**2 + u*q**3 + b*q and give u. -826 Express (33 + 234 - 40 + 22)*(19*n - 13*n - 16*n - 2) as c + r*n and give c. -498 Express -4*b**3 + 2*b**3 + 0*b**3 + (-146 - 162*b + 146)*(6*b**2 - 2*b**2 - 5*b**2) in the form s + p*b**3 + w*b + g*b**2 and give p. 160 Express 3*h**3 - 8*h + 10*h**2 - 4*h**3 + 20*h - 11*h as p*h + a*h**2 + o + y*h**3 and give p. 1 Rearrange 11 - 8*g**2 - g + 6*g**2 + 7*g**4 - 9 - 15*g**4 to z*g**2 + q + w*g**3 + b*g**4 + m*g and give w. 0 Express 11*n - 11*n + 10*n**3 + (-2 + 3*n + 2)*(-2*n**2 + 7*n**2 + 9*n**2) in the form x + l*n**3 + q*n**2 + u*n and give l. 52 Express ((-3 - 2 + 3)*(5 + 1 - 3) + (1 + 2 - 2)*(-1 + 3 + 0))*(-t - t + 0*t)*(66 - 1 + 5) as p + m*t and give m. 560 Express (348 + 2*l - 299 - 196 + l**2)*(3 + 2*l - 3) as u*l**3 + b + r*l**2 + a*l and give r. 4 Express 108 - 240 - 2*t + 105 in the form y + w*t and give w. -2 Express (-x - 3 + 3)*(-3*x - 5*x**2 + 3*x) + 3*x - 16*x - 6*x - 6*x**3 as v*x**3 + s + g*x + j*x**2 and give v. -1 Rearrange -33*g**3 + 19*g**3 + 1 + 17*g**3 - 4 + g to a + c*g**2 + m*g + w*g**3 and give w. 3 Rearrange -1 - 71*f**2 + 3*f**3 + 31*f**2 + 11*f**2 - 2*f**4 - 4*f**3 + 28*f**2 + 10*f to v*f**3 + m + z*f**2 + p*f**4 + q*f and give m. -1 Express (-34180 + 34180 - 314*w)*(-4*w**2 + 2*w**3 + 4*w**2) as r + q*w**4 + x*w**3 + n*w**2 + y*w and give q. -628 Express -1 - 151*k**4 - 151*k**4 + 3*k + 298*k**4 - 2*k + 2*k**3 in the form v*k**4 + p*k**3 + u*k + t + o*k**2 and give v. -4 Express (-5*g + 3*g + 3*g)*(-3*g**2 + 350*g - 351*g + 5*g**2 + 120) as y + a*g + i*g**3 + f*g**2 and give i. 2 Rearrange (61*m - m**2 + 69*m - 136*m)*(-2 - m + 2) to q*m**3 + u*m + x + f*m**2 and give q. 1 Rearrange -7*m**2 + 19*m**2 - 36*m**2 + 11*m - 54*m**2 - 15*m to the form u*m**2 + z*m + l and give u. -78 Express -1333*k**3 - 2 + 0 + 1312*k**3 + k**2 as z*k**3 + y*k + t + q*k**2 and give t. -2 Express -358*i - 180*i - 940*i in the form k + g*i and give g. -1478 Express (-8*c + 6*c + 16*c)*(-3 + 0 + 1)*(-2 + 6 + 0) in the form w*c + q and give w. -112 Express -14*c - 11 + c**3 + 0*c**2 + 2*c**2 + 11 in the form u*c + a*c**3 + h*c**2 + t and give u. -14 Express 106*s**2 + 1463 + 118*s**2 - 1461 - 65*s**2 in the form f*s + m + g*s**2 and give m. 2 Rearrange 2*q - 174 + 87 + 0*q**2 - 6*q**2 + 87 to f*q + s*q**2 + l and give l. 0 Express -19419 + 19419 - 214*a in the form c + i*a and give c. 0 Rearrange 552 - 5*l**2 + 4*l**2 - 3*l - 5*l**2 + 4*l**2 - 548 to a + x*l + j*l**2 and give x. -3 Rearrange 14*w**2 + 5*w + 33*w**2 - 1 + 4*w - 9*w to h + f*w + z*w**2 and give z. 47 Express (m - m + 4*m**2)*(11*m + 173 - 171 + 0*m) in the form q*m**3 + i*m**2 + y*m + f and give y. 0 Rearrange (0*y - 2*y + 0*y)*(35 - 176 - 52)*(3 - 2*y - 3) to b + d*y**2 + o*y and give d. -772 Rearrange 1146*m**2 + 16*m**3 - 568*m**2 - 578*m**2 - 1 - 17*m to the form h*m**2 + c*m**3 + k*m + f and give k. -17 Rearrange (y**3 + 2 - 2)*(-3*y + 5*y - y) - 22*y**4 + 7*y**4 - 9*y**4 to b*y + r*y**4 + q*y**2 + h*y**3 + a and give r. -23 Express 4*f**4 + 9*f**4 + 21*f**4 + (5*f - 3*f - 3*f)*(-f + f - f**3) - 246*f - 2*f**4 + 246*f in the form g*f**4 + o + h*f**2 + m*f**3 + z*f and give g. 33 Express -48 + 1058*k - 1118*k + 27 + 21 in the form z + h*k and give h. -60 Express (41 - 27 + 67)*(-3 - f + 3 + (-1 + 4 - 1)*(-2*f + 3*f - 2*f)) in the form z*f + n and give z. -243 Rearrange -257*b + 6 - 230*b - 273*b + 723*b to a*b + i and give i. 6 Express 2 - 3819*g**2 + 2*g**3 + 0*g**3 + 3817*g**2 in the form j*g**2 + m*g + k*g**3 + z and give m. 0 Express 3438*r - 1718*r + 12*r**2 + 48 - 1719*r in the form a*r + j*r**2 + d and give j. 12 Rearrange (-2*o**2 - 2 + 2)*(-3 + 3 + 2) - 3*o**2 - 22*o**2 - 2*o**2 to l + f*o**2 + w*o and give f. -31 Express 14 - 38 + 7 + 17 - 381*b as a + u*b and give u. -381 Express (2*y + 3 - 3)*(2354*y + 384 - 197 - 187) as k*y**2 + i*y + o and give i. 0 Rearrange 802*s + 963*s - 170*s + 513*s + 452*s to n + u*s and give u. 2560 Rearrange -30*p + 53*p**2 - 29*p**2 - 18*p**2 to the form l*p**2 + b + u*p and give u. -30 Express 2*b**2 + 2 - 2*b + 3*b**4 + 0*b**4 - b**4 - 6*b**3 - 9*b**3 in the form t*b**2 + i*b + a + m*b**4 + y*b**3 and give i. -2 Rearrange (-3 - 5 + 0)*(3*j**4 + 12*j**4 + 11*j**4) to the form v*j**4 + g*j**2 + q*j + w + t*j**3 and give v. -208 Express -3*w**2 - 17*w + 5 - 2*w - 9*w**4 + 2*w**3 - 2*w + 22*w in the form x*w**3 + m + g*w**4 + j*w**2 + o*w and give g. -9 Express 64*k + 7*k**2 - 2*k**3 + 3 - 61*k - 4*k**2 as l*k**3 + y*k**2 + s + x*k and give y. 3 Express 2 - 586*s - 8 + 6 + 2186*s as o*s + v and give o. 1600 Rearrange -543*n - n**4 - 8*n**2 + 544*n + 15*n**2 - n**3 to the form v*n**2 + s*n**3 + j*n**4 + a*n + z and give j. -1 Express (-7 + 8 + 6 + 0 - 1 + 2 + (1 + 3 - 2)*(-5 + 2 + 1))*(1 - 1 - 21*j - 11*j) in the form v*j + m and give v. -128 Express (333 - 50 + 361 - 269 + 470)*(4*r + 0*r - 3*r) in the form p + k*r and give k. 845 Express 298 - 150 - 147 + 35*h - 5*h in the form c + r*h and give r. 30 Express -24*z - 145*z - z**2 + 34*z in the form m + n*z + h*z**2 and give m. 0 Rearrange 7*s**2 + 33*s**2 + 7*s**2 - 27*s**2 - 5*s to the form m*s**2 + u*s + i and give m. 20 Express -16*r**4 + 109*r + 3 - 2*r**2 - 37*r - 34*r - 39*r as b*r**3 + y*r**4 + m*r + k + l*r**2 and give y. -16 Rearrange (449 - 32 - 826)*(-1 + 2 + 1)*(-3*w + 5*w - w) to the form s*w + n and give s. -818 Express -210*g + 384*g + 117*g - 3*g**2 in the form w*g**2 + d + v*g and give w. -3 Rearrange 2*z**2 - 95 + 187 - 92 - 550*z to y + r*z**2 + k*z and give k. -550 Express 4*q - 152*q**3 - 6*q - 478 + 476 in the form g*q + f + d*q**3 + s*q**2 and give f. -2 Express -d**2 + 157 - 63 + 238 as m*d**2 + p + s*d and give p. 332 Rearrange -673 - 28 - 343 - 319 - 1835*d**3 + 1833*d**3 to n*d + v*d**2 + w + i*d**3 and give i. -2 Rearrange -u**2 - 38 + 19 + 19*u**2 + 18 to the form x*u**2 + y + v*u and give y. -1 Express -47*z**2 + 49*z**2 - 73 + 2*z + 0*z in the form v*z**2 + f*z + m and give f. 2 Rearrange -3*u + 12*u + 3*u + 0*u - 3*u + 5*u + (0 + 0 - 1)*(-42 + 30*u + 42) - u - u + 0*u to the form k + y*u and give y. -18 Rearrange 1139*y**2 - y - 1138*y**2 + 2 + 0*y + 6*y to m*y + s*y**2 + g and give s. 1 Rearrange (-675 - 5*q + 675)*(-5*q**2 + 4*q**2 - q**2)*(5 - 2 + 0) to the form b*q + r*q**2 + w*q**3 + d and give w. 30 Rearrange 4 + 52*o - 4 + 898*o to the form b + j*o and give j. 950 Rearrange 154*r - 857*r - 59*r - 93*r to h + b*r and give b. -855 Rearrange 596*t**3 + 115*t - 3 - 600*t**3 - 115*t - 14*t**2 to the form s*t + z*t**2 + q*t**3 + o and give q. -4 Rearrange -2*g + 2625*g**3 + 0*g + 1 - 2629*g**3 + 3*g**2 + (g + 4*g - 3*g)*(3*g**2 - 7*g**2 + 0*g**2) to the form a + q*g**3 + z*g + l*g**2 and give l. 3 Express 265*t + 167*t - 151*t as k*t + a and give k. 281 Express ((-4 - d + 4)*(-5 + 5 + 1) + 12*d + 86*d - 16*d)*(5*d - 3*d - 3*d) in the form u*d**2 + r*d + g and give u. -81 Express 665809*p + 4*p**2 + 1 - 665809*p - p**3 - 15*p**4 in the form z*p + c*p**2 + w + j*p**4 + m*p**3 and give c. 4 Rearrange 6*i**2 + 4 + 2 + 11*i**3 + 2*i - i**2 - 5*i**2 to p*i**2 + n*i + d + s*i**3 and give s. 11 Express -1 - 6*k**2 - 16*k + 4*k**2 - k**2 + 0*k**2 in the form c*k + m*k**2 + b and give m. -3 Express -n**2 + 5*n + 0*n + 580*n**3 - 601*n**3 in the form g + m*n**3 + f*n**2 + o*n and give f. -1 Rearrange -976*i
{ "pile_set_name": "DM Mathematics" }
0) + (-9903)/(-5). What is b rounded to the nearest one thousand? 2000 Let d = 96.4 - 33.4. Let b = d + -62.999802. What is b rounded to 5 decimal places? 0.0002 Suppose 2*d + 3*d + 287 = -4*v, 0 = 3*d + 5*v + 167. Let z = -50 - d. Let r be -32*(-3)/z*28500/2. What is r rounded to the nearest 100000? 200000 Suppose -z - 5*c + 1261 = 0, -z - 2*c + 1498 = 252. Suppose 3*h = -j - 3*j + 1236, j = 3*h - z. What is h rounded to the nearest ten? 410 Let n = 70921 - 71080.908. Let y = n - -160. What is y rounded to two dps? 0.09 Let d = 1872 - 1872.00009469. Round d to five decimal places. -0.00009 Let o(s) = 1677*s**2 + 164*s - 376. Let x be o(22). Round x to the nearest 100000. 800000 Let n = -657 - -583.2. Let v = n - -60.2. Round v to 0 dps. -14 Let t = 831647273.45 + -831647317.250000087. Let k = t - -43.8. What is k rounded to six decimal places? 0 Suppose 356165 = 11*v - 647145. Let u = v - -54790. What is u rounded to the nearest 100000? 100000 Suppose 3*n - 194947 - 86840 = 0. Suppose -23*v + 18*v - 789145 = 0. Let b = n + v. What is b rounded to the nearest ten thousand? -60000 Let p = -0.116 + 0.052. Let n = p + 71.064. Let r = n - 71.039. Round r to two decimal places. -0.04 Let i = -115.418 - -109.1671. Round i to the nearest integer. -6 Let j(m) = -m**3 - m - 32. Let q be j(0). Let l be q/6*(-16 - 7109). What is l rounded to the nearest 100000? 0 Suppose 4*p = 4*m + 965482 + 93430, -6*p = m - 1588312. Round p to the nearest ten thousand. 260000 Suppose 12 - 57 = -5*n. Let i = 1510 + 3410. Suppose -5*v = -n*v + i. What is v rounded to the nearest 100? 1200 Let d = -48 - -46. Let v = d - -25. Let n = v - 23.000056. Round n to five decimal places. -0.00006 Suppose 0 = 13*j - 73*j - 1492842031 + 450582031. What is j rounded to the nearest 1000000? -17000000 Let z = 14.482 + -14.4. Let h = 7.822 - z. Round h to the nearest integer. 8 Let i = 4.82 - -3. Let y = -7.819166 + i. What is y rounded to 5 dps? 0.00083 Let h = -207 + 198. Let n = -37.08 - -46. Let p = n + h. Round p to one decimal place. -0.1 Let n = -19500733 + 951733. What is n rounded to the nearest 1000000? -19000000 Let h = -206885.0045 + 206734. Let i = h - -151. Round i to three dps. -0.005 Let l = 0.3717995715 - 0.3718. Round l to 7 dps. -0.0000004 Let u = 11646.9332 - 11651. What is u rounded to 1 decimal place? -4.1 Suppose 4*x + 104 - 32 = 2*o, 0 = 2*x + 3*o + 52. Let j be (11 - -377239)*x/(-15). What is j rounded to the nearest 1000000? 1000000 Let b be 0*((-3)/(-24) - (-5)/24). Suppose b = -2*x - 4 + 10. Let l be (108/x)/(1/(-9)). Round l to the nearest ten. -320 Let a(w) = -54563*w**2 + 83*w - 814. Let u be a(14). What is u rounded to the nearest one million? -11000000 Let z = -77 + -124. Let q = 200.999999625 + z. What is q rounded to seven decimal places? -0.0000004 Let v = -0.0499 - 89.3101. Round v to the nearest 10. -90 Let a be (8/(-9))/(30/(-135)). Suppose 51300 = 7*k - 2*k + 4*t, -3*k + 30780 = -a*t. Round k to the nearest 100. 10300 Let s = -18500 - -20008. Round s to the nearest 1000. 2000 Suppose -n + h - 13 = -126, h = -n + 109. Let c(o) = 4*o**2 - 13*o + 12. Let p be c(8). Suppose -p = 5*y + n. What is y rounded to the nearest ten? -60 Let v = 4719 + -4719.01147. Round v to 3 dps. -0.011 Let i = 24521995.71000636 - 24521997. Let b = i + 1.29. Round b to 6 decimal places. 0.000006 Suppose -2*u = b + 54 + 25, -4*b + 35 = -u. Let r = u - -39. What is r rounded to five decimal places? 0 Let w = 0.963471 + -0.8602. Round w to two dps. 0.1 Let b = 2.6 + -0.3. Let o = 27448.7049 - 27451. Let x = b + o. Round x to 3 decimal places. 0.005 Let r = -35.64 - -39. Let k = r - 3.3600215. Round k to 5 dps. -0.00002 Let d = -0.0155 + -0.3145. Let l = -71.3205501 - -71.65055. Let m = d + l. Round m to six dps. 0 Let j(u) = 63*u**2 - 4*u + 8. Let p be (-6)/15 - (-27)/5. Suppose 5*d + 28 = 2*r, -2*r + 3*d = -p*r. Let a be j(r). Round a to the nearest one hundred. 1000 Let j = -0.320138 + 0.318. Round j to 4 dps. -0.0021 Let i = 2692 + -2872.3. Let q = i - -164. Let v = 15.992 + q. Round v to 2 decimal places. -0.31 Let v(m) = m**3 + 7*m**2 + 1. Let y be v(-7). Let s(o) = -201*o**2 + 2*o - 3. Let w be s(y). Let d = 291 + w. Round d to the nearest 10. 90 Suppose 172*g - 10466495790 = -1266559790. What is g rounded to the nearest one hundred thousand? 53500000 Suppose -6*u + 4*p = -u - 15758528, -2*u = -2*p - 6303412. Suppose -71*x + u = -69*x. Let r = x - 2405852. Round r to the nearest 100000. -800000 Let j = 1103 + -1107.77. Let z = j - -4.7802. What is z rounded to two decimal places? 0.01 Suppose -4*c + 320594 - 60910 = 0. Let i(t) = 3*t + 18229 + c + 17456 - 10606. Let w be i(0). Round w to the nearest 100000. 100000 Let n be 124251/5 - (1/25)/((-138)/(-690)). What is n rounded to the nearest one thousand? 25000 Let f = -167.3 - -2469.3. Let q = 2301.99023 - f. Round q to four dps. -0.0098 Suppose 31 = 5*x + 3*q, 5*x + q - 3*q - 21 = 0. Suppose -5*g + 325000 = x*g. Round g to the nearest 1000. 33000 Let j = -462 + 478. Suppose -j*c + 31*c = 2869500. What is c rounded to the nearest 100000? 200000 Let f = -1.33 + 2.55. Let s = f + -1.506. What is s rounded to 2 decimal places? -0.29 Suppose 1397951 = 8*w - 629545. Let s = w + -154137. Round s to the nearest 10000. 100000 Let h = -34.95 + 36. Let n = 228 - 217.55. Let y = n - h. Round y to 0 dps. 9 Let h(z) = 2246*z - 7. Let i(r) = 4*r**3 + 53*r**2 + 13*r - 1. Let a be i(-13). Let l be h(a). What is l rounded to the nearest one hundred? -2300 Let k = 14202.234 - 14202. Round k to the nearest integer. 0 Let z = -96367 + 96366.35531. Round z to one decimal place. -0.6 Let k = -25218141994.00000319 + 25218141773. Let w = k + 221. What is w rounded to seven decimal places? -0.0000032 Let l = 36978.382 - 36936. Let u = -41.62922 + l. Let x = -0.75 + u. What is x rounded to 4 decimal places? 0.0028 Let i(u) = u + 8. Let o be i(-6). Suppose 2*c = w - 13, -11*w = -7*w + 2*c - 22. Suppose w*z - o*z = -3900000. What is z rounded to the nearest 100000? -800000 Let s(p) = -258419*p**2 + 183*p - 14. Let n be s(6). What is n rounded to the nearest 1000000? -9000000 Let d = -3.68 - -0.53. Let u = -59.1 + 59.35. Let o = d - u. Round o to zero decimal places. -3 Let r = -10073.0000018289 + 10073. Round r to 7 decimal places. -0.0000018 Suppose 3*w - 4*p = -3647408, -p = 5*w + 6724491 - 645493. What is w rounded to the nearest one hundred thousand? -1200000 Let b = 49 + -48. Let q(j) = j**2 - j - 1. Let p(l) = -281*l**2 - 5*l - 17. Let f(m) = b*p(m) - 3*q(m). Let v be f(-9). Round v to the nearest 10000. -20000 Let a = 1621 - 1621.00009822. What is a rounded to 5 decimal places? -0.0001 Let x = -38647644 - -25381744. What is x rounded to the nearest one million? -13000000 Let j = -0.083566 + -622.426434. Round j to the nearest 100. -600 Let l = -845 - -1311. Let h = l - 571.4. Let w = -105.400467 - h. What is w rounded to 5 decimal places? -0.00047 Let b = 11193 + -11192.72235. What is b rounded to 2 decimal places? 0.28 Let q = -2718.17 - -2724. Round q to 1 decimal place. 5.8 Let x = -39 - -38.62. Let w = 0.2796 - -0.0104. Let c = x + w. What is c rounded to two dps? -0.09 Let m = -525 - -527. Let l be ((17 - m)*-48)/((-5)/(-225000)). Round l to the nearest 1000000. -32000000 Let g = 0.05408 - 0.0540691962. Round g to seven dps. 0.0000108 Suppose 7*y - 29 = 3*y + 5*o, -2*y - 5*o + 7 = 0. Suppose 0 = 4*d + 5*r - 61999975, -2*r + 77500020 = 5*d - y*r. Round d to the nearest one million. 16000000 Let p(o) = -72*o - 25. Let d be p(5). Let z = d - -505. Round z to the nearest 100. 100 Suppose -325*d = -11772603 - 6959747. What is d rounded to the nearest one hundred? 57600 Let n = -443314 + 443313.9010005. Let f = 20.77 - 20.671. Let a = f + n. Round a to seven decimal places. 0.0000005 Let p = 4856 + -446. Let d = 4380.77 - p. What is d rounded to the nearest integer? -29 Suppose 43*g + 14*g + 6000186307 + 368423693 = 0. What is g rounded to the nearest one million? -112000000 Let d = -0.016719697 - -0.016696. Round d to 7 decimal places. -0.0000237 Let m = -8439 + 8442.589. What is m rounded to zero dps? 4 Let o = 138982.99875934 - 138983. Round o to five decimal places. -0.00124 Let b = 19593 - 19593.012359. Round b to 4 decimal places. -
{ "pile_set_name": "DM Mathematics" }
is positive. l**(-272/63) Simplify ((l**3/l)/l)**35*(l/(l**11*l))/(l**9/l) assuming l is positive. l**16 Simplify (v**10/(v**14/v*v))/((v/v**(-4/3))/v*v*v*v*v*v**(-3/4)*v) assuming v is positive. v**(-115/12) Simplify (o/((((o**(-4)*o)/o)/o)/o))**(-38)/(o*o**(1/15))**7 assuming o is positive. o**(-4102/15) Simplify (o**(-4/9)*o)**(-41)*o**(-22)*o*((o*o**(-2/11)*o*o*o)/o)/o assuming o is positive. o**(-4154/99) Simplify ((h/h**3)/h**1*h**(1/3)*h*h*h**3)**(3/11) assuming h is positive. h**(7/11) Simplify (((h/h**(1/6)*h)/h)/h)**(-26)*(h/h**4)**(4/7) assuming h is positive. h**(55/21) Simplify ((q/q**(-1/5)*q)**(3/2))**44 assuming q is positive. q**(726/5) Simplify (((j**2/j)/j)**24*j*j/j**6*j**(-9))**(-3/8) assuming j is positive. j**(39/8) Simplify ((v/v**4*v)/(v*v**7))/((v**9*v)/v*(v*v/(v**(-4/17)*v))/v) assuming v is positive. v**(-327/17) Simplify y**(-4/3)/y**(2/9)*y*y**(-1/9)*y/y**2 assuming y is positive. y**(-5/3) Simplify ((y/(y**1*y*y))**(-33)/((y**(-2/3)/y)/(y/y**(-2))))**(4/11) assuming y is positive. y**(848/33) Simplify (g**(17/4)/(g*g**(7/6)/g*g))/(g**(-22)*g**(-1/3)/g) assuming g is positive. g**(305/12) Simplify (v**0/v*v**(-1/11)*v*(v**(1/5))**26)**(-15/8) assuming v is positive. v**(-843/88) Simplify (g**(-12))**(23/4)/(g**(2/11)/g**(1/7)) assuming g is positive. g**(-5316/77) Simplify ((w/w**(-9/5)*w)/w*w**(5/4))/(w**23*w**(2/9)) assuming w is positive. w**(-3451/180) Simplify w**19/w**8*((((w/w**(-1/3))/w)/w)/w)/w*w**(-2/3) assuming w is positive. w**(23/3) Simplify (x*x**(-17)/x)**(-14)/((x/x**(-34))/(x/x**(-32))) assuming x is positive. x**236 Simplify (y/y**(8/3)*y**(-4/13))/(y**(-2))**(10/11) assuming y is positive. y**(-67/429) Simplify u**(-2/3)*u/u**(-2)*(u*u*u**(-3))**(-4/17) assuming u is positive. u**(131/51) Simplify ((m**1)**(3/2)/(m**(-4)*(m*(m**(2/9)*m)/m)/m*m*m))**(-32) assuming m is positive. m**(-944/9) Simplify (t**(2/15))**(1/39)/((t*t/t**(2/9))/(t*t**12)) assuming t is positive. t**(2189/195) Simplify ((z/(z**5*z))/z**1*(z*z**(-1/3))/z*z**(-1))**41 assuming z is positive. z**(-902/3) Simplify (((t/(t**0*t))/(t**(-2/11)/t))**8)**34 assuming t is positive. t**(3536/11) Simplify p**(1/30)/(p*p**(-11/6)/p)*((p/p**(-1/8))/p)**35 assuming p is positive. p**(749/120) Simplify ((u**26/u)/(u*u**(1/28)))/((u/u**(-2/33))/((u/(u/(u**(-1/2)/u)*u))/u*u)) assuming u is positive. u**(18853/924) Simplify ((y/(y/y**(-19/2)))/(y/y**(-17)))/(y**(-4/5)/y)**(23/3) assuming y is positive. y**(-137/10) Simplify (u*u**(2/19)*u*u/u**(-3/4)*u**(-1/8)/((u/(u*u**(-8)*u*u))/u))**13 assuming u is positive. u**(-2509/152) Simplify w**9*w*((w*w**(-11))/w)/w*(w*w**(-8))/w**(-1/4) assuming w is positive. w**(-35/4) Simplify ((f*((f/(f/(f*f/f**(-30)*f)))/f)/f)/f**(1/5))/(f**(12/5)/f*f*f*f/(f*f**21)*f) assuming f is positive. f**(242/5) Simplify ((k**37*k)**(-2))**(-31) assuming k is positive. k**2356 Simplify (v/(v/((v*v/(v*v**(-1)*v))/v)))**(-18/5)/((v/(v**(2/9)/v*v))/((v**8/v)/v*v)) assuming v is positive. v**(56/9) Simplify (((f*f/((f*f**(1/4)*f*f)/f))/f)**(-27)/(f**(-1/2))**(-12))**(-2/101) assuming f is positive. f**(-111/202) Simplify l**12*l*l*l**(4/9)*l**(-13)*l*l**(-12) assuming l is positive. l**(-86/9) Simplify (m/(m*m**1/m))**10/((m/(m*m**17)*m)/m*m*m**(-4/11)*m*m) assuming m is positive. m**(158/11) Simplify f**(-5)*f**(4/7)/f*(f**(-7))**(-2/39) assuming f is positive. f**(-1384/273) Simplify (f**(-7/2)*f*f*f**4/f*f)/(f**2*f)**(-42) assuming f is positive. f**(257/2) Simplify ((((i**(3/5)*i)/i)**(17/4))**(3/28))**(2/39) assuming i is positive. i**(51/3640) Simplify (a*a/((a/(a*(a*a**(-13))/a*a))/a*a)*a*(a**(-2/13)/a)/a)**(-2) assuming a is positive. a**(290/13) Simplify (f**(1/4)*f)**(11/6)/((f*f**0)/f*f**1) assuming f is positive. f**(31/24) Simplify (i**(-1)*i**(1/2)*i**(-2/11)*i**(-1/9)*i)**(1/7) assuming i is positive. i**(41/1386) Simplify ((z**(1/2)/z)/z)**28/(z*z*z**(-1)*z*z*z/(z*z**(3/4))) assuming z is positive. z**(-177/4) Simplify w**(-3/10)/(w/(w**(-5)*w)*w)*(w**8)**(7/4) assuming w is positive. w**(77/10) Simplify ((m**(5/3)/m**(3/5))**29)**(29/2) assuming m is positive. m**(6728/15) Simplify (x/(x/x**(-14)))/x**(5/8)*(x**(-5))**(1/24) assuming x is positive. x**(-89/6) Simplify ((i*(i**(1/2)/i)/i)**(3/14)*(i**(-1))**(1/9))**(-1/30) assuming i is positive. i**(11/1512) Simplify (d**(1/3)*d)/d*d*d/(d*d**(-7/3)*d)*d*d*d*(d**(-2))**(-38) assuming d is positive. d**(245/3) Simplify (l**(2/11)*l**(1/3)*(l**(-3/2))**(-2/15))**(-7/9) assuming l is positive. l**(-826/1485) Simplify (((u*u**(2/3)*u)/u)**(1/14)*u/u**(1/4)*u*u**5)**(1/37) assuming u is positive. u**(577/3108) Simplify (d/((d/(d*d**(-9)/d))/d))**(-2/29)*(d/(d**13*d))**30 assuming d is positive. d**(-11294/29) Simplify (k*k**1*k)**44/(k**(-4))**(5/6) assuming k is positive. k**(406/3) Simplify (j**(-14))**32*(j**(-9)*j)/j*j*(j/(j*j**23/j))/j assuming j is positive. j**(-479) Simplify (d*d*d/((d*d*d**(2/7))/d)*d*d**(11/5))/((d**(-1/17)/d*d)/d)**(-42) assuming d is positive. d**(-23536/595) Simplify (j**(-3/17)*j)/(j/j**9)*j*j**(-17)*j/((j/(j/(j/((j*(j/(j*j/(j**(1/25)*j)))/j)/j)*j*j)))/j) assuming j is positive. j**(-3883/425) Simplify u/((u*u*u**22)/u*u)*u**(3/2)*(u/u**(-7/4))**23 assuming u is positive. u**(167/4) Simplify o**(-3)/o**(2/27)*o/(o*o/(o/(o*o**15/o))*o)*o*o**(-20) assuming o is positive. o**(-1028/27) Simplify (f*(f**1/f)/f)**45*f/(f/(f*f/f**(2/41)))*f*f**(-2/7) assuming f is positive. f**(765/287) Simplify (c**(-2/11)/((c*c**(-3/5)/c)/c*c))/((c/(c/c**(-4)))/c)**(-1/29) assuming c is positive. c**(392/1595) Simplify ((((l*l/l**(-5/2))/l)**4)**(1/17))**(3/8) assuming l is positive. l**(21/68) Simplify ((q*q*q**0)**(29/5)*((q**(-3)/q)/q)/(q*q**(7/5)))**(10/7) assuming q is positive. q**6 Simplify (a*a**(-2))**(-4/39)/(a*a**(-1/2))**(-37) assuming a is positive. a**(1451/78) Simplify ((x**(1/12)*x)/x*x**(-10)/x)/(x**(-12)/(x**(-1/25)*x)) assuming x is positive. x**(613/300) Simplify t**(-1/2)*t**9*(t**9*t)/t**3 assuming t is positive. t**(31/2) Simplify (k*k**11)/k*k*k/(k/(k*((k/k**2)/k)/k*k))*k**3*k**(-3/8) assuming k is positive. k**(109/8) Simplify (d**(-1/11)/d**(-5))/((d**(-11)/d)/(d/(d/((d/(d*d/(d*d**(-5/4)/d)*d))/d)))) assuming d is positive. d**(557/44) Simplify ((c*c**(-1/13))/c**(-1/29))/((c**(-3/2)/c)/c)**38 assuming c is positive. c**(50502/377) Simplify (q*q**(-10/7))**(-43)*(q**(-19))**(10/3) assuming q is positive. q**(-943/21) Simplify ((s**(-1/2)*s**(-9))/(s**0)**(3/20))**15 assuming s is positive. s**(-285/2) Simplify ((j**(-8))**(1/30))**(-2/9) assuming j is positive. j**(8/135) Simplify (c*c*c/(c*c/(c/(c*c*(c*c/(c/c**(2/21)))/c*c))))**(-24)*(c*c**(-7)*c)**(-34) assuming c is positive. c**(1374/7) Simplify ((((n**(-18)/n)/n)/n)/n**(-2/9))/((n**(-10)/n)/(n*n**(-11/5))) assuming n is positive. n**(-494/45) Simplify (b**27/(b/(b/b**(-33)*b)))**(-15) assuming b is positive. b**(-915) Simplify ((z*z**(-3/8))/(z*((((z**5/z)/z*z)/z*z)/z*z)/z*z)*z*z/(z/(z*z**(-2)))*z**(3/2)/z)**(3/2) assuming z is positive. z**(-93/16) Simplify (((g*g/g**(-23)*g)/g)**(-2/87))**(4/5) assuming g is positive. g**(-40/87) Simplify z/(z/z**3)*z/(z/(((z*z**(1/2)/z)/z)/z*z))*(z*z**13*z)/z**(-2/5) assuming z is positive. z**(179/10) Simplify ((l**(5/4)*l/(l**(4/7)*l*l))/((l*l**(-1)/l)/l*l*l*(l/l**7)/l))**(-2/41) assuming l is positive. l**(-187/574) Simplify ((y**(-21)*y)**47)**(-36/11) assuming y is positive. y**(33840/11) Simplify (r/r**27)/(r*r/r**(-6/25))*r**(-8)*r/(r/(r/(r/r**(3/16)))) assuming r is positive. r**(-14421/400) Simplify (c**(-3/4)/c)**7*c/(c**(-1/19)*c*c)*c*(c/c**(6/17))/c*c assuming c is positive. c**(-14923/1292) Simplify ((d/(d**13/d))/d**(-24))**17 assuming d is positive. d**221 Simplify ((u**(7/5)/(u*u*u/(u/(u*u/(u*(u/u**(-2/7))/u)))*u))**(-2))**(-1/26) assuming u is positive. u**(-81/455) Simplify (v**(-1))**28*((v*v**(-15))/v)/(v/((v/((v**14/v*v)/v))/v)) assuming v is positive. v**(-57) Simplify (l**0)**(-19)*(l/l**(-2/27))/(l/l**(-2)) assuming l is positive. l**(-52/27) Simplify (((x**(-4/11)*x)/x)/x*x**11)/(x*x/((x*x*x**(12/7))/x)*x**12) assuming x is positive. x**(-127/77) Simplify (r**(-9)*r**(-4/11))/((r*r**(-10))/r**(-11/4)) assuming r is positive. r**(-137/44) Simplify ((((g/((g**(3/4)*g)/g*g))/g)**18)**15)**43 assuming g is p
{ "pile_set_name": "DM Mathematics" }