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culate the lowest common multiple of 4126386 and 330. 20631930 What is the smallest common multiple of 56940 and 146876? 28640820 Calculate the smallest common multiple of 12290980 and 23352862. 233528620 Calculate the lowest common multiple of 191376 and 8101584. 24304752 What is the lowest common multiple of 13095687 and 2829? 301200801 Calculate the common denominator of 62/14266149 and 7/52116. 2453777628 Calculate the lowest common multiple of 1140285 and 110. 25086270 What is the common denominator of 87/674168 and -97/13442? 8764184 What is the lowest common multiple of 1590670 and 18? 14316030 Calculate the smallest common multiple of 39515 and 158929330. 158929330 Find the common denominator of 33/1930964 and 107/1517186. 21240604 What is the common denominator of 1/87448 and -151/498? 21774552 What is the common denominator of -43/48444839 and 27/7? 339113873 Calculate the common denominator of -67/78 and -19/2046044. 6138132 Calculate the common denominator of 89/117900 and 97/130476. 9785700 What is the least common multiple of 236844 and 333336? 9000072 What is the common denominator of 7/44705274 and 43/134115822? 134115822 Find the common denominator of -13/50016 and 101/2592. 1350432 Find the common denominator of -157/28308 and -97/27994. 396227076 Find the common denominator of 19/125157064 and 79/31289266. 125157064 Find the common denominator of -15/26252164 and -49/6. 78756492 Find the common denominator of -19/5380806 and -31/2690403. 5380806 What is the lowest common multiple of 368430 and 4665? 114581730 Calculate the least common multiple of 62862312 and 12037464. 565760808 What is the common denominator of -31/154 and 16/2123023? 46706506 What is the common denominator of -56/4924935 and 95/1969974? 9849870 Calculate the common denominator of -14/87473 and 83/7198. 629630654 Find the common denominator of 45/5706268 and 39/40. 57062680 Calculate the common denominator of 109/1086 and 41/19908. 3603348 Find the common denominator of 41/936 and 36/98353. 92058408 What is the smallest common multiple of 15 and 22718249? 340773735 What is the least common multiple of 190428800 and 2856432? 571286400 Calculate the smallest common multiple of 62529 and 29838. 621913434 What is the common denominator of 113/60 and 131/26329110? 52658220 Find the common denominator of 73/690302 and -41/12040964. 951236156 What is the common denominator of 1/109200 and 85/16206? 294949200 What is the common denominator of -99/4 and -23/16796786? 33593572 What is the lowest common multiple of 980 and 65296? 2285360 Calculate the least common multiple of 1246608 and 1357575. 716799600 Calculate the lowest common multiple of 18654868 and 20. 93274340 Calculate the smallest common multiple of 346852 and 78830. 1734260 Calculate the lowest common multiple of 2799 and 2031. 1894923 What is the least common multiple of 8809218 and 9788020? 88092180 Find the common denominator of -91/464 and 87/726944. 21081376 Calculate the common denominator of 37/4147360 and 83/4562096. 45620960 Calculate the lowest common multiple of 27 and 1825614. 5476842 What is the lowest common multiple of 2141530 and 6424590? 6424590 What is the smallest common multiple of 88487514 and 176975028? 176975028 Calculate the smallest common multiple of 933155 and 53936359. 269681795 Calculate the smallest common multiple of 41234 and 23709550. 23709550 Find the common denominator of 21/5388364 and -57/26941820. 26941820 Calculate the least common multiple of 86973 and 78768. 4174704 What is the lowest common multiple of 27560694 and 27560694? 27560694 What is the common denominator of 103/222 and 125/238668? 8830716 Calculate the common denominator of -12/6061 and -17/1290157. 37414553 Calculate the common denominator of -143/126 and 83/444360. 1333080 What is the smallest common multiple of 7414 and 44726? 15072662 Calculate the common denominator of 143/33906 and -97/17122530. 17122530 What is the common denominator of -93/40868 and 61/78976? 806897792 What is the smallest common multiple of 20768795 and 5? 20768795 Calculate the common denominator of 64/363 and 56/180801. 21876921 What is the least common multiple of 2508477 and 27? 22576293 Calculate the lowest common multiple of 14048 and 14569. 204665312 Find the common denominator of 59/160354772 and -53/369. 1443192948 Calculate the smallest common multiple of 4472115 and 5205. 1551823905 What is the smallest common multiple of 223984 and 43424898? 347399184 Calculate the lowest common multiple of 173568 and 1704. 12323328 Calculate the lowest common multiple of 549072 and 2232. 549072 Calculate the smallest common multiple of 513360 and 152892. 70330320 What is the smallest common multiple of 40328442 and 253638? 40328442 Calculate the common denominator of -101/1023474 and 34/14840373. 29680746 Find the common denominator of 19/556992 and -47/556992. 556992 Calculate the common denominator of -1/12 and -37/254178040. 762534120 Find the common denominator of 43/497325 and -71/2586090. 12930450 Find the common denominator of -97/173512668 and -29/22. 1908639348 What is the common denominator of 77/34168448 and 55/654? 102505344 Find the common denominator of -39/15194968 and 8/17094339. 136754712 What is the smallest common multiple of 598 and 250514? 74903686 What is the common denominator of 3/1190764 and -13/84? 25006044 Calculate the smallest common multiple of 26785 and 1200. 6428400 Calculate the smallest common multiple of 71352 and 5934. 70567128 Find the common denominator of -73/14128533 and -55/11799. 324956259 Calculate the smallest common multiple of 20559616 and 203. 596228864 What is the lowest common multiple of 79212 and 5190272? 108995712 What is the lowest common multiple of 5560 and 8763116? 87631160 Find the common denominator of 51/28304 and 31/4872. 594384 Find the common denominator of 151/88068 and -8/6230811. 24923244 What is the smallest common multiple of 1489968 and 1296824? 70028496 Calculate the least common multiple of 10 and 852378382. 4261891910 Calculate the common denominator of -25/7813098 and 119/432. 62504784 Calculate the common denominator of -79/90814 and 41/16558. 44226418 Calculate the common denominator of -67/3989403 and 43/54. 23936418 Calculate the lowest common multiple of 1788 and 40230. 80460 Calculate the common denominator of -49/341734 and -37/862410. 456214890 What is the smallest common multiple of 4393532 and 1997060? 21967660 What is the common denominator of -67/10 and -57/464504846? 2322524230 What is the common denominator of 52/394713 and 137/30? 3947130 Find the common denominator of -53/4104 and -77/1397868. 25161624 What is the common denominator of 115/1482 and -89/1330914? 25287366 Calculate the common denominator of -61/207492615 and 91/1304985. 207492615 Calculate the common denominator of 123/45560 and 27/6230330. 24921320 Find the common denominator of 71/878 and -27/3592484. 1577100476 Calculate the common denominator of 13/20568190 and -19/3720. 246818280 Calculate the lowest common multiple of 335000 and 239860. 59965000 Calculate the smallest common multiple of 365783990 and 10. 365783990 What is the lowest common multiple of 15 and 73139160? 73139160 Find the common denominator of 43/844066 and -113/20. 8440660 Calculate the common denominator of 19/914855 and 103/20610. 16467390 Find the common denominator of 55/555927 and 19/7506. 1390929354 Calculate the smallest common multiple of 461580 and 10385550. 20771100 Calculate the lowest common multiple of 48 and 971236. 11654832 Calculate the common denominator of 61/630 and 53/6854085. 13708170 What is the smallest common multiple of 44535 and 3447009? 17235045 What is the common denominator of -5/2553817 and -59/74564? 10215268 What is the lowest common multiple of 36744 and 174? 1065576 What is the common denominator of -37/9126 and -71/48294? 24485058 Calculate the smallest common multiple of 138492 and 59936260. 539426340 What is the common denominator of 55/3370098 and 21/67963643? 407781858 Find the common denominator of 41/611675 and 83/56900. 2446700 What is the common denominator of 35/1216 and -67/458176? 8705344 Calculate the smallest common multiple of 91 and 7921420. 55449940 Find
{ "pile_set_name": "DM Mathematics" }
2 a and 1 z. 9/136 Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {r: 5, b: 11}. 11/24 Four letters picked without replacement from {o: 9, l: 2}. What is prob of picking 4 l? 0 Four letters picked without replacement from qnnqqgqnnznnnnqzznnn. Give prob of picking 1 g and 3 n. 11/323 Calculate prob of picking 1 y and 1 n when two letters picked without replacement from azynv. 1/10 Calculate prob of picking 3 i when three letters picked without replacement from rriicriiirirricirci. 28/323 Three letters picked without replacement from {z: 13, j: 5}. What is prob of picking 1 j and 2 z? 65/136 Calculate prob of picking 2 o when two letters picked without replacement from oeeooe. 1/5 What is prob of picking 2 y and 2 z when four letters picked without replacement from {z: 4, j: 4, y: 11}? 55/646 Four letters picked without replacement from {e: 7, c: 4, y: 2}. What is prob of picking 4 e? 7/143 Two letters picked without replacement from errvg. Give prob of picking 1 e and 1 g. 1/10 Two letters picked without replacement from {o: 4, a: 5, t: 1}. What is prob of picking 1 t and 1 a? 1/9 Two letters picked without replacement from {y: 4, r: 4, d: 9}. What is prob of picking 2 y? 3/68 What is prob of picking 1 x, 1 j, and 1 z when three letters picked without replacement from xcjrjkrzjjxkxrzz? 9/140 Three letters picked without replacement from btpsptsptwwt. What is prob of picking 1 w, 1 t, and 1 p? 6/55 What is prob of picking 1 j, 1 l, and 1 c when three letters picked without replacement from edlkkjcde? 1/84 What is prob of picking 3 q when three letters picked without replacement from {q: 2, f: 2}? 0 Calculate prob of picking 2 z and 1 h when three letters picked without replacement from zzzzzzzzzzzzh. 3/13 Two letters picked without replacement from {s: 1, l: 1, b: 2, z: 1, p: 1, h: 2}. What is prob of picking 1 l and 1 z? 1/28 Two letters picked without replacement from mrrrrrmmrrrmmrrr. Give prob of picking 2 r. 11/24 Calculate prob of picking 2 t and 1 k when three letters picked without replacement from tktt. 3/4 Two letters picked without replacement from eiivgiiiiviveegiv. What is prob of picking 1 g and 1 e? 3/68 Two letters picked without replacement from {a: 1, o: 1, v: 4, t: 2}. Give prob of picking 1 o and 1 t. 1/14 Calculate prob of picking 3 p and 1 w when four letters picked without replacement from nanpawwwappwpama. 4/455 What is prob of picking 4 n when four letters picked without replacement from vvvnnvvnnv? 1/210 What is prob of picking 3 a when three letters picked without replacement from xxaxxxxxaxxaxxxxxx? 1/816 Calculate prob of picking 2 t and 1 m when three letters picked without replacement from {t: 2, g: 3, m: 2, l: 6}. 1/143 Three letters picked without replacement from zbvv. What is prob of picking 2 v and 1 z? 1/4 Two letters picked without replacement from mmmmhhmmhm. Give prob of picking 1 h and 1 m. 7/15 Two letters picked without replacement from {g: 10, i: 2}. What is prob of picking 1 g and 1 i? 10/33 Two letters picked without replacement from cccfccccccfc. Give prob of picking 2 c. 15/22 What is prob of picking 1 d, 2 t, and 1 n when four letters picked without replacement from ddttdnnnnn? 1/14 Calculate prob of picking 2 m and 1 l when three letters picked without replacement from cmrmll. 1/10 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {s: 1, y: 2, z: 2, t: 1, w: 1, d: 2}. 1/18 Three letters picked without replacement from dpqscdn. Give prob of picking 1 n and 2 s. 0 Three letters picked without replacement from hkmhnnkm. What is prob of picking 1 n, 1 m, and 1 k? 1/7 Two letters picked without replacement from dddnndddddddddnd. Give prob of picking 1 n and 1 d. 13/40 Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, l: 9, k: 1}. 1/91 Two letters picked without replacement from {y: 5, h: 5, v: 2, j: 1, b: 2, c: 5}. What is prob of picking 1 j and 1 v? 1/95 Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {a: 1, n: 10, c: 8}. 8/171 Calculate prob of picking 3 b and 1 n when four letters picked without replacement from {c: 1, n: 1, b: 3}. 1/5 What is prob of picking 1 y and 3 r when four letters picked without replacement from rroyr? 1/5 Calculate prob of picking 2 f when two letters picked without replacement from {q: 5, r: 2, h: 4, f: 4}. 2/35 Three letters picked without replacement from gccgcggcgggccc. What is prob of picking 1 g and 2 c? 21/52 Three letters picked without replacement from llpttrt. Give prob of picking 2 l and 1 t. 3/35 What is prob of picking 1 r and 1 k when two letters picked without replacement from rkzzrzrzzrzzu? 2/39 Three letters picked without replacement from wtyyu. What is prob of picking 1 y, 1 w, and 1 u? 1/5 Calculate prob of picking 3 w and 1 r when four letters picked without replacement from {d: 6, o: 1, b: 4, r: 5, w: 4}. 4/969 Calculate prob of picking 1 f, 1 k, and 2 x when four letters picked without replacement from xfllxllxtkxfxxl. 2/91 Four letters picked without replacement from kkkgjgbgggggkbkg. What is prob of picking 1 g, 1 b, and 2 j? 0 Three letters picked without replacement from ouurruggurrguooo. What is prob of picking 2 r and 1 o? 3/70 What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 7, z: 1}? 1/4 Four letters picked without replacement from xyxttytyyytyxytyxttx. Give prob of picking 4 y. 14/969 What is prob of picking 2 m when two letters picked without replacement from mmmggmm? 10/21 Two letters picked without replacement from mmmmaxaxxmmxaxx. Give prob of picking 1 a and 1 m. 6/35 Three letters picked without replacement from wqwwvwzqxwgwwgvxwgwx. What is prob of picking 2 w and 1 v? 6/95 Calculate prob of picking 2 n and 2 v when four letters picked without replacement from nnnnnvvn. 3/14 What is prob of picking 1 f and 3 v when four letters picked without replacement from vvffvfvfvvvvvvvvvv? 364/765 What is prob of picking 1 d, 1 u, and 1 j when three letters picked without replacement from {q: 2, u: 11, j: 2, d: 5}? 11/114 Calculate prob of picking 1 d, 1 n, and 1 m when three letters picked without replacement from nhhhnnnnhnhmndihihhh. 7/1140 Two letters picked without replacement from aakakkkiak. What is prob of picking 2 a? 2/15 What is prob of picking 3 h and 1 q when four letters picked without replacement from eqqeuquueqqeeehe? 0 Four letters picked without replacement from qpqpqpppqqpqeqqpqpq. What is prob of picking 1 q and 3 p? 140/969 Calculate prob of picking 2 b when two letters picked without replacement from yybbyyyyyy. 1/45 Two letters picked without replacement from {y: 1, d: 3, p: 4, h: 4, w: 2}. What is prob of picking 1 p and 1 w? 8/91 Three letters picked without replacement from {o: 3, w: 9, j: 5, k: 2}. Give prob of picking 2 w and 1 k. 24/323 Two letters picked without replacement from {s: 10, t: 2, u: 2, n: 1, l: 1}. What is prob of picking 1 u and 1 n? 1/60 Calculate prob of picking 2 s and 1 f when three letters picked without replacement from ssff. 1/2 Calculate prob of picking 3 p when three letters picked without replacement from ptptptptpp. 1/6 Two letters picked without replacement from vvfvfv. What is prob of picking 1 f and 1 v? 8/15 Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {a: 1, y: 1, s: 2, g: 1}. 1/10 What is prob of picking 1 w and 1 q when two letters picked without replacement from {w: 1, x: 1, q: 1, l: 2}? 1/10 Three letters picked without replacement from {o: 4, m: 1, c: 1, j: 4}. What is prob of picking 3 o? 1/30 Two letters picked without replacement from inkcki. Give prob of picking 2 k. 1/15 What is prob of picking 1 j and 1 l when two letters picked without replacement from {n: 5, j: 1, f: 1, l: 1, m: 1}? 1/36 Three letters picked without replacement from hhhhhhhhh. What is prob of picking 3 h? 1 Three letters picked without replacement from hhmhhmb. What is prob of picking 3 h? 4/35 Three letters picked without replacement from tvttvvtvvtttt. What is prob of picking 3 t? 28/143 What is prob of picking 2 t and 1 k when three letters picked without replace
{ "pile_set_name": "DM Mathematics" }
Let o(m) = 2*m. Let v(z) be the third derivative of 0*z + 0*z**3 - 10*z**2 + 1/60*z**5 + 0*z**4 + 0. Calculate o(v(n)). 2*n**2 Let r(p) = -707*p + 1. Let c(a) = 1414*a - 2. Let h(f) = -4*c(f) - 9*r(f). Let z(s) = s**2. What is z(h(w))? 499849*w**2 - 1414*w + 1 Let b(d) be the third derivative of 5*d**5/12 - 179*d**2. Let r(u) = -2*u**2 + 20 - 20. Calculate b(r(j)). 100*j**4 Let f(x) = -66054*x**2. Let g(h) = -15*h**2. Calculate f(g(j)). -14862150*j**4 Let p(k) = -k. Let r(a) = -10*a**2 + 30*a - 4. Calculate r(p(w)). -10*w**2 - 30*w - 4 Let v(m) = 423*m. Let q(p) = -38*p**2. Determine v(q(x)). -16074*x**2 Let o(c) = -c**2. Let r(b) = 3*b**2 + 7*b. Let t(q) = -2*q**2 - 5*q. Suppose -g = -2*z - 13, z + 15 = -4*z. Let n(v) = g*t(v) + 5*r(v). Calculate o(n(p)). -p**4 Let f(p) = 15*p**2 + 18. Let i(s) = -7*s**2 - 8. Let v(t) = 4*f(t) + 9*i(t). Let n(r) = 2*r + 28. Determine n(v(h)). -6*h**2 + 28 Let q(o) = 24*o - 332. Let t be q(14). Let d(p) be the second derivative of -1/3*p**t + 0*p**3 - 4*p + 0*p**2 + 0. Let g(w) = -w. Give g(d(c)). 4*c**2 Let i(x) = -14*x + 8. Let w(u) = -2. Let z(s) = -i(s) - 4*w(s). Let f(k) = 8*k**2. Give z(f(j)). 112*j**2 Let d(m) be the second derivative of m**4/6 - 7*m + 96. Let q(x) be the second derivative of x**3 - x. What is d(q(v))? 72*v**2 Let z(n) = 2*n**2 + 318*n - 11. Let j(f) = 26*f. Determine z(j(m)). 1352*m**2 + 8268*m - 11 Let k(f) = 51*f**2 - 2*f. Let p(m) = -5*m + 1. Determine k(p(v)). 1275*v**2 - 500*v + 49 Let v(s) = -142*s. Let b(r) = 4*r - 11. Give b(v(t)). -568*t - 11 Let d(g) = -g. Let b(v) = 63*v - 305*v + 645*v + 1185*v. Calculate d(b(n)). -1588*n Suppose -6*q - 24 = -66. Let k(m) = -q*m + 2*m + 4*m. Let v(a) = -59*a**2. Give v(k(o)). -59*o**2 Let n be 3/2 + (-39)/26. Let u(g) = 6*g - 2*g - g + n*g. Let x(k) = -13*k. Determine x(u(w)). -39*w Let i(a) = -5 - 3*a + 5. Let p = -64 - -66. Let y(c) = -c**2 - 3*c**p - c**2 + 7*c**2. Calculate i(y(w)). -6*w**2 Let v(h) be the third derivative of -h**4/8 - h**2. Suppose 4*s - 5*f = 59, -3*s + 24 = -f + 4*f. Let c(o) = -8*o - s*o + 28*o. Determine v(c(g)). -27*g Let q(t) = -15*t - 8. Let r(a) = -74*a - 40. Let h(x) = 10*q(x) - 2*r(x). Let p(n) = 2*n - 3*n + 4 + 5. Give h(p(g)). 2*g - 18 Let u(d) = -12*d**2 + 7*d + 4. Let i(c) = 7*c. Determine u(i(n)). -588*n**2 + 49*n + 4 Let i(n) = -n**2. Let w(r) = -31*r**2 + 22*r. Let a(k) = -13*k**2 + 15*k - 13*k**2 + 4*k**2 + k**2. Let s(x) = -7*a(x) + 5*w(x). Calculate s(i(v)). -8*v**4 - 5*v**2 Let p(j) = -11*j - 2. Let f(m) = 96*m + 106*m - 196*m. What is p(f(n))? -66*n - 2 Let t(b) = -2*b. Let l(p) = -688141*p**2 - 2*p. Give t(l(n)). 1376282*n**2 + 4*n Let u(i) = 3*i + 5*i - 2*i. Let c(r) = -347*r + 168*r + 178*r. Give u(c(a)). -6*a Let i(o) = -17*o. Let b(n) = -86009*n**2 + 2*n. Calculate i(b(u)). 1462153*u**2 - 34*u Let t(o) = o. Let d(c) = 316*c + 399. What is d(t(p))? 316*p + 399 Let p(d) = 411*d. Let o(s) = -3*s. What is o(p(c))? -1233*c Let u(j) = -8*j. Let t(y) = -45271*y**2. What is t(u(m))? -2897344*m**2 Let z(n) = -284*n. Let c(x) = -x**2 + 10949*x. Determine z(c(l)). 284*l**2 - 3109516*l Let j(z) = -20*z**2 + 13*z - 13. Let g(d) = 3*d**2 - 2*d + 2. Let q(i) = -13*g(i) - 2*j(i). Let k(m) = -907*m. What is q(k(f))? 822649*f**2 Let n(c) = 3*c**2. Let j(t) be the first derivative of t**6/36 + 2*t**3/3 + 2. Let u(w) be the third derivative of j(w). Calculate u(n(p)). 90*p**4 Let j(y) = 6*y**2 - 11*y**2 + 6*y**2 - 9*y**2 + 7*y**2. Let v(r) be the second derivative of -10*r**4/3 - 5*r. What is v(j(k))? -40*k**4 Let l(s) = -2 + 644*s + 4 - 2 - 628*s. Let w(k) = 3*k**2. Give w(l(g)). 768*g**2 Suppose z - 4*q = 5*z + 4, 2*z - 33 = 5*q. Let n(d) = -36*d + 12*d + 10*d - z*d. Let s(r) = -2*r**2. Give s(n(u)). -648*u**2 Let y(g) be the second derivative of -5*g**4/12 - 409*g. Let l(p) be the second derivative of 5*p**4/6 - 3*p. What is y(l(r))? -500*r**4 Let n(a) be the second derivative of -a**3/6 + 2*a - 120. Let d(y) = -2*y + 41. Calculate n(d(x)). 2*x - 41 Let q(l) = -4*l**2. Let o(g) = 71*g - 198*g + 116*g - 8*g**2. Calculate o(q(v)). -128*v**4 + 44*v**2 Let a(h) = -3*h**2. Let d(b) be the first derivative of 25*b**2 - 215. Calculate d(a(g)). -150*g**2 Let w(h) = -h**2. Suppose c = -5*l + 518, -2*c + 4*l + 522 = -444. Let t(j) = -c + 493 + 13*j**2. Give w(t(s)). -169*s**4 Let x(f) = 9774*f**2. Let j(n) = -13*n - 3. Give j(x(k)). -127062*k**2 - 3 Let c(g) = -9*g**2. Let b(i) be the first derivative of i**5/60 + 13*i**2/2 + 7. Let r(m) be the second derivative of b(m). Determine c(r(y)). -9*y**4 Let c(m) be the third derivative of 0*m + 4*m**2 + 0 + 1/24*m**4 + 0*m**3. Let a(s) be the second derivative of -s**4/12 - s. Calculate c(a(l)). -l**2 Let b(c) = 7*c**2. Let j(o) = -34*o. Give j(b(y)). -238*y**2 Let i(a) = -169*a. Let f(x) = -17*x**2 - 5. Let u(v) = 14*v**2 + 4. Let d(g) = -4*f(g) - 5*u(g). Give d(i(t)). -57122*t**2 Let m(o) = -18*o. Suppose 64*t + 22 = 150. Let k(a) be the third derivative of 0*a**3 + 0*a - 2*a**t + 1/12*a**4 + 0. Determine m(k(v)). -36*v Let g(n) = n**2. Let r(v) = -v - 18. Let l be r(-20). Let w(i) = -4*i - l*i**2 + 4*i + i. Calculate w(g(c)). -2*c**4 + c**2 Let v(h) = -19*h + 5. Suppose 0*z + 9*z + 63 = 0. Let k(a) = -28*a + 7. Let b(d) = z*v(d) + 5*k(d). Let l(u) = u**2 - 2*u + 2*u. What is b(l(c))? -7*c**2 Let r(t) = -2*t**2. Let b(c) be the third derivative of c**7/630 + 8*c**5/15 - 36*c**2. Let y(u) be the third derivative of b(u). Determine r(y(o)). -128*o**2 Let s(t) = -3*t**2 - 2. Let z(c) = -4*c**2 - 3. Let p(f) = -3*s(f) + 2*z(f). Suppose -17*m + 18*m - 7 = 0. Let l(k) = -3*k - 5*k + m*k. Determine p(l(y)). y**2 Let q(g) = -g**2 + 11*g + 1. Let z be q(7). Let x(h) = -1531 + 1531 - z*h**2. Let u(y) = -2*y. Determine x(u(o)). -116*o**2 Let y(v) = -56*v**2 + 34*v + 17. Let q(h) = -7*h**2 + 4*h + 2. Let i(u) = -51*q(u) + 6*y(u). Let k(d) = 3*d. Calculate k(i(p)). 63*p**2 Let q(k) be the third derivative of 3*k**4/8 + k**2 - 75*k. Let t(r) = -90*r**2. Determine q(t(b)). -810*b**2 Let l(z) = 2*z**2. Let p(k) = -738980*k. What is p(l(s))? -1477960*s**2 Let c(r) = -5244*r - 115. Let k(n) = -92*n - 2. Let t(v) = -2*c(v) + 115*k(v). Let j(s) = -s**2. Determine t(j(o)). 92*o**2 Suppose 7*f - 718 - 1585 = 0. Let u(p) = f - 12*p - 329. Let t(j) = j**2. What is t(u(d))? 144*d**2 Let l be (-4)/(-6)*45/10. Let x be -1 + 0 - -1*1. Let a(v) = 2*v + x*v - l*v + 0*v. Let d(j) = 3*j. What is a(d(c))? -3*c Let g(f) = 132*f**2 - 63*f + 3. Let l(v) = 7*v. Let t(w) = -g(w) - 9*l(w). Let c(x) = -x. Determine c(t(i)). 132*i**2 + 3 Let f(i) = -12*i**2 + 652*i + 1. Let u(j) = 4*j. Give f(u(y)). -192*y**2 + 2608*y + 1 Let k(x) = -5*x**2. Let r(f) be the first derivative of f**2/2 + 69. What is k(r(u))? -5*u**2 Let s(z) = -10*z. Let y(j) = -2*j**2 - 3. Suppose -27*w + 23*w = 40. Let o(k) = -6*k**2 - 10. Let q(t) = w*y(t) + 3*o(t). What is s(q(b))? -20*b**2 Let c(a) = -16 - 28*a**2 + 28 + 25*a**2 - 12. Let l(p) = 5*p. Let q(s) = 51*s. Let m(h) = -21*l(h) + 2*q(h). Calculate m(c(b)). 9*b**2 Let p(n) = 120*n + 122*n - 246*n. Let w = 6 + -4. Let r(t) = -t - w + 2. What is p(r(f))? 4*f Suppose 4*z - 30 = -z. Suppose 2*q + 2 = z. Let i(p) = 1 + 10*p**q - 1 - 8*p**2. Let x(b) = -3*b. Determine x(i(v)). -6*v**2 Let g(u) = -17*u. Let q(d) = -34*d**2 + 9*d - 21. Calculate q(g(o)). -9826*o**2 - 153*o - 21 Let u(a) = -4*a. Let c(k) be the second derivative of 7*k**4/2 - 143*k. Give c(u(n)). 672*n**2 Let n(i) = -30000*i. Let k(b) = -5*b**2. Give k(n(f)). -4500000000*f**2 Suppose -3*x = -11 + 2, 3*x + 6 = 3*i. Let j(k) = k - k + i*k - 7*k. Let f(d) be the third derivative of -d**5/30 + d**2. Give f(j(n)). -8*n**2 Let s(o) = -435*o + 99*o - 456*o - 2 + 27*o + 47*o. Let d(m) = -m. Give d(s(k)). 718*k + 2 Let b(z) = -5*z + 6*z - 10*z + 0*z. Let h(p) be the second derivative of p**6/720 + p**4/2 - 4*p. Let i(r) be the third derivative of h(r). Calculate i(b(j)). -9*j Let s(m) be the first derivative of 4*m**3/3 + 11*m + 2. Let i(z) be the first derivative of s(z). Let u(r) = r**2. Give i(u(y)). 8*y**2 Let d(p) = 2325614*p. Let l(v) = 2*v. Give d(l(g)). 4651228*g Let t(i) = -25*i + 9. Let c(y) = -6*y + 2. Let w(d) = 9*c(d) - 2*t(d). Let k(p) be the third derivative of -p**4/6 + 4*p**2. Give w(k(r)). 16*r Let d(u) = -25*u +
{ "pile_set_name": "DM Mathematics" }
49/37) Simplify (i**5)**(-41)*i**(1/14)*i**(-3) assuming i is positive. i**(-2911/14) Simplify (p**7/(p/((p**(1/10)*p)/p)))/(p/p**(-17)*p*p/(p*p**12/p)) assuming p is positive. p**(-19/10) Simplify (((c**0/c)/c)**(-39))**(-2/11) assuming c is positive. c**(-156/11) Simplify ((w**(2/7)*w)/w)**40/(w**(-1/3)*w**18) assuming w is positive. w**(-131/21) Simplify ((t/(t**(-3/8)/t))/t**(-2/3))/(t*t**(-1/2)/t)**(-1/7) assuming t is positive. t**(499/168) Simplify (w**(-8)/w)**(2/113)/(w/(w*w/w**3*w)*w*w**17) assuming w is positive. w**(-2165/113) Simplify (((v**(1/18)/v)/(v*v**(1/8)))**(-10))**47 assuming v is positive. v**(35015/36) Simplify q**(-1)*q/q**4*(q/(q/(q**(-1)*q*q*q*q)))**(-44) assuming q is positive. q**(-136) Simplify (x**(-3))**(3/2)*(x**1/x)**(-1/30) assuming x is positive. x**(-9/2) Simplify (m*m**(1/9)*m)**(-23)/(((m**(8/3)/m)/m)/m*m**(-10)*m) assuming m is positive. m**(-353/9) Simplify ((j*j/(j/(j*j*j**(2/9)*j*j)*j)*j)**(-24/7)*(j*j/(((j*j**(-9)/j)/j*j*j)/j)*j)/(j/j**(-5/6)))**(3/16) assuming j is positive. j**(-325/224) Simplify (((c/(c**(2/17)*c))/c**(1/2))/((c/(c/c**(-2/3)))/c**(-2/7)))**5 assuming c is positive. c**(-845/714) Simplify l**(-18/11)*l**25*(l**3)**(3/22) assuming l is positive. l**(523/22) Simplify w**(3/2)*w/(w*w/(w*w**(1/6)*w))*w*w/((w/(w**(-2/57)*w))/w*w)*w**17 assuming w is positive. w**(411/19) Simplify ((y**(1/28)/y**1)**(-50))**36 assuming y is positive. y**(12150/7) Simplify i**(1/33)*i*i*i*i/i**11*i**10/(i*i**(1/7)) assuming i is positive. i**(436/231) Simplify ((((v**2/v)/v*v)**(31/5))**(4/5))**(4/7) assuming v is positive. v**(496/175) Simplify m/m**16*m**9*m*(m*m**(-2/7)/m)/m**(5/2) assuming m is positive. m**(-109/14) Simplify ((o**(1/8)/(o*o*o*o**(1/4)*o))/(o**2/o)**(-12))**(-4) assuming o is positive. o**(-63/2) Simplify (f**21/(f/(f/((f/((f*f/(f**18/f)*f)/f))/f))))/(f**(-7)*f)**(-1/8) assuming f is positive. f**(21/4) Simplify m**(-1/8)*m**(-16)*((m*m/m**3)/m*m)/(m*m**(7/8)) assuming m is positive. m**(-19) Simplify l/(l*l**(1/5))*l/((l**(-2/23)*l)/l)*(l**(-9)/l)**(-38) assuming l is positive. l**(43802/115) Simplify (g/g**(2/5)*g)**35/(g/(g/(g*g**(2/17)*g))*g**(-9)) assuming g is positive. g**(1069/17) Simplify ((o**13/o)/(o/(o*o**(-1/41))))**(1/14) assuming o is positive. o**(491/574) Simplify ((f*f**(-20))/f*(f*f*f**(-2/41)*f*f)/f)/((((f/(f/((f*f**23)/f*f)))/f)/f)/(f**(-7/8)/f)) assuming f is positive. f**(-13423/328) Simplify ((j/j**(-4)*j*j**(3/5))**15)**(-1/13) assuming j is positive. j**(-99/13) Simplify (((i**(-6/5))**(-45))**(3/25))**(15/11) assuming i is positive. i**(486/55) Simplify ((r/r**2)**(-4/7)/(r**(1/5)*r**1))**(-39/5) assuming r is positive. r**(858/175) Simplify (r*r*r/((((r*(r*(r**7/r)/r)/r)/r)/r)/r)*r)**(5/9)/(r/(r/((r/r**(-4)*r)/r)*r))**(-3/5) assuming r is positive. r**(133/45) Simplify (j*j/(j/j**14))/(j*j/(j*j*j/j**9)*j*j)*j**(-12)*j*j**(1/3) assuming j is positive. j**(-17/3) Simplify (((((z*(z*(z*z/z**(-3/10)*z*z)/z)/z*z*z)/z)/z)/z)**(-33/5))**37 assuming z is positive. z**(-40293/50) Simplify (j**(2/29)*j)/(j**(2/11)*j*j)*(j**3/j*j)**24 assuming j is positive. j**(22613/319) Simplify (i**(-1))**(-7)/(i/(i/(i*i**(4/9)*i))*i/i**(-2/25)) assuming i is positive. i**(782/225) Simplify (x/(x*x*(x*((x*x**(-2/5)*x*x)/x)/x)/x))/((x/x**(-12/11))/x*x)*((x**(1/3)*x)/x)**32 assuming x is positive. x**(1151/165) Simplify t/(t**(1/3)/t)*t*t*t**2*t*(t*t**(-2/7))**29 assuming t is positive. t**(575/21) Simplify (h**7*h)**(-2/13)/(h**(-1/7))**(12/7) assuming h is positive. h**(-628/637) Simplify ((z*((z/(z**(-1)/z))/z)/z)/z)**38/(z**(-1/8)*z*z**(-8)) assuming z is positive. z**(361/8) Simplify (d*d**(2/7))**(3/2)/(d/(d**10*d*d)*d/d**(-1/4)) assuming d is positive. d**(327/28) Simplify ((f*f**(-11)/f*f**(1/5))**(-4/9))**(5/2) assuming f is positive. f**12 Simplify t/(t/t**(4/3))*t*t*t*t**(5/9)*((t/t**(-2/17))/t)**(-1/3) assuming t is positive. t**(742/153) Simplify (n**(2/11)*n*n*n)**(10/13)*n**21/n*n/n**6 assuming n is positive. n**(2495/143) Simplify ((((w**(2/7)*w)/w)/w**(2/3))/((w*w**8)/(w/w**9*w*w)))**38 assuming w is positive. w**(-12274/21) Simplify (s/((s**(-2/3)/s)/s))/s*s/(s**(-2/13)*s)*s**10/(s/(s/(s*s**14))*s) assuming s is positive. s**(-124/39) Simplify ((y/(y/(y*y**25)))/(y*y*y*(y/((y/((y*y*y/y**24)/y)*y)/y)*y)/y*y*y))/(y**(9/2)*y**(-8/13)) assuming y is positive. y**(1017/26) Simplify (((t/((t*t**(8/7))/t))/(t*t**(6/5)*t))/(t**(-11)/t**(-1/17)))**(-36) assuming t is positive. t**(-162756/595) Simplify (((g**(1/7)*g)/g)/g*g/(g/g**(-1/3))*(g**(-2))**(1/10))**24 assuming g is positive. g**(-1168/35) Simplify (q**5)**(17/5)*q**(1/13)/(q*(q/(q/(q*q**12/q)*q))/q) assuming q is positive. q**(79/13) Simplify ((c**(2/27)*c)/(c/(c*c**(-6))))/(c**(-2/15)*c)**25 assuming c is positive. c**(-718/27) Simplify (l/(l**3*l)*l/l**12)/((l**(8/3)/l*l)/l*l*l)**(-41) assuming l is positive. l**(409/3) Simplify (w*w**(-5/12)*w)/w*w/((w/(w*w**(-31))*w)/w)*w*w**(3/8)*w*(w/((w**(-4/17)/w)/w))/w*w assuming w is positive. w**(-9713/408) Simplify (c**12/c**39)/(c/(c/(((c*c/(c/c**19)*c)/c)/c))*(c/(c**(2/59)*c))/c) assuming c is positive. c**(-2653/59) Simplify (i*i**(-1/9))/(i*i*i**(3/7))*i**(1/16)*i*i**5/i*i*i assuming i is positive. i**(5567/1008) Simplify (u/(u*u*u**(6/5)))**(-2/19)*(u/(u**12/u))**(-32/5) assuming u is positive. u**(6102/95) Simplify (p**(-2/17)/p)/(p/(p/(p*p**(2/11))))*p**(-17)/(p/(p**(-4)*p)) assuming p is positive. p**(-4357/187) Simplify ((n/(n/n**(10/3)))/n**(-19))/(n**(13/2)*n**(3/4)) assuming n is positive. n**(181/12) Simplify ((b*b**(-19))/b)/(b*b/((b**(3/4)*b)/b*b)*b)*b**19*b*b/b**1*b assuming b is positive. b**(3/4) Simplify (g**(-3/4)/(g/(g/(g/g**(10/7)))))/((g/(g/g**(-11)))/g**(-26)) assuming g is positive. g**(-429/28) Simplify ((o**(2/25))**(-4/9))**(-1/15) assuming o is positive. o**(8/3375) Simplify (j**(-25/2)/j)/j**19*((j/(j*j**25))/j)/(j/(j/j**(-2/13))) assuming j is positive. j**(-1517/26) Simplify (a*a**6*a)**(-32)/(a/(a/a**10)*a**(-2/59)/a) assuming a is positive. a**(-15633/59) Simplify (d**21*d**(-1/3)*d)/(d**(3/8)/d**(-22)) assuming d is positive. d**(-17/24) Simplify ((w/((w/(w/w**1))/w)*w)/w)**(-14/9)*w/w**(-5/4)*w*w/(w**14*w) assuming w is positive. w**(-443/36) Simplify ((y**(13/5)*y)/y**(2/11))/(y**6*y)**(-1/54) assuming y is positive. y**(10537/2970) Simplify (y*y**0)**47/((((y*y/y**(2/13))/y)/y*y)/(y*y*y**(-2/7)*y*y)) assuming y is positive. y**(4538/91) Simplify ((((c*c**14)/c)/c)/c**(-5/14))**(-11/3) assuming c is positive. c**(-2057/42) Simplify (c*c**(-1/20))/c*c**(-18)*c/(c*c**(-5/7))*(c/((c*c**(-6))/c))/c assuming c is positive. c**(-1587/140) Simplify ((x**(-3/4)/(x/((x/(x**(1/4)*x*x))/x)))**(-3/14))**(-41) assuming x is positive. x**(-246/7) Simplify ((i**(4/11)/i)/(i*i**(1/5)*i))/((i*i/((i/i**(7/4))/i))/(i/((i*i*i**(-8/3)/i)/i))) assuming i is positive. i**(-1927/660) Simplify b**10*b**(-22)*(b/(b**(2/21)/b))**(1/72) assuming b is positive. b**(-2263/189) Simplify (h**(7/8))**(2/39)*h*h**36*h**(-32) assuming h is positive. h**(787/156) Simplify ((y**(-4/5)/y)/(y**10*y))/(y**(-2/3)/y**14) assuming y is positive. y**(28/15) Simplify (o*o**(-4))**27/((o*(o**(-4)*o*o)/o)/(((o/o**(-17))/o)/o)) assuming o is positive. o**(-63) Simplify (q/(q*q**(-4)))**(-2/137)/(q**(-11)*(q/(q*q**(5/9)/q))/q) assuming q is positive. q**(14176/1233) Simplify y**(-5)*y**11*((y**(-5)*y)/y)/y*y/(y**5/y) assuming y is positive. y**(-3) Simplify ((u**(-6)/(u/u**0))/(u**6/(u*u/u**(-1/2)*u)))**(-9) assuming u is positive. u**(171/2) Simplify ((s/((s**(-10)/s*s)/s))/s*s)/s**22*s**(3/13)*s*s*(s/(s**(4/9)*s))/s assuming s is positive. s**(-1078/117) Simplify (w/w**(4/5)*w/(w/(w*w**(-2/7)/w)))/(w**(-2/9)/w**(-1/10)) assuming w is positive. w**(23/630) Simplify (a**(-4)/(a/((a/(a*a**(3/2)))/a*a))*a**(7/2)*a*a*a*(a**(-5)/a)/a)**(7/6) assuming a is positive. a**(-49/6) Simplify (k**(3/7)*k**(-3))/((k/k**(-6))/(k**(-2)*k)) assuming k is positive. k**(-74/7) Simplify ((x/x**(-7))/(x/(x*x**(-16)/x)))/(x*x**(3/8)*x*x/(x*x**5*x*x)) assuming x is positive. x**(-35/8) Simplify (o**(-3/13)/(o*o**(-15/8)/o*o*o))**(-15) assuming o is positive. o**(555/104) Simplify (c**(2/7))**(1/15)*(c/c**(-2)*c)/c**1 assuming c is positive. c**(317/105) Simplify (z/((z**17*z)/z))**(6/31)*z**(-4/7)*
{ "pile_set_name": "DM Mathematics" }
5*w**3 + 3*w - 21*w - 4*w**2. Give -9*s(q) - 4*t(q). q**3 Let a = -59 - -56. Let l(z) = -4*z + 7. Let d(m) = 11*m - 20. Determine a*d(g) - 8*l(g). -g + 4 Let y(d) = -d**3 - 2*d**2 + 2*d. Let g(u) = u**3 + u**2 - u. Let o = 8 + -4. Suppose 2 = 4*x - 2, -4*p - 2*x = -10. What is o*g(l) + p*y(l)? 2*l**3 Let y(l) = -6*l**3 + 5*l**2 + 11*l + 11. Let n(f) = f**3 - f**2 - 2*f - 2. What is 33*n(k) + 6*y(k)? -3*k**3 - 3*k**2 Let o(t) = t**3 + 6*t**2 - 4*t - 2. Let r(l) = -7*l**2 - 9*l**3 - 1 - 2 + 5*l + 8*l**3 + 5. Determine -7*o(a) - 6*r(a). -a**3 - 2*a + 2 Let g(n) = -17*n - 4. Let x(v) = -4*v - 11. Let m(w) = -w - 4. Let z(y) = -8*m(y) + 3*x(y). Give 2*g(l) - 9*z(l). 2*l + 1 Let m(y) = y. Let b(r) be the second derivative of -r**3/3 - 3*r. Give 2*b(v) + 6*m(v). 2*v Let g(a) be the first derivative of 2*a**2 + 2*a + 4. Let x(h) = h. Suppose -3*r + 2 = -1. Let t = 4 - 6. Give r*g(u) + t*x(u). 2*u + 2 Let l(d) = -3 + 1 - d + 3. Let p be l(-5). Let w(m) = -8*m**2 - 6*m - 6. Let c(b) = -b**2 - b - 1. What is p*c(v) - w(v)? 2*v**2 Let x(z) be the second derivative of z**3/2 - 3*z**2/2 - 7*z. Let b(w) be the second derivative of -2*w**3/3 + 2*w**2 + 2*w. Give -2*b(y) - 3*x(y). -y + 1 Let d(b) = 5*b**2 + 2*b. Let y(k) = -6*k**2 - 2*k. Determine -5*d(o) - 4*y(o). -o**2 - 2*o Let b(i) = -1. Let c(x) = 3*x - x + 3 - 4 - 5. Suppose 5*s - 2*y + 5 = -0*y, 0 = 4*y. Suppose 0 = -a + 2*h + 6, 3*h + 4 + 2 = a. Determine a*b(f) + s*c(f). -2*f Let j(d) = d**2 - 5*d + 4. Let g be j(3). Let c be (2 - -1) + g + 0. Let s(i) = -i. Let k(q) = 2 - 1 + 5*q - q - 3. Give c*k(u) + 6*s(u). -2*u - 2 Let v(w) be the second derivative of -w**5/10 + 5*w**4/12 - w**3 + w. Let g(y) = -6*y**3 + 14*y**2 - 17*y. Calculate 6*g(x) - 17*v(x). -2*x**3 - x**2 Let y(m) = -3*m. Let o(x) = 10*x. Determine -2*o(d) - 7*y(d). d Let r(t) = -185 - 2*t + 185. Let d(y) = -8*y + 1. Let j(c) = -c**2 + 2*c + 1. Let b be j(-1). Give b*d(a) + 9*r(a). -2*a - 2 Let l(t) = -2*t**3 - 8*t**2 - 2*t + 9. Let z(m) = -m**2 + 1. Let v(x) = l(x) - 4*z(x). Let r(y) = y**3 + 2*y**2 + y - 3. What is 5*r(p) + 3*v(p)? -p**3 - 2*p**2 - p Let s(r) = 7*r**2 - 2*r + 15. Let t(h) = 4*h**2 - h + 8. Determine -3*s(k) + 5*t(k). -k**2 + k - 5 Let t(y) = -2*y**3 + 7*y**2 + 11*y + 3. Let v = -2 - -8. Let p = v - 9. Let i(k) = -k**3 + 3*k**2 + 5*k + 1. What is p*t(s) + 7*i(s)? -s**3 + 2*s - 2 Let m(t) = -t - 4. Let j(p) = -4*p - 17. Give -2*j(h) + 9*m(h). -h - 2 Let n be (-5)/3 + 5/(-15). Let b(f) = 2*f + 2*f - 3*f + 2. Let w(p) = 5*p + 8. What is n*w(s) + 9*b(s)? -s + 2 Let s(l) = l + 3. Let z(u) = -1. Let r(t) = -3. Let i(j) = 2*r(j) - 5*z(j). Calculate 6*i(b) + s(b). b - 3 Let q(x) = x - x + x**2 + 47*x**2. Let p(d) = -3*d**2. Determine 33*p(g) + 2*q(g). -3*g**2 Let q(n) = -n - 1. Suppose 2*p - 3*p - 4 = -5*h, -3*p = h + 12. Let k(m) = h*m - m - m - 2. Determine 2*k(x) - 2*q(x). -2*x - 2 Let p(q) = -q - 5. Let f(t) = -1. Suppose 0 = 6*w - 12*w + 24. Determine w*f(b) - p(b). b + 1 Let z(q) = -3. Let f(l) = l - 4. What is -2*f(s) + 3*z(s)? -2*s - 1 Let v(n) = 5*n - 4 + 6 + 0. Let l(c) be the first derivative of -c**2 + 3*c - 2. Let d be l(3). Let t(q) = 14*q + 5. Give d*t(g) + 8*v(g). -2*g + 1 Let g(f) = 15*f - 11. Let r(t) = -t + 1. Determine -2*g(v) - 22*r(v). -8*v Let w(f) = -f**3 - f. Suppose -i - p + 4 = 0, 5*i - 2*i - p = 20. Let x be -1*(i - (-3)/(-1)). Let g(h) = -4*h**3 - 3*h. Give x*w(b) + g(b). -b**3 Let f(u) = -u**3 + u**2 - 3. Let b(l) = 1. What is -3*b(t) - f(t)? t**3 - t**2 Let d(q) = -3*q + 1. Let g(v) = -7*v + 3. Let f be (-6)/15 - (-88)/20. Let n be (-19)/f - (-1)/(-4). Calculate n*d(p) + 2*g(p). p + 1 Suppose 3 = 3*j - 3. Let w(g) = 2*g + 2. Let t(z) = 10*z + 10. Give j*t(a) - 11*w(a). -2*a - 2 Let h(w) = -w + 10. Let g be h(9). Let c = g + -5. Let r(p) = -p**2 - p + 1. Let a(i) = 6*i**2 + 3*i - 6. Calculate c*r(l) - a(l). -2*l**2 + l + 2 Let v(a) be the first derivative of -a**3/3 + a**2 - 3*a - 7. Let z(j) = -j**2 + 3*j - 4. Suppose -g - 3 = -2*g. What is g*z(o) - 4*v(o)? o**2 + o Let h(q) = -4*q**2. Suppose 5*j + 3*l + 45 = -50, 3*j - 2*l = -76. Let i(r) = -15*r**2. Suppose 5*z - 36 = -6. Calculate j*h(t) + z*i(t). -2*t**2 Let t(r) = -12*r**3 - 3*r - 5. Let a(v) = 6*v**3 + v + 2. What is 5*a(h) + 2*t(h)? 6*h**3 - h Let u(f) = 2*f**3 + f**2 + 4*f. Suppose -3*k - 1 - 4 = n, 3*n = -4*k - 5. Let q(z) = -z. Determine n*u(o) + 6*q(o). 2*o**3 + o**2 - 2*o Let l(d) = 2*d**2 + 2*d - 2. Let h be (9 - 8)/(2/4). Let i(r) = r - 1. What is h*i(a) - l(a)? -2*a**2 Let x(t) = -6*t**3 - t**2 - 4*t - 4. Let i(p) = -5*p**3 - p**2 - 3*p - 4. Determine -4*i(h) + 3*x(h). 2*h**3 + h**2 + 4 Let t(c) = 4*c - 39. Let q be t(9). Let m(k) = k**2 - 3*k + 1. Let s(i) = 4*i - 2. Calculate q*s(x) - 4*m(x). -4*x**2 + 2 Let q(v) = -v**2 - 2*v + 5. Let z(i) be the first derivative of -4*i**3/3 - 3*i**2 + 16*i - 2. Let l = -12 - -5. Let u = 4 + l. What is u*z(x) + 10*q(x)? 2*x**2 - 2*x + 2 Let d(r) = 1505*r**2 - 140. Let y(v) = -32*v**2 + 3. Calculate 3*d(a) + 140*y(a). 35*a**2 Let d(a) = -8*a**3 - 7*a**2 - 1. Let w(h) = 5*h**2 + 2*h - 2. Let v be w(-2). Let u(r) = r**3 + r**2. Calculate v*u(s) + 2*d(s). -2*s**3 - 2 Suppose -3*i + 5*p - 35 = 0, i - 4 = -3*p + 3. Let u(s) = 11*s - 2. Let a(d) = 5*d - 1. Give i*a(k) + 2*u(k). -3*k + 1 Let p(i) = -6*i**3 - 4*i**2 - 4*i + 3. Let t(f) = f**2 + f. Calculate p(j) + 4*t(j). -6*j**3 + 3 Let m(q) = 4*q - 4. Let h = 1 - -2. Let c(v) = v - 1. Calculate h*c(z) - m(z). -z + 1 Suppose -12 - 6 = -3*t. Let h(d) = -d**3 - 4*d**2 - 3*d. Let p(u) = u**3 + 3*u**2 + 2*u. Determine t*p(r) + 4*h(r). 2*r**3 + 2*r**2 Let r(h) = -15*h - 11. Suppose -49 = -4*l + y, 0 = -3*l + 2*y - 13 + 56. Let b(f) = -8*f - 6. Calculate l*b(c) - 6*r(c). 2*c Let u(f) = -6*f**3 + 5*f**2 - 5*f - 5. Let k(t) = 9*t**3 - 7*t**2 + 7*t + 7. Determine -5*k(d) - 7*u(d). -3*d**3 Let x(z) be the third derivative of z**4/6 - 2*z**3/3 + 39*z**2. Let i(q) = 5*q - 5. Give -5*i(c) + 6*x(c). -c + 1 Let a(g) = -g**2 - g + 2. Let q(u) = u**2 + u - 2. Give -4*a(k) - 3*q(k). k**2 + k - 2 Let b(f) be the third derivative of f**6/60 - f**5/30 + 7*f**3/6 - 12*f**2. Let a(v) = -v**3 + v**2 - 4. Give -11*a(j) - 6*b(j). -j**3 + j**2 + 2 Let b(w) = w**2 + 3*w + 2. Let p(t) = -t - 1. Give -b(o) - 3*p(o). -o**2 + 1 Let x(t) = -t**3 + t**2 - 4*t + 3. Let n(z) = 2*z**3 - z**2 + 3*z - 2. Determine 4*n(l) + 3*x(l). 5*l**3 - l**2 + 1 Let b(d) = -d**3 + d**2 - d. Let v(x) = 4*x**3 + 2*x**2 + x + 17. Let w(h) = -h**3 - h**2 - 6. Let k(c) = 6*v(c) + 17*w(c). Determine -5*b(s) - k(s). -2*s**3 - s Let v(t) = 2*t - 3. Suppose 5*u - 3*l + 10 = 0, -u = -5*l + 7 + 17. Let i be v(u). Let j(c) = 7*c + 1. Let y(z) = z. What is i*j(d) + 6*y(d)? -d - 1 Let z(y) = -4*y**2 - y + 7. Let p(c) = -2*c**2 + 3. Determine 5*p(f) - 2*z(f). -2*f**2 + 2*f + 1 Let b = -1 + 2. Let l = -9 - -12. Let r(a) = 6*a**2 - a - l*a**2 + 0*a - 4*a**2. Let w(m) = -5*m**2 - 2*m - 1. Determine b*w(j) - 4*r(j). -j**2 + 2*j - 1 Let k(y) = y**2 - y + 5. Suppose -5*f - 2*c + 28 = 0, 0 = -0*f + 4*f - 3*c - 4. Let d(u) = u**2 - u + 4. Let a = -53 + 48. Calculate a*d(z) + f*k(z). -z**2 + z Let j(i) = 2*i**3 + 4*i**2 - i - 1. Let a(r) = -r**2. Determine -4*a(g) - j(g). -2*g**3 + g + 1 Let f(u) = 5*u**2 - 5*u - 2. Let o(n) = -4*n**2 + 6*n + 3. What is -4*f(d) - 3*o(d)? -8*d**2 + 2*d - 1 Let w(r) = -2*r**3 + 6*r**2 - 3. Let c(b) = 3*b**2 - 1 - 1 - b**2 + 3*b**2 - b**3. Let l be ((-7)/((-7)/(-4)))/(-1). Give l*c(q) - 3*w(q). 2*q**3 + 2*q**2 + 1 Let b(p) be the second derivative of -1/20*p**5 + 0 - 1/6*p**3 - 1/2*p**2 + 1/12*p**4 + p. Let j(x) = 4*x**3 - 3*x**2 + 2*x + 4. Calculate 6*b(o) + 2*j(o). 2*o**3 - 2*o + 2 Let f(g) = -15*g - 1. Let h(d) = 23*d + 2. Give 8*f(a) + 5*h(a). -5*a + 2 Let q(w) = 5*w**2 - 2*w. Let u(d) = 4*d**2 - 3*d. Calculate -2*q(v) + 3*u(v). 2*v**2 - 5*v Let c(k) = -3*k**3 + 7*k**2 - 6*k + 6. Let d(t) be the third derivative of -t**6/15 + t**5/3 - 17*t**4/24 + 17*t**3/6 + 8*t**2. Calculate 17*c(l) - 6*d(l). -3*l**3 - l**2 Let r(u) = -u**2 + u - 1. Let q = 10 + -6. Let a = -5 + q. Let h(x) = -5*x**2 + 3*x - 1. Determine a*h(f) + 3*r(f). 2*f**2 - 2 Let y(m) = 4 - 3 + m - 2. Suppose 0 = -4*l + 20. Suppose 0*v = l*v + 5. Let o(g) = -3. What is v*o(z) + 2*y(z)? 2*z + 1 Let f(n) = 4*n**2 - 3*n + 5. Let w(z)
{ "pile_set_name": "DM Mathematics" }
7? 3, 17, 37 What are the prime factors of 9066200? 2, 5, 11, 13, 317 What are the prime factors of 2618336? 2, 7, 11689 What are the prime factors of 814890? 2, 3, 5, 23, 1181 What are the prime factors of 6759483? 3, 2253161 List the prime factors of 10254213. 3, 17, 67021 List the prime factors of 2913684. 2, 3, 242807 What are the prime factors of 4125294? 2, 3, 31, 7393 List the prime factors of 579021. 3, 257, 751 What are the prime factors of 496200? 2, 3, 5, 827 List the prime factors of 1738645. 5, 347729 What are the prime factors of 767932? 2, 11, 31, 563 List the prime factors of 15825989. 113, 140053 List the prime factors of 64179. 3, 2377 List the prime factors of 446273. 446273 List the prime factors of 294563. 294563 What are the prime factors of 334813? 37, 9049 List the prime factors of 429249. 3, 23, 6221 List the prime factors of 4983732. 2, 3, 13, 23, 463 List the prime factors of 75453. 3, 7, 3593 List the prime factors of 4362057. 3, 7, 69239 What are the prime factors of 3435661? 3435661 List the prime factors of 617793. 3, 11, 97, 193 What are the prime factors of 14727515? 5, 11, 2213 What are the prime factors of 34205812? 2, 43, 71, 2801 What are the prime factors of 6003254? 2, 61, 49207 List the prime factors of 645243. 3, 37, 5813 What are the prime factors of 8324274? 2, 3, 7, 198197 List the prime factors of 1277328. 2, 3, 13, 23, 89 What are the prime factors of 9178573? 31, 296083 List the prime factors of 2156230. 2, 5, 257, 839 List the prime factors of 248955. 3, 5, 7, 2371 List the prime factors of 4592373. 3, 1530791 What are the prime factors of 1802279? 1802279 List the prime factors of 2068442. 2, 1034221 List the prime factors of 254019. 3, 84673 What are the prime factors of 5264048? 2, 31, 10613 What are the prime factors of 1158224? 2, 191, 379 What are the prime factors of 22149108? 2, 3, 615253 List the prime factors of 1210106. 2, 43, 14071 What are the prime factors of 86234? 2, 43117 List the prime factors of 53548. 2, 11, 1217 List the prime factors of 1712850. 2, 3, 5, 19, 601 List the prime factors of 303145. 5, 19, 3191 List the prime factors of 3072253. 41, 74933 What are the prime factors of 1089057? 3, 363019 What are the prime factors of 5903927? 19, 310733 What are the prime factors of 69357? 3, 61, 379 List the prime factors of 7976092. 2, 59, 33797 What are the prime factors of 775266? 2, 3, 157, 823 List the prime factors of 745078. 2, 372539 List the prime factors of 230484. 2, 3, 19207 What are the prime factors of 135152? 2, 8447 List the prime factors of 13535078. 2, 991, 6829 What are the prime factors of 31458466? 2, 13, 17, 103, 691 List the prime factors of 3594738. 2, 3, 7, 12227 What are the prime factors of 294675? 3, 5, 3929 List the prime factors of 246117. 3, 82039 What are the prime factors of 3281853? 3, 1093951 What are the prime factors of 88645? 5, 17729 List the prime factors of 2650223. 29, 91387 List the prime factors of 1576170. 2, 3, 5, 83, 211 List the prime factors of 578070. 2, 3, 5, 2141 What are the prime factors of 101075? 5, 13, 311 List the prime factors of 309044. 2, 77261 What are the prime factors of 296577? 3, 31, 1063 What are the prime factors of 10710611? 53, 202087 List the prime factors of 1002130. 2, 5, 100213 What are the prime factors of 2618213? 13, 201401 What are the prime factors of 1922672? 2, 120167 What are the prime factors of 20916216? 2, 3, 449, 647 List the prime factors of 97058. 2, 13, 3733 List the prime factors of 31615720. 2, 5, 809, 977 What are the prime factors of 86150? 2, 5, 1723 What are the prime factors of 1050916? 2, 23, 11423 What are the prime factors of 17796451? 73, 243787 What are the prime factors of 1029865? 5, 281, 733 What are the prime factors of 2604035? 5, 7, 47, 1583 What are the prime factors of 785181? 3, 79, 3313 List the prime factors of 102511. 23, 4457 What are the prime factors of 102291? 3, 7, 4871 What are the prime factors of 167918? 2, 113, 743 List the prime factors of 1117028. 2, 11, 53, 479 What are the prime factors of 1116426? 2, 3, 186071 What are the prime factors of 26523? 3, 7, 421 What are the prime factors of 1738553? 59, 79, 373 List the prime factors of 13130235. 3, 5, 19, 5119 What are the prime factors of 73337? 11, 59, 113 List the prime factors of 13271157. 3, 509, 2897 List the prime factors of 30389342. 2, 769, 19759 List the prime factors of 19046514. 2, 3, 3174419 List the prime factors of 765939. 3, 255313 List the prime factors of 2918479. 2918479 What are the prime factors of 14044468? 2, 29, 41, 2953 List the prime factors of 24132997. 7, 73, 83, 569 What are the prime factors of 166508? 2, 41627 What are the prime factors of 12882937? 139, 92683 What are the prime factors of 30348559? 2621, 11579 What are the prime factors of 25739? 7, 3677 List the prime factors of 348399. 3, 38711 What are the prime factors of 5980989? 3, 7, 23, 29, 61 List the prime factors of 26621998. 2, 13, 103, 9941 What are the prime factors of 324792? 2, 3, 13, 347 What are the prime factors of 808062? 2, 3, 134677 What are the prime factors of 2447773? 2447773 List the prime factors of 445967. 445967 List the prime factors of 22393294. 2, 7, 11, 20773 List the prime factors of 613327. 11, 13, 4289 List the prime factors of 471596. 2, 117899 What are the prime factors of 3095820? 2, 3, 5, 7, 13 What are the prime factors of 505315? 5, 101063 List the prime factors of 2872638. 2, 3, 53197 List the prime factors of 2676495. 3, 5, 109, 1637 What are the prime factors of 115842? 2, 3, 43, 449 List the prime factors of 8955962. 2, 31, 144451 List the prime factors of 179728. 2, 47, 239 List the prime factors of 5453173. 11, 73, 6791 List the prime factors of 225512. 2, 7, 4027 List the prime factors of 1013837. 11, 37, 47, 53 What are the prime factors of 10300191? 3, 11, 29, 47, 229 What are the prime factors of 6255687? 3, 2085229 What are the prime factors of 279097? 7, 13, 3067 List the prime factors of 271689. 3, 11, 8233 What are the prime factors of 12057098? 2, 29, 47, 4423 List the prime factors of 8225269. 13, 632713 What are the prime factors of 193218? 2, 3, 32203 What are the prime factors of 2581066? 2, 1290533 List the prime factors of 204596. 2, 7, 7307 What are the prime factors of 145600? 2, 5, 7, 13 What are the prime factors of 1171873? 23, 50951 List the prime factors of 1653978. 2, 3, 181, 1523 List the prime factors of 1277110. 2, 5, 127711 What are the prime factors of 6967493? 13, 193, 2777 List the prime factors of 961310. 2, 5, 7, 31, 443 List the prime factors of 1454286. 2, 3, 163, 1487 What are the prime factors of 179454? 2, 3, 11, 2719 List the prime factors of 208087. 11, 18917 What are the prime factors of 10460119? 10460119 List the prime factors of 6413220. 2, 3, 5, 11, 41, 79 List the prime factors of 5280962. 2, 1613, 1637 What are the prime factors of 9789473? 9789473 What are the prime factors of 278451? 3, 10313 List the prime factors of 3258171. 3, 7, 17239 What are the prime factors of 5031893? 433, 11621 What are the prime factors of 24183239? 47, 71, 7247 What are the prime factors of 378669? 3, 126223 List the prime factors of 1634274. 2, 3, 90793 What are the prime factors of 2730045? 3, 5, 37, 4919 What are the prime factors of 3984662? 2, 11, 71, 2551 What are the prime factors of 230480? 2, 5, 43, 67 What are the prime factors of 774878? 2, 13, 29803 What are the prime factors of 431752? 2, 29, 1861 List the prime factors of 1632826. 2, 13, 62801 What are the prime factors of 939127? 7, 134161 What are the prime factors of 2929567? 383, 7649 List the prime factors of 6650208. 2, 3, 43, 179 What are the prime factors of 2030343? 3, 7, 109, 887 What are the prime factors of 7622227? 89, 85643 What are the prime factors of 236364? 2, 3, 19697 List the prime factors of 4524940. 2, 5, 7, 32321 What are the prime factors of 109618? 2, 23, 2383 What are the prime factors of 3228546? 2, 3, 37, 14543 List the prime factors of 631882. 2, 193, 1637 List the prime factors of 47725. 5, 23, 83 What are the prime factors of 13214154? 2, 3, 2202359 What are the prime factors of 84207? 3, 28069 List the prime factors of 625290. 2, 3, 5, 19, 1097 What are
{ "pile_set_name": "DM Mathematics" }
x(d) = -d**2 + 30*d - 187. Give x(30). -187 Let i(q) = q**3 + 22*q**2 - 67*q - 14. What is i(-24)? 442 Let k(n) = -24*n + 11. Calculate k(-1). 35 Let k(h) = 5*h**3 - 24*h**2 + 23*h - 21. Give k(4). 7 Let g(d) = d**2 + 1749*d + 17404. What is g(-10)? 14 Let j(i) = -12060*i + 373859. What is j(31)? -1 Let h(q) = q**3 - 32*q**2 + 236*q - 18. What is h(14)? -242 Let g(l) = l**3 - 7*l**2 - 14*l - 35. Give g(8). -83 Let n(j) = -j**2 + 45*j - 245. Calculate n(6). -11 Let r(g) = -g**3 - 111*g**2 - 3044*g + 953. What is r(-60)? -7 Let t(i) = -6*i**2 + 389*i + 1577. What is t(-4)? -75 Let d(g) = -88*g - 1242. Calculate d(-14). -10 Let z(y) = 6*y - 15. Calculate z(5). 15 Let k(r) = -2484*r + 2525. What is k(1)? 41 Let x(o) = -40*o**2 + 962*o - 60. Give x(24). -12 Let u(t) = 89*t + 3673. Give u(-41). 24 Let a(l) = -l**3 - 4*l**2 - 8*l - 40. Give a(-5). 25 Let i(b) = 20*b**2 - 1240*b + 7. Determine i(62). 7 Let b(z) = -3*z**3 + 4*z**2 + 26*z - 72. What is b(6)? -420 Let z(r) = r**2 + 18*r - 107. Determine z(10). 173 Let a(h) = h**2 - 17*h + 407. Give a(18). 425 Let d(p) = 62*p**3 - 3*p**2 + 2*p + 5. Determine d(-1). -62 Let r(g) = -g**2 + 62*g - 231. Determine r(56). 105 Let k(a) = -92*a**2 + 6442*a - 163. Give k(70). -23 Let b(k) = -k**2 + 16*k - 337. Give b(0). -337 Let z(v) = 2*v**3 - 97*v**2 - 60*v + 476. What is z(49)? -63 Let x(u) = u**2 + 12*u - 177. What is x(13)? 148 Let a(w) = -w**3 + 14*w**2 + 86*w - 596. Calculate a(17). -1 Let b(g) = -112*g**3 - 2*g**2 - g + 1. Calculate b(-1). 112 Let w(p) = 37*p**2 - 69*p - 266. Determine w(-4). 602 Let p(i) = 9*i**2 + 71*i - 4. Calculate p(-8). 4 Let h(c) = c**3 - 44*c**2 + 36. Determine h(44). 36 Let l(s) = -193*s - 974. What is l(-5)? -9 Let d(h) = -h**3 + 52*h**2 + 108*h - 147. Determine d(54). -147 Let n(u) = 34*u + 744. Determine n(-22). -4 Let m(r) = 22*r**3 + r**2 - 2. Calculate m(2). 178 Let f(l) = -6*l + 171. What is f(-22)? 303 Let f(t) = 122*t + 124. Calculate f(-4). -364 Let m(p) = 2*p**3 + 146*p**2 + 413*p - 495. Calculate m(-70). -5 Let z(n) = -18*n**2 - 203*n - 35. Determine z(-11). 20 Let h(s) = s**2 + 8*s - 19. Calculate h(-13). 46 Let x(y) = y**3 + y**2 + 2*y - 4. Give x(-3). -28 Let c(m) = 83*m - 4066. Calculate c(49). 1 Let p(a) = -4*a**3 + 3*a**2 + 69*a + 226. What is p(-3)? 154 Let c(z) = 606*z + 22409. Calculate c(-37). -13 Let m(s) = -208*s - 10884. Determine m(-52). -68 Let x(o) = 78*o + 555. What is x(-7)? 9 Let b(x) = -2*x**2 + 40*x + 1698. Calculate b(-27). -840 Let f(p) = p**2 + 30*p + 55. What is f(-25)? -70 Let k(o) = -o**3 + 31*o**2 - 65*o + 402. Give k(29). 199 Let c(z) = 2*z**3 + 16*z**2 + z - 23. What is c(-8)? -31 Let l(k) = -135*k + 68. Determine l(-1). 203 Let x(d) = 2*d**3 - 208*d**2 + 22*d - 2291. Give x(104). -3 Let g(u) = -18*u + 22. Calculate g(-20). 382 Let s(j) = 8*j**2 + 150*j + 445. Determine s(-15). -5 Let o(i) = -51*i**2 - 397*i. Determine o(-7). 280 Let j(k) = k**3 - 12*k**2 - 30*k + 11. Calculate j(14). -17 Let d(k) = -k**3 - 6*k**2 - 35*k - 329. Calculate d(-8). 79 Let q(c) = -64*c - 630. Determine q(-9). -54 Let m(u) = -8*u - 86. Calculate m(-24). 106 Let w(t) = 28*t + 214. Determine w(-9). -38 Let y(h) = -142*h**2 - 709*h - 48. What is y(-5)? -53 Let i(u) = -175*u - 363. Calculate i(-2). -13 Let o(r) = r**2 + 119*r + 3381. Give o(-47). -3 Let t(l) = -l**2 + 83*l - 902. Determine t(56). 610 Let t(z) = -117*z + 1185. What is t(10)? 15 Let t(b) = b + 23. Give t(40). 63 Let o(d) = 185*d - 171. Give o(1). 14 Let a(w) = 2*w**2 - 58*w - 56. Give a(30). 4 Let o(a) = -112*a**2 - 3*a - 8. Give o(0). -8 Let w(j) = 16*j + 371. Determine w(-25). -29 Let x(b) = 9*b**2 + 891*b + 1. Calculate x(-99). 1 Let q(u) = -2374*u - 4758. Calculate q(-2). -10 Let n(d) = d**2 - 275*d + 15127. Calculate n(76). 3 Let v(l) = -4*l + 136. Determine v(47). -52 Let q(s) = s**3 - 14*s**2 - 2*s + 17. Give q(14). -11 Let g(s) = -s**2 - 13*s + 79. Give g(0). 79 Let d(m) = -3*m**2 + 72*m - 158. What is d(4)? 82 Let c(g) = g**3 + 12*g**2 - 107*g - 4. Give c(6). 2 Let v(x) = -x**3 - 17*x**2 - 35*x + 87. Calculate v(-14). -11 Let m(f) = f**3 - 5*f**2 - 143*f + 973. Determine m(9). 10 Let b(p) = -182*p - 9470. Give b(-52). -6 Let k(j) = -j**3 + 6*j**2 + 6*j - 13. Determine k(2). 15 Let h(i) = -84*i + 698. What is h(10)? -142 Let v(b) = -b**2 - 7*b + 2697. Give v(50). -153 Let k(n) = -2*n**2 + 5*n + 1125. Give k(25). 0 Let k(a) = -4*a**3 + 26*a**2 - 18*a + 35. Determine k(6). -1 Let m(w) = 301*w - 897. Determine m(3). 6 Let z(c) = -70*c - 588. Calculate z(-15). 462 Let v(h) = 2*h + 89. Calculate v(-36). 17 Let s(i) = -94*i - 5. Calculate s(0). -5 Let a(b) = -50*b**2 + 4*b - 4. Calculate a(1). -50 Let i(d) = -d**3 + 3*d**2 - 41*d + 117. What is i(3)? -6 Let l(h) = 956*h - 7399. Determine l(8). 249 Let x(a) = -a**3 - 18*a**2 + 79*a + 31. Determine x(-22). 229 Let p(u) = -506*u + 23270. Calculate p(46). -6 Let n(v) = -9*v**3 - 10*v**2 - 6*v + 2. Calculate n(-2). 46 Let y(q) = -2*q**3 + q**2 - 10*q - 59. Calculate y(-5). 266 Let t(y) = 610*y + 1002. Calculate t(-2). -218 Let k(x) = -2*x**3 - 2*x**2 - 8*x + 3. Calculate k(-3). 63 Let h(s) = -3*s**3 - s**2 - 5*s - 52. What is h(0)? -52 Let t(w) = -w**3 + w**2 + 34*w + 13. What is t(-5)? -7 Let n(x) = 12*x**2 - 5*x + 30. Calculate n(5). 305 Let v(q) = q**3 - 212*q**2 - 424*q - 836. Calculate v(214). 20 Let y(w) = -25*w - 11. Calculate y(1). -36 Let n(g) = g**2 - 19*g + 189. Give n(8). 101 Let d(u) = -u**2 - u - 4. Calculate d(-1). -4 Let d(o) = o**3 - o**2 - 22*o + 62. What is d(-5)? 22 Let h(p) = -1082*p + 15135. Give h(14). -13 Let u(i) = -11*i**2 + 361*i + 18. What is u(33)? -48 Let z(m) = -71*m**2 - 45*m. Give z(2). -374 Let f(i) = i**3 + 108*i**2 - 222*i - 215. Calculate f(-110). 5 Let b(i) = i**2 + 51*i + 536. Determine b(-15). -4 Let v(p) = -45*p + 399. Give v(9). -6 Let s(u) = 3*u**2 - 48*u + 69. What is s(9)? -120 Let z(n) = 2*n**2 + 16*n - 22. What is z(5)? 108 Let o(q) = 5*q + 139. Calculate o(-25). 14 Let a(o) = o**3 + 8*o**2 - 4*o - 20. What is a(-8)? 12 Let s(x) = 4113*x + 123392. Give s(-30). 2 Let o(b) = b**2 + 1198*b + 1198. Give o(-1). 1 Let u(g) = 41*g + 944. What is u(-23)? 1 Let s(d) = 12365*d + 3. Calculate s(0). 3 Let d(o) = o**3 - 16*o**2 - 54*o + 13. Determine d(19). 70 Let k(l) = -34*l**2 + 4*l - 2. What is k(1)? -32 Let x(d) = -d**3 - 5*d**2 - 57*d - 636. Calculate x(-8). 12 Let c(r) = 4*r**2 + 88*r - 76. Calculate c(-23). 16 Let c(h) = h**3 + 18*h**2 - 326*h + 16. What is c(11)? -61 Let z(h) = 16*h - 447. What is z(28)? 1 Let m(r) = 280*r + 299. Calculate m(-1). 19 Let n(u) = -214*u**2 + 429*u - 8. What is n(2)? -6 Let i(q) = -4*q**2 - 3*q + 165. Determine i(-9). -132 Let f(u) = -199*u - 7594. Calculate f(-38). -32 Let f(s) = -5*s**2 + 305*s + 312. Determine f(62). 2 Let a(y) = -y**3 - 32*y**2 - 249*y + 13. What is a(-18)? -41 Let z(w) = 589*w + 5930. Give z(-10). 40 Let g(l) = 51*l**2 - 8*l - 17. Calculate g(-2). 203 Let l(r) = r**3 + 158*r**2 - 643*r - 15. Give l(4). 5 Let y(s) = s**3 + 2*s**2 - 20*s - 39. Calculate y(-5). -14 Let p(c) = -c**2 + 45*c - 358. What is p(35)? -8 Let i(x) = -x**2 - 20*x - 265. Calculate i(-13). -174 Let u(z) = -2*z**3 + 42*z**2 + 27*z - 292. What is u(21)? 275 Let a(z) = z**2 + 42*z - 483. Give a(10). 37 Let s(u) = -u**3 - 159*u**2 + 149*u - 1762. Calculate s(-160). -2 Let q(k) = -2*k + 135. What is q(74)? -13 Let u(g) = 125*g - 1100. What is u(8)? -100 Let i(a) = 6*a**3 + 64*a**2 - 9*a + 147. Calculate i(-11). 4 Let n(b) = -36*b**2 + 334*b + 293. Calculate n(10). 33 Let w(a) = a**3 - 2*a + 6. Give w(0). 6 Let o(r) = -r**3 - 23*r**2 + 70*r - 188. Determine o(-26). 20 Let i(q) = 4*q**3 - 243*q**2 - 71*q + 112. Give i(61). -498 Let l(p) = -22*p - 76. Determine l(-6). 56 Let b(r) = 23*r**2 - 2159*r - 45. What is b(94)? 237 Let k(o) = 3*o**2 - 15*o - 214. Calculate k(-6). -16 Let n(b) = 5*b + 17. Give n(-1). 12 Let q(i) = 442*i + 3814. Give q(-8). 278 Let u(q) = -4*q**2 - 33*q - 214. Give u(-9). -241 Let m(c) = -c**3 - 5*c**2 - 44*c - 263. Give m(-6). 37 Let k(r) = -9*r - 235. Determine k(-23). -28 Let s(m) = 5*m**3 - 24*m**2 - 10*m + 44. Give s(5). 19 Let c(f) = -2*f**3 + 4*f**2 - f - 8. Determine c(6). -302 Let f(x) = -x**2 - 4*x + 27. What is f(-4)? 27 Let x(f) = 129*f - 905. Give x(8). 127
{ "pile_set_name": "DM Mathematics" }
(-6)/(-2)))*-2. Suppose -2*f = -5*b + 1173, -3*b = -4*f - z - 504. Does 18 divide b? False Suppose 792 = 76*k - 72*k. Is 4 a factor of k? False Suppose -16*f = -13*f - 9. Suppose -29 + 9 = -4*v. Suppose 0 = z - v*q, f*z = -q - q + 68. Is 20 a factor of z? True Suppose -9 = -3*t, 5*o + t - 4*t - 381 = 0. Is o a multiple of 26? True Suppose 0*k - 2*k - k = 0. Let l(n) = -n**3 - n**2 + n + 54. Is 10 a factor of l(k)? False Is (36/15)/((-81)/(-7560)) a multiple of 7? True Let w(r) = 7*r**3 + 12*r**2 - 24. Let y(m) = 4*m**3 + 6*m**2 - 12. Let n(x) = -3*w(x) + 5*y(x). Does 3 divide n(-6)? True Suppose -429 = -3*k - w - 10, 0 = 2*k + 3*w - 291. Let a(i) = -i + 12. Let q be a(8). Suppose m = q*m - k. Is m a multiple of 10? False Let d be ((-9)/3 - -7) + 148. Suppose z + 5*u = 38, 0*u - d = -4*z - 2*u. Is 8 a factor of z? False Let x be (-1235)/(-5) + (-3)/(-3). Let l = 39 + x. Does 41 divide l? True Suppose 4*i = -h + 24, -2*i - 2*i = -4*h - 4. Suppose h*j - 13 = b, 4*b + 2*j - 33 = -13. Suppose 3*w = b*n - 48, n + 2*w - 11 = -2*w. Is n a multiple of 15? True Is (-3881)/(-8) - ((-105)/56 + 2) a multiple of 21? False Let p(f) = f**3 + 6*f**2 - f - 2. Let d be p(-6). Let h = 9 - d. Suppose h*y + 4*j = 3*j + 32, 0 = -2*y - 5*j - 1. Does 2 divide y? False Let u(h) = 4*h**2 + 5*h - 60. Does 57 divide u(-12)? True Let f = -5 + 11. Let v = 9 + f. Suppose 5*g - 4*g = v. Is 11 a factor of g? False Let k = -589 + 876. Does 39 divide k? False Let q(y) = 198*y + 77. Is q(4) a multiple of 92? False Let a(z) be the first derivative of 11*z**3/3 + 2*z**2 - 4*z - 4. Is 33 a factor of a(-4)? False Let i be 13 + 6/2 + 1. Suppose 136 = 9*f - i. Does 2 divide f? False Suppose 91 = -4*c + 995. Suppose 3*n + c + 8 = 0. Let t = -34 - n. Is 22 a factor of t? True Let u(q) = -q**3 + 12*q**2 + 5*q + 12. Let v be u(12). Let y = v - 42. Is y a multiple of 10? True Let i(l) = -6*l**3 - 6*l**2 + 9*l + 7. Let u(s) = s**3 - s - 1. Let m(y) = i(y) + 5*u(y). Is m(-7) a multiple of 19? False Suppose -9*w + 37 = -8. Suppose 189 = w*h + 2*r + 13, -r - 2 = 0. Is h a multiple of 6? True Suppose 0 = -5*w + 5*h + 2175, 3*w - w = -5*h + 905. Let k = w + -305. Is 15 a factor of k? True Let z(r) = r**3 - 5*r**2 - 6*r. Let p be z(6). Let u(n) = -3 + p*n**2 + 5*n**2 - 3*n**2 + 2*n**2. Does 4 divide u(-2)? False Let c = -101 - -103. Suppose 263 = 4*o + 3*p, -o = 2*p + c*p - 69. Is 35 a factor of o? False Suppose -29*y + 39338 = -3*y. Is 78 a factor of y? False Let o(t) = 2*t + 207. Does 13 divide o(-39)? False Let k = 110 - -583. Is 3 a factor of k? True Suppose 0 = 22*r - 15*r - 3689. Does 27 divide r? False Suppose 2*d + 5 + 3 = 0. Let q be 1 + d - (4 - -37). Let a = q + 76. Does 16 divide a? True Let m(f) = f**2 - 17*f + 477. Is 12 a factor of m(0)? False Suppose 5*k - 26 = 119. Is k a multiple of 8? False Let j be (-6)/42 - 507/(-21). Let p = j + -19. Suppose 3*y - 3*m - 222 = 0, -p*m = -0*y - y + 78. Does 16 divide y? False Let j(y) = y**2 - 6*y + 3. Let l be j(6). Suppose 2*c + 3 = l*c. Let n(r) = -r**3 + 6*r**2 - 4*r + 1. Does 5 divide n(c)? False Let f(i) = -i**2 + 18*i - 20. Let v be f(17). Let y be (2 - 3 - v) + 5838. Is y/75 - 2/(-15) a multiple of 36? False Suppose 0 = -4*b - 67 + 75. Is 11/((b/(-16))/((-3)/4)) a multiple of 8? False Suppose -9*l + 9663 = -2631. Is 74 a factor of l? False Suppose 43*b - 40*b = -p + 245, 5*b - 2*p = 390. Is b a multiple of 40? True Let g be 4/30*-111*5. Let n = g + 107. Is n a multiple of 4? False Let i = -2 - -20. Is 22 a factor of 115 - 1 - 72/i? True Is 7 a factor of (96450/70 - 6) + 6/(-7)? False Let y = 36 + -34. Suppose 0 = y*h - 10*h + 792. Is 39 a factor of h? False Let d(w) = -w**2 - w - 7. Let i be d(0). Let n = 9 + i. Suppose 3*o - n*o = 9. Is o a multiple of 3? True Is 3 a factor of (-4)/((-40)/1990) - -7? False Does 46 divide (-162)/15*(-80 + -10)? False Let o = -165 + 350. Is o a multiple of 11? False Let b(y) = -y**3 + 10*y**2 + 19*y + 31. Let g be b(11). Suppose 177 = 8*l - g. Is 37 a factor of l? True Suppose -2*r - 5*d + 39 = 0, -2*r + 5*d = 11 - 0. Suppose 4*g = r*g + 9. Let j = g - -21. Is 18 a factor of j? True Suppose 1559 = 29*u - 7112. Is u a multiple of 37? False Suppose 27*h = 32*h - 405. Let q = -33 + h. Is 24 a factor of q? True Let i = 19 - -1. Is 4 + 5/(i/16) a multiple of 2? True Let w(l) = 38*l**3 + 2*l**2 - 1. Let q = 121 + -120. Does 7 divide w(q)? False Is 13 a factor of (-66)/(-1023) - 4832/(-62)? True Let m(o) = 3*o**3 - 5*o**2 - 35*o + 128. Is 5 a factor of m(4)? True Let f be 1 + (-68)/51*309/2. Let w = f + 288. Is 44 a factor of w? False Suppose -5*u - 11 - 4 = 0, 0 = -4*p + 4*u + 2140. Is 76 a factor of p? True Let w = 19 - 23. Let o be (96/28)/w*-7. Suppose -o*t + 140 = -4*t. Does 13 divide t? False Suppose 14*s + 5*c = 9*s + 615, 4*s + 5*c = 487. Is 7 a factor of s? False Let h be (5 - (8 - 4))*7. Let c(y) = 5*y**2 - y**2 - 1 - 3*y**2 - 5*y. Does 11 divide c(h)? False Let l(k) = 9*k - 10. Let n(d) = 18*d - 19. Let f(r) = -11*l(r) + 6*n(r). Suppose 5*u + 3 = -c + 25, 3*u - 6 = 3*c. Does 9 divide f(u)? False Is (7/(-3) - -1)*-240 a multiple of 5? True Let a = -10 + 17. Suppose 43 = a*x - 6. Is x a multiple of 7? True Suppose -5*o - 66 = 4*a + 49, a = -5*o - 100. Let h = o + 32. Is h a multiple of 7? False Suppose 2*x - 4*y = -0*y, 8 = 2*x + 4*y. Let s = -20 - -37. Suppose -6 = -x*j + c + 2, 0 = -5*j + c + s. Is j a multiple of 2? False Suppose 14 = -4*o + 42. Suppose 0 = o*i + i + 16. Let q(f) = -7*f**3 - 2*f**2 + f - 1. Is 7 a factor of q(i)? False Let a be (-18)/12*(-8)/3. Suppose m = -l + 6, -a*l = m - 5*m + 8. Suppose l*d - 6*d + 72 = 0. Is d a multiple of 6? True Suppose 0 = -18*t + 14*t + 128. Suppose 5*m - 9*m = t. Let r = m - -20. Is r a multiple of 3? True Let j be ((-42)/(-6))/((-21)/(-15)). Let p be (0 - 1) + 95/1. Suppose 46 = j*l - p. Is l a multiple of 7? True Let m be (6/15)/((-3)/(-255)). Let i = m - 18. Is 8 a factor of i? True Let j(u) = -195*u - 1. Let w(c) = -c**2 + 15*c - 1. Let k be w(15). Does 27 divide j(k)? False Let g be ((9/1)/(-3))/(-1). Suppose z + 4 = -g*z. Is 1*(1 - (z + -19)) a multiple of 7? True Suppose 3851 = 25*b - 34649. Is 28 a factor of b? True Let t be 3 + 5/((-5)/(-2)). Let o = -5 + t. Is (3 - o)/(-1) + 52 a multiple of 19? False Is 5 a factor of (-3 + -358 + 0/(-5))/(-1)? False Let r = 25 + -7. Let b = -13 + r. Suppose -282 = -b*l + 8. Is l a multiple of 29? True Let o(w) = 3*w + 2. Let d be o(4). Let z be ((-5)/(-10))/(1/d). Suppose z*b - 2*b + 2*y - 75 = 0, -60 = -4*b + 2*y. Is 7 a factor of b? False Suppose -k = 5*r + 61, -2*r - 5*k = 3*r + 45. Let f be ((-10)/3)/((-2)/15). Let y = r + f. Does 9 divide y? False Let v = -34 - -37. Suppose 2*q + 5*t + 17 = v, 5*q - 4*t = 31. Is q even? False Suppose 5*g - 4*p - 558 = 357, 5*g + p = 940. Suppose 3*h - g + 4 = 0. Is 10 a factor of h? False Let a be 4/6*3/2. Suppose -2*l = -w - 0*l + 4, 15 = 3*l. Let b = a + w. Is 3 a factor of b? True Let a be (18/(-4))/(60/(-80))*1. Suppose a*s + 5*p - 220 = s, 0 = s - 2*p - 47. Is s a multiple of 9? True Is (-3890)/(-15) + (-8)/6 a multiple of 7? False Let t(l) be the second derivative of 3/2*l**3 - 3/2*l**2 - 1/12*l**4 + 0 + l. Is 2 a factor of t(7)? False Suppose -s - 2*f = -5*f - 105, 5*s + 2*f - 593 = 0. Suppose -j + 2*j - 18 = t, -s = 5*t + 4*j. Is 25 a factor of (90/t)/((-2)/14)? False Suppose 5*n - 11 = 4. Suppose -5*f - 3*q + 37 = 0, -17 = 2*f - 3*f - n*q. Suppose 6*b - f*b - 24 = 0. Is 8 a factor of b? True Let k = 2269 - 978. Does 102 divide k? False Let r = 99 + 93. Is r a multiple of 6? True Suppose 5*i - 2*i = v + 87, 0 = 3*i - 4*v - 87. Suppose -9 + 47 = 5*j - 3*c, c = 4*j - i. Is 866/j + 2/7 a multiple of 25? False Let x = 228 + -206. Suppose -3*a + 3*y - 3 = 0, -5*y + 26 = -2*a + 9. Let r = x - a. Does 8 divide r? False Suppose 0 = 10*o - 20. Suppose -d + o*d = -2*y + 239, -598 = -5*y - 2*d. Is y a multiple of 15? True Suppose -5*g - 57 - 158 = 0. Let x = -29 - g. Does 14 divide x? True Suppose 4*d - 2*d = -66. Let k = d + 8. Let y = -7 - k. Does 10 divide y? False Suppose 32*g + 13434 - 38746 = 0. Is g a multiple of 89? False Let b = -21 + 140. Is 17 a factor of b? True Does 9 divide 1/5 - 276545/(-1025)? True Let p(u) = 2*u**2 - 2*u + 14. Suppose -5*g + g = 28. Is
{ "pile_set_name": "DM Mathematics" }
- -3). 5 Let b(w) be the first derivative of 9*w**2/2 - 2*w - 3. Suppose q = 3*r + 15, 9*q - 2*r - 88 = 4*q. Calculate the remainder when b(4) is divided by q. 16 Let y = 148 - 138. What is the remainder when 22 is divided by y? 2 Suppose 0 = 6*a - a - 20. Calculate the remainder when 18 is divided by a. 2 Suppose -4 = 10*t - 264. What is the remainder when t is divided by 7? 5 Let w = -7 - 1. What is the remainder when 270/8 - 2/w is divided by 12? 10 Suppose -2*b + 714 = 5*f + 162, -2*f + b = -228. Calculate the remainder when f is divided by 31. 19 Suppose 0 = -4*m + 4*o + 24, -m + 15 = m - 5*o. Suppose -m*f = 2*d - 17, -3*f - 2*d - d = -3. Calculate the remainder when 13 is divided by f. 3 Let v(o) = -o**3 - 2*o**2 - 2. Suppose -3*a - 95 = -2*g - 2*g, -g + 10 = 2*a. Calculate the remainder when g is divided by v(-3). 6 Suppose -b = v - 59 + 2, 5*b + 245 = 5*v. Calculate the remainder when v is divided by 14. 11 Suppose 0 = 4*n + i - 0*i - 95, -3*i = 2*n - 55. Calculate the remainder when 4/6 - 127/(-3) is divided by n. 20 Let s = -2 + 2. Suppose s = 5*g + 1 - 6. Let c = g - 0. Calculate the remainder when 1 is divided by c. 0 Let l = -20 - -25. Calculate the remainder when l is divided by 4. 1 Let s be 2/9 + (-16)/(-9). Suppose 63 = -s*a - 3*y, 3*y = a + 2*a + 57. What is the remainder when 34 is divided by ((-3)/(-2))/((-3)/a)? 10 Suppose -3*g + 204 = 9*g. What is the remainder when 184 is divided by g? 14 What is the remainder when 2/3*819/42 is divided by 2? 1 What is the remainder when 60 is divided by (-1390)/(-40) - (-3)/(-4)? 26 Suppose -27 + 42 = 3*k. Suppose 3*i = -5*y + 95, k*y - 3*i = i + 95. What is the remainder when y is divided by 7? 5 Suppose -5*u + u = -16. Suppose -u = -g + 12. Suppose 7*p - g = 3*p. Calculate the remainder when 10 is divided by p. 2 Calculate the remainder when 1/((-1)/5*-1) is divided by 3. 2 What is the remainder when (60/(-9))/(2/(-15)) is divided by (-75)/(-6) + (-2)/(-4)? 11 Suppose 1957 = 19*l - 266. What is the remainder when l is divided by 40? 37 Let n = -1 - -12. What is the remainder when n is divided by 4? 3 Suppose 5*x = 10, -h = -0*h - 4*x + 1. Let b(k) = -k + 11. Let f be b(h). Suppose f*r + 19 = 55. What is the remainder when r is divided by 5? 4 Suppose -3*b = -4*b + 27. What is the remainder when 104 is divided by b? 23 Let t(b) = b**3 - 9*b**2 + 7*b + 8. Let r be t(8). Suppose -5*n + r*d = -5*d - 280, 168 = 3*n + 5*d. Calculate the remainder when n is divided by 19. 18 Let v(w) be the third derivative of w**4/24 - 2*w**3/3 + 7*w**2. What is the remainder when 10 is divided by v(10)? 4 Let o(k) = 3*k + 2. Suppose -5*j = 20*j - 550. Calculate the remainder when j is divided by o(2). 6 Suppose -3*q + q + 520 = 0. Suppose q + 73 = 3*i. What is the remainder when (-2)/5 - i/(-15) is divided by 3? 1 Let k(w) = 2*w**2 + 4*w + 3. Let d be ((-6)/2)/((-3)/(-2)). Suppose -21 = -3*b + 3. Calculate the remainder when b is divided by k(d). 2 Suppose -2*u + 4*b - 4 = 8, 4*u = -b + 21. What is the remainder when u is divided by 3? 1 Suppose 5*p - 4*q - 76 = 0, 2*q - 7*q + 4 = 2*p. Suppose -2*c = -c - p. What is the remainder when 21 is divided by c? 9 Let b = -11 + 11. Suppose 0 = 3*z - 3*p - 132, b = -2*p + 4*p + 10. What is the remainder when z is divided by 10? 9 Suppose -22 = -9*q + 14. Calculate the remainder when 27 is divided by q. 3 Let a = -5 + 6. Suppose 0 = -o + 3*w + 20 - a, 159 = 5*o + w. What is the remainder when o is divided by 11? 9 Suppose 4*z = -0*z. Suppose 2*o + z = 22. Calculate the remainder when o is divided by 6. 5 Let o be 1/2*1*-10. Let y(b) = -6*b**2 - 9*b + 10. Let g(w) = -5*w**2 - 8*w + 9. Let f(q) = o*g(q) + 4*y(q). What is the remainder when 27 is divided by f(-6)? 6 Let y(c) = -c**2 - 6*c + 3. Let u be y(-3). Let g = u - 4. Suppose 0 = -3*h - 3*j + 78, 4*h = -3*j - 2*j + 108. Calculate the remainder when h is divided by g. 6 Suppose -2*r - 10 = -7*r. Suppose 7 + 11 = r*g. Let m(f) = f + 8. What is the remainder when 50 is divided by m(g)? 16 Let z(g) = g + 6. Let l(y) = -3*y - 18. Let v(m) = -2*l(m) - 7*z(m). Let k be v(-5). Calculate the remainder when (k/(-1))/(5/155) is divided by 11. 9 Let n = 2 - -5. Suppose n + 25 = 2*o. Calculate the remainder when 1*o - 0 - -1 is divided by 6. 5 Let s = 50 + -29. Let m = -13 + s. Calculate the remainder when 22 + 3/9*3 is divided by m. 7 Let j(d) = 4*d + 1. Let x be j(-2). Let m(l) = l + 11. Calculate the remainder when 14 is divided by m(x). 2 Suppose 2*g + 53 = 3*g. Suppose -25*w + 162 = -16*w. What is the remainder when g is divided by w? 17 Let h(v) = 7*v - 4. What is the remainder when 8 is divided by h(1)? 2 Let k(o) be the third derivative of 4*o**5/15 + o**4/24 - o**3/6 - 6*o**2. What is the remainder when 41 is divided by k(-1)? 13 Let k(d) = d**2 + d - 4. What is the remainder when k(7) is divided by 11? 8 Suppose 0*n - 434 = -4*t + 2*n, -4*n - 220 = -2*t. What is the remainder when t is divided by 55? 53 Let a be (-40)/(-6) - 4/6. Let l(c) = c**3 - 7*c**2 + 7*c + 6. Calculate the remainder when 22 + -2 + 1 - -1 is divided by l(a). 10 Suppose 2 = f + 4*o, -4*o + 0 = 3*f - 6. Calculate the remainder when 42 + f + 1 + 0 is divided by 23. 22 Calculate the remainder when 81 is divided by 40/10*(-42)/(-8). 18 Let u be 7/5 + (-12)/(-20). Suppose -4*h = u*b - 28, 0 = 3*b - 6*b + 6. Let q = h - 3. Calculate the remainder when 8 is divided by q. 2 Suppose -f - 28 = 4*f - k, 4*f = 4*k - 16. Calculate the remainder when 7 is divided by (-16)/f + 2/(-3). 1 Suppose -7*z + 444 = -25. What is the remainder when 466 is divided by z? 64 Let q = 2 + 27. Suppose 3*z - 4 = q. Let g = z - 7. What is the remainder when 10 is divided by g? 2 Suppose 9*p - 185 = 4*p. What is the remainder when p is divided by (-12)/((-2)/(4/3))? 5 Calculate the remainder when ((-85)/2 - 2)/((-5)/10) is divided by 23. 20 Suppose 5*k + 43 = 5*c - 57, -32 = -2*c - 2*k. Calculate the remainder when 71 is divided by c. 17 Suppose 2*i - 3 - 5 = 0. Calculate the remainder when (-2 + 14/4)*10 is divided by ((-16)/(-1))/i - -2. 3 Calculate the remainder when 0 - (-96 + -1) - (62 - 62) is divided by 25. 22 Let w(l) = l - 2. Let n be w(7). Suppose 0 = -n*z - f + 156, -3*z + 6*z - 2*f - 91 = 0. Suppose -u - 4*u = -80. What is the remainder when z is divided by u? 15 Suppose 0*a - 35 = -5*a. Let l = 9 + a. Suppose 5*u = d + 29 - 3, u + 2*d - 14 = 0. What is the remainder when l is divided by u? 4 Let j(g) = -11*g + 7. What is the remainder when j(-5) is divided by 17? 11 Let r = -37 - -24. Calculate the remainder when -2*r*3/6 is divided by 7. 6 What is the remainder when (-6)/(-9) + (-507)/(-9) + 1 is divided by 15? 13 Let o = -44 + 58. Let i(d) = 2*d**2 - d - 4. Let h be i(-3). Let t = h - 9. What is the remainder when o is divided by t? 6 Let v = 1 - -3. Suppose v*o - o = 36. Let d(b) = b**3 - 3*b**2 + 6*b - 6. What is the remainder when d(4) is divided by o? 10 Let u = 2 + -2. Let t be (-1)/(-3)*(-3 - u). Let n = 1 - t. Calculate the remainder when n is divided by 2. 0 Let j be (-6)/(-4)*(-16)/(-12). Suppose -7 = 4*c - 19, j*h - 2*c - 52 = 0. What is the remainder when h is divided by (-1)/(-1*1/10)? 9 Let h(g) = -23*g - 11. What is the remainder when h(-4) is divided by 28? 25 Suppose -147 = -3*a + 42. What is the remainder when a is divided by 11? 8 Suppose 4*t - 2*m - 15 = 3*t, 0 = -5*t - 4*m + 5. Suppose 170 = 10*a - t*a. Let f = -21 + a. Calculate the remainder when 37 is divided by f. 11 Let w(p) = p**3 - 8*p**2 - 7*p - 9. Let f be w(9). Let k(i) = 5*i + 2*i**3 - 9*i**2 - i**3 + 0*i**3 - 2. Calculate the remainder when k(f) is divided by 15. 13 Let c = 105 - 91. What is the remainder when (11/(-3) - 0)*-15 is divided by c? 13 Let i(n) = n**2 + n + 3. Let l = -27 + 56. What is the remainder when l is divided by i(-4)? 14 Let v be ((-9)/15)/(44/(-20) - -2). Let d = -12 - -63. Suppose -v*c + 0*c = 2*n - d, -5*n + 3*c = -96. What is the remainder when n is divided by 11? 10 Suppose -4*m + 16 = -2*m. Let b = m - -2. Calculate the remainder when 29 is divided by b. 9 Let m = 1 - 4. Let c(h) = -9*h - 4. What is the remainder when c(m) is divided by 7/(21/18) - -2? 7 What is the remainder when 46 is divided by (-1 - 0)/((-3)/75)? 21 Let f = -49 - -82. What is the
{ "pile_set_name": "DM Mathematics" }
6/(-21). 40 Find the common denominator of 83/4 and 33/(-18) - -1*(-3)/(-3). 12 Let u be (-13395)/1911 + (-4)/26. Let y = u - 1831/490. What is the common denominator of y and -17/18? 90 Suppose 38 = 4*l + 22. What is the lowest common multiple of l and 96? 96 Let u(n) = -n**2 + 4*n + 7. Calculate the least common multiple of u(5) and 4. 4 Suppose 2*g - 48 = -4. Calculate the least common multiple of -3 - -4 - (1 + -2) and g. 22 Let o = 24 + 9. Calculate the common denominator of 0 + ((-39)/o - -2) and 23/11. 11 What is the lowest common multiple of 2/1*100/10 and 10? 20 Suppose 4*p = 34 + 46. Let i = -595 - -5392/9. Calculate the common denominator of i and (-1012)/(-80) - 8/p. 36 Suppose -2*q = -5 - 1. Suppose -o = -4*o - 5*v + 94, -3*o + 84 = q*v. What is the common denominator of -10 and o/(-11) - (-1 + 0)? 11 Let t = 4183/396 - -2/99. Suppose 0*p + 4 = 4*p. Find the common denominator of (366/4)/((-33)/p) and t. 132 Suppose c + 3 = 0, z - 20 = 3*c + c. Calculate the smallest common multiple of 9 and 1 + -2 + z + 1. 72 Let r be (-6)/2 - (-445)/45. Let f = -1409/198 + r. What is the common denominator of f and -13/2? 22 Suppose 0 = 10*m - 12*m + 27802. Let o = -222503/16 + m. Calculate the common denominator of -9/4 and o. 16 Suppose 2*j - 3 = 5. Suppose -3*b + j*b = -5. What is the least common multiple of (-1 - 7/5)*b and 16? 48 Let d = 44 - 41. Calculate the lowest common multiple of 6 and d. 6 Suppose 3353 = 2*q + 359. Find the common denominator of -145*(10/12)/5 and 4/(-14) + q/168. 24 Let g be -27*(2/(-1) + -1). What is the common denominator of (1/21)/(2/g) and ((-1)/18)/(4/534)? 84 Suppose 4*s - 888 = -3304. What is the common denominator of (21/56)/((-27)/s) and -47/16? 144 Suppose g + 2*g - 99 = 0. Suppose -4*a = -3*y + 15, 6 = 4*y + a - g. Calculate the smallest common multiple of y and 9. 9 Let u = -581 - -349. Let o = u - -2323/10. Let g = -5803/6 + 972. Find the common denominator of o and g. 30 Find the common denominator of 427/(-63) - 6/4 and 21/16. 144 Suppose 0 = 5*r + 3*u - u - 110, 3*u = 0. What is the smallest common multiple of r and 26? 286 Calculate the least common multiple of 28 and -1*(4 + 0 + -11). 28 What is the common denominator of (-4)/(-30) + (-10073)/(-840) and -101/10? 40 Let l = 3 + -2. Calculate the least common multiple of 15 + (-3 - (-1 - l)) and 10. 70 Let w = 3835/3 - 1266. Calculate the common denominator of (-5)/(-50)*(49 - -2) and w. 30 Suppose 0*i - 2*i + 2*b = -24, -5*i + 24 = 4*b. Let a(n) = n + 6. What is the lowest common multiple of i and a(0)? 24 Let x = -7 - -3. What is the common denominator of 5 + x + (-34)/(-24) and -95/6? 12 Suppose 4*m - 3*m = 0. Suppose -c = -m*c - 6. Calculate the smallest common multiple of 10 and c. 30 What is the smallest common multiple of -1 + (1*25)/(8 + -7) and 2? 24 Let y = -177 - -217. Calculate the smallest common multiple of y and 3. 120 Suppose m + 3*l - 11964 = 0, -4*m + 6610 = -4*l - 41246. Let j = -215431/18 + m. What is the common denominator of j and -73/8? 72 Let d(p) = -2*p - 1. Let i be d(-1). What is the smallest common multiple of 5 and ((-20)/(-16))/(i/4)? 5 Suppose -17 + 7 = -5*k. Calculate the smallest common multiple of k and 6. 6 Suppose -4*r + 62 = 4*p + 6, -2*r + 10 = -4*p. Let u(b) = b**3 + b + 6. Calculate the smallest common multiple of u(0) and r. 66 Let j(k) = k**3 + 16*k**2 - 2*k - 16. What is the least common multiple of 16 and j(-16)? 16 Let u be 12*1*2/3. Suppose -3*n + 12 = -0*n. Suppose -n - u = -4*g. What is the lowest common multiple of g and 7? 21 Let g be 0 - 9/(-3) - 0. Find the common denominator of ((232/g)/(-2))/2 and 19/5. 15 Let o = -15 + 6. Let s = 35 - o. Suppose -3*d + s = -d. Calculate the smallest common multiple of 10 and d. 110 Let t(r) = -r**3 + 2*r**2 + 5*r - 2. Let k be t(3). Suppose k*o - 15 = 5. Calculate the lowest common multiple of 3 and o. 15 Let r(w) = -w**2 - 5*w + 7. Let j be r(-5). Suppose 67 = 5*s + 4*m, -s - j = 3*m - 27. Suppose -6 - 9 = -5*z. What is the lowest common multiple of s and z? 33 Let j(v) = -v**3 + 7*v**2 - 3*v - 2. Suppose -2*h = -2*o + 8, 2*o - 12 - 10 = -5*h. Calculate the lowest common multiple of 105/(-14)*8/(-5) and j(o). 48 Let u(s) = -32*s. Let t be u(1). Calculate the least common multiple of 6/(-4)*t/6 and 18. 72 Let v be (1/3)/((-5)/75). Let g = v + 14. Find the common denominator of -56/5 and 2 + g*3/(-12). 20 Find the common denominator of 9/(-6)*57/(-9) and -25/22. 22 Let s = 3241/4 - 799. Find the common denominator of s and 89/44. 44 Suppose -3*b = -4*p - 24, 4*p = 4*b - 11 - 9. Calculate the common denominator of (-329)/98 - (1 - -1) and (3/8)/(p/142). 84 Suppose 0 = 5*i - 2*g - 22, 5*i = -g + 27 - 8. Suppose i*m - 50 - 30 = 0. Calculate the least common multiple of 22 and m. 220 Let v = 49335449 - 175617621729137/3559664. Let f = v + 30335456663/195781520. Let a = 1539/10 - f. What is the common denominator of -35/12 and a? 132 Let h = -4063/38064 - 5/624. Let p = -391573/20 - -71569219/3660. Let r = p + h. What is the common denominator of 41/9 and r? 9 Suppose 0 = 5*o - 0*o + 140. Let f = o - -44. Let x = 1 + 11. Calculate the least common multiple of x and f. 48 Find the common denominator of -57/10 and (-6)/4*(-101)/(-18). 60 Suppose 4*f + 1 = 41. Calculate the smallest common multiple of 22 and f. 110 Find the common denominator of 172/(-32) + 3 + -4 and 109/22. 88 Let m = 93/8458 + 38986779/33832. Let v = m - 1146. Calculate the common denominator of v and ((-2)/4)/((-14)/58). 56 Let l(g) = -g**3 - 4*g**2 + 5. Suppose -5*q = 2*f - 12, -3*q - 32 = 4*f - 7*q. Let v = 32 + -21. What is the lowest common multiple of v and l(f)? 55 Suppose 3*s - 22 - 20 = -3*c, -2*s + 55 = 5*c. Calculate the lowest common multiple of c and 30. 90 Let h be (-14)/(-3) - (-8)/(-12). Suppose h*n = 15 + 13. What is the lowest common multiple of 76/18 + (-8)/36 and n? 28 Let n = 47849/8 + -5973. Find the common denominator of -53/5 and n. 40 Suppose 8*x = 3*x + 10. Let f(y) = y + 1. Calculate the least common multiple of x and f(5). 6 Suppose -4*w + 2*h - 4*h = -48, -2*h = -4*w + 32. Let m = -23 - -25. Calculate the least common multiple of w and m. 10 Let u(j) = j**3 + 4*j**2 - 4*j - 10. What is the lowest common multiple of u(-4) and 18? 18 Let u be 2/6 - 136/300. Let s = u - 201/200. Find the common denominator of s and 47/4. 8 Calculate the common denominator of -67/2 and 0 + 22*20/(-64). 8 Let w(u) = 2*u**3 - 3*u**2 + u. What is the lowest common multiple of 24 and w(3)? 120 Let k = 394807/20 - 19736. Calculate the common denominator of k and -5/14. 140 Find the common denominator of (-139)/(-2)*-6*4/(-144) and -149/18. 36 Suppose 4*h + 4 = -4. Let g be 1/(-2 - -4)*-58. Find the common denominator of g/(-3)*h/(-12) and 89/8. 72 Let x = -3 + 20. Let v = -14 + x. What is the smallest common multiple of v and 5? 15 Let p = 4/2161 - 201061/47542. Calculate the common denominator of p and -1 - (869/(-48))/(-11). 528 Suppose l = 4*l. Suppose -4*n + l = -8. Suppose -n*z + 3*z = 3. What is the smallest common multiple of z and 7? 21 Suppose 4*v - 130 = 2. What is the smallest common multiple of 24 and v? 264 Let z = -7 + 13. Let a(s) = s**3 + 2*s**2 + 1. Let k be (-2)/4*(1 - -3). What is the least common multiple of a(k) and z? 6 Suppose 2*c - 18 + 6 = 0. Let j(w) = w**2 + 3. Calculate the least common multiple of c and j(-3). 12 Let v = -3895 - -38887/10. Calculate the common denominator of 117/10 and v. 10 Let t = -61 + 109. What is the least common multiple of 4 and t? 48 Suppose -5*q - 13 = -53. Calculate the smallest common multiple of 22 and q. 88 Suppose -f + 3*f - 32 = 0. What is the smallest common multiple of f and 7? 112 Let d = -12 - -23. Suppose -2*b + a + 17 = 0, 2*a - 2 + 12 = 0. Calculate the least common multiple of d and b. 66 Find the common denominator of (-12)/(-42) + (-906)/(-112) and -3/10. 40 Let i be (-2)/(-6) + 24/9. Suppose -10 - 23 = -i*a. Calculate the smallest common multiple of a and 1. 11 Suppose 0*v - a = -4*v + 89, 0 = -3*v + 2*a + 63. Calculate the smallest common multiple of 10 and v. 230 Let v = 3416/9 - 380. Let j = -39869/8 + 4974. Find the common denominator of v and j. 72 Let l(x) = x**2 - 12*x + 4. Let v be l(12). Calculate the common denom
{ "pile_set_name": "DM Mathematics" }
= 30791 + -30790.9. Which is greater: t or -94.5? t Let h = 41 - 37. Let q be (-17)/34 + (-214)/h. Let l be ((-2)/8 + 1)*12/q. Are 1 and l equal? False Let u(r) = r**3 - 7*r**2 - 2*r - 1. Let d be u(6). Let h = d + 49. Suppose h = -2*s + 8*s. Is s less than -1/25? False Let f(k) be the second derivative of 17*k**3/6 - 85*k**2/2 - 98*k. Let d be f(5). Are 1/8 and d unequal? True Let k be (-1)/(-3)*(14 - 17). Let o be (144/136 + -1)/(k/8). Does o = 1? False Let o = -1823.3 + 1840.9. Let k = -2/191 + 392/955. Which is smaller: k or o? k Suppose -6 = k - 3*q + 2, -5*q - 8 = k. Let f be (k/(-6) + 0)/((-3)/216). Let j be (-3 - f/33)*-5. Is -1 != j? True Suppose 4*j - 2*a - 22 = 0, -10*j + 2*a = -11*j - 2. Suppose -12 = j*o, -5*m - 31 = -4*m + 3*o. Which is bigger: -20 or m? -20 Let h = -16100 + 16622. Are h and 522 nonequal? False Let d(a) be the third derivative of 59*a**5/60 - a**4/8 - 2*a**3/3 + 12*a**2. Let l be d(-1). Let h = l + -53. Is h less than -4? False Let y be -5*(-24)/(-2799)*6/15. Is 1 at least y? True Let g(y) = -33*y + 34. Let j be g(6). Let t = -2505 - -2341. Is t greater than or equal to j? True Suppose -338 = 1394*l - 1407*l. Is l < 16? False Let s = 69 + -69.33. Let o = 2353 + -2352.7. Let a = s + o. Is a > 0.01? False Let h = -0.9683 + 0.7283. Which is smaller: 1 or h? h Let t = -19.66 - -22.4. Let d = 3.2 - t. Let w = d - 1.76. Which is smaller: w or -1/6? w Let g(w) = -w**3 + 85*w**2 + 545*w + 74. Let o be g(91). Which is bigger: o or -720/43? -720/43 Let v = 574 + -387. Let k = v - 119. Let w = k - 69. Is w <= -2? False Let i(q) = q**3 + 13*q**2 - 158*q - 837. Let z be i(-19). Which is bigger: z or 1/31853? 1/31853 Let c = -432613/26 - -16639. Suppose -2*x - 3*y = 6, 3*y + 32 - 8 = -5*x. Let i be (4/(-6))/(4/x). Which is smaller: c or i? c Let u be (64/(-20))/(28/210). Suppose -q - 50 = q. Let n = u - q. Is -0.22 at most n? True Let w = 301 + -415. Which is smaller: -19 or w? w Let h(f) = -2 + f**2 + 37*f + 45*f - 123*f + 43*f. Let x be h(3). Which is bigger: x or 68/5? 68/5 Let m = -999 - -1663. Let k = 732.8 - m. Let n = -68 + k. Which is bigger: n or -1/3? n Suppose -2*q + 93 - 25 = 0. Let b be 45770/1380 - (1/(-3) + (0 - 0)). Which is smaller: b or q? b Suppose 13 = -2*s + 7. Let j = -0.85 + -0.28. Let z = j + 1.26. Does z = s? False Let j(o) = -o**3 - 8*o**2 - 8*o - 2. Let x be j(-7). Let t = 9 - x. Let m be (6/(-92))/(2/(t/6)). Which is greater: m or 0? 0 Let m be (22 - 3) + -1 + -3. Suppose 3*b - 183 = m. Let j be 144/b*2/8. Which is bigger: j or 2? 2 Let s(x) be the third derivative of -x**5/60 - x**4/4 + 80*x**3/3 + 78*x**2. Let q be s(-16). Is q != -19/13? True Let t(s) = -s**3 + 8*s**2 + 2*s - 11. Let g be t(8). Suppose 0*w - 2*n = 2*w - 70, -g*w + 166 = 2*n. Let v be 3 + (-2 + -6 - -36). Which is smaller: v or w? v Let m be 63387/2*(12 - (-520)/(-39))/(-6). Which is smaller: 21128/3 or m? 21128/3 Let d = 1878 - 5635/3. Which is greater: d or 2/1065? 2/1065 Suppose 10*v - 39 + 5 = 6. Let c(o) = -o - 2. Let t be c(-6). Is v bigger than t? False Let u(k) = 543*k + 32569. Let v be u(-60). Let p(b) = b**2 - 11*b - 1. Let i be p(9). Which is smaller: i or v? i Let p = -18022 + 15655. Which is smaller: p or -2372? -2372 Suppose -2*d - 5*p = -0*d + 11, 28 = -4*d - 4*p. Let l be 15/(-21)*(-812)/290. Which is smaller: l or d? d Let i = -351 - -13. Let h = -393 - i. Is -59 less than h? True Suppose 2*h + 2*w + 656 = 0, -5*h - w = -7*h - 668. Which is smaller: -326 or h? h Let f = 777 + -776. Let u be 7/f - (-220)/(-180). Are 5 and u equal? False Suppose 0*g + g + 13 = 3*t, 3*t - 4*g = 25. Let i = 61 - 57. Suppose -t*x = -i*x - x. Which is bigger: -2/9 or x? x Let a be 25236/(-90)*(5/2 - 0). Which is smaller: a or -697? a Let y = -31695 - -22566839/712. Let f be 0 - 0 - (-3)/(-3). Which is greater: y or f? y Let g be 6034/(-1155) - (-128)/960. Suppose 1 = -3*s - 11. Which is greater: s or g? s Suppose 0 = -5*g - 71 + 76. Let w = -349840/293 + 1194. Which is greater: g or w? g Let t be (-137462)/468*(-12)/(-15). Let c = -1888/9 - t. Is c greater than 0.1? True Suppose -366073 + 5991 = -79*k. Is k >= 4557? True Let b be (-51)/(255/20) - (-2 + 7). Is -232/25 at most as big as b? True Let c(f) = f**3 - 73*f**2 + 273*f + 203. Let d be c(69). Suppose 7*h - 2*h - 5 = 0. Suppose z - h + 3 = 0. Which is smaller: d or z? d Let p = 18399 - 18012633/979. Which is smaller: p or -1? -1 Suppose 4*k + 16001 = 3*u, -2*k = -4*u - u + 7997. Let d = 732181/183 + k. Are 0 and d nonequal? True Suppose -5*c - 130 = -275. Let y = 1951/30 + -215/6. Is y > c? True Let v = 35.9753 + -0.0753. Let m = 35.8 - v. Is -14/5 at least as big as m? False Let i be 12 + (-4298)/127 + 22. Is i <= -1? False Suppose -3*c - 4*k + 12 - 305 = 0, -2*c + 5*k - 180 = 0. Suppose 267*l - 241*l = -2522. Which is smaller: l or c? l Suppose 17*n = 30*n - 11*n. Is -7/123 greater than n? False Let m be ((-12)/4)/((-808)/792916). Suppose 96*l + 8832 = 99*l. Let a = m - l. Which is bigger: 0 or a? 0 Let l(r) = -r**3 + 9*r**2 + 10*r - 89. Let c be l(9). Let m be 62/(-120) + (-2)/(-8). Is c less than m? False Suppose -5*o - 3*q - 1305 = 0, 0 = 3*q - 9 - 6. Is o != 2? True Suppose 26*g + 5*g - 155 = -62. Is 39/20 at most g? True Suppose -r = -0*r. Let p = -2927 + 108290/37. Let x = p - -100/259. Is x >= r? True Let o = -1 - -1.1. Let p = -233903/8610 - 1/4305. Let w = 1739/66 + p. Does w = o? False Let p = 4613 - 4613. Does 2/285 = p? False Let d be (20/(-40))/(129/21). Suppose -27 = -9*l - 36. Which is smaller: d or l? l Let x be 64/(-48)*6/(-4). Suppose x*z + 2*p + 6 = -3*p, -4*z - 42 = -5*p. Suppose 0 = 5*f - 20, -2*l + 4*f = 23 + 7. Which is smaller: l or z? z Let q = -21 + 74. Suppose 0 = -q*n + 51*n + 2. Is -1/199 at least n? False Let t = 1/1167 - -3499/2334. Let q = 46 - 38. Is t <= q? True Let n = -2692 + 13254/5. Is -42 != n? True Let u = 0.053459 + -318.053459. Let f be 18/12*(-4)/6. Which is smaller: f or u? u Let v = 0.06789 - -0.02181. Is 1 at most as big as v? False Let o = 1550 + -137944/89. Is 0 at least o? False Let l = -38449/3 + 12722. Is l at most -94? True Let q = -76556 - -51522200/673. Do q and 1 have different values? True Let m(h) = 15*h - 62. Suppose 11*j - 18 = 4. Suppose -3*c = j*u - 31, -c + 11 = 2*u - 2. Let y be m(c). Is y > 73? False Let n be (-544)/1592*5/2. Is n at least -2? True Let u(k) = 2*k**2 - 115*k - 559. Let r be u(62). Which is smaller: r or 3/295? r Let q(c) = -16 - 9*c - 2*c + 8*c + 0*c. Let f be q(5). Which is greater: f or -29? -29 Suppose 4*j + 2 = 2*t, -2*t + 23 = 3*t - 4*j. Suppose 0*b = t*b - 21. Suppose b*a = -7 + 4. Which is smaller: a or -8/17? a Let t = -27.66 - -0.66. Suppose -514 = -2*v - 4*i + 26, -5*v - 2*i + 1390 = 0. Let g be (-12)/(-16) - v/288. Which is bigger: t or g? g Let t = 1119 - 1118. Which is smaller: -15/229 or t? -15/229 Suppose 38*q = 10769 + 4317. Suppose 1008 - q = -13*o. Which is bigger: o or -45? -45 Let u be ((-17)/24)/(-1) - (-1182)/(-3546). Suppose -3*v - 6 = 2*r, 4*r + v = 5*v + 8. Let i = -1 + r. Which is greater: u or i? u Let i = 9680.6 - 9680. Which is smaller: i or 443? i Let p = -113 - -113.17. Suppose 10*f - 5*f + 15 = 0. Let j be 1/f*12/2. Is j != p? True Let s = 3117 + -638986/205. Which is smaller: -1 or s? -1 Let q = -765 - -735. Let l be (-1)/(((-81)/12)/((-9)/q)). Is l smaller than -1? False Let n(p) = -22 + 3*p**3 + 16 - p**3 + p + 2*p**2 - p**3. Let q be (-2)/9 - (-10)/45. Let k be n(q). Is k less than or equal to -4? True Let x = 57.41 - 59. Let s = x + 1.89. Which is bigger: 2.4 or s? 2.4 Let i(f) = f**3 + 6*f**2 + 18. Let w(n) = -n**3 - 5*n**2 - 17. Let a(d) = 2*i(d) + 3*w(d). Let j be a(-4). Is 4/85 less than j? True Let v(c) = 110 - 259 + 37*c + 106. Let l be v(8). Is l >= 255? False Suppose -4*u = -3*t - 53, 4*u = t + 12 + 11. Is t not equal to 69? True Let v(n) = n**3 + 10*n**2 + 22*n - 7. Let y be v(-6). Let c be (-5)/y + -3 - 1*-4. Let b be 1/(-3)*(-44)/(-6). Are c and b nonequal? True Let z = -4829525 + 811352995/168. Let d = z - -345/8. Let r = d + 113/231. Is 2 greater than or equal to r? True Let r(d) = -d**2 - 95*d - 662. Let v be r(-8). Suppose -3*s + 185 = 2*s. Which is greater: s or v? s Let n = 222 - 320. Suppose 191*p + 3618 + 14103 = 12*p. Which is smaller: p or
{ "pile_set_name": "DM Mathematics" }
at is the third biggest value in -3, -15.286, -153? -153 What is the smallest value in 0.05, -1/10, 0.4, 2/9, 69, 23? -1/10 Which is the third biggest value? (a) -4 (b) 20 (c) -21.3668 (d) 0 a Which is the second smallest value? (a) 0.5 (b) 362 (c) -3/16 (d) -2/51 (e) -0.2 (f) -3/2 (g) -2/15 e Which is the second biggest value? (a) -0.584 (b) 1 (c) -0.012 c Which is the biggest value? (a) -8/5 (b) 1 (c) -1 (d) 0.6 (e) 0.3 (f) -11 (g) 22 g Which is the smallest value? (a) -0.04587 (b) -6527 (c) -7 b Which is the biggest value? (a) 1052620/17 (b) 6/11 (c) 1/4 a What is the fourth smallest value in 24, -0.5, 3/8, 2/321, -1/7, 0.01? 0.01 What is the third smallest value in 9, -129951, 1, 0, 0.5? 0.5 What is the third biggest value in 30, 0, 1022838? 0 What is the smallest value in 4, -0.5, 564259? -0.5 Which is the third smallest value? (a) -56288 (b) 0.1 (c) -1 (d) 23 b What is the third biggest value in -180, -7, -0.2, -126? -126 What is the biggest value in -0.14, 89.1, 1/2, -0.4, -0.06, 0? 89.1 Which is the fourth smallest value? (a) 1/4 (b) -5 (c) -1/2 (d) -17 (e) 7933 (f) -4 c What is the fourth biggest value in 1/14, 107.6367, 3, -1? -1 What is the sixth biggest value in 8, 11/18, -0.03, 2, 1, -0.05? -0.05 Which is the sixth smallest value? (a) 1/3 (b) 0.24861 (c) -1/8 (d) -2 (e) -113 (f) -5/3 a Which is the second biggest value? (a) -0.9 (b) -5 (c) 1 (d) -3 (e) 1/2 (f) 855 c What is the sixth biggest value in 170142, -1/9, -2, 5, 3, -4, 2/5? -2 Which is the third smallest value? (a) -37 (b) 2/57953 (c) -0.49 b What is the smallest value in -4, 2/7, 4522, 12, -1.3? -4 Which is the second biggest value? (a) -1241 (b) -5 (c) -2 (d) 1/3 (e) 10 (f) 1 f Which is the second biggest value? (a) 4 (b) -1/7 (c) -0.01 (d) 2/5 (e) 5/2 (f) -10 e What is the second biggest value in 1318/409, -7.1, 3? 3 What is the second smallest value in -4/3, -3/10, 4/969, 2, -29? -4/3 Which is the third biggest value? (a) 0.3 (b) -54 (c) -56 (d) 115 b Which is the fifth smallest value? (a) -4/9 (b) -0.4 (c) 5 (d) 8/669 (e) 0 c Which is the fourth biggest value? (a) 2 (b) 560 (c) -5 (d) 5/14 (e) -0.4 e What is the smallest value in 0.06, -1.5, 5376? -1.5 Which is the third biggest value? (a) -0.042469 (b) 26 (c) -5 c Which is the third smallest value? (a) 2782.6 (b) 3/5 (c) -7/177 a Which is the biggest value? (a) 143597.9 (b) -2.7 (c) -5 (d) 0.1 a What is the second biggest value in 0.02, -1, -1/2, -6798? -1/2 What is the fourth biggest value in -6/415, 0, 5134, 0.3? -6/415 What is the fourth smallest value in -10, -10/2433, 1/4, -1? 1/4 Which is the sixth smallest value? (a) 1/4 (b) -186/7 (c) 4 (d) 0.3 (e) 1 (f) -2109 c Which is the second biggest value? (a) -3 (b) 0.071 (c) 7 (d) -92 (e) 0.5 e Which is the third smallest value? (a) 0.3 (b) -3082 (c) 6157/7 c What is the fourth smallest value in 4, -0.1, 3, -3, -7, -2/215? -2/215 What is the third smallest value in -1004, 1, -8, 72, -1/3? -1/3 What is the biggest value in -19/1584, 31, 4/5? 31 What is the third smallest value in -227, -2/573, 20/13? 20/13 What is the biggest value in -6, -3, 115/4, 0.2, -4315? 115/4 What is the second smallest value in -0.5, -0.3, -1/112181? -0.3 What is the smallest value in -1.28, 13669.2, -0.1, -3/5? -1.28 What is the third biggest value in 37783, -0.39, 1, 6/5, -0.1, -4, -2/13? 1 Which is the second smallest value? (a) 1110 (b) 1196 (c) -2 (d) 5/6 (e) -0.4 e What is the third biggest value in -103, 0, -19.52, -7, -2/3? -7 Which is the sixth biggest value? (a) 4 (b) 0.5 (c) -4/63 (d) -63 (e) -13.2 (f) 3 d Which is the fourth smallest value? (a) -2/5 (b) 0.02 (c) -1/3 (d) 67 (e) -1/5 (f) -0.1 (g) 5 f What is the second smallest value in -174654, -1, 2/3, 60? -1 Which is the second smallest value? (a) 3 (b) 2 (c) -2 (d) 3/5 (e) -5 (f) 4 (g) -821 e Which is the biggest value? (a) -56056 (b) -4 (c) 12 (d) -0.3 (e) -3/7 c What is the second smallest value in -0.03, -205, -247, 0.3? -205 Which is the third smallest value? (a) -4 (b) 3/50 (c) -0.003874 b Which is the third smallest value? (a) 5.88 (b) 1/4 (c) 1 (d) -1 (e) 0.28 (f) 73 (g) 3/4 e What is the fourth smallest value in 2/3, -6, -1592, 11, -12, 2? 2/3 What is the fourth smallest value in -6, -1051/10, 2/11, 0.7, 0, 1? 2/11 What is the fifth biggest value in 5, 3/8, -10, -5, 272272? -10 Which is the third biggest value? (a) -2/3 (b) 2/3 (c) -19 (d) 0.5 (e) -5/68 (f) 1 d What is the biggest value in 2, 0.16, 76172, 0.06? 76172 What is the fourth smallest value in -2/2781, 163, 6, 0, 2, -1? 2 What is the fourth biggest value in 0.12, 0, -0.5, -27.1, 14? -0.5 Which is the third smallest value? (a) -207 (b) 13 (c) -3/880 b Which is the third smallest value? (a) -2 (b) 146985 (c) -2/7 (d) -9.3 c What is the sixth smallest value in 5, -0.3, 3, -0.07, -0.0427529, 3/7? 5 Which is the second biggest value? (a) -1/5 (b) -51 (c) -5 (d) 2 (e) 1 (f) -2/189 e What is the third smallest value in -37, 328, 7/4, 5, 1/4? 7/4 What is the sixth biggest value in 3, -0.3, 5/2, 0.4, 2987, -2/135, -3? -0.3 What is the third biggest value in 14, 100, -764, 0.2, -0.4? 0.2 What is the biggest value in 2, 13, 0.08621, -184, -5, 3? 13 Which is the third smallest value? (a) 0 (b) -30 (c) -3/4 (d) -6 (e) -4 (f) 0.3 (g) 88/23 e Which is the third biggest value? (a) -44.4 (b) 1/3 (c) -3 (d) -525/46 d Which is the second biggest value? (a) -3/7 (b) -26 (c) 2/618515 (d) 1 c What is the third biggest value in 25, -110.0168, -2/19, -2? -2 Which is the biggest value? (a) 2 (b) -375 (c) -138 (d) -5 a What is the biggest value in -0.008, 3, -0.2, -48319, -3, -2, -5? 3 What is the smallest value in 3, -2/759519, -0.018? -0.018 Which is the second biggest value? (a) 0.2 (b) -19.5 (c) -2/3 (d) 5 (e) -0.16 (f) -55 a What is the second biggest value in 4, 475, 2534? 475 What is the fifth smallest value in 7, 0.1, 4.2, 9.3, -0.5, 28? 9.3 What is the fifth biggest value in 3942/35, 4, -1/3, -8, -1? -8 Which is the sixth smallest value? (a) -6 (b) -1.02 (c) 3.9 (d) 3 (e) 5 (f) -3 (g) -0.08 c Which is the biggest value? (a) -38/273 (b) -0.0678 (c) 0.6 c What is the third biggest value in 1.2, 0, 1, -7, -0.08, -2/157? 0 Which is the fourth smallest value? (a) -2/71 (b) 0 (c) 0.61 (d) -0.1 (e) -25 b Which is the sixth smallest value? (a) -6/11 (b) -2 (c) 0 (d) -1/2 (e) -1 (f) 878 f What is the smallest value in 9, -0.4, -2, 0, 5518, 3/7? -2 Which is the third biggest value? (a) -0.4 (b) 11/2283 (c) 11 a Which is the biggest value? (a) -5916030 (b) 0 (c) -0.9 b What is the second biggest value in 0.32, -2/11, -9, -6/19? -2/11 What is the second smallest value in 0.4, -11/8, 1, 0.23919, 9? 0.23919 What is the fourth biggest value in -0.3, 180/3641, 0, -8? -8 What is the smallest value in -49, -0.4, 4, 3, -1/96? -49 What is the biggest value in 741, -0.6, 5, 393, 2? 741 Which is the fifth biggest value? (a) 1/2 (b) -2.6 (c) -44 (d) -32 (e) 0.4 (f) -5 (g) 11 f What is the third biggest value in -5, -3, -1, 208, -2, -4, -4/29? -1 What is the second smallest value in -5, -2, -2/5, 57.8, 0.1, 1/4, 0? -2 Which is the second smallest value? (a) -2 (b) 4 (c) -934 (d) -4 (e) 0.26 (f) 7 d Which is the fourth biggest value? (a) 4/5 (b) 7040589 (c) -5 (d) 2 c What is the second biggest value in 12/53, -2, -40, 48, -5, -0.3, -1? 12/53 Which is the fourth biggest value? (a) -5/2 (b) 123 (c) -0.5 (d) 6 (e) -0.3 (f) -1/335 e What is the third smallest value in -0.14, 3/2, -19, 1368/85? 3/2 Which is the seventh smallest value? (a) -30 (b) 0 (c) -21 (d) -11 (e) -2 (f) -1 (g) 3 g Which is the third smallest value? (a) -49 (b) 1 (c) -47.7803 b Which is the fifth smallest value? (a) 0.3 (b) 3 (c) -0.4 (d) 11/2 (e) -0.5 (f) 12/163 b What is the biggest value in -71/2, -7/5, -1/3, -0.1, 2/11, -2? 2/11 Which is the sixth smallest value? (a) -0.5 (b) -0.2 (c) 18 (d) 0.091 (e) 1/11 (f) 5 (g) -45.1 f Which is the fourth smallest value? (a) 38 (b) -2/3 (c) -2/9 (d) 2/770771 a Which is the second smallest value? (a) 0.01 (b) -0.1 (c) -594152
{ "pile_set_name": "DM Mathematics" }
tive of o**8/840 + o**4/8 + 7*o**3/6 - 5*o**2. Let h(z) be the first derivative of v(z). Differentiate h(i) with respect to i. 8*i**3 Let f be -1 + 4 + (-3 - -4). Suppose 4*t - 18 = -t - 2*q, 3*t = -4*q + 22. What is the third derivative of 0*o**4 - t*o**2 - 6*o**4 + 4*o**f + 4*o**4 wrt o? 48*o Let l = 25 - 21. Find the first derivative of -1 + 7*z**l + 5 - 4*z**4 - 8 wrt z. 12*z**3 Let q(t) be the third derivative of -t**6/15 + 11*t**5/20 + 4*t**2. What is the third derivative of q(k) wrt k? -48 Let j(b) be the third derivative of -b**4/24 - 13*b**3/6 + 51*b**2. Differentiate j(s) wrt s. -1 What is the third derivative of -5*a**2 + a**4 - 3*a**4 + 0*a**4 + a**4 wrt a? -24*a Let o(x) = -4 + 7*x + 3 + 7. Let p(v) = -v - 1. Let k(q) = -o(q) - 5*p(q). Find the first derivative of k(g) wrt g. -2 Suppose -5*v + v = -4. Suppose 1 + v = l. Find the second derivative of -3 - j + 3 - j**l wrt j. -2 Let d be (-6)/(12/4) + 7. Let v(t) = -4*t - 1. Let o be v(-2). Find the second derivative of -3*l + o*l - l + 0*l**d - 2*l**5 wrt l. -40*l**3 Suppose -2*i + 0*i + 4 = -2*t, 8 = 2*i. Let l be 2/(-10) - 11/(-5). What is the derivative of t*m**2 + l + 4*m - 2*m - 2*m wrt m? 4*m Let d be (-10)/(-5) + (1 - 1). What is the second derivative of -s**2 + 3*s**3 + 4*s - 3*s**d + 4*s**2 wrt s? 18*s Let y(h) be the first derivative of 4 + 0*h**4 + 0*h**2 + 2*h**3 + 0*h**5 + 3/7*h**7 + 0*h**6 + 0*h. What is the third derivative of y(d) wrt d? 360*d**3 What is the second derivative of i - 4*i**4 + 8*i**4 - 18*i wrt i? 48*i**2 Let w(x) = 15*x**3 + 3*x**2 - 17. Let c = 22 - 16. Let u(b) = 5*b**3 + b**2 - 6. Let z(i) = c*w(i) - 17*u(i). Find the third derivative of z(f) wrt f. 30 Let f(x) = -5*x. Let t(b) = -b**3 - 5*b. Suppose c - m + 5 + 3 = 0, -13 = 2*c - m. Let v(u) = c*f(u) + 4*t(u). What is the second derivative of v(h) wrt h? -24*h Let x(c) = -15*c**4 - c**3 + c**2 - 35*c - 1. Let w(i) = -i**3 + i**2 + i - 1. Let h(u) = -w(u) + x(u). Find the second derivative of h(t) wrt t. -180*t**2 Find the first derivative of -2 - 1 - 2*j**3 + 11*j**3 + 0*j**3 wrt j. 27*j**2 What is the derivative of -10*v**2 + 10*v**2 - 1 + 6*v**4 wrt v? 24*v**3 Let x(o) = 4*o**4 - 5*o**3 - 5*o**2 - 5*o - 8. Let k(b) = -3*b**4 + 6*b**3 + 6*b**2 + 6*b + 8. Let z(s) = -5*k(s) - 6*x(s). Differentiate z(r) wrt r. -36*r**3 Suppose 0 + 14 = 5*v - 2*p, 5*p = -10. What is the derivative of 1 + 4*h**2 - 2 + v*h**2 wrt h? 12*h Let i(h) be the first derivative of -2*h**3 - 2*h**2 + 6. Find the second derivative of i(n) wrt n. -12 Let x(h) = -3*h + 1. Suppose -2*s = -0*s + 2. Let j be x(s). What is the second derivative of -z**4 + 7*z - 4*z - 2*z**j wrt z? -36*z**2 Let q(u) be the first derivative of -3 - 1/2*u**2 + 0*u + 0*u**3 + 3/5*u**5 + 0*u**4. Find the second derivative of q(x) wrt x. 36*x**2 Let i = 4 + -8. Let d(o) = o**3 + 5*o**2 + 4*o + 5. Let u be d(i). Find the second derivative of 8*g + u*g**4 - 3*g**4 - 5*g wrt g. 24*g**2 Let q(r) = -r**2 + r - 1. Let s(d) = 5*d**3 - 5*d**2 + 11*d - 5. Let x(c) = -15*q(c) + 3*s(c). What is the second derivative of x(n) wrt n? 90*n Let a(l) be the second derivative of -l**9/3024 - l**6/240 - l**4/2 - 4*l. Let r(i) be the third derivative of a(i). Find the second derivative of r(g) wrt g. -60*g**2 Suppose -y = -u - 5, -y = -4*u + u - 25. Let v = -5 - u. What is the second derivative of -f**v + 2*f - f**5 - 4*f wrt f? -40*f**3 What is the second derivative of -17*u**2 - 13*u - 4*u - 5*u**2 + 8*u wrt u? -44 Let s = -5 - -9. What is the first derivative of 1 + 2 - 7 + s*t**4 wrt t? 16*t**3 Let b(y) = 3*y**3 + 6*y**2 - 17*y + 6. Let x(i) = 4*i**3 + 5*i**2 - 18*i + 5. Let a(j) = -5*b(j) + 6*x(j). Find the second derivative of a(v) wrt v. 54*v Differentiate 25*t**4 + 15*t**4 - 32 + 36 wrt t. 160*t**3 What is the third derivative of 0*k - 785*k**3 + 3*k - 2*k**4 + 11*k**2 + 767*k**3 wrt k? -48*k - 108 Let j(i) be the second derivative of 13*i**5/20 - i**4/4 - 7*i. Find the third derivative of j(w) wrt w. 78 Let t(u) be the third derivative of -u**6/2 - 31*u**3/6 + 34*u**2. Differentiate t(m) wrt m. -180*m**2 Let p(k) be the third derivative of -3*k**2 - 1/2*k**3 + 1/60*k**5 + 0*k + 0*k**4 + 0. Differentiate p(b) with respect to b. 2*b Let s(w) = w - 4. Let f be s(6). Suppose 5*r = f + 8. What is the third derivative of z**r + 2*z**3 - z**2 + 3*z**2 wrt z? 12 Suppose 3*l - 4*l - 5*m = -25, 0 = 3*m + 3. Let y be l/18 + 2/6. Find the third derivative of 15 + o**y - 15 + 2*o**5 wrt o. 120*o**2 Let k = 145 - 141. Suppose 4*y - 3*y = j, 2*j - y - 5 = 0. Find the third derivative of -2*a**2 - k*a**6 - 67*a**5 + 67*a**j wrt a. -480*a**3 Let n(h) = -2*h**3 + 2*h - 2. Let z(x) = -x + 1. Let c(t) = n(t) + 8*z(t). Let a(u) be the first derivative of c(u). Find the first derivative of a(g) wrt g. -12*g Let z(s) be the first derivative of s**3/3 + 7*s - 7. Find the first derivative of z(q) wrt q. 2*q Let t(m) be the first derivative of 18*m**5/5 + 8*m**3/3 + 2. What is the third derivative of t(p) wrt p? 432*p Let w(p) = p**5 + p**4 - p**2 - p - 1. Let l(k) = -11*k**5 - 5*k**4 - k**2 + 5*k + 5. Let z(c) = 2*l(c) + 10*w(c). Find the third derivative of z(j) wrt j. -720*j**2 Differentiate 7 - 6*s**2 - 3 + 0 - 2*s**2 wrt s. -16*s Let d(h) = 6*h**3 - h**2 - 3. Let j(q) = q**3 - q**2 + 1. Let o(b) = -d(b) + j(b). What is the first derivative of o(s) wrt s? -15*s**2 Let s(w) be the first derivative of 1/2*w**6 + 0*w**4 + 0*w + 1/2*w**2 + 0*w**5 + 0*w**3 - 3. What is the second derivative of s(v) wrt v? 60*v**3 Suppose -l - 5*i = -18, 2*i + 3*i - 15 = 0. What is the second derivative of -l*v - 6*v**2 + 3*v**2 - 2*v**2 wrt v? -10 Let b(q) be the second derivative of 0*q**5 - 1/10*q**6 + 0*q**2 + 0 - 1/3*q**3 - 5*q + 0*q**4. Find the second derivative of b(a) wrt a. -36*a**2 Let m(v) be the first derivative of -1 - 1/12*v**4 + 0*v**3 - 3*v + v**2. Let o(t) be the first derivative of m(t). What is the derivative of o(w) wrt w? -2*w Let i(c) = 0 + 2 - 3 - c**2 + 5*c. Let x be i(4). Find the second derivative of x*l - l - l - 2*l**5 wrt l. -40*l**3 Differentiate -5 + 1 + 2 + 2*q**2 wrt q. 4*q Let a(v) be the second derivative of -11*v**5/20 + 19*v**3/3 + 32*v. What is the second derivative of a(p) wrt p? -66*p Let y(h) be the second derivative of -h**8/1120 - h**7/1260 + 3*h**4/4 + 5*h. Let p(m) be the third derivative of y(m). Find the third derivative of p(i) wrt i. -36 Let o(k) = -k**3 + 6*k**2 + 14*k + 5. Let l(j) = 2*j**3 - 12*j**2 - 30*j - 9. Let x(n) = -3*l(n) - 5*o(n). What is the second derivative of x(q) wrt q? -6*q + 12 Let j(x) = 14*x + 27. Let u(y) = -7*y - 13. Let m(w) = 6*j(w) + 13*u(w). What is the derivative of m(i) wrt i? -7 Differentiate 7 + 2*z**4 - 21*z**4 + 4 wrt z. -76*z**3 Find the first derivative of -b + 4*b + 29 - 521*b**2 + 520*b**2 wrt b. -2*b + 3 Find the first derivative of -94*r**4 - 6 + 20 + 49*r**4 + 49*r**4 wrt r. 16*r**3 Suppose 2*o = -2*o. Let s = o + 2. What is the first derivative of 0*w**s - 2 + 3 - w**2 wrt w? -2*w Let i(o) = 41*o**2 + 27. Let q(x) = 82*x**2 + 54. Let a(g) = -9*i(g) + 4*q(g). Differentiate a(j) with respect to j. -82*j What is the first derivative of -2*g**3 + 7 + 2 - 13 wrt g? -6*g**2 Suppose 0 = -3*r - f + 12, 5*r = -4*f + 27. Suppose 2*m + 5*i = -2*m + 22, m + 5*i - 13 = 0. Find the second derivative of -h + 2*h**m - 3*h**r - h wrt h. -6*h Let f(s) = 35*s**3 - 3*s**2 + 18*s + 3. Let a(u) = -34*u**3 + 4*u**2 - 18*u - 4. Let k(o) = -3*a(o) - 4*f(o). Find the second derivative of k(n) wrt n. -228*n Suppose -5*d + 9 = -3*b - 7, -2*d = -3*b - 1. Let y(v) = -v - 1. Let t be y(-3). What is the second derivative of -t*p**d + p + 2 - 2 wrt p? -40*p**3 What is the second derivative of -t + 2*t**3 + 0*t**3 - t**3 - 29 wrt t? 6*t Let x = 9 + -9. What is the third derivative of x*o**3 + 3*o**2 - 4*o**2 - 4*o**6 + 0*o**3 wrt o? -480*o**3 What is the first derivative of -7 + 20*o - 11 + 19 wrt o? 20 Let z be (-5)/((-1 + 0)/1). Find the second derivative of -f + 5*f**z + 5 - 3*f**5 - 5 wrt f. 40*f**3 Let w(s) = -20*s**2 + 18*s + 3. Let b(o) = 39*o**2 - 36*o - 5. Let f(z) = 3*b(z) + 5*w(z). What is the second derivative of f(l) wrt l? 34 What is the first derivative of 6*v**3 + 15*v**3 - 7*v**3 - 8 wrt v? 42*v**2 What is the second derivative of 0
{ "pile_set_name": "DM Mathematics" }
mber? True Let p(u) = -7*u**2 + 2*u + 29. Let c be p(15). Let b = 2739 + c. Is b prime? True Let v = -28303 - -43244. Is v a prime number? False Let r(w) = 366*w**2 + 503*w - 100. Is r(-27) a composite number? False Let m = -210 - -201. Is 769/(-8)*(m - -1) composite? False Let h(r) = -27*r**3 + 3 - 7 + 4*r**2 - 14*r**3 + 6. Let j(c) = 124*c**3 - 11*c**2 - 5. Let k(l) = -11*h(l) - 4*j(l). Is k(-2) prime? False Suppose 2*g - w = 84, -w + 3*w - 140 = -3*g. Let b be 8/g - 4/22. Suppose 16168 = 4*m + 4*t, 3*m + 5*t - 12120 = -b*m. Is m a prime number? False Suppose 0 = -14*d + 12*d + 8568. Let z = d - 793. Is z composite? False Let v = 98509 + -21930. Is v composite? False Let m = 9 + -3. Suppose -4*z = -2*c + 8512, 2*z + m = 4*z. Suppose -5*g + c = 667. Is g a prime number? True Suppose 0*h - 5*h = -3*y - 125971, 0 = -4*h + 20. Is (-2*1)/(0 - (-12)/y) composite? False Is (-4 + 950896/(-40))*4/(32/(-20)) composite? False Let s = -4104 + 7103. Is s a prime number? True Let u = 4 + -14. Let a be u/(-35) + (-4708)/14. Let s = 1817 - a. Is s a composite number? False Let z(t) = -6*t + 227. Let r be z(37). Is (20/(-5) + 3)*r - -454 prime? True Let v be 111*(-8 + 40/(-3)). Let z = 5642 + v. Is z a prime number? False Let k be (-8)/(-12)*3/2. Let a = k - -2. Suppose 0*s + s + 5*g = 1419, 0 = -5*s + a*g + 6983. Is s prime? True Let r(j) = -166*j**3 - 407*j**3 + 3 + 223*j**3 + j. Let z be r(-3). Suppose x - b = -2*x + 5668, 5*x - z = b. Is x a composite number? True Suppose -3*r + 4*j = 12 - 30, r - 4*j = 14. Let c(s) = 60*s**2 + 13 + 18 + 23*s - 58*s**r. Is c(-24) a prime number? True Let y(v) = 10951*v - 701. Is y(10) a prime number? False Suppose 0 = -7*u + 18 + 17. Is u/((-2)/(-428)*2) composite? True Suppose p = -5*s + 20, 3*p - 5*s = 6*p - 20. Suppose p = -2*w + 7 - 3. Suppose w*a = 5*n - 1117, -5*n - a = 4*a - 1110. Is n prime? True Let t = -1871 + 1642. Let d(b) = 133*b + 4. Let l be d(4). Let m = t + l. Is m a composite number? False Let o = -749 + 1895. Let c = 1427 + o. Suppose -9*q + c = -1198. Is q composite? False Suppose -3*s - 14 = -5*n + 4, -2*s - 2 = 0. Suppose -d + n*d = 656. Suppose -1222 = -10*m + d. Is m a composite number? True Let y(f) = -86*f**2 - 39*f + 68. Let h be y(-38). Is (h/(-12) + -4)/((-2)/(-4)) a composite number? False Let v(o) = 30*o**2 + 18*o**2 - 8*o - 18 - 44*o**2 + 11*o**2. Suppose -a + 13 = -3*d, -2*d - a - 9 = -2*a. Is v(d) prime? False Suppose -2*g + 18988 = 3*b - 31863, 2*g - 3*b - 50857 = 0. Let p = -15754 + g. Is p prime? False Let a be (-101372)/(-13) - (4 + (-108)/26). Let u = 14538 - a. Suppose 0 = 4*y - q - u, -2*y + 6740 = 2*y + 4*q. Is y a prime number? False Suppose -3*l = -31497 - 6722 - 121678. Is l prime? True Suppose 0 = 4*r - 54 - 2. Let a(j) = 180*j - 41. Is a(r) a composite number? True Let b(c) = 1387*c + 3831. Is b(38) prime? False Let n be (-9)/21 + 96/28. Let z be (-534481)/177 - ((-4)/n)/2. Let c = z - -5454. Is c a prime number? False Suppose 13230 = 323*j - 317*j. Suppose 293 = f - 5*m - j, 2504 = f + m. Is f a prime number? True Suppose 43*w = 22*w + 2794113. Is w a prime number? False Suppose -22*z + 166693 = -236391. Suppose -40*y - 3482 = -z. Is y prime? False Let g = -77 + 110. Suppose -14*y - 394649 = -g*y. Is y prime? True Suppose 36 = i - 36. Let t = 75 - i. Suppose -g + 5 = 0, p + t*g - 26 = 146. Is p prime? True Let k = 68557 - -281040. Is k a composite number? True Suppose 17*w - 5*w - 36 = 0. Suppose 4*y - 78180 = -4*r, w*y + 5*r = 4*r + 58627. Is y a prime number? True Suppose 0 = 5*p + h - 9 - 1, 0 = 5*p - 4*h - 10. Suppose p*z = -c + 793, 3*c - 2*z = 2*z + 2349. Is c a composite number? False Let c(k) = 4770*k**2 + 171*k + 977. Is c(-6) prime? True Let b be (-6)/(-14) + 170/(-70). Let x be b/(4 + (-11)/3). Is (-12318)/(-48) - x/16 a prime number? True Let h be 1/12 + 247070/120. Let t = 3500 - h. Is t composite? True Suppose -16202 = -4*t + 3*n, 44*n - 46*n - 4 = 0. Is t prime? True Let x = 969964 - 249207. Is x a composite number? True Let k be (-4)/(-2)*(-7)/(-2). Let y(i) be the third derivative of i**6/30 + 11*i**5/60 - i**4/4 - 3*i**3 - i**2 - 1591*i. Is y(k) a prime number? False Let c be (-1 + 3)/(-2) + 1/(-1). Is 10379/5 + c - (-4)/(-5) a composite number? True Let t be (2 + 6/(-9))/(112/420). Suppose t*a + 3*v = 43327, 7*a = 3*a + 4*v + 34636. Is a a composite number? False Suppose 29*j + 380954 = -6*j + 13470429. Is j a prime number? False Let i = 498 + -495. Suppose 0*r = i*t - 3*r - 6705, r = 2. Is t a prime number? True Let l(r) be the first derivative of r**4/4 - 8*r**3/3 - 15*r**2/2 + 25*r + 2. Let j = 457 + -446. Is l(j) a composite number? False Suppose -18 = -5*u + 7. Let r(b) = 4459*b**3 + 8*b - 7. Let a be r(1). Suppose -2*v = 4*d + v - 3547, a = 5*d - u*v. Is d composite? True Is (-131 - -117) + 1 + 29730 a prime number? True Let o = -4814 + 17037. Is o a composite number? True Suppose 5*g - 81 + 6 = 0. Let t(k) = k**3 - 4*k**2 - 3*k + 18. Let a be t(g). Suppose -5*l = 20, -2*i + l + a = 2*i. Is i composite? True Let v(i) = 7*i**3 + 26*i**2 - 79*i + 1413. Is v(28) a composite number? False Let k(r) = -3*r + 11*r**2 + r + 7 + 0*r - r**2. Suppose 18 = -3*q - 0*q. Is k(q) a composite number? False Suppose 65*u - 1148542 = 1576566 + 4587847. Is u a prime number? True Let z = 142862 - 36587. Is 2 + z/169 + (-2)/(-13) prime? True Let z(t) = 3*t**2 - 122*t - 1619. Is z(100) a composite number? True Let n be 15/(-1 - 2)*188/(-20). Let k be (5625/27)/5*n*3. Suppose -j = -3*x + 3729, 0 = -4*x - 2*j - 903 + k. Is x composite? True Suppose -8*w = 67184 - 282648. Is w a composite number? True Suppose u = r - 40462 - 156978, -4*u = 4*r - 789768. Is r a prime number? True Let o(u) = -2*u**2 - 14*u + 2. Let p be o(-7). Let l(g) = g**3 + 21 - g + 16*g - 36*g**2 + 64*g**p. Is l(-11) a prime number? True Let m(n) = 2*n**2 + 19*n + 35. Let d be m(-7). Is (-13)/26*(-4102 + d) composite? True Let m = -405306 + 705677. Is m prime? False Is (-1)/((-1425606)/356398 - -4) composite? False Let g be (1 + 5)/((-9)/(-6)). Suppose -3*n + 13046 = 4*r, -2*n + 8938 + 4106 = 4*r. Suppose 0*z - g*z = -r. Is z a prime number? False Suppose -4*k - k = 0, -2*w = 2*k + 1910. Suppose 7*l - 6130 - 4608 + 700 = 0. Let n = l + w. Is n a prime number? True Let l(r) = -8816*r - 183. Is l(-4) prime? True Suppose -4*o = 3*s - 606827, 2*s + 303396 = -0*o + 2*o. Is o composite? False Suppose 5*u - 7151 = 3*v, 4*v + v + 11965 = -u. Let x = 578 + v. Is x/4*(-3 + 1) a composite number? False Let n be 1173/207*(-1602)/(-2). Suppose 4*d + 5*o = -n + 46448, 4*o - 10491 = -d. Is d a prime number? False Suppose z - 65 = -14. Let y be -5119*(1/2)/(14/(-28)). Is (-17)/z - y/(-3)*1 prime? False Let y(q) = 3*q**2 + 71*q + 187. Suppose -6*a + 17 - 293 = 0. Is y(a) composite? True Suppose -1526773 = -4*j - 32*j + 59776871. Is j a prime number? True Let t be (2/(5 - 9))/(1/(-24)). Let f be 2125 - ((-2)/(-3) + t/(-18)). Let a = f - 1224. Is a composite? True Let j = 98 + -91. Suppose j*a - 42 = a. Suppose -a*y - 1828 = -7967. Is y composite? False Suppose 6*x - 2*x + 2*q = 48, 2*q = 0. Let j(s) = 2*s**3 - 7*s**2 - 13*s + 9. Let k be j(8). Suppose -x*m = m - k. Is m a prime number? True Suppose -5004407 = 40*i - 60121327. Is i a prime number? True Let q = 293 - 116. Let n(x) = -q*x + 6 - 6 + 2 + 0. Is n(-5) composite? False Let b(h) = -203576*h + 1659. Is b(-4) a composite number? False Let x = 164 - 151. Suppose 6*h - 5 = x. Suppose -2698 = -h*d + 5*q + 622, -2*d = 2*q - 2240. Is d composite? True Suppose 18*j - 1068151 = -32377. Is j prime? False Let l = 169 + -69. Let q be l/(-8)*3/((-30)/(-8)). Is ((-4)/6)/(q/1905)*1 a prime number? True Suppose 0 = 3*u + 2 - 17. Suppose 0 = 7*b - 5 + u. Is 6/(-9) - (5194/(-6) + b) composite? True Let v(p) = 1472*p**2 + 2*p. Let a be v(1). Suppose 2*i - 749 = -q, 0*q + 4*i + a = 2*q. Is q prime? True Let m be -1 - (-1)/(2 - 3/3). Let q be (1 - 4/(-2))*(1 - m). Suppose 7*t - 243 = -v + 2*t, 0 = 3*v - q*t - 765. Is v prime? False Let c be ((-48)/(-10))/(213/33370). Suppose -18*u + 22*u = -o + 1494, -3*o + c = 2*u. Is u composite? False Let f(a) = 151*a**2 + 14*a - 229. Is f(-48) prime? True Suppose 0 = -158*a + 254*a - 24187515 - 24805797. Is a composite? True Let n(u) = -u**3 +
{ "pile_set_name": "DM Mathematics" }
Is v a prime number? True Let b(h) = h**2 - 4. Let n be b(3). Let v = 94 - n. Is v a composite number? False Suppose 5*c - 1523 = 1542. Is c prime? True Let k(c) = -c + 7. Let a be k(4). Suppose -5*l - 3*p + 818 = 0, 1 + 2 = a*p. Is l composite? False Let y(n) be the first derivative of -8*n**2 + 13*n - 2. Is y(-9) prime? True Suppose 463 + 72 = a. Is a a prime number? False Suppose -2*n = -n. Suppose -d + 163 = -4*u, -4*d + 652 = -n*d - 5*u. Suppose -3 = -s, -2*f + 2*s - 7*s + d = 0. Is f prime? False Suppose v + 0*v = 28. Suppose 2*r - k = 165, 3*r - 5*k = v + 216. Suppose 0 = -2*g + r + 155. Is g prime? False Let o = 65 - 120. Is (o/10)/(1/(-22)) a composite number? True Let u = 14 + -2. Suppose -5*x - 3*h = 1, -3*x - 2*h - 4 = 2*x. Let k = x + u. Is k composite? True Let j be (4/4)/(1/(-69)). Let w = -6 - 14. Let c = w - j. Is c prime? False Let r = 126 - 70. Let i = r + -3. Is i composite? False Suppose -5*k + 0*z + 8595 = -2*z, 3*k = z + 5156. Is k a prime number? False Suppose u + 30 = 4*u. Let b = 8 + -4. Suppose b + u = s. Is s a prime number? False Is 6/10 + ((-1124)/(-10))/1 a prime number? True Let v = 209 + 82. Is v a prime number? False Let z(b) = -15*b - 1. Let s be z(-1). Suppose -d + 99 = -s. Is d a prime number? True Let o be ((-4)/(-2))/(1 - -1). Let s(t) = 2*t**2 + 4*t**2 - t**2 + t. Is s(o) composite? True Suppose -2*g = 0, 5*g + 8 = 4*r - 0*r. Suppose -4*z - 112 = -4*q, 4*q + 4*z = 3*q + 33. Suppose r*m + j = q, 67 = 5*m - 0*j - 3*j. Is m prime? False Let c = -13 + 7. Is (-3)/6 + (-465)/c composite? True Let l be (-2 - -2)/(-2 + -1). Suppose 2*g + 12 - 86 = l. Is g prime? True Let t(m) = -29*m. Suppose 0 = -6*y + y - 25. Is t(y) a composite number? True Suppose 3*k + 0*k = 1179. Is k a prime number? False Suppose -3*f + 6 = -f. Let k be 33/4 + (-1)/4. Suppose 0 = f*r - k*r + 395. Is r composite? False Let p(w) = 2*w**2 - 6*w + 7. Let j(v) = 3*v**2 - 6*v + 7. Let x(y) = -3*j(y) + 4*p(y). Is x(-6) a prime number? True Suppose 2*y + 3*a = 1328, -a - a = 4. Is y composite? True Let f(m) = 2*m - 20*m**2 + 110*m**3 + 18*m**2 - m. Is f(1) prime? True Suppose 0 = -4*l + 2*l + 8. Suppose -l*a + 145 = z, 5*z - a - 248 = 540. Is z composite? False Let f = 12 + -8. Suppose f*g + 0*g - 784 = 0. Suppose -2*s = 2*s - g. Is s a composite number? True Let a = 5254 + -2919. Suppose 5*q = -0*q + a. Is q prime? True Suppose 0*x + 12 = 3*x. Let a be 3 + x*-3 - -2. Let b(p) = p**3 + 8*p**2 + 2*p + 2. Is b(a) prime? True Let c be ((-6)/(-2))/(3/3). Suppose 0 = -2*m + 4*j - 88, c*j = -4*m - j - 140. Let o = -25 - m. Is o prime? True Let v = 5893 + -962. Is v a prime number? True Let i(y) = y**3 - 7*y**2 + y + 1. Let v be i(6). Suppose -2*f + 10 = -t, 3*f + 0*f + 11 = -5*t. Is f*(v/(-3) + -1) composite? True Let y(z) = -2*z**2 + 9*z - 8. Let l(d) = d - 1. Let b(u) = 6*l(u) - y(u). Let p be b(2). Suppose p*a + a = 10. Is a a composite number? False Let w(z) = 528*z - 27. Is w(7) a prime number? False Let a = 7 + 8. Let x(o) = -o**3 + 15*o**2 + 4*o - 3. Is x(a) prime? False Suppose -5*a = -5, -5*a + 0 + 258 = d. Is d prime? False Suppose c = 3*c - 200. Let z be (-2953)/(-13) - (-6)/(-39). Let p = z - c. Is p prime? True Let u(x) = -x**2 - 7*x - 5. Let q be u(-5). Suppose 171 = -q*b + 766. Is b composite? True Let l(c) = 2*c - 4. Let i be l(3). Suppose 4 = -4*g, -i*o - 5*g + 175 = o. Suppose -3*h = -3*t + 2*h + o, 4*h + 72 = 4*t. Is t a composite number? True Let n = -565 - -1106. Is n a composite number? False Suppose -5*m + 18 = -177. Is m composite? True Suppose 10 = -4*y - 10. Let t(b) = -b**3 - 6*b**2 - 6*b - 1. Is t(y) prime? False Suppose 2*b + 3*b = i + 3388, -2*i + 671 = b. Is b a prime number? True Let i(r) = -46*r. Let v(j) = 31*j. Let q(y) = 5*i(y) + 7*v(y). Let l = 1 + -3. Is q(l) a prime number? False Suppose -3*o = 2*p - 1059, -3*o + 750 = -4*p - 309. Is o a composite number? False Suppose -3*p + 4*s + 10829 = 0, -4*p = -3*p - s - 3609. Is p prime? True Suppose 4*y - 13 = 3*x, y + 2*x - 8 = -2. Suppose -j + 77 = -y*a, 7*j - 351 = 2*j + 3*a. Is j a composite number? True Let a(n) = -54*n. Let b be a(-3). Suppose -5*k + 422 = b. Is k/(2*(0 - -1)) composite? True Suppose -g + 5*g - 5*o - 18 = 0, 2 = -o. Let p(u) = 77*u**2 - u + 1. Is p(g) composite? False Let h = 57 + -27. Suppose 5*l = 3*o + h, 4*o = l - 18 - 5. Let w = o + 20. Is w composite? True Let u = 86 - 60. Is u a prime number? False Let f = 13 - 19. Let c be 20/6 + (-4)/f. Is (-2 - 0)*(-190)/c prime? False Suppose -l + 0*r + 4*r = -203, 418 = 2*l - 2*r. Is l a prime number? True Let n(d) = -81*d + 35. Is n(-8) a prime number? True Let f(a) = -a**3 - a - 1. Let r be f(-2). Let l be 1/(-3) - (-3)/r. Is (-1 + l)/((-2)/74) a prime number? True Let l = 0 + 257. Is l composite? False Let j be (-3 + 4)*22/2. Suppose 2 = -g + j. Is g prime? False Suppose -5*j = t - 260, 2*t = 2*j - 152 + 36. Is j a prime number? True Suppose 829 = 4*g + 5*y, -2*g - 835 = -6*g - 3*y. Is g a prime number? True Let r = -677 + 1176. Is r a prime number? True Suppose 5*a + 3*v + 8 + 21 = 0, -a = -5*v + 17. Is 1 + a/(14/(-36)) a composite number? False Let s be (-2 - -4)*1/(-1). Suppose -8 = -i - r, -r + 2 = -2*i + 12. Is s/(-4) + 531/i composite? False Let m(b) = 16*b**2 - 9*b - 14. Is m(-5) composite? False Let w(m) = -m**3 - 5*m**2 + 4*m - 8. Let f be w(-6). Suppose -2*y = -2*q + 286, -f*y - y + 4*q = 711. Let k = -26 - y. Is k a prime number? True Let r = -21 - -34. Suppose -3*x + 5*u = -x + 16, x = 5*u - r. Is (127 - -2) + 6/x a composite number? False Let k(g) = 3 - 2 - 1 + 287*g**2. Is k(1) a prime number? False Suppose b - 3*j - 6 = 0, 7*j = 4*j + 15. Let x = 26 + b. Is x a composite number? False Suppose -5*d = -2*d, 5*b + 3*d = -800. Let o = -107 - b. Suppose -f = -0*f - o. Is f prime? True Let r = 12 - 7. Suppose -2*i - 165 = -r*i. Is i composite? True Suppose 0*o + 4*o = 0. Suppose o = 2*k + k - 75. Let j = k - 12. Is j composite? False Suppose 1126 = y + 5*g, 4*g + 9459 - 3742 = 5*y. Is y a prime number? False Suppose 169 = b - 9. Is b composite? True Suppose -5*f - 201 = -g, -3*g + 958 - 279 = 4*f. Is g prime? False Let a(u) = 4*u**2 + 12*u - 3. Let h(k) = 3*k**2 + 11*k - 2. Let p(c) = 5*a(c) - 6*h(c). Is p(-4) composite? False Let l = -18 - -9. Let q be 0/((-6)/l*-3). Suppose -392 = -5*f + 2*m + 233, q = 2*f + 5*m - 279. Is f a composite number? False Let g(v) = v**3 - 10*v**2 + 8*v + 11. Is g(9) composite? False Let i(m) be the first derivative of -m**6/60 - m**5/60 + m**4/8 + m**3/6 - m**2/2 - 2. Let v(u) be the second derivative of i(u). Is v(-3) composite? False Suppose 4*x + 20 = 0, -2*k + 3 = 2*k + 5*x. Suppose -k*q + 159 = -4*q. Is q a prime number? True Let f = 7 + -5. Is (f/(-3))/(12/(-5526)) composite? False Let i(k) = 9*k**2 - 21*k + 13. Is i(9) a prime number? False Let y = 11832 + -7051. Is y prime? False Let y(w) = -w**2 + 3*w. Let p be y(2). Let n be 17*(-2 + p*3). Let d = n + -35. Is d a composite number? True Suppose m + 4*s = 5, -5*s + 29 = -5*m + 4. Is (15/(-10))/(m/466) a composite number? False Is 2 + (56 - 3)/1 - 0 prime? False Let k(o) = 2*o**2 + 8*o - 9. Let m(a) = a**2 + a - 1. Let b(r) = -k(r) + 6*m(r). Is b(-7) a composite number? True Let m be 4*(-2)/(-8)*251. Suppose -3*w + m = 74. Is w a composite number? False Let a(m) = 13*m - 9. Let r(h) = 12*h - 10. Let j(v) = -3*a(v) + 2*r(v). Is j(-8) a prime number? True Suppose -s + c = -2*s + 9, 0 = -5*s + 4*c. Let n = s + 0. Suppose n*t - 2*m - 17 = -3, -2*t + 3*m = 3. Is t composite? True Suppose 5*x - a - 18 = -4*a, x - 5 = -2*a. Suppose -2 - x = -w. Suppose w*y - 140 = -3*g, -2*y - 290 = -5*g + y. Is g prime? False Let g = 16 - -33. Is g a prime number? False Suppose 3*l - 35 = 2*l. Is l prime? False Suppose -18 = -4*z - 3*s, 0 = -2*z - 2*z + 2*s + 8. Suppose -44 = -z*x + d, -2*x - 3*d + 6 = d. Is x a composite number? False Let y = -4 + 6. Is (-1)/y - 95/(-2) a prime number? True Suppose -5*w = -398 - 142. Let l = 185 - w. Is l a prime number? False Suppose 11576 = 17*l + 322. Is l prime? False Suppose 3*t - 2*t = 6. Let z(h) = h**3 + h**2 + h + 1. Is z(t) prime? False Let o(b) = 192*b**2 - b - 2. Suppose 0*x + x + 1 = 0. Is o(x) prime? True Suppose 1232 = 5*h - 258. Is h a composite number? True Let c(h) = -h*
{ "pile_set_name": "DM Mathematics" }
. Let p be f(-7). Suppose 2*s + 0 - d = -5*k, -5*k = p. Solve 5*m - o = 4*o, -s = 3*m - 4*o for m. 1 Let q(v) be the second derivative of -v**5/20 + v**4/2 + 5*v**2/2 + 4*v. Let z = 15 + -9. Let b be q(z). Solve 3*j + 7 = -2*o + o, -41 = -b*o + 4*j for o. 5 Let c be (8/5)/(3/(-15)). Let q = -1 - c. Let g be (0 - 0)*(-6 + q). Solve -3*f + 5*z + 13 = g, -5*f + 2 = -z - 5 for f. 1 Suppose 0 = -2*z + 4*n + 18, z + 5*n = 3*z - 20. Let r be -6*(40/(-12))/z. Solve -r*q + 17 = o + 2, 15 = 2*q - o for q. 5 Let a = 7 + -12. Let p = a + 24. Let v(m) = 5*m**2 - 29*m. Let x be v(6). Solve 0 = 5*y - 2*b - p, -y - 5 = -2*b + x*b for y. 3 Let h = 0 - -4. Solve -o = 4*o + g + 11, -3*o + 2*g - h = 0 for o. -2 Let g be 27/5 + -5 + 36/10. Solve -2*c = -v + 6, -2*c + 36 = -g*v - 6*c for v. -4 Suppose 2*l - 4 = l. Let a be -1 + (l - (-3)/(-1)). Solve 3*h + 2*z + 1 = a, -4*h + 2*z - 3*z = 8 for h. -3 Let j(h) = h**2 - 4*h - 7. Let z be j(6). Suppose 2*s - 53 = -z*a, -4*a - a + 59 = -4*s. Let r = a - 0. Solve f + i - r + 3 = 0, 4*i + 13 = 5*f for f. 5 Suppose 4 = -4*g - 8. Let q = g + 7. Let t = q - 4. Solve 0 = 4*w + p - 16, t*w + 5*p = -2*w + 26 for w. 3 Suppose -4*h = 4 - 16. Suppose 17 = p + 1. Suppose n = -h*n + p. Solve -5 = -5*g + j, 5*g = g - j + n for g. 1 Let q = 44 + -13. Let v = q + -18. Suppose -v = -3*k - 1. Solve k*g + 5*s = 10, -3*g + 6 = 2*g + 3*s for g. 0 Suppose 5 = 6*s - 19. Suppose -5*b = 2*w + 20, -5*w + b = 2*b + 4. Let j(r) = -r**2 - r + 2. Let d be j(w). Solve 0 = d*z + p + 6, z - s*p + 31 = -2*z for z. -5 Suppose 5*n - 14 - 51 = 0. Let d = -9 + n. Solve -2*w + 28 = 4*o, 17 = -w + 5*o - d for w. 4 Let w be 2/(1/((-4)/(-2))). Suppose 3*i = -4*x + 3, -4*i - x = 3*x - 4. Let b be i/(4/8) + -1. Solve w*l + 5*j = 4 - 1, b = -j for l. 2 Suppose 4*u - 3*u = -u. Solve -5*m - y + 28 = u, -2*m + 6*y = 4*y - 4 for m. 5 Let x be (-6)/(-4) - 7/14. Solve -3*n + x = -7*n + p, -2*n - 2*p + 2 = 0 for n. 0 Let u(j) = -j**3 + 8*j**2 - 8*j + 9. Let c be u(7). Solve 5*s - 4 = 2*s + r, -c*s + 3*r - 9 = 0 for s. 3 Suppose 5*o - 5 = 4*o. Suppose n - r + 1 = -4*r, o*r = -10. Solve 2*k = -x + 1, -5*k + k + x = -n for k. 1 Suppose -f = -0*f + 14. Let i = 18 + f. Solve -3*t = -4*p - 16, 2*p = i*t - p - 12 for t. 0 Suppose 2*n - 9 = -3. Suppose -3*g + 4*t - 6 = -0*g, -1 = -5*g + n*t. Solve g*f = 2, 4*l - l + f + 11 = 0 for l. -4 Let h(i) = -2*i**3 + i**2 + i + 1. Let m be h(-1). Suppose -m*j = j. Let f(n) = 4*n - 6. Let a be f(2). Solve b - 4 = c - j*c, -a = 3*c + 2*b for c. -2 Suppose 5*c + 30 = -u, -2*c - 2*u - 12 - 8 = 0. Let a = 6 + c. Solve -4*j + y = 5, 2*y + a - 5 = 5*j for j. -2 Let q = 20 + 2. Solve -q = 4*h - 3*z, -2*h = -3*z + 11 + 3 for h. -4 Let z(b) = b**2 - 6*b + 2. Let j be z(6). Let a(x) = -4*x - 159. Let r be a(-42). Let t = -3 - -7. Solve 2*l + 28 = t*h - j*l, -l + r = 3*h for h. 4 Suppose 2 = -3*k + 2*k. Let y = -4 + k. Let t(q) = -q - 6. Let h be t(y). Solve -2*r + 10 = -2*g, 6*r - 2*r - 12 = h for g. -2 Let q = 5 + -4. Let j be (-2)/(-2) + q + 1. Solve 5*v - 5*y = 10, -4*y - 3 = -j*v + 4 for v. 1 Suppose n + 4 = 2*n. Let h be 4 + 3/((-3)/(-2)). Solve -h*c - n*r = -2*c, -2*c = -4*r - 30 for c. 5 Suppose 8*a = 3*a - 5*k + 50, -2*a - 3*k + 25 = 0. Suppose a*f - 13 = 357. Let t be f/14 - 6/21. Solve -5*c - 25 = -t*y, -10 = 3*c - c - 4*y for c. -5 Let z(u) = -u**2 + 5*u. Let p be z(4). Suppose 2*a - a = 5. Suppose 31 = a*l - 4*s, 0 = -3*s - 2*s - 20. Solve l*t = -2*n - 16, p*t = -n + 8*t + 14 for n. -2 Let w = 8 + -4. Let h(n) be the third derivative of -n**5/60 - n**4/4 + 5*n**3/3 + 2*n**2. Let s be h(-7). Solve v - 19 = -s*a, 5 = w*v + v - 3*a for v. 4 Let d = 29 - 48. Let q be 4/14 + d/(-7). Solve -w + i + q*i - 19 = 0, 3*w + 2 = i for w. 1 Let r = -14 + 14. Solve -4*b - 15 = -r*p + p, 4*b + 21 = 5*p for b. -4 Let a(i) = i + 6. Let f be a(-4). Solve v + 4*v = f*s + 28, 4*s + 28 = 3*v for s. -4 Let m(v) = 2*v + v - 2*v - 3*v + 2. Let w be m(-1). Solve w*a - 4*o = o + 22, 5*a - o = 17 for a. 3 Let i = -6 - -6. Suppose i = -2*g - g + 9. Solve -g = s - 3*s + 3*q, s = -3*q + 6 for s. 3 Suppose -3*y = -2*g + 13, 2*g + 2*y + 3 = 11. Suppose -2*j = -5*j + 6. Solve j*r = g*d - 16, r - 12 = 5*r for d. 2 Suppose -2*a = -2*j + 6, -4*a = 2*j + 3 + 9. Solve 2*h + 16 - 4 = 2*k, k - 3*h - 10 = j for k. 4 Suppose -14*k = -15*k + 3. Let a be k/6 - 14/(-4). Solve a*v + 4*d + 6 = 7*v, -4*v = -2*d + 2 for v. -2 Suppose 5*o - 9 = 1. Suppose o*h = 3 + 1. Solve r + 2 = -h*b, 1 + 34 = 5*r - 5*b for r. 4 Let b = -1 - -7. Let i = 6 - 4. Let x = 5 - i. Solve -3*t + x*c = -9, -2*t - 2*c + 8 + b = 0 for t. 5 Suppose 3 = 3*j - 3*d - d, 0 = 2*j - 4*d + 2. Solve 2*w + 0*w = p + 12, -19 = -3*p - j*w for p. -2 Suppose -2*u = -5*u - 21. Let b = u + 10. Solve -b*s + v + 8 = 0, v - 38 + 14 = -5*s for s. 4 Let t(b) = b + 4. Let x be t(0). Let l = 11 + -7. Solve 0 = -2*k - 0*g - g - 12, -5*k = -x*g + l for k. -4 Let r = -1 - -14. Suppose 4 = -3*h + r. Solve 0 = z - 3*u - 10, 5*z = -0*z + h*u + 2 for z. -2 Suppose 6*z = 5*z + 8. Let n(t) = -t + 8. Let k be n(z). Solve k = -5*m + 4*i - 21, 4*i = m - i for m. -5 Let l = -2 + 2. Suppose -4*q + z - 5 = 0, 3*q + l*q - 2*z = -10. Let d = -3 - -5. Solve -5*x = v + 11, -3*x + x + d*v - 14 = q for x. -3 Suppose 0 = -i - 7 + 16. Suppose 3*j + 5*h = 24, j - 2*h + 1 = i. Solve 0 = -2*c - 5*x - j, -c - 3 = 2*x for c. 1 Let t(v) = -v**2 + 10. Let n be t(0). Suppose -6*h + h + n = 0. Let j be -1*(-19)/1 + -3. Solve -h*w = -2*z - j, 0 = -3*z - 0*z - 3*w for z. -4 Let k = -8 - -4. Let a = 0 - k. Solve -g = -3*u - a, 2*g = 7*g + u - 4 for g. 1 Let j(p) = -5*p**3 - 2*p**2 - 2*p. Let o be j(-1). Solve 5*a - 14 = -3*l - 4, -2*l + o*a - 35 = 0 for l. -5 Suppose 2 + 3 = n. Solve 0 = 3*h - 3*l - 27, -l - 2*l = 5*h - n for h. 4 Let i(o) = o**3 - 2*o**2 - 5. Let f be i(3). Solve w + 12 = f*n, -3*w = -n + w + 18 for n. 2 Suppose -4*i + 24 = 4*a, 5*i = -0*i. Let k = 6 - 3. Let p = -2 - -4. Solve -a*b + k*b = p*l + 6, -b + 8 = 4*l for b. -4 Suppose 4*u = -0*u. Suppose -5 = -3*s + 7. Suppose f = -4*w + 2*f + 15, 4*w = -s*f. Solve -6 = -2*x - w*c, x + 4*x - c + 19 = u for x. -3 Suppose -5 + 21 = 4*r. Solve t - 9 + 34 = r*v, 0 = -4*v - 3*t + 5 for v. 5 Suppose -2*l + 5 + 1 = 0. Suppose 2*h - 16 - 18 = 0. Suppose c = -3*d + 10, -2*d - 3*d = 2*c - h. Solve d*r = 2*v + 2, 10 = -l*v + r - 0*r for v. -4 Let y = 4 + 1. Suppose -x = -y*x. Solve -o + s = 3, x*o - 3*o - 2*s = -16 for o. 2 Let o = 90 - 85. Solve 4*y = 2*y - 4*f, -4*y - 13 = -o*f for y. -2 Let a be (-3)/5 + 62/(-5). Let q = a + 16. Solve 4*c = -3*d - 18, -2*c - 5*d + q*d = 10 for c. -3 Let f(z) = 3*z - 6. Let a be f(7). Let x = 9 + 1. Suppose -4*t - t - x = 4*v, 3*v + 19 = 2*t. Solve -3*h - t*k = -a, 5*h + k - 10 = 15 for h. 5 Let s(y) be the second derivative of y**4/4 - y**3/3 + 2*y. Let v be s(-1). Solve -3*q - d = 5, -d = -v*q - 9 - 10 for q. -3 Let i = 39 + -39. Solve i = -4*g + 16, 7*g - 3*g = -3*h + 22 for h. 2 Suppose 0 = -2*w - w + 18. Suppose 10 = 2*n - w. Suppose d + d = n. Solve -9 + 37 = d*r + 4*l, 4*r + 5*l - 31 = 0 for r. 4 Let o(z) = z**2 - 1. Let n(p) = -p**3 - 7*p**2 - 7*p - 4. Let x be n(-6). Let k be o(x). Solve -7*h + 20 = -k*h, 4*d = -3*h + 7 for d. -2 Let u be (-58)/(-7) + (-4)/14. Let p = u + -3. Let x = 1 + 3. Solve x*f + d = -d + 14, -p = -f + d for f. 4 Let m = -8 - -17. Solve 0 = 4*g - 3*h - 0*h - m, 5*g - 2*h = 6 for g. 0 Let w be 0 + 1 + (-1 - -2). Solve -5*f = j - 0*j + 25, -w*j = 0 for f. -5 Suppose 5*h + 2 = 6*h. Solve h*l + 3 = t + 4*t, 0 = -3*l - 3*t + 6 for l. 1 Let f(q) = -5*q. Let d be (-2 + 2)/(4/(-2)). Let v = -1 + d. Let i be f(v). Solve i*t - 2*z - 6 = 0, -5*z - 5 = 3*t + 10 for t. 0 Let f = 2 - 4. Let t(g) = -g**3 - 2*g**2 - g. Let l be t(f). Let k be (2 - 1) + 12 + l. Solve 0 = -3*s - k, 2*s = -2*x - 0*x - 18 for x. -4 Suppose 4*k - 9 - 3 = o, 5*o - 3*k - 8 = 0. Let j be 6/4*8/6. Let m be (j/(-4))/(-1)*16. Solve -3*h - o*q + 1 = 8, 0 = 3*h + 5*q + m for h. -1 Let f(b) be the first derivative of -b**2/2 + 5*b - 6. Let g be f(0). Solve -2*l + i = 1, g*l - l + 3*i + 7 = 0 for l. -1 Suppose 2*j + 12 = 6*j. Solve 0 = -2*y + 3*a - 1, j*y - 5 - 22 = -5*a for y. 4 Suppose -31*r + 27*r = -16. Solve -3*u - r*q - 14 = -5, u = 5*q + 16 for u. 1 Let q = 3 - 1. Let c = -7 + 9. Let x
{ "pile_set_name": "DM Mathematics" }
t m be 1*(2 + -2 - o). Suppose -3*z + 7*z - 40 = m. What is the least common multiple of 4 and z? 20 Suppose -v + 1 = 5, 0 = -2*r - 5*v + 834. Calculate the common denominator of -4 + (-98)/(-4) + -4 and 4/(-10) - r/(-30). 6 Let d be ((-1)/(-2))/(1/(-2)). What is the lowest common multiple of 7 and d/(-2) - (-63)/6? 77 What is the common denominator of 85/2 and (2 - 1)*((-2418)/(-28))/13? 14 Let t = 3 - -26. Let k = -20 + t. Suppose 2*s = 7 - 1. Calculate the lowest common multiple of k and s. 9 Let o = -18 - -24. Calculate the lowest common multiple of 1 + 7 + 0/(-2) and (-10)/60 + 133/o. 88 Suppose 0*r + 4*r - 48 = c, 0 = -r + 4*c + 12. What is the smallest common multiple of r and 38? 228 Let u(m) = m**3 + 14*m**2 + m + 4. Let q be u(-12). Calculate the common denominator of -71/8 and (-2)/(-5) + 2723/q. 8 Let t(s) = -s**3 - 5*s**2 - 6*s - 6. Let g(x) = -x**3 - 3*x**2 + 4*x - 4. Let k be g(-4). What is the smallest common multiple of 7 and t(k)? 14 Let t = 5 - 2. Suppose 3*j + 4*u + 14 - t = 0, -4*j - 5*u = 13. What is the least common multiple of 1 and j? 3 Let h(k) = k**2 - 6*k - 2. What is the common denominator of h(-4) and 77/8? 8 Find the common denominator of 79/20 and (1/55)/(20/(-3950)). 220 Let l = 1925/744 + 7/186. What is the common denominator of l and 6/(-15) - 21/60? 8 Let h be -17 + (0 - (-4)/4). Let n = 27 - 19. What is the smallest common multiple of n and h*(1/(-2))/1? 8 Let q = -3/463 - -6491/1389. Calculate the common denominator of (-1)/(-3) + (-339)/(-90) and q. 30 Let i = -2/3689 - -140192/18445. Find the common denominator of (3*(-2)/75)/((-4)/555) and i. 10 Let x = -172503/23630 + 2/11815. Calculate the common denominator of -91/20 and x. 20 Let n(t) = 75*t**3 - 3*t**2 + 2*t + 2. Let h be n(-3). Let a = h - -18478/9. Let c = 2212/3 - 730. What is the common denominator of a and c? 9 Let q = 35358/11 - 3212. What is the common denominator of 19/11 and q? 11 Calculate the common denominator of -9 and (-17)/(-15)*(-42)/4. 10 Suppose -c = -5*c. Let q be 15 + (-1)/((-2)/2). Let v = q + c. What is the least common multiple of v and 12? 48 Suppose 3*p + x - 3090 = 0, 2*p + x - 2059 = -0*p. Let v = -4165/4 + p. Calculate the common denominator of v and 41/4. 4 Let z = -7 + 29. Calculate the smallest common multiple of z and (-17)/(-3) + (-2)/(-6). 66 Calculate the common denominator of (-2)/11 - (-6699)/(-2420) and 1/(-3) - 137/6. 60 Let z(r) = 7*r**2 + r + 1. Let k be z(-1). Suppose -1 = -o + k. What is the lowest common multiple of o and 6/15 + 38/5? 8 Let p(f) = -2*f**2 - 3*f - 2. Let u be p(3). Let l = u + 43. Calculate the least common multiple of l and 12. 84 Calculate the common denominator of -33/4 and ((-2058)/56)/(6/(-4)). 4 Let i = -1067/2 - -2688/5. What is the common denominator of 1574/36 + 12/(-54) and i? 10 Let u be 1/(-3) + 19292/96. Let a = u + -201. What is the common denominator of 1/(-2) + 57/(-16) and a? 16 Let t = 34765/8 + -4339. Calculate the common denominator of 13/18 - (-2)/6 and t. 72 Let j = 4937111/204 - 281808/17. Let z = j - 7617. Find the common denominator of z and -89/14. 84 Suppose 4*d - d = 903. What is the smallest common multiple of d/13 - (-2)/(-13) and 11? 253 Suppose 3*u - 25 = 5. Suppose 3 = -g + 11. Calculate the least common multiple of u and g. 40 Let d = -14/101 + 6649/606. What is the common denominator of d and -9/11? 66 Suppose 6 = -c + 1. Let l = c + 3. Find the common denominator of ((-2)/(-14))/(l/74) and -8/5. 35 Suppose u + 1 = 4. Suppose 2 - u = -m. Calculate the lowest common multiple of m and 4. 4 Let a = -519301/130860 - 14/3635. Calculate the common denominator of a and -79/18. 36 What is the common denominator of (-1 + 43/(-2))/14 and -21/8? 56 Suppose 32 = 2*n + 2*m, 2*m + 9 + 85 = 5*n. Let r = -2 + n. Calculate the least common multiple of r and 2/(-9) - (-1274)/63. 80 Let n(c) = 2*c. Let v be n(7). Calculate the common denominator of 99/8 and 20/v*(-24)/15. 56 Let n = 643579/236430 + 2/13135. What is the common denominator of 97/114 and n? 342 Suppose 4*u - 7*u = -33. Suppose 0 = -2*w - w + 30. What is the lowest common multiple of w and u? 110 Let h(n) = n**2 - 5*n + 4. Let k be h(4). Suppose k*o + 2*o = -50. Calculate the lowest common multiple of 20/(-6)*90/o and 18. 36 Find the common denominator of 4/1 + (-856)/64 and 15/4. 8 Let m(a) = -4*a**2 - a - 1. Let j be m(-1). Let h(k) = 2*k**3 - 3*k**2 - 2*k - 1. Calculate the least common multiple of h(3) and 22 + j - (0 - -2). 80 Let n(x) = x**3 - 7*x**2 + 8*x - 8. What is the smallest common multiple of 20/80 + (-30)/(-8) and n(6)? 4 Let l be 430988/261*(-37590)/16. Let u = l - -3879526. Let m = u - -2/29. What is the common denominator of 17/20 and m? 60 Let g = -174654557/12 + 14546085. Let p(j) = j + 8467. Let m be p(0). Let i = g + m. Calculate the common denominator of i and 59/8. 24 Suppose -4*q - 5*k - 19 = 0, -3*q + 4*q + 1 = -5*k. Let v = 3 - q. Calculate the lowest common multiple of 3 and v. 9 Suppose 6 = -2*j - 10. Let g = -73/2 - -153/4. What is the common denominator of g and j? 4 Suppose 4*x - 10 = 3*x - 4*z, -4*z = 3*x - 30. What is the smallest common multiple of x and 15? 30 Let z be (0 - 1)/(2/(-12)). Suppose -14 = -10*g + 3*g. Calculate the least common multiple of g and 111/z - (-1)/(-2). 18 Let a(c) = c**2 + 2*c + 2. Let y be a(-2). Calculate the smallest common multiple of 2 and y + (3 - 2) + 0. 6 Let d(j) = j**2 + 27*j + 53. Calculate the lowest common multiple of d(-25) and 11 - 1*(0 + 1). 30 Let m = -311759712163/24968 - -99890879/8. Let w = -2/9363 + m. Let j = -453/14 + 125/7. Find the common denominator of j and w. 6 Suppose c = 55 + 236. What is the common denominator of 99/4 and -1 + c/(-54) + 3? 36 Let c(x) = -x - 2. Let u be c(2). Let o(m) = -4*m - 6. Let q be o(u). Let f = q + -4. Calculate the least common multiple of f and 9. 18 Let g = -1117/6 + 86753/466. Let d = -5353/4194 + g. What is the common denominator of 33/4 and d? 36 Let s = -23549504271/6466180 - -1/323309. Let k = -3639 - s. What is the common denominator of 57/10 and k? 20 Suppose 0 = -2*m + 16 - 4. Calculate the lowest common multiple of m and 6. 6 Let t = 16448 - 296141/18. Let y = 48 + -769/16. Find the common denominator of y and t. 144 Let c = -1387 + 9739/7. Calculate the common denominator of c and 2/11. 77 Let i = -20233678/2035 + 49714/5. Let g = i + -23526/2035. Find the common denominator of 44/3 and g. 15 Let b(g) = 147*g**2 + 3*g - 7. Let r be b(3). Let y = -8075/6 + r. Calculate the common denominator of 89/6 and y. 6 Let v(d) = -7*d - 5 + 2*d + d**2 - 4. Calculate the smallest common multiple of v(7) and 4. 20 Let s = 1/360 + 71/40. Calculate the common denominator of s and 79/10. 90 Suppose 5*m - 65 - 10 = 0. Let o(x) = x**2 - 14*x - 11. What is the smallest common multiple of o(m) and 18? 36 Suppose 4*a + 0*t = -2*t + 48, -4*a + 52 = t. What is the least common multiple of 4 and a? 28 Let h(j) = -4*j**2 + j. Let i be h(-2). Let b be (-1)/2 + i/4. Let w = -3 - b. What is the lowest common multiple of 8 and w? 8 Let y = 36 - 32. What is the smallest common multiple of 10 and y? 20 Let v = 3149/909 - 2/101. Find the common denominator of 1/10 and v. 90 Let i be 1 + (-9419)/20 - 2. Let w be (-1213)/5*(-4 - -2). Let c = w + i. What is the common denominator of -97/6 and c? 12 Let v(k) = -3*k - 10. Calculate the smallest common multiple of v(-6) and 46. 184 Let i = 90175241/16 - 5633361. Let h = i + -10391/4. What is the common denominator of -27/16 and h? 16 Suppose n - 22 = -4*j + j, -10 = -5*j. Calculate the least common multiple of 40 and n. 80 Let a = 72 - 36. What is the common denominator of 70/(-12) + (-2)/(-1) and 85/4 + (-9)/a? 6 Let w be (8 + 11)*(-6)/37. Let y = w + 4495/222. Find the common denominator of -2/7 and y. 42 Let x = -2/291 - -295/582. Find the common denominator of x and 119/18. 18 Suppose 0*b + 4*b + 8 = 0. Let y(w) = w**2 - 12*w - 12. Calculate the lowest common multiple of 2 - b*(-14)/(-4) and y(13). 9 Let m = -173 - -203. What is the lowest common multiple of m and 72? 360 Let u(r) = -5*r + r**2 - 4*r + 2 + 4*r. Calculate the lowest common multiple of u(7) and 29 + -6 + -1*3. 80 Let j(q) = 3*q**2 - 10*q - 5. Calculate the smallest common multiple of j(5) and 12. 6
{ "pile_set_name": "DM Mathematics" }
Calculate the greatest common factor of k and 8. 1 Suppose -q + 13 = 2*c - c, 5*c - 3*q - 73 = 0. Suppose -t - 3*t = -8. What is the highest common divisor of t and c? 2 Let s(l) = 4*l - 2. Let b be s(-4). Let v(g) = 38*g. Let q be v(-1). Let a = b - q. What is the greatest common divisor of a and 160? 20 Let z(j) = -2*j**2 + 39*j - 22. Let q be z(16). Calculate the highest common factor of 10 and q. 10 Let v(w) = -6 - 3*w - 5*w + 0*w - 1. Let n be v(-7). What is the highest common divisor of 7 and n? 7 Suppose -3*k + 3*b = -219, 3*k - k = -2*b + 126. Let v = 178 - k. What is the highest common divisor of 10 and v? 10 Let m(k) = -k - 6. Suppose 5*i + 52 = i. Let z be m(i). What is the greatest common factor of 7 and z? 7 Let z(v) = -3*v - 13. Let g be z(-5). Calculate the highest common factor of 3 and g. 1 Suppose 0 = -a + 2 + 2. Let b = -54 + 74. Calculate the greatest common factor of a and b. 4 Suppose -s - 3*n = 3, n + 2*n + 27 = s. Let u be (4 + -3)*-3 + 5. Suppose p - 1 - u = 0, 2*o + 2*p - 102 = 0. What is the highest common factor of s and o? 12 Let k be (42/(-10))/((-2)/10). Suppose 0 = -2*w + 213 - k. Let c be 4/6 - 102/(-9). What is the highest common factor of c and w? 12 Suppose -5*o + 14 - 9 = 0. What is the highest common divisor of 11 and o? 1 Let c(a) = a**3 + 4*a**2 - 4. Let l be c(-3). Let o(f) = -f**2 + 6*f + 15. Let r be o(5). Calculate the highest common factor of l and r. 5 Suppose -4*s = -0*s. Suppose s = x - 4 - 5. What is the highest common divisor of 36 and x? 9 Let j be 64/6*30/20. Calculate the greatest common divisor of j and 2. 2 Let s be (-49)/(-4) - 3/12. Let w(l) = -l - 9. Let h be w(-8). Let r be (-4 + 5)*(-36)/h. What is the highest common divisor of r and s? 12 Suppose 0*j - 8 = -j. What is the highest common divisor of j and 8? 8 Let s be 6/((-1)/(-18)*4). Let x = s - 7. Let l = 5 + x. What is the greatest common factor of 5 and l? 5 Let p = -18 - -20. Calculate the highest common divisor of 14 and p. 2 Let g be (3 + -2)*(5 + 9). Suppose -4*w + r = -169, w + 2*r - 39 - 1 = 0. What is the highest common divisor of g and w? 14 Suppose 2*w - q = 95, -q = -4*w + 26 + 165. What is the highest common factor of w and 24? 24 Let j(i) = -i**2 - 7*i + 10. Let x be j(-8). Suppose x*g - 84 = -g. Calculate the greatest common factor of g and 4. 4 Suppose 0 = -3*d + o + 57, d - 2*d + 33 = -5*o. Calculate the greatest common divisor of 144 and d. 18 Suppose -2*j + 9 = j. Suppose -2*i = -j*t + 89, -2*t + 60 = 4*i - 26. What is the greatest common divisor of 132 and t? 33 Let h = 13 - -17. Calculate the highest common divisor of h and 20. 10 Suppose 0 = -5*s - 2*u - 2*u + 28, 4*s + 2*u - 20 = 0. Suppose -2 = s*n - 5*n. Suppose 5*g - 3*g = n. What is the greatest common factor of 8 and g? 1 Let y(t) = t**2 - 6*t - 5. Let u be y(7). Let g be (-1)/(-2)*-1 - 675/(-30). What is the highest common divisor of g and u? 2 Let g be 36/(-42)*(1 - 15). Suppose -248 = -i - 0*i. Let t = -116 + i. What is the highest common factor of g and t? 12 Let x be (2/(-4))/((-2)/1440). Suppose -u = -4*u + x. Calculate the greatest common divisor of 15 and u. 15 Suppose 21 = 2*k - 5. Calculate the greatest common divisor of k and 26. 13 Let p be (-2 - -1 - -9)/2. Let r be 2/p + 78/4. What is the greatest common divisor of 80 and r? 20 Let m be 1 + -22*(-2)/1. Suppose -3*o - 6 = -m. Let h(k) = -11*k - 2. Let j be h(-12). Calculate the highest common factor of j and o. 13 Let a = -122 - -270. Calculate the greatest common divisor of a and 37. 37 Let l(x) = 5*x**2 + 2*x - 3. Let g be l(5). Suppose -2*s = s - 36. Calculate the greatest common divisor of s and g. 12 Let x be (8 - 10)*15/(-2). Calculate the highest common divisor of x and 60. 15 Let x = -310 - -573. Suppose 4*p - x = 97. Suppose 2*g - 50 = -3*s, -g + 4*g - 84 = -5*s. What is the highest common divisor of p and s? 18 Let t be 1*3*(-6)/(-9). Suppose -t*o = 4*p - 304, 0 = 5*o - 3*p - 543 - 230. What is the highest common factor of 14 and o? 14 Suppose 5 + 22 = 3*x. Calculate the greatest common divisor of 81 and x. 9 Let i be (-13 - -3)/((-2)/1). Suppose -2*t + 2*r = -2*r - 66, -i*r - 20 = 0. Calculate the greatest common divisor of t and 5. 5 Let p = -6127 - -3969. Let a be 1/5 + p/(-10). Let k = -135 + a. Calculate the highest common factor of 9 and k. 9 Suppose -4*k = -k - 4*x - 29, x = -3*k + 34. Calculate the greatest common divisor of k and 11. 11 Let x be 150/12*336/30. Calculate the highest common divisor of x and 35. 35 Suppose -4*o = -3*o - 196. Suppose 3*y + y + 4*f - o = 0, -119 = -3*y + 4*f. Let p = 49 + -31. Calculate the greatest common divisor of y and p. 9 Suppose 4 = n - 0*n. Suppose n*u - 72 - 24 = 0. What is the greatest common factor of 16 and u? 8 Suppose 0 = -5*i + 56 + 64. What is the greatest common divisor of 8 and i? 8 Let v be ((-2)/9)/(12/(-54)). Calculate the highest common divisor of 8 and v. 1 Suppose -n + 6*n = 55. Suppose 3*i - 16 = -i. Suppose 151 + 260 = i*a - 5*s, 4*a + 5*s = 381. What is the highest common factor of n and a? 11 Let z = 67 + -52. Calculate the greatest common factor of z and 45. 15 Let o(v) = 31*v**3 - 2*v**2 + 2*v - 1. Let w = 8 - 7. Let g be o(w). Let r(c) = c + 1. Let q be r(5). What is the highest common divisor of g and q? 6 Let f be (-184)/(-6) - 8/12. Let v be f/5 + 0 + 2. What is the greatest common factor of v and 2? 2 Let f(u) = 2*u**3 - u. Let p be f(2). Let z be 1326/p + 2/7. Let m(s) = 5*s**2 + s - 4. Let l be m(-3). What is the highest common divisor of z and l? 19 Let k(j) = j**2 + 2*j + 4. Let i be k(-5). Calculate the highest common factor of 209 and i. 19 Let p(t) = -t**3 + 9*t**2 + 2*t + 8. Let z be p(9). Let m be 3 + -1 + z + -2. Calculate the highest common factor of 39 and m. 13 Let f(t) = 2*t. Let q be f(4). What is the greatest common factor of q and 8? 8 Let x = -6 + 8. Suppose 5*j + x*w = 25, -13 = -4*j - 5*w + 7. Calculate the greatest common factor of j and 1. 1 Let l = 3 - -2. Let f be (42/l)/(3/40). Suppose 3*j + x - 44 = 3*x, 5*j - 2*x = 72. Calculate the greatest common divisor of j and f. 14 Let u(t) be the second derivative of t**3/6 - 5*t**2/2 - 2*t. Let g be u(5). Suppose -6*m + 4*m + 24 = g. What is the highest common divisor of m and 60? 12 Let a(c) = 3*c**2 + 9*c + 6. Let l be a(-7). Let n be 0*(-3)/9 + 36. Calculate the highest common factor of l and n. 18 Suppose 3*r + 5*y = 55, 4*r - 7*y - 50 = -2*y. Let f = 1 + 4. Calculate the greatest common factor of f and r. 5 Let v = -23 + 7. Let j be 4/v - 57/(-4). Calculate the highest common divisor of j and 154. 14 Suppose 2*z + z + 4*u - 15 = 0, -z + 5 = u. Let y(d) = -d**2 - 13*d + 19. Let v be y(-14). Calculate the highest common divisor of z and v. 5 Suppose -60*y - 9 = -61*y. What is the highest common divisor of 81 and y? 9 Let k = 2 + -2. Let r be (k - 1)/(-1) - -1. What is the highest common divisor of 18 and r? 2 Suppose -3*w + z + 4*z + 25 = 0, 0 = 3*w - 2*z - 28. What is the highest common divisor of w and 70? 10 Suppose 5*b - 2*q - 12 = 0, 5*b - 16 = 2*b - q. Let f be b - 4*(-1)/(-2). Let s be (-72)/(-5) + 8/(-20). Calculate the highest common factor of f and s. 2 Suppose -10 = 5*i - 70. Let x = -55 + 91. Calculate the highest common divisor of i and x. 12 Let i be (-1)/2 + 45/18. What is the highest common divisor of 4 and i? 2 Suppose 4*r + 4*u = 2 + 2, r + 2*u = 3. Let t(i) = -46*i - 1. Let q be t(r). Calculate the highest common divisor of q and 5. 5 Let g = 53 + -44. Calculate the highest common factor of g and 18. 9 Let o = 18 + -12. Let s(l) be the first derivative of 2*l**3/3 - l**2/2 - 6*l - 1. Let w be s(o). What is the greatest common factor of 15 and w? 15 Suppose 2*l + 5*c = 153, -336 = -5*l - 0*l + 3*c. Let z = l - 15. Calculate the highest common divisor of 6 and z. 6 Let i = 15 - 24. Let d be 30/i*(4 - 1). Let s be d/(3/(2 - 26)). Calculate the greatest common divisor of 20 and s. 20 Suppose -d - 18 = -4*d. Let h = -33 + 57. Suppose -2*j + 0*j = -h. Calculate the greatest common divisor of d and j. 6 Let o(f) = f - 3. Let a be o(4). Calculate the highest common divisor of a and 5. 1 Let t = -42 - -90. Let q = t + 73. What is the highest common factor of q and 11? 11 Let a = 8 + -6. Let n be (-5)/((-5)/12) - a. Calculate
{ "pile_set_name": "DM Mathematics" }
reatest common factor of u and 448? 56 Suppose 2*b = 53 + 11. What is the greatest common factor of 288 and b? 32 Suppose 2*y - 64 = l - 5*l, 5*y - 85 = -5*l. Let i(d) = -d**3 - 3*d**2 + 3*d. Let n be i(-6). Calculate the greatest common factor of n and l. 15 Let i(h) = 29*h + 14. Let s be i(4). What is the highest common divisor of 13 and s? 13 Suppose -g - 3*v + 24 + 5 = 0, 4*v = 5*g - 50. What is the greatest common divisor of g and 70? 14 Suppose -2 - 2 = -i, -4*w = 3*i - 384. Suppose 6*q = 3*q + 93. Calculate the greatest common factor of q and w. 31 Let j = 14 - -6. Let s be (-1 + -2)/(-3)*5. What is the greatest common factor of s and j? 5 Let l = -3 + 15. What is the highest common factor of l and 96? 12 Suppose -2*c - 3*o = -c - 14, -28 = -2*c + 4*o. Calculate the highest common divisor of c and 42. 14 Suppose k = -2*y - 28, -4*y + 3*k - 2*k - 44 = 0. Let h be -2 - y - 3*-1. What is the greatest common divisor of 143 and h? 13 Suppose -4*y = -22 - 10. Calculate the greatest common divisor of 56 and y. 8 Let o(u) = 6*u**2 - 29*u + 9. Let n be o(10). What is the highest common factor of 11 and n? 11 Suppose -2*a = -y + 3*a + 21, -4*y = -5*a - 24. Suppose 2*q - y = q. Calculate the greatest common factor of q and 11. 1 Suppose 0 = 4*o - 547 + 3. Calculate the greatest common factor of 17 and o. 17 Let r(o) = o**2 - 2*o + 3. Let j(b) = -b - 4. Let u be j(-7). Let g be r(u). Calculate the greatest common factor of g and 36. 6 Let f(i) = -2*i**3 - 16*i**2 + 6*i + 8. Let p be f(-9). Calculate the highest common divisor of p and 4. 4 Let r(a) = -a + 14. Let g be r(0). Suppose -6*t = t - 147. What is the highest common factor of t and g? 7 Let i(s) = s - 4. Let t be i(6). Suppose t*d + 2*z - 14 = 0, -6 = 3*z - 6*z. What is the greatest common divisor of 10 and d? 5 Let p(v) = 2*v + 9. Let n be p(5). Let y be (1 + -6)/(n/(-38)). Let k be (-1 + 2)*1 + 19. Calculate the highest common factor of k and y. 10 Let l(w) be the third derivative of -w**4/8 - w**3/2 + 2*w**2. Let r be l(-2). Suppose -r*d + 0*d = -24. What is the greatest common factor of d and 1? 1 Suppose -13 = -3*z - 4. Let t be 2/3 - (-485)/15. What is the greatest common factor of z and t? 3 Suppose 0 = -4*l - 8 + 32. Let w = l - 4. Let b be w*(1 - (-17)/2). What is the greatest common divisor of b and 19? 19 Let p(y) = 34*y**2 - 2*y + 2. Let c be p(1). Suppose 2*u - 4*u - 5*l - 41 = 0, -2*u + 5*l = -9. Let o = u - -93. Calculate the highest common factor of o and c. 17 Let a(s) = 9*s - 2. Let d be a(5). Suppose 4*c - d - 1 = 0. What is the highest common factor of 121 and c? 11 Suppose 0 = -6*s + s + 135. Suppose -2*z + 1 = -z, f - 3*z = 6. What is the greatest common factor of f and s? 9 Let x be -1 - (-78 + -1 + 0). Let y = 111 - x. Calculate the greatest common divisor of 22 and y. 11 Let r be ((-1)/(5/(-15)))/(1/4). Calculate the highest common divisor of r and 48. 12 Let t(l) = -l - 88. Let i be t(0). Let w = 166 + i. Suppose -4*v = -v - w. Calculate the greatest common divisor of 39 and v. 13 Suppose 0 = f - 4*g + g + 6, 0 = 2*f + 4*g - 28. Let n be 1/2 - (-83)/2. What is the greatest common divisor of n and f? 6 Let c be 1/((-2)/(-80)) + 0. Calculate the greatest common factor of c and 16. 8 Let g = 37 - 25. Let a(q) = 20*q. Let o(u) = 3*u**2. Let t be o(1). Let f be a(t). Calculate the highest common factor of f and g. 12 Let i be (0/5)/(-1 - -2). Suppose i = 2*x + 3*a - 1, x + 5*a = 5*x - 35. Suppose -9 = -x*y + 2*y. Calculate the highest common divisor of 21 and y. 3 Let q(l) be the first derivative of l**3/3 - 11*l**2/2 + 12*l + 5. Let b be q(11). Calculate the highest common divisor of b and 18. 6 Let d be (-54)/(-15) + 2/5. Let j(r) = -11*r - 2. Let f be j(d). Let y = -28 - f. Calculate the highest common divisor of y and 9. 9 Let v be (0 + -2)*(-5 - 5). What is the greatest common factor of v and 4? 4 Suppose 5*v - 48 = -4*y, -2*y - 6*v + 3*v + 26 = 0. Let d = 0 + y. Suppose -3*t = -l - 105, -2*t + 105 = t + 4*l. What is the highest common factor of t and d? 7 Suppose 3 = 3*a - 0, 0 = 3*d + 4*a - 16. Let x be (0 + 1)*(-1 + d). Suppose 4*o + 17 = g, 4*g - x = -4*o + 5. Calculate the greatest common divisor of g and 35. 5 Let b(p) = -p**3 + p**2 + p + 8. Let k be b(0). Let w = k - 4. Suppose w*u + 4*z = 7 + 33, -5*z = 10. Calculate the highest common factor of u and 132. 12 Let p(a) = a**2 - 2*a. Let t be p(6). Calculate the greatest common divisor of t and 3. 3 Suppose 3*k + 20 = 8*k. Calculate the highest common divisor of 20 and k. 4 Suppose 129 = 5*d - 106. Calculate the highest common divisor of 517 and d. 47 Let c = 19 + 5. Let s(y) be the first derivative of 2*y**3 - 1. Let g be s(1). Calculate the highest common divisor of c and g. 6 Suppose f + 15 = -0*f - 2*b, 0 = 4*f + 3*b + 85. Let v = -5 - f. Calculate the highest common divisor of 30 and v. 10 Suppose 7 = -3*u - 2. Let i = 0 - u. Let f be -2*(1 + (-3 - -1)). Calculate the greatest common factor of i and f. 1 Let h = 9 - 5. Suppose 0 = h*s - 3 - 41. Suppose -2*y + 7*y - 495 = 0. Calculate the highest common divisor of s and y. 11 Let o be 3/9 - (-11)/3. Calculate the greatest common divisor of o and 3. 1 Suppose 0*y - 4*u = -3*y + 133, 2 = -2*u. What is the greatest common divisor of 473 and y? 43 Let g = -13 + 59. Let m = -33 + g. Calculate the highest common divisor of m and 117. 13 Suppose -x = -2*x, 2*x = -s + 44. Calculate the highest common divisor of 66 and s. 22 Suppose 4*m + 36 = 2*q, 3*m = -5*q - 0*m + 64. Suppose -4*a + 10 = -q. What is the highest common factor of a and 3? 3 Let l be (-11)/(-3) - (-9)/27. Suppose -l*o + 33 = -o. Calculate the greatest common divisor of 11 and o. 11 Let a(h) = h**2 + 4*h - 11. Let r be a(-8). Suppose -3 = 3*z - r. What is the greatest common divisor of z and 15? 3 Let j = 0 - 0. Suppose j = w - 2*w - 3. Let n be (w/(-2))/((-3)/(-64)). Calculate the highest common divisor of n and 4. 4 Let a = 15 + -3. Let d be a/(-21)*14/(-2). Calculate the greatest common divisor of d and 2. 2 Let h = -22 - -36. Let k = h + 58. Suppose 6*g - k = 2*g. Calculate the greatest common factor of g and 12. 6 Suppose 0 = -5*x - 2*s + 11, 0*x + 3*x + s = 7. Let i be ((-20)/(-2))/2 + 0. Let o = i - x. What is the highest common factor of o and 10? 2 Let h be 5 + -4 + (12 - 1). Suppose 0 = -2*b + 3*v + 3, 0 = -2*b - 0*v + 2*v + 4. Let p be (b + 5)/((-2)/(-33)). Calculate the highest common factor of p and h. 12 Let m be ((-60)/(-8))/(6/64). Let h be 2/(-1 - -2)*16. What is the greatest common divisor of h and m? 16 Suppose -r + 4 = u, 3*u - 14 = -3*r - 2*r. Suppose -5*z + 5*q = -15, 2*z + 3*q - 21 = -5. Suppose 186 = z*k + 21. What is the highest common factor of k and u? 3 Suppose 4*c + 0*b + 987 = -5*b, c + 2*b + 243 = 0. Let l = -162 - c. Let h = 37 + -24. What is the greatest common divisor of h and l? 13 Let n = -5 + 9. Suppose -4*o + 28 = -3*p - 109, 2*o + n*p - 52 = 0. Suppose 0*g + 4*g - o = 0. What is the greatest common factor of 2 and g? 2 Let x = 16 + -22. Let u(j) = j**3 + 6*j**2 - j - 2. Let g be u(x). Calculate the greatest common factor of 4 and g. 4 Suppose -3*u = -u + 4*s + 16, -4*s = 20. Suppose 4*p + a + 25 = 80, p + u*a = 19. What is the highest common factor of p and 104? 13 Let w = -19 - -187. Calculate the highest common divisor of 21 and w. 21 Let q(c) = c**2 - 9*c - 15. Let k be q(-5). What is the greatest common divisor of 440 and k? 55 Suppose 3*a + 7 = 19. Suppose -3*z = -5*c + 14, 3*z = a*c - c - 6. What is the greatest common divisor of 6 and z? 2 Let s = 368 - 215. What is the highest common factor of 17 and s? 17 Suppose 4*l = 3*x - 49 - 16, x = -2*l + 25. Calculate the highest common factor of x and 115. 23 Let j be (19/(-5))/(2 + 22/(-10)). What is the highest common factor of 76 and j? 19 Let v(t) = t**2 + 10*t - 16. Let d be v(-11). Let b be (-28)/d - (-8)/20. Calculate the highest common factor of 9 and b. 3 Let k be (-74)/(-8) - 3/(-4). Calculate the highest common divisor of 4 and k. 2 Suppose -4*y - 2*a + 86 = 0, 3*y + 2*y - 103 = -a. Let h = -13 + y. Calculate the highest common divisor of 21 and h. 7 Suppose -1 + 5 = -2*u, -3*d + 5*u = -31. Suppose 0 = 3*x + 14 - 71. Let g = x - d. What is the highest common divisor of g and 12? 12 Let y = -99
{ "pile_set_name": "DM Mathematics" }
and 14? 14 Calculate the greatest common divisor of 50 and 6050. 50 Calculate the greatest common divisor of 49 and 5047. 49 Calculate the greatest common factor of 55 and 33. 11 Calculate the greatest common divisor of 975 and 624. 39 What is the highest common divisor of 4 and 1536? 4 What is the greatest common divisor of 12 and 3402? 6 What is the greatest common factor of 35 and 1120? 35 What is the highest common divisor of 180 and 990? 90 What is the greatest common factor of 6946 and 46? 46 Calculate the highest common divisor of 2975 and 238. 119 What is the highest common factor of 20 and 380? 20 What is the greatest common divisor of 56 and 3472? 56 Calculate the greatest common divisor of 10928 and 16. 16 Calculate the greatest common divisor of 72 and 5526. 18 What is the highest common factor of 395 and 5? 5 Calculate the highest common divisor of 11 and 583. 11 Calculate the highest common divisor of 57 and 5073. 57 Calculate the highest common divisor of 1918 and 182. 14 What is the highest common divisor of 57 and 38? 19 What is the greatest common factor of 221 and 68? 17 Calculate the greatest common factor of 17725 and 25. 25 Calculate the highest common factor of 18 and 918. 18 Calculate the highest common divisor of 323 and 17. 17 What is the highest common factor of 112 and 560? 112 What is the greatest common divisor of 236 and 14? 2 Calculate the highest common divisor of 2 and 1994. 2 What is the highest common divisor of 98 and 11711? 49 What is the highest common divisor of 19 and 4009? 19 What is the highest common divisor of 29 and 1189? 29 What is the greatest common divisor of 21 and 49? 7 Calculate the highest common divisor of 329 and 7. 7 What is the greatest common divisor of 365 and 2847? 73 Calculate the highest common factor of 24 and 1032. 24 Calculate the highest common divisor of 6751 and 314. 157 What is the highest common factor of 14 and 12222? 14 What is the greatest common divisor of 255 and 39355? 85 Calculate the highest common divisor of 632 and 10. 2 Calculate the highest common factor of 237 and 27. 3 What is the highest common divisor of 49781 and 67? 67 What is the highest common factor of 348 and 1668? 12 What is the highest common divisor of 18200 and 70? 70 Calculate the greatest common factor of 10 and 3200. 10 What is the greatest common factor of 1036 and 740? 148 What is the highest common divisor of 1960 and 343? 49 Calculate the greatest common factor of 848 and 18868. 212 Calculate the highest common divisor of 387 and 86. 43 Calculate the greatest common divisor of 999 and 37. 37 What is the greatest common divisor of 9 and 1089? 9 Calculate the highest common factor of 16665 and 825. 165 What is the greatest common factor of 93 and 13? 1 What is the greatest common factor of 37477 and 22? 11 What is the highest common factor of 86 and 215? 43 Calculate the highest common divisor of 35 and 25. 5 Calculate the greatest common divisor of 120 and 640. 40 Calculate the highest common divisor of 16583 and 7. 7 Calculate the greatest common factor of 4104 and 608. 152 What is the greatest common divisor of 6300 and 196? 28 What is the highest common factor of 496 and 32? 16 Calculate the highest common factor of 3 and 177. 3 Calculate the highest common factor of 476 and 68. 68 What is the highest common divisor of 18 and 4986? 18 Calculate the greatest common factor of 10 and 70130. 10 Calculate the highest common divisor of 371 and 77. 7 What is the greatest common divisor of 28 and 224? 28 Calculate the greatest common divisor of 36 and 384. 12 What is the greatest common divisor of 170 and 1054? 34 Calculate the greatest common divisor of 6 and 1434. 6 Calculate the greatest common divisor of 644 and 7406. 322 What is the highest common divisor of 5100 and 34? 34 Calculate the greatest common factor of 8242 and 182. 26 What is the highest common factor of 27 and 1728? 27 What is the highest common divisor of 5528 and 24? 8 What is the highest common divisor of 4047 and 57? 57 What is the highest common divisor of 2202 and 6? 6 Calculate the greatest common factor of 600 and 105. 15 What is the greatest common factor of 20 and 420? 20 What is the highest common factor of 39 and 572? 13 Calculate the greatest common divisor of 91 and 32851. 91 Calculate the highest common divisor of 30 and 2025. 15 Calculate the greatest common divisor of 105 and 195. 15 Calculate the greatest common factor of 2436 and 522. 174 What is the greatest common factor of 805 and 45? 5 What is the greatest common factor of 2336 and 32? 32 Calculate the highest common factor of 418 and 66. 22 What is the highest common divisor of 24 and 366? 6 What is the greatest common factor of 900 and 2880? 180 What is the greatest common divisor of 4674 and 114? 114 What is the greatest common factor of 600 and 1020? 60 What is the highest common factor of 10956 and 1162? 166 What is the greatest common factor of 284 and 2414? 142 What is the highest common divisor of 357 and 21? 21 What is the greatest common divisor of 525 and 63? 21 What is the highest common divisor of 258 and 102? 6 Calculate the highest common divisor of 8775 and 65. 65 Calculate the greatest common factor of 1030 and 50. 10 What is the greatest common factor of 115 and 2645? 115 Calculate the greatest common factor of 130 and 390. 130 What is the greatest common divisor of 26050 and 150? 50 Calculate the greatest common divisor of 76 and 248. 4 Calculate the greatest common factor of 5891 and 137. 137 What is the highest common divisor of 2 and 1198? 2 Calculate the greatest common divisor of 62 and 70. 2 What is the highest common divisor of 45 and 45? 45 Calculate the highest common divisor of 4 and 92. 4 What is the greatest common factor of 332 and 6059? 83 What is the greatest common factor of 2077 and 155? 31 What is the greatest common divisor of 28 and 364? 28 Calculate the greatest common factor of 899 and 87. 29 Calculate the greatest common factor of 105 and 6. 3 Calculate the highest common factor of 306 and 342. 18 Calculate the greatest common factor of 143 and 13. 13 What is the greatest common factor of 22 and 594? 22 Calculate the greatest common divisor of 88 and 64. 8 Calculate the highest common factor of 36 and 8. 4 Calculate the greatest common factor of 74 and 4. 2 What is the greatest common factor of 15521 and 187? 187 Calculate the greatest common divisor of 136 and 24. 8 What is the highest common factor of 7 and 602? 7 Calculate the greatest common factor of 22 and 4378. 22 Calculate the highest common factor of 14 and 455. 7 What is the greatest common factor of 30 and 18990? 30 What is the highest common factor of 30 and 6? 6 Calculate the greatest common factor of 36 and 15948. 36 What is the highest common factor of 264 and 72? 24 Calculate the highest common factor of 8051 and 97. 97 Calculate the highest common factor of 17 and 34. 17 What is the highest common factor of 31009 and 22? 11 What is the greatest common divisor of 69 and 391? 23 What is the greatest common divisor of 64 and 352? 32 What is the highest common divisor of 43 and 15007? 43 What is the greatest common factor of 72 and 144? 72 Calculate the highest common factor of 1140 and 30. 30 Calculate the highest common factor of 54 and 513. 27 What is the greatest common divisor of 47730 and 10? 10 What is the greatest common factor of 40 and 1980? 20 Calculate the highest common divisor of 106 and 2. 2 Calculate the highest common factor of 185 and 1887. 37 Calculate the highest common divisor of 621 and 54. 27 What is the greatest common factor of 60 and 435? 15 What is the greatest common divisor of 65 and 535? 5 What is the highest common divisor of 221 and 13039? 221 Calculate the greatest common factor of 21 and 917. 7 Calculate the greatest common divisor of 565 and 226. 113 What is the highest common divisor of 85 and 34? 17 What is the highest common factor of 15 and 55? 5 Calculate the greatest common factor of 6400 and 75. 25 Calculate the highest common factor of 32 and 10368. 32 What is the highest common divisor of 562 and 8? 2 Calculate the greatest common factor of 132 and 44. 44 Calculate the highest common divisor of 2226 and 8
{ "pile_set_name": "DM Mathematics" }
cond derivative of 1/20*o**5 + 9*o**2 + 1/3*o**4 + 1/2*o**3 + 0 - 20*o. Let m be d(-4). Determine l(m). 2 Let m(a) = -11*a - 12*a + 220 + 291 - 857 + 289. Give m(-3). 12 Let a = 372 + -520. Let n = a - -155. Let y(t) = 2*t - 5. What is y(n)? 9 Let x(k) be the second derivative of 1/6*k**4 - k**2 + 48*k + 1/6*k**3 + 0. Determine x(1). 1 Let n(b) = 2*b + 14. Let s(a) = -3*a**3 + 14*a**2 - 7*a + 16. Let v be s(6). Let y = v + 165. Calculate n(y). 4 Let p(x) = 25*x**2 + 48*x + 4*x**2 + 3 + 13*x**2 - 33*x**2. What is p(-5)? -12 Let f be -9 + 116*2/8. Suppose 4*k + f = 2*m, -97*m + 92*m + 2*k = -18. Let b(v) = -2*v**2 - 2*v + 2. Calculate b(m). -10 Let u be (1/(-2))/(7/70). Let q be 0 - (u + 2)*1. Let y(z) = q*z - 91 + 51 + 42 + 4*z**2 - 2*z**2 - z**3. What is y(3)? 2 Let b(p) be the first derivative of 9*p**2 - 27*p + 3141. Calculate b(1). -9 Let k(m) = -m**3 + 3*m**2 - 3*m + 3. Let d(g) = g**2 + 8*g + 10. Let t(i) = -5*i**2 - 2. Let u be t(1). Let b be d(u). Calculate k(b). -6 Let o(u) = u**3 - 19*u**2 - 11*u + 34. Let b be o(20). Suppose 3*g - 241 = -b. Let w(a) = -a + 13. What is w(g)? 4 Suppose 4*x - 5*t = 101, -11*x + 3*t = -12*x + 4. Suppose -7*c + 4*c + 5*y = x, c - 3*y = -13. Let l(a) = -6*a + 1. Calculate l(c). -11 Let g(t) = -t**2 + t. Let u(j) = -14*j**3 + j**2 - 2*j + 1. Let b(r) = -g(r) - u(r). Suppose -9*w - 500 = -509. Give b(w). 14 Let u(m) = 4 - m + 8 + 15 - 5*m - 8. Determine u(5). -11 Let t be 1/(676/135 - 5). Let h = t - 132. Let u(a) be the third derivative of a**6/120 - a**5/30 - a**4/12 + a**3/6 + a**2. Determine u(h). 4 Let f(v) be the second derivative of v**4/12 + v**3 - v**2/2 - 130*v - 2. Let g(a) = -4*a. Let j be g(2). Give f(j). 15 Let x(o) be the third derivative of o**5/60 + o**4/24 - 4*o**3 - 137*o**2 - 3. Calculate x(-6). 6 Let b(n) be the third derivative of -n**3 + 0*n + 0 - 1/40*n**5 - 1/6*n**4 + 33*n**2. Let l(g) be the first derivative of b(g). Give l(-7). 17 Let o(z) be the second derivative of z - 39/2*z**2 + 1/20*z**5 + 11/6*z**4 - 3 + 19/3*z**3. Let t be o(-20). Let c(u) = 5*u**3 + 2*u - 1. What is c(t)? 6 Suppose 17*m - 345 = -6*m. Let j(r) = r**3 - 16*r**2 + 14*r - 9. What is j(m)? -24 Let x = -65 + 70. Suppose 2*d - 4*v = -2*d + 56, 0 = x*d + 2*v - 42. Let f(y) = d - y**2 - 6 - 5*y + y**2 - 2*y**2. Give f(-4). -8 Let m(h) be the third derivative of h**5/60 + h**4/8 + 2*h**3/3 - 1982*h**2. What is m(-4)? 8 Suppose 17 = 3*b + 4*m, -94*m + 19 = 5*b - 92*m. Let v(y) = 10*y**3 + 3*y**2 - 3 - 19*y**3 + 8*y**3. Give v(b). -3 Suppose -z - 3*o - 9 = 0, 7 = -4*z - 2*o - 19. Let j(s) = -s**3 - 7*s**2 - 9*s - 1. What is j(z)? 17 Let w be 2/(-7) - 32/(-14). Let z = 2805 - 2801. Let g(k) = -k**3 + 876*k**2 + 3*k - 2 - z*k - 877*k**w. Determine g(-2). 4 Let h(y) = y**3 - 4*y**2 + 2*y - 1. Let g be 1/(5*4/80). Suppose -b + 4 = 11*s - 8*s, -g*b + 16 = -2*s. Give h(b). 7 Let s(x) = 943 + 793 + 69*x + x**3 - 14*x - 1632 - 58*x**2. Determine s(57). -10 Let i be (-12)/6*((-140)/8)/7. Suppose -i*x - 9 = -14. Let f(d) = d + 2. Give f(x). 3 Let b be 7/21*-33 - -15. Let f(p) = p**3 - 5*p**2 - 4. What is f(b)? -20 Let d(g) = 18*g**2 + 2*g - 1. Let v(c) = -96*c**3 - 2*c + 4. Let k be v(-2). Suppose k*s = 782*s - 6. What is d(s)? 19 Suppose -527*r + 324 = -545*r. Let u(l) = l**2 + 11*l - 120. Determine u(r). 6 Let r(q) be the first derivative of 2/3*q**3 - q + q**2 + 1/4*q**4 + 82. Give r(0). -1 Suppose 443*u - 438*u + 13 = 2*y, 4*u = -4*y - 100. Let s(k) = 7*k + 35. Let a(l) = 4*l + 18. Let g(b) = -5*a(b) + 3*s(b). Determine g(y). -1 Let y(p) = 0 + 0*p**2 - 1 + 7*p - p**2 - 7. Let z = 4150 + -4144. Calculate y(z). -2 Let r(x) be the third derivative of x**6/60 - 143*x**5/60 + 211*x**4/24 - 25*x**3/2 + 255*x**2 + 2*x - 3. What is r(70)? -5 Suppose 0 = -5*q - 4*h - 12, h - 6 = 4*q + 6*h. Let o(t) = -5*t - 3. Let n(y) = -6*y - 3. Let v(s) = 4*n(s) - 5*o(s). Give v(q). -1 Let y be (-36*4/80)/((-12)/(-80)). Let d(o) = 6*o + 44. Calculate d(y). -28 Suppose -36*w - 30 - 41 = 1. Let c(x) = -5*x**3 - 3*x**2 + 4. Calculate c(w). 32 Let v(q) = -q**2 - 20*q + 61. Let i be v(4). Let x = i + 32. Let k(p) be the first derivative of -2*p**3/3 - 2*p**2 + 1. What is k(x)? -6 Let n(v) = v - 12. Let x = -420 - -424. Suppose 10*s = 7*s - x*h + 15, 4*s = 3*h + 45. Give n(s). -3 Let d(r) = r**3 + 8*r**2 + 7*r + 3. Let p = -29 + 5. Let i be ((-36)/p)/(11/(-6) + 2). Let t(q) = -q**3 + 9*q**2 - 2*q + 11. Let m be t(i). Calculate d(m). 3 Let u(s) = 7*s**2 + 7*s - 33. Let a(y) = -11*y**2 - 10*y + 50. Let p(o) = 5*a(o) + 8*u(o). Let w be p(-8). Let l(h) = -h**3 - h**2 + h + 1. What is l(w)? -9 Let w(p) = -2*p + 2. Suppose 7*z = 5*q + 3*z - 30, -8 = q + 2*z. Let x be (-3)/6*-15*q. Let h be (-1)/(x/(-4) - -4). What is w(h)? 10 Suppose -10*k - 28 + 8 = 0. Let b(y) = 9*y - 23. Let v(w) = -w + 6. Let o(i) = -b(i) - 4*v(i). Calculate o(k). 9 Let i(z) be the first derivative of z**2/2 + 57*z + 3732. Give i(12). 69 Let k(r) = -r**2 - 26*r + 12. Let t be k(-26). Suppose -t = 27*n - 23*n. Let z(d) = d**2 - 2*d - 3. Calculate z(n). 12 Let c(z) = -13*z**2 + 1 + z - 2*z - 14 - 2*z**3 + 3 + 10*z**2. Calculate c(-3). 20 Let b be (248/6)/(6/9). Let h = 60 - b. Let v(k) = -k + 6. Let t be v(h). Let c(d) = -d**2 + 6*d + 6. Calculate c(t). -10 Let s(z) = -z**2 - 2*z - 1. Let y be 168/(-35)*(-10)/(-1). Suppose 2*x - 49 = 37. Let n = x + y. Determine s(n). -16 Let d(r) = 2*r + 0 - 2 + r. Let l be 215975/(-159) + (-2)/3. Let o = l - -1365. Determine d(o). 16 Let j(x) = 2*x + 3*x**3 + 7*x**3 + 2*x**3 - 2 - 4*x**3 - 31*x**3. Give j(1). -23 Let j(y) = -y**2 - 2*y - 1. Let p be j(-1). Let a(v) = p*v**3 + 9*v**2 - 19 - 8*v + 17 - 2*v + v**3. What is a(-10)? -2 Let s(r) be the third derivative of r**5/120 - 23*r**4/24 + 46*r**3 + 3*r**2 - 105. Let q(f) be the first derivative of s(f). Calculate q(13). -10 Let v(q) = 15*q - 4. Let f = 4600 + -4599. Determine v(f). 11 Suppose 2*a = i - 9124, 36486 = 9*i - 5*i + 2*a. Let x(t) = -10 - 6*t - 8*t**2 + i*t**3 + 14*t - 9123*t**3. Determine x(-9). -1 Let f(u) = -3*u**2 - 46*u + 13. Let v be f(-17). Let s = v - -61. Let l(i) = i + 17. Calculate l(s). 6 Let g = -196 + 201. Suppose 0 = -2*a - 2*y - 4, g*a = a - 2*y + 2. Let k(z) = 7 - 2 - 6 - z. Calculate k(a). -4 Let y(b) = -b**3 + 7*b**2 - 7*b + 9. Let l be y(6). Let s = -8 + l. Let h(r) = -6*r**3 + 6*r**2 + 129 + 6*r + 6*r**3 - 128 + r**3. Determine h(s). -4 Suppose -131*k - 310*k = -4410. Let j(o) = -o**3 + 11*o**2 - 11*o - 19. Calculate j(k). -29 Let g(w) be the third derivative of w**5/12 + 29*w**4/24 - 20*w**3/3 + w**2 + 11. Let u(x) = -3*x**2 - 15*x + 21. Let z(v) = -4*g(v) - 7*u(v). Give z(10). 3 Let k(d) = -1 + 3 - 3 + 6*d + 4. Let z(m) = 6*m + 2. Let a(w) = 2*k(w) - 3*z(w). Calculate a(-1). 6 Let p(l) = -l**2 + 12*l + 189. Let g be p(21). Let u(m) = 9*m - 4 - 7*m + g. Give u(-2). -8 Let m = -10 - -21. Let d(a) = m*a + 5*a - 2 + a**2 - 24*a + 7*a. Let c(i) = -i + 15. Let f be c(13). What is d(f)? 0 Suppose 3*a + 117 = -75*m + 70*m, -2*m - a = 46. Let j(y) = 14*y + 298. Calculate j(m). 4 Let v(z) be the second derivative of z**3/6 - 23*z**2/2 + 800*z. Give v(8). -15 Let r(c) = c - 2. Let f(l) = -19. Let b(h) = 3. Let g(u) = 6*b(u) + f(u). Let z(p) = -3*g(p) + r(p). What is z(10)? 11 Let z = 73 + -74. Let f = 1 - z. Suppose -f*u - 12 = -3*g, -3*u + g = 3*g + 31. Let v(w) = w**2 + 8*w. Calculate v(u). 9 Suppose 5*q + 19 + 31 = 3*l, -q = -3*l + 10. Let j be (1 - q/5) + -5. Let a(v) = -2*v**2 + 2 + v + 3*v + 1. Determine a(j). -13 Let m(o) = -341 + 57*o - 147*o + 34*o + 51*o + 48*o. Determine m(8). 3 Let a(k) = 4*k + 42. Suppose f = 4*f - h + 30, -2*h - 28 = 2*f. Let w be a(f). Let o(i) = 4*i**2 + 2*i - 2. Determine o(w). 10 Suppose 15*c + 6*c = 17*c + 4. Let a(u) = -15*u + 18. Determine a(c). 3 Suppose 0 = 4*o + 16, -o - 1 = -s - 2*o. Let c(m) = -3*m**2 + m**3 - 83*m + 85*m + 0 + 4. Let y(q) = -q**2 + q - 3. Let w(d) = -c(d) - 3*y(d). Determine w(s). 5 Let j(o) = -o + 3. Let t(v) = -7*v - 13*v + 70 + 25*v. Let h be t(-14). What is j(h)? 3 Let t(p) be the second derivative of p**3/2 + 5*p**2 + p + 239. Determine t(-6). -8 Let n = -51 + 46. Let g(q) = -3 + 0*q**2 + q**2 + 5 + 0*q - 4*q. Determine g(n). 47 Let o be (5/(-20))/((-3)/84). Suppose 3*l + 12 = 3*z, -2*l + o = 4*z - z. Suppose -z
{ "pile_set_name": "DM Mathematics" }
*q, 3*i - 4*q - 13 = 0. Determine h(i). -6 Let y(t) = t**2 + 205*t + 6 - 3 - 199*t. Determine y(-2). -5 Let y(u) = 0*u**3 + 6*u**2 + 2*u**3 - 3*u + 2 - 3*u**3. Calculate y(5). 12 Let q(t) = -10*t - 4. Let p(j) = -5*j - 2. Let g(m) = 5*p(m) - 3*q(m). Suppose 0 = l + 5 - 3. What is g(l)? -8 Let h(k) = 5*k - 2. Let w = 22 + -19. Give h(w). 13 Let h(m) = 2*m + 23*m**2 - 50*m**2 + 12*m**2 + 1. Calculate h(-1). -16 Let f = 15 - 7. Let s = -3 + f. Let y(i) = i**2 - 5*i - 2. What is y(s)? -2 Let l be 4/10 + 7/(-5). Let a(z) = -z**2 + 3*z**3 - z**2 - 3*z + 2*z. Calculate a(l). -4 Let v(h) = 8*h + 5. Let f(a) be the first derivative of -2*a**2 - 3*a + 1. Let p be (16/(-6))/((-2)/3). Let i(t) = p*v(t) + 7*f(t). Give i(1). 3 Let u(x) = 5*x - 1. Let p be u(1). Suppose -p*z - 21 + 2 = 5*t, -2*z - 4*t - 14 = 0. Let a(v) = 0*v + 2*v**2 + 0*v - 1 - 2*v. Determine a(z). 3 Let z(t) = 5*t**2 - 3*t**2 + 0*t**2. Let n(h) = -h**2 - 5*h + 4. Let j be n(-6). Let k be 1*j*(8 - 7). Determine z(k). 8 Let p be 2/(-12) - (-23)/(-6). Let z = p - -6. Let g(a) = a**3 - 5*a**2 + 2*a. What is g(z)? -8 Let s(i) = -i**3. Let y = 4 + -5. Determine s(y). 1 Let l(j) = j**2 - 7*j + 5. Let i be l(7). Let o(m) = -m**2 + 7*m - 6. Let h be o(6). Let g(r) = -2 - r**2 + 6*r + h*r - 1. Calculate g(i). 2 Let q = 1 + -7. Let b be ((-14)/q - 2)*9. Suppose -g - 8 = -b*g. Let r(v) = v - 7. Give r(g). -3 Let s be 7 + (-4 - (0 + -4)). Let i(y) = y**3 - 6*y**2 - 7*y + 1. Calculate i(s). 1 Let b(r) = -5*r - 1. Let z be b(-1). Let m(v) = 5*v**2 - v**3 + v + 1 - 4*v**2 + 5*v + z*v**2. Let c be m(6). Let l(k) = 5*k**2 - k. What is l(c)? 4 Suppose 3*n - 5 = 4*n. Let s(d) = -3*d - 1. Determine s(n). 14 Suppose g = 5*g - 8. Let l(x) = -x**2 + 4*x + 1. Calculate l(g). 5 Let n(h) = h + 14. Let d = 14 - 14. Calculate n(d). 14 Suppose -7*x + 24 = -3*x. Let f(z) = -z - 3. Let g(y) = y + 3. Let l(k) = 5*f(k) + 4*g(k). Calculate l(x). -9 Let n(l) = -l**3 + 6*l**2 + 8*l - 10. Let m be n(7). Let f(c) = 5*c. Let h(d) = 5*d + 1. Let y(q) = m*f(q) + 2*h(q). Calculate y(2). -8 Let j(k) = k**2 + 5*k + 2. Let a be 6/(-9) + (-20)/15. Let c(q) = -5*q**2 - 25*q - 11. Let y(f) = a*c(f) - 11*j(f). What is y(-4)? 4 Let o(l) = -3*l**2 - 2*l + 2. Let c(z) = 2*z + z**2 - 2*z + 3*z. Let x(t) = -t**2 - 2*t + 1. Let j be x(1). Let d be c(j). Determine o(d). -6 Suppose 4*n + 2 = 38. Let t = 4 - n. Let r be (t/(-15))/(2/30). Let s(p) = 2*p - 1. What is s(r)? 9 Let x(t) = -14*t**2 + 12*t + 2. Let u(a) = -5*a**2 + 4*a + 1. Let f(g) = -8*u(g) + 3*x(g). Give f(4). -18 Let y be (-6)/4 + 30/(-12). Let s be y/16 - (-1)/4. Let p(u) = -u**2 + u + 5. Determine p(s). 5 Let o(l) = 8 - 5*l + 5*l + l. Let j = 13 - 13. Suppose n - 21 = 5*n - a, j = -4*n - 5*a + 9. Calculate o(n). 4 Let u(k) = -k + 8 - 5 + 5 + 0*k. Calculate u(6). 2 Let g(x) = -2*x + 2*x**2 - 2*x**3 + 0*x**3 - 10*x**2 + x**3 + 8. Let z be g(-8). Let k(y) = 0*y**3 + z*y - y**3 - 24*y. What is k(-1)? 1 Let a be (-2)/7 + 32/14. Suppose 0 = 3*p + a*p - 5. Let w(d) be the first derivative of -d**4 - d**3/3 - d**2/2 + d + 33. Determine w(p). -5 Let f(q) = -13*q**2 + 13*q**2 - 4*q**2 + 2. Calculate f(2). -14 Suppose 3*l = 9 - 0. Suppose -15 = -3*i, -b - b = -2*i. Let z(v) = -b*v - v**3 - 5*v**2 + 3*v**2 + 2*v**3 + 4. What is z(l)? -2 Let h(c) be the second derivative of c**5/20 - 5*c**4/12 + c**3/3 - 7*c**2/2 - 2*c. Suppose d + 5 = 4*u + 10, -2*d = -2*u - 10. What is h(d)? 3 Suppose 5*u = -0*u - 25. Let w = -8 + 11. Let a(j) = -7*j + 4*j - w*j - j**2 - 1. Calculate a(u). 4 Let m(t) = -t. Let n(y) = 4*y + 2. Let l(i) = 5*m(i) + n(i). Let z(c) = -c + 1. Let x(j) = -4*l(j) + 5*z(j). Determine x(5). -8 Let a(p) be the second derivative of -p**3/2 - 7*p**2/2 + 4*p. Let t(c) = 2*c + 3. Let n(d) = -4*a(d) - 9*t(d). Let o be (1 - 0)/(-2 + 3). Give n(o). -5 Let c(g) be the second derivative of -g**4/12 + 7*g**3/6 - 9*g**2/2 + 7*g. Give c(6). -3 Let b(n) be the second derivative of n**4/24 - n**3/2 - 3*n**2/2 + 3*n. Let o(d) be the first derivative of b(d). Let f = 8 + -4. Calculate o(f). 1 Let r(y) = -y**3 + 2. Let v be 12/(-8) - (-4)/(-8). Calculate r(v). 10 Suppose z = 5*j - 0*z - 10, -3*j - 3*z + 6 = 0. Let g(i) = 2*i + 1. What is g(j)? 5 Let f(r) be the third derivative of -1/8*r**4 + 0 + 3*r**2 + 1/20*r**5 + 0*r - 4/3*r**3. Let s(x) = -x**2 + 2*x + 4. Let l(h) = 2*f(h) + 5*s(h). What is l(-5)? 9 Let h(z) = -z**3 - z**2 + z + 1. Let i(c) = 6*c**3 + 2*c**2 - c - 7. Let m(q) = -5*h(q) - i(q). Calculate m(3). -10 Let p(v) = -v**2 + 7. Let i(k) = -2*k**2 + k + 15. Let r(g) = -4*i(g) + 9*p(g). Suppose -12 = l + 2*l - 3*q, 0 = -3*l - 3*q - 18. Calculate r(l). -2 Let z(y) = -2*y**2 - 4*y. Let m be z(-3). Let w be ((-13)/39)/(2/m). Let g(k) = -9*k + 1. Calculate g(w). -8 Let j(i) = 2*i + 8. Let b(x) = -3*x - 9. Let o(z) = -3*b(z) - 4*j(z). Give o(7). 2 Let b(q) = -2*q - 3. Suppose 6*t - 4*x = 2*t - 12, -10 = 3*t - 2*x. Calculate b(t). 5 Let k(d) = 3*d**2 + 7*d - 13. Let f(a) = 2*a**2 + 4*a - 7. Let t(y) = -5*f(y) + 3*k(y). Give t(3). -10 Let b(l) = 0 + 3 + 2 + l - l**2. Determine b(4). -7 Let x be ((-3)/(-1) - 3) + 3. Let w be (9 + -1)/(6/x). Let s(q) = -2*q + 4. Give s(w). -4 Let p(s) = s**2 - 12*s + 9. Let q be (-6)/4*(-17 + 11). Give p(q). -18 Let r(k) = k - 5. Let u(s) = -2*s**2 - 23*s - 5. Let j be u(-11). Determine r(j). 1 Let f(k) be the first derivative of k**4/4 + 11*k + 11. Determine f(0). 11 Let h(p) = 3*p + 2. Let v be h(-2). Let a = -2 - v. Let z(x) be the third derivative of -x**4/12 + x**3/6 - x**2. Calculate z(a). -3 Let q be 57/5 - (-3)/5. Let k be (1 - 5)/((-8)/q). Let x(o) = -o - 3. Determine x(k). -9 Let q(o) = -o - 5*o**2 + 3*o**3 + 31 - 4*o**3 - 30. What is q(-5)? 6 Suppose 3*d = -0*d. Let y(k) be the first derivative of -k**2 + d*k**2 - 2*k**2 + 2 + k. Calculate y(-1). 7 Let c(w) = w**2 + 6*w + 1. Suppose 49 = -3*l + r, 2*l - 3*r = 5*l + 69. Let d be 10/45 + 94/l. What is c(d)? -4 Let n(r) = 11*r - 17. Let s(l) = -8 - 3*l + 9 + 7 - 2*l. Let t(m) = 3*n(m) + 7*s(m). What is t(4)? -3 Let j(z) = -z + 12. Let m be (10 - -2)/(2*1). Give j(m). 6 Let z(l) be the third derivative of -l**5/60 + 5*l**4/24 - 7*l**3/6 + 10*l**2. Suppose -3*b = -2*f + 49, -1 = f + 4*b + 2. Let j = f - 12. Determine z(j). -7 Let t(r) = -r**2 - r - 2. Suppose -2*f - 35 = -5*l, 7*f - 30 = 12*f - l. What is t(f)? -22 Suppose -4*w + 4 = -0. Let v(o) be the first derivative of -o**3/3 + o**2/2 + 2. Let x(r) = 7*r**3 + 4*r**2 - 6*r + 1. Let p(c) = -4*v(c) - x(c). What is p(w)? -6 Suppose 5*s - s = 4*o - 36, -3*o + 5*s + 37 = 0. Let h(u) = u**2 - 3*u + 6. Determine h(o). 10 Let x = -170 + 170. Let l(f) = f**3 - f**2 - f - 32. What is l(x)? -32 Let l(j) = -j**2 - 3*j - 5. Let c(i) = -2*i**3 - 4*i**2 - i - 2. Let z be c(-3). Suppose -k - z = 5*r - r, 3*k = 2*r - 1. Calculate l(r). -9 Let d be (1 - 1)/(2 - 0). Let g(b) = -b - 1. Let a be g(-3). Let p(f) = 5*f**2 - 4*f**2 + a*f - f. Determine p(d). 0 Let h be 9/6*(-4)/(-6). Let z(q) = -q + 0*q - h + 2*q. Give z(1). 0 Suppose b + u + 95 = 0, -b - 3*b - 375 = -u. Let f be (-6)/(-27) - b/(-18). Let z(s) = s**3 + 4*s**2 - 7*s - 2. Calculate z(f). 8 Let d(h) = 2*h + 4. Suppose 0 = -3*u - 3 - 9. Let m be d(u). Let i(w) = w**2 + 5*w + 3. Give i(m). -1 Let f(a) be the first derivative of -a**4/4 + 2*a**3 + 7*a**2/2 - 7*a + 11. Determine f(7). -7 Let c(o) = -o - 1. Let x = -4 - -7. Let r = x + -7. Calculate c(r). 3 Let b(a) = -a**2 + 8*a. Let j(l) = l**3 + 13*l**2 + 11*l - 5. Let r be j(-12). Give b(r). 7 Suppose 2 - 11 = -3*z. Let l(o) = 0*o**2 + o**z + o**2 - 4*o + 0*o**2 + 3*o**2. What is l(-5)? -5 Suppose -11 = -3*p + 4. Let f be 3/(2 - p)*3. Let n(i) = -i**2 - 3*i - 4 - 2*i - i. What is n(f)? 5 Let a(y) = 1. Suppose 0 = 3*p - 7*p - 20. Suppose 2*t + 9 - 7 = 0. Let f(j) = -j - 13. Let k(n) = p*a(n) + t*f(n). Calculate k(-4). 4 Suppose 3*t - 3 = 2*t. Let g = 6 - t. Let y(m) = -2 - 4*m**2 + m**3 + 5 + 0*m**g. What is y(3)? -6 Suppose 0 = 5*s - s + 16. Let o = s - -12. Let x(l) = -l**3 + 9*l**2 - 8*l - 3. What is x(o)? -3 Let k(l) = -l**2 - 2*l + 1. Let s = -14 + 16. What is k(s)? -7 Let b = -4 + 7. Suppose 5*o + 2*p - 20 = 0, -b*o - 2*p + 0*p + 16 = 0. Let a be o + -2 + 1 + 2. Let n(w) = -2*w**2 + 5*w - 2. Determine n(a). -5 Let a = 36 - 39. Let k(s) = -2*s - 2. Calculate k
{ "pile_set_name": "DM Mathematics" }
)/x**(-10/9) assuming x is positive. x**(134/153) Simplify ((u**(-2/3)/u)**(12/19))**(-20/13) assuming u is positive. u**(400/247) Simplify f*f**(4/7)*f*f/(f**(1/25)*f) assuming f is positive. f**(443/175) Simplify ((o/o**(2/7))/o)**(-35)*o**(5/2)*o*o*o*o**(-2)/o*o assuming o is positive. o**(27/2) Simplify (y**(1/3))**(-1/8) assuming y is positive. y**(-1/24) Simplify (o*o**(-1))**7 assuming o is positive. 1 Simplify (y*(y**(1/3)*y)/y)**(-1/18)/((y/(y/y**(-1/7)))/(((y/(y/y**(2/7)*y)*y)/y)/y)) assuming y is positive. y**(-311/189) Simplify ((b*b/((b/(b**0/b)*b)/b))/b*b*b**(1/5))**(-3/34) assuming b is positive. b**(-3/170) Simplify (u*(u/(u/(u*u**(1/4))*u))/u)/u**(2/61) assuming u is positive. u**(53/244) Simplify ((k**0)**(-1/7))**(2/69) assuming k is positive. 1 Simplify (a**4)**(-2/55) assuming a is positive. a**(-8/55) Simplify (w*w**0*w)**(-43)/(w**8/(w/(w**(1/13)/w))) assuming w is positive. w**(-1197/13) Simplify (m**(-15/7))**(2/77) assuming m is positive. m**(-30/539) Simplify (m**(-1/11)/m)**(6/11) assuming m is positive. m**(-72/121) Simplify (f/(f*f*f/(f**2/f)))**12 assuming f is positive. f**(-12) Simplify a/a**(-10/3)*a**(5/6) assuming a is positive. a**(31/6) Simplify i**(-6)*i*i*i*i*i/(i*i/(i**(2/3)/i)*i)*((i/(i*i/(i**3/i)))/i)/i**6 assuming i is positive. i**(-31/3) Simplify ((p**2)**(-31))**20 assuming p is positive. p**(-1240) Simplify w**(-11)/w*w*w**17 assuming w is positive. w**6 Simplify (y*y**2)**25/(y**(-8)*y/y**(-2/3)) assuming y is positive. y**(244/3) Simplify z**(5/3)*((z**10*z)/z)/z*(z**(2/13))**(-15/4) assuming z is positive. z**(787/78) Simplify (n**(-2/7))**(-24/13)*n*n/(n*n**(-2))*n/(n**(-1)*n) assuming n is positive. n**(412/91) Simplify (k**(-1))**(-11)/(k*k**1/k)**(-3/37) assuming k is positive. k**(410/37) Simplify (u**18)**(4/7) assuming u is positive. u**(72/7) Simplify (p**(2/3))**(3/16) assuming p is positive. p**(1/8) Simplify (((b**(-2)/b)/b)/b*b)/(b/((b/(b*b/((b/b**(-20))/b)*b*b))/b)) assuming b is positive. b**11 Simplify (v/(v/(v/((v**(-1/4)/v)/v))*v))**(-2/63)/(v*v**(-5)*v**(1/5)*v) assuming v is positive. v**(191/70) Simplify (x**(3/11)/x*x**(-3/11))**(1/25) assuming x is positive. x**(-1/25) Simplify (s**(4/5)/(s/s**(-1)))/(s**0)**(-48) assuming s is positive. s**(-6/5) Simplify ((z/(z/(z*z**(-2)*z*z*z)))**(-1/8))**(-10/3) assuming z is positive. z**(5/6) Simplify (l**(-4)*l*l/l**(-2/31))/(l**(1/9)*l/(l/(l/(l*l/(l/((l*l/l**(-8))/l*l))*l)))) assuming l is positive. l**(2498/279) Simplify t/(t*(t*t/t**(1/5))/t)*t*t**18*t*t assuming t is positive. t**(101/5) Simplify ((s*(s/s**(5/6)*s)/s)/s)**22 assuming s is positive. s**(11/3) Simplify (t*t**(-1/4))**31*(t*t/(t/(t**(-2/11)/t)))/(t*(t*t**(-1/3))/t*t) assuming t is positive. t**(2825/132) Simplify (i**8/(i/i**(2/17)))**(5/2) assuming i is positive. i**(605/34) Simplify (t**5/t*t)/t**(2/5)*(t*t/t**1)/(t/((t/t**(-6))/t)) assuming t is positive. t**(53/5) Simplify w/w**(-6)*w*w**(3/2)/w*w assuming w is positive. w**(19/2) Simplify h/h**3*h*(h/((h**9/h)/h))/h*h**(1/12)*h**(-5/2) assuming h is positive. h**(-125/12) Simplify (h**(3/8)*h)**(-10/9) assuming h is positive. h**(-55/36) Simplify f**7*(f*f**(-7))/f*((f*f/(f/f**(-1)*f))/f*f)/f**0 assuming f is positive. 1/f Simplify k**(2/11)*k**(-3/8) assuming k is positive. k**(-17/88) Simplify ((y*y/y**(1/8))/y*y**(-2/5))**(-10) assuming y is positive. y**(-19/4) Simplify ((q/(q**(-1/4)*q*q))**(-5/2))**(-2/55) assuming q is positive. q**(-3/44) Simplify (y/y**(2/31))/y**20 assuming y is positive. y**(-591/31) Simplify (h**12*h)**(-35) assuming h is positive. h**(-455) Simplify (s*s**(2/77)*s)**(2/9) assuming s is positive. s**(104/231) Simplify q**(1/2)*q*q*q**(-2/7)*q*(q**1)**(17/4) assuming q is positive. q**(209/28) Simplify (u/(u/(u*u*u/(u/u**(2/7)))))**(-1/20)*(u**0)**14 assuming u is positive. u**(-4/35) Simplify (d**1)**47 assuming d is positive. d**47 Simplify (i/(i/(i*i**(-9)*i)))**(-11/3) assuming i is positive. i**(77/3) Simplify (g/(g**(8/5)*g)*g*g**(6/7))**23 assuming g is positive. g**(207/35) Simplify o**(-2/55)*o**13*o assuming o is positive. o**(768/55) Simplify (w*w**(1/4))/(w/(w*w**(1/3))*w) assuming w is positive. w**(7/12) Simplify (s*s*s/(s*s**2)*(s*s/((s*s/((s*(s/((s**2/s*s)/s))/s)/s))/s)*s*s)/s)**17 assuming s is positive. s**17 Simplify (((h**1*h)/h)/h)**(-19)/(h**(-3/4)*h*h*h/(h/h**(3/2))) assuming h is positive. h**(-11/4) Simplify (u*u/(u/(u/((u*u*u/((u**(-2/7)*u)/u)*u)/u))*u))/(u**46/u) assuming u is positive. u**(-331/7) Simplify (o*o**2*o*o**5)**(1/39) assuming o is positive. o**(3/13) Simplify ((d*d**(-1/11))/d)**6 assuming d is positive. d**(-6/11) Simplify (k**(-14)*k)/(k*k**(-2/33)*k) assuming k is positive. k**(-493/33) Simplify (j*j**(5/6)*j)/(j**(-2/11)*j)*(j**(-7)/j)/(j*j/(j/(j/((j**(-2/19)/j)/j)*j))*j) assuming j is positive. j**(-15161/1254) Simplify c**(3/10)*(c/c**(1/32))/c assuming c is positive. c**(43/160) Simplify (z**(-4/17)/z)**(-1/36) assuming z is positive. z**(7/204) Simplify (h**4*h)/(h**0/h*h) assuming h is positive. h**5 Simplify x**(-3)*x**(-7/2) assuming x is positive. x**(-13/2) Simplify m**(-4/5)/(m/(m*m**(-4)/m*m)) assuming m is positive. m**(-24/5) Simplify (x**(-1/6))**34 assuming x is positive. x**(-17/3) Simplify ((j/(j*j/j**(-9/7)*j*j))/j)/j*j*j/(j/j**(-5))*j*j assuming j is positive. j**(-58/7) Simplify (i**(-1/5)*i**5)**(-4/19) assuming i is positive. i**(-96/95) Simplify p**(-18/5)*p**(-6) assuming p is positive. p**(-48/5) Simplify (m**(2/3)*m*m*m)**(-46)*(m/(m/(m/m**(-2/11))))**(9/8) assuming m is positive. m**(-44177/264) Simplify (q*(q*q**(-4))/q)/(q*q*q**(-6)*q*q*q)*(q*q**(-1/4))/(q/((q/q**(1/6))/q)) assuming q is positive. q**(-29/12) Simplify ((k/(k*k/(k*k**9)*k))/k*k**(-6))/((k**(-9)/k)/k**(-1/7)) assuming k is positive. k**(76/7) Simplify (q*q**0)**(-8/3)*q**(-2/13)/q**(-2) assuming q is positive. q**(-32/39) Simplify (m/m**25)**(-8) assuming m is positive. m**192 Simplify (p**(-9/7)/p*p/(p*p**(2/7)))**19 assuming p is positive. p**(-342/7) Simplify (t*t**18)/(((t/t**(-23))/t)/t) assuming t is positive. t**(-3) Simplify v**(1/4)*v**3*v*v*v**(2/7)/v**0 assuming v is positive. v**(155/28) Simplify ((l/l**(-17))/l)**(-13) assuming l is positive. l**(-221) Simplify (k**(-1/14)*k*k)/k**(2/21) assuming k is positive. k**(11/6) Simplify r/(r/r**(-5/3))*r*r/(r**(2/61)*r)*r assuming r is positive. r**(55/183) Simplify (o/(o*o**(-1/2))*o)**(-5/4)/((o*o**1*o)/o**(-2/3)) assuming o is positive. o**(-133/24) Simplify z**(1/3)/((z**(4/9)/z)/z)*(z**0)**(-28) assuming z is positive. z**(17/9) Simplify (q/(q*q**(-6)))/(q**(1/6)*q)*q**5/q**(-7/2) assuming q is positive. q**(40/3) Simplify (x**(2/7)/x)**(-1)*x*x*x*x**(2/13)/x*((x**(2/31)/x*x)/x)/x assuming x is positive. x**(2631/2821) Simplify ((i**3*i)/(i/((i**(-5)/i)/i)*i))**(-37/5) assuming i is positive. i**37 Simplify ((k**(-2/3)*k)**(-1))**(3/26) assuming k is positive. k**(-1/26) Simplify (((d/d**3)/d)/d*d)/d**11 assuming d is positive. d**(-14) Simplify ((h**(-1/2))**(14/9))**(-8) assuming h is positive. h**(56/9) Simplify (x**(-2))**5*x/x**(1/9)*x*x/(x*x*x**(2/7)) assuming x is positive. x**(-592/63) Simplify h/h**(-4/3)*h*h**(-4)*h**(2/7)/h*h**(-1) assuming h is positive. h**(-50/21) Simplify (u/u**3)/(u/(u*u**(-4)))*u**(-4)/u**(-7) assuming u is positive. u**(-3) Simplify (n/n**(-1/5)*n)/(n/(n/(n*n**(-3/5)))*n)*n**(1/2)/((n/n**(-4))/n) assuming n is positive. n**(-27/10) Simplify (j/(j/(j**(1/4)/j)))**(4/5)*(j*j**(1/2))**(2/7) assuming j is positive. j**(-6/35) Simplify (s**(3/10)/(s*s*s/s**(3/2)*s))**(-29) assuming s is positive. s**(319/5) Simplify l/l**(-1/13)*l**(-2/11) assuming l is positive. l**(128/143) Simplify (t/(t*t**(-2))*t**(-1)*t)/(t**2)**19 assuming t is positive. t**(-36) Simplify d**(-2/49)*d*((((d/(d/(d*d**(11/6))))/d)/d)/d)/d assuming d is positive. d**(-61/294) Simplify w/w**(-1/30)*w**16 assuming w is positive. w**(511/30) Simplify (y*y/(y*y/y**(1/2)))**(-13/2)/((y/y**5)/(((y*y*y*y*y**9*y)/y*y)/y)) assuming y is positive. y**(55/4) Simplify ((z/z**(-2/11)*z*z)/z)/(z**(-19)/z) assuming z is positive. z**(244/11) Simplify ((x*x**3*x)**(-4))**(1/3) assuming x is positive. x**(-20/3) Simplify (l*l**(-1))**(-37)/(l**(-1/11)*l*l*l**(-2/3)/l*l) assuming l is positive.
{ "pile_set_name": "DM Mathematics" }
= -4*i. Let l = i - u. What are the prime factors of l? 3, 13 Let v(w) = -2*w**2 + 3*w. Let y be v(4). Let z be 1 - 2/2*y. Suppose 12 = z*o - 18*o. List the prime factors of o. 2 Let k(v) = v**2 - 14*v + 5. Let x be k(9). Let q = x + 105. List the prime factors of q. 5, 13 List the prime factors of 5 - (8630/(-45) - 2/9). 197 Let v = 123 + -105. Let l(i) = i**3 - 18*i**2 + 40. What are the prime factors of l(v)? 2, 5 Let i = 5 + -5. Suppose l + i = -1. What are the prime factors of 16/((-4)/8 - l)? 2 Let j(u) be the third derivative of 7*u**4/24 + u**3/6 - u**2. Suppose 17*h - 5*h - 60 = 0. What are the prime factors of j(h)? 2, 3 Suppose 4*w = 2*b + 147 - 2649, 6195 = 5*b + 5*w. What are the prime factors of b? 11, 113 Let q(f) = 3*f**2 - f + 1. Let b be q(5). Suppose -b = -2*z + 119. What are the prime factors of z? 5, 19 Let x = 4 + -1. Suppose x*b - 5 = 7. Suppose b*p - 20 - 16 = 0. What are the prime factors of p? 3 Suppose 38*i - 1660 = 34*i. List the prime factors of i. 5, 83 Let i(k) = 3 + k**2 - 2*k**2 + 44*k - 4 - 35*k. Let h = -3 - -7. What are the prime factors of i(h)? 19 Let t = 11 + -9. Let k = 1 + t. Suppose -2*q + 32 = -5*n, -k*q + 138 = 2*q + 2*n. List the prime factors of q. 2, 13 Suppose -1 - 11 = -3*v. Suppose 0 = -5*o + 2*x + 4 + 20, -18 = -2*o - 2*x. What are the prime factors of o - 4 - v*-7? 2, 3, 5 Let t be -1 - (3 - (-4 - 49)). Let b be 1 + (-1 - t/3). Let m = b - 17. List the prime factors of m. 2 Let b = -984 + 3170. List the prime factors of b. 2, 1093 Let g(f) = 225*f + 7. Let b be g(2). Suppose 658 = 5*k - b. List the prime factors of k. 223 Suppose 16 = 3*c + c - h, -3*h = 3*c + 3. Let q be ((-12)/8)/(c/(-6)). Suppose 0 = -2*o + q + 5. List the prime factors of o. 2 Let r(t) = 2*t**2 - 33*t - 24. List the prime factors of r(18). 2, 3, 5 Let m(a) = a**3 + 4*a**2 - 9*a + 20. Let p be m(-6). Let g be ((-2)/6)/(1/(-6)). Let u = p + g. List the prime factors of u. 2 Suppose -9*n = -7*n + 2. Let h = n + 4. Suppose h*q = 77 + 61. What are the prime factors of q? 2, 23 Suppose h + 0*h - 3 = 0, 5*i + 4*h = 6202. What are the prime factors of i? 2, 619 Let v = 55 + -5. Suppose v = q - 27. List the prime factors of q. 7, 11 What are the prime factors of -244*12/96*-114? 3, 19, 61 Let f(q) = q**3 + 3*q**2 - q + 4. Let h be f(-3). Let x be 346/14 - (-2)/h. Let s = x + -9. List the prime factors of s. 2 Let q(g) = -g**3 - 9*g**2 - 9*g - 14. What are the prime factors of q(-11)? 3, 109 Suppose -281 = 2*h + 3*w, -h - 3*h - 551 = -5*w. Let r = -55 - h. What are the prime factors of r? 2, 3, 7 Suppose -408*y = -405*y - 1902. List the prime factors of y. 2, 317 Let k = 53 - 88. Let h be 1/(1/2) - k. Suppose -4*t + 273 - h = 0. List the prime factors of t. 59 Let f be (-5)/(4/(-1 - 3)). Suppose f*y - 180 = 120. What are the prime factors of y? 2, 3, 5 Suppose 4*n = 2*n + 4. Suppose 4*l = n*l - 18. Let o = l - -20. List the prime factors of o. 11 Let n be 2/(-6) + 170/6. Let t(i) = i**2 + 15*i + 16. Let j be t(-14). Suppose -3*c + 2*d + 64 = 0, -2*c + 14 = -j*d - n. What are the prime factors of c? 2, 11 Suppose -u - 28*s = -33*s - 685, -2*u + 4*s + 1364 = 0. List the prime factors of u. 2, 5, 17 Suppose 0 = -3*n + 5*f - 11, 5*n + 2*f = 18 + 5. What are the prime factors of (-114)/(-3) - 9/n? 5, 7 Suppose -4 = -10*x + 8*x. Suppose -a = p - 3*p - 5, -4*p + x = 2*a. Suppose -2*s + 10 = 0, 0*q - s = a*q - 158. List the prime factors of q. 3, 17 Suppose 0*m = 5*a - m + 2797, -4*m - 1132 = 2*a. List the prime factors of 1/(32/40 + 438/a). 2, 7 Suppose -5*i = -3*i - 5*v - 29, -2*v = 3*i - 91. Let b = -14 + i. List the prime factors of b. 13 List the prime factors of ((-1558)/(-57))/((-10)/(-1005)). 41, 67 Let t(p) = p**2 + 111*p + 598. List the prime factors of t(0). 2, 13, 23 Suppose -50*q = -56*q + 4872. What are the prime factors of q? 2, 7, 29 Let b(h) = -2*h**2 - 2*h + 4. Let c be b(11). Let i = c + 442. List the prime factors of i. 2, 7, 13 Let i = -295 - -132. Let t = i + 266. What are the prime factors of t? 103 Suppose d = -3*k + 27 + 211, -5*d + 1164 = 2*k. List the prime factors of d. 2, 29 Suppose -g + 7 = 3. Let q be (2 - g) + 5 - -3. Suppose q*t = -30 + 276. What are the prime factors of t? 41 Let t(m) be the first derivative of -m**3/3 + 8*m**2 + 3*m + 3. List the prime factors of t(11). 2, 29 Let h(a) = -15*a**3 + 2*a**2 + 7*a + 73. List the prime factors of h(-7). 23, 229 Let g = 2176 - -153. What are the prime factors of g? 17, 137 Let h be ((-5)/(-25))/((-3)/(-15)). What are the prime factors of h + (-2 - -7*3)? 2, 5 Let m be (-3 + (3 - -1))/1. Let i = m - -1. Suppose 3*a + d + d = 61, -5*a + 99 = i*d. List the prime factors of a. 19 Suppose 2*y = 5*j - 6890, -4*y - 5524 = 6*j - 10*j. What are the prime factors of j? 2, 43 Suppose -24261 - 25047 = -12*l. List the prime factors of l. 7, 587 Let u(w) = -w**3 - 5*w**2 - 4*w + 13. Suppose 0 = j + 3*j + 24. What are the prime factors of u(j)? 73 Let o = -1027 + 1771. List the prime factors of o. 2, 3, 31 Suppose 0 = -r + 5*r, 0 = 4*s - r + 12. What are the prime factors of s/(4 + (-1 - 2))*-19? 3, 19 Suppose w + w - 162 = -2*l, -5*w - 3*l + 403 = 0. Suppose 4*x = -1 + 1. Suppose 5*j - w - 80 = x. List the prime factors of j. 2 Let g(t) = t**3 - 13*t**2 + 12*t - 9. Let w(y) = y**2 - 2*y. Let u(k) = -g(k) - 3*w(k). Let r be -1 - ((-1 - -1) + -10). List the prime factors of u(r). 2, 3 Let w = 94 + -65. Suppose 27*z = w*z - 114. List the prime factors of z. 3, 19 Suppose 0 = -50*n - 19952 + 67002. What are the prime factors of n? 941 Suppose -30 = 3*b - 4*y, 4*b + 2*y + 50 = 10. Let l be 7/((-9)/b + -1). What are the prime factors of 15/(-10)*l/3? 5, 7 Let i = -14 - -16. Suppose v + q = i*v - 3, 0 = 4*v + q - 7. What are the prime factors of v? 2 Suppose 7*g - 4139 = 5661. List the prime factors of g. 2, 5, 7 Suppose 11*l + 1065 = 10*l. What are the prime factors of 2/((-436)/l + 20/(-50))? 3, 71 Suppose d = -2*s + 4, 0 = -2*d + 3*s - 2 - 18. Let g be (d - -3)*-4 + 12. What are the prime factors of ((-196)/g + 4)*-8? 2, 3, 11 Suppose 4*t + 36 = t - 3*k, 5*t + 60 = 3*k. Let v = t - 2. Let q = 18 - v. List the prime factors of q. 2 Let l be -2 + 6 + -3 + (3 - 1). Suppose l*i - 188 = i. List the prime factors of i. 2, 47 Let m(s) = s**2 - 4*s + 37. List the prime factors of m(7). 2, 29 Let l(u) = 6*u - 9 - 48*u + 10 + 22. Let v(c) = 105*c - 57. Let s(f) = -12*l(f) - 5*v(f). List the prime factors of s(-3). 2, 3 Suppose -863 = 22*j - 5967. What are the prime factors of j? 2, 29 Let p be 24*((-2)/6 + 1). What are the prime factors of 2/p*4*40? 2, 5 Let b(r) = 53*r**2 + 1. Let w be b(1). Let s = w - 25. List the prime factors of s. 29 Let c = -4496 - -6364. What are the prime factors of c? 2, 467 Suppose 2934 = 2*j - 3*i - 989, 0 = 3*j + 2*i - 5878. What are the prime factors of j? 2, 5, 7 Suppose -14 - 11 = -5*q. Suppose -5*z = -0 - q. Suppose 0 = f + 4*n - z - 1, 3*n = f - 9. What are the prime factors of f? 2, 3 Let z(a) = -a**3 + a**2. Let i be z(0). Let g(l) = 10 - 4*l + 0*l + 6*l - l. List the prime factors of g(i). 2, 5 Suppose 870 = 2*n - 4*x, -2*n = -7*n + 4*x + 2175. List the prime factors of n. 3, 5, 29 Let l = -38 + 102. Let n = l + -56. What are the prime factors of n? 2 Let m = -52 - -74. Suppose w - m = 22. List the prime factors of w. 2, 11 Let g(p) = 15*p + 427. What are the prime factors of g(0)? 7, 61 Suppose 3*s - 2 = -8. Let z(b) = -23*b**3 - b**2 - b. List the prime factors of z(s). 2, 7, 13 Let p(k) = -13*k**3 + 2*k**2 + 9*k - 3. List the prime factors of p(-3). 3, 113 Suppose 50320 = 16*y + y. List the prime factors of y. 2, 5, 37 Let m(u) = -u**3 - 3*u**2 + 6*u + 6. Let t be (-6)/4*-2 + 0. Suppose -t*g - 20 = g. List the prime factors of m(g). 2, 13 Suppose -4*m - 16 = -u + 42, -4*u - m = -164. Suppose -6*r + u = -1104. List the prime factors of r. 191 Let a be ((-6)/(-5 + -1))/(-1 - 0). Let b(i) = 155*i**2 - i + 1. List the prime factors of b(a). 157 Let x(w) = -w**3 + w**2 + w + 1. Let a(z) = -2*z + 3*z + 15*z**2 + z**3 - 3*z - 18*z**2 - 9. Let b(u) = a(u) + 2*x(u). What are the prime factors of b(-4)? 41 Suppose -2*y - 2*y = 4*m - 3212, 0 = -3*m - 2*y + 2409. List the prime factors of m. 11, 73 Let c(b) = -b**2 + 5*b - 2. Let z be c(4). Suppose 0 = -7
{ "pile_set_name": "DM Mathematics" }
(r). Suppose 1040 = z*y - 0*y. What is the tens digit of y? 0 Let p(k) = 9*k**2 - 35*k - 34. What is the units digit of p(7)? 2 Let l = -93 - -94. Suppose -4*x = r + 10, -x - 2 = r - l. Suppose -137 = -0*h - r*h + 5*i, 3*h - 5*i - 208 = 0. What is the units digit of h? 1 Let k(p) = 694*p**2 + 87*p - 457. What is the ten thousands digit of k(5)? 1 Suppose -364160 = 23*g - 454099 - 676053. What is the units digit of g? 4 Suppose -3*b + o = -8, -b - 3*b - 4*o = 0. Suppose k = b - 5, -2*k + 1884 = 5*j. Let s = -223 + j. What is the hundreds digit of s? 1 Let d be 4 + 69/(-18) + (-698)/12. Let v = -52 - d. Suppose v*x = 803 + 211. What is the hundreds digit of x? 1 Let a(d) = -11409*d + 215. What is the hundreds digit of a(-1)? 6 Suppose r - 4523 - 14149 = -5*t, -r + 5*t = -18682. What is the units digit of r? 7 Let q = 30437 + -12923. What is the ten thousands digit of q? 1 Let g(s) = -360*s + 2887. What is the ten thousands digit of g(-23)? 1 Suppose -2*t - 69*c - 24 = -66*c, -4*c - 2 = t. Let n(o) = -9 + 43 - 3*o - 2*o. What is the tens digit of n(t)? 2 Let k(c) = 69 - 52*c + 11*c - 8 + 60. What is the hundreds digit of k(-11)? 5 Suppose 0 = 5*n + 115*y - 113*y - 31773, y - 19063 = -3*n. What is the units digit of n? 3 Suppose 0*i + l = -4*i + 78, 5*i + 3*l = 94. What is the tens digit of ((-136)/(-10))/(i/600)? 0 Let m(y) = -y**2 + 29*y - 4. Suppose 7*f = f - 144. Let d = 3 - f. What is the tens digit of m(d)? 5 Let s be (76/(-6))/((-40)/(-8640)). What is the units digit of (-4)/26 + s/(-39)? 0 Let t(m) be the first derivative of -2*m**5/15 + 7*m**4/12 + m**3/3 + 23. Let y(c) be the third derivative of t(c). What is the units digit of y(-4)? 8 Let b = -1972 + 6403. What is the tens digit of b? 3 Let k(f) = -f**3 + f**2 + 7*f + 5. Let r = -31 - -23. Let u be k(r). What is the units digit of u/20 + (-2)/8? 6 Let r = 14334 + -3946. What is the thousands digit of r? 0 Let j(a) = 7*a**2 + 3*a + 7938. What is the units digit of j(0)? 8 Suppose 4*u - u - 5*s = 1635, 1089 = 2*u - 3*s. Let v = u + -255. What is the hundreds digit of v? 2 Let h(w) = -w**3 + w. Let c(r) = -5*r + 4*r - 6 + 4*r - 5*r**3. Let i(d) = -c(d) + 6*h(d). What is the units digit of i(0)? 6 Suppose 0 = 4*r + r + 3645. Let y = r - -796. What is the tens digit of y? 6 Suppose 136 + 98 = -6*z. Let y be 2 + 1*z + 1 + -3. What is the hundreds digit of (-927)/(-5) + y/(-65)? 1 Let o(i) = i**2 + 10*i + 1. Let w be o(-15). Suppose -93 - w = -x. Let g = -98 + x. What is the tens digit of g? 7 Suppose -1188 = 24*y - 38076. Suppose 5*b - h + 2*h - 2567 = 0, -3*b = -h - y. What is the tens digit of b? 1 Suppose 2*d - 69 - 171 = 0. Suppose -g - 50 = 31. Let q = g + d. What is the tens digit of q? 3 Let c be 1/10 - (-5 + 133674/(-60)). Suppose c = j + 644. What is the thousands digit of j? 1 Let v(x) = 328*x**3 + 2*x**2 - 17*x - 4. Let z(q) = -164*q**3 - q**2 + 9*q + 2. Let p(h) = -6*v(h) - 11*z(h). What is the tens digit of p(-1)? 6 Let c(y) = y**3 - y - 1. Let m = -32 + 31. Let n(u) = 4*u**3 + 9*u**2 + 13*u - 27. Let h(a) = m*n(a) + 5*c(a). What is the tens digit of h(11)? 6 Let x(a) = 2*a - 9. Let d be x(22). Let q be (-15)/(-4)*3 + d/(-140). What is the tens digit of (q + -15)/((-2)/36)? 7 Suppose -91*y + 470497 = -13259. What is the thousands digit of y? 5 Suppose 4*n + 58 = -n - 4*h, -5*n = -h + 48. Let a(y) = y**3 + 11*y**2 - 3*y + 3. What is the tens digit of a(n)? 3 Let s(r) = -917*r**3 + r**2 - 4*r - 5. Let t be s(-1). Let b(o) = -o**3 + 5*o**2 - 4*o. Let y be b(4). Suppose -h - 6*h + t = y. What is the units digit of h? 1 Suppose 0 = 3*x - h - 1611, -4*x + 2159 = -17*h + 12*h. Let w = x - -177. What is the tens digit of w? 1 Suppose -4*s - v + 16 = -2*s, 45 = 5*s + 5*v. Suppose 7 = -s*o - 140. What is the tens digit of (-8)/56 - 948/o? 4 Suppose -c - 3 = 0, 18*q + 3*c = 22*q - 41629. What is the tens digit of q? 0 Let d be 28*82/(-8)*2. Let s = 1067 + d. What is the tens digit of s? 9 Suppose -n = -j - 5683 + 60449, -3*j - 5*n + 164234 = 0. What is the thousands digit of j? 4 Suppose 4 = 2*y - 26. Let c(w) be the first derivative of -w**4/4 + 14*w**3/3 + 17*w**2/2 + 4*w - 204. What is the units digit of c(y)? 4 Let z(x) = 2*x**3 + 16*x**2 + 7*x + 8. Let k be z(-7). Let n = k + -57. Suppose 192 = 3*m - 0*m - 3*a, -a + 3 = n. What is the tens digit of m? 6 Suppose 0 = 4*d - 32, 62275 + 2719 = c - 3*d. What is the tens digit of c? 1 Let x(q) = 15*q + 153. Let h be x(-10). Suppose -4*k - 2*d = -1984, -h*d - 2*d - 2012 = -4*k. What is the tens digit of k? 9 Suppose -5*i - 8187 = -z, -98*z - 4*i + 41109 = -93*z. What is the thousands digit of z? 8 What is the thousands digit of 2 + -6 - (7/(-7))/(6/122556)? 0 Let l(q) be the second derivative of 21*q**5/4 + q**4/6 - 2*q**3/3 + 3*q**2/2 + 56*q. What is the hundreds digit of l(1)? 1 Let h = 47 - 42. Suppose 5*v = -25, 0 = 7*o - h*o + 3*v + 21. Let i(n) = 16*n**2 + n. What is the units digit of i(o)? 1 Suppose 30999 + 16423 = 4*h - 2*q, 2*q = -h + 11863. What is the thousands digit of h? 1 Let l(f) = 52*f + 7. Let w(p) = -26*p - 4. Let t(x) = 3*l(x) + 5*w(x). Let d(z) = -2*z**2 + 11*z + 393. Let g be d(17). What is the tens digit of t(g)? 5 Suppose 0 = -p - 17 + 13. What is the units digit of p - (-6 + 5 - 5)? 2 Let q = 712 + -710. What is the tens digit of (0 - q - 328)*56/(-21)? 8 Let y = -2475 - -3684. Suppose 0 = 3*m + 5*a - y, -5*m + 7*m + 4*a = 808. What is the hundreds digit of m? 3 Let r = 30286 + 6354. What is the hundreds digit of r? 6 Suppose 3*w - 43*p - 50913 = -44*p, 2*p - 84854 = -5*w. What is the thousands digit of w? 6 Let g(q) = q**2 + 36*q + 246. Let x be g(-9). Suppose 2*l = 2*z + 482, x*l + 4*z = 8*l - 1207. What is the units digit of l? 3 Suppose 5*r + 7 = -3*p, 0*p + 2*r + 2 = -p. Let h = p - -210. What is the tens digit of h? 0 Let f be (5/(75/12))/((-2)/(-5)). Let r(j) = -18*j**3 - 3*j**2 + 6*j - 3. Let b be r(f). Let v = -76 - b. What is the units digit of v? 1 Let i(o) = o**2 - 11*o - 2. Let l be i(9). What is the units digit of (-4635)/l*2 + (-1)/(-2)? 4 Let l(k) be the third derivative of 19*k**4/4 - 11*k**3/6 - 4*k**2 + 5. What is the hundreds digit of l(5)? 5 What is the units digit of ((-13773)/2 + 0)*1780/(-1335)? 2 Let d(x) = 7*x**2 + 195*x + 58. What is the hundreds digit of d(-29)? 2 Let p be (-3)/(-4) - 222/296. Suppose p = 98*v - 90*v - 3776. What is the units digit of v? 2 Suppose 4*q - 5*q = z - 25989, 5*q + 4*z - 129949 = 0. What is the thousands digit of q? 5 Suppose 31*d = 188756 + 1420101 - 316622. What is the hundreds digit of d? 6 Let t be 2 - ((-2 - 221) + -6). Let o = t + -226. What is the units digit of o? 5 What is the units digit of (2 + -5)*(-41610)/18? 5 Let n = 83 - 117. Let b be (-153)/n*(1 + 1). Let x(j) = -j**3 + 11*j**2 + 7*j - 17. What is the hundreds digit of x(b)? 2 Suppose -5*w = -5*r - 0 - 15, 4*r + 2*w + 6 = 0. Let b be (r/(-6))/(96/(-18) - -5). What is the units digit of (228 - b)/(6 - 1 - 4)? 9 What is the hundreds digit of (-55 + -2)*(-8470)/(-17 - -28)? 8 Suppose -9*f - 27*f + 202960 = 50*f. What is the units digit of f? 0 Suppose -2*i = -3*a + 44, -4*a - i = 2*i - 70. Suppose -a*r + 14394 - 4778 = 0. What is the units digit of r? 1 Suppose -2*z + 24 = z + 2*h, 4*z - 46 = 2*h. Let n(r) be the third derivative of r**5/60 - r**4/6 - r**3/3 + r**2. What is the units digit of n(z)? 8 Suppose -32*n - 1075845 = -57*n - 60*n. What is the units digit of n? 7 Suppose 34*n = m + 39*n - 112, 0 = -3*m + 3*n + 300. What is the hundreds digit of ((-1398)/(-4))/(m/272)? 9 Let h = -282 + -55. Let o = h + 878. What is the units digit of o? 1 Suppose -36*z + 99790 + 66413 - 32031 = 0. What is the units digit of z? 7 Let y(d) = 20*d**2 - 233*d - 217. What is the tens digit of y(40)? 6 Suppose 30808 = 2*m + 5*d, 6*m + 32*d - 29*d - 92424 = 0. What is the tens digit of m? 0 Let w = -77 + 85. Suppose w*k = 3*k + 25. Suppose k*d - 15 = 0, 0 = -3*o - o - 5*d + 367. What is the tens digit of o? 8 Suppose 1198709 = -117*u + 6879527. What is the ten thousands digit of u? 4 Let o = 16 - 14. Suppose 4*u + o*u - 54 = 0. Suppose -2*v = -3*p + u - 1, 10 = v + 2*p. What is the units digit of v? 2 Let j be (-5 - -4) + 805 + -3. Let x = j - 321. What is the units digit of x? 0 Suppose r - 1741 = -4*m, 4*r =
{ "pile_set_name": "DM Mathematics" }
7). 14 Calculate (-4 - -49) + 16 + -6 + -2 + -19. 34 10 + (-47 - (5 - -12 - 33)) -21 Evaluate 112 + -87 - (2 - (-2 - -4)). 25 Calculate 10 + -7 - 16 - 1 - -8. -6 What is 9 + (7 - 15) + (-4 - -5)? 2 Calculate (-17 - (33 - 37)) + (-5 - 4). -22 Calculate (13 - 15) + -22 + 4 + -5 + -6. -31 -2 - (64 + -34 - 16) -16 What is the value of (-4 + 2 - -14) + (1175 - 1159)? 28 Evaluate (-65 - -63) + -1 + -14 - (-2 - 2). -13 What is -2 + -6 - (7 + -2 - (2 + -16))? -27 Calculate 7 + -6 + -11 + 3 + 11. 4 Calculate (-29 - -12) + -10 + 55. 28 What is the value of -484 - -459 - (9 - 2)? -32 What is 14 + (1 + -1 - -6) + 7? 27 Evaluate 11 - (6 + (4 - 10)). 11 What is the value of (-7 - -2) + 4 + 1 - (-157 + 157)? 0 6 - 29 - -5 - (82 - 69) -31 Evaluate 3 + 6 - ((-30 - -30) + (2 - 3)). 10 5 - (-1 - (-12 + 2)) -4 What is the value of (4 + 5 - -5) + -18? -4 What is the value of -4 - (6 - (-8 - -1) - 1)? -16 (-4 - (7 - (-1 + -7 + 17))) + 6 4 (4 - -14) + 104 + -125 -3 What is the value of (-17 + -34 - -8) + 28? -15 (9 - -3) + 7 + -3 + -11 5 Calculate (2 - 6 - (-1 + 9)) + 2 + 5. -5 Evaluate 67 + -54 + -10 + 2. 5 What is the value of -2 - (12 + -3 - (-11 - -9 - -3))? -10 Calculate -15 - (-2 + -22 + 26). -17 116 + -110 + (-9 + -4 - 0) -7 What is 1 + (-6 - (-3 + 2)) + (-23 - -21)? -6 Evaluate 9 + -4 + 22 + -12. 15 What is (14 - (33 + -18)) + -16? -17 Evaluate 1 + (-55 + 71 - (2 - -42)). -27 Evaluate -22 + -106 + 110 + -5 + (-5 - -1). -27 What is the value of 1 + -8 - (26 + (-1 - (5 - -13)))? -14 Evaluate -4 - (0 + -10) - -15 - 8. 13 What is -3 + (3 + 9 - (10 + -8))? 7 Evaluate -17 + (6 - (-7 + -10)). 6 Evaluate 0 + (-1 - (-9 + 10)) - (17 + -2). -17 Calculate -2 - (-3 + (10 + -10 - 5)) - 18. -12 What is 5 + -6 + -4 + -5 + -2 + 5? -7 Calculate (3 - -7) + (2 - (5 + 2)). 5 What is the value of 6 + -6 + 1 + -2 + 0 + -6? -7 Evaluate (45 - 53) + 19 + -1. 10 What is -5 - (-9 - -3 - (-1 + -1)) - -10? 9 Calculate 10 - (29 + 1 - 24 - (0 + -1)). 3 Calculate (-6 - -11) + 0 - -9 - (7 + 0). 7 Evaluate 14 + -27 + 20 + -6. 1 What is (10 - (17 + 0 + -7 + 1)) + 22? 21 What is -5 - (-10 + -7 + -3)? 15 What is the value of -4 + (1 - -3) + (5 - (5 + 3))? -3 Calculate (-9 - -26) + (-13 - -14) - 53. -35 What is 0 - -6 - (179 + -189)? 16 What is (-2 + 19 - 3) + 33 + -37? 10 What is (4 - 26) + 23 + 1 + 9? 11 What is the value of (-2 - 28) + 3 + (-36 + 21 - -25)? -17 Calculate (8 - (-5 - -12)) + -2 + -8. -9 What is the value of (-2 - 5) + -1 + (-18 - (-6 - 12))? -8 What is the value of 0 + (-9 - -3 - (8 - 15)) - 4? -3 What is 12 + -5 + (5 - (1 + -8))? 19 Calculate 2 + (-1 - (7 + -12 - (0 - 3))). 3 What is (4 - 13 - -5) + 4 + (2 - 4)? -2 -6271 + 6266 + (18 + (-2 - -4) - -1) 16 What is the value of -7 + 7 + -17 + 9? -8 Evaluate -10 + 7 + 10 + (-7 - 14). -14 Evaluate 10 + (42 - 50) - ((2 - 3) + 5). -2 What is the value of (1 - 10) + -3 + 10 + (-24 - -12)? -14 Calculate -34 + (18 - (30 + -22)). -24 What is the value of (7 - 14) + -11 + -5 + 9? -14 -31 + (38 - (-41 + 23)) 25 (-1 - 2) + (-9 - (-13 - -1)) + 13 13 Calculate (13 - -5) + -5 + (3 - 5). 11 Calculate (-11 - (4 + -9)) + 7 + -5. -4 Calculate (-29 - -20) + 4 + 4 + 0. -1 What is 1 - (7 + -2) - (1584 - 1588)? 0 What is the value of -20 + 8 - (-13 - -7)? -6 What is the value of -33 + 9 + 22 + -29? -31 Calculate -58 - (-40 + 0) - -35. 17 Evaluate (28 - (-4 - (15 + -1))) + -13. 33 0 + 11 + (-4 - 36 - -31) 2 6 - (-4 + (-3 - -38)) -25 Evaluate -6 - (-20 + 16) - -11. 9 What is -17 - (-12 - 0 - (0 + (-47 - -27)))? -25 What is 1 - 3 - (-54 + 61)? -9 What is the value of 251 + -254 + (8 - (-1 - -2)) - -8? 12 (-16 - -16) + (-1 - 2 - (0 - -3)) -6 Evaluate (14 - 7 - 11) + 9. 5 Evaluate 207 + -200 - (-2 - (-8 - -1 - -2)). 4 Evaluate 14 - (6 + -4 + -3 + 8). 7 What is the value of 2 + 3 + 17 + 4 + -11 + -2? 13 Evaluate 4 - (4 - -19 - (-86 + 78)). -27 What is (-29 - (13 - 37)) + 1 + -1? -5 What is (11 - -5) + -1 + -12? 3 What is the value of 7 - (-4 - (4 - 0))? 15 -18 + (25 - 10) - (-3 + 1) -1 Evaluate 4 - ((-2 - -3) + (-7 - (-1 - 0))). 9 Calculate -8 + 15 + 11 + -6. 12 Calculate (-8 - (3 + -7 + -7)) + 7. 10 -32 - (-117 + 65) - (1 + 12) 7 What is the value of (4 - 6) + (-27 - -10) + 4? -15 Calculate -55 + 41 - (3 + -32). 15 What is -15 - (6 + -2 + 6 + -3)? -22 What is the value of 1 - 8 - (-21 + (-12 - -32))? -6 -2 + (8 - (21 + -10)) + 8 3 What is -13 + -9 + (3 - -25) - (18 + 1)? -13 What is the value of 2 + 0 + (2 - -1 - (-18 + 11))? 12 Calculate (11 - -4) + (-27 - -10) + 11. 9 Calculate -8 - (-5 - -10 - 2). -11 -10 + (-7 - (0 + (-22 - -7))) -2 -17 + 10 + 11 - -13 17 -7 + -10 + 60 + -26 17 -1 + -4 - -7 - (2 + 7) - 6 -13 What is the value of (-8 - -13) + (-3 - 10) + (-35 - -31)? -12 (5 - (8 + -3)) + 2 - (46 + -51) 7 What is the value of -17 + 51 + -29 + -4 - (1 + 3)? -3 What is the value of 8 - (-16 - ((-17 - -10 - 7) + 12))? 22 Calculate (1 - 7) + (-6 - -12 - 0). 0 Calculate (-4 - -23) + -63 + 50. 6 0 - (-7 + 16 + -8) - -2 1 Calculate -1 - (16 + -9 - 17). 9 What is the value of -9 - (4 + -7 + 9 + -12)? -3 What is the value of -12 - (20 + -11 - 23)? 2 What is -2 + 31 + -4 - 16? 9 What is the value of 35 + -7 + -11 + (-9 - -19)? 27 What is ((-4 - 2) + -1 - 0) + 11 + -10? -6 -17 + (21 - (-17 - -28)) -7 Calculate -4 - (-16 + 5) - ((-4 - -18) + -6). -1 (4 - 9) + 5 - 1 - 3 - -13 9 10 + (-1 - 3 - (97 + -89)) -2 (-5 + -6 - -12 - (2 + -1)) + -4 -4 22 + -4 + (-59 - -23) -18 What is the value of 2 - ((6 - 1) + -10) - 2 - 10? -5 Calculate (3 - 8) + -7 + -1. -13 What is the value of (3 - 42) + (41 - (33 - -3))? -34 20 - (15 + 16 + -7) -4 Calculate -260 + 264 - (0 - -18). -14 What is 18 - 13 - (8 - 3)? 0 What is (-10 - (-12 - -12)) + 15 + 4? 9 6 - 19 - ((26 - 13) + -20) -6 -1 + 1 - ((12 - 18) + 8) -2 What is the value of (-4 + 0 + (12 - 0) - 4) + 31? 35 What is the value of (-13 - (12 + -53 + 10)) + -1? 17 (7 - 9) + 0 + 8 + 5 - 6 5 What is 3 + -4 + 15 + (-2 - -3) + -5? 10 2 + (-15 - (-13 - -9)) -9 What is the value of 4 - (9 + (-14 - -16))? -7 -12 + 1 - (10 - 17 - 1) -3 Evaluate (-14 + 1 - 0) + (36 - (-41 + 72)). -8 Evaluate (13 - (26 - 1)) + 6. -6 (18 - 12) + (12 - 0 - 22) -4 -2 + 5 + -22 + 0 -19 Calculate -23 + 40 + (-22 - -16). 11 1 + -10 + 5 + 0 + 5 - 13 -12 What is the value of 15 + -3 + 14 + (-17 - 5)? 4 What is 17 + (10 - 36 - -11)? 2 0 + (-1 - 4) - (5 + 9) -19 Evaluate 1 - 8 - (-15 - (-8 + 22 + -25)). -3 What is 8 + -7 + -9 - -11? 3 What is -24 - (-16 - (-1 - -8) - -7)? -8 Calculate 6 + 0 + -16 - (-16 - -8). -2 (-26 - -17) + 13 + 2 + -3 3 Calculate 2 + 2 - (-1 + 19) - -15. 1 Calculate -22 + 15 - -15 - 22. -14 Calculate (-30 - -35 - 3) + -7 + 1. -4 Calculate 9 + -1 + (-61 - -75 - (24 - 2)). 0 Evaluate (23 - (0 + 19)) + -22. -18 What is (-13 - (-15 + 3)) + 1 + -9? -9 Evaluate -1 - 41 - (-25 - (31 - 53)). -39 Evaluate 6 - (-6 - -2 - -18). -8 What is the value of (1 - 0) + -14 - (108 - 109) - 8? -20 What is the value of 12 - ((7 - 3) + -37 + 35)? 10 Calculate -2 - (-17 + (9 - 4) + -3). 13 Evaluate (-1 - (2 - 15)) + 1 + -12. 1 Calculate (-21 - -2) + (9 - ((14 - 2) + -3)). -19 Calculate (-100 - -50) + -30 + 41. -39 What is -8 + (-4 - -11) + (-14 - (-12 - -3))? -6 27 - ((-43 - -17) + 40) 13 What is -1 + 12 + -52 + 33? -8 Evaluate (2 - 25) + (-119 - -147). 5 What is -16 + (-11 - -9 - 8) + 17? -9 (239 - 237) + -2 + -12 -12 -4 - (15 - (-1 - -8) - -7 - 6) -13 (-2 - (-18 - -6)) + -4 + 10 16 Evaluate -3 + -10 - -10 - (12 - -18). -33 Calculate -8 + (26 - (12 + 6)). 0 What is the value of 0 + 4 + (15 - (24 + 0))? -5 Evaluate -6 + (13 - -2) + -5 + -1 + 11. 14 Calculate 17 + 5 + -26 + -6. -10 What is 5 + -1 - (-3 + -1 + 6) - 3? -1 What is the value of 5 + (12 - (7 + 10)) + 18 + 5? 23 Evaluate 184 + -162 - (7 + (1 - 3)). 17 Evaluate 4 + (79 + -61 - (3 + -2)). 21 What is the value of -13 + -18 + 13 + 8 + -11? -21 What is 0 + (27 - 33) - 14? -20 20 - ((-20 - 9) + 70) -21 (-7 + 7 - -9 - -1) + -36 -26 What is (-17 - 7) + (5 - (-12 - -4))? -11 What is the value of (27 + -14 + -1 - 18) + -6? -12 Evaluate -2 - -16 - (-122 + 146). -10 What is the value of (3 - -1) + (16 - (-22 - -39))? 3 Calculate 3 + (10 - (-3 + 6)) + -13. -3 What is the value of 16 + (-1 - 0) + (4 - (74 - 65))? 10 Calculate -5 + (-2 - -11) + -8 + -2. -6 What is (-6 - -1) + 81 + -91? -15 -10 + 1 + (38 - 39) -10 -23 + (17 -
{ "pile_set_name": "DM Mathematics" }
-64 + 106. Let c = 51 - y. Solve 2*j - c = 5*j for j. -3 Let w = 130 - 90. Let h be 1/((4 + -9)/w). Let a be ((-1)/(-2))/(h/(-96)). Solve -2 = 4*x - a for x. 1 Let q(l) = l**3 + 11*l**2 + 8*l - 13. Let t be q(-10). Let z = 4 + -5. Let h = t + z. Solve -4*a + a + h = 0 for a. 2 Let s = 0 + -5. Let z = 8 + s. Solve i = -1 - z for i. -4 Let q(u) be the third derivative of u**4/6 + u**2. Let a be q(-3). Let w = a + 24. Solve 7*x - w = 4*x for x. 4 Let v = 68 + -72. Let p be (-2)/v*(37 + 3). Solve 3*m + p = -2*m for m. -4 Let t be 48/(-5 + (-3 - -7)). Let l be (t/30)/(64/(-20) + 3). Solve l + 2 = 2*z for z. 5 Suppose 4*k - 3*f = -1, -4*f + 5*f - 3 = 0. Suppose 30 = k*b + 14. Solve 2 = -3*l + b for l. 2 Suppose -150 = -3*g - 4*h + 8*h, h + 49 = g. Let c = -42 + g. Solve -c*i - 25 = i for i. -5 Let d be (0/(-22))/((-2)/2). Suppose 3*c + 0 = 6. Suppose c*f + 2 = -2*r - 0*r, r - 8 = -4*f. Solve d = -f*x - x - 20 for x. -5 Let m(h) = -3*h + 11. Let i be m(2). Suppose 4*j - 16 = -3*y - y, -i = 5*j. Let x be (-5 + 5)/(0 - 1). Solve x = y*t - 4 - 21 for t. 5 Suppose 3*k = -2*r - 2*r - 3, -k = -r - 6. Let c(z) = z**2 - 3*z + 4. Let d be c(k). Solve 0*i + 20 = -d*i for i. -5 Let l = -22 - -10. Let b = l + 12. Solve b = n - 2 - 1 for n. 3 Suppose 6*g + 5*r - 2 = 2*g, -3*r = -5*g + 21. Solve -g*t + 10 - 7 = 0 for t. 1 Let f(s) = -s**3 - 5*s**2 - s - 2. Let k be f(-5). Let c(d) = -30*d - 117. Let x be c(-4). Solve -x = -k*r + 6*r for r. -1 Suppose v = 5*n - 5, -13 = 5*v + 2*n - 15. Solve 0 = -17*r - v for r. 0 Suppose 0 = 2*q + 2, 0 = 5*g - 5*q - 5. Suppose -p = 3*k + p, -2*k - 2*p = g. Solve u + 3 = -k*u for u. -3 Let w(l) = l**3 - 13*l**2 + 13*l - 1. Suppose 0 = -6*q + q + 60. Let x be w(q). Let b = -16 + 21. Solve -4*r - x = b for r. -4 Let u = 5 - 4. Let g(s) = -48 + 94 - 53 + 4*s**2 - 7*s + s**3. Let h be g(-5). Solve 4*q + u = h*q for q. -1 Let v = 49 + -74. Let u = 25 + v. Solve -h + 5 + 0 = u for h. 5 Suppose -f - 206 + 80 = 0. Let j = 130 + f. Solve 15*n - 19*n + j = 0 for n. 1 Let s be -1 + 4 - 333/(-37). Solve -3*c + 9 = -s*c for c. -1 Let a be 8*1*27/(27/14). Solve 0 = -8*m - 104 + a for m. 1 Let l = 9 - -3. Let r(j) = -j**3 - 8*j**2 + 6*j - 7. Let k be r(-9). Suppose 6*w - w - 23 = 4*b, -4*w + 4*b = -k. Solve -l = w*i - 0*i for i. -4 Suppose 11*z = -160 - 236. Let b be z/30*(-40)/12. Solve b*x - 3 = 1 for x. 1 Suppose -4*c + 6*c = 4*d + 16, 3*c = 12. Let s be 1/(6/2 + d). Let w(m) = 2*m**3 - m**2 + 1. Let t be w(s). Solve 0 = t*j - 5*j + 3 for j. 1 Let m(c) = c**2 - 4*c. Let v be m(5). Suppose -2*x + v*x - 21 = 0. Suppose -x*d = -2*d. Solve -3*g - 1 + 4 = d for g. 1 Let y = 72 + -72. Solve y*g - 8 = 2*g for g. -4 Let z be 10/(-2) - 180/(-18). Let b be 13/z - 2/(-5). Solve -b*u - 8 = -2 for u. -2 Let a(g) = 4 + g**2 + 2*g**3 - 6*g - g**3 + 6*g. Let f be a(-2). Solve f = -w + 5*w - 16 for w. 4 Suppose 4*h = 2*t - 6*t + 12, 5*t = -3*h + 9. Solve t = -3*y - 2 + 8 for y. 2 Suppose 14 = 2*t + 3*f - 6*f, 0 = -3*t - 3*f + 6. Let v be (-46)/(-4) - 3/2. Suppose -6*b = 5*n - 2*b - 11, 2*b + 5 = n. Solve n*z + v = t for z. -2 Let j(p) = p**3 + 12*p**2 + 10*p - 6. Let x be j(-11). Let i(y) = 46*y + 4. Let k be i(-4). Let u be ((-4)/x)/(8/k). Solve 0 = -5*a - 2 - u for a. -4 Let q be (10/6)/(20/24). Let p(g) = 6*g + 2. Let j be p(q). Suppose j = l + 7. Solve -4*w = -l - 9 for w. 4 Let i(m) = m**2 + 5*m - 3. Let g be i(-6). Let f = 8 + 32. Suppose -2*j = -4*j + f. Solve -g*c - 2*c = j for c. -4 Let c be (-6)/(-4)*(-240)/(-45). Solve c*h = 3*h + 8*h for h. 0 Let r = 701 + -695. Solve 12*m - 42 = -r for m. 3 Let g = -8 + 12. Suppose 2*r = -2*t + r + 26, 5*r = g*t - 80. Let l = t - 15. Solve 10 = -2*o - l*o for o. -5 Suppose 5*p = 2*p. Let n be (p/3)/(2/(-1)). Solve n = -6*b + b for b. 0 Let h(a) = -a**3 + 18*a**2 + 3*a - 49. Let f be h(18). Solve -f*s - 11 = 9 for s. -4 Let x = -2 - -16. Suppose 3*z = -x + 20. Solve z*m + 12 = 2 for m. -5 Suppose 6 = -2*w - 5*s + 7*s, -3*w + 15 = 3*s. Solve -9 = -2*n + w for n. 5 Let u be (6 - 1 - 1)/((-4)/(-8)). Solve 0 = -3*q + q + u for q. 4 Let j = 13 - 11. Let i = 3 + j. Let g = -1 + i. Solve -12 + 4 = -g*q for q. 2 Suppose 67*p = 23*p + 484. Solve -2*a = -p + 21 for a. -5 Let r = -56 - -62. Let x be -2 - (-3)/((-3)/(-2)). Solve r = -x*l - 3*l for l. -2 Let v be 94/6 + 28/21. Solve 21*c + 8 = v*c for c. -2 Let d = -8 - -27. Let x = -14 + d. Suppose -v + x*v - 12 = 0. Solve 0 = -v*g + g - 2 for g. -1 Let k = 169 + -164. Solve 0 = 2*s - 7*s + k for s. 1 Suppose 13*o = 16*o - 12. Solve -5 = 3*c + o for c. -3 Let y(p) = p**2 - 14*p + 16. Let b be y(13). Let l be (-19)/(-7) - 4/(-14). Let n = 1 + l. Solve n*v - 11 + b = 0 for v. 2 Suppose 6*z - 4*z - 3*t + 225 = 0, -5*z - 4*t - 528 = 0. Let b = 108 + z. Suppose 0*k + 3*k = 0. Solve -q - 3 + k = b for q. -3 Suppose 0 = 19*q - 18*q - 24. Suppose -2*j + q = -s, 2*j - 3*s + 1 = 21. Solve j + 2 = -3*x for x. -5 Let o be 1/((1 + -2)/(-22)). Let g = o - 12. Solve -5*s = -g + 25 for s. -3 Suppose -5*u + 15 = 4*z - 42, -5*z + 33 = 2*u. Let s(o) = 37*o - 44*o - 4 + o**2 - 10. Let f be s(u). Solve 0 + f = 4*i for i. 1 Let o be -4*5/(-15) + (-56)/6 + 8. Let s be 2/3 + 2/6. Solve z = -o*z + s for z. 1 Let v be 22/5 - 3/15*2. Let h(i) = i**3 - 5*i**2 - 7*i + 6. Let x be h(6). Suppose x = c + v*c. Solve -3*k + 6*k - 15 = c for k. 5 Let d be (24/(-3) + 2)/(-1). Let q = -4 + d. Suppose 0 = 2*n - 4 + q. Solve -n = u + 2 for u. -3 Let q(v) be the first derivative of 2*v**3/3 + 5*v**2/2 + 4*v - 17. Let k be q(-2). Solve -2*w = k*w + 4 for w. -1 Let i = -17 - -22. Let n be -1 + -2 + i + 7. Let q = -1 + n. Solve q*p + 15 = 3*p for p. -3 Let k = -8 - -13. Suppose 0 = -k*x + 9 - 9. Solve x = -0*t + 4*t for t. 0 Let w(h) = 38*h - 3. Let d be w(1). Solve d = -g + 32 for g. -3 Let b(z) = -46*z - z**2 - 5 + 21*z + 16*z. Let n be b(-11). Let d = 27 + n. Solve 3*q + d*q + 6 = 0 for q. -2 Let q = 1 + 15. Suppose -5*w - 3*f = -18, -4*f = 5*w - w - q. Solve -2*x + 1 + w = 0 for x. 2 Suppose -90 = -4*b - 2*z, -3*b - z + 38 = -31. Solve 0 = -b*u + 25*u + 2 for u. -2 Let o be -3*2*320/(-120). Solve d + o = 15 for d. -1 Suppose 4*u + 5*r + 4 + 0 = 0, 16 = 5*u + r. Let l(z) = z**3 + 3*z**2 + z + 3. Let a be l(-3). Let s = 0 + a. Solve u*j - j = s for j. 0 Suppose -33*i + 10 = -31*i. Solve i*y + 1 = 6 for y. 1 Let u = -14 + 32. Suppose k - u = -k. Let w be (-33)/(-9) + 0 + 1/3. Solve 5 = w*z - k*z for z. -1 Let l(o) = -o**2 + 52*o - 530. Let t be l(38). Solve t*y = 25*y + 69 for y. -3 Let h = 2 - 1. Let i = 114 + -92. Let v be 8/(-3)*(4 + i/(-4)). Solve -v*y + 11 = -h for y. 3 Let t = -14 - -19. Suppose -t*f + 25 = -20. Suppose 5*x + 3*k - f = 0, -4*x + 7*k - 12 = 3*k. Solve x = 7*r - 2*r + 10 for r. -2 Let l = 0 - 0. Suppose -3*v - 2*v - 10 = 0. Let a be l + v - 18/(-9). Solve a = 2*t + 3 - 1 for t. -1 Suppose 3*p = -0*p + b + 2, -4*b - 8 = -4*p. Suppose 2 = 3*f + 2*s, 3*s + 2 = -2*f - p*f. Suppose 0 = o - f*o. Solve o = 8*j - 4*j + 20 for j. -5 Let f(z) = z**3 + 6*z**2 + 4*z. Let c be -5 + 0 + 0 + 0. Let w be f(c). Suppose -4*t = 5*i, -2*t = w*i - 2*i. Solve i*o = o for o. 0 Suppose -26 = -41*c + 15. Solve -17*v + 16*v + c = 0 for v. 1 Let v = -9 + 14. Suppose -v*b + 0*b = -10. Suppose l + 3*w = 1 + 10, l + b*w = 8. Solve -m - 3 = -l*m for m. 3 Suppose 0 = 64*f - 69*f - 105. Let z(n) = -n**3 - 22*n**2 - 21*n + 2. Let c be z(f). Solve 2 - 8 = -c*w for w. 3 Let f = 6 + 1. Suppose 0*t = t + f. Let q = t + 10. Solve -2*o - 3 = -q*o for o. 3 Suppose 3 = -16*j + 19*j. Let p be (3/9)/(3*j/72). Solve d + p = -d for d. -4 Let u be (40 - -2)/2*9. Let f be (4 - (u/(-6))/(-7))*-10. Solve -3*t = -4*t + f for t. 5 Suppose -25*g + 39 = -86. Solve 11 - 1 = -g*f for f. -2 Let z = 62 - 104. Let w be (-2)/4 + (-105)/z. Solve -w*a + 9 = a for a. 3 Suppose 275*c - 301*c = -130. Solve -c + 0 = -5*b for b. 1 Let n = 1108 + -1104. Solve 3 = -n*x + 7 for x. 1 Let k(h) be the second derivative of -1/2*h**3 + 0 - 3*h + 0*h**2. Let n be k(-1). Solve m = n*m for m. 0 Let v(k) = k + 5. Let i be v(-8). Let h = 1 + i. Let x be 2 + h + -5 + 7. Solve n = -x*n + 3 for n. 1 Suppose 0 = 9*c + 3585 - 3747. Solve c = 6*v + 48 for v. -5 Let y = -1 - -6. Let c be (-42)/4*16/(-24). Solve -y*t = -c - 8 for t. 3 Let x = -139 - -143. Let t be 11 + 5/(10/(-4
{ "pile_set_name": "DM Mathematics" }
, -7518? -10820 What is the next term in -76866, -76864, -76860, -76854, -76846, -76836, -76824? -76810 What is the next term in -114286, -228535, -342782, -457027, -571270, -685511, -799750? -913987 What is the next term in 16026877, 16026876, 16026875? 16026874 What comes next: -8606, -17235, -25876, -34523, -43170, -51811? -60440 What is the next term in -1015, -406, 203, 812? 1421 What is next in -1, 26, 89, 206, 395? 674 What comes next: -135, -173, -213, -255, -299, -345, -393? -443 What comes next: -39944, -39950, -39958, -39968, -39980, -39994, -40010? -40028 What comes next: 305830, 305834, 305838, 305842? 305846 What comes next: 42, 95, 138, 165, 170, 147, 90, -7? -150 What is next in 102, -68, -362, -786, -1346, -2048, -2898, -3902? -5066 What is next in -57184, -114441, -171696, -228949, -286200, -343449? -400696 What is the next term in 5092, 5100, 5108, 5116? 5124 What is next in 9193, 36808, 82843, 147298, 230173? 331468 What is the next term in 106, 468, 1070, 1912, 2994, 4316? 5878 What is the next term in 298, 491, 808, 1243, 1790, 2443, 3196? 4043 What is the next term in -60, -449, -1482, -3477, -6752? -11625 What comes next: 1070, 1371, 1674, 1979, 2286? 2595 What comes next: 1399, 1613, 1969, 2467, 3107, 3889, 4813? 5879 What comes next: 75885, 75880, 75875? 75870 What is next in 54227, 54242, 54261, 54284, 54311, 54342? 54377 What is the next term in -1781, -712, 1063, 3538, 6707, 10564, 15103, 20318? 26203 What is next in 8313, 8304, 8295, 8286, 8277, 8268? 8259 What is the next term in 3221737, 6443477, 9665217, 12886957, 16108697, 19330437? 22552177 What is the next term in -1079775, -1079776, -1079777, -1079778, -1079779, -1079780? -1079781 What is the next term in 1622, 6488, 14600, 25958, 40562, 58412, 79508? 103850 What is next in 41892, 41890, 41884, 41874, 41860, 41842? 41820 What comes next: -622, -1209, -1796, -2383? -2970 What is next in -143554, -287124, -430694, -574264, -717834, -861404? -1004974 What is next in 2058, 7709, 17126, 30309, 47258? 67973 What is next in 59, 281, 861, 1979, 3815, 6549, 10361? 15431 What is the next term in -135145, -135141, -135137, -135133, -135129, -135125? -135121 What is next in 256, 470, 672, 862? 1040 What is the next term in -16114, -32221, -48328, -64435, -80542? -96649 What comes next: -133729, -133732, -133737, -133744, -133753, -133764? -133777 What is next in 16, 0, -48, -128, -240? -384 What is the next term in -693, -785, -877, -969, -1061, -1153? -1245 What is next in -1737, -3411, -5045, -6639, -8193, -9707? -11181 What comes next: -24537, -49073, -73609, -98145, -122681? -147217 What comes next: -1050, -1063, -1078, -1095, -1114, -1135? -1158 What comes next: 203238, 203237, 203236, 203235, 203234, 203233? 203232 What is the next term in -2882, -9229, -26460, -60017, -115342, -197877, -313064, -466345? -663162 What is the next term in -36691, -73390, -110101, -146830, -183583? -220366 What comes next: -76160, -152300, -228440? -304580 What comes next: 15040, 30092, 45144, 60196? 75248 What is the next term in -393143, -786285, -1179425, -1572563? -1965699 What comes next: 57, 232, 609, 1290, 2377, 3972, 6177, 9094? 12825 What is next in 706, 1374, 1982, 2500, 2898? 3146 What is next in 40, 215, 674, 1555, 2996? 5135 What comes next: -71644, -71640, -71634, -71626, -71616, -71604? -71590 What comes next: 258300, 258308, 258322, 258342? 258368 What comes next: 784875, 1569747, 2354619, 3139491, 3924363, 4709235? 5494107 What comes next: 17455, 17486, 17517? 17548 What is the next term in 737, 1129, 1519, 1907, 2293, 2677, 3059? 3439 What is the next term in -4080, -4071, -4056, -4035, -4008? -3975 What is next in 1983, 2133, 2283? 2433 What is the next term in 10, 34, 62, 94, 130? 170 What is next in 1008, 1545, 2082? 2619 What comes next: 2368, 2377, 2388, 2401, 2416, 2433, 2452? 2473 What is next in -3036, -24567, -83010, -196821, -384456, -664371, -1055022, -1574865? -2242356 What comes next: -220, -124, -26, 74, 176, 280? 386 What is the next term in -240, -493, -834, -1293, -1900, -2685, -3678? -4909 What is next in 714785, 1429567, 2144349, 2859131, 3573913, 4288695? 5003477 What is next in -504, -757, -1010? -1263 What is next in 10286596, 10286597, 10286598? 10286599 What is the next term in 16505, 132091, 445835, 1056815, 2064109, 3566795? 5663951 What is the next term in -20, -12, 60, 196? 396 What is the next term in 17519, 17490, 17461, 17432, 17403? 17374 What is next in -108, 1, 122, 261, 424? 617 What is next in -24, -80, -212, -456, -848, -1424, -2220, -3272? -4616 What is next in 155, 398, 801, 1364, 2087, 2970? 4013 What comes next: -4455, -8970, -13485? -18000 What comes next: 47788, 95574, 143358, 191140? 238920 What is next in -1584523, -1584521, -1584519, -1584517, -1584515, -1584513? -1584511 What comes next: 32289, 32289, 32291, 32295, 32301? 32309 What is next in 289, 432, 601, 796, 1017, 1264, 1537? 1836 What comes next: 1338, 2528, 3718, 4908, 6098? 7288 What is the next term in 6841, 7540, 8697, 10306, 12361, 14856, 17785? 21142 What is the next term in 452, 1013, 1554, 2063, 2528, 2937, 3278? 3539 What is next in 1914, 7663, 17246, 30663? 47914 What is the next term in 101, 201, 313, 443, 597? 781 What comes next: 381, 411, 441, 471, 501, 531? 561 What is the next term in 15824, 31479, 47124, 62753, 78360? 93939 What comes next: 20202, 40406, 60610, 80814, 101018, 121222? 141426 What is the next term in 1828623, 3657245, 5485867? 7314489 What is the next term in 30224, 60475, 90726? 120977 What is the next term in -51979, -103956, -155933, -207910? -259887 What comes next: 1202, 2381, 3560? 4739 What is the next term in 21995, 43968, 65929, 87878, 109815, 131740? 153653 What is the next term in -315742, -315745, -315748? -315751 What is the next term in 135213, 135212, 135211, 135210, 135209? 135208 What is next in 191, 526, 1437, 3212, 6139, 10506? 16601 What comes next: -4573, -9149, -13729, -18313, -22901, -27493? -32089 What is next in 36200, 36203, 36206? 36209 What is next in -7653, -30612, -68871, -122424, -191265, -275388, -374787? -489456 What is next in -1370697, -1370693, -1370689? -1370685 What is next in -6991, -13815, -20639, -27463? -34287 What comes next: -660298, -660297, -660296? -660295 What is the next term in 23, 45, 67, 89? 111 What comes next: -4469, -17902, -40277, -71588, -111829, -160994, -219077, -286072? -361973 What is next in -28545, -28627, -28851, -29289, -30013, -31095, -32607, -34621? -37209 What is next in -1, -30, -129, -328, -657, -1146, -1825, -2724? -3873 What is the next term in -3096, -3410, -3724, -4038, -4352, -4666? -4980 What comes next: -119, -557, -1307, -2381, -3791, -5549, -7667, -10157? -13031 What comes next: 21777, 43558, 65345, 87138, 108937? 130742 What comes next: 5296, 5810, 6324, 6838, 7352, 7866? 8380 What is the next term in -1079, -875, -323, 751, 2521, 5161, 8845, 13747? 20041 What comes next: 2813, 5596, 8365, 11120, 13861? 16588 What is next in 11686, 23925, 36174, 48439, 60726? 73041 What comes next: -472712, -472736, -472774, -472832, -472916, -473032, -473186, -473384? -473632 What is next in 6012, 12022, 18032, 24042, 30052? 36062 What comes next: 12637, 25283, 37939, 50611, 63305? 76027 What comes next: -3497, -14016, -31543, -56072, -87597, -126112, -171611, -224088? -283537 What is next in -201, -484, -911, -1554, -2485, -3776, -5499, -7726? -10529 What is the next term in -14662, -14714, -14766, -14818? -14870 What is next in 223, 232, 263, 328, 439, 608? 847 What is next in 49096, 49117, 49140, 49165, 49192, 49221? 49252 What comes next: 7463, 14942, 22409, 29858, 37283, 44678, 52037? 59354 What is the next term in 2004, 4013, 6018, 8019, 10016? 12009 What is the next term in -6221, -12460, -18703, -24950, -31201, -37456? -43715 What is the next term in 24993, 50012, 75025, 100032, 125033, 150028, 175017? 200000 What is the next term in -201, -751, -1663, -2943, -4597? -6631 What comes next: -634, -490, -344, -196, -46, 106, 260? 416 What is the next term in -1515, -1508, -1489, -1452, -1391, -1300, -1173, -1004? -787 What is next in 19852, 79419, 178696, 317683, 496380, 714787, 972904? 1270731 What comes next: 277, 1170, 2665, 4768, 7485? 10822 What is the n
{ "pile_set_name": "DM Mathematics" }
98248294929 and -4.618. -98248294933.618 Calculate -0.532 + 502137044. 502137043.468 Work out -36567220912.49 - -0.032. -36567220912.458 Subtract -2001 from 20626210. 20628211 Put together -144350554587 and 376. -144350554211 Calculate -101.7344141029 - -0.1. -101.6344141029 Subtract -153784 from 730.4111. 154514.4111 Calculate 1 + -27854729918863. -27854729918862 43+-27213536637 -27213536594 Calculate -52435751687 - -605. -52435751082 What is 1116.9 plus 154934876? 154935992.9 Put together -514147049 and -3.37. -514147052.37 What is 1569205256 take away -10.8? 1569205266.8 What is 2445 + -7169371338? -7169368893 Add together 25879973041182 and 0.1. 25879973041182.1 Total of -7.9779 and 36243746. 36243738.0221 Add together -956442.24 and -1925. -958367.24 Put together 0.2 and -0.25567433946643. -0.05567433946643 What is the difference between -26.0009 and -153091630? 153091603.9991 What is the difference between -0.184335714 and 4.751? 4.935335714 Total of -408283643 and 32087. -408251556 422515+-1182422 -759907 Add together 0.03 and 9997060255567. 9997060255567.03 What is the difference between -61227216957563 and -12? 61227216957551 What is 5 take away 2863201.86731? -2863196.86731 Add -170.709778 and 467. 296.290222 What is 50433414088941 take away 2? 50433414088939 What is 0.062972 + -4905827? -4905826.937028 What is 589941106 take away -1.86? 589941107.86 -12.98854102811+-0.5 -13.48854102811 Calculate 10313817 - -3.0699. 10313820.0699 Work out -2717.323616 - -50. -2667.323616 1.6212815071 + 56.4 58.0212815071 What is -21429561298 less than -8985? 21429552313 What is -9566053 + 0.030898? -9566052.969102 Put together 0.14 and 2728478957044. 2728478957044.14 21137.4 - 352218.986 -331081.586 Calculate 16.21 - -10828813547. 10828813563.21 Total of -4424017693239 and 16. -4424017693223 What is 0.4 plus 64844857420349? 64844857420349.4 What is the distance between 66 and 3268593068? 3268593002 Add together -225.1 and -11557534. -11557759.1 Add -5183093734 and -43.71. -5183093777.71 Calculate -5055 - 195322178. -195327233 Calculate -2 + 1654748635.61. 1654748633.61 Work out -4793.276 - 27352732. -27357525.276 What is the difference between 490532 and -40438? 530970 Subtract 113116689 from 27398. -113089291 What is 211 + 958810864.3? 958811075.3 13 - -20319.91684 20332.91684 What is 10085844721 plus 176? 10085844897 What is the distance between -1962273 and -68708.237? 1893564.763 837133.8096+0.07 837133.8796 Calculate -289909971 - 3652. -289913623 Total of -1.3 and -35480335021. -35480335022.3 Subtract 6 from 968.28291040898. 962.28291040898 -22346+86.27201 -22259.72799 What is 1750 minus 20.35927462? 1729.64072538 Work out -146313495 - 0.22086. -146313495.22086 What is the distance between -531859.41 and 688622? 1220481.41 What is the difference between 37.97 and -3.03211162? 41.00211162 What is -2080271 less than 11.6529? 2080282.6529 What is -647875935826 minus -0.1? -647875935825.9 What is 0.04 minus 52.01722730988? -51.97722730988 Total of 8547 and -5503810896. -5503802349 Subtract 4148661544 from -8. -4148661552 Subtract -315881 from 153690.003. 469571.003 -38856.718148 - -0.3 -38856.418148 10954 + 0.2501589511 10954.2501589511 Total of 905412920863 and 5. 905412920868 Total of 220637 and -410.25696. 220226.74304 Work out -0.14240092 - 104220.46. -104220.60240092 Work out -14780551.555454 - 3. -14780554.555454 Calculate -62540.323 + 1173. -61367.323 What is the distance between 0.1 and -4562737099422? 4562737099422.1 -1.3 - -0.038481384617 -1.261518615383 Sum -16581416443 and 6. -16581416437 Total of -5 and -982517130119. -982517130124 Add together -866382813 and 76817. -866305996 Work out 12024826 + 69186. 12094012 Calculate 1367209 + 1389303. 2756512 Subtract 273825816 from -4879. -273830695 Work out -0.302499 + 2368.83698. 2368.534481 Add 0.011 and 35662527097. 35662527097.011 Subtract -755.96761853 from 3. 758.96761853 50 + -0.100819388539 49.899180611461 Put together 7952 and -10.91580423. 7941.08419577 -70204255.083+-10 -70204265.083 What is 0.0782643128 take away 792? -791.9217356872 What is the distance between 2011 and 674012271? 674010260 What is -0.44 less than 3455809757687? 3455809757687.44 34293 + 13085944215 13085978508 Put together -19500111 and -6596823. -26096934 What is the distance between -0.375650858229 and -4? 3.624349141771 Total of 0.5 and 1579160857011. 1579160857011.5 1178219883 - -133 1178220016 What is the difference between -10093 and -475.7100264? 9617.2899736 What is 1571458141.112 take away 5? 1571458136.112 65237+-62.8321109 65174.1678891 Put together -0.01 and 2.10401411. 2.09401411 Total of 1127534118 and -0.3422. 1127534117.6578 Work out -34 - -0.22897924588. -33.77102075412 What is 151615 + -889002? -737387 -463791293 + -0.0409 -463791293.0409 Put together -17240 and 4673924. 4656684 Work out -58608.6099571 - 3. -58611.6099571 Subtract 13233350213 from 0.015. -13233350212.985 50.2 + 212949018 212949068.2 Calculate 1140866425 + -118154. 1140748271 What is 2138137.2779519 take away -4? 2138141.2779519 Add together -1.85 and -2997847202. -2997847203.85 -64 - 119299452.9723 -119299516.9723 759.18296+3.86 763.04296 What is the difference between -1 and 9552.747633? 9553.747633 -33130934376 - -403 -33130933973 -0.1 + -2.4670675363 -2.5670675363 -386086410530 - -0.2 -386086410529.8 -10248.9 - -2843091 2832842.1 Add -11.4817 and 0.1248874. -11.3568126 What is 7787950355 - -39700? 7787990055 What is the distance between 957.8637506 and -2? 959.8637506 What is -19 minus -5875.069346? 5856.069346 What is 5.8 less than -120812.480621? -120818.280621 What is -129518435 minus 702527? -130220962 What is 0.2 less than -13360657799.5208? -13360657799.7208 What is 863 plus -31355601.247? -31354738.247 Put together 2 and 161265011162. 161265011164 Calculate 65 - 49360952948. -49360952883 Put together 57542569082005 and -4. 57542569082001 Add 502633441 and -915338. 501718103 Sum 69.2028143106 and -2130. -2060.7971856894 What is -264863081378 minus 0? -264863081378 Add 1.52 and -1262453.0995. -1262451.5795 Subtract 1255216 from -2489.07506. -1257705.07506 Total of 21158377 and -8.88. 21158368.12 Put together 3421055343182 and 3.7. 3421055343185.7 182.50912 + 6251567 6251749.50912 What is 6786 plus -13.4553263? 6772.5446737 8409279 + 86372 8495651 Add together 0.2 and 2157194724260. 2157194724260.2 -3.04713+2929193840 2929193836.95287 What is the distance between 178189839 and -0.00587? 178189839.00587 What is -0.09 less than 28330081789? 28330081789.09 What is -307 take away 833147656879? -833147657186 What is the difference between -506 and -50984576693? 50984576187 Put together 6293 and -14773853.1. -14767560.1 Put together -795049947.60698 and 0.03. -795049947.57698 What is the difference between 117.1844041 and 171? 53.8155959 What is -3 + 98856162.43186? 98856159.43186 Calculate -0.36 - 62535296791. -62535296791.36 Calculate -156833331 + -1.08. -156833332.08 Add 4 and 13849519.72855. 13849523.72855 Calculate -0.2 - -760863873977. 760863873976.8 What is 296100711 plus -1748? 296098963 What is 466 take away 17.68648617005? 448.31351382995 What is the distance between 521 and 565534072? 565533551 What is 215103.2 - -1457036.8? 1672140 What is the distance between 15891237266184 and -0.2? 15891237266184.2 What is -92302786685 plus -0.04? -92302786685.04 What is 2.9 - 3091124164.1? -3091124161.2 Put together -18 and 227525923.35. 227525905.35 Work out -453 - -0.1248029719. -452.8751970281 What is 33483531.388 minus -0.0997? 33483531.4877 Subtract 9415202.104 from 0.0667. -9415202.0373 Work out -0.5 - -5.6498105999. 5.1498105999 Calculate -488193430.365 - 3. -488193433.365 What is -1.571219175 minus 1.053? -2.624219175 What is the distance between 1119.373 and 0.0064? 1119.3666 Add together 5533 and 2227823025. 2227828558 What is 0.0223797 plus -0.2333068? -0.2109271 What is 4 less than 0.03779273319151? -3.96220726680849 What is -1073811197 - -293? -1073810904 Put together 55621 and -2808419145. -2808363524 Put together -318179 and 103024.996. -215154.004 -122 - -1.025967472559 -120.974032527441 Calculate -536504374 + 696.8. -536503677.2 Work out 79.358 + -23893.9052. -23814.5472 Subtract -327178 from 1783059. 2110237
{ "pile_set_name": "DM Mathematics" }
is prob of picking 2 m, 1 g, and 1 n? 3/1292 Two letters picked without replacement from ttttttottttt. What is prob of picking 2 t? 5/6 Three letters picked without replacement from {z: 5, u: 6, l: 3, n: 3}. What is prob of picking 3 n? 1/680 What is prob of picking 4 s when four letters picked without replacement from suszsszszzusssssusu? 55/646 Three letters picked without replacement from {r: 4, e: 3, q: 11}. Give prob of picking 2 e and 1 q. 11/272 What is prob of picking 2 p and 2 e when four letters picked without replacement from {e: 7, p: 3}? 3/10 Four letters picked without replacement from {l: 2, n: 6, k: 2, r: 2}. What is prob of picking 1 l, 2 n, and 1 k? 4/33 Two letters picked without replacement from zyyzyyyyzz. Give prob of picking 2 y. 1/3 Calculate prob of picking 1 n, 2 t, and 1 j when four letters picked without replacement from {n: 5, t: 4, j: 7}. 3/26 Two letters picked without replacement from {d: 2, e: 3, o: 6, w: 4}. Give prob of picking 1 o and 1 w. 8/35 Four letters picked without replacement from yjyyopyfjyjjyj. Give prob of picking 1 y, 1 f, 1 j, and 1 o. 30/1001 Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {j: 2, a: 7, k: 2}. 14/55 Calculate prob of picking 1 a and 1 z when two letters picked without replacement from aaawwzwa. 1/7 Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {d: 1, l: 7, g: 3, m: 4, q: 2}. 3/170 Two letters picked without replacement from {d: 3, l: 1, q: 8, w: 6, n: 1}. Give prob of picking 1 d and 1 n. 1/57 Four letters picked without replacement from {e: 6}. Give prob of picking 4 e. 1 What is prob of picking 1 c and 3 p when four letters picked without replacement from {c: 2, p: 10}? 16/33 What is prob of picking 2 x and 1 m when three letters picked without replacement from xmlxmlxlmxmxml? 25/182 What is prob of picking 2 h and 1 u when three letters picked without replacement from {i: 1, h: 2, n: 4, e: 5, b: 5, u: 3}? 1/380 What is prob of picking 2 f when two letters picked without replacement from effddfpefefeeeeffe? 7/51 What is prob of picking 1 d and 1 y when two letters picked without replacement from {b: 2, y: 1, v: 1, w: 1, f: 1, d: 1}? 1/21 Calculate prob of picking 1 r and 1 m when two letters picked without replacement from vcrycfmv. 1/28 Four letters picked without replacement from {x: 7, j: 4}. What is prob of picking 4 j? 1/330 Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {w: 1, q: 1, i: 2, p: 1, v: 1, x: 1}. 2/21 Two letters picked without replacement from {r: 2, i: 3, j: 2, u: 5}. What is prob of picking 1 u and 1 i? 5/22 Two letters picked without replacement from {o: 2, j: 2, u: 1, f: 5, k: 4, z: 1}. Give prob of picking 1 f and 1 j. 2/21 Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {i: 2, g: 1, a: 4, e: 2}. 1/21 Two letters picked without replacement from uuuuunuuuuuuu. What is prob of picking 1 u and 1 n? 2/13 Two letters picked without replacement from {l: 2, c: 3, f: 3, u: 6, t: 1}. Give prob of picking 1 t and 1 c. 1/35 Calculate prob of picking 3 o when three letters picked without replacement from {x: 3, o: 4, l: 7}. 1/91 What is prob of picking 3 y when three letters picked without replacement from pyppiiiiypyypiia? 1/140 Three letters picked without replacement from {o: 3, d: 10, f: 2, m: 3}. What is prob of picking 2 m and 1 o? 3/272 Calculate prob of picking 4 x when four letters picked without replacement from abxbbxjjxxxxb. 3/143 Calculate prob of picking 2 p, 1 v, and 1 b when four letters picked without replacement from pbppppupvvpppuvp. 27/364 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from uuuluuullullluuuuuu. 26/57 Calculate prob of picking 1 r and 2 i when three letters picked without replacement from irii. 3/4 Two letters picked without replacement from ycccy. What is prob of picking 2 y? 1/10 Three letters picked without replacement from upmzpszpmupzppphpp. What is prob of picking 3 z? 1/816 Two letters picked without replacement from eeee. Give prob of picking 2 e. 1 Calculate prob of picking 1 f and 1 w when two letters picked without replacement from fwawoow. 1/7 Two letters picked without replacement from qudqqqqauqdxuqqu. What is prob of picking 2 q? 7/30 What is prob of picking 2 b and 1 x when three letters picked without replacement from xnnnbxbxnxnbxxnnxnn? 7/323 What is prob of picking 1 n and 1 e when two letters picked without replacement from snseggsefeensgss? 1/15 What is prob of picking 3 i when three letters picked without replacement from bibkbbbibbbikibb? 1/140 Three letters picked without replacement from ntnnttnnknttnntnnkn. Give prob of picking 1 n, 1 k, and 1 t. 44/323 What is prob of picking 2 y and 2 p when four letters picked without replacement from ppbybyyyybpyb? 9/143 Two letters picked without replacement from {n: 9, y: 3}. Give prob of picking 2 y. 1/22 Calculate prob of picking 2 c and 1 v when three letters picked without replacement from owccsovowtw. 1/165 Calculate prob of picking 1 o and 1 k when two letters picked without replacement from ikiikkjoiikiyykkiiko. 7/95 Three letters picked without replacement from {g: 1, r: 1, t: 1, h: 1, u: 1}. Give prob of picking 1 r, 1 u, and 1 t. 1/10 Two letters picked without replacement from zczzzzzzzzzhzzzhzzzh. Give prob of picking 2 z. 12/19 What is prob of picking 3 l when three letters picked without replacement from ltlutuluu? 1/84 Two letters picked without replacement from {b: 1, k: 11, c: 5}. Give prob of picking 2 k. 55/136 Two letters picked without replacement from {q: 2, d: 3}. What is prob of picking 2 d? 3/10 Three letters picked without replacement from xxxfxxxfxxfxffxxxf. Give prob of picking 1 f and 2 x. 33/68 Two letters picked without replacement from {x: 1, b: 8, p: 8, k: 1}. What is prob of picking 1 x and 1 p? 8/153 Four letters picked without replacement from {e: 3, q: 2, a: 2, v: 1, r: 4}. Give prob of picking 2 e, 1 v, and 1 q. 2/165 Calculate prob of picking 3 v and 1 t when four letters picked without replacement from {v: 2, y: 2, g: 8, t: 2, u: 2}. 0 Two letters picked without replacement from xzzxzpzxxxpx. Give prob of picking 2 p. 1/66 What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 1, v: 1, b: 1, g: 1, w: 3}? 1/21 Three letters picked without replacement from {t: 8, k: 1, v: 1, b: 1, o: 1}. What is prob of picking 1 o, 1 k, and 1 b? 1/220 Three letters picked without replacement from llllcc. Give prob of picking 2 c and 1 l. 1/5 Three letters picked without replacement from lklnnlkk. What is prob of picking 1 n and 2 k? 3/28 Four letters picked without replacement from {f: 4, s: 4, t: 9}. Give prob of picking 2 t and 2 f. 54/595 Calculate prob of picking 1 d and 1 u when two letters picked without replacement from odoppospudoo. 1/33 What is prob of picking 1 z and 1 h when two letters picked without replacement from gqdhgcgzzgzcdcd? 1/35 Two letters picked without replacement from uuuuuhhh. What is prob of picking 2 u? 5/14 What is prob of picking 2 t when two letters picked without replacement from {y: 1, i: 5, t: 7}? 7/26 Two letters picked without replacement from {c: 1, n: 1, p: 1, f: 1, s: 1}. What is prob of picking 1 c and 1 s? 1/10 Calculate prob of picking 2 d, 1 o, and 1 q when four letters picked without replacement from dddooqoq. 9/35 Two letters picked without replacement from jjjjsnslnjjsjjs. Give prob of picking 2 s. 2/35 Calculate prob of picking 4 m when four letters picked without replacement from {d: 4, m: 15}. 455/1292 Calculate prob of picking 3 a and 1 j when four letters picked without replacement from {j: 4, a: 3}. 4/35 What is prob of picking 2 h when two letters picked without replacement from {k: 1, h: 11}? 5/6 Four letters picked without replacement from {j: 3, o: 9, r: 1, e: 1, a: 1, t: 3}. Give prob of picking 1 e, 2 t, and 1 r. 1/1020 Four letters picked without replacement from kziikzzk. Give prob of picking 1 z and 3 k. 3/70 Calculate prob of picking 1 p, 1 j, 1 z, and 1 m when four letters picked without replacement from {z: 6, p: 1, j: 4, m: 6, q: 1}. 4/85 Three l
{ "pile_set_name": "DM Mathematics" }
tive. c**(1296/47) Simplify ((m**(-7)/(m/m**(1/3)))/(m**(-1/2))**(-23/2))**(-17) assuming m is positive. m**(2737/12) Simplify (g/(g**(-4/5)*g)*g*g**(-20/9))/(g**(-7))**(-12/11) assuming g is positive. g**(-3989/495) Simplify h**15/h*h*h**(-13)*(((h**(-6/11)/h)/h)/h*h)/(h*h**(-3)) assuming h is positive. h**(16/11) Simplify (a**(1/4)/a**(-3/5))/((a**(-1/7)*a)/a)**(-1/59) assuming a is positive. a**(7001/8260) Simplify ((r**(1/7)*r)/(r*r/((r*r*r**6*r*r)/r)))/(r/(r/((r*r/(r*r**(1/18)*r*r)*r)/r)*r)*r**(-6/11)) assuming r is positive. r**(14891/1386) Simplify (o*o**4)**(-42)*(o/((o**0*o)/o))**(-1/53) assuming o is positive. o**(-11131/53) Simplify (y**3*y)/y*y/(y*y**8*y)*y*((y/(y**(2/7)*y)*y*y)/y)**13 assuming y is positive. y**(30/7) Simplify (((w/((w**(2/37)/w)/w)*w)/w)/w)/w*w/w**(-17)*(w/w**(-7))**(-13) assuming w is positive. w**(-3147/37) Simplify (u**(-19)*u**(-2/21))/(u*u**4*u)**(-1/44) assuming u is positive. u**(-8759/462) Simplify (((b/b**(3/2))/b**(2/7))/(b**1/b)**(-3/8))**(4/7) assuming b is positive. b**(-22/49) Simplify (c*c**(-13)*c**(19/3))/(c/(c/(c*((c*c*c*c/(c**(-13)/c))/c)/c))*(c*c**(-1/2)/c)/c) assuming c is positive. c**(-127/6) Simplify (b**(-13)/b**(3/10))**(3/4) assuming b is positive. b**(-399/40) Simplify (z/(z**(-1)*z))**10*z/(z/((z**23/z)/z)*z)*z**(2/5) assuming z is positive. z**(152/5) Simplify q**2*q*(q**(8/7)*q)/q*(q**(-6))**(-10/19) assuming q is positive. q**(971/133) Simplify (z**(-2/3)/z*z**(-3)/z*z**1*z*z*(z**(-1/5)*z)/z)**(14/11) assuming z is positive. z**(-602/165) Simplify (((l**(-1)*l)/l)/((l*l/l**(-1/20)*l)/l))/(l**(-8/3)*l*(l**1*l)/l) assuming l is positive. l**(-143/60) Simplify (i**(2/3))**(-2/155)*(i*i**(-7)*i)**(-2/149) assuming i is positive. i**(4054/69285) Simplify f**(-12)*f/(f*f*f/(f*f**(-6))*f)*(f/f**(-1/6))/(f*f**(-10/9)) assuming f is positive. f**(-337/18) Simplify (q/(q*q**(-3)*q)*q)/q**(1/11)*(q*q**(-1/6))/q**(-4/3) assuming q is positive. q**(335/66) Simplify ((t*t/(t**(-1/4)/t)*t)/(t*t**16))/((t*t**(3/13))/t**(-15)) assuming t is positive. t**(-1507/52) Simplify ((r*r**(3/7)/r*r)/r**(1/4))/(r/r**(1/6)*r*(r/r**(-6)*r)/r*r) assuming r is positive. r**(-727/84) Simplify ((o*o/o**(-2/37))/o*o)**45*(o**(6/5)/o)**(-44) assuming o is positive. o**(15472/185) Simplify (n*n**(2/25)*(n/n**(-12))/n)/(n/(n/((n**(-3/2)*n)/n)))**(1/21) assuming n is positive. n**(4603/350) Simplify ((y**0/((y*y/(y/(y/(y**(3/7)/y))))/y))**23)**(1/44) assuming y is positive. y**(-23/28) Simplify (z**22*z*z*z**(-2/11))**(-1/5) assuming z is positive. z**(-262/55) Simplify ((d**(-1)*d*d**(8/3)*d)/(d**(-3))**42)**(-15) assuming d is positive. d**(-1945) Simplify (((z**(-9)/z)/(z**(5/7)*z))/((z*z*z**1)/(z/((z*z**(-1/9))/z))))**(2/29) assuming z is positive. z**(-1714/1827) Simplify ((z*z/(z/(z/(z**(-10)/z)*z)))/z**20)/(z**(-2)/z)**(23/2) assuming z is positive. z**(57/2) Simplify r**(-15)*r**27*(r*r**(-16))**(-4/5) assuming r is positive. r**24 Simplify (((g*g**(-3)*g)/g)/g**(8/5)*(g*g**(-2/23))/(g**(-1/7)*g*g))**(4/19) assuming g is positive. g**(-14632/15295) Simplify (((m**1)**(-6/7))**(-12/5))**29 assuming m is positive. m**(2088/35) Simplify (b**(-4))**32/(b/(b*b/b**(-8))*b)**(-16) assuming b is positive. b**(-256) Simplify ((b**0)**(2/9)/(b**(-1))**(-16))**45 assuming b is positive. b**(-720) Simplify (p/(p/(p*p/(p*p**(-7)))))/p**7*((p*p*(p*p**4*p)/p)/p)**28 assuming p is positive. p**169 Simplify (((g/g**(-1))/g)/((g/g**(-14/9))/g))/(g**(-1/4)*g/g**20*g) assuming g is positive. g**(637/36) Simplify ((u/(u*u**(-4))*u**(1/17))**(2/17))**(-4/39) assuming u is positive. u**(-184/3757) Simplify ((x**30*x)**(1/27))**24 assuming x is positive. x**(248/9) Simplify ((f*f**(-2/7))/f**(-3))/(f**(-3)*f)**48 assuming f is positive. f**(698/7) Simplify (s/(s*s**(8/7)*s)*s)/(s*((s/(((s/(s/(s*(s*s**(-2/23))/s*s))*s)/s)/s))/s)/s)*(s**(-17)*s)/s**12 assuming s is positive. s**(-4545/161) Simplify (w*w/w**(-7/3)*w)/w*w**(3/13)*((w*w**(2/11))/w)/((w/w**(3/28))/w) assuming w is positive. w**(58295/12012) Simplify k**(4/3)*k**(11/2)*(k**(-1/16)*k)/k*k*(k**(-2)*k*k)/k assuming k is positive. k**(325/48) Simplify ((z/((z/(z/(z/((z/(z*z**(2/29)*z))/z)*z))*z)/z))/z*z)/z**(-11)*z**5/(z*z**(-5)*z) assuming z is positive. z**(462/29) Simplify (v/(v**(-22)*v)*v**(-6))/(v**2/(v/(v/(v*v*v*v*v**(-3/17)))*v)) assuming v is positive. v**(320/17) Simplify (((o*o**(-11))/o)/((o/(o/o**1))/o*o))/(o**4*o*o**(-1/8)) assuming o is positive. o**(-135/8) Simplify w**(-1/16)*w*w**38*w*(w*w**(2/9))**49 assuming w is positive. w**(14375/144) Simplify (y**4/y)/y**(-12)*y**13*y**(-12) assuming y is positive. y**16 Simplify (b**(-6/7))**(-2/11)*(b/b**(1/40))/b*b**0/b assuming b is positive. b**(-2677/3080) Simplify ((l/(l*l**(-3/26)*l))/(l/l**8))/(l*l*l/(l/(l*l/(l/(l**(-4/15)*l))))*l*l/l**(-4/21)*l) assuming l is positive. l**(-2207/2730) Simplify (p**(-3))**48*(p**(-33)/p)/(p*p**2*p*p) assuming p is positive. p**(-183) Simplify ((i**(2/5))**(-38))**23 assuming i is positive. i**(-1748/5) Simplify m**(10/11)/(m**(-2/7)/m)*(m**(2/7))**(-38) assuming m is positive. m**(-667/77) Simplify (u/(u*u**(7/3)))**35*u**(6/7)/((u/(u*u**(8/5)))/u) assuming u is positive. u**(-8212/105) Simplify (((s/s**11)/s)/(s/s**(-4/29)))**(2/127) assuming s is positive. s**(-704/3683) Simplify ((k/(k/(k/(k**(22/7)*k*k))))/(k**(-11)/k))**(-30) assuming k is positive. k**(-1650/7) Simplify (j**(-27)*j**(-3/4))/(j/(j/(j**(-4/5)*j)))**(-48) assuming j is positive. j**(-363/20) Simplify (z*z**23*z*z**(23/2)/z)**31 assuming z is positive. z**(2201/2) Simplify (h**(-2/51)*h**(1/4))/(h**(-13)*h/(h/h**(3/2)*h)) assuming h is positive. h**(2593/204) Simplify (n/(n/(n*n**(17/4)*n))*(n/(n*n*n**(2/11)))/n)/(n**(-14/5)/n**10) assuming n is positive. n**(3711/220) Simplify (i**(-1/20)*i)/((i*i/i**(-3))/i)*i**(-11)*i*i**(-2/29)*i*i*i assuming i is positive. i**(-5869/580) Simplify (z**(-1/6)/z**5)/(z**(-5/6)/(z/((z/(z/(z/((z/(z/z**(-6/5)))/z))))/z))) assuming z is positive. z**(-83/15) Simplify (c**(-10/3))**(-48)*(c*c/c**(-2/19)*c)/(c**7/c) assuming c is positive. c**(2985/19) Simplify (s/s**(-6))**(33/7)/(s*s**(-5))**7 assuming s is positive. s**61 Simplify ((q**(-16)/q)/q**(-1/6))/(q**(-1)*(q*q**(2/37))/q) assuming q is positive. q**(-3527/222) Simplify ((i/i**(-2))**(-3/5)/(i**(1/2)*i**(-2/21)))**46 assuming i is positive. i**(-10649/105) Simplify ((p*(p/(p/(p/(p*p**(16/3)*p))*p)*p)/p)/(p*p**8))**(-15) assuming p is positive. p**230 Simplify x**(-4)*x/(x*x**(-19)*x)*x**(-21)*x*x**(-12)/x assuming x is positive. x**(-19) Simplify ((u**15*u)/(u*u**16*u))/(u*u*(u**(4/7)/u)/u)**6 assuming u is positive. u**(-38/7) Simplify f*f**(-7/4)*f*f**11*(f**10/f)/((f/f**10)/f*f) assuming f is positive. f**(117/4) Simplify ((g**(9/2)/(g/(g**16*g)))**(-22))**(-18) assuming g is positive. g**8118 Simplify (q**(-6))**2/(q**(3/4))**16 assuming q is positive. q**(-24) Simplify ((z**0)**(-32)/((z**(1/5)/z)/(((z*z**(2/3)*z)/z)/z)))**(-34) assuming z is positive. z**(-748/15) Simplify ((c**13/((c/c**(1/2))/c*c))**(3/11))**(-3/29) assuming c is positive. c**(-225/638) Simplify (r/r**(-1/8)*r**(2/9))/(r**(-2/3))**(-1/2) assuming r is positive. r**(73/72) Simplify ((l/(l*l**7))/(l**6/l))/((l/(l*l*l**(-6/7)*l)*l)/l**20) assuming l is positive. l**(57/7) Simplify q*q**5*q*q*(q/q**15)/q*q/((q**(2/21)*q)/q*q)*q*(q*q/q**(-15)*q)/q*q assuming q is positive. q**(250/21) Simplify i**15/(i*i**(3/5)*i)*i*i**(-25)*i*i/(i*i/(i*i*i**(10/3)*i*i*i)*i) assuming i is positive. i**(-64/15) Simplify ((d*d**1)/d*d/(d**(-10/11)/d)*d)/(d**(-11/5)/(d*d*d/(d*d**29))) assuming d is positive. d**(-1094/55) Simplify (r*r/(r*r*r**(1/5))*r*r*r**21*r)/((r*(r*(r**(9/2)/r*r)/r)/r)/r**(-21)) assuming r is positive. r**(-17/10) Simplify ((((((g/g**(-18))/g)/g)/g)/(g**(-1/14)*g))**(-1/18))**31 assuming g is positive. g**(-6541/252) Simplify (f/(f*f/f**(-11)))**(-8/15)/((f*f**(-1/5))/f**(-15/7)) assuming f is positive. f**(121/35) Simplify ((s/(s/(s/(s*s**2))))**(1/7)/(s**(-5)/s*s*s/(s**(1/6)/s*s)))**(-7/5) assuming s is positive. s**(-163/30) Simplify a**(6/11)/(a**(-3)*a)*(a**(-3))**(4/11) assuming a is positive. a**(16/11) Simplify (v/v**(-19))**(-19/2)*v/((v/v**(-12))/v)*v**(7/8) assuming v is positive. v**(-1601/8) Simplify v**(-6)*v**1*(v**12)**(-10/7) a
{ "pile_set_name": "DM Mathematics" }
. Let x be 1 - (-5)/(2685/(-528)). Is z bigger than x? False Let w = 5 - 3. Let j(x) = -17*x - 1. Let m be j(-4). Which is smaller: m or w? w Let o be 8/(-28) - (-204)/721. Let i = -5/37173903 - 56355503563/991688210331. Let h = i - o. Is h less than 0? True Let l be (-12)/(-4)*((-4)/9 + 35/45). Which is greater: l or -1/41? l Let p be (-1 - (4 + -4 - 3))*-6. Let i be p/(-9)*1/3. Let m be (-3)/((-9)/(-2)) + 0. Are i and m unequal? True Let i = -79/13 - -12074/1989. Let w = 469 - 470. Which is smaller: w or i? w Suppose 2*k - 12 = 6*k, -4*k = -3*o + 6. Let i be 4 + 0 + 3 + o. Let w be 6 - 15/i - 15. Which is greater: -11 or w? -11 Let p = -1151/2 - -565. Let a be 7/14 + ((-171)/(-6) - -1). Suppose -5*r = -5*t + t + a, 0 = 3*r - 3*t + 15. Which is smaller: r or p? p Let v(m) be the second derivative of m**4/6 - m**3 + 2*m**2 - 88*m. Let h be v(2). Let i = -5/22 - -12/77. Is h >= i? True Let m be (-50)/(-22) + -2 + 0. Let a(l) = -l**3 + 3*l**2 + 5*l - 4. Let b be a(4). Suppose b*c + 9*c = 0. Which is bigger: m or c? m Let k = -82.6 - -60. Let d = k + 23.6. Which is smaller: -5/8 or d? -5/8 Suppose -2*v - 629 + 188 = 1961. Which is bigger: v or -1200? -1200 Let g be (18/(-32))/((-192)/(-256)) + 7/4. Is g at least 848? False Suppose 15882 = 2*z - 0*z. Let m = -1629681864271/1059 + 4616638682/3. Let n = m + z. Which is smaller: n or 1? n Let q be ((-8)/6 - (-5)/15)*-4. Suppose q*b + 32 = 8*b. Suppose -b = j + 9. Is -16 greater than or equal to j? True Let k = -199/20 + 39/4. Suppose -59*t - 7 = -3*t - 63. Which is bigger: k or t? t Let c(p) = p - 2. Let h(n) = -3*n + 16. Let m(r) = -2*c(r) - h(r). Let d be m(11). Let i be ((-6)/(-32))/((-2)/(-4)). Which is smaller: i or d? d Let o = 272.4 - 318. Let p = 79 + -34. Let z = o + p. Which is smaller: 2/13 or z? z Let u(g) = -536*g - 1. Let n be u(1). Suppose 415 = 5*l - 5*a + 3190, -20*a = -3*l - 1988. Which is smaller: l or n? n Let w = -37 + 24. Let a = -71 - -59. Which is greater: a or w? a Let b = -2098 - -772. Let s be (-1139)/b + 4/(-6). Does 1 = s? False Suppose -207 = -19*b - 4*b. Let v be 1 + 26 + b + 0 + 1. Let o(c) = -c**3 + c**2 - c + 39. Let j be o(0). Which is smaller: v or j? v Let b be ((-3)/4)/((-2)/(-8))*-1. Suppose b = 3*s + c, 0*c + 2*c = -2*s + 6. Let n be (s + 10)/5 - 2. Which is bigger: -3/35 or n? n Let d = 976 - 972. Let x be 232/(-2175)*(-6)/d. Is 1 < x? False Let w = -0.07 + 0.16. Let q = w - 47.09. Let d = -48 - q. Is d > -65? True Suppose -10*m - 31 = -1. Let r be -3 + (8/28)/(m/(-21)). Which is bigger: -2 or r? r Let d = 20.96 - 20.76. Which is smaller: 73/7 or d? d Let b(g) = g**3 + 3*g**2 - 12*g - 7. Let v be b(6). Suppose 13*w + v + 223 = 0. Is w equal to -36? True Let n = -19 - -13. Let w = n + 6.004. Let u = w + 0.996. Is u less than 0.55? False Let v be ((-150)/36)/(-5)*24/40. Let a = 342 + -331. Which is smaller: a or v? v Let z = 18369.9 + -18370. Is z >= 3/2518? False Let h = 98063 + -103554559/1056. Let q = h + -1/32. Is 0 smaller than q? False Let b be (-6)/14 + (-30)/(-21). Let c be 1426/142*(-13)/(-65) - 2. Is b <= c? False Let o be 119903/(-19635) - 3/15. Let h = 100/17 + o. Which is greater: h or 1? 1 Let k = -5554 - -5539. Which is bigger: -695/43 or k? k Let l(t) = 4*t**3 + 4*t**2 - 12*t - 49. Let g be 13/(-3) + (5/3)/5. Let m be l(g). Which is bigger: m or -192? -192 Suppose 3*j - 6 = l, 0*l - 2*l - 5*j + 32 = 0. Let i be ((-27)/l)/((-9)/48) + -2. Let t be 4/(-22) + (-40)/i. Which is smaller: t or 0? t Suppose 5*w - 3*b + 172 = -0*b, 36 = -w + b. Suppose -2*g - 76 = -4*j, 0 = -3*g + 177*j - 172*j - 111. Is w at most as big as g? True Suppose -133 = -2*d + 11. Suppose 9*s + d = 15*s. Suppose s*k = 6*k - 6. Is k <= -10/31? True Let c(q) = 2*q**3 - 51*q**2 + 33*q - 201. Let o be c(25). Is o less than -5/107? True Let m = -70 + 77. Let q be (m - 4 - 1) + -127. Let b be 2 + (-1 - 4) + q/(-42). Which is bigger: b or -1? b Let o(u) = 33*u + 170. Let f be o(-5). Let t be -4083*(-7)/5719 - f. Is 0 not equal to t? True Suppose r - 2*a - 16 = -3, 6 = -3*r - 3*a. Let l = 5 - 4.85. Let x = 0.05 + l. Which is smaller: x or r? x Let z = -81/76 + 33977/31844. Let a = -131 - -131. Which is greater: a or z? z Suppose -28163 = -79*a - 105*a + 43965. Which is smaller: a or 375? 375 Let s be (6762/(-8))/(5100/(-680)). Is s greater than or equal to 114? False Suppose -8*n + 168 = 4*n. Suppose -37*w - n = -39*w. Let j be 6*(1 - 3/(-6)). Which is bigger: w or j? j Suppose s + 3 = -p, 6*s + 11*p - 14*p - 9 = 0. Is 1/1273 > s? True Suppose b = 3*o - 77, 0*o = 5*b + o + 465. Suppose 12*v - 892 = 212. Let w = v + b. Which is smaller: -2/43 or w? -2/43 Let z = -13.53 - 3.99. Let j = 17 + z. Let s = -6 - -5.9. Which is bigger: s or j? s Let f(v) = v + 6. Let o be f(-4). Let r(g) = -30*g**2 + 5*g - 4. Let t be r(o). Which is smaller: t or -113? t Suppose 2*q = -3*o + 2, 12 = 2*o - 2*q - 2*q. Suppose 0 = -f + 4*f. Suppose 0 = 3*t - f*t + v, -3*t = -o*v - 9. Is t equal to 4/33? False Suppose -124*f = -63*f - 221003. Is f greater than or equal to 1? True Let j(g) = 359*g + 1214. Let c be j(13). Is 5882 bigger than c? True Let y be (-1)/(76/(-8)) + (-5540)/(-76). Let n be (5 - (y + 2))*(-2)/(-4). Which is smaller: n or -109/3? -109/3 Let n(s) = -3*s + 2. Let k be n(1). Let y = -231 + 228. Let o be y*(-2 + k - (-16)/6). Which is smaller: -1/19 or o? -1/19 Suppose 0 = -y - 2, -y - 54 = v - 23. Let a be 84/(-14) + (-187)/v. Which is smaller: a or 0? 0 Let c be ((2 - 1) + -1)*(-8668 - -8669). Let z = 36658/21 + -1745. Is z < c? False Let m = 12429 - 12428.9. Is 2/1193 less than m? True Let t(p) = 12*p**2 - p - 1. Let k be t(-1). Let i be (k/9)/((-6)/9). Suppose 3*s - 3 = a, a - 34 + 35 = s. Which is smaller: s or i? i Let m = -274 - -298. Suppose -4*s = 5*j + m, s + 4*j + 13 = 4*s. Let l be 238/120 - (-1 - -3). Is s != l? True Let p be 6985/25 - (36/15 + -2). Let v = p - 280. Which is smaller: 1/77 or v? v Let s = 46169/10258 + -4/5129. Let d be 0 + (2 - -1) + 3. Which is smaller: d or s? s Let b = 828 - 666.8. Let n = -161 + b. Let w = 0 - 0.8. Is w less than or equal to n? True Let z(o) = o**3 - 35*o**2 + 38*o - 85. Let a be z(34). Suppose 181*d - 184*d = -a. Is 14 >= d? False Let r be 150/(-30)*168/5. Is -172 <= r? True Let r = -309 + 311. Let n = 0.1032 - -4.9668. Let y = n + -0.07. Does y = r? False Suppose -3*o = o + 68. Let w be (-2)/(-56) - o/68. Are 221 and w non-equal? True Let b be 24/96 - 2394/8. Let y = 299 + b. Which is greater: -9/43 or y? y Let d(b) = 40*b**2 + 3*b + 5. Let l be d(-1). Suppose -l = -5*c - 47. Which is smaller: -2/1517 or c? c Let v = 9 + -3. Let d be (-166)/(-852) - v/36. Let u(o) = 4*o + 11. Let p be u(-3). Is d at most p? False Let d = -7939 - -3207357/404. Suppose -2*a + 2 + 0 = 0. Is d >= a? False Let o = -198023518/3065 - -64608. Are o and 0 nonequal? True Let s be 2/(-5) + 10892/(-220). Suppose -17*t - 581 - 269 = 0. Let x = s - t. Which is greater: x or 0? x Let q be 17*(-7 + 4 - -5). Suppose -4*r + 172 = -3*z, 3*r - 28*z = -33*z + 129. Which is smaller: q or r? q Let l be 12/4 - -1 - (-45)/(-3). Let i be 2/(-4) + (-114)/12. Let k = i - l. Do k and -2/55 have different values? True Let b(q) = -q**2 - 7*q - 7. Let v(o) = o**2 + 14*o + 40. Let y be v(-9). Let g be b(y). Is 1/58 > g? False Let t be -5 + 13 + 30/(-17). Is -1 < t? True Let o = -796 - -774. Let z = o - -31. Are z and -15/2 equal? False Let w = -16054499/1375 + 11676. Is -1 != w? True Let r be (-450)/(-75) + 3*(-16)/86. Is 5 > r? False Let z(j) = -14*j**2 - 9*j - 7. Let l be z(-4). Let r = 109 + l. Let q be (-57)/38 - r/(-4). Which is smaller: q or 1? q Let i be (-890)/(-145) + 1081/47. Which is greater: 28 or i? i Let i be (850/(-14220))/(-17)*(-20)/(-75). Is i smaller than 1? True Let v be (-3 - -1)*9/(-6). Suppose o - 2*a = 6*o + 13, 0 = 5*o - v*a - 7. Let j be (o/4)/(-2 - 2). Which is smaller: j or -1? -1 Let s = 1575 + -1575.0142. Which is greater: s or 0.2? 0.2 Let w = -77 - -81. Let h = -477 - -469. Which is greater: h or w? w Let q = 667 - 634. Let p = -10747/10 + 2085/2. Let x = p + q. Which is smaller: 0 or x? 0 Let x = 59 - 29. Let n(h) = -h**2 - 35*h + 430. Let z be n(9). Is x != z? True Let i = 7/15 + -3/10. Let q be ((-3)/1 + 5)/(-2 - -13). Does q = i? False Let j be (3/2)/((-3
{ "pile_set_name": "DM Mathematics" }
+ 13*y(t). 5*t**3 Let d(g) = 3*g - 1. Let w(u) = -u**2 + 3*u - 2. Suppose 0 = -0*n - 4*n + 4. Suppose i + 0*q + 3*q + 3 = 0, -5*q = 3*i + n. Determine i*d(t) - 2*w(t). 2*t**2 + 3*t + 1 Let b(q) = q - 1. Let f(l) = 6*l - 6. Let h = -1 + 3. Let s(w) be the second derivative of 4*w**3/3 + 43*w. Let z be s(h). Give z*b(r) - 3*f(r). -2*r + 2 Let k = -1797 - -1798. Let b(z) = 8*z**2 + 2*z + 9. Let d(c) = c**2 + 1. Calculate k*b(h) - 6*d(h). 2*h**2 + 2*h + 3 Let t(l) = 157*l + 12. Let i(o) = -o - 2. Give -6*i(a) - t(a). -151*a Suppose -7*h + 41*h = -102. Let s(u) = u**3 + u + 1. Let j(m) = 18*m**3 + 3*m + 3. Calculate h*s(g) + j(g). 15*g**3 Let r(c) = 6*c + 7. Let k(f) = -11*f + 11. Let y(t) = -14*t + 14. Let x(q) = -5*k(q) + 4*y(q). Calculate -r(b) + 5*x(b). -11*b - 2 Let j(d) = -5*d**3 + 6*d**2 + 3*d + 4. Suppose 96*h - 83*h - 13 = 0. Let v(p) = p**3 - p**2 - p - 1. Calculate h*j(u) + 6*v(u). u**3 - 3*u - 2 Let a(q) = -9*q + 2. Let t(c) = -c**3 - 3*c**2 + 6*c - 14. Let p be t(-5). Let u(b) = 19*b - 4. Determine p*u(o) + 13*a(o). -3*o + 2 Let a(u) = -7*u**3 - 5*u**2 + 2*u + 7. Let l(t) = -3*t + t + 6*t**2 - 6 + 8*t**3 - 2. Suppose 2*h = -h + 15. Calculate h*l(f) + 6*a(f). -2*f**3 + 2*f + 2 Let t(m) = m**3 - 17*m**2 - 5*m + 1. Let r(z) = 2*z**3 - 34*z**2 - 11*z + 2. Give -4*r(p) + 9*t(p). p**3 - 17*p**2 - p + 1 Let h(w) = w**3 - 2*w**2 - w - 1. Let k(p) = -4*p**3 + 12*p**2 + p + 6. Determine -6*h(d) - k(d). -2*d**3 + 5*d Let j(s) = -7*s**3 - 5*s**2 - 9*s + 1. Let h(a) = 2*a**3 + a**2 + 2*a. Give -9*h(b) - 2*j(b). -4*b**3 + b**2 - 2 Let p(w) = 1. Let n(o) be the third derivative of o**5/30 - o**4/24 + o**2. Let m be (-1)/4*2*(-354)/(-3). Let r = m + 58. Determine r*n(c) - 2*p(c). -2*c**2 + c - 2 Let f(b) = 3*b**2 + 6*b - 1. Let h(s) = -4*s**2 - 7*s + 1. Let m = 26 + -11. Let x be (-8)/12*m/(-2). Determine x*f(w) + 4*h(w). -w**2 + 2*w - 1 Let b(d) = 4*d + 13. Let t(s) = s + 4. Let y be ((-816)/(-255))/((-4)/(-5)). Determine y*b(f) - 14*t(f). 2*f - 4 Let j(b) = -108*b**3 - 6*b - 3. Let a(f) = -215*f**3 - f**2 - 10*f - 5. Calculate -3*a(v) + 5*j(v). 105*v**3 + 3*v**2 Let c(h) = -5*h**3 - 4*h**2 - 7*h - 4. Let m(s) = 6*s**3 + 5*s**2 + 9*s + 5. Let l(x) = -5*c(x) - 4*m(x). Let q(w) = 8*w**3 - 3*w - 1. Give 3*l(a) - q(a). -5*a**3 + 1 Let r(a) = -3*a**3 + 20*a**2 - a + 2. Let l(g) = -3*g**3 + 17*g**2 - g + 1. Calculate 5*l(o) - 4*r(o). -3*o**3 + 5*o**2 - o - 3 Let t(h) = 11*h**2 + 7*h + 7. Let f(i) = -11*i**2 - 2*i - 2. Let l(g) = -55*g**2 - 8*g - 8. Let r(a) = -11*f(a) + 2*l(a). Calculate 7*r(w) - 6*t(w). 11*w**2 Let d(h) = 57*h - 3. Let x(m) = 170*m - 8. Calculate 11*d(f) - 4*x(f). -53*f - 1 Let h(w) = -17*w**3 - 13. Let b(p) = 8*p**3 - 5*p**2 - 15*p + 6. Let l(x) = 4*x**3 - 2*x**2 - 6*x + 3. Let v(q) = 2*b(q) - 5*l(q). What is -6*h(j) + 26*v(j)? -2*j**3 Let j(v) = -v**3 - 2*v**2 + v + 1. Let z(y) = y**3 - 8*y**2 + 8*y + 1. What is -5*j(s) + z(s)? 6*s**3 + 2*s**2 + 3*s - 4 Let v(l) = l + 5. Let w(c) = -7 - 10 + 27 - c - 4 - 5. What is v(q) - 4*w(q)? 5*q + 1 Let m(s) = -11*s**2 - 5*s - 1. Let o(u) be the third derivative of -u**5/12 - u**4/12 - u**3/6 + u**2 + 2*u. What is 2*m(j) - 5*o(j)? 3*j**2 + 3 Let q(s) be the first derivative of 4*s**2 - 142. Let n(j) = -25*j. What is -3*n(x) - 10*q(x)? -5*x Let z(b) = b**2 - 8*b + 13. Let u be z(6). Let s(g) = -6*g + 5. Suppose -2*h + 54 + 14 = 0. Let j be (-6)/27 - h/9. Let y(k) = -k + 1. Give j*y(t) + u*s(t). -2*t + 1 Suppose -6 = -c + b, -57*c + 56*c = -5*b - 22. Let g(y) = 6*y**2 + y - 2. Let d(q) = 7*q**2 + q - 3. Determine c*d(s) - 3*g(s). -4*s**2 - s Suppose -a + 3*m = -8, 4*a = -5*m + 2*m - 43. Let g(r) = 3*r + 1. Let j(c) = 5*c + 2. Determine a*g(k) + 4*j(k). -k + 1 Let z(t) = -188*t**2 + 10*t. Let p(d) = 1786*d**2 - 94*d. Calculate 5*p(x) + 47*z(x). 94*x**2 Let r(u) = 182520*u + 1053. Let z(t) = -347*t - 2. Calculate -2*r(d) - 1053*z(d). 351*d Let s(b) = -b**3 + 8*b**2 + 5*b. Let h(u) = -u**3 + 9*u**2 + 6*u. Suppose -32*j = -19*j - 78. Determine j*s(n) - 5*h(n). -n**3 + 3*n**2 Let c(n) = -13*n**2 - 14*n + 2. Let g(l) be the first derivative of -4*l**3/3 - 5*l**2/2 + l + 230. Give -3*c(k) + 8*g(k). 7*k**2 + 2*k + 2 Let i(h) = 2*h - 1. Let x be i(3). Let m(d) = -6*d - 5. Let n be (12/(-20))/((-16)/(-160)). Let l(w) = -7*w - 6. Determine n*m(r) + x*l(r). r Let v(o) = 6 + 5 + 27*o - 24*o - 11. Let t(a) = -4*a + 1. Let c be (1 - 0)/((-1)/2). Calculate c*t(j) - 3*v(j). -j - 2 Suppose 48*x = 39 - 135. Let q(i) = -119*i - 49. Let z(g) = 5*g + 2. Give x*q(w) - 49*z(w). -7*w Let i(l) be the third derivative of -7*l**6/60 - l**5/15 + l**4/6 + 2*l**3/3 + 31*l**2 - l. Let w(s) = 13*s**3 + 3*s**2 - 3*s - 3. Determine -3*i(c) - 4*w(c). -10*c**3 Let q(c) = 241*c**3 + 964*c**2 + 964*c - 2892. Let m(p) = p**2 + p - 3. Calculate 964*m(l) - q(l). -241*l**3 Let y(k) = -2*k**2 + 3*k - 1. Let v(c) = 691*c**2 + 18*c - 5. What is -v(h) + 6*y(h)? -703*h**2 - 1 Let q(d) = -d - 4. Let p(x) = -15*x - 28. Let v(l) = p(l) - 8*q(l). Let s(i) = 35*i - 21. Calculate 2*s(h) + 11*v(h). -7*h + 2 Let r(v) = -v - 9. Suppose 3*y + 15 = 0, 0*y + 23 = -3*l - 4*y. Let k(s) be the second derivative of s**2/2 + 25*s - 1. Calculate l*r(x) - 6*k(x). x + 3 Let n(a) = -13*a. Let t = -6 - -1. Suppose -2 = -7*f + 12. Suppose 2*l + 45 = -5*b, 0*b + 3*b + 31 = -f*l. Let m(j) = 9*j. What is b*m(z) + t*n(z)? 2*z Let m(r) = -6*r + 15. Suppose 4*l - 115 = -i, -4*i + 6*i = -5*l + 140. Let x(v) = -v + 2. Determine l*x(y) - 4*m(y). -6*y Let s(w) = 11*w**2 + 9*w - 1. Let m(v) = 22*v**2 + 16*v - 1. Calculate 6*m(x) - 11*s(x). 11*x**2 - 3*x + 5 Let v(k) = -2*k**3 + 2*k**2 + 8*k + 5. Let f be v(0). Let l(s) = 12*s**3 + 3*s**2 + 3*s - 7. Let z(x) = 8*x**3 + 2*x**2 + 2*x - 5. What is f*l(o) - 7*z(o)? 4*o**3 + o**2 + o Let o(j) = -26*j**2 + 302*j - 9. Let d(q) = 6*q**2 - 75*q + 2. Determine -9*d(v) - 2*o(v). -2*v**2 + 71*v Let d(l) = 11*l + 33. Let k(y) = 4*y + 1. What is d(w) - 2*k(w)? 3*w + 31 Let t(i) = 6*i**2 + 25*i + i + i - 16*i - 7. Let k(d) = 3*d**2 + 5*d - 1. Let q(u) = 6*u**2 + 10*u - 1. Let x(a) = -5*k(a) + 2*q(a). Give -3*t(f) - 7*x(f). 3*f**2 + 2*f Let a(o) = -4*o**2 - 9*o. Let u(d) be the second derivative of d**4/6 + 2*d**3/3 - 28*d + 2. Determine 4*a(p) + 9*u(p). 2*p**2 Suppose 3*m - 10 = 2. Let n(g) = -7*g**2 + 7*g - 4. Let j = 68 + -47. Let k(t) = -3*t + 0*t + 24*t**2 - j*t**2 + 2. Give m*n(u) + 9*k(u). -u**2 + u + 2 Let c(d) = 23*d**2 + 10*d + 17. Let o(q) = 24*q**2 + 9*q + 14. Give -5*c(b) + 6*o(b). 29*b**2 + 4*b - 1 Let g(p) be the third derivative of p**5/20 + p**4/6 + p**2 - 151. Let h(s) = 3*s**2 + 3*s. Calculate -2*g(d) + 3*h(d). 3*d**2 + d Let g(o) = 6*o**2 + 7*o + 1. Suppose -5*x = -i - 50, 0*x = -x + 4*i - 9. Suppose -x*s + 12*s = -14. Let h(r) = -r**2 - r**2 - r + r**2. What is s*h(c) - 2*g(c)? 2*c**2 - 2 Let q(s) = s**2 - 1. Let g be (54/15 - 4) + 256/40. Let t(f) = 3*f**3 - 6*f**2 + 8. Determine g*q(c) + t(c). 3*c**3 + 2 Let p(b) = -6*b**3 + 3*b**2 - 2*b + 28. Let o(u) = -17*u**3 + 8*u**2 - 6*u + 83. Determine 4*o(l) - 11*p(l). -2*l**3 - l**2 - 2*l + 24 Let w(n) be the second derivative of -n**3/6 + 48*n. Let b(x) = 3*x + 1. Give -b(s) - 5*w(s). 2*s - 1 Let z(v) = 26*v - 35. Let o(t) = 24*t - 40. Determine -6*o(h) + 7*z(h). 38*h - 5 Let t(f) = -54*f**3 - 45*f**2 - 45. Let j(b) be the third derivative of -b**6/24 - b**5/15 - 2*b**3/3 + 471*b**2. What is 45*j(k) - 4*t(k)? -9*k**3 Suppose 38 = -3*x + 11. Let j(l) = -l**3 - 8*l**2 + 10*l + 3. Let p be j(x). Let a(z) = 7*z**2 + 2*z - 5. Let y(i) = -8*i**2 - 3*i + 6. What is p*a(r) - 5*y(r)? -2*r**2 + 3*r Let k = 144 + -94. Let g = k - 54. Let n(r) = 7*r**2 + 4*r + 4. Let u(c) = -6*c**2 - 4*c - 3. What is g*n(q) - 5*u(q)? 2*q**2 + 4*q - 1 Let x(j) = -6*j**2 + j + 2. Let k(f) = 2 - f**2 + 74*f - 149*f - 2*f**2 - 2*f**2 + 76*f. Give -4*k(q) + 3*x(q). 2*q**2 - q - 2 Let h(c) = -c - 1. Let j(g) = -2*g - 1. Suppose 131*z - 163*z + 128 = 0. Give z*h(d) - 4*j(d). 4*d Let q(s) = -3*s - 1. Let x(c) = c + 1. Determine q(t) + 2*x(t). -t + 1 Let s(v) = -3*v**3 + 35*v**2 - 3*v + 1. Let u(t) = -11*t**3 + 105*t**2 - 10*t + 4. Give 7*s(i) - 2*u(i). i**3 + 35*i**2 - i - 1 Let t(a) = 6*a - 14. Let q(v) = -13*v + 29. Determine -3*q(o) - 7*t(o). -3*o + 11 Let o(q) be the second derivative of 2*q**5/5 + q**4/2 +
{ "pile_set_name": "DM Mathematics" }
late (-727056)/11664*(-18)/(-11). -102 Evaluate 30/((-30)/(-420)*175)*(-3)/(-4). 9/5 ((-6069)/(-8092))/(3/(-28)) -7 Calculate 15*13/((-164268)/24)*75/(-125). 2/117 What is the value of 1206/(-5427)*(-198)/(-56)*(-18)/33? 3/7 Evaluate (-3)/6*-6*(-12)/(-2592). 1/72 Calculate (28/(-1820)*-1222)/(((-9)/((-45)/(-4)))/(-2)). 47 What is the value of -544*50/1280*8/5? -34 Calculate (-15)/18*24/(-134400)*-252. -3/80 Calculate (6/(-15))/((-76)/(-285))*78/27. -13/3 What is ((-3)/(6/(-4)))/(5/(((-4080)/(-64))/17))? 3/2 What is the value of (464*(-5)/(-160))/((-8)/16)? -29 Evaluate (1987/(-431179))/((-4)/(-84)*3). -1/31 Calculate (-99)/(-1)*(7/(49/(-28)))/(-18). 22 ((-192)/60*2/(-104))/((-1924)/(-962)) 2/65 Calculate (9/((-9)/(-8)))/(47/(329/(-294))). -4/21 What is 90/(-2)*(-1495)/411125*(-11)/(-6)? 3/10 What is the value of (846260/(-19912))/((-1)/2)? 85 Calculate 60/5*-13*((-16)/32)/((-6)/4). -52 Evaluate (-1880)/18612*11/(-2). 5/9 What is -152*(-1236)/(-1030)*(-5)/((-5)/((-5)/(-12)))? -76 Evaluate (1270/635)/((-12)/(-9))*((-3)/25)/3. -3/50 3/(((-72)/(-30))/((-220)/200*-4)) 11/2 What is the value of (135/(-85))/(675/(-3825))? 9 Calculate (10/(-325))/((-1857)/6190*(-2)/6). -4/13 What is 5/((1508/(-390))/29*30/36)? -45 Evaluate (135/(-7830)*12)/(-6). 1/29 (-3)/(-7470)*10*(-42)/(280/20) -1/83 Calculate (0*(-11)/484)/2. 0 Calculate 74/(-1369)*-37*(12/74)/(-3)*1. -4/37 What is the value of ((210/(-4))/21)/((-12005)/(-294))? -3/49 What is the value of (117/45)/(-4*6/120)? -13 What is the value of ((-1664)/(-120640))/(1/(-5))? -2/29 Evaluate (-4)/(-256)*496*-2. -31/2 Calculate (-42)/1008*(-82)/(-41). -1/12 Calculate (-72)/4*(-3)/15*1330/4389. 12/11 Evaluate 1*22/(-165)*170/(-136). 1/6 ((-7448)/228*8/(-56))/((-2)/(-12)) 28 14706/1634*(-2)/765 -2/85 Evaluate (20/130)/(109263/6149). 2/231 Evaluate ((-12529)/2278)/(4/(-24)). 33 ((-11)/((-7480)/136))/(4/(-10)) -1/2 What is ((-2520)/3500)/((-4)/(-280)*18/(-3))? 42/5 Calculate 30*40/(-450)*405/20. -54 16/(-16)*(-73)/292*7*-8 -14 What is the value of (3236/84945)/((-1)/(-5))? 4/21 Calculate (3/(-50))/(82118/(-54025)). 3/76 What is the value of -4*((320/(-70))/(-16))/((-1)/(-7)*-5)? 8/5 What is the value of (304/57)/(-7*(-56)/441)? 6 What is ((151293/846)/(-29))/(2/12)? -37 What is the value of ((45/(-4))/((-21)/(-42)))/(6*14/(-168))? 45 Evaluate ((6/4)/(24/320))/(((-4824)/360)/67). -100 What is 33978/(-19416)*(-1)/((-42)/(-152))? 19/3 Calculate ((-1)/(45/(-8)))/(17500/21875). 2/9 (3264/(-128)*-20)/((-12)/2) -85 What is the value of (((-6480)/(-700))/18)/(4/(784/42))? 12/5 Evaluate ((-899)/116)/((-3)/(-1)*4/(-96)). 62 What is 96/(-408)*(-5814)/35568? 1/26 Evaluate ((-3)/(27/(-12)))/((-93012)/(-9099)). 3/23 What is ((-4)/30)/((5940/(-525))/(-99))? -7/6 ((-25)/550)/((-15)/27*108/90) 3/44 ((-56)/(-175))/((-2552)/(-290))*-5 -2/11 What is (((-63)/252)/(15/(-468)))/1? 39/5 Evaluate ((-10908)/303)/(1836/(-24)). 8/17 Evaluate (-6)/36*107/((-4387)/(-246))*41*1. -41 What is -6*(-4)/(-7686)*((-108955)/(-110))/(-283)? 2/183 Evaluate (-12)/(-9)*6*(-567)/(-168). 27 Calculate 918/(-2754)*(-9)/300. 1/100 What is 0/(-5)*(-916)/10992? 0 What is 7/7*-1*(88/462)/(-4)? 1/21 What is -5*(-9)/(-5)*(3757/(-39))/(-17)? -51 What is the value of (-125)/84750*-113*18*17? 51 Calculate (-1139)/(-469)*9/(-51). -3/7 (((-30)/8)/(-3))/(3280/(-39360)) -15 Calculate ((-125)/(-225))/(365/7227). 11 What is ((-26)/4)/(17563/102676)? -38 Calculate 175/(-14)*8036/(-1225). 82 Evaluate 50/(-8)*(-42)/(-15)*6740/(-2359). 50 42284/(-18414)*54/(-16) 31/4 -43*(-112)/(-5152)*46/2 -43/2 What is (22/77)/((-4192)/(-336)*(-99)/66)? -2/131 What is ((6/10)/(10*477/(-10600)))/((-2)/(-18))? -12 What is the value of 5/((-20)/(-72))*(-1910)/(-1910)? 18 (-224183)/(-18177)*12/4514 2/61 What is (10*38/760)/(6/1212)? 101 Evaluate ((-16)/18)/(1436/(-42003)). 26 Evaluate (-680)/24*384/120*(-39)/(-52). -68 ((-10)/60)/(1192/18774) -21/8 Evaluate 6650/7600*2/10*30/(-42). -1/8 Evaluate (17/((-935)/(-66)))/((-93)/775). -10 What is the value of (3/10*-2)/((-262599)/276420)? 12/19 What is ((-51)/22)/(-51)*-72? -36/11 What is 56/10*19*(-1010)/(-13433)? 8 ((42/4)/3)/(((-1717)/170)/101) -35 88/7920*(-24)/18 -2/135 What is the value of (20/6)/((-135)/(-10)*1/((-207)/92))? -5/9 ((-24)/14)/((-8096)/212520) 45 -14*(-33)/168*49*(-64)/(-112) 77 (-4)/8*-25*(-78)/(-24375) 1/25 Calculate (-7)/33*195/(-1820). 1/44 (13/(117/54))/((2652/104)/(3/(-2))) -6/17 Calculate (44*1260/215600)/(2/35). 9/2 What is the value of (45/(-80))/(222/(-4144))*(-36)/231? -18/11 Evaluate (-1)/((1/(-4)*1)/(76*160/(-6785280))). -2/279 Evaluate (38/171*-21)/(((-40)/8)/(-15)). -14 What is ((-840)/(-630)*(-9)/2)/(5/((-25)/45))? 2/3 Calculate ((-14)/(210/15))/((-18)/4*(-363)/(-99)). 2/33 What is 98/105*45/(-12)? -7/2 What is the value of (656/(-5740))/(8/112)? -8/5 What is (-13265)/(-137956)*8/5? 2/13 30/(-55)*(-44)/16*(-7590)/207 -55 Calculate ((-7)/(4214/56))/(-3*(-10)/15). -2/43 Calculate 22/(126720/(-162))*(-1)/(39/(-52)). -3/80 What is 140*15/120*30256/(-3416)? -155 (-12)/(-3)*((-6)/273)/((-384)/(-2016)) -6/13 Calculate (((-660)/17820)/((-2)/27))/(-3*3/(-702)). 39 What is the value of (12/3465*10)/(((-24)/(-66))/(30/(-55)))? -4/77 Calculate (40/(-80))/((12/36)/((-2)/3)*-1). -1 What is 496/(-3224)*(-65)/435? 2/87 Evaluate ((352/(-40))/(-11))/((-47874)/(-1185)). 2/101 (((-20)/(-10))/2)/((-30)/30)*(-320)/(-10) -32 What is ((1036/(-111))/(-28))/(129/18)? 2/43 (((-3672)/476)/(-54))/(-1*1/21) -3 What is the value of (64/((-5760)/918))/(((-1)/5)/(4/6))? 34 What is the value of (408/765)/((-1002)/(-835))? 4/9 Evaluate ((13787/(-38928))/((-5)/80))/(((-2)/2)/(-9)). 51 What is (12883/(-18829))/(11/(-1672))? 104 What is the value of 75/(-200)*9/(333/296)? -3 Calculate ((-69)/(2898/84))/137. -2/137 What is (-6970)/(-15334)*(-44)/(-105)? 4/21 What is the value of (116/2494)/((-7878)/(-4343))? 1/39 What is 12/18*(-12876)/(-296)? 29 Calculate (27*(-24)/(-108))/(10/((-160)/(-84))). 8/7 What is the value of ((-66)/(-1408))/(36/2304)? 3 Evaluate (6/(-8))/(132*(-100)/(-105600)). -6 What is the value of (-69)/(-4186)*13*4/(-60)? -1/70 (16/(-112))/(1150/(-805)) 1/10 What is the value of ((-308)/126)/(((-20384)/432)/91)? 33/7 What is 33/(3960/(-160))*(3/(-4))/(55/143)? 13/5 What is the value of ((-9)/(-6))/((-531)/(-6726))? 19 (190/60420*-106)/((-2)/(-78)) -13 What is (1140/1824)/((-30)/(-40))? 5/6 Evaluate (((-32)/36)/(8*(-16)/416))/(2/2). 26/9 What is (23/(184/4))/((-15)/(-4))? 2/15 What is the value of ((-88)/22)/(((-120)/(-175))/((-9)/63))? 5/6 6/45*88000/1408 25/3 Calculate ((-306)/(-21))/(15094/52829). 51 (4/13696)/(85*(-15)/(-40800)) 1/107 (25/10*(-1300)/(-50))/((-5)/(-7)) 91 Evaluate ((-46)/(-115)*(-10)/(-6))/((-10)/((-30)/19)). 2/19 Evaluate (((-279450)/(-50))/(-81))/3. -23 Evaluate (447/1341)/((-24)/27). -3/8 ((-7296)/240)/(40/(-75)) 57 Evaluate ((-4)/54)/(-1)*47/((-1504)/(-96)). 2/9 What is (-2)/(32/12)*(-2*(-5)/40)/3? -1/16 Calculate 14/((16884/(-180))/67). -10 What is (-24980)/(-389688)*4/5? 2/39 9/3*(-366)/732*2 -3 Calculate (-9*50/2520)/(17/(595/(-50))). 1/8 Calculate (37978/(-5585))/((-12)/10). 17/3 (60/(-4))/(708885/(-534)) 2/177 Evaluate ((-53628)/(-26160))/((1/12)/(3/9))*-5. -41 Evaluate 1*-11*16490/(-10670). 17 What is ((-6)/(-24))/(((-473)/1012)/43)? -23 What is (9/12)/((-6)/20)*-13*(-90)/1950? -3/2 Evaluate 3/8*31*(-1274)/(-8463). 7/4 What is the value of -2*14/(-6)*((-42)/(-126))/(204/(-54))? -7/17 Calculate 16*(4/(-22))/(14*28/4312). -32 What is the value of (0/(-1))/(93418/(-7186))? 0 (5/34)/((-142)/(112464/(-110))) 18/17 What is 1/(5/(70/287))? 2/41 Calculate (-5)/(5*(-14)/14*((-7)/(-1))/126). 18 What is the value of 258/10*365/219? 43 Calculate 0/(-8)*(43/3)/(-43). 0 Evaluate (1/(-1)*((-567)/9)/21)/(21/(-196)). -28 Evaluate (((-66)/11)/12)/((-166)/24236). 73 Calculate ((-460)/15)/(-1)*(2/(-9))/((-184)/(-207)). -23/3 Calculate ((-231)/((-88)/(-8)))/((5/10)/((-65)/30)). 91 What is (1/(-2)*1)/((2416/(-19328))/((-2)/328))? -1/41 Evaluate 4/(-28)*21063/8024. -3/8 Evaluate (25/45)/(-5)*9540/(-118190). 2/223 Evaluate 3/(((-28)/3)/(-14))*(-174)/9. -87 What is ((-3)/(-18)*4)/((2/(-18))/((-512)/(-1536)))? -2 Evaluate (10/22)/(14*(-1335)/(-2492)). 2/33 Calculate ((-301)/(-774))/(175/(-3000)). -20/3 Evaluate ((-52)/(-78))/(10/(-5)
{ "pile_set_name": "DM Mathematics" }
13744 unequal? True Is 1728 at most -610476? False Which is smaller: 16901889 or 135215115/8? 16901889 Is -133/425044 at least as big as 1? False Which is bigger: -1/1151631329 or 1? 1 Which is smaller: 361352 or 361487? 361352 Which is smaller: -1 or -1/3983327? -1 Is 35658722 < 35658722? False Is -131722450 smaller than -131722451? False Is 97696264/3 at most as big as 32565422? True Is 40125999 < 40125998? False Are -1219 and -451810/371 unequal? True Is -220 less than 4/25861? True Is -4247053 < -4247046? True Is -1 bigger than 2/10156899? False Which is smaller: -4233799 or 0? -4233799 Are 1/4 and -2451405560 equal? False Is -2059339 < -10296702/5? False Is 1 not equal to -781/83139? True Which is smaller: -5726 or -45563? -45563 Are 23 and -5670087 unequal? True Is 33/3245827 < 0? False Is 343578/149 greater than or equal to 2305? True Which is smaller: -1/6 or 26579/1835? -1/6 Is -3610 less than -52359? False Do -46695797 and -46695797 have the same value? True Which is greater: -853889 or -853729? -853729 Which is smaller: -8439 or -2066? -8439 Is 18298 at least 26257? False Which is smaller: -19147 or -12316? -19147 Are 858027/13 and 66001 equal? False Is -379168 < -149/2? True Which is bigger: -0.06358731 or 76? 76 Which is smaller: 5392/137233 or 1? 5392/137233 Are -1 and 5650/56867 unequal? True Is -3388282 less than or equal to -3388287? False Is 10579658 bigger than 10579656? True Is -14/414426907 less than 1? True Which is smaller: -14158672 or -14158680? -14158680 Is -301 >= -320484/1069? False Is 15.09 > -0.09122? True Which is greater: 1/933 or 2711.6? 2711.6 Is 2253182 at most as big as 2253214? True Which is greater: -31172/161 or -194? -31172/161 Is -831513 not equal to -831515? True Is 198341 != 198341? False Which is greater: -1248867 or -1248866? -1248866 Is 46.99197 <= 18? False Which is smaller: 2803243 or 2803241? 2803241 Which is smaller: -263243/17 or -15486? -15486 Are 139.608 and 978 equal? False Which is smaller: -9/7221373 or -1? -1 Do -6378906 and -6378935 have different values? True Which is greater: -1420281 or -1419678? -1419678 Does -608/68843 = -1? False Is -4088 greater than 63758? False Is 1 <= 10/88738287? False Do -0.05677 and -912 have different values? True Do 86 and 218298/2527 have different values? True Does -616561 = -616551? False Which is smaller: 0 or 6/4501091? 0 Which is greater: 139948333 or 139948336? 139948336 Is 104947373 less than 104947373? False Which is smaller: -3582 or -442/21? -3582 Which is smaller: 2751 or 12/55? 12/55 Is -534478 bigger than -534460? False Which is bigger: 12470883 or 12470858? 12470883 Which is greater: 201095010/7 or 28727859? 28727859 Is -1 > -881891? True Which is smaller: -6 or -23335/3591? -23335/3591 Is 15 > 28797/1787? False Is 87/389950 at most as big as 1? True Which is greater: 4997430 or 4997408? 4997430 Which is smaller: -2715063 or -19005443/7? -19005443/7 Which is greater: -38/7 or 17988? 17988 Which is smaller: 45 or 6856? 45 Is -0.5 at least 9.1798? False Is 1.7628 < 0.0338? False Is 89.84 at most as big as 1672? True Which is smaller: -10264589 or -10264588? -10264589 Which is bigger: -1083 or -26585? -1083 Which is greater: 348 or 0.05826? 348 Is 8/3375139 less than or equal to -5? False Which is smaller: -1 or -8/86895? -1 Which is greater: -245 or -73307/301? -73307/301 Is -719/2 < 0.439274? True Is 13229543/11 bigger than 1202685? True Is -419/52901 less than or equal to -1? False Which is greater: -5/10441131 or 0? 0 Do 2400370/59 and 40683 have the same value? False Is -2599293 > -2599288? False Is -3018445 at least as big as -3018320? False Is -83 less than or equal to 37710? True Is 1036834 greater than 4? True Is 104073 greater than 103865? True Is -12/3068279 greater than or equal to 1? False Are 8 and 26251.1 unequal? True Does -4/14869203 = 1? False Which is bigger: -9772992/25 or -390920? -9772992/25 Which is smaller: -6.20383821 or -0.1? -6.20383821 Is 330 at most as big as 7/80539? False Which is bigger: -0.1 or 176291537? 176291537 Which is greater: -1/7899973 or -1? -1/7899973 Which is smaller: 2681820/11 or 243803? 2681820/11 Is -8183966 <= -8183966? True Is -60133 smaller than -60014? True Which is greater: 23663 or 23902? 23902 Which is smaller: 134056/93 or 1441? 1441 Which is smaller: 116219 or 116223? 116219 Which is smaller: -1524.7653 or -0.044? -1524.7653 Which is greater: 4550233 or 4550235? 4550235 Which is smaller: -996527 or -996568? -996568 Which is greater: 14732374 or 14732375? 14732375 Is -3230607 greater than -3230607? False Which is greater: 42118/509 or 82? 42118/509 Which is smaller: 717 or 5804? 717 Which is bigger: -5/29042 or -0.98? -5/29042 Is -2441256 smaller than -2441260? False Which is greater: 740391 or 18509799/25? 18509799/25 Which is greater: -179584812 or 0.1? 0.1 Which is smaller: 1464502 or 1464524? 1464502 Which is smaller: 13626602 or 13626555? 13626555 Which is smaller: -1706650 or -2? -1706650 Which is greater: 7/134770217 or 0? 7/134770217 Which is greater: 0.11 or -0.137643? 0.11 Is -1175 greater than or equal to 236? False Is -2084 at least as big as 25169? False Which is bigger: 14596 or 16886? 16886 Which is smaller: -5/66148332 or 1? -5/66148332 Is 2735740/327 < 8367? True Which is greater: -1 or -16322/8827? -1 Is 3593758/9 at least as big as 399307? False Which is greater: 1538752 or 1538755? 1538755 Which is smaller: -8535996 or -8535992? -8535996 Which is greater: 50 or 1219? 1219 Is 6885 greater than 1344? True Are -120448/159 and -759 unequal? True Is 282819 at most 0.014? False Does 2013 = 1684? False Do 1 and -116764030 have the same value? False Is -10654725 at most -10654721? True Which is smaller: -570 or 0.28278? -570 Which is smaller: 67921 or -14? -14 Which is greater: 1 or -756/277933? 1 Is -1 equal to -338/210995? False Do -898845 and -898775 have different values? True Is 197825843 bigger than 395651685/2? True Which is smaller: -240659597 or -1? -240659597 Which is smaller: -48618 or -52649? -52649 Which is greater: 0 or -16/23041829? 0 Is 3 at least 2096707? False Are -1 and -27743/17835 equal? False Is -774/41639 greater than 0? False Which is smaller: -2/135 or -1159? -1159 Which is bigger: 2420 or 360416/149? 2420 Is 3024999 less than 3024999? False Is 1/7016309 <= 0? False Are -174872 and -175008 equal? False Which is smaller: 11103 or 21907? 11103 Is -5616395 < -5616397? False Which is smaller: -3 or -35346/15875? -3 Which is bigger: 95/27811 or -1? 95/27811 Is -43711710/29 at least -1507301? True Which is greater: 27461124 or -0.19? 27461124 Is 0 at most as big as 157/212307? True Do 23 and -44686 have different values? True Which is smaller: 121872 or 2071828/17? 121872 Which is smaller: -288925 or -8956665/31? -288925 Which is greater: 0 or 1/18863437? 1/18863437 Is 4752563 bigger than 184? True Are -353 and -194363/552 non-equal? True Does -21 = 670176? False Which is bigger: 67378 or 66935? 67378 Which is smaller: 26359459 or 26359452? 26359452 Is -13 at least -7755328? True Are -1903.4418 and 26 equal? False Which is smaller: 103043 or 1133483/11? 103043 Which is smaller: -973380 or -973392? -973392 Is 1 < -18/107459431? False Is -2465176 less than -2465171? True Which is smaller: -1 or -12560/189517? -1 Is -1 != -1026/112883? True Which is smaller: 73 or 75564? 73 Is -30510888 less than -30510930? False Which is bigger: -0.3 or -488987/58? -0.3 Is 130 equal to 127926? False Which is greater: 0 or -1/350038379? 0 Is 3542 at most 1058? False Is -479240 < -476817? True Which is greater: -26 or 0.175051? 0.175051 Which is bigger: -494396749 or -494396750? -494396749 Which is smaller: -220745358 or -220745357? -220745358 Does -43109 = -1853696/43? False Which is smaller: 72553/12 or 6046? 6046 Which is smaller: -82721543 or -82721542? -82721543 Which is bigger: -15715816 or -15715813? -15715813 Which is greater: -21342 or -12635? -12635 Is -8659/12 at most -43? True Which is smaller: -92822 or -2877457/31? -92822 Is 17894819 less than or equal to 17894843? True Which is smaller: -1337/432784 or 0? -1337/432784 Which is greater: -10672/49031 or -1? -10672/49031 Is -672 at least as big as -12839? True Is 76600133/6 greater than or equal to 12766688? Tru
{ "pile_set_name": "DM Mathematics" }
17676937 List the prime factors of 590897066. 2, 47, 101, 109, 571 List the prime factors of 7146999113. 149, 47966437 What are the prime factors of 6759077278? 2, 83, 40717333 What are the prime factors of 314884794? 2, 3, 7, 31, 241847 List the prime factors of 59093330. 2, 5, 67, 89, 991 What are the prime factors of 183219018? 2, 3, 30536503 What are the prime factors of 2184391939? 173, 12626543 List the prime factors of 1101481661. 7, 19, 23, 397, 907 List the prime factors of 2914522242. 2, 3, 643, 755449 What are the prime factors of 18657904? 2, 29, 79, 509 What are the prime factors of 4488983765? 5, 7, 128256679 List the prime factors of 37899469. 23, 43, 38321 List the prime factors of 1294569353. 7, 11, 107, 157127 What are the prime factors of 59626197? 3, 971, 6823 List the prime factors of 1037026502. 2, 518513251 List the prime factors of 564023023. 419, 1346117 What are the prime factors of 4648219924? 2, 32939, 35279 What are the prime factors of 26628514? 2, 11, 1210387 What are the prime factors of 1408802088? 2, 3, 58700087 List the prime factors of 97402276. 2, 24350569 What are the prime factors of 70575012? 2, 3, 47, 53, 787 List the prime factors of 17524859. 11, 19, 71, 1181 List the prime factors of 79314532. 2, 11, 37, 43, 103 List the prime factors of 26933265. 3, 5, 31, 43, 449 List the prime factors of 28233442. 2, 37, 381533 What are the prime factors of 257976660? 2, 3, 5, 1163, 3697 List the prime factors of 233866745. 5, 7, 397, 16831 What are the prime factors of 2979511114? 2, 1153, 1292069 List the prime factors of 986758322. 2, 11, 2113, 21227 List the prime factors of 1044381206. 2, 11, 991, 47903 What are the prime factors of 74765021? 74765021 What are the prime factors of 54767638? 2, 31, 43, 20543 List the prime factors of 317767677. 3, 105922559 What are the prime factors of 229449545? 5, 13, 743, 4751 What are the prime factors of 769495670? 2, 5, 67, 1148501 What are the prime factors of 420701294? 2, 13, 1163, 13913 List the prime factors of 808211798. 2, 404105899 List the prime factors of 32969246. 2, 16484623 List the prime factors of 15277397. 47, 325051 List the prime factors of 87249462. 2, 3, 14541577 What are the prime factors of 803831128? 2, 17, 5910523 List the prime factors of 5391496922. 2, 7, 1483, 259681 List the prime factors of 55850170. 2, 5, 89, 62753 List the prime factors of 222181392. 2, 3, 941, 4919 What are the prime factors of 592579024? 2, 131, 269, 1051 What are the prime factors of 1069184619? 3, 118798291 What are the prime factors of 659980420? 2, 5, 11, 2999911 List the prime factors of 3937126169. 17, 5669, 40853 What are the prime factors of 1765704719? 61, 28945979 What are the prime factors of 328173077? 29, 11316313 What are the prime factors of 1284655779? 3, 11, 17, 31, 24623 List the prime factors of 90435891. 3, 7, 13, 29, 11423 What are the prime factors of 360758154? 2, 3, 60126359 What are the prime factors of 69175109? 103, 671603 What are the prime factors of 437934739? 11, 17, 2341897 What are the prime factors of 54592557? 3, 149, 122131 What are the prime factors of 236425135? 5, 47285027 What are the prime factors of 110329243? 71, 827, 1879 List the prime factors of 186800431. 59, 367, 8627 What are the prime factors of 15120485? 5, 19, 8377 List the prime factors of 268386368. 2, 167, 25111 List the prime factors of 168545519. 241, 761, 919 List the prime factors of 112875109. 112875109 List the prime factors of 42996333. 3, 2903, 4937 What are the prime factors of 66468481? 47, 557, 2539 What are the prime factors of 426014415? 3, 5, 1229, 7703 List the prime factors of 2416505992. 2, 302063249 What are the prime factors of 2731254? 2, 3, 17, 26777 What are the prime factors of 203324748? 2, 3, 11, 53, 29063 List the prime factors of 25200651. 3, 7, 251, 683 What are the prime factors of 33473109? 3, 251, 44453 List the prime factors of 918222068. 2, 2447, 93811 List the prime factors of 855038582. 2, 427519291 List the prime factors of 3510349546. 2, 11, 283, 563821 List the prime factors of 77781495. 3, 5, 11, 471403 List the prime factors of 238230428. 2, 241, 421, 587 List the prime factors of 128155765. 5, 25631153 List the prime factors of 27533411. 27533411 What are the prime factors of 1128206169? 3, 29, 293, 14753 List the prime factors of 421279083. 3, 15602929 What are the prime factors of 101451184? 2, 19, 333721 List the prime factors of 31012352. 2, 7, 17, 509 List the prime factors of 1305577493. 11, 31, 3828673 List the prime factors of 1217968054. 2, 608984027 What are the prime factors of 359473927? 313, 419, 2741 What are the prime factors of 225190770? 2, 3, 5, 7, 153191 List the prime factors of 4796889840. 2, 3, 5, 6662347 What are the prime factors of 110651480? 2, 5, 2766287 List the prime factors of 122009490. 2, 3, 5, 31, 43, 113 List the prime factors of 107356592. 2, 7, 958541 What are the prime factors of 2686465? 5, 89, 6037 What are the prime factors of 18358141? 149, 123209 List the prime factors of 500705080. 2, 5, 17, 61, 12071 What are the prime factors of 154448704? 2, 2413261 List the prime factors of 1579824031. 1579824031 What are the prime factors of 46164040? 2, 5, 13, 6829 List the prime factors of 8183979587. 7, 18307, 63863 What are the prime factors of 172060669? 11, 1421989 What are the prime factors of 346539582? 2, 3, 137, 140527 What are the prime factors of 2524412883? 3, 239, 3520799 What are the prime factors of 292004232? 2, 3, 13, 47, 19913 What are the prime factors of 488659440? 2, 3, 5, 2036081 What are the prime factors of 22048731? 3, 2449859 List the prime factors of 1223867134. 2, 7, 87419081 List the prime factors of 2145975279. 3, 7, 23, 31, 331, 433 What are the prime factors of 71426505? 3, 5, 89, 53503 What are the prime factors of 70878987? 3, 19, 29, 14293 What are the prime factors of 255591431? 1123, 227597 List the prime factors of 1391644882. 2, 79, 8807879 What are the prime factors of 132447834? 2, 3, 1187, 6199 List the prime factors of 46686152. 2, 5835769 What are the prime factors of 96780341? 7, 167, 11827 List the prime factors of 10487492. 2, 197, 13309 List the prime factors of 17793902. 2, 7, 53, 23981 List the prime factors of 11852368. 2, 11, 67343 What are the prime factors of 84682738? 2, 7, 43, 163, 863 What are the prime factors of 64145317? 53, 1210289 What are the prime factors of 8020468771? 7, 1145781253 What are the prime factors of 153147091? 971, 157721 List the prime factors of 93586518. 2, 3, 41, 211, 601 What are the prime factors of 14608619? 1549, 9431 List the prime factors of 2267055262. 2, 19, 59659349 What are the prime factors of 375893944? 2, 46986743 List the prime factors of 899831454. 2, 3, 17, 8821877 List the prime factors of 194596968. 2, 3, 8108207 List the prime factors of 298950971. 11, 317, 85733 What are the prime factors of 824450540? 2, 5, 41222527 What are the prime factors of 209399289? 3, 11, 83, 89, 859 List the prime factors of 127788275. 5, 521, 9811 List the prime factors of 2643459258. 2, 3, 11, 47, 852179 What are the prime factors of 155881161? 3, 17320129 List the prime factors of 822446453. 822446453 List the prime factors of 4693863429. 3, 521540381 What are the prime factors of 70091012? 2, 79, 221807 List the prime factors of 240407084. 2, 647, 92893 List the prime factors of 669672911. 331, 443, 4567 What are the prime factors of 36126021? 3, 73, 293, 563 What are the prime factors of 144238018? 2, 47, 241, 6367 List the prime factors of 5866826. 2, 7, 419059 List the prime factors of 93434655. 3, 5, 449, 13873 What are the prime factors of 448691758? 2, 1361, 164839 What are the prime factors of 104249792? 2, 233, 6991 What are the prime factors of 202057117? 202057117 What are the prime factors of 2980889524? 2, 745222381 List the prime factors of 95308650. 2, 3, 5, 101, 233 List the prime factors of 656014286. 2, 67, 4895629 What are the prime factors of 35155556? 2, 487, 18047 List the prime factors of 165664893. 3, 113, 488687 List the prime factors of 134043443. 134043443 List the prime factors of 11050689. 3, 13, 41, 6911 What are the prime factors of 454772639? 859, 529421 List the prime factors o
{ "pile_set_name": "DM Mathematics" }
1*t - 612. Give c(8). 212 Let m(j) = -83*j**2 + 29*j - 68. Calculate m(2). -342 Let b(w) = 578140*w - 7515807. Calculate b(13). 13 Let j(w) = -5*w**3 + 8*w**2 + 136*w + 247. Calculate j(-2). 47 Let s(u) = -14416*u - 144544. Calculate s(-10). -384 Let q(z) = 48*z**2 - 24*z - 1054. Calculate q(5). 26 Let q(c) = c**3 - 26*c**2 - 205*c + 1580. Determine q(31). 30 Let k(y) = 362*y + 18608. Give k(-52). -216 Let n(b) = 4*b**2 - 224*b + 1725. What is n(47)? 33 Let u(w) = -3*w**3 - 4*w**2 + 297*w - 25. Calculate u(0). -25 Let q(u) = -3*u**2 + 1293*u + 337117. Determine q(-183). 31 Let l(v) = v**2 - 11262*v + 123756. Give l(11). -5 Let h(z) = z**3 + 19*z**2 + 116*z + 8893. Determine h(-28). -1411 Let z(q) = 7376*q - 81194. Give z(11). -58 Let u(r) = 10*r**2 + 217*r - 250. Give u(-10). -1420 Let t(d) = d**3 + 19*d**2 - 145*d - 2532. Give t(-11). 31 Let d(c) = 3*c**2 + 3463*c - 45544. Calculate d(13). -18 Let i(u) = -5*u**3 + 40*u**2 + 172*u + 27. Give i(11). 104 Let k(a) = a**2 + 434*a - 22613. Give k(47). -6 Let l(i) = -1085*i**2 + 2227*i - 68. Calculate l(2). 46 Let h(z) = -z**3 + 157*z**2 + 5643*z - 6161. Determine h(187). 10 Let w(u) = 14466*u + 86946. Calculate w(-6). 150 Let k(c) = 25281*c**2 - 1921346*c - 757. What is k(76)? 3 Let h(m) = 149*m + 6832. Give h(-48). -320 Let o(u) = -89937*u - 3507543. Give o(-39). 0 Let l(u) = -1388*u + 47212. Give l(34). 20 Let w(h) = 217*h**2 + 77695*h + 3287. Determine w(-358). 65 Let a(w) = 3531*w + 271894. What is a(-77)? 7 Let g(f) = f**3 + 104*f**2 + 687*f + 10. Give g(-7). -46 Let i(c) = 2*c**2 - 618*c + 15210. Give i(27). -18 Let i(b) = -b**3 - 85*b**2 - 259*b - 643. What is i(-82)? 423 Let f(n) = 180*n - 7013. What is f(41)? 367 Let o(b) = 3*b**3 + 2135*b**2 + 7792*b + 2878. What is o(-708)? 46 Let v(a) = -7926*a - 120436. Calculate v(-15). -1546 Let j(m) = -171*m**2 - 321*m - 20. What is j(-3)? -596 Let g(i) = 7*i**2 - 134*i - 11375. Give g(51). -2 Let a(z) = -68*z**3 + 38*z**2 + 2*z - 79. Give a(3). -1567 Let s(q) = -5953*q - 1303687. Calculate s(-219). 20 Let w(a) = 353960*a - 4601487. Give w(13). -7 Let c(i) = -2*i**3 + 56*i**2 + 724*i - 3660. Determine c(4). 4 Let g(r) = 74*r**3 - 75*r + 181. Give g(3). 1954 Let b(f) = 3*f**2 + 8815*f - 567256. Give b(63). -4 Let a(w) = 1671387*w - 38441911. Determine a(23). -10 Let i(n) = -970*n - 21375. Calculate i(-22). -35 Let z(l) = 13*l**2 - 172*l + 410. What is z(3)? 11 Let k(c) = c**3 - 28*c**2 - 243*c - 188. Determine k(-9). -998 Let b(y) = -225*y + 532. What is b(-13)? 3457 Let r(a) = -45*a**2 - 45*a + 121. Calculate r(4). -779 Let v(a) = -100*a**3 - 2400*a**2 - 2*a - 40. Calculate v(-24). 8 Let z(o) = -12*o**2 - 73*o - 273. Determine z(-4). -173 Let f(x) = 4*x**2 - 1107*x - 7950. What is f(-7)? -5 Let g(n) = 4*n**2 - 36728*n + 1681063. Calculate g(46). 39 Let i(k) = k**2 - 55*k - 81888. Give i(315). 12 Let h(o) = 53724*o + 376117. Give h(-7). 49 Let u(r) = -r**2 + 289*r - 20368. What is u(128)? 240 Let j(l) = 6*l**3 - 147*l**2 - 57*l - 10. Give j(24). -3106 Let r(q) = -1677*q - 222987. Calculate r(-133). 54 Let a(m) = 6*m**3 - 472*m**2 - 76*m - 6493. Determine a(79). -15 Let h(x) = 30*x**3 + 267*x**2 + 3106*x + 28197. Give h(-9). 0 Let u(c) = 7*c**3 + 6*c**2 - 228*c + 920. Give u(7). 2019 Let q(b) = -10737*b + 5894612. Calculate q(549). -1 Let i(o) = o**2 - 1009*o + 252976. Give i(544). 16 Let n(l) = l**3 + 10*l**2 - 64*l - 290. Calculate n(-12). 190 Let u(p) = -p**3 - 15*p**2 + 1881*p - 7056. What is u(-53)? -7 Let b(m) = 15*m**2 - 243*m + 923. Calculate b(6). 5 Let n(l) = 11*l**2 + 270. Calculate n(-17). 3449 Let f(x) = 350*x - 28341. Calculate f(81). 9 Let n(w) = -512*w + 28602. Calculate n(56). -70 Let g(b) = 5*b**3 + 33*b**2 - 2*b - 709. Calculate g(0). -709 Let u(w) = w**3 - 32*w**2 - 539*w + 4863. What is u(42)? -135 Let u(y) = 8752*y - 87590. What is u(10)? -70 Let y(o) = 1839*o**2 + 121366*o - 8. Determine y(-66). 520 Let d(u) = -9*u**2 + 146*u + 190912. Give d(154). -48 Let i(j) = j**2 + 811*j + 5715. Calculate i(-7). 87 Let h(u) = u**3 - 561*u**2 - 2146*u + 256052. What is h(564)? -4 Let l(d) = d**3 + 98*d**2 + 476*d + 35894. Give l(-97). -869 Let m(r) = 5*r**2 - 94*r + 588. What is m(9)? 147 Let a(z) = 8*z**3 - 20*z**2 - 111*z + 311. What is a(3)? 14 Let f(i) = -i**3 - 62*i**2 - 622*i + 141. Determine f(-14). -559 Let t(u) = -u**2 + 7500*u + 384789. What is t(-51)? -312 Let q(u) = -134*u + 4938. Calculate q(33). 516 Let b(c) = c**3 + 168*c**2 + 235*c + 7459. Give b(-167). -3897 Let u(s) = 61573*s + 492576. Determine u(-8). -8 Let i(p) = p**3 - 28*p**2 + 45*p + 191. Give i(4). -13 Let b(m) = m**3 + 180*m**2 + 5297*m + 875. Give b(-143). 17 Let c(x) = 2091*x**2 + 10449*x - 8. Calculate c(-5). 22 Let k(m) = 11190*m**2 - 2137292*m + 378. Determine k(191). -4 Let d(w) = 2*w**2 + 292*w + 6250. Determine d(-27). -176 Let o(h) = 267429*h + 2. What is o(0)? 2 Let g(t) = -2068*t - 2043171. Calculate g(-988). 13 Let w(h) = -109*h**2 - 2020*h + 963. Calculate w(-19). -6 Let p(r) = -r**3 - 22*r**2 + 182*r + 3229. What is p(-24)? 13 Let t(k) = 15529*k + 4068575. What is t(-262)? -23 Let d(l) = -484187*l + 3389332. Calculate d(7). 23 Let s(k) = -k**3 + 183*k**2 - 3120*k + 56. Determine s(19). -20 Let s(m) = 20*m**2 - 23014*m - 69055. What is s(-3)? 167 Let x(l) = -26*l**2 - 769*l - 2946. Give x(-25). 29 Let i(r) = 8*r**3 + 276*r**2 - 433*r - 57. What is i(-36)? -21 Let l(r) = -33854*r + 440092. What is l(13)? -10 Let o(u) = -u**2 + 2563*u + 54248. Calculate o(-21). -16 Let c(i) = -i**3 - 273*i**2 - 3134*i - 548. Determine c(-261). -26 Let k(p) = -1530*p + 5574. Calculate k(3). 984 Let z(i) = -51*i**3 - 354*i**2 - 55. Determine z(-7). 92 Let u(f) = -78*f**2 - 730*f - 181. Give u(-8). 667 Let f(y) = y**3 + 2221*y**2 + 22121*y + 100. Give f(-10). -10 Let i(z) = -1472*z - 119141. What is i(-81)? 91 Let a(w) = 23*w**3 - 1424*w**2 - 106*w + 70. Give a(62). 1186 Let j(g) = 361*g + 110394. Calculate j(-309). -1155 Let z(k) = k**3 - 33509*k**2 - 435788*k + 7. Determine z(-13). 33 Let n(i) = i**2 - 73*i + 599. Give n(75). 749 Let l(j) = -56372*j + 507423. Calculate l(9). 75 Let c(d) = -599*d - 4016. Calculate c(-6). -422 Let v(a) = -5389*a + 43264. Give v(8). 152 Let d(b) = b**2 - 159*b + 5774. Determine d(57). -40 Let n(a) = -7*a**3 + 6*a**2 - 16*a - 34. Give n(3). -217 Let g(a) = 2*a**2 - 24324*a + 121545. What is g(5)? -25 Let d(s) = 2299*s**2 + 6918*s + 73. Calculate d(-3). 10 Let w(z) = z**3 + 120*z**2 - 481*z + 445. Determine w(-124). -1415 Let v(a) = -2*a**2 - 3534*a + 38726. Give v(11). -390 Let j(q) = -q**3 + 36*q**2 - 159*q + 11. Give j(5). -9 Let z(w) = -84*w + 532. Determine z(3). 280 Let z(l) = 3*l**2 + 49*l - 1339. Give z(18). 515 Let u(a) = 26*a - 1046. What is u(45)? 124 Let k(w) = w**3 + 66*w**2 - 1506*w - 104578. Give k(-64). -2 Let z(v) = v**3 - 40*v**2 - 42*v - 8. What is z(-1)? -7 Let x(v) = 2*v**2 + 335*v + 12539. What is x(-98)? -1083 Let g(r) = r**2 + 81*r - 6843. What is g(51)? -111 Let z(i) = 5*i**2 + 76*i - 31. Give z(-16). 33 Let w(r) = 11669*r + 34436. Determine w(-3). -571 Let b(s) = -4*s**2 - 969*s - 7411. What is b(-8)? 85 Let k(n) = n**3 - 55*n**2 + 394*n - 92. Give k(8). 52 Let i(k) = k**3 + 42*k**2 + 18*k + 682. Determine i(-43). -1941 Let f(w) = -w**3 + 2*w**2 + 348*w + 249. Calculate f(20). 9 Let m(n) = 5*n**3 - 22*n**2 - 20*n + 45. Determine m(-6). -1707 Let w(h) = -26937*h - 7084427. Determine w(-263). 4 Let s(c) = 15*c**3 + 68*c**2 + 14*c + 77. Calculate s(-4). 149 Let z(r) = -1279*r**2 - 10*r - 22. Give z(-1). -1291 Let i(s) = 1317*s - 12026. Determine i(10). 1144 Let z(f) = -115*f**2 + 10122*f - 253. Determine z(88). -77 Let i(x) = -37055*x + 185287. Calculate i(5). 12 Let y(u) = 57*u**2 - 24547*u + 192729. Calculate y(8). 1 Let k(a) = -1256*a + 25198. What is k(20)? 78 Let m(b) = -b**3 + 62*b**2 + 515*b - 7240. Determine m(68). 36 Let x(m) = -2*m**3 + 425*m**2 - 192*m - 3353. Give x(212). 887 Let y(p) = -4272*p - 93969. Give y(-22). 15 Let i(c) = -c**3 + 20*c**2 + 917*c - 4946. Give i(5). 14 Let u(b) = -5*b**2 - 29*b + 721. Calculate u(13). -501 Let g(u) = -1587*u + 19047. Determine g(12). 3 Let g(p) = 2949*p - 17772. Give g(6). -78 Let l(h) = -h**3 + 19*h**2 + 470*h + 2061. Determine l(-8). 29 Let x(m) = -1015*m + 335520
{ "pile_set_name": "DM Mathematics" }
st one hundred thousand? 600000 Let o(f) = -36998*f - 40. Let g be o(20). Round g to the nearest 100000. -700000 Let w be 102/1*(-56622)/(-12). Suppose -2*k = -w + 1701287. Round k to the nearest one hundred thousand. -600000 Suppose 4*j + 2*n = 14, -2*j - 2*n = -0*j - 12. Let d be (-1 - j) + 2100000 + 2. Round d to the nearest 1000000. 2000000 Let p = 2417974 - 1607964. Suppose b + 0*h = 5*h + p, -b + 809996 = 2*h. Round b to the nearest 100000. 800000 Let l be (4/(-6))/(12/(-90)). Suppose l*s + 69945611 = 25445611. Round s to the nearest 1000000. -9000000 Suppose -3*x + 9 = -3. Suppose 9390 = -2*o + x*o. Suppose 5*h + 4*v = -5830, -4*h - 4*v + 7*v - o = 0. What is h rounded to the nearest one hundred? -1200 Let h = 9 - 13. Let t(s) = -7 + 1 + 49*s + 2. Let y be t(h). Round y to the nearest 100. -200 Suppose -2*l = x + 2*l + 35992, l - 2 = 0. Round x to the nearest 10000. -40000 Let n = 0.047958 - 0.048. What is n rounded to 5 decimal places? -0.00004 Let m = 83848.6886 + -83880. Let x = 15.3128 + m. Let n = 16 + x. What is n rounded to 3 decimal places? 0.001 Let g = 0.099 - -2.041. Let m = g + -2.488. Let h = m + 0.347809. Round h to 5 dps. -0.00019 Let o = -2.5 - -1. Let a = o - -0.5. Let p = a + 0.9942. What is p rounded to 3 decimal places? -0.006 Let o = -1 - -1.55. Let m = 0.54999911 - o. Round m to seven dps. -0.0000009 Let s = -76.0000078 + 76. Round s to 6 decimal places. -0.000008 Suppose 4*m - 8 = 2*m. Let x(r) = r**3 + 7*r**2 + 7*r + 5. Let b be x(-4). Suppose -2*z - 3*z - b = 0, -5*y - 38999980 = -m*z. Round y to the nearest 1000000. -8000000 Let r = 65 - 125. Round r to the nearest 10. -60 Let h = -0.3 - -0.2. Let t = 104 + -103.898. Let o = t + h. What is o rounded to two decimal places? 0 Let q = 4.3 + -4.76. What is q rounded to 1 dp? -0.5 Let s = -5 - -8.2. Round s to zero decimal places. 3 Let o = 2.50044 + -2.5. Round o to 4 decimal places. 0.0004 Suppose 3*v + k + 2 = 7, v = 2*k + 11. Let w be (-4*4)/(v/1650). What is w rounded to the nearest 1000? -9000 Let x = 0.38 - 0.38077. Round x to four dps. -0.0008 Suppose 0 = -0*f - 2*f - 18. Let n = -3 - f. Suppose 0 = -v + n*v + 40. Round v to the nearest ten. -10 Suppose 0 = -7*l + 4*l + 3*z - 975, 2*l = -5*z - 664. Round l to the nearest 10. -330 Let m = -0.1 - 0.9. Let l = 1.705 + -2.71. Let p = l - m. What is p rounded to 2 dps? -0.01 Suppose 2*b - 916 = -3*a, -6*a - 1369 = -3*b - 8*a. Round b to the nearest 10. 460 Let s = 292.00000127 - 292. Round s to seven decimal places. 0.0000013 Let z = -813747 - -1363747. What is z rounded to the nearest one hundred thousand? 600000 Let p = -1766.197062 + 1773.797. Let r = -7.6 + p. What is r rounded to 5 decimal places? -0.00006 Let q be -18*3/(-6)*-1. Let a(t) = t. Let v(d) = -6*d**2 - 17*d - 2. Let p(f) = 5*a(f) + v(f). Let y be p(q). What is y rounded to the nearest one hundred? -400 Suppose 2*g - 540010 = 3*s, -5*g - 179975 = s - 0*s. What is s rounded to the nearest ten thousand? -180000 Let b = -11.13 + 11. Let k = -0.1314 - b. What is k rounded to 3 decimal places? -0.001 Let m = 3.0008 - 3. Let g = 0.02 + m. Round g to three decimal places. 0.021 Let b be 2/4 - (-3)/(12/273998). Round b to the nearest one thousand. 69000 Let w = 0.29 + -1.9. Round w to 1 decimal place. -1.6 Let p = -83 - -81.5. What is p rounded to 1 decimal place? -1.5 Let m = -0.14 - -1.54. Let r = 0.1 - m. Let w = r + 2. Round w to zero decimal places. 1 Let z = 43 - -741. Let w = z - 558. Let f = 225.99863 - w. What is f rounded to 4 decimal places? -0.0014 Let n = 26951.92989978 - 26949.2299. Let b = n + -2.7. What is b rounded to seven dps? -0.0000002 Let b = -340603802.229 + 337713860.228988. Let u = b + 2889948. Let n = -6 + u. Round n to 6 dps. -0.000012 Let m be (380/(-57))/(2/(-474)). Round m to the nearest one hundred. 1600 Let u = 2.503 - 2.8. Let k = 0.33 - 0.03. Let o = u + k. Round o to three decimal places. 0.003 Let c = 40.6 + -0.6. Let t = c - 39.99999966. Round t to 7 dps. 0.0000003 Let m = 8.28 + 0.22. Let t = m - 8. Round t to 1 dp. 0.5 Let f = 1 + 4. Suppose -f*h - 3*m + 16 = 0, 4*h + h + m = 12. Let a be 1/h + 600003/(-6). What is a rounded to the nearest 1000000? 0 Let b(g) be the first derivative of 203/4*g**4 + 6*g + g**3 - 1 + 8*g**2. Let a be b(-11). Round a to the nearest one hundred thousand. -300000 Let k(n) be the first derivative of -35*n**2 + 10*n - 3. Let a be k(8). What is a rounded to the nearest 100? -600 Let h = -25.795062 + 42.7950592. Let r = 16.57 - -0.43. Let y = r - h. Round y to 6 decimal places. 0.000003 Suppose -2*p - 2*p = 5*c - 31, 2*p - 14 = -4*c. Suppose 2*i - 69 = -p. Suppose -2*f + 7*f = -i. What is f rounded to the nearest integer? -6 Suppose -71*p - 92400 = -77*p. Round p to the nearest one thousand. 15000 Let q = -0.0806 - -0.0805633. What is q rounded to six decimal places? -0.000037 Suppose -5*k + 16 - 6 = 0. Suppose p - 3 = -4*o, -p - o - k = -5. Suppose -p*q = 2111 - 15311. Round q to the nearest 1000. 4000 Let f = -134 - -133.552. Let y = f - -0.51. Round y to 2 decimal places. 0.06 Let m = -112.94 + 114. Let q = 0.06 - m. Let n = q - -0.2. What is n rounded to the nearest integer? -1 Suppose 2*n - 14 = j, 4*n + 9 = 25. Let l be (1000/(-3))/(j/(-39600)). What is l rounded to the nearest one million? -2000000 Let n(c) = -c + 8. Let f be n(6). Suppose 5*k - 12 = -f. Let i be (5 - k) + 997*1. What is i rounded to the nearest 1000? 1000 Let g = 0.003 - 0.013. Round g to 2 dps. -0.01 Let v = 57.99999577 + -58. Round v to 7 dps. -0.0000042 Let u = -0.19 - -0.77. Let n = -0.12 - u. What is n rounded to 0 decimal places? -1 Let s = 23.8415 + -24. Let u = -0.15 - s. Round u to three dps. 0.009 Let m = 146 - 78. Let b = m + -69.53. What is b rounded to 1 dp? -1.5 Let b = -267.00187 + 267. What is b rounded to three decimal places? -0.002 Let z = 1.99 + -1.99151. What is z rounded to 4 dps? -0.0015 Let m = 25 + -35.5. Let a = 24.8 + m. Let u = -12 + a. What is u rounded to the nearest integer? 2 Let y(i) be the second derivative of -7/10*i**5 - 4*i**2 + 0 + 2*i + 2/3*i**3 + 1/4*i**4. Let b be y(6). Round b to the nearest 1000. -3000 Let n = -139.48 - -1.48. Let j = 137.99939 + n. Round j to 4 dps. -0.0006 Let k = 37.42 + -36. Round k to 1 dp. 1.4 Let k = -32.99999916 + 33. What is k rounded to seven decimal places? 0.0000008 Let l(i) = i**3 - 9*i**2 + 7*i + 2. Let o be l(8). Let b be o/8*(-8)/2. Suppose 264 - 54 = b*x. What is x rounded to the nearest ten? 70 Let f = 146.99897 - 147. Round f to 4 decimal places. -0.001 Let l = -1402596351.00004 + 1402651838. Let n = 55489 - l. Let k = 2 - n. Round k to 4 decimal places. 0 Let a be -3 - 0 - -6 - -540. Let k = 2241 - a. Let u = k - -1702. What is u rounded to the nearest 1000? 3000 Let t(j) = -10*j**3 - 3*j**2 + 3*j - 9. Let n be t(-4). What is n rounded to the nearest one hundred? 600 Let p = -1958007.819949 + 1958009. Let d = p - 1.18. What is d rounded to five dps? 0.00005 Let y(x) = -x**2 + 5*x - 4. Let q be y(3). Suppose 2*p = -q*p - 32. Round p to the nearest ten. -10 Let w = -8 + 8.6. Let p = 42.4 + w. Let m = p + -43.000078. What is m rounded to 5 decimal places? -0.00008 Let l = 238 - 237.651. Let q = 40 - 40.39. Let t = q + l. What is t rounded to 2 dps? -0.04 Suppose -6*t + t - 215000 = 0. What is t rounded to the nearest ten thousand? -40000 Let j(u) = -u**3 - u**2 + 2*u + 3. Let c be j(-2). Let f be (-4)/1 - (2 - c). What is f rounded to 0 dps? -3 Let p = 1.000166 - 1. Round p to 4 decimal places. 0.0002 Let y = -0.96 - -3. Let z = y - 2. Let q = -0.007 + z. What is q rounded to two decimal places? 0.03 Let w = 4.99 + -5. Let c = w + 0.05. Round c to one decimal place. 0 Let i = 0.7812 + -319.8812. Let c = i - -334. Round c to 0 dps. 15 Let b = 40 - -112. Let i = 99 - b. Let y = 52.99999926 + i. What is y rounded to 7 decimal places? -0.0000007 Let a = 1.31 - 1.203. What is a rounded to 2 decimal places? 0.11 Suppose -s + 4*c = 10208, 5*s + c + 2*c + 50994 = 0. Round s to the nearest 1000. -10000 Let h = 2630.734 - 2635. Let r = -7.772 + h. Let m = 12 + r. Round m to 2 decimal places. -0.04 Let y = 0.05578 + -0.054. What is y rounded to 4 decimal places? 0.0018 Suppose -15 = -11*t + 6*t. Let p be ((-1)/(-2))/(t/(-12)). Let b be (p/2)/((-5)/
{ "pile_set_name": "DM Mathematics" }
s 8 divide l? True Let d be 0 + (-2 - -4) - 1. Let t be -2 - (-2)/(d + 1). Does 14 divide (2 + -1)*t*-31? False Let u(w) be the third derivative of -w**8/20160 + 7*w**6/240 + w**5/20 - 3*w**2. Let l(d) be the third derivative of u(d). Is l(0) a multiple of 7? True Let d(x) = 7*x**2 + 3*x - 6. Is 33 a factor of d(3)? True Suppose -2*m - 2 = 4. Does 2 divide (m - (-32)/12)*-24? True Let j be 40/(-6)*(-5 - -8). Let g = 29 + j. Does 7 divide g? False Suppose 3*h + 14 = u, -2*u = -u - 2*h - 11. Is 2/(-5) - (-167)/u a multiple of 11? True Let z(r) = 3*r - 9. Suppose 3*w + 5*g = 21, -4*w - g = g - 28. Is 9 a factor of z(w)? False Let b(a) be the first derivative of -a**2/2 - a - 1. Is b(-8) a multiple of 2? False Suppose -4 = v - 17. Is 8 a factor of v? False Let f(q) = 2*q**2 + 7*q + 5. Let y be f(-4). Let i = y - 1. Suppose 2*h + i = 24. Does 8 divide h? True Let d(i) = i**2 + i - 5. Does 9 divide d(5)? False Let h = 15 + 54. Is 3 a factor of h? True Suppose 7*s = 4*s + 96. Does 8 divide s? True Let k(y) = y**3 - 4*y**2 + 4*y - 2. Let i be k(2). Does 8 divide (-1)/2*i + 7? True Suppose -2*m - 9 = 1. Let q = 45 + m. Is 12 a factor of q? False Suppose -49 - 31 = -4*z. Is 24 a factor of ((-72)/z)/(3/(-20))? True Let l = -6 + 20. Let u = 46 - l. Suppose -28 = -4*f - s + 19, 3*f = -4*s + u. Does 4 divide f? True Let h(i) = i**3 - 4*i**2 + 2. Let m be h(4). Let d(a) = 2*a**2 + 3*a**2 - 4*a**m - 6. Is 14 a factor of d(-5)? False Suppose 10*o - 353 = 697. Is 35 a factor of o? True Let b = -4 - -7. Suppose 0 = 3*a - 6 + b. Is 23 a factor of (-4 - -3)*(-47 + a)? True Suppose 11 = 5*h - 4. Suppose 0 = -5*w - u + 3*u - 6, -u + h = 0. Suppose 5 = 3*x + 3*q - 13, 2*x + 4*q - 2 = w. Does 5 divide x? False Let s = -5 - -12. Let k = s - 2. Suppose 2*b - 38 = 3*v + 14, 5*v - 130 = -k*b. Does 13 divide b? True Suppose -18 = -2*p - 2*a, -2*p + 3*a + 23 = -0*p. Does 6 divide p? False Suppose -3*m + 6 = 2*q, 2*q - 8 + 4 = -4*m. Suppose 0 = z - 3*z + q. Is z a multiple of 2? False Suppose -3*o = 15, -p - o = 2 - 12. Does 8 divide p? False Let p be (36/(-30))/((-4)/10). Suppose p*j - 124 = -j. Is j a multiple of 18? False Suppose 3*p + p - 5*a = -13, 15 = 3*a. Suppose 2*l = 5*t + 58, p*l + 0*t - 70 = -t. Is l a multiple of 11? False Let k be (-21)/(-12) + (-1)/(-4). Suppose k*m + m - 3*p = -6, -2*p = 3*m - 14. Suppose -m*f + 7*f = -3*r + 87, 2*f = -6. Is r a multiple of 17? True Does 14 divide -33*33/(-3) + (-8)/(-2)? False Let o(l) = l**3 - 6*l**2 + 5*l - 5. Let x be o(5). Let j = 7 + x. Is j a multiple of 2? True Let k be (-5464)/4*1/1. Is 14 a factor of k/(-14) - 20/35? False Suppose -13*z + 540 = -10*z. Let s be ((-4)/(-6))/(1/6). Suppose -y + 5*g = 4*y - z, -s = g. Does 16 divide y? True Let z(b) = -18*b + 1. Let o = 18 + -26. Let n be z(o). Suppose -2*u - 5*x = -n, 0*u + 4*u = -x + 281. Is 19 a factor of u? False Let t(l) = l**2 + 5*l + 10. Let n(k) = -k**2 - 4*k - 11. Let d(w) = -3*n(w) - 4*t(w). Let p(u) = -u. Let j be p(6). Does 5 divide d(j)? True Let b be 1*(3 + 6 + -1). Suppose o + b = 2*o. Is 8 a factor of o? True Let y be (-2)/(2 - (-36)/(-15)). Suppose -5*j = -y*h + 10, -j + 2*j = 3*h - 10. Does 2 divide h? True Let s = 31 + -20. Does 17 divide (-4)/(-22) - (-372)/s? True Let t = 301 + -142. Is 12 a factor of t? False Let z = 73 - 34. Is 27 a factor of z? False Let v = -272 + 400. Does 11 divide v? False Let p = -3 - -1. Let q(d) = d. Let n be q(p). Is (6 - n*1)/2 a multiple of 4? True Let p = 13 + -6. Does 7 divide p? True Let c(r) = r + 6. Let y be c(-3). Is 13 a factor of y*52/9*3? True Let s = 74 - 32. Does 3 divide s? True Let c = 6 - 8. Let f(w) = 9*w**2 + 3*w + 2. Is 14 a factor of f(c)? False Let g = -15 + 21. Suppose a = g*a - 100. Is 6 a factor of a? False Is (-2)/(-5) - 415/(-25) - -3 a multiple of 16? False Suppose -z + 8 = b + z, 2*z - 10 = -2*b. Does 11 divide (b + -3)*(-82)/2? False Let u(p) = p**2 + 13*p. Does 45 divide u(5)? True Let k = -7 - -4. Let s = k + 3. Let b(q) = q**3 - q**2 + q + 23. Does 9 divide b(s)? False Let w(g) = -g**3 - g**2 + 28. Let i be w(0). Suppose -3*p = p - i. Does 6 divide p? False Suppose -f = -0*f - q + 4, f = 3*q - 12. Let n be (-46 + 1)*(f + -2). Suppose 5*j = n - 0. Is 9 a factor of j? True Let v(b) = -b**3 - 9*b**2 - 9*b - 3. Suppose 2*q = -17 + 1. Let d be v(q). Suppose -d*w = -3*w - 18. Is 9 a factor of w? True Suppose 5*o = -3*k + 94, 5*k - 2*k - 9 = 0. Is 10 a factor of o? False Suppose -2*t = -t - 4. Suppose -t*p + 66 = 14. Is 13 a factor of p? True Let t(a) = -2*a**3 - 6*a**2 - 4*a - 2. Let c be t(-4). Let s = 94 - c. Does 14 divide s? False Let f(p) = -3*p + 3. Is 3 a factor of f(-4)? True Let y(k) = -3*k**3 + 8*k**2 + 2*k. Let r(i) = 7*i**3 - 17*i**2 - 5*i + 1. Let z(c) = -4*r(c) - 9*y(c). Is 17 a factor of z(-6)? False Suppose -3*u = -u - 3*c - 87, -189 = -4*u + c. Suppose -2*h - 18 = -u. Is 7 a factor of h? False Suppose 2*m = 5*s + 290, 132 = m + 2*s + 2*s. Is m a multiple of 14? True Suppose 0 = -2*p - p - 3*o + 321, 322 = 3*p + 4*o. Does 23 divide p? False Let q = 15 + -15. Let h = q - -18. Does 18 divide h? True Let g = -47 - -84. Is 18 a factor of g? False Let f(o) = 7*o**2 + 3*o + 4. Does 9 divide f(-4)? False Is 12 a factor of (9020/28)/11 - (-2)/(-7)? False Does 6 divide (-36)/(-3)*(13/4 - 2)? False Suppose -o - 138 = -4*o. Does 23 divide o? True Let y = -6 + 2. Let t(v) = v**2 - 7*v - 6. Let s be t(y). Let x = -16 + s. Is x a multiple of 22? True Suppose -10 = -4*m + 14. Is m a multiple of 4? False Suppose 5*x = -x + 450. Is x a multiple of 13? False Let l(x) = 44*x + 6. Let m be l(6). Suppose t + 2*t = -m. Is t/(-24) - (-2)/8 a multiple of 2? True Let z(a) = 3*a**3 - a**2 - 3*a + 5. Let o(x) = -x - 14. Let s be o(-16). Is 16 a factor of z(s)? False Suppose 0 = -2*y + 2, -w + 2*w - 2*y = 153. Does 20 divide w? False Let n(s) = s**2 + 11*s + 14. Let u be 43/(-4) - (-1)/(-4). Is 10 a factor of n(u)? False Let v be ((-8)/10)/((-6)/135). Suppose 0 = a - 5*a + 12, -i + 5*a = v. Is 6 a factor of i/4*1*-24? True Let b(g) = g + 8. Let r be b(-8). Let j = r - -2. Is 8/(1/(j/4)) a multiple of 4? True Suppose 200 = -0*c + 2*c. Let w = 146 - c. Let p = w + -21. Is 9 a factor of p? False Let l = 175 + -99. Does 34 divide l? False Let c(w) = -1 - w**3 + 3 + 3*w - 4*w**2 - 3. Let p be c(-5). Let h = -5 + p. Is 4 a factor of h? True Suppose 0 - 10 = -2*z. Suppose -30 - 5 = -z*g. Is 7 a factor of g? True Let t(o) = -o**2 + 9*o - 5. Let g be t(8). Suppose g*p = -r + 10, -r + p = -2 - 16. Is r a multiple of 16? True Suppose k - 18 = -a - 4*k, -4*a + 4*k = 0. Let x(m) = -a*m - 5*m - 3*m - 2. Is x(-2) a multiple of 20? True Suppose 0*v - 5*v = -270. Suppose -3*t = -0*t - v. Does 9 divide t? True Let r be (0 + 6)*(1 - 0). Is 80/r - (-2)/(-6) a multiple of 13? True Let s = 53 + 3. Does 4 divide s? True Suppose 0 = -101*b + 103*b - 370. Is b a multiple of 34? False Let o = -79 + 110. Suppose -5*u + 18 = 2*s, -2*u + 3*s - 3 - 5 = 0. Suppose -u*k + o = 3*q, -3*q - 5 = -2. Is k a multiple of 5? False Suppose -5*i + 2 = -4*i. Suppose -4*m = 3*z - 242, 4*m = 6*m + i*z - 122. Let h = m - 41. Is h a multiple of 12? False Suppose 2*f = 2*g - f + 13, 22 = -5*g + 4*f. Let k = g + 4. Does 14 divide -3 + 129/(1 + k)? False Let g = 121 - 61. Is g a multiple of 15? True Suppose 5*t = -2*s + 109, -5*s + 0 = t - 8. Suppose -t = -5*a + 52. Does 11 divide a? False Let j(c) be the second derivative of c**4/12 + 2*c**3/3 + 5*c**2/2 + 13*c. Suppose 2*s + 11 = -3*b, -b - 4*b - 31 = -3*s. Is 5 a factor of j(b)? True Suppose 2*m = m + 6. Let b(x) = -2*x**2 - 4*x + 4. Let t(o) = -3*o**2 - 4*o + 4. Let r(q) = 4*b(q) - 3*t(q). Does 16 divide r(m)? True Is 12 a factor of -26*(-2 - 6/(-4))? False Let b(p) = 9*p + 63. Does 66 divide b(15)? True Suppose -7*g - 79 = -660. Is 12 a factor of g? False Suppose -3*x = 2*h - 5*h + 177, 2*x + 172 = 3*h. Is h a multiple of 18? True Let f = 199 + -117. Suppose 0 = 5*d - 0*n + 4*n - 97, 0 = 5*d - n - f. Is d a multiple of 17? True Let b(k) = 39*k. Let j be (-2*(-2)/(-4))/(-1). Does 10 divide b(j)? False Suppose 4*m = -12, -v + 2*m + 10 + 1 = 0. Suppose 5*j + 3*f = -5, 5*j - v = -0*j - f. Suppose 3*b - 90 = -j*b. Is b a multiple of 9? True Is 12/(-10)*(-150)/20 even? False Let r = 1 + 4. Suppose 0 = -
{ "pile_set_name": "DM Mathematics" }
-3*b = 3 - 12, b = q + 1. Solve -q*o = 3*z + 5 - 23, 3 = o for z. 4 Let r be (216/45)/((-3)/(-50)). Suppose -3*s = -5*i + r, -3*s + 7*s + 76 = -i. Let f = -14 - s. Solve b - 5*z - 12 = 0, 2*z + f + 0 = b for b. 2 Let u(m) = -6*m - 2*m**2 + m**3 + 12 + 3*m**2 - 3*m**2. Let g be u(3). Solve 3 = -4*f - g*z, -2*z - 2 + 5 = f for f. -3 Suppose a - 1169 = -1162. Solve a = -l - 4*u, 3*u + u = l - 17 for l. 5 Suppose -3*j + 6 = -o, -41 = -5*j - 2*o - 31. Solve -j*a - 3 = 5*r - 9, -5*r = -2*a + 6 for r. 0 Let u = 563 - 546. Solve -4*m - 6 = 3*p + u, 0 = 3*p - 3*m - 12 for p. -1 Let m be (12/7)/(4/28). Solve 4*b = -g + 20, g + m = 2*b + 2*g for b. 4 Let f(l) = -l + 10. Let s(u) = u**3 + 7*u**2 + 10. Let a be s(-7). Let x be f(a). Let d = x + 1. Solve -i + 15 + d = -5*c, 4*i = 4 for c. -3 Suppose -2*h = -h - 8. Let b(q) = 2*q - 11. Let s be b(h). Let l = 53 - 41. Solve 4*k + l = 4*j, -s*j - 3*k + 45 - 14 = 0 for j. 5 Let w(m) = -7*m + 9*m - 5*m - m. Let l be w(-1). Solve -2*h = -l*i - 6, i + 12 = -3*h - 0 for i. -3 Let k = 11 - 11. Suppose k = 4*x + 2*x - 24. Solve -4*q - 12 = x*r, -q = 3*r + 4 - 1 for r. 0 Suppose -10*a - 45 = -5*a. Let z be 4 + 2 + -3 - a. Solve s - z = -2*r, -2*r + 3*s = -0*s - 4 for r. 5 Suppose -2*y - 22 = -3*u - 6*y, 0 = -5*u + 5*y + 25. Let k = 14 - u. Solve n + 13 = 5*p - 2*n, -2*p + k = -4*n for p. 2 Let p(i) be the second derivative of i**3/6 + 17*i**2/2 + 9*i. Let z be p(-14). Solve -5*t - 4*x - 25 = 0, 2*t + z*x + 6 = -11 for t. -1 Suppose f + 10 = -5*q, -8*q = -4*f - q + 41. Solve 0 = -u - d - 3*d - f, 2*u = d - 10 for u. -5 Let x be 296/14 - (-2)/(-14). Suppose 6 = -4*u + b + x, -2*u - 4*b = 6. Let a be (u - (2 + -4))*6. Solve 0 = v + 5*q + a, -4*q = -5*v + 4*v + 15 for v. -5 Suppose -2 = -2*h + 8. Suppose -5 = -5*i, 2*i + 4 = h*p - 14. Solve -p*u - 16 = 0, 3*s + 4*u + 13 = -0*u for s. 1 Suppose 3*x = 79 + 32. Solve -3*y - 2*r + 21 = 0, 6*y - y + 4*r = x for y. 5 Suppose u = x - 3 + 69, 4*u - 78 = x. Let f = 64 + x. Solve 0*d + 3*d = -v - 2, f*v - 6 = -d for v. 4 Suppose 2*a + 4*b = 2*b + 42, 0 = 4*a + b - 99. Solve -6*l = -2*x - 2*l - a, 28 = -x + 5*l for x. -3 Let z(y) = 2*y**2 - y**2 - 4 + 4*y + 7. Let t be z(-4). Suppose 5*p + 3 = 3*k + 1, t*k - p - 10 = 0. Solve k*o + 3*r - 9 = 2*o, 0 = -2*o - 5*r + 19 for o. -3 Suppose 3*k + 4 = 4*k. Suppose -k*h - 16 = -5*w, -w - 2*w + 5*h = -20. Solve 3*v + v - 32 = 4*d, w = -3*v - 4*d - 11 for v. 3 Let i = -492 + 496. Solve i*n = -4*r - 4, 4*r - 2 - 9 = n for r. 2 Let u = 17 - 2. Let m = -5 + u. Suppose 5*j + 7 = -5*s + 22, 0 = 2*s - j - 12. Solve -5*p + 3 = -s*l - 22, 2*p - m = 0 for l. 0 Let i(q) = q**2 - 7*q - 5. Let d be i(6). Let v = 27 + d. Solve 4*c + v = -3*f, -3*f - 6 = -2*c + 4 for f. -4 Let v(s) = -s**3 - 19*s**2 + 68*s + 50. Let d be v(-22). Solve d = w + f, 4*w - 15 - 4 = f for w. 5 Let i = -18 + 84. Let l = -61 + i. Solve 3 = -3*k + 2*f + f, l*k - 4*f = -3 for k. 1 Suppose 0 = -c - 2*c + 21. Suppose 0 = -2*t - 2*r + 16, -44*t - 4*r = -47*t - 11. Solve p - 3 = -2*j, -t*j - 3*p = -c - 2 for j. 0 Let o(a) = 5*a**2 - 3 + 2*a**3 + 13*a**2 + 4*a - 22*a**2. Let c be o(2). Solve -4*g = -4*r + 5*r + 11, -11 = -c*r + 2*g for r. 1 Let c(k) = -6*k - 45. Let u be c(-8). Suppose 0 = 2*d + 2*d - 4. Solve 3*t = -2*f - 27 + 4, 0 = u*t - 4*f - d for t. -5 Suppose 0 = -3*c + 4*c. Suppose -3*j - 2*j - 45 = c. Let i = 9 + j. Solve 0 = -4*p - p, i = 3*b - 3*p - 6 for b. 2 Let r = 510 - 510. Solve r = -5*t + 5*g, 2*g - 2 = -5*t + 5 for t. 1 Let p = -865 + 869. Let f be (-1 - -2)*2*1. Let j = 0 + f. Solve 12 = -p*w - j*k - 2, 0 = 4*w - 2*k - 6 for w. -1 Let o be (-11)/5 - 3/(-15). Let m be 2 + (3 - -1) + o. Suppose -3*k - 4*k = -28. Solve 6*u + m*h = u, -k*u = 2*h for u. 0 Let i(m) = m**2 - 3. Let x(k) = 3*k**2 - 6. Let h(s) = 5*i(s) - 2*x(s). Let q be h(0). Let z = q - -6. Solve -2*a = -z*n + 17, -5*n + 3*n + a + 11 = 0 for n. 5 Suppose 0 = -4*v - 2*k + 10, -4*v + 11 = -0*k + k. Solve 3*y - 5*x = 4 - 12, y - v = -4*x for y. -1 Let v(c) = 8*c - 206. Let s be v(27). Solve s = y - 3*l, 10*y + 2*l = 9*y for y. 4 Let m be -2 - 3/((-18)/48). Solve -4*d = 5*a + m - 1, -4*a = -2*d - 22 for d. -5 Suppose 4*i = -5*k + 42, 5*i - 2*i - k = 41. Solve 0 = 5*n - t + 6*t - 35, n + 3*t = i for n. 4 Let r be 21/(-14) - (-5)/(-2). Let z be (3/(-9))/(r/132). Suppose -6*v + z*v = 30. Solve -p + 4*s = -3*p - v, 2*s + 4 = -2*p for p. -1 Suppose -89*m + 463 = -249. Solve -2*a = -2*p + 12, m*a = 3*a - 10 for p. 4 Suppose 2*x - 6*r + 4*r - 40 = 0, 4*x = 5*r + 78. Solve -4*s = 3*c + 3 - x, -c = -5 for s. 1 Suppose -k = -2*k. Suppose k = -2*z - z + 3. Let i = z + -1. Solve 5*w + p + 11 + 7 = i, -4*p = -5*w - 28 for w. -4 Suppose 4*j + 16 = -40. Let m be (-1 - (-9)/12)*-76. Let f = m + j. Solve 4*u + s = 3*u - 1, -u - 5*s = f for u. 0 Let l be 62/20 - ((-917)/(-70) + -13). Solve b + 7 + l = 5*i, b + 6 = i for i. 1 Suppose -4*q + 242 + 58 = 0. Let a = q - 74. Solve -3*s = 3*i - 7*i + 1, 5*s = 4*i + a for i. 1 Let f be (3/2)/(1/(-12)). Let j = f + 24. Solve 5*b + j*q = 5*q + 15, -b + 7 = q for b. 2 Suppose -4*w - 60*v = -55*v - 5, -3*w = v - 1. Solve w = -0*o + 3*o - 2*c + 2, -4*o - 4*c = -4 for o. 0 Let y = 115 - 108. Let h(b) = b**3 - 6*b**2 - 8*b + 12. Let t be h(y). Solve -t*c + 4 = -3*f - 22, -2*f + 4 = 2*c for f. -2 Suppose 3*j - 3 = -0*j - 5*b, -4 = -4*j - 4*b. Let v(a) = -a**3 - 5*a**2 - 1. Let f be v(-5). Let k be j/((-28)/32 - f). Solve i + d = 3*i, 3*d = 2*i + k for i. 2 Suppose 13*o - 3*o - 150 = 0. Let f(n) = -n**3 + n**2 - 1. Let m be f(-2). Let a = o - m. Solve -3*r + 17 = 5*t - 1, 0 = -t - r + a for t. 3 Suppose -2*u - 24 = -8*u. Suppose 3*b = 2*b - 2*a + u, -a = 4. Solve 3*v - v = 2*z - b, 0 = -4*v - 5*z + 12 for v. -2 Suppose p - 4 = 54. Let s = 60 - p. Solve 2*y + j - 11 = -3*y, s*y - 3*j - 18 = 0 for y. 3 Let i(j) = 10*j - 278. Let f be i(28). Solve 3*k - 5 = -f*n, 0*n = 5*k - 5*n - 25 for k. 3 Let k(r) = 20*r + 143. Let t be k(-7). Let l be (15*(-7)/(-84))/((-1)/(-4)). Solve -l*b = -v + 12, t*b + 0 = -6 for v. 2 Let t(s) be the third derivative of s**4/24 - 2*s**3/3 - s**2. Suppose -5*a = 5 - 45. Let g be t(a). Solve -2*n + 2 = 4*z - g*n, 0 = 3*z - 5*n + 16 for z. 3 Let n = 778 + -775. Solve -4*i = 4*r + 4, -4*r = 5*i - n + 7 for i. 0 Suppose n + 6 = -2. Let w be 2/(1/1*(-8)/n). Solve -5*d - w*l = -7*l - 35, 0 = 2*d + 4*l + 10 for d. 3 Let c = 318 - 313. Solve c*h = 2*z - 2, 0*z + 12 = -3*z for h. -2 Let i = 9 + -5. Let u = 3582 - 3578. Solve 2*r = -i*q, -5*r + 4*q = u + 10 for r. -2 Let n(q) = 7*q + 9. Let g be n(4). Let o = g - 37. Solve 3*m + 8 = -4*l - o*l, -4*l + 2*m + 12 = 0 for l. 1 Suppose -c = 2*x - 4 - 5, 4*c - 26 = -3*x. Suppose -10*t = -9*t. Solve -3*y - 20 = -0*y - c*d, y + d - 4 = t for y. 0 Suppose 0 = 3*q + 2*q + 50. Let o = q + 15. Suppose -2*c - 63 = -o*c. Solve -2*x + 4*n - c = -5*x, -n = -3 for x. 3 Let i = -11 - -29. Suppose -i = -m + 4*q, -2*q = -4*m - 0*q + 30. Suppose -m = -2*s + 4. Solve -5*v - w - 2 = -8, s*w = -20 for v. 2 Suppose 4*u = 16, -10 = -2*m - 4*u + 16. Solve -f - 15*p + 10*p = 4, 2*p - 3 = -m*f for f. 1 Suppose -61*z + 5 = -56*z. Let s(a) = 7*a - 3. Let u be s(z). Solve -y = 4*i - u - 14, 5*y = i - 15 for y. -2 Suppose 4*n + 55 + 9 = 0. Let y = -12 - n. Solve -v + 4*v = -q + 18, q - 23 = -y*v for v. 5 Let p(x) = -x**2 + 10*x - 8. Let v be p(9). Let c be (v + -5)/(4/(-16)). Let i be ((-10)/8)/((-2)/c). Solve w = 5*u - 19, 4*u - 4*w = 18 + i for u. 3 Let d(t) = t**3 + 4*t**2 + 2*t. Let s be d(-3). Let y(c) = 2*c**2 + 2*c - 2. Let i be y(-2). Let n = i + 2. Solve n*a = -5*m - 15, 4*a - s*a - 6 = 2*m for a. 0 Suppose -99 = o + 2*c, -6*c - 525 = 5*o - 11*c. Let u = o - -106. Solve -3*i + 5*l - 15 = 2*i, -3*i + 3 = u*l for i. -1 Let h be (-3 - 66/(-10)) + 6/15. Solve -4*n + h*x - 24 = 0, -3*n - 2*n + x - 22 = 0 for n. -4 Let q be (-4 - -13)/(2 - 3). Let h = q + 17. Solve 0 = -j, 0*j = -4*r + 2*j - h for r. -2 Suppose 71 - 95 = -8*a. Solve -5*c + a*y = -17, y + 2*y + 5 = 2*c for c. 4 Suppose 391*a = 388*a + 9. Solve 0*r + 5*t = -a*r, -4*r + 35 = -5*t for r. 5 Let r = -97 - -105. Let u be 12/2 - (r - 4). Solve 4*i - 12 - 16 = -u*q, 3*q = 12 for i. 5 Let m = 34 - 40. Let r be m/4*(-3 - -1). Solve -4 = -b + 1, -5 = r*y - b for y. 0 Let o(q) = q**2 + 7*q. Let w be o(-
{ "pile_set_name": "DM Mathematics" }
188 + -180). Do i and w have different values? True Let l = -750 - -750. Which is bigger: l or -1271? l Let t = 23.068 + -23. Let p = t + 0.132. Which is greater: -0.11 or p? p Let m(v) = v**2 + 0*v**2 - 2*v - 2*v. Let q be -28*(-3)/24 - (-2)/4. Let p be m(q). Which is smaller: 1 or p? p Let c = 104 + 96. Is c not equal to 200? False Let h = 25 - 22. Suppose -d - 2*p = 31 - 8, -d + 3*p - h = 0. Do d and -15 have the same value? True Let j be (35/14 - 5)/((-3)/(-24)). Which is bigger: -101/5 or j? j Let y(m) be the first derivative of -m**2/2 - 3*m + 2. Let h be 2/(-2)*(4 + 3)*1. Let n be y(h). Is n at most as big as 4? True Let z = 17 + -12. Suppose 3*g - 4*k - 2 = 0, z*g - 5*k - 6 + 1 = 0. Suppose -g*l = 4*d, d + 2*d + 4*l = -10. Is d != 3/2? True Let f(p) = 6*p**2 - 22*p + 11. Let t be f(4). Which is bigger: 30 or t? 30 Suppose 5*z + 115 = -115. Let r = z - -39. Is r at most 3? True Let k = -19508 + 390477/20. Let q = k - 16. Is 0 at least q? True Let y(v) = 2*v**2 - 6*v - 417. Let s be y(-13). Suppose -3*g + x + 200 = 0, -3*g + 157 + 45 = -2*x. Which is bigger: s or g? g Suppose -9*w + 12*w + 78 = 0. Are w and -22 non-equal? True Suppose -58*s = -65*s - 21. Is 98 >= s? True Let i = -28 - -46. Suppose 0 = -11*o - i + 7. Which is smaller: -7/6 or o? -7/6 Suppose -4*d + 13 = 5*n, -18 = -n - d - 15. Which is smaller: -2/1791 or n? -2/1791 Let i be (2 - 133/2)/(135/270). Is i != 1? True Let t(s) = -6*s + 9. Suppose 11*v - 30 = 9*v. Suppose -v = -8*c + 3*c. Let k be t(c). Which is smaller: k or -10? -10 Suppose 3*x + 9 = -5*p, p + 9 = 2*x + x. Suppose -x*a - a = 2*a. Do 0 and a have different values? False Let o = -31 + 54. Suppose 5*c = -37 - o. Let n be (9 + 0)/(-1) + -2. Which is smaller: n or c? c Let a be 1 - 1/(-4)*-5. Let p(u) = -u**3 - 36*u**2 + 114*u - 117. Let f be p(-39). Which is greater: f or a? f Let w = 2/3605 - -14122/537145. Is w less than 0? False Let s(v) = -v**3 + 5*v**2 + 16*v - 14. Let j be (-3 - 4/4) + 11. Let t be s(j). Which is smaller: 2 or t? t Let n be (-6 - -1 - -4)*2/(-11). Let x be (-1)/4 - (0 + (-45)/(-12)). Which is greater: n or x? n Let o(p) = -2*p + 2. Let z(s) = -s - 1. Let c(a) = o(a) - z(a). Let q be c(0). Suppose -10 = -q*r - 1. Is 4 at most r? False Let i be (-7)/((-21)/(-6)) + 322. Suppose 604 + i = 3*j. Let r = 595/2 - j. Which is smaller: -10 or r? r Suppose 471*o - 468*o + 381 = 0. Is -128 < o? True Let h = -68289/38234 + 1/2731. Which is smaller: h or -3? -3 Let v = 2189.937 - 2191. Let u = v - -0.063. Which is greater: 0.61 or u? 0.61 Let w = -264.53 + 253.489. Let j = -0.041 - w. Which is smaller: j or -0.1? -0.1 Let p(r) = r - 26. Let t be p(29). Suppose -5*q - t = -4*k - 18, 2*k = 5*q - 5. Is 10/29 <= q? False Suppose -13*a + 4*h - 16 = -12*a, 4*a + 20 = 5*h. Is 3/1513 at least a? True Suppose w - 4*w + 36 = 3*x, 4*w - 42 = -x. Let l be 4/w - (-104)/65. Let y be l - (-3)/(-1 + -2). Are 0 and y non-equal? True Let a(q) = q**2 + 5*q - 14. Let x be a(-7). Suppose x = -5*d + 15, 0*l + 4*l - 3*d - 11 = 0. Are l and 40/9 equal? False Let o be 0 + 286/14 - -1. Let n = -419/14 + o. Is -1 less than n? False Let h = 0 - -8. Suppose 7*b = 3*b - 72. Let m = b - -17. Which is smaller: m or h? m Let n(w) = -3*w - 43. Let v be n(-13). Which is smaller: -18/5 or v? v Let p be (-36)/14 + (140/10 - 11). Which is smaller: 9.9 or p? p Let g = 26992 + -26907.945. Let u = g + -0.055. Which is smaller: u or -2/5? -2/5 Suppose -3*k - 1 = -10. Suppose 0 = 7*x - 200 + 193. Which is bigger: k or x? k Let r be 2 + (-644)/(-16) - 2/8. Suppose r = 3*h + 3. Are 3 and h nonequal? True Let x be (10/(-16))/(5/(-6)). Let p = -11.02 - -11. Which is smaller: p or x? p Let c = -242/5 - -48. Let w = 10 + 0. Let h = 0 + w. Is c at most h? True Let n = -1.62 + 4.62. Suppose 17*z - 20*z + 6 = 0. Is n greater than z? True Let t = -33 - -499/15. Are t and 0 equal? False Suppose -3*j + 7*j = -2*l + 106, -3*j - 2*l + 82 = 0. Suppose 0*f - j = 4*f. Which is greater: f or -4? -4 Let v = 0.39 - -0.11. Which is smaller: -62 or v? -62 Let y(x) = 2 + 4 - x + 0. Let p be -3*(-15)/9 - 1/1. Let i be y(p). Is i at most 4/7? False Let a = 22 + -18. Let t(q) = -q**2 + 4*q + 1. Let p be t(a). Suppose 3*l = 5*u + 6, 3*u = l - p - 1. Is l smaller than 2? False Suppose 3*p - 2*n = 282 + 11, 388 = 4*p - 2*n. Suppose -5*k = 35 - p. Let v be (-10)/(-30) - (-2)/k. Which is bigger: v or 2/7? v Suppose -5*z - 13 + 3 = 0. Let a be ((-24)/20)/((-9)/6). Is z less than a? True Suppose 2*w - 13 = 5*s, -8 = -w - s - 5. Which is greater: w or -4? w Let a be (-2)/564*-4*-3. Let i = -235 - -235. Is a less than i? True Let m = -3201/7 + 456. Let a = -1/219 + 74/219. Is m bigger than a? False Suppose -3*p = 2*p + 10. Let k(a) = 14*a**3 + 2*a + 2. Let j be k(0). Which is smaller: j or p? p Let b(x) = -x**3 + 10*x**2 + 10*x - 11. Let w be b(11). Let k be w/(-24) + 5/(-20). Let g = -3.3 - -3.2. Which is greater: g or k? k Let t(h) = -4*h**2 + 5*h + 2. Let l be t(4). Let x = 471 + -512. Which is smaller: x or l? l Let i be ((-30)/85)/3 + 210/3519. Which is bigger: i or -1? i Let y(v) = 8*v - 12. Let w be y(0). Let d be 0 - ((-2)/(-14))/((-6)/w). Which is greater: d or 1? 1 Let t be -205 - -207 - 64/18. Which is smaller: t or 2/5? t Let v be -2*(-6)/16*242/6. Which is greater: 1 or v? v Suppose 3*v - 3*s = 7*v - 1773, 3*v - 1336 = 4*s. Are v and 444 unequal? False Let r be (2 - 5 - -5)/(1/(-46)). Are -95 and r non-equal? True Let k be -4*(-3 - (-12004)/4048). Let f = -27/8 + 629/184. Let y = f + k. Which is smaller: 0 or y? 0 Let m be ((-12)/(-22))/3 - 186/(-66). Suppose m*i - 1 = 35. Let d = 104/3 - 35. Which is smaller: i or d? d Let f be (267/4)/(12/24). Which is smaller: f or 133? 133 Let h = -12 - -1. Let n = -8 - h. Suppose -5 = n*z - 11. Is z at most 4? True Let f be 6*2*2/(-8). Let l be 3/7 - f/(-7). Let q = -61/3 - -424/21. Which is smaller: l or q? q Let o(y) = y**3 - 12*y**2 + 46*y + 19. Let r be o(9). Are 952/5 and r non-equal? True Suppose -b - 6 = u, -14 = 2*u - u + 5*b. Let p be 16/u + 2 - -3. Is 4/35 smaller than p? True Let b be (40/(0 - 1))/(18/27). Let j = -119/2 - b. Let k be 4/(-12) - (-2)/6. Does j = k? False Let x be ((-8)/5)/(-4)*5. Suppose -34 - 4 = -19*k. Are x and k unequal? False Let x = 34 - 41. Is -5 at most x? False Let m(v) = v**3 + 10*v**2 + 6*v - 1. Let u(n) = 4*n**3 + 31*n**2 + 17*n - 3. Let a(g) = 7*m(g) - 2*u(g). Let z be a(9). Let i be 0*(-2 - z/4). Is i < 1/2? True Let m(a) = a**2 + 1. Let d be m(1). Suppose -d = -2*p + 6. Let g be p/(-3)*(-12)/(-8). Is g at least as big as -2? True Suppose -5*i = 2*q + 7, q + 2*i = -q + 2. Let r be (q/((-2)/1) - -2)/(-3). Is -1/41 >= r? False Let a(k) = -k**3 + 7*k**2 - 5*k - 5. Let x be a(6). Let f = x - -1. Suppose 3*o = 3*w, -2*w + 6*w = 0. Is o equal to f? False Let v(p) = p**3 + 5*p**2 + 6*p. Let f be v(-3). Are f and 2/1031 equal? False Let m be 6/((-6)/63 + 0). Let h be ((-9)/m)/(-1 + 0). Let r = 6 - 5. Which is smaller: h or r? h Let k = -184 + 192. Is -10 at most k? True Suppose -3*t = a - 0 - 2, -3*t + 3 = 0. Let g be (-5 - -4)*(-1)/275. Let q = g - -527/6325. Which is smaller: q or a? a Let v = -10.2 - 1.8. Let t be (27/3 - -1)/(8 - 10). Which is smaller: v or t? v Suppose 4*p + 5*v = 11, 12*v - 6 = 3*p + 11*v. Is -3/34 less than p? False Let v = -1 + 5. Suppose -237 = -2*b - t, -4*b + 0*t + 472 = v*t. Let i = b - 223/2. Does 8 = i? False Let p be (-634)/6 + 2/3. Let u be (-6 + p/(-18))*(-2)/(-3). Is u less than or equal to 0? True Suppose 31 = 45*f - 14. Let a be 4/(-70)*(-6 - -5). Is a at most as big as f? True Suppose x - 25 - 4 = -4*y, -2*x + 48 = 3*y. Let f = x + -21. Is f >= -2/203? True Let k = -397/5 - -81. Let v(q) = q**3 - q**2 - 4*q + 7. Let f be v(2). Which is smaller: k or f? k Let k = -7 - -8. Let y = k - 1. Let x = -4 + y. Which is smaller: x or 4? x Let h = 1185 + -1169. Suppose 5*f - 67 = 4*t, 0*f = -f - 2*t + 19. Is h at most as big as f? False Let q = -7731/19 - -407. Let i be ((6/2)/1)/1. Suppose 0 = 3*b - i - 0. Which is smaller: b or q? q Let n = 794 - 167. Which is bigger: 1 or n? n Let j(w) = -w. Let b be j(-1). Let y = -72 + 323. Let i = -4013/16 + y. Do i and b have the same value? False Let f = -69 - -72. Suppose -4*n + 14 = -5*s, 2*n - 3*n + f*s = -7. Which is sma
{ "pile_set_name": "DM Mathematics" }
icked without replacement from {c: 3, o: 4, g: 2, w: 3, i: 6, u: 1}? 2/57 Calculate prob of sequence jxti when four letters picked without replacement from {e: 2, j: 1, t: 1, x: 1, v: 1, i: 1}. 1/840 Three letters picked without replacement from iwbuiho. What is prob of sequence uib? 1/105 Four letters picked without replacement from {o: 1, y: 1, f: 3}. Give prob of sequence ffoy. 1/20 What is prob of sequence yyyy when four letters picked without replacement from {y: 5}? 1 What is prob of sequence vea when three letters picked without replacement from {z: 2, v: 7, e: 7, a: 2}? 49/2448 Calculate prob of sequence di when two letters picked without replacement from {c: 4, i: 1, d: 4, q: 1, s: 1}. 2/55 Calculate prob of sequence bk when two letters picked without replacement from {v: 2, b: 1, k: 2}. 1/10 Four letters picked without replacement from bbabaaa. What is prob of sequence abaa? 3/35 What is prob of sequence dgdv when four letters picked without replacement from dgvggkkgkgdvkdd? 1/273 Two letters picked without replacement from {n: 3, i: 1, y: 5, r: 1}. Give prob of sequence iy. 1/18 Calculate prob of sequence hwdd when four letters picked without replacement from {w: 2, h: 1, v: 1, r: 10, d: 2}. 1/10920 Three letters picked without replacement from kkiixykkxikiyikxkxro. Give prob of sequence kox. 7/1710 Calculate prob of sequence dtpp when four letters picked without replacement from pdpt. 1/12 What is prob of sequence xccx when four letters picked without replacement from {x: 3, c: 12}? 11/455 What is prob of sequence sm when two letters picked without replacement from kjsyyjjyymsys? 1/52 Three letters picked without replacement from {d: 3, x: 3}. Give prob of sequence dxd. 3/20 Three letters picked without replacement from phxhxnwj. Give prob of sequence jhh. 1/168 Two letters picked without replacement from {e: 6, k: 9, s: 2}. What is prob of sequence kk? 9/34 What is prob of sequence ii when two letters picked without replacement from aaaiaaii? 3/28 Calculate prob of sequence kk when two letters picked without replacement from ekcxbbbcxbbbkybe. 1/120 Two letters picked without replacement from {n: 2, p: 1, e: 1, v: 4, w: 2, g: 2}. What is prob of sequence gg? 1/66 Calculate prob of sequence tlf when three letters picked without replacement from fizzliztzltztifztznt. 1/342 Two letters picked without replacement from sssnknsssnssn. What is prob of sequence nk? 1/39 What is prob of sequence vdy when three letters picked without replacement from {v: 3, d: 1, k: 1, y: 3, f: 6}? 3/728 What is prob of sequence kkqk when four letters picked without replacement from qrkkk? 1/20 Two letters picked without replacement from wwittttyiwilrrt. Give prob of sequence lw. 1/70 What is prob of sequence xt when two letters picked without replacement from xtwwt? 1/10 Four letters picked without replacement from {s: 1, j: 4, e: 10, f: 2}. What is prob of sequence sjef? 1/714 Four letters picked without replacement from jejeetceuijijui. What is prob of sequence tici? 1/5460 Two letters picked without replacement from tftufufuuufuut. What is prob of sequence tf? 6/91 What is prob of sequence wl when two letters picked without replacement from {d: 6, l: 1, w: 4}? 2/55 What is prob of sequence jjzs when four letters picked without replacement from {j: 2, i: 2, z: 1, s: 1}? 1/180 Calculate prob of sequence xdd when three letters picked without replacement from {c: 1, d: 6, m: 6, x: 6}. 10/323 Calculate prob of sequence ss when two letters picked without replacement from egtstenesefs. 1/22 Three letters picked without replacement from evvvggeevevvvev. Give prob of sequence vev. 4/39 What is prob of sequence mm when two letters picked without replacement from mmmmmmmmmmtmm? 11/13 Four letters picked without replacement from lzzzxzxl. Give prob of sequence zzzl. 1/35 Calculate prob of sequence gg when two letters picked without replacement from {g: 4, j: 2, e: 1, u: 2, z: 3}. 1/11 Calculate prob of sequence hcw when three letters picked without replacement from hkzzcgw. 1/210 Two letters picked without replacement from {m: 1, q: 8, x: 2, t: 5, f: 2}. What is prob of sequence tx? 5/153 Calculate prob of sequence ko when two letters picked without replacement from {v: 8, k: 2, o: 4}. 4/91 Two letters picked without replacement from lslllnsyy. What is prob of sequence ly? 1/9 What is prob of sequence jjc when three letters picked without replacement from {j: 6, c: 4}? 1/6 Three letters picked without replacement from {x: 2, a: 1, l: 3, g: 1}. Give prob of sequence gla. 1/70 Four letters picked without replacement from {v: 7}. Give prob of sequence vvvv. 1 Calculate prob of sequence bdh when three letters picked without replacement from fhdsbss. 1/210 What is prob of sequence ehyh when four letters picked without replacement from {v: 3, h: 2, t: 1, e: 1, y: 3}? 1/840 Calculate prob of sequence qq when two letters picked without replacement from yqyqqyyy. 3/28 Calculate prob of sequence wdq when three letters picked without replacement from wkdvzwq. 1/105 Calculate prob of sequence th when two letters picked without replacement from {g: 3, q: 1, t: 2, h: 4}. 4/45 Two letters picked without replacement from {i: 2, z: 2, a: 1}. What is prob of sequence zz? 1/10 Two letters picked without replacement from bbsssggbgegisgib. Give prob of sequence ss. 1/20 Two letters picked without replacement from vvgqgggguvw. What is prob of sequence gv? 3/22 Three letters picked without replacement from {n: 10, q: 9}. What is prob of sequence qnn? 45/323 What is prob of sequence jcj when three letters picked without replacement from {j: 9, x: 1, c: 1, q: 8}? 4/323 Two letters picked without replacement from {h: 4, u: 1, y: 3}. Give prob of sequence hh. 3/14 Four letters picked without replacement from {a: 3, x: 5}. Give prob of sequence aaxa. 1/56 What is prob of sequence qh when two letters picked without replacement from {p: 2, w: 1, b: 2, q: 1, s: 8, h: 1}? 1/210 Four letters picked without replacement from {k: 9, o: 6, a: 4}. Give prob of sequence kaaa. 3/1292 Two letters picked without replacement from {p: 7, b: 2, z: 3}. What is prob of sequence bz? 1/22 Calculate prob of sequence jjjl when four letters picked without replacement from jjjjjjjl. 1/8 Two letters picked without replacement from ppp. What is prob of sequence pp? 1 Four letters picked without replacement from rvoovaaiavvoarvivj. Give prob of sequence jaav. 1/1020 Four letters picked without replacement from {c: 3, d: 2, g: 1, x: 4, b: 6}. Give prob of sequence dgbd. 1/3640 Calculate prob of sequence mm when two letters picked without replacement from mcmmmmcmmcmcmmcmccm. 22/57 Three letters picked without replacement from opopyoopoop. What is prob of sequence pyp? 2/165 Two letters picked without replacement from niinnniininnii. What is prob of sequence ni? 7/26 Three letters picked without replacement from {k: 3, v: 8, e: 3, m: 3}. What is prob of sequence vmm? 1/85 Calculate prob of sequence wt when two letters picked without replacement from {p: 2, t: 5, w: 5, k: 3, a: 1}. 5/48 Three letters picked without replacement from opvoooveopvpo. What is prob of sequence peo? 3/286 Four letters picked without replacement from {n: 3, g: 3, r: 5}. Give prob of sequence gnrr. 1/44 Calculate prob of sequence fg when two letters picked without replacement from {s: 4, f: 1, g: 3}. 3/56 What is prob of sequence emmf when four letters picked without replacement from ftmeffnddfmd? 1/1485 Four letters picked without replacement from {p: 2, g: 4, i: 4, q: 5}. Give prob of sequence qiqp. 4/819 Two letters picked without replacement from aaarararrdada. What is prob of sequence ar? 7/39 Four letters picked without replacement from {p: 1, g: 2, y: 2, q: 4, j: 1}. Give prob of sequence jqqy. 1/210 What is prob of sequence qq when two letters picked without replacement from qbbqbqbuqq? 2/9 Calculate prob of sequence nn when two letters picked without replacement from nnnnnnnuuunnnnnnnnnn. 68/95 What is prob of sequence xob when three letters picked without replacement from {v: 5, o: 6, b: 1, h: 2, x: 1, d: 1}? 1/560 Three letters picked without replacement from llcrllcclcrrllcclcl. What is prob of sequence lll? 28/323 Two letters picke
{ "pile_set_name": "DM Mathematics" }
(l + 3 - 3)*(0 + 1 + 0) + (2*l - 2*l - 3*l)*(2 - 1 + 0) in the form j*l + r and give j. 36 Rearrange -15*s - 21 + 21 - s**2 - s**3 to the form y + o*s + u*s**2 + h*s**3 and give o. -15 Rearrange 8164*f + 87*f**2 - 8164*f + 2 to s*f**2 + a*f + k and give k. 2 Express ((-3*r + 3 - 3)*(-1 - 1 + 1) - 61*r + 26*r + 23*r)*(-8 + 3 - 8) as w + x*r and give x. 117 Express 381*n + 423*n - 44*n + (-4*n + 7*n - 4*n)*(0 + 4 - 2) in the form b + a*n and give a. 758 Rearrange -103*u**2 - 83*u**2 + 11*u**2 - 45*u**2 - u**2 to h*u + f + n*u**2 and give n. -221 Express -4*l**4 - l**4 - l**3 - l**2 + 2*l**4 + l**4 + 9 + 208*l - 209*l as c*l**2 + z + o*l**3 + h*l + s*l**4 and give z. 9 Express 13*z - 12*z + 0*z - z + 642*z**2 as t + i*z + n*z**2 and give n. 642 Rearrange (-u**4 + 3 - 3)*(702 - 58 + 1489 - 327) to i*u**4 + g*u**2 + x + w*u + n*u**3 and give i. -1806 Express c**3 + 2*c**2 - 2*c**2 + (c**2 + 0*c + 0*c)*(-266*c - 390*c + 187*c) as h*c**2 + j + a*c + y*c**3 and give y. -468 Rearrange 0*j**3 + 2*j - 1041 - 2*j**3 + j**4 + 1040 - 17*j**2 to the form s*j + r*j**2 + q*j**3 + t*j**4 + f and give f. -1 Express (19 - 17 + 36)*(-17*t + 6*t + 4*t) + 0*t + t + t in the form f + y*t and give y. -264 Rearrange 4*q - 3 - 6 - 12 - 11 - 7 to l + u*q and give l. -39 Express (4 - 1 - 1)*(1 + 4 - 3)*(-158*d**3 - 5038*d**2 + 5038*d**2) in the form n*d**3 + l*d**2 + t*d + f and give n. -632 Express 2*l**2 - 66*l**3 + 5*l**4 + 3*l - l**4 + 64*l**3 + l**2 + l + 1 in the form q*l + j*l**4 + m*l**2 + u + k*l**3 and give m. 3 Express -3*s**2 - 14876*s + 5*s**4 + 14943*s - 3*s**3 + s**3 - 4*s**4 in the form z*s + k*s**2 + n*s**3 + p + v*s**4 and give n. -2 Express -110*w**3 - 53*w**2 + 320*w**3 - 109*w**3 - 103*w**3 as t*w**3 + u*w**2 + o*w + i and give u. -53 Express 71 - 15*y - 41 - 37 in the form u + g*y and give g. -15 Rearrange (-70*p**3 - 17*p**3 + 38*p**3)*(0 + 0 + 2*p) to the form f*p**2 + b*p**4 + d + n*p + t*p**3 and give b. -98 Rearrange (-3*d + 2*d + 2*d)*(-15 - 29 - 25) + (5*d + d - 3*d)*(-3 + 0 + 6) to the form u + j*d and give j. -60 Rearrange ((2 - 3 + 4)*(-2*u - u + 11*u) - 2*u + 0*u - 8*u + 2*u + 0 + 0)*(-u - 2 + 2) to h*u**2 + d + b*u and give h. -16 Rearrange -6*o**4 - o**3 + 2*o**2 - o + 3*o**3 + 245 - 245 to the form i*o + l*o**4 + u*o**3 + a + t*o**2 and give i. -1 Rearrange (4 - 2 + 1)*(-3*z + z + 0*z)*(1 - 1 + 2) + (6 - 7 - 6)*(-2*z - z + 2*z) - 2*z + 6*z - 3*z to w*z + b and give w. -4 Rearrange -8*x + 0*x + x**4 - 2*x - 1 - 2*x**3 + 7*x to the form g*x**2 + o*x + h + v*x**4 + f*x**3 and give h. -1 Rearrange 2*o + 476 - 234 - 232 to the form h*o + p and give h. 2 Rearrange -4*m - 2 + 4*m + 113*m**2 + 600*m**2 - 1110*m**2 to the form d*m**2 + c + r*m and give c. -2 Rearrange (12 + 3*p**2 - 354*p + 354*p)*(-2 + 0 + 1) to the form g*p**2 + b + o*p and give g. -3 Express 23 - 19 - 6 + 70*f**3 in the form m + d*f**2 + u*f + v*f**3 and give m. -2 Express 500 + 301 - 167 - h as d*h + o and give d. -1 Express (-12*z**2 + 7*z - 7*z)*(8*z**2 + 1 + 3*z**2 + 0) as m*z**4 + q*z**2 + h*z**3 + k + a*z and give m. -132 Rearrange (2*k - k - 6*k)*(0 + 0 + 5)*(-5 + 3 + 0 + (1 + 1 - 3)*(-2 + 1 + 2))*(0 - 1 - 3) to g*k + p and give g. -300 Express (5*m + m - 5*m)*(-4*m + m + 2*m) + 111*m**2 + 16*m**2 + 12*m**2 as a*m + n*m**2 + x and give n. 138 Express -89*t**2 + 177*t**2 - 90*t**2 + 26 + 3*t as w + d*t + l*t**2 and give w. 26 Rearrange 230*z - 76*z**2 - 466*z + 231*z to the form y + p*z + i*z**2 and give p. -5 Rearrange -3537*f**2 - 226*f**2 - 7828*f**2 + 637*f**2 + (0*f - 2*f + 0*f)*(-5 + 5 + f) to j + n*f + h*f**2 and give h. -10956 Rearrange (-1 + 0 + 2)*(2*c - 4 + 4)*(-16*c + 12 - 12) - 99 - 2*c**2 + 6*c**2 + 100 to the form m*c + j + t*c**2 and give j. 1 Express 178*u - 40*u + 217*u + 56*u + 90*u as q*u + c and give q. 501 Rearrange -258*y**2 + 95*y**2 - 58*y**2 - 1890*y**2 to the form v*y + z*y**2 + q and give z. -2111 Rearrange 176 - 2*o + 363 - 748 to the form d + w*o and give d. -209 Rearrange 155*q - 12 + 12 + 52*q to the form z + n*q and give n. 207 Rearrange 2*b**4 - 26*b**2 + 83*b**2 - b**4 + 1 - 27*b**2 to the form w + c*b + h*b**2 + q*b**4 + t*b**3 and give q. 1 Rearrange -45 + l + 46 - 24*l - 7*l to the form c + p*l and give c. 1 Rearrange -122*b**2 + 106 + 113 - 219 to u + j*b**2 + z*b and give j. -122 Express -2 + 11 - 9 + 16*h**4 - 17 - 4 - h as k*h + t*h**4 + n + q*h**2 + b*h**3 and give k. -1 Express h**4 - 1373*h**2 + h - h**3 + 297 + 1373*h**2 + 0*h**3 as w + q*h**4 + k*h**3 + f*h**2 + n*h and give n. 1 Express (456 - 240 - 232 - y)*(1 - 8 - 3) as v + g*y and give g. 10 Express -1672 + s**3 + 1672 + 199*s in the form q*s + l*s**2 + y*s**3 + w and give y. 1 Rearrange (2362*j - 1087*j - 1106*j)*(3*j**2 - 5*j**2 + 5*j**2) to the form o*j + q*j**2 + i + x*j**3 and give x. 507 Rearrange g + 38 + 43*g + 0*g + 3*g**2 + g - 46*g + g**3 to v*g**2 + x + k*g + p*g**3 and give x. 38 Rearrange -302*d + 152*d + 148*d to v + g*d and give g. -2 Express 0*d**2 - 2*d**2 + d**2 + (2*d**2 - 2*d**2 + d**2)*(4 - 2 - 3) - 5*d**2 - 3*d**2 + d**2 - 22*d**2 + 102*d**2 + 25*d**2 as n*d + j*d**2 + l and give j. 96 Express (-4*r - 3 + 3)*(r - r - 6*r)*(r + 0 - 1 + 4*r) as u + s*r**2 + m*r + t*r**3 and give t. 120 Express (-55 - 142 + 26 - 13)*(3*c**2 - c**2 - c**2) in the form j*c + d + u*c**2 and give u. -184 Rearrange 14818*w**3 - 6 - 14820*w**3 + 3 to g + m*w**3 + k*w**2 + o*w and give g. -3 Rearrange (-4*w + 12*w + 6 - 6*w)*(-1 + 0 + 0)*(-94 - 103 + 230) to the form r + b*w and give b. -66 Express 2*h**3 - 10*h**4 + 23*h**4 - 14*h**4 - 3*h**3 + 2 + 5*h**2 as c + u*h + q*h**3 + a*h**2 + w*h**4 and give c. 2 Rearrange 2*s + 31*s**2 + s**3 + 2*s + 9*s - s - 13*s to the form h + v*s + j*s**3 + f*s**2 and give v. -1 Rearrange -62*w - 57*w - 57*w - 65*w + 239*w + 170 to l*w + k and give l. -2 Express -2*s + 2*s**3 - s**2 - 27*s**3 + 38*s**3 as a + g*s**2 + c*s + n*s**3 and give g. -1 Rearrange 1 + 141*h**3 - 304*h**2 - 309*h**2 + 614*h**2 to l*h + v*h**2 + z + i*h**3 and give i. 141 Rearrange 11*i**3 + 20*i + 46*i - 64*i + 3*i**4 to the form o*i**2 + t*i + s + x*i**3 + g*i**4 and give g. 3 Rearrange 27 + 56*q**2 - 27 to l + j*q**2 + w*q and give j. 56 Express -151459 + j**2 + 0*j**2 + 151380 as w*j + t + r*j**2 and give r. 1 Rearrange (-2591*y**2 - 912*y**2 - 700*y**2 - 2430*y**2 + 816*y**2)*(-2*y + y**2 + 2*y) to the form s*y**4 + x + n*y**3 + p*y**2 + b*y and give s. -5817 Rearrange -4631 - 4*c**2 - 12*c**4 - 3*c**2 + 4629 to j*c**4 + u + q*c**2 + m*c**3 + w*c and give q. -7 Rearrange (128 + 40*q - 128)*(-1 - 1 + 4) + (0 + q + 0)*(-2 + 1 - 1) - q + 5*q - 3*q + q + q - 2 + 3*q to the form s*q + m and give s. 84 Express -13 + 2*d**2 - 43*d**3 + 13*d**3 + 2*d**2 + 16 as q*d + z*d**3 + v + j*d**2 and give v. 3 Rearrange 1766*r - 6 + 6 + 509*r to the form v*r + m and give v. 2275 Rearrange -4*o**3 + 5*o**3 - 3*o**3 + (-66*o**3 + 93*o**3 - 26*o + 23*o)*(1 - 3 + 0) to m + r*o + z*o**2 + i*o**3 and give r. 6 Express 0*i + i - 2*i + 1 + 2*i - 1 + (2*i + 3 - 3)*(2 - 4 + 0) - i - 1 + 1 - 60*i - 69*i - 850 + 128*i as w + n*i and give w. -850 Express -6*r - 32 - 30 + 61 + (2 + 2 - 2)*(4 - r - 4) in the form l + f*r and give f. -8 Rearrange -404*h**2 + 1255*h**2 + 4 + 2 - 6 to s*h + k + f*h**2 and give f. 851 Rearrange (1135 - 370 - 396 + 958 + 522)*(2*t - 2*t**2 - 2*t) to the form k + h*t**2 + y*t and give h. -3698 Rearrange -840*d**2 + 341*d**2 + 388*d**2 + (0 + 2 + 0)*(3*d**2 - 2*d**2 - 2*d**2) to z*d**2 + k*d + g and give z. -113 Rearrange 5 + 20*m + 6215*m**4 - 4*m**3 - 4 - 6219*m**4 + 2*m**3 to the form n + z*m**4 + l*m + u*m**3 + b*m**2 and give l. 20 Express (0*g**2 - 3*g**3 + 0*g**2)*(-2 + 4 - 1)*(233 + 85 - 41 + 55) in the form b*g**2 + x + h*g**3 + y*g and give h. -996 Express 0 + 0 + 53*k**3 + 7*k - 140*k**3 in the form o*k**3 + u + i*k + f*k**2 and give f. 0 Rearrange (3 - 3 + x)*(-1 + 1 + 14*x)*(5 - 88*x + 43*x + 42*x) to s*x**2 + v*x + l*x**3 + a and give v. 0 Rearrange -3*j - 2*j + 8*j - 2*j - 75 to the form a*j + p and give p. -75 Express (36 - 7*s - 36)*(2*s + 4*s - 3*s)*(17 + 32 - 20) as l*s**2 + w*s + d and give w. 0 Express (-84 - 182 + 62)*(2 + g - 2) in the form i*g + o and give o. 0 Rearrange (-2*t + t - t + (0 + 0 - 2*t)*(0 + 1 - 3))*(20 - 38 - 76) to the for
{ "pile_set_name": "DM Mathematics" }
grams are there in thirty-one halves of a kilogram? 15500 Convert 33.08181kg to nanograms. 33081810000000 How many months are there in 360237.4 decades? 43228488 How many microseconds are there in 43.95453 weeks? 26583699744000 What is 7/2 of a kilogram in grams? 3500 What is 0.6258566 micrograms in kilograms? 0.0000000006258566 Convert 8.760383kg to micrograms. 8760383000 What is 834.1266 millimeters in nanometers? 834126600 Convert 27569.66s to milliseconds. 27569660 Convert 42.07573 millennia to decades. 4207.573 What is one quarter of a tonne in kilograms? 250 How many hours are there in fifteen quarters of a day? 90 What is seventy-six fifths of a meter in centimeters? 1520 How many kilograms are there in 27/4 of a tonne? 6750 How many millilitres are there in twenty-one fifths of a litre? 4200 What is 0.633812 hours in nanoseconds? 2281723200000 How many kilograms are there in eighteen fifths of a tonne? 3600 What is one sixteenth of a gram in micrograms? 62500 What is 31772.75ml in litres? 31.77275 What is thirty-two fifths of a millisecond in microseconds? 6400 How many decades are there in thirty-one fifths of a millennium? 620 What is fifteen quarters of a centimeter in micrometers? 37500 What is 3/5 of a decade in years? 6 What is 1/5 of a hour in minutes? 12 How many meters are there in twenty-one quarters of a kilometer? 5250 What is 1/10 of a day in seconds? 8640 What is 0.268814 tonnes in nanograms? 268814000000000 What is one sixteenth of a gram in micrograms? 62500 What is 0.9977643 millimeters in kilometers? 0.0000009977643 Convert 408.4561 nanometers to micrometers. 0.4084561 What is 7/2 of a litre in millilitres? 3500 How many millimeters are there in 7/8 of a meter? 875 Convert 2915.471km to nanometers. 2915471000000000 How many centimeters are there in 0.155um? 0.0000155 Convert 0.566985 millilitres to litres. 0.000566985 How many micrograms are there in 0.0252576mg? 25.2576 What is 61/4 of a meter in millimeters? 15250 How many meters are there in 9/10 of a kilometer? 900 What is 6/25 of a tonne in kilograms? 240 How many nanograms are there in 3/32 of a milligram? 93750 How many litres are there in 78.97674 millilitres? 0.07897674 How many months are there in twenty-nine halves of a century? 17400 How many millimeters are there in 49982.15 centimeters? 499821.5 What is thirteen eighths of a meter in millimeters? 1625 What is 7/2 of a litre in millilitres? 3500 Convert 84512.9 millilitres to litres. 84.5129 How many decades are there in 6/5 of a millennium? 120 What is seventeen halves of a milligram in micrograms? 8500 Convert 0.3856682ml to litres. 0.0003856682 What is nineteen quarters of a litre in millilitres? 4750 Convert 39337.77 micrograms to grams. 0.03933777 How many months are there in 1/6 of a decade? 20 How many hours are there in 7/2 of a week? 588 How many months are there in thirty-two fifths of a decade? 768 What is 61/4 of a micrometer in nanometers? 15250 What is 108562.3 seconds in nanoseconds? 108562300000000 Convert 0.7525993kg to nanograms. 752599300000 How many centimeters are there in 7292.942mm? 729.2942 How many months are there in 7/6 of a decade? 140 How many days are there in twelve sevenths of a week? 12 What is 48522.94 hours in nanoseconds? 174682584000000000 How many nanometers are there in 3/50 of a millimeter? 60000 What is 354911.3 millennia in decades? 35491130 Convert 0.1208835 centuries to years. 12.08835 What is nineteen quarters of a kilogram in grams? 4750 How many millilitres are there in 1/5 of a litre? 200 What is 9388.668ml in litres? 9.388668 What is 8/25 of a litre in millilitres? 320 Convert 66002.61 grams to nanograms. 66002610000000 What is 2118.076 nanometers in kilometers? 0.000000002118076 Convert 33.14l to millilitres. 33140 Convert 17404.64 millennia to decades. 1740464 What is 0.7420035 nanometers in centimeters? 0.00000007420035 What is 1/4 of a litre in millilitres? 250 What is 32/5 of a kilogram in grams? 6400 What is 3/10 of a litre in millilitres? 300 What is 1.458513 micrograms in grams? 0.000001458513 Convert 0.509953s to microseconds. 509953 How many milliseconds are there in fifty-four fifths of a second? 10800 How many nanograms are there in fifty-nine quarters of a microgram? 14750 What is 13/8 of a litre in millilitres? 1625 How many decades are there in 44/5 of a century? 88 What is seventeen quarters of a litre in millilitres? 4250 Convert 0.7528217 days to microseconds. 65043794880 How many seconds are there in 3/10 of a day? 25920 What is 0.13763 millilitres in litres? 0.00013763 What is 7/4 of a kilometer in meters? 1750 How many months are there in 13/5 of a decade? 312 How many minutes are there in 23/3 of a hour? 460 How many litres are there in 0.9098482ml? 0.0009098482 How many microseconds are there in 628.6824 days? 54318159360000 Convert 36432.64 nanometers to centimeters. 0.003643264 How many millilitres are there in 17/2 of a litre? 8500 How many milliseconds are there in 17/2 of a second? 8500 How many kilograms are there in 6/25 of a tonne? 240 How many millennia are there in 4949.278 decades? 49.49278 What is 356.2698 centimeters in meters? 3.562698 How many millilitres are there in three fifths of a litre? 600 How many millimeters are there in 3.650065nm? 0.000003650065 What is 33/5 of a century in months? 7920 What is one twentieth of a millisecond in microseconds? 50 What is 0.2981258 kilometers in centimeters? 29812.58 How many nanograms are there in 7/2 of a microgram? 3500 Convert 6499.666 nanometers to meters. 0.000006499666 How many seconds are there in one fifth of a hour? 720 What is 5/8 of a millennium in months? 7500 What is five eighths of a litre in millilitres? 625 What is 185.21 nanograms in tonnes? 0.00000000000018521 How many grams are there in fourty-five quarters of a kilogram? 11250 What is 21/8 of a litre in millilitres? 2625 How many decades are there in 929.9638 years? 92.99638 How many days are there in 6.603812 weeks? 46.226684 How many kilograms are there in 8127.259 tonnes? 8127259 What is 9/10 of a kilogram in grams? 900 How many nanograms are there in 0.2640524 tonnes? 264052400000000 What is 87064.61km in meters? 87064610 Convert 5.717155mm to nanometers. 5717155 What is 51322.86um in centimeters? 5.132286 How many nanoseconds are there in 75579.16ms? 75579160000 What is 52/5 of a kilogram in grams? 10400 How many millennia are there in 59418.77 years? 59.41877 What is 22148.72 millilitres in litres? 22.14872 How many litres are there in 30.1836ml? 0.0301836 How many hours are there in seven thirds of a week? 392 Convert 36.71925 kilograms to tonnes. 0.03671925 How many millimeters are there in 22255.87 nanometers? 0.02225587 What is 6/5 of a litre in millilitres? 1200 How many millilitres are there in 13/8 of a litre? 1625 How many millilitres are there in 3/5 of a litre? 600 What is three sixteenths of a kilometer in centimeters? 18750 Convert 32130.2 millilitres to litres. 32.1302 How many seconds are there in one ninth of a week? 67200 What is one tenth of a litre in millilitres? 100 What is 11/10 of a meter in centimeters? 110 How many millilitres are there in 24.38826l? 24388.26 How many millimeters are there in 817.904 nanometers? 0.000817904 How many micrometers are there in 4.435656 millimeters? 4435.656 How many centimeters are there in 3/5 of a meter? 60 How many millilitres are there in seven eighths of a litre? 875 Convert 2.650342km to nanometers. 2650342000000 How many nanometers are there in 804056.2 centimeters? 8040562000000 What is 42/5 of a century in decades? 84 How many millilitres are there in fourty-three halves of a litre? 21500 How many litres are there in 16927.49 millilitres? 16.92749 What is one quarter of a microsecond in nanoseconds? 250 What is 0.8181439 micrometers in kilometers? 0.0000000008181439 What is 98891.28ml in litres? 98.89128 How many milligrams are there in 13/4 of a gram? 3250 What is 673212.5 years in months? 8078550 What is 7.940408 centimeters in micrometers? 79404.08 How many nanometers are there in 0.9160538mm? 916053.8 What is 5/8 of a litre in millilitres? 625 What is 211476.24 months in millennia? 17.62302 How many centimeters are there in one fi
{ "pile_set_name": "DM Mathematics" }
. 0.9 Round -46.72494 to one decimal place. -46.7 Round -671.81571 to the nearest ten. -670 What is 3824.8137 rounded to the nearest one thousand? 4000 Round 0.00014355996 to seven dps. 0.0001436 Round -0.04819938 to 5 dps. -0.0482 What is 29295080 rounded to the nearest ten thousand? 29300000 Round -0.0503834 to two decimal places. -0.05 Round 1853470 to the nearest one million. 2000000 What is -1930226 rounded to the nearest 1000? -1930000 Round -1630.64 to the nearest 10. -1630 What is 36.557988 rounded to one dp? 36.6 Round -0.000000952416 to 7 dps. -0.000001 Round 0.00335268 to five decimal places. 0.00335 Round -1086.2 to the nearest one thousand. -1000 What is -0.00000033658002 rounded to 7 decimal places? -0.0000003 What is -6156.91 rounded to the nearest 10? -6160 Round -5507 to the nearest one hundred thousand. 0 Round -0.00004407138 to six dps. -0.000044 What is -87221.3 rounded to the nearest one hundred? -87200 Round 13.5327 to 1 dp. 13.5 What is 0.49881 rounded to one decimal place? 0.5 Round 877329 to the nearest 1000. 877000 What is -7526.57 rounded to the nearest one hundred? -7500 Round 0.00006860426 to 7 dps. 0.0000686 Round 30.110324 to the nearest integer. 30 What is -19480.3 rounded to the nearest 1000? -19000 What is -3246 rounded to the nearest 100000? 0 Round 0.0025463198 to four dps. 0.0025 Round -869340 to the nearest 10000. -870000 Round -418.52624 to one decimal place. -418.5 What is -448.7441 rounded to the nearest integer? -449 What is 24614.84 rounded to the nearest one thousand? 25000 What is -0.00000652623 rounded to seven decimal places? -0.0000065 What is -0.0000011950388 rounded to 7 dps? -0.0000012 Round -671501000 to the nearest one million. -672000000 What is 0.5456192 rounded to two dps? 0.55 What is 882.739 rounded to the nearest 100? 900 Round -0.11931309 to three dps. -0.119 Round 0.017170207 to three decimal places. 0.017 Round -606491.39 to the nearest 100. -606500 What is -4.66649 rounded to one dp? -4.7 Round 0.974919 to 1 dp. 1 What is -687.55 rounded to the nearest 10? -690 Round 29151790 to the nearest 10000. 29150000 What is -0.0076217037 rounded to five dps? -0.00762 What is 0.00219361 rounded to 3 decimal places? 0.002 What is 726826060 rounded to the nearest one million? 727000000 What is -644397.8 rounded to the nearest one thousand? -644000 What is -34444300 rounded to the nearest 1000000? -34000000 What is -9041.7 rounded to the nearest 1000? -9000 What is -0.0707016 rounded to two dps? -0.07 What is 9540300 rounded to the nearest one hundred thousand? 9500000 Round -4273.255 to the nearest 1000. -4000 What is -4.97367 rounded to two dps? -4.97 Round 9.06486 to one dp. 9.1 What is -2624.5676 rounded to zero dps? -2625 Round -0.000000728807 to 7 dps. -0.0000007 What is 0.13370374 rounded to three decimal places? 0.134 What is -8820510 rounded to the nearest one hundred thousand? -8800000 Round -343401000 to the nearest one million. -343000000 Round 2355.6 to the nearest 1000. 2000 Round 0.0142297 to two decimal places. 0.01 What is 0.0000002421025 rounded to seven decimal places? 0.0000002 Round -0.01300509 to 2 dps. -0.01 What is 429728.9 rounded to the nearest ten thousand? 430000 What is 0.004102381 rounded to six dps? 0.004102 What is 0.5880028 rounded to 1 decimal place? 0.6 Round -0.02096607 to three dps. -0.021 Round -47607.44 to the nearest 10. -47610 Round 286.62975 to one decimal place. 286.6 Round -36566000 to the nearest one million. -37000000 Round -0.000023669005 to 7 decimal places. -0.0000237 What is -0.4420911 rounded to four decimal places? -0.4421 What is 51.12392 rounded to 1 decimal place? 51.1 What is -0.000005889194 rounded to six decimal places? -0.000006 Round -3081988 to the nearest 10000. -3080000 What is 26.0738 rounded to the nearest 10? 30 What is -333.328 rounded to the nearest 10? -330 Round -11716.11 to the nearest 100. -11700 Round 0.0002991935 to 7 dps. 0.0002992 Round -6.52308 to the nearest integer. -7 What is 69007.973 rounded to the nearest 100? 69000 What is -64063.9 rounded to the nearest 100? -64100 Round -1.643931 to three decimal places. -1.644 Round 356.102 to the nearest integer. 356 Round -0.02258616 to 5 decimal places. -0.02259 Round 0.02784286 to 5 decimal places. 0.02784 What is 263880.1 rounded to the nearest 1000? 264000 What is 440768.5 rounded to the nearest one thousand? 441000 What is 0.00064906819 rounded to seven dps? 0.0006491 What is -2875900 rounded to the nearest one thousand? -2876000 Round -0.040725916 to three decimal places. -0.041 What is 0.000004598478 rounded to seven decimal places? 0.0000046 What is 0.249141 rounded to three dps? 0.249 Round 0.000004457442 to 6 dps. 0.000004 What is 933429 rounded to the nearest 100000? 900000 Round 5450674 to the nearest 1000000. 5000000 What is -603608.3 rounded to the nearest 10000? -600000 Round 0.00003099762 to six decimal places. 0.000031 Round 60769710 to the nearest one million. 61000000 What is -0.00055784424 rounded to 6 decimal places? -0.000558 Round -470482.8 to the nearest ten thousand. -470000 What is -216938000 rounded to the nearest 1000000? -217000000 Round -39.7763 to the nearest integer. -40 Round -0.00072272 to 5 dps. -0.00072 What is -121.926 rounded to 1 dp? -121.9 Round -634527 to the nearest 1000. -635000 What is -0.088612023 rounded to 3 decimal places? -0.089 What is -0.0007579736 rounded to 4 dps? -0.0008 What is -2.866371 rounded to three dps? -2.866 Round 0.0000039909 to 5 dps. 0 Round -1064.588 to the nearest one hundred. -1100 Round -93.4079 to the nearest 10. -90 Round -0.0000956283 to five dps. -0.0001 Round 0.76374 to one dp. 0.8 What is 10.93519 rounded to 1 dp? 10.9 Round 17.66712 to 1 dp. 17.7 Round -32843.115 to the nearest 1000. -33000 What is 45.9715 rounded to one dp? 46 Round -21126100 to the nearest one million. -21000000 What is 0.001168033 rounded to three decimal places? 0.001 Round 0.006424457 to 4 decimal places. 0.0064 What is -14889300 rounded to the nearest 1000000? -15000000 Round -9.727523 to one dp. -9.7 Round -0.0002877132 to five dps. -0.00029 What is -71708.672 rounded to the nearest ten? -71710 Round 0.0019671257 to four decimal places. 0.002 Round 0.00044745 to four dps. 0.0004 Round 49310750 to the nearest 100000. 49300000 What is 868102040 rounded to the nearest 1000000? 868000000 Round -0.0007411753 to 4 dps. -0.0007 Round 5241.28 to the nearest one hundred. 5200 Round 0.00462987 to 5 dps. 0.00463 Round -0.000000531035 to 7 dps. -0.0000005 What is 0.00003614559 rounded to six decimal places? 0.000036 What is 25345.42 rounded to the nearest one thousand? 25000 Round -25361 to the nearest 10. -25360 What is 0.41544 rounded to 2 decimal places? 0.42 Round 14.87166 to two decimal places. 14.87 What is -27548790 rounded to the nearest 100000? -27500000 Round 4785.575 to the nearest one hundred. 4800 What is 3.533211 rounded to two decimal places? 3.53 Round -1.993883 to 1 dp. -2 What is 0.5664257 rounded to 3 decimal places? 0.566 Round 4.19473 to the nearest integer. 4 Round -0.0001890381 to 5 decimal places. -0.00019 Round -404555.5 to the nearest one hundred. -404600 What is -17519.25 rounded to the nearest one hundred? -17500 What is -0.0192685 rounded to three decimal places? -0.019 What is -1711.08 rounded to the nearest one thousand? -2000 Round 8917.9 to the nearest 1000. 9000 What is -68.5124 rounded to 1 decimal place? -68.5 Round -881676 to the nearest 10000. -880000 Round 128354.26 to the nearest 10000. 130000 What is 6098488 rounded to the nearest 10000? 6100000 What is -16818100 rounded to the nearest 10000? -16820000 What is -40031840 rounded to the nearest one million? -40000000 What is 225.514 rounded to the nearest integer? 226 Round 256.2613 to the nearest ten. 260 Round -134.2796 to the nearest ten. -130 Round -0.000672697 to 4 dps. -0.0007 What is -149851000 rounded to the nearest 100000? -149900000 Round 0.0087376 to 3 decimal places. 0.009 What is -0.0005274089 rounded to 4 decimal places? -0.0005 Round -0.002848098 to 3 dps. -0.003 Round -1444.6722 to the nearest integer. -1445 Round 0.0005677016 to six dps. 0.000568 What is -23846.22 rounded to the nearest one thousand? -24000 Round 6.83115 to two
{ "pile_set_name": "DM Mathematics" }
17 What is 103564 to the power of 1/2, to the nearest integer? 322 What is 3529 to the power of 1/2, to the nearest integer? 59 What is the eighth root of 38545 to the nearest integer? 4 What is the eighth root of 34272 to the nearest integer? 4 What is the seventh root of 96616 to the nearest integer? 5 What is the fourth root of 1238 to the nearest integer? 6 What is 3215 to the power of 1/2, to the nearest integer? 57 What is 12850 to the power of 1/2, to the nearest integer? 113 What is 1802 to the power of 1/3, to the nearest integer? 12 What is 1468 to the power of 1/2, to the nearest integer? 38 What is 1722 to the power of 1/9, to the nearest integer? 2 What is the sixth root of 14071 to the nearest integer? 5 What is 21918 to the power of 1/3, to the nearest integer? 28 What is the cube root of 43 to the nearest integer? 4 What is 4732 to the power of 1/3, to the nearest integer? 17 What is the square root of 68339 to the nearest integer? 261 What is 913 to the power of 1/5, to the nearest integer? 4 What is 6075 to the power of 1/5, to the nearest integer? 6 What is the square root of 4826 to the nearest integer? 69 What is the third root of 23303 to the nearest integer? 29 What is the square root of 2943 to the nearest integer? 54 What is 180 to the power of 1/9, to the nearest integer? 2 What is 4066 to the power of 1/6, to the nearest integer? 4 What is the square root of 18224 to the nearest integer? 135 What is the square root of 23921 to the nearest integer? 155 What is the fourth root of 17599 to the nearest integer? 12 What is 3966 to the power of 1/6, to the nearest integer? 4 What is the fourth root of 3638 to the nearest integer? 8 What is the square root of 6569 to the nearest integer? 81 What is the square root of 14447 to the nearest integer? 120 What is the seventh root of 5031 to the nearest integer? 3 What is the sixth root of 103070 to the nearest integer? 7 What is the third root of 22 to the nearest integer? 3 What is the third root of 49947 to the nearest integer? 37 What is the square root of 22827 to the nearest integer? 151 What is 92694 to the power of 1/2, to the nearest integer? 304 What is 5239 to the power of 1/3, to the nearest integer? 17 What is 7477 to the power of 1/3, to the nearest integer? 20 What is the cube root of 37458 to the nearest integer? 33 What is the square root of 10783 to the nearest integer? 104 What is the square root of 4643 to the nearest integer? 68 What is the cube root of 5183 to the nearest integer? 17 What is 878 to the power of 1/3, to the nearest integer? 10 What is the square root of 2728 to the nearest integer? 52 What is 2137 to the power of 1/4, to the nearest integer? 7 What is the square root of 7249 to the nearest integer? 85 What is 226 to the power of 1/5, to the nearest integer? 3 What is the third root of 2881 to the nearest integer? 14 What is 43997 to the power of 1/5, to the nearest integer? 8 What is 2805 to the power of 1/2, to the nearest integer? 53 What is 12385 to the power of 1/3, to the nearest integer? 23 What is the ninth root of 15910 to the nearest integer? 3 What is the ninth root of 9728 to the nearest integer? 3 What is 27135 to the power of 1/2, to the nearest integer? 165 What is the cube root of 19991 to the nearest integer? 27 What is 25068 to the power of 1/4, to the nearest integer? 13 What is 9712 to the power of 1/3, to the nearest integer? 21 What is 5984 to the power of 1/2, to the nearest integer? 77 What is the ninth root of 6975 to the nearest integer? 3 What is the square root of 4987 to the nearest integer? 71 What is the cube root of 7812 to the nearest integer? 20 What is the seventh root of 556 to the nearest integer? 2 What is the third root of 21885 to the nearest integer? 28 What is the square root of 49595 to the nearest integer? 223 What is 26018 to the power of 1/8, to the nearest integer? 4 What is 1305 to the power of 1/2, to the nearest integer? 36 What is 862 to the power of 1/10, to the nearest integer? 2 What is the square root of 2706 to the nearest integer? 52 What is the third root of 18475 to the nearest integer? 26 What is 16501 to the power of 1/3, to the nearest integer? 25 What is the cube root of 1567 to the nearest integer? 12 What is the tenth root of 7708 to the nearest integer? 2 What is the fifth root of 2242 to the nearest integer? 5 What is 1536 to the power of 1/5, to the nearest integer? 4 What is 6672 to the power of 1/2, to the nearest integer? 82 What is the square root of 18736 to the nearest integer? 137 What is the square root of 44407 to the nearest integer? 211 What is 1237 to the power of 1/3, to the nearest integer? 11 What is 46291 to the power of 1/4, to the nearest integer? 15 What is 4323 to the power of 1/2, to the nearest integer? 66 What is 14692 to the power of 1/2, to the nearest integer? 121 What is the square root of 3143 to the nearest integer? 56 What is 72851 to the power of 1/2, to the nearest integer? 270 What is the seventh root of 1151 to the nearest integer? 3 What is 108869 to the power of 1/3, to the nearest integer? 48 What is the third root of 1808 to the nearest integer? 12 What is 28920 to the power of 1/5, to the nearest integer? 8 What is 727 to the power of 1/8, to the nearest integer? 2 What is 2246 to the power of 1/6, to the nearest integer? 4 What is the cube root of 26745 to the nearest integer? 30 What is 5664 to the power of 1/7, to the nearest integer? 3 What is the fifth root of 26737 to the nearest integer? 8 What is the cube root of 989 to the nearest integer? 10 What is the square root of 10020 to the nearest integer? 100 What is the seventh root of 11924 to the nearest integer? 4 What is the tenth root of 78276 to the nearest integer? 3 What is the fifth root of 10011 to the nearest integer? 6 What is the fifth root of 20485 to the nearest integer? 7 What is 125168 to the power of 1/9, to the nearest integer? 4 What is the tenth root of 889 to the nearest integer? 2 What is the square root of 14076 to the nearest integer? 119 What is 2650 to the power of 1/7, to the nearest integer? 3 What is 263 to the power of 1/4, to the nearest integer? 4 What is the square root of 54956 to the nearest integer? 234 What is 509 to the power of 1/10, to the nearest integer? 2 What is the square root of 7651 to the nearest integer? 87 What is 4766 to the power of 1/8, to the nearest integer? 3 What is 1753 to the power of 1/2, to the nearest integer? 42 What is 2227 to the power of 1/2, to the nearest integer? 47 What is 30304 to the power of 1/6, to the nearest integer? 6 What is the square root of 2754 to the nearest integer? 52 What is 1292 to the power of 1/5, to the nearest integer? 4 What is the square root of 11929 to the nearest integer? 109 What is 9389 to the power of 1/3, to the nearest integer? 21 What is the seventh root of 9359 to the nearest integer? 4 What is the square root of 22040 to the nearest integer? 148 What is the fourth root of 7168 to the nearest integer? 9 What is the fifth root of 11486 to the nearest integer? 6 What is the sixth root of 167 to the nearest integer? 2 What is 3586 to the power of 1/5, to the nearest integer? 5 What is 117565 to the power of 1/2, to the nearest integer? 343 What is the sixth root of 8675 to the nearest integer? 5 What is the cube root of 1827 to the nearest integer? 12 What is 291 to the power of 1/2, to the nearest integer? 17 What is 5824 to the power of 1/2, to the nearest integer? 76 What is the cube root of 29894 to the nearest integer? 31 What is 61788 to the power of 1/3, to the nearest integer? 40 What is 910 to the power of 1/7, to the nearest integer? 3 What is the third root of 4968 to the nearest integer? 17 What is the cube root of 411 to the nearest integer? 7 What is the eighth root of 9665 to the nearest integer? 3 What is 1024 to the power of 1/10, to the nearest integer? 2 What is the square root of 5083 to the nearest integer? 71 What is 37065 to the power of 1/7, to the nearest integer? 4 What is 5714 to the power of 1/7, to the nearest integer? 3 What is the seventh root of 13897 to the nearest integer? 4 What is 558 to the power of 1/3, to the nearest integer? 8 What is 5102 t
{ "pile_set_name": "DM Mathematics" }
125847? 3, 59, 79 What are the prime factors of 19? 19 What are the prime factors of 3958? 2, 1979 What are the prime factors of 47232? 2, 3, 41 List the prime factors of 20534. 2, 10267 What are the prime factors of 20069? 7, 47, 61 What are the prime factors of 186? 2, 3, 31 What are the prime factors of 444? 2, 3, 37 What are the prime factors of 2156? 2, 7, 11 List the prime factors of 22461. 3, 7487 List the prime factors of 1800. 2, 3, 5 What are the prime factors of 4747? 47, 101 What are the prime factors of 5781? 3, 41, 47 What are the prime factors of 71936? 2, 281 List the prime factors of 33865. 5, 13, 521 List the prime factors of 1001. 7, 11, 13 What are the prime factors of 3100? 2, 5, 31 What are the prime factors of 2915? 5, 11, 53 What are the prime factors of 14315? 5, 7, 409 What are the prime factors of 79083? 3, 29, 101 List the prime factors of 7191. 3, 17, 47 List the prime factors of 573. 3, 191 List the prime factors of 3832. 2, 479 What are the prime factors of 2594? 2, 1297 What are the prime factors of 3778? 2, 1889 What are the prime factors of 336? 2, 3, 7 What are the prime factors of 4657? 4657 List the prime factors of 39970. 2, 5, 7, 571 What are the prime factors of 25613? 7, 3659 List the prime factors of 6370. 2, 5, 7, 13 What are the prime factors of 1590? 2, 3, 5, 53 List the prime factors of 1975. 5, 79 What are the prime factors of 1338? 2, 3, 223 What are the prime factors of 1825? 5, 73 List the prime factors of 26325. 3, 5, 13 List the prime factors of 12085. 5, 2417 What are the prime factors of 91? 7, 13 What are the prime factors of 67888? 2, 4243 What are the prime factors of 41252? 2, 10313 List the prime factors of 940. 2, 5, 47 What are the prime factors of 52777? 89, 593 List the prime factors of 89698. 2, 7, 43, 149 What are the prime factors of 37926? 2, 3, 7, 43 What are the prime factors of 390? 2, 3, 5, 13 What are the prime factors of 2542? 2, 31, 41 List the prime factors of 260. 2, 5, 13 What are the prime factors of 74238? 2, 3, 12373 What are the prime factors of 2430? 2, 3, 5 What are the prime factors of 19886? 2, 61, 163 List the prime factors of 51808. 2, 1619 List the prime factors of 429. 3, 11, 13 What are the prime factors of 7602? 2, 3, 7, 181 What are the prime factors of 4193? 7, 599 What are the prime factors of 4059? 3, 11, 41 List the prime factors of 36359. 103, 353 What are the prime factors of 866? 2, 433 What are the prime factors of 1031? 1031 What are the prime factors of 29596? 2, 7, 151 List the prime factors of 1696. 2, 53 List the prime factors of 4672. 2, 73 What are the prime factors of 1014? 2, 3, 13 List the prime factors of 26322. 2, 3, 41, 107 What are the prime factors of 7321? 7321 What are the prime factors of 32214? 2, 3, 7, 13, 59 What are the prime factors of 3373? 3373 What are the prime factors of 2214? 2, 3, 41 List the prime factors of 5363. 31, 173 List the prime factors of 19126. 2, 73, 131 List the prime factors of 6363. 3, 7, 101 What are the prime factors of 12816? 2, 3, 89 List the prime factors of 1352. 2, 13 What are the prime factors of 1412? 2, 353 What are the prime factors of 621? 3, 23 List the prime factors of 83637. 3, 9293 List the prime factors of 13172. 2, 37, 89 List the prime factors of 55793. 55793 What are the prime factors of 70998? 2, 3, 11833 List the prime factors of 528. 2, 3, 11 What are the prime factors of 11720? 2, 5, 293 What are the prime factors of 1053? 3, 13 What are the prime factors of 6315? 3, 5, 421 List the prime factors of 1086. 2, 3, 181 What are the prime factors of 173? 173 List the prime factors of 447. 3, 149 What are the prime factors of 18235? 5, 7, 521 List the prime factors of 33962. 2, 16981 What are the prime factors of 5347? 5347 What are the prime factors of 651? 3, 7, 31 What are the prime factors of 69517? 7, 9931 List the prime factors of 1269. 3, 47 What are the prime factors of 47428? 2, 71, 167 List the prime factors of 1226. 2, 613 What are the prime factors of 24? 2, 3 What are the prime factors of 5413? 5413 List the prime factors of 5938. 2, 2969 List the prime factors of 850. 2, 5, 17 List the prime factors of 74622. 2, 3, 12437 List the prime factors of 14199. 3, 4733 What are the prime factors of 27861? 3, 37, 251 List the prime factors of 389. 389 List the prime factors of 4518. 2, 3, 251 List the prime factors of 6135. 3, 5, 409 List the prime factors of 59182. 2, 127, 233 What are the prime factors of 6626? 2, 3313 List the prime factors of 90924. 2, 3, 7577 List the prime factors of 158349. 3, 52783 What are the prime factors of 33673? 151, 223 List the prime factors of 1375. 5, 11 List the prime factors of 446. 2, 223 List the prime factors of 8036. 2, 7, 41 What are the prime factors of 13664? 2, 7, 61 List the prime factors of 2270. 2, 5, 227 What are the prime factors of 1235? 5, 13, 19 List the prime factors of 889. 7, 127 What are the prime factors of 13472? 2, 421 What are the prime factors of 2661? 3, 887 What are the prime factors of 4610? 2, 5, 461 List the prime factors of 26199. 3, 41, 71 What are the prime factors of 31040? 2, 5, 97 What are the prime factors of 1195? 5, 239 List the prime factors of 288. 2, 3 List the prime factors of 12933. 3, 479 List the prime factors of 327. 3, 109 What are the prime factors of 21597? 3, 23, 313 What are the prime factors of 17772? 2, 3, 1481 What are the prime factors of 101102? 2, 50551 List the prime factors of 84891. 3, 28297 What are the prime factors of 16437? 3, 5479 What are the prime factors of 503? 503 List the prime factors of 76896. 2, 3, 89 List the prime factors of 2103. 3, 701 What are the prime factors of 1009? 1009 What are the prime factors of 26392? 2, 3299 What are the prime factors of 3381? 3, 7, 23 What are the prime factors of 39235? 5, 7, 19, 59 What are the prime factors of 545? 5, 109 List the prime factors of 10013. 17, 19, 31 What are the prime factors of 1880? 2, 5, 47 What are the prime factors of 699? 3, 233 What are the prime factors of 131559? 3, 43853 What are the prime factors of 2022? 2, 3, 337 List the prime factors of 1178. 2, 19, 31 List the prime factors of 1395. 3, 5, 31 List the prime factors of 2426. 2, 1213 What are the prime factors of 349? 349 What are the prime factors of 3153? 3, 1051 List the prime factors of 69738. 2, 3, 59, 197 List the prime factors of 90761. 11, 37, 223 List the prime factors of 16258. 2, 11, 739 List the prime factors of 339. 3, 113 What are the prime factors of 859? 859 List the prime factors of 2975. 5, 7, 17 What are the prime factors of 72054? 2, 3, 4003 What are the prime factors of 17882? 2, 8941 List the prime factors of 971. 971 What are the prime factors of 17216? 2, 269 What are the prime factors of 27883? 27883 List the prime factors of 75368. 2, 9421 What are the prime factors of 2405? 5, 13, 37 What are the prime factors of 7781? 31, 251 What are the prime factors of 2885? 5, 577 What are the prime factors of 3109? 3109 List the prime factors of 1604. 2, 401 List the prime factors of 67698. 2, 3, 3761 List the prime factors of 6857. 6857 List the prime factors of 3346. 2, 7, 239 List the prime factors of 656. 2, 41 What are the prime factors of 2280? 2, 3, 5, 19 List the prime factors of 879. 3, 293 List the prime factors of 1517. 37, 41 List the prime factors of 108965. 5, 19, 31, 37 What are the prime factors of 34534? 2, 31, 557 What are the prime factors of 18686? 2, 9343 What are the prime factors of 300? 2, 3, 5 List the prime factors of 1037. 17, 61 List the prime factors of 553. 7, 79 What are the prime factors of 77356? 2, 83, 233 What are the prime factors of 2603? 19, 137 What are the prime factors of 11578? 2, 7, 827 List the prime factors of 361. 19 List the prime factors of 6019. 13, 463 What are the prime factors of 9295? 5, 11, 13 What are the prime factors of 12540? 2, 3, 5, 11, 19 List the prime factors of 27927. 3, 29, 107 List the prime factors of 1382. 2, 691 List the prime factors of 1817. 23, 79 List the prime factors of 7193. 7193 What are the prime factors of 18247? 71, 257 What are the prime factors of 18732? 2, 3, 7, 223 What are the prime factors of 33717? 3, 11239 What are the prime factors of 8536? 2, 11
{ "pile_set_name": "DM Mathematics" }
g**5 + 1/50*g**6 + 0*g**2 + 1/210*g**7 - 1/15*g**3 + g - 1/20*g**4 + 16. Factor q(f). f*(f - 1)*(f + 1)**2*(f + 2)/5 Solve 16348*t - 3519*t - 192 + 11907*t + 264196*t**3 - 800812*t**2 = 0. 4/257, 3 Let l(h) be the third derivative of -h**6/60 + 37*h**5/30 - 105*h**2 + 3. Determine t so that l(t) = 0. 0, 37 Let u(p) = -7*p**2 + 1943*p - 464643. Let b(y) = 3*y**2 - 970*y + 232322. Let l(s) = 5*b(s) + 2*u(s). Solve l(h) = 0 for h. 482 Let n(z) be the first derivative of 30*z**2 - 175*z**3 - 12/7*z + 126. Factor n(g). -3*(35*g - 2)**2/7 Suppose 0 = 318*y + 397*y + 121*y - 1672. Factor 34/5*u**y + 2/5*u**3 + 126/5*u - 162/5. 2*(u - 1)*(u + 9)**2/5 Let b = 253 - 168. Let v(x) = -9*x**2 + 0*x**2 - 11 - 1758*x + 1738*x. Let h(d) = -125*d**2 - 280*d - 155. Let w(y) = b*v(y) - 6*h(y). Factor w(j). -5*(j + 1)*(3*j + 1) Let p = 40 - 33. Let s = -4 + p. Factor 85*w**3 + w**2 + 85*w**3 - 169*w**s. w**2*(w + 1) Let g(w) = -2*w**3 - w**2 - w + 24. Let n(s) = -278*s**2 + 3274*s - 10732. Let h(m) = -2*g(m) + n(m). Solve h(b) = 0 for b. 7, 55 Factor -9/2*m**3 + 3*m**4 + 1/4*m**5 + 729/4*m + 0 - 81*m**2. m*(m - 3)**2*(m + 9)**2/4 Let o(q) be the second derivative of -q**6/105 + 17*q**5/14 - 997*q**4/21 + 7520*q**3/21 + 9600*q**2/7 + 75*q - 12. Determine j so that o(j) = 0. -1, 6, 40 Let s = 1009/1778 - -1/254. Suppose 0*d + 4*d + 9 = -3*r, 5*d + 5*r = -15. Factor 4/7*f**2 + 0*f + d + 4/7*f**3 - 4/7*f**4 - s*f**5. -4*f**2*(f - 1)*(f + 1)**2/7 Let v(b) be the second derivative of -3*b**5/80 - 9*b**4/8 - 5672*b. Factor v(k). -3*k**2*(k + 18)/4 Let d = -2 + 3. Let w = -2841 - -2899. Factor d + 5*j**3 - w*j**2 + 58 - 10 + 23 + 156*j. (j - 6)**2*(5*j + 2) Let -2/5*f**3 - 72/5*f**2 + 0 - 256/5*f = 0. What is f? -32, -4, 0 Let f = 3730/909 + -46672/11817. Determine o, given that f*o**2 - 30/13 + 4/13*o = 0. -5, 3 Let n = 128 - 193. Let k be ((-3)/2)/(-4 + n/(-20)). What is h in -3*h - 3*h + 3*h**3 + 73*h**k - 70*h**2 = 0? -2, 0, 1 Let g be ((-14)/(-4))/((-34)/(-68)). What is u in g*u**3 - 24 + 14*u**3 - 16*u**2 - 44*u - 17*u**3 + 0*u**3 = 0? -1, 6 Let h(v) = 3966*v**3 + 7*v**2 - 5*v. Let s be h(1). Suppose 3956 = -6*z + s. Factor 0 + 0*p - 3/2*p**5 + 0*p**2 - z*p**3 - 4*p**4. -p**3*(p + 2)*(3*p + 2)/2 Let i(r) = 4*r**3 + 69*r**2 - 688*r + 65. Let o be i(7). Factor 12/7*g**3 + 147*g**o + 21930/7*g - 5547/7. 3*(g + 43)**2*(4*g - 1)/7 Let w(x) = -15*x - 7. Let n be w(-3). Let k = n + -36. Determine l, given that 156*l - 4*l**2 + 0*l**k - 168*l = 0. -3, 0 Let m(l) be the first derivative of -84 - 1/3*l**3 + 1/2*l**2 + l - 1/4*l**4. Factor m(d). -(d - 1)*(d + 1)**2 Let q(v) = 11*v**2 + 11*v - 20. Let i be q(-2). Let b(k) be the first derivative of 15*k**i + 5/3*k**3 - 3 - 35*k. Factor b(n). 5*(n - 1)*(n + 7) Let l(h) be the second derivative of h**6/55 + 37*h**5/110 + 139*h**4/66 + 115*h**3/33 - 150*h**2/11 + 4284*h. Determine g so that l(g) = 0. -5, -3, 2/3 Suppose -36*h - 27*h = -126. Let x(j) be the second derivative of -1/10*j**5 - 3*j**h + 1/2*j**4 + 0 + 10*j + 1/3*j**3. Let x(c) = 0. What is c? -1, 1, 3 Suppose 4/5*u**4 - 32/5 + 88/5*u + 48/5*u**2 + 6/5*u**5 - 74/5*u**3 = 0. Calculate u. -4, -1, 1/3, 2 Solve -23/2*j**4 - 7/4*j**5 + 25*j - 2*j**2 - 87/4*j**3 + 12 = 0. -3, -2, -4/7, 1 Let s(x) = -x**3 + 3*x**2 + 2*x - 6. Let b be s(2). Let 26*j**2 + 9*j**2 - 36*j**b + 13*j = 0. Calculate j. 0, 13 Suppose r = -2*q + 34, 79*q = 77*q + 3*r + 42. Let m(u) be the second derivative of 1/4*u**4 - 1/5*u**3 + 1/50*u**6 + 0 - q*u - 3/25*u**5 + 0*u**2. Factor m(i). 3*i*(i - 2)*(i - 1)**2/5 Let o(f) be the third derivative of -f**5/390 + 9*f**4/52 + 160*f**3/39 + 470*f**2 - 4*f. Find h such that o(h) = 0. -5, 32 Let t be (-2256)/10340*(4/14*175/(-15) - 0). Factor 0 - 10/11*o**2 - 2/11*o**3 - t*o. -2*o*(o + 1)*(o + 4)/11 What is r in -108/5*r**4 + 0 - 144*r**2 - 2/5*r**5 - 674/5*r**3 + 1504/5*r = 0? -47, -4, 0, 1 Let n(o) be the second derivative of 2*o**4/3 - 73*o**3/6 + 36*o**2 - 3858*o. Find a, given that n(a) = 0. 9/8, 8 Let j(m) = -4*m**3 - 18*m**2 - 154*m - 163. Let y(s) = -5*s**3 - 27*s**2 - 230*s - 245. Let p(w) = 7*j(w) - 5*y(w). Factor p(b). -3*(b - 7)*(b + 2)**2 Let a(v) = 13*v + 104. Let z be a(-8). Suppose z = -m + 3*q - 4*q + 6, 3*m + 2 = 2*q. Determine k, given that -2/15*k**m + 2/15*k + 4/5 = 0. -2, 3 Suppose 80 = -4*g + 9*g. Suppose -9*h = -7*h - g. Factor -2*z - 8*z - 8*z - h*z**2 + 2*z - z**3. -z*(z + 4)**2 Let g(m) = -5*m**4 - 38*m**3 + 457*m**2 - 420*m. Let v(a) = -15*a**4 - 113*a**3 + 1372*a**2 - 1260*a. Let s(r) = -8*g(r) + 3*v(r). Let s(x) = 0. Calculate x. -14, 0, 1, 6 Let i(z) be the second derivative of 8*z**3 + 0 - 72*z - 12/5*z**5 + 0*z**2 - 1/3*z**4 + 2/15*z**6. Factor i(o). 4*o*(o - 12)*(o - 1)*(o + 1) Let w(m) be the second derivative of 16 + 0*m**3 + 4/3*m**4 - 2/21*m**7 + 0*m**2 - 8/15*m**6 + 1/5*m**5 - 7*m. Solve w(o) = 0. -4, -1, 0, 1 Let w(t) = -2*t**2 - 3023*t + 574564. Let x(c) = -20*c**2 - 27204*c + 5171076. Let q(d) = -28*w(d) + 3*x(d). Factor q(a). -4*(a - 379)**2 Let o(c) = -c**2 + c + 9. Let a(x) = -4*x**2 + 259*x - 9. Let u(y) = a(y) + o(y). Factor u(k). -5*k*(k - 52) Let 0*z + 2/13*z**4 + 10/13*z**3 + 0 - 28/13*z**2 = 0. Calculate z. -7, 0, 2 Let j(d) be the third derivative of 1/132*d**6 - 138*d**2 + 0*d**4 + 0 + 1/110*d**5 + 1/1155*d**7 - 1/1848*d**8 + 0*d + 0*d**3. Suppose j(a) = 0. What is a? -1, 0, 3 Let u(t) be the third derivative of 0 - 41*t**2 - 3/70*t**5 - 1/280*t**6 + 15/56*t**4 + 0*t - 4/7*t**3. Factor u(l). -3*(l - 1)**2*(l + 8)/7 Let c(u) be the second derivative of u**4/8 - 1697*u**3 + 8639427*u**2 + 5644*u + 1. Suppose c(x) = 0. Calculate x. 3394 Suppose 1/3*u**2 + 183 + 70/3*u = 0. What is u? -61, -9 Suppose 76 = -29532*c + 29570*c. Factor -1/4*m**3 - 1369/4 - 75/4*m**c - 1443/4*m. -(m + 1)*(m + 37)**2/4 Let w(j) = -j**3 + 9*j**2 + 2*j - 9. Let d be w(5). Suppose -101 + d = -9*c. Solve -4/3*k + 4/3*k**3 + 0*k**2 + c = 0 for k. -1, 0, 1 Factor -2247264/5*c + 3672/5*c**2 + 458441856/5 - 2/5*c**3. -2*(c - 612)**3/5 Let -651*f + 1780*f + 542*f**3 + 28911 + 1335 + 13142*f - 420*f**2 - 539*f**3 = 0. Calculate f. -2, 71 Solve -340/7*k**2 + 36/7*k**3 + 864/7*k - 320/7 = 0 for k. 4/9, 4, 5 Let t(z) be the third derivative of -z**8/3024 - z**7/630 + z**5/135 + z**2 + 3*z. Factor t(p). -p**2*(p - 1)*(p + 2)**2/9 Factor 2*g**2 + 124 + 12*g - 397 + 71 + 92. 2*(g - 5)*(g + 11) Let y(j) = -609*j**2 - 615*j + 43. Let b(a) = 203*a**2 + 205*a - 12. Let q(u) = 28*b(u) + 8*y(u). Determine z, given that q(z) = 0. -1, -2/203 Let z(k) be the second derivative of -22/51*k**3 + 2 + 0*k**2 + 75*k - 1/102*k**4. Find r, given that z(r) = 0. -22, 0 Let z(k) be the second derivative of -k**6/20 - 471*k**5/40 + 159*k**4/4 - 7233*k. Find t, given that z(t) = 0. -159, 0, 2 Let q be (100/(-35))/((-6)/21). Let v be ((-2)/q)/((-30)/300). Suppose 4/5*y**5 + 16/5 + 28/5*y**3 - 4*y**4 + 4/5*y**v - 32/5*y = 0. Calculate y. -1, 1, 2 Suppose -30*s - 19 = -31*s. Let w be (-63)/7 + s + -8. Let 0 + 2/19*y - 12/19*y**3 - 10/19*y**w = 0. Calculate y. -1, 0, 1/6 Determine b so that -10 + 185/4*b**3 - 13*b**4 + 47*b - 143/2*b**2 + 5/4*b**5 = 0. 2/5, 1, 2, 5 Suppose 0 = 8*f - 6*f - 144. What is v in 1493*v**2 - f - 150*v - 54*v - 1573*v**2 + 100*v**3 = 0? -3/5, 2 Let b be 60/(-8)*(-14)/35. Determine i so that -4*i**b + 508 - 251 - 260 + i**4 + 4*i + 2*i**2 = 0. -1, 1, 3 Let z(f) be the first derivative of -51/8*f**2 - 66 + 1/24*f**3 + 2601/8*f. Factor z(j). (j - 51)**2/8 Let j(u) = 17*u + 496. Let q be j(-29). Suppose -5*h = 2*y - 6, 0 = -5*h - y + q - 0. Factor 40/3*c**2 - 80/3 + 0*c**3 - 5/3*c**4 + h*c. -5*(c - 2)**2*(c + 2)**2/3 Let h be (-25520)/9280 + -1*373/(-28). Solve 116/7*p - 16/7 - 26/7*p**3 - h*p**2 = 0. -4, 2/13, 1 Solve 1/5*d**5 + 0*d**2 + 0*d + 9/5*d**4 - 38*d**3 + 0 = 0 for d. -19, 0, 10 Determine f, given that -1/9*f**2 + 5926/9*f - 8779369/9 = 0. 2963 Let h(r) = -2*r**3 + 78*r**2 - 750*r - 114. Let t be h(21). Determine c, given that -t - 121/3*c**2 + 44*c = 0. 6/11 Let i be 8/(-28) + ((-2082)/14)/1. Let j = i - -149. Factor 1/12*m**3 + 1/3*m + j - 1/3*m**2. m*(m - 2)**2/12 Let z = -8 + 14. Suppose -y + 2 = l, -4*l + z = 7*y - 2*y. Factor -t**l + 2*t + 5*t**4 + 0*t**3 - 4*t**2 - 2*t**3. 2*t*(t - 1)*(t + 1)*(2*t - 1) Let c = 18186 + -55040/3. Let d =
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
-6 (b) -3/7 (c) -206 b Which is the biggest value? (a) 0.2 (b) 4/9 (c) -2 (d) -0.01441 b Which is the third smallest value? (a) -2 (b) 0.2 (c) -20 (d) 12 (e) 0 e Which is the third smallest value? (a) -0.3 (b) 1.5 (c) 3 c Which is the biggest value? (a) -4 (b) 0.2 (c) 8 (d) 0.5 (e) -9/5 c What is the biggest value in -7, 4, 0, -0.1, -29? 4 Which is the second biggest value? (a) 0 (b) -8 (c) 7/5 a What is the fifth smallest value in -1/3, 5, -5/3, -9, 1? 5 What is the fifth biggest value in -1/6, -0.1, 2/7, -0.4, 0.22? -0.4 What is the fourth smallest value in -6, 9/5, 4, -4? 4 Which is the third smallest value? (a) -3 (b) -156 (c) 7 c What is the smallest value in -2/3, 68, -1, 1.5, 4? -1 What is the third biggest value in -1, 1, 0.02? -1 What is the biggest value in 4, -221, -0.016? 4 Which is the biggest value? (a) -3 (b) 15 (c) 3/4 b What is the second biggest value in -3/4, -0.08, 0, -5/4? -0.08 What is the fifth biggest value in -5/4, 1, 0.4, 7/3, 3? -5/4 What is the third smallest value in -1, 0.07, 1, -0.052? 0.07 Which is the second biggest value? (a) -4 (b) 3 (c) -1/5 (d) 2/703 (e) 0.3 e What is the third biggest value in -0.9, 0.1, 2, 0, 15? 0.1 What is the third biggest value in 2/7, 1, -3, -2/15? -2/15 Which is the fourth biggest value? (a) 5 (b) -1 (c) 6 (d) 15 b What is the second biggest value in 0.14, 3, -2? 0.14 Which is the second biggest value? (a) 14.4 (b) 71 (c) 2/3 a What is the biggest value in -4, 5, 0.156? 5 What is the third biggest value in 0.2, -6, 1/2, -7/2? -7/2 What is the second smallest value in -1, 0, -2/11, -5? -1 Which is the smallest value? (a) -5 (b) 4 (c) 0.5 (d) -3/7 a What is the second smallest value in -8/17, 0.5, 0? 0 What is the fourth smallest value in -0.5, 5, -4/5, 2/5? 5 Which is the second biggest value? (a) 1 (b) -1 (c) -100 b Which is the third smallest value? (a) -5 (b) 0.5 (c) 0 (d) 0.68 b What is the third smallest value in 5, -0.1, 1/24, -3? 1/24 Which is the third smallest value? (a) 3 (b) -3/4 (c) 0.26 a Which is the second smallest value? (a) 2/7 (b) 92/9 (c) -1 a What is the second smallest value in -22, 26, 5, -2/9? -2/9 Which is the second biggest value? (a) 0.03 (b) 2/3 (c) -1/65 a What is the second biggest value in 2/15, 1/3, 2, -5? 1/3 Which is the third biggest value? (a) 0.5 (b) 5 (c) -0.29 (d) -0.17 d Which is the third biggest value? (a) 3 (b) 7 (c) -1 (d) -1/5 d What is the smallest value in 1/3, 0.4, 1/6, -0.1? -0.1 Which is the fourth smallest value? (a) -0.5 (b) -2/21 (c) 1 (d) 0 c What is the smallest value in 326, 1/26, -3? -3 What is the third biggest value in -101/3, 5, -1/4? -101/3 What is the biggest value in 0, 4, 0.8? 4 Which is the second biggest value? (a) 10 (b) -14/3 (c) -2/9 c Which is the second smallest value? (a) -17060 (b) -0.3 (c) -5 c What is the second smallest value in 5, 3/5, 1.2, -0.3, 19/4? 3/5 What is the smallest value in -0.2, 0.039, -1, -2/5? -1 What is the third biggest value in 0.1, -259, -3/4? -259 What is the third smallest value in 0.5, -3, 4, 118? 4 Which is the smallest value? (a) 47 (b) 1/5 (c) -1 c What is the biggest value in 0, 0.4, -47, -4? 0.4 Which is the third smallest value? (a) -3 (b) 8 (c) 0 b Which is the second biggest value? (a) 1 (b) -1 (c) -0.033 (d) -22 c What is the fourth biggest value in -2/71, 4, 0.1, -3? -3 What is the second biggest value in 10, 3/64, -5? 3/64 Which is the second biggest value? (a) 4/5 (b) 5 (c) 3 (d) 11 b What is the fourth biggest value in 0.4, -2, 0.3, -338? -338 What is the third smallest value in 4, 2/9, -0.01? 4 Which is the second smallest value? (a) -2 (b) -0.015 (c) -3/5 c Which is the third biggest value? (a) 1 (b) 3/2 (c) 0.1 (d) -0.4 (e) 0.3 e What is the third biggest value in 0.4, -2/5, 74/7? -2/5 What is the second smallest value in -1/6, 60, -5/4? -1/6 Which is the second biggest value? (a) 2/13 (b) 25 (c) 0.7 (d) -3/8 (e) -4 c Which is the fifth biggest value? (a) 2 (b) -3 (c) 5/2 (d) -4 (e) 2.13 d What is the second smallest value in -5, 0.4, -54, -3/5? -5 Which is the second biggest value? (a) -3 (b) 6/31 (c) -1/7 (d) 0.4 b What is the second smallest value in 1, -3, -1/2, 221? -1/2 What is the second smallest value in 23, -0.2, -1, -5? -1 What is the second biggest value in -2/7, -6, 1/2? -2/7 Which is the smallest value? (a) 3/8 (b) 2 (c) 1/2 (d) 2/5 a What is the smallest value in 0.2, 69, 20? 0.2 What is the fourth smallest value in -0.2, 2, -1/6, -2/11, 0.3? 0.3 What is the fourth biggest value in -7/4, -0.4, 1.7, 0.5? -7/4 What is the third biggest value in -19, -0.05, -13? -19 Which is the third smallest value? (a) -2 (b) -5/4 (c) 54 (d) 4 d Which is the second biggest value? (a) -4 (b) -0.1 (c) -203 a What is the third biggest value in -1/5, 0.041, -28? -28 What is the smallest value in -9, 3.2, 1.1? -9 Which is the second biggest value? (a) 1/5 (b) 0.5 (c) 109 (d) -1 b Which is the smallest value? (a) -2/15 (b) -3 (c) 41 (d) 4 b Which is the second smallest value? (a) -42 (b) 0.1 (c) 9 (d) -4 d Which is the third biggest value? (a) -50 (b) -0.1 (c) -4/5 (d) -2 d What is the second smallest value in -1/4, -0.4, 2/5, 10, 2/15? -1/4 Which is the biggest value? (a) 3 (b) -0.3 (c) -28/3 (d) 5 d What is the biggest value in -2/9, 19, -50/17? 19 Which is the fourth biggest value? (a) -6 (b) 2 (c) -3/4 (d) -0.3 a Which is the smallest value? (a) 2 (b) 4 (c) 110 a Which is the smallest value? (a) -1 (b) 3/7 (c) -7/3 (d) -1/4 c Which is the third biggest value? (a) 1/6 (b) -0.01 (c) 2/9 b Which is the third smallest value? (a) 7 (b) 0.61 (c) 4 a What is the smallest value in 3, 10.32, -4? -4 Which is the second biggest value? (a) 0.3 (b) 3 (c) -1/6 a Which is the biggest value? (a) -0.1 (b) 0.14 (c) 2/3 (d) -7 c Which is the third smallest value? (a) 14.64 (b) -4 (c) -2/7 (d) -0.4 c Which is the third smallest value? (a) -3 (b) 82 (c) -2 b Which is the third biggest value? (a) -4/11 (b) -0.4 (c) 12 (d) -4 b Which is the smallest value? (a) -17 (b) -1/2 (c) 12/11 a What is the third smallest value in -0.26, 6/7, -0.4, 0.1? 0.1 Which is the biggest value? (a) 0.5 (b) -130 (c) 1/5 (d) 5 d What is the biggest value in 1/5, -2, 4, -69, 1/6? 4 What is the third biggest value in -46, 0.4, 0, -1? -1 What is the fourth biggest value in 0.2, 4, 0.04, -0.1, -45? -0.1 Which is the second biggest value? (a) 67/4 (b) -1 (c) -0.11 c What is the second biggest value in 1/4, 237/5, -1/2, 6? 6 Which is the third smallest value? (a) -32/11 (b) -0.2 (c) -2/13 c Which is the third biggest value? (a) -0.6 (b) 13 (c) -0.2 (d) 0.3 c Which is the biggest value? (a) 1.3 (b) 5 (c) -1 b Which is the third biggest value? (a) -4.87 (b) 4 (c) 3 a What is the smallest value in -0.5, 25, 10? -0.5 Which is the fifth biggest value? (a) -1 (b) -4 (c) -5 (d) -2 (e) -4/5 c What is the biggest value in -7, -5/3, -9? -5/3 What is the smallest value in 0, 1, -1898? -1898 Which is the second biggest value? (a) -0.4 (b) 0.3 (c) -5 (d) 0.03 (e) 9/2 b What is the fourth smallest value in -0.5, 2, 45, 5? 45 What is the biggest value in 8, -1/3, -0.4, 0.05? 8 What is the second smallest value in 22.17, -1, -2, 1? -1 What is the fourth smallest value in 2/3, -2/33, 3, -5? 3 Which is the second smallest value? (a) 2 (b) 95 (c) 0 a Which is the second biggest value? (a) 3 (b) -0.5 (c) 0.4 (d) 18 a What is the third smallest value in 5, -0.59, -3? 5 What is the smallest value in -2, 4, -3, -13/14? -3 Which is the third biggest value? (a) 0.22 (b) -0.6 (c) -29 c What is the second smallest value in -1, -2/7, -0.3, 43, 3/5? -0.3 Which is the third smallest value? (a) 1/6 (b) 1/4 (c) -9 (d) 0.1 a What is the fifth biggest value in 3, -3, 4/7, 5, 4? -3 What is the second biggest value in -17, 3, -0.05? -0.05 What is the fourth smallest value in 4, 1, 0.2, -2/5, -1/61? 1 What is the third biggest value in -3, -941, -3/2? -941 Which is the smallest value? (a) 2812 (b) 3 (c) -1 c What is the second smallest value in -1493, 1, 5? 1 Which is the third biggest value? (a) 777 (b) 2/3 (c) -0.01 c Which is t
{ "pile_set_name": "DM Mathematics" }
114 What is the common denominator of -173/180 and 29/45? 180 What is the smallest common multiple of 2181 and 4362? 4362 What is the least common multiple of 15 and 21? 105 What is the smallest common multiple of 224 and 7? 224 Calculate the least common multiple of 1764 and 24. 3528 What is the common denominator of -1/936 and -51/364? 6552 What is the lowest common multiple of 11 and 1010? 11110 What is the common denominator of 22/5 and -99/488? 2440 What is the least common multiple of 56 and 98? 392 Calculate the lowest common multiple of 513 and 741. 6669 Calculate the lowest common multiple of 1524 and 12. 1524 Find the common denominator of 125/36 and 149/90. 180 Find the common denominator of -11/2846 and 91/6. 8538 Calculate the common denominator of 95/116 and 49/5162. 10324 Calculate the common denominator of -101/1296 and 11/1512. 9072 Calculate the lowest common multiple of 5 and 1330. 1330 What is the common denominator of -68/57 and 74/33? 627 Calculate the least common multiple of 5915 and 4225. 29575 Find the common denominator of -111/10 and 21/46. 230 What is the common denominator of -19/96 and 83/60? 480 Calculate the smallest common multiple of 328 and 20. 1640 Calculate the lowest common multiple of 630 and 27. 1890 What is the lowest common multiple of 16 and 12? 48 What is the least common multiple of 210 and 630? 630 What is the smallest common multiple of 40 and 515? 4120 What is the lowest common multiple of 16 and 8? 16 Calculate the smallest common multiple of 35 and 1710. 11970 Calculate the common denominator of 54/1771 and 27/1610. 17710 What is the smallest common multiple of 369 and 1271? 11439 What is the common denominator of 29/3602 and 48/11? 39622 What is the least common multiple of 70 and 245? 490 What is the least common multiple of 1554 and 98? 10878 What is the common denominator of -73/328 and 33/8? 328 What is the lowest common multiple of 30 and 18? 90 Find the common denominator of -49/24 and -37/4056. 4056 Calculate the least common multiple of 18 and 81. 162 Find the common denominator of -107/36 and 25/1998. 3996 Calculate the least common multiple of 374 and 88. 1496 Calculate the lowest common multiple of 588 and 27. 5292 Find the common denominator of -83/78 and 61/26. 78 What is the common denominator of -71/292 and -99/136? 9928 Calculate the common denominator of -19/12 and 43/3426. 6852 What is the least common multiple of 1143 and 3429? 3429 Calculate the lowest common multiple of 232 and 116. 232 Find the common denominator of 89/528 and -83/792. 1584 Find the common denominator of -63/160 and 69/1220. 9760 What is the common denominator of -99/280 and 127/560? 560 Find the common denominator of -5/294 and 11/1764. 1764 What is the smallest common multiple of 159 and 20? 3180 Find the common denominator of 47/5810 and -87/3320. 23240 What is the least common multiple of 1700 and 1360? 6800 What is the common denominator of 13/148 and -55/2? 148 Calculate the smallest common multiple of 195 and 897. 4485 What is the least common multiple of 4227 and 12? 16908 Find the common denominator of -1/10 and 73/64. 320 Calculate the common denominator of 91/132 and -93/3740. 11220 Calculate the lowest common multiple of 344 and 43. 344 Find the common denominator of -19/3538 and -13/16. 28304 Calculate the common denominator of 173/210 and -25/4. 420 Calculate the common denominator of -101/14 and 105/68. 476 Find the common denominator of 13/708 and -79/118. 708 What is the smallest common multiple of 14 and 1302? 1302 Calculate the common denominator of 22/771 and -31/5397. 5397 What is the common denominator of -97/102 and -55/8? 408 What is the smallest common multiple of 9 and 8214? 24642 Calculate the common denominator of 3/109 and -1/6. 654 Find the common denominator of -29/3 and 41/26195. 78585 Find the common denominator of -44/5 and -82/15. 15 Calculate the lowest common multiple of 1080 and 33. 11880 Calculate the smallest common multiple of 13 and 13. 13 What is the common denominator of 22/93 and 47? 93 What is the common denominator of -97/1118 and -62/39? 3354 Calculate the smallest common multiple of 408 and 240. 4080 Calculate the least common multiple of 30 and 25. 150 Calculate the common denominator of -63/806 and 9/8. 3224 Calculate the lowest common multiple of 11 and 4796. 4796 Calculate the least common multiple of 48 and 132. 528 Find the common denominator of -43/10 and 79/12352. 61760 Calculate the common denominator of -28/699 and -49/72. 16776 What is the smallest common multiple of 24 and 468? 936 What is the least common multiple of 24 and 96? 96 What is the smallest common multiple of 246 and 14? 1722 Calculate the lowest common multiple of 44 and 4. 44 Calculate the lowest common multiple of 152 and 76. 152 Find the common denominator of 61/24 and 97/1464. 1464 Calculate the smallest common multiple of 18 and 220. 1980 What is the common denominator of -65/77 and 83/392? 4312 What is the common denominator of 31/1077 and 101/24? 8616 What is the common denominator of -63/44 and -97/240? 2640 Calculate the least common multiple of 100 and 140. 700 Find the common denominator of 15/11 and 37/40. 440 Calculate the lowest common multiple of 12 and 704. 2112 Calculate the lowest common multiple of 1140 and 330. 12540 Calculate the common denominator of -91/34 and -53/102. 102 What is the common denominator of 69/442 and 38/143? 4862 What is the common denominator of 71/32 and -161/480? 480 Calculate the common denominator of 27/77 and -13/44. 308 What is the least common multiple of 78 and 2158? 6474 Calculate the common denominator of 41/102 and -59/7. 714 What is the common denominator of 81/686 and -127/84? 4116 Find the common denominator of 63/20 and 11/20. 20 Find the common denominator of 47/1422 and 109/12. 2844 Find the common denominator of -25/264 and 17/88. 264 Calculate the least common multiple of 7 and 1320. 9240 Calculate the common denominator of 55/8 and 97/684. 1368 Calculate the smallest common multiple of 3078 and 741. 40014 Calculate the least common multiple of 5 and 669. 3345 Calculate the smallest common multiple of 204 and 102. 204 Calculate the lowest common multiple of 1188 and 270. 5940 Calculate the lowest common multiple of 22 and 2996. 32956 Calculate the common denominator of 103/14 and -44/371. 742 Find the common denominator of -50/7 and 73/3. 21 Calculate the common denominator of -61/8 and 103/190. 760 Calculate the least common multiple of 12 and 48. 48 Find the common denominator of -107/6 and 28/1009. 6054 Calculate the common denominator of 42 and -44/87. 87 What is the common denominator of 51/70 and -101/126? 630 Calculate the lowest common multiple of 2408 and 903. 7224 Calculate the common denominator of 81/4888 and 13/282. 14664 What is the common denominator of -25/84 and 25/882? 1764 What is the least common multiple of 8 and 40? 40 What is the common denominator of 33/76 and -83/18? 684 Calculate the common denominator of -11/5 and 9/55. 55 What is the smallest common multiple of 187 and 102? 1122 Calculate the smallest common multiple of 64 and 448. 448 What is the lowest common multiple of 222 and 222? 222 Calculate the common denominator of -163/510 and 23/1020. 1020 Calculate the smallest common multiple of 8766 and 33. 96426 What is the least common multiple of 8 and 140? 280 What is the common denominator of -79/16 and 19/32? 32 What is the smallest common multiple of 10 and 3616? 18080 Calculate the common denominator of 40/143 and -94/273. 3003 What is the common denominator of 41/24 and -27/44? 264 What is the lowest common multiple of 18 and 39? 234 What is the common denominator of -79/120 and -28/9? 360 Find the common denominator of 31/91 and -51/364. 364 Calculate the lowest common multiple of 1260 and 9. 1260 Find the common denominator of 37/112 and 49/128. 896 Calculate the least common multiple of 1008 and 96. 2016 Calculate the least common multiple of 72 and 112. 1008 What is the common denominator of -1/69 and -9/5? 345 What is the common denominator of -127/60 and 179/120? 120 Calculate the least common multiple of 437 and 8. 3496 Calculate the lowest common multiple of 10 and 82. 410 Fi
{ "pile_set_name": "DM Mathematics" }
ue in g, -1/2, -6? -6 Let n = -205/3 - -67. Let j = 0.33 - 0.53. Which is the biggest value? (a) j (b) 2 (c) n b Let t = -653 - -652. Let h = 8 - 13. What is the biggest value in t, 3/5, h? 3/5 Let y be 1*(-1)/4*(-8)/11. Which is the smallest value? (a) 4 (b) y (c) 8 (d) -2/7 d Let y = -7/212 - -5147/14628. Let v = 8/23 + y. What is the third biggest value in v, 0, -5? -5 Let n = 16 + -15.8. Which is the second biggest value? (a) 1 (b) n (c) -7 b Let z = 0.3 - 4.3. Let c = 1 + z. Let x = -6 - -6.5. What is the third biggest value in x, -1, c? c Let o = 4 + -3.9. Let p = 5 + -1. Suppose p = -n + 5*n. What is the third biggest value in n, 0.5, o? o Let f be (2/15)/((-1)/3). Let g be (2/(-452))/(3/(-6)). Let y = g + 213/1469. Which is the third smallest value? (a) -1/5 (b) y (c) f b Let j = -12.1 - -12.2. Let k be -1 - 1 - 48/(-22). Which is the smallest value? (a) j (b) k (c) 6 a Let f(c) = -3*c + 12. Let b be f(5). Let r = 6.3 + -1.3. What is the third biggest value in b, 0.2, r? b Let k = -4.7 + 2.7. Which is the smallest value? (a) 3 (b) 2/3 (c) k c Let w(i) = 8*i + 72. Let l be w(-9). Let s = 0 - 0.4. Which is the biggest value? (a) l (b) s (c) 4 c Let n = -25 - -24.9. What is the second smallest value in 0.2, 4/3, n? 0.2 Let n(q) be the first derivative of -q**3/3 - 3*q**2 - 10*q + 4. Let t be n(-4). Let l = 0.38 - 0.08. Which is the third biggest value? (a) 0.5 (b) l (c) t c Let r = -0.6 - -4.6. Which is the third smallest value? (a) r (b) 12 (c) 4/9 b Let i = 7.99 + -8. Let f = i - 0.39. Which is the smallest value? (a) -4 (b) 2 (c) f a Let p = -36 - -181/5. Let v = 2.1 - 3.8. Let n = v + 1.8. What is the smallest value in 2/9, p, n? n Suppose -z = -3*r - 19, 0 = -3*z - 0*r + 4*r + 32. Let f = 1 + z. What is the smallest value in f, 0, 1/3? 0 Let f be 1/(-4) + (-66)/120. Let u = -0.7 + 1.2. What is the smallest value in f, u, -4/7? f Let t = 45 - 48. Let h = 6 - 2. Let s = 0.8 - -4.2. What is the third biggest value in h, t, s? t Let k = -86.8 + 87. What is the third smallest value in -0.3, 3/5, k, 0.1? k Let w = 7.014 + -0.054. Let v = w - 7. Let i = v + -0.46. Which is the third smallest value? (a) -3/4 (b) -4 (c) i c Let z = 6 - 2. Let r be (z/3)/4*15. What is the third biggest value in r, 0, -2/7? -2/7 Let w = -1.2 - -6.2. What is the second biggest value in w, -1/7, -4? -1/7 Suppose 3*w - 10 = -f, 0 = -w - w + 4. Let t be ((-3)/(-27))/((-2)/f). Which is the third biggest value? (a) 0.5 (b) 1/3 (c) t c Let d(s) = -s**2 + s - 5. Let u be d(0). Let y be 14/(-10) + u + 6. What is the second biggest value in y, -2/11, 6/7? -2/11 Let p(o) = -3*o + 17. Let s be p(6). Let v = -15766/27 - -584. Which is the biggest value? (a) -2 (b) s (c) v c Let a = -1.28 + 0.08. Let n = a - 0.8. Let v = -1 + 1.1. What is the biggest value in v, n, 1/9? 1/9 Let q = 22 - 8. Let y be (-4)/q + 66/(-14). Let r be (2/y)/((-14)/(-10)). What is the second smallest value in 5, 0.3, r? 0.3 Let k be 1 + (4 - 2 - -7). Let y be (-4)/k - (-3)/20. Let o be 3/6 + 7/(-4). Which is the third smallest value? (a) o (b) y (c) -0.4 b Let l = -5.2 + 5. Which is the third smallest value? (a) 1 (b) l (c) 0.1 (d) 3 a Let g = -7.93 - -8. Let y = -0.53 - g. Let c = 0.2 + y. What is the smallest value in c, 0.5, -1/5? c Let j = 13 - -6. Suppose -j = 5*a + 1. What is the second smallest value in a, -0.02, 0.4? -0.02 Suppose 13*k - 16*k + 15 = 0. Which is the biggest value? (a) -1 (b) k (c) 0 b Let n = 17 - -13. Let f be 26/n - (-10)/(-15). Which is the third smallest value? (a) -1 (b) 0.1 (c) f c Let c(d) = -2*d**2 - 4*d. Let a be c(-3). Let b be 1/(7 - a/(-3)). What is the biggest value in 0.5, b, 3? 3 Let p = -0.06 - 1.94. Let t = 32 - 28. Let h be (-4)/(2/((-2)/(-9))). Which is the second biggest value? (a) p (b) t (c) h c Let k(f) = -7*f**3 - 2*f**2. Let d be k(-1). Let s = 11/10 - 8/5. What is the third smallest value in d, 1, s? d Let j = -1.7 + -18.3. Let r = j - -19.8. Which is the third biggest value? (a) -1/2 (b) r (c) 2 a Let j = 38016868891779/3724 + -10208611320. Let o = j + -2/931. Let z = -91 + o. Which is the third smallest value? (a) z (b) 2 (c) -2/7 b Let j = -6.7 + 7. Let i(x) = -x**3 - 3*x**2 + 4*x + 5. Let z be i(-4). Which is the biggest value? (a) z (b) j (c) -3 a Let d = -19 + 16. Which is the biggest value? (a) 1.1 (b) -1/4 (c) d a Let o = 0.08 + 0.02. What is the biggest value in -0.4, o, 5, -0.1? 5 Let m = -4.11 - -0.11. Let n = 6 + m. Let o = -6 + n. Which is the third biggest value? (a) o (b) 0.2 (c) 0.5 a Suppose 0 = -s - 3*s - 12, 0 = -4*m + 2*s + 2. Let k(u) = -35*u - 382. Let i be k(-11). Let d = 0.3 - 2.3. What is the third smallest value in m, d, i? i Let x = -1 + 1. Let u = -3.5 - 0.5. Let f be (-6)/(-24) + 2/56*-3. Which is the third biggest value? (a) u (b) x (c) f a Let h = 62.7 - 63. What is the second smallest value in h, -55, -2? -2 Let x = -35.3 + 97. Let s = x - 67. Let m = s + 0.3. Which is the smallest value? (a) m (b) -4 (c) 0.1 a Let z = 31/100 + -14/25. Let x = -1 + 0. What is the second biggest value in x, -3, z? x Let q = 0.2 - 0.5. Let w = -0.23 - q. Let t = -0.47 + w. What is the third biggest value in -2, t, 4? -2 Let z = -6.94 + 7. What is the fourth smallest value in 0, 2, -5, z? 2 Let y(i) = i**2 - i - 1. Let m be y(-1). Let j be m - 2/36*3. What is the smallest value in -0.5, 0.5, j? -0.5 Suppose -3*q - 4*y - 8 = -2*q, -5*q - 19 = -y. Let h = -7 - q. Which is the third biggest value? (a) 3 (b) h (c) 2 b Let x be -2 + 3/(-1) + 2. Suppose 7*p - 4*p + 12 = 0. What is the smallest value in -0.2, x, p? p Let w be 0 + 2 - (-5)/(-4). Let t = -857/3800 + 3/200. Let y = t + -7/57. What is the second smallest value in w, -5, y? y Let n be (128/288)/(2/9). Let g = 0.7 - -2.3. Which is the second biggest value? (a) -3 (b) n (c) g b Let h = 1.1 - 3.1. Let a = 0.8 + 0.2. Let t = a + -2. What is the third biggest value in t, 0, h? h Let f = 13661/30340 + -2/7585. Let s = -3/40 + f. Let y(z) = -3*z + 1. Let l be y(1). Which is the second smallest value? (a) s (b) l (c) 2/9 c Suppose -i + 0*i = -11. Suppose -u + 2*p = 5, -2*u = 3*u + 4*p + i. Let o be ((-15)/(-6) + u)*2. Which is the third smallest value? (a) -5 (b) 2/7 (c) o b Let f = 0.3 + -0.4. Let g = 0 - f. Let b be (-14)/(-10) + (-1 - 1). What is the third smallest value in 0.2, b, g? 0.2 Let u = -25 + 25.2. Let k = 7.3 - 7. Which is the third smallest value? (a) u (b) k (c) 5 c Let r = 251/4 + -63. Let v = -7.5 - -8. Which is the second biggest value? (a) 4 (b) v (c) r b Let g = 0.06 - -1.94. Let l = 12.8 + -13. Which is the smallest value? (a) l (b) g (c) 2/7 a Let g be 2 - (1 - (-33)/27). Suppose 5*b - 4*b = 0. Let d be ((-1)/2)/(1 - b). What is the third smallest value in d, -0.1, g? -0.1 Let u be -1 - -1 - 6/10. Let j be (-2)/(7/(-5) - -1). Suppose -3*w - j = 2*w. What is the second smallest value in w, -1/4, u? u Suppose 0 = x - 6*x. Let j = 4 + x. Which is the third biggest value? (a) -6 (b) 2/15 (c) j a Let y(u) = 72*u**3 + u**2 - 1. Let p be y(-1). Let j be (6/p)/((-2)/6). What is the biggest value in 0, 2/13, j? j Suppose -u = -2, -3 = 5*m - 4*u - 0. Which is the biggest value? (a) -1/2 (b) -24 (c) m c Let p = 13.3 - 12. Let k = p + 3.7. Which is the third smallest value? (a) -4 (b) k (c) 0 b Let x = 0.33 - 1.33. Which is the second smallest value? (a) -5 (b) x (c) 2 b Let t = 3.3 - 3. Let q = t - -0.1. What is the third biggest value in 1/4, q, -3? -3 Let f = -18/11 + 104/77. What is the second biggest value in -3, 2/19, -2, f? f Let s = -10 - -15. Let o be (-8 + 171/18)/((-9)/4). What is the biggest value in 1, o, s? s Let g = 5/391 - 997/16813. Let z = g - 48/817. Let x = 4 - 0. Which is the third biggest value? (a) z (b) 0 (c) x a Let n = -2.148 + 0.058. Let o = 17 + -17.09. Let z = n - o. What is the third smallest value in 0.4, 2/21, z? 0.4 Let i = 0.7 - 0.3. Let s = -0.02 - 0.58. Let r = -0.5 - s. What is the second biggest value in r, i, 0.2? 0.2 Let j = 0.08 + -2.08. Let p = 5.23 - 0.23. What is the third biggest value in j, p, -5? -5 Let z be 2/8 + (-55)/28. Let y = z + 2. Let f = 0.48 + -0.18. Which is the second smallest value? (a) -0.1 (b) y (c) f b
{ "pile_set_name": "DM Mathematics" }
(-3 - 3 + 7)*(2*p - 46 + 46) - p + 2*p + p. 4*p Expand (-o**3 - 3*o**3 + o**3)*(-3*o - o + 2*o) - o**4 + 0*o**4 - 6*o**4. -o**4 Expand (i - 2 + 2)*(3*i**2 - 7*i**2 - 40*i**2). -44*i**3 Expand 27*o**2 - 27*o**2 - 13*o**5 - 2*o**5 - 4*o + 4*o + (-2*o**5 - o + o)*(-2 + 1 + 2). -17*o**5 Expand d + d - 3 + 6 + 2*d**2 + (d - 5*d + 3*d)*(0 - d + 0). 3*d**2 + 2*d + 3 Expand (4*v + 3*v - 2*v + (2 - 1 - 2)*(2 - 2*v - 2) + v + 1 - 1)*(4*v**3 + 5*v**3 - 6*v**3). 24*v**4 Expand -1 + i**3 + 1 + (-4*i**2 - i**2 - i**2)*(0*i + 2*i - 5*i). 19*i**3 Expand (-3 - 7*a + 7*a + 2*a)*(4 - 2 - 4). -4*a + 6 Expand 1 + 2*s**4 - 1 + (-s**2 + s**3 + s**2)*(-s + s + s) + 0*s + s**4 + 0*s + 0*s**4 + 0*s**4 + s**4 + (3*s**2 + 2*s**2 - 4*s**2)*(-2*s**2 - 3*s**2 + 3*s**2). 3*s**4 Expand -7*y + 6*y + 10*y + (-y + 4*y - 5*y)*(3 - 2 - 3) + 2*y - 2*y + y + (0 + 4 - 2)*(1 + y - 1) + 2*y + 0 + 0. 18*y Expand (55 + 3 + 5)*(2 - 2 - 2*o**3). -126*o**3 Expand (-2*p - 2 + 2)*(2 + 0 - 1) - 4*p + 4*p + p + (-2 + 0 + 4)*(-1 + 2*p + 1) + 4*p - p - 4*p - 3 + 2*p + 3 - 2. 4*p - 2 Expand (0*h**4 + 1 + 1 - h**4)*((2 - 1 + 0)*(2 - 6 + 2) + 5 - 2 - 2). h**4 - 2 Expand (4 - 1 - 1)*(-34*r**2 + 2*r**2 - 14*r**2). -92*r**2 Expand ((0 + 0 - 1)*(4 - 4 + 4) + 0 + 2 - 4)*(-3*n - 3 + 3). 18*n Expand (-4*w**2 + 4*w**2 - 6*w**3)*(3*w + 5 - 5)*(1 - 6 + 4). 18*w**4 Expand (0*x - 4*x + x + (-2*x + 0*x + x)*(1 + 2 - 2))*(5 + 0 + 1)*(3*x**2 - 3*x**2 + x**4). -24*x**5 Expand -l**5 + 3*l**5 - l**5 + 0*l**5 + 2*l**5 - 3*l**5 + (2*l + l**2 - 2*l)*(0*l**3 + 2*l**3 + 0*l**3) - 15*l**5 + 150*l**3 - 150*l**3. -13*l**5 Expand (-r**2 + 0 + 0)*(-3 + 3 + 26*r**2) - 4*r**4 + 0*r**4 + 2*r**4. -28*r**4 Expand (j - 2*j - j)*(-15 + 15 + 6*j**2) + (-1 + 1 - j**2 + (0 + 2*j + 0)*(-1 - 2*j + 1) + 2*j**2 - j + j - 2*j + 2*j - 2*j**2)*(0*j + 2*j - 4*j). -2*j**3 Expand (0*k - k + 2*k)*(-2*k + 2*k + k) + (0 + 0 + 2)*(k + k - 3*k)*(0*k - k - 2*k). 7*k**2 Expand (0 + 2 - 1)*(-b**5 + 2*b**5 - 2*b**5 + (-11*b**3 - 6*b**3 + 2*b**3)*(-b**2 + 0*b**2 - b**2)). 29*b**5 Expand (2*o**2 + o**2 - 5*o**2)*(4*o - 11*o + 3*o + (0*o + 2*o + 0*o)*(1 + 2 - 2)). 4*o**3 Expand (-2*j + 2*j - j)*(-29*j**3 - 20*j**2 + 20*j**2). 29*j**4 Expand (-k + 0 + 0)*(-5 - 7 + 1). 11*k Expand -g**3 + 0*g + 0*g + (3*g + 3*g - 5*g)*(2*g**2 - 6*g**2 - g**2) - 3*g**3 - g + g. -9*g**3 Expand (-4 + 1 - 1)*(-3*y + 0*y + 0*y)*(-1 - y + 1). -12*y**2 Expand (-4*b + 13*b - 2*b)*(-2*b - 2*b - 2*b). -42*b**2 Expand (0*x**5 - x**5 + 0*x**5 + (-x**3 + x**3 - 2*x**4)*(x + 2*x - 2*x))*(6 - 24 - 15). 99*x**5 Expand (3 - 1 - 3)*(0 - 2 + 4)*(-2 + 0 + 4 + s) - 5 - 2*s + 5 + 4*s - 3*s - 3*s + (-1 + 2 + 0)*(0 + 0 + s) - 1 + 1 + 2*s. -3*s - 4 Expand (-3*j + 3*j - j - 1)*(-2 + 3 + 0)*(-9*j - 2*j - 6*j). 17*j**2 + 17*j Expand (-2*f + 2*f + 2*f + (1 + 0 + 1)*(0*f + 3*f - 2*f) + 3*f + 0*f - f + f + 0*f - 2*f)*(-4*f**4 + 0*f**4 + 3*f**4) - 4*f**5 + 4*f**5 - 6*f**5. -11*f**5 Expand (-5 + 3 + 4)*(1 + 0 + 1)*(1 - 1 - s)*(0 - 2 + 5). -12*s Expand 0*g**2 - 3*g**2 + 2*g**2 + (1 - 1 - 2)*(g**2 + 3*g**2 - 3*g**2) - g**2 + 0*g**2 + 0*g**2 + 2*g**2 - 3 + 3. -2*g**2 Expand (-9 - 6*b + 9)*(2*b**4 + 0*b**3 + 0*b**3) + 0*b**5 + 2*b**5 + b**5. -9*b**5 Expand (3 - 1 - 1)*(-3 - 11*b**4 + 3). -11*b**4 Expand (-2*n + 2*n - 2*n + (-1 + 1 - 2*n)*(0 - 1 + 2))*(16 - 7 + 10). -76*n Expand (0*y + 2*y - y + (0 + 1 + 1)*(-4*y + 2*y + 0*y) - 4 - y + 4)*(y - y + 6*y)*(y**2 + 3*y**2 - 2*y**2). -48*y**4 Expand (1 + 6 - 2)*(z + 3 - 3). 5*z Expand (-2 - 2*t + 2)*(-17*t**2 + t - 7 + 7). 34*t**3 - 2*t**2 Expand (2 - 2 + 7*k**4)*(k + k + 0*k). 14*k**5 Expand -l**5 + 1 - 1 + 2*l**5 - 5*l**5 + l**5 + (-4*l**5 + l**5 + 5*l**5)*(0 + 3 - 5). -7*l**5 Expand (77*z**2 + 2*z**5 + 1 + 1 + 0)*(2 - 1 - 3). -4*z**5 - 154*z**2 - 4 Expand (-3 + i**3 + 3)*(1 - 1 + i) + (17*i**3 + 38*i**3 + i**3)*(-4*i + i + i). -111*i**4 Expand -22*m**5 + 24*m**5 - 8 - 11 + 3*m**3 + 2*m**5 - 3*m**3 + 5*m**5 - 2*m**5 - m**5 + (0*m**3 - 2*m**3 + 0*m**3)*(-2*m**2 + 0 + 0). 10*m**5 - 19 Expand (1 - 6*n**2 - 16 + 8*n**2 + (-2*n + 2*n + 2*n**2)*(4 - 2 - 1) - 2 - n**2 + 2 + 4*n**2 - n**2 - 5*n**2)*(0 + n + 0). n**3 - 15*n Expand (-1 - 2 - 1)*(-2 + q + 2) - 3 + 3 - 2*q + 3 - 2*q - 3. -8*q Expand (-n - 3*n - n)*(1 + 2 - 5)*(0 + 2 - 1). 10*n Expand (2*p - p + p)*(16*p**4 - 135*p**4 + 29*p**4) - 3*p**5 - p**5 + 2*p**5. -182*p**5 Expand (-13*r + 10 - 10)*(-r**2 - 3*r**2 + 5*r**2) + (1 + 4 - 4)*(-2*r**3 + 5*r**3 - 2*r**3). -12*r**3 Expand -2 - 1 + 5 + 2*g + (-1 + 2 - 3)*(2*g - 2*g - g) + g - g + g - g + 2*g + 0*g. 6*g + 2 Expand (3*z + 12*z - 3*z)*(0*z + 5*z - z). 48*z**2 Expand (3*t**4 + 2*t**4 - 6*t**4 + (-2*t + 2*t - 2*t**2)*(2*t**2 + 0 + 0) + 4 - 4 - 2*t**4)*(1 + 1 - 1)*(1 + 1 + 1). -21*t**4 Expand (6 + 8 - 4)*(2 - 2 - 1)*(5*m**5 - 1 - 3*m**5 + 2 + 2*m). -20*m**5 - 20*m - 10 Expand (-b**2 + 4*b**2 - 2*b**2)*(b - b + 2*b**2) - 2*b + 18*b**4 + 0*b - 11*b**4. 9*b**4 - 2*b Expand (2*g - 2*g + 2*g)*(3 - 14 - 2*g + 12)*(0*g**2 + g**2 + g**2). -8*g**4 + 4*g**3 Expand (-3*m**4 + 2*m**4 + 2*m**4)*(-1 + 1 + 2*m) + m**4 - m**5 - m**4 - 7*m**4 - 3*m**5 + 7*m**4. -2*m**5 Expand (-3*g + g + 3*g)*(-g + 4*g - 4*g + (2 - 3 + 3)*(0*g - g + 0*g) + 10 - 10 + 4*g). g**2 Expand (-1 - 3 + 1)*(d - 2 + 2 + (d + 0*d + 3*d)*(0 - 1 + 3)). -27*d Expand (4*i**2 - 5*i**3 - 4*i**2)*(4*i + 7*i + 2*i). -65*i**4 Expand (0*t**3 - t**3 + 0*t**3)*(29 - 29 - 12*t)*(2*t + 0 + 0). 24*t**5 Expand 2*f**4 + 4*f**4 + f**2 - 33*f**3 + 36*f**3 + (5*f**3 - f**3 - 2*f**3)*(-5*f + f + 2*f). 2*f**4 + 3*f**3 + f**2 Expand (0*d - d**3 + 0*d)*(5*d + 2*d**2 - 5*d) - d + 4*d - 6*d**5 + 3*d**5. -5*d**5 + 3*d Expand (0*u**2 + u**2 - 2*u**2)*(-2 - 2*u + 0 + u). u**3 + 2*u**2 Expand ((1 - 2*z - 1)*(-1 - 4 + 4) - 17 + 17 - 12*z)*(-2*z**2 + 5*z**2 - 4*z**2). 10*z**3 Expand (0 + 3 - 5)*(4 - 11 - 6)*(-u + u + 2*u). 52*u Expand (-4*l - 2*l + 4*l)*(0 - 2 + 0) + (-4 + 4 + 3*l)*(0 + 1 - 2). l Expand (0*k + 2*k - 4*k)*(3*k**3 + 0*k**3 - 5*k**3) + (-2 + 2 + k)*(0*k**2 + 0*k**2 + 2*k**3) + (0*k + 0*k - k)*(-2*k**3 + k**3 + 0*k**3). 7*k**4 Expand 7*y**4 - 40*y + 40*y + (2*y + 3*y - 4*y)*(2*y**3 + 4*y**3 - 3*y**3). 10*y**4 Expand (-137*d - 15 + 271*d - 136*d)*(-d - 2*d + 0*d). 6*d**2 + 45*d Expand 4*c + 4*c + 9*c + (-1 - 2 + 2)*(0 + 0 + 2*c) + 7*c + 0 + 0 + (5 - 3 + 0)*(2*c - 4 + 4). 26*c Expand -6*q + q + 3*q - 1 - 2*q + 1 + 2*q - q + q + (-1 + 4 - 2)*(2 + q - 2) + 2*q + 2*q + 3*q + 2. 6*q + 2 Expand (1 - 6 + 3)*(7*r + 12*r**2 - 7*r). -24*r**2 Expand (0*t - t - t)*(1 - 1 + 2) + (3 - 3 + t)*((-1 + 2 - 2)*(0 - 3 + 1) - 11 - 7 + 7). -13*t Expand -3*t**2 + 2*t**2 + 2*t**2 + (2*t + 1 - 1)*(-6 + 6 - 5*t)*(5 + 2 - 5). -19*t**2 Expand (-8*x + 2*x - 4 + 2)*(0 + 0 + 4*x). -24*x**2 - 8*x Expand -29*b**4 + 44*b - 44*b + 7*b**4 - 3*b**4 - 3*b**4 + (-2*b + 0*b + 0*b)*(4*b**3 + 2*b**3 - 5*b**3) + 3*b**4 + 0*b**4 - b**4. -28*b**4 Expand -u**3 + 3*u**3 - 3*u**3 + (-u**2 + u**2 + u**2)*(3*u - 3*u + u) + 10*u**3 + 0*u**3 + 5*u**3 + 3*u**3 + 0*u**3 - 4*u**3. 14*u**3 Expand (7 - 2 + 4)*(-4*s + 2*s + s)*(-3*s + 0 + 0). 27*s**2 Expand (-2*b**2 + b**2 + 3*b**2)*(2 - b - 2) - 2*b + 2*b - b**3 + 4*b**3 + b**3 - 3*b**3 + (-4*b + 0*b - b)*(-4*b**2 + 3*b**2 + 2*b**2). -6*b**3 Expand 1 - 1 - 2*k + 0 - 2*k + 0 + 0*k + 5*k - 4*k + (-k + 0 + 0)*(-2 + 0 + 4) + 0 + k + 0 + 2*k + 2*k - 6*k + 3*k - k + 0*k - 2*k + k - 3 + 2*k. -3*k - 3 Expand (0*y**2 - 5*y**2 + 2 - 1)*(0*y**2 - 3*y**2 + 2*y**2). 5*y**4 - y**2 Expand (3*q**2 + 3*q**2 - 7*q**2)*(150 - 150 + 50*q). -50*q**3 Expand (0 - 3 + 1)*(6*o**2 - 3*o**3 - 6*o**2) + o**3 - o**3 - o**3. 5*o**3 Expand (2*m**2 + 1 - 1)*(4*m**2 - 3*m**2 - 15*m**2)*(-m + 2*m - 2*m) + 2*m**4 - 2*m**4 + 2*m**5. 30*m**5 Expand (2*l**2 - l**2 + l**2)*(13*l + 82 - 82). 26*l**3 Expand 0*q**5 - q**3 + 0*q**5 - 4*q**5 + (-2*q**4 + 3*q**4 + q**4)*(q + 3*q + q). 6*q**5 - q**3 Expand 4 - 4 + 4*f**2 + (-3*f + 3*f + f)*(-4 + 4 + 4*f). 8*f**2 Expand (0*g**3 + g**3 - 3*g**3)*(0 + 2*g + 0)*(9 + 4 - 4). -36*g**4 Expand (2 - 2 + 2*o)*((2 - 4 + 3)*(6 + 0 - 4) + 2 + 0 + 2) - 1 - o + 1. 11*o Expand (-3 + 3 + 2)*(-37 - 58 - 9)*(2*p + 2*p - 2*p)*(1 + 4 - 6). 416*p Expand (-4 + 4 - 2*x)*(1 + x - 1)*(1 - 1 - 2*x**2). 4*x**4 Expand (-1 + 3 + 0)*(9*n + 3*n + n) + 2*n + 2*n - 2*n. 28*n Expand ((3 - 3 - 2*r**3)*(-r - r + 4*r) + r**4 - r + r)*(0*r - 2*r + 3*r). -3*r**5 Expand (
{ "pile_set_name": "DM Mathematics" }
9, -53, 21 in decreasing order. 21, -53, -459 Sort 1, -5, -27, -5/7, 2/3, -2/15 in decreasing order. 1, 2/3, -2/15, -5/7, -5, -27 Sort -3, 4, 1997, 3, -6. -6, -3, 3, 4, 1997 Sort 5791, 0, 1, -10. -10, 0, 1, 5791 Sort -3, 2, -13, -0.1, -1, 0 in increasing order. -13, -3, -1, -0.1, 0, 2 Put 57, -144, 43, 1/4 in decreasing order. 57, 43, 1/4, -144 Sort -4, -3, 2, -44, 1 in increasing order. -44, -4, -3, 1, 2 Put -630, 9/5, 28, 3/2 in increasing order. -630, 3/2, 9/5, 28 Put -12, 4, -1257, 7 in increasing order. -1257, -12, 4, 7 Sort 5, 0.4, -5, -4, -837, -0.7. -837, -5, -4, -0.7, 0.4, 5 Sort -1/5, 2/11, -1, 3/1096 in decreasing order. 2/11, 3/1096, -1/5, -1 Sort -9, 14, -5, -3, 1. -9, -5, -3, 1, 14 Put 8, -1144, -2, 3, -5 in decreasing order. 8, 3, -2, -5, -1144 Put -1411, 3, 17 in decreasing order. 17, 3, -1411 Put -5, -0.2, -50, -2/317 in decreasing order. -2/317, -0.2, -5, -50 Sort -3, 6, 1, -2172. -2172, -3, 1, 6 Sort 6, 1133, 50. 6, 50, 1133 Put 14.3, -0.02, -0.2 in ascending order. -0.2, -0.02, 14.3 Put 1, 0, 895 in decreasing order. 895, 1, 0 Put 6, 3, 1, 60, -2, 26 in increasing order. -2, 1, 3, 6, 26, 60 Sort -1, -0.1, -3, 1628, -2/37 in increasing order. -3, -1, -0.1, -2/37, 1628 Sort -2, 444, 66 in decreasing order. 444, 66, -2 Sort 0, -0.43, -9, -5/4, 4. -9, -5/4, -0.43, 0, 4 Sort 240, -5, 376 in increasing order. -5, 240, 376 Sort -457, 4, 5, -5, -3, 11. -457, -5, -3, 4, 5, 11 Sort -0.09, -3, -0.3, 31/4, -5 in decreasing order. 31/4, -0.09, -0.3, -3, -5 Sort 1, 93, -174. -174, 1, 93 Sort 5, -58, 115, 2, -7 in ascending order. -58, -7, 2, 5, 115 Sort -4, 5, -1/36, 1, 0.1, -0.4 in increasing order. -4, -0.4, -1/36, 0.1, 1, 5 Put -1/8, 4, 19907/21 in ascending order. -1/8, 4, 19907/21 Sort -17.35, 1.8, 2/7 in descending order. 1.8, 2/7, -17.35 Put 2/9, 0.2298, -1, -4, -0.036, 2 in decreasing order. 2, 0.2298, 2/9, -0.036, -1, -4 Put -1, 42, -17, 0, 3 in descending order. 42, 3, 0, -1, -17 Sort -4, 3, 0, -37, -5 in decreasing order. 3, 0, -4, -5, -37 Sort -3, 4, -20/9, -5/3. -3, -20/9, -5/3, 4 Put 10, 1, -9, -4 in ascending order. -9, -4, 1, 10 Sort -2, -2/11, -3635, 1/3, -3. -3635, -3, -2, -2/11, 1/3 Put -20, -2, -6, 70, 0, -3 in decreasing order. 70, 0, -2, -3, -6, -20 Sort -107, 9, -12, -3 in decreasing order. 9, -3, -12, -107 Put -225, -3, 3, -1, 0 in ascending order. -225, -3, -1, 0, 3 Put 2, -190, 31, -4 in descending order. 31, 2, -4, -190 Put -714, -4, 0.6 in increasing order. -714, -4, 0.6 Sort 3, 98472, 1. 1, 3, 98472 Sort -2, 1592/3, 4/5 in descending order. 1592/3, 4/5, -2 Sort 0, 219, -3, 141 in ascending order. -3, 0, 141, 219 Sort 14/15, -2/41, 5, 1 in decreasing order. 5, 1, 14/15, -2/41 Sort -14, -1, 2, 2757. -14, -1, 2, 2757 Put -1.764, 3, 33 in increasing order. -1.764, 3, 33 Sort -12, -24, 6, -4, 4 in descending order. 6, 4, -4, -12, -24 Sort -46, -3, -5, -6, -71, 7. -71, -46, -6, -5, -3, 7 Put 4/31, 0.249, -4, -0.3 in decreasing order. 0.249, 4/31, -0.3, -4 Sort 0.4, -27, 223 in increasing order. -27, 0.4, 223 Sort 4, 6, 1161, 5 in descending order. 1161, 6, 5, 4 Sort -6, -1, 20, -36, 0, 3 in descending order. 20, 3, 0, -1, -6, -36 Put -6, -13/53, 521 in ascending order. -6, -13/53, 521 Sort -1/6, -1, -125. -125, -1, -1/6 Sort 35, 9, -3, 52, -5 in decreasing order. 52, 35, 9, -3, -5 Sort -0.5, -3, -1184 in descending order. -0.5, -3, -1184 Sort 2, -72, 9, -359, -5 in ascending order. -359, -72, -5, 2, 9 Put 1/8, -4, 1, 118, 1/7, 1/33 in descending order. 118, 1, 1/7, 1/8, 1/33, -4 Put -139, -2, 75, -1 in ascending order. -139, -2, -1, 75 Put 3, -28, -0.01, 2/13, -1 in ascending order. -28, -1, -0.01, 2/13, 3 Put -2, -0.4, 4, 10, -0.013, 0.05 in decreasing order. 10, 4, 0.05, -0.013, -0.4, -2 Sort -1/2, -3/16, -2/15, 72 in ascending order. -1/2, -3/16, -2/15, 72 Sort 4, 1658, 0. 0, 4, 1658 Sort 6326, -76, -4 in ascending order. -76, -4, 6326 Put -9, -33, 3, -2, 122 in descending order. 122, 3, -2, -9, -33 Put -2, -5, -1, 4, -3, -778 in decreasing order. 4, -1, -2, -3, -5, -778 Put -17, -1, -5, 10, 14, -2 in descending order. 14, 10, -1, -2, -5, -17 Sort 28, -93, 2, -1, 5 in ascending order. -93, -1, 2, 5, 28 Sort -12, -2/5, -13163 in decreasing order. -2/5, -12, -13163 Sort -138, 42, -1, 1, -4. -138, -4, -1, 1, 42 Put 1, -44, 4, 5, -20, -1 in descending order. 5, 4, 1, -1, -20, -44 Put -3, 1/3, -2/7, 241.5 in ascending order. -3, -2/7, 1/3, 241.5 Put -6, 367, 2, -1/4, -1/2 in ascending order. -6, -1/2, -1/4, 2, 367 Sort 2/25, -57.1, -3, -1, 0.2, 5. -57.1, -3, -1, 2/25, 0.2, 5 Sort -32, -1, 178. -32, -1, 178 Sort -5, -132, 200 in decreasing order. 200, -5, -132 Sort 216, -3, -4, -2 in ascending order. -4, -3, -2, 216 Sort -3, -14, 7, 33 in descending order. 33, 7, -3, -14 Sort -601, -4, 3, 0, -3 in decreasing order. 3, 0, -3, -4, -601 Sort 135, 1, 89 in descending order. 135, 89, 1 Put 2/5, -1, 0.1, 1188 in increasing order. -1, 0.1, 2/5, 1188 Put -3, -5359, 16 in increasing order. -5359, -3, 16 Put -3, 7, -4, 667 in decreasing order. 667, 7, -3, -4 Put -2, 64, -1810 in descending order. 64, -2, -1810 Put -2/3, -1/7, -12/325, 1 in ascending order. -2/3, -1/7, -12/325, 1 Put -188, -1, 0.3, 0.5, 9/11, 0 in decreasing order. 9/11, 0.5, 0.3, 0, -1, -188 Put 0.3, -3/8, -15.4, -0.2, 5/2 in ascending order. -15.4, -3/8, -0.2, 0.3, 5/2 Sort -1/11, -5, -7895. -7895, -5, -1/11 Sort 14, 749, -12, 5 in descending order. 749, 14, 5, -12 Put -3, 2433, 11 in increasing order. -3, 11, 2433 Put 120, 49, -5, -2 in decreasing order. 120, 49, -2, -5 Put -4, -3, 5, -30, 0, -67 in ascending order. -67, -30, -4, -3, 0, 5 Sort -1/3, 4, 1, -0.02, -412, 2 in increasing order. -412, -1/3, -0.02, 1, 2, 4 Put -381, -4, 24 in decreasing order. 24, -4, -381 Put 30, 11477, -1/4 in descending order. 11477, 30, -1/4 Sort -53, 2, -2, 1641 in descending order. 1641, 2, -2, -53 Put 8, 75, 2/13, -0.4, 0, 0.1 in descending order. 75, 8, 2/13, 0.1, 0, -0.4 Sort 2, -1, -30319, 3, 4, 1 in decreasing order. 4, 3, 2, 1, -1, -30319 Put 93/5, -9, -135 in increasing order. -135, -9, 93/5 Put -5/103, -2/9, -0.4 in increasing order. -0.4, -2/9, -5/103 Put 55, 17, -4, -15, 2 in decreasing order. 55, 17, 2, -4, -15 Sort 550, -9, 11, 2. -9, 2, 11, 550 Put -0.2, 0.9, 19.7, -0.01, 1 in ascending order. -0.2, -0.01, 0.9, 1, 19.7 Sort -2913, -6, -0.077 in ascending order. -2913, -6, -0.077 Put -232.2, -0.08, -1/4, 2/3, -2 in descending order. 2/3, -0.08, -1/4, -2, -232.2 Sort 11, 4, 8, -113. -113, 4, 8, 11 Put -1/5, 0.1, 7, 9, 8, 5 in ascending order. -1/5, 0.1, 5, 7, 8, 9 Sort -1, 7, -3, 22, 0. -3, -1, 0, 7, 22 Sort -34, -2/7, 6/205, 2/25, 10, 3. -34, -2/7, 6/205, 2/25, 3, 10 Sort -5, -9584, 3 in increasing order. -9584, -5, 3 Sort -7, -62, 5, 145 in decreasing order. 145, 5, -7, -62 Put 5, 24, -8, 1, 313 in increasing order. -8, 1, 5, 24, 313 Sort 1, 318, -5, -28 in increasing order. -28, -5, 1, 318 Sort -4, 2, 1.7, 2/7, 196 in ascending order. -4, 2/7, 1.7, 2, 196 Put -0.04, -43, -3/5, 0.02, -1/3 in descending order. 0.02, -0.04, -1/3, -3/5, -43 Put 0.71, -12, -2/19, 0.1, -0.3, 7 in decreasing order. 7, 0.71, 0.1, -2/19, -0.3, -12 Put -447, 1.69, 0.11 in decreasing order. 1.69, 0.11, -447 Sort -355, 3, 5, 1. -355, 1, 3, 5 Put -7, -6, 28, 5, -2, 16 in descending order. 28, 16, 5, -2, -6, -7 Sort 5, 4, 20, -2, -5 in descending order. 20, 5, 4, -2, -5 Sort 0.22, 10, -28/3. -28/3, 0.22, 10 Put -2, 4, 71, 5, 24 in decreasing order. 71, 24, 5, 4, -2 Put -2, -1269, -1, -4, -8 in ascending order. -1269, -8, -4, -2, -1 Put -7, 1, -335, 37 in descending order. 37, 1, -7, -335 Sort -24.7, 2, -1, -9 in descending order. 2, -1, -9, -24.7 Put -737, -3, -1277 in decreasing order. -3, -737, -1277 Sort 8, -5, 210688 in decreasing order. 210688, 8, -5 Sort 2/5, -5, 3, 209.4, -1/5. -5, -1/5, 2/5, 3, 209.4 Put 5, 15, -1, 39, 2, 1 in ascending order. -1, 1, 2, 5, 15, 39 Sort -2, -14, 2, 0, 67, -5 in decreasing order. 67, 2, 0, -2, -5, -14 Sort -110, 248, -5 in descending order. 248, -5, -110 Put 3, 2, -4, 5, -2, 1497 in ascending order. -4, -2, 2, 3, 5, 1497 Sort -0.1, 1, 444, -410 in increasing order. -410, -0.1, 1, 444 Sort -9921, 42, -1 in increasing order. -9921, -1, 42 Put 5, 1, 3, 6845, -2 in descending order. 6845, 5, 3, 1, -2 Put -2, -1/7, -9, 28, -1 in descending order. 28, -1/
{ "pile_set_name": "DM Mathematics" }
o letters picked without replacement from ffarafraaaaaiaff? 2/15 What is prob of picking 2 o and 2 r when four letters picked without replacement from ooooooooooorooorror? 105/646 Calculate prob of picking 1 v and 2 j when three letters picked without replacement from {j: 2, w: 1, u: 2, b: 2, v: 1, i: 1}. 1/84 What is prob of picking 1 c and 1 p when two letters picked without replacement from vpvvvvvvpdvvzvcvvvpv? 3/190 What is prob of picking 2 x when two letters picked without replacement from ellxx? 1/10 Calculate prob of picking 2 m when two letters picked without replacement from mmxom. 3/10 Two letters picked without replacement from {w: 2, e: 4, j: 2, c: 2, k: 4, p: 1}. What is prob of picking 1 w and 1 k? 8/105 What is prob of picking 4 e when four letters picked without replacement from {j: 7, e: 7}? 5/143 Two letters picked without replacement from {e: 2, s: 1, l: 1, o: 2, d: 1, x: 1}. Give prob of picking 1 l and 1 e. 1/14 What is prob of picking 1 g and 1 o when two letters picked without replacement from fgmfog? 2/15 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {b: 6, n: 1, j: 4, o: 2, k: 3, w: 4}. 4/95 Three letters picked without replacement from {y: 1, h: 5, g: 7}. What is prob of picking 1 g and 2 h? 35/143 What is prob of picking 1 v and 1 p when two letters picked without replacement from {b: 1, v: 2, p: 1, z: 3}? 2/21 Four letters picked without replacement from {v: 3, m: 2, n: 1, o: 1, f: 4}. What is prob of picking 1 n and 3 m? 0 Two letters picked without replacement from rlorbbrrlzrlrrrzr. What is prob of picking 1 l and 1 b? 3/68 What is prob of picking 3 l when three letters picked without replacement from {l: 3, a: 4}? 1/35 Two letters picked without replacement from {d: 1, i: 1, e: 1, n: 1, c: 1, h: 2}. What is prob of picking 1 c and 1 d? 1/21 What is prob of picking 3 n and 1 p when four letters picked without replacement from appanapanpn? 2/165 Two letters picked without replacement from {k: 5, m: 2}. Give prob of picking 2 k. 10/21 Calculate prob of picking 3 b and 1 q when four letters picked without replacement from {q: 7, b: 6}. 28/143 What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 2, t: 1, a: 7}? 2/45 Two letters picked without replacement from {a: 1, e: 2, l: 3, o: 3, t: 1, n: 8}. What is prob of picking 2 l? 1/51 Four letters picked without replacement from grrggggrggggrrgg. What is prob of picking 4 g? 33/182 What is prob of picking 2 y and 1 d when three letters picked without replacement from {y: 3, d: 1, w: 1}? 3/10 Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {e: 7, t: 8, r: 2, l: 1}. 56/153 What is prob of picking 4 f when four letters picked without replacement from {x: 1, f: 7, n: 12}? 7/969 Four letters picked without replacement from oxuxoxou. Give prob of picking 2 x and 2 u. 3/70 Calculate prob of picking 1 z and 2 o when three letters picked without replacement from zzzzozzzozzzz. 1/26 Four letters picked without replacement from luluuu. What is prob of picking 4 u? 1/15 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from nxnnixiirnninxr. 8/105 Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, t: 3}. 1/20 Calculate prob of picking 3 c when three letters picked without replacement from vacxiviivcxcxvvva. 1/680 What is prob of picking 4 l when four letters picked without replacement from {f: 1, l: 7}? 1/2 Three letters picked without replacement from {d: 5, p: 2, j: 2}. What is prob of picking 1 j and 2 p? 1/42 What is prob of picking 1 e and 1 p when two letters picked without replacement from pexpex? 4/15 Two letters picked without replacement from {f: 3, i: 13}. Give prob of picking 1 i and 1 f. 13/40 Four letters picked without replacement from {f: 2, u: 8, s: 3, k: 3}. What is prob of picking 3 k and 1 f? 1/910 Three letters picked without replacement from {w: 9, n: 3}. What is prob of picking 1 w and 2 n? 27/220 Four letters picked without replacement from dnndnnnnnnnnnnnd. What is prob of picking 1 d and 3 n? 33/70 Calculate prob of picking 1 o and 2 m when three letters picked without replacement from myymyyyyyommm. 5/143 Calculate prob of picking 4 n when four letters picked without replacement from {n: 13, e: 3}. 11/28 Three letters picked without replacement from oowonnnonwonnfqooo. Give prob of picking 1 n, 1 o, and 1 w. 2/17 Calculate prob of picking 1 e, 1 y, and 1 c when three letters picked without replacement from {c: 5, q: 3, e: 1, y: 3, s: 2, t: 1}. 3/91 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from nnaenaa. 1/7 Two letters picked without replacement from kkkkkkkkkkkkkkaaxkka. Give prob of picking 1 x and 1 a. 3/190 What is prob of picking 3 o when three letters picked without replacement from ooooyoyoo? 5/12 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from afbffbbabab. 9/55 Calculate prob of picking 2 w when two letters picked without replacement from wvwvvwvvvw. 2/15 Two letters picked without replacement from {j: 3, l: 5, m: 3, s: 3, t: 1}. What is prob of picking 1 j and 1 t? 1/35 Four letters picked without replacement from mmqpmmmmpqqpp. Give prob of picking 1 m, 1 p, and 2 q. 72/715 Three letters picked without replacement from {y: 3, q: 3, h: 1, a: 5}. What is prob of picking 2 a and 1 y? 3/22 What is prob of picking 1 w, 1 s, and 1 j when three letters picked without replacement from jsxwvxwyjwj? 3/55 Calculate prob of picking 2 h when two letters picked without replacement from xxhh. 1/6 Four letters picked without replacement from eeaaaeateat. What is prob of picking 1 a and 3 e? 2/33 What is prob of picking 2 n when two letters picked without replacement from {q: 1, h: 1, s: 1, n: 3, b: 1}? 1/7 Calculate prob of picking 3 e when three letters picked without replacement from ejeeeejejeejejjjjjjj. 7/95 Calculate prob of picking 2 l and 2 f when four letters picked without replacement from {z: 3, l: 5, f: 4}. 4/33 Four letters picked without replacement from {y: 3, n: 2}. Give prob of picking 2 n and 2 y. 3/5 Three letters picked without replacement from {g: 5, w: 7}. Give prob of picking 3 w. 7/44 What is prob of picking 1 v and 3 y when four letters picked without replacement from yvyyyyyv? 4/7 Calculate prob of picking 1 l and 2 p when three letters picked without replacement from zppllslppszllpxs. 5/56 Three letters picked without replacement from dgdsngvqnnsg. Give prob of picking 1 s, 1 n, and 1 q. 3/110 Three letters picked without replacement from {c: 5, s: 4, q: 1, d: 4, p: 2}. What is prob of picking 1 c, 1 s, and 1 q? 1/28 Calculate prob of picking 2 d when two letters picked without replacement from aaaadafdajfaa. 1/78 Two letters picked without replacement from {a: 4, j: 2, f: 1, u: 2, b: 7}. Give prob of picking 1 b and 1 u. 7/60 Two letters picked without replacement from {a: 11, c: 9}. What is prob of picking 1 c and 1 a? 99/190 What is prob of picking 1 m, 2 l, and 1 f when four letters picked without replacement from {l: 2, r: 1, f: 1, m: 2, v: 1, g: 1}? 1/35 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from riiiimjjoijjij. 1/91 What is prob of picking 1 i and 2 k when three letters picked without replacement from kkimiimikikki? 30/143 Four letters picked without replacement from {y: 2, p: 6, f: 1, t: 1, s: 3}. Give prob of picking 1 y and 3 p. 8/143 Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {y: 5, c: 2, v: 3, h: 5, d: 1}. 1/60 What is prob of picking 2 a and 2 h when four letters picked without replacement from {d: 2, a: 3, h: 3}? 9/70 What is prob of picking 3 i when three letters picked without replacement from {i: 6, x: 5, d: 3, y: 2, w: 1}? 1/34 Calculate prob of picking 2 g when two letters picked without replacement from gjgjjjggjggj. 5/22 Two letters picked without replacement from nnxog. Give prob of picking 1 g and 1 o. 1/10 Calculate prob of picking 3 g and 1 i when four letters picked without replacement from iaargaiiggiii. 6/715 Three letters picked without replacement from {k:
{ "pile_set_name": "DM Mathematics" }
ive. z**(1223/198) Simplify (t/((t*t*t**19)/t*t))/t**(-12) assuming t is positive. t**(-8) Simplify (g**(6/11))**42 assuming g is positive. g**(252/11) Simplify t**(-3)/t*t/t**(4/11)*(t/t**(4/9)*t)/t**(5/4) assuming t is positive. t**(-1211/396) Simplify r/((r*r**(5/8))/r)*r/r**(-5) assuming r is positive. r**(51/8) Simplify (z**(-1)*z)**(3/13)/(z*z*z**(1/2)/z*z)**22 assuming z is positive. z**(-55) Simplify (p*p*p**(-1))**(2/15)*((p/p**0)/p)**(-4/31) assuming p is positive. p**(2/15) Simplify (c/((c/c**(-1/21))/c))/c*c*c/c**(1/6) assuming c is positive. c**(25/14) Simplify ((z*z**(-2/5)*z)/z)/(z/(z*z**(-3/5)))*(z*z**(1/6))/(z*z/(z/z**(-1/4))*z*z) assuming z is positive. z**(-19/12) Simplify (a*a*(a*a*((a**(-5)/a)/a)/a*a*a)/a*a**(-1/3))**(-19) assuming a is positive. a**(190/3) Simplify (k/k**(1/9)*k/(k**5/k*k*k))/(k/(k**(-1/2)/k)*k)**(-6/13) assuming k is positive. k**(-292/117) Simplify l*l/l**(-1/4)*l*l**(2/3) assuming l is positive. l**(47/12) Simplify (m/((m**(-17)/m)/m))/(m**(11/5)/m) assuming m is positive. m**(94/5) Simplify (h**(-10)*h/h**(-7/3)*h)/(h/(h/h**(-2/3)))**(-2) assuming h is positive. h**(-7) Simplify w**(-2/3)/w**(-3/2)*w**(-5/2)*w*w*w**7*w assuming w is positive. w**(25/3) Simplify (b/(b/b**(2/23)))**(-15) assuming b is positive. b**(-30/23) Simplify y/(y*y*y**(2/59)/y)*y*(y**(-12/5)/y*y)/y*y assuming y is positive. y**(-423/295) Simplify (b*b/((b/(b/b**1))/b))/b*b*b**0/b*(b**0*b)**(-34) assuming b is positive. b**(-33) Simplify o/(o/o**(-1))*o*o*o*o**22 assuming o is positive. o**24 Simplify (o*o/(o*o/((o**(-2/7)*o)/o))*o*o)**(-3/37)*o**(-2)*o*o**(1/7)*o assuming o is positive. o**(1/259) Simplify (p/p**(-2/3))/(p/(p*p**(-3/4)/p))*(p/(p*p*(p**(-3)/p)/p*p))**(23/4) assuming p is positive. p**(103/6) Simplify (f**0)**(-1/12)/(f/f**(2/7))**(-1) assuming f is positive. f**(5/7) Simplify (g*g**(-5/19)*g)**(-4/7) assuming g is positive. g**(-132/133) Simplify (t**(-4)/(t**4*t))/(t**(-1/3))**(-31) assuming t is positive. t**(-58/3) Simplify (u**(-1)/u*u)**(1/31)*(u**(-1/2))**(-12/7) assuming u is positive. u**(179/217) Simplify m**(-3/4)/((m*m**(-2)/m)/m)*m/(m/m**(2/5))*m**(-5) assuming m is positive. m**(-47/20) Simplify k**(-1)/k**(2/67) assuming k is positive. k**(-69/67) Simplify (c*c/(c**(-1/23)*c))**21 assuming c is positive. c**(504/23) Simplify (k/k**(-1))**(-12/5)*(((k**(1/8)*k)/k)/k)/(k*k**(-1)) assuming k is positive. k**(-227/40) Simplify i**(-3/13)*i*i**(-7/3)*i assuming i is positive. i**(-22/39) Simplify (p**(2/33)*p*p*p*p)**(-1/54) assuming p is positive. p**(-67/891) Simplify ((o/o**(4/9))/o)/(o**5/o) assuming o is positive. o**(-40/9) Simplify w**(-10)*w**(-1)/w assuming w is positive. w**(-12) Simplify (t/((t/((t/(t/(t/(t**(10/7)/t))))/t))/t))/t**18 assuming t is positive. t**(-122/7) Simplify (s/(s*s*s/(s*s*(s*s**17)/s*s*s)))/s*s/s**5 assuming s is positive. s**14 Simplify (t/(((t/(t/(t/(t/t**(-3))*t)*t))/t)/t*t*t))/(t/(t**(-5)*t))*(t**(2/7)*t)**(1/24) assuming t is positive. t**(-53/56) Simplify i**(2/7)*i*i*i**(-10) assuming i is positive. i**(-54/7) Simplify x*x/(x/x**16)*x**(4/7)*x*x assuming x is positive. x**(137/7) Simplify (((q*q**15)/q)/q)/q*q**(-2/61) assuming q is positive. q**(791/61) Simplify ((c**1)**(-31))**(2/9) assuming c is positive. c**(-62/9) Simplify (j*j/((j**(2/15)*j)/j*j))**(-2/77) assuming j is positive. j**(-26/1155) Simplify (z/z**(-1/2))**28 assuming z is positive. z**42 Simplify v**(-3)*v*v**5*((v*v**6/v)/v*v)/(v/(v/(v/(v**(-1)/v)))) assuming v is positive. v**6 Simplify ((v*v*((v**(2/15)/v)/v)/v)/v)/v*v*v*v**(-23)*v assuming v is positive. v**(-343/15) Simplify (j**4*j**0)**(-41) assuming j is positive. j**(-164) Simplify (n/(n*n*n**3))**(-23/5)*n**1*n*n**11 assuming n is positive. n**(157/5) Simplify h**10*(h*h**(-14))/h assuming h is positive. h**(-4) Simplify (((g/(g*(((g*g*(g*g**(-10/11))/g*g)/g)/g)/g))/g)/g)/(g*((g**(-1/11)/g)/g)/g) assuming g is positive. g Simplify ((y/(y*y/(y/(y**(-14)*y))))/(((y*y**(-2/9))/y)/y))**34 assuming y is positive. y**(4352/9) Simplify ((p**(1/4)*p)/p**(-2/3))**(3/4) assuming p is positive. p**(23/16) Simplify ((((z**(-1/4)*z)/z)/z)/z*z*z**(2/23)*z)**(10/3) assuming z is positive. z**(-25/46) Simplify ((b**(-3/2))**(-1/7))**(-18/7) assuming b is positive. b**(-27/49) Simplify ((r*r*r/(r/r**(-8)))/((r*r**2)/r*r))**(-20) assuming r is positive. r**180 Simplify (n/(n*n**(-4)/n)*n**(-1))/(n*(n**(-2/9)*n)/n*n*n/(n/(n/n**2))*n) assuming n is positive. n**(20/9) Simplify (p/(p*p/(p/p**(3/7)))*p*p/(p/(p/(p/(p*p*p**2))))*p)/(p/(p**(2/5)*p)*p**(-1/7)/p) assuming p is positive. p**(249/35) Simplify (x**(-1)*x**2)**(-33) assuming x is positive. x**(-33) Simplify (f/(f**(-6)/f*f)*f*f**(-14/5))**(-12) assuming f is positive. f**(-312/5) Simplify n**(-2/3)/n**24 assuming n is positive. n**(-74/3) Simplify (c*c**(-25)/c*c)/(c/(c*c**26*c)) assuming c is positive. c**3 Simplify (l*l**(-34))/l**(-8) assuming l is positive. l**(-25) Simplify (v**(-10)/v**13)**(-2/21) assuming v is positive. v**(46/21) Simplify v**(-11)*v**(-13)/v assuming v is positive. v**(-25) Simplify (l**(-2/79))**(-18) assuming l is positive. l**(36/79) Simplify (r**5/r**(-1/4))/(r*r*r**1/r*r*r**(1/3)) assuming r is positive. r**(23/12) Simplify (o**4)**(1/12) assuming o is positive. o**(1/3) Simplify (w/(w/(w**2/w*w)))/w**(5/2) assuming w is positive. 1/sqrt(w) Simplify p/p**(1/8)*p*p**14 assuming p is positive. p**(127/8) Simplify (t**3)**(-14) assuming t is positive. t**(-42) Simplify (n/(n**(6/7)/n)*n)/(n/n**4)*(n*((n/(n*n**(-2)))/n)/n*n)**(-41) assuming n is positive. n**(-538/7) Simplify (g/g**(-2/51))/g*g**27 assuming g is positive. g**(1379/51) Simplify (a/a**(-7)*a*a**(-2/7))**(2/3) assuming a is positive. a**(122/21) Simplify t*t/t**19*t*t/((t/(t*t*t*t**48*t*t*t))/t)*t assuming t is positive. t**40 Simplify (v**5*v**3*v)/(v*v**(2/11)*v**(1/5)) assuming v is positive. v**(419/55) Simplify (q**(-2/21)/q)/q**(-6/5)*q*q**(-1/8)*q*q**(-2) assuming q is positive. q**(-17/840) Simplify u**8/(u*u**(-4/5))*(u**(-1/4)*u)/(u/u**4) assuming u is positive. u**(231/20) Simplify (o**(1/3))**(4/3) assuming o is positive. o**(4/9) Simplify (v*v*v**(-2/3)/v*v*v)**(-29/3)/(v**1/(v/v**(-6))) assuming v is positive. v**(-149/9) Simplify (o**(7/5)*o)/o*((o**36/o)/o*o)/o assuming o is positive. o**(177/5) Simplify o/(o*o**(-38))*o**(-4/3)*o assuming o is positive. o**(113/3) Simplify (b**(-8)/b)**33 assuming b is positive. b**(-297) Simplify (o/((o**(2/77)*o)/o))/(o/o**(2/35)) assuming o is positive. o**(12/385) Simplify (t**(-20))**(7/4) assuming t is positive. t**(-35) Simplify (w**(1/70)/w)/(w*w**(-32)) assuming w is positive. w**(2101/70) Simplify (t/((t*t*t**(-7)/t)/t))/t**(-2/3)*(t**(-2/17)/t)/t**(-4) assuming t is positive. t**(589/51) Simplify (h**(-1)*h*h*h)**(-41)/(h**(3/8)/(h*h**(-5/4))) assuming h is positive. h**(-661/8) Simplify l**(14/9)/(l/(l*(l/(l*l**(4/17)*l))/l*l)) assuming l is positive. l**(49/153) Simplify (a/((a**26/a*a)/a)*a)**(-49) assuming a is positive. a**1127 Simplify ((f*f/(f/((f*f/((((((((f**(1/3)*f)/f)/f*f)/f)/f)/f)/f)/f)*f)/f)))**(2/89))**(-2/57) assuming f is positive. f**(-92/15219) Simplify (z*z/z**(2/77))**(-50) assuming z is positive. z**(-7600/77) Simplify ((t**(1/4))**(-20))**(-2/13) assuming t is positive. t**(10/13) Simplify (n**(-8))**(-15) assuming n is positive. n**120 Simplify v**(-3/7)*v/(v*v/(v/(v**(-6/29)*v))) assuming v is positive. v**(-248/203) Simplify (i/i**1)**(38/5)*i*i*i*i/(i/(i*i**(-3/5)/i))*i/(i/(i*i**6)) assuming i is positive. i**(47/5) Simplify (b*b**(2/33))/b*(b*b/(b*b*b/b**(-2/25)*b))/b assuming b is positive. b**(-2491/825) Simplify (d**1/((d/(d**(4/3)*d*d))/d))**(-14) assuming d is positive. d**(-182/3) Simplify (t**(-2/11)*t)**(-3/19) assuming t is positive. t**(-27/209) Simplify p**6*p*p/(p/p**(-9))*(p/(p/p**(-3/5)))/p*(p**3*p*p)/p assuming p is positive. p**(2/5) Simplify (t**(-1/2))**33/(t**(-3)/t*t**4) assuming t is positive. t**(-33/2) Simplify (t/t**(-1/3))/t**(16/5) assuming t is positive. t**(-28/15) Simplify (t**(-1))**(-1/52)*t/(t*(t/t**(1/4))/t)*t**0 assuming t is positive. t**(7/26) Simplify (i**(-6/11)/(i**(12/5)/i*i))**(-26) assuming i is positive. i**(4212/55) Simplify (m*m/m**(2/27)*m**(-1/12))**(7/4) assuming m is pos
{ "pile_set_name": "DM Mathematics" }
7350042*m/11 - 249617130348/11 = 0. -6, 1, 144227/24 Solve 2*i**5/7 - 22548*i**4/7 + 84937696*i**3/7 - 15380752372*i**2 + 2860220813502*i/7 - 18547653959648/7 = 0 for i. 11, 16, 3749 Suppose -3*u**5 + 921*u**4 - 9819*u**3 + 14775*u**2 + 95646*u - 186480 = 0. What is u? -3, 2, 5, 7, 296 Solve -o**5/9 - 29*o**4/9 + 4102*o**3/9 + 6008*o**2/9 - 285664*o + 284544 = 0. -76, -26, 1, 36 Suppose 3*n**5 + 917841*n**4 + 70204051854*n**3 + 210605730720*n**2 + 140402596704*n = 0. Calculate n. -152972, -2, -1, 0 Suppose -d**2/9 + 419*d - 1674098/9 = 0. Calculate d. 514, 3257 Factor -5*f**3 + 1475*f**2 + 477750*f. -5*f*(f - 490)*(f + 195) Determine i so that -i**4/5 + 4086*i**3/5 - 245463*i**2/5 - 49910*i = 0. -1, 0, 62, 4025 Let -9*j**3 + 76944*j**2 - 102579*j + 25644 = 0. What is j? 1/3, 1, 8548 Determine b, given that 2*b**4 - 933776*b**3 + 411535908*b**2 - 60483072384*b + 2963359247562 = 0. 147, 466447 Factor -i**2/5 - 10016554*i/5 - 25082838508729/5. -(i + 5008277)**2/5 Determine k so that 5*k**2 - 8005*k - 2633400 = 0. -280, 1881 Suppose -3*y**2 + 460097952*y - 17640843786216192 = 0. What is y? 76682992 Factor 2*a**3 - 8464752*a**2 + 16929498*a - 8464748. 2*(a - 4232374)*(a - 1)**2 Factor 5*p**2 + 23420860*p + 27426834156980. 5*(p + 2342086)**2 Determine f so that f**2/4 + 23811*f/4 - 692201/2 = 0. -23869, 58 Suppose -4*p**4 - 9020*p**3 - 1937592*p**2 + 7858736*p - 7894880 = 0. What is p? -2014, -245, 2 Solve 5*j**5 - 46460285*j**4 + 107927927344195*j**3 - 107927834423635*j**2 - 107927927344200*j + 107927880883920 = 0 for j. -1, 1, 4646028 Factor -491*y**3 + 14096*y**2 - 71319*y + 100350. -(y - 3)**2*(491*y - 11150) What is l in -14*l**4/9 - 37500368*l**3/9 - 2790232738358*l**2 + 797209693956*l = 0? -1339299, 0, 2/7 Factor -2*v**2/3 - 602*v - 190564/3. -2*(v + 122)*(v + 781)/3 Let 2*u**5/9 + 74*u**4/3 + 2462*u**3/3 + 69554*u**2/9 + 13092*u + 6160 = 0. What is u? -55, -42, -12, -1 Factor a**2/7 + 94691*a/7 - 36126980/7. (a - 380)*(a + 95071)/7 Factor -r**3 + 44820*r**2 - 1119875*r. -r*(r - 44795)*(r - 25) What is p in 3*p**4 - 45078*p**3 - 496629*p**2 + 6136008*p - 13713744 = 0? -19, 4, 15037 Factor 3*f**2 + 4035*f + 63792. 3*(f + 16)*(f + 1329) Let -32234*u**4 + 257876*u**3 - 225670*u**2 + 28*u = 0. Calculate u. 0, 2/16117, 1, 7 Factor -u**2/3 + 64558*u - 16068053/3. -(u - 193591)*(u - 83)/3 Solve -5*l**5/2 - 18595*l**4/2 + 111880*l**3 - 186550*l**2 = 0 for l. -3731, 0, 2, 10 Solve -d**5/5 + 16663*d**4/5 + 953229*d**3/5 - 631907*d**2 - 1822420*d - 1003200 = 0 for d. -60, -1, 5, 16720 Determine l so that -2*l**2/11 + 302*l/11 + 281212/11 = 0. -307, 458 Suppose -4*x**2/5 - 44477572*x/5 - 26686536 = 0. Calculate x. -11119390, -3 Let 2*q**3 - 27004*q**2 + 24300050*q - 5664090000 = 0. What is q? 475, 12552 Determine p so that 10*p**4/17 - 29038*p**3/17 + 1244946*p**2 - 121742082*p/17 - 25195212/17 = 0. -1/5, 6, 1449 Let 5*c**5 + 1768*c**4 + 27817*c**3 - 52390*c**2 - 165588*c + 72792 = 0. What is c? -337, -18, -2, 2/5, 3 Solve -5*j**2 - 8211225*j + 24633720 = 0. -1642248, 3 Suppose -a**5/6 + 2162*a**4/3 + 726245*a**3 - 4363954*a**2/3 + 4366115*a/6 = 0. Calculate a. -845, 0, 1, 5167 What is r in -4*r**4/3 + 1348026*r**3 + 2022040*r**2/3 = 0? -1/2, 0, 1011020 What is i in 3*i**3 + 3068211*i**2 + 784525443600*i + 16473681262332 = 0? -511358, -21 Factor 2*z**3 - 35091302*z**2 + 140365184*z - 140365176. 2*(z - 17545647)*(z - 2)**2 Let -2*f**2/9 + 332600*f/9 - 6095650/3 = 0. Calculate f. 55, 166245 Determine n so that n**2/9 + 26382023*n/9 - 2931336 = 0. -26382024, 1 Factor -h**2/6 + 11868741*h/2 + 35606225/3. -(h - 35606225)*(h + 2)/6 Factor -h**3 + 1002*h**2 - 7943*h - 8946. -(h - 994)*(h - 9)*(h + 1) Let 3*b**3/5 - 333*b**2/5 + 4488*b/5 + 69552/5 = 0. Calculate b. -9, 28, 92 Solve -2*o**2/7 - 19167196*o/7 - 45922675312802/7 = 0 for o. -4791799 Suppose 98*g**3 + 3541608*g**2 + 80912640*g + 462284800 = 0. Calculate g. -36116, -80/7 Factor -o**3 + 12235*o**2 - 585191*o + 2620205. -(o - 12187)*(o - 43)*(o - 5) Suppose 5*w**2 - 543950*w + 150831680 = 0. What is w? 278, 108512 Factor -5*q**2 + 33817440*q - 57180962407680. -5*(q - 3381744)**2 Factor 283*x**2 + 427*x + 144. (x + 1)*(283*x + 144) Determine m so that -m**3/5 - 107*m**2/5 + 2817*m/5 - 2709/5 = 0. -129, 1, 21 Determine r, given that 5*r**4 - 241220*r**3 - 2895120*r**2 - 11581120*r - 15441920 = 0. -4, 48256 Factor s**2/5 - 6422988*s/5 - 2569196. (s - 6422990)*(s + 2)/5 Solve 2*a**2/3 - 10312*a/3 - 38867598 = 0 for a. -5481, 10637 What is w in 76*w**2 - 6504*w - 6580 = 0? -1, 1645/19 Suppose 18*c**3 + 35168178*c**2 + 23445446*c + 3907574 = 0. What is c? -1953787, -1/3 Factor 2*f**2/3 + 1702*f/3 + 352988/3. 2*(f + 358)*(f + 493)/3 Determine m, given that 3*m**5 - 438*m**4 - 6816*m**3 + 15360*m**2 = 0. -16, 0, 2, 160 Determine l so that 2*l**5/9 + 274*l**4/9 + 1720*l**3/3 - 213160*l**2/9 - 1151552*l/9 - 311168/3 = 0. -102, -52, -4, -1, 22 Solve 12*q**4/7 + 441*q**3 - 88965*q**2/7 - 61422*q - 101880/7 = 0. -283, -4, -1/4, 30 Find q such that -783363*q**2 + 208077156*q - 13817381868 = 0. 67866/511 Suppose -q**5 + 2797*q**4 + 67660*q**3 + 124124*q**2 = 0. Calculate q. -22, -2, 0, 2821 Suppose r**5/3 - 1315*r**4/3 + 106179*r**3 + 79882711*r**2/3 - 488057998*r/3 + 218019288 = 0. Calculate r. -153, 2, 4, 731 What is q in -q**2/4 + 4517*q/4 + 3802419/2 = 0? -1306, 5823 Let 3*s**2/5 + 353356122*s/5 + 10405045746239907/5 = 0. What is s? -58892687 Factor d**3 + 2704*d**2 + 1828655*d + 1825952. (d + 1)*(d + 1327)*(d + 1376) Factor -4*r**2/5 + 17576*r/5 + 5393664/5. -4*(r - 4682)*(r + 288)/5 Determine t, given that 5*t**4 - 595*t**3 - 1061100*t**2 = 0. -405, 0, 524 Find g, given that -g**5/3 + 479*g**4/3 - 24134*g**3 + 2821612*g**2/3 + 91075480*g/3 + 183767200 = 0. -12, -10, 145, 178 Suppose d**5/5 - 174*d**4/5 - 724*d**3/5 + 2136*d**2/5 = 0. What is d? -6, 0, 2, 178 Factor -s**2/8 + 144457*s/8 + 144459/4. -(s - 144459)*(s + 2)/8 Solve -2880*z**4 - 2717520*z**3 - 15075965*z**2 + 6635600*z - 703500 = 0. -938, -6, 5/24 Factor 4*q**3 - 6416*q**2 + 1663996*q - 1657584. 4*(q - 1279)*(q - 324)*(q - 1) Suppose -4*y**3/7 - 3947716*y**2/7 - 973991346656*y/7 + 18507260739376/7 = 0. Calculate y. -493474, 19 Factor 3*i**3 - 16104*i**2 - 420813*i + 436914. 3*(i - 5394)*(i - 1)*(i + 27) Suppose x**3 + 77*x**2 - 3803904*x - 2955460608 = 0. What is x? -1152, 2227 Let -w**3 + 202960049*w**2 - 10298195271040575*w - 10298195474000625 = 0. Calculate w. -1, 101480025 Find f, given that -4*f**3 - 1728*f**2 + 247216*f - 960960 = 0. -546, 4, 110 Solve -2*u**5 - 202*u**4 + 232860*u**3 + 234044*u**2 - 1165850*u + 699150 = 0 for u. -395, -3, 1, 295 Suppose -9*u**5 + 348721*u**4 - 3377391881*u**3 - 10886095625*u**2 - 2252343750*u = 0. Calculate u. -3, -2/9, 0, 19375 Factor h**3/5 - 92408254*h**2 + 10674106759160645*h. h*(h - 231020635)**2/5 Solve -h**4 - 489726*h**3 + 2448655*h**2 = 0 for h. -489731, 0, 5 Let -a**4/5 - 1236*a**3 + 1038292*a**2/5 - 13471056*a/5 + 4567680 = 0. What is a? -6344, 2, 12, 150 Determine a, given that -5*a**2 - 670*a + 1718055 = 0. -657, 523 Factor -25*p**3 + 33978590*p**2 - 11545438988160*p - 4618181031840. -5*(p - 679572)**2*(5*p + 2) Factor 2*m**3 + 82670*m**2 + 495934*m - 578606. 2*(m - 1)*(m + 7)*(m + 41329) Factor -724*a**2/5 + 5492*a/5 + 9216/5. -4*(a - 9)*(181*a + 256)/5 Suppose 5769*r**3 - 63444*r**2 + 57525*r + 150 = 0. What is r? -5/1923, 1, 10 What is r in -r**2/5 + 2514266*r/5 - 1580383379689/5 = 0? 1257133 Find r, given that 52*r**2/9 - 924*r + 6120 = 0. 90/13, 153 Let -18*o**4/11 - 6739402*o**3/11 + 65897686*o**2/11 - 153512710*o/11 - 37442100/11 = 0. What is o? -374421, -2/9, 5 Let 4*l**4 - 39744*l**3 - 1434252*l**2 - 17105192*l - 67410720 = 0. What is l? -13, -10, 9972 Let 2*c**2 + 167722660*c + 3516361334684450 = 0. Calculate c. -41930665 Factor g**5 - 11077*g**4 + 88570*g**3 - 199258*g**2 + 177109*g - 55345. (g - 11069)*(g - 5)*(g - 1)**3 Suppose -r**3/4 + 1101*r**2/2 + 105657*r/4 + 51727/2 = 0. Calculate r. -46, -1, 2249 What is z in -z**3/6 - 4394195*z**2/6 + 43942175*z/2 - 329566875/2 = 0? -4394225, 15 Determine b, given that 2*b**2 + 26044*b - 26069808 = 0. -13956, 934 Find z, given that -2*z**3/15 + 468*z**2/5 + 762518*z/15 - 50928 = 0. -360, 1, 1061 Factor 3*a**4/8 - 240675*a**3/4 + 360999*a**2
{ "pile_set_name": "DM Mathematics" }
4/5, 149, -0.3? 4/5 Which is the nearest to -32? (a) 14 (b) 0.12 (c) 2/3 (d) 1 b Which is the nearest to -23? (a) -2/21 (b) 5 (c) -0.4 (d) -70 (e) -26 e Which is the closest to -0.37? (a) -0.4 (b) -52 (c) 1 (d) 0.1 (e) -8.177 a What is the closest to 5 in -2, 4, 2000, -0.18? 4 What is the closest to 1/4 in -1/57, 1, 3/4, -4, -1888, 1/8? 1/8 What is the nearest to 0 in -71, -6853, 5, -2/107? -2/107 Which is the nearest to 31.41? (a) 96 (b) 2/9 (c) -5 (d) -4 (e) 3/2 e Which is the closest to -79? (a) 2 (b) -32 (c) -38 (d) 0.1 (e) 0 c What is the nearest to 1 in 39089, -2, 9, 0.5, 3? 0.5 Which is the nearest to 178? (a) 2 (b) 4 (c) 21/8843 b Which is the nearest to 2? (a) -1/5 (b) -0.008 (c) -201 (d) -1/4 (e) 1 (f) 2/7 e What is the nearest to 34 in -3, 13, 0.5, -11/2? 13 What is the nearest to -2/5 in 0.08, 0.1, 31348, -1, 0? 0 Which is the closest to 1.52? (a) 0.07 (b) 3 (c) -0.4 (d) -4/69 a Which is the nearest to 6/7? (a) 177 (b) 0.064 (c) 64 b Which is the nearest to 26/17? (a) 0.06 (b) -0.01 (c) 1.36 c What is the nearest to -1 in 5, 1/62, 7, 0, -244? 0 What is the closest to -495 in -0.2, 5, 3.782? -0.2 Which is the nearest to 1? (a) -2/7 (b) -0.1 (c) 0 (d) 27 (e) -208 c What is the closest to -1 in -35, -2/11, 0.157, 5.4, 2/7, 8? -2/11 What is the nearest to 79 in -5, -27/1658, -0.4? -27/1658 Which is the closest to 0.1? (a) 3 (b) -26 (c) 1/9 (d) -16/5 (e) -1.52 c What is the nearest to 87 in 2.5, 9, 3, -2, -1/2? 9 Which is the nearest to 10? (a) 3 (b) -21/94928 (c) 2 a What is the closest to -0.9 in -8.7, 5, -44/9, 678/7? -44/9 Which is the closest to -1984/29? (a) 3 (b) -5/11 (c) -22 c What is the closest to -139 in 3, 239, 3/8? 3/8 What is the closest to -7 in 2/15, -80, -5/3, 1262? -5/3 Which is the nearest to 3? (a) 0 (b) -17 (c) -2269 (d) -2 (e) -0.4 a What is the nearest to 2/7 in 0.02, 2/7, -2280? 2/7 Which is the nearest to -1/4? (a) 740 (b) 1/38 (c) 10 (d) -4 b What is the closest to -25 in 2, 5, -4, 60, 2/3? -4 Which is the nearest to -1? (a) 66 (b) 4 (c) 1 (d) 0.04 d What is the closest to -2/9 in 0.00886, -4/7, -1, 20/3? 0.00886 What is the closest to -1/2 in 349, -0.01, 5/2, 1/10? -0.01 Which is the closest to -120? (a) 2/7 (b) -5 (c) 4 (d) 42.71 b What is the closest to -33.5 in 3/4, 0.026, -11, -0.1, 2/17? -11 What is the nearest to -1 in 0, 4/13, -1/2, 7, 5, -322? -1/2 What is the closest to 2/3 in 0.076, -10417, -5? 0.076 What is the closest to 1.6 in 100, -0.4, 0, 11, 5? 0 What is the nearest to 2/3 in -1/2, -64, -907/5, 0.4, 3? 0.4 What is the closest to -0.5 in -136340, -4, 2? 2 Which is the nearest to -0.0639? (a) -4 (b) 0.5 (c) -13 (d) 0.17 d What is the nearest to -1/6 in 232, -111, -2? -2 What is the closest to 0 in -0.03553, -8/15, -1/4, -2/11, -6/11? -0.03553 Which is the nearest to -5? (a) 4/5 (b) -1/10 (c) -0.3 (d) 1 (e) 3.0642 c What is the closest to 0.2 in -52, 50, 2, -2/9, 1/6? 1/6 What is the closest to -620 in -8, -4, -0.2, 3/13, -3/7? -8 Which is the closest to -0.4? (a) 0 (b) 392 (c) 4.028 a What is the closest to 603 in -4, -2/3, -1337, -0.1, 1/2, 0.2? 1/2 Which is the nearest to -1.6? (a) -6 (b) -0.3 (c) -5 (d) -5/2 d Which is the closest to -0.0696? (a) -0.1 (b) -3/8 (c) -1400.7 a Which is the closest to -1? (a) 149/2 (b) -1/3 (c) 10 (d) 1.12 b Which is the closest to 1? (a) 0 (b) 2/11 (c) 249 (d) 2/9 (e) -9/106 d Which is the closest to 2? (a) -88 (b) 2/90527 (c) -4 (d) -2/9 b Which is the closest to 12/31? (a) -2/11 (b) 4 (c) -0.5 (d) 7 (e) -10 a Which is the nearest to 16? (a) -0.5 (b) 2 (c) -17 (d) -8483 b What is the closest to -1 in -2/7, -3, 677722, 2/9, -5, -1/5? -2/7 Which is the closest to 2/7? (a) 1/34 (b) 87838 (c) -0.3 (d) -1 (e) 4 (f) -2/11 a What is the nearest to -11 in 9, 0.6, 0.23239? 0.23239 What is the nearest to -2/7 in 2, 3/98, 0.084, -7? 3/98 What is the nearest to -6 in 0.0242, 0.3, 0.165, 2/3, 2/13? 0.0242 Which is the closest to 7255? (a) 4 (b) -1/4 (c) 6/11 (d) 3 (e) 5 (f) -35 e What is the nearest to 0.0398 in -4, 1, -0.5, -195? -0.5 What is the closest to 6 in -1/5, -12/7, 0, 7.5? 7.5 Which is the nearest to -12.4? (a) 0.4 (b) -5 (c) -230 (d) -141 b What is the nearest to -2/13 in 3, 232, -2/3, -3/4, -2? -2/3 Which is the closest to 0.06? (a) -2/1661 (b) -1/2 (c) 5 (d) -1 (e) -2/7 a Which is the nearest to 3? (a) -6 (b) 4/3 (c) 78 (d) -7/289 (e) 7 b What is the nearest to 3 in -2, -1/25, 39, 1/3, -477? 1/3 Which is the closest to 0? (a) 2 (b) -3 (c) -1/9 (d) 6 (e) 1.8 (f) 0.013 f Which is the nearest to 0.2? (a) -527/8 (b) 1 (c) -19 (d) -2 (e) 0 e Which is the closest to -1? (a) 4 (b) 1656 (c) -0.4 (d) -4 (e) 3 c Which is the closest to -3? (a) 0.16 (b) -0.0218 (c) -22 (d) 2 b Which is the nearest to -0.3? (a) 3 (b) 1313 (c) 0.6 (d) -4/11 d What is the nearest to -2034/5 in 179, -5, 108? -5 What is the nearest to 17 in 0.1, 220.8, -1/4? 0.1 What is the closest to 0 in -3760, 2, -5, 79, -3/5? -3/5 What is the closest to -0.2 in 0.119, -7/181, -1/2, -0.1, 0, -5? -0.1 What is the nearest to -2/11 in 0.3, 0.585, 16, -22? 0.3 What is the nearest to 20.7 in -0.4, 5/4, 166/5? 166/5 What is the nearest to -823 in 0.3, 2/3, 1/10, 4? 1/10 Which is the nearest to 8/5? (a) -3 (b) 2 (c) -62655 b Which is the nearest to -1/2? (a) 0.05696 (b) -67.61 (c) -3 a Which is the nearest to 1? (a) 2515 (b) -39/4 (c) -0.3 c What is the closest to 0.003 in -1/3, -2/171, -22193? -2/171 Which is the closest to -1/5? (a) -273382 (b) 0.4 (c) 1 (d) -6 b What is the nearest to -1 in 0, 154, -18/37, 1.26? -18/37 Which is the closest to 0? (a) -5/6 (b) 2/9 (c) -75 (d) 20 (e) 3 b Which is the closest to 2? (a) -1.7 (b) 1305 (c) 0.4 (d) 5/8 d Which is the nearest to -1/4867? (a) 1/4 (b) -4 (c) 5 (d) 0.069 (e) -1/2 d Which is the closest to 0.2? (a) 0.1827 (b) -15/4 (c) -0.05 a What is the closest to -0.1 in 480.62, -4, -3/22, 2/3, -3/4? -3/22 Which is the nearest to -10427? (a) 5/3 (b) 0.02 (c) -8 c What is the nearest to -1/44 in 2520, -2, 2? -2 What is the closest to -6 in -5, 8/359, 3/38, -0.07? -5 Which is the nearest to -64/5? (a) -1079 (b) 1/3 (c) -3 (d) 0.194 (e) -3/5 (f) 1/4 c Which is the closest to -4/13? (a) 2 (b) -5/2 (c) -0.3 (d) 0.025 (e) -0.08 (f) -7 c What is the nearest to -0.353 in 2/45, 1, 2, -3/2, -5? 2/45 What is the closest to -2/3 in 2/17, 2.905, -150? 2/17 What is the nearest to -36102 in 0.13, -7, 0, 3/8? -7 Which is the nearest to 1232.6? (a) -4 (b) 1.3 (c) -38 b What is the nearest to 14758 in 2/45, 0.8, -0.5, -1/5? 0.8 What is the closest to 243565 in -1/4, -3, -397? -1/4 Which is the closest to 2/6275? (a) -0.5 (b) -0.1 (c) 4/5 (d) -20 b Which is the nearest to 2? (a) 2/3 (b) -82/9 (c) 5 (d) -5 (e) -0.05 (f) 1/2 a What is the nearest to 1/20 in -0.2, -0.5, 0.1, -77357? 0.1 Which is the closest to 1/26? (a) 0.64 (b) 9 (c) -1/3 (d) 1/8 (e) -11 d Which is the closest to 2? (a) 2/59 (b) -512 (c) -2/5 (d) 4 a Which is the closest to 3? (a) 5 (b) -549 (c) 2 (d) 5/6 (e) 2/13 c Which is the nearest to 449? (a) -1/6 (b) 0 (c) 4 (d) -0.5 (e) -3.1 c Which is the closest to 5/4? (a) 8 (b) -7 (c) -3.24 (d) -2/9 (e) -16 (f) 6 d What is the nearest to -6 in 12, 4, 0.5, 1159.3? 0.5 What is the nearest to -2 in -2/9, 0.4, -2/3, -0.59, 100? -2/3 What is the nearest to 34 in 0.1, 3, -71.885? 3 What is the nearest to -2/5 in 919534, 1/5, 0.06, 1? 0.06 What is the nearest to -6 in 1, 24, -6516, -2/5? -2/5 What is the closest to 4/41 in 844, 0.3, 0.07, 0? 0.07 What is the nearest to -3 in 0, 0.07, -0.4, -2, 0.035? -2 Which is the nearest to -1/2? (a) -0.23 (b) 5.6 (c) 2 (d) 5 (e) -8.5 a Which is the closest to -3? (a) -1/7 (b) 29/6 (c) 35 (d) 13 (e) 0.04 a What is the nearest to 17 in -55, -5, 6, -11/5, 2/3? 6 What is the closest to 2/5 in 0.2, -0.1142, 0.13, -13, -2? 0.2 Which is the closest to 7? (a) -0.03 (b) -3 (c) 3 (d) 3/8 (e) -164 c What is the closest to 5 in 1/70, -900, 4? 4 Which is the closest to 1? (a) 6542 (b) -5 (c) -0.0231 (d) -2/3 c Which is the nearest to -7? (a) 7/3 (b) -5 (c) -0.01553 (d) -2/3 b What is the
{ "pile_set_name": "DM Mathematics" }
ppose -704 = -b*u + m. Is u composite? False Let a be (-3)/9 - (0 - 14390/6). Let n = -605 + a. Is n composite? True Suppose -3*a + 20 = 5*h, 8*a = -h + 10*a + 4. Suppose h*t - 152983 = -13*t. Is t prime? True Suppose 4*v - 4*s = 0, 4*s = -27*v + 24*v - 14. Is -5 + 11672/2 - v composite? True Let r(c) = -c - 5. Let n be r(-5). Let v(d) = -3*d. Let w be v(-1). Suppose 0 = -4*u - w*m + 1094 + 887, n = u + 5*m - 508. Is u prime? False Let f be 52*(83/4 - 1). Suppose 3*s + 835 = -1223. Let r = s + f. Is r a prime number? False Suppose 327*i = -164*i + 283661011. Is i a composite number? False Suppose -591*j + 594*j - 694587 = 0. Is j composite? False Suppose -44*t = -40*t - 124. Suppose 34*i - 12360 = t*i. Suppose -c + i = 4*h, -h - 3*c - 405 + 1424 = 0. Is h prime? True Let i = -6185 - -15286. Is i composite? True Let x(y) = 1586*y**2 + 6*y - 1. Let j be x(1). Suppose 4*t + 203 = j. Is t composite? False Suppose 0 = 4*a - 2 - 18. Let r be a/(-20) + -63863*3/12. Is r/(-18)*(1 + 0) prime? True Let u(n) = 17*n + 580. Let t be u(-34). Suppose f = 4*f - 18. Suppose b + t*m - 247 = 0, m = f*b - 3*b - 755. Is b a prime number? True Let g(l) = l**2 + 16*l - 21. Let h be g(-17). Let z be 212*2 + (h - -5). Suppose -a + 5*q + z = -841, 0 = 5*a - 4*q - 6309. Is a a prime number? False Let a = -404880 - -673069. Is a a prime number? True Suppose 0 = -2*l - f + 90913, -3*f + 94071 = 3*l - 42303. Is l a prime number? False Suppose 0 = -4*w + 4*o + 12, 12*w - 8*w - o - 9 = 0. Let l be (-10557)/(-12) - 2/(-8). Suppose -w*x + 3786 = -l. Is x composite? False Suppose -8*d = 2*d + 1150. Let i(y) = 2*y**3 - 6*y**2 - 3*y + 14. Let l be i(6). Let c = l + d. Is c a prime number? True Let t be (375/50)/((-6)/(-39632)) + 1. Let x = t - 33868. Is x a prime number? False Let i = 22 + -11. Suppose -s = -i*s + 90. Suppose s*c = 13*c - 332. Is c composite? False Let d(x) = -x**3 + 70*x**2 + 148*x - 17. Is d(52) a composite number? True Is (-69 + 23752736/95)*(1 + 4)*1 prime? True Let r(m) = 7692*m - 1099. Is r(6) a prime number? True Let q(j) = 395874*j**2 + 3*j - 5. Is q(2) a prime number? True Let o = 4603 + -1440. Suppose 2*r - o = r. Is r a composite number? False Let u be (107/(-4))/(((-19)/36)/19). Let d = u - 124. Is d composite? False Suppose 2*a - 7*a = -o + 28, -a + 4 = 3*o. Suppose 0 = 25*r + 17*r - 2761 - 16475. Suppose -o*p + r = -2*p. Is p a prime number? False Let r(q) = -28*q**3 - 34 + 131*q**3 + 20*q + 4*q**2 - 66*q**3 + 4*q. Is r(9) composite? False Let a(l) = 4*l**2 + 21*l + 15. Let o(g) = -3*g**2 - 20*g - 14. Let p(y) = -2*a(y) - 3*o(y). Let r be p(-7). Let v = -16 - r. Is v prime? False Let n = 95 - 5. Suppose -2*o + 227 = -3*o. Let h = n - o. Is h prime? True Suppose -3*w + 12 = 36. Let t = -171 + 380. Is 2*t - (13 + w) a prime number? False Let f be (4 + (-44)/12)/((-1)/(-33)). Suppose f*r - 24068 = 7*r. Is r prime? False Suppose r + 325346 + 70795 = 5*j, 2*r = -3*j + 237695. Is j a prime number? True Let m(p) = -p**2 + 2*p - 1. Let n(w) = 84*w**2 - 8*w - 33. Let g(u) = 4*m(u) + n(u). Is g(10) a prime number? True Suppose 0 = u - 4*c - 547 - 15564, 5*u = -c + 80555. Let n = u - 278. Is n composite? True Let d(m) be the third derivative of m**5/60 - 3*m**4/8 - 14*m**3/3 - 27*m**2. Let x be d(11). Is ((-4220)/x)/(32/48) a composite number? True Let v = -24 + 22. Let c(o) = -o**3 - 3*o**2 + 5*o + 3. Let w be c(-4). Is 2318 - w - 0 - v composite? True Let f = -4632 + 10552. Let g = f + -2981. Is g prime? True Let o be 1011*(-57)/(12/(-4)). Let a = o + -13618. Is a composite? False Let d(o) = 19*o**2 + 84*o - 2321. Is d(40) a prime number? False Let k(w) be the third derivative of -w**6/120 - 19*w**5/60 + 3*w**4/4 + 11*w**3/6 - w**2 + 26*w. Is k(-24) composite? False Let i = 118443 - -34816. Is i a composite number? False Let y = -529 + 1350. Suppose b + y = 5394. Is b a composite number? True Is 0 + 42669 + 126/(-21) composite? True Let m be (-19)/((-15)/30*(-2)/(-19)). Suppose 3*h - 380 = m. Is h prime? False Suppose -972925 + 82946 = -19*v. Is v prime? False Suppose 0 = 3*k - 2*k + 5, 5*f - 40 = 4*k. Suppose 5*a = -l + 77730, -f*a + 23*l - 20*l + 62165 = 0. Is a prime? False Suppose 13*g = 14*g + 2*w - 2931, -w = -5*g + 14666. Is (1 + -1)/(-2 + -3) + g a composite number? True Let u(l) = -1424*l - 114. Let c be u(10). Let q = 20481 + c. Is q prime? False Is ((-8)/(-3))/(480/6382980) prime? True Let r(g) = 368*g - 47. Let j = -248 + 251. Is r(j) composite? True Suppose -3*c - 5*g + 44568 = 0, 5*c + 5*g = 94599 - 20329. Is c composite? False Let v(x) = 28*x**2 + 291*x + 622. Is v(-83) prime? True Suppose -18*u - 6 = -21*u. Is u*3 + 2109/3 a prime number? True Let i = 21 + -5. Let h = 19 - i. Suppose 3*m - h*b - 259 = 5, 2*b + 90 = m. Is m composite? True Let p = 3119 - 6251. Let s = 5465 + p. Is s a composite number? False Suppose -187*y + 669227 = -183*y - b, 2*b + 501909 = 3*y. Is y a prime number? True Let h(l) = 80*l**2 - 9*l - 8. Is h(-21) composite? False Let u(y) = 9*y**2 - 24*y + 3. Let b be u(3). Let k(g) = 11*g**2 - 4*g + 35. Is k(b) a prime number? True Let s(y) = 9414*y**2 + 785*y - 6339. Is s(8) a composite number? True Suppose l = 48*l - 9870. Is l/140 - 9935/(-2) a prime number? True Let o = -191 - -191. Suppose -6*c + 4763 + 29215 = o. Is c composite? True Let g be 4*-2*(-18)/72. Suppose -151 = -g*p + 111. Let u = p - 78. Is u a prime number? True Let p(l) = 22*l**3 - 2*l**2 - 70*l + 1527. Is p(19) composite? False Let h = -122740 - -223343. Is h prime? False Suppose 5*x = 3*h - 106104, 0 = -3*h - 16*x + 14*x + 106083. Is h composite? False Let n(i) = -i - 2. Let y be n(3). Let a be y/(-1) - 27/9. Is (a*2/8)/(18/83988) composite? False Suppose -1131424 = -4*h - 448*o + 445*o, 1131392 = 4*h - 5*o. Is h composite? True Suppose 291*q - 267826 = 265*q. Is q composite? False Suppose -3*r + 3*v = 4*v - 352, -r = -3*v - 134. Let d = r - 113. Is 28172/20 - d/(-15) a composite number? False Suppose -8*g + 7834 = -6*g. Let m = g + -1608. Is m a composite number? False Let b(c) = 34 + 28*c**3 - c**2 - 64*c**3 + 27*c**3 - 3*c - 2*c**2. Let j(y) = -y**2 + y + 3. Let m be j(4). Is b(m) prime? True Suppose 448*k = 23507632 + 25449360. Is k composite? False Let t be 61/(4/20 - (-759)/(-3870)). Is 14/70 + t/10 prime? False Let a be (-88)/3*(-26760)/80. Let y(x) = x**3 + 8*x**2 - 3*x - 4. Let s be y(-8). Is a/s - 1*(-2)/5 composite? False Let q(y) = -10 + 60*y - 38*y - 1 + 0 - 17*y**2. Let x be q(11). Let j = 2703 + x. Is j prime? True Let x = 102 - 151. Let g = 41 + x. Is 1047 + (g/12)/(1/(-3)) a prime number? True Suppose -84 = -25*l + 4*l. Suppose -4*y = -l*s + 7252, 2*s - 6*y = 242 + 3392. Is s a prime number? True Let t = -49 - -48. Suppose -6*n + 8*n = 0. Is t/((-2)/5218 + n) a composite number? False Suppose -d + 4*d + 3*p = 6, -p = -3*d + 10. Suppose 6*q - 19561 = q - d*t, -q = t - 3911. Let n = 6849 - q. Is n composite? True Suppose 35*k - 97944 = 3*j + 31*k, -4*j = 4*k + 130592. Let z = -10987 - j. Is z composite? False Let m(b) = -59*b**3 - 5*b**2 - 46*b - 151. Is m(-9) prime? False Let k be (-7*5/(-70))/((-4)/64). Let f(z) = 628*z**2 + 15*z - 9. Is f(k) prime? True Let m = -82 - -111. Let j = -26 + m. Is j/(-12) + (-7988)/(-16) prime? True Let s(z) = 56*z**3 + 22*z**2 - z - 55. Is s(14) a composite number? False Suppose 15 = 72*p - 67*p. Suppose 8 = -v + p*v. Is (-42)/v*(-3878)/21 a prime number? False Let f(j) = 4*j**2 - 6*j + 51. Let s(a) = -a**2 - a - 1. Let h(t) = t. Let v(z) = h(z) + s(z). Let n(b) = -f(b) - 6*v(b). Is n(-19) composite? False Let r(f) = 11*f + 108. Let v be r(-9). Suppose 3*n - 2*m - 4419 = 0, 0 = v*m - 7*m. Is n prime? False Let s = -2665 - -4449. Let g = s + 2253. Is g a composite number? True Suppose 3*d = 5*n + 334842 + 537119, 2*n = 4. Is d composite? False Suppose -16*u + 6947759 = -3*u. Suppose u = 32*j + 17*j. Is j a composite number? True Suppose 7*x = 58 + 54. Let j(f) = -8*f + 5 + 10*f**2 - 9*f**2 + x*f. Is j(6) a composite number? False Let d(g) = -g**2 - 5*g + 30. Let y be d(-9). Is (-5583)/y + (3 - 45/10) prime? True Let g be (-1 - -14983)/((-8)/(-7 + 3)). Suppose -2*u = p - g, -14441 = -2*p + 5*u + 550. Is p a composite number? True Suppose 0 = 10*q - 8*q + 8286. Let m(u) = 5*u + 7. Let n be m(-4). Is q*(n/
{ "pile_set_name": "DM Mathematics" }
hout replacement from neetuidtd. 1/252 Calculate prob of sequence vf when two letters picked without replacement from rrrvnqrrf. 1/72 Two letters picked without replacement from kdpedrgkg. What is prob of sequence gg? 1/36 Calculate prob of sequence ycgc when four letters picked without replacement from {s: 1, g: 2, d: 2, x: 1, c: 2, y: 5}. 1/858 Three letters picked without replacement from {r: 1, q: 1, u: 1, j: 2, a: 2, f: 1}. What is prob of sequence fqj? 1/168 Four letters picked without replacement from reshersmmsmyr. Give prob of sequence sesr. 3/1430 Four letters picked without replacement from {s: 2, n: 1, g: 2, b: 4, i: 3}. Give prob of sequence gigi. 1/990 Calculate prob of sequence hsmh when four letters picked without replacement from {s: 1, m: 7, h: 12}. 77/9690 Calculate prob of sequence pw when two letters picked without replacement from {a: 1, p: 3, w: 1}. 3/20 Three letters picked without replacement from {g: 3, x: 3, e: 1, f: 1, m: 2, i: 1}. What is prob of sequence xif? 1/330 Four letters picked without replacement from pbbbbnffc. Give prob of sequence ffcp. 1/1512 What is prob of sequence hqt when three letters picked without replacement from {t: 1, l: 1, b: 16, q: 1, h: 1}? 1/6840 Four letters picked without replacement from {b: 1, t: 1, o: 2, k: 2, y: 8}. What is prob of sequence oytk? 4/3003 Three letters picked without replacement from {g: 4}. Give prob of sequence ggg. 1 Calculate prob of sequence od when two letters picked without replacement from doo. 1/3 Four letters picked without replacement from {x: 7, b: 3}. What is prob of sequence bxbx? 1/20 Two letters picked without replacement from zhgszszsmzcgczzmsscz. Give prob of sequence sc. 3/76 Three letters picked without replacement from gqgqgudfudbdqgduud. Give prob of sequence gfu. 1/306 Calculate prob of sequence hl when two letters picked without replacement from fffzlvvhzhrz. 1/66 Two letters picked without replacement from hth. What is prob of sequence th? 1/3 Calculate prob of sequence jj when two letters picked without replacement from {j: 2, p: 7}. 1/36 Four letters picked without replacement from trcccrtc. Give prob of sequence ccct. 1/35 Three letters picked without replacement from azarrrrattrmat. Give prob of sequence zra. 5/546 Two letters picked without replacement from {n: 1, p: 6, t: 6, h: 1, v: 6}. What is prob of sequence vv? 3/38 Four letters picked without replacement from tttttttgjgjjjgjtj. What is prob of sequence gttj? 3/170 Three letters picked without replacement from {h: 2, w: 11}. What is prob of sequence whw? 5/39 Three letters picked without replacement from ddrrtrccrct. Give prob of sequence trt. 4/495 Calculate prob of sequence bytb when four letters picked without replacement from ccbdccccccbctydc. 1/21840 Two letters picked without replacement from xxxjxjxxxjx. What is prob of sequence xx? 28/55 Calculate prob of sequence gh when two letters picked without replacement from {g: 9, t: 3, n: 2, h: 4}. 2/17 Calculate prob of sequence qos when three letters picked without replacement from {s: 1, o: 1, q: 9}. 1/110 Two letters picked without replacement from {e: 3, s: 3, p: 2, k: 5}. Give prob of sequence ps. 1/26 What is prob of sequence eg when two letters picked without replacement from {d: 2, p: 3, n: 2, e: 2, l: 4, g: 1}? 1/91 What is prob of sequence so when two letters picked without replacement from oioosoxssrs? 8/55 Two letters picked without replacement from wywwywwwwywywwyw. What is prob of sequence yw? 11/48 Two letters picked without replacement from wjjksjwswssttw. Give prob of sequence sj. 6/91 Three letters picked without replacement from kxuuuxkubkdux. What is prob of sequence uuk? 5/143 What is prob of sequence xo when two letters picked without replacement from {x: 1, n: 14, h: 2, i: 1, o: 1}? 1/342 Two letters picked without replacement from {w: 6, x: 12}. Give prob of sequence wx. 4/17 What is prob of sequence vk when two letters picked without replacement from dkpqvqk? 1/21 What is prob of sequence pylp when four letters picked without replacement from {l: 6, p: 4, y: 5}? 1/91 Three letters picked without replacement from otoccdmj. Give prob of sequence jcd. 1/168 Four letters picked without replacement from {o: 7, j: 2, e: 2, k: 1}. Give prob of sequence jkje. 1/2970 Three letters picked without replacement from miqdxrxm. What is prob of sequence mqd? 1/168 Calculate prob of sequence oih when three letters picked without replacement from uiohhu. 1/60 Four letters picked without replacement from lyjyyjyyljjjjjylyl. Give prob of sequence yyjy. 49/2448 What is prob of sequence xx when two letters picked without replacement from uxux? 1/6 What is prob of sequence ii when two letters picked without replacement from vijvjiji? 3/28 What is prob of sequence ppee when four letters picked without replacement from {v: 7, e: 2, p: 2, m: 1}? 1/2970 Two letters picked without replacement from qzbz. Give prob of sequence zz. 1/6 Calculate prob of sequence ppl when three letters picked without replacement from plllbppbll. 1/24 What is prob of sequence mum when three letters picked without replacement from umuuuoumuummu? 8/143 Calculate prob of sequence zxz when three letters picked without replacement from {i: 9, h: 1, c: 3, b: 1, x: 2, z: 2}. 1/1224 Two letters picked without replacement from {n: 2, v: 3, t: 6, r: 1}. Give prob of sequence vt. 3/22 Three letters picked without replacement from ghrppff. Give prob of sequence fpr. 2/105 Four letters picked without replacement from icigxxninfngnncxgggn. What is prob of sequence nxnx? 1/646 Calculate prob of sequence rg when two letters picked without replacement from ururgrgguuuru. 1/13 What is prob of sequence yyya when four letters picked without replacement from {y: 3, a: 4, r: 9}? 1/1820 Calculate prob of sequence fv when two letters picked without replacement from dnznaafzannfndnav. 1/136 Two letters picked without replacement from ppdpppdpptpppppd. Give prob of sequence tp. 1/20 Two letters picked without replacement from kxuhb. What is prob of sequence hb? 1/20 What is prob of sequence yny when three letters picked without replacement from {c: 1, r: 1, k: 4, y: 4, n: 3}? 3/143 What is prob of sequence dm when two letters picked without replacement from {m: 9, d: 1, a: 5, f: 5}? 9/380 Three letters picked without replacement from {f: 1, q: 5, u: 7}. Give prob of sequence quq. 35/429 Four letters picked without replacement from {x: 1, p: 4, t: 1, w: 1, f: 2, z: 3}. Give prob of sequence zfwz. 1/990 What is prob of sequence picp when four letters picked without replacement from ccciiiippzp? 1/110 Calculate prob of sequence kk when two letters picked without replacement from kkkk. 1 What is prob of sequence hd when two letters picked without replacement from hhrrgde? 1/21 Two letters picked without replacement from {e: 2, y: 2, l: 2}. Give prob of sequence el. 2/15 Calculate prob of sequence doq when three letters picked without replacement from {d: 2, o: 9, b: 7, q: 1, x: 1}. 1/380 Two letters picked without replacement from {x: 2, h: 2, l: 1}. Give prob of sequence lx. 1/10 Calculate prob of sequence mccm when four letters picked without replacement from ckkmmkckmkc. 1/220 What is prob of sequence mmtt when four letters picked without replacement from mtmttmtt? 1/14 What is prob of sequence uzup when four letters picked without replacement from zzwwzuzpzwzzzuzzzwwu? 11/19380 Two letters picked without replacement from {e: 5, x: 1, k: 6, c: 2, z: 1, q: 5}. Give prob of sequence zk. 3/190 What is prob of sequence cscs when four letters picked without replacement from {s: 2, c: 6}? 1/28 Two letters picked without replacement from {q: 2, j: 16}. What is prob of sequence jj? 40/51 Three letters picked without replacement from jllzllllzlzljllkzlz. What is prob of sequence klj? 11/2907 What is prob of sequence pp when two letters picked without replacement from pppppppppp? 1 Calculate prob of sequence wqm when three letters picked without replacement from {w: 1, l: 1, m: 3, q: 7}. 7/440 Calculate prob of sequence ddx when three letters picked without replacement from xxxxdxxdxdxxxxdxxxxx. 8/285 Two letters picked without replacement from {y: 6, u: 3, i: 1, j: 4}. Give prob of sequ
{ "pile_set_name": "DM Mathematics" }
Let t = s - 19. Let l = -10 - t. Is l a multiple of 14? True Suppose -p + 22 = 4*o - 78, 4*o - 340 = -4*p. Is 12 a factor of p? False Suppose 13*r - 17*r = c - 81, r - 348 = -5*c. Is c a multiple of 3? True Suppose -7*l + 883 + 118 = 0. Is 27 a factor of l? False Let t be (-1)/2*(-7 - -3). Suppose 0 = t*g + 2*p + 2 - 50, 5*g + 4*p = 120. Does 3 divide g? True Let b = -10 - -14. Suppose 0 = 5*f - 5*w + 10, -16 = -b*f - 5*w + 21. Does 15 divide (-1)/(f + (-232)/76)? False Is -2*(-2 + 5103/(-18)) a multiple of 56? False Suppose -2*w + 4*i - 20 = 82, -w = 2*i + 39. Is 36 a factor of 54/((-2)/20*w/6)? True Let u(p) = 19*p**3 + 4*p**2 - 6*p + 46. Does 8 divide u(4)? False Suppose 2 - 5 = -3*b. Suppose 0 = 5*v + 21 - b, 0 = -k - 5*v + 42. Suppose -2*p + 4 = 12, a - p = k. Is 21 a factor of a? False Let j be 8/8 + (-2)/(2/(-1)). Suppose b - 222 = -3*r, b = -j*r + 5*r - 216. Does 22 divide r? False Suppose 0 = 4*b - 2*p - 622, -2*b - 2*p + 782 = 3*b. Is 13 a factor of b? True Suppose -b = 14 - 1. Let y(j) = j**3 + 13*j**2 + j + 16. Let w be y(b). Suppose 2*g - w*g + 88 = 0. Does 25 divide g? False Suppose 14*o = 3*o + 3685. Suppose 5*t = -0*i + i + o, -3*i = -3*t + 201. Does 24 divide t? False Let h(j) = 34*j**2 - j - 1. Let x be h(-2). Suppose 4*q = x - 17. Is ((-3)/(-2))/(q/1480) a multiple of 35? False Let o(w) = -w - 5. Let h be (10/(-4))/(2/4). Let c be o(h). Suppose l = 3*n + 32, n - 56 = -3*l - c*n. Is 4 a factor of l? True Let f = 14 + -24. Let h(d) = -d**3 - 3*d**2 + 4*d - 1. Let n be h(3). Let g = f - n. Is g a multiple of 12? False Suppose -d - 2*d - 2*f + 2 = 0, 4*d - 2 = -3*f. Let x be (124/6)/((-2)/(-3)). Suppose -d*w = -7*w + 2*h + 82, -2*w = h - x. Is w a multiple of 14? False Suppose -4*l = -3*u - 33, 8*u + 4 = l + 3*u. Let z(h) = 2*h - 3*h**2 + 7 - 13 + l*h + 6*h**2. Is 22 a factor of z(4)? False Let i = -532 + 1013. Is 57 a factor of i? False Let x(p) = -51*p - 51. Is 9 a factor of x(-7)? True Let c = 31 + -143. Let b = -67 - c. Does 28 divide b? False Let l be (-3)/3 - 4/(-2). Let t(m) = 78*m**3 - m**2 + 2*m - 1. Is 13 a factor of t(l)? True Let m(c) = c**3 + 18*c**2 - 20*c - 4. Let n be m(-19). Let d(y) be the second derivative of y**3/3 - 17*y**2/2 + y. Is d(n) a multiple of 4? False Let b be 33/4*(-136)/51. Let t = -17 - b. Is 5 a factor of t + -8 + 42/2? False Let z(m) = m**2 + 9*m + 10. Let v be z(-8). Let j be (0/v)/(-2 - -1). Suppose j = 3*h + 74 - 290. Does 19 divide h? False Let m = 12 + -12. Suppose -1 + m = a. Does 12 divide (a/3)/((-2)/306)? False Suppose -5*j + 3*u = -26, -4*u = j - 0*u + 4. Suppose -j*f + 307 = 59. Is f a multiple of 7? False Let b(o) be the first derivative of -o**4/4 - 4*o**3 + 2*o - 3. Let x be b(-12). Suppose z + x - 14 = 0. Does 5 divide z? False Let h = -18 - -13. Let d(o) be the first derivative of o**4/4 + 2*o**3 - 3*o**2/2 - 3*o - 3. Is 14 a factor of d(h)? False Suppose 2*l = 5*t - 25, 2*l + 4 = -2*t - 0. Let v(s) = 12*s**2 - 7. Does 7 divide v(t)? False Suppose 0*u + 20 = 2*u. Let k be 3 + (-5)/(u/18). Is 20 a factor of (-15)/10*400/k? True Let a = 139 + -108. Let v = a + -15. Is v a multiple of 2? True Suppose -5*z + 6*u + 2271 = -17501, 2*u = 5*z - 19784. Is 138 a factor of z? False Suppose -h + 101 + 4 = 0. Is 4 a factor of h? False Let g = 1516 - 975. Suppose g = 5*f + 156. Does 7 divide f? True Let z(v) = 21*v**2 + 14*v + 35. Is z(-10) a multiple of 95? True Suppose 4*a - 4681 = 5*n, 5*a - 1762 = 3*n + 4073. Does 6 divide a? True Suppose -5*x + 4*r = 175, 2*x + 94 = -4*r - 4. Let s(o) = -76*o**3 - 2*o**2 - o. Let v be s(-1). Let z = x + v. Does 17 divide z? False Suppose 86 = 22*n - 1674. Is n a multiple of 10? True Let l(u) = -7 - 28*u**2 + 1 + 31*u**2. Let j = 3 - 0. Is 14 a factor of l(j)? False Let j = 3 - 162. Suppose 4*v + 558 = -2*v. Let q = v - j. Is 22 a factor of q? True Let a be (-7)/((-7)/(-2)) + 0 - -170. Suppose 0 = 2*l + l - a. Does 14 divide l? True Let f be (-4)/2*(24/(-4) - -5). Suppose -6*v = -v + m - 207, 0 = -f*v - m + 81. Is v a multiple of 14? True Suppose -5*j + 176 = 2*p, 3*p - 5*p + 176 = -5*j. Is 22 a factor of p? True Suppose 1212 = 5635*s - 5629*s. Is 8 a factor of s? False Suppose 5*z = -3*l + 1378, 2*l - 2*z = -3*l + 2276. Does 57 divide l? True Let c(z) = -z**2 - 7*z - 6. Let u be c(-7). Let f be 302/8 + u/8. Let n = -24 + f. Is n a multiple of 4? False Let p(r) = 39*r + 10. Let w be p(10). Suppose x + 9*x - w = 0. Does 10 divide x? True Let i(v) = v**3 - v**2 + 1. Let j(t) = 5*t**3 - 7*t**2 + t + 30. Let s(h) = -6*i(h) + j(h). Does 6 divide s(0)? True Let k(g) be the third derivative of -g**5/40 - 19*g**4/24 + 13*g**3/6 + 14*g**2. Let c(b) be the first derivative of k(b). Is c(-14) a multiple of 4? False Suppose 9 = 4*i - 11. Suppose 5*t = i*x + 1415, 0*t - 578 = -2*t + 5*x. Is 19 a factor of t? False Let z(o) = -o**3 + 7*o**2 + 19*o - 22. Is z(8) a multiple of 2? True Let v(z) = -16*z - 10. Is 7 a factor of v(-22)? False Let i = -29 + 8. Let j be (i/7)/((-1)/7). Is 3/2*616/j a multiple of 32? False Suppose -4 = 9*p + 14. Is (-58)/p - (-1 + -2 - -3) even? False Let v be (-90)/105*14/(-3). Let n be (88/33)/(v/294). Suppose -74 - n = -5*u. Does 9 divide u? True Let h = 17 - 14. Suppose -s = s - 5*i + 2, -5*i = -3*s + 2. Suppose h*d + 2*t = 27, d - s*t + 5 = -0. Is d a multiple of 6? False Let n(z) = -9*z + 79. Let i be n(8). Suppose -10*w + 884 = i*w. Does 7 divide w? False Let n(c) = 4*c**2 - 26*c + 72. Does 54 divide n(9)? True Suppose -3*k = 3*l - 270, 20*k - 5 = 25*k. Does 13 divide l? True Let n(d) = -539*d + 22. Let x be n(-2). Suppose -44*g + 49*g = x. Does 44 divide g? True Let u = -797 + 1164. Let s = u + -223. Is s a multiple of 16? True Let m = 33 - 28. Suppose -3*g - 4*w + 139 = 0, -5*g - 3 = -m*w - 293. Does 17 divide g? False Let l = 15 - 1. Let o(f) = -f**3 - 5*f**2 + 5*f - 1. Let j be o(-6). Suppose j*r - 21 = l. Does 2 divide r? False Let c(q) = -q. Let u(k) = -10. Let m(x) = 4*c(x) + u(x). Is m(-4) a multiple of 2? True Suppose 5*h = -3*c + c + 74, -24 = -h - 5*c. Is h a multiple of 14? True Let h(r) = -r**2 + 29*r + 36. Is h(9) a multiple of 31? False Let v(j) = 2*j - 21. Let d be v(13). Let x = 20 + d. Does 9 divide x? False Let w(z) = -z**3 + 4*z**2 - 2*z - 3. Let g be w(3). Suppose -413 = -5*h + 3*a, 5*a + g*a - 20 = 0. Is h a multiple of 17? True Let i(j) = j + 13. Let k be i(-10). Suppose -k*t = 2*t + 15, 2*t + 9 = o. Does 2 divide o? False Let j be (-20 - 3) + (-1 - -2). Does 10 divide (-656)/j + 6/33? True Let h(s) = s + 1. Let y be h(4). Suppose c = -y*z + 2*z, -2*c = 5*z. Let j(f) = f**3 - f**2 + 42. Does 14 divide j(c)? True Let f be 2/6 + (-4)/((-12)/5). Is (((-4)/(-5))/f)/((-4)/(-500)) a multiple of 25? True Let o(m) = 15*m**2 - 3*m - 2. Let n(f) = f**2 + 2*f - 1. Let q be n(-2). Let s be 1/q*(0 - -1). Does 11 divide o(s)? False Suppose 0 = -15*s + 40 + 80. Is (s/(-14))/(14/(-637)) a multiple of 8? False Suppose -3 = -c - 25. Let k = c - -22. Suppose 0*s + 2*s - 3*g - 38 = k, 5*s = 2*g + 106. Does 11 divide s? True Suppose 33*a = 14*a + 3838. Is 30 a factor of a? False Suppose 3*k - 2*k - 6 = 0. Suppose 5*d = -k + 26. Suppose d*t - 165 = -t. Is 11 a factor of t? True Suppose -4*g + 48 = -4*m, 0*g - 70 = -5*g - 5*m. Let p be g/5 - (-10)/25. Suppose 0 = n - 22 + p. Does 7 divide n? False Suppose -36*f = -34*f + 4. Let r(b) = -35*b + 1. Is r(f) a multiple of 33? False Is 48 a factor of (-15)/2*(-96)/15? True Let w(y) = y**3 + 6*y**2 - 8*y - 4. Let v be w(-7). Suppose h + k - 18 = 0, 8 = 2*h - v*k - 28. Is 6 a factor of h? True Let f be 4/10 - (-87)/(-5). Let u = f - -99. Is u a multiple of 5? False Let p = 3292 - 2236. Is p a multiple of 48? True Let n(j) = j**3 + 39*j**2 - 8*j - 261. Is n(-39) a multiple of 6? False Let i(d) = d**3 - 6*d**2 + 9*d - 19. Let a be i(5). Suppose s - 15 - 4 = 0. Suppose -s + a = -3*x. Is x a multiple of 2? True Suppose -4*i - 116 = -4*f, 3*f - i = 4*i + 97. Suppose -m + f = 4*j, -2*m - 2*j = m - 22. Suppose 30 = -m*v + 118. Is 22 a factor of v? True Suppose 5*x + 34 - 44 = 0. Is x + (-564)/(-18)*6/4 a multiple of 7? True Is 54 a factor of 50 + 1/(1 + (-6)/8)? True Suppose 95*j - 115*j + 5900 = 0. Is j a multiple of 6? False Let m(x) = -28*x - 2. Is 33 a factor of m(-26)? True Let f = -658 - -1
{ "pile_set_name": "DM Mathematics" }
d by 140/34 + z/51. 1 Let t = -2781 - -3343. What is the remainder when t is divided by 113? 110 Suppose 0 = -g + 8*g + 182. Let q = 33 + g. Suppose -q*l + 4 = -129. What is the remainder when 31 is divided by l? 12 Let q(o) = o**3 - 53*o**2 + 188*o - 89. What is the remainder when 8596 is divided by q(51)? 2 Let k(r) = -12*r**2 - r. Let l(b) = b + 2. Let c be l(-3). Let z be k(c). Let g = z - -26. Calculate the remainder when 58 is divided by g. 13 Let g(h) = 12*h**3 + 2*h**2 + 2*h. Let d be g(-1). Let a be 4532/6 - (-16)/d. Suppose 13*k - a = 104. What is the remainder when k is divided by 35? 31 Let a = -4130 + 4182. Calculate the remainder when 2700 is divided by a. 48 Suppose -225 = 20*z - 17*z. What is the remainder when 175 + (-25)/z*(-1 + 1) is divided by 63? 49 Suppose -71*r + 9043 = 13*r - 2633. Calculate the remainder when 698 is divided by r. 3 Let z = -5482 - -5612. Calculate the remainder when 406 is divided by z. 16 What is the remainder when (9*23/(-46))/((-2)/136) is divided by 14? 12 Suppose -2*o + 716 = 2*c, 4*o - 1788 = -7*c + 2*c. What is the remainder when c is divided by 71? 1 Let h be 6/10*(-1040)/(-156). Let t(w) = -3*w**2 + 24*w - 11. Calculate the remainder when t(h) is divided by -20*((-7)/4 - -1). 7 Let j(s) = s + 33. Let l be j(-26). Suppose l*d - 2889 = 233. What is the remainder when d is divided by 56? 54 Let o(v) = -56*v + 2872. What is the remainder when 765 is divided by o(51)? 13 Suppose 17 = -3*o - b, o + 0*o + 5*b + 1 = 0. Let c be ((-66)/55)/(o/(-20)). Calculate the remainder when 12*2*c*232/(-96) is divided by 59. 55 Let t = 7389 + -6909. Calculate the remainder when t is divided by 188. 104 Suppose 3*z - 3*h - 1394 = -z, 4*z = -5*h + 1410. What is the remainder when (-20)/z*-10*77 is divided by 30? 14 Let q(m) = -m**3 + 12*m**2 + 18*m - 62. Let w be q(13). Suppose 125 = w*s + 2*l, -s = -6*l + 4*l - 31. Calculate the remainder when s is divided by 21. 18 Let a = 12020 - 10330. Calculate the remainder when a is divided by 77. 73 Let k(n) = n**2 + 16*n + 11. What is the remainder when k(12) is divided by 13 - (0/2 - 1)? 11 Let u(q) = -q + 144 - 454 + q**2 + 236. Calculate the remainder when 62 is divided by u(-9). 14 Let z = -10320 + 10394. Calculate the remainder when 211 is divided by z. 63 Suppose 2*b = a - 37, -2*a + 3*b - 102 = -5*a. Suppose -r = -a + 7. Calculate the remainder when r is divided by 5. 3 Suppose -4*v = l - 85, -23*l - v - 593 = -28*l. Calculate the remainder when 341 is divided by l. 107 Suppose 11*l - 4*b + 2619 = 14*l, -4*b = 4*l - 3492. Calculate the remainder when l is divided by 148. 133 Suppose 117*w + 0*w - 1539369 = 0. What is the remainder when w is divided by 8? 5 Suppose 0 = 2*z - 3*h - 1935, 2*h - 1488 = -2*z + 442. Suppose 190*q + z = 196*q. Calculate the remainder when q is divided by 27. 26 Calculate the remainder when 193 is divided by (-84)/(-8)*(1/(-2))/((-42)/112). 11 Suppose 96 = 2*u - 4*q, 4*u = 5*u - 5*q - 57. Let x(i) = i + 7. Let k be x(-11). Calculate the remainder when u is divided by -1 - -21 - (-7 - k). 19 Suppose -4*b + 8*u = 4*u - 2036, -3*b + u = -1537. Let r = 742 - b. Calculate the remainder when r is divided by 33. 30 Let a = 65 + -47. What is the remainder when 1580 is divided by a? 14 Let w = -73 - -77. Suppose 0 = -5*g - 0*g + 5, 4*g = 4*t - w. Suppose -t*f = 3*p - 38, 5*f - 65 = -p - 4*p. Calculate the remainder when 48 is divided by p. 0 Suppose 7 = 2*n - 7. What is the remainder when ((-40)/(-12))/5 - 112/(-3) is divided by n? 3 Suppose -2*a + 130 = -4*r, -126 = -2*a - r + 29. What is the remainder when 4198 is divided by a? 73 Suppose -14*v = -6 - 8. What is the remainder when 70 is divided by ((-196)/16 - -7)*(v + -5)? 7 Calculate the remainder when (18 - -2)/(-3 - (-40)/12) is divided by 49. 11 Suppose 3*r + 245 = 5*q, 2*q + r + 48 - 146 = 0. Suppose w - q = -6*w. Let x = -254 - -295. What is the remainder when x is divided by w? 6 What is the remainder when 361 + 1 + 6/((-57)/19) is divided by 195? 165 Let v(i) = i**2 + 3*i + 1. Calculate the remainder when (-326)/(-2) + ((-312)/(-6) - 44) is divided by v(4). 26 Suppose 5*a + 8*a - 1394 = -4*y, 0 = 4*a + 4*y - 440. What is the remainder when 617 is divided by a? 87 Let g(h) = -8*h**2 + 10*h - 31. Let i be g(4). Let b = -62 - i. What is the remainder when b is divided by 1*(-40)/(-12)*3? 7 Suppose 3*m = -110 - 43. Let u = m + 109. Let y = 99 - 89. Calculate the remainder when u is divided by y. 8 Suppose 307*u = 274*u + 51645. What is the remainder when u is divided by 112? 109 Suppose 0 = -9*a + 19 + 8. Suppose a*r - d + 7 = -4, 5 = -5*r - d. What is the remainder when 19 is divided by (r/3)/((-20)/150) + 2? 5 Let d = -24 + 1. Calculate the remainder when -7 - -1 - (-116 - d) is divided by 2. 1 Let p(g) = g**3 + 8*g**2 + 10*g - 1. Suppose 4*y + 2*m + 22 = 0, 4*y = 7*y - m + 19. Calculate the remainder when 76 is divided by p(y). 10 Suppose -2*u + 5*u - 451 = 2*v, 0 = -2*u + 5*v + 286. Let n = 225295 - 225283. What is the remainder when u is divided by n? 9 Let q = 1287 + -1322. Suppose -5 = m + 3. Let r = m - q. Calculate the remainder when 50 is divided by r. 23 Let d = 40 - 36. Suppose 0 = -d*s - 2*r - 26, -2*s + 2*r = 4*r + 16. Let a = 50 + s. Calculate the remainder when 133 is divided by a. 43 Suppose 4*w + 164 = 4*a, 19*a - 22*a + 2*w + 125 = 0. What is the remainder when 386 is divided by a? 42 Let h be (1*-5)/(50/100). What is the remainder when 99 is divided by (-2)/(-5) - 3/h*22? 1 Let c(h) = -h**3 - 29*h**2 + 99*h + 4664. Let b = 115 - -813. Calculate the remainder when b is divided by c(-26). 60 Let x = -3333 + 3456. What is the remainder when x is divided by 54? 15 Let t = 4408 + -4323. Calculate the remainder when 1867 is divided by t. 82 Let v(r) = -3*r**3 - 12*r**2 + 19*r + 17. What is the remainder when v(-10) is divided by 7? 3 Let f(g) = 98*g - 565. What is the remainder when 1217 is divided by f(6)? 21 Suppose 4*k + 4 = h, -2*k + 0*h - 2 = -h. Let q(z) = -z**2 + 27*z - 31. Let o be q(26). Calculate the remainder when 7 is divided by (k - 1)*(5 - (o + 11)). 1 Let g = -19038 - -20563. Calculate the remainder when g is divided by 504. 13 Suppose 0 = -2*i + 4*o + 194, -4*i = -9*i + 4*o + 485. Suppose -2*a - 53 = -g + i, 0 = -4*g - 2*a + 560. Calculate the remainder when g is divided by 18. 16 Suppose 1 + 3 = 2*m. Suppose 81 + 79 = m*z. Calculate the remainder when z is divided by 17. 12 Suppose 156 = s + 2*k, -4*s + 0*s + 616 = 4*k. Let l = -17 + 31. What is the remainder when s is divided by l? 12 Calculate the remainder when (-2)/12 + (43814/9)/(596/447) is divided by 13. 11 Let i(j) = -11*j - 58*j - 8*j + 6. Let h(d) = d**2 + 56*d - 60. Let s be h(-57). What is the remainder when i(s) is divided by 40? 37 Suppose 0 = -4*a + 3*z + 17670, 5*a - 4*z - 8233 = 13854. What is the remainder when a is divided by 201? 198 What is the remainder when 3375 is divided by (-20)/(28/(-266) + (-12)/247)? 125 Let q = 19 - 30. Let j(d) = 7*d + 20. Let y be j(q). What is the remainder when ((-72)/14)/(y/266) is divided by 15? 9 Suppose -289*q - 22792 = -257749. What is the remainder when q is divided by 27? 3 Let h = 34 - -13. Suppose 2*x - x + 5*l = -7, 5*l - 25 = -5*x. Calculate the remainder when h is divided by x. 7 Let b = 26843 - 26012. Calculate the remainder when b is divided by 122. 99 Let z = 11 + 6. Suppose -y + 141 = 3*x, -4*y + 5*x + 495 = -35. Calculate the remainder when y is divided by z. 16 Suppose 0 = -3*z - 3*n - 306, 4 + 96 = -z - 2*n. Let p = z + 451. Calculate the remainder when p is divided by 32. 27 Suppose 4*i + 1 = -2*o + 7, 0 = -2*i + 4*o + 8. What is the remainder when 37 is divided by i/(((-72)/(-28))/9)? 2 Let v(k) = k**2 + 2*k + 20. Let p(u) = 160*u + 2317. What is the remainder when p(-8) is divided by v(0)? 17 Suppose 5*v - n - 18 = 0, 0 = 2*v - 2*n + n - 6. Suppose 16*w + v*w - 940 = 0. What is the remainder when w is divided by 13? 8 Calculate the remainder when 630 is divided by (63/(-147))/((-4)/(1 + 83)). 0 Suppose 2*u + 85 + 1021 = q, -2*u + 5470 = 5*q. What is the remainder when 1147 is divided by q? 51 Let j = 77 + -16. Suppose 0 = -3*o + 3, -j = -3*y + y - o. Suppose -18*h - y = -20*h. What is the remainder when 74 is divided by h? 14 Let i(u) =
{ "pile_set_name": "DM Mathematics" }
. Is k < -42? False Suppose 0 = -5*f + 5, -4*i + 82 = -i + f. Let g be ((-60)/16)/(3 + i/(-8)). Suppose 4*w = 1 + 43. Is g less than w? True Let i = 0.2 - 0.1. Let a be (-8988)/14231 + 244/266. Which is bigger: i or a? a Let h = 2400 + -539999/225. Suppose -2*b - 26 + 6 = -5*t, -13 = -3*t + b. Let f be 0*((-133)/(-21) - t). Which is bigger: h or f? h Let l be 13052/(-699400) + (-4)/(-50). Is -1 smaller than l? True Suppose 2243 = -4*o - 2161. Let a = -40743/37 - o. Let g be 1/(((-6)/15)/(-3 + (-17)/(-5))). Is a not equal to g? True Suppose 0 = 6*v - 193 + 7. Suppose 4*k + 15 = -k, 0 = h + 5*k - 51. Let j = v - h. Are -37 and j non-equal? True Let w = -25 + 91. Let d = -18 - w. Let n = -83 - d. Is 2/3 not equal to n? True Suppose -5617*c + 5665*c = -357024. Which is smaller: c or -7439? -7439 Suppose 5 - 1 = f. Suppose -4*k - 37 = -f*n - 9, 0 = 4*n + 4*k + 4. Let o be (1 - n)*(-2)/(-4). Is o less than 3? True Suppose -20*q = -19*q - 23. Let r be q/72 + (-4)/12. Is -1 > r? False Let z(m) = m**3 + 10*m**2 + 12*m. Let n(l) = -2*l + 13. Let s be n(10). Let h be z(s). Is h < 64? True Let p be (10 + 344/(-36))/(1/9) - 3. Which is smaller: -1/6657 or p? -1/6657 Let f = 172 + -169. Suppose i = -f*a - 12, 5*a = i + 4*a - 4. Which is bigger: i or -31? i Suppose -149*v = 2414 + 3099. Is v != -18? True Let k(g) = -11*g + 60. Let v be k(-2). Let a = -42 - -122. Which is smaller: v or a? a Let l(k) = -k**3 - 16*k**2 - 27*k + 100. Let j be l(-29). Let t be 3/(-12) - (6 + j/(-1888)). Are t and -1 nonequal? True Let u be -1 - -1 - (0 - -2). Let k = 469909 - 4219840/9. Let q = k + -1039. Is q greater than or equal to u? True Let k be (2/2)/((-3)/28044). Let l be 3/4*(-19)/(k/(-8)). Suppose j = 4*q + 4, 4*q + 4 = -0*j + 5*j. Which is greater: q or l? l Let x(i) = -1237*i**3 - 3*i**2 + i + 2. Let l be x(1). Let h = l - -587573/475. Which is bigger: h or -1? h Let w(q) = -2*q**3 + q**2 + 2*q + 5. Let o be w(-2). Let v be (-2238)/o - 2 - (-12)/(-28). Is -108 > v? True Suppose 484 = t - 2*c, -3*t + 5*c + 1473 = 6*c. Suppose 14 + t = 14*v. Which is bigger: 40 or v? 40 Let l be (-1)/1896*1046776/(-138) + (-3 - 1). Is 0 equal to l? False Let m be -204*(3 - (-112)/(-42)). Which is greater: -35 or m? -35 Let n = 13679929/2130 - 12845/2. Let a = 717 - 716. Which is greater: a or n? a Suppose -y = -2*x + 112, x - y - 17 = 37. Which is bigger: 632/11 or x? x Suppose 586*h - 849*h + 68906 = 0. Which is smaller: 280 or h? h Let r be ((-4)/(-14))/(14497/545). Which is smaller: -1 or r? -1 Let v(f) = 80*f - 38*f + 10 - 40*f. Let l be v(-4). Let k = -13 + 15. Is k greater than l? False Let b(k) = 13*k - 3. Let j be b(-10). Let u be (-256)/192 + 395/(-3). Is u <= j? True Let z = -2319 + 1636. Let q = z + 295. Is q bigger than 0? False Let r = 19218/13 + -1478. Suppose 4*a + 9 = -5*z, -3*z - a = 3*a + 7. Is r <= z? False Suppose r - 5*z + 31 = 0, 76 = -4*r + 3*z - 14. Let q = -650 + 651. Which is smaller: q or r? r Let i be (56/(-24))/((-4)/48). Suppose 11 = i*w - 17. Which is smaller: w or -9? -9 Let x be 2/5 + 3154944/(-7879560). Which is smaller: -0.2 or x? -0.2 Let u = -180 - -104. Let y = -60 - u. Let m = -9 + y. Is -4 greater than m? False Let m be ((-1)/(-1))/(35/(-70)). Let d be (680/(-140))/((10/7)/m). Is d less than or equal to 8? True Let x(d) = -d + 14. Let s be x(2). Let q(u) = u**2 - 18*u + 73. Let l be q(s). Are 1/151 and l equal? False Suppose -8*t + 6925 = 24180 + 10641. Which is smaller: -3485 or t? t Let q be -82 - -3*4/3. Let o be ((-2)/(-3))/(q/(-90) - 1). Do -4 and o have the same value? False Let a = -31424 + 18992. Which is smaller: a or 0? a Let n = -830592 - -41533537/50. Let u = 315/4 - n. Which is greater: -1 or u? u Let n = -14.07 - -15.9. Let w = n - -0.17. Which is greater: 9 or w? 9 Suppose 1151 = 2*h - 935. Suppose -21*v + h + 1456 = 0. Which is smaller: 117 or v? 117 Let i be (10 - (-426)/(-36))/((-51)/(-10)). Let y = i - -8/17. Let r = 0 - 1. Is r at least y? False Suppose 4*f - 11 = h, -4*h + 9*h - 17 = -4*f. Let j(p) = p - 6. Let m be j(5). Let q be 10/f*(-75)/(-20)*m. Is q equal to -13? False Let b be (-2)/(-5) + (-45120)/50 - (-2 + 8). Which is smaller: -909 or b? -909 Let h be 16520/(-172)*((-30)/32 - -1) - -6. Which is smaller: 1 or h? h Let f = -5713.48 + 5705. Which is bigger: -1 or f? -1 Let i(w) = -17*w - 211. Suppose -b = -4*p + 14, -3*p = -5 + 2. Let y be i(b). Do y and -49 have different values? True Suppose 0 = 7*r - 16864 + 3949. Is r bigger than 20286/11? True Let r = -16376 - -45710/3. Let w = -1129 - r. Which is smaller: -4 or w? -4 Let s = 2.21 - 2.31. Suppose -2*a - 2*a + 40 = 0. Let p be a*(-4)/(-64)*1. Which is smaller: p or s? s Let d(x) = 2*x**3 - 8*x**2 - 3*x + 18. Let t be d(6). Let k = 138 - t. Which is smaller: k or 5? k Let n(h) = -10*h**2 + 313*h - 351. Let o be n(30). Are -70/11 and o nonequal? True Let s = -545 - -542.361. Let k = s - -2.61. Is k less than or equal to -2? False Let i(t) = t**2 + 24*t + 65. Let h be i(-21). Let g be (2*h/(-290))/(1/105). Which is bigger: g or -1? -1 Let v(s) be the first derivative of 4*s**2 - 49*s - 65. Let x be v(5). Which is smaller: x or 0.8? x Let f(t) = t**3 - 3*t. Let w(r) = -2*r**3 + 5*r. Let c(n) = -5*f(n) - 3*w(n). Let p be c(1). Let j = -5138 + 1114948/217. Do j and p have the same value? False Let t = 20742 + -726058/35. Is -2 less than t? False Let x be (-55)/390*(2 + (-310)/154). Suppose -2*k + 25 = -5*k - 5*l, -10 = 2*l. Is k at most x? True Let a = 44 - 39. Let d = a + -90. Is d bigger than -86? True Let j be ((-247584)/(-6408) - 38) + 2/(-6). Which is greater: j or 0? j Let n be -201 + (-4 + -11 - -23). Let o = 71033/4 + -1475485/84. Let w = n + o. Is w at least -1? True Let i = 832 - 803. Suppose 0 = -3*w + 2*w. Which is bigger: w or i? i Suppose -4*y = 2*s + 8 - 26, 0 = -3*y + 3. Which is smaller: s or 46? s Let p(i) = -i**2 - 5*i - 2. Let w be p(-3). Let j(n) = -n**3 + 4*n**2 + n + 4. Let d be j(w). Suppose -d*v + 34 = -558. Is 73 at least as big as v? False Let n = -0.76 + 0.141. Let v = 0.619 + n. Are -6 and v non-equal? True Let b = 36771/10 + -3681. Suppose 0 = 266*v - 275*v - 27. Is b at most v? True Let b(q) = -3*q - 3. Let m be b(6). Let l = -7653 - -7649. Which is greater: l or m? l Suppose -3*k = -2*d - 5*k - 18, 0 = -3*d - 5*k - 27. Let i be 231/44*(-2)/d. Let o = -611/7 + 87. Which is bigger: i or o? i Suppose -4*r + 11647 = 15*r. Let y = -623 + r. Which is greater: y or -180/19? -180/19 Let s(b) = b**2 + 32*b - 417. Let g be s(10). Is g at most -445? False Let x be (-6235)/43*4/204. Does x = -4? False Suppose -441*w - 28 = 4*i - 437*w, -2*i = -w - 4. Which is smaller: 18/343 or i? i Let f = 124485 + -124488. Suppose 0*r = 2*r + 6. Is f smaller than r? False Let b be (32/(-12) + 3)/(6565/(-30)). Let p = b + -7828/32825. Which is bigger: p or 1/2? 1/2 Let m = 381.66 + -382.66. Let j be ((-14)/5)/((-6)/229). Let g = -107 + j. Is m less than g? True Suppose 4 = 4*c - 3*c. Suppose 5*t + 720 = -3*n, -c*t + n - 593 = -0*t. Let r be ((-8)/3)/(-4) - (-95)/t. Are -1 and r non-equal? True Let f(g) = 2*g**2 + 6*g - 32. Let s(q) = -q**2 - 3*q + 16. Let a(p) = -6*f(p) - 13*s(p). Let v be a(-6). Suppose 2*k + v*k = -8. Is -1 less than or equal to k? False Suppose 0*z - 4*z - 924 = 0. Let v(f) = -f**3 - 20*f**2 - f + 401. Let w be v(-18). Which is bigger: z or w? w Let s(t) = 2*t**2 - 55*t - 2968. Let m be s(0). Is -2968 greater than m? False Let x = -445 - -482.4. Let m = 32 - 29.6. Let h = x - m. Is 1 less than h? True Let i(h) = -h + 48. Let m be i(10). Let t be 2/(0 + -4)*m/(-3173). Suppose 3 = a, 4*a + a - 18 = -3*s. Is t greater than s? False Let i = 0.116 - 0.016. Let l(o) = 0*o - 4*o - 3*o**2 + 4*o**2 - 4. Let c be l(5). Which is greater: i or c? c Suppose 0 = -17*y - 6 - 28. Let q(o) = 30*o**3 + 4*o**2 - 4*o - 12. Let i be q(y). Which is smaller: i or -229? -229 Let r = -0.562 + -60.538. Let v = -60.1 - r. Which is smaller: 5 or v? v Let z be (-51)/(-15) + -3 + (18288/(-210))/12. Which is smaller: z or -1/17? z Let p = -277.8 + 303. Let y = 85 - 60. Let a = p - y. Is a at least as big as 0.07? True Suppose -63 = 618*h - 555*h. Which is greater: h or -1/13950? -1/13950 Let u = 15749 - 17923. Is u greater than -2172? False Suppose -440*i - 653118 + 2350638
{ "pile_set_name": "DM Mathematics" }
156/99 and a. 4125 Let f = 54/5 - 13. Let v = f + -23/60. Let o = -3664 - -29219/8. Find the common denominator of o and v. 24 Suppose 5 - 40 = -7*o. Suppose -o*z - 4*y - 1190 = -3*y, 0 = 5*z - y + 1190. Find the common denominator of -107/22 and 1 + (0 - 1) - (-255)/z. 154 Let m = 5039/1312 - 87/41. What is the common denominator of 107/12 and m? 96 Let s be ((-456)/(-36))/(2/(-24)). Find the common denominator of 45/2 and s/300*3 + 0/1. 50 Let k be ((0 + 1)/(-1))/((-11)/(-11)). Let a be 0 + 1 - (k - 0)*-3. Calculate the lowest common multiple of 11/(-2) + 5 - 19/a and 37. 333 Let y be 6/11 + 2928964/633688. Let j = -1/1137 + y. Calculate the common denominator of j and (4/(-10))/((-48)/1090). 12 Let y(o) = 737*o + 777*o - 1516*o + 4. Let p(f) = -f**2 - 5*f + 5. Let b be p(-6). What is the lowest common multiple of 4 and y(b)? 12 Suppose 3*z = -2*c - 506 + 20850, -27140 = -4*z + c. Let w = z - 352787/52. Calculate the common denominator of w and 1/20. 260 Let i = 76049731/247318800 + 2/618297. What is the common denominator of 31/100 and i? 400 Let u(c) = -3*c**3 - c**2 - 2*c - 3. Suppose -2 = 4*a + 6. Suppose 10*l + 0*l - 300 = 0. What is the least common multiple of l and u(a)? 210 Let o = -75 - -85. Suppose 0 = 5*j + o, -4*a - j = -5*a + 46. What is the smallest common multiple of 36 and a? 396 Suppose 26*y - 6 = 23*y. Suppose s = 2*v - 28, -4*v - 5*s = -y*v - 40. What is the least common multiple of v and 8? 120 Let o = 2/391 - 14864/1173. Let k be 2 + (21275/60 - (-2)/(-8)). Let d = k - 353. Calculate the common denominator of o and d. 3 Let a = 112357 + -68425321/609. What is the common denominator of a and -77/290? 6090 Let a be -4 + (-21)/(-5) + (-16)/5. Let l be ((-1)/(-1))/(-1*a/6). Find the common denominator of -47/12 and l/4*268/12. 12 Let t = 115807 - 66929. Let o = -164718859/3370 + t. Let m = o - 56451/11795. Calculate the common denominator of 71/12 and m. 84 Suppose 17*x - 12*x - 55 = 0. Let j(a) be the third derivative of -a**4/24 + 11*a**2. What is the smallest common multiple of x and j(-1)? 11 Let f(w) = -4*w - 2. Let s be 1/((-2)/(-5))*-4. Let d be f(s). Suppose -46 + d = -y. Calculate the least common multiple of 11 and y. 88 What is the smallest common multiple of (200/140)/(115/27692) and 240? 10320 Find the common denominator of 3/((-29)/(4466/168)) and -87/806. 1612 Suppose 4*f - 3571 = -c, -2*f = -f + c - 889. Let s = -7189/8 + f. Find the common denominator of s and 49/9. 72 Let h = 470 + -476. What is the common denominator of 111/20 and (148/(-80) - -8) + h? 20 Let k = 1285/11 + -94089/814. What is the common denominator of 59/48 and k? 1776 What is the least common multiple of -1 + 1330/(-20)*(-100)/35 and 243? 1701 Suppose -4*a + 4 = 2*t, -t + 3*a = 7*a. Calculate the lowest common multiple of 52 and (-4)/(192/(-2004)) - (-1)/t. 1092 Suppose 4*o = -3*v + 305, v - 37 = 5*o + 33. What is the least common multiple of v and 160? 3040 Let l = 3 - -42. Let b = l + -42. Suppose y - 2*v = 9, -54 = -5*y + b*v - 2*v. What is the least common multiple of 12 and y? 132 Suppose 270 = 2*q - 7*q. Let k(u) = u**3 + 24*u**2 + 57*u - 52. Let i be k(-21). Find the common denominator of i/(-24)*(-3)/q*4 and -115/12. 108 Calculate the common denominator of 9/68 and 121/(-15) + (-56)/42 + -2. 340 Let o = 71128/3 + -379303/16. Find the common denominator of o and 11/(-80) - 2/(-10). 48 Suppose -129 + 138 = 3*g. Suppose -3*w = -r - 36, -g*r = -2*w + r + 34. What is the smallest common multiple of w and 9? 99 Let z(n) be the third derivative of -n**5/20 + n**4/24 - 2*n**3/3 - 6*n**2. Let d be z(2). Calculate the smallest common multiple of 1 and 1/(-3 - d/4). 2 Let t(o) = o**3 + 13*o**2 - 33*o - 13. Let a be -10 - (7 + -6 + (4 - 3)). What is the lowest common multiple of t(a) and 8? 4216 Let n = -127069639/4849479765 - -2/4825353. What is the common denominator of n and -77/45? 3015 Suppose d = -q + 22, 118 = 2*d + 3*d - 3*q. Calculate the common denominator of -20 + d - 10/12 and (-1)/6 + (-41)/33. 66 Let i = 48742 + -10528343/216. Find the common denominator of -50/81 and i. 648 Let j = 199 + -166. Calculate the common denominator of -51/22 and (j/(-90))/(12/(-30)). 132 Let u be (-40 - -8)/(-4) - 4. Suppose u*g - 235 = 205. What is the least common multiple of 22 and g? 110 Suppose -9*w + 5*w - 2*c = 190, 2*w - c = -97. Let a(i) = 5*i**2 + 6*i - 8. Let g be a(-6). Find the common denominator of (g/w)/(5/(-2)) and 29/12. 60 Suppose 8*n = -z + 6*n + 14, -2*n - 40 = -2*z. What is the least common multiple of 3/(z/210)*(-6)/(-5) and 77? 462 Let t(f) = 0*f - 10*f - f + 1266 - 2*f**2 - 1269. Calculate the lowest common multiple of t(-5) and 174. 174 Calculate the common denominator of 3/1196 and (-287)/10*57/(-3059). 5980 Let k = -129 + 131. Find the common denominator of -127/24 and -5 + 246/144*k. 24 Let j(x) = x**2 + 5*x. Let i be j(-5). What is the smallest common multiple of i + 8 - (2 + -2) and 34 + 180/18 + 12? 56 Let g = 8190/31 - 94611035/358112. What is the common denominator of -51/16 and g? 11552 Let x(o) = -77*o - 88. Let z be x(-4). What is the least common multiple of (1*14)/((z/(-33))/(-10)) and 63? 63 Suppose -30 - 14 = -4*q. Suppose 24 = 7*a - 4*a. Let j(s) = 3*s - 14. What is the lowest common multiple of j(a) and q? 110 Let h(u) = u + 20. Let a(g) = -g**3 - 7*g**2 + 5*g + 4. Let s be a(-8). Suppose 6*m - 52 = -s. What is the smallest common multiple of m and h(-12)? 8 Let y = -6070 + 6090. Calculate the lowest common multiple of 2962 and y. 29620 Suppose 4*i = -0*g - 4*g - 104, 4*g + i + 104 = 0. Calculate the least common multiple of 36 and g/(-4)*480/312. 180 Suppose 7*d - 3*d = -5*n + 108, 4*d = -4*n + 88. Suppose -14*h = 6*h - n. What is the smallest common multiple of h and 15? 15 Suppose -i - 3*k = -10, 0 = i + 4*k - 7*k - 10. Suppose 0 = f - 3, -f + i = 4*o + f. Calculate the smallest common multiple of 54*(-6)/(-18) - (10 - 1) and o. 9 Suppose 3*b - 45 = -2*g - 0*g, -51 = -3*b - 4*g. Suppose -b*a + 721 + 293 = 0. What is the lowest common multiple of 15 and a? 390 Let u = -57509/4 - -14398. Find the common denominator of u and 123/6670. 13340 Let x = 15807/4 + -1066963/270. Calculate the common denominator of x and -67/540. 540 Let x = -9/21463 + -1047097/10946130. What is the common denominator of 101/170 and x? 510 Let k = -290 - -168. Find the common denominator of -65/6 and k/4*(-11)/(-429). 78 Calculate the common denominator of ((-137)/222)/((102/(-136))/(6/16)) and -51/407. 4884 Let y be 78*-6*(-3 + 39/12). Calculate the common denominator of 1/2 - (-134)/(-20) and (-298)/20 + y/195. 10 Let d = -186034 - -2417137/13. Let b = d + 189311/1872. Calculate the common denominator of b and -61/18. 144 Let a = 91 + -10. What is the least common multiple of 18/(-24)*-4 + 1 + 1 and a? 405 Find the common denominator of 109/204 and 20/(-30) + 3370/5100 + 12/20. 1020 Suppose -4*h = 3*a - 2, -14 - 20 = -5*a + h. Let r be -3*((-64)/3 - 0). Suppose 9*g - r = 5*g. What is the lowest common multiple of a and g? 48 Let z(a) = 119*a + 4876. Calculate the least common multiple of 40 and z(-40). 1160 What is the lowest common multiple of (1 + 2)*102/306 and 913? 913 Let w = -171 + 173. Suppose w*u = -0*y - y - 5, -50 = -5*y + 5*u. Calculate the least common multiple of y and ((1 - -5) + -8)/((-2)/3). 15 Let n = 37418/43 + -69001501/79292. Find the common denominator of n and 39/5071. 20284 Suppose 5*v - 6155 = -5*r, 5*v - 6296 = -r - 133. What is the common denominator of -37/54 and (3/(-243))/((-6)/v)? 54 Calculate the common denominator of 109/1326 and 430/10*(-22)/528*4/(-91). 9282 Let u be -72*2/((-16)/(-2780)). What is the common denominator of (140/(-3))/(-3 - 3) and ((-2)/(-18))/((-15)/(u/8))? 18 Let c(f) = -f**3 + 21*f**2 - 66*f - 87. What is the lowest common multiple of c(15) and 351? 2457 Let p = 5/86612012 + -161739790881197/5629780780. Let a = p - -28730. What is the common denominator of a and -1/52? 260 Let d(m) = 9*m**2 + m - 16. Let b(i) = 8*i**2 + 2*i - 16. Let w(a) = 6*b(a) - 5*d(a). Let f be w(4). Find the common denominator of 13/18 and (1/f)/(8/496). 90 Calculate the common denominator of (22/55)/((-6)/(-65)) and 1/6*((-30420)/(-2850) + (-18)/(-10)). 114 Let s(m) = m**3 - 3*m**2 - m - 9. Let w be
{ "pile_set_name": "DM Mathematics" }
se 6? -2402300 What is 1101010000110111011111 (base 2) in base 12? 11b8167 Convert 10020222110 (base 3) to base 4. 33222021 What is -122001120012 (base 3) in base 11? -20a288 22143303 (base 5) to base 10 193578 Convert 4305c8 (base 13) to base 10. 1571864 What is -1971bb9 (base 13) in base 14? -117d337 What is -5012005 (base 6) in base 2? -111001011000000101 What is -1304446 (base 8) in base 4? -1120210212 -3423 (base 16) to base 6 -141443 Convert -3b9635 (base 12) to base 16. -f1f49 1b9123 (base 14) to base 7 11242443 What is 21614 (base 15) in base 14? 2a8b0 What is 3120661 (base 9) in base 10? 1667035 Convert 140402230 (base 5) to base 6. 23202312 -165855 (base 16) to base 15 -1ddd70 Convert 5955b (base 12) to base 2. 11101010011010111 1032454203 (base 6) to base 4 222021211323 Convert 34c99 (base 13) to base 7. 551464 Convert -337202 (base 8) to base 4. -123322002 What is -1604484 (base 10) in base 3? -10000111221100 What is 3554412 (base 7) in base 8? 1560004 What is -1867 (base 10) in base 4? -131023 11112222110 (base 3) to base 8 257064 Convert -14254255 (base 6) to base 11. -3048a8 What is 1b6622 (base 16) in base 7? 21156016 101132203 (base 4) to base 10 71587 Convert -307317 (base 8) to base 7. -603440 -15072850 (base 9) to base 13 -1722525 -235360310 (base 7) to base 10 -14653457 What is c50255 (base 13) in base 7? 54042242 What is -2104330 (base 6) in base 10? -102078 What is ab3c51 (base 13) in base 2? 1111011001010011001010 Convert 10143340 (base 5) to base 16. 148fc Convert -12410533 (base 6) to base 15. -803b9 10113414 (base 8) to base 4 20021130030 Convert -102023010 (base 4) to base 10. -74436 What is 1234020201 (base 5) in base 12? 1022b47 What is -453893 (base 10) in base 7? -3600206 What is 3a23cc (base 14) in base 11? 1149607 -1100100001001000010 (base 2) to base 3 -202211122210 Convert -10000100111111101010011 (base 2) to base 14. -816279 What is 613187 (base 14) in base 16? 31f4b3 Convert -78b060 (base 12) to base 3. -10121220001200 Convert -226621 (base 7) to base 14. -10c11 -160523 (base 10) to base 4 -213030023 -73317 (base 11) to base 14 -2ad2d What is -1114002024 (base 5) in base 16? -25e99f 44314 (base 9) to base 13 1050a Convert 10430120 (base 5) to base 13. 33171 Convert -22c4aad (base 14) to base 9. -34223883 What is -14107b (base 12) in base 11? -208702 -111022011100011 (base 3) to base 16 -6bdeb0 Convert -22034610 (base 8) to base 9. -8813804 Convert -3201120213 (base 4) to base 2. -11100001011000100111 Convert -3241216 (base 7) to base 14. -a477d -745455 (base 8) to base 12 -bba65 58a8a0 (base 11) to base 15 137866 Convert 2232301 (base 4) to base 6. 123441 What is -11321130321 (base 4) in base 11? -966622 What is -5a29 (base 14) in base 5? -1000332 What is 3e6899 (base 15) in base 7? 34401540 What is -102001201101 (base 3) in base 13? -78172 Convert -a8856 (base 14) to base 3. -202201100002 Convert -a20427 (base 12) to base 9. -4676044 Convert 1132222030 (base 5) to base 13. 708306 Convert c4a16 (base 16) to base 6. 25132410 Convert -1101110010101001100 (base 2) to base 6. -13404112 What is 135554024 (base 7) in base 8? 42020021 bb7405 (base 15) to base 7 135641123 What is -20150422 (base 7) in base 5? -412113420 What is 39a8208 (base 12) in base 10? 11418920 -6123264 (base 7) to base 16 -b1e64 33321112 (base 6) to base 13 292b53 Convert -222263 (base 9) to base 6. -2503133 What is 10a9005 (base 13) in base 12? 1876031 -6e6e8 (base 15) to base 7 -2665616 What is -42349 (base 11) in base 3? -10010120001 Convert 40081 (base 13) to base 14. 2d95b Convert b33b0 (base 15) to base 9. 1054833 What is -130202122 (base 5) in base 9? -1162267 What is 530262 (base 7) in base 15? 1c120 What is -2001012020 (base 3) in base 6? -510140 Convert -1706041 (base 10) to base 16. -1a0839 14da94c (base 14) to base 10 10209512 Convert 3430142 (base 7) to base 16. 685c1 3220113022 (base 4) to base 12 39a94a What is 12001202011101 (base 3) in base 6? 133405014 Convert -8d0a6 (base 15) to base 12. -197a33 Convert 857d9 (base 14) to base 13. b3ac3 Convert -19856 (base 12) to base 2. -1001001010000010 103230302 (base 4) to base 2 10011101100110010 What is 26652206 (base 7) in base 3? 11122022120012 What is 134223 (base 5) in base 12? 3277 Convert a0993 (base 11) to base 2. 100100000010010001 What is -188350 (base 13) in base 2? -10010110110111001001 79cb2 (base 13) to base 12 a8495 What is 11250310 (base 6) in base 15? 6d4e3 What is 119033 (base 10) in base 4? 131003321 Convert -230011233 (base 4) to base 6. -3512023 Convert -2104331 (base 7) to base 15. -5024b Convert -bc0dd (base 16) to base 6. -24302021 What is 1035315 (base 7) in base 12? 61406 Convert -1e930a (base 16) to base 5. -1003104342 5061852 (base 12) to base 13 3172742 -9b9ac3 (base 14) to base 13 -1132992 -3317353 (base 10) to base 9 -6215487 Convert 334834 (base 16) to base 7. 40365211 -1678242 (base 10) to base 5 -412200432 Convert -3320321123 (base 4) to base 3. -1220210110122 What is 1542213 (base 8) in base 13? 126b5a Convert -221110210011 (base 3) to base 14. -d0a1c Convert 7565644 (base 9) to base 7. 46333303 100110011011011001100 (base 2) to base 8 4633314 What is a27 (base 13) in base 2? 11010111011 -105762 (base 10) to base 9 -171063 1344145 (base 6) to base 13 28838 Convert -553525 (base 7) to base 5. -11103313 Convert ed3f0 (base 16) to base 6. 32454520 Convert 23163366 (base 7) to base 5. 1010014340 10111011011100101 (base 2) to base 3 11212122120 101110001001001101111 (base 2) to base 3 2211211010202 What is 53630 (base 12) in base 10? 109764 What is 101001011000101011 (base 2) in base 7? 1304133 -260457 (base 10) to base 7 -2133231 Convert -8cb739 (base 13) to base 6. -155315522 What is 22011020111 (base 3) in base 10? 160555 305452312 (base 6) to base 4 110100130310 -16147062 (base 9) to base 8 -36602163 Convert 27fa6 (base 16) to base 8. 477646 What is -448a4a (base 12) in base 15? -169064 58256 (base 12) to base 10 117858 -1566403 (base 7) to base 8 -652353 -8573908 (base 11) to base 14 -20097cc -103552245 (base 6) to base 14 -367ba5 37052 (base 13) to base 10 101129 Convert 2611583 (base 9) to base 7. 15053235 Convert 101221001221220 (base 3) to base 8. 26117451 Convert -4641578 (base 9) to base 11. -1462a22 24131311 (base 6) to base 10 758491 What is -2933799 (base 10) in base 5? -1222340144 301344244 (base 5) to base 8 4447515 -101200220112122 (base 3) to base 9 -11626478 Convert -1233220 (base 6) to base 10. -66828 2203252 (base 6) to base 15 2272b 3c6c5c (base 15) to base 13 7aac03 What is -313317 (base 8) in base 15? -20ccd What is -111002111121 (base 3) in base 15? -51554 What is -130232 (base 5) in base 3? -20221200 -2699c2 (base 13) to base 2 -11100100010111101100 What is -122012102010 (base 3) in base 5? -41313211 -223121313333 (base 4) to base 12 -3988713 -1502453 (base 7) to base 16 -3176c What is -9673a9 (base 11) in base 13? -422260 Convert -100001010010100101011 (base 2) to base 3. -2001102101012 What is 1243266 (base 14) in base 12? 2b299a2 Convert 11541451 (base 6) to base 12. 15a887 -2320101330 (base 4) to base 14 -159112 2201210100120 (base 3) to base 13 3bb131 Convert 1054310 (base 6) to base 12. 27396 What is -63763 (base 12) in base 5? -13140213 1001552041 (base 6) to base 16 9b2f39 What is 480215 (base 12) in base 11? 723739 Convert cb520 (base 16) to base 4. 3023110200 Convert a0ad3 (base 15) to base 4. 1330030122 What is 523819 (base 12) in base 3? 2102122021110 Convert -910027 (base 10) to base 2. -11011110001011001011 71464 (base 8) to base 10 29492 -11636773 (base 9) to base 14 -a82bd0 What is 227ac (base 13) in base 6? 1202533 Convert -121210122120 (base 3) to base 7. -2545113 1030023104 (base 5) to base 6 114530550 Convert 26447 (base 9) to base 14. 671d Convert 1000010001 (base 3) to base 12. b531 What is -2044566 (base 8) in base 6? -15350154 What is 111c9 (base 15) in base 16? d48e 64823 (base 12) to base 16 2059b Convert -23605550 (base 9) to base 5. -10422044100 -4293d3 (base 14) to base 11 -12aa185 What is -12343322 (base 6) in base 4? -1202101202 100001101000011 (base 2) to base 9 25552 What is 1100000001101010111001 (base 2) in base 6? 151323121 1490766 (base 12) to base 6 225205010 What is -10156584 (base 9)
{ "pile_set_name": "DM Mathematics" }
Is t greater than or equal to m? False Let p(a) = -6*a**3 - 3*a**2 + a + 1. Let i be p(1). Let f be 386 - (i + 63/9). Which is smaller: -1 or f? -1 Let a be (74 - 2) + (-11 - -8). Suppose -a + 13 = 7*v. Is v greater than -7? False Suppose 3*j = g - 5*g + 6*j - 4, 0 = -4*j. Is -20/403 less than g? False Let f be (-4)/(-12)*-8 + 3. Which is smaller: 1815 or f? f Let y be ((-294)/6)/7 - -502. Let n be (-4)/(-14) - (y/77)/(-9). Is -2/1573 less than or equal to n? True Let w = 14.038 - 14.038. Which is smaller: 2241 or w? w Let h(i) be the first derivative of 17*i + 22 + 1/2*i**2. Let p be h(-15). Which is smaller: p or 3/5? 3/5 Let h(c) = -11*c + 169. Let y be h(15). Suppose j + 0*f + 6 = 4*f, -y = 2*j - 4*f. Let k = 656/5 - 128. Is k less than j? False Let l be (26/(-6) - -4)*-3. Let b(o) = 12*o. Let m be b(l). Suppose 0 = -12*p - 0*p + m. Which is smaller: p or -1/51? -1/51 Let h = 12195 - 12195. Is 1/2274 at least as big as h? True Let c = 1639/1064 + -17/152. Let n(j) = -10*j**2 + j + 1. Let r be n(-1). Let l be r/(-4)*(-10)/(-25). Is c at least l? True Let t(l) be the second derivative of -9*l + 21/2*l**2 + 0 - 2/3*l**3. Let f be t(7). Which is greater: f or -2? -2 Let s be (-144)/3*5/(-4). Suppose -59*b - 31 = -s*b. Let d = -67 + 98. Do d and b have different values? False Suppose -3*j - 5*t - 116 = 0, -9*j - 3*t = -5*j + 162. Let s be (j/(-126))/(-2*1/36). Suppose 7 + 13 = -5*k. Is s at most k? True Let b be (467/(-2))/(7 - (-1336)/(-192)). Is b at least -5603? False Suppose -3 = 5*l - 23. Suppose 0 = -l*b - 3*s - 93, 3*s - 19 - 35 = 3*b. Is -2/15 less than or equal to b? False Suppose -4*p - 2*j - 71 = 63, 0 = 2*j - 10. Let b = 53 + p. Let f = -293 - -307. Is b bigger than f? True Let a = -1102359680/4117 + 267758. Which is bigger: 1 or a? 1 Let f(g) = 11*g**2 - 109*g - 1627. Let d be f(-15). Are 2484 and d unequal? True Let p = -36119/7 - -5140. Suppose 0 = -3*w + 5*u - 42 - 0, -4*u + 83 = -5*w. Do w and p have the same value? False Let z = -720.45 + 716. Let a = z - -4.5. Which is bigger: -0.05 or a? a Let j(w) = -2*w**2 + 180*w + 80. Let y be j(27). Is y at most as big as 3483? True Let r = -4.981 - -5.881. Is r bigger than -333? True Suppose -38 + 26 = -4*h. Let f be -3 - -2 - 3*h/(-12). Let o be (-1)/2 + 4/6. Is o greater than f? True Suppose 10*t + 5*y = 8*t - 59, 64 = -2*t - 4*y. Let v be (8/t)/((-138)/12719). Is v >= 17? True Let d = 7 + -9. Let m be (-10 - (3 + d))*-1. Is 12 at least m? True Suppose -5*c - 13*c = 1512. Let u be (-2)/c*23056/(-165). Let w = -8/63 - u. Is w less than or equal to 1? False Let z = -775 + 777. Suppose 3*y = 8*p - 10*p + 7, -2*p - 2*y = -z. Are -16/5 and p equal? False Suppose 5*w - 56*o - 4900 = -55*o, -3*o = -3*w + 2952. Is w greater than 979? False Let x be (-2)/(-144) - 0/1. Let s(q) = 10*q**2 - 2*q - 5. Let a be s(-1). Suppose -a*h + 12*h + 5 = 0. Which is bigger: x or h? x Let q = 12 + -8. Suppose 0 = -0*n - q*n + 8. Suppose -a - n*r + 10 = -6*a, 2*r = a - 6. Is a < -23/6? True Let p = 386/3 + -5164/15. Which is greater: p or -216? p Let u = 321/4 - 3499/44. Let x = u + -2/33. Is x less than -10/9? False Suppose -7672 = 23*s + 8336. Let l be s - (2 - 10/(-15)*-6). Which is greater: l or -693? -693 Suppose -y + 90 - 94 = 0. Suppose 4*d = g - 22, 62 = 5*g - 0*g - 4*d. Suppose g*u = 7*u. Which is bigger: u or y? u Let r = 143.118 + -0.118. Let x = 102 - r. Let a = -40 - x. Are -1.7 and a unequal? True Suppose -t + v + 6 = 0, 2*t - t = -2*v + 3. Let h be (404/(-6))/((-140)/210). Let s = 106 - h. Is s less than t? False Suppose -3*f = 9, -4*m + 9 + 18 = -f. Let c = 74.483 + 1.817. Let o = -85.3 + c. Is o <= m? True Let x = 37877/75359 - 104/179. Is 1 < x? False Suppose -2*f + 547 = -5*l, -5*f - 82*l = -84*l - 1315. Which is smaller: f or 267? f Let x = 1058 - 1057.9. Let h = -1.08 + 0.6. Let y = h + 44.48. Which is smaller: y or x? x Let t be ((-3168)/(-112))/(-4 - (54/(-14) + 0)). Which is bigger: 1/6 or t? 1/6 Let q = 2.6 + -1.9. Let n = -1.65 + 0.85. Let t = n + q. Which is greater: t or 0.09? 0.09 Let v = -1/6788 - 20359/33940. Which is smaller: v or -31? -31 Let b(h) = -2*h**2 - 5*h - 1. Let u be b(-2). Suppose -5*w = d - u, -3*w + 0 = d + 1. Is w bigger than 2/469? True Let p = -2666 + 2854. Which is smaller: p or 0.16? 0.16 Suppose s - 4*s = -y + 107, s = 2*y - 29. Let f = s + 76. Do f and 39 have different values? False Suppose 0 = -2*w + 6, 5*w = 4*s + 3*w + 2510. Let b = 188 + s. Which is smaller: -439 or b? -439 Let t = 4/167 + 1658/501. Let z = 168005 + -168001. Which is smaller: t or z? t Let x(d) = -70*d - 7278. Let c be x(-134). Is c equal to 2102? True Let y be 605 - 3*16/24. Let z = -590 + y. Which is greater: z or 86/7? z Let c(x) = -10*x**3 + 172*x**2 - 45*x - 17. Let l be c(17). Which is smaller: -1027/5 or l? -1027/5 Let z be (7 - -150183)/(-23) + 21. Is z != -6507? True Suppose -362 - 491 = -3*j + f, -f + 1427 = 5*j. Suppose -70*b + 71*b - 285 = 0. Is b != j? False Let w be (-234)/(-14) + 32/112. Suppose 0 = -42*r - w*r + 4779. Which is greater: 76 or r? r Let t(o) = -113*o - 2833. Let u be t(-57). Is u smaller than 3607? False Let q be ((-32)/28 + 0)*12/(-16). Is -5/4 at least q? False Suppose 0 = c - 5*v - 17, 5*c = 4*c + v + 1. Let u be ((-48)/40)/((-92)/(-30) + c). Is u bigger than 7? False Let i(l) = l**3 - 13*l**2 + 27*l - 21. Let s be i(11). Suppose -3*j = j - 3*c - 113, -3*j - c = -101. Let f = j - s. Is -24/7 < f? True Let h(n) = -86. Let v(q) = 2*q - 258. Let k(p) = -7*h(p) + 2*v(p). Let t be k(-20). Which is smaller: t or -30? -30 Let d = 236/5 + -526/55. Which is smaller: 38 or d? d Suppose -3*w = 3*y - 12, 450 - 461 = -4*y - 3*w. Which is bigger: -6/41 or y? -6/41 Let z be (((-192)/(-42))/(-8))/(2/(-14)). Suppose -39*y + 38*y + z = 0. Suppose -2 = 4*t + 5*u, -u = -y*t + 3*u + 16. Which is greater: t or -1/4? t Let t = -14.46 - -66.91. Let a = -52 + t. Let p = -0.4 + a. Which is smaller: -0.4 or p? -0.4 Let j be (2152/(-2))/((-57)/(-228)). Let n = j + 21012/5. Is -101 < n? False Let n(q) = -5*q + 6. Let w be n(0). Let j be (w/(-18))/(((-532)/(-40))/7). Which is smaller: j or -1? -1 Suppose 4*w = -y - 12, y + 3*w = 2*w - 6. Let f = -145 - -206. Let v = 58 - f. Is v != y? True Let s be 1/(37/(-105) + (-2)/(-5)). Suppose -m = 5*j + s, 3 = m - j - 6. Is m >= 4? True Let a be 70/(-30) + (-631)/(-228). Let d = -6919/532 + a. Is d at least -13? True Let t(b) = -b**3 - 5*b**2 - 6*b**2 - 21 + 5*b + 13*b**2 + 14*b. Let s be t(5). Let h = 362 - 3987/11. Which is greater: h or s? h Let a = -35.64 - -36. Let v = a + -0.305. Let j = -0.055 + v. Which is bigger: j or 0.22? 0.22 Suppose 5*w + g + 0*g = -75, -3*g = -15. Let p = w - -23. Let o(v) = 6*v + 15. Let n be o(p). Is 57 at most as big as n? True Let p = -806 + 302. Let q be 6*(-15)/p*(-12)/(-2). Let a = 9 - 8. Which is smaller: q or a? a Let o = -7359 - -7358. Let u be (-40)/(-12)*(-6)/(-4). Suppose 5*z - 15 = -5*b, 0 = -4*b + 11 + u. Is o at most as big as z? True Let c(o) = 119*o**2 + 1. Let m be c(1). Let x = -58863 + 411199/7. Let g = m + x. Is g < 3? True Let l be (-1)/(-3)*-2*(0 - 3). Let g be -20*((-3)/(-2))/1. Let o be l/3 + 3 + 86/g. Which is smaller: 0 or o? 0 Suppose 0 = 10*y - 15*y + 775. Let u = y - 6353/41. Let b = 182 + -183. Which is bigger: b or u? u Suppose 5*g = 4*g. Let q be (-8944)/2528 - (-84)/24. Is g != q? True Suppose -6*q + 13 = -5. Let n be 2*q + (-13 + 8 - 0). Which is greater: n or 2? 2 Let b = -234035 + 233971. Let k(l) = 16*l - 1. Let d be k(-4). Do b and d have the same value? False Suppose -4*j = -80 - 68. Let l = j + -5. Let u = 76 + -43. Do l and u have the same value? False Let q = -6844 + 7238. Does q = 384? False Suppose -m - 4*f + f = 0, m = -2*f - 4. Let v(u) = -3*u + 15. Let r be v(4). Suppose 7*l + 18 = -r. Which is greater: l or m? l Let z = -7841 - -7842. Is z < -1/4804? False Let c = 68 - 27. Let o = c + -75. Suppose 0 = 4*w + 56 + 80. Is w greater than o? False Let s(c) = -c**3 - 2*c**2 + 9*c + 5. Let w be s(-6). Suppose 38*k + w = 19*k. Suppose 4*m = -11 - 9. Is m greater than or equal to k? True Suppose 2160 = -25*m + 97*m. Is 4 at most as big as m? True Let y = -0.18 - -59.18. Let u = -0.38997 + -1.61003. Which is smaller: u or y? u Suppose -5*b + 65*j - 1265 = 64*j, 5*j =
{ "pile_set_name": "DM Mathematics" }
the closest to 0? (a) 0.3 (b) 2/3 (c) 1/5 (d) 3 c Which is the closest to 0? (a) 5 (b) 1/23 (c) -1 (d) -2/3 b What is the nearest to -11 in -0.2, -5, 2/3, -1/4? -5 Which is the nearest to -2? (a) 0.1 (b) -0.2 (c) -2 c What is the closest to 2/7 in -2, -0.1, 0, -0.21? 0 Which is the closest to -7? (a) 5 (b) 0 (c) 3/5 (d) 2 b What is the closest to 1 in -0.4, 0.4, -31? 0.4 What is the closest to 0.4 in 10, 4, 5, -4? 4 What is the closest to -1 in 3, 10, -1? -1 Which is the closest to 4? (a) 22 (b) 0.3 (c) 1 c Which is the closest to -11? (a) 0.1 (b) -12 (c) -3/8 (d) 0 b What is the closest to -1 in 14, -7, 3? 3 Which is the nearest to 0? (a) 0.1 (b) 2.1 (c) -4 (d) 5/6 a Which is the closest to 6/7? (a) 0.2 (b) 4 (c) -3/7 a Which is the closest to 6? (a) 2 (b) -1/4 (c) 5 (d) -2 c What is the closest to 266.8 in 4, -0.5, 0.5? 4 Which is the closest to 0.2? (a) 9 (b) -1/8 (c) 3 (d) 5 b Which is the nearest to -2/3? (a) -1 (b) 2.9 (c) 0.1 a Which is the nearest to 2? (a) -2/9 (b) 4 (c) -0.2 (d) -0.02 b Which is the nearest to 9? (a) -1/4 (b) -1 (c) -3 (d) 3/4 d What is the closest to 32 in -5, -1/5, 3? 3 Which is the closest to -1? (a) 2/7 (b) -1/42 (c) 2 b Which is the closest to 3? (a) 4 (b) -2 (c) 41 a What is the closest to 3 in 0.5, 3, -0.97? 3 What is the nearest to 0 in 4, -0.5, 0, -28? 0 What is the nearest to 2 in -4, -1/2, -4/3? -1/2 What is the closest to -1/4 in -0.3, -4, 1? -0.3 Which is the nearest to 2? (a) 0 (b) -20 (c) 2 c Which is the nearest to -0.1? (a) -3/2 (b) -1/8 (c) 20 b Which is the nearest to 1/2? (a) -0.4 (b) -4 (c) 25/19 (d) 0 d Which is the closest to -0.46? (a) 0.4 (b) -1 (c) 4 b What is the nearest to 8 in 2/3, 3, 3/2? 3 Which is the nearest to 2/13? (a) 3 (b) 0.5 (c) 5 (d) 0 d Which is the nearest to -2/7? (a) 13 (b) 17/2 (c) -0.4 c What is the closest to -2/53 in 2, 2/23, -1/5, 0? 0 What is the nearest to -0.2 in 0.1, 2, -28? 0.1 Which is the closest to -1? (a) -30 (b) -0.2 (c) -0.4 c Which is the closest to -0.1? (a) -2/3 (b) -2 (c) 0.4 c Which is the nearest to 0? (a) -70 (b) -1/4 (c) -0.2 c Which is the closest to -3/2? (a) 2/9 (b) -8 (c) 3 a Which is the closest to 1? (a) 9 (b) 4 (c) 1/5 (d) 6 c What is the closest to 1/5 in 0.1, 13, -0.5, 1/3? 0.1 Which is the closest to -0.2? (a) -4 (b) 0.3 (c) -2/17 (d) -203 c Which is the nearest to -5? (a) -24 (b) -1 (c) 5 (d) 1 b What is the nearest to -30 in 2/5, 0.2, 1? 0.2 What is the nearest to -1/4 in 2/5, 4/5, -0.1, 5? -0.1 Which is the closest to -1/2? (a) -3/5 (b) -0.04 (c) 2/7 (d) -0.3 a Which is the closest to 2? (a) 2/9 (b) 0.06 (c) -5 a What is the closest to -0.1 in 7, -5/6, -29? -5/6 What is the nearest to -12 in -0.1, -0.5, 1/5, -35? -0.5 What is the closest to 2/13 in -0.1, 0.3, 0.01? 0.01 What is the nearest to -0.4 in -3/5, -1, -99/5, -1/4? -1/4 Which is the nearest to 0.3? (a) -1/2 (b) -0.7 (c) 2/3 (d) -1/3 c What is the nearest to 6 in 0.067, 3/5, 2/11? 3/5 What is the nearest to 2/5 in -1/6, 0.0716, 5? 0.0716 Which is the closest to 0? (a) 1 (b) 113 (c) -2 a Which is the nearest to 1/3? (a) 9/4 (b) -3 (c) 2/13 c Which is the nearest to -1? (a) 28 (b) 3 (c) -2/21 (d) -0.3 d Which is the nearest to 76/5? (a) 1/3 (b) 2/9 (c) -0.3 a What is the closest to 2/7 in 2, 5, 0, -2/3? 0 Which is the closest to 0.1? (a) 3 (b) 49 (c) 0.5 c What is the closest to 0.3 in -1, 2/3, 4? 2/3 What is the nearest to 12 in 2/9, 2/5, -2? 2/5 Which is the closest to 1/41? (a) 0 (b) 2 (c) 3 (d) -0.5 a What is the nearest to 2/7 in -2/7, -2, -1/5, -1/2? -1/5 What is the nearest to -2 in -5, 3, 0.6, 0.06? 0.06 Which is the closest to 0? (a) 6 (b) -17 (c) -1 (d) -2/11 d Which is the closest to 0.1? (a) -2 (b) 0.5 (c) 0.3 c What is the nearest to -7 in 0.4, -2, 0.3, -3/7? -2 Which is the closest to -1/39? (a) -2/11 (b) -2 (c) 3 (d) 2/3 a Which is the closest to 0.1? (a) 0.09 (b) -3 (c) 0 (d) -1 a Which is the nearest to 0? (a) 33 (b) -1/4 (c) -4 b Which is the nearest to -0.1? (a) -10 (b) 81 (c) 5/3 c What is the closest to 0 in 0.3, -4, 0.353? 0.3 What is the closest to 0 in 3/4, -0.03, -1/9, -0.1? -0.03 Which is the closest to -5? (a) 1 (b) -2 (c) 0.5 b What is the closest to 101.6 in -0.3, -2, -4? -0.3 Which is the nearest to 2? (a) 3/2 (b) 1/2 (c) -0.2 (d) 0 a Which is the closest to -1/2? (a) 6/11 (b) 0 (c) 1 b What is the nearest to 2/11 in -1/3, -2, 7, 0? 0 Which is the nearest to 4? (a) -21 (b) -0.4 (c) 3 c Which is the nearest to -0.3? (a) -1 (b) 0.3 (c) 1/4 (d) -0.5 d Which is the closest to -9? (a) 1/2 (b) 28 (c) -1 (d) -0.5 c Which is the nearest to -2/5? (a) -2129 (b) 1/2 (c) 3 b What is the closest to 72 in 3, 2, 0.5, -0.1? 3 What is the closest to 1 in 70, -0.1, 5, -4? -0.1 What is the nearest to 0 in -7/3, 4, 1, 5? 1 Which is the closest to -1? (a) -2/3 (b) -1.1 (c) -2/9 (d) -8 b Which is the closest to 6? (a) 3 (b) 0.2 (c) -0.5 a What is the closest to -2/19 in 1/5, -0.4, 0.11? 0.11 What is the closest to 2 in -2/19, -2, -2/13, -0.72? -2/19 What is the nearest to 1/7 in 0.2, 3/4, -0.2, 2/5? 0.2 What is the closest to -3/286 in 4, 1/2, -1? 1/2 Which is the nearest to 0.1? (a) -2 (b) 2 (c) 12 b Which is the nearest to 0? (a) -9 (b) 0 (c) 11/7 (d) -2 b Which is the closest to 0.05? (a) 137 (b) -3/5 (c) 1 b Which is the nearest to -0.1? (a) 5 (b) -0.035 (c) 0.4 b What is the nearest to -5 in -5, 0.1, -0.14? -5 What is the closest to 7 in -6, 0.1, 2? 2 What is the nearest to -28 in 3/5, 0, 5/8, 0.1? 0 What is the nearest to 0 in 0.3, -5, -1349? 0.3 What is the closest to -2 in -2/9, 38, 2/7? -2/9 What is the nearest to -0.1 in -4, 1, -52.4? 1 Which is the closest to -0.07? (a) -0.06 (b) -0.6 (c) 10 (d) -3 a Which is the nearest to 1? (a) -12 (b) -269 (c) -1 (d) -0.4 d Which is the closest to 1? (a) 0 (b) 4/213 (c) 5 b Which is the nearest to 0.1? (a) -20 (b) -0.37 (c) 0 c What is the nearest to 1/6 in 0.4, -0.1, 2, 0.5? 0.4 What is the nearest to -1/8 in 5, 0.1, -5, 0.3? 0.1 What is the nearest to 6 in 0.1, 2/3, -14? 2/3 What is the nearest to -0.2 in 2, -1, 3/31, -2? 3/31 What is the nearest to 6 in 0.3, 1/4, 10? 10 Which is the closest to -13? (a) 0.08 (b) -0.4 (c) 0.4 b What is the nearest to 1/4 in -4, 0.06, 4, 79? 0.06 What is the nearest to -0.1 in 0, -86, -1.4? 0 Which is the closest to 0.2? (a) -0.4 (b) -592 (c) -2 a What is the nearest to -0.2 in 5, -3/5, 0.3, 52/5? -3/5 What is the nearest to -1 in -0.043, 0, -0.5? -0.5 What is the nearest to 2/3 in -48, -2, 0, 1.13? 1.13 What is the nearest to -0.11 in 0, 0.3, 4, 2? 0 Which is the closest to 0.76? (a) -2 (b) -3 (c) 4 a Which is the nearest to -1? (a) 1 (b) 6 (c) -1/4 c Which is the closest to -3? (a) 2 (b) -0.2 (c) -27 b What is the nearest to 0 in -4/5, 0.03, -0.4, 0? 0 Which is the closest to 0.02? (a) -3 (b) 1/9 (c) -0.2 (d) 1 b Which is the closest to -3/5? (a) 0.1 (b) 1 (c) -0.056 c What is the closest to -2 in -2/3, 5, 2, -71? -2/3 Which is the closest to 0.2? (a) 1 (b) -14/3 (c) 0.4 (d) 3/4 c What is the closest to 12.9 in 0.5, 2/7, -1/5? 0.5 Which is the nearest to -0.1? (a) -2/3 (b) -0.3 (c) 36 (d) -2/47 d What is the closest to -0.1 in -38/3, 0.2, 0.6? 0.2 What is the closest to -3 in -2, 4, 2? -2 Which is the closest to 0.3? (a) 2 (b) 0.3 (c) -1/4 (d) -2/39 b What is the nearest to 4 in -2/3, 5/2, -1/18, -2? 5/2 Which is the nearest to 0? (a) -2 (b) -1/6 (c) -20 (d) 4 b What is the closest to -2 in -0.05, -2, -97? -2 Which is the closest to 1? (a) -2/13 (b) 2 (c) 3/8 (d) 4/9 d Which is the closest to 44? (a) -0.5 (b) 2 (c) -1 b Which is the closest to -3? (a) -2/9 (b) 2 (c) 62 (d) 2/9 a What is the closest to -0.1 in 1, 4, 2/3? 2/3 What is the closest to 1 in -3, -0.2, -2.3? -0.2 What is the nearest to -16 in 0.5, -2/3, 4, 4/9? -2/3 Which is the closest to 0? (a) -2 (b) -5 (c) 1/20 c What is the closest to 1/4 in -20/7, -6, -2/11? -2/11 What is the closest to 1/4 in 4, 2, -1/3, -0.3? -0.3 Which is the nearest to 0.2? (a) 0.02 (b) -0.1 (c) 1.59 (d) -0.4 a What is the closest to 1 in -1, 6, 9? -1 Which is the nearest to -24/5? (a) -5 (
{ "pile_set_name": "DM Mathematics" }
False Let q(j) = 147*j**2 - 32*j + 211. Is q(6) a composite number? True Suppose t - 5 + 3 = 0. Suppose -2*y - 2 = -2*h, t*h = -3*y + h + 17. Suppose -3*z + y*z - 386 = 5*n, -z = 4*n - 377. Is z a prime number? False Suppose -c = -0*c + z - 7, -c - 2*z = -2. Let p be (32/(-6))/(c/(-270)). Let x = 261 - p. Is x prime? False Let f be (-161 + 8)/(3/2). Is f/(-85)*(-2110)/(-4) a composite number? True Let g(u) be the second derivative of -u**3/6 + u**2 + 10*u. Let b be g(2). Suppose -p + 65 = 4*z, b*p + 3*z = p - 72. Is p a composite number? True Suppose 0 = s + 5*n - 159, -2*n + 7*n = 15. Suppose r = -3*z + s + 317, -4*r = -5*z - 1878. Is r a composite number? False Let h = 6500 + -3067. Is h a composite number? False Suppose 3*c + 0*c = -3*o + 21, -5*o + 28 = 4*c. Is 14/(-98) + 21120/c a composite number? True Let q(d) = -7*d + 4. Let v(g) = -1. Let f(x) = q(x) + 2*v(x). Suppose 44 = -60*z + 56*z. Is f(z) a composite number? False Let x be -1 + -4 + 2 - -121. Let d be x - ((2 - 0) + 1). Suppose d = 4*t + 23. Is t composite? False Let p = -418 - -1382. Let t be (-2)/(-3) + (-5181)/9. Let l = t + p. Is l prime? True Let z = 19 + -24. Let u(x) = 7*x**2 + 5*x - 1. Is u(z) a composite number? False Suppose -5111 - 9260 = -7*u. Is u a composite number? False Suppose -5*k + 26115 = -4*m, 4*k - 3828 - 17085 = -m. Is k a prime number? True Suppose -5*h = 2*y - 1843 - 58, 4*y = 5*h + 3817. Is y composite? False Let i(o) = 6*o**2 - 12*o - 8. Let l be i(9). Suppose -5*c + 5*z - 2*z = 917, 2*c + 2*z = -l. Let m = 27 - c. Is m a prime number? True Let h = 390 - 195. Suppose -t = 2*t - h. Is t prime? False Suppose -4*a = -2*b + 1470, 3*b + 0*a - 2205 = -3*a. Let j = 1614 - b. Is j a prime number? False Let t(r) be the first derivative of -r**4/4 - r**3/3 + 2*r**2 + 9*r - 11. Is t(-5) composite? False Suppose -19*p = -w - 14*p + 63382, 0 = -2*w - p + 126753. Is w composite? False Suppose d - 55270 = -5*y + 4*d, d + 33166 = 3*y. Is y a composite number? False Let n = 216 - 138. Suppose -81*x = -n*x - 1791. Is x a prime number? False Let y be ((-148)/4 + -1)*13. Let w = y + 871. Is w a prime number? False Let d be 0/2 + 10/2 + 0. Suppose -3*b - 5*h = -1709, -3*h + 7*h - 2857 = -d*b. Is b prime? False Suppose 4*m - 2*d + 20 = 8, -5*m - 3*d = 4. Let b(s) = -5501*s - 5. Is b(m) composite? True Suppose 8*n + 279 = 5*n. Let i = 118 - n. Is i composite? False Suppose 0 = -2*k - 2*m + 4, -2*k - 6 = -5*k - 2*m. Suppose 0 = i - k*i + 435. Suppose 0 = -2*w - w + i. Is w a prime number? False Suppose -3*n = n - 4*g - 58788, 5*n + 2*g - 73457 = 0. Is n prime? False Suppose 9*b - 32 - 4 = 0. Suppose 0*c = 5*v + b*c - 6819, 0 = 5*v - 2*c - 6813. Is v prime? False Let m(j) = -j**3 - 12*j**2 - 10*j + 1. Let p be m(-10). Let o = 145 + p. Is o a prime number? False Let b be (9 + (2 - 2))*-1. Let q be 2/((12/(-4))/b). Let x(m) = 4*m**2 - 1. Is x(q) a composite number? True Let r be (196/12)/(3/(-108)). Let w = -281 - r. Is w prime? True Suppose -d - 5 = -2*d, -2*d = 4*n - 82. Suppose 2*c - n = c. Suppose 0 = -2*y + m + c, 5*m + 13 = -y - 0*y. Is y a composite number? False Suppose 13248 = 4*v + 2*i, -5*i + 9*i = v - 3321. Is v composite? False Let f = -1155 + 2113. Is f composite? True Is ((-102)/8)/(165/(-148060)) prime? False Suppose 0*z - 32*z = -1280352. Is z a composite number? True Let f = -20 - -26. Let z(t) be the third derivative of -t**6/120 + 2*t**5/15 + t**4/6 - t**3/6 - 5*t**2. Is z(f) composite? True Let q(i) = i**3 + 5*i**2 + 3*i - 1. Let f be q(-4). Suppose -1690 = -5*p + 5*z, 2*z + 143 + 870 = f*p. Is p a composite number? False Suppose 3*h - 4*s + 836 = -212, 4*h + 2*s + 1368 = 0. Let x = h + 2317. Is x a composite number? False Let w = -131 + 246. Suppose -2*j = -1 - 5. Suppose j*m - w = 2*m. Is m composite? True Let x = -9 + -21. Is 2/(-5) + -2*801/x a prime number? True Let y(l) = 2*l - 15. Let t = 23 - 13. Let a be y(t). Suppose q - 79 = 2*c - 0*c, -2*q + 153 = -a*c. Is q a prime number? True Suppose 0 = 4*i - 3*i - 4. Let w = 9 - i. Let k(c) = 6*c - 8. Is k(w) a prime number? False Suppose 0*h = 10*h - 41270. Is h a composite number? False Suppose -42*w - 3*w + 2215845 = 0. Is w prime? False Let x(a) = -a - 16. Let n be x(-19). Suppose -j = -5*v + 1169, 0*j + 944 = 4*v - n*j. Is v a composite number? False Let p(g) = -17*g**3 - 154 - 2*g**2 + 21*g**3 + 155. Suppose 5*i = 15 - 0. Is p(i) prime? False Let o(j) be the first derivative of j**4/4 - 14*j**3/3 - 8*j**2 + 20*j + 2. Let h be o(15). Is 5 - h - 382/(-2) a composite number? False Let v be (-74)/(-9) - (-2)/(-9). Suppose 3*w - v = 1. Suppose t - 158 = -u, -w*t + 155 = -2*t + 2*u. Is t composite? True Let g = 7166 + -2232. Is g prime? False Let p = 1360 - -10541. Is p composite? True Let v be (-3)/((-4)/(-20)*30/(-4)). Suppose -4605 = -n - v*n. Is n prime? False Let u(z) be the third derivative of -1/12*z**4 + 1/12*z**5 + 3*z**2 + 0 + 2*z**3 + 1/120*z**6 + 0*z. Is u(-5) a prime number? False Let g = -3 - -8. Suppose 4*w + 5*f = -8, -w - 2*w - 11 = g*f. Suppose q - w = -0*q. Is q a composite number? False Suppose 0 = -5*m + 2*t + 71258 + 11551, m - 16551 = -5*t. Is m composite? False Let w = 7172 + 565. Is w prime? False Let f = -78 + 115. Let x = f - 26. Let v = x + 8. Is v a prime number? True Let j = -2462 - -10741. Is j a prime number? False Let g = -6820 + 10133. Is g a prime number? True Suppose -4413 = -3*r + 3*f, 0 = r + 2*f + 3*f - 1471. Is r a composite number? False Let o(v) = -v**3 - v**2 + v. Let g(q) = 11*q**2 - 9*q + 3. Suppose -2*r + 2 - 4 = 0. Let m(a) = r*g(a) - 6*o(a). Is m(3) composite? True Let u = 350 - 115. Suppose 4*t - 2*y + 7*y = 976, t - y = u. Is t prime? True Is ((-85)/34)/(1/(-8222)) composite? True Let o(r) = -3*r - 4. Let l = 8 + -10. Let m be o(l). Suppose -282 = -m*k - 4*b, -3*k + 4*b = 41 - 424. Is k a prime number? False Suppose 3*p = -2*p - 5*y + 4580, 4*p + 2*y = 3658. Is p composite? True Let b(d) = 14*d**2 - 5 + 6*d + 17*d**2 - 23*d**2 + d**3. Let i be b(-7). Is 13 + 7 + i*1 composite? True Suppose -4*t = 5*t - 36. Let w be -10*((-10)/4 - -2). Is (t + (w - -4))/1 composite? False Suppose -u = -20 - 4. Suppose 16 = -4*z, 4*w - 5*z = 6*w - u. Is w composite? True Let y be (-2)/((-1)/8*2). Suppose 10*a - y*a - 218 = 0. Is a composite? False Let w = 15818 - 9129. Is w composite? False Suppose -q + 7288 = 5*c + 2518, -5*q - 4800 = -5*c. Is c prime? False Let q = -71 - -7. Let t = q - -290. Is t prime? False Suppose -2*l + 215 = 3*l. Let d = -19 - -22. Suppose -2*x + d*a - l = -419, 2*a + 760 = 4*x. Is x composite? False Let m(n) = 4*n + n**2 + 20 + 0*n**2 + 11*n + 1. Is m(-15) a composite number? True Let w(m) = -7*m - 2. Let l(a) = 20*a + 5. Let g(j) = -6*l(j) - 17*w(j). Let o be g(2). Suppose -5*b = 4*u - 86, -o*b + 36 = -0*u + 2*u. Is b a prime number? False Let p(d) = 3*d**3 - 6*d**2 - 8*d - 3. Let l be p(-3). Let x = l - -237. Is x prime? False Suppose -4077 = -4*h - 2*j + 15375, -2*h + 2*j = -9714. Is h a prime number? True Let n(c) be the first derivative of -7*c**2/2 + 17*c + 1. Let u(q) = q - 2. Let h be u(-12). Is n(h) prime? False Let b(p) = p**3 - 5*p**2. Let z be b(5). Let w(l) = -11*l + z - 29*l + 9. Is w(-7) a prime number? False Suppose 3*w + 0*d = 5*d, -5*w - 5*d = -40. Suppose -6*b - 3195 + 8721 = 0. Suppose -w*n - 3*k = -913, -5*n = k - 0*k - b. Is n a prime number? False Let h(s) = 3*s**2 + 4*s - 13. Let w be h(-3). Suppose -325 + 843 = w*v. Is v composite? True Let f = 49 + 61. Let n(a) = -a**2 + 18*a + 11. Let k be n(8). Suppose 0 = 3*i - f - k. Is i a composite number? False Let h(t) = 487*t**2 + 40*t - 35. Is h(16) a prime number? False Let x(m) = 2*m**3 - 4*m**2 + m + 29917. Is x(0) composite? False Suppose u - 145 = 2*u. Let q = u - -260. Suppose -5*m + 50 = -q. Is m a prime number? False Let b(r) be the second derivative of -r**5/20 + 23*r**4/12 - 17*r**3/6 - 12*r**2 + r - 1. Is b(19) composite? False Let m(v) = 108*v**2 - 13*v + 35. Is m(10) a composite number? True Let d(a) be the third derivative of -323*a**4/12 + 11*a**3/6 + a**2. Is d(-2) prime? True Let n(j) = j**2 - 12*j + 14. Let i be n(11). Suppose t = 5*a - 79 - 45, 3*a - 72 = i*t. Suppose a + 117 = 2*p. Is p prime? True Let z(d) = 21*d**2 - 19*d - 163. Is z(-15) prime? False Let b
{ "pile_set_name": "DM Mathematics" }
5 AM and 2:45 AM? 50 What is 573 minutes after 10:08 AM? 7:41 PM What is 60 minutes before 2:39 AM? 1:39 AM How many minutes are there between 6:59 PM and 1:44 AM? 405 How many minutes are there between 9:15 AM and 7:24 PM? 609 How many minutes are there between 9:05 AM and 1:15 PM? 250 How many minutes are there between 9:51 PM and 12:37 AM? 166 How many minutes are there between 5:35 AM and 8:26 AM? 171 How many minutes are there between 10:30 AM and 6:24 PM? 474 How many minutes are there between 2:12 AM and 11:53 AM? 581 What is 591 minutes after 6:41 AM? 4:32 PM How many minutes are there between 3:09 AM and 8:24 AM? 315 What is 355 minutes after 6:00 AM? 11:55 AM What is 342 minutes after 5:12 AM? 10:54 AM What is 667 minutes after 5:51 PM? 4:58 AM How many minutes are there between 4:07 PM and 1:10 AM? 543 What is 491 minutes before 9:34 AM? 1:23 AM How many minutes are there between 8:42 AM and 3:51 PM? 429 What is 655 minutes after 5:05 PM? 4:00 AM What is 385 minutes after 3:08 AM? 9:33 AM What is 142 minutes before 4:54 AM? 2:32 AM How many minutes are there between 12:27 AM and 12:13 PM? 706 What is 152 minutes before 4:52 AM? 2:20 AM How many minutes are there between 4:25 AM and 1:49 PM? 564 How many minutes are there between 5:51 PM and 5:22 AM? 691 How many minutes are there between 4:08 AM and 12:29 PM? 501 How many minutes are there between 9:07 PM and 4:16 AM? 429 How many minutes are there between 6:40 AM and 7:16 AM? 36 How many minutes are there between 8:53 PM and 3:34 AM? 401 How many minutes are there between 7:00 PM and 2:08 AM? 428 What is 2 minutes before 10:51 AM? 10:49 AM How many minutes are there between 5:56 AM and 4:42 PM? 646 How many minutes are there between 10:59 AM and 6:32 PM? 453 What is 410 minutes before 4:58 AM? 10:08 PM How many minutes are there between 8:19 PM and 7:21 AM? 662 How many minutes are there between 9:06 AM and 1:20 PM? 254 What is 525 minutes after 3:18 AM? 12:03 PM What is 14 minutes after 5:41 PM? 5:55 PM How many minutes are there between 11:24 AM and 6:34 PM? 430 What is 130 minutes before 6:07 AM? 3:57 AM How many minutes are there between 4:11 PM and 10:23 PM? 372 How many minutes are there between 2:53 AM and 3:26 AM? 33 How many minutes are there between 5:18 AM and 4:28 PM? 670 How many minutes are there between 3:05 PM and 5:29 PM? 144 How many minutes are there between 8:49 AM and 4:59 PM? 490 What is 706 minutes before 10:26 AM? 10:40 PM How many minutes are there between 5:15 PM and 3:43 AM? 628 What is 181 minutes after 2:33 AM? 5:34 AM How many minutes are there between 8:08 PM and 5:11 AM? 543 What is 630 minutes before 4:40 PM? 6:10 AM What is 445 minutes before 10:44 PM? 3:19 PM How many minutes are there between 9:05 AM and 8:34 PM? 689 What is 91 minutes before 12:05 PM? 10:34 AM What is 675 minutes after 9:50 AM? 9:05 PM How many minutes are there between 6:09 AM and 8:47 AM? 158 What is 708 minutes after 5:18 PM? 5:06 AM How many minutes are there between 10:11 PM and 4:25 AM? 374 How many minutes are there between 8:01 AM and 4:24 PM? 503 What is 689 minutes after 5:39 PM? 5:08 AM How many minutes are there between 10:24 AM and 12:34 PM? 130 How many minutes are there between 5:23 AM and 1:31 PM? 488 How many minutes are there between 1:18 PM and 12:49 AM? 691 How many minutes are there between 4:27 AM and 5:18 AM? 51 What is 342 minutes before 2:14 PM? 8:32 AM How many minutes are there between 1:59 AM and 9:42 AM? 463 How many minutes are there between 11:23 PM and 12:39 AM? 76 How many minutes are there between 5:14 PM and 6:36 PM? 82 What is 20 minutes before 7:59 AM? 7:39 AM What is 457 minutes after 8:17 AM? 3:54 PM What is 71 minutes before 1:16 PM? 12:05 PM What is 127 minutes after 4:29 AM? 6:36 AM How many minutes are there between 5:42 PM and 8:47 PM? 185 What is 627 minutes after 6:34 PM? 5:01 AM What is 672 minutes after 8:22 PM? 7:34 AM How many minutes are there between 1:33 AM and 3:05 AM? 92 What is 474 minutes before 8:15 PM? 12:21 PM What is 101 minutes after 3:38 AM? 5:19 AM How many minutes are there between 5:32 PM and 12:41 AM? 429 What is 367 minutes after 3:47 AM? 9:54 AM How many minutes are there between 6:26 AM and 9:21 AM? 175 What is 677 minutes before 6:15 PM? 6:58 AM How many minutes are there between 12:53 AM and 1:18 AM? 25 What is 56 minutes before 11:29 AM? 10:33 AM How many minutes are there between 4:08 PM and 4:33 PM? 25 What is 458 minutes before 12:02 AM? 4:24 PM How many minutes are there between 8:09 AM and 10:16 AM? 127 How many minutes are there between 3:36 PM and 1:20 AM? 584 What is 699 minutes after 9:43 AM? 9:22 PM What is 376 minutes after 1:25 PM? 7:41 PM What is 655 minutes after 4:04 PM? 2:59 AM What is 250 minutes before 2:10 AM? 10:00 PM How many minutes are there between 8:02 AM and 3:39 PM? 457 How many minutes are there between 11:09 AM and 1:44 PM? 155 What is 697 minutes before 10:31 AM? 10:54 PM What is 491 minutes before 6:26 AM? 10:15 PM How many minutes are there between 2:07 PM and 1:17 AM? 670 How many minutes are there between 1:00 PM and 2:47 PM? 107 How many minutes are there between 10:37 PM and 5:02 AM? 385 How many minutes are there between 9:52 AM and 5:39 PM? 467 How many minutes are there between 9:39 AM and 6:59 PM? 560 What is 323 minutes after 3:15 AM? 8:38 AM What is 310 minutes before 12:51 PM? 7:41 AM What is 128 minutes after 2:40 PM? 4:48 PM What is 524 minutes after 1:49 AM? 10:33 AM What is 514 minutes after 12:41 PM? 9:15 PM How many minutes are there between 10:29 AM and 10:38 AM? 9 What is 420 minutes after 12:54 AM? 7:54 AM What is 318 minutes before 4:51 PM? 11:33 AM What is 51 minutes after 4:50 AM? 5:41 AM How many minutes are there between 1:13 PM and 1:08 AM? 715 How many minutes are there between 4:30 AM and 9:55 AM? 325 What is 463 minutes after 11:23 PM? 7:06 AM What is 490 minutes after 11:16 AM? 7:26 PM How many minutes are there between 5:46 AM and 4:46 PM? 660 What is 62 minutes after 1:35 AM? 2:37 AM What is 631 minutes after 4:38 AM? 3:09 PM How many minutes are there between 9:31 PM and 10:21 PM? 50 What is 149 minutes before 7:47 AM? 5:18 AM What is 104 minutes after 3:48 PM? 5:32 PM How many minutes are there between 10:30 PM and 7:28 AM? 538 What is 667 minutes before 2:10 PM? 3:03 AM How many minutes are there between 7:22 PM and 11:25 PM? 243 What is 636 minutes after 11:19 PM? 9:55 AM What is 327 minutes before 1:18 AM? 7:51 PM How many minutes are there between 8:04 AM and 8:40 AM? 36 How many minutes are there between 5:52 AM and 8:43 AM? 171 What is 430 minutes after 1:52 AM? 9:02 AM How many minutes are there between 5:57 AM and 1:43 PM? 466 What is 211 minutes before 6:22 PM? 2:51 PM What is 186 minutes after 10:49 PM? 1:55 AM How many minutes are there between 9:34 PM and 2:23 AM? 289 How many minutes are there between 5:37 AM and 12:08 PM? 391 What is 618 minutes before 11:29 AM? 1:11 AM What is 456 minutes before 3:35 AM? 7:59 PM What is 669 minutes before 1:54 PM? 2:45 AM What is 697 minutes after 5:03 AM? 4:40 PM How many minutes are there between 3:30 AM and 4:59 AM? 89 How many minutes are there between 3:00 AM and 2:44 PM? 704 How many minutes are there between 5:46 AM and 10:11 AM? 265 What is 89 minutes before 8:28 PM? 6:59 PM What is 202 minutes before 12:39 PM? 9:17 AM What is 103 minutes after 3:25 PM? 5:08 PM How many minutes are there between 1:33 AM and 4:47 AM? 194 What is 313 minutes before 8:56 AM? 3:43 AM How many minutes are there between 1:22 AM and 5:47 AM? 265 What is 391 minutes before 3:44 PM? 9:13 AM What is 154 minutes after 8:00 AM? 10:34 AM What is 97 minutes before 1:51 AM? 12:14 AM What is 321 minutes before 5:43 AM? 12:22 AM How many minutes are there between 1:54 AM and 1:44 PM? 710 How many minutes are there between 9:51 PM and 10:02 PM? 11 How many minutes are there between 8:58 PM and 9:34 PM? 36 What is 33 minutes after 6:24 PM? 6:57 PM What is 111 minutes before 5:51 AM? 4:00 AM How many minutes are there between 9:24 PM and 2:13 AM? 289 How many minutes are there between 7:59 AM and 11:10 AM? 191 What is 532 minutes after 1:41 AM? 10:33 AM What is 98 minutes after 9:50 AM? 11:28 AM How many minutes are t
{ "pile_set_name": "DM Mathematics" }
e (-3 - (1 + 1))/(-1). Suppose t + 2 = -3*p, -x*p = -3*t - 3 + 25. Suppose 15 = 3*o, -o - 7 = -t*l - 0. Which is bigger: l or 4? 4 Let b = -42 - -708/17. Which is bigger: 0 or b? 0 Let o be (-3 + (-1360)/(-469))*-3. Let t = o + -1/67. Let h = 2 + -1. Is h > t? True Suppose 0*g = 4*g - 4. Let v(u) = u**2 - 6*u - 3. Let p be v(6). Which is smaller: p or g? p Let u be 19/7 + 2/7. Let f be 1/u - 10/12. Suppose 0*j - 2 = 2*j. Is f < j? False Let o = -4.2 - -4. Suppose 5*r = -2*j - 6, -5*r + 5*j + 4 + 11 = 0. Is o < r? True Let c = -22 + 33. Which is smaller: 9 or c? 9 Let l be 0 + 1 - (3 + -3). Suppose -w = 3 - l. Let p be w/(-5)*5/(-6). Are p and -1 unequal? True Let q = -118 + 828/7. Let n be 1/5*-7 - -2. Which is bigger: q or n? n Let l(c) = c**3 + 3*c**2 + 2*c + 3. Let j be l(-3). Let a be ((-2)/j)/((-56)/(-21)). Which is greater: -1 or a? a Suppose -14 = -4*w + 2. Suppose 0*h = -2*h + 5*t, t = -w*h. Let m = 1 + h. Which is smaller: 3 or m? m Let y be -2*((-3)/(-18))/1. Let t be (-4)/16 + 1/2. Is y greater than t? False Let h = 21.075 - -0.025. Let v = -20 + h. Let u = 1 - v. Is 1 smaller than u? False Let r(u) = -2*u + 0 + 2 - 1. Let m be r(-1). Is m > 1? True Let z(s) = s. Let y(f) = -5*f + 6. Let n(i) = y(i) + 6*z(i). Let w be n(-7). Let b be 0 + 0 + (-8)/28. Are w and b nonequal? True Let p(h) = -h**3 + 6*h**2 - 9*h + 21. Let y be p(5). Are -2/287 and y equal? False Let u be 5/8*2*(-630)/(-50). Is 16 less than u? False Suppose -2*z = 5*n + 56, 4*n + 47 - 159 = 4*z. Which is greater: z or -27? -27 Suppose 5*v + 7 - 2 = 0. Does v = -1? True Let d = 24422/22407 - -2/2037. Is 2 less than or equal to d? False Let d = -17 + 30. Which is smaller: d or 12? 12 Let o be 2 - ((3 - 2) + -2). Let n be -1 - (2 - o - 1). Let j = 2 - n. Is 0 greater than j? False Let m = -3 - -1. Let o = 6 - 4. Let c be (0 + -2)/(o + 2). Is m greater than or equal to c? False Let w be ((-10)/(-25))/(14/(-10)). Let h(s) = -s**2 + s. Suppose g = -1 + 2. Let o be h(g). Is o at most as big as w? False Let m = -4 + 2. Suppose -a = -6*a + 15. Suppose -2 = -d + 3*x, a*x + 1 = 2*x. Which is greater: m or d? d Let a = 0.04 - 0.14. Is -16 less than a? True Let y = 51 - 52.8. Which is smaller: -1 or y? y Suppose 6*o + 24 = 2*o. Let i be (4/(-3))/(o/(-9)). Which is smaller: -3 or i? -3 Let c be ((-25)/(-2))/((-1)/4). Let y be 10/(-8)*(-4)/c. Which is bigger: 1 or y? 1 Suppose 3*a - 11*a - 224 = 0. Does a = -1/4? False Let u = -13 - -14. Is u at most -1/6? False Let c be -2 + (-27)/(-6) + -1. Let m = -8 + 10. Which is smaller: m or c? c Let j(u) be the third derivative of -u**6/120 + u**5/10 - u**4/24 - 7*u**3/6 - u**2. Let v be j(6). Is -14 at most v? True Suppose -4*x - 16 + 4 = 0. Which is bigger: x or 0? 0 Let p(w) = w**2 + 7*w. Let t be p(-7). Which is greater: 0.01 or t? 0.01 Let w = -6 - -10. Suppose w*x = 2*k - 78, -2*x = -2*k + 72 + 12. Suppose 5*o + 0*u = -5*u - k, -5*u - 25 = 0. Is -3 >= o? True Let k be -1*(-1 + 36/30). Suppose 4*f - 12 - 8 = 0. Let i(c) = c**3 - 5*c**2 - c + 4. Let s be i(f). Which is greater: k or s? k Suppose 0 = -n - 10 - 5. Let q = n - -43/3. Is 9 greater than q? True Let d(y) = -5*y**2 - 1. Let u be d(-1). Let m be 7 + u + (-3 - -6). Suppose 4 = 4*p - m. Are 2 and p unequal? False Let l be ((-2)/(-5))/((-5)/(-50)). Is l < 6? True Let l = -4 + 6. Let u be l/(-1)*(-2)/4. Let b(v) = v + 5. Let y be b(-4). Are y and u unequal? False Let t = 8 - 7. Is 4/13 at most as big as t? True Suppose 0 = -52*y + 56*y - 44. Is 88/9 bigger than y? False Suppose -34*d = -36*d - 10. Let q(z) = -2*z**3 + 3*z**2 - z + 1. Let l be q(2). Is d less than l? False Let z = 8727/29 - 301. Let d(b) = -b**2 + 9*b - 7. Let l be d(8). Are z and l nonequal? True Suppose -3*u + u - 2 = h, -2*u - 2*h - 4 = 0. Suppose -4*t + x = 3*x, 2*t + 3*x = u. Suppose -4 = 5*j + a - 0*a, 2*a + 8 = 0. Is t not equal to j? False Let m be (-1 - -1) + (-1)/6. Let a be (62/10)/((-6)/15). Let v = a + 15. Are m and v nonequal? True Let d be (-1)/3 - 4/(-9). Suppose 6*g = g + 80. Let p be (-12)/g + 1/(-4). Is d at most as big as p? False Let u be (-1)/(-7)*(-1)/(-7). Is 0 less than or equal to u? True Let j be (2 - 0) + 2/2. Suppose 0 = 8*w - j*w. Let a = 540/7 + -77. Which is smaller: w or a? w Let c = 0.6 - 0.7. Let h = 7.9 - 7. Let y = h + 0.1. Which is bigger: c or y? y Let b = -14 - -14. Which is smaller: b or 22? b Let u = 0 + -0.1. Let o = -2 - -0.8. Let k = o - -0.2. Which is bigger: u or k? u Let x be (-8)/(-20) + (-1)/65. Let r = x - 2/39. Are 0 and r equal? False Let x = 40/7 + -6. Let v = 34 - 33.6. Do v and x have different values? True Suppose -19*p = -4*p - 810. Which is smaller: 56 or p? p Let q be ((-8)/6)/((-2)/(-3)). Is -4 greater than or equal to q? False Let n be (1/2)/(2/4). Suppose -6*f + f - 15 = 0, 2*f = 4*z - 10. Is n <= z? True Let z be 36/46*((-30)/(-18) + -1). Which is bigger: z or 1? 1 Let r = -0.3 + 0.1. Let n = -2.4 + 0.4. Is n at least as big as r? False Suppose 4*k = 10 + 2. Let j be (k/(-14))/(9/24). Which is bigger: -1 or j? j Let d(q) = q**2 - 9*q + 2. Suppose 7*x + 3*f - 28 = 2*x, -4*f - 24 = -x. Let l be d(x). Let h be (12/16)/(l/2). Is h less than or equal to -1/8? True Let p(f) = f + 14. Let l be p(-12). Let o be 6*8/21 - l. Is o less than or equal to 7/4? True Let u = 18 + -13. Let s(p) = 2 - 4 - 6*p + 5*p - 4. Let k be s(-11). Is k at most u? True Let z = 0 - -0.1. Let d = z - 0.1. Let h be (5 - 3)/(2 + (-3)/(-3)). Is d >= h? False Let y be ((-45)/(-27))/(4/(-6)) + 3. Let j be 0 - (-1 + (-11)/(-5)). Which is bigger: y or j? y Let c = 0.9 + -4.9. Let m = 4.2 + c. Is -1 greater than m? False Let b be 1 + 11/(11/6). Which is bigger: 8 or b? 8 Let f = 0 + 0.1. Let a be (-216)/(-462) - 4/14. Which is smaller: a or f? f Let b(h) be the third derivative of h**5/60 + h**4/8 - 5*h**3/6 + 2*h**2. Let a be b(-4). Which is smaller: -2 or a? -2 Let x(p) = -p**3 + 6*p**2 + 6*p + 6. Let q be x(7). Which is bigger: q or -2? q Let k = -6 - -4. Let i = 0 - 0.1. Which is bigger: i or k? i Suppose 17 = -g + 58. Which is smaller: g or 40? 40 Suppose 0 = -6*a + 11 + 25. Which is greater: -0.1 or a? a Let d = 31 - 34. Which is smaller: d or 6? d Let i = -14223/25 + 569. Which is smaller: i or 0? 0 Let y = -5 - -5. Let v = y - 0.2. Let k = 16 + -31/2. Which is greater: v or k? k Let q = 0.06 - 0.26. Let p = 0.17 + q. Is p > 1? False Let z = 0.5 - 1.5. Let i = 4 - 4. Let v = i + -1. Is v >= z? True Let b be (-57)/(-38)*((-2)/12 - 0). Is b <= -7? False Let a = -299.7 + 287. Let k = 13 + a. Let b be ((-2)/(-6))/(1 - 0). Which is bigger: k or b? b Let h(j) = j**2 - 4*j - 7. Let q be h(5). Which is greater: q or -7/6? -7/6 Let s be (-7)/((3 - -1)/8). Which is greater: s or -6? -6 Let l = -7.8 - -8. Which is greater: l or 0.1? l Let s = 17295/16 - 191297/240. Suppose -9*k + 1420 = -4*k. Let u = s - k. Is 0 <= u? False Let s(d) = d + 2. Let l be s(-2). Which is smaller: l or -1? -1 Let q = -100.97 + 102. Let z = -0.03 + q. Let f = 0.1 + -0.2. Which is smaller: f or z? f Let m = 7 + -7. Which is bigger: -2/15 or m? m Let o(k) = k**2 + 12*k. Let l be o(-9). Let x be (l/12)/((-3)/8). Is 7 greater than or equal to x? True Suppose 1 = q - 6. Let n be q - 4 - (-1 - -2). Suppose s = -5*i - 8 + 2, 3 = n*i - 5*s. Which is smaller: -5/4 or i? -5/4 Let j(u) = -u**3 - 5*u**2. Let k be j(-5). Suppose 8 = -5*t + 9*t. Which is bigger: t or k? t Let p(b) = b - 10. Let l be p(7). Let z = 0.4 + -0.3. Is z > l? True Let x = 17/40 - 1/40. Which is smaller: -3/20 or x? -3/20 Let s = -7025967937/1287 + 5459182. Let d = 4/429 - s. Which is greater: d or 2? 2 Let a be -4*(-5)/((-40)/(-6)). Suppose 0 - a = v. Does -2 = v? False Let a be 6/10 - (-2382)/5. Suppose 3*f - 93 = a. Let v = f - 1332/7. Is v bigger than 2/9? False Let y(k) = k**3 - 3*k**2 + 3*k - 2. Let v be y(2). Suppose b + 1 = -v. Suppose -2*s + 3*s + 3 = 0. Is b > s? True Let a(y) = y**3 - 4*y**2 - 4*y - 4. Let r be a(5). Let q be (r/4)/(7/28). Let f = -256 + 1284/5. Are q and f nonequal? True Let q = -7.95 + -0.05. Let t = -5 + 10. Let s = t + q. Is -1/4 less than s? False Suppose s + s = 0. Suppose -3*v + 7 = 4*j, 7*j - 4*j + 6 = s. Do 5 and v have different values? False Let q(u) = -u**3 + 6*u**2 + 11*u - 10. Let c be q(7). Let t be 4/1*3/c. Do 1 an
{ "pile_set_name": "DM Mathematics" }
eighth root of 21100 to the nearest integer? 3 What is 1656145 to the power of 1/2, to the nearest integer? 1287 What is the cube root of 12435382 to the nearest integer? 232 What is the square root of 1964456 to the nearest integer? 1402 What is the square root of 1685369 to the nearest integer? 1298 What is the ninth root of 335490 to the nearest integer? 4 What is 2780032 to the power of 1/3, to the nearest integer? 141 What is the third root of 1590850 to the nearest integer? 117 What is the third root of 4894504 to the nearest integer? 170 What is 11675311 to the power of 1/5, to the nearest integer? 26 What is the square root of 823944 to the nearest integer? 908 What is 3379513 to the power of 1/2, to the nearest integer? 1838 What is 355642 to the power of 1/4, to the nearest integer? 24 What is the square root of 707401 to the nearest integer? 841 What is 753998 to the power of 1/5, to the nearest integer? 15 What is 10264436 to the power of 1/3, to the nearest integer? 217 What is 816910 to the power of 1/2, to the nearest integer? 904 What is 343908 to the power of 1/2, to the nearest integer? 586 What is 3303490 to the power of 1/9, to the nearest integer? 5 What is 582768 to the power of 1/5, to the nearest integer? 14 What is the square root of 12971405 to the nearest integer? 3602 What is the square root of 303797 to the nearest integer? 551 What is the ninth root of 2140552 to the nearest integer? 5 What is the third root of 993047 to the nearest integer? 100 What is the third root of 996071 to the nearest integer? 100 What is the seventh root of 128119 to the nearest integer? 5 What is the cube root of 99077 to the nearest integer? 46 What is the cube root of 9459856 to the nearest integer? 211 What is the ninth root of 6498165 to the nearest integer? 6 What is the tenth root of 14804 to the nearest integer? 3 What is the tenth root of 1644798 to the nearest integer? 4 What is the third root of 28593100 to the nearest integer? 306 What is 6297032 to the power of 1/3, to the nearest integer? 185 What is the fourth root of 496158 to the nearest integer? 27 What is the tenth root of 25894041 to the nearest integer? 6 What is 59973 to the power of 1/2, to the nearest integer? 245 What is 8135987 to the power of 1/2, to the nearest integer? 2852 What is 5502172 to the power of 1/6, to the nearest integer? 13 What is the tenth root of 13652729 to the nearest integer? 5 What is the fifth root of 26688693 to the nearest integer? 31 What is 4703048 to the power of 1/2, to the nearest integer? 2169 What is 30084838 to the power of 1/3, to the nearest integer? 311 What is the fifth root of 828008 to the nearest integer? 15 What is 197819 to the power of 1/10, to the nearest integer? 3 What is the cube root of 979795 to the nearest integer? 99 What is 8731523 to the power of 1/2, to the nearest integer? 2955 What is the cube root of 1820411 to the nearest integer? 122 What is the tenth root of 411583 to the nearest integer? 4 What is the fourth root of 10716337 to the nearest integer? 57 What is the cube root of 1647407 to the nearest integer? 118 What is 6620401 to the power of 1/2, to the nearest integer? 2573 What is 157927 to the power of 1/3, to the nearest integer? 54 What is the cube root of 501289 to the nearest integer? 79 What is the ninth root of 316669 to the nearest integer? 4 What is the third root of 927832 to the nearest integer? 98 What is 265869 to the power of 1/9, to the nearest integer? 4 What is 255446 to the power of 1/2, to the nearest integer? 505 What is the fifth root of 400128 to the nearest integer? 13 What is the eighth root of 3343534 to the nearest integer? 7 What is 554352 to the power of 1/3, to the nearest integer? 82 What is the cube root of 52200 to the nearest integer? 37 What is the third root of 1408727 to the nearest integer? 112 What is the square root of 18704972 to the nearest integer? 4325 What is 2467011 to the power of 1/2, to the nearest integer? 1571 What is the sixth root of 1915808 to the nearest integer? 11 What is the cube root of 6692592 to the nearest integer? 188 What is the fourth root of 441976 to the nearest integer? 26 What is the cube root of 23006713 to the nearest integer? 284 What is the ninth root of 980631 to the nearest integer? 5 What is 999486 to the power of 1/4, to the nearest integer? 32 What is 176951 to the power of 1/3, to the nearest integer? 56 What is the cube root of 5038066 to the nearest integer? 171 What is 18317228 to the power of 1/3, to the nearest integer? 264 What is 1436674 to the power of 1/3, to the nearest integer? 113 What is the ninth root of 3903376 to the nearest integer? 5 What is the square root of 1325682 to the nearest integer? 1151 What is 18070710 to the power of 1/3, to the nearest integer? 262 What is the third root of 1261991 to the nearest integer? 108 What is the fourth root of 2224816 to the nearest integer? 39 What is 1898096 to the power of 1/3, to the nearest integer? 124 What is the cube root of 6986909 to the nearest integer? 191 What is the fifth root of 660918 to the nearest integer? 15 What is 1937522 to the power of 1/2, to the nearest integer? 1392 What is 59276 to the power of 1/8, to the nearest integer? 4 What is 752965 to the power of 1/3, to the nearest integer? 91 What is 7554231 to the power of 1/10, to the nearest integer? 5 What is 10273959 to the power of 1/3, to the nearest integer? 217 What is the cube root of 18542698 to the nearest integer? 265 What is the square root of 13096277 to the nearest integer? 3619 What is the tenth root of 300507 to the nearest integer? 4 What is the third root of 288310 to the nearest integer? 66 What is 2316843 to the power of 1/7, to the nearest integer? 8 What is 84148 to the power of 1/7, to the nearest integer? 5 What is the ninth root of 3017038 to the nearest integer? 5 What is the seventh root of 745076 to the nearest integer? 7 What is the square root of 20095117 to the nearest integer? 4483 What is 260654 to the power of 1/6, to the nearest integer? 8 What is the cube root of 22194944 to the nearest integer? 281 What is 3250099 to the power of 1/2, to the nearest integer? 1803 What is 2888005 to the power of 1/3, to the nearest integer? 142 What is 1321085 to the power of 1/2, to the nearest integer? 1149 What is 248791 to the power of 1/3, to the nearest integer? 63 What is the third root of 4866433 to the nearest integer? 169 What is 19832790 to the power of 1/3, to the nearest integer? 271 What is 189417 to the power of 1/9, to the nearest integer? 4 What is the seventh root of 89288 to the nearest integer? 5 What is the square root of 1294969 to the nearest integer? 1138 What is 936906 to the power of 1/2, to the nearest integer? 968 What is 2797354 to the power of 1/2, to the nearest integer? 1673 What is the cube root of 5952094 to the nearest integer? 181 What is the square root of 2478545 to the nearest integer? 1574 What is the cube root of 201564 to the nearest integer? 59 What is 1333499 to the power of 1/5, to the nearest integer? 17 What is 2692398 to the power of 1/10, to the nearest integer? 4 What is 8516094 to the power of 1/9, to the nearest integer? 6 What is 1892252 to the power of 1/2, to the nearest integer? 1376 What is the square root of 78321 to the nearest integer? 280 What is the square root of 2082927 to the nearest integer? 1443 What is the square root of 8002777 to the nearest integer? 2829 What is the tenth root of 4600136 to the nearest integer? 5 What is 260235 to the power of 1/5, to the nearest integer? 12 What is the fourth root of 113884 to the nearest integer? 18 What is the cube root of 2807726 to the nearest integer? 141 What is the cube root of 1538107 to the nearest integer? 115 What is the square root of 507055 to the nearest integer? 712 What is the cube root of 1050788 to the nearest integer? 102 What is 787027 to the power of 1/2, to the nearest integer? 887 What is 369576 to the power of 1/10, to the nearest integer? 4 What is 5260499 to the power of 1/2, to the nearest integer? 2294 What is the square root of 5543184 to the nearest integer? 2354 What is the third root of 2961755 to the nearest integer? 144 What is the
{ "pile_set_name": "DM Mathematics" }
y be (-17)/(-2) + 2/4. Suppose 4 = -z + y. Solve 0 = 4*l + o*h + 8, -2*l - z*h + 5 = l for l. -5 Let c = 8 - 1. Suppose 0 = 6*v - c*v + 5. Solve 0*g - g + a = 5, v*g + 20 = 4*a for g. 0 Suppose -5*l - 20 + 60 = -5*s, 5*s + 90 = -5*l. Let o = s + 13. Suppose 5*v - 41 - 9 = o. Solve -4*z - 4*t - 11 = z, -2*t - v = -2*z for z. 1 Let y = 23 + -23. Suppose -3*x - x = -5*p - 124, -4*p + 3*x - 99 = y. Let c = p + 27. Solve 0 = 3*m + c*t - 15, -5*m = -3*t + 5*t - 25 for m. 5 Let j(s) = 4*s**2 + 17*s - 18. Let y be j(1). Solve -y*k = -5*i + i + 19, 0 = -4*i + 4 for k. -5 Let d(x) = x + 11. Let j be d(-10). Let v be (-1 + j)/(3 + -1). Solve v*w - 3*i = -4*w + 24, 5*w - 7 = -2*i for w. 3 Let c = -19 + 20. Let j be (c + 8)/((-3)/2). Let i be (j/7)/(24/(-112)). Solve -35 = 4*w - 3*z - 2*z, 2*w + i*z = 2 for w. -5 Suppose 3*q - 5 - 4 = 0. Suppose 3*n + 11 = 2*v - 32, 0 = -5*v + 10. Let y(k) = 2*k + 29. Let t be y(n). Solve -j + 13 = q*c, -7 = 2*j - t*c + 3 for j. 1 Suppose 90 = 15*h - 255. Let f(y) = -y + 7. Let t be f(5). Solve i + t*c + 11 = 0, 4*i + 5*c + 9 = -h for i. -3 Let t(o) = 4*o**2 + 3*o + 1. Let d be t(-2). Suppose -2*r + d = -5*x - 6, -3*x + 3 = 0. Let y = -421 - -428. Solve -5*b - r = 3*n, -b = 3*n + y - 0 for n. -2 Suppose -3*k = -14 + 2. Suppose -4*a - 5*t = -0*a - 25, -2*a - k*t = -20. Solve -l = 3, 5*l + a + 3 = 3*y for y. -4 Let b = -26 - -31. Solve 5*d + b = 5*z, -2*d - 11 = 2*z - 5 for z. -1 Let w = -23 + 37. Let p = 13 - w. Let m be -5 - p - (-102)/17. Solve -6 = 2*n, -m*n - 3*n - 23 = 4*f for f. -2 Let c = -36 - -41. Let l be c - 9/(-2)*(-36)/81. Solve l*r + 8 = -r + 4*y, -5*y + 22 = r for r. 2 Suppose -1 - 19 = -5*j. Let o(v) = -v**2 + 3*v - 6 - j*v - 5*v. Let q be o(-4). Solve -q*p - 17 = -5*x, 2*p + 0 - 1 = -x for x. 3 Let x be 13/2 + (-4)/8. Let j(b) = b**3 - 6*b**2 + b - 2. Let u be j(x). Let g be (92 + -125)*6/(-22). Solve -u*q - 5*z - g = 4, -q + 5*z = -3 for q. -2 Suppose 5*q - 13 = -v + 42, 0 = q + v - 15. Solve -u + 4 = 0, 2*p = p - 2*u + q for p. 2 Suppose r = -4*p + 6*r + 32, 0 = 3*p + 3*r - 24. Suppose -p*a - 7 + 31 = 0. Solve a*n + 12 = 0, -3*f - 6*n = -2*n + 28 for f. -4 Suppose 26*l - 170 = 38. Solve -2*c = 4, -9*y - 4*c - 10 = -l*y for y. -2 Let s = -963 + 968. Solve -4*t - 45 = s*o, -8*o + 3*o - 15 = -2*t for o. -5 Let r = 39 - 30. Suppose -2*i + 5*t + r = i, 0 = -2*i - t + 6. Solve 0 = -i*u, 0 = -s + 7*u - 2*u - 2 for s. -2 Let b = 1535 + -1533. Solve -5*q - b = -3*t + 13, 5*t - 25 = 2*q for q. 0 Let z be 8 + -2*1 - 1. Let v = -35 - -40. Let m = z - v. Solve 3*t + 18 = 3*a, t + 2*a + 0*a = m for t. -4 Suppose -3*p - 2 - 67 = 0. Let r = p - -80. Suppose -3*n = 3 - r. Solve 2*l + 4*d = -n, -5*l - d - 13 = d for l. -1 Let g(i) = i + 6. Suppose 2*h + 7 = 3. Let b be g(h). Solve w - 2*w + b*l = 13, 4*w + 2*l = 2 for w. -1 Let l(v) = -5*v**3 + 12*v**2 + 9*v + 3. Let t be l(3). Solve 2*q - 17 = -2*q - f, -t*q + 27 = -4*f for q. 5 Let y = -38 - -57. Let a = -40 + 59. Solve -5*g = 5*o + y + 16, 2*o + a = -3*g for g. -5 Let a(h) = -h**2 + 14*h - 19. Let s be a(12). Suppose -4*n + y = 4, 0 = 3*n - s*y + 2*y + 12. Solve n = 4*j - g - 3 + 2, 0 = 4*j - 4*g - 4 for j. 0 Let h = 3 + 0. Let a = -991 + 993. Solve -a*g - 3*j = h*g, -3*g = 5*j - 16 for g. -3 Let s be -2 - (-34)/10 - 24/60. Suppose -5*u + 9 = -s. Solve 5 = -3*h + b + 2, -u*h + 4*b = 2 for h. -1 Let r(g) = -g - 6. Let d be r(-6). Suppose -3*v = -43 - 53. Let a = -9 + v. Solve 0*y - 2*y - 12 = 4*z, d = -2*y + 3*z + a for y. 4 Let p be -15*(-2)/3*1. Suppose 2*k + p = 7*k. Solve -s + 17 = -5*t - 11, -k*s + 3*t = -21 for s. 3 Let o(p) = -p**3 - 4*p**2 + 11*p + 10. Let q be o(-6). Let d(f) = -f**2 + 16*f + 2. Let m be d(q). Solve j - 7 = s + m*s, j + 1 = -5*s for s. -1 Let n = 158 - 156. Solve 5*p - 17 = 5*d - n, p = -3*d - 13 for p. -1 Suppose -4*k - 2 + 15 = -5*c, -1 = k + 3*c. Solve -4*u - 21 = 3*s, -3*s + k*u + 0*u = 3 for s. -3 Let w = -61 + 79. Suppose -q - w + 23 = 0. Let y be (-151)/(-9) - 2/(-9). Solve q = s - 5*k, 2*k - y = -5*s + 8 for s. 5 Let w = -49 - -34. Let m be (w/(-45))/(2/78). Solve -2*v - m = -2*n - 3*n, 18 = -5*v - 2*n for v. -4 Suppose 0*a = 5*a - 3*u - 32, a = 5*u + 24. Let y be (-11 + 5)/((-2)/(-6)). Let n = y - -20. Solve -j - a*b = 0, -2 = -0*j + j + n*b for j. -4 Suppose 0*q = -6*q + 54. Suppose -q = 5*f - 19. Let j(x) = -x**2 - 5*x. Let a be j(-4). Solve -4*z + 2*z = -8, -3*z + a = -f*r for r. 4 Suppose 41*y = 34*y + 91. Solve -3*b = -4*a - 1, 2*a = 4*b + 5 - y for b. 3 Let s = -391 - -392. Solve -4*p - 5*v = -5 + s, 0 = -3*v for p. 1 Let b(y) = y**2 + 5*y + 7. Let o be b(5). Let x = o - 53. Solve -4*i + x = -2*i - 5*a, -4*i = -5*a + 2 for i. -3 Suppose 2*c + 8 + 2 = 0, -9 = -2*p - c. Let o be (5 - p)/((1 - 2)/2). Solve 32 = 4*a + o*t, -6*a + 16 = -a - 3*t for a. 5 Let g(s) = s**3 - 17*s**2 - 4*s + 70. Let z be g(17). Solve 16*c + 2*q = 15*c + 1, z*c - 3*q = -19 for c. -5 Let t(c) = -3*c - 6*c + 10*c - 2. Let u be t(2). Solve 5*r + 2*i + 6 = u, -1 - 1 = -i for r. -2 Let b = 32 - 28. Suppose b*o + 7 = 27. Let s(x) = -x**3 + 5*x**2 + x + 5. Let p be s(5). Solve -5*j = o*a - p, 3*a - 2*j + 3 = -1 for a. 0 Suppose 108 - 12 = -3*t. Let r be 31/(-2)*2 - -2. Let k = r - t. Solve -a + 14 = -k*g + 1, -16 = 3*g - 4*a for g. -4 Let y(o) = 2*o**2 - 9*o + 14. Let p be y(3). Solve -2*w - 6 = -2*d - 2*d, 2*w - 5*d + p = 0 for w. -5 Let i(s) = -8*s + 2. Let h(k) = -7*k + 1. Let d(f) = -7*h(f) + 6*i(f). Let c be d(-2). Solve 8*t - 3*t + 5 = -3*z, 0 = -c*t - 12 for z. 5 Suppose 5*o = 2*l + 5, 6*l - l = -4*o + 4. Suppose 4*i = -3*c + 15, 3*c + 0*c - 2*i - 15 = l. Solve 0 = 5*y + 5*z + c, -3*y - 28 = -5*z + 7 for y. -5 Let m = -1 + 1. Suppose m*z = 2*z - 10. Suppose 4 = -578*i + 580*i. Solve -o = -2*h + 2*o - i, z*h + o + 22 = 0 for h. -4 Suppose 0 = -5*j + 21 + 14. Let w(k) = k**3 + 5 - k - 6 + 0*k - j + 13*k**2. Let x be w(-13). Solve -4*a - 2 = -g, 5*g + 2*a + 17 = x for g. -2 Suppose 4*i - i + 5*b = 107, 3*i + b = 91. Solve 3*q - 3*g + 9 = -18, -5*q - i = -g for q. -5 Let n = -81 + 81. Let h = 5 - 3. Suppose n = -3*s - h*s + 15. Solve -4*z - 12 = s*q, 2*z - 5*z = -3*q + 9 for z. -3 Let d = -114 - -119. Solve -t - 6 = -3*i, -4*t + 10 = d*i - t for i. 2 Let m(p) = 32*p + 78. Let i be m(-2). Solve -3*a + 9 = -5*k - 4*a, 2*k = 4*a + i for k. -1 Let a be (-3 + 253)*(-6)/(-15). Let c be 39/15 + (-4)/(a/15). Let n = -11 - -15. Solve n*y - 2 = -c*p + 2, 0 = 2*y + 5*p - 10 for y. 0 Suppose y + y - 4 = 0. Let q be (3 - y)/(2/18). Suppose p + 2*h - 14 = 0, -p - 3*h + q = -2*h. Solve -4*m + 8 = -c - 2*c, 2*c + 12 = p*m for m. 5 Suppose -2*g = 3*g - 5. Let n(o) = 8*o + 2. Let p be n(g). Solve 2*k = p, u - k = 3*u - 5 for u. 0 Suppose -4*j - 44 = -4*n + 12, 4*n - 68 = -2*j. Let d(o) = n + o + 14 - 24. Let s be d(-2). Solve 0*z + z + 18 = 4*i, -2*z = s*i - 12 for z. -2 Let j be -1*14/49 + 16/7. Solve -4*a - 4 = j*i + 12, -20 = 2*a + 4*i for a. -2 Let o = 45 - 41. Suppose 5*u + 2*s = 4, 0*s - 2*s = -o*u - 4. Solve l + u = -1, -9 = -5*m + 4*l for m. 1 Let p(t) = t**3 - 3*t**2 - 3*t. Let h be p(4). Suppose h*z + 4 = 5*z. Let b be -1 + -1*(0 + 0 - 1). Solve 0 = -3*o + f + 4, b*f = z*f - 20 for o. 3 Let k be 87 - (15/(-5) + 7). Let v = 85 - k. Solve u + v*u = -5*f - 2, f - 3*u = 14 for f. 2 Let l = -97 - -100. Solve l = 3*z - 3*i, -2*z - 13 = 4*i + 15 for z. -4 Let g(o) = -52*o + 316. Let a be g(6). Solve 0 = -v + a, l = -3*l - 2*v + 24 for l. 4 Suppose 6*n = 13*n - 4*n. Solve -5*d + 24 = -f, -f - 5*d + 23 + 3 = n for f. 1 Suppose -24 - 6 = -d. Let h be (-1)/(d/8 - 4). Solve -2*f - 7 = -5*p, -p - h*p + 31 = 4*f for p. 3 Suppose -3*d = 3*d - 882. Let i = d - 142. Solve j - 7*f + 3*f = -9, -30 = 5*j - i*f for j. -5 Suppose 6*w = 9*w - 15. Solve 0*l = 4*l - 16, 4*y = w*l for y. 5 Let x(l) = l**3 - 2*l**2 + l + 3. Let t = 17 + -17. Let g be x(t). Solve 0*d + 4*m = -g*d + 22, 10 = -3*d + 4*m for d. 2 Let r be 24/(-16) - ((-36)/8)/3. Solve 4*z + 26 = 2*c + 2, r = c - 3*z - 17 for c. 2 Suppose 4*n - 3*u - 8 - 1 = 0, -5*n + 3*u + 12 = 0. Let l be 3/n + (-4 - -3). Solve l = 3*v - 4*d + 7, v - 28 = -3*v - 4*d for v. 3 Let g be 5*(3 + 70/(-25))*1. Let b(x) = 2*x**2 - 6*x. Let n be b(4). Let c be n - (g + 3 - 2). Solve -2*p + 4*v = c, -p + v + 6 = p for p. 5 Let h(u) = -u**2 + 93*u - 515.
{ "pile_set_name": "DM Mathematics" }
composite? False Let l(v) = -v**2 - 45*v + 213. Is l(-23) composite? False Let n = -5611 - -54369. Is n prime? False Suppose -4*a - 3 + 15 = 0. Suppose a*m = -0*m + 381. Is m composite? False Is 5 + (-188352)/(12/(-3)) a prime number? True Let r = 2547 - 144. Suppose -r - 1442 = -5*v. Is v prime? True Let u(k) = -k**3 - 11*k**2 - 14*k - 12. Let n be u(-10). Let m = -29 + n. Is (-4 - m) + 58 + 4 a composite number? False Suppose 4*f = 3*y + 332, -f - y - y = -72. Suppose -2*j - 5*x + f = -0*j, -x = 3*j - 107. Let o = j + 12. Is o a prime number? True Suppose -6*p + 6865 = 3*u - 4*p, 2300 = u + 3*p. Is u composite? True Suppose -40532 = -4*d + v, 0 = -0*v + 2*v. Is d prime? True Let o(z) = 9*z**2 + 17*z**2 + 1 - 7*z**2 + 8*z. Is o(4) a composite number? False Let g be (-1 + -153)/(312/(-304) + 1). Suppose -4413 - g = -5*t. Is t a composite number? False Let i(h) = -h**2 + 7*h - 4. Let g be i(6). Suppose -3*b + 4*k + 285 = -502, -k = -g. Is b a prime number? False Let n(l) = 2 - 6*l + 2 - l**2 + 2*l**2. Let a = 10 - 1. Is n(a) composite? False Let l(w) = w**2 - 10*w - 4. Let h(r) = -r**3 - 4*r**2 + 9*r + 7. Let z be h(-5). Let b be l(z). Suppose -4*n + b = 59. Is n prime? True Suppose 0 = 7*c - 3*c - 20, 3435 = n - 2*c. Suppose -a = 2*x - 1721, 3*x = -0*a - 2*a + n. Is a a composite number? True Let w = 69451 - 45300. Is w prime? True Let c be 2 - (3 + -3) - -3046. Suppose 3*k - 5*k = -c. Is ((-3)/(-2))/(18/k) a prime number? True Let i be (-117)/((18/128)/(-3)). Let t = -1752 + i. Suppose 0 = -3*y + 807 + t. Is y prime? False Let y = -1154 + 824. Let q = y - -545. Is q composite? True Let f be 6/21 + (-82116)/(-28). Suppose 3*x - 203 = -f. Let b = x + 1457. Is b composite? False Let c(y) = -163*y**3 + 2*y**2 + 5*y + 3. Suppose 4*x + 1 = 3*h + 20, 2*x - 3 = -5*h. Is c(h) a composite number? False Let y = -236 - -849. Is y a prime number? True Let w be (-6)/(-10) - 252/(-30). Let m be (-3)/w + 4/12. Suppose 0*j + 5*j - 105 = m. Is j composite? True Let z(n) = -2*n**3 - 19*n**2 - 10*n - 6. Let k be z(-9). Is (k + -1)/(12/11694) a prime number? True Let c(f) = -f**2 - 4*f + 3. Let r be c(2). Let z = -4 - r. Suppose -4*b + 3*n = -1522, -z*b + 799 = n - 1094. Is b a prime number? True Let p be ((-2)/5)/(3/(-13785)). Let o = p + -1147. Is o a prime number? True Let h(r) = r**2 - 17*r + 35. Let n be h(21). Suppose -1 = 2*q - 9. Suppose w + n = l - 0*w, -3*l + q*w + 353 = 0. Is l a composite number? True Let n(j) be the first derivative of -j**4/4 - j**3/3 - 2*j**2 + j + 10. Is n(-3) composite? False Let c(s) = 3*s**2 - 9*s - 67. Is c(-14) prime? True Suppose -7*m + 24 = 108. Is m/18 - 14758/(-6) a composite number? False Let z(w) = -w**2 - 2. Let h be z(-2). Let m be ((-32)/10)/(h/165). Suppose m = 5*b - 87. Is b a composite number? True Let z(q) = -66*q**2 - 2*q + 3. Let c be z(-4). Let x = c - -1530. Is x a prime number? False Let n = -188 + 188. Suppose -1879 + 95 = -2*y. Suppose -y = -n*m - 4*m. Is m prime? True Let x(n) = -5*n**3 - 11*n**2 + 2*n - 1. Is x(-15) composite? False Is (4 - 16) + 22159 - 6 a prime number? False Suppose 5*i - 1274 = -5*y - 444, -4*y + 649 = -i. Is y a composite number? False Let t(s) = s**2 + 3*s - 3. Let b = 15 - 29. Let y = -22 - b. Is t(y) prime? True Let a(f) = -2*f - 7. Let w(m) = -3*m + 13. Let l be w(6). Let q be a(l). Suppose 7*t - q*t - 508 = 0. Is t composite? False Let n = 3256 + -1903. Suppose 0 = -9*j - 75 + n. Is j a prime number? False Suppose -2*w + m = 3*w - 168, 2*w + 4*m - 54 = 0. Suppose w = 4*n - 7. Is (-613)/(-5) + 4/n composite? True Is 0/1 - (-2166 - -5) a composite number? False Let m(i) = -3*i + 22. Let a be m(4). Is (-26)/(((-2)/785)/(2/a)) a composite number? True Let i be 1 - 9*(3 - 4). Suppose 3*f = f, -2*g = -3*f - i. Suppose g*k - 720 = -0*o + o, 600 = 4*k + 4*o. Is k a prime number? False Suppose -d - 4890 = 1846. Is d/(-10) + 39/(-65) prime? True Let d = -2176 - -3957. Is d a prime number? False Let z(g) = 12*g**2 - 2*g + 3. Let w(l) = -11*l**2 + 2*l - 3. Let n(v) = -6*w(v) - 5*z(v). Is n(5) composite? True Let k = 13538 - 5319. Is k a prime number? True Suppose -13*r + 7*r = 2634. Let a = r - -1758. Is a composite? False Let o(v) = v**3 - v - 2. Let x be o(2). Suppose -4*q = -k - 2, 3*q - 10 + 0 = 5*k. Suppose q = -y + 303 + x. Is y a composite number? False Suppose l + 1 + 6 = 0. Let r = 11 + l. Suppose r*a - 3005 + 667 = -2*s, -602 = -a + 3*s. Is a a composite number? False Let z = -24981 + 53364. Is z prime? False Suppose 2301 = b - 3*a + 391, b + 3*a = 1904. Is b composite? False Let v(y) = 26*y**2 + 37*y**2 + 2*y + 1021 - 1021. Is v(7) composite? True Is (-88916)/(0 - (-40)/(-10)) a composite number? False Let r(v) = -110*v - 91 - 30*v + 230*v. Is r(23) composite? False Suppose -g = -1670 - 191. Let h = 2750 - g. Is h a prime number? False Let x = 33 + -47. Is (-7)/(x/2344) + -1 a composite number? False Suppose -9*l + 2236 = -7*l + 2*t, 5*l - 5605 = -2*t. Is l a composite number? False Let n = 212 + 97. Let j = -118 + n. Is j prime? True Is (1 - -2) + 8205 - 5 a composite number? True Suppose -4*x + 6*x + 5*r + 10 = 0, 0 = 2*x + 3*r + 6. Suppose -3*d + 2*o + 2*o + 166 = x, -o - 57 = -d. Is d a prime number? False Suppose 0 = -41*x + 40*x. Suppose x = -0*z + z - 109. Is z prime? True Let w be 6/(-4)*(1 + 1). Let m(p) be the third derivative of -23*p**4/4 - p**3/6 + 14*p**2. Is m(w) a composite number? True Let i be (-114)/(-22) + 6/(-33). Suppose 0 = -k + i*k - 1324. Is k a prime number? True Suppose 6*r + 25 = r. Let n = -7 - r. Let u(p) = -6*p**3 + 2*p**2 - 2*p - 2. Is u(n) a prime number? False Let m(r) = 1611*r + 358. Is m(15) a prime number? False Let h = 28 + -23. Is (h/10)/(3/894) composite? False Let m(y) = 1604*y + 43. Is m(2) prime? True Suppose 2*f - 4792 = -3*w, -2*w - w = 4*f - 4796. Let r = -917 + w. Is r prime? False Let d = 143 - 7. Let c = 295 - d. Is c prime? False Let o = -34387 + 49080. Is o a composite number? True Let r = 5 - 4. Let p be 3/9*(r - -8). Suppose -2*o - o + 2*z = -111, -p*z = -4*o + 148. Is o prime? True Let d = 14 - 11. Suppose 0 = -3*c - 2*a + 14, -d*c + 5*a - 14 + 0 = 0. Suppose 92 = c*f - 66. Is f a composite number? False Suppose 7*s - 90 = 2*s. Let o = -6 - -10. Suppose 0 = o*j + 5*u - s - 105, -5*j = 2*u - 175. Is j a composite number? False Let q be 2*2/6*(5 - -808). Is q + 0 + (-1 - 0) a composite number? False Let w = 84 - 77. Is 2907/w + (-57)/(-21) + -3 a prime number? False Suppose -t + 5*g + 64 = 0, 4*t - 212 = -t - 2*g. Suppose 3*q - t = q. Suppose -q = 5*n - 257. Is n composite? False Let n = -394 - -456. Is n prime? False Suppose k + 1 = 3. Let b be (-1 + 0)/(k/(-8)). Suppose b*l - 1065 = l. Is l prime? False Let r(d) = 49*d**2 + 5*d - 15. Let m be r(-7). Is (-3)/24*6 - m/(-4) a composite number? False Let g = 7288 + -2961. Is g a composite number? False Suppose -9 = 5*u - 19. Suppose -224 + 30 = -u*s. Is s prime? True Let v = -11 - -7. Let y(r) = 3*r**3 + r**2 - 8. Let a(b) = -7*b**3 - b**2 + b + 15. Let i(l) = 3*a(l) + 5*y(l). Is i(v) prime? True Suppose -47*o + 903022 = 27*o. Is o a prime number? True Suppose 5*j - m + 4 = 26, j - 2*m + 1 = 0. Suppose 2*c = j*q - 601 - 208, -q - 3*c = -172. Is q composite? False Suppose 26310 = 44*a - 14*a. Is a composite? False Let q(v) = -v**3 + 12*v**2 - 21*v + 6. Let f be q(10). Let s be (-8 - f) + 834/(-2). Let z = s + 740. Is z a prime number? False Let y = -21142 - -40400. Is y a composite number? True Let q be 1 - (-2)/2 - -737. Suppose r + 2*r + 3 = 0, 0 = -3*x - 4*r + 5192. Suppose -302 + q = o - 3*y, -4*o + x = -4*y. Is o composite? False Let o be -2*(-1 - (-3 + 3)). Suppose 3*d - b + 1 = 3, -o*d = -b - 1. Suppose j + d = -0, 5*k - 75 = 5*j. Is k prime? False Suppose -3*y = -2*z + 2*y + 11, 0 = -3*z - 2*y + 26. Is 2 + (-14)/z - (-1701)/12 composite? True Let s(h) = -h**2 - 4*h - 11. Let l be s(0). Is (99/9)/((-1)/l) composite? True Suppose -5*d = -0*b + 2*b + 10, d - 2*b = -2. Is d/(-4 - 170/(-45)) prime? False Let o be 2*(-2)/(-2) + 97. Let y = 0 + 10. Suppose y = b + b, -4*f = -b - o. Is f a composite number? True Is (0 - -4)/2*8974/28 composite? False Suppose 3*z = -z + 24. Suppose -3*v + z = -9, 0 = -b - 4*v + 1089. Is b prime? True Let n = 20 + -17. Suppose n*i + 2*i = -4*z
{ "pile_set_name": "DM Mathematics" }
130)/(sqrt(90) - (sqrt(90) - -3*sqrt(90))). -sqrt(13)/9 Simplify (sqrt(102) + sqrt(102)*-2*2)/(3*sqrt(6)*-1). sqrt(17) Simplify -2 + sqrt(65)/(-1*sqrt(5)). -sqrt(13) - 2 Simplify -4 + ((-1 + sqrt(500))**2 + -3)*-5. -2494 + 100*sqrt(5) Simplify (-2*(-1 + sqrt(128))**2 + ((sqrt(128) + 0)*-4)**2)*-6. -10740 - 192*sqrt(2) Simplify 2*sqrt(68) - (sqrt(2448) + 1)**2. -2449 - 20*sqrt(17) Simplify (sqrt(1900) + (sqrt(1900) + -4 + sqrt(1900) - sqrt(1900)) - sqrt(1900))*-1. -10*sqrt(19) + 4 Simplify -1*sqrt(432)*5. -60*sqrt(3) Simplify (-1*(sqrt(114) + sqrt(114)*1))/(sqrt(24)/(-1*sqrt(4))). 2*sqrt(19) Simplify sqrt(48) + 1 - (2*(sqrt(3) + 0) - sqrt(3)). 1 + 3*sqrt(3) Simplify (2*sqrt(40)/(4*sqrt(8)))**2 + 4. 21/4 Simplify ((3 + sqrt(11))**2 + sqrt(11))*-2 - ((sqrt(121)*2)/sqrt(11))**2. -84 - 14*sqrt(11) Simplify (2*sqrt(2) + 5)**2 + (sqrt(2) - (sqrt(2) + sqrt(8)/(2*sqrt(4)))). 39*sqrt(2)/2 + 33 Simplify (sqrt(152)*-2*-1 - sqrt(152))/((sqrt(96) - sqrt(96)*3)/sqrt(12) - sqrt(8)). -sqrt(19)/3 Simplify -6*(-5 + (3*(-2 + sqrt(200)))**2). -10986 + 2160*sqrt(2) Simplify 4 + 5 + sqrt(11)*-1. -sqrt(11) + 9 Simplify -2 + ((sqrt(19) - (sqrt(38)/sqrt(2)*4 - sqrt(19)))**2 - 4*sqrt(304)). -16*sqrt(19) + 74 Simplify 3*(sqrt(76)*3 + -3). -9 + 18*sqrt(19) Simplify ((6*1*sqrt(84) - sqrt(84)) + sqrt(84))/((sqrt(84) + sqrt(84)*2)/sqrt(7)). 2*sqrt(7) Simplify ((sqrt(272)*-1 + sqrt(272) - sqrt(272))*-5*3)**2. 61200 Simplify sqrt(13) + ((sqrt(143) - (sqrt(143) + sqrt(143) + (sqrt(143)*2 - sqrt(143)) + sqrt(143)))/sqrt(11))**2 + -2. sqrt(13) + 115 Simplify (2 + sqrt(192))**2*-4. -784 - 128*sqrt(3) Simplify (sqrt(16)/(sqrt(512)/sqrt(4)))**2. 1/8 Simplify 2*(sqrt(500) + (sqrt(500) - (sqrt(500) + -1 - sqrt(500))) + (sqrt(2880) + 0)**2). 40*sqrt(5) + 5762 Simplify 4 + (sqrt(13)*-1*-3)**2 + -5. 116 Simplify 3*((sqrt(950) - 3*sqrt(950))/sqrt(2))**2. 5700 Simplify ((sqrt(612) - (sqrt(612) + 2*sqrt(612) - sqrt(612))) + -1 - sqrt(612))**2. 24*sqrt(17) + 2449 Simplify sqrt(637) + -1 - 6*(1*sqrt(13))**2. -79 + 7*sqrt(13) Simplify (1*sqrt(77)*-3)/sqrt(7). -3*sqrt(11) Simplify 2*((5 + sqrt(11)*3)**2 + 3). 60*sqrt(11) + 254 Simplify ((sqrt(1512)/sqrt(6) + 1)*6)**2. 432*sqrt(7) + 9108 Simplify (sqrt(264)/(sqrt(22)/sqrt(2)))/(sqrt(144)/sqrt(192)). 4*sqrt(2) Simplify 5 + ((2*sqrt(200))**2 + sqrt(200))*-2. -1595 - 20*sqrt(2) Simplify (0 + sqrt(11) + -5)**2 + ((sqrt(77)*-2 + sqrt(77))/sqrt(7))**2. -10*sqrt(11) + 47 Simplify -2*sqrt(17)*-5 - (-3 + sqrt(17)*3). 3 + 7*sqrt(17) Simplify (sqrt(153)*-1 + -2)**2. 12*sqrt(17) + 157 Simplify (sqrt(325)*1)**2 - (sqrt(637) + 2). -7*sqrt(13) + 323 Simplify ((sqrt(132) + sqrt(132) + sqrt(132) + (-3*(-1*sqrt(132) + sqrt(132)) - sqrt(132)))/(sqrt(12) + sqrt(48)*5))**2. 4/11 Simplify sqrt(77)/sqrt(7)*-3 - (sqrt(11) + -2)*-5. -10 + 2*sqrt(11) Simplify ((sqrt(1100) + 1 + sqrt(1100))*4)**2. 640*sqrt(11) + 70416 Simplify 5*sqrt(432)*-1. -60*sqrt(3) Simplify sqrt(13) + (sqrt(13) - sqrt(104)/(sqrt(24)/sqrt(3))) - (sqrt(13) + 5 + sqrt(13) + sqrt(13)*1). -2*sqrt(13) - 5 Simplify (sqrt(243) + sqrt(243) + 3*sqrt(243)*5 + sqrt(243))**2. 78732 Simplify ((2 + -2*sqrt(343) + (sqrt(343) + 1)*-1)*3)**2. -378*sqrt(7) + 27792 Simplify ((sqrt(200) + 2)*-3 + 0)**2. 360*sqrt(2) + 1836 Simplify ((-5 + sqrt(325) - sqrt(26)/sqrt(2)*5)*2)**2. 100 Simplify (sqrt(190)/(2*sqrt(10)) - sqrt(19))**2*-5. -95/4 Simplify (-4*(sqrt(117)*2 - sqrt(117))/sqrt(9))**2 + 4. 212 Simplify ((sqrt(130)*1 - sqrt(130))/sqrt(10) - (sqrt(13) - ((-2 + sqrt(13) + 0)**2 - sqrt(13)) - sqrt(13))) + 4. -5*sqrt(13) + 21 Simplify (3 + -1*sqrt(11))*2 + 1. -2*sqrt(11) + 7 Simplify sqrt(51)/sqrt(3) + 1 + 2. 3 + sqrt(17) Simplify -1*sqrt(180) + sqrt(20)/sqrt(4) + 3. -5*sqrt(5) + 3 Simplify ((sqrt(30)/sqrt(2))/sqrt(3) + (sqrt(120)/sqrt(6))/sqrt(4))**2. 20 Simplify (sqrt(50) + (2*sqrt(4050) - sqrt(50)))/(sqrt(10) - (sqrt(50) + (sqrt(50) - sqrt(200)))/sqrt(5)). 18*sqrt(5) Simplify (-5*sqrt(136)*-1)/sqrt(8). 5*sqrt(17) Simplify (-5 + sqrt(6)/sqrt(2) - (sqrt(75) + 1))**2. 48*sqrt(3) + 84 Simplify (2*(sqrt(190) - sqrt(190)*4 - sqrt(190)))/(((sqrt(120)*-2 - sqrt(120) - sqrt(120)) + sqrt(120) - sqrt(120))/sqrt(12)). 2*sqrt(19) Simplify (sqrt(40) - (sqrt(440) + sqrt(440)*-1 + sqrt(440) - sqrt(440) - sqrt(440))/sqrt(11))/(sqrt(8) + sqrt(224)/sqrt(7) - sqrt(8)). sqrt(5) Simplify (5 + (4*sqrt(52) - sqrt(13)))*1. 5 + 7*sqrt(13) Simplify (-1*(sqrt(143) - (sqrt(143) - (1*sqrt(143) + sqrt(143)))) + sqrt(143) - sqrt(143))/sqrt(11) + 4 + -2. -2*sqrt(13) + 2 Simplify ((sqrt(84)/(2*sqrt(7)))/sqrt(4) + -4)**2. -4*sqrt(3) + 67/4 Simplify sqrt(20)/(1*sqrt(64)). sqrt(5)/4 Simplify (sqrt(25) + sqrt(100)/(-2*sqrt(4)))/(sqrt(5) + sqrt(20)/sqrt(16)). sqrt(5)/3 Simplify 3 + 1 + sqrt(13) + -1. 3 + sqrt(13) Simplify (sqrt(28) + (sqrt(28) - sqrt(112)/(sqrt(16)/sqrt(4))))/sqrt(4) + -5. -5 + sqrt(7) Simplify ((sqrt(242) - (sqrt(242) + 0 + sqrt(242))) + -4 + 3)**2. 22*sqrt(2) + 243 Simplify ((sqrt(80) - sqrt(80)*2)*3 + -4)**2. 96*sqrt(5) + 736 Simplify (sqrt(1088)*2 + 3)**2. 96*sqrt(17) + 4361 Simplify (sqrt(1728)*-1 + sqrt(1728))/(sqrt(96) + sqrt(6)). 0 Simplify (sqrt(13) - (sqrt(104)*-2 + sqrt(104) + sqrt(104))/sqrt(8))*-2 + 0. -2*sqrt(13) Simplify sqrt(1100) - (-3 + (sqrt(1100)*-3 - sqrt(1100)))**2. -17609 - 230*sqrt(11) Simplify sqrt(40)/(1*sqrt(968) + sqrt(968)). sqrt(5)/22 Simplify 1*sqrt(228)/(-2*sqrt(1728)). -sqrt(19)/24 Simplify sqrt(104)/(6*sqrt(64)/sqrt(8)). sqrt(13)/6 Simplify (sqrt(187)/(sqrt(539) + sqrt(539)*1 - sqrt(539)))**2. 17/49 Simplify 5 + (sqrt(3)*2 + -5)*-3. -6*sqrt(3) + 20 Simplify (-1*sqrt(1701))/(-2*sqrt(12)/sqrt(4) + sqrt(3)). 9*sqrt(7) Simplify (sqrt(19) + (sqrt(1900) - (sqrt(1900) + 1)))**2 + 5. -2*sqrt(19) + 25 Simplify (-2*sqrt(1836))/(sqrt(432) + sqrt(48)). -3*sqrt(17)/4 Simplify ((sqrt(224) - sqrt(14))/sqrt(7))**2*3. 54 Simplify 0 + -3 + sqrt(52) + -2. -5 + 2*sqrt(13) Simplify -3*(-3 + (sqrt(48) - sqrt(3)))**2. -108 + 54*sqrt(3) Simplify -6*(sqrt(162)*3)**2. -8748 Simplify (-3*sqrt(484) + sqrt(484) + sqrt(484))/sqrt(11). -2*sqrt(11) Simplify (-3*(sqrt(68) - (4 + sqrt(68)))*5)**2. 3600 Simplify (-1 + (-1 + sqrt(2448))*6 + sqrt(2448))**2. -1176*sqrt(17) + 120001 Simplify (4 + sqrt(320)*-2 + -3)**2. -32*sqrt(5) + 1281 Simplify 1 + sqrt(72) + -4 - sqrt(72) - sqrt(72). -6*sqrt(2) - 3 Simplify -3*(sqrt(256)/sqrt(8))**2. -96 Simplify ((-4*sqrt(245)*1)**2 - sqrt(245)) + -3. -7*sqrt(5) + 3917 Simplify (sqrt(255)/sqrt(45))/(sqrt(3) - -1*sqrt(432)). sqrt(17)/39 Simplify (0 + sqrt(19) + 3 - (sqrt(114) - (sqrt(114)*1 - sqrt(114) - sqrt(114)))/sqrt(6))**2. -6*sqrt(19) + 28 Simplify sqrt(70)/(sqrt(10)*2)*-1. -sqrt(7)/2 Simplify (6*sqrt(17) + sqrt(17))**2*1 - (-4 + 3 + sqrt(17) + sqrt(17)). -2*sqrt(17) + 834 Simplify (sqrt(300) + (sqrt(300) - ((sqrt(300) + (sqrt(300) - (-1*sqrt(300))**2))*-4 - sqrt(300))))*-3. -330*sqrt(3) + 3600 Simplify 5 + 2*-2*sqrt(66)/sqrt(6). -4*sqrt(11) + 5 Simplify (sqrt(324)/((sqrt(84)*2 + sqrt(84))/sqrt(7)))**2. 3 Simplify (sqrt(65) + -4*(sqrt(65) + sqrt(65)*1))/((sqrt(35)*-1)/sqrt(7)). 7*sqrt(13) Simplify (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 5 + (sqrt(2448)*1 - sqrt(2448)))))**2*-3. -7419 - 360*sqrt(17) Simplify ((sqrt(27) - (sqrt(27) + sqrt(297)/(sqrt(33)/sqrt(3))))/((sqrt(144)/sqrt(4))/sqrt(4)))**2. 3 Simplify sqrt(180)/sqrt(4) + sqrt(10)/(sqrt(2) + sqrt(10)/sqrt(5)). 7*sqrt(5)/2 Simplify -5 + -4*3*sqrt(13). -12*sqrt(13) - 5 Simplify (sqrt(980) - -3*sqrt(980)) + sqrt(980). 70*sqrt(5) Simplify (1*(4*(sqrt(19) + -1) + (sqrt(38)*-2 - sqrt(38))/sqrt(2)))**2. -8*sqrt(19) + 35 Simplify ((sqrt(432)*1)/((sqrt(6) - sqrt(6)*1*-6) + sqrt(6)))**2. 9/8 Simplify (-5*(sqrt(65) + sqrt(65)*1 + sqrt(65)))/(sqrt(80)*3). -5*sqrt(13)/4 Simplify (sqrt(294)/(-2*sqrt(7)))/sqrt(6). -sqrt(7)/2 Simplify 2 + sqrt(2) + 3 - (sqrt(10)*-1)/sqrt(5). 2*sqrt(2) + 5 Simplify (-1*-1*sqrt(1331) - (4 + sqrt(1331)*-1))**2. -176*sqrt(11) + 5340 Simplify (1*sqrt(104)*-2)/(sqrt(8) - sqrt(96)/(-3*sqrt(12))). -3*sqrt(13)/2 Simplify (sqrt(102)/(3*sqrt(3)))/(-6*sqrt(8)/sqrt(4)). -sqrt(17)/18 Simplify (sqrt(567)*1*-4)**2 - (sqrt(567) + ((1 + sqrt(567))*-4 + sqrt(567))**2). -225*sqrt(7) + 3953 Simplify ((sqrt(52) - (sqrt(104)/sqrt(2) + -4)) + sqrt(52) - sqrt(52))**2*3. 48 Simplify 4 + -1 + sqrt(704) + (sqrt(704) - 1*(sqrt(704) - (-1 + sqrt(704))) -
{ "pile_set_name": "DM Mathematics" }
4*m**3 - 5*m**3). -4*m**5 - 4*m**2 + m Expand (-s**3 + s**2 - s**2)*(15*s - 15*s + 4*s**2) + (-3*s**4 + 3*s**4 + 2*s**4)*(5*s - s - 3*s). -2*s**5 Expand (3 + 0 - 2)*(y**4 - 3*y**4 + 5*y**4) + y - y - 3*y**4 + (3*y**4 + 2*y**4 - 6*y**4)*(-1 + 4 - 1) + 0*y**4 - y**4 - y**4. -4*y**4 Expand (-2*x**3 + 3*x**3 - 2*x**3)*(5*x**2 + 3*x**2 - 5*x**2) + x**2 - 3*x**5 + 0*x**5 + 4*x**5. -2*x**5 + x**2 Expand (0*t + 3*t - t)*(-4*t**2 + 0*t**2 + t**2) + t**3 + 2*t**3 - t**3 + (2*t**2 - 3*t**2 + 0*t**2)*(t - t - t). -3*t**3 Expand (-3 + 14 - 4)*(c + 3*c - 2*c). 14*c Expand (1 + w**3 - 1)*(0 - 3 + 0) + 0*w**2 + 0*w**2 - w**3 + (-48 + 48 + 11*w**3)*(-3 + 0 + 6). 29*w**3 Expand (4 - 1 + 1)*(0*p**5 + 2*p**5 + 4*p**5). 24*p**5 Expand (-2 - 6*p**3 + 2)*(3 - 1 - 4) + (-2*p - p**2 + 2*p)*(0*p + p - 2*p). 13*p**3 Expand (2*y - 2*y + 2*y)*(-8*y**3 - 9*y**3 + 6*y**3). -22*y**4 Expand (-2 + 3*f + 2)*(-f**3 - f + f). -3*f**4 Expand (2*z - 3*z + 0*z - 3)*(-3 + 2 - 1). 2*z + 6 Expand -1 - 40*m**3 - 1 + 6*m**2 + 42*m**3 + (m**2 + 2*m**2 - 4*m**2)*(0 + 0 + m). m**3 + 6*m**2 - 2 Expand (27*p + 27*p - 56*p)*(-2*p + p + 2*p). -2*p**2 Expand (0*v**2 - 1 - 2*v**2 + 3*v**2)*(-2 - 1 + 2)*(1 + 3*v - 1). -3*v**3 + 3*v Expand 3*l**5 + 3*l**5 + 0*l**5 - 5*l**5 + l**5 + 2*l**5 + 4*l**5 + l**5 - 3*l**5 + (-l**5 + l**4 - l**4)*(-4 + 2 + 0) - 1 + 1 - l**5 - l**5 + 3*l**5 - l**5. 8*l**5 Expand (2*v + 2 - 2 + (-6 + 1 + 3)*(6*v - v - 3*v) + 2*v + 3*v - 7*v - 1 - v + 1)*(-3*v**2 + v**3 + 3*v**2). -5*v**4 Expand (1 + h**2 - 1 + (0*h**2 - h**2 - h**2)*(-1 - 1 + 3) + 3 - h**2 - 3 - h**2 + 4 - 4)*(-42 - 33 + 29). 138*h**2 Expand (-3 + 3 - 4*s)*(0*s + s + s) - 4*s**2 + 5*s**2 + 5*s**2 + (2 - 2 - s)*(0*s + 3*s - 6*s). s**2 Expand (-2 + 0 + 4)*(0*y + 2*y + 0*y). 4*y Expand (-2 - i + 2)*(0*i + 2*i - 4*i) + 0*i**2 + i**2 - 26 + 2. 3*i**2 - 24 Expand (-3*c + 3*c + 2*c**3)*(-c**2 + c**2 + c**2) - 4*c**5 + 2*c**3 + 10*c**3 - 18*c**3. -2*c**5 - 6*c**3 Expand 20*m**2 + 15*m - 15*m + (-4*m + 2 - 2)*(-m + 3*m - 3*m). 24*m**2 Expand (-3*f - 2*f - 1 + 7*f)*(-3*f**3 + 2*f - 2*f). -6*f**4 + 3*f**3 Expand (1 - 1 + 1)*(-6 + 8 + 4*a + a). 5*a + 2 Expand -2*d**3 + d**5 + 2*d**3 + 0*d + 0*d - d**5 + (-4*d**2 - d**2 + 3*d**2)*(-d**3 - 3*d**2 + 3*d**2) + 0 + 0 + d**5. 3*d**5 Expand (-3*y**3 + 0*y**2 + 0*y**2)*(3*y - 3*y - 3*y)*(-5*y + 2*y - 4*y). -63*y**5 Expand (3*v - 4*v - 2*v)*(-v**2 + 4*v**2 - 2*v**2)*(-2*v + 6*v - 2 - 5*v). 3*v**4 + 6*v**3 Expand (-2*p - 1 + 1)*(-7*p**2 + 4*p**2 - 8*p**2). 22*p**3 Expand (2 - 2 - 2)*(p**3 - 10*p**3 + p**3)*(0 + 0 - p**2). -16*p**5 Expand -o + 0 + 0 + (2 - 1 + 1)*(-2*o - 4*o + 4*o) + 6*o + 11*o - 57 - 19*o. -7*o - 57 Expand (-8*l + 15*l - 2*l**2 + 8*l)*(-l + 3*l - 3*l). 2*l**3 - 15*l**2 Expand (3 + 1 - 1)*(-a - 3*a + 3*a)*(0 + 0 - a**4)*(3 + 0 + 0). 9*a**5 Expand (11 + 10 + 6)*(2*m + 2*m - 2*m). 54*m Expand 2*n - 4*n + 4*n + n + n - 6*n + (3 - 1 - 3)*(-2*n + 0*n + 3*n) + 1 - 1 - 2*n. -5*n Expand (-2*m**2 + 5*m**2 - m**2)*(2 - 2 + 1)*(-2*m**2 + 0*m**2 - 6*m**2). -16*m**4 Expand -28*a**3 + 13*a**3 - 40*a**3 + (-2*a - 1 + 1)*(-3 + 3 - a**2). -53*a**3 Expand (7*n**4 - 13*n**4 + 7*n**4)*(-3 + 2 + 5). 4*n**4 Expand (2 + 2*m - 2)*((-1 + 1 + 1)*(0 - 1 - 1) - 2 + 17 + 11). 48*m Expand ((3*x - 3*x - x)*(0 - 3 + 2) + 2*x + 2*x - 2*x)*(-2 + 6 - 1). 9*x Expand (-2 - 5 + 5)*(2*f + 2*f + 14*f)*(-3 - 1 + 2). 72*f Expand (-4*x**3 + 6*x**3 + 0*x**3)*((-4 - 2 + 4)*(-1 + x + 1) - 15*x + x + 2*x). -28*x**4 Expand (-1 + 1 + o)*(0 - 1 + 3 + (2 + 1 - 2)*(-2 + 3 - 3) + (1 + 1 - 1)*(3 - 2 + 1)). 2*o Expand (-6 - 7*x + 6)*(-2 + 5 - 1)*(-1 - 2 + 1). 28*x Expand ((5*q + 0 + 0)*(1 + 2*q - 1) + (4*q - 5*q + 2*q)*(2 - 2 + 3*q))*(2*q + q**3 - 2*q). 13*q**5 Expand 0*a + 0*a - 2*a + (4 - 3 + 4)*(2 - 2 - a). -7*a Expand (-1 - 3 + 5)*(2*c**2 - 4*c + 4*c) + 54*c**2 - 30*c**2 + 49*c**2. 75*c**2 Expand (-3 + 3 - 2)*(r**5 - r**5 + r**5) + r**5 + 2*r**5 + 0*r**5. r**5 Expand (0*c + c + 2*c)*(-3*c**2 + 8*c - 8*c). -9*c**3 Expand (2*p**2 + 3*p**2 - 4*p**2)*(0*p + 0*p + p**2) - p**4 + 2*p**4 - 3*p**4 + 3*p**3 - 3*p**3 - 2*p**4 - 5*p**3 + 5*p**3 - p**4. -4*p**4 Expand 0*o**4 + 5*o**5 + o**4 + 5*o**5 + (0 + 0 + o)*(0*o + 0*o - 2*o**4). 8*o**5 + o**4 Expand (0*z + z + 2*z)*(0*z - 2*z + 3*z)*(-4 - 10 + 0). -42*z**2 Expand (1 - 1 - 1)*(2*b**2 - 2*b**3 - 2*b**2)*((0 - 2 + 1)*(-1 - 1 + 3) + 0 - 2 - 1). -8*b**3 Expand (-3*n + 3*n - n**2)*(-2*n**2 + 148*n + 1 - 2 - 160*n). 2*n**4 + 12*n**3 + n**2 Expand (2*o**3 + o**2 - o**2)*(5*o - 3*o - 4*o) + 2 - 2*o**4 + 0 - o**4. -7*o**4 + 2 Expand ((0 + 0 + d)*(-1 - 5 + 4) + 4*d - 2*d + d)*(1 - 1 - 2*d). -2*d**2 Expand (4*g - 9 + 9)*(2*g**4 - g**4 + g**4)*(-1 + 4 - 2)*(4 - 1 - 2). 8*g**5 Expand 0*t**2 + 2*t**2 - 6*t**2 + t**2 + 0 + 0 + 1 + t**2 - 1 + (3 - 1 - 3)*(4*t**2 + 1 - 1). -6*t**2 Expand y + 0*y + y + (-2 - 2 + 3)*(y + 0 + 0) - 2*y - 4*y + 4*y + 3*y + 2*y - 7*y - 2*y + 2*y + 4*y - 2*y + 3*y + y + (-2 + 1 + 2)*(3*y + y - 2*y). 5*y Expand (-4*g + 3*g - g)*(g + 0*g - 5*g)*(1 + 0 + 1) + (2*g + g - g)*(-2 + 2 + 2*g). 20*g**2 Expand (0*v + 3*v - v)*(-26 - 20 - 19*v**3 + 44). -38*v**4 - 4*v Expand (-2*u + 3*u + 0*u)*(-1 + 0 + 4) + 5*u + 0*u - u. 7*u Expand (-3 - b**2 + 0*b**2 + 0)*(9*b**2 + 6*b**2 - 14*b**2). -b**4 - 3*b**2 Expand (b**2 + 3*b**2 - 2*b**2)*(-2*b**2 + 3*b**2 - 3*b**2). -4*b**4 Expand (-3*u**4 - 12*u + 12*u)*(-5*u + u + 3*u + (-2*u - 2 + 2)*(-6 + 2 + 2) + u + 0*u + 0*u). -12*u**5 Expand -2*v + v + 0*v + (-1 + 5 - 5)*(0*v + 0*v - 2*v) + 2*v - 1 + 1 + 6*v - 3*v - 2*v + (1 + 1 - 3)*(-3*v + 3*v - v). 5*v Expand (-12*r - r + 16*r)*(2 - 1 - 2). -3*r Expand (-2*i**2 + 7*i**2 - 3*i**2)*(3*i - 5*i + 0*i)*(i - i**2 - i). 4*i**5 Expand 2*n**2 + n**2 - n**2 + (n - 1 + 1)*(89 - 89 + 34*n). 36*n**2 Expand (-2*y - 2 + 3*y + 3)*(4*y - 21*y**3 - 4*y). -21*y**4 - 21*y**3 Expand (-s**2 + 104*s**3 - 101*s**3 + 0*s**2)*(3 - 4 + 0)*(-2*s + 1 - 1). 6*s**4 - 2*s**3 Expand (v + 0*v + 2*v)*(-1 - 2 + 1)*(-2*v - v + 2*v + (2*v + 0*v + 0*v)*(4 - 1 - 2) - 4 + 4 + 2*v). -18*v**2 Expand (0*z**2 - z**2 - z**2)*(2*z**3 + 2*z**3 - 5*z**3) + (-2*z**3 + 3*z**3 - 2*z**3)*(3*z**2 - z**2 - z**2). z**5 Expand (-a + 5*a - 2*a)*(-3*a + 2*a - a) + 13 - 13 - 3*a**2 + (3*a + 0*a - a)*(-3*a + 6*a - 2*a). -5*a**2 Expand (4 + 8 - 6)*(2*j + 3*j - 7*j + (3 + 0 - 2)*(-2 - j + 2) - 2*j - 2*j + 5*j - j + 4 - 4)*(-2 + 7 - 3). -36*j Expand (6 - 10 + 0)*(1 - 1 - 3)*(-g + 2*g - 3*g). -24*g Expand 4*c**4 - 3*c**4 + 0*c**4 + (-4 + 3 + 0)*(2*c**4 - 5*c**4 + 2*c**4) + (3*c**2 - 2*c**2 + c**2)*(2 - 2 - 2*c**2). -2*c**4 Expand 0*h - h + 0*h + (h - 1 + 1)*(2 - 3 + 0) + h + 0*h + h - 2*h + 2*h + h. h Expand -2*j - j + j + (-3 - 2 + 6)*(0*j - j + 2*j) + 1 - 1 - 2*j - 25 + 18 - 7*j + 20. -10*j + 13 Expand ((80*a - 8*a**2 - 80*a)*(-a**2 + 1 - 1) - a**3 + a**3 + 2*a**4)*(5 - 3 - 1). 10*a**4 Expand 2*h**5 - h**5 - 3*h**5 + (3*h + h**2 - 3*h)*(-h - 1 + 1)*(15*h**2 + 13 - 13). -17*h**5 Expand (2 - 46*q - 45*q + 95*q)*(q - q + 2*q**3). 8*q**4 + 4*q**3 Expand (-22*z + 260 - 260)*(-4*z + 2*z**2 + 6*z - 4*z**2). 44*z**3 - 44*z**2 Expand 237 + 196*h**2 + 39*h**2 - 237 + (-1 + 1 + h)*(-h - 2 + 2). 234*h**2 Expand (-5*t + 5*t + 2*t)*(-9 - 7 + 25). 18*t Expand (3 - 1 + 1)*(-3 - 2*a + 1 + a). -3*a - 6 Expand (-3*k**4 - 2*k + 2*k)*(-3*k - 4*k + 5*k) + (17*k - k**4 - 17*k)*(-3 - k + 3). 7*k**5 Expand (-1 + 0 - 1)*(-4*r + 8*r + 0*r)*(2*r - 3*r - 2*r). 24*r**2 Expand (-u**2 + 3*u**3 + u**2)*(0*u**2 + 0*u**2 - 4*u**2). -12*u**5 Expand (1 - 6 + 2 + (-1 - 5 + 3)*(-3 - 4 + 5))*(-5*h**3 + 5*h**3 + h**4). 3*h**4 Expand (2*p**4 + 0*p**4 + 0*p**4)*(-3 - 1 + 3)*(-7 - 5 + 1). 22*p**4 Expand (-l - 1 + 1)*(-1 + 42*l + 0 - 52*l). 10*l**2 + l Expand (-6*a**2 + 11*a - 11*a)*(-2*a + 2*a + 7*a**3). -42*a**5 Expand ((t + 5 - 5)*(-3*t - t + 2*t) - t**2 - 2*t**2 + 4*t**2 + 2*t + 3*t**2 - 2*t + 4*t**2 + 0 + 1 - 5*t**2)*(2*t**2 - t**2 - 2*t**2). -t**4 - t**2 Expand (m - m - 2*m**2)*(-5 - 5 + 1)*(0 + 0 + 2)*(0*m + 0*m - m**3). -36*m**5 Expand 2*c**3 + 2*c**3 - 2*c**3 + 4*c**3 - 5*c**3 + 0*c**3 + (3*c**3 + 0*c**3 - 5*c**3)*(0 - 3 + 1) + 2 - 2 + c**3 - 3*c**3 + 3*c + 2*c**3 + 0*c**3. 5*c**3 + 3*c Expand (0 + 0 - j)*((1 - 1 - 2)*(-6 + 3 + 4) + 3 - 1 + 1). -j Expand 2*p**5 + p**5 - 2*p**5 + (3*p**3 + 0 + 0)*(p**2 - 6*p**2 + 0*p**2) - 3*p**5 + 0*p**5 + p**5. -16*p**5 Expand (u + 0 + 0)*(4
{ "pile_set_name": "DM Mathematics" }
x**2 + s*x**2 - x**2. Let j(g) = -g - 1. Let z(w) = -7*w - 4. Let q(v) = 4*j(v) - z(v). Determine q(y(u)). 3*u**2 Let r(w) = 3*w**2. Let l(y) = -1079*y. What is r(l(v))? 3492723*v**2 Let x(m) = -3*m**2. Suppose -3*w + 2*w = -3. Let i be (-2)/2*w*-1. Let s(l) = 4 - l**2 - 1 - i. What is s(x(r))? -9*r**4 Let t(q) = -4*q - 3. Let v(a) = -3*a - 2. Let x(y) = 4*t(y) - 6*v(y). Let z(s) = 16*s. Determine x(z(h)). 32*h Let h(v) = v**2. Let d(b) be the first derivative of 4 - 9/2*b**2 + 0*b. Give h(d(q)). 81*q**2 Let a(l) = 2*l**2. Let d be 6/(-5)*(-25)/10. Let m(b) = -22 - d*b + 22. Give m(a(j)). -6*j**2 Let c(g) be the third derivative of 0 + 0*g - 1/6*g**4 + 3*g**2 + 0*g**3. Let x(w) = w**2. Give x(c(a)). 16*a**2 Let v(f) = -3*f + 5. Let r(b) = -2*b**2 + b. Let x be r(-1). Let p(c) = 2*c - 3. Let s(a) = x*v(a) - 5*p(a). Let n(g) = -4*g**2. Determine n(s(t)). -4*t**2 Let f(a) be the third derivative of 2*a**4/3 + a**2. Let o(t) = 2*t**2. What is f(o(k))? 32*k**2 Let j(w) be the first derivative of 5*w**2/2 - 4*w + 1. Let z(f) = -4*f + 3. Let u(v) = 3*j(v) + 4*z(v). Let n(y) = -15*y**2. Give u(n(k)). 15*k**2 Let u(d) = -2*d**2. Let b = -3 - -9. Let l(h) = 2*h**2 + 2*h**2 - b*h + 6*h. Calculate l(u(f)). 16*f**4 Let l(f) be the second derivative of -f**4/3 + f. Let i(z) = 2*z**2 + 3. Let u(r) = -6*r**2 - 10. Let m(y) = -10*i(y) - 3*u(y). Determine m(l(x)). -32*x**4 Let z(y) = -2*y. Let h(b) be the second derivative of -3*b**4/2 - b - 13. What is z(h(u))? 36*u**2 Let v(r) = -6501*r. Let q(m) = -3*m. Determine q(v(p)). 19503*p Let d(y) = 7*y. Let w(b) be the third derivative of b**4/24 + 2*b**2. Calculate w(d(t)). 7*t Let h(s) = s**2 + s + 5. Let j be h(0). Let o(d) = j - 5 - d**2. Let f(n) be the first derivative of 2*n**3/3 + 11. Determine o(f(l)). -4*l**4 Let b(s) be the third derivative of 2*s**4/3 - 7*s**2. Let y(i) = -i. What is y(b(t))? -16*t Let d(t) be the first derivative of 2 + 0*t**2 + 0*t + 1/3*t**3. Let l(g) = 4*g**2. Calculate d(l(h)). 16*h**4 Let v(g) = 5*g**2. Let c(h) be the third derivative of 0*h**3 + h**2 + 0 + 0*h**4 + 1/30*h**5 + 0*h. Calculate c(v(r)). 50*r**4 Let k(v) = v**2. Let w(h) = -6262*h**2. Determine w(k(x)). -6262*x**4 Let u(o) = 3*o**2. Let b = 12 - 10. Let j(v) = 3 - 2 + 3*v**b - 1. Determine j(u(c)). 27*c**4 Let q(i) = 3817*i**2. Let g(b) = b**2. Give q(g(h)). 3817*h**4 Let b(m) = 0*m - m - 2*m. Let i(f) = -9*f. Let r(q) = -4*q. Let o(u) = 6*i(u) - 13*r(u). Give b(o(h)). 6*h Let z(x) be the second derivative of -x**3/6 - x - 39. Let d(f) = -95*f**2. Give z(d(l)). 95*l**2 Let d(c) = 16*c - 4. Let b(v) = 81*v - 21. Let a(s) = -4*b(s) + 21*d(s). Let j(x) = -4*x. Give j(a(q)). -48*q Let g(o) = -2*o**2. Let f(l) = -4*l - 2. Let m(n) = -4*n - 2. Let w(r) = 2*f(r) - 3*m(r). Determine g(w(j)). -32*j**2 - 32*j - 8 Let r(j) = -j**2. Let v(q) = 426*q**2. Determine r(v(x)). -181476*x**4 Let k(z) = z**2 - 1. Let u(i) = 4*i**2 - 3. Let x(v) = 3*k(v) - u(v). Let h(g) = -2*g**2. Give h(x(c)). -2*c**4 Let j(w) = -19*w**2. Let a(m) = 4*m. What is a(j(z))? -76*z**2 Let v(k) = -k**2 - 10*k + 13. Let r be v(-11). Let i(w) = -2*w**r - 1 + 1. Let d(n) = -n. What is i(d(u))? -2*u**2 Let y(k) = -k. Let v(n) = 2*n - 12. Let h(x) = -x + 8. Let o(a) = 8*h(a) + 5*v(a). Let d(t) = -2*t - 3. Let f(i) = 4*d(i) + 3*o(i). Determine y(f(u)). 2*u Suppose 4*l = -4*i - 12, i + 0*i + 4*l = -12. Let y(m) be the second derivative of 0*m**2 - 1/3*m**3 + i - 2*m. Let b(c) = 2*c**2. Calculate y(b(r)). -4*r**2 Let p(v) = 0*v**2 + v**2 + v**2. Let j(i) be the second derivative of -i**6/720 - i**4/12 + i. Let l(f) be the third derivative of j(f). Calculate l(p(k)). -2*k**2 Let n(c) = 45*c + 3. Let h(u) = -2*u. Give n(h(f)). -90*f + 3 Let s(n) be the second derivative of n**4/6 + n. Suppose 3*r + 14 = 8. Let i(f) = f. Let j(q) = -q. Let g(d) = r*i(d) - 5*j(d). Give g(s(b)). 6*b**2 Let y(l) = l**2 - 2*l + 1. Let i be y(1). Let m(w) = i + w + 0 + 0. Let p(z) be the second derivative of -z**4/6 + z. Calculate p(m(v)). -2*v**2 Let j(w) be the first derivative of w**2/2 + 20. Let x(h) = 2*h. Give j(x(n)). 2*n Let b(j) = -2*j**2. Let s(l) = 15*l**2 + 16. What is b(s(a))? -450*a**4 - 960*a**2 - 512 Let s(b) = -471*b. Let m(i) = -17*i**2. Determine m(s(j)). -3771297*j**2 Let j(k) = 2*k + 4636. Let d(n) = 2*n**2. Calculate j(d(f)). 4*f**2 + 4636 Let c(z) be the second derivative of -z**3/6 - z. Let r(y) be the third derivative of 0*y - 4*y**2 + 0*y**4 + 0 + 0*y**3 - 1/60*y**5. Calculate c(r(t)). t**2 Let o(f) = 2*f. Suppose -4*j + 3*t = -15, -2*j - 4*t = -6*j + 20. Suppose j = 4*b + b - 15. Let r(k) = -b*k - 8*k + 10*k. Give r(o(n)). -2*n Let i be 4 + -4*1/(-4). Let w(m) = 10*m + 5. Let q(a) = 5*a + 2. Let p(z) = i*q(z) - 2*w(z). Let l(g) = -g. Calculate p(l(h)). -5*h Let j(b) be the third derivative of -b**6/180 - b**3/3 - 3*b**2. Let o(f) be the first derivative of j(f). Let a(k) = -3*k**2. What is a(o(p))? -12*p**4 Let v(j) = -20*j**2 - 25. Let p(h) = 2*h**2. Determine p(v(s)). 800*s**4 + 2000*s**2 + 1250 Let a(y) = -572*y. Let r(d) = 20*d. Determine r(a(j)). -11440*j Let c(g) = 2*g. Let x be (-10)/(-6) - 3/(-9). Let h(j) = -x*j**2 - j**2 + 2*j**2. Calculate c(h(o)). -2*o**2 Let v(a) = -a + 1. Let l(b) = 14*b**2. Give l(v(c)). 14*c**2 - 28*c + 14 Let m(b) = 38*b - 4*b**2 + 9*b**2 - 38*b. Let a(v) = -4*v**2. Calculate a(m(p)). -100*p**4 Let v(r) = 0*r - 2*r + 4*r. Let k(w) = -5*w + 5*w - w - 3*w. What is k(v(n))? -8*n Let y(l) = 2*l + 3. Let u(p) = p + 2. Let s(v) = -3*u(v) + 2*y(v). Suppose -31 + 11 = -4*w. Let z(x) = 5*x - w*x + 4*x. Calculate s(z(t)). 4*t Let c(f) = -33*f. Let u(v) be the third derivative of -v**5/30 + 2*v**2. Calculate u(c(s)). -2178*s**2 Let x(b) = 4*b**2. Let h(m) be the second derivative of -13*m**4/12 - 3*m. What is h(x(f))? -208*f**4 Let q(a) = -1977*a**2. Let s(c) = -4*c**2. Calculate q(s(i)). -31632*i**4 Let s(q) = -5*q - 6. Let n(d) = 6*d + 7. Let w(l) = -6*n(l) - 7*s(l). Let g(o) = 5*o. Calculate w(g(r)). -5*r Let h(s) = 4*s - 6*s + 0*s. Let q(i) = -2. Let b(p) = p - 9. Let n be 4/(-8)*(2 - -34). Let r(x) = n*q(x) + 4*b(x). Calculate h(r(g)). -8*g Let q(r) = 28*r**2 + 2*r. Let b(v) = 13*v. What is q(b(t))? 4732*t**2 + 26*t Let h(w) = -w. Let o(l) = -l**2 - 58*l. Determine o(h(y)). -y**2 + 58*y Let g(i) = 4*i**2. Let y(z) = -10*z + 7*z + 5*z. Let p be y(1). Let s(d) = 1 - p*d + 3*d - 1. Give g(s(f)). 4*f**2 Let k(p) = -p**2 + 2*p**2 + 0*p**2. Let s(t) = t**2 - 1. Let i = -7 + 10. Let c(a) = 6*a**2 - 7. Let d(l) = i*c(l) - 21*s(l). Give d(k(q)). -3*q**4 Let a(f) = 4*f**2. Let o(b) = 52*b. Calculate a(o(i)). 10816*i**2 Let q(k) = k - 1. Let x(d) = -2. Let l(u) = -4*q(u) + 2*x(u). Let m(s) = 2*s**2 - 5*s**2 + s**2 - s**2. Give m(l(n)). -48*n**2 Let l(r) = -3*r. Let f(p) = 8*p + 13*p - 7*p. Give f(l(c)). -42*c Let t(m) = -2*m**2. Let y(h) = -1070*h. Calculate y(t(w)). 2140*w**2 Let h(t) = 2*t**2 - 2*t. Let y(v) = 2*v**2 - 3*v. Let g(z) = 3*h(z) - 2*y(z). Let j(d) = 6*d + 0*d - 5*d. What is j(g(i))? 2*i**2 Let k(h) = 9*h + 5. Let y(l) = -55*l**2. What is k(y(o))? -495*o**2 + 5 Let c(r) = 53*r**2. Let b(a) = -288*a**2. Give c(b(h)). 4396032*h**4 Let n(r) = 26*r - 17*r - 11*r. Let o be 0 + 3 - (2 - 1). Let x(l) = 4*l**2 - 2*l**o + l**2. Determine n(x(s)). -6*s**2 Let a(m) = -2*m**2 + 148*m - 6*m**2 - 148*m. Let f(u) = 3*u. Determine f(a(k)). -24*k**2 Let p(u) be the third derivative of u**4/24 + 3*u**2. Let z be -2*1 + 2 + 1. Let y(s) = s - 1 + z. Determine y(p(m)). m Let j(y) = -y**2. Let n(a) = a**2 - 4*a**2 - 2*a**2. Calculate n(j(k)). -5*k**4 Let p(d) be the second derivative of -d**3/6 - d. Let u(s) = -19*s - 1 + 1 + 21*s. What is u(p(l))? -2*l Let j(a) = 3*a - 16. Let t(s) = 18*s. What is t(j(h))? 54*h - 288 Let p(v) = -3*v - 36 + 2*v + 36. Let b(y) = -18*y**2. Determine p(b(l)). 18*l**2 Let p(x) = 3*x**2. Let q(y) = 31*y**2. What is q(p(i))? 279*i**4 Let l(u) = 3*u - 12*u - 4 + 4. Let c(h) = -3*h. Calculate c(l(b)). 27*b Let g(c) be the first derivative of 3/2*c**2 + 0*c - 2. Let a(j) = 3*j. What is g(a(i))? 9*i Let j(z) be the first derivative of -2*z**3/3 + 96. Let m(x) = -x**2 + 0*x**2 - x**2. Determine j(m(k)). -8*k**4 Let g(x) = 2*x**2. Suppose 5*z - 15 + 5 = 0. Suppose -z - 6 = -4*b. Let w(t) = 2*t**b - 2*t**2 - 2*t**2. Calculate w(g
{ "pile_set_name": "DM Mathematics" }
number? True Let v(a) = -2110*a - 21. Let l(y) = -27*y - 247. Let c be l(-9). Is v(c) composite? False Let v(n) = -347003*n**3 - 16*n**2 - 19*n - 1. Is v(-1) a composite number? True Let m(a) = -a**3 + 11*a**2 - 5*a - 19. Let u be m(10). Suppose 18*p - 5 = u. Suppose -o + 215 = -g - g, 5*o - p*g = 1059. Is o a prime number? True Suppose 10*j - 5*j + 1765 = 0. Let s be ((-21)/6)/((-5)/520). Let l = s - j. Is l prime? False Is (-29 + (-19 - -41))/(1/(-71699)*1) prime? False Suppose 0 = 3*b - 5*d - 984, 4*d + 2 = -10. Let u = 2256 + b. Is u composite? False Suppose -4*k + 5*p - 9491 = 0, 0 = 5*k - 7*p + 3*p + 11866. Let q = k + 11151. Is q prime? False Let x(d) = -4*d + 16. Let m be (1 + 1)/((-3)/(-6)). Let y be x(m). Suppose 5*q + 2*s = 7415, y = 3*s - s - 10. Is q composite? False Let v = -208 + 208. Is 6531 + (8 - -2) + v/(-2) a composite number? True Suppose 0 = 3*h - 5*o + 5, o + 1 = 2*h - h. Suppose -4*j + h = -3. Suppose -j*i - 1912 = -4*n, -2*i + 912 + 50 = 2*n. Is n a prime number? True Let q = 6116 + -2283. Let w = 9322 - q. Is w a composite number? True Suppose 0*h - 3*g = -5*h + 310425, -4*g = 0. Suppose -5*i - 12446 = -b, 4*i = -0*b - 5*b + h. Is b prime? True Let z = -11542 - -21621. Is z prime? True Suppose -3 = -12*q - 27. Let u(r) = -293*r**3 - 5*r**2 - 7*r - 5. Is u(q) a prime number? True Suppose -1324 = -4*q + 2260. Let c = -217 + q. Is c a composite number? True Suppose 0 = 5*z - u + 2*u - 59, 21 = 2*z + 3*u. Let j(s) = 189*s - 55. Is j(z) a prime number? True Let s(b) = -b**3 + 64*b**2 - 94*b - 352. Is s(55) a composite number? True Let x = -860 + 23. Is (116/(-12))/(9/x) composite? True Suppose 385 = 11*v - 605. Suppose 4*l - 12*i + 13*i = 428, -l = -4*i - v. Is l composite? True Let u = 22055 - 1206. Is u a prime number? True Is 3816 - (952/392 + (-6)/14) composite? True Let n = 47142 - -15029. Is n composite? False Suppose 4 = -k, -824 = 4*q - k + 3*k. Let f = q + 395. Is f composite? False Let r = -15 - -6. Let f(z) = 196*z**2 + 6*z - 7. Is f(r) a composite number? True Let v(c) = -804*c**2 + c + 2. Let a be v(-1). Let y = 246 - a. Is y composite? False Suppose q + q = -660. Is 2 - (0 - -1) - q composite? False Let q = -5 + 8. Let g be 0/(2 - 2 - -2). Suppose q*s + 2*s - 785 = g. Is s a composite number? False Let g(i) = 17*i**2 - 7*i + 31. Let q be ((-24)/(-12) - 17*1) + 5. Is g(q) a prime number? True Let p(b) = -b**2 + 18*b - 21. Suppose 8*d - 95 = 41. Let m be p(d). Is 2031/(m/((-48)/9)) + -1 a composite number? False Let m(c) = 71*c**2 - 4*c - 5. Let v be m(-4). Let t = v - 517. Suppose -3*n = -993 - t. Is n a composite number? False Let s(b) = -7*b**2 - 848*b - 68. Is s(-101) prime? True Let o(w) = -41*w + 1058. Let p be o(26). Let d = -10 - -14. Is 1 + 686 + p + d a composite number? False Let o = 15 + -17. Let d(z) = -233*z + 391 - 390 - 441*z. Is d(o) a prime number? False Let i(q) = -13777*q + 3904. Is i(-19) prime? False Let z = -29631 + 44134. Is z prime? True Let l(d) = d**2 + 12*d - 1. Let q(i) = i**2 + 14*i - 2. Let u(f) = -4*l(f) + 3*q(f). Let t be u(-5). Is 9786/28*2/t a prime number? True Let g be (-2 + 1)/((-4)/(-40)). Let b be 5/g - 0 - (-1)/2. Suppose 2*x - 2*i - 1334 = b, 5*x - x = -2*i + 2668. Is x a composite number? True Is (-9)/(99/(-182732)) + (-2 - (-10 + 1)) composite? False Let x(l) = -l**3 - 7*l**2 + 3*l + 5. Let i be x(-7). Let o(q) = -9*q**3 - 6*q - 4*q**2 + 23*q**2 + 9*q**3 - 35 + q**3. Is o(i) prime? True Suppose 2*r = -5*s + 2009, -2*s + 21*r = 20*r - 800. Let x = -274 + s. Is x composite? False Let n be 10*(-2 - (-12)/8). Let c(f) = -11*f**3 - 3*f**2 - 5*f + 2. Is c(n) prime? True Let j(i) = -31*i + 24. Let z = -81 + 72. Is j(z) a prime number? False Let j be ((-8)/6)/((-8)/(-6) + -1). Let i = j - -9. Is i*5/50 - (-6002)/4 a prime number? False Suppose -g + 2 = 0, 3*w + 2283 = -2*g + 5*g. Let n = -333 - w. Let a = n + 5. Is a a prime number? True Let u = -3380570 + 4842203. Is u a prime number? False Let k(m) = 15914*m**2 - 165*m + 10. Is k(3) composite? True Let j = 382777 + -140406. Is j prime? True Is 3/(-27)*2 - (6 - (-19937235)/(-135)) prime? False Let t = 90505 - -128344. Is t prime? True Let a = -354 + 330. Is 7769*-8*3/a prime? False Let c(v) = -50749*v - 91. Is c(-6) a composite number? True Let o(u) = 162*u - 6. Let x be o(2). Suppose -2*t = -5*f - x, 0*t + 2*f = 3*t - 477. Let l = t - -3480. Is l a composite number? True Suppose -9*v + 4*g + 20170 = -4*v, 2*v - 8056 = 4*g. Is ((-10)/(100/v))/((-2)/10) prime? False Suppose 4*m - 3*b - 3068 = 0, 3*b = 5*m + 2*b - 3835. Suppose -m*v + 762*v + 90065 = 0. Is v prime? True Let i = -1001 + 339. Let p = 997 + i. Is p prime? False Let t(k) = 8*k**2 + 151*k - 47. Is t(76) a composite number? False Let j(d) = d + 19 + 2*d + 1. Let z be j(-7). Let c(k) = -159*k - 2. Is c(z) composite? False Let u(v) = -674*v**3 + 8*v**2 - 137*v - 941. Is u(-6) prime? True Let k be 5*((-20)/(-35) - 6/(-14)). Suppose k*t = 4*m - 149373, 5*m = -5*t + 85174 + 101486. Is m composite? False Suppose 3 = 31*z - 30*z. Suppose -q - 2*x = 3*q + 9648, -z*x = -3*q - 7245. Let t = -440 - q. Is t composite? False Let z(s) = 22*s**2 + 294 - 395 - 11*s**2 + 0*s**2 + 14*s**2 + 21*s. Is z(11) a prime number? False Suppose 2*k = -38*k + 9240399 + 2928921. Is k a composite number? True Let o(d) = -15*d + 29. Let s be (-16)/3*(-6)/(-4). Is o(s) a composite number? False Let w = -1008037 - -2190290. Is w prime? True Is (-10)/4 + (-3 - 2355558/(-12)) a prime number? True Let t(j) = -j**3 - 7*j**2 + 4. Let m be t(-7). Suppose 7 = -4*p + 2*o + 15, -3*p = -o - m. Suppose -b = p, -3*l + l - b = -818. Is l composite? False Let o(g) = -8*g**2 + 33*g - 16. Let w be o(14). Let a = w + 2081. Is a composite? True Let u = -115 + 172. Let i = u + -62. Is 3*4/(-30) + (-807)/i composite? True Let x be -7 + 10/1 + -3. Is (-4 - -150)*(x + 17/2) prime? False Let a(h) = 10*h**2 + 10*h - 34. Let y(d) = -29*d**2 - 31*d + 102. Let s(x) = -8*a(x) - 3*y(x). Is s(-15) composite? True Suppose -54432 - 83895 = 147*v. Suppose -2*p - 2305 = 2*p - d, -3 = -3*d. Let m = p - v. Is m a composite number? True Suppose -h + 2 = 3, 2*n + h = 7. Suppose -4 = 5*c + 1, n*c = -3*a + 2474. Suppose -r = o + r - 411, -2*o - 2*r + a = 0. Is o composite? True Suppose -6*k + 212 = o - 5*k, -4*k = -o + 197. Let z = o - -14. Is z a composite number? False Let f(y) = -43*y**3 - 11*y**2 + 31*y + 110. Is f(-13) prime? False Suppose -14*m + 5*m = -25479. Suppose -9*y + m = 10*y. Is y composite? False Let c(d) be the third derivative of -d**6/120 - d**5/60 + d**4/24 + 7*d**3/6 - 8*d**2. Let i be c(0). Suppose t + 258 = i*t. Is t a prime number? True Let f = 782130 + -481423. Is f composite? True Let l(a) = -2*a**2 - 3498. Let m be l(0). Let w = m + 5412. Let b = -553 + w. Is b composite? False Let p = 132 + -131. Is 14366/((p + -2)/(1/(-2))) composite? True Suppose 0 = -2*b - 4*a + 12128, -25*b + 28*b + a = 18192. Suppose 11*j - b = -5*j. Is j a composite number? False Suppose -21 = 4*x - 265. Let j = -60 + x. Is ((-1274)/(-2) + -1 + -1)/j a composite number? True Suppose q + 2*f - 97211 = 0, 127*q - 131*q + 3*f = -388855. Is q composite? False Let k(y) = -5283*y - 37. Suppose -25*r = 16*r + 82. Is k(r) a prime number? True Let u be 0 + 2 + 0 + -2. Suppose -z + u*z = 6. Let y(w) = -2*w**3 - 4*w**2 + w + 11. Is y(z) a prime number? True Let q(n) = n**3 + 48*n**2 - 377*n + 77. Is q(-50) a prime number? False Let z(o) = 2*o**2 - o - 517. Let v(t) = -3*t**2 + 2*t + 1032. Let a(y) = 3*v(y) + 5*z(y). Is a(0) prime? False Let o be (-88)/12 + 7 + 119770/30. Suppose 0 = 5*z - 319 - 436. Let b = z + o. Is b composite? True Let s be ((-3)/(45/(-1210)))/(2/6). Let d = s - 451. Let b = d - -358. Is b composite? False Suppose -3*d - 45*w + 47*w + 760205 = 0, -3*w + 506812 = 2*d. Is d composite? True Let y be (-616)/(-18) + 6/(-27). Suppose 28428 = y*h - 30086. Is h composite? False Let q be (10/14)/(-5) - 4650/(-14). Suppose 0 = 5*f + q - 2747. Suppose f = 5*z - 182. Is z a prime number? False Let a(i) be the third derivative of -455*i**4/24 + 4*i**3 - i**2 + 47*i. Is a(-10) a composite number? True Suppose -2*n = 3*y - 6*y + 15965, 4*y + 2*n = 21310. Let f = y - -614. Is f a prime number? True Suppose -2*w = -l + 1, 0 = -4*w + w - 3*l
{ "pile_set_name": "DM Mathematics" }
6) a composite number? False Let a be ((-4)/(-5))/((-8)/20). Let m = a - -8. Is m composite? True Suppose 3*h - 29 - 7 = 0. Let c = h - 6. Let p(g) = g + 8. Is p(c) a composite number? True Suppose 3*n = -5*a + 1090, n - 3*a - 368 = -0*n. Is n a prime number? False Suppose 4*x - 40 = -2*l - 4, 0 = 3*x - 12. Is l a prime number? False Let b(m) = -m + 119. Is b(0) composite? True Is (2722/(-4))/(4 + (-18)/4) composite? False Suppose 0 = -s + t + 636, -3*s + 1898 = -0*t - t. Is s a prime number? True Let u(c) = 14*c**2 + c. Let z(g) = g**3 - 6*g**2 - 8*g + 8. Let y be z(7). Let w be u(y). Let x = w - 0. Is x composite? True Let t = 5 - 2. Suppose -2*x + 35 = t*x. Is x a composite number? False Let g = -19 - -127. Let r = 19 - 90. Let i = g + r. Is i a composite number? False Let m = 7 + -5. Suppose -44 = -b - 4*p + 51, -p = -m. Is b prime? False Let t be (-4)/(-4) - 2 - -92. Let n = -54 + t. Is n prime? True Suppose -7*m + 20 = -2*m - 5*b, -2*m - 2*b + 8 = 0. Suppose 5*h - 10 = 0, -m*h = 3*a - 7*a + 300. Is a prime? False Let w be (8/14)/(2/7). Suppose 0 = -2*j - w*j + 628. Is j composite? False Suppose 124 = 9*j - 5*j. Is j a composite number? False Suppose 3*a + 4 = 4*m, -4 = m - 0*a - 2*a. Suppose -i - i - 107 = -o, 0 = -m*o - 4*i + 452. Is o a prime number? False Let g(d) = d**2 + 5*d - 2. Let j be g(-6). Suppose -j*i - 11 = 5, -l + 6 = -i. Suppose -44 = -l*r - 2*r. Is r a prime number? True Let w(x) = 3*x**2 - x - x**2 - 1 + 0*x**2. Let v be w(-1). Is (49 + 0 - v) + 0 a prime number? True Let j be 3 + (-3)/(-1)*-1. Suppose 8*w - 5*w = 5*z - 234, -z - w + 50 = j. Let u = -33 + z. Is u a composite number? True Suppose -928 = -5*j - 3*t, -2*j + 267 + 93 = 4*t. Suppose 0 = 5*f + 2*s - 1109, j + 273 = 2*f - 5*s. Is f a prime number? True Suppose 2*u = -2*j, -2*j - 8 = 3*u - 5*u. Is 16 + (-1 - -1 - u) a prime number? False Let p(x) be the third derivative of 4*x**4/3 - 11*x**3/6 - 2*x**2. Is p(5) a composite number? False Let u(f) = -f**3 + 3*f**2 + 15*f + 3. Let k be u(7). Let s = k + 237. Is s prime? True Let r = 316 - 222. Let s(v) = v + 3. Let o be s(0). Is r*(o + (-5)/2) a composite number? False Let j = 13 - 11. Is (39/26)/(j/20) a prime number? False Let u(g) = -g**3 + 5*g**2 - 2*g - 7. Let c be u(3). Suppose -c*d + t + 3*t = -1319, -3*d + 813 = 3*t. Is d composite? True Let a(g) = 3*g**2 - 5*g - 4. Let m be a(4). Suppose -m + 1679 = 5*j. Is j a prime number? True Let f(t) = 7*t**2 + 3*t - 5. Let z be f(-7). Let s = -224 + z. Is s a prime number? False Suppose f + 2*c = 295, -f - 5*c + 266 = -20. Is f a composite number? True Let v(i) = -61 + 2*i**3 + 4*i + 122 - 65 - 3*i**2. Suppose -u - 1 + 4 = 0. Is v(u) a prime number? False Is 1877/4 + (-9)/36 a composite number? True Suppose -3*i + 6*i - 12 = 0, 2*q = -5*i + 246. Is q a composite number? False Suppose -4*w + l - 673 = 0, 2*w - 44 = 2*l - 376. Let u = -26 - w. Is u composite? True Is 113 + (-4)/(-8)*4 composite? True Let u(c) = -c**3 + 15*c**2 + 11*c - 10. Let g(z) = -2*z - 9. Let n be g(-12). Is u(n) composite? True Let f(v) = -v**3 + 6*v**2 + 8*v - 4. Let g be f(7). Suppose g*i - 84 - 21 = 0. Is i a prime number? False Suppose 2*x = -x - 4*h - 11, -5*h - 34 = -3*x. Suppose -9 - x = -4*n. Suppose m + 5*b + 35 = 6*m, -n*m - 3*b = -15. Is m a composite number? True Suppose 0*u + 3*u = 0. Suppose 11 = -r + 143. Suppose u = 3*b - 33 - r. Is b prime? False Suppose -w - 4*w + 5904 = -4*r, 0 = -2*w - 8. Let u = r + 2320. Is u a composite number? False Suppose 4*k - 17 = 291. Is k prime? False Let g(d) = -20*d - 3. Let a be g(-6). Let s = -28 + a. Is s a composite number? False Suppose -13*y = -15*y + 1774. Is y prime? True Let n be (-1)/(-3) + (-12)/9. Suppose -2*x - 13 = 19. Let c = n - x. Is c a prime number? False Let w(h) = -2*h + 1. Suppose -5*d = -2*d + 6. Let p be w(d). Suppose 0*r - 4*n = 5*r - 145, -180 = -p*r + 3*n. Is r prime? False Let w(j) be the third derivative of -j**6/120 + j**5/30 - j**4/6 - j**3/6 + 3*j**2. Let y be w(-4). Let m = -14 + y. Is m a prime number? True Let w be (-5)/2*12/(-15). Suppose -w*y + 3*h + 8 = 0, -3*h - 4 + 0 = -y. Suppose -y*j - 12 = 0, 8*r - 4*j = 3*r + 247. Is r composite? False Let n(u) = -u**2 - 14*u - 1 + 5 + 2. Is n(-7) a prime number? False Suppose -169 = 3*n - 1000. Suppose 5*a - n = -3*r, -r + 66 + 21 = -a. Is r a composite number? False Suppose 0 = -x - 4 + 7. Suppose x*v = 124 + 125. Is v a prime number? True Let w(f) = -41*f**3 + 3*f**2 + 5*f + 4. Is w(-3) a prime number? True Let f(z) = 291*z + 4. Is f(3) prime? True Suppose 48 = -4*k - 3*b - 16, 4*k - b + 64 = 0. Let h = 9 - k. Is h a prime number? False Let i(j) = 2*j**3 + 8*j**2 + 4. Let p be i(-4). Suppose -5*b - 90 = -4*s + s, 3*s - p*b = 93. Is s a prime number? False Suppose 634 = p + p. Is p a composite number? False Suppose 4*r = -g + 9, 4*r - 17 = 4*g + 27. Let u = 11 + g. Is u a composite number? True Let v(m) = 2*m**2 + 11*m + 6. Let s be v(-8). Let a = s - -81. Is a a composite number? False Let n be (-3 - -5)/(4/6). Suppose 4*u - 2*b - 85 = 3*b, -4*u + n*b + 75 = 0. Is u a composite number? True Let d = -9 - -5. Is ((-106)/4)/(d/8) a prime number? True Suppose 6*d = 3*d + 744. Suppose -2*z - d = -3*l - 7*z, 3*l = 2*z + 241. Suppose 5*w + l = 3*c, 0*w = 4*c + 2*w - 82. Is c a composite number? True Suppose -484 = 3*o + 125. Let b = -124 - o. Is b composite? False Let k(b) be the first derivative of 3*b + 2 - b**2 - 1/4*b**4 + 5/3*b**3. Is k(3) composite? True Suppose -3*v = 3*v - 3378. Is v a composite number? False Let x be 53 - 0*(-2)/6. Let n = 162 - x. Is n composite? False Suppose a + 4*a + 34 = 4*k, 0 = 2*a + 2*k + 10. Let m(y) = -2*y**3 - 7*y**2 - 3*y + 1. Is m(a) a composite number? False Let c(n) = n**3 - 6*n**2 + 2*n - 10. Is c(7) a composite number? False Suppose 20 = -2*z + 4*z. Let l(d) = -d**2 + 9*d + 12. Let t be l(z). Suppose -t*n + 91 = -j, 4*n - 5*j = 5*n - 51. Is n a prime number? False Let z(a) = -3*a**3 + 24*a**2 + 5*a + 7. Is z(6) composite? True Suppose 0 = a - 0 + 2. Let s(n) be the third derivative of n**5/12 + n**4/24 + n**3/6 - n**2. Is s(a) a composite number? False Let z(y) be the second derivative of -5/2*y**2 + 1/6*y**4 + 0 - 1/2*y**3 - 2*y. Is z(6) composite? True Suppose -1965 = -2*k + k + 5*s, -4*k = -3*s - 7792. Is k a prime number? False Let z = 253 + -368. Let a = -38 - z. Is a prime? False Let s be (2 + -2 + 1)*3. Suppose 186 = -3*l + s*q, 2*q - 71 = l - 2*q. Let b = l - -93. Is b a prime number? False Let c be 3*12/(-9) + 11. Let m = 48 + c. Is m prime? False Let s(o) = -2*o + 44*o + o - 4 + 20*o. Let d be s(4). Suppose -y + 11 = -d. Is y prime? False Let t(r) = r**2 + 4*r - 2. Let u(a) be the second derivative of -a**4/2 + a**3/3 - a**2/2 - 2*a. Let c be u(1). Is t(c) a prime number? True Let n(t) be the second derivative of 2/3*t**3 + 5/12*t**4 + 0 + t**2 - t. Is n(-2) prime? False Suppose 4*n = 6*n - 2998. Is n a prime number? True Suppose 2*x + 2 = -110. Let w = x + 95. Suppose -21 - w = -4*u. Is u a composite number? True Let x be 6/(-9) + 3098/3. Suppose l + 2*v - 292 = 0, 2*v - 142 = -4*l + x. Is 2/(-4*(-3)/l) prime? False Let c be (-22)/(-6) - (-2)/(-3). Let r(v) = -c*v**2 - 3 - 2*v + 3*v**2 + v + v**2. Is r(7) a composite number? True Suppose -4*a - 12 = -40. Let m(r) = 3*r**2 + 2 - 12*r + 3*r - 1. Is m(a) prime? False Suppose 0 = 5*n + r - 3 - 35, 4*n - 34 = -2*r. Suppose n*d = 3*d + 1864. Suppose d = 3*q + i, 5*q - 5*i + 0*i - 810 = 0. Is q a composite number? False Suppose -19 = 2*n - 7. Let u = n + 4. Is (3 + u)*(1 + 13) a prime number? False Suppose 4*c + 6 + 10 = 0. Let n = c + 6. Suppose 25 = n*b - 229. Is b a composite number? False Let j(p) = 24*p - 2. Suppose -k - 3*i + 17 = 0, 3*k - i + 3 - 4 = 0. Is j(k) composite? True Let y(s) = 151*s - 13. Is y(12) composite? True Let g(d) = -2*d - 12. Let u be g(-9). Let l = -4 + u. Is l - (-1)/1*35 composite? False Suppose -26 + 6 = -5*m. Let c be (-1)/m - (-930)/(-24). Let q = 64 + c. Is q prime? False Let c(o) be the second derivative of -o**4/12 + 5*o**3/6 - o**2/2 + o. Let w be c(3). Suppose -274 = -w*h + m, -2*h - m = 2*h - 221. Is h prime? False Let n(i) = 5273*i**2 - i - 1. Is n(-1) prime? True Let g be 504 + (-2)/(-2) + 2. Suppose g = 4*d - k, k + 2*k = d - 124. Le
{ "pile_set_name": "DM Mathematics" }
(-16 - -1)) + -12. -1 Evaluate 14 - (-18 + 12 + (-3 - -3)). 20 Evaluate 829 + -818 - (3 + -1 + 2 + 0). 7 What is (-350 - -348 - (7 - (-2 + 1))) + 5? -5 What is (7 - (-6 - -7)) + -17? -11 Evaluate 5 - (47 - -1 - 17). -26 Evaluate (62 - 48) + 2 + -3. 13 What is 29 + -20 + 3 + -22? -10 What is -8 + -5 + (22 - -5)? 14 (-36 - (-10 - -2)) + (-2 - (3 + -1)) -32 What is the value of -4 - ((4 - -3 - (4 + -2)) + -6)? -3 What is the value of 15 - 3 - (19 - 2) - 10? -15 -8 + 2 + (57 - (19 - -35)) -3 (10 - (-2 - -5)) + -2 + 0 5 1 + 0 + 17 + -4 14 Evaluate -11 + 20 - (4 + 23 + (-3 - -9)). -24 Evaluate -1 + 9 + -6 - -9 - (1 + 1). 9 (11 - (-9 - -15)) + 7 12 Evaluate -37 - 9 - -42 - 22. -26 Calculate 14 - (-23 + 21 + 0). 16 Calculate 8 - ((6 - 9 - -4) + 2). 5 What is the value of -18 + -19 + 40 - (-3 - 1 - -22)? -15 What is (10 - (4 - (13 - 27))) + -21? -29 What is the value of -11 + 20 - (4 + 11)? -6 What is the value of 3 - (11 + -19 - 8)? 19 What is the value of 12 - 2 - 12 - (-11 + -3)? 12 Evaluate -16 + -26 + 18 - -48. 24 What is (0 - -8) + (-40 - -14) + -3? -21 Evaluate 42 - (46 + -19) - 21. -6 -16 - -1 - (-16 + -6) 7 Calculate (-22 - 13) + 15 - -8. -12 Calculate -51 - 0 - (126 + -157). -20 Calculate 22 + 14 + -33 + -14. -11 1 + (8 - (5 - (1 + -3 + 4))) 6 4 - (15 - (2 - (-9 + 2))) - -22 20 Evaluate 29 - (28 - 1) - -9. 11 What is the value of 41 - (43 + (-28 - -7))? 19 Evaluate -6 + (34 - 7) - 21. 0 Evaluate -9 + (47 - (7 - 7) - (12 - 4)). 30 Calculate 2 + -11 + (26 - (17 + -4)). 4 5 + (-36 - -10) + 16 -5 Calculate -9 + -7 + 12 + 1. -3 -13 + 6 + -5 + -1 + 2 + -1 -12 What is 1316 + -1285 + (-2 - 6 - 1)? 22 What is 9 - (-5 - ((-8 - (8 + -1)) + 3))? 2 12 + 1 + 20 + -12 + -17 4 -19 - (20 - (9 - -20)) -10 What is 17 + (-5 - 0 - (5 + -7)) + 1? 15 Calculate -5 - (-13 - -3) - 1. 4 What is -12 + 4 + -57 + 57? -8 Calculate 14 - (10 - 12) - 19. -3 What is the value of -40 - (-39 + 17 + 4)? -22 Calculate 1 + -3 - (40 - (19 + 9)). -14 What is 25 - 26 - (-2 + (-1 - 8))? 10 Calculate (62 - 56 - (3 - 2 - -14)) + -2. -11 Calculate -39 + 26 + 5 + 1 + 6 + -11. -12 Calculate 3 + 4 + (9 + 0 - (13 - -14)). -11 Evaluate (6 - -11) + (13 - (13 + -10)). 27 Evaluate 1 + -1 + (9 - (-4 + 7 - -3)). 3 Calculate 8 + -13 + 4 + -1 + 6. 4 What is 9 + (-7 - -4) + (-5 - (0 + 3))? -2 What is the value of (6 - 0) + 2 + -7 + -10 + 18? 9 3 + 10 - (-17 + 15) 15 What is 5 + 10 + -1 + -8? 6 What is 18 + (-4 - 5) + -6? 3 Evaluate 15 + (-10 + -3 - -10). 12 Calculate (7 - (5 - 1) - 21) + 5. -13 What is -4 - (25 + -7) - (11 - 6)? -27 1 + -9 - (-13 + 57 + -43) -9 4 + 3 + -20 + 19 6 What is 131 - 140 - (4 - 1)? -12 Calculate -3 + 2 - 3 - (78 - 68). -14 What is the value of ((25 - 6) + -8 - 7 - 11) + 6? -1 What is the value of -26 + 38 - ((-3 - -3) + 5)? 7 What is 28 + -1 + 112 + -114? 25 What is (-13 + 4 + 12 + -9 - -2) + -9? -13 What is the value of (0 - (-4 + (-2 - -7))) + (-15 - -9)? -7 What is 25 - 5 - (4 + -7 + 5 + 6)? 12 23 + (3 - (12 - 9)) + 3 26 3 - (6 + -2 + 5) - (-6 - 7) 7 Calculate 32 + (15 - (-28 - -48)). 27 (0 - 9) + (-34 + 42 - (2 - -11)) -14 Calculate 0 + 14 + -1 + -15 - -13. 11 What is 16 + 20 + -6 - (12 - 2)? 20 What is the value of -3 + -5 + (2 - (3 - 6)) + 4? 1 25 - (41 - 31) - 33 -18 What is (-6 - -6) + (-17 - -9) + 5? -3 Calculate (6 + 3 - 6) + -2. 1 What is 9 + (-11 - -8 - 4) + -4? -2 What is the value of -10 - (-7 + 4 - -5 - -3 - 2)? -13 7 + (2 - 12) - (-4 - 0) 1 What is -3 + 5 + -2 + (0 - -4)? 4 Evaluate 4 - -25 - 2 - 14. 13 Calculate -35 + 31 + 0 + 1 - (-17 - -13). 1 What is the value of -1 + 3 - (9 - (14 - -2))? 9 Calculate (1 - 0) + 14 + 1 + 47 + -48. 15 What is 8 - (-15 + 16) - (12 + -4)? -1 What is the value of -219 - -205 - (9 + -3 - 35)? 15 Calculate (4 - (-3 + -7 - -6)) + 1. 9 Calculate 0 + -32 + (20 - -10). -2 Calculate 18 - (16 - (-30 - -32)). 4 Calculate -6 - (2 - 4) - 8. -12 Evaluate 0 - (18 + -10 - 4). -4 974 + -953 + (-39 - 1) -19 Evaluate 18 - (-16 - (2 - (16 + -7))). 27 What is 3 - -1 - (5 - 4) - 5? -2 Evaluate (-7 - (-4 - 2)) + (-10 - -6) + -19. -24 47 + -46 + (0 + 0 - (-25 - -29)) -3 (107 - 119) + -10 + (-4 - -1) -25 What is the value of 7 - (-7 + 2 - (-2 - (-4 + 3)))? 11 (-1 - 0) + 12 + 34 + (-47 - -10) 8 Evaluate 1 - -8 - (0 - (3 + (7 - 10))). 9 -5 - (-12 + 8 + -7 + 13) -7 What is the value of -8 - (4 - (17 + 4) - 6)? 15 Evaluate -8 - (-1 + -11 + 3 + 8). -7 What is the value of 14 + -16 + 19 + -5? 12 What is -30 + 46 - (1 + 35)? -20 Evaluate 10 + 2 + 30 + (-26 - -1). 17 Calculate 21 + 9 + (-3 - 27). 0 Calculate -76 - -37 - -37 - (28 - -2). -32 What is the value of -51 + 1 + 10 + -63 + 69? -34 What is the value of -47 + 24 + 12 - 5? -16 What is the value of (10 - 4) + -20 + 5 + 0? -9 What is the value of (-5 - -24) + (6 - 30)? -5 Calculate (-35 - -11) + (9 - -3). -12 Evaluate 25 + 23 + (-27 - -2). 23 What is the value of -3 - (36 - (2 + -3) - (75 + -71))? -36 What is the value of 5 - 0 - (15 - (-11 - -31))? 10 Evaluate 6 - (5 - (6 + 10)). 17 Evaluate 0 + -6 + (21 - 11 - 2) - -2. 4 Evaluate (-43 - -24) + 16 + 24. 21 What is the value of 1 + (-5 + 23 - (-10 + 2 + 8))? 19 What is -219 + 201 + (8 + -2 - -1) + -2? -13 What is 2 - 0 - (-8 + 2 - -15) - -20? 13 Evaluate 25 - -1 - (59 + -7). -26 Evaluate 43 + -16 - 5 - -5. 27 What is the value of 631 + -620 - (2 - 2 - (1 + -1))? 11 -25 + (-11 - 16) + 54 2 Calculate 6 + 1 + (6 - (-1 - (4 - 14))). 4 What is the value of -9 - (7 - (-7 + 6 + 8 + 21))? 12 What is 10 - (13 + (-19 - -20))? -4 -11 - (-8 + (-16 - -4)) - 10 -1 1 + 7 + (-4 - (-28 - -13)) + 11 30 Evaluate 0 + 5 - (-9 + 15). -1 -1 - (-30 - (11 + -63)) -23 Calculate 1 + -11 - (-5 - (56 - 55)). -4 Calculate 0 + -2 + -5 + 3 + -1 + 2. -3 Calculate 0 - ((18 - -1) + -6) - -20. 7 Calculate (-13 - -26) + 1 - (-4 - (4 + -14)). 8 What is the value of 4 - 0 - (-30 - (-39 + 11))? 6 -19 + (-11 + -13 - -16) + 17 -10 What is the value of 0 + (-12 - -7) + -16? -21 Evaluate -30 - (-6 + -25) - -20. 21 Calculate -2 - (2 - (-6 - (5 + -5 + -5))). -5 Calculate -16 + 1 - (-84 + 61) - 1. 7 What is the value of 9 + (-25 - -3 - -12)? -1 -11 + (13 - 7) + 6 + 3 + -6 -2 What is the value of (-40 - -27) + (4 - -15)? 6 Calculate (12 - (-14 + 24)) + 16. 18 What is the value of -14 + 18 + 1 + 1 - -1 - 24? -17 Calculate 14 - (-21 + 17 + -12) - 13. 17 Calculate 6 + (-11 - -13 - -12 - 45). -25 -6 + (7 - (4 + -2 - 4) - 3) 0 What is the value of (-1 - 5) + -1 - (-584 - -579)? -2 Evaluate 4 + (-2 + 1 - (1 + 1 + 8)). -7 Calculate 3 - (1 - (-1 - (-2 + -5) - 5)). 3 Calculate 378 + -396 + 2 + -2. -18 What is (-26 - (18 + -43)) + 18? 17 Calculate (9 - 8 - -11) + -31. -19 Calculate 12 + 6 + (6 - 9) - 10. 5 Calculate 22 + (-5 + -4 - (7 + (-1 - 6))). 13 (15 - 7 - 17) + 4 + -6 -11 What is -19 - -3 - (-3 - ((-6 - -5) + -6))? -20 Evaluate (-13 - 5 - -8) + (11 - 10) - -13. 4 Evaluate 13 - ((7 - (9 + 0)) + 8 + -15). 22 What is -18 - (-32 - (-37 - -41))? 18 Evaluate (111 - 66) + -14 + 1 - 9. 23 3 + -1 + (0 - 22 - -34) 14 -13 + 5 - (-25 - -16) - -9 10 What is (-9 + (-3 - -29) - 18) + -11? -12 (8 - 4 - (-1 - (-8 + 5))) + -5 -3 Evaluate -42 + 3 - (461 + -462). -38 What is (-79 - -26 - -45) + (1 - 10)? -17 Calculate 189 - 192 - (4 + (3 - 6)). -4 Evaluate (15 - (13 + -7)) + -6 + -22. -19 Calculate 6 - (-2 + 5 + 12 + (1 - -1)). -11 -6 + (-19 + 13 - (1 - 13)) + -4 -4 What is the value of 2 + 8 + (1 - (0 + 1 + 4))? 6 What is the value of -9 + (10 - ((-2 - -2) + -1))? 2 Calculate -3 - ((23 - 12) + -3 + -18). 7 Calculate (3 - -4) + 8 - (-4 - (-4 - -4)). 19 Evaluate 4 - ((9 - -7) + 5). -17 Evaluate -11 + -4 + 1 + 7 - (-4 - -7). -10 (-17 - -22) + 4 - -10 - (-2 - -11) 10 2 + -3 + -1 + 10 + 5 13 What is 2 - (-3 - -8) - (3 + 10 - -6)? -22 -14 - (18 - (4 + 10)) -18 What is the value of 2 + (11 + -1 - (-317 - -327))? 2 -15 + 10 + -5 + 11 + 2 3 Calculate -2 + (7 - 4) - (-3 - (4 - 11)). -3 Calculate -5 + 9 - 11 - (4 - 11). 0 Calculate -154 - -174 - (29 - 3) - (6 - -1). -13 Calculate 9 - -1 - ((3 - (-5 + 4)) + -4). 10 Calculate -32 - (-76 + (-8 - -37)). 15 Calculate 79 + -66 + (-19 - 5). -11 -8 - (0 - (1 + 7)) 0 What is 19 - 25 - (-4 - (-2 - -3 - 3))? -4 What is 97 + -97 - (1 + 5 + 0) - 5? -11 -5 + 4 + -13 + 19 5 Evaluate -16 + 2 - (-4 + -3 + (-11 - -10)). -6 -11 + 8 + -2 + 3 + 10 8 Evaluate (-2 - 2 - 5) + 9 - (-1 + -3). 4 What is th
{ "pile_set_name": "DM Mathematics" }
100 + 84)*(2 - 2 + 2)*(16 - 7 + 12) to t*r + x and give x. -1512 Rearrange -172 + t**3 + t + t**3 - 274 to the form f*t**3 + m*t + w*t**2 + b and give b. -446 Rearrange 443*x - 449*x + 9 + 153 + x + 0 + 0 - x - 4 + 4 + (-4*x - x + 6*x)*(5 - 4 + 1) to l + o*x and give o. -4 Express (157 + 66 + 18)*(52 - 77 - 5*h + 4*h) in the form r*h + q and give r. -241 Express 5 - 237*r**2 + 21 + 109*r**3 - 14 + 237*r**2 in the form h*r**2 + p*r + u*r**3 + l and give u. 109 Rearrange -4*f**4 + 30*f + 0 + 48*f**3 - 48*f**3 - 1 - 1 to the form z*f**3 + j*f**4 + q*f + o + g*f**2 and give j. -4 Rearrange (-9*q**4 - 8*q**4 + 3*q**4)*(37 - 7 + 93 + 2 - 3 + 0 + (2 - 2 - 1)*(5 - 1 - 2) + 2 + 1 - 5) to the form s + x*q**4 + o*q**2 + t*q**3 + y*q and give x. -1652 Rearrange 3651*f - 6784*f + 3612*f + (-3 + 5 - 1)*(2*f - 5*f - 4*f) to the form t*f + n and give t. 472 Rearrange -4158734 - 7259*r + 4158734 to the form a + s*r and give s. -7259 Express 2*n + 1 - 1 + (n - 6*n + 4*n)*(0 + 2 - 1) + 743968 - 743968 - 1974*n + (-5 + 1 + 2)*(n - n - n) in the form t*n + l and give l. 0 Rearrange -478 + 969*t + 474 - 14*t**3 + 12*t**2 - 969*t to a*t**2 + k*t + d*t**3 + n and give d. -14 Express (482*w**2 + 4035*w**2 + 976*w**2)*(1 + 8*w**2 + w + w**2 - 8*w**2) in the form a*w**3 + o*w**4 + z*w + g*w**2 + n and give o. 5493 Express j**2 + 2*j**2 - 3*j - 153 + 8*j**2 - 7*j**2 - 8*j**2 + 2*j**3 in the form m*j**2 + i*j + h + w*j**3 and give i. -3 Rearrange 5592*b + 0 + 0 + 18906*b + 0 to the form o*b + c and give o. 24498 Rearrange (-r**2 - 182*r + 8*r - 12*r)*(4 + 12 + 52 - 6) to the form n*r**2 + j*r + u and give n. -62 Express 265 - t + 259 + 38*t - 517 in the form k*t + c and give k. 37 Rearrange -220*i**3 + 399*i**3 + 496*i**3 + 61*i**3 - 2 to the form r*i + k + c*i**3 + t*i**2 and give c. 736 Express (0 + 1 + 1)*(-3 + 2 + 0)*(3 + 4 + 2)*(875*l - 3013*l + 1249*l) in the form n + r*l and give r. 16002 Rearrange -10 - 24*k + 46*k + 15*k to d*k + q and give q. -10 Express t**3 + 17 - 2*t + 28*t**2 - 41 + t**4 - 9*t**2 + 26 as k*t**2 + s*t**4 + c*t + b + w*t**3 and give k. 19 Express (0 - 2 + 0)*(3*n - n + 0*n) + (-463 - 431 - 223)*(n - 3*n + n)*(0 - 1 + 0) in the form w*n + o and give w. -1121 Express -233*k**3 - 257*k - 2 + 474*k**3 - 250*k**3 in the form l*k**2 + r + d*k + x*k**3 and give x. -9 Rearrange 62*c + 4611*c**2 + 60*c - 173*c + 53*c to the form i + t*c + k*c**2 and give t. 2 Rearrange 980*n + 1072*n + 310*n + 208*n to the form s*n + w and give s. 2570 Express 1427*g**2 + 46*g**3 + 48*g**3 - 136*g**3 + 41*g**3 + 761*g**2 as t*g**3 + j + a*g**2 + d*g and give t. -1 Express (-q**2 - q**2 + q**2)*(-q + 0*q + 2*q) + 1 - 87078*q**3 - 86207*q**3 + 178801*q**3 as m + h*q + y*q**3 + n*q**2 and give m. 1 Express (-4 + 3 + 0)*(46*v**2 - 1449 + 1447 - 4*v**2) + (-6 + 6 - 6*v)*(2*v + 0*v + v) in the form j + i*v + d*v**2 and give d. -60 Express (0*d**3 + 0*d**3 + 2*d**3)*(-3125*d - 11713*d - 2127*d) in the form v*d**2 + u*d + c*d**4 + g*d**3 + p and give c. -33930 Express (2*o - o**2 - 2*o)*(-o + 28*o + 63*o) - 6*o**3 + 0*o**3 + o**3 + 0*o**3 + 3*o**3 - o**3 in the form k*o**2 + i*o + p + l*o**3 and give i. 0 Rearrange (0*d + 3*d - 11*d)*(25390 - 25923 - 2*d + 0*d) to n*d**2 + i + u*d and give n. 16 Express -112037*q**2 + 4*q**3 - 8*q**3 + 111851*q**2 + 0*q**3 - 4*q**3 as g*q**2 + c*q + m + s*q**3 and give m. 0 Express -58*z + 53*z + 49*z - 2*z**2 + 20*z**3 + 41*z in the form v*z**2 + p*z + x + g*z**3 and give p. 85 Rearrange -26*l**4 + 4307 - 4308 + 28*l - 28*l + 4*l**3 - 23*l**4 to the form p + z*l + b*l**3 + u*l**4 + s*l**2 and give p. -1 Express -7 - 262*g - 1154*g + 13 + 11172*g**2 - 11170*g**2 in the form y + h*g**2 + x*g and give y. 6 Rearrange -2106 + 2106 - 6*b**4 + (56*b - 2039 + 2039)*(-2*b**3 + 3 - 3) to the form f*b + j + c*b**3 + t*b**4 + i*b**2 and give t. -118 Express 28 + 21 + 29 - 79 + 5746*q**3 as m*q + v + w*q**2 + a*q**3 and give a. 5746 Rearrange -6*z**2 + 54*z**2 - 70*z**2 - 128*z**2 - 12*z - 1 to k*z**2 + s + j*z and give k. -150 Rearrange (10*w + 9*w + 20*w)*(50*w**2 - 659 + 659) to the form a*w**2 + g*w + t*w**3 + n and give n. 0 Rearrange ((1 + 0 + 3)*(i - i - i) - 40*i - 22*i + i)*(-8 + 3 - 7)*(-3 - i + 2*i**2 - i**2 - i) to the form k*i**2 + f*i + p*i**3 + n and give f. -2340 Rearrange -4*c**3 + 6 + 11 + 4*c**2 - 5*c**2 + 5*c**2 + 0*c**2 to the form g + b*c**2 + k*c**3 + a*c and give b. 4 Express -679*d - 614*d + 2883*d + 2829*d in the form z*d + n and give z. 4419 Express (10 - 12 - 11)*(0*u + 15*u - u)*(3 + 3 + 0) in the form g*u + o and give g. -1092 Express 3486*f + 6184 - 6184 + (4 + f - 4)*(-1 + 0 + 3) - 1 + 1 + 3*f as u*f + l and give u. 3491 Rearrange (-2*s + 10 + 3 - 6)*(13089 - 415*s - 13089) to i*s + g + h*s**2 and give h. 830 Rearrange (-11*x - 9*x + 90*x)*(-2 + 3 + 1)*((0 - 5 + 2)*(2 + 3 + 2) - 4 + 0 + 2 + (4 - 1 - 5)*(4 - 3 + 0) - 2 + 6 - 2) to m*x + f and give m. -3220 Rearrange 13573*c + 79640 - 79640 to x*c + j and give x. 13573 Rearrange (2*r - 16*r + 4*r)*(-20 + 15 + 12 + 4*r)*(-5*r**2 + 4*r**2 + 65*r**2) to p*r**4 + v + x*r + h*r**2 + k*r**3 and give p. -2560 Rearrange (-8*f**3 - f**3 + 2*f**3)*(58*f + 45*f - 26*f)*(4 + 1 - 3) - f**4 - 2*f**4 - f**4 to the form n + x*f**4 + c*f**2 + o*f**3 + g*f and give x. -1082 Express -9*i**2 + 573*i - 1132*i + 547*i + 22*i**2 in the form a + v*i + n*i**2 and give v. -12 Express -232*k + 233*k + 665*k**2 - 2155*k**2 in the form r*k**2 + t*k + c and give t. 1 Express 0 - m + 0 + (-1 + 4 - 1)*(-6*m - 10 + 10) + 11*m - 2*m + 6*m + (m + 2*m - m)*(-4 + 4 + 1) + 3*m + 0*m - 4*m in the form s*m + h and give s. 3 Express 662*l - 555*l - 3 + 2*l**2 - 611*l as a*l + d*l**2 + r and give a. -504 Express 2414932*x - 2 - 2414857*x - 30*x**2 + 3 as r*x + s*x**2 + j and give r. 75 Rearrange g**2 + g**3 + 2*g**2 + 6*g + 264 + 303 - 533 to the form w*g**3 + j*g + a*g**2 + t and give t. 34 Rearrange 46*t - 80*t + 38*t - t**2 + 0 + 3 - 2*t**4 to j + m*t**2 + r*t + g*t**3 + f*t**4 and give f. -2 Express (-2*m - m**2 + m + 0*m)*(-1430*m - 928*m - 2393*m - 719*m - 2554*m) as r*m**2 + k + c*m + o*m**3 and give o. 8024 Rearrange -18783 + 2*l**2 + 9399 - 45*l**4 + 9384 + 5*l to the form s*l + z*l**4 + q*l**2 + k*l**3 + m and give s. 5 Express 51*q + 4*q**4 - 6*q**4 - 86*q**2 + 76*q**3 - 81*q**3 + 87*q**2 - 1 in the form u*q**4 + r + s*q**3 + o*q + k*q**2 and give s. -5 Rearrange 34037*x - 2111 + 702 + 705 + 704 to u*x + c and give u. 34037 Express (-2*b - 14 + 13 - 7*b)*(-18 - 67 - 303) in the form r + h*b and give r. 388 Rearrange (1 - 1 + 2*q)*(4 - 4 - q) - 6*q**2 - 24*q + 24*q - 43*q**2 - 38*q**2 - 46*q**2 to the form m*q + t + b*q**2 and give b. -135 Rearrange ((3 - 3 - 2)*(-s + 5*s - 2*s) + 0*s + 0*s - 2*s - 2*s + 0*s + 4*s + 3 + s - 3 + 2 - 2 - s + 1 - 1 - 2*s)*(4 - 9 + 35) to h + j*s and give h. 0 Express (-208*i + 133*i - 201*i - 333*i)*(-8*i - 25*i + 17*i) in the form k + b*i + p*i**2 and give p. 9744 Rearrange -3*r + 88*r**4 - 31*r**4 + 31 - 32*r**4 - 40*r**4 + 2*r - r**3 to the form m*r**3 + z*r + x*r**4 + g*r**2 + h and give h. 31 Rearrange 292 + 2*c + 23 + 139 + (-1 - 1 + 1)*(-c + c - 2*c) + 3*c - 2*c + 2*c + 3 - 3 - 9*c + 0*c + 2*c - c to v + m*c and give v. 454 Express (-3*h + 4*h - 3*h)*(-9036 + 9*h + 6218 - 11*h) in the form i + v*h**2 + j*h and give j. 5636 Express -67128 + z**3 + z**2 + 67129 + 2609*z - 1058*z as k*z**3 + x*z + p*z**2 + f and give f. 1 Rearrange (7*m - 3*m - 2*m)*(3*m + 2*m - m) + (6 - 3*m - 6)*(39*m - 6*m + 41*m) to the form t*m**2 + k + q*m and give t. -214 Express (-3720*x**4 - 4316*x**4 + 10533*x**4)*(2 - 2 + 4)*(-2 - 4 + 5) as i*x**2 + j*x + o + s*x**3 + b*x**4 and give b. -9988 Express 444*q + q**3 - 359*q - 2*q**2 - 1071*q - 3*q**3 as b*q**2 + x*q + u*q**3 + o and give b. -2 Express (-69 + 115 + 343 + (-6 + 3 + 2)*(2 + 0 - 1))*((-7*y + 2*y + 2*y)*(-2 - 1 + 1) - y + 2*y + 0*y) as g + f*y and give f. 2716 Express 3*u**3 + 4708 + 19*u**2 + 9*u**4 + 4691 - 9402 in the form c + k*u**2 + w*u**3 + r*u**4 + f*u and give k. 19 Rearrange -54*w + 12*w + 21*w + (3*w + w - 5*w)*(-33 + 108 - 36) - 4*w + 5*w - 4*w - 1 + 1 - w - 1 + 2*w + 1 to the form z + a*w and give a. -62 Rearrange (-7*y + 4*y**2 - 681068 + 681255 + 0*y**2)*(-y + 4*y - 2*y) to p*y + l + v*y**2 + r*y**3 and give v. -7 E
{ "pile_set_name": "DM Mathematics" }
f n? 2 Let h(i) = 7*i - 1. What are the prime factors of h(8)? 5, 11 Suppose 30 = -6*j + 630. What are the prime factors of j? 2, 5 Suppose -4*x = -0*x - 168. What are the prime factors of x? 2, 3, 7 Suppose 6*f + 5*i - 80 = f, 2*f - 40 = 2*i. Suppose 0 = -3*a - 5*y - 2 + f, -2*a + 2*y = -16. What are the prime factors of a? 7 What are the prime factors of (3 - 10/6)*105? 2, 5, 7 Let h = -232 + 387. What are the prime factors of h? 5, 31 Let n = -15 + 6. Let h be 12/n*(-6)/4. What are the prime factors of ((-2)/4)/(h/(-32))? 2 Let i(x) be the third derivative of x**6/120 - x**5/60 + x**4/24 - x**3/6 + 3*x**2. Let j be i(1). Suppose 3 + j = t. List the prime factors of t. 3 Let n(c) = c**3 - 10*c**2 + 3*c - 4. What are the prime factors of n(10)? 2, 13 List the prime factors of 5/30 + (-113)/(-6). 19 Let k(g) = 2*g + 2*g - 7*g - 10*g. What are the prime factors of k(-1)? 13 Let l be 6/(4/12*6). Suppose -5*p + l*a + 29 = 0, -3*p + 0 = 3*a - 3. What are the prime factors of p? 2 Let o be 12/(-42) + (-248)/14. What are the prime factors of ((-9)/(-2))/((-3)/o)? 3 Let f be 0 + (1 - 0/2). What are the prime factors of (-15 - f)*2/(-2)? 2 Let k be -1 + 10/(-4)*8. Let b be (-3)/(9/k) + -1. Suppose x - b = 6. List the prime factors of x. 2, 3 Let b(r) be the second derivative of -r**4/12 + r**3/6 - 2*r**2 - 2*r. Let f be b(-3). Let m = f + 27. List the prime factors of m. 11 Let r = -139 - -233. List the prime factors of r. 2, 47 Let v = -81 - -95. List the prime factors of v. 2, 7 Let c(l) = 76*l**2 + l + 1. List the prime factors of c(1). 2, 3, 13 Suppose v = -0*v - 4. What are the prime factors of (-12)/8*v/3? 2 Let c be (-170 - -5) + 4/2. List the prime factors of 2/5 + c/(-5). 3, 11 Let p = -33 - -20. List the prime factors of (p/(-2))/(4/8). 13 Suppose 3*o - 72 = -0*o. List the prime factors of o. 2, 3 Suppose -3*u - u = -8. Suppose -k = u*y - 1, 5*k - 15 = y + 23. What are the prime factors of k? 7 Suppose 9 + 1 = 5*k, -5*p - 83 = -4*k. Let j = 33 + p. List the prime factors of j. 2, 3 Let d = 259 + -38. List the prime factors of d. 13, 17 Let n(d) = d**3 - 4*d**2 - 2*d - 4. Let p be n(4). Let s be p*3/18*-2. Let x(g) = g. List the prime factors of x(s). 2 Let y = 45 + -16. List the prime factors of y. 29 Let t be 12/28 + (-221)/(-7). Suppose -x - 1 + 2 = 5*m, 2*x - t = 5*m. What are the prime factors of x? 11 Let t(y) be the first derivative of y**4/4 + y**3/3 - y**2/2 + 22*y + 2. What are the prime factors of t(0)? 2, 11 Let c(f) = f - 4. Let g be c(5). List the prime factors of 39 - (g + -1 - 2). 41 Let f = 56 + -32. What are the prime factors of f? 2, 3 Let v be (-2)/8 + 2/8. Suppose -4*a + 5*u + 5 = v, a - 3 = -2*a + 3*u. Let c = 5 + a. What are the prime factors of c? 5 Let j = -33 - -42. List the prime factors of j. 3 Let k(x) = -x**2 - 6*x - 4. Let r be k(-5). Let w = 18 + r. What are the prime factors of w? 19 Let p(q) = 6*q**2 - 2*q + 5. Let n(t) = -11*t**2 + 3*t - 9. Let o(i) = -4*n(i) - 7*p(i). List the prime factors of o(-2). 5 Suppose -2*a - 13 = 2*a + y, y + 7 = -2*a. Let l be 3 + a - (-1 + -13). Suppose 3*c = -2*g - l + 48, 5*g + 20 = 3*c. What are the prime factors of c? 2, 5 Let f be (8/3)/(8/12). Suppose -2*o + c - 3 + f = 0, -2*o - 4*c - 14 = 0. Let b = 5 - o. List the prime factors of b. 2, 3 Let f(i) = -4*i - 31. Let m(l) = 3*l + 21. Let b(z) = -5*f(z) - 7*m(z). What are the prime factors of b(-4)? 2, 3 Suppose -3*v + 3*n = 9, 6*n - 2*n - 20 = 0. What are the prime factors of v? 2 Let v(i) = i**2 + i. Let f(g) = 2*g**2 + 5*g - 5. Let r(b) = f(b) - v(b). List the prime factors of r(4). 3 Suppose -3*l + 190 = -143. What are the prime factors of l? 3, 37 Let d(y) = -y**2 + 36*y - 4. List the prime factors of d(24). 2, 71 Suppose -5 = 2*t - 41. Suppose -3*z + 0 = 30. List the prime factors of z/(-45) - (-104)/t. 2, 3 Let o be (1 - -1)/((-2)/9). Suppose 3*j + 5 = -2*m, 5*j + 2*m = m - 13. Let t = j - o. List the prime factors of t. 2, 3 Let f(t) = -4*t**3 - 2*t + 2. What are the prime factors of f(-3)? 2, 29 List the prime factors of (27/5)/((-7)/(-35)). 3 Suppose -4*y - 282 = -1350. What are the prime factors of y? 3, 89 Suppose 5*q - 61 = 434. What are the prime factors of q? 3, 11 Suppose 2*p + 2*y - 28 = -3*y, 5*p = 5*y. Suppose -h + 44 = 3*h - p*k, -4*h + 2*k + 34 = 0. Let z = h - 1. List the prime factors of z. 5 Let y(w) = -w**3 - 2*w**2 + 2*w - 2. Let v be y(-3). Let r(l) = 16*l**3 + l**2 - l + 1. List the prime factors of r(v). 17 Let z be (-2 - 0)*(-1 + 3). Let p = z - -6. Suppose 4 + 2 = p*s. List the prime factors of s. 3 Let m(q) = 129*q**3 + q**2 - 2*q + 1. List the prime factors of m(1). 3, 43 Let m = 157 + -97. Suppose -a = -5*a + m. What are the prime factors of a? 3, 5 Suppose 3*f = -f + 76. List the prime factors of f. 19 Suppose 152 = w - 69. What are the prime factors of w? 13, 17 Let t be 21/35 - (-12)/5. Suppose 0 = 2*a - t*w + 6, -2*a - 2 = -4*w + 2*w. List the prime factors of (4 - a)*3 + -1. 2 Let s be 10/3*12/8. Suppose -4*y - s*v - 5 = -0*y, -2*y - 5 = 3*v. What are the prime factors of y? 5 Let o = 78 - 35. What are the prime factors of o? 43 Let i = 7 + 33. What are the prime factors of i? 2, 5 Suppose -3*m = -4 - 2. Suppose 4*d - m*d = -3*j + 19, -4*j = 2*d - 22. Suppose 2*f - d*f + 25 = h, 0 = -3*h - 6. What are the prime factors of f? 3 Let v(n) = -3*n - 9. Let m be v(10). Let y = -16 - m. What are the prime factors of y? 23 Let n(k) = -3*k + 107. List the prime factors of n(0). 107 Suppose -44 = 5*y + 101. Let d(u) = -u**3 - 8*u**2 - 6*u - 9. Let g be d(-7). Let j = g - y. List the prime factors of j. 13 Suppose 27 + 27 = -3*w. Let p = w - -33. List the prime factors of (-1 + p/6)*12. 2, 3 Suppose 0*a + 5*a = 160. What are the prime factors of a? 2 Let u = 66 + 68. What are the prime factors of u? 2, 67 Suppose 0 = 3*y - 4 + 16. List the prime factors of y/((-8)/30) + -3. 2, 3 List the prime factors of 3620/50 + 2/(-5). 2, 3 Let l = 12 - 9. Let r be 22/3*l/2. Suppose r*q - 40 = 6*q. List the prime factors of q. 2 Let p(i) = i**3 + 3*i**2 + 4*i + 2. Let q(o) = -o**3 - 5*o**2 - 7*o - 4. Let b(t) = -11*p(t) - 6*q(t). What are the prime factors of b(-2)? 2, 17 Let y be ((-20)/(-6))/((-1)/(-3)). Let a be -2 + 0 - (-9 + 7). Suppose a*v = 5*v - y. What are the prime factors of v? 2 Let k = -36 - -61. What are the prime factors of k? 5 Let a = 53 - 17. List the prime factors of a. 2, 3 Let s(k) = k**3 + 13. Let a be s(0). Suppose a - 4 = 3*l. What are the prime factors of l? 3 Let s(w) = -3*w**3 - 15*w**2 + 4*w + 1. Let u(z) = 2*z**3 + 8*z**2 - 2*z. Let y(q) = -3*s(q) - 5*u(q). Suppose -4*n - 6 = -22. List the prime factors of y(n). 5 Suppose 4*o - 159 = -3*q - 17, -4*q - 119 = -3*o. Suppose 0 = 3*n + 4*i - o - 0, 3*n - i - 47 = 0. List the prime factors of n. 3, 5 Let s = 1 - 1. Suppose -d = -s - 3. Suppose 18 = -y + d*y. List the prime factors of y. 3 Let f(b) = -b**3 + 4*b**2 - 2*b + 1. Let u be f(4). What are the prime factors of 2/(-6)*3*u? 7 What are the prime factors of (-24)/4 + 1028/4? 251 Let w = 29 + -18. Suppose -4*z - 3 + w = 0. Suppose 7 = z*l + 1. What are the prime factors of l? 3 Let w(s) = 9*s - 1. List the prime factors of w(10). 89 Suppose n = 2 - 0. Suppose 7 = -n*h + 3*h + 4*j, 3*j - 86 = -5*h. List the prime factors of h. 19 Let b(q) = -2*q**3 - q**2 + 1. Suppose 11 = 5*p - 4*v, -4*v - 1 = 15. Let i be b(p). Suppose -2*u + 60 = i*u. What are the prime factors of u? 3, 5 Let o = -5 + 8. Suppose o*z = 30 + 36. What are the prime factors of z? 2, 11 Suppose -3*o - 25 + 113 = -4*h, -44 = 2*h + 4*o. Let a = h - -32. List the prime factors of a. 2, 5 Let b = -16 + 18. Suppose -b*y + 45 = 13. List the prime factors of y. 2 Let h(t) = -2*t**2 + 5*t + 4. Let i(y) = y**2 - 5*y - 5. Suppose -2*d - 6 = -0*d. Let p(u) = d*i(u) - 2*h(u). What are the prime factors of p(-5)? 7 Let c be 47/2 - 30/20. Let k(z) = z**2 - 9*z + 2. Let d be k(6). Let f = d + c. What are the prime factors of f? 2, 3 Suppose -4*y + 2*j = -0*y - 6, 0 = 4*y + 4*j. What are the prime factors of 30/(-4)*(-2)/y? 3, 5 Let x = 11 - 11. Suppose -q = 2*q + g - 5, 3*q + 4*g + 7 = x. List the prime factors of q. 3 Suppose j + 5*q + 17 = 0, 0*q + 25 = -5*q. Let i(b) be the first derivative of b**3/3 - 3*b**2 - 7*b - 4. What ar
{ "pile_set_name": "DM Mathematics" }
(b) 5 (c) d a Let h = 2 + 2.8. Let o = 5 - h. Which is the second smallest value? (a) 0.4 (b) o (c) -1 b Let j be 57/15 - 1/(-5). Let n(k) = k**2 - 3*k - 3. Let d be n(j). Which is the third biggest value? (a) d (b) -2 (c) -2/7 b Let p = -7 - -4. Let x = p - -1. What is the third smallest value in x, -4/5, -1/3? -1/3 Suppose -1 + 3 = p. What is the second smallest value in p, -4, 4? p Let z = -8 - -19. Let m = 14 - z. Which is the third smallest value? (a) 2/7 (b) 4 (c) m b Let s(g) = -2*g - 5. Let b be s(-4). Suppose -c = -b*c. Let n be (-2)/(-2)*c - 1. What is the third smallest value in -2/13, -0.4, n? -2/13 Let d = 22 + -21.99. Which is the biggest value? (a) 2 (b) d (c) -1 a Let g = -223/2695 + -2/245. Let h = -2.1 - -0.1. What is the biggest value in 3, g, h? 3 Suppose -2*f = 2*p + 4 + 2, -8 = 3*p + 4*f. Let l be ((-20)/30)/(1*-4). Which is the third biggest value? (a) -1/4 (b) l (c) p c Let c be 2/10*-17 + 3. What is the biggest value in -2/13, -4, c, 0? 0 Let f(t) be the second derivative of -11*t**3/6 + 3*t**2/2 - 2*t. Let g be f(6). Let q be 14/g - 29/(-9). Which is the smallest value? (a) 4 (b) q (c) -4 c Suppose -16 = 5*k - 46. Which is the smallest value? (a) 3/2 (b) 1 (c) k b Let z be 141/27 + -5 + 48/27. What is the fourth smallest value in z, 0.2, -1, 0.06? z Suppose -2*p = -5*x + 57, -x - 5*p = -2*x + 16. Which is the second smallest value? (a) 0 (b) 0.3 (c) x b Let o(m) = m**2 - m. Let d be o(7). Let n be ((-4)/d)/(12/(-54)). Which is the third smallest value? (a) n (b) 0.2 (c) 2 c Suppose -2*h = -h + 5*i + 3, h - 2*i = 4. Suppose 7 = -3*v + 4*t - 0*t, 0 = -h*v - 3*t + 18. Suppose 1 = -5*y + 26. What is the smallest value in v, y, 1? 1 Let u = -86 + 82. Which is the biggest value? (a) u (b) 5 (c) -3/5 b Let m = 4/83 + 312/415. Let r = 3 - 2.7. Let u = -459/7 - -66. Which is the third smallest value? (a) u (b) m (c) r b Suppose -c + k - 4 = 0, 5*c + k - 5*k + 21 = 0. What is the second biggest value in -1/3, 4, c? -1/3 Let i(s) = s**3 + 8*s**2 - 4. Let l be i(-8). Let k(r) = -r - 1. Let g be k(-6). Which is the third biggest value? (a) l (b) g (c) -1/3 a Let k be (16/12)/((-28)/(-6)). Which is the second biggest value? (a) -5 (b) k (c) -4 c Let q = -30.95 + 31. What is the smallest value in -4/5, q, -0.3? -4/5 Let b(p) = 2*p**3 - 2*p**2 + 2*p - 1. Let i be b(1). Let j = 109/148 - -1/74. What is the biggest value in 0, j, i? i Let n be (4/2)/(3/6). Suppose -4*r = n - 32. Which is the second smallest value? (a) r (b) -0.3 (c) 2 c Suppose 0 = 4*a - 4 - 0. Let x be (1 + 0 + a)/1. Let w(d) = d**2 + d - 1. Let r be w(x). What is the biggest value in -0.3, r, 3/4? r Let n = -1/19 - 33/95. Suppose 5*y - 195 = 3*w, 2*w - y - 65 = 3*w. Let t = -191/3 - w. What is the second smallest value in t, 0, n? 0 Let x = -3.07 + 0.07. Let z be (-2)/5 - (-3)/6. Which is the second smallest value? (a) z (b) 4 (c) x a Let s = -0.69 + 0.19. Let v = -5 - -8. Let r = 5 - 7. What is the third smallest value in v, r, s? v Let v = -146 + 148. Which is the second smallest value? (a) 0.2 (b) -0.5 (c) -8 (d) v b Let g = -0.29 - -0.49. Let t be 3/2 - (-2)/(-8). Which is the second biggest value? (a) t (b) -0.1 (c) g c Let w(k) = k**2 + 10*k + 5. Let l be w(-9). Which is the second biggest value? (a) l (b) 0 (c) -3/5 c Let x = -0.3 + 0.3. Let u = x - -4. Let s(r) = -r**3 - r. Let m be s(0). Which is the third smallest value? (a) u (b) m (c) 1/10 a Suppose -15 + 58 = -3*s - 4*k, 0 = k + 4. Which is the third smallest value? (a) -2 (b) -0.4 (c) s b Suppose r + 3 = 4. Let l = 0.2 - 0.22. Let b = -1.98 + l. What is the third biggest value in 2/3, b, r? b Let f be (1 - 0) + (0 - 0). Let o be (-1 - f) + (0 - 1). Let l = 175 + -1573/9. Which is the third smallest value? (a) l (b) o (c) -2/9 a Let w = -11 + 11.5. What is the smallest value in w, -3, 3/5? -3 Let f = 1/116 + -239/812. What is the third biggest value in 0, 5, f? f Let v = 4.6 - 2.6. Which is the second biggest value? (a) 2/7 (b) -0.5 (c) v a Let l = 2 + 3. Let d = -3 - l. Let v = d - -11. Which is the biggest value? (a) -0.4 (b) -3 (c) v c Let g = 8 - 12. Let j = 7 - 7.5. Which is the third smallest value? (a) -3/7 (b) g (c) j a Let j = -13 + 23. Let x = -15 + j. Let m be 2*(2/24 - 0). Which is the smallest value? (a) x (b) m (c) -4 a Let y = 2 + -2. Let r = 6.3 + -6. Let i = r + -0.2. What is the second smallest value in 3/5, y, i? i Let l = -3.5 + 2.5. Which is the third smallest value? (a) 5 (b) 2 (c) l a Let z = -0.1 + -6.9. Let j = z + 6.5. Which is the second smallest value? (a) 0.4 (b) 0.5 (c) j a Let i = -3.26 - -0.26. Which is the third smallest value? (a) -5 (b) -2 (c) i b Let t(h) = 5*h**2 + 1. Let f be t(-1). Suppose 70 = -x + f*x. Suppose -3*i + 4*r = -x, 2*r + 0*r - 6 = -5*i. Which is the smallest value? (a) 1 (b) 0 (c) i b Let v = -46 + 48. Which is the smallest value? (a) -0.5 (b) 3 (c) v a Let r be 6 + -2 + (-3 - (-2)/(-12)). Which is the third smallest value? (a) -1/4 (b) r (c) -3/5 (d) -0.4 a Let n = 15 + -10. Let q = 1.33 + -1.53. Which is the second smallest value? (a) q (b) n (c) 3 c Let k = 644 + -640.11. Let q = -0.11 - k. Which is the second biggest value? (a) 4 (b) q (c) 2/9 c Let g be ((-2)/(-8))/((-3)/4). Let v be -2*(-4)/(-8)*4. Let h be (v/(-3))/((-5)/3). Which is the third biggest value? (a) h (b) 2 (c) g a Let q = -20.9 + 20. Let g = 1 + q. What is the biggest value in 3, g, 3/4? 3 Let u = -13/9 + -1/18. Which is the biggest value? (a) u (b) 2/9 (c) -1/5 b Let q(x) = 4*x**2 - x - 1. Let u be q(-1). Let p = -0.12 + 0.12. What is the second smallest value in -3, p, u? p Let w = 4.32 + 0.18. Let x = 13 - 8. Let d = w - x. Which is the third biggest value? (a) -0.4 (b) -0.1 (c) d c Let k = 0.12 - 6.12. Let g = -7 - k. Which is the second smallest value? (a) -4/5 (b) g (c) -3 b Let d = -0.21 - -0.16. Which is the second smallest value? (a) d (b) -0.3 (c) -4 b Let w = -7 + 6.8. Let k = 0.23 - -0.07. Let t = 1.7 + k. Which is the second smallest value? (a) 1/5 (b) w (c) t a Suppose 12912 = 2*h - 4*d, 3*d + 4857 = h - 1596. Let n = 13213/2 - h. Let i = n - 142. What is the second biggest value in i, -4, 2? 2 Suppose 4*d + 3 = -0*t - t, 9 = -2*d - 3*t. Suppose 6*m - m = 25. Which is the smallest value? (a) -0.2 (b) d (c) m a Let k = -15.2 + 0.2. Let s = 15.3 + k. What is the smallest value in 0.1, -0.1, s? -0.1 Let m = -5068/15 + 338. Let o = 23/60 - m. What is the smallest value in 0.2, 4, o? 0.2 Let x = -13 - -8. Let u(h) = h**2 + 1. Let d be u(x). Let p = 103/4 - d. Which is the second biggest value? (a) 0 (b) p (c) 1 a Let f(u) = -u - 8. Let q be f(-6). Let y be ((-6)/(-21))/(9/(-21)). Which is the biggest value? (a) y (b) 0.5 (c) q b Let i be 5/((-200)/(-12))*2. What is the smallest value in i, -3, 1.3? -3 Let u(n) = n**3 + 24*n**2 + 5. Let t be u(-24). Which is the second smallest value? (a) t (b) 0.04 (c) -0.1 b Let q(i) = -i**3 - 2*i**2 + 5*i - 7. Let w be q(-4). What is the biggest value in -0.4, 4, 8/3, w? w Let i = 11 + -8. Which is the third smallest value? (a) -1 (b) -2 (c) i c Let p = -0.8 + -0.2. Let j = -1 + 1.3. Which is the second smallest value? (a) p (b) j (c) -1/5 c Let g(a) = -5*a**3 + 9*a**2 + 2*a - 3. Let k be g(2). What is the second smallest value in 1, 10, k? 1 Let z(d) = d**3 + 8*d**2 - 10*d - 8. Let v be z(-9). What is the biggest value in v, -10, -0.2? v Let v = 5.5 - 10.5. What is the smallest value in 7, -1, -0.5, v? v Let m = 0 + 0.02. Let b = m + -0.22. What is the third smallest value in b, 4/3, 0.5? 4/3 Let k = 0.04 + -0.03. Let f = k + -1.01. What is the third biggest value in -0.1, 0, f? f Let p(x) = -x**2 + 3*x - 3. Suppose 3*f = 6*f - 9. Let w be p(f). Let s be (-52)/32 - w/2. What is the second biggest value in s, 5/2, -2/7? s Let l = 0.76 + -0.6. Let v = -7.84 - l. Let s = -13 - v. What is the third biggest value in 2/9, -0.3, s? s Let o be ((-2)/(-12))/(1/(-4)). Let k = 0.27 - 0.3. What is the second smallest value in k, 2, o? k Let n(h) = -h**3 + 10*h**2 + 2*h - 14. Let b be n(10). Let a = b - 17/3. What is the second biggest value in -3, a, -2/3? -2/3 Let t = 1 - 1.3. Let g be ((-20)/(-35))/((-54)/
{ "pile_set_name": "DM Mathematics" }
-21*l + 7. Let j(d) = 10*d - 3. Let i(a) = 9*j(a) + 4*m(a). Give i(o). -11 Suppose t = 2*c + 16, -4*c - 33 = -4*t + 23. Let a = 7 + -4. Let g be 52/16 - a/t. Let y(o) = -3*o + 1. What is y(g)? -8 Let y(i) = -i**3 - 18*i**2 + 20*i + 20. Let a be y(-19). Let t = 0 + 4. Let o(v) = -3 - 1 + 1 - t*v + a. Determine o(-2). 6 Suppose -60*d + 56*d + 20 = 0. Suppose y + 4*l = 11, d*y - 2*l + 17 = -4*l. Let o(q) = q**3 + 5*q**2 + 3*q + 6. Determine o(y). -9 Let a(r) = -6*r + 27. Let l be a(3). Suppose 9*z - l - 27 = 0. Let v(o) = -o - 9. Let d(x) = -2*x - 10. Let q(i) = -3*d(i) + 4*v(i). Calculate q(z). 2 Let b(n) be the second derivative of -n**4/12 - 5*n**3/3 - 6*n**2 - 12*n. Give b(-8). 4 Let s be ((-26)/4)/((-3)/(-6) + -1). Let f = s + -18. Let v(m) be the third derivative of m**5/60 + m**4/6 + m**2. Determine v(f). 5 Suppose 0 = 47*u + 536 - 301. Let g(s) = s**2 + 6*s + 3. Give g(u). -2 Let b(f) = -3*f - 13. Let u(h) = h + 6. Let l(r) = 2*b(r) + 5*u(r). Let n(x) = 38*x + 346. Let p be n(-9). Determine l(p). 0 Let c(i) = -5*i**2 + 3*i**2 + 4*i + 4*i**2 - 3 + i**3 + 5*i - 14*i. Let j(t) = 3*t - 1. Let x be j(-1). Give c(x). -15 Let u(d) = d**3 - 2*d**2 - 7*d + 2. Let t = -216 - -220. Calculate u(t). 6 Let q(y) = -9*y + 6. Let j(s) = 19*s - 12. Let k(f) = -2*j(f) - 5*q(f). Let v be k(-3). Let w be 12/9 - (-36)/v. Let p(l) = l - 1. Calculate p(w). -1 Let w(i) = -4923*i - 7*i**2 + 1 + 2463*i - i**3 + 2467*i. What is w(-8)? 9 Let j(z) = z**3 - 8*z**2 + 7*z + 2. Let g be 3 - (3 - 2 - 3). Suppose -g*u = 4*x - 105, -95 = -5*u - 5*x + 3*x. Suppose -u*y + 16*y = -7. Determine j(y). 2 Suppose -5*h - 3 + 2 = -3*a, -5*h + 7 = a. Let l(s) be the first derivative of 0*s - 2/3*s**3 + 1/2*s**2 - 12. Determine l(a). -6 Let s be (2/(-4))/((-5)/(-2) + -3). Suppose 0*i + 17 = -5*i - 4*v, -1 = i + 2*v. Let u be s*(-7 + 3 - i). Let m(k) = -6*k**3 - k**2 + 2*k - 1. Give m(u). -6 Let r(o) be the second derivative of -5*o + 9/2*o**2 + 0 + 1/3*o**3. Calculate r(-7). -5 Let i(s) = -3*s - 5. Suppose 11 - 13 = 5*h - 2*f, -3 = -3*f. Calculate i(h). -5 Let y(l) be the third derivative of 1/10*l**5 + 1/6*l**3 - 17*l**2 - 1/24*l**4 + 0 + 0*l. Calculate y(1). 6 Suppose -v + 2 = h + 2*h, -5*h + 3*v = -22. Let l(n) = -n + 52. Let f(j) = 5*j - 285. Let y(q) = -2*f(q) - 11*l(q). Give y(h). 0 Suppose 0*l + 3 = l. Let h(y) = -10*y**2 + 66*y + 13. Let d(z) = 7*z**2 - 47*z - 9. Let r(a) = -7*d(a) - 5*h(a). What is r(l)? 4 Let j(t) be the second derivative of -t**3/2 + 2*t**2 - 7*t - 10. Give j(5). -11 Suppose -5*s + 10*s - 25 = 0. Suppose 4*v = 4*i, v = s*v - 2*i - 4. Let z(p) = p**3 + 9*p**v - 3*p**2 - p - 5*p**2 - 8. Give z(0). -8 Let x(y) = -3*y - 2. Let l(d) = -12*d - 8. Let p(i) = -2*l(i) + 9*x(i). Let z(f) = 9*f + 6. Let w(r) = 11*p(r) + 4*z(r). What is w(-2)? -4 Let l = 112 + -116. Let p(c) = c**3 + 4*c**2 + 4*c - 5. Determine p(l). -21 Let z(y) = 3*y**2 + 3*y + 1. Let k(b) = -20*b**2 + 231 - 237 - 16*b + 4*b**2. Suppose 0*c = 3*c + 6. Let j(i) = c*k(i) - 11*z(i). Give j(-3). -5 Suppose 0*q = 47*q - 141. Let p(b) = -b**2 - b + 2. Let u(l) = l**2 - 2. Let m(h) = -2*p(h) - 3*u(h). Calculate m(q). -1 Let d(m) = -m + 1. Let p = 536 - 533. Calculate d(p). -2 Let x be (-26)/6 + (-40)/60. Let l(f) = -f**3 - 5*f**2 - 12. Give l(x). -12 Suppose -4*b = -10 - 2. Let c(p) = p**3 + 1. Let o(i) = 2*i**3 + i**2 + i + 11. Let f(u) = b*c(u) - o(u). Let g be (-1)/(2/6) - -3. Calculate f(g). -8 Let u(m) = -m**3 - 6*m**2 + 2*m + 9. Let c = 56 - 100. Let f = c - -38. What is u(f)? -3 Let g(m) = 3*m**3 + 7*m**2 - 3*m - 2. Let p(d) = 5*d**3 + 7*d**2 - 4*d - 3. Let j(v) = -3*g(v) + 2*p(v). Give j(7). 7 Let j(a) = -22*a - 3. Let s = 80 - 82. What is j(s)? 41 Let d(v) be the first derivative of 3*v**2/2 - v - 65. Determine d(3). 8 Let w = 335 + -199. Let l be w/36 - 4/(-18). Let h(y) = -y**2 + 5*y - 1. What is h(l)? 3 Let q be (-24)/(-8) - 6/(-2). Let u(i) be the first derivative of -q*i**2 - i + 4 + 6*i**2 - i**3 - i**2. Determine u(-1). -2 Let y(i) be the third derivative of i**6/24 - i**4/6 - i**2 + 59. Calculate y(-2). -32 Suppose 0 = -4*i - 2*s + 14, -26 = -3*i + 2*s + 2. Let a(m) be the third derivative of -m**6/120 + m**5/10 + m**4/12 - 4*m**3/3 + 11*m**2 + m. What is a(i)? 4 Suppose -2*w - 1 + 5 = 0. Let j = w + 1. Let g(d) = -2*d + 2*d - d. Give g(j). -3 Let r(w) be the first derivative of w**3/6 - w**2/2 + 9*w - 8. Let m(p) be the first derivative of r(p). Calculate m(7). 6 Let h(g) be the third derivative of -7/24*g**4 + 7/6*g**3 + 0 + 4*g**2 - 1/60*g**5 + 0*g. Let j be 1 - 3*(-6)/(-2). Determine h(j). -1 Let u(h) = h - 3. Let f = 174 - 131. Suppose 15 = -f*g + 46*g. Calculate u(g). 2 Let r(s) = -s**3 + 4*s**2 - s + 3. Suppose -11*u + 0*u + 154 = 0. Let m be (u/(-21))/((-86)/(-30) + -3). Give r(m). -27 Let r(v) be the first derivative of -14 - v - 1/2*v**2. What is r(6)? -7 Suppose -3*a - 7 = t, a + a + 6 = 0. Let n(k) be the first derivative of -k**4/4 + 2*k**3 - k**2 - 2*k - 81. What is n(t)? 10 Let s(q) be the third derivative of -7*q**6/360 + q**5/120 + q**4/24 - 11*q**3/6 + 4*q**2. Let f(g) be the first derivative of s(g). What is f(-1)? -7 Suppose -5*a - 4*u = 9 + 7, -5*a - u = 4. Suppose -3*i = 4*w + 20, w - 4*i + 5 = -a*w. Let b(q) = q**2 + 5*q + 3. Calculate b(w). 3 Let d(t) be the second derivative of t**4/12 - 4*t**3/3 - 6*t**2 + 108*t. What is d(9)? -3 Let x(t) be the first derivative of -t**2 - 5*t + 44. What is x(5)? -15 Let o = 30 + -24. Let m(b) = o - 2*b + 3*b + 3*b - 1 + b**2. Calculate m(-4). 5 Let r be -10*(2*(-3)/6)/(-5). Let s(k) be the first derivative of 2 + 0*k**2 - 2*k + 1/3*k**3. Give s(r). 2 Suppose 6*b = -9 - 3. Let w(u) be the second derivative of -u**5/20 - u**4/3 - u**3/2 - u. What is w(b)? -2 Let x(l) be the first derivative of -l**2/2 + 2*l + 25. Let f(m) = m**2 + 9*m - 8. Let c be f(-9). Let p = 4 + c. Give x(p). 6 Let q(x) = -2*x + 2. Let n be 19 + -8 + 2 + -3. Let w be (-6)/n*-5 + 2. Calculate q(w). -8 Let s(x) be the first derivative of x**4/4 - 2*x**3 + 9*x**2/2 + x + 2. Let q be s(4). Let w(t) = 3*t + 2 - 3 - 6. Determine w(q). 8 Let s = 23 - 15. Let l = s - 7. Let p(z) = 11*z**2 - 2*z + 1. What is p(l)? 10 Let w(l) be the third derivative of -l**5/60 - 5*l**4/24 - 5*l**3/3 - 16*l**2. Determine w(-4). -6 Let o(g) = -4*g**2 + 5*g + 6. Let v be o(-1). Let w(y) = 5*y + 4. Calculate w(v). -11 Let h(b) = -b**2 - 6*b - 1. Let g(d) = d**3 + 16*d**2 - 3*d + 9. Let s be g(-16). Suppose 3*v + s - 45 = 0. Give h(v). 7 Let d(h) = -h - 4. Let n(x) = -4*x - 21. Let c(f) = 11*d(f) - 2*n(f). Give c(4). -14 Let y(m) = -m**2 + 9*m + 2. Suppose -4*j + 22 = 5*x, -4*j - 4*x + 1 + 23 = 0. Determine y(j). 10 Let q(i) = -i**2 - i + 1. Let y be 6/10*110/66. Determine q(y). -1 Let l(n) = 6*n - 8 - 26 - 13 + 46 + 4*n. Determine l(-2). -21 Let a(p) = -p**3 - 9*p**2 - 13*p - 8. Let o(j) = 2*j**3 + 18*j**2 + 25*j + 15. Let n be ((-64)/48)/(-1 - 8/(-6)). Let r(h) = n*o(h) - 7*a(h). What is r(-8)? 4 Suppose 30 = -3*g - 2*g. Let m(z) = -15*z**3 - 25*z**2 - 13*z - 17. Let w(i) = -7*i**3 - 12*i**2 - 6*i - 8. Let p(y) = -6*m(y) + 13*w(y). Determine p(g). -2 Let n(d) = 10*d**3 - 7*d**2 + 6*d**2 - 2*d + d**3 - 10*d**3 - 1. Let p be 1/(-2*3/(-30)). Suppose 0 = -p*u - 5 + 15. What is n(u)? -1 Let g(j) = j**2 - j. Let y(o) = -8*o**2 + 5*o - 1. Let z(b) = -11*g(b) - 2*y(b). Calculate z(-1). 6 Let d(k) = k**2 - 30*k + 58. Let v be d(28). Let r(f) = -11*f + 3. Give r(v). -19 Suppose 0 = -25*g - 9*g + 34. Let o(r) = -25*r**3 + 2*r**2 - r - 1. Give o(g). -25 Let r(q) = -3*q**2 - 12*q + 9. Suppose -5*a + w + 24 = 0, 2*w = -a + 2 - 6. Let f(u) = -u**2 - u + 1. Let d(j) = a*f(j) - r(j). Determine d(7). 2 Let g = -21 - -22. Suppose -3*h - g = -4*h. Let d(u) = -7*u**3. Give d(h). -7 Let y = -70 - -72. Suppose -4*u = 2*i - 18, y*i + 2*i - 20 = 0. Let c(l) be the first derivative of -l**4/4 + 4*l**3/3 - l**2 - l + 2. Calculate c(u). 3 Suppose l = 2, 5*p + 2 = 3*p + 4*l. Suppose -p*f + 5 = -2*f. Suppose 3*a - 10 = -3*u + 11, f*a = 4*u - 1. Let y(b) = 2*b - 4. What is y(a)? 2 Let q be 2*-2 - -2 - -7. Let l(u) = 2. Let a(w) = w + 1. Let m(d) = -3*a(d) - l(d). What is m(q)? -20 Let l(v) be the second derivative of v**6/360 + 3*v**5/40 + v**4/4 + 23*v**3/6 - 22*v. Let n(k) be the second derivative of l(k). What
{ "pile_set_name": "DM Mathematics" }
(d) + 2*z(d). -36*d**2 + d Let n(i) = -275*i**3 + 12*i**2 + 6*i - 12. Let q(z) = -6600*z**3 + 286*z**2 + 143*z - 286. Give -143*n(b) + 6*q(b). -275*b**3 Let t(p) = 6*p**2 - 4*p + 1. Let a(v) be the second derivative of -7*v**4/12 + 5*v**3/6 - v**2 - 2*v + 16. Calculate 5*a(l) + 6*t(l). l**2 + l - 4 Let v(q) = 10*q + 1. Let w(l) = -11*l - 2. Suppose 0 = -11*p - 19 + 63. What is p*v(t) + 3*w(t)? 7*t - 2 Let a(s) = s**2 + 4*s + 1. Suppose 2*c = 20*j - 18*j, 2*c - 3 = -j. Let z(v) = -v**2 + v + 1. What is j*a(k) - z(k)? 2*k**2 + 3*k Let q(a) = 7*a**3 - 10*a. Let h(c) = 3*c**3 - 5*c. Let i(s) = 9*h(s) - 4*q(s). Let w = 61 + -51. Let k(u) = 0*u + u + u - u. Give w*k(v) + 2*i(v). -2*v**3 Let j(x) = 5*x**2 - 3. Let r(g) = -g + 2. Let d be r(-2). Suppose -d = p - 13. Let b(c) = 21*c**2 - 13. Give p*j(t) - 2*b(t). 3*t**2 - 1 Let k(j) = -5*j**2 + 9*j + 8. Let f be k(-1). Let c(i) = -9*i - 3. Let v(p) = 8*p + 3. What is f*c(x) - 7*v(x)? -2*x - 3 Let l = -192 - -191. Let x(j) = -4*j**3 - 5*j**2 + 6*j. Let d(h) = -h**3 - h**2 + h. What is l*x(n) + 6*d(n)? -2*n**3 - n**2 Let m(r) = -1. Let t(u) = -15 + 7 + 8 + 4. Let x(w) = w. Let o be x(-2). Let d(n) = o*t(n) - 10*m(n). Let z(h) = -h - 11. Give -11*d(g) - 2*z(g). 2*g Let j(g) = 58*g**2 - 23*g + 17. Let r(v) = 19*v**2 - 8*v + 6. Give -6*j(y) + 17*r(y). -25*y**2 + 2*y Let r(o) = -7*o**3 - 5*o**2 - 226*o. Let v(p) = 4*p**3 + 3*p**2 + 113*p. Give 3*r(l) + 5*v(l). -l**3 - 113*l Let x(p) = -3*p**2 - p + 2. Suppose 4*k - 5*b = -4*b + 9, 4*b = -2*k. Let m(i) = 2*i**2 + i - 3. Determine k*m(v) + 3*x(v). -5*v**2 - v Let h(z) = -2*z**3 - 2*z**2 + 3*z + 3. Let g be h(-2). Suppose 6*p - g = 7. Let w(t) = -2*t**2 - 2. Let b(r) = -r**3 - 2*r**2 - 2. What is p*b(m) - 3*w(m)? -2*m**3 + 2*m**2 + 2 Let o(w) = -8*w - 11. Let m = 32 - 36. Let a be o(m). Let t(p) = 3*p**2 - 2*p. Let v(y) = 10*y**2 - 7*y. Determine a*t(g) - 6*v(g). 3*g**2 Let f(v) = 2*v**3 + 3*v**2 - 11*v - 8. Let y(i) = -11*i + i**3 + 2*i**2 + 7*i - 2*i**2 + i**2 - 3. What is 4*f(l) - 11*y(l)? -3*l**3 + l**2 + 1 Let h(q) = q - 4. Let i(w) = -w + 5. Give -5*h(u) - 6*i(u). u - 10 Let j(c) = -4*c**3 - 3*c + 3. Suppose -2*r = -4, -2*t = 5*r - 3*r - 10. Let h(q) = -5*q**3 - 4*q + 4. Suppose -35*n + 8*n - 108 = 0. Calculate n*j(l) + t*h(l). l**3 Let s(u) = -u - 9. Let i(n) = -24*n + 361. Let h be i(15). Let l(f) = -1. Determine h*s(v) - 4*l(v). -v - 5 Let h(n) = -3. Let g(a) = 1. Let z(r) = -2. Let j(c) = 2*g(c) - z(c). Let b(v) = 3*h(v) + 2*j(v). Let i(d) = -2*d**2 + 3. What is -3*b(k) - i(k)? 2*k**2 Let i(t) = -6*t - 2. Let v(r) = -12*r - 5. Suppose 4*k - 6 = 2*y, 12*y - 15*y + 2*k + 7 = 0. Let d = -13 + 11. Give d*v(q) + y*i(q). -6*q Let q be (1 - (-285)/(-6))/(33/(-88)). Let f(r) = 131*r + 1 - q*r + 0. Let i(p) = 4*p + 1. What is -3*f(x) + 5*i(x)? -x + 2 Let u(k) = -k**3 + 2*k**2 - 2*k - 62. Let g(l) = -6*l**3 + 11*l**2 - 11*l - 309. Determine -4*g(p) + 22*u(p). 2*p**3 - 128 Let k(o) = 30*o**2 + o + 5. Let b(a) = -89*a**2 - 3*a - 16. Calculate 2*b(s) + 7*k(s). 32*s**2 + s + 3 Let m(s) = 25275*s**2 - 675*s. Let b(a) = -75*a**2 + 2*a. Calculate -675*b(h) - 2*m(h). 75*h**2 Let v(j) be the second derivative of 2*j**4/3 + j**3/6 - j**2 - 2*j + 13. Let u(a) = -16*a**2 - 2*a + 3. What is -4*u(t) - 7*v(t)? 8*t**2 + t + 2 Let i(k) be the third derivative of -k**5/60 - k**4/12 - k**2. Let p(s) be the third derivative of s**4/24 - 528*s**2 + 3. Calculate i(z) + 4*p(z). -z**2 + 2*z Let y(b) = -3*b + 16. Let a(d) = 9*d - 47. Calculate -3*a(v) - 8*y(v). -3*v + 13 Let f(j) = -4*j. Let y(v) = v + 1. Give -3*f(q) + 3*y(q). 15*q + 3 Let d(n) be the third derivative of 5*n**4/24 - n**2. Let h(v) be the first derivative of -11*v**2/2 + 257. Determine -7*d(t) - 3*h(t). -2*t Let w(s) = -s**2 + 8*s + 17. Suppose -48 = -4*c - 2*b, 38 = 3*c + 3*b - 1. Let x(y) = 3*y + 6. Determine c*x(u) - 4*w(u). 4*u**2 + u - 2 Let v(s) = 6*s**2 + 2*s - 250. Let b(z) = 7*z**2 + 2*z - 249. Determine 5*b(l) - 6*v(l). -l**2 - 2*l + 255 Let p(q) = -q - 10 + 37 + 5*q - 19. Let z(s) = -4*s + 5*s - 3 + 4. Give -p(m) + 8*z(m). 4*m Suppose -31*h - 2*p - 14 = -36*h, -p = -3. Let i(w) = -6*w**2 + 7*w - 10. Let g(l) = -2*l**2 + 2*l - 3. What is h*i(c) - 14*g(c)? 4*c**2 + 2 Let j(d) = -23*d - 11. Let k(c) = 8*c + 4. Let l be ((-6)/18)/((-2)/36). Suppose -l = p - 1, r = -4*p - 37. What is r*k(h) - 6*j(h)? 2*h - 2 Let l(t) = 304*t**2 - 11*t - 5. Let f(d) = 303*d**2 - 9*d - 4. Calculate 5*f(k) - 4*l(k). 299*k**2 - k Let h(j) be the second derivative of j**4/4 - 5*j**3/6 - 2*j**2 - 133*j. Let l(a) = 4*a**2 - 6*a - 5. Calculate 6*h(b) - 5*l(b). -2*b**2 + 1 Let t(c) = 5*c + 53. Let f(a) = 6*a + 53. Calculate 3*f(d) - 4*t(d). -2*d - 53 Let v(o) = 26*o. Let t(d) = -5*d. Suppose 4*x - 10 = -2*b, -5*b + 5*x + 8 = -17. Suppose 2*c + 28 = -z, -b*c - 2*z = 65 + 7. Determine c*t(u) - 3*v(u). 2*u Let w = 133 + -124. Let i(l) = 27*l + 9. Let q(m) = 7*m + 2. Give w*q(j) - 2*i(j). 9*j Let s(f) = -11*f + 5. Suppose -152 = 35*i + 23. Let p = 41 - 47. Let j(b) = 12*b - 6. Calculate i*j(g) + p*s(g). 6*g Let k(a) = 7*a**2 - 5*a - 210. Let p(y) = -8*y**2 + 6*y + 211. Give -6*k(t) - 5*p(t). -2*t**2 + 205 Let j(v) = -2*v - 12. Let d(f) = 5*f + 38. Determine -4*d(m) - 11*j(m). 2*m - 20 Let n(i) = 12*i - 3. Suppose -2*r = j + 12, 5*j - 10*j + r - 38 = 0. Let d(b) = 35*b - 8. Give j*n(x) + 3*d(x). 9*x Let d(y) = -6076*y**3 + 310*y**2 - 310*y - 620. Let v(s) = 59*s**3 - 3*s**2 + 3*s + 6. Calculate -3*d(p) - 310*v(p). -62*p**3 Let k(w) = -4*w**2 - 5*w + 7. Let o(i) = -7*i**2 - 8*i + 13. Give -5*k(c) + 3*o(c). -c**2 + c + 4 Suppose -21*r = -18*r + 3. Let h(m) = -1 + 0*m - 2*m + 2*m + m. Let t(y) = -y. Calculate r*h(p) - 3*t(p). 2*p + 1 Let l(v) = 3*v**3 + 7*v**2 + 20*v - 15. Let d(u) = -2*u**3 - 4*u**2 - 11*u + 8. Give -11*d(y) - 6*l(y). 4*y**3 + 2*y**2 + y + 2 Let h(q) = 108*q**2 + q - 10. Let y(i) = -270*i**2 - 3*i + 24. Calculate -12*h(j) - 5*y(j). 54*j**2 + 3*j Let q(i) = i**3 - i**2 + i + 1. Let z(d) = 3*d**3 - 4*d**2 + 3*d + 3. Let y(f) = 2*f**3 + f + 1. Let l(u) = y(u) + z(u). What is l(o) - 4*q(o)? o**3 Let y(t) = t**3 - 11*t**2 + 13*t + 18. Let n be y(10). Let c = n + -42. Let o(q) = -12*q. Let l(s) = 2*s. What is c*o(g) + 34*l(g)? -4*g Let c(b) = -226*b**2 + 2*b - 4. Let w(t) = 229*t**2 - 3*t + 6. Determine -6*c(h) - 4*w(h). 440*h**2 Let c(n) = 4*n + 1. Let i(u) = -52*u + 4. Give 5*c(q) + i(q). -32*q + 9 Let s(m) = m**2 - m + 1. Suppose 11 = -5*g + 16. Let d(j) = -j**3 - 6*j**2 + 8*j - 4. What is g*d(c) + 6*s(c)? -c**3 + 2*c + 2 Let b(n) = 9*n**3 - 18*n**2 + 18*n - 18. Suppose 0 = -d + 6*d + 90. Let p(c) = -c**3 + c**2 - c + 1. Calculate d*p(l) - b(l). 9*l**3 Let z(v) = -6*v - 2. Let u(q) be the third derivative of -13*q**4/24 - 5*q**3/6 + 4*q**2. Determine -4*u(f) + 9*z(f). -2*f + 2 Let y(q) = q + 1. Let v(w) = w**3 + 9*w**2 - w - 8. Suppose 18*f - 16*f + 18 = 0. Let k be v(f). Let x(j) = -2*j**2 + 3*j + 1. What is k*x(b) - 3*y(b)? -2*b**2 - 2 Let z(f) = 14*f**3 + 6*f + 168. Let h(y) = 12*y**3 + 5*y + 168. What is -6*h(b) + 5*z(b)? -2*b**3 - 168 Let z(l) = -l + 12. Let k(a) = -a + 19. Calculate -3*k(o) + 5*z(o). -2*o + 3 Let m(o) = o + 1. Let l = -467 - -462. Let n(h) = -4*h - 6. Determine l*m(q) - n(q). -q + 1 Let g(k) = 12*k**3 + 17*k**2 + 4. Let n(a) = -4*a**3 - 6*a**2 - 1. Determine -6*g(y) - 17*n(y). -4*y**3 - 7 Let c(q) = 2*q**2 - 26. Let u(x) = 5*x**2 - 28. What is 3*c(h) - 2*u(h)? -4*h**2 - 22 Suppose -4*z - 64 = -36*z. Suppose m - 4*k = -0*k - 9, -2*m - 4*k = -30. Let v(q) = -3*q**2 - 3*q. Let w(p) = p**2 + p. Give m*w(a) + z*v(a). a**2 + a Let j be 10/14 - 4/(-14). Let g(z) = -1. Let l(w) = 2 - 223*w - 3 + 2 + 2 + 220*w. What is j*l(p) + 2*g(p)? -3*p + 1 Let l(n) = -4*n + 5. Let y = 59 - 40. Let i(w) = y - 3*w - 18 + 2*w. Calculate 3*i(k) - l(k). k - 2 Let p(x) = -3*x**3 + 4*x**2 - 64*x + 10. Let f(s) = -9*s**3 + 11*s**2 - 192*s + 28. Calculate -4*f(c) + 11*p(c). 3*c**3 + 64*c - 2 Let f(k) = 3*k**2 - k + 5. Let s(t) = 16*t - 7 - 6*t + 8*t**2 - 11*t**2 + 3 - 9*t. Suppose -5*w = -5*j - 55, -2*j = j + 5*w - 7. Give j*s(g) - 5*f(g). 3*g**2 - g - 1 Let c be 0 - (9 + -3 + -7). Let h(i) = -i + 1. Let r(q) = 8*q - 4. What is c*r(x) + 6*h(x)? 2*x + 2 Suppose 99*p = 116*p - 85. Let v(b) = -b - 7. Let x(c) = -6. Determine p*x(s) - 4*
{ "pile_set_name": "DM Mathematics" }
t v(l) = -2*l. Let b(z) = 7*z**2 - 126*z + 8. Let u(k) = -39*k**2 + 629*k - 44. Let m(j) = -33*b(j) - 6*u(j). Calculate m(v(s)). 12*s**2 - 768*s Let c(y) = -y**2. Let v(h) = -4048821*h. Calculate c(v(i)). -16392951490041*i**2 Let p(b) = 13712*b. Let f(u) = 5*u**2 - 156. Give f(p(t)). 940094720*t**2 - 156 Let s(x) = -295943*x. Let k(u) = 3*u. Give s(k(i)). -887829*i Let c(k) = 7*k. Let o(q) = -6 + 11*q - 10*q + 3 - 11 - 8*q. Calculate c(o(a)). -49*a - 98 Let t = -113 + 118. Let v(b) = 5 - t - 4*b + 5*b. Let h(l) = -10*l**2. Calculate h(v(u)). -10*u**2 Let k(m) be the third derivative of m**4/12 + 2572*m**2. Let q(z) = -8193*z. Give q(k(d)). -16386*d Let a(b) = 1781610*b**2. Let c(r) = 3*r. Give c(a(y)). 5344830*y**2 Let c(l) = 3284*l**2. Let a(t) = 619*t. Let p(q) = -1392*q. Let v(b) = -9*a(b) - 4*p(b). Determine v(c(r)). -9852*r**2 Let c(m) = m. Let v(a) = -386600*a. Determine c(v(s)). -386600*s Let q(f) = 29*f**2 + 1200. Let w(m) = -m - 259. What is w(q(d))? -29*d**2 - 1459 Let z(j) = 4*j**2. Let v(w) be the third derivative of -3*w**2 + 0 + 0*w**3 + 0*w - 1/4*w**4. Calculate v(z(f)). -24*f**2 Let d(o) = 5*o - 10. Let n(a) = a + 163. Give n(d(p)). 5*p + 153 Let x(i) = 2351*i**2 + 20*i. Let k(c) = 1412*c. Give k(x(m)). 3319612*m**2 + 28240*m Let t(i) = 2*i**2. Let g(z) be the third derivative of z**4/24 - 93*z**3 + z**2 - 13*z - 73. What is t(g(d))? 2*d**2 - 2232*d + 622728 Let y(b) = 3*b**2 + 5*b + 5. Let d be y(-3). Let w(l) = 0*l + l - d*l. Let u(x) = x**2 - 7194 + 7194. Determine u(w(m)). 256*m**2 Let j(b) = 28*b. Let t = 12790 + -12788. Let f(i) be the third derivative of -1/60*i**5 - 4*i**t + 0 + 0*i**3 + 0*i**4 + 0*i. Determine j(f(u)). -28*u**2 Let o(l) = -21*l - 218204. Let a(j) = -j. Calculate o(a(s)). 21*s - 218204 Let h = -73 + 84. Let k(s) be the first derivative of 20 - 40 - s**2 + h. Let p(t) = -2*t. What is p(k(c))? 4*c Let h(p) = -8*p + 4. Let c(g) = g**2 + 12*g - 6. Let l(m) = 2*c(m) + 3*h(m). Let q(x) = -649*x - 2. What is l(q(a))? 842402*a**2 + 5192*a + 8 Let h(g) = g - 4. Suppose 0*u - 11 = 3*u + 4*d, -2*d = u + 7. Let b(a) = -2. Let w(z) = u*h(z) - 6*b(z). Let j(n) = -7*n**2. What is w(j(q))? -21*q**2 Let r(p) = -30*p**2 - 118502605 + 118502605. Let q(a) = 212*a. Calculate r(q(v)). -1348320*v**2 Let g(t) = 4*t. Let x be (-66)/(-18) - 2/3*1. Let u(y) = x - 3 + 14*y**2 + 10*y**2. Give u(g(f)). 384*f**2 Let o(b) be the first derivative of 7 - 5*b**2 - 1053*b + 19 + 1053*b. Let q(f) = 9*f. What is q(o(a))? -90*a Let q(l) = 8*l**2. Let y(j) = 753723*j**2 - 1. Give y(q(f)). 48238272*f**4 - 1 Let d be (-27)/(-2)*8*(4 - 3). Let q(i) = 1. Let o(k) = 6*k + 54. Let h(w) = d*q(w) - 2*o(w). Let b(x) = 14*x**2. Determine h(b(g)). -168*g**2 Let j(w) = 1032*w - 6873*w + 3395*w. Let y(m) = -3*m. Determine j(y(h)). 7338*h Let r(j) = -26 + 15 + 4 + 11*j + 7. Let d(z) = 20*z. Calculate r(d(l)). 220*l Let p(k) = k**2. Let q be (-16)/(-2 - -1 - 1). Let x(h) = h**2 + 5 - q + 0 - h + 4. Let y(s) = 15*s**2 - 2*s + 2. Let n(i) = 4*x(i) - 2*y(i). Determine n(p(j)). -26*j**4 Let t(c) = c - 5544366. Let a(u) = 2*u. Determine a(t(i)). 2*i - 11088732 Let x(a) = a**2 + 12*a + 18. Let z(g) = -2*g - 3. Let i(o) = x(o) + 6*z(o). Let r(f) = -8*f**2 + f**2 - 4*f**2 + 5*f**2. Give i(r(c)). 36*c**4 Let h(w) = w. Let o(q) be the second derivative of -q**4/12 - 44*q**2 + 196*q + 25. Calculate h(o(n)). -n**2 - 88 Let b(z) = -10*z - 8790. Let u(f) = 35*f. What is u(b(y))? -350*y - 307650 Let v(z) be the second derivative of -17*z**4 - 2*z + 1770. Let y(a) = 4*a. What is v(y(g))? -3264*g**2 Let i(t) = 4*t. Let h(d) = -64970395*d**2. Determine h(i(g)). -1039526320*g**2 Let n(s) be the third derivative of -s**4/12 - 67*s**3/3 - 3529*s**2. Let z(i) = -2*i**2. Determine z(n(v)). -8*v**2 - 1072*v - 35912 Let a(z) be the second derivative of -2399*z**3/6 - 3*z - 59. Let o(x) = -2*x. What is a(o(n))? 4798*n Suppose 2*b - 22 = 2*n, -3*b - n - 14 + 43 = 0. Let o(g) = 2*g - 24*g + b*g + 11*g. Let z(s) = 10*s. Determine o(z(t)). -10*t Let p(w) be the second derivative of -7*w**5/60 + 45*w**2 + 39*w. Let t(a) be the first derivative of p(a). Let j(i) = 8*i. Calculate j(t(d)). -56*d**2 Let w(r) = 3*r + 3182 - 6374 + 3192. Let z(x) = -834*x**2. Calculate w(z(p)). -2502*p**2 Let t(p) = -561054*p**2. Let o(z) = 8*z**2. Determine o(t(r)). 2518252727328*r**4 Let m(v) = -84926914*v**2. Let p(k) = -k**2. What is p(m(f))? -7212580721563396*f**4 Let p(o) = o. Let x(m) = 12563892*m. What is x(p(g))? 12563892*g Let w(a) = 1 - 12*a - 1. Let c(t) = 54*t**2 - 279*t**2 + 54*t**2 + 52*t**2 + 113*t**2. What is w(c(n))? 72*n**2 Let t(b) = 5*b + 7. Let s be t(1). Let n(m) = -6*m + s*m + 10*m. Let q(p) = -7*p. Calculate q(n(r)). -112*r Let r(c) be the first derivative of -2*c**2 + 1599. Let v(i) = 231*i. Calculate r(v(d)). -924*d Let t(w) = 3*w. Let a(s) be the third derivative of -155*s**2 + 0 + 0*s**3 + 83/24*s**4 + 0*s. Calculate a(t(y)). 249*y Let l(j) = -16*j. Let b(f) be the third derivative of f**6/45 - 10*f**3/3 - 15*f**2. Let v(r) be the first derivative of b(r). What is l(v(w))? -128*w**2 Let n(b) = -19492 + 19492 + 7*b**2. Let v(l) = 130*l. What is v(n(o))? 910*o**2 Let p(v) = 1385765*v. Let q(k) = 864*k**2. What is q(p(f))? 1659177764834400*f**2 Let o(j) = 7*j + 129. Let w(f) = -f + 12336. What is o(w(a))? -7*a + 86481 Let p(f) be the first derivative of -f**2 - 25. Let m(b) = -7*b - 28*b - 22*b + 3*b. Give m(p(x)). 108*x Let w(b) = 81371547*b**2. Let h(u) = u**2. What is w(h(i))? 81371547*i**4 Let x(s) = -2*s**2. Let c = -23966 - -23969. Let b(f) be the third derivative of 0*f**c - 1/8*f**4 - 7*f**2 + 0 + 1/10*f**5 + 0*f. Determine b(x(j)). 24*j**4 + 6*j**2 Let r(f) = -4145*f**2 - 4145*f**2 + 8295*f**2. Let a(z) = z**2 + 5*z**2 + 2*z**2. Give r(a(d)). 320*d**4 Let y(v) = 2*v**2 - 3*v - 3. Let n(c) = c + 4 - 5*c**2 + 4*c**2 + 1 - 4. Let z(s) = 6*n(s) + 2*y(s). Let i(w) = w**2 + 12744*w - 12744*w. Give i(z(a)). 4*a**4 Let l(m) = 3*m**2 - m**2 - 5*m**2. Let t = -82 - -84. Let k(x) = -10*x**2 - 8*x**2 + 2*x**t + 24*x**2. Calculate l(k(f)). -192*f**4 Let z(x) = 2*x. Let j(y) = -80*y + 774. Let p(a) = 24*a - 258. Let k(g) = -2*j(g) - 7*p(g). Give k(z(o)). -16*o + 258 Let r(v) = -17*v. Let d(g) be the second derivative of 23 + 0*g**2 + 0*g**3 - 2*g + 7/12*g**4. Calculate r(d(o)). -119*o**2 Let v = -152 - -164. Let h(x) = 14*x + 14*x + v*x - 22*x. Let y(k) = -4*k**2. Let a(q) = -5*q**2. Let c(n) = -3*a(n) + 4*y(n). What is h(c(g))? -18*g**2 Suppose 0 = -4*l - 1 + 9. Let w(i) = -16 + 33 - 17 - l*i. Let v(u) = 7*u + 2. Let t(q) = -13*q - 5. Let a(p) = 6*t(p) + 15*v(p). Determine w(a(c)). -54*c Let l(j) = 20146875*j**2. Let b(k) = 3*k**2. Calculate b(l(u)). 1217689716796875*u**4 Let n(q) = 7*q + 21. Let a(o) = -3*o - 10. Let m(p) = -5*a(p) - 2*n(p). Let s(b) = -86167*b**2 + 172329*b**2 - 86161*b**2. What is s(m(r))? r**2 + 16*r + 64 Let t(k) = 7*k. Suppose -5*f = 2*w + w - 49, 4*w = -3*f + 58. Let m be (-6)/(-15) - 6/(-60)*146. Let s(n) = m*n - 22*n + w*n. Give s(t(q)). 42*q Let m(w) = -2*w - 1772163. Let o(h) = 47*h**2. Determine m(o(b)). -94*b**2 - 1772163 Let r(q) = -8*q. Let t(u) = -887004*u - 2. Calculate r(t(z)). 7096032*z + 16 Let x(d) = 2*d**2 - 2*d - 1. Let k(l) = 37*l**2 - 6*l - 3. Let j(u) = -k(u) + 3*x(u). Let y(v) = -42*v + 1. Calculate y(j(i)). 1302*i**2 + 1 Let x(h) = -14*h. Let w(l) = -24641762*l. Calculate x(w(j)). 344984668*j Suppose -5*s + 2592 = -22*f + 26*f, 2*s - 2*f - 1044 = 0. Let k(x) = -s*x + 261*x + 260*x. Let d(z) = 18*z**2 - z. What is d(k(r))? 18*r**2 - r Let o(d) = -177879*d**2 + 3*d + 3. Let h(w) = 51*w**2. What is o(h(p))? -462663279*p**4 + 153*p**2 + 3 Let k(p) = -10*p - 2. Let c(z) = 10*z + 58092. Determine c(k(d)). -100*d + 58072 Let l(s) = 52008*s**2 + 5 - 5 - 52007*s**2. Let d(m) be the second derivative of 8*m + 5/4*m**4 + 0*m**3 + 0*m**2 + 0. What is d(l(i))? 15*i**4 Let k(y) = 6*y + 26. Let c = 408 - 447. Let n(w) = w + 4. Let x(v) = c*n(v) + 6*k(v). Let o(a) = 104*a**2. What is o(x(p))? 936*p**2 Let n(g) = 1557136*g. Let f(j) = 13*j**2. Calculate f(n(z)). 31520742792448*z**2 Let s(z) = z + 140. Let r(j) = 19542*j. Determine s(r(u)). 19542*u + 140 Let k(z) = z**2 - 4*z + 4. Let h(d) = d**2 + 5 - 2 - 9*d + 4*d + 2*d. Let n = -6 - -3. Let f(x) = n*k(x)
{ "pile_set_name": "DM Mathematics" }
(-24). Suppose q + q = 4. Solve n = -q*a - 3 for a. -3 Let k(p) = p**2 + 2. Let s be k(0). Solve 3 = r - s for r. 5 Suppose 5*h - h - 16 = 0. Let v be (-11)/(-6) + h/24. Solve -5*m = -4*m - v for m. 2 Suppose -3*n - 4*t + 8*t = -36, -t - 12 = -n. Solve -2*q - n = 2*q for q. -3 Let r be (-2)/(-2 - -10)*-4. Let o = 4 - r. Solve -4*v = -o*v for v. 0 Let w be (-1)/(10/(-4))*-5. Let p be (-20)/(-15)*(-3)/w. Solve -p*x = -x for x. 0 Suppose -17 + 5 = -3*w. Solve c = -3*c + w for c. 1 Let g = 61 + -58. Solve 2*s + 1 = g*s for s. 1 Suppose 2 = -5*i + 22. Let n be 2/(i/(-6)) - -5. Let h be 1*(n - 4)*-2. Solve h*g + 3 = 11 for g. 2 Let f(z) = -z**2 + 3*z. Let k be f(2). Solve 0 = -3*a - 4 - k for a. -2 Suppose -4*x + 2 = 10. Let s(p) = -4*p - 2. Let q be s(x). Solve 0 = -f + q*f for f. 0 Let o be 4 - -3*4/(-6). Suppose 2*w - u = 5, 5*w = 2*u + 10 + 4. Solve w - 2 = o*d for d. 1 Let m = -31 - -46. Let p = -15 + m. Solve p = 4*f - 0 - 8 for f. 2 Suppose -8*t + 52 = 5*t. Solve -l + 20 = t*l for l. 4 Let h = 15 + -13. Solve 0 = -g - h for g. -2 Suppose -2*o - 2 = z, 0 = -3*z + 3*o + o + 14. Solve -z = u - 2*u for u. 2 Let f(u) be the second derivative of 2*u**3/3 - u**2/2 + 8*u. Let r be f(1). Solve 0 = r*i - 13 + 1 for i. 4 Let u(x) = -x**2 - 13*x + 14. Let d be u(-14). Solve -4*b - 17 + 1 = d for b. -4 Let o = 4 + -1. Suppose -u = 0, -5*u + 2 = -2*d + 6. Suppose 4*a = -0*b + 3*b - 20, -d*a + 18 = 2*b. Solve -o = y - b for y. 5 Let r(o) = -o**3 - 7*o**2 + 3*o - 35. Let i be r(-8). Solve 7 = -2*z + i for z. -1 Suppose -4*l = 5*r - 2*l - 11, -5*l = -r + 13. Let p be 3 + 0/(9/r). Solve 0 = -q - p*q for q. 0 Let x be (7/2)/((-8)/16). Let f(m) = -m - 7. Let r be f(x). Solve z = -r*z for z. 0 Let a be (30/(-4))/(2/(-4)). Suppose 4*f - a = 9. Solve -f + 3 = -3*s for s. 1 Suppose 0 = 2*n - 3*n + 2. Solve 0 = 4*s - n*s + 10 for s. -5 Suppose 0*a = -2*a + 30. Let p = 18 - 12. Solve 3*j + p = a for j. 3 Let w be 4/(-2) - (-5 - 11). Let v = w + -7. Solve v + 3 = -2*u for u. -5 Let s(t) = t**2 - 5*t + 2. Let y be s(5). Let z be 51/3 - 2*1. Let l be 3/z - (-2)/(-10). Solve l = 2*i - i + y for i. -2 Let s(f) = -f**2 + 6*f + 2. Let q be s(6). Solve r = q*r - 5 for r. 5 Let t(y) be the third derivative of -y**6/120 + y**5/15 - y**4/24 + 8*y**2. Let b be t(3). Solve 0 = -4*f + b + 10 for f. 4 Let n(g) be the second derivative of -5/2*g**2 + 0 + 3*g + 11/6*g**3 - 1/12*g**4. Let a be n(10). Solve -a*w + 2*w + 3 = 0 for w. 1 Let i(q) = q - 5. Let c be i(10). Suppose 0 = -6*g + 4*g. Suppose g*z = -2*z - 4*t + 6, -4*z + 4*t = -12. Solve -z*u + 4*u = c for u. 5 Suppose 5*q - 40 = -0. Solve -3*n - q = 7 for n. -5 Let r(d) = d**2 + 5*d + 1. Let o(m) = m**2 + 5*m. Let p(l) = -4*o(l) + 3*r(l). Let y be p(-5). Let k(x) = 2*x - 1. Let i be k(y). Solve i*s - 14 = -4 for s. 2 Suppose 2*v - 1 = 1. Let l be ((-6)/(-2))/v - -1. Solve s = l - 2 for s. 2 Let f(t) = t**3 - 9*t**2 + 7*t + 8. Let u be f(8). Suppose -3*k - k = u. Solve -3*n + k*n = 0 for n. 0 Let g(d) = 4*d**3 + d**2 - d + 1. Let l be g(1). Let b = -5 + l. Solve 1 = -q - b for q. -1 Suppose 7 = 5*m + 3*j, 3*m = 3*j + 8 + 1. Let k be ((-2)/m - 0) + 1. Suppose -2*b + 10 + 0 = 0. Solve -3*v + b*v = k for v. 0 Let b be (-69)/3*(-2 + 6). Let u be (-4)/22 + b/(-22). Solve 5*o = u*o - 4 for o. -4 Let m(o) be the first derivative of -o**4/4 + 2*o**3 + 4*o - 2. Let y be m(6). Solve y*a - 1 = 5*a for a. -1 Suppose -4*d + 13 - 1 = 0. Let p(q) = -q**2. Let b be p(-2). Let v be 1*b + 2 + 2. Solve v = -3*l - 0 - d for l. -1 Let m be 2/(2/2) + 0. Suppose -x - 4 = -u, 0 = -2*u + 4*u - 4*x - 6. Suppose 0 = b + 2 - u. Solve -m*t = -b*t - 4 for t. -4 Let z = 1 + -1. Suppose -3*a - 3 + 15 = z. Let d = -3 + a. Solve -y + d = -2*y for y. -1 Suppose -2*x - 3*x = t + 11, -t - 3*x - 5 = 0. Suppose q - 16 = i, -3*i - 1 = -t. Solve q = 4*f + 5 for f. 3 Suppose -9*v + 11*v - 4 = 0. Solve 5 = -v*w - 3 for w. -4 Suppose o = 3 + 3. Suppose -o*m - 4*p = -3*m - 75, -5*p = 3*m - 75. Solve 4*a = -a + m for a. 5 Let c = -66 + 76. Solve 4*f + 10 = -c for f. -5 Suppose m - 2*y = -6*y - 3, 4*m - 4*y = -12. Let x be m*(1 + (-1 - 1)). Solve 0 = -0*v + x*v + 3 for v. -1 Let v(b) be the first derivative of b**3/3 + b**2/2 + 5*b + 3. Let l be v(0). Solve -3 = -l*w + 7 for w. 2 Let z = -44 + 47. Solve y + 16 = -z*y for y. -4 Let q be ((-1 - -1)/(-1))/(10/5). Suppose 7*y - 2*y = -2*b + 12, -2*y = -b - 12. Solve q = 5*l - y*l - 1 for l. 1 Let b = 6 - 6. Solve -z = -b*z for z. 0 Suppose -3*m + 3 + 3 = 0. Suppose -7*p - p = -72. Solve p = h + m*h for h. 3 Let t(u) = u**3 - 6*u**2 + 5*u - 26. Let i be t(6). Solve -9*v + i*v = 0 for v. 0 Let t be (18/(-5))/(3/(-15)). Suppose 14 = 3*x + f, -f - t = -3*x - 2*x. Let l be 0 + -2*(2 - 3). Solve x*i - 4 = l*i for i. 2 Suppose 0 = -2*r + 10 - 2. Solve -8 = -6*s + r*s for s. 4 Let f(a) = a + 5. Let x be f(-4). Solve -13 = 4*k - x for k. -3 Suppose 3*r - 6 + 0 = 0. Suppose 5*x + 3*i = 16, 3*x + 4*i - 12 = r. Solve -1 = 3*l + x for l. -1 Let s = 8 + 10. Suppose l + 2*l - s = 0. Suppose -c = 5*v, -5*c + 6*v = 2*v. Solve 4*g - g - l = c for g. 2 Let c(k) = -2*k**3 - 2*k**2 - 3*k - 2. Let a be c(-2). Solve -2*f - f = a for f. -4 Let x = 52 + -33. Let q be (-2)/(-2) + -1 + 2. Suppose q*s = 5*i - i, 5*i - 14 = -s. Solve s*l - 3 + x = 0 for l. -4 Let b = -2 - 1. Let r be (-12)/(-9)*b/(-2). Solve -o + r + 2 = 0 for o. 4 Let o = 10 - 7. Suppose -o*a = -5*k + 6, 1 + 5 = 2*a. Solve k*r - 7*r - 20 = 0 for r. -5 Suppose 20 = d - 6*d, -4*t + 4*d = -24. Suppose -2 = -h + t. Suppose l + l = h. Solve -l*u - 3 = 1 for u. -2 Suppose 0*a = h + 3*a + 10, 0 = h - 5*a - 22. Suppose -4*d + 35 = -5*p - h, 2*d = -p + 1. Solve -2*j - 5 = d for j. -4 Suppose -12*d - 20 = -16*d. Solve -5*b + d = -5 for b. 2 Suppose -2*f - 4*c + 20 = 3*f, 2*f = 2*c + 8. Suppose 4 = 4*v + 4*p, -6*p + f = -2*p. Solve 6*i - 3*i = v for i. 0 Let c be ((-2)/6)/(-2 + (-85)/(-45)). Solve -2*p + 1 = c for p. -1 Let s be (-3)/(-1) + 0 - (-20 + 19). Solve 0 = s*t + 1 + 11 for t. -3 Let x be (-558)/(-27) + (-4)/6. Suppose -2*g + 2*q + 4 + 2 = 0, -4*g - 4*q + x = 0. Solve 0 = p - g + 3 for p. 1 Suppose -3*q = 5*v - 35, 6*q - 4*v - 16 = 4*q. Solve 4*f + q = -f for f. -2 Let h be (4/(-3))/((-1)/3). Suppose -h*d + 7 = -3*d - 2*i, 3*d - 5 = -2*i. Solve 6 + 9 = -d*y for y. -5 Let a = -16 + 16. Solve a = 4*x - 4 + 24 for x. -5 Let k be 5/15 - (-14)/3. Suppose 2*w - 2*u + 2 - 8 = 0, -2*u = -w + k. Solve -9 + w = 4*j for j. -2 Let k(p) = p**3 - 6*p**2 - 2*p + 14. Let i be k(6). Suppose 4*l = -0*l + 4. Let q be -1 - i - (l - 6). Solve -a = q*a - 6 for a. 2 Let d be 6/18 + 14/3. Solve -2*z + 3*z + d = 0 for z. -5 Let w(y) be the second derivative of -y**4/12 - 3*y**3/2 - 5*y**2/2 + 2*y. Let f be w(-8). Suppose -3*d - f = -12. Solve z = -d*z + 4 for z. 1 Let w(o) be the third derivative of -o**5/60 + 5*o**4/24 - o**3/2 + o**2. Let u be w(3). Solve u = -n - 0*n for n. -3 Suppose 2*a - 5*u = 1 - 20, 0 = -a - 2*u + 13. Let p be 2/4*0/(-1). Solve -x = -p*x + a for x. -3 Let f(b) = b**2 - 4*b + 2. Let h be f(5). Let o be (-3)/9*(4 - h). Solve -4*z = -o - 11 for z. 3 Suppose -4*o = 5*q + 43, 0 = 3*q + 10 - 1. Let p = -4 - o. Suppose -2*m - 2 = 0, -m + 1 = 3*s - 16. Solve -n = s - p for n. -3 Let m(v) = 0*v + 11 - 4 - 2*v. Let u be m(5). Let k(i) = i**2 + 2*i + 3. Let s be k(u). Solve 0 = -s*t + 4*t - 6 for t. -3 Let n be (-2)/(-3) - (-10)/(-6). Suppose -3*p = -5*p + 2. Let i = n + p. Solve i = -5*m - 6 - 14 for m. -4 Suppose -3*j = 5 + 1. Let y be ((-8)/6)/(j/3). Suppose -n - y*q = 3*q - 8, 5*q = n + 2. Solve -g + 4*g = -n for g. -1 Suppose -w + 20 = 3*w. Suppose -40 = -w*q + 3*s, 3*q = -s + 2*s + 20. Solve -q*p = -p + 20 for p. -5 Let i be (-3)/(5 + -2) + 1. Let y be (0*(-1 - i))/(-1). Suppose -a = -3*a + 10. Solve 25 = -a*n - y*n for n. -5 Suppose -4*k - 5 = -2*t + 23, -1 = -4*t - 3*k. Solve -t*b = b for b. 0 Suppose 5*l - 2*z = -1 + 2, 4*l = 3*z - 2. Let v be (l - 7)/2*-1. Suppose v*n - 15 = -3. Solve 4*q = 2*q + n for q. 2 Let c(y) be the second derivative of -y**5/20 - y**4/12 + y**3/6 + y**2 - 2*y. Let t be c(-2). Let h = t - -2. Solve -2*r = r + h for r. -2 Suppose 4*q = 2*s + 22, -3*q - 4*s - s + 23 = 0. Suppose -5*j - 2 = -17. Suppose 3*r = -j, 3*r + 30 = 5*n - 2*r. Solve -c = -q*c + n for c. 1 Supp
{ "pile_set_name": "DM Mathematics" }
ve -20 = -v*o + 4*g, o - 3*g - 11 = -o for o. 4 Let r be 1 + (-32)/(-20) - (-4)/10. Let b(y) = -2*y + 1. Let a be b(-2). Solve r*t + 5*k = 1, -3*t + 12 = -a*k + 1 for t. 2 Let u(s) = -s**3 + 14*s**2 + 14*s + 20. Let l be u(15). Solve -6*z + 2*f = -z - 20, -f + 5 = l*z for z. 2 Suppose -5*h + 5*t = 5, -t = 7*h - 3*h - 21. Solve h*c = d + 7*c - 10, -3*c + 9 = 0 for d. 1 Suppose -30*j + 28*j = 0. Solve x - 5 = 0, 17 = -3*w + x - j*x for w. -4 Let v(u) = -u**3 - 5*u**2 - 2*u - 5. Let z be v(-5). Suppose z*b - b = 56. Let g be (-10)/(-3) + (-2)/(-3). Solve 0 = k + r, -b = g*r + 2 for k. 4 Let l(x) = -x + 4. Let p be l(0). Let y(r) = r**3 + 3*r**2 + 2. Let v be y(-3). Let k be 2 - ((-1 - -1) + v). Solve k = h - 2*d + p + 1, -d - 25 = 5*h for h. -5 Suppose u = 5*u - b + 13, 0 = 4*u - 4*b + 4. Let h(m) = 2*m**2 - m - 1. Let w be h(-2). Let y = u + w. Solve 0 = 5*i - 4*p + y, -4 = 4*i - 4*p + 2*p for i. -1 Let c(t) = -2*t + 1. Suppose 4*p + 6 = p. Let o be c(p). Suppose -v - 3 + 0 = 0, 28 = o*z - v. Solve -2*a - a = z*g, 4*a = -g for g. 0 Suppose 7*k - 10*k + 3 = 0. Solve -x - k = 3*c, -5*x = -c - 19 - 8 for c. -2 Let a(n) = n**2 - 7*n - 10. Let c be a(8). Let o be 3*c/(-9)*21. Solve 2*f = t + 3*t + o, 0 = t - 5*f + 8 for t. -3 Let r(k) = -k**2 - 6*k - 3. Suppose 0 = -8*d + 12*d + 8. Let b be r(d). Solve 5*y + b*h + 3 + 12 = 0, -4*y + 5*h = 21 for y. -4 Suppose -2*j + 4 = -j. Let i(b) = b - 4. Let q be i(j). Solve -2*n - 3*u + 2*u - 9 = q, 5*u + 17 = 4*n for n. -2 Let c be ((-1)/(-3))/((-16)/(-96)). Solve -14 = -3*v - c*o, o - 4*o + 4 = -4*v for v. 2 Let v be 18/(-5) + (-2)/5. Let p = 6 + v. Let l be -2 + 2 + (-36)/(-9). Solve 5*a = t + p + 3, -l = -4*t - 4*a for t. 0 Let o(m) = m**2 - 5*m + 4. Let t be o(5). Suppose q - 3*q = t. Let n be (q - (-3 + -1))/1. Solve 4*l + 15 = -3*v, 4*v - n = -0*v + 2*l for v. -1 Let s(a) = a**3 + 2*a**2 - 1. Let f be s(-1). Solve f = 2*t - 3*t - 2*i - 5, 0 = -4*i - 20 for t. 5 Suppose -2*m + 22 = 5*v, 4*m + 34 = 9*m + 2*v. Solve 8 = 3*z + 4*g, m*z = z - g + 2 for z. 0 Let j = 110 - 108. Solve -q - i - 5 = j*q, 4*q - 2 = 3*i for q. -1 Let i = 4 - 12. Let q = -5 - i. Solve 4*b - 1 = -q*f, 0*b - f = 2*b - 1 for b. 1 Let s be (-4)/(-18) + 16/9. Let q = -21 - -21. Solve -5*r + 4*y + 28 = 0, -s*r + 10 = -q*r - y for r. 4 Let f(n) = 2*n**3 - 19*n**2 - 9*n - 8. Let c be f(10). Solve 0 = 2*d - 2*i - c, -5 = 2*i - 1 for d. -1 Let q(o) = o + 11. Let a be q(2). Solve 3*n = -4*i - 6 - 2, a = -3*n - 5*i for n. 4 Let w(l) = -l**3 - 12*l**2 - 11*l + 5. Let h be w(-11). Let o be 2/3*(-15)/(-10). Suppose 0 = 2*x - o - 3. Solve 3*n = 2*f - 0*n - 7, -x*f = -h*n - 13 for f. -1 Let b = -10 - -10. Let r(t) be the third derivative of -t**6/120 - t**5/60 + 2*t**3/3 - t**2. Let n be r(b). Solve 0 = 3*h - n*g, -2*g = 5*h - 3*h for h. 0 Let r be 32/4 + (-1)/1. Let n = r + -3. Solve i + 3*i + 5*c = -17, 0 = 2*i - n*c - 24 for i. 2 Let r(t) = -t**3 + 13*t**2 - 10*t - 14. Let i be r(12). Suppose l - w - 37 = -2*l, -2*w = -i. Solve 0 = 5*n + 6 - 1, -5*d + n = l for d. -3 Suppose 2*f - 10 = -6. Solve 0*r - 2*g = f*r, -4*r - 6 = g for r. -2 Let r = 31 + -20. Let w(s) = -s**3 + 11*s**2 + s - 8. Let b be w(r). Solve -5 = x - 2, n - b*x = 8 for n. -1 Suppose 3*f - 10 = 26. Let r = f + -3. Solve -3*n - 13 = -2*p, -2*p - n + r = -0*n for p. 5 Suppose -5*z + h + 4*h + 30 = 0, 0 = 4*z - 3*h - 20. Suppose -24 + 4 = -z*k. Suppose k = 3*w + 2*w. Solve -t - 4 = -w*t, 4*q - 4*t + 36 = 0 for q. -5 Let i(f) = -f**3 - 8*f**2 - f - 8. Let x be i(-8). Solve -3*n + 16 = -5*r, 3*r + 21 = -2*n - x for r. -5 Let t be 7/3 - (-6)/9. Let l be (0 - -1)*(t - -2). Solve -3*r - 15 = l*n, -4*r = -4*n - 7 - 5 for n. -3 Let y(j) be the third derivative of -j**4/24 - 2*j**3/3 + j**2. Let v be y(-6). Suppose 22 + 24 = v*b. Solve -5*w + 20 = 5*z, -4*w + z = -2*z - b for w. 5 Let t be 51/68 + 214/(-8). Let j = -12 - t. Solve 5*m - 4 = 4*d - j, 3*m + 14 = 4*d for m. 2 Let q = 0 - -2. Suppose 12 = q*l + 4. Suppose -10 = -l*z - 2. Solve -3*k - 11 = -z*i, -i + 10 = -4*k - 3*i for k. -3 Suppose 0 = -5*d + 10, -3*h = -7*h - d + 22. Suppose -h*l + 70 = 3*a + 2*a, -3*l - 5*a = -46. Solve n + l = 2*n - 2*m, 2*m + 8 = -n for n. 2 Suppose 0 = -4*v + 2*v + 2*b + 8, -b - 1 = 2*v. Solve 2*i - m = -2*m + v, 2*i + 5*m + 19 = 0 for i. 3 Suppose 0 = -6*z - 3*z + 27. Let k(s) = -s**2 + 4*s - 3. Let v be k(3). Solve v = -5*l + z*f - 22, 3*f - 10 = 3*l - 2*f for l. -5 Let a be 2*((-3)/(-2))/1. Suppose -5 = -5*c + 5*r, -5*c + 5*r - 35 = -10*c. Solve -37 = -5*p - a*u - 0*u, -c*p - 2*u = -28 for p. 5 Suppose 2*n = a + 10, 4*a + 15 = n + 2*n. Solve -5*g + 3*g - u = 3, -6 = n*g + 4*u for g. -2 Let u(w) = w**3 + 14*w**2 - 16*w - 10. Let x(s) = s - 26. Let b be x(11). Let c be u(b). Solve -c*v = -v + 4*n + 8, 0 = 4*v + 3*n + 3 for v. 3 Suppose 17*o - 19*o = 0. Let w(f) = -f. Let z be w(o). Solve -2*p + 0 = -j - 4, z = 2*j + 5*p - 28 for j. 4 Let i be 15/(-9)*(-12)/4. Solve -3*v - 8 = -i*n, -2*n + n = v - 8 for n. 4 Let f be 25/100 - (21/4)/(-3). Solve 5*p + 3*u = 2*p - 15, 3*p - f*u = 0 for p. -2 Let d be ((-3)/2)/((-3)/4). Suppose u - 2*i - 7 = 0, -9 = -5*u + i - 4*i. Solve -2*r + 16 = 5*b, r + d + 1 = u*b for b. 2 Suppose f + 1 = -4*j + 52, -2*j = -3*f - 15. Suppose 3*l - j = -l. Solve 0 = h - 4*o + 16, -3*h - 4*o - 9 = -l*o for h. -4 Let f be -1 - 2 - -3 - -2. Suppose -4*s + 49 - 9 = 0. Solve 3*h - f*h - c = 4, 3*h - 2*c = s for h. 2 Suppose 3*m + 4 = 5*r, -m + 7*r + 12 = 8*r. Solve 0*p - 5*p + m = 4*o, 0 = -p - 2*o - 1 for p. 3 Let v be -194*((-2)/4)/1. Suppose 3*k = 4*c - v, -2*k - 123 = -0*c - 5*c. Solve -r = -h + 6*h + c, -h - 5 = r for r. 0 Let j(q) = 15*q + 1. Let m be j(1). Suppose 3*l - m + 4 = 0. Suppose -5*w = -4*w - 10. Solve -r - x = l, 3*r = -4*x - 6 - w for r. 0 Suppose 3*g + 1 = 7. Suppose g*f = 3*f - 5. Solve -3*y - y = 5*b - 40, 0 = -3*b + f*y - 13 for b. 4 Let i be 9 + -12 + (0 - -15). Solve i = 2*g + 4*n, -2*g + 0*n + 5*n = 15 for g. 0 Suppose -3*m = -m + 2*u - 14, 0 = 5*u. Suppose -m = -2*s - 3. Solve 6 - 21 = -5*g + s*t, -2*g - 2*t + 6 = 0 for g. 3 Let c(j) = -j. Let o be c(3). Let p = -3 - o. Solve 0 = 5*a + 15, 4*y + 5*a + 4 - 1 = p for y. 3 Let c be 1/2 - 5/(-10). Let q be (c - 1)*1/2. Solve -2*a = -4*p, q = -4*a - 2*p - 8 - 2 for a. -2 Suppose 5*c - 3 = 7. Suppose -2*a - 2 = -2*y + c, a - 2 = 0. Solve 2*b + 13 = u, 8 = -y*u - 5*b - 5 for u. 3 Let q = 13 + -11. Solve 2*b = 3*y - b - 21, q*y - 2 = -2*b for y. 4 Let o(n) = n**2 + n + 1. Let f be o(0). Suppose 3*k + 0*k - 35 = -5*j, -4*j = -3*k - f. Solve -j*i = -4*m - 12, 0 = -3*i + 4 - 1 for m. -2 Suppose -3*b - 2*c + 20 = -0*b, -3*c + 24 = 3*b. Solve v + 3*l = -v - 3, b*v = -2*l + 6 for v. 3 Let q(f) = -3*f + 15. Let w be q(1). Solve -5*s = -4*d - 27, -4*d + 2*s = 30 - w for d. -3 Let y be (-15)/25 - 96/(-10). Let c(f) = f**3 - 10*f**2 + 8*f + 13. Let q be c(y). Let v be (q/(-5))/(6/(-15)). Solve 16 = 4*u, -9 = 3*o - v*o - u for o. -5 Suppose -2*w - d + 14 = -6*d, 2*w - 3*d - 10 = 0. Suppose w - 9 = -c. Solve 2*r = y - c, -5*y + 0*r = -3*r - 28 for y. 5 Suppose -2*r + 10 = -0*r. Solve -14 = v + r*y, -4*y = -0*y + 12 for v. 1 Let f be -2*(1 + (-10)/4). Suppose -n + 8 = 3*n - g, f*g + 17 = 5*n. Solve 5*y + 4*u = -n, 3*u - 4*u - 4 = 5*y for y. -1 Let a = -13 + 11. Let y be (-3)/(4 - 1)*a. Solve 4*f + y*t + 0 = 2, 2*f = 4*t - 4 for f. 0 Let j = 11 + -7. Solve -5*h = -a + j + 4, 0 = 3*a + h - 8 for a. 3 Suppose 16 = -5*s + 3*s. Let m be -1 - s - -1*3. Solve -5*n - 5 = 3*d - 3*n, -5*d - 3*n - m = 0 for d. -5 Suppose 4*g + 5*n + 11 = 6*g, -4*g = -4*n - 16. Suppose g*v - 10 = v. Solve -i - 2 = v*d - 0, 2*d + 8 = -4*i for i. -2 Suppose 3*z - 24 = z. Let b(m) = -m**3 + 4*m**2 + 3*m - 2. Let i be b(3). Solve -5*u - z = -3*l, 2*l + 2*l = u + i for l. 4 Let l(r) = -r**2 + 5*r - 4. Suppose -v + 5*o = 2*o - 31, v = -4*o + 10. Let y be (-8)/12 + v/6. Let f be l(y). Solve 5*j + 10 = 2*u + 3*u, 3*j + 2 = f*u for j. 2 Let v be 5*(-2 - -1)/(-1). Let k = -16 - -48. Suppose 4*y - l - 11 - 7 = 0, -3*y + 4*l + 7 = 0. Solve -3*s - v*z = 5 - k, -3*z = -s - y for s. 4 Let l(y) = y**2 + 2*y. Let a be l(-1). Let w(m) = m + 1. Let q be w(a). Suppose q + 6 = 3*f. Solve 15 = 3*r - 0*r + 2*s, f*s - 6 = 0 for r. 3 Suppose 2*r - 2 = 2*v, -2*r = -3*v + 3*r - 5. Solve 7
{ "pile_set_name": "DM Mathematics" }
: 3, g: 1, m: 3}. Give prob of picking 1 m and 1 g. 3/91 Four letters picked without replacement from {k: 6, c: 4}. What is prob of picking 2 k and 2 c? 3/7 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 1, f: 1, a: 1}. 1/3 Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {z: 5, n: 15}. 455/969 What is prob of picking 1 p and 1 k when two letters picked without replacement from pjqpkqkppqqqpppqqp? 16/153 Three letters picked without replacement from vrrtstr. Give prob of picking 2 r and 1 s. 3/35 Three letters picked without replacement from bbvvvsbmvvmbbmbb. Give prob of picking 1 b, 1 s, and 1 m. 3/80 Four letters picked without replacement from {t: 9, r: 7}. Give prob of picking 4 t. 9/130 What is prob of picking 4 y when four letters picked without replacement from yyyyyyyyqyyyyyyyyqy? 35/57 Three letters picked without replacement from vddddvvddvdvdd. What is prob of picking 1 v and 2 d? 45/91 Four letters picked without replacement from {t: 2, h: 1, z: 3, p: 1, l: 4}. What is prob of picking 3 l and 1 z? 2/55 Four letters picked without replacement from abccbbcbcxsec. What is prob of picking 1 b, 1 s, and 2 c? 8/143 What is prob of picking 1 k and 1 s when two letters picked without replacement from kbkbfkkks? 5/36 Calculate prob of picking 2 t when two letters picked without replacement from bbbbtbbtbtb. 3/55 Three letters picked without replacement from {x: 1, q: 1, r: 1, e: 1, g: 1}. What is prob of picking 1 g, 1 x, and 1 q? 1/10 Two letters picked without replacement from rrrfffq. Give prob of picking 1 r and 1 q. 1/7 Two letters picked without replacement from {m: 1, q: 1, a: 2, g: 2, x: 1, r: 2}. What is prob of picking 1 x and 1 q? 1/36 What is prob of picking 1 o and 3 f when four letters picked without replacement from {i: 1, f: 4, o: 5}? 2/21 Three letters picked without replacement from {r: 11, u: 1, g: 3}. What is prob of picking 2 g and 1 r? 33/455 What is prob of picking 2 t and 2 e when four letters picked without replacement from eteetetteetett? 63/143 Three letters picked without replacement from xbbxxxxxbbx. What is prob of picking 3 b? 4/165 What is prob of picking 2 d and 1 p when three letters picked without replacement from pddddddppppddd? 45/91 Four letters picked without replacement from tlslglluuylytuull. Give prob of picking 1 s and 3 u. 1/595 Four letters picked without replacement from wqiiqxqxiq. What is prob of picking 1 w and 3 i? 1/210 What is prob of picking 1 p and 1 z when two letters picked without replacement from {p: 3, x: 5, o: 3, i: 1, z: 3}? 3/35 What is prob of picking 1 l and 1 w when two letters picked without replacement from {l: 1, w: 3, h: 2, m: 10, f: 3}? 1/57 What is prob of picking 2 r when two letters picked without replacement from rhrrrrhr? 15/28 What is prob of picking 2 p when two letters picked without replacement from pupp? 1/2 What is prob of picking 3 a and 1 b when four letters picked without replacement from jabbjbabbbbaab? 32/1001 What is prob of picking 2 i when two letters picked without replacement from eieiiiiieiii? 6/11 Two letters picked without replacement from ulluu. Give prob of picking 2 l. 1/10 Calculate prob of picking 1 l and 3 f when four letters picked without replacement from feeyeeffeefyylwwy. 1/595 Two letters picked without replacement from {c: 3, m: 1, p: 1, e: 3, i: 3, o: 2}. Give prob of picking 1 c and 1 i. 3/26 Four letters picked without replacement from bhbbbhhhhhabbbbhbha. Give prob of picking 1 a and 3 h. 28/969 Three letters picked without replacement from {m: 5, x: 1, b: 2, z: 2, j: 2, e: 5}. Give prob of picking 1 j, 1 z, and 1 b. 1/85 Four letters picked without replacement from mzkmmoymk. What is prob of picking 1 y, 1 z, and 2 k? 1/126 What is prob of picking 1 h, 1 f, and 1 v when three letters picked without replacement from jyfohfohhfvyhyj? 12/455 Three letters picked without replacement from {z: 14, l: 5}. What is prob of picking 2 z and 1 l? 455/969 Calculate prob of picking 1 y and 3 q when four letters picked without replacement from qxeqqqeyq. 5/63 Three letters picked without replacement from {t: 1, e: 3, u: 3, r: 5, d: 4, s: 1}. Give prob of picking 2 d and 1 e. 9/340 Two letters picked without replacement from kkkkkkaaaaaaakkk. What is prob of picking 2 a? 7/40 What is prob of picking 1 c and 1 d when two letters picked without replacement from {d: 2, c: 6}? 3/7 What is prob of picking 2 a when two letters picked without replacement from annaana? 2/7 What is prob of picking 1 z and 1 a when two letters picked without replacement from agwgagsabaaaz? 1/13 Two letters picked without replacement from {f: 5, a: 9}. Give prob of picking 2 f. 10/91 Calculate prob of picking 1 h, 1 l, and 2 n when four letters picked without replacement from {n: 2, u: 4, h: 1, l: 4}. 2/165 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {u: 2, t: 7}. 7/18 What is prob of picking 1 r and 1 x when two letters picked without replacement from birutxbri? 1/18 Calculate prob of picking 1 i, 1 w, and 1 k when three letters picked without replacement from {k: 4, w: 1, i: 1, v: 2}. 1/14 Four letters picked without replacement from {c: 7, h: 4, b: 5, f: 1, j: 1, k: 2}. Give prob of picking 1 k, 1 h, 1 b, and 1 f. 8/969 What is prob of picking 1 n and 1 t when two letters picked without replacement from ttttntwtnntnttqtttw? 16/57 Calculate prob of picking 3 k when three letters picked without replacement from {s: 3, k: 5, h: 1}. 5/42 Calculate prob of picking 1 l, 1 o, and 1 z when three letters picked without replacement from zzxzexlczeoez. 5/286 Four letters picked without replacement from {d: 3, p: 17}. Give prob of picking 4 p. 28/57 What is prob of picking 3 q and 1 u when four letters picked without replacement from ddqddqdduuddqdqd? 2/455 Two letters picked without replacement from {y: 1, a: 1, r: 9, f: 6}. Give prob of picking 1 r and 1 a. 9/136 What is prob of picking 1 t and 1 h when two letters picked without replacement from {o: 7, k: 5, t: 3, h: 1}? 1/40 Four letters picked without replacement from ttxtxx. Give prob of picking 1 t and 3 x. 1/5 Four letters picked without replacement from ddddpddpdd. Give prob of picking 3 d and 1 p. 8/15 Four letters picked without replacement from hfhhfbrbhbbfhbh. What is prob of picking 1 b and 3 h? 20/273 Three letters picked without replacement from zzcdcdczozcccozwwzcz. What is prob of picking 1 o, 1 c, and 1 d? 7/285 What is prob of picking 4 t when four letters picked without replacement from ttscsctts? 1/126 Two letters picked without replacement from blvclboclbbbe. What is prob of picking 1 l and 1 o? 1/26 Two letters picked without replacement from dvysdsdndynnndsynd. What is prob of picking 2 s? 1/51 Two letters picked without replacement from ssyosysy. What is prob of picking 2 y? 3/28 Calculate prob of picking 1 m and 2 j when three letters picked without replacement from {s: 5, m: 1, j: 3, y: 6, l: 4, k: 1}. 1/380 Two letters picked without replacement from vuxuxuvvvuuxu. What is prob of picking 1 x and 1 u? 3/13 Two letters picked without replacement from kxzhkgxhkk. Give prob of picking 1 h and 1 k. 8/45 Three letters picked without replacement from {l: 4, s: 10}. Give prob of picking 1 l and 2 s. 45/91 Four letters picked without replacement from {y: 1, c: 7, k: 2, f: 1, i: 2, r: 1}. What is prob of picking 2 y, 1 f, and 1 i? 0 Two letters picked without replacement from {g: 4, s: 6, a: 1, p: 2, m: 2, o: 4}. Give prob of picking 2 m. 1/171 Calculate prob of picking 1 z and 2 a when three letters picked without replacement from azzzazz. 1/7 What is prob of picking 2 a when two letters picked without replacement from qmuccqaauuqaucu? 1/35 What is prob of picking 1 h, 1 s, and 1 u when three letters picked without replacement from euhkshtt? 1/28 Two letters picked without replacement from {s: 1, z: 1, f: 1, b: 2}. Give prob of picking 1 f and 1 s. 1/10 Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}. 1 Calculate prob of picking 1 l, 1 s, and 2 y when four letters picked without replacement from yslllllllllyssl. 2/91 Two letters picked without
{ "pile_set_name": "DM Mathematics" }
(b) -2/5 (c) 3 (d) 46/27 c Which is the third biggest value? (a) 4252 (b) 25 (c) 2/15 (d) -0.09 (e) -2 c Which is the fourth biggest value? (a) 0.17 (b) 0 (c) -4 (d) 5 (e) -2/1833 (f) -0.4 (g) -3/4 e Which is the second biggest value? (a) -119025 (b) -5 (c) 47 b Which is the smallest value? (a) 9.73 (b) -5513 (c) 2 b What is the second smallest value in -3/8, -0.02, -4, 7.3, 4/29, -4/7? -4/7 What is the fourth smallest value in 0.5, 2/11, 1, -2.1, -263, 15? 0.5 Which is the fifth biggest value? (a) 4 (b) -0.25 (c) -20 (d) 3/185 (e) -1 (f) -2 f Which is the smallest value? (a) -8 (b) 364 (c) -114 (d) 13 (e) 0.3 (f) 1/3 c Which is the fourth biggest value? (a) 24.3 (b) 192 (c) 5 (d) 26 c What is the second smallest value in -2/3, -3, 0, -8/22021? -2/3 Which is the second smallest value? (a) -6.66812 (b) -4 (c) 11 b Which is the sixth biggest value? (a) -1 (b) -114954 (c) -0.2 (d) -3/7 (e) -0.1 (f) -5 b What is the fifth biggest value in 1524, 5, -8, -2, 3, 0.1, -1/4? -1/4 Which is the fifth smallest value? (a) 1 (b) 3/11 (c) 1/443 (d) -5 (e) -1.04 (f) -0.5 b What is the smallest value in -0.4, 72281, 3/8, -0.5, -2, -13/6, -3? -3 What is the third smallest value in -4, -0.3, -0.2, -14, -2, 1.01? -2 Which is the smallest value? (a) 2 (b) 1/5 (c) -2 (d) -80/9 (e) -63 (f) 0 (g) -4 e What is the smallest value in -3, -334202, -15, -1/5? -334202 Which is the seventh smallest value? (a) 3 (b) -2/43 (c) 3/4 (d) -15/79 (e) 2/3 (f) -0.1 (g) 25 g What is the fifth smallest value in 11, 0.5, 1/7, 1209, -1/8? 1209 What is the smallest value in 3/47, 8, 0, -1/9, -2/111? -1/9 What is the second biggest value in 1/48, 0.1386, -1.6? 1/48 What is the second smallest value in 3, -6978, 141, 1/6? 1/6 What is the third biggest value in -0.19, -2/7, 121/3, 81? -0.19 Which is the smallest value? (a) 154 (b) 2159 (c) 11 (d) 0 d What is the smallest value in -5492, 3995, -5? -5492 What is the sixth smallest value in 2, -5, 4, 44, 2/9, -788? 44 What is the third smallest value in 131884, -1/31, -0.22, -3, 5? -1/31 Which is the sixth biggest value? (a) -767 (b) 0.5 (c) 1/5 (d) 96 (e) 0 (f) 2/7 (g) 4 e What is the third biggest value in -0.04, -7389, -38, 0.1, 0.01, -1/4? -0.04 What is the third biggest value in -2/11, -2/9637, -5, 69/29? -2/11 What is the third smallest value in -152, -0.77, 4171? 4171 Which is the fourth biggest value? (a) 2 (b) -11227/6 (c) 3 (d) -3 (e) 0.2 d What is the biggest value in -11/2, 0.3, -2/5, -56, 43, -1/5? 43 Which is the second biggest value? (a) 0.5 (b) -11 (c) 294075 (d) 2/9 a Which is the biggest value? (a) -2/13 (b) -5/7 (c) -2/81243565 c Which is the fifth biggest value? (a) 36 (b) -2 (c) 2/5 (d) 1/4 (e) 2.7 (f) -4.9 (g) 1 d Which is the fourth biggest value? (a) 6.312 (b) 14/39 (c) 5 (d) -2/7 d Which is the smallest value? (a) 1 (b) -5 (c) -36 (d) -0.3 (e) 0.1525 (f) -27 (g) 3 c Which is the second smallest value? (a) -3/8 (b) 2/21 (c) 0.2 (d) 500 b Which is the fifth smallest value? (a) 0.2 (b) -2 (c) 19 (d) 4 (e) -0.3 (f) -0.5 (g) 6/25 g What is the third biggest value in 2/5, 1682232, 5, -2/11? 2/5 What is the third smallest value in 38, 606.364, 1/2? 606.364 Which is the second smallest value? (a) 2/5 (b) 4607/1584 (c) 2 c Which is the second biggest value? (a) 1/2 (b) -3 (c) 103 (d) 0 (e) -12 (f) 3/7 (g) 478 c What is the sixth biggest value in 0.047, -1/12, -2/11, -9, 0.15, -4, 0.2? -4 What is the second biggest value in -2, -0.113689, 45, 4? 4 What is the third biggest value in 293, 0.08, -0.2, -528, 2, 1? 1 What is the third biggest value in 3/4, 4943940, -0.1? -0.1 Which is the biggest value? (a) -1 (b) 0.01419 (c) -6 (d) 7 (e) -3 d What is the second smallest value in -7/15, -23, -6827? -23 Which is the third smallest value? (a) 1/3 (b) 1.1 (c) -1/8 (d) -2 (e) 44 (f) -1/2 (g) -19/5 f Which is the third biggest value? (a) -2/17 (b) -1/4 (c) 44 (d) 24441 (e) 3/7 e What is the fourth biggest value in -2, -541, 44, 4, 55? -2 Which is the biggest value? (a) 1/5 (b) -20 (c) -8163 (d) 1/10 (e) 5 e What is the third smallest value in 1853, 11, -7/110? 1853 Which is the biggest value? (a) -814/13 (b) 2/13 (c) 609/23 c Which is the biggest value? (a) 0.06 (b) -8436 (c) 0.2 (d) 1 (e) -2 d Which is the smallest value? (a) 19 (b) -0.12 (c) 0 (d) 5 (e) 0.6 (f) 11/5 (g) 0.4 b Which is the biggest value? (a) -1/6 (b) 191 (c) -18435 b Which is the biggest value? (a) 368 (b) 85253 (c) -0.3 b Which is the fifth smallest value? (a) 0.907 (b) 0 (c) -1/2 (d) 4 (e) -0.03 (f) -2/5 a What is the biggest value in 3084, 1, -1/2808? 3084 Which is the smallest value? (a) 5 (b) 473 (c) -3.4 (d) 3 (e) -0.01 c What is the fifth smallest value in -0.06, -30, -11165, 2, -2? 2 Which is the fifth smallest value? (a) 1/5 (b) 5 (c) 0.1 (d) 3/16 (e) -0.2 (f) 5/6 (g) 0.14 a What is the biggest value in 0.21, -3/4, 26/11, 0.003, -0.1, -59, -1/7? 26/11 Which is the smallest value? (a) 3/5 (b) -202/87 (c) 17/43 b Which is the seventh smallest value? (a) -0.01 (b) -0.4 (c) 0.04 (d) 553 (e) 1/9 (f) 5 (g) -5 d Which is the second smallest value? (a) -0.129 (b) -9 (c) -4 (d) -44.4 b What is the third biggest value in -755, -0.02, 2659? -755 What is the smallest value in 0, -1, 0.072, 13, -0.3, 0.6? -1 What is the third biggest value in 4, -5, -9560.1? -9560.1 Which is the sixth smallest value? (a) 0.39 (b) 3/4 (c) 1 (d) -3 (e) -6940 (f) -5 (g) 2/3 b What is the fourth biggest value in -4, -5, 0.3, 0, 2/3, -0.2, 0.032618? 0 What is the third smallest value in 1218, -483, 28? 1218 Which is the third biggest value? (a) 2 (b) 0 (c) -13761 (d) 14 (e) 3 a What is the second smallest value in -1/3, -0.4, -0.3, -2/13, 4/5, -4, 1? -0.4 What is the fifth smallest value in 0, 0.1, 1298, -4, 0.5, 8789, 4? 4 What is the second biggest value in 2/13, 10/9, -8175608? 2/13 What is the fifth biggest value in -0.034, -2, 0.4, 2, -0.4, -597? -2 What is the smallest value in 15/1034, 7, -1? -1 What is the second smallest value in -3, -4, 3/5, -70, 303.74, 2/15, 1? -4 Which is the fourth smallest value? (a) 27 (b) -6/17 (c) 2/11 (d) -0.0617 a What is the smallest value in -707, 2/13, 4/717? -707 Which is the fourth biggest value? (a) -0.4 (b) -3 (c) 16 (d) 2 (e) 448 (f) 0.34 f What is the biggest value in 10, 5/33, 5/4, -2, 2/9, 73? 73 What is the fifth smallest value in 2, -1/9, -24.88, 4, -1/8, 2/13? 2 What is the third smallest value in -1, 277/3, -101, 3, 4.1, 1/2, 2? 1/2 Which is the smallest value? (a) -7 (b) 0 (c) -1563815 c Which is the third biggest value? (a) 4 (b) 0.1 (c) 0.4 (d) 57 (e) 3 (f) -147 (g) -2 e Which is the third smallest value? (a) -4 (b) -0.4 (c) 4 (d) 3/2 (e) -359 (f) -0.2 (g) 1/5 b Which is the third smallest value? (a) -36/29 (b) -3/8 (c) -124 (d) 1/5 b What is the third smallest value in -5, 0.2, -0.31, -11985, -6? -5 What is the smallest value in 3, -78, 10, -2/15, -40, 9/2? -78 Which is the second biggest value? (a) -0.07 (b) 3/2 (c) 185 (d) -1/35 (e) -1 b What is the second smallest value in -5, 0.1, -6050/21, -0.1, -8? -8 Which is the fourth biggest value? (a) -2/11 (b) -6 (c) 4 (d) -562 (e) -3/7 (f) -0.5 f What is the third biggest value in 3/14, 442, -1252? -1252 Which is the biggest value? (a) 1.2 (b) 10 (c) 1/2 (d) -0.1032 b Which is the fifth smallest value? (a) 0.33 (b) -2/15 (c) 1 (d) 18 (e) -1 (f) -9/2 c Which is the sixth smallest value? (a) 1 (b) -3 (c) 4/7 (d) -9 (e) 7 (f) 0.1 e Which is the second biggest value? (a) 2/5 (b) 1/47301 (c) -96 b Which is the fifth smallest value? (a) -2556/23 (b) 1/7 (c) 2/3 (d) -1 (e) 8 e Which is the third smallest value? (a) -795/1138 (b) 7 (c) -7 b What is the fourth biggest value in -1/6, -2/19, 4/5, -38887, 5, 1/3, 4? 1/3 What is the fourth biggest value in 4/7, -40/9, 4, 1, -1, -36? -1 Which is the biggest value? (a) 7 (b) -4 (c) -3/7 (d) 0.05 (e) -200 (f) -2/3 (g) -3 a Which is the second smallest value? (a) 1.7 (b) -60 (c) -5 (d) -0.13 (e) -0.4 (f) 0.3 c What is the seventh smallest value in -5, -13, 0.3, -1/3,
{ "pile_set_name": "DM Mathematics" }
v? (a) 0.3 (b) z (c) -0.3 a Let u = -445 + 443. Which is the nearest to 2? (a) u (b) 0.5 (c) 4/9 b Let v be (-8)/7 + (2 - 1). Let p(r) = -37*r + 294. Let f be p(8). Let b = 0.93 - 0.43. What is the nearest to f in b, v, 5/4? v Let w(z) = 3*z - 17. Let p be w(3). Which is the nearest to -0.1? (a) 4/7 (b) p (c) -0.4 c Let h = 6340 + -6343. Let w = 12 + -6. What is the nearest to w in 2/7, 0.1, h? 2/7 Let y = 1.47 - -0.13. Let a = y + -1.5. Let b = -3/103 + 227/721. What is the nearest to b in a, 0, 2? a Let w = 0.07 + -0.01. Let p = -0.06 + w. Let j = 87 - 92. What is the closest to p in 4, j, -3? -3 Let n = -59/4 - -539/36. What is the closest to n in 1/8, -0.3, 0, -3? 1/8 Let r = 372/2167 + 2/197. Let p = -12 - -17. Which is the closest to 1? (a) p (b) 2/3 (c) r b Let o = 50 + -14. Let m = o - 30. What is the nearest to m in 5, 4/7, 2? 5 Let n = -2676.5 - -2677. What is the nearest to n in 0, -0.1, -0.92? 0 Let z = -3.7 - 1.3. Let w = 4.5 + -3. Let f = 1.1 - w. What is the closest to 3/8 in -0.3, z, f? -0.3 Let s(x) = -5*x + 5. Let u be s(5). Let w be 2/4*(-16)/u. Let g = 1031/3 - 344. Which is the closest to w? (a) -3/8 (b) 2 (c) g c Suppose 2*l + 4*r = -0*r, 0 = -l + 3*r. Let x be (4 - 3 - l)/(-10). What is the closest to -2/7 in -0.4, x, 0.1? -0.4 Let f = 13 - 13.1. Let t = -3.7 - -3.4. Let i = t + f. What is the closest to 1 in -4, i, 2/21? 2/21 Let m(v) = -2*v**2 + 4*v - 3. Let n be m(2). Let g = 31 - 21. Let f = g + -14. Which is the nearest to 0? (a) 1 (b) f (c) n a Let v = 551/4 - 137. Which is the closest to 3? (a) -3/4 (b) v (c) -0.4 b Let t = 27 - 32. Let u = -90 + 88. What is the nearest to 1/3 in 7/6, u, t? 7/6 Let k = 1.6 + -2. Let h = 14 - 14.6. Let f = k + h. Which is the closest to 1/3? (a) -4 (b) 0 (c) f b Let p(v) = v**2 + 20*v + 86. Let l be p(-13). What is the nearest to 1/4 in -0.5, 3, l, -3? -0.5 Let l = -6.51 - -6.21. Let v = 27/62 - -2/31. Which is the nearest to v? (a) -0.5 (b) l (c) -0.1 c Let k = 0 + 0.1. Let q = k + 0.4. Let v = 49 + -48.9. Which is the nearest to v? (a) q (b) -0.2 (c) 4 b Let w = 31.9 + -32. Let q = 0.02 + 0.98. Which is the nearest to w? (a) 0.2 (b) q (c) 4/11 a Let g = 1 + 15. Let x be (-2)/(-2 + g/10). Suppose -1 = 6*z - x*z. What is the nearest to z in -1, -1/2, 2/7? -1 Let p = 0.002 - -2.898. Let x = -3 + p. Which is the closest to 0.1? (a) 0.2 (b) 9 (c) x a Let p = -47.7 + 40.7. What is the closest to 0 in 0, p, -0.5? 0 Let r be (0 - -2)/(2*(0 + -1)). What is the closest to 9 in 1/3, -2, r? 1/3 Let x be ((-39)/26)/((-3)/14). Let p be 30/x + 17 + -21. Let y = -2 - -6. Which is the nearest to -0.1? (a) -4 (b) p (c) y b Let h = 463529/1544 - -159/386. Let q = h - 301. What is the nearest to -1 in q, 0.1, -0.3? q Let m = 0.74 + 0.26. Which is the closest to -0.1? (a) -2/7 (b) 1/6 (c) m a Let p = 227.8 + -227. Which is the nearest to p? (a) -0.4 (b) 4 (c) -1/4 c Let y = 8.5 + -7.5. Let q = 0 - 2. Let m = 22/217 - 12/31. What is the closest to y in -3, m, q? m Let r = 0.34 - 0.78. Let a = 0.56 - r. Let q = -7 + 2. What is the nearest to a in q, 4/3, 3/8? 4/3 Let l = 557 - 12809/23. Which is the nearest to 12? (a) 0.2 (b) 4/3 (c) l b Let g = 406 - 407. What is the nearest to g in 3/7, -0.1, 3? -0.1 Let j = 0.041 + -0.117. Let g = j - -0.076. What is the closest to g in -0.4, -2/13, 3? -2/13 Let s = 0.18 - 15.18. Let x = 16.757 + 0.243. Let f = s + x. Which is the closest to -0.01? (a) 2/7 (b) -4 (c) f a Let i = 1.5 - 10.5. Let w = i + 8.9. Suppose 0 = x + 4*g - 19, -5*g + 0*g + 25 = 0. Which is the nearest to x? (a) 4 (b) w (c) -2 b Let i = 1411 - 1411.13. What is the nearest to -1 in 0, -0.1, i, 5? i Let x be (-8)/16*(0 + -2). Let u = 25 + -28. Let a be (u/(-66))/(2/8). What is the nearest to x in 0.3, a, -3/2? 0.3 Suppose 4*w = 5*y - 18, -3*y - 4*w - 10 = -4*y. Let o be (6/y)/(3/(-4)). Let m = -10/3 - o. Which is the nearest to m? (a) -2 (b) -3 (c) 0.5 c Let b = -1/25 - 19/150. Let n = 1 - 3/5. Let i = 31 + -26. What is the closest to -1/2 in n, b, i? b Let f be (-84)/(-22) + 12 + -16. Let s = 0.001 - -9.799. Let i = s + -10. What is the closest to 0 in i, f, 4? f Let x = -4.88 - 0.12. Let r = -1.3552 - -0.4552. What is the closest to -1/2 in 3, x, r? r Let y = 61/3 + -296/15. What is the nearest to -2 in y, 1/3, 4/3? 1/3 Let m be 10/(-6) + 1 + 0. Suppose 24 + 28 = 8*k + 20. What is the nearest to m in 1, k, -3? 1 Let t = 0.09 + -3.09. Let x = -1451 + 76905/53. Let q = -59/159 + x. What is the closest to -3 in q, -0.4, t? t Let s = 35 - 71. Let z = s - -36.1. What is the closest to z in -3/7, 4/5, 5/4? -3/7 Let p = 1768/5 + -354. What is the closest to 1/4 in 5, p, 2? p Let l be (55 + -54)/(1/3 - 0). Which is the nearest to -1? (a) 23/4 (b) l (c) 0.4 c Let t = -1688 - -1685. Which is the closest to 2/7? (a) 4/27 (b) -1/3 (c) t (d) 2/5 d Let u be (-1197)/588 + (-7)/(-4). Let j = -0.06 + -3.94. Which is the nearest to -1? (a) -3/5 (b) u (c) j a Let r = -9 + 8. Let l be (-12)/(-4) - 404/174. Let s = l + -1/87. Which is the nearest to r? (a) -3 (b) s (c) 2/9 c Let y = 0 + -2. Let v be (2/4)/(y/4). Let u(i) = -i**3 - 5*i**2 + 6*i + 4. Let k be u(-6). What is the closest to v in -5, k, -2/13? -2/13 Let p = -211 - -211.3. Let q = 0.2 - 2.2. Which is the closest to q? (a) p (b) 2 (c) 0 c Let z = -0.9 + -9.1. Let r = -10.17 - z. Let p = 1.83 - r. Which is the nearest to -1? (a) -2/13 (b) 0.4 (c) p a Let k be (-2 + (0 - -1))*-1. Let l = -0.36 + 0.86. Let i(m) = 4*m + 6. Let d be i(-2). Which is the nearest to -1? (a) k (b) l (c) d c Suppose -h - 82 = -80. Which is the nearest to 2/7? (a) 4 (b) -3 (c) h c Let h = 550 + -546. What is the nearest to -0.3 in -1, h, 0? 0 Suppose 4*z + 3*v - 57 - 90 = 0, 114 = 3*z + 3*v. Which is the closest to z? (a) -3 (b) 4/7 (c) -0.1 (d) 3/2 d Let p = 0.3438 + -0.2438. Which is the closest to -1/5? (a) 17.4 (b) p (c) 5 b Let c = -582 + 586. Let k be 2 + -3 + -2 + 12. What is the nearest to 0 in c, -1, k? -1 Let m be (-8)/100*5/4. Let o = -6 + 1. Let y = -16 - -7. Which is the nearest to y? (a) m (b) o (c) 0 b Let w = 1/78 - -17/26. Which is the closest to w? (a) -0.5 (b) -4 (c) -3 (d) 1 d Let l = -84 - -85. Let i = -5 - -5. Which is the nearest to -0.07? (a) l (b) 5 (c) i c Let t = -7759/7 - -1111. Let h = t + -3. What is the nearest to h in -4, -1, 0.2? -1 Let h = 1420 - 12784/9. Let c = -14 + 6. What is the closest to 0 in h, c, -1? h Let q = 754 + -758. Let h(w) = -w**3 + w**2 - 2*w + 1. Let m be h(1). Which is the closest to m? (a) q (b) 1 (c) 17 b Let f = 2 + -5. Let d = 1 + f. Let y be (-8)/12*36/16. Which is the closest to -1/3? (a) 3 (b) d (c) y c Let i = 642.1 + -642. Which is the nearest to -0.13? (a) -3/2 (b) 4 (c) i (d) -2/3 c Let g = -5.57 - 0.43. Let a = -6.5 - g. What is the closest to 0 in a, 3/5, -3/2? a Let x = -658/5 - -132. Let f = 13.5 + -13. Let p = f + -0.4. Which is the closest to p? (a) 2/9 (b) 2 (c) x a Let f = -3 - -2.5. Let m = 2565.7 + -2566. What is the nearest to 1 in 0.2, m, f? 0.2 Let b = -724/9 + 3647/45. What is the nearest to 0.4 in 1/14, -1/2, b? b Let u = -20 - -20. Suppose 5*m = -h - 5, -2*m = -2*h + 6*h + 2. Which is the nearest to u? (a) 2 (b) 0.5 (c) h c Suppose -5*m + 3*m + 28 = 5*z, 0 = -5*z + 2*m + 32. Let o be ((-6)/(z + -3))/10. Let n = 0 - 0. Which is the nearest to o? (a) n (b) 0.3 (c) 5 a Let h be ((-3)/2)/((-15)/40). Suppose -h*b = -0*b + 268. Let w = b + 336/5. What is the nearest to 1 in w, 2/3, -0.1? 2/3 Let r = 0.43 - 0.3. Let y = r + -1.13. What is the closest to y in 3/5, 2/13, -0.4? -0.4 Let m = 35 - 45. Let x be (-5)/25*m/3. What is the closest to x in 2/11, 3, -0.4? 2/11 Let n be (0 - -2)/((-15)/5). Let x(w) = -w + 8. Let b be x(6). Let t be (2/4)/(5/b). What is the nearest to 0.1 in -2, n, t? t Let g = -194 + 195.03. Let y = 0.03 - g. Which is the nearest to 3/7? (a) -0.2 (b) 1 (c) y b Suppose 4*i + 51 = -17. Let t = i - -17. Suppose -2*x - y = 3, t*y - y = x. Which is the closest to x? (a) -0.3 (b) 2/7 (c) -5 c Let d = -377.1 + 427. Let n = d + -50. Which is the closest to 0? (a) -0.02 (b) n (c) 0.4 a Let l be 2*(60/8 - 1). Suppose 0 = 3*k - 2*y + l, k + 4*y + 4 = 5*y. Let o be -5*((
{ "pile_set_name": "DM Mathematics" }
is the closest to -0.1 in -10, 3, -13425? 3 Which is the nearest to -169? (a) -28 (b) 411 (c) -3 a What is the closest to 626 in -0.1, -2, 4? 4 What is the nearest to 1 in 15.178, -4/5, -1? -4/5 What is the nearest to 0.1 in 0, -5, 3, -24, -6/13? 0 Which is the closest to -0.1? (a) -0.119 (b) 18 (c) 2 (d) -1 a Which is the nearest to 0? (a) -1/5 (b) 786 (c) -0.3 a What is the closest to 0 in 1/7, -2/17, 0.4, 332? -2/17 Which is the closest to 0? (a) -5 (b) -2.1 (c) 1.5 (d) -4/15 (e) 9 d Which is the nearest to 30/23? (a) 4 (b) -1 (c) 51 b What is the closest to -1/7 in 4, 248, 2? 2 What is the closest to 3 in 4/9, 9, 1/9, -0.1? 4/9 Which is the closest to -0.1? (a) 115 (b) -20 (c) -2/3 (d) 5 (e) -0.2 e Which is the closest to 2? (a) -2/23 (b) 1/4 (c) -4 (d) -5 (e) 11 b What is the closest to 20 in -0.1, -2/5, 1, -35/62? 1 What is the nearest to -1 in 5, 614, -3, 0.06? 0.06 What is the closest to -333.2 in -3/7, 9/4, 2/9? -3/7 Which is the nearest to 1131? (a) -1/4 (b) 2 (c) 0.5 b Which is the closest to 0? (a) -12 (b) -2 (c) -4/7 (d) 6/11 d Which is the nearest to 1/2? (a) -195 (b) 1/3 (c) -2 (d) 458 (e) -0.2 b Which is the nearest to 2? (a) 0.6 (b) 2146 (c) 3 c What is the nearest to 36/11 in -10, 0.4, 3, 0.2, 0? 3 Which is the nearest to -0.2? (a) 6432 (b) 2.3 (c) -1/5 c Which is the nearest to 0.2? (a) -0.3 (b) -4/5 (c) 97 (d) -1/130 (e) 2 d Which is the closest to 2? (a) -0.5 (b) 0.3 (c) 2 (d) 0.0657 c Which is the nearest to 1? (a) -235 (b) 1/8 (c) -1.37 (d) 3 b Which is the closest to -36.195? (a) -5 (b) -2 (c) 0.04 a What is the nearest to -3 in 1862, 1/6, 0.1? 0.1 Which is the nearest to 3? (a) -21/8 (b) 2/1171 (c) -3 b Which is the closest to 1? (a) 0.5 (b) 0.28 (c) -4/51 a Which is the closest to -1/164? (a) 0.42 (b) 1/2 (c) -2.6 a What is the nearest to 1 in 2/155, -0.2, -170? 2/155 Which is the closest to 0? (a) -6 (b) -872 (c) -4 (d) -5 c Which is the nearest to 4/5? (a) 5 (b) 0.05 (c) -5283 b Which is the nearest to 1/7? (a) 0.059 (b) -2/5 (c) -2 (d) -5 (e) 0.2 e What is the closest to -2/7 in 14/29, 7, -112, -1? -1 What is the nearest to 0.05 in 1/5, -3, -1.1? 1/5 Which is the closest to 0.04? (a) 0.18703 (b) 1 (c) -1/4 a Which is the nearest to -1/2? (a) -0.6 (b) 2655 (c) 4 a Which is the nearest to -0.3? (a) 0.3 (b) -1.2 (c) -1/5 (d) 408 (e) 2 c What is the closest to -20 in 7/2, -1.1, -3? -3 What is the closest to 0.05 in -1/47, 0.09, -1.2? 0.09 Which is the closest to 38.3? (a) 5 (b) 0.17 (c) 1/4 (d) -0.1 a Which is the closest to 3? (a) -3/2 (b) 3 (c) -12/11 (d) 2/13 (e) -1 b Which is the nearest to 0? (a) 0.56 (b) -53 (c) -0.5 c Which is the closest to -1? (a) -3/2 (b) -4.931 (c) 0.2 (d) 5 (e) 6 a What is the nearest to -5858 in 4, -2, -2/9? -2 What is the nearest to 2 in 3, 28/3, -47, -1/9? 3 What is the closest to 1/2 in -5, 8/5, 43, 2/3, 1.5? 2/3 Which is the nearest to 0.4? (a) 4 (b) 54 (c) 2/7 (d) 0.5 (e) 0.1 d What is the nearest to 357 in 22, 13, -0.4? 22 What is the nearest to -0.32 in 4, 1/4, -2.7? 1/4 What is the nearest to 0.2 in -3/8, -2/9, 0.05, 5/13, 151? 0.05 Which is the nearest to 38/163? (a) 2 (b) -1 (c) 0.3 c What is the nearest to -2/11 in 75, 23, -3.1, 1/10, -2/9? -2/9 Which is the nearest to 2? (a) 2305 (b) -0.2 (c) 11 (d) -3/4 b Which is the closest to 1? (a) 280 (b) -15 (c) 0.3 c Which is the closest to 9? (a) -0.5 (b) 0 (c) 677 b Which is the closest to 7? (a) 91 (b) 8/5 (c) -5 (d) -0.2 b What is the closest to -1 in -172, -1, -111.5? -1 What is the nearest to -7 in 0.1, -3, 2/9, -7/5? -3 What is the closest to 2 in 2, 1/7, -0.06, 0.2, 4/207? 2 What is the nearest to 30 in -0.3, 10, -0.027? 10 What is the nearest to -1/5 in -4, 20, -0.3, 0.7? -0.3 Which is the closest to 2/15? (a) -4/5 (b) -0.2 (c) 247409 b What is the nearest to -26 in 4, -3/8, -1/3, 0.06, 54? -3/8 Which is the nearest to -19? (a) -63 (b) -50 (c) 0 c What is the closest to 9 in -4, 0.2, 156, 5? 5 Which is the nearest to 1? (a) 2 (b) 5/6 (c) -1.54 b Which is the nearest to -3? (a) -2/5 (b) -1/5 (c) 1/15 (d) -30 a What is the closest to -249 in -202, -0.05, 2, -1? -202 Which is the nearest to 0.05? (a) -5 (b) -0.3 (c) 46644 b Which is the closest to -1146? (a) 4 (b) 11/4 (c) 0.2 (d) 5 c Which is the nearest to 1? (a) 2 (b) 0.2 (c) -6/17 b Which is the nearest to -3/4? (a) 0.23 (b) -1 (c) 9 b What is the nearest to 110 in -1, -2, -25? -1 Which is the closest to -5? (a) 15 (b) -3/4 (c) -4 (d) -2/5 (e) -1/2 c What is the nearest to -2/3 in 4.3, -420, -45? 4.3 Which is the nearest to 0.1? (a) -2/3 (b) 6 (c) 1.06 a Which is the closest to -7/23? (a) -0.3 (b) -0.5 (c) -2/11 (d) 0.08 (e) -0.05 a Which is the closest to -1? (a) 3/7 (b) -0.3 (c) -2/3857 (d) -39 (e) 3 b What is the closest to 0 in 3, 16, 14, -1/2, 9/5? -1/2 What is the closest to -5 in 7, 3/7, 8, 0.3, 2/7? 2/7 Which is the closest to -0.1? (a) -3 (b) -0.09 (c) 1.5 (d) -0.3 b What is the nearest to -3 in 36/17, 0.1, -9? 0.1 Which is the closest to -2/17? (a) -2 (b) 6 (c) -2184 (d) 2 a Which is the nearest to 1? (a) -4/11 (b) -4 (c) 26 (d) -6 (e) 1/2 e What is the nearest to 106.12 in 0.4, 1/5, 1? 1 Which is the closest to 3? (a) 12 (b) 2/13 (c) -0.5 (d) 11 (e) 3 e Which is the nearest to -1/4? (a) -5/3 (b) -6162 (c) 8 a What is the nearest to -10/9 in 4/7, -1/4, -57/2? -1/4 What is the closest to 1 in 1/2, 0.2, -2, -3/1553, -3/5? 1/2 What is the closest to -0.01 in -7, 0.015, -2/7? 0.015 What is the nearest to -1 in 2/79, -38, 5? 2/79 Which is the nearest to -215? (a) -5 (b) 1/24 (c) 1/4 a Which is the nearest to 12? (a) 9.9 (b) -8 (c) 8/3 a Which is the closest to -582? (a) 3 (b) 54 (c) -1/6 c What is the closest to -2/5 in 3, -0.4, 0, -0.1, -0.001? -0.4 Which is the nearest to 0.3? (a) -3 (b) 0.3 (c) -1.9 (d) 2/7 (e) -1/3 b Which is the closest to 0? (a) -1 (b) 10/3 (c) -4 (d) -1/6 (e) -3036 d What is the closest to -0.1 in 30, -4, -22, -2/7? -2/7 Which is the closest to 0? (a) -4/9 (b) -171 (c) -1/2 (d) 1 a Which is the nearest to 176/3? (a) 1/4 (b) 1/5 (c) -249 (d) 1/3 d What is the closest to 3 in -2/7, 3/7, -0.484, 0.4, 26? 3/7 Which is the closest to -0.4? (a) -5 (b) 0.4 (c) 9 (d) -4 (e) 0.1 e What is the closest to 0.1 in -1, 1566/5, 4, -15? -1 What is the nearest to -6 in -86, 0.5, -0.2, -12? -0.2 Which is the nearest to 242? (a) 22 (b) 2/9 (c) 5 a Which is the closest to -0.2? (a) 2/11 (b) -2 (c) 86 a What is the nearest to 0.1 in -1, -4, 11, -0.45? -0.45 Which is the closest to -1/5? (a) 2/13 (b) 2/85 (c) -4 (d) -1/6 d Which is the nearest to 1/2? (a) -196 (b) -3 (c) 1 (d) 4/5 (e) 2.34 d Which is the nearest to -0.3? (a) 0.02 (b) -0.05 (c) -963 b What is the nearest to -519 in -2/179, 0, 1, -2? -2 Which is the nearest to 1? (a) -12 (b) 1904.6 (c) -4 c What is the closest to 0 in -2, 4, 0.266692? 0.266692 Which is the closest to -0.1532? (a) -1/7 (b) -2 (c) -8.5 a What is the nearest to -2 in -4, -1, -279/2, -0.2? -1 What is the nearest to 316 in -1, -0.2, 0.162? 0.162 Which is the nearest to -19? (a) 2 (b) -0.04 (c) 12 (d) 5 b Which is the nearest to 2/7? (a) 1 (b) -2 (c) -5/4 (d) -380 a What is the nearest to -2/7 in 0.1, 1/3, -3640? 0.1 Which is the nearest to -0.06? (a) 0 (b) 0.027 (c) 4 a What is the nearest to 17 in 375, 1, 4/7, -0.2? 1 Which is the closest to -2? (a) -1 (b) -10.07113 (c) -0.3 a What is the closest to -88 in -0.5, -1, 0.1? -1 Which is the nearest to 2/5? (a) -8/9 (b) 33 (c) 4 (d) 3/7 d What is the nearest to 18 in 0.12, -1, 1, 4? 4 Which is the closest to -0.1? (a) -0.05 (b) 0 (c) -1498 (d) 0.03 a Which is the nearest to -2/3? (a) 5/3 (b) -34984 (c) 1 c Which is the closest to 3/4? (a) 0.18 (b) -0.2 (c) 0.1 (d) 3/4 d Which is the nearest to 0.1? (a) 6/43 (b) 0.4 (c) -0.7 a What is the nearest to -28/15 in -86, -2/29, -4? -2/29 Which is the nearest to 0.04? (a) 1/2 (b) 0.057 (c) -0.5 (d) 5 b Which is the closest to 0.39? (a) -40 (b) -13 (c) -1/4 c Which is the closest to -3/8? (a) -2/3 (b) 0.07 (c) 5 (d) 5/2 a What is the nearest to -10 in -1/2, -0.
{ "pile_set_name": "DM Mathematics" }
-27051 in 5/4, 1/10, 1/3, -4? -4 Which is the nearest to -1/4? (a) 4635815 (b) 0.3 (c) -5 b What is the closest to 3/7 in 6, 2/11, 865, -1? 2/11 What is the closest to -2/5 in -35/6, 6.45, -2, 0.071, 3? 0.071 What is the nearest to 8 in 2/3, -2/77, 0.1, 11.1, 5? 5 What is the closest to -1/4 in 2/3, -93/26, 0.05, -0.5, -0.0623? -0.0623 What is the nearest to 62/17 in -4, -30, 8/17, -1/5, -3? 8/17 What is the nearest to 7.8 in 17/3, -0.07, 0.08, -2/3? 17/3 What is the nearest to -2 in -0.4, -1/17, 13, 31/7, 72, 1? -0.4 What is the nearest to -2 in 8/5, -36/5, 4/3, -2.5? -2.5 What is the nearest to -1206 in 1/5, -2/9, -155? -155 What is the closest to -47 in -5, 0.021, -4, 0.3, 347, -2? -5 What is the closest to -4.3 in 139, 4, -55, -0.07? -0.07 Which is the closest to 1.56238? (a) 0.1 (b) -2/5 (c) -5/7 a What is the nearest to -1/16 in 2/9, 0.3, 2, -0.004123? -0.004123 Which is the closest to -1? (a) -3 (b) 0.6 (c) -3/3829 (d) -12/11 d Which is the nearest to -0.1? (a) 436/5 (b) -2 (c) -1074 b Which is the nearest to -0.2? (a) 12 (b) 0.86 (c) 20 b What is the closest to 2 in 286/9, -0.9, -0.4, 3/7, -4? 3/7 Which is the closest to -0.04? (a) -0.1 (b) 2/7 (c) -2303.2 (d) -5 (e) 2/3 a Which is the nearest to -1? (a) 1/49 (b) -2 (c) 0.2 (d) 1 (e) -5 b Which is the nearest to 0.2? (a) -5 (b) 738220/19 (c) -4 c Which is the nearest to -9/5? (a) 2 (b) -1 (c) 431 (d) 11/6 b What is the closest to 2/11 in 1, 0.3, 1/6, 0.22, -642/13? 1/6 What is the closest to -3 in -0.5, 650/7, 1/4, -2.1, 1/6? -2.1 What is the nearest to 0.1202 in 1/11, -0.101, -0.7? 1/11 What is the nearest to -0.2 in 4, 2/11, 2/3991, 23, -16? 2/3991 What is the nearest to 1 in -0.4, 5, -12.6548, 0.02? 0.02 Which is the nearest to 0.19? (a) -1/26 (b) 131 (c) -1 (d) 0 d What is the nearest to -1/4 in 184181, -0.2, -2/3, 2/3, 2/13, 2/17? -0.2 Which is the nearest to 0.03? (a) 0 (b) 4.5 (c) -4 (d) -4/9 a What is the nearest to 4/7 in 394, 0.6, 27/4? 0.6 Which is the nearest to 1.1? (a) -2384 (b) -2/151 (c) 2 c Which is the closest to -18/5? (a) -2 (b) 248 (c) 1 (d) -1/4 (e) -3/8 a What is the closest to -2 in 213, -4, 2/11, -32, -0.5? -0.5 Which is the closest to 0.2? (a) 3 (b) 1 (c) -0.02 (d) -5 (e) 307 c What is the nearest to 0 in -1144/49, -88, -3, -0.5, 4/7, 2? -0.5 Which is the closest to 0.1? (a) 1.07 (b) -5846 (c) 3 (d) 10 (e) 0.1 e Which is the nearest to -1? (a) 4588 (b) 0.24 (c) 34 (d) 0 (e) 1 d Which is the closest to -11? (a) 802/11 (b) 0.2 (c) -2 (d) -4 d What is the nearest to -0.2 in 5, 2, 24, 1/2, -89? 1/2 What is the nearest to -0.6 in 9, 0.02, 1/5, 221, -3/4? -3/4 What is the nearest to -50 in -3/5, 1.187, -6, 0.1? -6 What is the nearest to -3 in -2.7, -42, 23, -149? -2.7 Which is the nearest to 5? (a) 1/32 (b) -2 (c) 6/3389 a What is the closest to -0.04 in -2.39, -2/3, 1/64, -0.3? 1/64 Which is the nearest to -1? (a) 19 (b) -10 (c) -0.5 (d) 0.2 (e) -487 c What is the nearest to 51 in -2, -30.92, -2/7? -2/7 Which is the closest to -29.78? (a) 33 (b) -48/5 (c) 0.2 b Which is the closest to -0.02373? (a) -8/7 (b) -1 (c) 20/3 (d) -0.4 d Which is the closest to 1933694/5? (a) 0 (b) 0.06 (c) -4 b Which is the nearest to -64.02? (a) -3 (b) -2 (c) 3 (d) 188 a Which is the nearest to -59? (a) 8 (b) 98 (c) -125 c What is the nearest to -5/4 in 0.01, -2, 11, 7/4, -68.5? -2 What is the nearest to -495 in 1, 2/7, -1369? 2/7 What is the closest to 1/2 in -1/6, -5476, 0.1, -322? 0.1 What is the closest to -1/4 in 1, -39/2, 0.2, -1, 0.784? 0.2 What is the nearest to -1/3 in -0.1, -35, -29, 79, 1? -0.1 Which is the nearest to 9? (a) 2/15 (b) 301 (c) 115 a Which is the nearest to 898? (a) -4 (b) -0.2 (c) 2/3 (d) 109 d Which is the closest to 0? (a) -1.16 (b) -0.09 (c) 786 b Which is the closest to 0? (a) -457514 (b) 0.007 (c) 2 b Which is the nearest to 1? (a) -21 (b) -14 (c) 0.055 (d) 3 c Which is the closest to -31? (a) 1/5 (b) 0.4 (c) -24 (d) 70 (e) -2 c What is the nearest to 6599592 in 1/4, -4, 3? 3 Which is the nearest to -4/3? (a) 0 (b) -0.5 (c) 36 (d) 1 (e) 0.108 b Which is the closest to 4/7? (a) 54 (b) -4 (c) 1 (d) 1.73 (e) -5 c Which is the closest to -7644.8? (a) -0.4 (b) 5 (c) 1/17 a What is the nearest to -3891 in 0.4, 64, -2/23, -2? -2 What is the nearest to 13 in 110, -1, -2, 5.6? 5.6 Which is the nearest to 1? (a) -38 (b) -0.18 (c) -46133 b What is the nearest to 1 in -3314, -2, -6? -2 Which is the nearest to -7/19? (a) -4 (b) 11 (c) -1/2324 (d) 2 c What is the closest to 142 in 3, 0, 10, 1/3, -4, 81? 81 Which is the closest to 3? (a) -1/6 (b) -0.07 (c) 23/10 (d) 0.08 (e) 2 (f) 2/9 c What is the closest to 2 in -4/11, 0.17, 9, 7/4, -1/2? 7/4 What is the nearest to -2/3105 in -15, 0, -2/13, 0.2? 0 Which is the closest to -182? (a) -47 (b) 1/2 (c) 0.047 a What is the closest to 0.3 in -0.9, 17/9, -55/4? -0.9 What is the nearest to -32 in -2, -584, -4, -0.05? -4 What is the closest to 3 in -3, 2/17, 20, 3, 14/37? 3 Which is the closest to 0? (a) 0.169 (b) 0.017 (c) 736/5 (d) -1/7 (e) -0.2 b What is the closest to -1/3 in 1/3, -419/5, 105.68, 0.4? 1/3 What is the nearest to -0.1 in 0.4, -10, -1, 0.05, 844? 0.05 What is the nearest to 0 in 26, -0.4, -41, 9, 4, 0.58? -0.4 What is the closest to -0.23627 in 1, -0.281, 4? -0.281 What is the closest to 15 in 2958, 8, 0.06? 8 What is the nearest to 0.2226 in -0.2, 3/4, 2, -59, -2? -0.2 What is the nearest to -89 in 1/6, 3/17, 8? 1/6 Which is the closest to 0.1? (a) -3/4 (b) -1.3 (c) 0.3 (d) 213 c Which is the nearest to 1? (a) -4 (b) -1367 (c) 514 a Which is the nearest to 90405? (a) 1/6 (b) 4 (c) -4 (d) 5 (e) -0.05 (f) -3 d What is the closest to -0.1 in -0.4, -220/513, -1, 3/8, 1/3? -0.4 What is the nearest to -0.1 in -3, -556440, -2, -0.3? -0.3 What is the closest to 1 in 188, -1/5048, 2/351, -1/5? 2/351 What is the nearest to -10 in -2/7, 5/24, -0.064? -2/7 Which is the closest to 0.15? (a) 0 (b) -0.4 (c) -1.5 (d) -1/4 (e) 60/17 (f) -1/6 a What is the nearest to -2/17 in 1/130, -4, 2/9, -0.5, 4/9, -5? 1/130 Which is the nearest to -0.2? (a) -4 (b) -210.2 (c) -2/11 (d) 1 (e) -0.5 (f) 0.18 c What is the nearest to 0 in -1787, -2/11, -99/5, 0, 5? 0 Which is the closest to -45.2? (a) 1/6 (b) -4/9 (c) -94 (d) -5 d Which is the nearest to 1.7? (a) -1 (b) -2/7573 (c) -4 b What is the closest to 0.3 in 1, 4864, -5/22? -5/22 What is the nearest to 0 in -4/10733, -3, -2/3, 2, -1/6, -5/2? -4/10733 Which is the closest to 1/4? (a) -5531/8 (b) 82 (c) -0.1 c Which is the closest to -732? (a) 0.12 (b) 0.3 (c) 0.245 a What is the nearest to -6/31 in 6/1519, -1/3, -5, -9? -1/3 Which is the nearest to 0.843? (a) 3 (b) -78/1999 (c) 0.3 c What is the nearest to 8 in 3, -393, -26/7, -0.2, -2/3, 4? 4 What is the nearest to 2 in -0.29, -3, -0.5, 930? -0.29 Which is the closest to 18? (a) -1 (b) 14.1 (c) -3 (d) 1.4 b What is the nearest to -0.2 in 0.041, -8/57, 38? -8/57 Which is the nearest to 0.3? (a) 2 (b) 3/7 (c) 1.46 (d) 29 (e) 0.5 b What is the closest to 0.1 in -1, 5.5, -5/11, 3, 1? -5/11 Which is the nearest to 220? (a) -1/2 (b) -0.006 (c) -4 (d) 0.3 (e) -1 d Which is the nearest to 0.4? (a) 1 (b) -30 (c) -4234.1 a Which is the nearest to 1? (a) 25 (b) 4 (c) -374 (d) 3.1 (e) -0.08 e Which is the closest to 1/3? (a) -2/11 (b) -88.2 (c) 121 (d) -0.2 (e) -4 a What is the nearest to -0.27 in -0.324, -1/5, 5, -20, -5, -1/3? -0.324 What is the closest to 18 in 3/4, -4, 74/25, -1, -5/3? 74/25 What is the closest to 3 in -14087, 3/2, -3, -3/5? 3/2 Which is the closest to 2? (a) -8 (b) 0.016 (c) -457 (d) -2/29 b Which is the closest to 0.2? (a) -2/5 (b) 1/8 (c) 1 (d) 1/29 (e) -129229 b Which is the closest to 0.03? (a) 5 (b) 9/7 (c) -2 (d) -3 (e) 5/24 (f) 10 e Which is the nearest to -3/14? (a) 1 (b) 2/19 (c) 2.2553 b What is the nearest to -1/3 in -46, 382, 5, -0.5, 4, 3? -0.5 What is the closest to 9713 in 4, 1/4, 1? 4 What is the closest to 11 in -1.9, 1/3, -1, 17? 17 What is the nearest to 0 in -2/5, -0.05, 1.96, -6/11? -0.05 What is the nearest to 2 in 65/9, -3.4, 0.1, 542? 0.1 Which is the closest to -1? (a
{ "pile_set_name": "DM Mathematics" }
4801 times 531? 5033.9331 Product of -3 and 4520182. -13560546 Product of -66 and 16.2638. -1073.4108 -4 times -146517.2 586068.8 -0.4 times -15094237 6037694.8 What is 5412 times -17.9? -96874.8 What is -18609.6464 times -5? 93048.232 Calculate -0.024*-66.33162. 1.59195888 What is the product of -5 and 23161410? -115807050 What is 1239.095 times 2? 2478.19 Multiply -91.63 and 650.3. -59586.989 What is 76118227 times -0.5? -38059113.5 What is the product of 106906 and -204? -21808824 27938 * -2.434 -68001.092 What is the product of -6472667 and 0.5? -3236333.5 Calculate -0.1*7747762. -774776.2 Multiply 0.03 and 9364.72. 280.9416 Work out -1.1 * -1.69208. 1.861288 -937*18108 -16967196 -36.09 * -24596 887669.64 0 * -60469056 0 What is the product of -19766 and -0.4111? 8125.8026 0.2*2.05034807 0.410069614 -0.7 * 4400308 -3080215.6 Calculate 1466.7*-4001. -5868266.7 Multiply -0.605 and -7453. 4509.065 What is the product of -40.6235 and 0.289? -11.7401915 7194*0.2259 1625.1246 Calculate -134*-1737697. 232851398 Work out -3459867 * -140. 484381380 Work out 20 * 842623. 16852460 Calculate 0.128559*-132. -16.969788 18051.2201*0.2 3610.24402 What is the product of -320 and 114031? -36489920 What is -5 times -5.360057? 26.800285 1420813 times -0.1 -142081.3 What is -4 times 357505.9? -1430023.6 -1761901.69*-4 7047606.76 -0.23819536*0.02 -0.0047639072 1.588 * -160.24 -254.46112 What is the product of -0.37 and 10358814? -3832761.18 Product of -2529.2 and 0.1218. -308.05656 What is the product of 10199 and 1238? 12626362 -0.3 * 5119910 -1535973 What is 0.0898 times 154389? 13864.1322 What is the product of -781.1046 and -5? 3905.523 What is 118 times -109950? -12974100 -5325629 * -7 37279403 -1908*0.0065 -12.402 Product of -0.484 and -954.5. 461.978 -1.06075 * 21 -22.27575 -70011487 * 5 -350057435 Work out 7174.3 * 5.7. 40893.51 0.4 * -392482.56 -156993.024 3 * -346.861598 -1040.584794 Calculate 14469*97.11. 1405084.59 -0.7*-882.6401 617.84807 97*0.309349 30.006853 0.4 times -12028332 -4811332.8 What is the product of -28.2382 and -1.555? 43.910401 -40 * -88616 3544640 0.1 times 16731602 1673160.2 What is the product of 360.024 and 894? 321861.456 What is the product of 739 and -0.44672? -330.12608 Multiply -0.3 and -6094636. 1828390.8 Product of -5 and -0.6379888. 3.189944 What is the product of 0.0176867 and 1.13? 0.019985971 What is the product of 543.96 and -4664? -2537029.44 Calculate 11*-2941.63. -32357.93 -15.419 times -11.4 175.7766 -0.37717*-27513 10377.07821 Calculate 17*3772176. 64126992 Multiply -0.1 and -224321. 22432.1 What is 698431 times 10? 6984310 Multiply -747 and -2685. 2005695 Work out 0.2 * 1155826.8. 231165.36 3393 * 3982 13510926 Product of 13 and -1807737. -23500581 35763*-0.1 -3576.3 What is the product of -16 and 199273? -3188368 Multiply 58 and -24522. -1422276 Product of -1.502 and -13.6. 20.4272 Product of -61752143 and 4. -247008572 Product of -0.03152057 and 0.5. -0.015760285 -12163849 times -0.2 2432769.8 What is the product of 1028.2144 and -0.7? -719.75008 5902698*0.2 1180539.6 What is 3978.8 times -0.0718? -285.67784 7 * 125916 881412 Work out -11197.21 * -4.9. 54866.329 Multiply 0.2 and 24.2203746. 4.84407492 Product of -652476 and 32.9. -21466460.4 -9005.5 times -1548 13940514 Work out -5 * 17631036. -88155180 -389.03*-11506 4476179.18 Product of 0.4469 and -2.016. -0.9009504 What is the product of -115 and 12298? -1414270 0.4 * -23.7763 -9.51052 Work out 754 * 49919. 37638926 1593068*13 20709884 Work out -0.417 * 337683. -140813.811 Product of -6185747 and -7. 43300229 Product of 0.047 and -8700425. -408919.975 Product of 69.868 and 0.637. 44.505916 Calculate 2*-2388347. -4776694 What is 0.4 times -22760.27? -9104.108 Calculate -175.47*-1878.8. 329673.036 Work out -81 * -1.86767. 151.28127 Calculate -1.3461*-4739. 6379.1679 0.025 times -20.9047 -0.5226175 Multiply -0.3407 and 0.08163. -0.027811341 -1525 times -10121 15434525 What is -12194.3 times -46? 560937.8 Multiply 1067762 and 0.14. 149486.68 Calculate -5*13583.31. -67916.55 0.4*-1.901358 -0.7605432 Multiply 0.2 and -183379870. -36675974 What is the product of -8.683 and 29.12? -252.84896 Product of -7774.11 and 6. -46644.66 0.05585385 * 0.14 0.007819539 Product of 5.8 and 1349107. 7824820.6 Work out 11786037 * -2. -23572074 Product of 0.5 and -1433.83785. -716.918925 Calculate -2671*-4.6814. 12504.0194 Product of -88 and 233631. -20559528 Work out -0.01 * -5334289. 53342.89 What is the product of -0.1 and -122.475991? 12.2475991 -0.043339278*-2 0.086678556 What is the product of 0.06695828 and 2? 0.13391656 0.2057 * 242.18 49.816426 -47940 times 33 -1582020 Work out -57173903 * 5. -285869515 What is 432342 times -139? -60095538 -137012 * -0.093 12742.116 -0.2236379 times -0.086 0.0192328594 -0.37247768 times 2 -0.74495536 -19040304.4 times -5 95201522 -0.3 * 84786.8 -25436.04 What is -743 times -27371? 20336653 Work out 0.48 * 1814979. 871189.92 Calculate 4.4*11299.94. 49719.736 Multiply 0.2 and 38301483. 7660296.6 What is 828979 times -0.46? -381330.34 Work out 88 * -1390858. -122395504 -771072*14 -10795008 Work out 20.9 * 0.540976. 11.3063984 What is the product of 9.7 and 273650? 2654405 29141 * -437 -12734617 Product of 0.4 and 2485928. 994371.2 What is the product of 0.5 and -141153262? -70576631 What is 14.269 times -6.48? -92.46312 -1420030 * -57 80941710 8484.77*62.2 527752.694 Work out -60 * -65706.9. 3942414 Calculate -7*10.690846. -74.835922 19614788 times -9 -176533092 Work out 4035720 * 0.062. 250214.64 Work out -1.77 * 12155. -21514.35 What is -0.3 times -1756472? 526941.6 Multiply -5 and 229.9688. -1149.844 Multiply 106.202 and 1191. 126486.582 Work out 297455.53 * -4. -1189822.12 Calculate -11*0.0588989. -0.6478879 Multiply -46.96 and -4.371. 205.26216 0.4*-329.4613 -131.78452 Product of -0.3 and 1584314. -475294.2 -58007097*2 -116014194 7688979 times -5 -38444895 41.72 times -1147 -47852.84 2311 * -4.925 -11381.675 Product of 68.62 and -0.9512. -65.271344 What is the product of 0.57 and 33153? 18897.21 Multiply 3 and -0.3043123. -0.9129369 Calculate -2025651*0.05. -101282.55 What is 2 times -6846370? -13692740 4 times 0.0574458 0.2297832 Work out 0.186 * -173441. -32260.026 What is the product of 5 and 933837.9? 4669189.5 Product of -2.11612842 and 0.3. -0.634838526 -22545*-701 15804045 Work out 854581.08 * -0.1. -85458.108 -0.4*3165880.1 -1266352.04 Calculate -67.48063*0.4. -26.992252 Calculate -0.3*159346458. -47803937.4 Work out 0.5 * 891.1548. 445.5774 What is the product of -240 and -1.23931? 297.4344 -0.2*-22.65121 4.530242 What is 1.64297 times -0.1803? -0.296227491 Multiply 1 and -254794881. -254794881 Product of -5 and 78400668. -392003340 What is -7 times -14.013255? 98.092785 Calculate -90.7*196866. -17855746.2 Product of -155143.6 and -107. 16600365.2 -4.7*-0.166382 0.7819954 493*-3856 -1901008 Multiply -0.3 and 180126809. -54038042.7 Work out 17363.45097 * -2. -34726.90194 Multiply 1.2157 and 6973. 8477.0761 Product of 29.57 and -0.01297. -0.3835229 Work out -0.611 * 0.09576. -0.05850936 Product of 23 and 1808247. 41589681 Multiply -15065140 and -3. 45195420 -0.3 times 627961.06 -188388.318 What is 16271 times 1.1928? 19408.0488 Multiply -0.1 and 405432437. -40543243.7 What is the product of -2.294925 and 9? -20.654325 What is 1698 times -42882? -72813636 -9644*-7254 69957576 0.4*-126432 -50572.8 -218413 times 2.574 -562195.062 -3.932 * 152.388 -599.189616 Product of -3128267 and -0.5. 1564133.5 Calculate 0.419*1999.1. 837.6229 0.154 times -755977 -116420.458 Product of -9 and -0.1100527. 0.9904743 Multiply 72374 and -3.635. -263079.49 What is 4 times -158972? -635888 -19*2511911 -47726309 Calculate -0.055*-3075. 169.125 What is 421733 times -0.093? -39221.169 4759480.6 times -7 -33316364.2 Multiply -170304163 and -0.4. 68121665.2 Multiply -55404 and 0.067. -3712.068 Work out 296 * -1089930. -322619280 Multiply -0.014 and 8730.4. -122.2256 1426139*2.4 3422733.6 Work out -0.6524932 * 0.4. -0.26099728 8.8372 * 7 61.8604 What is the product of 0 and 424253.7? 0 Calculate 1.299*-1.634. -2.122566 What is 30.7 times 13575.67? 416773.069 0.2*2060659 412131.8 What is -27183 times 409? -11117847 What is the product of 0.1 and 168564.
{ "pile_set_name": "DM Mathematics" }
). Suppose -8*o - c = -4*o. What is the units digit of (o/2)/(3/(-15))? 5 What is the hundreds digit of 11*1*(-115994)/(-1298)? 9 Suppose 4*o = 3*o + 8. Let b = o + -4. Suppose -b*d + 29 + 91 = 0. What is the units digit of d? 0 Let n be (-35)/3 - (-9)/(-27). Let m be (-3)/n + (-60)/(-16). Suppose -5*o + 45 = 4*q, -o + m*q = q + 10. What is the units digit of o? 5 What is the tens digit of 172868/64 - (-34)/(-544)? 0 Suppose 23*b - 27851 - 5660 = 0. What is the thousands digit of b? 1 Let x(u) = -82*u - 15. What is the tens digit of x(-3)? 3 Suppose 0 = s + 1 + 4, 4*b - 4*s = 1924. What is the units digit of b? 6 Suppose 3*u - n = 4, -20 = -4*u - 3*n + 7. Let x = u - -1. What is the tens digit of 36 - ((-5 - -3) + x)? 3 Let q = -65 + 37. What is the units digit of (-1 + 4)*(-1 - 2 - q)? 5 Suppose -23*i + 8*i = -6735. What is the hundreds digit of i? 4 Suppose 27*u - 30*u = -3. Let n(y) = 62*y**3 + 2*y**2 - 2*y + 1. What is the tens digit of n(u)? 6 Suppose 3 = -4*y + 3*g + 2, 0 = -y + g - 1. Suppose -5*d = -3*o + 26, 0*o + 4*o = -y*d. What is the tens digit of 37 + (o - (-16)/(-4))? 3 What is the units digit of (-6)/(-10) - 1722/(-205)? 9 Let k(y) = 8*y**3 - y**2 - 4*y + 3. Let l be (-8)/(2 - 4) + -2. Let b be k(l). Let r = b - 31. What is the tens digit of r? 2 Let i = 119 - 120. Let l(a) = -28*a - 4. What is the units digit of l(i)? 4 Let v(y) = -y**3 + 6*y**2 + y + 1. Let g be v(5). Suppose -35 = -2*n + g. What is the tens digit of n? 3 Suppose 0 = -l + 2 - 1. Suppose 2*k + l = 3. What is the tens digit of -2 + k - (-31 - -3)? 2 Suppose 5*c + 11 + 34 = 0. Let y(p) be the third derivative of -p**5/60 - 5*p**4/12 + p**3/3 - 4*p**2. What is the tens digit of y(c)? 1 Suppose -2*o = 14 + 4. Let x(q) be the second derivative of -q**5/20 - 2*q**4/3 + q**3 - 3*q**2/2 + 2*q. What is the units digit of x(o)? 4 Let v(y) = -y**2 + 4*y + 2. Let o be v(3). Let t = -5 - -9. Suppose 0 = -o*j - t*f + 126, 2*j - j - 4*f = 6. What is the tens digit of j? 2 Let a = 1000 - 677. What is the tens digit of a? 2 Let d = -2506 - -4077. What is the hundreds digit of d? 5 Let m = 39 + -63. Suppose 46 = -2*p + 2*q, 3*p - 4*q - 1 = -74. Let j = p - m. What is the units digit of j? 5 Let p(w) = -w**2 + 9*w - 11. Let z be p(8). Suppose -4*s + s = 18. Let r = z - s. What is the units digit of r? 3 Suppose -k = -53 + 66. What is the tens digit of (1 - k) + (-6 - -4)? 1 Let j(w) = 24*w + 219. What is the hundreds digit of j(47)? 3 What is the hundreds digit of ((-4970)/175)/((-2)/320)? 5 Let x(a) = 2*a**2 - 6*a - 10. Let b(j) = j**2 - j. Let y(n) = 5*b(n) - x(n). What is the units digit of y(3)? 0 Let j = 70 + -50. What is the tens digit of (-2)/(-20)*-6 - (-492)/j? 2 Let a(w) = 60*w**2 - 25*w - 3. What is the hundreds digit of a(-2)? 2 Suppose 265 = 11*m - 6*m. What is the units digit of m? 3 Let m(r) = 35*r - 4. Let l be m(10). Suppose 5*q - l = 299. What is the hundreds digit of q? 1 Let w be (22/(-4) + -1)*2. Let d = -11 - w. Suppose 143 = 4*a + 2*r + 37, d*r = -3*a + 78. What is the units digit of a? 8 Suppose -6*g + 26 = -166. Suppose 1062 = 10*u + g. What is the units digit of u? 3 Suppose 0 = -2*a + k + 5395, -6*a + 3*a - 5*k + 8086 = 0. What is the units digit of a? 7 Let y(v) = 294*v - 235. What is the hundreds digit of y(5)? 2 Suppose -5*j + 3 = -27. Suppose -j*i + 94 + 104 = 0. What is the tens digit of i? 3 Let a(d) = 4*d**2 + 16*d + 342. What is the hundreds digit of a(-13)? 8 Suppose -7*w + 1365 + 196 = 0. Let m = -105 + w. What is the units digit of m? 8 Let d = 3447 + -677. What is the hundreds digit of d? 7 Let v(u) = -u**3 - 23*u**2 + 2*u + 16. Let r be v(-23). Let j = 370 - 120. What is the tens digit of (j/r)/((-2)/6)? 2 Suppose 2*p - 6*w = -11*w + 731, -5*w = 3*p - 1104. Suppose 3*u - 962 + p = 4*s, 3*u + 4*s = 605. What is the hundreds digit of u? 1 Let r(w) = -w**3 + 8*w**2 - 4*w - 8. Suppose 0*u + 88 = 2*u. Suppose 0 = 2*b - 4*f + 4, -u = -0*b - 4*b - 5*f. What is the units digit of r(b)? 0 Let b = 1 - -23. Let g(a) = 11*a - 6. Let p be g(6). Let r = p - b. What is the units digit of r? 6 Suppose 0 = 4*f + 16*f - 980. What is the units digit of f? 9 Suppose -7*r + 2*r - 2*g + 47 = 0, -4*g - 49 = -3*r. Let o be (r/22)/(2/116). Let a = o + -4. What is the tens digit of a? 2 Suppose 0 = 8*p - 7158 + 1710. What is the tens digit of p? 8 Let u = 47 + -291. Let d be u/(-8)*(-1 + 3). Let m = d + -36. What is the tens digit of m? 2 Suppose 3*h = -2*h + 135. Suppose -d + 36 + h = -5*k, -71 = -d + k. What is the tens digit of d? 7 Let a(q) = -23*q + 2. Suppose 0 = -i - 13 - 23. Let g be (2/8)/(9/i). What is the tens digit of a(g)? 2 Let s(h) be the second derivative of 3*h**4/4 - h**3/3 + 3*h**2 - 8*h. What is the tens digit of s(4)? 4 Let f = -36 - -43. Suppose -f*q + 1235 - 24 = 0. What is the tens digit of q? 7 Suppose 0 = 4*x - 718 + 146. Let y = x - 88. What is the tens digit of y? 5 Let k be -4 - (-28 - (3 + 0)). Let f = -3 + k. What is the tens digit of f? 2 Suppose -5*k = v - 3018, 3*k - 14670 - 508 = -5*v. What is the units digit of v? 8 Let w(j) = 5*j + 10. Let t(d) = -11*d - 19. Let g(x) = -3*t(x) - 5*w(x). Let m(q) = 8*q + 6. Let b(i) = 4*g(i) - 5*m(i). What is the units digit of b(-1)? 6 Suppose j + 122 = 340. What is the units digit of j? 8 Let c(w) = -57*w + 2 - 5 + 4. What is the tens digit of c(-1)? 5 Suppose 3*g - 4*p = 4163, 2*p - 2016 = -3*g + 2135. What is the tens digit of g? 8 What is the hundreds digit of ((-35)/5 + 5)/((-3)/1758)? 1 Let m(i) = -i**2 - 14*i + 16. Let r be m(-19). What is the units digit of -6 - (-4 + 1) - r? 6 Let r(q) = q - 94. Let s be r(0). Suppose 5*a + 1096 = 13*a. Let x = s + a. What is the tens digit of x? 4 Suppose -32*k - 3971 = -3*u - 28*k, -4*k - 2650 = -2*u. What is the units digit of u? 1 Suppose 9*x - 12072 = -354. What is the units digit of x? 2 Let g(h) = -h**3 - 7*h**2 - 6*h + 3. Let a be g(-6). Suppose a*j - 2*j = 77. What is the units digit of j? 7 What is the tens digit of (60/16 - 3)/((-3)/(-804))? 0 Let v(q) = 11*q - 15. Let w(g) = -17*g + 22. Let u(r) = -7*v(r) - 5*w(r). Let z be u(3). Let c = z - -1. What is the tens digit of c? 2 Suppose -4*f = 2*i - f - 176, 4*i - 354 = -5*f. Suppose i + 109 = 5*v. What is the units digit of v? 0 Suppose -4*m + 96 = -2*a, 2*a + 201 = -3*a - 3*m. Let n be (-15)/(-5) + -4*16. Let y = a - n. What is the tens digit of y? 1 Suppose 4*p - 5 = -3*q, -13 = -4*p + q + 4*q. Let y be p/4*-22*8. Let m = -60 - y. What is the units digit of m? 8 Suppose -2*r - 42 = 5*r. What is the units digit of r/(-39) - 3175/(-65)? 9 Let m(b) = 2*b**2 + b. Let h be m(-2). Suppose -h*p = -4*t - 2*p + 412, -4 = 4*p. What is the tens digit of t? 0 Let j(p) = p - 13. Let u be j(10). Let k be u*(-4)/(-36)*-12. Suppose g + k = 45. What is the units digit of g? 1 Let f be ((-17)/2)/(2/(-4)). Let b = -12 + f. Let u = 12 + b. What is the tens digit of u? 1 Let z = 613 - 400. What is the hundreds digit of z? 2 Let f be 3 + (-1 + 3 - 1). Suppose -6 = -y - 3*g, 2*y - f*g - 21 = 1. Suppose -40 = 7*x - y*x. What is the units digit of x? 0 Suppose 0 = 10*f + 9*f - 9500. What is the tens digit of f? 0 Suppose 4*u + 2*u = 294. Let d = u + -24. What is the units digit of d? 5 Let d = -159 + 165. What is the units digit of d? 6 Let p(b) = b**3 + 9*b**2 + 3*b + 2. Suppose 39 - 24 = -5*x. Let u = -11 - x. What is the units digit of p(u)? 2 Let f(s) = 28*s**2 + s - 1. Let q = 10 - 9. What is the units digit of f(q)? 8 Suppose 84 = -3*u + 7*u. Let m = u + -23. What is the units digit of 24 + (-2 + m)/4? 3 Let t = 865 - 515. What is the tens digit of t? 5 Suppose 2*d + 12 = -12. What is the units digit of (34/d)/(4/(-64))*3? 6 Suppose -4*z - 864 = -b - 3171, 3*z + b = 1739. What is the hundreds digit of z? 5 Let x be (3/(-6))/(3/(-468)). Suppose 0 = -v + x + 210. Suppose 5*i - 2*u = 199 + 161, -4*u = -4*i + v. What is the tens digit of i? 7 Let z = 339 + 4039. What is the tens digit of z? 7 Suppose 0 = 8*b - 280 - 1512. Let g = b - 70. What is the hundreds digit of g? 1 Let y(q) = -1749*q**3 - q**2 - 3*q. What is the hundreds digit of y(-1)? 7 Let t(k) = k**2 - 16*k + 3. Let u be t(-6). Let b = u - 63. What is the units digit of b? 2 Let t(s) = -s**3 - 7*s**2 - 9*s - 7. Let b be t(-6). Let w be b + (-1)/2*2
{ "pile_set_name": "DM Mathematics" }
30 - 10 for t. 5 Solve 0 = -g - 96 + 100 for g. 4 Solve 8*j + 24 = 2*j for j. -4 Solve -30 = 7*o - 16 for o. -2 Solve -10*f = -14*f + 20 for f. 5 Solve 21*y + 80 = y for y. -4 Solve 49*d + 61 - 12 = 0 for d. -1 Solve -54*v = -47*v - 28 for v. 4 Solve -28 = 2*x - 18 for x. -5 Solve 30*k - 112 - 8 = 0 for k. 4 Solve 0 = -18*k - 3*k + 63 for k. 3 Solve 45 = 9*y + 18 for y. 3 Solve 50*d = 75*d - 100 for d. 4 Solve 15*m - 9*m = 6 for m. 1 Solve -s + 13 = 15 for s. -2 Solve -6 + 12 = -2*n for n. -3 Solve 11*h = 8*h + 15 for h. 5 Solve 0 = -58*k + 59*k + 2 for k. -2 Solve -u = 5 - 7 for u. 2 Solve 24*j = 32*j - 40 for j. 5 Solve -39*t + 45*t = 0 for t. 0 Solve 0 = -23*z + 22*z + 5 for z. 5 Solve -42 = -479*h + 465*h for h. 3 Solve -2*n + 3 = -n for n. 3 Solve v - 69 = -65 for v. 4 Solve 2*q - 9 = -3 for q. 3 Solve 0 = -12*g + 856 - 868 for g. -1 Solve 128*i - 134*i - 18 = 0 for i. -3 Solve 63*h - 8 = 67*h for h. -2 Solve -6*d + 12 = -12 for d. 4 Solve 179*q + 488 + 944 = 0 for q. -8 Solve 3*j - 4 - 11 = 0 for j. 5 Solve -41*z - 39 = -2*z for z. -1 Solve 0*s = -3*s - 15 for s. -5 Solve -20*p = -12*p - 40 for p. 5 Solve 3*o + 35 = 29 for o. -2 Solve 94 = 6*u + 100 for u. -1 Solve -88*d - 150 = -58*d for d. -5 Solve -30*r - 36 = -12*r for r. -2 Solve 426*k = 422*k + 4 for k. 1 Solve 8*f = 5*f - 6 for f. -2 Solve -5*s + 63 - 98 = 0 for s. -7 Solve 19*g + 21*g = -160 for g. -4 Solve 79*i - 6 - 389 = 0 for i. 5 Solve 1 + 2 = f for f. 3 Solve 14*w = 11*w for w. 0 Solve 7*d + 41*d = -144 for d. -3 Solve -18*k = -17*k - 5 for k. 5 Solve 0 = 32*q + 43 - 235 for q. 6 Solve 205*g = 142*g + 63 for g. 1 Solve 176*u = 175*u - 1 for u. -1 Solve 6*x = 22*x + 16 for x. -1 Solve 15*s = 6*s + 27 for s. 3 Solve -2*g + 16 = -6*g for g. -4 Solve 553*u + 40 = 533*u for u. -2 Solve 20*g = 9*g + 11 for g. 1 Solve 4 = -2*q - 0*q for q. -2 Solve -147*k + 141*k = -48 for k. 8 Solve -18 = -15*f + 9*f for f. 3 Solve 0 = -19*m + 17 + 59 for m. 4 Solve 23*n + 63 = -6 for n. -3 Solve 99 = -59*d - 78 for d. -3 Solve s - 1224 = -1215 for s. 9 Solve -6*k - 19 = -1 for k. -3 Solve 0 = -8*g + 125 - 85 for g. 5 Solve 51 = -66*z - 15 for z. -1 Solve -40*g + 6 = -37*g for g. 2 Solve 228 = 8*f + 292 for f. -8 Solve -17*c = -27*c + 30 for c. 3 Solve 11*x - 58 = -91 for x. -3 Solve 3 + 36 = 13*v for v. 3 Solve 112 = 2*m - 18*m for m. -7 Solve 42*a + 136 - 346 = 0 for a. 5 Solve -28 = 9*p + 5*p for p. -2 Solve 9*d - 27 = -0*d for d. 3 Solve 12*a - 7*a + 10 = 0 for a. -2 Solve 9*l - 12*l = -3 for l. 1 Solve -4*i + 26 = 6 for i. 5 Solve 38*u + 107 + 45 = 0 for u. -4 Solve 1 = -21*k + 85 for k. 4 Solve -4*s + 75 = 115 for s. -10 Solve -84*r + 87*r + 6 = 0 for r. -2 Solve 0 = -6*b - 243 + 273 for b. 5 Solve 3*l + 3*l = 5*l for l. 0 Solve -21*b + 33*b - 72 = 0 for b. 6 Solve -28*u - 32 = -36*u for u. 4 Solve 0 = -7*l - 14 + 35 for l. 3 Solve -85*a + 118*a - 231 = 0 for a. 7 Solve -6*i - 692 + 668 = 0 for i. -4 Solve -f = -3*f - 4*f for f. 0 Solve -6 = 2*h - 2 for h. -2 Solve 62*b - 84 = 83*b for b. -4 Solve 56*j = 63*j - 28 for j. 4 Solve -4*q + 2 = -18 for q. 5 Solve 32*b = 252 - 60 for b. 6 Solve -545*l + 560*l - 15 = 0 for l. 1 Solve -10*f + 410 = 72*f for f. 5 Solve -62 = -12*s - 14 for s. 4 Solve 3*k = -4*k + 21 for k. 3 Solve 93*o - 30 = 123*o for o. -1 Solve 4*k + 27 = 13*k for k. 3 Solve -5*w - 7 = -22 for w. 3 Solve 0 = -2*g - 8*g - 40 for g. -4 Solve -118*d + 45 = -127*d for d. -5 Solve 592 = -12*f + 496 for f. -8 Solve -31*n - 25*n + 112 = 0 for n. 2 Solve -9*r = -8*r - 3*r for r. 0 Solve 405*x = 325*x + 800 for x. 10 Solve 4085 - 4075 = 5*o for o. 2 Solve 29 = -2*k + 29 for k. 0 Solve -117*g = -128*g + 110 for g. 10 Solve 17*i - 16 = 13*i for i. 4 Solve -33*x = -32*x + 3 for x. -3 Solve 27*r - 178 = 38 for r. 8 Solve -45 = -25*j + 55 for j. 4 Solve -26 = 210*j - 197*j for j. -2 Solve -l = -4*l - 9 for l. -3 Solve -11 = -3*c - 2 for c. 3 Solve 10*p = 24 - 24 for p. 0 Solve -126*b + 39 = -113*b for b. 3 Solve 4*x = 41 - 65 for x. -6 Solve -392*h = -366*h - 182 for h. 7 Solve -15*t - 183 + 183 = 0 for t. 0 Solve 3*y + 386 = 374 for y. -4 Solve 15 = 26*d + 15 for d. 0 Solve 11*j - 45 + 1 = 0 for j. 4 Solve -2*u = -4*u - 10 for u. -5 Solve -w = -46 + 42 for w. 4 Solve -88*r - 34 = -71*r for r. -2 Solve 241*u - 427 = 180*u for u. 7 Solve -390*t = -398*t + 24 for t. 3 Solve 284 = 2*j + 278 for j. 3 Solve -89*u + 72*u + 68 = 0 for u. 4 Solve -13*h + 18 = 31 for h. -1 Solve 0 = 2*m + 2*m - 11*m for m. 0 Solve -17*o = -0*o for o. 0 Solve -58*r + 30 = -64*r for r. -5 Solve -4*g = -12*g + 32 for g. 4 Solve -67 = 4*w - 75 for w. 2 Solve -75 - 6 = -9*c for c. 9 Solve -35*s = 2*s for s. 0 Solve 0 = -25*r - 125 - 50 for r. -7 Solve -10*u = -7*u for u. 0 Solve -26*y - 156 = -0*y for y. -6 Solve 33 = 4*y + 21 for y. 3 Solve 7427*f - 105 = 7412*f for f. 7 Solve -18 = -543*w + 537*w for w. 3 Solve 6*g - 21*g = 0 for g. 0 Solve 56*l = 60*l + 16 for l. -4 Solve 0 = -18*a - 33 - 57 for a. -5 Solve -16*t + 23 + 9 = 0 for t. 2 Solve 0*b + 5 = 5*b for b. 1 Solve 3*t = 43 - 58 for t. -5 Solve 164*s + 12 = 170*s for s. 2 Solve 3*a + 37 = 22 for a. -5 Solve -622 = 66*v - 28 for v. -9 Solve 21*h + 41 + 22 = 0 for h. -3 Solve 58*s - 10 = 53*s for s. 2 Solve 2702*q = 2685*q + 34 for q. 2 Solve -19*k + 8 = -15*k for k. 2 Solve 0 = -48*b + 21*b for b. 0 Solve 124*j - 5 = 129*j for j. -1 Solve -24 = -43*o + 49*o for o. -4 Solve -107 = 7*k - 135 for k. 4 Solve -8*i - 14 - 10 = 0 for i. -3 Solve 56 = -5*h + 81 for h. 5 Solve 0*f = -11*f - 66 for f. -6 Solve -75*k - 12 = -79*k for k. 3 Solve 4*u = 11*u + 35 for u. -5 Solve y + 39*y - 160 = 0 for y. 4 Solve 11 = -9*h + 29 for h. 2 Solve 0 = 79*g - 106*g for g. 0 Solve 0 = -14*t - 13*t - 81 for t. -3 Solve -379*d - 19 = -360*d for d. -1 Solve -7*g + 10*g = 9 for g. 3 Solve 0 = -37*r + 154 - 6 for r. 4 Solve -3*p = -8 + 14 for p. -2 Solve -16*z - 10*z - 52 = 0 for z. -2 Solve 1542*f - 1545*f = -21 for f. 7 Solve 0 = 2*b + 3 - 13 for b. 5 Solve 7*z - 13 = 29 for z. 6 Solve 3*d = -0*d - 15 for d. -5 Solve 8 = -34*p + 30*p for p. -2 Solve -57*j = -45*j + 60 for j. -5 Solve 0 = 6*l + 186 - 168 for l. -3 Solve 32*v = -18*v + 50 for v. 1 Solve 3*y = 223 - 220 for y. 1 Solve 25 = 207*d - 212*d for d. -5 Solve 8*x - 37 = 3 for x. 5 Solve 5 - 20 = -3*q for q. 5 Solve -3*z - 11 = -5 for z. -2 Solve 5*p + 13 = -12 for p. -5 Solve 3*a = -a + 12 for a. 3 Solve 2*l - 25 = -3*l for l. 5 Solve -8*c + 45 = 45 for c. 0 Solve -8*c + 3*c - 15 = 0 for c. -3 Solve -25 = 30*s + 5 for s. -1 Solve 223 = -25*v + 248 for v. 1 Solve 42*s = -63 - 315 for s. -9 Solve 30*d + 43*d = -365 for d. -5 Solve 61*i - 172 = -25*i for i. 2 Solve 0*v = 4*v - 16 for v. 4 Solve 0 = 27*l - 25*l + 6 for l. -3 Solve 19*i = 25*i - 18 for i. 3 Solve 46*c + 6 = 52*c for c. 1 Solve 1708*h - 1703*h = -15 for h. -3 Solve 3*d + 13*d + 64 = 0 for d. -4 Solve 0 = -4*t - 6 - 10 for t. -4 Solve -41*q + 10 = -43*q for q. -5 Solve 100*u - 66*u = 238 for u. 7 Solve -6*x - 86 + 92 = 0 for x. 1 Solve 5*b - 14 = -9 for b. 1 Solve 27*y - 2 = -83 for y. -3 Solve 0 = 3*c + 2*c - 15 for c. 3 Solve -35*w + 30 = -29*w for w. 5 Solve -21 = 5*m + 4 for m. -5 Solve -1 + 31 = 6*n for n. 5 Solve 81 + 23 = 26*q for q. 4 Solve 8*s + 37 = -19 for s. -7 Solve 11*g - 60 = -38 for g. 2 Solve -3255 = 16*j - 3303 for j. 3 Solve 0 = -29*u - 494 + 262 for u. -8 Solve 194 - 390 = 28*h for h. -7 Solve 0 = 200*s - 169*s + 62 for s. -2 Solve 358 = 20*y + 498 for y. -7 Solve 19*f - 5*f = 70 for f. 5 Solve -f = 5*f - 17*f for f. 0 Solve 0 = 33*y - 30*y - 3 for y. 1 Solve -6*n + 21 + 3 = 0 for n. 4 Solve -20 + 16 = -4*x for x. 1 Solve -44 = 46*s - 182 for s. 3 Solve 0 = 6*o - 8 + 38 for o. -5 Solve 35*c - 36*c + 3 = 0 for c. 3 Solve 0 = 18*k - 11*k - 7 for k. 1 Solve 2*r = 5 + 3 for r. 4 Solve -29*x + 5*x + 144 = 0 for x. 6 Solve 10*i = 618 - 678 for i. -6 Solve 7*f = -0 - 7 for f. -1 Solve 102*k = 108*k + 36 for k. -6 Solve 60*y = 55*y for y. 0 Solve -19*w - 2 = -21*w for w. 1 Solve 0 = -26*s - 6*s - 160 for s. -5 Solve -220*d - 2 = -219*d for d. -2 Solve 5*i + 6*i - 5*i = 0 for i. 0 Solve 0*f + 4 = 2*f for f. 2 Solve -20*q = 40 - 100 for q. 3 Solve -53*i + 35*i - 36 = 0 for i. -2 Solve 90*n - 380 = -5*n for n. 4 Solve -6*y - 243 + 219 = 0 for y. -4 Solve 5*j + 5
{ "pile_set_name": "DM Mathematics" }
133 -8 (base 14) to base 11 -8 Convert -5 (base 15) to base 7. -5 12112 (base 3) to base 8 225 What is 102 (base 4) in base 15? 13 -d (base 16) to base 11 -12 Convert 11 (base 2) to base 16. 3 What is 9 (base 12) in base 7? 12 -30 (base 12) to base 6 -100 Convert -62 (base 7) to base 12. -38 Convert 38 (base 13) to base 4. 233 Convert -16 (base 15) to base 11. -1a What is -3300 (base 4) in base 16? -f0 What is 3 (base 4) in base 5? 3 Convert -103 (base 4) to base 14. -15 -77 (base 13) to base 6 -242 -1 (base 16) to base 5 -1 What is 90 (base 12) in base 10? 108 What is 10 (base 4) in base 15? 4 What is 7 (base 11) in base 6? 11 Convert 5a (base 13) to base 7. 135 Convert 8 (base 15) to base 5. 13 Convert -16 (base 9) to base 5. -30 Convert -4 (base 11) to base 9. -4 What is -27 (base 16) in base 14? -2b What is -13 (base 7) in base 9? -11 Convert 10 (base 2) to base 5. 2 12 (base 11) to base 15 d What is -2 (base 9) in base 10? -2 Convert -3 (base 15) to base 2. -11 Convert d (base 15) to base 3. 111 Convert -1 (base 8) to base 16. -1 Convert -9 (base 12) to base 4. -21 -29 (base 14) to base 9 -41 5 (base 10) to base 6 5 5a (base 13) to base 3 2210 What is 53 (base 6) in base 16? 21 Convert -4a (base 16) to base 2. -1001010 -4b (base 12) to base 8 -73 Convert -4 (base 12) to base 13. -4 Convert -11 (base 12) to base 14. -d What is 113 (base 6) in base 7? 63 What is -3 (base 5) in base 8? -3 What is 11a (base 15) in base 12? 18a -201 (base 3) to base 15 -14 -10110011 (base 2) to base 9 -218 What is -1b (base 15) in base 3? -222 Convert 0 (base 12) to base 14. 0 Convert 18 (base 9) to base 5. 32 Convert -11 (base 5) to base 2. -110 What is -12 (base 5) in base 15? -7 Convert 106 (base 7) to base 12. 47 6 (base 16) to base 2 110 What is -9 (base 13) in base 10? -9 What is c9 (base 16) in base 8? 311 What is 2 (base 3) in base 10? 2 -121 (base 3) to base 9 -17 Convert 5 (base 11) to base 6. 5 Convert 1 (base 13) to base 5. 1 -1 (base 7) to base 6 -1 What is -13 (base 5) in base 11? -8 Convert 143 (base 10) to base 3. 12022 20211 (base 3) to base 2 10111000 4 (base 12) to base 11 4 What is 11 (base 10) in base 12? b Convert -a (base 16) to base 7. -13 What is -14 (base 12) in base 14? -12 2 (base 14) to base 3 2 10120 (base 3) to base 4 1200 Convert -1 (base 7) to base 10. -1 What is 0 (base 9) in base 15? 0 Convert 3 (base 4) to base 16. 3 What is 10 (base 2) in base 14? 2 Convert 2 (base 11) to base 9. 2 -1 (base 4) to base 12 -1 What is -4 (base 12) in base 8? -4 Convert -88 (base 15) to base 4. -2000 What is 1 (base 11) in base 13? 1 What is -2 (base 6) in base 10? -2 What is -5 (base 14) in base 9? -5 Convert -14 (base 6) to base 7. -13 -2 (base 15) to base 3 -2 Convert -15 (base 12) to base 10. -17 -138 (base 10) to base 13 -a8 Convert -1 (base 7) to base 11. -1 Convert -5 (base 11) to base 9. -5 Convert -240 (base 6) to base 13. -75 4 (base 15) to base 7 4 Convert 14 (base 16) to base 11. 19 What is 303 (base 4) in base 5? 201 What is 15 (base 10) in base 2? 1111 Convert -1 (base 15) to base 8. -1 Convert -116 (base 15) to base 11. -204 Convert 33 (base 10) to base 9. 36 What is 66 (base 7) in base 15? 33 Convert -1000101 (base 2) to base 9. -76 -26 (base 7) to base 16 -14 Convert -10 (base 2) to base 11. -2 What is -200 (base 3) in base 13? -15 Convert -3 (base 8) to base 11. -3 Convert -a (base 15) to base 12. -a 3 (base 11) to base 6 3 -1201 (base 5) to base 15 -bb 4 (base 15) to base 5 4 Convert 26 (base 15) to base 4. 210 What is -10 (base 16) in base 4? -100 1 (base 3) to base 12 1 Convert -5 (base 8) to base 16. -5 -122 (base 4) to base 2 -11010 What is -4 (base 5) in base 15? -4 What is 11 (base 7) in base 9? 8 What is 15 (base 6) in base 15? b What is 37 (base 8) in base 13? 25 -b (base 14) to base 8 -13 -b (base 12) to base 16 -b Convert -14 (base 11) to base 3. -120 Convert -243 (base 7) to base 2. -10000001 46 (base 11) to base 16 32 What is 23 (base 9) in base 12? 19 Convert -1a (base 14) to base 6. -40 -3 (base 13) to base 9 -3 18 (base 15) to base 8 27 -43 (base 13) to base 5 -210 What is 10 (base 11) in base 10? 11 Convert 1001 (base 4) to base 12. 55 What is -7 (base 14) in base 6? -11 Convert -36 (base 8) to base 15. -20 What is -3 (base 6) in base 16? -3 -112 (base 6) to base 12 -38 3 (base 5) to base 6 3 -72 (base 11) to base 4 -1033 -14 (base 14) to base 7 -24 What is 1 (base 4) in base 12? 1 147 (base 13) to base 15 103 What is -1 (base 11) in base 13? -1 What is 10 (base 10) in base 15? a 19 (base 16) to base 4 121 14 (base 15) to base 2 10011 -71 (base 13) to base 9 -112 What is -3 (base 5) in base 9? -3 Convert -9 (base 14) to base 3. -100 1 (base 8) to base 9 1 Convert -106 (base 9) to base 4. -1113 -22 (base 4) to base 15 -a Convert -3 (base 13) to base 15. -3 2 (base 9) to base 12 2 2 (base 5) to base 8 2 4 (base 12) to base 5 4 What is -2 (base 14) in base 9? -2 -10 (base 10) to base 11 -a What is 1043 (base 6) in base 10? 243 What is 1c (base 16) in base 3? 1001 Convert 7 (base 14) to base 2. 111 What is -4 (base 6) in base 9? -4 Convert -45 (base 6) to base 4. -131 What is -2 (base 3) in base 6? -2 -338 (base 9) to base 16 -116 0 (base 13) to base 16 0 What is -9 (base 14) in base 11? -9 Convert -2 (base 5) to base 3. -2 1 (base 2) to base 12 1 Convert -132 (base 7) to base 13. -57 Convert -6 (base 11) to base 13. -6 Convert 13 (base 8) to base 15. b What is -32 (base 13) in base 2? -101001 Convert -40 (base 16) to base 13. -4c 0 (base 6) to base 4 0 Convert -2 (base 4) to base 6. -2 0 (base 5) to base 2 0 66 (base 9) to base 2 111100 -4 (base 16) to base 12 -4 -17 (base 14) to base 3 -210 What is -202 (base 4) in base 16? -22 -10 (base 5) to base 8 -5 -2 (base 4) to base 3 -2 Convert -2 (base 15) to base 14. -2 -4d (base 15) to base 4 -1021 Convert 1 (base 12) to base 13. 1 Convert 8 (base 12) to base 8. 10 Convert -5 (base 13) to base 16. -5 What is -1221 (base 3) in base 8? -64 What is -3 (base 9) in base 13? -3 Convert 2 (base 3) to base 12. 2 What is -131 (base 7) in base 8? -107 Convert 0 (base 4) to base 6. 0 What is 11212 (base 3) in base 9? 155 What is -9 (base 13) in base 9? -10 What is 16 (base 8) in base 10? 14 62 (base 9) to base 16 38 100 (base 2) to base 9 4 -b (base 15) to base 14 -b 26 (base 10) to base 7 35 0 (base 12) to base 2 0 Convert -100 (base 2) to base 9. -4 Convert 322 (base 5) to base 15. 5c Convert 101 (base 2) to base 4. 11 What is 6 (base 11) in base 3? 20 What is 202 (base 6) in base 7? 134 Convert -46 (base 7) to base 12. -2a 56 (base 10) to base 6 132 -1120 (base 3) to base 14 -30 What is 29 (base 12) in base 5? 113 What is 102122 (base 3) in base 16? 13a What is -1 (base 3) in base 6? -1 -9 (base 16) to base 13 -9 -11 (base 3) to base 7 -4 What is -b (base 16) in base 3? -102 Convert 3 (base 11) to base 9. 3 6 (base 9) to base 4 12 What is 1 (base 10) in base 5? 1 46 (base 16) to base 5 240 Convert 1 (base 6) to base 11. 1 Convert -3 (base 4) to base 13. -3 -14 (base 5) to base 4 -21 6 (base 16) to base 10 6 -35 (base 7) to base 15 -1b What is 1 (base 9) in base 6? 1 22 (base 4) to base 15 a Convert 3 (base 15) to base 13. 3 Convert 1 (base 11) to base 16. 1 Convert -106 (base 10) to base 9. -127 -2 (base 5) to base 3 -2 -7 (base 10) to base 8 -7 Convert 30 (base 15) to base 4. 231 -10001 (base 4) to base 16 -101 351 (base 9) to base 5 2124 What is 4 (base 13) in base 2? 100 What is -18 (base 15) in base 14? -19 What is -3 (base 6) in base 10? -3 Convert 100010 (base 2) to base 6. 54 Convert -4 (base 5) to base 11. -4 Convert -111 (base 3) to base 13. -10 440 (base 6) to base 15 b3 Convert -20 (base 3) to base 12. -6 What is -9 (base 11) in base 8? -11 21 (base 5) to base 8 13 Convert 53 (base 12) to base 9. 70 Convert 1 (base 12) to base 14. 1 Convert 12 (base 16) to base 8. 22 Convert 1 (base 2) to base 14. 1 -12 (base 8) to base 4 -22 Convert -87 (base 16) to base 11. -113 Convert -100000 (base 2) to base 13. -26 What is 100 (base 4) in base 11? 15 What is b1 (base 12) in base 13? a3 What is 6 (base 11) in base 2? 110 Convert -1 (base 15) to base 9. -1 Convert -11 (base 15) to base 3. -121 -54 (base 6) to base 10 -34 What is 11 (base 16) in base 9? 18 What is 1 (base 2
{ "pile_set_name": "DM Mathematics" }
311? 1 What is the thousands digit of 26648? 6 What is the hundreds digit of 13717? 7 What is the units digit of 56321? 1 What is the units digit of 3823? 3 What is the units digit of 7601? 1 What is the tens digit of 5560? 6 What is the hundreds digit of 17097? 0 What is the units digit of 845? 5 What is the units digit of 221? 1 What is the thousands digit of 2567? 2 What is the units digit of 4957? 7 What is the hundreds digit of 2077? 0 What is the units digit of 307? 7 What is the ten thousands digit of 20873? 2 What is the thousands digit of 5365? 5 What is the thousands digit of 35878? 5 What is the hundreds digit of 409? 4 What is the hundreds digit of 5027? 0 What is the hundreds digit of 367? 3 What is the tens digit of 17351? 5 What is the units digit of 1669? 9 What is the hundreds digit of 15114? 1 What is the ten thousands digit of 13086? 1 What is the tens digit of 2562? 6 What is the units digit of 3232? 2 What is the hundreds digit of 3069? 0 What is the hundreds digit of 7680? 6 What is the hundreds digit of 47311? 3 What is the thousands digit of 28440? 8 What is the ten thousands digit of 25722? 2 What is the hundreds digit of 952? 9 What is the units digit of 9873? 3 What is the units digit of 3141? 1 What is the tens digit of 46635? 3 What is the ten thousands digit of 77467? 7 What is the thousands digit of 9341? 9 What is the tens digit of 681? 8 What is the hundreds digit of 25972? 9 What is the thousands digit of 57981? 7 What is the hundreds digit of 59511? 5 What is the ten thousands digit of 40847? 4 What is the thousands digit of 39103? 9 What is the ten thousands digit of 13133? 1 What is the units digit of 8? 8 What is the units digit of 2306? 6 What is the units digit of 1972? 2 What is the hundreds digit of 568? 5 What is the tens digit of 6292? 9 What is the units digit of 10741? 1 What is the tens digit of 3807? 0 What is the units digit of 1074? 4 What is the tens digit of 8521? 2 What is the tens digit of 474? 7 What is the ten thousands digit of 38214? 3 What is the thousands digit of 65481? 5 What is the hundreds digit of 3084? 0 What is the hundreds digit of 2843? 8 What is the units digit of 3630? 0 What is the units digit of 53387? 7 What is the tens digit of 37? 3 What is the thousands digit of 1957? 1 What is the units digit of 799? 9 What is the thousands digit of 33206? 3 What is the ten thousands digit of 50197? 5 What is the units digit of 19537? 7 What is the hundreds digit of 45113? 1 What is the units digit of 131? 1 What is the units digit of 2613? 3 What is the hundreds digit of 754? 7 What is the units digit of 172264? 4 What is the units digit of 1440? 0 What is the ten thousands digit of 21651? 2 What is the tens digit of 1710? 1 What is the thousands digit of 2063? 2 What is the tens digit of 96226? 2 What is the units digit of 32624? 4 What is the units digit of 1951? 1 What is the units digit of 1301? 1 What is the thousands digit of 1128? 1 What is the units digit of 71620? 0 What is the hundred thousands digit of 107398? 1 What is the thousands digit of 1814? 1 What is the hundreds digit of 3240? 2 What is the ten thousands digit of 112848? 1 What is the thousands digit of 1031? 1 What is the tens digit of 6446? 4 What is the hundreds digit of 23433? 4 What is the tens digit of 1086? 8 What is the hundreds digit of 44447? 4 What is the hundreds digit of 27668? 6 What is the tens digit of 22055? 5 What is the units digit of 1451? 1 What is the thousands digit of 1727? 1 What is the thousands digit of 2081? 2 What is the hundreds digit of 122? 1 What is the thousands digit of 52392? 2 What is the tens digit of 805? 0 What is the tens digit of 1206? 0 What is the units digit of 2332? 2 What is the units digit of 8768? 8 What is the hundreds digit of 592? 5 What is the units digit of 2408? 8 What is the tens digit of 231? 3 What is the tens digit of 26995? 9 What is the hundreds digit of 25053? 0 What is the units digit of 681? 1 What is the ten thousands digit of 60167? 6 What is the hundreds digit of 838? 8 What is the tens digit of 16141? 4 What is the units digit of 2300? 0 What is the thousands digit of 126533? 6 What is the tens digit of 1943? 4 What is the hundreds digit of 4395? 3 What is the tens digit of 4511? 1 What is the thousands digit of 2684? 2 What is the hundreds digit of 420? 4 What is the units digit of 977? 7 What is the hundreds digit of 2082? 0 What is the tens digit of 1332? 3 What is the hundreds digit of 3285? 2 What is the thousands digit of 10320? 0 What is the thousands digit of 2353? 2 What is the ten thousands digit of 22724? 2 What is the units digit of 2677? 7 What is the tens digit of 2265? 6 What is the ten thousands digit of 24129? 2 What is the ten thousands digit of 19908? 1 What is the hundreds digit of 2350? 3 What is the ten thousands digit of 63678? 6 What is the hundreds digit of 3239? 2 What is the hundreds digit of 27463? 4 What is the units digit of 21140? 0 What is the units digit of 8800? 0 What is the units digit of 19359? 9 What is the thousands digit of 5816? 5 What is the hundreds digit of 7207? 2 What is the tens digit of 3063? 6 What is the tens digit of 2724? 2 What is the units digit of 6637? 7 What is the tens digit of 2938? 3 What is the tens digit of 1681? 8 What is the units digit of 1055? 5 What is the hundreds digit of 5946? 9 What is the units digit of 9687? 7 What is the thousands digit of 2642? 2 What is the hundreds digit of 9570? 5 What is the hundreds digit of 60212? 2 What is the hundreds digit of 19003? 0 What is the thousands digit of 101358? 1 What is the hundreds digit of 1410? 4 What is the units digit of 1125? 5 What is the units digit of 4364? 4 What is the units digit of 1065? 5 What is the thousands digit of 99866? 9 What is the units digit of 19417? 7 What is the hundreds digit of 542? 5 What is the units digit of 22547? 7 What is the ten thousands digit of 67981? 6 What is the tens digit of 24589? 8 What is the units digit of 220? 0 What is the units digit of 607? 7 What is the hundreds digit of 2889? 8 What is the hundreds digit of 7291? 2 What is the thousands digit of 31383? 1 What is the ten thousands digit of 103581? 0 What is the thousands digit of 6152? 6 What is the thousands digit of 17546? 7 What is the hundreds digit of 10804? 8 What is the hundreds digit of 1093? 0 What is the units digit of 5548? 8 What is the tens digit of 1818? 1 What is the hundreds digit of 19925? 9 What is the thousands digit of 79139? 9 What is the thousands digit of 1093? 1 What is the hundreds digit of 124? 1 What is the units digit of 27553? 3 What is the hundreds digit of 1878? 8 What is the units digit of 2694? 4 What is the thousands digit of 1086? 1 What is the tens digit of 7629? 2 What is the units digit of 530? 0 What is the thousands digit of 5857? 5 What is the units digit of 300? 0 What is the hundreds digit of 2522? 5 What is the tens digit of 4580? 8 What is the tens digit of 20? 2 What is the units digit of 6351? 1 What is the hundreds digit of 59659? 6 What is the tens digit of 8637? 3 What is the tens digit of 1438? 3 What is the tens digit of 2709? 0 What is the tens digit of 588? 8 What is the units digit of 4816? 6 What is the hundreds digit of 16894? 8 What is the thousands digit of 12168? 2 What is the hundreds digit of 973? 9 What is the units digit of 55694? 4 What is the tens digit of 408? 0 What is the thousands digit of 2837? 2 What is the hundreds digit of 316? 3 What is the tens digit of 690? 9 What is the thousands digit of 6536? 6 What is the thousands digit of 52718? 2 What is the hundreds digit of 4501? 5 What is the hundreds digit of 16617? 6 What is the units digit of 500? 0 What is the hundreds digit of 167524? 5 What is the hundreds digit of 1249? 2 What is the hundreds digit of 2193? 1 What is the units digit of 574? 4 What is the hundreds digit of 2743? 7 What is the units digit of 106? 6 What is the thousands digit of 1853? 1 What is the hundreds digit of 249? 2 What is the hundreds digit of 6182? 1 What is the thousands digit of 8655? 8 What is the tens digit of 119? 1 What is the hundreds digit of 138? 1 What is the tens digit of 933? 3 What is the hundreds digit of 2477? 4 W
{ "pile_set_name": "DM Mathematics" }
Let u be (-1463)/76 + (-1)/(-4). Let n be l(u). Give y(n). -12 Let s(l) = l + 7. Let o(h) be the second derivative of -h**3/3 - 13*h**2 + 32*h. Let v be o(-10). What is s(v)? 1 Let f(x) = x**3 + 12*x**2 - 20*x - 19. Suppose 0 = -14*s - 143 - 78 + 39. What is f(s)? 72 Let f(s) = -2*s**2 + 9*s + 549. Let i be f(19). Let k(y) = 41*y + 94. Calculate k(i). 12 Let h = -7581 - -7583. Let l(y) = 3*y**2 - y - 5. Calculate l(h). 5 Let m = -370 - -378. Suppose m*h + 0*h - 8 = 0. Let f(w) = 2*w**3 + 2*w**2 - w. What is f(h)? 3 Let f(c) = -c**3 + 4*c**2 + 2*c + 2. Let j = -8589 - -8589. Calculate f(j). 2 Let v(l) = l**2 + l. Let f(k) = -k - 1. Let w(g) = 6*f(g) + v(g). Let p be 80/14 - 30/(-105). Let d be ((-5)/p)/((-4)/24). Determine w(d). -6 Let w(m) = -2*m**2 + 4*m - 1. Let d(q) = -2*q**2 - 3*q + 1. Let k(x) = 4*d(x) + 3*w(x). Let r = 5 - 6. Let o be 0 + 0 + r + 2. Determine k(o). -13 Let l(b) = b**3 - 5*b**2 - 4*b + 1. Let w(p) = -2*p**3 + 5*p**2 + 10. Let o be w(0). Let t(g) = -21*g + 215. Let n be t(o). Determine l(n). -19 Let r(p) = -p**3 + 7*p**2 - 2*p + 10. Suppose 14*l - 17*l + 9 = 0. Let w be ((-9)/(-6))/(9/240). Let t be 3 + w/(-15) + 20/l. What is r(t)? -4 Suppose 10 = b - 6*b + 2*v, 4*b + 4*v - 20 = 0. Let k(o) = o**3 - o**2. Let z be k(b). Let r(c) = -9*c - 5 + 4*c**2 - 4*c**2 - c**2 + z*c. What is r(-6)? 13 Suppose 145 = 3*y + 142. Let t(c) = 8*c**3 - c**2 - 5*c + 5. Determine t(y). 7 Let a(t) = t**2 + 11*t - 12. Suppose -4 = -5*x + 4*d, -2*x = -5*d + 2 - 7. Suppose -h - 5*r + 11 = 3, x = 4*h - 4*r + 64. Calculate a(h). 0 Let i = 71 + -71. Suppose i = 3*b + 9, -4*l + 3 = 5*b + 2. Let h(t) = -2*t**2 + t**3 + t**2 - 8*t + 9 + l*t**2 + 3*t**2. What is h(-7)? 16 Let u = -12 + 20. Let p(b) = -2*b**2 - 74*b + 1. Let m(s) = 9*s**2 + 382*s - 15. Let w(z) = -m(z) - 5*p(z). Calculate w(u). -22 Let s(q) = -162302871 + 162302871 + q**2. Let p = -8 + 5. Give s(p). 9 Let y(u) = 22*u**3 + 37*u**2 - 34*u + 85. Let j(i) = 7*i**3 + 13*i**2 - 12*i + 30. Let g(r) = -17*j(r) + 6*y(r). What is g(1)? 14 Let h(f) be the second derivative of 0 + 16*f + 0*f**3 - f**2 + 1/12*f**4. Calculate h(2). 2 Let z(u) = -u**3 - 11*u**2 - 10*u - 13. Let r be (-15912)/1599 - 10/205. Calculate z(r). -13 Let c(g) = -g**3 - 5*g**2 + 7*g + 1. Let x(r) = -r**2 + 10*r - 16. Let f be x(3). Suppose -2*t + j - 19 + 6 = 0, -4*t = -f*j + 29. Determine c(t). -5 Let z(b) be the second derivative of -b**5/20 + b**4/12 - b**2/2 - 2676*b. Give z(-2). 11 Suppose -24 = u + 2*u. Let c(s) be the second derivative of -s**4/12 - 5*s**3/6 + 8*s**2 + 245*s. Calculate c(u). -8 Let t(f) = f**3 - f**2 - 3*f + 41. Let u(p) = p**3 - 48 - 4*p + 4*p**3 + 251 - 6*p**2 - 12*p. Let a(c) = 11*t(c) - 2*u(c). Give a(0). 45 Suppose 4724*v - 4733*v + 72 = 0. Let a(x) = -2*x - 22. What is a(v)? -38 Let s(q) = q - 13. Let o be s(23). Let x(n) = o*n + 166*n**2 + 161*n**2 - 326*n**2. What is x(-9)? -9 Let f(t) = -15 - t**2 + 12*t + 4*t**2 - 4*t**2. Let l = -449 - -1655. Let g = l + -1196. Calculate f(g). 5 Suppose 0 = -p + 3*h + 88, 4*p + 3*h - 370 + 63 = 0. Suppose 91 = 3*c - 2*r, r = 1 - 6. Suppose c = -p*a + 82*a. Let l(i) = -i**2 + 9*i - 3. Calculate l(a). -3 Let s(o) = -7*o**2 - 9*o + 11. Let l(d) = -d**2 - d - 1. Let f(t) = -7*t**2 - 9*t + 2. Let k(g) = f(g) - 4*l(g). Let p(j) = -11*k(j) + 6*s(j). What is p(-1)? -10 Let u(a) = a**2 - 9*a - 1. Let w be 13/((-728)/(-3928)) + 1/(-7). Suppose -w*m = -65*m - 50. Give u(m). 9 Let g(z) = 7 + 6 - 730*z**2 + 732*z**2 - 16*z. Let r(q) = -q**2 + q + 1. Let i(a) = -g(a) - 3*r(a). Give i(-14). -2 Let l(q) = -41528*q - 37 + 41535*q - 35. Calculate l(10). -2 Suppose -12*o - 80 = -4*o - 256. Let y(g) = -g**2 + 23*g - 16. What is y(o)? 6 Let a(p) = -13*p - 62. Let h = 2892 + -2898. Calculate a(h). 16 Suppose -3365 = -26*l - 3391. Let j(g) = -7*g**2 - 2*g - 2. Determine j(l). -7 Suppose 0 = 5*t + 52 - 17. Let x = 12 + -8. Let c = t + x. Let b(d) = -d**2 - 3*d - 1. Calculate b(c). -1 Let n = -4 + 7. Let h be (-12 - -16)/((-16)/4). Let v = n + h. Let f(a) = -2*a**2 + a + 1. Calculate f(v). -5 Let s be 2/(6/5)*3. Let c(x) = -3 - x + s + 5. Let v = 417 + -407. Give c(v). -3 Let l(u) = 28*u - 292. Let n be l(23). Suppose -23*k - n = 21*k. Let p(z) = -z**2 - 9*z - 1. Determine p(k). 7 Let d(l) = 5*l - 2. Let q(r) = 25*r - 9. Let n(g) = -11*d(g) + 2*q(g). Let w be 2/6 - 18/54. Let v be -2 - -5 - (1 - w)*0. Give n(v). -11 Let p(n) = 884*n + 8. Let k be p(0). Let r(a) = -a**2 + 2*a + 49. Determine r(k). 1 Let b be 18/(-63) - 814/(-7). Let y = 116 - b. Let u(r) be the second derivative of -r**3/6 - 15*r**2/2 - 3*r. Give u(y). -15 Let p(k) be the first derivative of k**4/2 + k**2/2 + 6. Let c be p(-1). Let l(n) = 2*n**2 + 3*n. Let r(i) = -i**2 - 1. Let m(o) = l(o) + r(o). Give m(c). -1 Let x(l) = -8*l**3 - l**2 + 1. Let g(u) = -8*u - 14. Let z be g(-2). Suppose -2*w - 3*m + 5 = 7, -1 = w - z*m. Determine x(w). 8 Let i(f) = 3*f + 2447 - 2*f + 3*f - 2454. Determine i(-5). -27 Let r(m) be the first derivative of -11*m**2/2 - 2*m + 343. Let d(x) = x**2 + 16*x - 15. Let f be d(-17). Calculate r(f). -24 Let t(y) be the first derivative of -3*y**2 + 85. Let l = -369 - -364. Determine t(l). 30 Suppose 12 = 2*p + h - 26, -3*p + 2*h + 64 = 0. Let x(u) = -2*u + 14 - 10 + p. Let s be x(9). Let q(v) = v**2 - 8*v + 9. Calculate q(s). -3 Let x(z) = -6*z**3 + 2*z**2 - 4. Suppose -10*p + 11 = -14 + 5. Give x(p). -44 Let p(r) be the third derivative of -7*r**4/24 + 8*r**3/3 - r**2 - 1626. What is p(3)? -5 Let m(p) = -2*p**2 - 28*p + 6. Let k(u) = 6*u**2 + 59*u - 14. Let v(d) = -3*k(d) - 7*m(d). Calculate v(4). 12 Suppose 5*r = 2*s - 74, -r + 40 = -4*r - s. Let w(t) = -9*t**2 + 34*t + 71. Let l(o) = 38*o**2 - 140*o - 297. Let m(k) = -5*l(k) - 21*w(k). Give m(r). -6 Let c(k) = k**2 - 9*k + 1. Suppose -4*r = 4*z + 8, r - 18 + 26 = -2*z. Calculate c(r). -19 Let w = -2972 + 2980. Let d(i) = -i**2 + 11*i + 13. What is d(w)? 37 Suppose -x + 2*x - 15 = 5*w, 3*x = 15. Let h(r) be the third derivative of r**4/4 + 8*r**3/3 + 7508*r**2. What is h(w)? 4 Let s(k) = -2*k**2 + 4*k - 3. Let y(h) = -19*h + 114. Let f be y(11). Let x = -92 - f. Calculate s(x). -9 Let z(j) = -j**3 + 13*j**2 - 13*j + 16. Let t(u) = 5*u - 18. Let a be t(6). Let r be z(a). Let c(m) = m + 1. Calculate c(r). 5 Let p(k) = -k**2 - 13*k - 14. Let u = 187 - 79. Let t = -120 + u. Give p(t). -2 Let j(z) = z**2 + 9*z + 10. Suppose 5*t = -2*y + 2, 7*t + 20 = 11*t - 3*y. Suppose -5*r = 2 + 3, -4*r - 13 = w. Let m = t + w. Determine j(m). -4 Let n be (-82)/(-123)*(1 + 2). Suppose w + i - 3 = 0, -5*i = -3*w + 9 - 0. Let h(u) = w*u - u - 9*u + 4 + u**n. Calculate h(7). 4 Let z(s) = 5*s**2 - 4*s - 22. Let k = -27741 - -27737. What is z(k)? 74 Suppose 48*l - 5*l = -76*l + 357. Let r(a) = -a**3 + a**2 + 5*a + 3. Give r(l). 0 Let w(z) = 4*z**2 + 42*z + 5. Let i(p) = -9*p**2 - 97*p - 11. Let y(o) = -2*i(o) - 5*w(o). Give y(-7). 11 Let k(m) = -m**2 + 3*m - 1. Let r(n) = -n**3 + 2*n**2 - 4*n - 14. Let u be r(-2). Suppose -19 = -2*l - 11, v + 2*l = u. Determine k(v). 1 Let g(q) be the second derivative of -7*q**4/12 - 13*q**3/3 + 19*q**2/2 + 2*q + 2912. Determine g(-4). 11 Let o be 40/(-880)*-418 - (-1 - -3). Let t(n) = n**3 - 14*n**2 - 45*n - 94. Give t(o). 8 Let a(q) = -6*q**2 - q. Let u(s) = -29*s**2 - 9*s + 1. Let c be ((-204)/(-306))/((-4)/3 + 2). Let z(o) = c*u(o) - 5*a(o). Give z(2). -3 Let i(b) be the third derivative of b**3 - 1/12*b**4 - 2 - 14*b**2 + 0*b. Calculate i(7). -8 Let j(l) = 5*l**3 - 4*l**2 + 3*l - 5. Suppose 5*b - 51 = -3*u, -u + 4*b - 7 = 3*b. Calculate j(u). 25 Let a(l) = -l + 54. Let c(s) = -168. Let p(r) = -6*a(r) - 2*c(r). Give p(7). 54 Let p(m) = 3*m + 13. Suppose 2*t + 308*l - 304*l - 40 = 0, 0 = t + 4*l - 28. Calculate p(t). 49 Let y(k) = 19364*k**3 + 31*k + 16 - 7*k**2 - 9652*k**3 - 9713*k**3. Give y(-10). 6 Let i(c) = -3*c + 1. Let g(m) = -3*m**2 + 21*m. Let y be g(7). Calculate i(y). 1 Let s(v) be the third derivative of -v**6/120 - 17*v**5/30 + 31*v**4/24 - 139*v**3/6 + 3*v**2 + 2*v + 750. What is s(-35)? 1 Suppose 13*p = -p - 23*p. Let f(j) be the second derivative of j**6/360 - j**4/12 + 7*j**3/6 - 4*j. Let q(t) be the second derivative of f(t). Give q(p). -2 Let t(v) be the third derivative of -v**5/30 - v**4/2 + 8*v**3/3 + 5*v**2
{ "pile_set_name": "DM Mathematics" }
**5 + 14*d**5 - 66*d**2 + 19*d**5 + 12*d**4 - 42*d**2 - 44*d**5. 3*d*(d - 3)**2*(d + 3)*(d + 7) Let o be (37 + (-4 - -1))*(-206)/(-1751). Determine u so that 0 - 10*u + 19/2*u**2 - 1/2*u**o + u**3 = 0. -4, 0, 1, 5 Let z(p) be the third derivative of -p**5/720 + 331*p**4/96 + 497*p**3/36 - 514*p**2. Factor z(h). -(h - 994)*(h + 1)/12 Let z = 206731/1240404 + 1/413468. Factor 0 + 1/6*d**3 + 5/2*d + 17/6*d**2 - z*d**4. -d*(d - 5)*(d + 1)*(d + 3)/6 Find y, given that -95 + 14*y**3 + 162*y - 55*y - 1 + 488*y**2 - 4*y**3 + 275*y = 0. -48, -1, 1/5 Let d(b) = -2*b + 76. Let x be ((-72)/7)/(10/(-35)). Let c be d(x). Let 0 + 6/5*k**c + 0*k + 4/5*k**2 + 2*k**3 = 0. Calculate k. -1, -2/3, 0 Suppose 1315 = -l + 17*j - 15*j, 0 = 5*l - 5*j + 6550. Let m = l - -6527/5. Suppose -26/5*x + 28/5 - m*x**2 = 0. Calculate x. -14, 1 Let h(l) be the first derivative of l**7/924 + l**6/990 - l**5/33 - 2*l**4/33 + l**3 + 5*l**2/2 - 53. Let n(r) be the third derivative of h(r). Factor n(v). 2*(v - 2)*(v + 2)*(5*v + 2)/11 Let u(k) = -k**2 + 14*k + 23. Suppose 6*q + 56 = 10*q. Let c be u(q). Factor 35*x**2 - c*x**5 + 5*x + 77*x**4 + 75*x**3 + 43*x**5 - 12*x**4. 5*x*(x + 1)**3*(4*x + 1) Find u, given that 0 + 2/7*u**3 + 634/7*u**2 + 0*u = 0. -317, 0 Let p = 421 + -325. Solve -3*h**2 - 93*h**4 + 198*h**4 - 15*h - 6 + 15*h**3 - p*h**4 = 0 for h. -1, -2/3, 1 Let q(h) = 37*h**2 - 124*h + 43. Let x be q(3). Suppose -3/7*p**2 + 3/7*p**x - 3/7*p**3 + 3/7*p + 0 = 0. What is p? -1, 0, 1 Let j be 1*18 + (-2 - -1) + 2. Factor 14 + 61 - j + 36*n + 4*n**2. 4*(n + 2)*(n + 7) Let z(c) be the second derivative of -c**5/30 + c**4/2 - 5*c**3/3 + 21*c**2/2 + 36*c - 2. Let u(q) be the first derivative of z(q). Factor u(w). -2*(w - 5)*(w - 1) Factor 1/4*t**4 - 45/4*t + 43/4*t**2 - 11 + 45/4*t**3. (t - 1)*(t + 1)**2*(t + 44)/4 Let 0 + 64/13*h - 10*h**2 + 68/13*h**3 - 2/13*h**4 = 0. What is h? 0, 1, 32 Determine t, given that 1366/3*t**3 - 2888/3*t + 25*t**4 - 532*t**2 + 1/3*t**5 + 0 = 0. -38, -1, 0, 2 Let k(b) be the first derivative of -b**3/2 - 57*b**2 - 2166*b + 225. Factor k(x). -3*(x + 38)**2/2 Let w(p) be the second derivative of -2*p + 1/105*p**7 + 3/5*p**4 - 9/5*p**3 + 13/25*p**5 - 27/5*p**2 + 6 + 3/25*p**6. Factor w(m). 2*(m - 1)*(m + 1)*(m + 3)**3/5 Let b(x) be the first derivative of -17*x**5/10 + 101*x**4/16 - 65*x**3/12 - x**2/4 - 387. Let b(r) = 0. What is r? -1/34, 0, 1, 2 Suppose -1089 = -19*i + 10*i. Let t be (11/i)/((-1)/(-4)). Let 6/11*s**2 + 2/11*s**3 + 0 + t*s = 0. Calculate s. -2, -1, 0 Let u(k) = 4*k**2 - 56*k. Let h(c) = -c**2 + 14*c. Suppose -3*s + 4*l = -2, -4 = -4*s - l + 5. Let p(y) = s*u(y) + 9*h(y). Let p(q) = 0. What is q? 0, 14 Let b(o) be the second derivative of 3*o**5/100 + 5967*o**4/20 + 11868363*o**3/10 + 23606174007*o**2/10 - 1005*o. Let b(n) = 0. Calculate n. -1989 Suppose 200*r = 192*r - 24. Let n be r/27*(-12 + 9). Suppose -s + n*s**3 + 0*s**2 - 2/3 = 0. Calculate s. -1, 2 Let q(l) be the second derivative of l**8/1680 - l**7/420 - 7*l**6/360 - l**5/30 - 17*l**3/6 + 55*l. Let f(p) be the second derivative of q(p). Factor f(r). r*(r - 4)*(r + 1)**2 Let g(u) be the first derivative of -7*u**4/6 - 8*u**3/3 + 4*u**2/3 - 162. Factor g(r). -2*r*(r + 2)*(7*r - 2)/3 Let t be (-3 + 5/(-225)*-109)*3. Let k = t - -524/285. Solve -4/19*z**2 + 22/19*z**3 - 24/19*z + 16/19 - 12/19*z**4 + k*z**5 = 0. -1, 1, 2 Suppose 852*y = 816*y + 65 + 43. Let g(n) be the second derivative of 12/11*n**2 - 3/55*n**5 - 1/165*n**6 - 3/22*n**4 + 4/33*n**y - 16*n + 0. Solve g(h) = 0. -3, -2, 1 Let g be ((-66)/12 + 5)*160/(-4). Find q such that -g*q + 81*q + 5*q**2 - 36*q + 20 = 0. -4, -1 Let y be (-738)/(-156) + 18/(-78). Find h such that -27/2 + y*h - 3/8*h**2 = 0. 6 Factor 4/3*y**2 + 124/3 - 128/3*y. 4*(y - 31)*(y - 1)/3 Let t = 17 - 37. Let a be 7/2 - 10/t. Find y such that -10 + 15*y**4 + 2*y**2 - 20*y + 0*y**a - 5*y - 7*y**2 + 25*y**3 = 0. -1, -2/3, 1 Let b = -1930 + 3210. Let 3907*p + 3758*p - 7825*p + 5*p**2 + b = 0. What is p? 16 Factor -1/3*j**5 + 0*j**4 + 0 + 1/3*j**3 + 0*j + 0*j**2. -j**3*(j - 1)*(j + 1)/3 Let v(y) be the third derivative of 0*y - 1 - 1/240*y**6 - 1/30*y**5 + 141*y**2 + 1/48*y**4 + 1/3*y**3. Let v(q) = 0. Calculate q. -4, -1, 1 Suppose 0 = l + 3*b + 33 + 128, 0 = 3*b - 3. Let w = 822/5 + l. Determine c so that -98/5 - w*c**2 - 28/5*c = 0. -7 Find t such that 11320/3*t - 8008900/3 - 4/3*t**2 = 0. 1415 Let m be (491 + -495)/((7/9)/(2*2/(-24))). Solve 54/7*j**2 + 6 + m*j**3 + 90/7*j = 0. -7, -1 Let s(w) be the second derivative of 2/75*w**6 - 4 + 0*w**3 + 0*w**2 - 2/5*w**5 + 8/15*w**4 + 17*w + 2/105*w**7. Solve s(l) = 0 for l. -4, 0, 1, 2 Let n(m) be the first derivative of m**6 + 74*m**5/65 - 274*m**4/13 - 1816*m**3/39 + 48*m**2/13 + 3532. Find p, given that n(p) = 0. -3, -2, 0, 2/39, 4 Let a(l) = 10*l**2 + 45*l - 25. Let i be a(-5). Factor 9/2*t**3 + 27*t**4 - 42*t**2 + i + 18*t. 3*t*(6*t**2 + 5*t - 6)/2 Let m(f) be the second derivative of 0*f**3 + 0*f**2 - 23*f - 1 - 1/6*f**4 - 1/5*f**6 - 2/5*f**5. Let m(u) = 0. What is u? -1, -1/3, 0 Let n(t) be the second derivative of t**6/120 - t**5/20 + 2*t**3/3 - 145*t**2/2 + 7*t. Let h(g) be the first derivative of n(g). Factor h(l). (l - 2)**2*(l + 1) Let s(d) = d**2 - 139. Let b be s(12). Let g(z) be the second derivative of -3/2*z**3 + 18*z + 3/20*z**b + 0*z**2 + 1/2*z**4 + 0. Factor g(v). 3*v*(v - 1)*(v + 3) Suppose 3 + 97 = 153*o - 206. Let x be (2 + -4)*1/(-3). Let 1/3*b + x - 1/3*b**o = 0. Calculate b. -1, 2 Suppose -2*u - 14 = -12, 2*n - 3 = -u. Let a(j) be the third derivative of 0*j + 17*j**n - 7/180*j**6 + 4/9*j**4 + 4/9*j**3 + 1/18*j**5 + 0. Factor a(q). -2*(q - 2)*(q + 1)*(7*q + 2)/3 Let k be ((-65)/117)/(((-90)/(-24))/((-54)/12)). Factor -4*m**2 + k*m**3 + 10/3*m + 0. 2*m*(m - 5)*(m - 1)/3 Let z(l) be the third derivative of 28*l**2 + 0*l + 1/240*l**6 + 0*l**3 + 1/24*l**4 + 0 + 1/40*l**5. Factor z(r). r*(r + 1)*(r + 2)/2 Let k(a) be the first derivative of -a**4 + 32*a**3 + 104*a**2 + 7969. Factor k(d). -4*d*(d - 26)*(d + 2) Let q be (-78)/114 - ((-132)/176 + 2/(-8)). Let j(g) be the first derivative of -13 + 2/57*g**3 - 2/19*g**2 - q*g. Factor j(y). 2*(y - 3)*(y + 1)/19 Let s be (-1)/(5/11586) - (-8)/(-10). Let n = s + 2318. Factor n + 2/7*f**2 + 2/7*f. 2*f*(f + 1)/7 Let x(d) = -3*d**3 - 2*d**2 + 37*d - 92. Let l(g) = -5*g**3 - 6*g**2 + 73*g - 170. Let a(v) = 4*l(v) - 7*x(v). Factor a(u). (u - 4)*(u - 3)**2 Let v(c) be the third derivative of 5*c + 0*c**5 - 1/165*c**6 + 5*c**2 + 4/33*c**4 + 1/1155*c**7 + 0 - 16/33*c**3. Solve v(i) = 0. -2, 2 Let a be -15 - 4378/(-286) - 86/364. Let m(f) be the first derivative of 4/7*f + a*f**4 + 37 - 4/7*f**2 - 1/35*f**5 + 1/7*f**3. Factor m(u). -(u - 2)*(u - 1)**2*(u + 2)/7 Let s(d) be the second derivative of -d**7/48 + 55*d**6/288 - 7*d**5/24 - 51*d**4/4 + d + 27. Let q(z) be the third derivative of s(z). Factor q(i). -5*(3*i - 7)*(7*i - 2)/2 Let y(k) be the second derivative of -k**7/105 - k**6/30 + k**5/30 + k**4/6 + 41*k**2/2 - k - 2. Let v(f) be the first derivative of y(f). Solve v(d) = 0. -2, -1, 0, 1 Let i = 10521/7022 + 6/3511. Suppose -12*k**2 + i*k**3 + 30*k - 24 = 0. Calculate k. 2, 4 Suppose 626*u - 1616 = -182*u. Factor -2/7*r**u + 32/7 - 30/7*r. -2*(r - 1)*(r + 16)/7 Suppose -3*j = -3*i - 36, -4*j + 5*j = -2*i. Suppose j*p - 6 = 18. Factor 2/3*x + 0 - 1/3*x**2 + x**4 - 4/3*x**p. x*(x - 1)**2*(3*x + 2)/3 Let y be (280/60)/(-2 - (-329)/165). Let o = 3083/4 + y. Solve -o*r**2 - 3/2*r + 9/4 = 0. -3, 1 Let t(s) = -s**2 - 13*s - 22. Let c(o) be the second derivative of -o**3/6 - o**2 + 5*o + 2. Let p(z) = -22*c(z) + 2*t(z). Let p(j) = 0. What is j? -2, 0 Let t = -183805/14 + 13129. Let m(p) be the second derivative of -3/140*p**5 + 1/14*p**3 + t*p**4 + 15*p + 0 - 3/7*p**2. Factor m(x). -3*(x - 2)*(x - 1)*(x + 1)/7 Let p(m) be the first derivative of -m**4/4 + 1333*m**3 - 5330667*m**2/2 + 2368593037*m + 6491. Factor p(d). -(d - 1333)**3 Let i(o) be the first derivative of 13/2*o**4 + 11/5*o**5 + 16/3*o**3 + 1/6*o**6 + 0*o + 0*o**2 - 36. Solve i(g) = 0. -8, -2, -1, 0 Find x such that -290/3 - 760/3*x**2 + 25/3*x**3 + 1025/3*x = 0. 2/5, 1, 29 Solve 0 - 7*a - 27/2*a**2 + 1/2*a**4 - 6*a**3 = 0 for a. -1, 0, 14 Let c(i) = -70*i**2 + 17*i - 87. Let b(v) = -33*v**
{ "pile_set_name": "DM Mathematics" }
term of 532148, 532161, 532192, 532247, 532332? p**3 + 3*p**2 - 3*p + 532147 What is the u'th term of 46860, 374989, 1265618, 2999997, 5859376, 10125005, 16078134, 24000013? 46875*u**3 + 4*u - 19 What is the u'th term of 184, 400, 646, 934, 1276, 1684, 2170, 2746? 2*u**3 + 3*u**2 + 193*u - 14 What is the m'th term of -202, -364, 74, 1700, 5102? 98*m**3 - 288*m**2 + 16*m - 28 What is the l'th term of -4303299, -17213227, -38729773, -68852937, -107582719, -154919119? -4303309*l**2 - l + 11 What is the h'th term of -17087, -36466, -55845, -75224? -19379*h + 2292 What is the w'th term of 39749, 159662, 359525, 639344, 999125, 1438874, 1958597, 2558300? w**3 + 39969*w**2 - w - 220 What is the i'th term of -2852, -11336, -25476, -45272? -2828*i**2 - 24 What is the c'th term of 7410, 12189, 16968, 21747, 26526? 4779*c + 2631 What is the m'th term of -2080309, -2080360, -2080411, -2080462, -2080513, -2080564? -51*m - 2080258 What is the k'th term of 4612, 9036, 13426, 17782, 22104? -17*k**2 + 4475*k + 154 What is the v'th term of -58871690, -117743380, -176615070? -58871690*v What is the z'th term of -48334, -60469, -72604, -84739, -96874? -12135*z - 36199 What is the r'th term of 55006, 110104, 165202, 220300? 55098*r - 92 What is the r'th term of 10349, 20565, 30541, 40157, 49293, 57829, 65645, 72621? -20*r**3 + 10356*r + 13 What is the k'th term of 45394, 181206, 407440, 724096, 1131174, 1628674? 45211*k**2 + 179*k + 4 What is the l'th term of -110202, -220295, -330388, -440481? -110093*l - 109 What is the m'th term of -20429404, -20429400, -20429396, -20429392, -20429388? 4*m - 20429408 What is the w'th term of -78427, -78409, -78391? 18*w - 78445 What is the n'th term of -9997, -22518, -35039? -12521*n + 2524 What is the k'th term of 112217465, 224434928, 336652391, 448869854, 561087317? 112217463*k + 2 What is the c'th term of 6443, 25761, 57917, 102881, 160623, 231113, 314321, 410217? -5*c**3 + 6449*c**2 + 6*c - 7 What is the m'th term of -171532588, -343065175, -514597762, -686130349, -857662936, -1029195523? -171532587*m - 1 What is the v'th term of -1282, -4491, -9638, -16729, -25770, -36767, -49726, -64653? -v**3 - 963*v**2 - 313*v - 5 What is the z'th term of 202766, 202685, 202458, 202013, 201278? -12*z**3 - z**2 + 6*z + 202773 What is the l'th term of 16928, 18561, 20194? 1633*l + 15295 What is the p'th term of 80603, 317279, 711739, 1263983, 1974011, 2841823? 78892*p**2 + 1711 What is the a'th term of -21906, -43793, -65690, -87603, -109538? -a**3 + a**2 - 21883*a - 23 What is the n'th term of -2624954, -2624957, -2624960, -2624963, -2624966, -2624969? -3*n - 2624951 What is the s'th term of -237935856, -951743423, -2141422702, -3806973693, -5948396396? -237935856*s**2 + s - 1 What is the i'th term of -2621, -5268, -7901, -10526, -13149? -i**3 + 13*i**2 - 2679*i + 46 What is the r'th term of -4217, -7065, -9891, -12695, -15477? 11*r**2 - 2881*r - 1347 What is the o'th term of -254678, -509705, -764710, -1019681, -1274606, -1529473? 2*o**3 - o**2 - 255038*o + 359 What is the p'th term of 2143805, 2143803, 2143789, 2143757, 2143701, 2143615? -p**3 + 5*p + 2143801 What is the u'th term of 1922, 1503, 1114, 755, 426? 15*u**2 - 464*u + 2371 What is the r'th term of 21042, 42107, 63166, 84219, 105266? -3*r**2 + 21074*r - 29 What is the f'th term of -5730, -9961, -14158, -18303, -22378? 3*f**3 - f**2 - 4249*f - 1483 What is the n'th term of -46195, -46752, -47675, -48958, -50595, -52580, -54907? n**3 - 189*n**2 + 3*n - 46010 What is the w'th term of 1680, 3182, 4544, 5766, 6848, 7790? -70*w**2 + 1712*w + 38 What is the i'th term of -37273, -148846, -334807, -595162, -929917? -i**3 - 37188*i**2 - 2*i - 82 What is the j'th term of -91006, -366587, -825890, -1468915? -91861*j**2 + 2*j + 853 What is the b'th term of -11071, -7972, -2799, 4454, 13793, 25224, 38753, 54386? b**3 + 1031*b**2 - b - 12102 What is the b'th term of 203215, 198507, 193803, 189103, 184407, 179715? 2*b**2 - 4714*b + 207927 What is the s'th term of -59597, -238908, -537761, -956156, -1494093, -2151572? -59771*s**2 + 2*s + 172 What is the t'th term of -71227, -142212, -212777, -282712, -351807, -419852, -486637? 35*t**3 - 71230*t - 32 What is the g'th term of 2704, -606, -3916, -7226? -3310*g + 6014 What is the k'th term of -2173, -6159, -10147, -14137, -18129? -k**2 - 3983*k + 1811 What is the v'th term of -5044, -10075, -15088, -20083, -25060? 9*v**2 - 5058*v + 5 What is the r'th term of 344849, 689728, 1034607, 1379486? 344879*r - 30 What is the q'th term of 338, 3394, 8438, 15470, 24490, 35498? 994*q**2 + 74*q - 730 What is the a'th term of 190, -6734, -18270, -34418, -55178, -80550? -2306*a**2 - 6*a + 2502 What is the b'th term of 2602, 4817, 6640, 8065, 9086, 9697, 9892? -b**3 - 190*b**2 + 2792*b + 1 What is the d'th term of -4961513, -9923073, -14884631, -19846187, -24807741? d**2 - 4961563*d + 49 What is the p'th term of -13062, -26173, -39330, -52533, -65782, -79077, -92418? -23*p**2 - 13042*p + 3 What is the s'th term of 39, -122, -329, -588, -905, -1286, -1737, -2264? -s**3 - 17*s**2 - 103*s + 160 What is the a'th term of -31568, -136271, -310776, -555083, -869192? -34901*a**2 + 3333 What is the m'th term of 99693, 399323, 898707, 1597845? 99877*m**2 - m - 183 What is the k'th term of -297278, -593923, -890568, -1187213? -296645*k - 633 What is the f'th term of -2651998, -2651999, -2652002, -2652007? -f**2 + 2*f - 2651999 What is the r'th term of -1890321, -3780610, -5670899, -7561188? -1890289*r - 32 What is the l'th term of -111362, -112036, -112710? -674*l - 110688 What is the w'th term of -83350, -166663, -249974, -333289, -416614? -w**3 + 7*w**2 - 83327*w - 29 What is the r'th term of 466, 1874, 4160, 7264, 11126? -10*r**3 + 499*r**2 - 19*r - 4 What is the i'th term of 51313881, 51313878, 51313875, 51313872, 51313869, 51313866? -3*i + 51313884 What is the y'th term of -27845370, -55690740, -83536110, -111381480? -27845370*y What is the n'th term of 3497, 4366, 5357, 6470, 7705, 9062, 10541? 61*n**2 + 686*n + 2750 What is the z'th term of 758, -4608, -16104, -33736, -57510? -z**3 - 3059*z**2 + 3818*z What is the j'th term of 2944984, 2944976, 2944966, 2944954, 2944940, 2944924, 2944906? -j**2 - 5*j + 2944990 What is the y'th term of 7442211, 14884424, 22326637, 29768850? 7442213*y - 2 What is the f'th term of 16738, 33420, 50100, 66778, 83454, 100128, 116800? -f**2 + 16685*f + 54 What is the k'th term of -9793, -22723, -35665, -48625, -61609, -74623, -87673? -k**3 - 12923*k + 3131 What is the f'th term of 11258, 11312, 11364, 11414, 11462? -f**2 + 57*f + 11202 What is the b'th term of 28690002, 28690001, 28690000? -b + 28690003 What is the m'th term of -4258475, -8516956, -12775441, -17033930, -21292423, -25550920, -29809421? -2*m**2 - 4258475*m + 2 What is the k'th term of -13125, -13061, -12913, -12645, -12221, -11605, -10761? 6*k**3 + 6*k**2 + 4*k - 13141 What is the v'th term of -8430, -3945, 540, 5025, 9510, 13995? 4485*v - 12915 What is the o'th term of 98094, 98020, 97978, 97968, 97990, 98044, 98130? 16*o**2 - 122*o + 98200 What is the l'th term of 31297, 125186, 281665, 500734, 782393, 1126642? 31295*l**2 + 4*l - 2 What is the b'th term of 27838, 55701, 83660, 111715, 139866, 168113, 196456? 48*b**2 + 27719*b + 71 What is the k'th term of -1865539, -1865540, -1865537, -1865530, -1865519, -1865504? 2*k**2 - 7*k - 1865534 What is the n'th term of -285182085, -285182086, -285182087, -285182088, -285182089, -285182090? -n - 285182084 What is the k'th term of 77333, 154586, 231697, 308594, 385205, 461458? -12*k**3 + k**2 + 77334*k + 10 What is the u'th term of 248374785, 248374789, 248374795, 248374803, 248374813, 248374825? u**2 + u + 248374783 What is the j'th term of 1293773, 1293768, 1293763? -5*j + 1293778 What is the j'th term of 951376, 951388, 951400, 951412? 12*j + 951364 What is the a'th term of 4412, 4122, 3832? -290*a + 4702 What is the j'th term of -311714, -623424, -935120, -1246796, -1558446, -1870064, -2181644, -2493180? j**3 + j**2 - 311720*j + 4 What is the u'th term of -3875939, -3875944, -3875949? -5*u - 3875934 What is the u'th term of -5109, -5387, -5849, -6495, -7325? -92*u**2 - 2*u - 5015 What is the f'th term of 23764, 47727, 71
{ "pile_set_name": "DM Mathematics" }