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prob of sequence pjp? 5/36 Two letters picked without replacement from sttjtjtjjtjs. What is prob of sequence js? 5/66 Calculate prob of sequence lggy when four letters picked without replacement from {g: 6, l: 11, w: 1, y: 1}. 55/15504 What is prob of sequence jtva when four letters picked without replacement from {t: 2, a: 3, n: 3, v: 2, j: 5}? 1/546 Two letters picked without replacement from llllllvyvvln. Give prob of sequence vy. 1/44 Two letters picked without replacement from coqcbiw. Give prob of sequence ci. 1/21 Four letters picked without replacement from avbaaajb. Give prob of sequence avaj. 1/140 Four letters picked without replacement from {x: 2, h: 1, r: 10, o: 7}. Give prob of sequence orrx. 7/646 Two letters picked without replacement from {v: 2, c: 2, f: 1}. What is prob of sequence fv? 1/10 What is prob of sequence sxl when three letters picked without replacement from {l: 1, x: 1, s: 1, w: 1, r: 1, p: 2}? 1/210 Three letters picked without replacement from dvdddddd. Give prob of sequence ddv. 1/8 Four letters picked without replacement from mmrpmmmprmmmmm. Give prob of sequence rmpm. 15/1001 Two letters picked without replacement from ppppppppp. What is prob of sequence pp? 1 What is prob of sequence zzcc when four letters picked without replacement from {z: 9, c: 7}? 9/130 Four letters picked without replacement from cczz. Give prob of sequence zccz. 1/6 What is prob of sequence rrr when three letters picked without replacement from ratlarrtjtatatla? 1/560 Four letters picked without replacement from qmczqvqqqsmcc. What is prob of sequence vqcq? 1/286 What is prob of sequence kk when two letters picked without replacement from {w: 4, j: 2, k: 6}? 5/22 Two letters picked without replacement from {e: 1, j: 11, q: 1}. Give prob of sequence je. 11/156 Calculate prob of sequence uw when two letters picked without replacement from uuwre. 1/10 Calculate prob of sequence ztz when three letters picked without replacement from tzttttztzttttt. 11/364 Three letters picked without replacement from {z: 2, u: 2}. Give prob of sequence zuz. 1/6 Four letters picked without replacement from noooonooooonooononn. What is prob of sequence nnon? 65/3876 Three letters picked without replacement from {q: 5, h: 2, u: 2, z: 1, g: 4}. Give prob of sequence ggg. 1/91 Two letters picked without replacement from {v: 3, z: 15}. What is prob of sequence zv? 5/34 Calculate prob of sequence ym when two letters picked without replacement from yyyyyvyyyyyyyym. 13/210 Calculate prob of sequence mrrw when four letters picked without replacement from wmwrmwwrwwwww. 3/1430 Two letters picked without replacement from {x: 7, t: 4}. What is prob of sequence tx? 14/55 Two letters picked without replacement from {z: 3, k: 3, a: 2, n: 4, h: 4}. What is prob of sequence ah? 1/30 Calculate prob of sequence cd when two letters picked without replacement from cicphkhkddhhkhd. 1/35 Four letters picked without replacement from {v: 11, w: 9}. What is prob of sequence wwvv? 22/323 Calculate prob of sequence ooo when three letters picked without replacement from ooooo. 1 What is prob of sequence eeae when four letters picked without replacement from aeeeaeeaaeeaaa? 35/572 Four letters picked without replacement from {e: 12, t: 7}. Give prob of sequence etee. 385/3876 Calculate prob of sequence dhi when three letters picked without replacement from zzdhddzihzh. 1/110 Three letters picked without replacement from {z: 1, v: 3}. Give prob of sequence vvv. 1/4 Four letters picked without replacement from lglggggnnngllnl. What is prob of sequence llgg? 5/273 Calculate prob of sequence ssk when three letters picked without replacement from {k: 9, s: 3}. 9/220 Four letters picked without replacement from gjiiyigijljjgjjjj. What is prob of sequence ggjg? 1/1190 What is prob of sequence icc when three letters picked without replacement from {c: 18, i: 1}? 1/19 What is prob of sequence ngn when three letters picked without replacement from {g: 7, n: 6}? 35/286 Calculate prob of sequence ixk when three letters picked without replacement from ilhlxhihklxhlll. 2/1365 Three letters picked without replacement from {s: 5, h: 2}. Give prob of sequence ssh. 4/21 Four letters picked without replacement from {c: 1, b: 2, e: 2, w: 1, n: 2}. Give prob of sequence ncen. 1/420 Calculate prob of sequence orc when three letters picked without replacement from ccovurq. 1/105 What is prob of sequence iipp when four letters picked without replacement from piiipiipip? 1/14 What is prob of sequence ggg when three letters picked without replacement from {g: 3, h: 7}? 1/120 Four letters picked without replacement from {d: 5, s: 5}. Give prob of sequence sdss. 5/84 Four letters picked without replacement from sapml. Give prob of sequence aslp. 1/120 Calculate prob of sequence juj when three letters picked without replacement from {j: 3, u: 4, i: 1}. 1/14 Two letters picked without replacement from rjrfhttrft. What is prob of sequence hj? 1/90 What is prob of sequence iwi when three letters picked without replacement from {i: 2, e: 2, w: 2}? 1/30 Two letters picked without replacement from stsshmsmtssss. What is prob of sequence sh? 2/39 What is prob of sequence mu when two letters picked without replacement from mukuuueuemuu? 7/66 Two letters picked without replacement from {s: 2, o: 2, r: 2, v: 4}. What is prob of sequence os? 2/45 Three letters picked without replacement from pbpjbpbmbmpbj. Give prob of sequence mjm. 1/429 Calculate prob of sequence sfl when three letters picked without replacement from {l: 3, f: 3, c: 3, s: 1}. 1/80 Calculate prob of sequence wfwf when four letters picked without replacement from {f: 4, w: 2, m: 7, y: 1}. 1/1001 What is prob of sequence vn when two letters picked without replacement from {n: 1, v: 2}? 1/3 What is prob of sequence syb when three letters picked without replacement from {b: 1, y: 3, p: 4, j: 4, r: 2, s: 1}? 1/910 What is prob of sequence bebb when four letters picked without replacement from {b: 5, e: 5, v: 4}? 25/2002 Calculate prob of sequence bnb when three letters picked without replacement from {n: 2, b: 6}. 5/28 Calculate prob of sequence hbi when three letters picked without replacement from bhibbhbi. 1/21 Two letters picked without replacement from {q: 3, r: 4, p: 6, t: 4}. What is prob of sequence rt? 1/17 Four letters picked without replacement from {q: 7, u: 7, v: 5}. Give prob of sequence quuq. 49/2584 Calculate prob of sequence mm when two letters picked without replacement from mmkkmkk. 1/7 What is prob of sequence rrr when three letters picked without replacement from {g: 4, r: 10}? 30/91 Four letters picked without replacement from {g: 1, d: 1, f: 1, u: 1, q: 3, t: 5}. Give prob of sequence fqtd. 1/792 What is prob of sequence em when two letters picked without replacement from {q: 2, e: 3, m: 1, s: 5, a: 1}? 1/44 Four letters picked without replacement from {x: 1, a: 6, o: 1, r: 1, p: 3}. What is prob of sequence rppp? 1/1980 Two letters picked without replacement from {u: 2, s: 1}. Give prob of sequence us. 1/3 Two letters picked without replacement from qqqbbbbqqq. What is prob of sequence qb? 4/15 What is prob of sequence tkpk when four letters picked without replacement from {p: 7, t: 4, k: 7}? 49/3060 Two letters picked without replacement from {m: 1, i: 1, f: 1, h: 1, v: 1}. Give prob of sequence hf. 1/20 Calculate prob of sequence vvxx when four letters picked without replacement from {v: 2, x: 2}. 1/6 What is prob of sequence su when two letters picked without replacement from {n: 2, c: 1, z: 2, u: 1, y: 1, s: 1}? 1/56 Three letters picked without replacement from wqvqqqqqqw. What is prob of sequence vqw? 7/360 Three letters picked without replacement from {v: 1, e: 2, b: 1, t: 4, o: 3}. Give prob of sequence ttt. 4/165 Calculate prob of sequence kg when two letters picked without replacement from {o: 1, r: 1, z: 1, k: 1, g: 1}. 1/20 Three letters picked without replacement from {g: 2, c: 4, r: 1}. Give prob of sequence grc. 4/105 Two letters picked without replacement from {t: 1, c: 2, d: 3, x: 2, h: 1, n: 3}. What is prob of sequence nd? 3/44 Two letters picked without replacement from loblllbbbbblob. What is prob of sequence bl?
{ "pile_set_name": "DM Mathematics" }
105*l + 3 Let b(g) be the third derivative of 1/10*g**5 + 17*g**2 + 0*g**4 + 0*g**3 + 0 + 0*g. Let c(w) = 2*w. Give c(b(k)). 12*k**2 Let p(w) be the first derivative of w**5/30 + 2*w**2 + 9. Let u(z) be the second derivative of p(z). Let o(y) = 3 - 11*y**2 - 3. What is u(o(c))? 242*c**4 Let t(z) = 56*z**2. Let v(g) = 740*g**2. What is t(v(a))? 30665600*a**4 Let v(z) = 72*z**2 - 1. Let u(j) be the third derivative of -j**4/12 - j**2 + 3. Give u(v(y)). -144*y**2 + 2 Let p(d) = -427055*d. Let a(o) = -2*o**2. Calculate p(a(n)). 854110*n**2 Let f(q) = -51*q. Let c(a) = -5*a**2 + a + 19. Give f(c(r)). 255*r**2 - 51*r - 969 Let f(j) be the second derivative of j**4/8 - 13*j**2/2 - 13*j. Let v(y) be the first derivative of f(y). Let t(z) = 15*z. What is t(v(d))? 45*d Let y(b) = -3*b. Let z(v) = -5*v. Let x(d) = -7*y(d) + 4*z(d). Let n(f) = 300*f. Give x(n(k)). 300*k Let t(k) = -k. Let y(m) be the second derivative of -38*m + 11/3*m**3 + 0 + 0*m**2. Determine t(y(c)). -22*c Let p(t) = -t**2 + 15*t. Let o be p(15). Let x(m) = o*m**2 - m**2 + 0*m**2 + 3*m**2. Let b(r) = 11*r**2. What is x(b(l))? 242*l**4 Let k(j) = j**2. Let q(w) be the first derivative of -2*w - 6 + 5/2*w**2. Let m(c) = -66*c + 27. Let f(b) = -4*m(b) - 54*q(b). Determine f(k(n)). -6*n**2 Let m(c) = -2625*c. Let z(a) = a**2 + 11*a. Determine z(m(o)). 6890625*o**2 - 28875*o Let d(j) be the second derivative of -1/3*j**3 - 4*j + 0*j**2 + 0. Let q(u) be the first derivative of -8*u**3/3 + 1. Give q(d(m)). -32*m**2 Let j(u) = u**2 - 3*u - 13. Let a be j(6). Suppose a*z - 9 = 2*z. Let w(b) = z*b - 4*b - 6*b + 6*b. Let p(s) = 17*s**2. Give p(w(g)). 17*g**2 Let l(w) = 14*w - 3. Let q(z) = 19*z - 4. Let a(p) = 4*l(p) - 3*q(p). Let o(n) = 39*n**2 + 4*n. Determine o(a(u)). 39*u**2 - 4*u Let q(u) = 88 - 3*u**2 - 140 + 52. Let y(s) = 17*s. Determine q(y(n)). -867*n**2 Let a be 1/(-4) - 98/(-8). Let t(o) = a*o - 1 + 1. Let q(w) be the first derivative of -w**3/3 + 366. What is q(t(n))? -144*n**2 Let z(p) = -3*p. Let g(m) be the third derivative of 3*m**5/20 + 6*m**2 + 2. Determine z(g(r)). -27*r**2 Let t(l) = 3503*l**2 + 6. Let y(n) = 13*n. Give y(t(d)). 45539*d**2 + 78 Let w(o) be the second derivative of -o**5/20 - o**4/12 + 43*o**2/2 - 5*o. Let q be w(0). Let y(u) = 41*u**2 - q*u**2 - u + u. Let a(g) = -2*g**2. Give y(a(n)). -8*n**4 Let z(i) = 285*i**2. Let x(p) be the first derivative of 2*p**3/3 + 252. Give x(z(n)). 162450*n**4 Let v(l) = -5*l - 3. Let s(t) = 11*t + 7. Suppose c + 14 = 7. Let f(y) = c*v(y) - 3*s(y). Let g(j) = -11*j**2. Determine g(f(a)). -44*a**2 Let p(m) = 5*m - 1. Let f(g) = 29*g - 6. Let n(k) = f(k) - 6*p(k). Let v(a) = -216*a**2 - 4. Calculate n(v(w)). 216*w**2 + 4 Let v(d) = -36*d + 1. Let c(b) = -4*b**2 + 3*b - 3. Let x(a) = 28*a**2 - 20*a + 20. Let r(g) = 20*c(g) + 3*x(g). Give v(r(l)). -144*l**2 + 1 Let n(g) = 94*g + 6. Let p(r) = 2728*r + 176. Let b(y) = 88*n(y) - 3*p(y). Let u(q) = -q**2. Give u(b(a)). -7744*a**2 Let k(y) = -167*y. Let b(r) = 71*r**2 - 34*r**2 - 36*r**2. Calculate b(k(x)). 27889*x**2 Let s(h) = -9*h**2. Let v(m) = -1044*m. Determine s(v(t)). -9809424*t**2 Let d(l) = -43244*l - 1. Let k(w) = 35*w. Calculate d(k(t)). -1513540*t - 1 Let j(m) = -11*m. Let k(r) = 5*r**2 + 5*r - 5. Let i(b) = -2*b**2 - 3*b + 3. Let y(v) = 5*i(v) + 3*k(v). Calculate j(y(u)). -55*u**2 Suppose 7 = 5*a + 4*q, 5*a - 8*a - 5*q - 1 = 0. Let z(h) = -6*h + a*h + 6*h. Let y(s) be the second derivative of -7*s**3/6 - 2*s. Calculate y(z(m)). -21*m Let z(u) be the third derivative of u**5/12 + 510*u**2. Let p(q) = 2*q**2 - 3. Calculate z(p(b)). 20*b**4 - 60*b**2 + 45 Let x(b) = -2*b**2. Let t(y) = -266*y**2 - 28*y. Let n(z) = 2*z**2 - z. Let c(f) = -28*n(f) + t(f). Calculate x(c(k)). -207368*k**4 Let m(w) = 2*w**2 - 420. Let h(i) = 16*i + 4. Calculate m(h(l)). 512*l**2 + 256*l - 388 Let t(y) = 284*y - 11*y**2 - 284*y + 6*y**2 + 7*y**2. Let l(h) = -83*h**2 + 6. Let w(m) = 82*m**2 - 7. Let f(j) = -7*l(j) - 6*w(j). Give f(t(a)). 356*a**4 Let f(j) = -48*j - 1. Let w(n) = 98*n + 2. Let k(g) = -2*f(g) - w(g). Let m(z) = -z - 1. Let d(l) = 66*l + 55. Let x(i) = 2*d(i) + 110*m(i). Calculate k(x(s)). -44*s Let s(f) be the third derivative of f**6/90 + f**3/6 - f**2. Let u(b) be the first derivative of s(b). Let l(n) = -n + 3*n - 2*n + 2*n. Calculate u(l(a)). 16*a**2 Let z(d) = 8*d + 1. Let q(y) be the second derivative of -y**4/6 + 2*y - 63. What is q(z(n))? -128*n**2 - 32*n - 2 Let s(m) = -129*m**2. Let r(a) be the third derivative of -a**4/12 + 8*a**2. What is r(s(g))? 258*g**2 Let q(u) = 2*u + 5. Let d(r) = -3*r - 8. Let j(f) = -5*d(f) - 8*q(f). Let o(p) = 16*p. Determine j(o(t)). -16*t Let g(y) = 3133*y + 5. Let o(b) = 5*b. Give g(o(a)). 15665*a + 5 Let p(c) be the second derivative of 2/3*c**3 + 0*c**2 + 4*c + 0. Let a(v) be the first derivative of -v**2 - 2. Give a(p(q)). -8*q Let v(k) = 64*k + 88. Let s(w) = -9*w - 12. Let p(f) = -44*s(f) - 6*v(f). Let h(z) = -38*z**2. What is p(h(c))? -456*c**2 Let q(c) = 353*c + 2. Let u(g) = -3*g**2 - 4. Give u(q(x)). -373827*x**2 - 4236*x - 16 Let a(o) be the third derivative of o**6/144 + 17*o**4/24 + 17*o**2. Let p(z) be the second derivative of a(z). Let q(h) = 9*h**2. What is q(p(v))? 225*v**2 Let n be (2/1)/(3/6). Suppose -22 = -p - n*u, -4*p - 5*u = p - 35. Let d(o) = 0*o**2 + 0*o**p - 7*o**2 - o**2. Let z(t) = -2*t. Calculate d(z(f)). -32*f**2 Let a(n) = -16864 + 16864 - 2*n. Let i(p) = -99*p. Determine a(i(f)). 198*f Let w(r) = -3*r**2 - 3 + 3. Suppose -q - 4*f = -24, -2*q + q - f + 9 = 0. Let j(p) = 29 - 29 + 2*p + q*p. Give w(j(s)). -108*s**2 Let v(y) = 4*y**2 - y + 1. Let x be v(1). Suppose x*k + 13 = u, -7*k + 6*k = 4*u - 18. Let a(o) = o + 3*o - u*o. Let c(t) = 3*t**2. Determine c(a(m)). 3*m**2 Let b(r) = 37 - r - r - 33. Let y(o) = -6*o + 11. Let k(m) = 11*b(m) - 4*y(m). Let z(g) = -13*g. What is z(k(n))? -26*n Let h(n) = -4*n + 11*n + 6*n - 8*n. Let t(j) = 2*j - 9. Calculate h(t(u)). 10*u - 45 Let a(s) be the first derivative of 2*s**3/3 - 1. Let v(p) = -5*p**2 + 20*p - 80. Let t(n) = -n + 4. Let l(d) = 20*t(d) + v(d). What is l(a(x))? -20*x**4 Let l(p) be the third derivative of p**5/30 - p**2. Suppose -z - 63 = -8*z. Let o(a) = 0*a - 8*a + 15*a - z*a. Give l(o(g)). 8*g**2 Let j(c) = c**2. Suppose 0*k + 2*k - 6 = 0. Let g(z) = z**2. Let v(t) = k*g(t) - 2*j(t). Let n(x) = 3*x**2 - 16 + 25 - 9. Calculate v(n(s)). 9*s**4 Let f(m) = -20*m**2. Let d(n) = 610*n. Give d(f(k)). -12200*k**2 Let d(r) = r**2 + 12*r + 12. Let y(x) = -2*x**2 - 22*x - 22. Let h(v) = -11*d(v) - 6*y(v). Let w(u) = 23*u**2 - 3*u. Give w(h(j)). 23*j**4 - 3*j**2 Let z(i) = -7*i**2. Suppose -3*v + 3*f + 6 = 0, -4*v + 5*f + 8 = -2. Let r(d) = v*d - 20 - d + 20. What is r(z(n))? 7*n**2 Let s(c) = -c**2 - 1705. Let v(r) = -63*r. Calculate s(v(b)). -3969*b**2 - 1705 Let h(m) = 1368 - 455 + 17*m - 456 - 457 - 2*m**2. Let d(b) = 5*b**2. What is d(h(v))? 20*v**4 - 340*v**3 + 1445*v**2 Let y(k) = -3*k - 149. Let o(j) = j - 13. What is y(o(s))? -3*s - 110 Let o(t) be the second derivative of -3*t + 1/3*t**3 + 0*t**2 + 0. Let w(k) = -6*k**2. Calculate o(w(z)). -12*z**2 Let m(p) = 19*p**2 + 36*p. Let a(d) = 39*d**2 + 84*d. Let o(n) = -3*a(n) + 7*m(n). Let y(z) = -5*z**2 - 2. Give y(o(r)). -1280*r**4 - 2 Suppose 3*b - 8 = -b. Let k(j) = -2*j + b*j + 78*j**2. Let l(x) = -x. What is k(l(d))? 78*d**2 Let l(s) = 108*s**2 - s. Let v(g) be the third derivative of g**4/24 - 2*g**2 - 93. What is l(v(z))? 108*z**2 - z Let t(y) = -y**2. Let i(c) be the third derivative of -7*c**6/180 - 13*c**4/12 - 2*c**2. Let n(h) be the second derivative of i(h). Calculate n(t(v)). 28*v**2 Let a(o) = 82 - 20*o + 51*o + 9 - 30*o. Let i(u) = 2*u**2. Give a(i(f)). 2*f**2 + 91 Let y(n) = 89*n**2. Let m(k) = -2*k**2 - 3*k + 529. Determine m(y(q)). -15842*q**4 - 267*q**2 + 529 Let s(w) be the third derivative of 7*w**5/60 - 329*w**2. Let m(r) = 14*r**2. What is s(m(a))? 1372*a**4 Let b(h) = 2*h - 4. Let r(a) = -4*a + 7. Let w(u) = 7*b(u) + 4*r(u). Let m(c) = -c - 1. Let q(k) = 21*k + 14. Let f(t) = -42*m(t) - 3*q(t). Determine w(f(j)). 42*j Let q(p) = 49 - 10*p + 4*p - 49. Let g(t) be the first derivative of 0*t**2 + 1/3*t**3 - 1 + 0*t. Calculate q(g(h)). -6*h**2 Let p(i) = -20*i**2. Let z(d) = 5*d + 8*d - 1
{ "pile_set_name": "DM Mathematics" }
, -8068, -0.5? 1/7 Which is the second smallest value? (a) -1746 (b) 1/2 (c) 0 (d) -5 (e) 2/7 (f) -32 f Which is the third smallest value? (a) -1 (b) -380 (c) 5 (d) 4 (e) -898 a Which is the second smallest value? (a) -4246/3 (b) 0.3 (c) 3685 b What is the biggest value in 2, 5650, -0.4, 0.5, 31/3? 5650 What is the third biggest value in 8, -4/3, -2, 1/4045, 0? 0 What is the fifth biggest value in -5/6, 0.11, -0.4, 0.6, 8.18, 0.16? -0.4 What is the smallest value in -0.1, -0.1148, 4, -0.3, 0.1, -0.128? -0.3 What is the fourth biggest value in -0.3, 5, -0.2, -1/2, -0.24, 1164, 3/7? -0.2 Which is the third biggest value? (a) -4 (b) 0.1 (c) -65.6333 c Which is the biggest value? (a) -0.4 (b) 2/13 (c) 2/3 (d) -1/5 (e) -152 (f) -68 c Which is the smallest value? (a) -1.364 (b) -0.5 (c) 3667 a Which is the smallest value? (a) 5 (b) -445 (c) 93.8 b Which is the fourth smallest value? (a) 41 (b) -60 (c) -2/11 (d) -3/4 (e) 3 e Which is the sixth smallest value? (a) 6 (b) -5 (c) 2/1215 (d) -0.5 (e) -0.2 (f) -3/7 (g) -4 c Which is the biggest value? (a) 5695475 (b) 2/11 (c) 0.4 a What is the second smallest value in 1/2, 3.6, -1/6, -3.8, 1/4, 0.1? -1/6 What is the fourth biggest value in 17.2, -6, -0.4, -76/11? -76/11 What is the second biggest value in -18294, 2/9, 6/13? 2/9 What is the seventh biggest value in -0.1047, 2, 11, -4, 4, -3, 298? -4 Which is the fifth biggest value? (a) -2.2 (b) 1/12 (c) -1 (d) -95/6 (e) -0.2 (f) -2/3 a What is the biggest value in -1.7, -3, 3627, -21? 3627 What is the second biggest value in 44, 0.5, -10, 75, 1/14, -0.02? 44 What is the third biggest value in -2/7, 66287511, 0.4? -2/7 Which is the second smallest value? (a) -2.14 (b) 0.0495 (c) 20 (d) 56 b What is the second biggest value in -8/5, -131, -290, 5? -8/5 What is the fifth smallest value in -1/6, -2/167, -0.03, 13/3, -1/2? 13/3 Which is the smallest value? (a) -1 (b) -8 (c) -48/229 (d) -7/2 b Which is the biggest value? (a) 78 (b) -23 (c) 51 (d) 0.17 (e) 4 a Which is the sixth biggest value? (a) 1.58 (b) 112 (c) -56 (d) 0.1 (e) -0.5 (f) 4 c What is the second biggest value in 1/4, 4, -919.2? 1/4 Which is the biggest value? (a) -67 (b) 0.3 (c) -0.04 (d) -0.11 (e) 2/23 (f) 1/5 (g) -0.5 b What is the biggest value in 0.49, -2, 1, -337, -5, -149, 5? 5 Which is the third smallest value? (a) -1/3 (b) -12 (c) 894 (d) 3 (e) 0.3 (f) -5/8 (g) -0.5 g What is the smallest value in 0.15, -2.2, 114, 23? -2.2 What is the biggest value in -3, 5, -1, 194, 5899.7? 5899.7 What is the fifth biggest value in -0.1, 0.5, -4/11, 13/2, -14, 1, 0? -0.1 What is the fourth smallest value in 5, 10, 49, -12, -23/3, 0.3, 4? 4 Which is the fifth biggest value? (a) -1.266 (b) 1.419 (c) 4 (d) -1/3 (e) -2 e Which is the fifth biggest value? (a) -2/11 (b) 29 (c) 0 (d) -2/10391 (e) 1 a Which is the third smallest value? (a) -8 (b) -3 (c) 620286 c What is the second smallest value in 1, -1/5, 3078319, -1/3? -1/5 Which is the biggest value? (a) -66/7 (b) -3 (c) 7/122 (d) -1/6 (e) 10/7 (f) 2/5 (g) 3 g Which is the third smallest value? (a) 1/303 (b) -3/2 (c) -3445/17 a Which is the second smallest value? (a) -0.07 (b) 3 (c) 1 (d) -3 (e) -1 (f) 24869 e What is the smallest value in 2/3, 45, -37.56, 9.1? -37.56 Which is the third biggest value? (a) -2.3 (b) 10/17 (c) -25 (d) 3/7 a Which is the fifth smallest value? (a) 0.5 (b) 1 (c) -95 (d) -0.2 (e) 140855 e What is the third smallest value in -0.1, -1403, -1, 174/7? -0.1 What is the smallest value in -0.2, 5.32, 127, -3? -3 Which is the second smallest value? (a) -107911 (b) 2 (c) -0.23 c What is the third smallest value in 1/39598650, 2/13, 2? 2 Which is the second biggest value? (a) -0.12 (b) -12 (c) -10/3 (d) 3 (e) 46 (f) -2/19 d Which is the fourth smallest value? (a) -1/14 (b) 1/10 (c) 5 (d) -45/11 (e) 6 c What is the fourth smallest value in 4, -465, -0.118, 84? 84 What is the third smallest value in -0.2, 0, -5, 0.2, 38, -0.144, 1/7? -0.144 Which is the second biggest value? (a) 1 (b) -2 (c) -15.9 (d) -203 b What is the fourth smallest value in -369, 0, -0.11, -2129? 0 Which is the second biggest value? (a) -99.27 (b) -2/93 (c) -2 c Which is the fourth biggest value? (a) 0 (b) -22 (c) -1 (d) 5 (e) 3/4 (f) 17 (g) 0.2 g Which is the third biggest value? (a) 4 (b) 0 (c) 2 (d) -203.2858 b Which is the fifth biggest value? (a) -4305 (b) 0 (c) -22 (d) 0.5 (e) 32 a Which is the third smallest value? (a) -3/52 (b) 3 (c) -2/789 (d) 5 b Which is the fifth smallest value? (a) 2 (b) -70 (c) -2/15 (d) 8 (e) 3 (f) 0.4 (g) 1/8 a What is the biggest value in 0.1, -586, 4.84? 4.84 Which is the second biggest value? (a) -2403/1313 (b) 1/6 (c) 0.6 b What is the biggest value in 0, -2/9, 20, -190, -0.5, 3/421, 1? 20 Which is the third biggest value? (a) 12/7 (b) 0 (c) 38 (d) 8893/2 a Which is the smallest value? (a) -9 (b) -0.1 (c) 129 (d) -28/9 (e) 3/5 (f) 2 a What is the sixth smallest value in -1, 2/9, 11, 5, -93, 0.5, 0.25? 5 What is the fifth biggest value in -39, -0.3, -1/4, 2, -100? -100 Which is the sixth smallest value? (a) -2 (b) 0.5 (c) 6/19 (d) 6.8 (e) 2/19 (f) 5/23 d Which is the fourth smallest value? (a) -5/4 (b) 0.29 (c) -1 (d) 3/5 (e) -2/81 (f) -2 (g) -1/3 g Which is the second smallest value? (a) -61239 (b) -2/11 (c) 52 b What is the third smallest value in 1/5, 280249, 3? 280249 Which is the biggest value? (a) 291 (b) 5/3 (c) 1.756 a Which is the smallest value? (a) -0.14 (b) -2267 (c) -3670 (d) -3 c What is the fourth biggest value in -2, -0.9, 0, 3/4, -5, 1/20? -0.9 Which is the fifth smallest value? (a) 4 (b) 0 (c) 216 (d) 0.37 (e) -5/14 (f) -0.4 a What is the third biggest value in 3/7, -5, 2, 0.4, -1/4786, 3/16? 0.4 What is the second biggest value in -0.326, -0.1, 24444? -0.1 What is the biggest value in -2/7, -6, 1, 0.9, 12/31? 1 Which is the second smallest value? (a) -620962 (b) 12 (c) -5 c Which is the third smallest value? (a) -20.2722 (b) 3 (c) 5 c What is the fourth smallest value in 0.1, 5, 1/5, -4568, -1/7, 4/7? 1/5 What is the fifth smallest value in 1/7, -1, 8996790, 0.3, -1/4, 1, -0.2? 0.3 What is the third smallest value in 10, 85, -2/5, -12, 3/2, 2.214? 3/2 Which is the smallest value? (a) 0.3 (b) 32 (c) 13 (d) -7387 (e) 1 d Which is the biggest value? (a) 2/57 (b) -10220 (c) -0.4 a Which is the second smallest value? (a) -5 (b) 3 (c) 13780/2411 b What is the fourth biggest value in -210, 124, -5, -0.4? -210 Which is the biggest value? (a) 2385 (b) 37 (c) -0.49 (d) -8 a What is the third smallest value in -0.1, 26/51, 52, -19/2, -0.07? -0.07 Which is the second smallest value? (a) 0.12 (b) -358320 (c) 0.2 a What is the fourth biggest value in 3/5, -42, -501, 54? -501 Which is the second smallest value? (a) -2 (b) 0.2 (c) -23 (d) -5 (e) 421 d What is the fourth biggest value in -16/9, -38090, 1, -5? -38090 What is the biggest value in -103, -0.3, -1/291, -2/1695? -2/1695 Which is the second smallest value? (a) -7 (b) 1183/4 (c) 1 (d) -0.5 (e) 36 d What is the second smallest value in 1/2, 28/155, 3/1204, -0.4, -5, -1/17? -0.4 What is the smallest value in -2.9, -1, -2, 11/128? -2.9 Which is the fourth biggest value? (a) -0.51 (b) -1.2 (c) 2 (d) 3/4 (e) 4 (f) -0.0598 f Which is the fifth biggest value? (a) -8 (b) -15 (c) -208 (d) 6 (e) 5/2 c Which is the fourth smallest value? (a) 2/11 (b) -0.08 (c) -2/9 (d) -4 (e) 23 (f) 1658/3 a What is the fifth biggest value in -10, 5/3, 6, 12, 3, 7/2, 4/7? 5/3 What is the biggest value in -3, 660, -0.4, -14, -235? 660 What is the third biggest value in 2851, 0.16, 5/2, 0.9? 0.9 Which is the third smallest value? (a) -2/11 (b) -11754/131 (c) -4 a What is the second biggest value in -119/14571, 20, 2, 0.2? 2 Which is the second smallest value? (a) -2 (b) -0.1 (c) 207382 (d) -3 a Which is the third smallest value? (a) -0.09 (b) -0.6 (c) -0.2 (d) 21 (e) -0.9 (f) 3.5 c What is the second smallest value in -1, -6376, 183? -1 What is the second biggest value in 9/10, 1/406, -2/3, 1/3, -1.5, -26? 1/3 Which is the biggest v
{ "pile_set_name": "DM Mathematics" }
j = -53.42 + -0.58. Let d = j + 53. Which is the nearest to d? (a) 2/13 (b) -0.3 (c) 1/7 b Let k = -845 + 822. Let x = 23.015 - 0.015. Let j = k + x. Which is the nearest to 0.3? (a) -1 (b) 0.5 (c) j b Let b = 21.017 + -0.017. Let a = b + -20.7. What is the closest to -0.1 in a, 2, 2/3? a Let p = -18.5 - -18. Let t = p + -0.4. Let d = t + 5.9. Which is the closest to 0? (a) d (b) -2 (c) 4 b Let t = -20961.4 + 20961. Let y = 1 - 1.02. Which is the nearest to 2? (a) t (b) -3 (c) y c Let b = 50 - 50.19. Let p = -0.39 - b. What is the nearest to 3 in 5, p, -2? 5 Let g(o) = -52*o - 624. Let j be g(-12). Let k = 2 - 4. Let d = k + 5. What is the nearest to j in 0.5, -0.06, d? -0.06 Let l = 7 - 3. Let x = 22 + -22.23. Let q = -0.23 - x. Which is the nearest to -0.1? (a) q (b) 2 (c) l a Let f = 143/36 - 15/4. Which is the closest to -1? (a) -0.5 (b) 1 (c) -6 (d) f a Let w = 17.1 + -20.1. What is the closest to -3 in -5, 2/15, 6, w? w Let b = -2471 + 2471.1. What is the closest to b in -5, -0.2, -0.1, 0.07? 0.07 Let i = -0.135 + 3.135. Which is the closest to -1? (a) -1/18 (b) i (c) -0.4 (d) 0.5 c Let t = 22 - 22.6. Let r = -5/8 - -41/40. What is the closest to 0 in -4, r, t? r Let q = 5.5 - 6. Suppose 9*k + 24 + 12 = 0. Which is the nearest to -0.1? (a) q (b) k (c) 1 a Let w = 3.3 + -10.2. Let r = 6.4 + w. What is the closest to 0 in r, -0.3, 10? -0.3 Let x = -929/2 - -464. Which is the nearest to -2? (a) 1/5 (b) 1 (c) x c Let h = -1.9 + 3.9. Let v = 13 - 8. Which is the closest to h? (a) -4 (b) v (c) 10 b Let q = 24 - 29. Let m be (q - 42)/(2/6). Let s = m + 427/3. Which is the closest to 0? (a) -3/2 (b) s (c) 0.5 c Let m = 47/10 + -9/2. Which is the closest to 1? (a) m (b) 0.5 (c) -0.07 b Let z = -1.12 - -3.12. Let g = -1.5 + 1.1. Let s = 45/14 - 26/7. Which is the closest to z? (a) g (b) 1 (c) s b Let o be 1 - (306/27 - 10). Let w(r) = r**3 + 2*r**2 - 3*r - 1. Let d be w(-2). Which is the closest to -2? (a) o (b) -4 (c) d a Let u be 8/6 + (-11)/((-33)/(-10)). What is the nearest to u in -0.64, -0.3, 3? -0.64 Let k = 0.3183 - 0.0183. What is the closest to 1 in k, 15, 0.04? k Let h = 100 + -190. Let d = h + 86. What is the nearest to -1/3 in d, 0.4, -8? 0.4 Let w = -52/3 + 293/15. Which is the closest to 1? (a) w (b) -1/4 (c) 2/5 c Let v = 132 + -85.9. Let o = 46 - v. Let u = -3 - -3.5. Which is the nearest to o? (a) u (b) 5 (c) 0 c Let l = -6 - -9. Let p(o) = -o**2 + 4*o + 26. Let r be p(7). Suppose -r*w + 4*w - 24 = -5*d, 2*d + 12 = -5*w. What is the closest to 2/7 in w, -1/4, l? -1/4 Let l be 3/3*(3 - -1). Let s = -21.12 + 19.12. What is the nearest to s in l, -0.4, -2/17? -0.4 Let w = -38.4 - -38.8. What is the nearest to -1/6 in w, -0.5, -3? -0.5 Let o be 0 - 4/10 - (-224)/735. Let n = o + 3/7. What is the nearest to -11 in -0.5, n, -2/5? -0.5 Let r = -1 - -5/7. Let x = -11.7 + 12. Let d = 43 + -173/4. Which is the nearest to r? (a) x (b) d (c) 5 b Let p be 4/(12/9) + (-16)/8. Suppose 6*z + p = 7. Let i be 1/(-1)*7 - -2. What is the closest to 1/4 in z, i, 0.3? 0.3 Let y = -5442 - -5441.6. Let i(n) = -n - 2. Let u be i(-2). Which is the closest to 1? (a) y (b) u (c) -5 b Let o be 16/24*(-1)/2. What is the nearest to o in -3, 10, 2? 2 Let f(n) = -n**2 + 6*n - 11. Let d be f(5). Let r = -0.189 - -2.189. Which is the nearest to r? (a) -1/3 (b) d (c) -4 a Let j(s) = s**2 + 7*s + 13. Let g be j(-5). What is the closest to 1 in g, -0.06, -4? -0.06 Let q be -2*(6/4 + 6/(-3)). What is the closest to 0.3 in 0.1, -4, q, -1/4? 0.1 Suppose 4*s - 5 = 3. Let v be (4*(s + -1))/2. Let y = -54 - -58. What is the closest to -2/7 in v, y, -0.3? -0.3 Let x = 223 + -2005/9. What is the closest to 2/3 in -3/7, x, 1/4, -0.1? 1/4 Let y = 4.07 - 4.5. Let m = -0.33 - y. Which is the nearest to 2/5? (a) 1/2 (b) m (c) 0 a Let v be (-88)/(-270) + (-52)/(-702). What is the closest to v in 3, 1/19, 2/17? 2/17 Suppose -10 = 2*k - 2*i + 8, -5*k - i = 39. Let x be (-2)/k - 9/12. Let n be 42/40 - (-144)/(-180). What is the nearest to x in 5, n, 3? n Let r = 313 - 312. Let m = 7 - 6.4. Which is the nearest to r? (a) 1 (b) m (c) 0 a Let p = -0.43 + -0.07. Let f = -3.5 + p. Let l = 2.8 - 3. Which is the closest to -0.1? (a) 1/3 (b) l (c) f b Let g be (1 - 0) + 25 - 10/(-5). Suppose -2*z = 4*s - g, 2*s - z = -0 + 6. Which is the closest to 0.1? (a) 1/7 (b) s (c) -1 a Let y = -5.28 + 5.08. What is the closest to -1 in -3/2, y, -1, 2/11? -1 Suppose 0 = -4*o + 12. Suppose -i + 3*z = 0, -1 + 7 = 2*i - o*z. Suppose -i*f + v = -2*f - 12, -4*f = v - 4. What is the closest to 1/3 in -1, f, 0.5? 0.5 Let f = 289/77 - 25/7. What is the nearest to 0 in 9, 1/4, f? f Let d = -11.74 + 11.7. What is the nearest to -2 in d, -5, 2? d Let h = 0.49 - 4.49. Which is the closest to 2/5? (a) -4/5 (b) h (c) 5 a Let i be (1 + 1)*3/18. Let d = -3.5 + 3.33. Let q = d - -0.37. What is the closest to i in -0.4, 0.1, q? q Suppose -5*v = -u + 95, -46*u + 44*u + 82 = -4*v. What is the closest to -0.3 in 0.1, v, -0.1? -0.1 Let i = -9 + 13. What is the closest to 2/7 in i, -0.1, -1? -0.1 Let w = 0.88 - 35.88. Let k = -34 - w. What is the nearest to -2 in -0.1, k, 1/2? -0.1 Let s be (-2 - 221/(-102))*(1 + 1). Let p be ((-2)/20)/(2/4). Which is the nearest to p? (a) s (b) 1 (c) 0.5 a Let f = 537 + -539. Suppose -k - 4*k - 3*i + 7 = 0, 5*k = -5*i + 5. Suppose -2*h - k*h = 12. Which is the nearest to -1? (a) h (b) 5 (c) f c Let o = 36.82 - 35. Let r = 4.18 + -4. Let q = o + r. Which is the closest to 0? (a) -0.2 (b) q (c) 3 a Suppose 0*p = -5*p + 10. Let v = 0.9 - -0.1. Which is the closest to -3? (a) 1/8 (b) p (c) v a Let a = -0.05 - 0.35. Let w = 0.5 + -1.1. Let j = -0.5 - w. What is the closest to j in a, 2/15, -0.3? 2/15 Suppose -273*q + 277*q + 20 = 0. Let j = 1.6 + -2. Let l = j + 2.4. What is the nearest to -2 in l, 5, q? q Let x = 7 + -6.7. Let p = -13 + 13.5. Let y = x - p. Which is the closest to y? (a) 1/10 (b) -1/6 (c) 0 b Let m = 2.03 - 11.73. Let j = -10 - m. Let g = 0.5 - 0. What is the closest to -1 in g, j, 3? j Let x = -2.09 - -0.09. Let s = 4.03 - 1.03. Which is the closest to 2? (a) x (b) s (c) -5 b Let s = 197 + -1377/7. Which is the nearest to -0.1? (a) 4 (b) 1 (c) s c Let r = -8 - -5. Let i = -456.1 + 456. What is the closest to i in 3/5, 0.5, r? 0.5 Let t = -6.1 - -6. Let k = 112.1 - 112. Let n = 0 - 3. Which is the closest to k? (a) -2 (b) n (c) t c Let q(l) = -l**2 + 9*l - 19. Let i be q(6). Which is the nearest to 0? (a) i (b) -7/5 (c) 4 (d) 5 a Let h be 4/(-18) + (-40)/(-18). Let y be 2/34 + (-1272)/(-9010). What is the nearest to y in -2, h, 3? h Let j be 0 - ((-250)/80 + 3). Suppose n = -0*n + 2*k + 6, -4*n = 2*k + 6. Which is the nearest to 1? (a) n (b) j (c) -1 b Let x = 7 + -4. Let a = 3431 - 10292/3. What is the nearest to a in x, -0.3, -4/7? -0.3 Let f = 337 - 336.9. What is the nearest to f in -22, 1/3, -2/5? 1/3 Let j = -0.07 - -0.47. Let o = -0.42 - -0.02. Let v = -0.4 - o. What is the closest to 1 in j, v, 1? 1 Let x(s) = -38*s + 221. Let c be x(6). Let t(w) = -w**2 - 5*w - 3. Let i be t(-3). What is the closest to 0.1 in c, i, -0.5? -0.5 Let c = -2.99 - 0.01. Let n = 4.6 - 0.6. Let p = n - 3. What is the nearest to p in 0.3, 0.4, c? 0.4 Let z = 3 + -3. Let q be ((-2)/10)/(14/35). Suppose -4*x - 4*l = 28, -5*l - 3 - 2 = -5*x. What is the closest to q in -5/3, x, z? z Let q = 11/5 - 3. What is the closest to -0.8 in -0.1, q, -2? q Let h = -0.414 + 0.404. Which is the closest to -0.1? (a) 2/9 (b) 1 (c) -2 (d) h d Let i(o) = o**2 + 13*o + 13. Let k be i(-12). What is the nearest to 2/9 in -4, k, 3? k Let r be ((-17)/958)/((-707)/1118407). Let q = 2/48379 + r. Let u = 57/2 - q. Which is the closest to 2? (a) 2/7 (b) 1 (c) u b Let y be (-2)/(-8) - (-2)/(-4). Let p = -217.46 - -215. Let v = p - -0.46. Which is the nearest to -2/3? (a) v (b) 0.4 (c) y c Let i = -166 - -173. What is the nearest to -1 in -0.2, -0.1, i? -0.2 Let i = -36 + 30. Let t be -1*4 + (5 - i/(-5)). Which is the nearest to 0.09? (a) 1/5 (b) 2/9 (c) t a Let l = 187 - 115. Let s(p) = -p**3 - 2*p**2 - 3*p. Let g be s(-2). Let f be 1 - g/(l/20). What is the closest to -1 in 0.1, 3/5, f? f Suppose 16*h
{ "pile_set_name": "DM Mathematics" }
rs of 32450? 2, 5, 11, 59 List the prime factors of 11571. 3, 7, 19, 29 What are the prime factors of 1251? 3, 139 What are the prime factors of 148259? 37, 4007 What are the prime factors of 2397? 3, 17, 47 List the prime factors of 75367. 75367 What are the prime factors of 148055? 5, 29611 What are the prime factors of 1590? 2, 3, 5, 53 List the prime factors of 3365. 5, 673 What are the prime factors of 358? 2, 179 What are the prime factors of 1156? 2, 17 List the prime factors of 1446. 2, 3, 241 List the prime factors of 6513. 3, 13, 167 What are the prime factors of 48939? 3, 11, 1483 List the prime factors of 19488. 2, 3, 7, 29 What are the prime factors of 8956? 2, 2239 What are the prime factors of 9629? 9629 List the prime factors of 8607. 3, 19, 151 List the prime factors of 5995. 5, 11, 109 What are the prime factors of 17026? 2, 8513 List the prime factors of 67531. 67531 List the prime factors of 2219. 7, 317 List the prime factors of 7632. 2, 3, 53 List the prime factors of 5591. 5591 What are the prime factors of 112? 2, 7 What are the prime factors of 508? 2, 127 What are the prime factors of 44050? 2, 5, 881 List the prime factors of 3595. 5, 719 What are the prime factors of 51268? 2, 7, 1831 List the prime factors of 9294. 2, 3, 1549 List the prime factors of 10136. 2, 7, 181 List the prime factors of 3741. 3, 29, 43 List the prime factors of 17063. 113, 151 List the prime factors of 33412. 2, 8353 What are the prime factors of 3106? 2, 1553 What are the prime factors of 9389? 41, 229 What are the prime factors of 2306? 2, 1153 List the prime factors of 10399. 10399 What are the prime factors of 40682? 2, 20341 What are the prime factors of 35781? 3, 11927 What are the prime factors of 22850? 2, 5, 457 List the prime factors of 9221. 9221 List the prime factors of 15706. 2, 7853 List the prime factors of 31626. 2, 3, 7, 251 What are the prime factors of 1628? 2, 11, 37 List the prime factors of 3513. 3, 1171 List the prime factors of 49987. 7, 37, 193 What are the prime factors of 3759? 3, 7, 179 What are the prime factors of 14681? 53, 277 List the prime factors of 80675. 5, 7, 461 List the prime factors of 47629. 47629 List the prime factors of 2152. 2, 269 List the prime factors of 4962. 2, 3, 827 List the prime factors of 8237. 8237 What are the prime factors of 87? 3, 29 What are the prime factors of 14089? 73, 193 What are the prime factors of 1981? 7, 283 List the prime factors of 983. 983 List the prime factors of 32776. 2, 17, 241 List the prime factors of 100963. 17, 5939 List the prime factors of 24988. 2, 6247 What are the prime factors of 46187? 46187 List the prime factors of 6432. 2, 3, 67 List the prime factors of 987. 3, 7, 47 List the prime factors of 2782. 2, 13, 107 What are the prime factors of 8701? 7, 11, 113 List the prime factors of 442. 2, 13, 17 List the prime factors of 366. 2, 3, 61 List the prime factors of 38906. 2, 7, 397 What are the prime factors of 838? 2, 419 What are the prime factors of 859? 859 What are the prime factors of 54083? 54083 List the prime factors of 117766. 2, 11, 53, 101 List the prime factors of 2808. 2, 3, 13 What are the prime factors of 11138? 2, 5569 What are the prime factors of 32137? 7, 4591 List the prime factors of 9506. 2, 7, 97 List the prime factors of 41052. 2, 3, 11, 311 What are the prime factors of 3263? 13, 251 List the prime factors of 1752. 2, 3, 73 What are the prime factors of 105877? 239, 443 List the prime factors of 7148. 2, 1787 What are the prime factors of 87343? 19, 4597 What are the prime factors of 856? 2, 107 List the prime factors of 25928. 2, 7, 463 What are the prime factors of 8287? 8287 What are the prime factors of 31855? 5, 23, 277 What are the prime factors of 176147? 353, 499 What are the prime factors of 153? 3, 17 What are the prime factors of 150950? 2, 5, 3019 List the prime factors of 791. 7, 113 List the prime factors of 1037. 17, 61 List the prime factors of 3138. 2, 3, 523 What are the prime factors of 10143? 3, 7, 23 List the prime factors of 3147. 3, 1049 What are the prime factors of 584? 2, 73 What are the prime factors of 2325? 3, 5, 31 List the prime factors of 2275. 5, 7, 13 What are the prime factors of 50880? 2, 3, 5, 53 List the prime factors of 4320. 2, 3, 5 What are the prime factors of 27852? 2, 3, 11, 211 List the prime factors of 537. 3, 179 What are the prime factors of 111864? 2, 3, 59, 79 List the prime factors of 20536. 2, 17, 151 List the prime factors of 7257. 3, 41, 59 What are the prime factors of 8217? 3, 11, 83 List the prime factors of 567. 3, 7 List the prime factors of 89625. 3, 5, 239 What are the prime factors of 3609? 3, 401 What are the prime factors of 2630? 2, 5, 263 List the prime factors of 12908. 2, 7, 461 List the prime factors of 1366. 2, 683 List the prime factors of 28616. 2, 7, 73 What are the prime factors of 89713? 13, 67, 103 What are the prime factors of 195? 3, 5, 13 What are the prime factors of 673? 673 List the prime factors of 3364. 2, 29 List the prime factors of 62063. 53, 1171 What are the prime factors of 15624? 2, 3, 7, 31 What are the prime factors of 3042? 2, 3, 13 What are the prime factors of 29379? 3, 7, 1399 What are the prime factors of 19729? 109, 181 What are the prime factors of 739? 739 List the prime factors of 3738. 2, 3, 7, 89 List the prime factors of 25623. 3, 13, 73 What are the prime factors of 414? 2, 3, 23 List the prime factors of 4846. 2, 2423 What are the prime factors of 1605? 3, 5, 107 List the prime factors of 779. 19, 41 List the prime factors of 33185. 5, 6637 List the prime factors of 636. 2, 3, 53 List the prime factors of 48229. 17, 2837 What are the prime factors of 71250? 2, 3, 5, 19 What are the prime factors of 1065? 3, 5, 71 List the prime factors of 1091. 1091 List the prime factors of 863. 863 What are the prime factors of 26763? 3, 11, 811 List the prime factors of 25715. 5, 37, 139 What are the prime factors of 1392? 2, 3, 29 What are the prime factors of 1875? 3, 5 List the prime factors of 1617. 3, 7, 11 List the prime factors of 26486. 2, 17, 19, 41 List the prime factors of 70821. 3, 43, 61 List the prime factors of 192446. 2, 96223 List the prime factors of 2503. 2503 List the prime factors of 7078. 2, 3539 List the prime factors of 4. 2 List the prime factors of 1753. 1753 List the prime factors of 90870. 2, 3, 5, 13, 233 What are the prime factors of 20834? 2, 11, 947 List the prime factors of 2689. 2689 What are the prime factors of 14? 2, 7 List the prime factors of 3637. 3637 List the prime factors of 43572. 2, 3, 3631 List the prime factors of 899. 29, 31 List the prime factors of 1691. 19, 89 List the prime factors of 6339. 3, 2113 What are the prime factors of 2770? 2, 5, 277 What are the prime factors of 3624? 2, 3, 151 List the prime factors of 7161. 3, 7, 11, 31 What are the prime factors of 113742? 2, 3, 71, 89 List the prime factors of 2591. 2591 What are the prime factors of 312? 2, 3, 13 List the prime factors of 636. 2, 3, 53 List the prime factors of 22848. 2, 3, 7, 17 What are the prime factors of 61346? 2, 37, 829 What are the prime factors of 21091? 7, 23, 131 List the prime factors of 1300. 2, 5, 13 What are the prime factors of 10853? 10853 List the prime factors of 316. 2, 79 List the prime factors of 2907. 3, 17, 19 What are the prime factors of 7265? 5, 1453 What are the prime factors of 1168? 2, 73 List the prime factors of 2510. 2, 5, 251 List the prime factors of 11982. 2, 3, 1997 What are the prime factors of 77154? 2, 3, 7, 11, 167 What are the prime factors of 138497? 138497 List the prime factors of 153333. 3, 631 List the prime factors of 217. 7, 31 What are the prime factors of 2527? 7, 19 What are the prime factors of 147031? 147031 What are the prime factors of 6365? 5, 19, 67 List the prime factors of 3258. 2, 3, 181 List the prime factors of 270. 2, 3, 5 What are the prime factors of 30195? 3, 5, 11, 61 List the prime factors of 2395. 5, 479 List the prime factors of 19859. 7, 2837 List the prime factors of 314. 2, 157 List the prime factors of 860. 2, 5, 43 What are the prime factors of 631? 631 What are the prime factors of 697? 17, 41 What are the prime factors of 4729? 4729 Lis
{ "pile_set_name": "DM Mathematics" }
+ 23 = -5*l, -l = -d - 1. Put l, -1, w in descending order. w, -1, l Suppose -571 = 3*x + 56. Sort -5, -3, x in decreasing order. -3, -5, x Let k be 43/(-9) - (-2 + -3). Sort 0.1, 0.06, -3/2, k in decreasing order. k, 0.1, 0.06, -3/2 Suppose 0 = 2*d - 0*b - b + 4, -2*b = -2*d - 6. Let t be ((-5)/(-30))/(-2 - d). Sort t, 0.09, -0.4. -0.4, t, 0.09 Suppose 5*y = 2*y. Suppose -2*j - 4 + 12 = y. Sort -6, 1, j in decreasing order. j, 1, -6 Let b = 13 - 6. Suppose 5*h + 8 + b = 0. Let n = 4 + h. Sort 4, n, -2 in decreasing order. 4, n, -2 Let j = 217 + -220. Sort j, -5, 13 in decreasing order. 13, j, -5 Let w = -0.23 + 0.85. Let i = -1.12 + w. Let l = 1.1 - 0.1. Sort l, -1, i in descending order. l, i, -1 Let p = 1.027 - -0.973. Sort p, -3, 4/7, -1 in descending order. p, 4/7, -1, -3 Let f = 7 + -7. Let b be 0 - ((-1)/((-3)/(-6)) + f). Suppose -3*x + 0*x - 12 = 0. Sort x, -1, b in ascending order. x, -1, b Let o = 648 + -651. Put 1/3, -0.1, o in decreasing order. 1/3, -0.1, o Let c = -5 - -3. Suppose 0 = -5*t - i - 0*i - 5, 3 = -3*t + 4*i. Put c, t, -3 in decreasing order. t, c, -3 Suppose 0 = -13*b - 29*b - 1344. Put 2, b, -3, -4 in decreasing order. 2, -3, -4, b Let l be -2 + 1/(-7)*-12. Let g be 10/30 - (42/34)/3. Let i = g + 7/17. Sort i, l, -0.2 in descending order. i, -0.2, l Let o = -54/11 - -475/99. Suppose s = 5*p + 7, 3*s = -5*p + 3 - 22. Sort p, 0.3, o in descending order. 0.3, o, p Let j = 671 - 675. Let u be (6/8)/((-5)/20). Sort -2/9, j, u in descending order. -2/9, u, j Let u = 6 + -6.12. Let l = u + 9.12. Let q = l + -9.2. Sort q, 4, -1/14 in decreasing order. 4, -1/14, q Suppose 7*w = 2*w + 75. Suppose -w = -4*q + 17. Let v be ((-12)/(-16))/(2/q). Put 5, -4, v in ascending order. -4, v, 5 Let n = 281 + -278. Sort 5, n, -1, -4 in descending order. 5, n, -1, -4 Let c be (-34)/(-12) - (-8 - -3 - -8). Sort -2/3, c, -9. -9, -2/3, c Let p = 446917/53634 - -92/1277. Let j = p - 17/2. Sort 3, j, -0.5 in decreasing order. 3, j, -0.5 Let r be (-6)/21 + 46/14. Suppose -d + 2 = k - 5*d, -6 = -r*k - 3*d. Suppose 9*a = 10*a + k. Sort a, 1/7, 2 in decreasing order. 2, 1/7, a Let h = 2.7 + -21.7. Let i = -18.5 - h. Sort -2/3, i, -10 in descending order. i, -2/3, -10 Let z be (-76)/190 + 23/(-5). Suppose 5*c = 2*y - 130, 7*y - 2*y - 145 = 5*c. Put z, c, -3, 4 in increasing order. c, z, -3, 4 Let x = 1527 + -1526. Put -2/5, 17, x, 0.1 in descending order. 17, x, 0.1, -2/5 Let x = -237 + 241. Sort x, -4, 15 in descending order. 15, x, -4 Suppose -4*x + 36 = -12. Let a = x - 13. Suppose -4*k + 2 = -4*y - 2*k, 4*k - 11 = y. Sort a, 8, y in ascending order. a, y, 8 Suppose -5*w = -4*m - 25 + 106, 0 = w + 5*m - 7. Sort -2, w, 4 in increasing order. w, -2, 4 Let z = 15.1 + -15. Let j = -42 - -39. Sort -16, j, z in increasing order. -16, j, z Let b be (0 + 2 - 3)/(19/(-2356)). Let c = b - 125. Put 0, 31, c in decreasing order. 31, 0, c Let i(r) = -r**2 + 12*r + 11. Let x be i(16). Put -1, x, 4 in decreasing order. 4, -1, x Let w be (-1)/((-84)/(-146)) - -1. Let j = 433/6006 + -2/3003. Let r = j + w. Put 1/3, r, -1/3 in increasing order. r, -1/3, 1/3 Let p be (-4)/18 + 68/(-18). Let c be (2 - 4 - -2) + -1. Suppose -l - 5*y - 12 = 3*l, 2*y + 8 = 0. Sort l, c, p in decreasing order. l, c, p Suppose 4*l = -2*l - 0*l. Put 1, -1/12, l in decreasing order. 1, l, -1/12 Let o = -0.11 - 4.89. Let v = o - -4.6. Sort -5, -0.07, v in ascending order. -5, v, -0.07 Let j = -139 + 75. Let p = 63.6 + j. Let a = 0.2 - -0.3. Sort -1, p, a. -1, p, a Let c = -1.497 + 1.56. Let m = c + 1.937. Let h = -97/280 - 3/56. Sort -2, m, h in decreasing order. m, h, -2 Let g = 16 + -13. Suppose s - 2 = 3*x + g, -x = -5*s - 17. Let a be 2/(s - (3 + -5)). Put 1, a, -3 in descending order. 1, a, -3 Let t = 7 + -7.1. Let w = -8 - -4.1. Let x = w + t. Sort x, 4/9, -0.1. x, -0.1, 4/9 Suppose -8 = -9*w + 28. Let k = -0.82 + -0.08. Let v = 0.6 + k. Put 2, w, v in decreasing order. w, 2, v Let o = 84.135 - 0.135. Let q = o - 84. Sort -3/4, -2, q. -2, -3/4, q Let h = -2 + 1.6. Let u = 317 + -6021/19. Let b = -1150/7 - -164. Put u, h, b in descending order. u, b, h Let l = 38 + -38. Suppose l*q = -q - 6. Put q, -1, 2 in increasing order. q, -1, 2 Let s = 1121/1925 - 3/275. Put -6, -1/2, -24, s in increasing order. -24, -6, -1/2, s Suppose 0 = -r + 5*v + 20, r = -5*v + 2 - 12. Let c = 98 + -97. Put c, 13, r in increasing order. c, r, 13 Let t be (-2)/(-15) - (-438)/90. Suppose 0*x - x - 3 = 0. Let w(q) = -2*q - 6. Let n be w(-5). Put x, n, t in descending order. t, n, x Let n = 91 - 95. Sort -16, 8, n in descending order. 8, n, -16 Let t = -18 - -19. Let r(l) = 2*l**3 - 3*l**2 + l + 1. Let s be r(t). Sort s, -9, -1 in descending order. s, -1, -9 Let z = 13 + -94. Put z, -3, -4 in increasing order. z, -4, -3 Let o = 0.96 + -1. Let c = 3.225 + -0.245. Let j = c + 0.02. Sort j, o, 4 in increasing order. o, j, 4 Let c(t) = t**3 - 26*t**2 - 28*t + 29. Suppose -5*j = -2*p + 79, 8*p - 155 = 3*p + 4*j. Let r be c(p). Put r, -1, 0, 5 in ascending order. -1, 0, r, 5 Let a = 19.983 - -0.017. Let i = 18 - a. Let u = i - -7. Sort 3, 3/7, u in increasing order. 3/7, 3, u Suppose 1 = 3*g - 11. Let i(v) = 2*v**2 + 8*v + 6. Let p be i(-3). Put 5, p, g in decreasing order. 5, g, p Suppose 12 - 13 = -y + 2*d, -3*y + 5*d = -4. Suppose -4*u - g = -2*u + 6, -3*u = -2*g + 23. Sort u, -2, y. u, -2, y Let b = -8 - -2. Let i be ((-4)/b)/(15/(-9)). Let h = -132 - -133. Sort 3/2, h, i in ascending order. i, h, 3/2 Let t = -535 - -537. Let k be 2/(-1) + 2 + 0. Suppose k = y - 5*y + 20. Put t, y, -3 in descending order. y, t, -3 Let d(g) = -g**2 - 4*g + 1. Let j be d(-3). Let y = 42 + -32. Let f(s) = -5*s + 47. Let a be f(y). Put 5, j, a in decreasing order. 5, j, a Let h = 3.6 - 3. Let f = -5055 + 5058. Sort f, h, -0.2, 4 in decreasing order. 4, f, h, -0.2 Let p = -39 - -36. Let z be 6/(3 - (p + 1)) + -1. Sort z, -6/7, -2/19. -6/7, -2/19, z Let h = 3 + -2.9. Let y be ((-25)/30)/((-40)/15 + 2). Sort -0.1, y, h in decreasing order. y, h, -0.1 Let w = -8 + 7.5. Let x = w + 2.5. Let f = 4 - 9. Sort f, 3, x. f, x, 3 Let j(z) = -39*z + 83. Let h be j(2). Sort 51, h, 0, -3 in increasing order. -3, 0, h, 51 Suppose 0*r + 27 = -9*r. Let u = -0.9 + 1. Let b = u - -0.3. Put r, b, 2/15 in increasing order. r, 2/15, b Let y(q) = 10*q + 531. Let x be y(-57). Sort -3, -5, x, 4 in descending order. 4, -3, -5, x Suppose -62*g = -71*g + 36. Put 2, g, 3, -4 in decreasing order. g, 3, 2, -4 Let v be -5 - -1 - (186/(-33) + 4). Let t = 100/33 + v. Sort 4/3, 2/9, -3, t in decreasing order. 4/3, t, 2/9, -3 Let w = -5.12 - -10. Let f = w - -0.12. Let v = -2.3 - -2. Sort f, v, 2. v, 2, f Let r be -2*-2*3/(-18). Let t = -146.5 + 147. Put r, t, -9 in descending order. t, r, -9 Let z = 5/46 + -14/23. Sort 0.29, 0, z, 1/7 in decreasing order. 0.29, 1/7, 0, z Let j = -67 + 29. Let m = j + 77. Let i = m + -38.9. Sort -1/5, i, -5 in ascending order. -5, -1/5, i Suppose 0*k = -5*f - 2*k + 14, -4*f + k + 19 = 0. Suppose 0 = 4*r - 4*y - 28, 0 = -3*y + 1 - 13. Sort f, r, 5, -1. -1, r, f, 5 Suppose -2*f = 3*f - 25. Suppose -f*h + 78 = 53. Sort 4, 1, h in descending order. h, 4, 1 Let z be 3/(-27)*-3*6. Let i be 8/7 - (-8)/(-56). Put -4, i, z in descending order. z, i, -4 Let n = 1623 + -1627. Put n, -1, 1.4, 0 in descending order. 1.4, 0, -1, n Let g = 933/7 + -133. Let u = -1.746 + 0.746. Sort u, 0.08, g. u, 0.08, g Let u = 50.8 - 51. Sort u, -7, -0.3, 5 in descending order. 5, u, -0.3, -7 Suppose -12 = -7*c + 3*c. Suppose 4*m + h = 13, 3*m = -c*h + 7 + 14. Let v = -5.5 - -5. Sort v, m, -4. -4, v, m Let z = -21 - -30. Let t = -1.91 + -0.09. Let c = t + z. Sort -0.5, c, 0.3. -0.5, 0.3, c Let k(u) = -u**3 + 9*u**2 - 5*u - 4. Let f be k(8). Let p = f + -23. Let a = p - 0. Put a, 2, 5 in decreasing order. 5, 2, a Suppose 0 = 12*r + 22*r - 170. Sort 8, -5, r, -1 in increasing order. -5, -1, r, 8 Let v = 0.4 + -0.7. Let q(j) = 0*j**2 - 5*j - j**2 - 5 - 4 - j**2. Let h be q(-3). Sort v, h, -3. h, -3, v Let n = 3 - 1. Suppose 6*x + 22 = 28. Suppose 5*s - 5*l + 5 = -l, -s - n*l = x. Put -1/4, s, 1 in increasing order. s, -1/4, 1 Let h(s) = -s**3 + 35*s**2 + 35*s + 37. Let d be h(36). Put -111, d, -1 in descending order. d, -1, -111 Suppose 0 = -3*v - 5*u + 34, 4*v + 4 =
{ "pile_set_name": "DM Mathematics" }
(-4). -7 Let w(l) = 14*l - 100. What is w(6)? -16 Let v(y) = -6*y + 16. Give v(6). -20 Let c(p) = p**3 + 29*p**2 + 29*p - 18. What is c(-28)? -46 Let w(f) = -6*f**3 - f. Determine w(-1). 7 Let z(c) = -c**2 + 6*c - 5. Determine z(5). 0 Let d(a) = -a**2 - 6*a + 19. Calculate d(-8). 3 Let b(a) = 2*a**2 + 15*a - 67. Determine b(3). -4 Let a(p) = p**2 + 3*p - 2. Determine a(-3). -2 Let k(m) = -m**3 - 7*m**2 + 5*m - 4. Determine k(-8). 20 Let m(f) = -8*f + 3. Determine m(5). -37 Let y(d) = -d**3 - d**2 - d + 4. What is y(-2)? 10 Let i(l) = -3*l**3 + 39*l**2 - 3*l + 24. Give i(13). -15 Let h(z) = -4*z**3 + 3*z - 2. What is h(1)? -3 Let g(x) = 7*x + 23. Determine g(-4). -5 Let a(n) = 137*n + 665. Determine a(-5). -20 Let x(h) = -29*h + 23. Calculate x(1). -6 Let w(y) = -6*y**3 + y**2 - y - 1. Determine w(-1). 7 Let p(v) = -v**3 + 13*v**2 + 33*v - 28. Determine p(15). 17 Let d(t) = t**2 + 13*t + 32. Give d(-3). 2 Let r(m) = -17*m - 782. Determine r(-46). 0 Let d(y) = y - 21. Give d(0). -21 Let q(j) = 16*j + 224. What is q(-13)? 16 Let b(j) = -3*j**2 - 28*j + 149. Determine b(-13). 6 Let x(j) = j**2 - 9*j + 15. Determine x(8). 7 Let y(n) = -2*n**2 - 7*n + 45. What is y(4)? -15 Let u(w) = -w + 1. Give u(-7). 8 Let x(l) = -l**2 - 12*l + 40. Calculate x(-15). -5 Let u(z) = 2*z**3 + 7*z**2 - 17*z - 25. Determine u(-4). 27 Let f(w) = -w**3 - 13*w**2 + w + 3. What is f(-13)? -10 Let g(l) = 2*l + 5. What is g(3)? 11 Let u(k) = 4*k + 14. Calculate u(-7). -14 Let j(m) = -m + 9. Calculate j(6). 3 Let u(c) = 55*c - 540. What is u(10)? 10 Let u(j) = 3*j - 64. Determine u(19). -7 Let f(a) = -a**2 - 3*a + 4. What is f(-2)? 6 Let s(c) = -c**3 + 12*c**2 - 17*c + 28. What is s(10)? 58 Let n(p) = -4*p - 2. What is n(-4)? 14 Let u(q) = -9*q - 26. Give u(0). -26 Let z(b) = 6*b**2 - 3*b + 2. Determine z(1). 5 Let x(h) = -h**3 + 10*h**2 + 13*h - 10. Calculate x(11). 12 Let f(g) = -6*g - 3. Give f(-9). 51 Let x(n) = 50*n**2 + 4*n + 2. Calculate x(-1). 48 Let f(h) = -11*h**2 - 5*h + 23. Calculate f(3). -91 Let z(m) = -3*m. What is z(5)? -15 Let h(a) = 4*a - 22. What is h(7)? 6 Let g(q) = q**2 + 4*q + 7. Determine g(-3). 4 Let d(u) = u**2 - 33*u + 199. Determine d(24). -17 Let r(i) = -i - 4. Determine r(0). -4 Let a(l) = -176*l + 526. Determine a(3). -2 Let q(y) = -2*y - 31. What is q(-5)? -21 Let w(u) = u**2 - 8*u + 20. Give w(6). 8 Let v(d) = d**2 + 10*d - 24. Calculate v(-12). 0 Let i(j) = 33*j + 237. What is i(-7)? 6 Let x(p) = -21*p - 238. Calculate x(-11). -7 Let h(j) = -30*j - 2. Determine h(0). -2 Let n(p) = -3*p**2 - 68*p + 6. What is n(-24)? -90 Let h(m) = -m**3 - 9*m**2. What is h(-9)? 0 Let p(x) = -2*x**3 - 5*x**2 - 3*x + 10. Give p(-3). 28 Let o(k) = k**2 - 11*k + 8. Give o(11). 8 Let n(s) = 3*s - 28. Calculate n(13). 11 Let v(q) = q**2 - 9*q + 22. Determine v(4). 2 Let z(q) = -4*q. What is z(4)? -16 Let z(s) = s**3 - 11*s**2 - 8*s - 26. Determine z(12). 22 Let t(u) = 2*u**2 + 7*u + 3. Give t(-7). 52 Let n(z) = z**2 + 11*z + 8. Determine n(-5). -22 Let f(n) = -n**2 + n + 69. Give f(9). -3 Let n(z) = z**3 - 5*z**2 - z + 5. Calculate n(4). -15 Let j(h) = 23*h**2 - h + 1. Give j(1). 23 Let a(w) = -22*w - 94. Determine a(-4). -6 Let q(y) = -y**3 + 10*y**2 - 7*y - 6. Calculate q(9). 12 Let t(b) = -72*b + 360. Determine t(5). 0 Let v(h) = -h + 15. Give v(21). -6 Let k(d) = -d**3 + d**2 + 3*d - 9. Determine k(5). -94 Let u(s) = -2*s**3 + 4*s**2 - 4*s - 4. Calculate u(4). -84 Let s(d) = -16*d**2 - 4*d + 3. Determine s(1). -17 Let q(y) = -2*y + 21. What is q(-18)? 57 Let v(u) = u**2 - 11*u + 6. Determine v(8). -18 Let b(l) = -8*l - 166. Determine b(-20). -6 Let u(f) = -f**2 + 16*f + 163. What is u(23)? 2 Let i(l) = l**3 + 11*l**2 + 12*l + 22. Determine i(-10). 2 Let z(x) = 45*x + 475. Determine z(-11). -20 Let h(i) = -2*i**3 - 3*i**2 - 2*i - 1. What is h(-3)? 32 Let n(o) = 2*o**2 + 33*o + 61. Give n(-16). 45 Let b(o) = -o**2 + 4*o + 25. Give b(7). 4 Let g(w) = w**2 + 14*w - 14. What is g(-15)? 1 Let c(m) = -7*m**3 + 7*m - 2. What is c(3)? -170 Let d(i) = -4*i**2 - 3*i + 3. Determine d(-3). -24 Let t(v) = v**3 - 5*v**2 - 3. Give t(5). -3 Let y(o) = -7*o - 41. Determine y(-5). -6 Let i(n) = 3*n + 4. Determine i(-7). -17 Let a(h) = h**3 + 9*h**2 - 9*h + 7. Give a(-10). -3 Let d(p) = -9*p - 10. Determine d(-4). 26 Let d(o) = 22*o + 12. Calculate d(-1). -10 Let c(g) = g**3 + 27*g**2 + 184*g + 26. Calculate c(-14). -2 Let w(b) = -b - 23. Give w(-13). -10 Let k(y) = -y**2 + 9*y - 6. What is k(7)? 8 Let t(l) = -l**2 - 10*l + 16. Determine t(-11). 5 Let y(r) = -r**2 - 116*r - 665. Calculate y(-6). -5 Let q(c) = c**3 - 7*c**2 + 8*c - 3. Give q(4). -19 Let i(a) = 20*a + 107. Determine i(-6). -13 Let a(s) = s**2 + 9*s + 11. Calculate a(-6). -7 Let d(q) = 4*q - 39. What is d(21)? 45 Let n(d) = -d**3 - 16*d**2 + 15*d - 37. Determine n(-17). -3 Let g(l) = l**2 - 6*l - 11. Determine g(7). -4 Let o(s) = -2*s**3 + 12*s**2 + 3*s + 2. Calculate o(6). 20 Let c(j) = 2*j + 3. What is c(0)? 3 Let z(a) = -a**3 + 7*a**2 + 2*a + 1. Give z(5). 61 Let d(x) = x**3 - 2*x**2 + 4*x - 2. What is d(2)? 6 Let u(d) = -d**2 + 10*d + 43. What is u(14)? -13 Let u(j) = -8*j - 49. Give u(10). -129 Let u(y) = -y**2 - 16*y - 11. Calculate u(-10). 49 Let a(q) = -2*q**2 - 1. Give a(-1). -3 Let j(m) = -m**3 + 6*m**2 - 3. Give j(6). -3 Let f(j) = -3*j**3 + 16*j**2 + 8*j + 20. Calculate f(6). -4 Let p(l) = -2*l**3 + 6*l**2 - l + 2. Determine p(4). -34 Let z(n) = 5*n**2 - 3. Give z(-1). 2 Let x(v) = -2*v + 23. Determine x(9). 5 Let o(z) = 3*z - 2. Calculate o(-8). -26 Let g(i) = -i**3 + 6*i**2 + 8*i - 3. Give g(7). 4 Let k(x) = -24*x**3 + x**2 + 4*x + 3. Calculate k(-1). 24 Let u(c) = -3*c + 1. Give u(6). -17 Let l(u) = -49*u**2 + 4*u - 4. Give l(1). -49 Let g(i) = -i**2 + 11*i - 25. Calculate g(3). -1 Let p(x) = -x**3 - 20*x**2 - 22*x - 63. Determine p(-19). -6 Let s(l) = -l**3 + 11*l**2 - l + 11. Calculate s(11). 0 Let d(v) = v**3 + 22*v**2 + 23*v + 32. What is d(-21)? -10 Let g(d) = -d**3 - 6*d**2 + 4*d - 2. Determine g(-7). 19 Let m(g) = -14*g - 4. Calculate m(-1). 10 Let w(r) = -3*r + 11. What is w(-10)? 41 Let c(l) = l**3 + 15*l**2 + 16*l + 33. What is c(-14)? 5 Let s(v) = 5*v + 80. Calculate s(-12). 20 Let u(t) = -t**3 - 11*t**2 - 12*t + 2. Give u(-9). -52 Let o(r) = 53*r - 107. Calculate o(2). -1 Let s(r) = -r**3 - 10*r**2 - 10*r + 7. Calculate s(-9). 16 Let o(i) = -4*i - 21. What is o(-5)? -1 Let o(c) = 4*c**2 + 16*c + 16. Determine o(-4). 16 Let u(r) = -r**3 + 2*r**2 + 3. Give u(2). 3 Let n(z) = 4*z**3 + 3*z**2 + z + 2. Give n(-2). -20 Let a(o) = 9*o - 30. Determine a(2). -12 Let a(p) = p**2 - 7*p - 6. Calculate a(9). 12 Let x(h) = h**3 + 4*h - 6. Calculate x(0). -6 Let y(l) = -116*l + 1048. What is y(9)? 4 Let s(r) = -r**3 + 12*r**2 - 10*r - 5. Determine s(11). 6 Let l(p) = p**2 - 5*p - 59. Calculate l(-6). 7 Let r(j) = j**3 + 4*j**2 - 9*j - 3. What is r(4)? 89 Let w(g) = -2*g + 32. Give w(12). 8 Let s(f) = -5*f**2 - 3*f - 5. Calculate s(-1). -7 Let f(l) = 53*l + 414. Give f(-8). -10 Let m(q) = q + 19. What is m(-13)? 6 Let k(f) = 2*f**2 - 10*f - 2. Determine k(7). 26 Let k(b) = -b**3 - 5*b**2 - 12*b - 12. Determine k(-3). 6 Let t(p) = -p**2 - 4*p + 80. What is t(-10)? 20 Let p(n) = -103*n + 70. What is p(1)? -33 Let v(l) = -l**3 + 10*l**2 - 45*l + 442. What is v(10)? -8 Let d(q) = q**2 - 18*q + 51. What is d(12)? -21 Let x(r) = -r - 51. What is x(9)? -60 Let w(o) = o**2 - 7*o - 3. What is w(8)? 5 Let w(c) = c**3 - 6*c**2 - 4. What is w(5)? -29 Let s(z) = z**2 + 7*z - 17. What is s(3)? 13 Let u(l) = -l**2 - 2*l - 1. Give u(-3). -4 Let w(f) = f**3 - 6*f**2 - 7*f + 4. Give w(7). 4 Let m(t) = -2*t - 1. Give m(13). -27 Let k(y) = -y**3 - 8*y**2 - 9*y + 17. What is k(-6)? -1 Let w(b) = -b - 20. Calculate w(-5). -15 Let h(g) = -g**3 - 2*g**2 + 22*g + 7. What is h(4)? -1 Let l(p) = -2*p**3 + 7*p**2 + 2*p - 10. Give l(3). 5 Let d(b) = b**3 - 21*b**2 - 22*b + 32. What is d(22)? 32 Let d(m) = 8*m**3 + m**2 - 2*m + 1. Determine d(1). 8 Let h(t) = -t**2 - 11*t - 15. Give h(-8). 9 Let x(i) = -6*i - 22. Calculate x(-6). 14 Let c(q) = 9*q**3 + 2*q - 1. Determine c(1). 10 Let w(l) = l**2 - 3*l - 2. What is w(-2)? 8 Let m(x) = 9*x + 31. Calculate m(-4). -5 Let u(y) = 8*y - 4. Determine u(5). 36 Let k(j) = 106*j - 21. Give k
{ "pile_set_name": "DM Mathematics" }
203)*(3*u + 1)**3/3 Factor 5*q**2 + 980*q - 1980. 5*(q - 2)*(q + 198) Factor 3*t**2/4 - 75*t/2 + 1875/4. 3*(t - 25)**2/4 Determine j so that -35*j**4 - 445*j**3 - 990*j**2 - 380*j + 200 = 0. -10, -2, -1, 2/7 Solve -36*x**4 + 136*x**3 + 212*x**2 + 40*x = 0. -1, -2/9, 0, 5 What is a in -5*a**5 - 245*a**4 - 2255*a**3 + 20145*a**2 + 16200*a - 174960 = 0? -27, -3, 4 Factor 2*q**3 - 26*q**2 + 60*q. 2*q*(q - 10)*(q - 3) Factor -2*j**2/3 + 40*j + 122/3. -2*(j - 61)*(j + 1)/3 Let -2*t**3/7 + 3968*t**2/7 - 1972090*t/7 + 3928324/7 = 0. What is t? 2, 991 Factor f**3 + 108*f**2 + 2916*f. f*(f + 54)**2 Factor 3*g**3 - 48*g**2 + 153*g - 108. 3*(g - 12)*(g - 3)*(g - 1) Find b, given that 4*b**3/7 - 12*b**2/7 - 40*b = 0. -7, 0, 10 Factor -10*y**3 - 875*y**2 + 2240*y - 900. -5*(y - 2)*(y + 90)*(2*y - 1) Factor -a**3/3 - 8*a**2/3 + 19*a/3 - 10/3. -(a - 1)**2*(a + 10)/3 Suppose -i**4 + 30*i**3 + 7*i**2 - 204*i - 180 = 0. What is i? -2, -1, 3, 30 Solve -5*s**4 + 45*s**3 - 35*s**2 - 45*s + 40 = 0 for s. -1, 1, 8 Let -2*t**4/9 + 14*t**3/9 - 16*t**2/9 - 56*t/9 + 32/3 = 0. What is t? -2, 2, 3, 4 What is v in -14*v**3/9 - 74*v**2/9 - 104*v/9 - 8/3 = 0? -3, -2, -2/7 Factor p**5/3 - 2*p**4 + 8*p**3/3 + 2*p**2 - 3*p. p*(p - 3)**2*(p - 1)*(p + 1)/3 Factor p**2/5 - 68*p/5 + 67/5. (p - 67)*(p - 1)/5 Determine z so that -5*z**5/2 - 5*z**4 + 25*z**3/2 + 25*z**2 - 10*z - 20 = 0. -2, -1, 1, 2 Find l such that -3*l**3 + 24*l**2 + 117*l - 810 = 0. -6, 5, 9 Factor -2*l**5/7 + 8*l**4/7 + 46*l**3/7 - 76*l**2/7 - 440*l/7 - 400/7. -2*(l - 5)**2*(l + 2)**3/7 Let 5*m**5 - 55*m**4 - 485*m**3 - 425*m**2 = 0. Calculate m. -5, -1, 0, 17 Factor -8*i**3 + 10*i**2 + 1054*i - 264. -2*(i - 12)*(i + 11)*(4*i - 1) Factor 2*d**3/5 + 18*d**2/5 + 6*d + 14/5. 2*(d + 1)**2*(d + 7)/5 Factor -2*z**2/13 + 688*z/13 - 59168/13. -2*(z - 172)**2/13 Determine j so that -5*j**2 - 2690*j - 361805 = 0. -269 Determine j, given that j**4/11 + 6*j**3/11 - 32*j/11 = 0. -4, 0, 2 Factor g**5/4 - 4*g**3 + 4*g**2 + 12*g - 16. (g - 2)**3*(g + 2)*(g + 4)/4 Factor -21*i**3 - 81*i**2 + 36*i + 96. -3*(i + 1)*(i + 4)*(7*i - 8) Factor -h**4 - 93*h**3 - 2883*h**2 - 29791*h. -h*(h + 31)**3 Factor -v**2/6 + 347*v/3 - 120409/6. -(v - 347)**2/6 What is j in -j**4/4 - 17*j**3/4 + j**2/4 + 17*j/4 = 0? -17, -1, 0, 1 Find r such that 5*r**2 + 165*r + 700 = 0. -28, -5 Suppose 2*a**4 + 64*a**3 + 668*a**2 + 2496*a + 3042 = 0. Calculate a. -13, -3 Determine n so that -25*n**4 - 140*n**3 - 65*n**2 + 50*n = 0. -5, -1, 0, 2/5 Factor 2*y**4 - 20*y**3 + 42*y**2. 2*y**2*(y - 7)*(y - 3) Determine z so that z**4/4 - 57*z**3/4 + 1083*z**2/4 - 6859*z/4 = 0. 0, 19 Factor -q**2/3 - 203*q/3 - 200. -(q + 3)*(q + 200)/3 Factor -2*k**3/11 - 10*k**2/11 - 4*k/11 + 16/11. -2*(k - 1)*(k + 2)*(k + 4)/11 Factor -p**4/4 + 11*p**3/2 - 75*p**2/4 + 27*p/2. -p*(p - 18)*(p - 3)*(p - 1)/4 Determine q so that -2*q**5/15 + 4*q**4/15 - 4*q**2/15 + 2*q/15 = 0. -1, 0, 1 Suppose 2*o**3/7 + 36*o**2/7 - 78*o/7 - 2704/7 = 0. What is o? -13, 8 Find c, given that -5*c**2 - 15500*c - 12012500 = 0. -1550 Solve -w**5/2 + 7*w**4/2 + 57*w**3/2 - 603*w**2/2 + 756*w - 486 = 0 for w. -9, 1, 3, 6 Suppose -10*v**4/11 - 4*v**3 - 26*v**2/11 + 56*v/11 + 24/11 = 0. Calculate v. -3, -2, -2/5, 1 Factor 2*k**5 - 96*k**4 + 276*k**3 - 272*k**2 + 90*k. 2*k*(k - 45)*(k - 1)**3 Factor -3*w**2 - 42*w + 96. -3*(w - 2)*(w + 16) Suppose o**5/4 + 51*o**4/4 + 359*o**3/4 + 637*o**2/4 - 90*o - 172 = 0. What is o? -43, -4, -1, 1 Factor -3*w**2 - 57*w - 54. -3*(w + 1)*(w + 18) Factor -2*r**4 + 402*r**3 - 26934*r**2 + 601526*r. -2*r*(r - 67)**3 Determine n so that 3*n**4/4 - 3*n**3 - 72*n**2 = 0. -8, 0, 12 Solve 3*q**5/4 + 180*q**4 + 19725*q**3/2 - 112500*q**2 + 1171875*q/4 = 0. -125, 0, 5 Suppose -29*k**4/2 - 45*k**3 - 48*k**2 - 19*k - 3/2 = 0. What is k? -1, -3/29 Factor 14*f**2 + 96*f + 1152/7. 2*(7*f + 24)**2/7 Factor -125*j**3 + 377*j**2 - 256*j + 4. -(j - 2)*(j - 1)*(125*j - 2) Determine z so that -1392*z**3 + 160*z**2 + 12*z = 0. -3/58, 0, 1/6 Factor s**4/3 - 2*s**3 + 3*s**2. s**2*(s - 3)**2/3 Suppose -4*k**4/7 + 612*k**3/7 - 608*k**2/7 = 0. What is k? 0, 1, 152 Factor -d**3/3 - 7*d**2 - 119*d/3 - 33. -(d + 1)*(d + 9)*(d + 11)/3 Factor o**3 + 46*o**2 + 295*o - 342. (o - 1)*(o + 9)*(o + 38) Determine a so that 2*a**2/7 - 24840*a/7 + 77128200/7 = 0. 6210 Let 3*p**2/4 - 39*p/2 + 120 = 0. What is p? 10, 16 Determine m, given that m**2/3 - 7*m/3 = 0. 0, 7 Find c, given that 2*c**2/7 - 162*c/7 + 2176/7 = 0. 17, 64 Factor -2*r**5 + 26*r**4/5 + 12*r**3/5. -2*r**3*(r - 3)*(5*r + 2)/5 Determine f so that 2*f**4/13 - 192*f**3/13 + 1090*f**2/13 - 900*f/13 = 0. 0, 1, 5, 90 Solve -20*v**3/9 + 58*v**2/9 + 2*v/3 = 0. -1/10, 0, 3 Factor -3*f**3/2 - 22*f**2 - 117*f/2 + 22. -(f + 4)*(f + 11)*(3*f - 1)/2 Factor 4*t**3 + 100*t**2 + 800*t + 2000. 4*(t + 5)*(t + 10)**2 Solve -u**4 - 15*u**3 + 101*u**2 + 15*u - 100 = 0. -20, -1, 1, 5 Suppose -4*d**4/3 - 16*d**3/3 + 4*d**2/3 + 64*d/3 + 16 = 0. Calculate d. -3, -2, -1, 2 Suppose 3*x**3 - 1368*x**2 + 2724*x = 0. Calculate x. 0, 2, 454 Let 5*f**4 - 5*f**3 - 10*f**2 = 0. Calculate f. -1, 0, 2 Let -j**5/6 + j**4/3 + 18*j**3 + 215*j**2/3 + 325*j/6 = 0. What is j? -5, -1, 0, 13 Solve 5*j**4 + 20*j**3 - 30*j**2 - 20*j + 25 = 0 for j. -5, -1, 1 Find h such that -5*h**3 - 210*h**2 - 2940*h - 13720 = 0. -14 Find w such that -w**4/4 - 7*w**3/4 - 17*w**2/4 - 17*w/4 - 3/2 = 0. -3, -2, -1 Find y such that -3*y**2 + 1104*y - 101568 = 0. 184 Suppose 4*g**4/5 + 328*g**3 - 1648*g**2/5 - 328*g + 1644/5 = 0. Calculate g. -411, -1, 1 Solve 4*v**2/5 - 76*v/5 - 264/5 = 0 for v. -3, 22 Let -2*o**2/11 - 26*o/11 - 60/11 = 0. Calculate o. -10, -3 Let 5*g**3 + 30*g**2 - 5*g - 30 = 0. Calculate g. -6, -1, 1 Suppose -n**3 - 27*n**2 - 51*n - 25 = 0. Calculate n. -25, -1 Factor -5*z**4 + 32*z**3 + 63*z**2 + 10*z - 16. -(z - 8)*(z + 1)**2*(5*z - 2) Factor 4*o**3 + 44*o**2 - 56*o - 96. 4*(o - 2)*(o + 1)*(o + 12) Determine i so that 3*i**5 + 15*i**4 - 99*i**3 - 579*i**2 - 240*i + 900 = 0. -5, -2, 1, 6 Factor 2*p**4/19 + 12*p**3/19 + 22*p**2/19 + 12*p/19. 2*p*(p + 1)*(p + 2)*(p + 3)/19 Factor -p**4/4 + 3*p**3 - 9*p**2. -p**2*(p - 6)**2/4 Let -i**3/3 + 11*i**2/3 + i/3 - 11/3 = 0. Calculate i. -1, 1, 11 Suppose 3*y**4 + 93*y**3 - 666*y**2 = 0. What is y? -37, 0, 6 Factor -3*q**5/8 - 9*q**4/8 - 9*q**3/8 - 3*q**2/8. -3*q**2*(q + 1)**3/8 Factor 14*k**2/5 + 872*k/5. 2*k*(7*k + 436)/5 Factor 4*v**5 - 12*v**3 + 8*v**2. 4*v**2*(v - 1)**2*(v + 2) Let -2*u**4 + 16*u**3 - 26*u**2 + 12*u = 0. Calculate u. 0, 1, 6 Factor 6*t**5 - 28*t**4 + 16*t**3. 2*t**3*(t - 4)*(3*t - 2) Factor 3*z**2 - 1200*z - 2412. 3*(z - 402)*(z + 2) Factor -2*d**2/15 - 12608*d/15 - 19870208/15. -2*(d + 3152)**2/15 Solve 2*d**3/11 + 1228*d**2/11 - 2462*d/11 + 112 = 0. -616, 1 Determine q, given that -q**3/3 - 13*q**2 + q/3 + 13 = 0. -39, -1, 1 Factor -2*q**4 + 2*q**3 + 8*q**2 - 8*q. -2*q*(q - 2)*(q - 1)*(q + 2) Determine g so that -98*g**5 - 1358*g**4 - 5618*g**3 - 8802*g**2 - 4860*g - 864 = 0. -8, -3, -2, -3/7 Solve -4*c**4 - 20*c**3 - 12*c**2 + 20*c + 16 = 0. -4, -1, 1 Factor -550*o**2/3 - 2194*o/3 + 8. -2*(o + 4)*(275*o - 3)/3 Factor -656*i**3/5 + 526*i**2 - 2648*i/5 + 24/5. -2*(i - 2)**2*(328*i - 3)/5 Suppose -5*u**2 + 1970*u - 5865 = 0. Calculate u. 3, 391 Factor u**3/5 - 2*u**2/5 - u + 6/5. (u - 3)*(u - 1)*(u + 2)/5 Suppose -74*x**5/17 - 4*x**4/17 + 592*x**3/17 + 32*x**2/17 - 1184*x/17 - 64/17 = 0. Calculate x. -2, -2/37, 2 Find u such that u**4/8 + 3*u**3/4 - 7*u**2/8 - 12*u - 18 = 0. -4, -3, 4 Factor -r**2/2 - 537*r/4 + 269/4. -(r + 269)*(2*r - 1)/4 Find q, given that -4*q**2 - 624*q - 24336 = 0. -78 Determine g so that g**3/2 - 3*g**2/2 - 38*g + 144 = 0. -9, 4, 8 Let -r**3/4 - 63*r**2/4 - 1323*r/4 - 9261/4 = 0. What is r? -21 Factor -10*a**3 + 19*a**2 - 8*a - 1. -(a - 1)**2*(10*a + 1) Factor -2*s**4/15 - 2*s**3/15 + 6*s**2/5 - 22*s/15 + 8/15. -2*(s - 1)**3*(s + 4)/15 What is q in q**4 + 323*q**3 - 976*q**2 + 652*q = 0? -326, 0, 1, 2 Factor 4*j**2 - 1148*j + 10008. 4*(j - 278)*(j - 9) Solve 5*y**3 + 3305*y**2 + 547800*y + 544500 = 0. -330, -1 Factor m**3/4 - 15*m**2/4 + 18*m - 27. (m - 6)**2*(m - 3)/4 Find j such that j**5 + 4*j**4 - 6*j**3 - 4*j**2 + 5*j = 0. -5, -1, 0, 1 Let -4*q**5/5 + 8*q**4 + 44*q**3/5 = 0. What is q? -1, 0, 11 Find g, give
{ "pile_set_name": "DM Mathematics" }
ppose 5*b - 145 = -3*f, -b + 5*f - 2 = -3. Calculate the remainder when b is divided by (-3)/((-15)/35) - 0. 5 Suppose 3*a + a = 112. Suppose -3*i - 80 = -17. Let f = 31 + i. Calculate the remainder when a is divided by f. 8 Let b(p) = p**2 - 11*p - 5. Let u be b(8). Let z = 62 + u. What is the remainder when z is divided by 17? 16 Let t(p) = -4*p**2 - 4*p**2 + 3*p**2 + 9 - 1 + 5*p - p**3. Calculate the remainder when (27/4)/((-1)/(-4)) is divided by t(-6). 13 Suppose 2 = -5*l - 3. Let z(f) = -f**2 + f + 39. What is the remainder when z(0) is divided by 19 + 2 + l/1? 19 Suppose -2*j + 6*j - 48 = 0. What is the remainder when 1/(-2) - 91/(-2) is divided by j? 9 Let i(k) = 22*k**2 + 3*k - k**3 - 14 + 2*k**3 - 35*k**2. Let w(a) = a**3 + 7*a**2 + 5*a + 7. What is the remainder when i(13) is divided by w(-6)? 12 What is the remainder when 26 is divided by (-3)/6 + 31/2? 11 Suppose s - 2*b + 7 = 2*s, 5*s + 4*b - 59 = 0. Suppose 4*j = -s + 51. Calculate the remainder when 34 is divided by j. 7 Let h(z) = -3*z. Let s(l) be the third derivative of l**5/60 + l**4/12 + 11*l**3/6 - l**2. Calculate the remainder when s(-6) is divided by h(-3). 8 Let s(a) = 3*a**3 - 14*a**2 + 16*a + 24. Let k(i) = i**3 - 7*i**2 + 8*i + 12. Let r(v) = 5*k(v) - 2*s(v). What is the remainder when 23 is divided by r(-8)? 11 What is the remainder when 67 is divided by (-665)/(-20) - 9/(-12)? 33 Let y(n) = -n - 7. Let q be y(-7). Suppose q = 4*t - 7*t + 12. What is the remainder when 6 is divided by t? 2 Let s be 74/(-10) - (-9)/(-15). What is the remainder when 1005/9 - s/(-12) is divided by 28? 27 Let u = -15 - 40. Let i = -26 - u. Calculate the remainder when i is divided by 8. 5 Let o = 58 - 31. Suppose -2*h + u - 37 = -6*h, 2*h - 14 = -2*u. What is the remainder when o is divided by h? 7 Let l(n) = 6*n**3 + 3*n**2 - 4*n + 2. What is the remainder when l(2) is divided by 14? 12 Suppose -4*d = d + 2*z - 90, -5*z - 25 = 0. Calculate the remainder when 38 is divided by d. 18 Let x be -1*(1 + -2 - 1). Suppose x*n - 6 = 8. What is the remainder when 20 is divided by n? 6 Let h(g) = g**2 - 10*g + 2. Calculate the remainder when 23 is divided by h(11). 10 Suppose -3*i + 22 = -2*i. Let j = i + -13. Calculate the remainder when j is divided by 3. 0 Let q = 14 - 7. Suppose -g - 2*g + 5*h = 17, -3 = 5*g - 2*h. Calculate the remainder when (1/1*13)/g is divided by q. 6 Let i = 4 + -4. Suppose 3*k - 7*k + 24 = i. Let g(u) = u**2. What is the remainder when k is divided by g(-2)? 2 Suppose j = 4*t - 9*t + 83, 4*t = -2*j + 70. What is the remainder when 45 is divided by t? 13 Suppose 2*k - 4*k = 0. Suppose 0 = -k*h - h + 6. Let f = -25 + 48. Calculate the remainder when f is divided by h. 5 Let t be (1 + -1)*(3 - 2). Let y(n) = -n**2 + 14. Calculate the remainder when 54 is divided by y(t). 12 Let f = 29 - -1. Calculate the remainder when 119 is divided by f. 29 Let f(x) = -x**3 + 7*x**2 + 4*x - 12. What is the remainder when f(5) is divided by 30? 28 Let m = -6 - -7. Let r = m + 17. What is the remainder when r is divided by 10? 8 Suppose -5*z - 2*d = -239, -2*d - 75 = -5*z + 156. What is the remainder when z is divided by 10? 7 Calculate the remainder when 19 is divided by 1*27/3 + 3. 7 Let v(i) = i**3 + 8*i**2 - 4*i + 5. Calculate the remainder when 71 is divided by v(-8). 34 Let c = 3 + -2. Let b be (-2)/((5/2)/(-5)). Suppose 9*z + 27 = 2*h + b*z, 19 = 4*h - 3*z. What is the remainder when c is divided by h? 0 Suppose o = -2*f + 2*o + 9, 4*o - 55 = -5*f. Let g = f - 3. Suppose -4*n = 3*p + 4, n - 2*n + 14 = -3*p. What is the remainder when g is divided by n? 0 Suppose -3*f + 2*z = -476, 3*z = 3*f - z - 484. Suppose 56 = -4*q + f. Calculate the remainder when q is divided by 13. 12 Let z(q) = 4*q**2 - 4*q + 5. Calculate the remainder when 51 is divided by z(2). 12 Let d = 23 + 5. Calculate the remainder when 109 is divided by d. 25 Let w = -15 + 30. Calculate the remainder when 5 is divided by (-1)/((w/(-9))/5). 2 Let k = 281 - 561. Suppose 4*b = 0, 0*a + b + 18 = 3*a. Calculate the remainder when ((-3)/2)/(42/k) is divided by a. 4 Let a(l) = -l - 5. Let j(b) = -b**2 - 8*b - 5. Let n be j(-8). Let p be a(n). Suppose p = 3*i - 36 - 21. What is the remainder when 36 is divided by i? 17 Suppose 2*b = m - 15, 0 = -5*m - b - 0*b + 86. Calculate the remainder when m is divided by -1*6 - (-240)/16. 8 Let g(r) = 10*r**2 + 3*r - 3. Let m be g(3). Let o = m - 68. Suppose 0*p + 22 = 2*h - p, 4*p + o = 3*h. Calculate the remainder when h is divided by 7. 5 Let v be 0/(3/((-6)/(-4))). Suppose v = 4*k - 90 - 90. Suppose 0*q - 3*c = 5*q - 51, 5*q - k = -5*c. What is the remainder when 22 is divided by q? 10 Calculate the remainder when 84 is divided by (3/(-6))/(2/(-116)). 26 Suppose 5*i = -5*x + 35, -i + 23 = -x + 4*i. Let t = 3 - 0. Calculate the remainder when t is divided by x. 1 Let v(f) = -f**3 + 3*f + 1. Suppose 12 = 6*c - 0. Calculate the remainder when v(-2) is divided by c. 1 What is the remainder when (-6 + 2)*(-703)/38 is divided by 2/(-4) - (-93)/6? 14 Let w = 105 + -63. Suppose -2*t = 4*i - w, -4*t - 6 = -2. What is the remainder when 41 is divided by i? 8 Let x = 0 - -4. Suppose 0*w = 4*w - 48. Suppose 6*m - m + 23 = 4*b, -4*m = w. What is the remainder when x is divided by b? 0 Suppose r = 4*r - 189. Let m = r + -35. Calculate the remainder when m is divided by 10. 8 Let m be 6/1 - (10 + -7). Suppose -i - m*l + 62 = 0, -5*l - 22 = -i - 0*i. Calculate the remainder when i is divided by 16. 15 Let m = 6 - 2. Suppose -5*s = h - 9, -2*h = m*s - 5*h + 8. Let z(o) = 9*o**2 - o. What is the remainder when z(s) is divided by 3? 2 Calculate the remainder when (-17)/2*(2 - 6) is divided by 12. 10 Let i(p) be the second derivative of p**3/3 + 3*p**2/2 - p. What is the remainder when i(11) is divided by 13? 12 Let q = 133 - 101. Calculate the remainder when q is divided by 18. 14 Let k = 19 + 25. Suppose -w = d + 3*w - 11, 2*w - k = -4*d. Let t(v) = -v**3 - 8*v**2 + 4*v - 13. Calculate the remainder when t(-9) is divided by d. 10 Let f(m) = -m + 15. Let q be f(12). Suppose 7*v - q*v + 2*s - 60 = 0, 4*v - 3*s = 60. What is the remainder when (-4)/(2/(-1))*14 is divided by v? 13 Suppose -2*u + 104 = -20. Calculate the remainder when u is divided by 21. 20 Suppose -3*n + 4*f + 19 = 6*f, -5*f = 5*n - 30. Calculate the remainder when 12 is divided by n. 5 Let y(p) = p**3 + 5*p**2. Let v be y(-5). Suppose v = -j - 4*j + 165. What is the remainder when -1 + j/3 + -3 is divided by 3? 1 Let w = 14 - -31. What is the remainder when w is divided by 16? 13 Let b = 5 - -7. Let y(s) = -6*s**2 - 2 + 6*s + s**2 + 4*s**2. What is the remainder when b is divided by y(3)? 5 Suppose -4*x + 3*k + 326 = 0, 77 = x - 0*x - 3*k. Suppose 5*q - x = -13. Suppose 58 = 4*z + q. Calculate the remainder when z is divided by 6. 5 Let c be 3*6/(-27)*6. What is the remainder when 19 is divided by 2/c*(-88)/4? 8 Let s = -52 + 68. What is the remainder when 79 is divided by s? 15 Suppose -14 = 2*o + 2. Suppose 5*m = -3*y + 64 - 20, -22 = -2*m + y. What is the remainder when m is divided by o/3*6/(-4)? 2 Let l(z) = -z**3 + 5*z**2 + 2*z - 1. Let x be l(5). Suppose -4*a - 50 = -x*a. Calculate the remainder when a is divided by 6. 4 Let v = 9 + -14. Calculate the remainder when 11 is divided by 1/(-5) - 36/v. 4 Suppose -u + 3*j - 72 = -4*u, -j + 82 = 3*u. Calculate the remainder when u is divided by 10. 9 Suppose 4*p + 15 = -p. What is the remainder when 24 is divided by (10/2)/(p + 4)? 4 Let g be 2*(-3)/(-6)*-2. Let t be (2/(-4))/(g/(-8)). Let n = t - -18. What is the remainder when 47 is divided by n? 15 Suppose 2*c = 7*c - 70. What is the remainder when (2 - (-3)/(-2))*106 is divided by c? 11 Let g(f) be the first derivative of f**3/3 + f**2/2 + f - 1. Calculate the remainder when 61 is divided by g(-6). 30 Let h(q) = -q**2 + 5*q - 2. Let p be h(6). Let u = -3 - p. Calculate the remainder when u is divided by 3. 2 Let f(b) = 4*b - 2. Let j = 0 + 6. Let h be ((-2)/4)/((-1)/j). What is the remainder when 18 is divided by f(h)? 8 Let i(h) = 2*h**2 + 2*h + 1. Suppose -3*u + 4 + 2 = 0. Let s(y) = -2*y + 1. Let c be s(u). What is the remainder when 37 is divided by i(c)? 11 Let h(v) = v**2 - 2*v. Let r = 18 - 2. What is the remainder wh
{ "pile_set_name": "DM Mathematics" }
d 3*z**5 - 7*z**5 - 12*z**5 + (-2*z + z - z)*(-4*z**4 + 2*z**4 + 3*z**4) + z**5 - 2*z**5 - z**5. -20*z**5 Expand (-2*m**4 + 3*m**4 + 0*m**4)*(28*m + 13*m - 53*m). -12*m**5 Expand (1 - 1 - 1)*(-1 - 13*h + 37*h - 16*h). -8*h + 1 Expand (0*f - 2*f - f + f - 6*f + 4*f + (-f - f + 4*f)*(5 - 3 - 4) - 2 + f + 2)*(-f + 2*f + 0*f). -7*f**2 Expand 3 + 12*l + 11*l - 22*l - 3*l**2 + (-2 - l + 2)*(-2*l + 3*l + l). -5*l**2 + l + 3 Expand (-20*a - 14*a**4 + 20*a)*(-2 + 1 - 3*a + 4*a). -14*a**5 + 14*a**4 Expand ((-15*v - 8*v + 6*v)*(0 - 1 - 1) + 0*v - v - v)*(4*v - v**3 - 4*v). -32*v**4 Expand 5*t + t - 4*t + (1 + 2*t - 1)*(2 - 5 + 0). -4*t Expand (0*x**2 - 2*x**2 + 4*x**2)*(3*x**3 + x**2 - x**2) + (-7*x**2 - 3 + 7*x**2 + 3*x**3)*(2*x**2 + 3*x**2 - 3*x**2). 12*x**5 - 6*x**2 Expand (2*j - 2*j - j)*(-j**2 - 6*j**2 - 2*j + 2*j**2). 5*j**3 + 2*j**2 Expand (0*d + 2*d + 2*d)*(5*d - 8 + 8). 20*d**2 Expand (-17*s + 21*s + 40*s)*(2 - 1 + 3). 176*s Expand (2 - 3 + 2)*(-43*l + 46*l - 1 + 3)*(0*l**3 - 2*l**3 - 3*l**3). -15*l**4 - 10*l**3 Expand 5*r**5 - 6*r**5 - 3*r**5 + (r - 2*r + 0*r)*(2*r**4 + 2*r - 2*r). -6*r**5 Expand (3*o**2 + o**3 - 3*o**2)*(3 - 3 + 3). 3*o**3 Expand -m**3 + 3*m - 3*m + (3*m**2 - 3*m**2 + m**3)*(5 + 1 - 4) + 3*m**3 + 2*m**3 - 2*m**3. 4*m**3 Expand (5 - 2 - 2)*(-5 - 8 + 2)*(-5*x + x + 2*x). 22*x Expand (-5*s**3 - 3*s**2 + 3*s**2)*(-s - 2*s + s)*(4 - 8 - 7). -110*s**4 Expand (-2*l**2 + l**2 - l**2)*(8*l - 25*l - 17*l). 68*l**3 Expand (0 + 0 + j)*(3*j**4 + 3*j**4 - 7*j**4) - j**5 - 3*j**5 + 3*j**5. -2*j**5 Expand (-3*i + 0*i + 4*i)*(2*i + 0 + 0)*(12 + 5 - 5). 24*i**2 Expand (0*u**2 - 2*u**2 + 0*u**2)*(2 - 4 - 1 + 2 - 2 + 3 + (-3 - 2 + 7)*(-3 + 2 + 0)). 4*u**2 Expand (-3*g + g + g)*(-2*g + 2*g + 2*g**4) + 0*g**5 - 2*g**5 + 6*g**5. 2*g**5 Expand (-p - 2*p + 5*p + 3)*(4*p**3 - 2*p**3 - 6*p**3). -8*p**4 - 12*p**3 Expand (0*b**3 - b**3 + 3*b**3)*(0 + 0 - b)*(3*b + 0*b + 2*b). -10*b**5 Expand (2*x**2 + 5*x**2 - 5*x**2)*(-x**2 + 0*x**3 + 4*x**2 + 2*x**3). 4*x**5 + 6*x**4 Expand (-r**3 + 3*r**3 + r**3)*(0*r + r - 3*r - 1 + 2*r**2). 6*r**5 - 6*r**4 - 3*r**3 Expand 4*x**5 - 3*x**5 - 3*x**5 + (-1 + 0 + 0)*(-3 + 2*x**5 + 3) + x**4 - x**5 + 2*x**4 - 6*x**4. -5*x**5 - 3*x**4 Expand (5*o**2 - 6*o**2 + 3*o**2 + 2)*(-o**2 + 2*o - 2*o). -2*o**4 - 2*o**2 Expand (0 + 3 + 0)*(3*g + g - 2*g)*(-4 - 4 + 4). -24*g Expand a + 2*a - 5*a + (a + a - 3*a)*(2 + 5 - 3). -6*a Expand (2 - 4 - 1)*(-3 - 2 + 4)*(j + 0 + 0). 3*j Expand (21*a + 42*a + 61*a)*(-2*a + 1 - 1) + 2 + a**2 - 2. -247*a**2 Expand 2*j - 37*j**2 + 7*j**2 + 17*j**2 + (-1 + 2*j + 1)*(3*j - j - 3*j). -15*j**2 + 2*j Expand (5*v - 4*v - 3*v)*(3 - 3 - 2). 4*v Expand -z**5 + 4*z - 4*z + 2*z**5 + 0*z**5 + 0*z**5 + (-4 + 4 - 2*z**5)*(0 + 1 + 1) + 15*z**4 - 9*z**5 - 15*z**4. -12*z**5 Expand (7*i - 29*i - 6*i)*(-3*i**4 - 2*i**4 + 3*i**4). 56*i**5 Expand 0*h - 3*h + h + 4*h - h - 2*h + (-4*h + h + h)*(5 - 5 - 1) + (-1 + 1 + 1)*(2*h - 3 + 3). 3*h Expand (-2*x + 5 - 4 + 0*x)*(-2 + 11 + 4). -26*x + 13 Expand 0*w**2 - w**5 + 0*w**2 + (0*w**5 - 5*w**5 + 4*w**5)*(2 - 3 + 2) + 23*w**5 + 24*w**5 + w**5 + (1 + 0 - 3)*(-w**5 + 0*w**5 - w**5). 50*w**5 Expand (-2*h**3 + 0*h**3 - h**3)*(0 + 0 + 1)*(0*h**2 - 3*h**2 + 0*h**2). 9*h**5 Expand (-5*q + 5*q - q**4)*(0 + 0 - 3*q)*(-1 + 3 + 0). 6*q**5 Expand 2*p**3 + 0*p**3 - p**3 + (-4 - 1 + 2)*(p**3 - p**3 - 3*p**3). 10*p**3 Expand 0*y**2 - 1 - 3*y**2 + 5*y**2 + 2 - 2 + y**2 + (3 - 3 - y)*(2*y + 5*y - 3*y). -y**2 - 1 Expand 0 + 0 - 2*t**3 + (-48*t + 40*t + 26*t)*(0*t**2 - t**2 - 2*t**2 + t + t**2 - t + (-1 - t + 1)*(-4*t + t + 4*t) - 3*t - t**2 + 3*t). -74*t**3 Expand (-4 + 2*n**2 + 4)*(-5 + 32 + 2)*(2*n + n - 2*n)*(n - 2*n + 2*n). 58*n**4 Expand -6*o**3 + 6*o**3 - o**4 + (45*o - o**3 - 45*o)*(-5*o + o + 2*o). o**4 Expand -8*j**3 + 5*j**2 + 3*j**3 - 4*j**2 + 3*j**2 - 4*j**3 - 3*j**2 + j**3 - j**2 + j**2 + (-4 + 4 - 2*j**2)*(-2*j + 3*j - 3*j). -4*j**3 + j**2 Expand -2*p**2 + 0 + 0 + (2 - 2 - p)*(1 - 1 + p) - 5 + 6*p**2 + 7 + 0*p**2. 3*p**2 + 2 Expand (-3 - 3 + 5)*(-3*g**2 + 0*g**2 + g**2)*(-19*g**3 - 81*g + 81*g). -38*g**5 Expand ((-2 + 2 + 2)*(-2*c**2 + 4*c**2 - c**2) + 2*c**2 - 1 + 1 - 3*c - 2*c**2 + 3*c)*((4 - 5 + 5)*(-5*c + 4*c + 2*c) + c + 2*c - 2*c). 10*c**3 Expand (-4 - 2*a + 4)*(a + a - 4*a) + (4*a - 10*a - a)*(-1 + 1 + a). -3*a**2 Expand -15*v**5 + 2 - v - 30*v**3 + 30*v**3 + 0 + v**5 + 0 + (-3*v**3 - 2*v**3 + 7*v**3)*(1 - 1 + v**2). -12*v**5 - v + 2 Expand 2*q + 3*q**2 - 2*q + (-3*q + 5*q - q)*(3*q - 3*q + q). 4*q**2 Expand -2*b**2 + 4*b**4 + 2*b**2 + 0*b**4 - 3*b**4 + b**4 - 2*b**3 + (b**3 - 3*b**2 + 3*b**2)*(-1 + 1 + 2*b) - b + b + b**4. 5*b**4 - 2*b**3 Expand (0*z**2 - 5*z**2 + 6*z**2)*(-6 + 1 + 1)*(-3*z - 3*z + z). 20*z**3 Expand (0*w + 3*w - 5*w)*(w**3 - w**3 + w**3) - 12*w**4 - 18*w**4 + 11*w**4. -21*w**4 Expand (-w**2 - 3*w**2 + 5*w**2)*(3*w - 7*w + 3*w - 1) + 2*w**3 + 1 - 1. w**3 - w**2 Expand (2*w - 7*w + 2*w)*(-2*w**3 - 2*w**3 + 2*w**3)*(-2*w - 3*w + 7*w). 12*w**5 Expand h**4 + 0*h**2 + 0*h**2 + (2 - 3 + 0)*(5*h**4 - 3*h**4 - 3*h**4) + 5 - 10 + h**4 + 0*h**4. 3*h**4 - 5 Expand (3 - 1 - 1)*(0*t - 4*t + 6*t)*(-4 + 6 - 3). -2*t Expand (p - 2*p - p)*(-2*p**3 + 0*p**3 + 3*p**3) + 3*p**3 - 2*p**4 - 3*p**3 + 2*p**4 + 1 - 1 + (-5*p + p + 5*p)*(-p**3 - p**3 + 0*p**3). -4*p**4 Expand 5*c - c - 5*c - 4*c - 3*c + 5*c + (2*c - 2*c - c)*(-2 + 1 + 0) - c + c - 2*c + (5 - 4 - 3)*(c - 3*c + 3*c). -6*c Expand (h**3 - 2*h**3 + 3*h**3)*(h**2 + 3*h**2 - 3*h**2) - 2*h**5 + 3*h**5 + 0*h**5 - 11*h**5 - 7*h**5 + 92*h**5. 77*h**5 Expand 96 + 8*q**4 - 93 + 3*q**4 + (0*q**3 + 6*q**3 - 4*q**3)*(-2*q + 0*q + q). 9*q**4 + 3 Expand ((3 - 3 - w)*(0*w - 2*w + 0*w) + 0*w**2 + 3*w**2 - w**2)*(0*w**3 - 2*w**3 + 0*w**3). -8*w**5 Expand -5*w**4 + 5*w**4 - 3*w**4 + (w**2 - w**2 - w**3)*(2*w - w + 0*w) - 2*w**4 - w**4 - 2 + 2*w**4. -5*w**4 - 2 Expand (-5*s + 0*s + 3*s)*(-2 - 13 - 2) - 4*s + s + 0*s + (-2 + 5 - 1)*(s + 2*s - 4*s) - 3*s - s + 2*s. 27*s Expand -h - 6*h + 3*h + 0 + 0 + h - 4*h - 3*h + 6*h + 0*h + 2*h - 4*h + (-1 + 2 - 2)*(2*h + 0*h - h) - h + 0*h + 2*h + (-2 + 2 + 2*h)*(-3 + 2 + 0). -8*h Expand (-3*p - 25 + 46 - 22)*(-p - p + 0*p) + p**2 - 3 + 3 + (p - 2*p - p)*(-4*p - 3*p + 5*p). 11*p**2 + 2*p Expand 4*y**4 - 4*y**4 + 2*y**5 + (-7 + 7 + 3*y)*(3*y**4 - 2*y**4 + 2*y**4). 11*y**5 Expand -2*q - 3*q**5 + 2*q + (-4*q**4 + 3*q**4 - 3*q**4)*(-5*q + q + 2*q). 5*q**5 Expand 276*g - 276*g + 25*g**2 + (3 - 2*g - 3)*(3*g + g - 3*g). 23*g**2 Expand (7*p + 0*p - 2*p)*(2 - 5 - 5). -40*p Expand (0*c + 0*c + 3*c)*(8 + 6 - 29) + 5*c - 2*c - 4*c. -46*c Expand (-j - j - 3*j)*(3 - 1 + 0)*(-5*j**2 + j**2 + 2*j**2)*(2 - 2*j - 2). -40*j**4 Expand (-7*u + 30 - 30)*(2*u + 0*u + 3*u). -35*u**2 Expand (144 - 20*z - 144)*(z + 0 + 0). -20*z**2 Expand 13*s**3 + 2*s**3 - 2*s**3 + (-1 + 1 - s)*(-s**2 + 6*s**2 - 4*s**2). 12*s**3 Expand (3*x**2 + 2*x**2 + 0*x**2)*(4 - 4 + x) - 2*x**3 - 1 + 1. 3*x**3 Expand (6 - q - 6)*(-6*q**2 - 2*q**3 + 3*q**2 + 4*q**3). -2*q**4 + 3*q**3 Expand (2*h**2 - h**2 - 3*h**2)*(9 - 2 - 4)*(0 + 0 + 2). -12*h**2 Expand (24 + 15 - 23)*(-15 - 7*n + 15). -112*n Expand (4 + 15 + 20)*(6*o + 0*o - 4*o). 78*o Expand (2*r**2 - 2*r**3 - 2*r**2)*(-2 - 12 - 2). 32*r**3 Expand (4 - 2 - 1)*(-3 - 3 + 2)*(0*y - 3*y + 4*y + (3 - 2 + 0)*(y + y - y) - y + 0*y + 3*y - y + 3*y - y). -20*y Expand (0*r - 3*r + 2*r)*(142*r**3 - 143 + 143). -142*r**4 Expand (-2 + 6 + 2)*(4*r**2 - 4*r**2 - r**4) - 3*r - 2*r**4 + 3*r. -8*r**4 Expand (-3 + 3 + 2*p**2)*(p**2 - 2*p**2 + 0*p**2) + 0*p**2 + p**4 + 0*p**2 + 6*p**4 + 9 - 9. 5*p**4 Expand (f + 3 - 3)*(f**4 + 4*f**4 - 14*f**4). -9*f**5 Expand (0 + 0 - s)*(0*s**4 - s**4 + 3*s**4) + 3*s**5 + 4*s**5 + 0*s**5. 5*s**5 Expand (-2*s - 2 + 2)*(-2 + 3 - 2)*(2*s - 4 + 4)*(18 + 12 + 1). 124*s**2 Expand 5*f**5 + 2*f**5 - 4*f**5 - 2 + (-3*f**5 + f**5 + 0*f**5)*(1 + 0 + 1) + 2*f**5 - 4 + 4. f**5 - 2 Expand -2 - 3*s**5 + 2 - 3*s**5 - s**5 + 6*s**5 + (0 - 3*s + 0)*(-2*s**4 + s**4 + 3*s**4) + 0*s**3 + 0*s**3 + s**5. -6*s**5 Expand (3 - 3 + 2*x**2)*(4 + 1 + 3*x**2 - 4*x**2). -2*x**4 + 10*x**2 Expand -14*y + 3*y - 11*y + (5 - 4 - 3)*(2*y + 0 + 0). -26*y Expand -h + 0 + 0 + (3*h - h + 8 - 12)*(5 - 5 - 2). -5*h + 8 Expand ((-1 + 1 - 2*g)*(0 - 3 + 1) + 5*g + 4*g + 11*g + 4*g - 2*g - 3*g)*(4 - 4 + g**4). 23*g**5 Expan
{ "pile_set_name": "DM Mathematics" }
is prob of picking 1 s and 1 j? 2/3 Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {g: 11, e: 9}. 99/190 Four letters picked without replacement from xxbnyxmmyyqyy. Give prob of picking 1 x and 3 y. 6/143 Three letters picked without replacement from mnmlvis. What is prob of picking 1 l, 1 s, and 1 m? 2/35 What is prob of picking 1 c and 2 q when three letters picked without replacement from qccqqqcqcqq? 28/55 Three letters picked without replacement from wppwxxwownxpwx. Give prob of picking 3 w. 5/182 What is prob of picking 1 u, 2 g, and 1 l when four letters picked without replacement from llulgtttwuulgttttl? 1/204 Three letters picked without replacement from {v: 3, p: 1, u: 3, y: 5, f: 8}. What is prob of picking 1 p and 2 v? 1/380 Calculate prob of picking 2 n and 1 v when three letters picked without replacement from qqvqxvnvnn. 3/40 Four letters picked without replacement from wrwwrwrrwrrhww. Give prob of picking 1 w and 3 r. 20/143 Two letters picked without replacement from lllllllljllll. What is prob of picking 2 l? 11/13 Calculate prob of picking 1 t, 1 q, and 2 x when four letters picked without replacement from xqxtx. 3/5 Four letters picked without replacement from ptptutuctccetuupop. Give prob of picking 1 o and 3 u. 1/765 What is prob of picking 3 o when three letters picked without replacement from {c: 2, e: 2, l: 1, o: 4}? 1/21 Calculate prob of picking 3 i when three letters picked without replacement from ininppnppinnippp. 1/140 What is prob of picking 1 p, 2 m, and 1 z when four letters picked without replacement from dplkmzm? 1/35 What is prob of picking 1 b and 2 p when three letters picked without replacement from poob? 0 Two letters picked without replacement from ajqq. Give prob of picking 1 j and 1 a. 1/6 What is prob of picking 1 g, 1 w, and 1 d when three letters picked without replacement from {w: 2, d: 2, c: 2, g: 1, t: 1}? 1/14 What is prob of picking 1 t and 1 i when two letters picked without replacement from {i: 2, t: 4, f: 2, s: 1, n: 3}? 4/33 Calculate prob of picking 1 k, 1 m, and 1 i when three letters picked without replacement from {k: 3, v: 1, i: 1, d: 1, m: 1}. 3/35 Three letters picked without replacement from {p: 5, m: 1, s: 6, j: 7}. What is prob of picking 2 p and 1 j? 70/969 Three letters picked without replacement from kccrkfkckr. What is prob of picking 2 k and 1 c? 3/20 What is prob of picking 2 y when two letters picked without replacement from {b: 1, y: 4, a: 7, t: 6}? 2/51 Calculate prob of picking 1 r and 1 q when two letters picked without replacement from jqcccqcrcccqqqrc. 1/12 What is prob of picking 2 e and 1 i when three letters picked without replacement from eeieiie? 18/35 Four letters picked without replacement from nnjwqqwqnnwjexw. Give prob of picking 1 w, 2 n, and 1 e. 8/455 Two letters picked without replacement from olvjooovvop. Give prob of picking 1 o and 1 j. 1/11 What is prob of picking 2 d and 1 n when three letters picked without replacement from {n: 1, m: 4, y: 1, d: 11}? 11/136 Three letters picked without replacement from {q: 8, c: 1, z: 3, s: 6}. Give prob of picking 2 q and 1 z. 7/68 Three letters picked without replacement from {f: 6, n: 3, m: 3, w: 7}. Give prob of picking 1 m and 2 f. 15/323 Two letters picked without replacement from {q: 2, p: 1, s: 1, m: 1, v: 2}. Give prob of picking 1 v and 1 s. 2/21 Calculate prob of picking 3 i when three letters picked without replacement from {j: 5, i: 4, s: 2}. 4/165 What is prob of picking 1 b and 1 n when two letters picked without replacement from nbllllbllnlflnlbllnl? 6/95 What is prob of picking 1 e and 1 d when two letters picked without replacement from deoodoyodoeyodyegdo? 5/57 What is prob of picking 2 s and 1 w when three letters picked without replacement from qhhhswxh? 0 Three letters picked without replacement from mhhhmvvmmhm. Give prob of picking 2 h and 1 v. 4/55 What is prob of picking 1 q and 2 g when three letters picked without replacement from {g: 5, b: 4, q: 2}? 4/33 Four letters picked without replacement from {l: 2, t: 1, n: 2, b: 8}. Give prob of picking 4 b. 14/143 Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {y: 2, k: 2, b: 1}. 1/5 Four letters picked without replacement from llllcllcllacallsalll. Give prob of picking 1 s, 1 c, 1 l, and 1 a. 39/1615 Calculate prob of picking 1 u, 2 d, and 1 g when four letters picked without replacement from suddsdsddqusug. 30/1001 What is prob of picking 1 u and 3 j when four letters picked without replacement from {u: 3, j: 3}? 1/5 Three letters picked without replacement from xpepemppcmmggep. Give prob of picking 2 m and 1 x. 3/455 Three letters picked without replacement from hcchcbcbihcxhbhhcbbb. Give prob of picking 1 b and 2 i. 0 What is prob of picking 1 a, 2 z, and 1 p when four letters picked without replacement from aazapxzxxz? 3/70 Three letters picked without replacement from {d: 2, z: 9}. Give prob of picking 2 d and 1 z. 3/55 What is prob of picking 2 a when two letters picked without replacement from nzzznnazznzna? 1/78 Two letters picked without replacement from {w: 1, o: 2, y: 3, u: 1}. Give prob of picking 1 y and 1 u. 1/7 Calculate prob of picking 4 r when four letters picked without replacement from rrrrrr. 1 Two letters picked without replacement from {j: 3, z: 1, t: 3}. What is prob of picking 2 t? 1/7 Four letters picked without replacement from ggrrgggggrgrrggg. Give prob of picking 4 g. 33/182 Calculate prob of picking 4 w when four letters picked without replacement from rwrrwrrrrwrrww. 5/1001 Calculate prob of picking 1 s and 1 n when two letters picked without replacement from fnscv. 1/10 What is prob of picking 2 g, 1 z, and 1 x when four letters picked without replacement from szzzzxsglsszzxgslg? 1/85 What is prob of picking 1 n and 1 g when two letters picked without replacement from mnngngmmnmk? 8/55 Two letters picked without replacement from {z: 3, v: 5, w: 1, s: 1, b: 2, l: 1}. What is prob of picking 2 b? 1/78 What is prob of picking 1 d and 1 i when two letters picked without replacement from {q: 2, h: 1, a: 2, i: 1, d: 1}? 1/21 Two letters picked without replacement from {w: 7, j: 4}. What is prob of picking 2 j? 6/55 Calculate prob of picking 1 g, 1 t, 1 x, and 1 c when four letters picked without replacement from {x: 5, t: 1, q: 2, g: 10, b: 1, c: 1}. 10/969 Two letters picked without replacement from ttmsswtewwwwwwsewshs. Give prob of picking 1 e and 1 h. 1/95 What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 2, b: 2, s: 4, m: 3, n: 2, j: 1}? 4/91 Four letters picked without replacement from {s: 4, p: 1, g: 2, i: 6, b: 2}. Give prob of picking 4 s. 1/1365 Three letters picked without replacement from {l: 3, y: 5, d: 4}. What is prob of picking 2 y and 1 l? 3/22 What is prob of picking 1 t and 3 p when four letters picked without replacement from pttktpp? 3/35 Two letters picked without replacement from nwbwnwbbbnbhabe. Give prob of picking 1 a and 1 h. 1/105 What is prob of picking 2 y and 1 c when three letters picked without replacement from {c: 1, k: 1, y: 2}? 1/4 Four letters picked without replacement from mqppppmeyeyyyeep. What is prob of picking 1 y and 3 p? 2/91 Four letters picked without replacement from {s: 1, g: 2, i: 1, x: 2}. Give prob of picking 2 g, 1 s, and 1 i. 1/15 Three letters picked without replacement from {a: 3, v: 1}. Give prob of picking 3 a. 1/4 Calculate prob of picking 3 u when three letters picked without replacement from uuu. 1 Two letters picked without replacement from wwwfwff. Give prob of picking 2 w. 2/7 What is prob of picking 2 g and 1 z when three letters picked without replacement from zggzzgzszgsg? 5/22 Two letters picked without replacement from cbbbbbzjbcjjhb. Give prob of picking 1 h and 1 b. 1/13 Two letters picked without replacement from lnlhllvhnh. Give prob of picking 1 l and 1 h. 4/15 What is prob of picking 1 t and 2 b when three letters picked without replacement from {b: 3, x: 8, t: 7}? 7/272 What is prob of picking 2 b and 1 w when three letters picked without replacement from {b: 4, w: 6, t: 1}? 12/55 Calculate prob of picking 1 j and 2 g
{ "pile_set_name": "DM Mathematics" }
*2 - 2. Let f(u) = 243*u**2 + 45. What is 2*f(z) + 45*l(z)? -9*z**2 Let l(c) = 2*c**2 + 2. Suppose -2*x = -4*w - 2, 0*x = -x - 5. Let h(i) be the third derivative of -i**5/20 - 2*i**3/3 - 10*i**2. Calculate w*h(z) - 5*l(z). -z**2 + 2 Let m(g) = -6*g**3 - 6*g**2 - 16*g - 16. Suppose l + 2*b = 1, 3*b - 6 = -0*b. Let w(x) = -x**3 - x**2 - 3*x - 3. What is l*m(r) + 16*w(r)? 2*r**3 + 2*r**2 Let c(n) be the second derivative of n**4/12 - n**3/3 - 3*n**2/2 - n. Let y(z) = -z - 2. Suppose -5 = -2*j - 1. Determine j*c(q) - 3*y(q). 2*q**2 - q Suppose -i = -2 - 4. Let d(p) = 2*p - 4*p**2 + p - 5 - p - i. Let h(r) = -2*r**2 + r - 5. What is -6*d(z) + 13*h(z)? -2*z**2 + z + 1 Let i(f) = f**2 + f + 1. Let g = 63 + -65. Let o be ((-1)/3)/((-1)/(-3)). Let m(q) = -q**2 - 2. Calculate g*i(p) + o*m(p). -p**2 - 2*p Let z(d) = 2. Let o be (-1 - -2)*1/1. Let a be (-32)/144 + 14/(-18). Let q(k) be the first derivative of k**2/2 + k + 1. What is a*q(m) + o*z(m)? -m + 1 Let u(m) = 1. Let f(l) = -l - 1. Let j be 7*-2*(-3)/14. What is j*f(h) + 4*u(h)? -3*h + 1 Let y(h) = -4*h + 15. Let p(i) = 13*i - 44. Calculate -2*p(q) - 7*y(q). 2*q - 17 Let h be 2/(-3) + 231/9. Let f be 10/h - 46/(-10). Let u(s) = 7*s**3 - 2*s - 9. Let b(j) = -4*j**3 + j + 5. What is f*b(i) + 3*u(i)? i**3 - i - 2 Let c(n) = -n**3 - 5*n**2 - 4*n + 2. Let l(b) = -2*b**3 - 9*b**2 - 7*b + 4. Let q be (100/(-15))/((-2)/(-78)). Let g be 4/18 + q/36. Determine g*c(u) + 4*l(u). -u**3 - u**2 + 2 Let c(s) = 3*s**3 - s**2. Let j(a) = -4*a**3 + 2*a**2 - 1. Suppose -5*w + 2 = 3*r, 8 = 2*w + 6*r - 3*r. Calculate w*j(d) - 3*c(d). -d**3 - d**2 + 2 Let i(k) = -6*k + 9. Let x(v) = 3*v - 4. Give -4*i(u) - 9*x(u). -3*u Let g(c) = 6*c + 6. Let i be (-72)/(-32) + (-1)/4. Suppose 3 = -i*b + 25. Let k be 4 + -1 + (b - 10). Let m(h) = -11*h - 11. Determine k*m(r) + 7*g(r). -2*r - 2 Suppose -2*q - 16 = -6. Let m(j) = 2*j**3 - j**2 - 4*j + 5. Let t(f) = 9*f**3 + 0*f**3 + 4*f**3 - 7 + f**2 + 6*f - 16*f**3. What is q*t(z) - 7*m(z)? z**3 + 2*z**2 - 2*z Let h(s) = -4*s**2 + 26*s - 9. Let k(l) = 9*l**2 - 54*l + 19. Let r(t) = -13*h(t) - 6*k(t). Let n(x) = x**2 + 5*x - 1. What is -8*n(f) - 3*r(f)? -2*f**2 + 2*f - 1 Let j(i) = -i**2 + i. Let b(o) = 12*o**2 + 10*o. Determine b(a) - 10*j(a). 22*a**2 Let c(i) = -8*i - 3. Let g(f) = 9*f + 1. Let d(k) = -9*k - 2. Let z(m) = -3*d(m) - 2*g(m). Determine -4*c(t) - 3*z(t). 5*t Let o(n) = n. Let f be (-9)/(-2)*(-2)/(-3). Let j = f + -7. Let v(a) = a**2 + 4*a. Determine j*o(r) + v(r). r**2 Let f(k) be the second derivative of -5*k**3/6 + 2*k**2 - k. Let t(o) = 9*o - 7. Suppose -4*d + 24 = -2*g, 0 = 4*d - g - 4*g - 18. Give d*f(l) + 4*t(l). l Let u(p) = 35*p + 5. Let q(z) = -385*z - 56. What is 5*q(i) + 56*u(i)? 35*i Let x(l) = l**2 + 19*l - 3. Let s(y) = -y - 1. What is 3*s(o) - x(o)? -o**2 - 22*o Let q(k) = -5*k**2 - 7*k + 4. Let x(f) = -f + 1. Determine -q(c) + 4*x(c). 5*c**2 + 3*c Let a(w) = -165*w + 18. Let u(f) = -47*f + 5. Give 5*a(c) - 18*u(c). 21*c Let y(h) = -h**2 + 1. Let t(a) = 4*a**2 + 2*a - 6. Let v(x) = t(x) + 6*y(x). Let w(q) = -q. Determine v(l) + 3*w(l). -2*l**2 - l Let j(t) = t + 1. Let i(q) = 1. Give 4*i(r) + 2*j(r). 2*r + 6 Let s(d) = -11*d - 1. Let n(t) = 34*t + 3. Calculate -4*n(k) - 11*s(k). -15*k - 1 Let c(q) = 2*q**3 + q**2. Suppose -5*v + 5*j = -15, 3*j = -3*v - 0*v + 3. Let i(z) = -z**2. Determine v*i(y) - c(y). -2*y**3 - 3*y**2 Suppose 3*d + 0*y - 18 = -4*y, 2*y = 2*d - 12. Let i(g) = 7*g - d*g + g + 1. Let x(f) = 2*f + 2. Give 5*i(t) - 4*x(t). 2*t - 3 Let p(k) = -12*k**3 + k**2 - 3*k + 3. Let v(x) = 25*x**3 - 2*x**2 + 7*x - 7. What is 7*p(u) + 3*v(u)? -9*u**3 + u**2 Let h(w) = -w + 1. Let s(r) = -96 + 51 - 2*r + 46. Calculate -5*h(o) + 3*s(o). -o - 2 Let b(r) = -2*r**2 + 3*r. Let t(c) = 7*c**2 - 13*c. What is 26*b(q) + 6*t(q)? -10*q**2 Let k(z) = -2*z**3 + 9*z**2 + 9*z + 3. Let x(m) = m**2 + m + 1. Let l(t) = k(t) - 6*x(t). Let s(y) = -2*y**3 + 2*y**2 + 2*y - 2. What is 2*l(d) - 3*s(d)? 2*d**3 Let g(v) = 5*v**3 + 2*v + 3. Let r(n) = -n. What is g(d) + 2*r(d)? 5*d**3 + 3 Let s(n) = 1. Let x(v) = 2*v - 8. What is -10*s(g) - x(g)? -2*g - 2 Suppose -y + 5*d + 3 + 5 = 0, 3*d = y - 8. Suppose 2*h = -t - 0*h + 10, -4*t + 4*h = y. Let p(w) = w**2 - w + 1. Let z(f) = -2*f + 2. What is t*p(o) - z(o)? 2*o**2 Suppose -3*v - 3*h = -18, 2*v - 5*h + 5 = 3. Let z(m) = -7*m**3 - 4*m**2. Let f(x) = -15 + 15 - 9*x**2 - 15*x**3. What is v*f(k) - 9*z(k)? 3*k**3 Let y be (1/(-2))/(18/8 + -2). Let x(h) = h**3 + 3. Let l(v) = -v**3 - 2. Calculate y*x(z) - 3*l(z). z**3 Let n(x) = -x + 1. Suppose 5*y + l = -0*l + 13, 3*l + 3 = -y. Let k(g) = -2*g - 4. Calculate y*n(f) + k(f). -5*f - 1 Let k be 6/(-4)*(-56)/21. Let g(a) = 2*a + 1. Let u(j) = -j - j + 0*j - 1. Calculate k*u(d) + 3*g(d). -2*d - 1 Let o(z) = -10*z + 23. Let x(v) = -7*v + 15. Determine 5*o(n) - 8*x(n). 6*n - 5 Let t(c) = 2*c**2 - 2*c + 2. Let k be 2/(-7) - (-23)/7. Let n be 10/2*(-4)/(-10). Let d(j) = 6*j**2 - 21*j**2 + 12*j**2 - j**3 - 3 + 3*j. Give k*t(h) + n*d(h). -2*h**3 Let g(d) = d - 7. Let a be g(-8). Let u = a + 20. Let s(t) = -t**2 + 0*t**2 + 1 - 2. Let f(q) = -6*q**2 - 3. Calculate u*s(k) - f(k). k**2 - 2 Let z(f) = 1. Let t(k) = -k**2 + 8. Give -t(x) + 4*z(x). x**2 - 4 Let g = 21 + -19. Suppose 2*k + 51 = -3*s, 0 = 3*k + 2*k - g*s + 175. Let x(d) = -9*d**3. Let l(w) = -w**3. Give k*l(j) + 4*x(j). -3*j**3 Let z(y) = y**3 - 7*y. Let h(o) be the second derivative of 0 + 0*o**2 + 3*o + 0*o**4 + 1/20*o**5 - 5/6*o**3. Give -7*h(u) + 5*z(u). -2*u**3 Let v(l) = l - 4. Let x(t) = t. Let d(i) be the third derivative of i**4/24 + 17*i**3/6 - 6*i**2. Let j(z) = d(z) - 5*x(z). Give 6*j(n) + 26*v(n). 2*n - 2 Let v(k) = -95*k**3 + 19*k. Let b(r) = -19*r**3 + 4*r. What is 19*b(q) - 4*v(q)? 19*q**3 Let g(l) = -2*l + 6. Let y(h) = -h + 2. What is 2*g(b) - 7*y(b)? 3*b - 2 Let u(o) = o**2 - o. Let r(b) = -2*b**2 + 5*b - 1. Calculate r(n) + u(n). -n**2 + 4*n - 1 Let i(d) = -2*d + 7. Let s(u) = 4*u + 29. Let k be s(-8). Let t(r) = -5*r + 20. Give k*t(x) + 8*i(x). -x - 4 Suppose 5*t + 10 = 0, -2*f + 7 = -5*f - 5*t. Suppose 7*g - 3 = -10. Let k(q) = -q**3 + 1. Let u(v) = v**3 + v + 1. What is f*u(w) + g*k(w)? 2*w**3 + w Let i(m) = -3*m**3 + 5*m - 5. Let x(y) = 8*y**3 - 12*y + 12. Give -12*i(q) - 5*x(q). -4*q**3 Let k(r) = -r**3 - 5*r**2 + 4*r - 7. Let f be k(-6). Let s(z) = -z**2 - 5. Let d(o) = 1. Suppose -4*i + 14 = -2*u, 2*i = -u + 3*i - 3. What is f*d(p) + u*s(p)? -p**2 Let o(f) = 4*f - 6. Let y(q) = 3*q - 6. Give -2*o(n) + 3*y(n). n - 6 Let d(p) = -6*p - 5. Let q(v) = -30*v - 24. Determine 24*d(a) - 5*q(a). 6*a Let t(g) = 35*g - 3. Let z(j) = -104*j + 8. Calculate 8*t(l) + 3*z(l). -32*l Let k be (1 - 6)/(2/(-2)). Let i(y) = 2*y. Let q(v) be the first derivative of v**2 + 6. Determine k*q(j) - 6*i(j). -2*j Let x(l) = 6*l**2 + 3*l. Let r(a) = -a**2 + a. Determine -3*r(d) + x(d). 9*d**2 Let p = 4 - 6. Let r be 246/(-15) - p/5. Let d(q) = -22*q**2 + 22. Let g(l) be the second derivative of 7*l**4/12 - 7*l**2/2 + 2*l. Calculate r*g(o) - 5*d(o). -2*o**2 + 2 Suppose -5*l + 21 - 86 = 0. Let t(j) = -7*j**2 - 7. Suppose 3*w = -w + 28. Let x be -1 + 2 - w/1. Let c(s) = 15*s**2 + 15. Give l*t(i) + x*c(i). i**2 + 1 Let i(t) = 3*t - 9. Let h(f) = -6*f + 0*f + 3*f. Let p(z) = 4*z - 1. Let s(y) = -5*h(y) - 4*p(y). Calculate -3*i(m) - 7*s(m). -2*m - 1 Let d(w) = -5*w**2 - 6*w - 3. Let k(q) = 2*q**2 + 3*q + 2. Let i(l) = -3*d(l) - 7*k(l). Let z(u) = -2*u**2 + 9*u + 14. What is 8*i(v) + 3*z(v)? 2*v**2 + 3*v + 2 Let p(l) = 9*l**3 - 21*l**2 + 21. Let s(a) = 11 - 2*a**3 + 0*a**2 - 6 + 4*a**3 - 5*a**2. Give 5*p(m) - 21*s(m). 3*m**3 Let z(k) = -9*k + 2. Let x(n) = 4*n - 1. Suppose -4*w - 21 = -85. Suppose 4*v - w = 12. Give v*x(i) + 3*z(i). i - 1 Let t(f) = f - 1. Let q(p) = 17*p**3 + 4*p - 4. Determine -q(b) + 4*t(b). -17*b**3 Let j(o) = o**3 + o**2 - o + 1. Let p(q) = 60*q**3 + 55*q**2 - 55*q + 55. Determine -220*j(h) + 4*p(h). 20*h**3 Let o(c) = c**3 + 13*c**2 - 3. Let z be o(-13). Let h(m) = m - 1. Let f(l) = -1. Determine z*h(i) + 2*f(i). -3*i + 1 Let w(x) = 1768*x**3 + 187*x**2 + 187*x. Let t(v) = 19*v**3 + 2*v**2 + 2*v. Calculate 187*t(a) - 2*w(a). 17*a**3 Let l(a) = -a**2 + 2*a - 2. Let c(g) = g**2 - 2*g + 2. Calculate 3*c(v) + 2*l(v). v**2 - 2*v +
{ "pile_set_name": "DM Mathematics" }
+ 2. Let a(o) = 2*o. Suppose -z - 2*j = -6, z + 0*j + 22 = 5*j. Let i(p) = z*s(p) - 5*a(p). Let g be (1 + -2)/((-2)/(-10)). What is i(g)? 6 Let p(k) = -8*k - 3. Let l(g) = -g. Let j(t) = 5*l(t) - p(t). Let b(q) = q**2 + 16*q + 13. Let c = -29 + 14. Let m be b(c). Give j(m). -3 Let w(i) = 2*i**2 + 1 - 4*i**2 - 5*i**2. Let f(p) = p**3 - 60*p**2 - 7*p + 5 - 4*p + 61*p**2. Let c be f(-4). Calculate w(c). -6 Let z(y) = 6*y + 2*y**2 - y**2 - 1 - 2*y**2. Suppose -5*w = b - 32, 1 = -b + 4*w - 12. Calculate z(b). -8 Let h(l) = -37*l**2 - 2*l**3 - l - 26*l**2 + 77*l**2 + 6. What is h(7)? -1 Let i be ((-10)/8)/(13/(-52)). Suppose 6 = i*u + 51. Let m(k) = -k**3 - 8*k**2 + 8*k - 4. Let x be m(u). Let l(b) = -b**3 + 6*b**2 - 5*b - 7. What is l(x)? -7 Let n(h) be the third derivative of -1/12*h**4 + 0*h + 8*h**2 + h**3 + 0. What is n(4)? -2 Let i = 16 + -13. Suppose -i*p = q - 10, -5*q + 6 = -3*p - 8. Let x(k) = -4*k + 4*k**p + 6 + k - k + k**3. Determine x(-5). 1 Let t(c) = c**3 - 4*c**2 + 4*c - 3. Let i = -11 - -15. Let y be (-23 - 4) + -7 + i. Let f = 32 + y. Calculate t(f). -3 Let z(v) be the second derivative of -5*v**3/6 - v**2 + 3*v - 57. Calculate z(-1). 3 Let g(y) = 8*y**3 - 6*y + 1. Suppose -5*i = -4*f + 36 - 125, 5*i = -3*f + 82. Let h(d) = 23*d**3 - 17*d + 3. Let u(w) = i*g(w) - 6*h(w). Determine u(-1). 1 Let x = -8 - -7. Let b = 5 + x. Suppose b = -2*q - 0*q. Let p(l) = l**2 + 3*l + 1. Give p(q). -1 Let u(f) = -f**3 + f**2 - 106 - 2*f + 4*f**2 + 107. Give u(4). 9 Let b(r) = 13*r - 11*r + 882 - 880. Calculate b(1). 4 Let c(h) = h**3 - 6*h**2 + 2. Let v be c(6). Let n be (-9)/v*(-12)/(-9). Let u be 1/((4 - 1)/n). Let y(a) = 4*a**2 + 2*a + 1. Determine y(u). 13 Let l be 5/(-30) - (-65)/30. Suppose -w - 18 = 4*z, 0*w - 5*z = 4*w + 17. Let f(k) = k**2 + 2 + 0*k**2 + l + 3*k + w*k. What is f(-4)? 0 Let s(n) = -n**2 + 4*n + 3. Let r(u) = -19*u**2 + 24*u - 1. Let k be r(1). Determine s(k). 3 Suppose -2*g = 2*y + 24, 4*g + 8 = y + g. Let j(p) = -3*p - 5. Calculate j(y). 16 Let d(s) = -4*s - 26 - 9 - s**3 + 6 + 4*s. What is d(0)? -29 Let q(n) = -13*n - 37. Let r be q(-3). Let o(l) = 2 + 2*l**2 - 2*l - 4 + 2 + 1. What is o(r)? 5 Let d(k) be the second derivative of k**4/12 - 4*k**3/3 + k**2 + 152*k. Determine d(9). 11 Let m(a) = -70 + 40 + 2*a + 30. Calculate m(-8). -16 Let o(c) = c**2 + 4*c - 8. Suppose 106 = -15*b + 31. Calculate o(b). -3 Let n = -12 + -27. Let c(a) = -a**3 - 38*a**2 - 2*a - 40. Let h be c(-38). Let j = n + h. Let k(i) = -i**2 - 3*i + 1. Determine k(j). 1 Let z(j) = -j**3 - j**2 - 2*j + 1. Suppose -7 = -k + p, -3*k - 2*p + p + 13 = 0. Suppose 0 = -a - l + 2*l - 1, 3*a = -k*l - 11. What is z(a)? 9 Let m(n) be the third derivative of -n**5/60 - 13*n**4/24 - 4*n**3/3 - 25*n**2 - 2*n. Give m(-9). 28 Let w(o) = 16*o**3 + 32*o**2 - 9*o + 2. Let r(x) = -7*x**3 - 15*x**2 + 4*x - 1. Let f(k) = 9*r(k) + 4*w(k). Give f(8). 63 Let f = 1353 - 1364. Let y(q) = -q - 3. What is y(f)? 8 Let k(i) = -i**3 - 12*i**2 + 14*i + 8. Let n(u) = u**2 - 8*u - 22. Let v be n(9). Give k(v). -5 Let p = 8 - 3. Suppose a = -3 + p. Let q(l) = 23*l - 10*l - 4*l - 7*l. What is q(a)? 4 Let v(x) be the first derivative of -x**2/2 + 7*x + 2. Let d be -7*(248/(-28) + 8). Determine v(d). 1 Let b(q) = q**2 - 4*q + 2. Let p be b(4). Let y = 8 - p. Suppose d + 5 = y*j - 2*j, d + j = 0. Let r(k) = -11*k**2 - k - 1. What is r(d)? -11 Let l = -29 + 17. Let y(j) = j**3 + 13*j**2 + 10*j - 17. Let i be y(l). Suppose -i = -2*f + 3*p - 1, 0 = -2*f + p + 2. Let s(o) = o + 2. Determine s(f). 2 Let x(i) be the first derivative of i**4/4 + 2*i**3 + 5*i**2/2 - 3*i - 60. Let m(a) = -a - 3. Let z be m(-7). Suppose -z*j = 19 + 1. Calculate x(j). -3 Let j be (6*3)/((-3)/(-2)). Let t = j - 10. Let b(u) = -8*u - 22*u**t - 6 + 21*u**2 + 1. What is b(-7)? 2 Let r(u) = -u**3 + 6*u**2 - u. Suppose 0 = -6*g + g - 5*c - 170, 5*g + c + 186 = 0. Let w = g + 44. Give r(w). -6 Let w(y) be the second derivative of y**5/60 + y**4/12 + y**3/2 + 13*y**2 - 2*y + 2. Let a(f) be the first derivative of w(f). Calculate a(-3). 6 Let l = -523 - -537. Let c(h) = -h**3 + 14*h**2 + h - 16. What is c(l)? -2 Let r be 12/16 + (-237)/12. Let q = -14 - r. Suppose q*c - 2*i + 30 = 0, -3*i = -0*c - 3*c - 27. Let t(p) = -p**2 - 4*p. Give t(c). 0 Let n(g) = -5*g**2 + 12*g + 19. Let p(a) = -11*a**2 + 24*a + 39. Suppose -10*z = -12*z - 12. Let f(i) = z*p(i) + 13*n(i). Give f(-11). 2 Let s(p) = -18*p - 513. Let i be s(-29). Let g(f) = 4*f + 9. What is g(i)? 45 Let j(z) = -6*z - 5*z - 10 + 47. Let q be j(4). Let l(i) = -i + 3. What is l(q)? 10 Suppose -2 = 2*q - 4*l, -3*q - 6*l + 9*l - 6 = 0. Let m(b) = 2*b**2 - 3*b - 1. Determine m(q). 26 Let o = -182 - -184. Let k(q) = 8*q**2 - 4*q + 2. What is k(o)? 26 Suppose -2*x - 3*w = 9, 3*x + 8 = -0*x + w. Let n be (x - -2)*4*-1. Let l(z) = 2*z**2 - 4*z + n*z - 1 + 0*z. Calculate l(-1). 1 Let n(d) = -7*d**3 + 6*d**2 - d + 4. Let c(x) = -3*x**2 + 4*x**3 + 226*x - 226*x - 2. Let z(q) = 5*c(q) + 3*n(q). What is z(3)? -7 Let d(g) = -72*g - 2*g**2 - 3*g**2 + 2*g**2 + 62*g + 3 + 4*g**2. Give d(12). 27 Let p(j) be the second derivative of -j**7/840 + j**6/90 + j**5/30 + 5*j**4/24 - 5*j**3/2 - 21*j. Let g(c) be the second derivative of p(c). Determine g(4). 21 Suppose 0 = 5*r - 2*h - 20, -3*r - 4*h = h + 19. Let z(v) = 11*v**2 + 0 + 0 - 7*v**r - 1 + v + v**3. Calculate z(-4). -5 Let z(l) be the third derivative of l**4/6 + 4*l**2 + 5*l + 3. Let c(k) = k**2 + 4*k + 2. Let t be c(-4). What is z(t)? 8 Let l(n) = n - 37*n**2 + 71 + 38*n**2 - 65 - n**3. Determine l(0). 6 Let x(l) be the second derivative of l**4/12 + l**3/3 - l**2 - 168*l. What is x(-4)? 6 Let p(j) = -3*j + 19. Let c(d) = -d + 9. Let f(x) = 13*c(x) - 6*p(x). Suppose -5*y = -95 - 75. Let b = y + -37. What is f(b)? -12 Suppose 4*a = 3*f + 3*a - 28, -3*f + 24 = -3*a. Let c(i) = i**3 - 11*i**2 + 8*i + 2. Determine c(f). -18 Let r be ((-2)/(-4))/((-2)/(-20)). Let c(k) be the first derivative of -k**5/120 + 7*k**4/24 + k**3/3 + 60. Let p(n) be the third derivative of c(n). Give p(r). 2 Let j(n) = 9*n - 7. Let p(s) = -7*s + 6. Let g(c) = -5*j(c) - 6*p(c). Determine g(2). -7 Let l be (297/(-36))/(2/(-24)). Suppose -5*a - 5*f + l = -2*f, 3*a + 2*f - 59 = 0. Let k(i) = 47*i - a*i - 27*i. What is k(-7)? 7 Let r(n) = n - 3*n + 26 - 25. Suppose -3*t + 9 - 6 = 0. Give r(t). -1 Let l(h) = -3*h - 1. Let w be -2 + 21 + (-6)/2. Suppose w = -9*n + 5*n. Determine l(n). 11 Let i(t) = -2*t**2 + 15*t + 10. Let f be i(8). Let o(z) be the third derivative of z**3 - 1/24*z**4 + 0 + 0*z - 2*z**f. What is o(0)? 6 Suppose -2*b = w - 9, 2*b + 5*w + 0 = 5. Let m be 5*(5/(b/(-3)) + 2). Let o(j) = -j**2 - 4*j + 7. Determine o(m). 2 Let p = 17 + -24. Let c(m) be the second derivative of m**5/20 + m**4/2 - 3*m**3/2 - m**2/2 - 90*m. Give c(p). 13 Let t(f) = -2*f - 1. Let l be t(-1). Let i(p) be the first derivative of p**2 - 2*p**2 - 2*p**2 + 5*p**2 + 4. What is i(l)? 4 Let f = 8 - 2. Let n = -9 - -11. Let y(u) = 1159*u**2 - 1160*u**n - 4 - 3 + 9*u. Calculate y(f). 11 Let g be 75/(-60)*(1 + 3)/(-1). Suppose -4*i + 13 = 3*m, g*i - 19 = m - 2*m. Let q(w) = -2*w + 6. Determine q(i). -2 Let h(l) be the third derivative of l**4/24 + 4*l**3/3 - 24*l**2. Let a be 324/(-45) + 1/5. Determine h(a). 1 Let h(x) = -x**2 - x + 1. Suppose -4*r + r + 3 = 0. Let y be h(r). Let o(j) = -13 + j - 18 + 25 + 19 - 12 + 9*j**2. Calculate o(y). 9 Let g(i) = -22*i**2 + 4*i - 12 - 20 + 27. Let c(r) = -15*r**2 + 3*r - 3. Let p(s) = 7*c(s) - 5*g(s). Let k(a) = -a**2. Let b(m) = 6*k(m) + p(m). Give b(0). 4 Let p(z) = 139*z**3 - 26*z**2 + 3*z + 5. Let o(m) = -49*m**3 + 9*m**2 - m - 2. Let b(s) = 17*o(s) + 6*p(s). Let a = 7 + -4. What is b(a)? -1 Let p(b) = 3*b**2 + 16*b - 5. Let w be p(-5). Let x(s) = -s - 4. Determine x(w). 6 Suppose -120 + 126 = -2*c. Let l(m) = 51 - 47 + 4*m - m**3 - 3*m**2 + 0*m**3. Calculate l(c). -8 Let v(c) = 6*c**2 + 3*c - 2. Let b(g) = -13*g**2 - 7*g + 5. Let s(r) = 4*b(r) + 9*v(r). Give s(1). 3 Let f(b) = b**2 - 1. Suppose -2*r - 40 = 6*r. Let u(a) = a**2 - a - 3. Let t(d) = r*f(d) + 2*u(d). What is t(-2)? -9 Let s(v) be the third derivative of -v**6/120 + v**5/60 + v**4/24 - v**3/3 + 363*v**2. Give s(0). -2 Let t(r) be the first derivative of r**2/2 - r + 3. Suppose -h +
{ "pile_set_name": "DM Mathematics" }
- q. Let w = -115.2 + 112.2. Which is the closest to k? (a) -1 (b) w (c) -0.6 c Let l = 34 + -34.38. Let o = l + 0.08. Let v = -1727/4 - -1729/4. Which is the nearest to -1? (a) v (b) 4 (c) o c Let h = -44.06 - -44.36. Which is the nearest to -1.1? (a) h (b) -2/17 (c) -4 (d) 0.2 b Let n = 2189.6 - 2191.6. Which is the closest to 712? (a) -3 (b) 4 (c) 0 (d) n b Let h = 74.317 + -73.9. Let v = h + -0.317. Which is the nearest to v? (a) 3/2 (b) -14 (c) 6 a Let q = 17.18 - 87.08. Let x = -70 - q. Let g = -10/11 + 9/22. What is the closest to g in -1, x, 2? x Let a = -110 - -110. What is the nearest to a in 2, 80, -4? 2 Let v = 2 - 4. Let m be (6/(-10))/((-4)/10). Let z = -8197 - -24590/3. What is the nearest to m in v, -3, z? z Suppose 742*n - 84 = 721*n. What is the closest to -2 in 2/23, -0.1, n? -0.1 Let k = -134.1 - -145.08. Let v = 11 - k. Let q = -17 + 18. What is the nearest to q in 2/7, v, -0.4? 2/7 Let m = 2532 + -5065/2. What is the closest to 3/14 in -0.2, -1/7, m? -1/7 Suppose 3*v + 6*g - 4*g = 19, 5*g - 25 = -3*v. Let k be v*(5 - (7 - 3)). Which is the closest to -3/5? (a) -24 (b) k (c) 0 c Let q be (24/(-14))/((-9)/189). Let d be -1*(q - 0) - -1. Let f = -103/3 - d. Which is the closest to -1? (a) -5 (b) 0.1 (c) f b Let s = 0.13033 + -0.13033. What is the nearest to s in -2/7, 3/5, 1, 0.84? -2/7 Let m = 32.01 - 31.91. What is the closest to 0 in 3/5, m, -0.4, 0? 0 Let s be 10 - ((-180)/(-8) + -13). What is the nearest to 1/4 in s, -1/12, -0.1, -3/2? s Let v = 164 + -68. Let t = v + -99. Which is the closest to -0.1? (a) t (b) -7 (c) 1 c Suppose -39 = 3*n - 3*w, 3*n - 6*n - 3*w = 51. Let z be (n/3 + 3)/(2*2). What is the nearest to 16 in z, -4, -0.1? -0.1 Suppose -5*u + u - 4*r = 12, 4*r = -3*u - 8. Let x be (u/7)/((-80)/(-56)). Which is the nearest to x? (a) 3 (b) -3/5 (c) 2/31 b Suppose 49*o + 98 = -30*o - 19*o. What is the nearest to -0.1 in 1, -5, o, 0.24? 0.24 Suppose 20 = -2*y - 3*y. Let w be (-3)/(-1 - 2)*y/(-16). Which is the nearest to w? (a) 1/3 (b) -4/5 (c) -0.1 a Let w = -66384.9 - -66385. Suppose -6*b + b = 20. Let i = 0.2 + -0.6. What is the closest to 0 in i, w, b? w Let f = 5 - 6. Let a = 0.31 - 0.32. Let i = a - 0.09. What is the closest to -2/3 in i, f, 0.4? f Let v(z) = 13*z - 2. Let r be v(-2). Let u be (-6)/r - (-2)/7. Let t = -31120.8 - -31121. Which is the closest to u? (a) -17 (b) -0.1 (c) t c Let k be (-9)/108 - (-3)/12. Let j = -102 + 103. What is the nearest to 0.1 in -1/3, j, 10, k? k Let k = -5268 + 5276. Which is the closest to 0? (a) 0.9 (b) 0 (c) k (d) 5 b Let y = -251/8 - -249/8. What is the nearest to -4 in -0.19, 2/9, y? y Let m = 3 - -74. Let q = -76 + m. Let p = 4 - q. What is the closest to -1 in 1/6, -1, p? -1 Let v = -214.4 + 214.8. Let k = -0.053 + 0.353. Which is the closest to 0? (a) k (b) v (c) 1 a Suppose -9*i + 261 = 243. What is the closest to -1 in -5, 11, i, 22? i Let w(p) = 31*p - 83. Let v(r) = 34*r - 84. Let n(x) = 6*v(x) - 7*w(x). Let k be n(6). Which is the closest to 1? (a) k (b) 0.078 (c) -0.1 b Let z = 0.26519 + 333.71481. Let w = -334 + z. Which is the nearest to -1? (a) w (b) 0 (c) 10 (d) 0.2 a Let x = 121/1010 + -2/101. Let g = -4 + 3.89. Let i = 0.41 + g. What is the nearest to -0.4 in i, -2, x? x Let t = -27 - -48. Let q = t - 37. Let o = q + 11. Which is the nearest to -4? (a) 2/11 (b) -1 (c) o c Let y = 218.96 - 105.26. Which is the closest to y? (a) -0.4 (b) -4 (c) 4 c Suppose -12 = 4*x, -107 = -5*z - 3*x - 106. What is the closest to -1 in 5, 1/2, -19, z? 1/2 Let p = 2145.89 - 2146. What is the nearest to 4 in p, -4/5, 3? 3 Let r = 24.912 + 0.688. Let m = -24.6 + r. Which is the closest to m? (a) -0.2 (b) -4 (c) 4 a Let t = 176 + -175.9. Let f be -4 + 5*12/14. Which is the nearest to t? (a) -3 (b) -4 (c) f c Suppose 2*j = -5*f - 18, -3*j + 2 = -2*f - 9. Suppose u = 3*a - j - 0, 0 = 3*a + u - 5. Let h = -973/5 - -194. What is the closest to 0 in 6, h, a? h Let u = -383 + 377. Let n be 20/u + 204/68. Which is the closest to n? (a) -4/5 (b) -4 (c) 3/2 a Let g = 15844/13245 - -10/2649. Which is the closest to -3? (a) g (b) -3 (c) 23 (d) 3 b Let o = 81 - 72. Suppose -o = y + 2*n, -13*y + 9*y - 5*n - 30 = 0. Suppose 2*j + 4 = -g, -2*j = 3*j + 15. Which is the nearest to -6? (a) g (b) y (c) -0.1 b Suppose 5*r = -m - 15, 2*r = -3*m - 0 - 19. Let l be r/(-4)*2/(-3). Let t be 16 + 665/(-84)*2. Which is the nearest to -2/5? (a) l (b) t (c) 0.1 a Let g = 1973 + -1972. Which is the nearest to -1/3? (a) g (b) -1 (c) 54/17 (d) -0.4 d Let z = 0.1488 - 125.1288. Let k = -125 - z. What is the nearest to 3/7 in -0.5, k, 1? k Let p be -11*(214/22 + (-27 - 9568/(-352)) + -10). Suppose 5*v + 10 = 5*x, 0*x - 4*x - 3*v - 20 = 0. Which is the closest to 2/51? (a) p (b) x (c) -1/2 c Let k = -0.79 + -0.01. Let m be (-1331 - -1299) + (-844)/(-26). What is the closest to -1 in 1, m, k? k Suppose -400 = -8*w + 248. Let p = w + -244/3. Which is the nearest to 0.9? (a) 2/5 (b) p (c) 5 (d) -0.2 a Let n = -6.1602 - -6.2602. Let g = -14/3 + 64/15. Which is the closest to g? (a) n (b) 0.3 (c) 8 a Let m = 8417/110 + -1701/22. Which is the closest to 1? (a) 335 (b) m (c) -3 b Let q = -2573 + 2573.125. What is the nearest to -1 in q, 0, 2, -0.3? -0.3 Let u be ((-42)/(-54))/(152/(-171)). Which is the nearest to u? (a) -2 (b) 2/3 (c) -4 (d) -1 d Let f = -3.1 + 3. Let q = -0.47927 - -0.87927. Which is the closest to -0.1? (a) f (b) -2/7 (c) q a Let x = 239/6 - 40. Let d = 690 + -691. Which is the nearest to 0? (a) d (b) 3/4 (c) x c Let y = -4134.4 - -4131. Which is the nearest to 1/2? (a) 2/7 (b) 1 (c) y (d) 0.8 a Let t = -244 - -245. Let i be ((-1310)/(-42))/((-8)/24). Let y = -94 - i. Which is the closest to t? (a) 3 (b) y (c) 4 b Let r = 0.895 + 0.105. Let i = -5/51 + 13/17. What is the nearest to 2 in i, -0.1, r? r Let s = 14/9 + -11/9. Let x = 12181 + -12184. Which is the nearest to s? (a) x (b) 1 (c) 1/4 c Let i = -2.948 - -9.948. Which is the closest to -0.5? (a) i (b) -2/7 (c) 9 b Let f = -1135 + 552. Let g = 588 + f. Which is the nearest to 1? (a) 5/3 (b) -3/17 (c) g a Let m = -2/47 - 88/141. Let w = -5.43 + 3.43. Which is the closest to w? (a) 0.1 (b) -0.5 (c) m c Let x = 0.02036 + -0.02036. What is the nearest to x in -0.1, -179, 3/7? -0.1 Let k = 243 + -149. Let l = k + -93. Let p = -5 + 10. Which is the nearest to 1/3? (a) l (b) 0 (c) p b Let v = -15899 + 15895. Which is the closest to -34? (a) 1/2 (b) -1/9 (c) v c Let l = -5020 - -5020.3. Let o = -237/4 - -59. Which is the nearest to 5/6? (a) l (b) -3 (c) o a Let d = -7 - 25. Let w = d - -35. Suppose 4*u + 5*f - 9 = 0, 4*u + 5*f - 7 = 2*f. Which is the closest to u? (a) w (b) -4/5 (c) -1/2 c Let r = 96.14 - 96.64. Let z = 0.2 - 0.2. Let y = 0.18 - 0.08. What is the closest to y in 11/5, r, z? z Let g = -1207.39 - -1213. Let c = g + -0.61. Let l(q) = -3*q + 17. Let p be l(6). What is the closest to p in 1, c, -0.2? -0.2 Let k be (3/4 - 497/1420)*5/18. What is the nearest to 1 in -1/4, -0.05, 2, k? k Let q = 287 + -106. Let w = -176 + q. What is the nearest to -9 in -2/7, -2/17, w? -2/7 Let u = 9426 + -9417. Which is the nearest to u? (a) -6 (b) -3/8 (c) -3 (d) 2 d Let g = -5663 + 5668. Let j = -0.2 + 0.1. Which is the nearest to j? (a) -1/5 (b) g (c) 0.24 a Let m = -4277.06 + 4362. Let i = 85 - m. What is the nearest to 0 in 0.1, 2, i? i Let p be 26/(-6) + (-7)/(-21) + 3. Suppose -5*o + 2 = -4*o. Which is the closest to p? (a) 5 (b) o (c) 1 c Let n = -5330.4 + 5330. What is the nearest to 0 in -1/7, n, 101? -1/7 Let c = -5.4 - -5. Let w be (-2)/(-27) + (-289800)/8505. What is the nearest to 1 in c, -1, w? c Let w = 10849 + -10850. Which is the nearest to -57/8? (a) -0.4 (b) -0.7 (c) w c Let d(s) = 4*s**2 - 34*s + 52. Let p be d(6). What is the nearest to 1/5 in 0.3, 9, -1/4, p? 0.3 Suppose -296*f = -288*f + 2088. What is the closest to 0 in 4, f, -0.5? -0.5 Let m = -2/114239 - 129661031/13365963. Let r = 88/9 + m. Which is the nearest to r? (a) -0.4 (b) 2/13 (c) 3/7 b Let i = -16201 - -16140. Which is the closest to i? (a) 3 (b) -0.2 (c) -0.3 (d) 6 c Let m = 0.3 - -0.7. Let x = -398 + 397.8. L
{ "pile_set_name": "DM Mathematics" }
ms in -148034*b**2 + 444487*b**2 - 148197*b**2 - 148071*b**2. 185*b**2 Collect the terms in 2*c + 163 - 524 + 213 + 201. 2*c + 53 Collect the terms in -37 - 184417*h**3 + 71 - 34. -184417*h**3 Collect the terms in 285 - f - 1196 + 63. -f - 848 Collect the terms in 5588 + 40*c + 5581 - 11169 - 3003*c. -2963*c Collect the terms in 3*r**3 + 97*r - 85*r - 210*r**2 - 213*r**2 + 423*r**2. 3*r**3 + 12*r Collect the terms in -1180*o - 1156*o + o**3 - 29*o**2 - 9*o**2 + 2336*o. o**3 - 38*o**2 Collect the terms in -122 - 23 + 3606*m + 24 - 3604*m - 46. 2*m - 167 Collect the terms in 249*b - 741 - 502*b + 373 + 368 + 254*b. b Collect the terms in 2*j**2 - 6 + 2398*j + 11 - 2398*j + 2 - 2. 2*j**2 + 5 Collect the terms in -123*m**2 + 1351*m**2 - 383*m**2 + 823*m**2. 1668*m**2 Collect the terms in 1848 + 5*l**3 - 11*l - 26*l + 3*l + 34*l. 5*l**3 + 1848 Collect the terms in 60*a**2 - 121*a**2 + 36*a**2 + 13*a**3 + 25*a**2. 13*a**3 Collect the terms in 1468*x - 4242*x + 1397*x + 1402*x. 25*x Collect the terms in -5180*f + 5180*f + 143960*f**2. 143960*f**2 Collect the terms in -1799512948 - 4*o + o + 1799512948. -3*o Collect the terms in -4*z - 18809692046 + 18809692046. -4*z Collect the terms in -277*x**3 + 275*x**3 + 17250530*x - 17250530*x. -2*x**3 Collect the terms in -50225*h**2 + 12559*h**2 + 12560*h**2 + 12572*h**2 + 12552*h**2. 18*h**2 Collect the terms in -332*s - 17*s - 937*s - 534*s. -1820*s Collect the terms in -2048278*l + 4096886*l - 2048615*l. -7*l Collect the terms in 44*d**2 - 91*d**2 + 64*d**2 - 99*d**2 + 58*d**2. -24*d**2 Collect the terms in 18912 + 4*f**3 - 9450 - 9429. 4*f**3 + 33 Collect the terms in -121077876073 - 20*c + 121077876072 - 31*c. -51*c - 1 Collect the terms in 1029 + 5*p**2 + 20*p**3 + 1023 - 4103 + 1024 + 1027. 20*p**3 + 5*p**2 Collect the terms in -86 - 79 - 75 + 1177*v**2 + 240. 1177*v**2 Collect the terms in 715*g**3 + 2918*g**3 + 389*g**3 - 430*g**3. 3592*g**3 Collect the terms in 0*q - 43*q**2 + 6*q + 30*q**2 + 22*q**2 - 5*q + 30. 9*q**2 + q + 30 Collect the terms in -17590 + 46705*m**2 + 17590. 46705*m**2 Collect the terms in 296 - 296 + 4876*u**3. 4876*u**3 Collect the terms in 18416*t**2 + 0*t + t + 2443*t**2. 20859*t**2 + t Collect the terms in -1510 + 5*h**2 + 12*h**3 + 92*h**3 - 5*h + h + 1510. 104*h**3 + 5*h**2 - 4*h Collect the terms in -56*h**2 - h**3 + 6*h**2 - 67*h**2 - 165*h**2 + 57*h**2. -h**3 - 225*h**2 Collect the terms in -1670 + 316*d - 9*d**2 + 3*d**2 + 1670 + 2*d**2 + 6*d**2. 2*d**2 + 316*d Collect the terms in 52106*o**3 - 7980*o**3 + 64400*o**3 + 22253*o**3. 130779*o**3 Collect the terms in 13313 - 26593 + 13280 + 162*z**2 - 48*z**2. 114*z**2 Collect the terms in -305*g**2 - 16*g - 13 + 20*g**2 + 2 + 9. -285*g**2 - 16*g - 2 Collect the terms in 94 - 535*b**2 + 10*b - 136*b**2 - 92. -671*b**2 + 10*b + 2 Collect the terms in -43390*x + 18*x**3 - 12*x**3 + 43390*x. 6*x**3 Collect the terms in -21866478 + 43732956 + 58*j**2 - 21866478. 58*j**2 Collect the terms in 2509 + 2510 + 2505 - 7524 + 50*q. 50*q Collect the terms in 548015*h**2 + 547135*h**2 + 548024*h**2 - 1643176*h**2. -2*h**2 Collect the terms in -166517537 + 2*g**2 + 166517537. 2*g**2 Collect the terms in -795598 + 360090 + 224649 - 778549 + 3*k. 3*k - 989408 Collect the terms in 18959*l - 41061*l + 22104*l. 2*l Collect the terms in -9631882*f**3 - 9631740*f**3 + 19263790*f**3. 168*f**3 Collect the terms in 20369*g**2 - 121138*g**2 - 61189*g**2. -161958*g**2 Collect the terms in 6 - 385*u**2 + u**2 + 1391*u - 1393*u. -384*u**2 - 2*u + 6 Collect the terms in -17757*s**2 + 48043 - 48043 + 17752*s**2. -5*s**2 Collect the terms in -t - 2299*t**2 - 6*t**3 + 163 + 2299*t**2 - 3*t**3. -9*t**3 - t + 163 Collect the terms in -112*c**3 + 352*c - 176*c - 197*c. -112*c**3 - 21*c Collect the terms in 2*v**3 + 454538 - 454538 - 4*v**3 + v**3. -v**3 Collect the terms in -418*h**2 - 383*h**2 + 4*h**3 + 327*h**2. 4*h**3 - 474*h**2 Collect the terms in 3*r**2 - 51120367 - 3*r**2 + 1126*r**3 - 2224*r**3 + 51120367 + 1106*r**3. 8*r**3 Collect the terms in 458610*q - 229306*q + 3*q**2 - 229304*q - 2*q**2. q**2 Collect the terms in 397*v**2 + 353*v**2 - 1116*v**2 + 353*v**2. -13*v**2 Collect the terms in -193*u - 68*u + 299*u + 5 - 5 - 35*u. 3*u Collect the terms in 258*h**2 - h**3 + 1585*h - 66*h**2 - 3175*h + 1593*h. -h**3 + 192*h**2 + 3*h Collect the terms in 174151476138504*k**2 - 174151476138526*k**2 - 3*k + 3*k. -22*k**2 Collect the terms in -2346*o + 591*o - 178*o - 3436*o. -5369*o Collect the terms in -26598*z**2 + 82734*z**2 - 29588*z**2 - 26594*z**2. -46*z**2 Collect the terms in 542*f**2 + 95 + 73 + 2*f - 168 - 1776*f**2. -1234*f**2 + 2*f Collect the terms in -932 + 163956*z**3 + 932. 163956*z**3 Collect the terms in 377291 - 377291 + 1036*d**3. 1036*d**3 Collect the terms in -30 - 97*n - 13 + 65 - 22. -97*n Collect the terms in 14*i**3 + 54*i + 101*i - 74*i - 81*i. 14*i**3 Collect the terms in -4*q - 10963285 + q + 10963307. -3*q + 22 Collect the terms in -2*o**3 + 20*o**2 - 1915881497*o + 1915881497*o. -2*o**3 + 20*o**2 Collect the terms in 5341*k**3 + k - 973 + 973 - 5756*k**3 - k. -415*k**3 Collect the terms in 26*w - 32*w + 33976 - 13*w + 21*w - 33976. 2*w Collect the terms in 66919002 - 66919002 - 2*o. -2*o Collect the terms in -584*s**2 - 21 + 39 - 1224*s**2 - 240*s**2 - 17. -2048*s**2 + 1 Collect the terms in 140*g - 86299937*g**2 + 22*g + 86299934*g**2. -3*g**2 + 162*g Collect the terms in -9*v**3 + 7913 + 504 - 8417. -9*v**3 Collect the terms in 18*p - 42 + 49*p + 33 + 51 + 59. 67*p + 101 Collect the terms in -8*m + 280660 + 280589 - 6*m - 561249 + 0*m. -14*m Collect the terms in -50204*m + 150389*m - 50194*m - 49992*m. -m Collect the terms in 2571*f - 8215*f + 2889*f + 2854*f. 99*f Collect the terms in 48003*h**3 + 10*h**2 - 6*h**2 + 54181*h**3 + 130745*h**3. 232929*h**3 + 4*h**2 Collect the terms in -79*l - 99*l + 32279*l**2 + 178*l + 18182*l**2. 50461*l**2 Collect the terms in -35649*b - 39995*b - 35807*b + 145414*b - 39292*b. -5329*b Collect the terms in 7*v**2 + v**2 - 45*v**2 + 6*v**2 + 8*v**2. -23*v**2 Collect the terms in 1 - 1 + 7833048906*u**3 - 7833048884*u**3. 22*u**3 Collect the terms in -919*v**3 + 6657644*v**2 - 6657644*v**2. -919*v**3 Collect the terms in 18*w**2 + 75*w**2 + 51*w**2 + 28*w**2 + 57*w**2 + 3*w - 39*w**2. 190*w**2 + 3*w Collect the terms in 2*f**3 - 219433*f**2 + 163126*f**2 + 56307*f**2. 2*f**3 Collect the terms in -315 + 40*n - 18*n + 315 + 39*n. 61*n Collect the terms in -51697*y + 0 - 51701*y + 102796*y + 0. -602*y Collect the terms in -293*n**2 - 162*n**2 - 196*n**2 - 64. -651*n**2 - 64 Collect the terms in 35*w + 150*w + 136*w + 157*w + 53*w. 531*w Collect the terms in -8033250821 + 8033250821 - 95*v**2 - v**3. -v**3 - 95*v**2 Collect the terms in 103*w**2 - 77*w**2 + 72*w**2 - 76*w**2. 22*w**2 Collect the terms in -20009*b**2 - 1266*b + 2489*b - 1223*b. -20009*b**2 Collect the terms in 14752*r - 4*r**2 + r**2 - 2*r**2 - 3. -5*r**2 + 14752*r - 3 Collect the terms in 64 + 61 - 204 - 35 + 114 - 3*s. -3*s Collect the terms in -7329*u + 2293*u + 2589*u - 24904*u + 4. -27351*u + 4 Collect the terms in -90*b**2 - 145*b**2 + 45*b**2 - 108*b**2. -298*b**2 Collect the terms in 405 - 1291 + 6*p - 530 - 169. 6*p - 1585 Collect the terms in 8394*v - 8230*v + 133*v**2 - 134*v**2. -v**2 + 164*v Collect the terms in -82613*u - 82175*u - 82345*u + 330400*u - 82307*u. 960*u Collect the terms in -109937*r - 386 - 389 + 773. -109937*r - 2 Collect the terms in -82948179*f**2 + 41474180*f**2 + 41474000*f**2. f**2 Collect the terms in 2771*s**2 + 79*s - 79*s + 2827*s**2 - 8424*s**2 + 2825*s**2. -s**2 Collect the terms in 13934 + 7*m + 0*m + 2445. 7*m + 16379 Collect the terms in 1609618*b - 14 - 804762*b - 804858*b. -2*b - 14 Collect the terms in 14910 + 0*s**2 - 14910 - 3*s**2 - 57*s**3. -57*s**3 - 3*s**2 Collect the terms in -6*h**3 - 57*h**3 + 3258 - 3260. -63*h**3 - 2 Collect the terms in -15 - 25 + 152253*a + 40 - 152251*a. 2*a Collect the terms in -33932*l**2 - 35017*l**2 + 537630*l**2. 468681*l**2 Collect the terms in i - 4*i**3 + 8*i**3 + 1 - 2 - 4*i + 1005*i**2 - 737*i**2. 4*i**3 + 268*i**2 - 3*i - 1 Collect the terms in 298441645 + 2*x - 298441645. 2*x Collect the terms in 54*t**2 + 20*t**2 - 5 + 2 + 3 - 20*t**2.
{ "pile_set_name": "DM Mathematics" }
is the closest to 0.7 in -1, 1/7, 3, 2? 1/7 Which is the closest to 0.3? (a) -5 (b) 3 (c) 2/9 (d) 19 c What is the nearest to 0.2 in -0.5, 1/670, -0.2? 1/670 Which is the nearest to -9? (a) -0.05 (b) 0 (c) 0.2 (d) -5 d Which is the closest to 57? (a) 0.4 (b) -2/3 (c) 0.1 a Which is the nearest to -3? (a) 4 (b) -0.5 (c) 1.8 (d) -2 d Which is the nearest to 0.2? (a) -5 (b) 0.7 (c) -9 b What is the nearest to -19 in 4, -4, 0.2, 1/51? -4 Which is the nearest to 0? (a) 0.3 (b) 0.082 (c) 1/2 b What is the closest to 1/8 in 5, 3/2, -6? 3/2 What is the nearest to -0.1 in -0.02, -5, 2, 2/5? -0.02 Which is the closest to 1? (a) 2 (b) -2 (c) -22/7 a Which is the nearest to 1/5? (a) -1/4 (b) 0.1 (c) -2/7 (d) 1/16 b What is the closest to -2/3 in 6/23, 4, 4/3? 6/23 Which is the nearest to -2/9? (a) -5 (b) -2/9 (c) 1 (d) 4/3 b Which is the nearest to 0.1? (a) -10/181 (b) -5 (c) 0.2 c Which is the closest to -226? (a) -0.2 (b) 4 (c) -3 (d) -4 d Which is the closest to 2? (a) 1 (b) 1/8 (c) 1/4 a Which is the closest to 0.1? (a) 2 (b) -2 (c) -0.3 (d) 40 c What is the nearest to 2/7 in -1/4, -3, -11? -1/4 What is the closest to 1/4 in -0.08, -0.5, 1/2? 1/2 Which is the nearest to 0.06? (a) 5 (b) 0.03 (c) -83 b Which is the closest to -0.2? (a) 0.5 (b) 7 (c) -27 (d) -2/9 d Which is the closest to 0? (a) 1.9 (b) -4 (c) 3 (d) -0.3 d Which is the nearest to 0? (a) 0.3 (b) 3 (c) 2/7 c Which is the nearest to -0.3? (a) 4 (b) 0.1 (c) -3/4 b Which is the nearest to 1? (a) -0.05 (b) -9 (c) 0.5 c Which is the nearest to 4? (a) 15 (b) -3 (c) -5 b What is the nearest to 1.3 in -0.3, 15, -2/35, 1/2? 1/2 Which is the nearest to -3? (a) 5/6 (b) 2 (c) 1/9 c What is the closest to -0.13 in -2/5, 1, -5, 1/2? -2/5 Which is the nearest to 2? (a) 2/5 (b) -1/6 (c) 11 a Which is the nearest to 2/3? (a) -2/5 (b) -3 (c) 4.61 (d) -5 a Which is the nearest to -0.1? (a) -4 (b) -2 (c) 2/9 (d) 1 c What is the closest to -4 in -1/8, -2/9, 3, 0? -2/9 Which is the closest to 1? (a) 1 (b) -0.051 (c) 1/4 a Which is the nearest to -11/2? (a) -1 (b) 6/5 (c) -3 (d) 2/7 c Which is the nearest to 1? (a) -2 (b) 2 (c) -5 (d) 3 b Which is the nearest to 5? (a) 0 (b) 2/115 (c) -2/7 b What is the nearest to -0.2 in 14, -0.03, -4/7, 1/6? -0.03 What is the nearest to -3 in 3, -1, 10, 0.1? -1 What is the closest to 1 in -8, 0.01, 3/5, -0.01? 3/5 Which is the closest to 0? (a) 2/5 (b) 4 (c) 3 a Which is the nearest to 1/2? (a) 374 (b) -5 (c) -1 (d) -3 c What is the nearest to -0.2 in -0.5, -0.3, -4/7, -3? -0.3 What is the nearest to -0.2 in 1/9, 2/11, -3, -1? 1/9 Which is the nearest to 0.1? (a) -1/10 (b) 2 (c) 4/17 (d) 1 c Which is the closest to 1? (a) 4/5 (b) 0.3 (c) -2 (d) 14 a Which is the closest to 1? (a) -4/9 (b) 0.2 (c) 26 b What is the closest to 4 in 3, -2/15, 2, -1/5? 3 What is the closest to -1.7 in -0.2, 1, -5? -0.2 Which is the nearest to 14? (a) 1/2 (b) -2/3 (c) -1 (d) -5 a What is the nearest to 13 in -1.4, -0.2, 2/7, -5? 2/7 Which is the closest to 0.1? (a) 2 (b) -46 (c) 6 (d) 0.1 d What is the nearest to 0.1 in -2/7, 11, -1/16, 2? -1/16 Which is the nearest to 2/3? (a) 1/4 (b) 0.2 (c) 62 a What is the closest to 0.2 in -7, -14/9, -1/10? -1/10 What is the nearest to -1/3 in -3/5, -3, -2/3? -3/5 Which is the closest to 0.3? (a) -1 (b) -2/7 (c) 44/5 b What is the nearest to 0.1 in 0.5, 5, 4? 0.5 What is the closest to -0.04 in -4, -60, 0.4? 0.4 What is the nearest to -4 in -0.4, 3, -3, 0.062? -3 What is the closest to 0.54 in -0.2, 1, 5, 1/2? 1/2 Which is the nearest to -3/29? (a) 1 (b) -2/9 (c) 2/7 (d) 2/11 b What is the nearest to 0 in -4, -0.4, -1, 1/2? -0.4 Which is the closest to 4? (a) -0.3 (b) -0.2 (c) 3 c Which is the closest to -1? (a) 2 (b) -327 (c) 0.1 (d) 4 c Which is the closest to 2/5? (a) -0.2 (b) 0.04 (c) -0.4 (d) -9 b Which is the closest to -1? (a) -6 (b) 1/4 (c) 2/5 b Which is the nearest to 2/7? (a) -4 (b) -3/4 (c) -194 (d) -0.4 d What is the nearest to 1 in -1, -2, -4, 7.6? -1 What is the nearest to 1 in 1.2, -193, 1/8? 1.2 What is the closest to 2 in 1/4, 5, 3.1, 0.1? 3.1 Which is the nearest to -3? (a) 0.3 (b) 1 (c) 27/5 a What is the closest to 0 in 0, -2/3, 4/5? 0 Which is the nearest to 3? (a) -5 (b) -0.2 (c) -2 b Which is the closest to -3/4? (a) -5 (b) 0.07 (c) 0.5 (d) 1 b What is the closest to 0 in -5, 0.18, 3/2? 0.18 Which is the nearest to -10? (a) 2/3 (b) 1/3 (c) -2 c What is the closest to -4/3 in -3/8, 0.05, -5, 7? -3/8 Which is the closest to -2/5? (a) -2/15 (b) 1/6 (c) -0.06 (d) 0.5 a What is the closest to 2/3 in -2, 0.1, 0.2, -0.3? 0.2 Which is the closest to 4? (a) 16/11 (b) -2 (c) 0.2 (d) 1/2 a What is the closest to -0.1 in -1/21, -0.3, 18? -1/21 Which is the closest to -2/3? (a) -15/149 (b) -2/13 (c) 4 b Which is the nearest to 1? (a) 0.1 (b) -0.3 (c) 17 a What is the nearest to 36 in -6, -5, -3? -3 What is the closest to -6 in -3/7, -2, 277, 2? -2 Which is the nearest to 0? (a) -6 (b) 0.3 (c) 7 b Which is the nearest to 0? (a) 29 (b) -5 (c) -2/9 (d) -4 c Which is the closest to -1/3? (a) -15 (b) -1/3 (c) -0.06 b Which is the closest to -0.01? (a) 0.3 (b) 0.5 (c) 8/5 a Which is the closest to -0.5? (a) 0.4 (b) -1 (c) 0.5 b What is the nearest to -1 in 75, 0.2, 1? 0.2 What is the nearest to 0.1 in 4, -0.5, 1/7, 0.03? 1/7 What is the nearest to 1.1 in -4, -2, 0.02, -2/7? 0.02 Which is the nearest to -0.3? (a) 5 (b) -1/2 (c) -3 (d) -0.3 d Which is the closest to 73? (a) 4/7 (b) -1 (c) 1 c Which is the closest to -0.1? (a) -3 (b) 1/5 (c) 1 b Which is the nearest to -2? (a) 2/3 (b) 1/6 (c) -4 (d) -1 d Which is the closest to 1/18? (a) -1 (b) -2/13 (c) 3/56 c Which is the closest to -2/3? (a) -7 (b) -0.06 (c) 1 (d) 0.1 b What is the nearest to 2 in 1, 174, 4? 1 What is the closest to -0.8 in 1, 4, -4, 0.07? 0.07 What is the nearest to 0.1 in -2, -0.5, -5/6? -0.5 Which is the closest to 0? (a) -67/5 (b) 2/11 (c) 2 b Which is the nearest to 9? (a) -3 (b) -4 (c) 1.2 c What is the closest to -1 in -0.1, -0.2, 1.42? -0.2 What is the closest to -1 in -2/3, 1.2, 2, 2/5? -2/3 What is the closest to -33/5 in 4, 1, 2? 1 What is the closest to 9/8 in -4, 1.2, -2/5? 1.2 What is the nearest to 2/7 in 1/9, -2/7, 2? 1/9 Which is the closest to -0.2? (a) 0.3 (b) -0.4 (c) -24 (d) -2/13 d Which is the nearest to 0? (a) 1 (b) -2/9 (c) 0.5 (d) 4 b Which is the nearest to 2? (a) -0.3 (b) 3/2 (c) -2/9 (d) -0.9 b What is the closest to -0.1 in -1/43, 0.4, -0.1? -0.1 Which is the closest to -9? (a) 5 (b) 0.8 (c) -3/5 c What is the closest to -0.13 in -1/5, -30, -5? -1/5 Which is the closest to -0.1? (a) 4 (b) 9 (c) 5 a Which is the nearest to 24? (a) 2/11 (b) -2/13 (c) 0.1 (d) 4 d Which is the nearest to -3? (a) -0.4 (b) 3/4 (c) 0.7 a What is the nearest to 1 in 12, 1/3, -0.2, -8/9? 1/3 Which is the closest to -1/2? (a) 3 (b) -5 (c) -1/30 (d) 1 c Which is the closest to 1? (a) -13 (b) -1 (c) 5 b What is the nearest to 5 in -2/25, 2/7, 4, -3? 4 What is the nearest to 2 in -3, -6, 2/5, 0.2? 2/5 What is the closest to 8 in -3, 1, -7, 4? 4 Which is the nearest to 0? (a) 4.9 (b) -1/5 (c) -1/2 (d) -1 b What is the nearest to 0.1 in 2, 0.1, 2/45, -3? 0.1 What is the closest to 0.139 in -4, -3, 4? -3 Which is the closest to 0.2? (a) -6 (b) -0.3 (c) 1 (d) -121 b What is the closest to 1/2 in 0, -15/14, 4, -1/2? 0 What is the nearest to 0 in 5, 4, -0.4? -0.4 What is the closest to 0.2 in -0.05, -3/2, -0.6? -0.05 Which is the closest to 0? (a) -4 (b) 0.175 (c) 1/7 c What is the closest to -1 in 3/4, 2, 9, 4? 3/4 Which is the closest to -2? (a) -28/19 (b) 3/5 (c) 4 (d) 1/5 a What is the nearest to 0 in 1/3, -36, -4? 1/3 What is the closest to -1/3 in 13, -1/4, -0.2, 2? -1/4 Which is the closest to 0.2? (a) -4 (b) -3 (c) -24 (d) 4 b Which is the closest to -1? (a) -9 (b) 1 (c) -8/17 (d) -1/5 c What is the closest to 2 in 0.197, 0.3, -0.3? 0.3 What is the closest to 11 in 2, -1/3, 2/3? 2 What is the closest to -0.1 in -13, 2/5, -0.05, -2/15? -2/15 Which is the nearest to 0.1? (a) -1102 (b) -3/2 (c) 5 b Which is the
{ "pile_set_name": "DM Mathematics" }
16. Let i be c(5). Does 11 divide z(i)? False Let l(c) = -158*c - 150. Let x(z) = z**2 - 4*z - 22. Let s be x(6). Is 13 a factor of l(s)? True Let d(u) = -11 - 11 + 3*u**2 - 3*u**3 + 24. Let t be d(4). Let z = 321 + t. Is z a multiple of 46? False Is 235 a factor of 22786 + (27 - (16 - -2))? True Let q = 791 + -786. Is 101/(98/16 + (-1 - q)) a multiple of 37? False Let t(p) = 4*p**2 - p + 2. Let k be t(-4). Let f = 72 - k. Suppose -f*a = -4*l - 6*a + 52, -3*l = -2*a - 19. Does 3 divide l? True Let f = 1208 - -592. Suppose 8*k + f = -k. Does 10 divide -3*7/(84/k)? True Suppose 21*o - 54575 = 34414 + 26868. Is o a multiple of 11? False Let l = 607 - 604. Suppose j - 147 - 57 = 2*c, -l*j - 4*c + 652 = 0. Does 12 divide j? False Let k(u) = -u**2 - 10*u - 2*u - 4*u - 10. Let d = 1242 + -1253. Is k(d) a multiple of 15? True Let z(i) = -44*i - 179. Let p be z(-7). Suppose u - p = 222. Does 13 divide u? True Let r be (-11 - -16)*(-99)/(-15). Suppose 618*i - 617*i = r. Is i a multiple of 2? False Let y be 6/(19/((-95)/(-10))). Is 32 a factor of (5764/15 + (-34)/(-85))*y? False Let m be (160/56)/(0 + 6/(-21)). Is 1035/(-6)*m/15 a multiple of 7? False Let f = 25615 - 8723. Does 64 divide f? False Let y = 15920 + -5635. Is y a multiple of 55? True Suppose 0 = -w + 13 + 1. Let u = w + 23. Suppose -5*g - 39 = -3*z, 3*z - g - u = -10. Is 4 a factor of z? True Is -303 + 3598 - 14/1 a multiple of 20? False Suppose 217*v - 304819 - 827921 = 0. Is 47 a factor of v? False Let r = -33 - -36. Suppose -4*i + i - 101 = -v, 15 = -r*i. Suppose -3*x + v = -5*n, -2*n + 49 = 2*x + 3*n. Does 5 divide x? False Does 28 divide 122010/9*((-108)/(-15) + -6)? True Let v(k) = -14*k**3 + k - 1. Let y be v(1). Let a be 7/(-5) - (-180)/(-300). Let j = a - y. Is 8 a factor of j? False Let a be 10/(-15) - 11/(-3). Let f(b) = 2*b - 6. Let q be f(3). Suppose 4*c + a*l = 35, q*l = -2*c + 4*l + 12. Is c a multiple of 4? True Suppose -4*d + 24 = 2*d. Suppose 64 = d*n - 104. Let g = n + -26. Is 3 a factor of g? False Let o(d) be the first derivative of -29*d**4/2 + d**3/3 - d - 67. Is o(-1) a multiple of 6? False Let f(w) = 501*w**2 - w - 2. Let z be f(-1). Let t(p) = 8*p**2 + 2*p - 40. Let v be t(-7). Let j = z - v. Is 15 a factor of j? False Let s = -6061 + 7864. Is 36 a factor of s? False Let x(s) = -s**3 - 9*s**2 - 8*s - 1. Let w be x(-8). Let t be (140/24*-3)/(w/4). Suppose 2 = q - t. Is q a multiple of 18? True Suppose -1768*i = -1782*i + 52797 + 17203. Is 30 a factor of i? False Let m(g) be the third derivative of -g**5/60 - 7*g**4/4 + 6*g**3 + 126*g**2. Does 9 divide m(-15)? True Let d(v) = -v**3 - 22*v**2 + 107*v + 402. Does 119 divide d(-39)? False Let q(s) = 2*s. Let v be q(2). Suppose v*c = -5*m + 1, 0*c + 13 = m + 4*c. Is (69*1)/(m/(-2)) a multiple of 23? True Suppose -5*m - 31 = -2*d, -2*d + 4*m = -6*d + 48. Let g = 14 - d. Does 16 divide (-4 + 216/4)*g? False Suppose -422 + 27 = 5*p. Let z = p - -69. Is 57 a factor of ((-76)/z)/(-2 - (-488)/240)? True Let s be 5/10*8/(-1*2). Let u be (s - (-194)/4)*(5 - 3). Suppose -4*l + 3*d = 25 - 166, -2*l + u = 3*d. Is l a multiple of 13? True Let g(t) = 2*t**2 + 60*t - 22. Suppose 21*n + 311 = -403. Is 40 a factor of g(n)? False Let q(z) = z**2 - 34*z - 1243. Is 43 a factor of q(-64)? False Suppose j - 1 = 4. Let y = -488 + 503. Is 12 a factor of y/j + -6 - -85? False Let x = 9896 + -4141. Is 13 a factor of x? False Let x be (-2)/(-6) + 96/9. Let h(v) = -22*v - 15*v - x*v + 0*v - 4. Is 23 a factor of h(-2)? True Let p = 1131 - 2573. Let m(f) = 28*f**2 - 3*f + 2. Let o be m(2). Is 15 a factor of (-18)/o - p/12? True Let a(z) = 3*z + 77. Let n be a(-24). Suppose 5*w + n*w - 40 = 0. Suppose 2*c - 37 = -3*q + 3*c, 0 = 2*q - w*c - 8. Is q a multiple of 14? True Let u(b) = 4*b**3 + 13*b**2 - 8*b + 1. Let m(c) = c**3 + 0*c**3 + 7*c**2 - 7*c**2. Let g(a) = 3*m(a) - u(a). Is 18 a factor of g(-14)? False Let a(i) = -i**2 - 27*i - 48. Let n be a(-9). Let z = 249 - n. Is 9 a factor of z? True Let m = 451 + -170. Suppose -5*c = -1131 + m. Is c a multiple of 5? True Is 29 a factor of (-30)/(-9)*((-14858)/(-230))/(4/150)? False Let r = -8394 + 29670. Is 11 a factor of r? False Suppose 4*n = 9*n + 2*c - 2389, -6*n + c = -2894. Does 6 divide n? False Suppose n = -2*n + 222. Suppose 3*g + 59 = n. Suppose 10*u - 20 = g*u. Is u a multiple of 2? True Let o(f) = 6 - 26 - 23 - 89*f. Is 18 a factor of o(-6)? False Let b(n) = n**3 - 10*n**2 - 10*n - 7. Let v be b(11). Suppose 3*u + 8 = -v*y + 5*y, y + 2 = -2*u. Suppose y*m = 250 - 76. Is m a multiple of 38? False Let i(o) = -796*o - 1214. Is i(-2) a multiple of 18? True Suppose -7*q + 131 = s - 2*q, -4*q = -s + 95. Let w = s - -58. Is 19 a factor of w? False Does 45 divide (-15)/2*1380*(-100)/225? False Is 7 a factor of 28/42 + (-40738)/(-3)? True Suppose -4*g + 5475 = 5*j, -453 = -2*g + j + 2274. Suppose -13*c = -18*c + g. Suppose -6*o = -c + 87. Is o a multiple of 8? False Let d be -5*(-6321)/140 + (-3)/4. Suppose -d*w + 960 = -213*w. Is w a multiple of 20? True Let v(z) = z**2 + 29*z - 62. Let d be v(-31). Suppose d = m + q - 46 - 105, 4*m + q = 613. Is m a multiple of 23? False Let w be ((-1269)/(-2))/(90/(-120)). Let y = -660 - w. Does 34 divide y? False Suppose 14*f + 11*f - 408375 = -50*f. Is 9 a factor of f? True Suppose 0 = -86*n - 57549 + 852705. Is 67 a factor of n? True Let w be 8 + -2 + 0 + 6. Is (-523)/(-2) + 5 + (-54)/w a multiple of 6? False Suppose -54*w - 9460 = 55*w - 120*w. Does 172 divide w? True Let l(k) be the second derivative of 4*k**4 + k**3 - 3*k**2 - 3*k + 5. Is l(-3) a multiple of 34? True Let w(j) = 41*j + 8. Let h(i) = 2*i**2 + 21*i - 28. Let p be h(-12). Is w(p) a multiple of 42? True Let z(c) = 4*c + 24. Let b be z(-6). Suppose -3*h - 15 = b, -4*g - h + 4*h + 319 = 0. Is g a multiple of 5? False Suppose 3492 = -4*x - 3*d + 5*d, -3*d + 6 = 0. Let m = x + 1236. Does 26 divide m? True Let i = 1426 + -5. Is 7 a factor of i? True Suppose -g + 1227 = 18*p - 15*p, 0 = 3*g + 3*p - 3651. Is 6 a factor of g? True Let u be (-2)/(-4)*-3*-10. Suppose -1092 - 1113 = -u*a. Does 11 divide a? False Let s = 417 - 423. Is 4 a factor of 3/s*2*-31? False Let s(y) = -y**2 + 16*y - 18. Let f be s(14). Suppose -104 = -2*t + f*t. Let p = 41 - t. Does 18 divide p? True Suppose 66*q - 65*q + 2 = 0, 0 = d - q - 1419. Is 13 a factor of d? True Suppose 3*g - 5*x - 25101 = 0, 39*g + 6*x - 25134 = 36*g. Is 13 a factor of g? True Let v = 816 - 545. Suppose -3*y + 719 = -v. Suppose y = r + r. Is 55 a factor of r? True Does 35 divide 19 - (-12 - -27) - (-6012)/2? True Let t(b) = -b**3 + 12*b**2 - 7*b - 64. Does 4 divide t(8)? True Let l(b) = b**2 - 9*b + 20. Let y be l(6). Suppose t + 0*t - 62 = -y*c, 0 = 3*c + t - 91. Is c a multiple of 5? False Let f(l) = 27*l**3 - 3*l**2 - 6*l + 13. Let u be f(2). Let s = 261 - u. Is s a multiple of 4? True Let h = -3059 - -3147. Is h a multiple of 11? True Let b = 272 + -274. Let c(g) = -25*g - 7. Let v(y) = -y + 1. Let x(m) = c(m) + 2*v(m). Is x(b) a multiple of 35? False Suppose 0 = -484*y + 488*y + 88. Let u = 148 - y. Does 5 divide u? True Let u(r) = -r**3 - 17*r**2 + 6*r + 60. Let c be (130/(-25) + 4)*(16 - 1). Is 47 a factor of u(c)? False Suppose -2*k + 6*a - 2*a = -16, -2*k - 2*a + 10 = 0. Suppose 3 = -r, 4*y + 813 = k*y + 3*r. Does 20 divide y? False Let x(i) = 222*i**2 + 485*i - 2862. Does 201 divide x(6)? True Suppose 4*g + 7008 = -4*w, 2*w = -3 - 3. Let f be (g/22)/(3/(-4)). Let k = f + -58. Does 12 divide k? True Suppose -5*b + 9030 = 5*m - 5420, 0 = -5*m - 3*b + 14462. Is 8 a factor of m? True Suppose -55*k - 85241 + 222546 = -518900. Is k a multiple of 41? True Suppose 4*r - 5*w - 44955 = 0, 48*r - 49*r + 11238 = -2*w. Is r a multiple of 10? True Let j(d) = d**2 + 8*d - 1. Let a be j(-9). Suppose 2*x + 3*l + a = -3, x - 4*l = 22. Suppose -x*k + 55 = h, -k + 2*k - 23 = 4*h. Is 20 a factor of k? False Let i be 3/(1/(-2) - -2). Suppose -5*w - i*r + 0*r + 6 = 0, 3*r = 9. Does 5 divide 7 + (-1 - (w - 3))? False Suppose -2*l - 10 = -2*a, 22*l = 24*l + 5*a + 17. Is l/(1 + 1) + 5 + 85 a multiple of 5? False Let h = 476 - 836. Let l = -98 - h. Suppose 0 = -2*v + l + 292. Does 23 divide v? False Let t be (4/(-3))/(2/(-3)) - -6. Suppose 3*o - t = p, 3*p + 2 = -4*o +
{ "pile_set_name": "DM Mathematics" }
est to -32651 in -1, -0.1, 0.5, -2/5? -1 What is the closest to -3 in 0.2, 1.26, -1, 3/7, -3/5? -1 What is the closest to 2 in 0.0512, -3/4, 3/7, 1/5, 20? 3/7 What is the closest to -203 in 16/5, -5, -843/2, -2? -5 Which is the closest to 134? (a) 241 (b) -6 (c) -3/7 (d) 0 a Which is the closest to 2/7? (a) -6 (b) -55/3 (c) -9/109 c What is the closest to 1/3 in -1/4, -194/29, -644? -1/4 Which is the nearest to 4/5? (a) 4 (b) -35/2 (c) 1/5 (d) 3744 c What is the closest to -2.4 in -3/10, 2/11, -0.17, 2? -3/10 What is the closest to 2.29 in -0.1, 3, -4/3, 122/3, -3? 3 Which is the closest to -2/7? (a) 29.3 (b) 0.5 (c) 0.1 (d) 9 (e) 0.386 c Which is the closest to 12868825? (a) -0.5 (b) -2 (c) 2/5 c What is the closest to -1 in -0.1, 14.14, 1461, 2/5, -0.02, -5? -0.1 Which is the closest to 158? (a) -5/4 (b) 45 (c) -327/2 (d) -0.1 b What is the nearest to 2 in -5, -44, 9/118, 0.2? 0.2 Which is the closest to -10? (a) 0 (b) 2/25 (c) -1/290 c Which is the nearest to -20? (a) -0.3 (b) 37 (c) -2/17 (d) -2/7 (e) -242 (f) 0 a What is the closest to 1 in 0.37, 4, -38, 0.026? 0.37 What is the closest to -1/2 in -0.6, -1/87, -0.5, 63, -2, -1? -0.5 What is the nearest to -6 in 1, -246, -1.7, -1/370? -1.7 Which is the closest to -0.07? (a) -0.03 (b) 1/297 (c) 0.1 (d) 4.6 a Which is the closest to 0.21? (a) 0.4 (b) 30 (c) -19 (d) -1 (e) 3 a Which is the nearest to -3? (a) -0.28292 (b) 2/459 (c) 1 a What is the nearest to 6.6 in 1/732, 5, 1/4, 0.35? 5 What is the closest to 3 in 55, 8, 19, -1/8, 0.03? 0.03 What is the closest to 1219.2 in 0.11, -1/5, -0.4, 4/3? 4/3 What is the nearest to -220 in -1, -5198, -1/4? -1 Which is the closest to 7? (a) 0.1 (b) 6 (c) 4 (d) 2130 b What is the closest to -2/3 in 1212/7, -4, 0, -24.5, -1/11, 2/17? -1/11 What is the closest to -0.1 in 1, -789199, 2/5, 2/7, -3/7? -3/7 What is the nearest to -1/3 in -1/7, 0.3, -14261/82? -1/7 Which is the nearest to 1? (a) -1230/13 (b) -1 (c) -118 b Which is the closest to 0.1? (a) -154 (b) -1/3 (c) 2/5 (d) -2/29 (e) -4/5 d Which is the closest to -0.1? (a) 28 (b) -503 (c) -13 (d) 1/162 d Which is the closest to 1/5628? (a) 0.2 (b) 1.5 (c) 3 a Which is the closest to 4? (a) -12157/4 (b) -4/7 (c) -4 (d) 1 d What is the nearest to 5975 in -0.02, -2/9, 4/7, 0.3? 4/7 Which is the closest to -1? (a) -3877 (b) -2 (c) -0.165 (d) 5/4 (e) -0.4 (f) 5 e What is the closest to 0.05 in -1, -110, 0, 38, -0.24, -0.5? 0 What is the closest to 29296 in -1/11, -4, -3, 2/7, -5? 2/7 What is the closest to 0.6 in -218/5, -9, 0.1, 1, -4? 1 Which is the nearest to -0.037? (a) 6.0301 (b) -1 (c) 2/7 (d) 3 (e) -2 c What is the nearest to -0.3 in -1771/2, -2/295, -0.1? -0.1 What is the closest to -1/4 in -0.3, -1577, -5, -0.021, 1? -0.3 What is the nearest to -2 in -15/2, -1/4, -4, 0.11, -87/4? -1/4 Which is the closest to 237? (a) -120 (b) -3/4 (c) 0.3 (d) -5 c What is the nearest to -0.3 in 0.1, 4, 3/4, -4/19891, 3? -4/19891 What is the nearest to -2352 in -2/3, 0, 1/14, 2? -2/3 Which is the nearest to -0.1? (a) -2/15 (b) 0.4 (c) 9 (d) -64 a Which is the nearest to 58? (a) -12 (b) 0 (c) -3/7 (d) 2/11 (e) 10/11 (f) -0.05 e What is the nearest to -462590 in -0.2, -3/4, 0.2, 0.5? -3/4 Which is the closest to 294? (a) -0.2 (b) 259/9 (c) 0 (d) 2/3 (e) 1 b Which is the closest to -1/5? (a) -0.2 (b) 3 (c) 5 (d) -335.98 (e) 1/9 a Which is the closest to 2.3? (a) -4/9 (b) -1/4 (c) -339 (d) -2/5 (e) -1/2 b What is the nearest to 7 in -5, 68808, 0.43? 0.43 Which is the closest to 0? (a) -4333 (b) -1762/3 (c) -0.4 (d) -1/2 (e) -1 c What is the nearest to 7 in -1/53, -28, -4/7, -3.1? -1/53 Which is the nearest to -11.69? (a) -7/5 (b) 1/2 (c) -4 (d) 2/3 (e) 3/7 (f) -10 f Which is the closest to 45? (a) -1/13 (b) 0 (c) 3/8 (d) -0.5 (e) 22 (f) 1/3 e What is the nearest to -0.1 in -0.4, -2/17, 3, -3482775, -1? -2/17 Which is the closest to 1/3? (a) -3 (b) 0.4 (c) 0.12 (d) -65226 (e) -0.1 b What is the nearest to 61345.5 in -0.01, 0.3, 0, 4? 4 What is the nearest to 29 in 30/29, -3, -2/5, 1/6, 0.001? 30/29 What is the closest to 3 in 1, 8/5, -10, -1/6, -447? 8/5 Which is the closest to 7? (a) -1 (b) -5/6 (c) -3/44717 (d) 0.105 d What is the closest to -18 in -34926, -1, -4/7, -0.1? -1 What is the nearest to 1/3 in 1, -0.056, 12685/3? -0.056 What is the closest to -2/7 in -22, -4350, 0.5, -6? 0.5 Which is the nearest to 0.1? (a) -81 (b) -0.25962 (c) 1/2 (d) 2 b What is the closest to 106507 in 16, 0, 3, 2/3, 2/9, 1/5? 16 What is the closest to 2/11 in 5, 2257, -1/784, 0.2? 0.2 Which is the nearest to 3? (a) -1/2 (b) 0 (c) -3/8 (d) -11 (e) -3/7 b What is the nearest to -22/7 in -2216, 0.4, -4/245? -4/245 Which is the closest to -108? (a) 5 (b) 1323 (c) -2/23 (d) 0.3 (e) -4/3 e What is the closest to -6 in -0.06, -0.1, -0.5, 15345? -0.5 Which is the nearest to -2308? (a) -3 (b) 0.5 (c) 25 (d) -11/3 d Which is the nearest to 8? (a) -9/2 (b) -3 (c) -29 (d) -441 b What is the closest to 4/87 in 5, 2/3, 11, -9/11? 2/3 Which is the nearest to -46605? (a) 18/5 (b) 1/2 (c) 8 b What is the closest to 0.1 in 0, -2.485, -117, -0.4, 1? 0 What is the closest to -319/4 in 5, 2, 4/3, -4? -4 What is the closest to 59 in -0.6, 34/59, -3/2? 34/59 Which is the nearest to 3.4? (a) 2 (b) 2/329 (c) 15 (d) 1 (e) -2/75 (f) -1 a Which is the nearest to -0.2? (a) -2/81 (b) -4/9 (c) 8 (d) -0.5 (e) 30/43 a What is the nearest to 0.4 in -1, 14, -0.08, -2/3, -2.9, 91? -0.08 Which is the nearest to -138/31? (a) -4 (b) 2/11 (c) -0.4 (d) -27.25 a What is the nearest to 8/9 in -7207, -3/4, -4? -3/4 Which is the closest to -1/6? (a) 306 (b) -3/4 (c) 3 (d) -2/641 (e) 0.3 d Which is the closest to 2/3? (a) 166.6 (b) 279 (c) -0.1 c Which is the nearest to 7? (a) -27961 (b) -6/7 (c) 1 (d) -0.2 (e) -7 (f) -1 c Which is the nearest to -0.0139? (a) -1/4 (b) 5 (c) 4 (d) -0.5 (e) 1/15 (f) -34 e Which is the nearest to -1? (a) -5.26 (b) -0.009 (c) -63 b Which is the closest to -0.1? (a) 590 (b) -3 (c) 3 (d) 5.1 (e) 0.4 e Which is the closest to -1? (a) -0.4 (b) -172/183 (c) 803 b What is the closest to 1 in 2/7, -4, -8/3, 19/22, -4/7? 19/22 Which is the nearest to 2? (a) 1.1 (b) -29091 (c) -2 (d) 3 a What is the closest to -3/241 in 0.01, 0.6, -2/5, 5/159, 0.1? 0.01 Which is the nearest to -3/4? (a) -2/65 (b) 103 (c) -0.2 c What is the closest to -15 in -0.16, 47, -1/3, -6/29? -1/3 What is the closest to -9 in -2/3, 8, 11, 0.3, -13? -13 Which is the closest to 0.03? (a) 0 (b) 5 (c) -0.05 (d) 2.157 a Which is the nearest to -0.02? (a) 72/17 (b) 2/687 (c) 1 (d) 1/6 b What is the nearest to -1/6 in 33, -2, 2, -9214? -2 Which is the closest to 118? (a) 0.5 (b) -0.287 (c) 1.9 (d) -1/3 c Which is the nearest to 0? (a) 18 (b) -0.5 (c) -8.1 (d) 3/4 (e) -2/9 e Which is the nearest to 26? (a) -255.69 (b) -0.5 (c) 1 c Which is the nearest to -0.1? (a) -0.13 (b) -4 (c) -1/5 (d) -462 (e) -9 a Which is the closest to 2/5? (a) -4 (b) 0.13 (c) 36 (d) -759 b What is the nearest to 168/23 in -5/4, -159, 1/6? 1/6 Which is the closest to 10/3? (a) 54 (b) 3/2 (c) -36 (d) -7/3 (e) 2/9 b What is the closest to -0.1 in -5, 5, -2/73, 31/3, -158? -2/73 What is the nearest to 0 in -129288, -3, -0.123? -0.123 What is the nearest to 40 in -1/17, 0, 2/9, -0.2, 4/7? 4/7 Which is the nearest to 192? (a) 6/11 (b) 3 (c) 47 (d) -1 c Which is the nearest to -4403? (a) 622 (b) -18/5 (c) 4 b What is the nearest to -2 in 1/3, -7, 123.7, -0.7? -0.7 Which is the closest to -1/36? (a) 1 (b) 21 (c) 100 a Which is the closest to 2? (a) -904 (b) 241 (c) 0 (d) -1/9 (e) -0.2 c Which is the nearest to -2/3? (a) -2 (b) -4 (c) 2 (d) -7 (e) -20272.3 (f) 1/11 f Which is the nearest to 156? (a) 4/3 (b) 748 (c) 5/73 a What is the closest to -4 in -7, 6, 11, -0.1, -2137? -7 What is the closest to 14 in 38/1157, 1, 2/3, -2/5? 1 What is the nearest to 1 in 0.07, -2, 2.58, -8/23? 0.07 What is the nearest to 2/7 in -2/13, 1, 2/113, 5, -17/5? 2/113 What is the nearest to -1 in -2, 52, 15, 3/2, 5, 42? -2 Which is the closest to -1/220? (a) 0.2 (b) 0.72 (c) -10.1 (
{ "pile_set_name": "DM Mathematics" }
27401 (c) -1 (d) 3 c What is the closest to -0.39 in 657, -4, 1? 1 Which is the closest to -8? (a) -1265 (b) 0 (c) -28 (d) 0.5 b Which is the closest to -2/3? (a) -1/4 (b) 5 (c) -1.7114 (d) -0.5 (e) -4/5 (f) -3/7 e What is the nearest to 2 in 0.4, -1/4, 57, 3/4, -0.1312, 1/3? 3/4 Which is the nearest to -1? (a) -2/21 (b) 3 (c) 6065 (d) 2 (e) -9 (f) 198 a Which is the closest to 1/3? (a) 2/109 (b) 37 (c) 63 (d) -1 a What is the nearest to 1/3 in -2.594, 0, 2/11, -66.7? 2/11 Which is the nearest to -90748? (a) 3 (b) -15 (c) -0.9 b What is the closest to 1477 in -0.3, 4, 5, -3, 0.5, -9/4? 5 What is the nearest to -0.1 in -6429, -1/6, 2, -592? -1/6 Which is the closest to -0.1? (a) 0 (b) -0.1 (c) 5/14 (d) 160 (e) -16/7 b What is the closest to -0.7 in -3, -2, -96/7, -5/2? -2 Which is the closest to 0.2? (a) 95591 (b) 2 (c) 0.4 c Which is the nearest to 13? (a) 3 (b) -52.2 (c) -2 (d) 1/2 a What is the closest to -0.2 in 6, 2/5, -2/37, -2362? -2/37 What is the closest to 5 in 4, 24/47, 3/2? 4 Which is the closest to 1? (a) -1105859 (b) -9 (c) 1/3 c What is the nearest to 0.2 in 0, 0.5, -9/2, -0.06788? 0 What is the closest to 2 in -3/5, -570.2, 2/5, 0, 16.7, -2/11? 2/5 What is the nearest to 66/13 in -15883/2, -0.15, -0.1, -1/5? -0.1 Which is the closest to -0.05? (a) -2 (b) -4 (c) 0.3 (d) 6/779 (e) -1 d What is the closest to -1 in -380, 1, 448, -2/3, 2? -2/3 Which is the nearest to -1/3? (a) 0.3 (b) -0.1522 (c) 0.15 (d) -5 (e) -3 (f) -2 b What is the nearest to 0.1 in -4, 5, 2/9, -1, 692, -641? 2/9 Which is the closest to 16? (a) 1 (b) 61 (c) 2/5 (d) -3 (e) -1195 a Which is the nearest to -0.1? (a) -8662/5 (b) -8/7 (c) 11 b Which is the closest to 1/4? (a) 1/45 (b) -4 (c) 0.93 (d) 9 a Which is the nearest to 10/9? (a) -0.5 (b) 2.8 (c) 32084 a What is the nearest to 2/169 in 0.09, 2, 118? 0.09 Which is the nearest to -0.0283? (a) 4 (b) -3/20 (c) 17 (d) 0 (e) -3 d Which is the closest to -124? (a) -11/3 (b) 5 (c) -4 (d) 293 c Which is the nearest to 0.1? (a) 214406 (b) 4/5 (c) 0.02 c What is the closest to 1 in 1, 262, 3/4, -5/3, -5? 1 Which is the nearest to -0.03? (a) 0.3 (b) -160/9 (c) 1.1606 (d) -3 a What is the nearest to -1/2 in 3, -24/25, -36, -49, -1, 0.3? -24/25 Which is the closest to -2/5? (a) -42 (b) 3 (c) -5 (d) -10/13 (e) -2/31 e Which is the nearest to -0.00371? (a) -0.4 (b) 0.1 (c) 0.7 (d) -2 (e) 0 e What is the closest to -4 in -1715, -1/2, -348, 0.3, 2/11? -1/2 What is the closest to 0.6 in 10, -0.4, 1015, 21? -0.4 What is the closest to -1.4 in -5, 2.1, -2/75, -0.01, 2, -5/4? -5/4 Which is the closest to 175? (a) -9 (b) -1/10 (c) 4 (d) 5/4 (e) 3/5 c Which is the nearest to -2873? (a) 8.5 (b) 1/4 (c) 0.5 (d) -2 (e) 2/9 d What is the nearest to -68987/2 in 3, -2/5, -4/3? -4/3 Which is the nearest to 0.6? (a) -6 (b) -11 (c) 0 (d) -21.44 c Which is the nearest to -0.2? (a) 140 (b) 2 (c) 21 (d) 0.009 d Which is the nearest to -2? (a) -5 (b) 1/32 (c) -725.66 b What is the nearest to -3 in 1, 0, -9, 2/3, 0.1405, -5? -5 Which is the closest to 786? (a) 0.65 (b) 4 (c) 3 (d) 1 b Which is the nearest to -2/3? (a) 0 (b) -11 (c) -1/419 (d) 4.62 (e) -3 c Which is the nearest to -26? (a) -0.1 (b) -1/5 (c) -1743 (d) -25 d What is the nearest to -22315/6 in -2, -276, 4? -276 Which is the nearest to 4/5? (a) 0 (b) 47 (c) -172/67 a What is the nearest to -96 in 20, 6, 33.6, 4, -4/5? -4/5 What is the nearest to -1/4 in 0.01, 0, 148.4034? 0 What is the nearest to -22886 in 2/13, 12, 4/9? 2/13 What is the nearest to 526362 in 3/5, 3, -0.7, -0.5? 3 What is the closest to 3/2 in 2/7, -7, 67191, -1? 2/7 What is the closest to -1 in 0.2, -33, -0.143, 0, -3/2, 5? -3/2 Which is the closest to -0.1? (a) -12 (b) 477 (c) 44 (d) -1 d What is the nearest to -12.5 in 7/6, 3/7, 0.0127? 0.0127 What is the nearest to 616 in 0.3, -32/3, -169, -0.1? 0.3 What is the nearest to -0.1 in 26/1215, -2, 3, 4, 0.3, 0.2? 26/1215 Which is the nearest to -6? (a) 2013 (b) 689 (c) 2/9 (d) 0 d What is the nearest to 0.2 in -12.79, 0.3, 1.3, -11, -0.2? 0.3 Which is the closest to -25? (a) -6 (b) 66 (c) 0 (d) -2 (e) 5 a Which is the nearest to -0.021? (a) -0.07 (b) -0.4 (c) 3 (d) -2/21 (e) -3987 a Which is the nearest to 1? (a) -530 (b) 2 (c) 3/34 (d) -0.08 (e) -2 c Which is the nearest to 1? (a) -0.3 (b) 0.5 (c) 0.205 (d) 9.1 b What is the nearest to -1.1 in -24.7, -1477, -1/2, 1/4, -3/7? -1/2 Which is the nearest to 6/5? (a) 2/123433 (b) 57/7 (c) 1/7 c What is the closest to -5/6 in 26883, -0.2, -4, 0.3? -0.2 What is the closest to -0.053 in 5, 2/3, 0.4, -5, 55? 0.4 Which is the nearest to -1.77? (a) -25 (b) -7/4 (c) -2 (d) 0.099 (e) -0.3 b Which is the closest to -1? (a) 0 (b) 3740772 (c) -0.2 c What is the nearest to 0.215 in 64, 0.3, 3, -1, -329? 0.3 What is the closest to -362 in -8/271, 4, 5/2? -8/271 Which is the nearest to 1/4? (a) 0.4 (b) -0.3 (c) 2/23 (d) 6 (e) -76688 a Which is the closest to -1? (a) -0.265837 (b) -13 (c) 1/7 a What is the nearest to -1/2 in -0.1, 16, 7698? -0.1 What is the closest to 2/7 in -168, 62, -1/4, 8? -1/4 Which is the closest to -2? (a) 0.4 (b) -2 (c) -0.8 (d) 1/3 (e) -5 (f) -137.22 b Which is the nearest to -1/4? (a) -7934 (b) 1 (c) 2 (d) 1/16 d Which is the closest to 10? (a) 17 (b) 2/9 (c) 0.038 (d) -0.4 (e) 1/10 a Which is the closest to -1? (a) -17/25 (b) 2/5 (c) 5/7 (d) -7/5 a Which is the closest to 7/24? (a) 4 (b) -6 (c) 243 (d) 3 (e) 5 d What is the closest to -2/11 in -29, 0.14, -4, 675, 0, 1? 0 What is the nearest to -3 in -6023, -3/19, -0.4, 0.8? -0.4 What is the closest to -1/7 in 8/9, 0.219164, -5/2? 0.219164 Which is the closest to 7.5? (a) 9 (b) 4 (c) 1/887 a Which is the nearest to 0.4? (a) -3 (b) -77.08 (c) -120 (d) 2 (e) -1 (f) 0 f Which is the closest to -0.2? (a) -0.9 (b) 14/33 (c) 5/6 (d) 0.4 (e) 5 (f) -14/5 d What is the nearest to 0.06 in 5/3, -263, 79, -5, 2, -2/7? -2/7 Which is the closest to 2? (a) -0.2 (b) 0.1 (c) -3 (d) 37526 b Which is the closest to 58? (a) -18 (b) 0 (c) 3 (d) 5 (e) -3/992 d Which is the nearest to -2/5? (a) -0.26 (b) -3/5 (c) -1/7 (d) 122 (e) -4 a What is the closest to 9 in 1/31, -0.12, 5, 81? 5 What is the closest to -19 in 0.582, 2, -2/15, -3, 87? -3 Which is the nearest to -1207/4? (a) 5 (b) -15/14 (c) 0 (d) -0.3 (e) -3/4 (f) -1 b What is the nearest to -153 in -506, -4/3, 0.01? -4/3 Which is the closest to 86? (a) 0.2 (b) -52/973 (c) 0.4 c Which is the nearest to 2/21? (a) 11 (b) -1 (c) 1/5 (d) -4 (e) 3/17 e What is the closest to -0.2 in -2.6, 0, 7419? 0 Which is the nearest to -39.6? (a) 2 (b) -208 (c) -1 c Which is the nearest to 0.1? (a) -665 (b) 58 (c) -1 c What is the closest to -54 in -2, 4213/5, -8? -8 What is the nearest to -7 in 0.2, -1267, -4, 1, 11, 2? -4 What is the nearest to 1 in 0.1, 1012, -397? 0.1 What is the closest to -9.7 in -11669, -1/4, 26? -1/4 What is the closest to -0.1 in 19, 2/7, -1778.1? 2/7 Which is the nearest to -1? (a) 2 (b) -463/5271 (c) 4 (d) 0.5 (e) -4/5 e Which is the nearest to 2/11? (a) -0.4 (b) -17/105 (c) 4 b Which is the closest to 7? (a) -0.41 (b) 3713 (c) -1 a Which is the closest to -1/3? (a) 11 (b) -5 (c) 2/17 (d) 1.04 (e) -3 c What is the closest to 2/201 in 5, 8.2, 0.5, 0.2, 2/19, -11? 2/19 What is the nearest to -0.3 in -6, -81550, 5, 2/13? 2/13 What is the nearest to -2/25 in 4095, 8, 30? 8 What is the nearest to 0.1 in -0.2, -8/53, 136.5, 2/7, -1? 2/7 Which is the closest to 6/349? (a) -596 (b) 3 (c) 2/9 c Which is the nearest to 1670/9? (a) -1/4 (b) 3 (c) 24 (d) -0.3 (e) -5 (f) 1.6 c What is the closest to 1 in 47, -2, -2/13, -17/5? -2/13 Which is the nearest to -2/7? (a) -9/5 (b) 1/13 (c) -0.3 (d) -0.0951 (e) -2/11 c Which is the nearest to -32/3? (a) 1/58 (b) 2 (c) -75 (d) -0.2 (e) -1 e What is the closest to -2065 in 5, 2/133, 2, 1/3, -1, -3? -3 What is the closest to -25 in -2/19, 1/6, -3/4, 5/3, 51? -3/4 Which is the nearest to 0.1? (a) -343/20 (b) -8 (c) -2/9 (d) -0.4 (e) -0.1 e What is the closest to 8/11 in 1, -53/14, -1/14, 4, -1/6, -0.3? 1 Which
{ "pile_set_name": "DM Mathematics" }
ssuming t is positive. t**(683/210) Simplify ((g**(-10/9)/g)/g**(-3/7)*((g/g**9)/g)/g*(g/(((g*g**12)/g)/g*g))/g)**(-49) assuming g is positive. g**(10444/9) Simplify ((x**5/(x**(-1/30)*x))/(x**(2/19)*x)**(-6/11))**(-47) assuming x is positive. x**(-1366243/6270) Simplify ((n**19/(n/((n*n/(n/n**(-4)))/n)))/(n**(-28))**(-41/3))**41 assuming n is positive. n**(-45346/3) Simplify (((i*i**3)/i)/i**(2/9))**(-2/41)/(i**(9/4)/i**(-8))**29 assuming i is positive. i**(-438941/1476) Simplify (((v**(-1/5)*v*v**(-1/7))**(2/43))**4)**(-21) assuming v is positive. v**(-552/215) Simplify (h/(h/h**(3/5)*h))/(h/h**(-3/7))*h**5/((h/h**(-4))/h)*(h/(h**(2/7)/h)*h)**21/(h**(-2/7)*h/h**(-3)) assuming h is positive. h**(1836/35) Simplify ((z*z*(z**(11/3)/z)/z*z)/z**(-7))**(-31)/((z**0)**(-1/38)/(z**5*z*z**(-5)*z)) assuming z is positive. z**(-1079/3) Simplify ((z**1*z)/(z**5*z*z))**(-20)*(((z/(z*z*(z/z**7)/z*z))/z)/z**(2/9))**(-32) assuming z is positive. z**(-188/9) Simplify (z**(-4)*z**(-2/5))/(z*z**(-1)*z)**(-18)*((((z/(z/z**(-2/3)))/z)/z)/z**(-2/3))**40 assuming z is positive. z**(-332/5) Simplify ((x**(-2/13)*x*x)/x*x*(x**(-1/3)/x*x*x)/x*x*(x/x**(-5))/x**2)/(x*x*x*x**(-1/7)*x/(x*x**(-4/7)*x*x*x*x))**(27/2) assuming x is positive. x**(3884/273) Simplify (((z**(-2/5))**4*z/(z/((z**5/z)/z))*z*z**(-5)*z)**(-41))**(-1/43) assuming z is positive. z**(-328/215) Simplify (o*(o**7/o)/o*o*o*o*(o/(o/(o*o/o**(-3))))/o)**(-29/4)*(o*o**(-1/4)*o)**(-4/23)*o**4*o**(-1/11) assuming o is positive. o**(-91733/1012) Simplify (g**(1/4)/g**(-2/3))**(-4/5)/((g*g**(2/7))**(12/7)/(g**(-2/3)/g*g*g*g**(-1/6))) assuming g is positive. g**(-4073/1470) Simplify (((f**(2/15)/(f**(-6)/f))/((f**(1/5)*f)/(f/(f**(-5)*f*f))))**(7/4))**(-24/13) assuming f is positive. f**(-2086/65) Simplify (((t**(-1))**20/((t/((t**7*t)/t)*t)/t**(1/5)))**(-33))**37 assuming t is positive. t**(90354/5) Simplify (((l/l**(-2/7)*l)/l*l**(-25)*l*l*l)/(l/((l/(l*l*l/(l**14*l)))/l)*(l*l*l**(-24))/l))**(-34) assuming l is positive. l**(-3162/7) Simplify ((p**(5/3)/p*p*p**(1/3))/(p/(p*p**(-2)*p)*p)**(-2/39))**(-38) assuming p is positive. p**(-3116/39) Simplify ((u**(-2))**(1/3))**(-4/3)*(u**(1/2))**(-4/9)*u**(-3/2)/u*u*u*u**(-2/3) assuming u is positive. 1/sqrt(u) Simplify (z*z*z**2*z**(-5)*z**(1/7)*z/z**(-3))/(((z/z**6)/z*z)/z**(-5)*(z**(1/3))**(-23/3)) assuming z is positive. z**(359/63) Simplify ((((g/(g*g*(g*(g/(g**6/g*g*g))/g)/g))**(-36))**21)**(-37))**(2/105) assuming g is positive. g**(15984/5) Simplify (r**(-3))**(-16)/((r**(-13)*r)/r)**(-1/33) assuming r is positive. r**(1571/33) Simplify (r**(1/9)*r**(-3/7))**17*((r/(r*(r/(r**(1/3)/r))/r))/r)**(-41)/(r**(-5)/(r*r**(-3/2))) assuming r is positive. r**(8497/126) Simplify ((d**7)**(2/49)*(d*d**6)/d*d*d*d**(11/2)/d)**(-6) assuming d is positive. d**(-537/7) Simplify (u**(-1/2)*u)**28/(u/u**4*u*u**(-7))*(u/u**(-2))**21/(((u*u/(u/(u**(2/13)/u)))/u)/(u/(u*u**(-8))*u*u)) assuming u is positive. u**(1259/13) Simplify (p**(2/13)/(p*p**(1/3)*p))**(-9)*(p**(2/3))**0/(p**1)**(2/61) assuming p is positive. p**(15529/793) Simplify ((g/(g/(g*g*g/g**(3/5))))/g**(3/4))**44*((g**2*g)**(-1/6))**7 assuming g is positive. g**(691/10) Simplify ((b/(b*b**(-2/7)/b)*b*b*b*b**(-4/7)/b)/((b/b**(2/3))/b)**39)/((b**(2/5))**(-12)/(b**(2/7)/b)**26) assuming b is positive. b**(523/35) Simplify (((((h**(2/3)/h)/h)/h*h**4*h)**(-26))**(-49))**(-10/9) assuming h is positive. h**(-101920/27) Simplify ((w**0*w)**(2/71)*(w/(w*(w**(-6)*w*w)/w*w))/w**(2/3))/(w**(-3)*w/w**(-4))**28 assuming w is positive. w**(-11212/213) Simplify (c*((c/c**(-3))/c)/c*c)/c**14*((c/(c*c*c**(-23)*c))/c*c)/c*c*c**10 assuming c is positive. c**21 Simplify (((g*g**(-8)*g*g)/(g*g**(-7)/g*g*g))/((g*g**(-8/3))/(g*g*g*g*g/g**(-3/2))))/((g/((g/(g/(g**4*g)))/g)*g)/g*g/g**1)**(-1/8) assuming g is positive. g**(187/24) Simplify ((f/f**(1/4))**(-2/33))**(-20/3)*(f/(f**5/f)*f**1)/(f**(1/2)/f**(-1/6)) assuming f is positive. f**(-26/11) Simplify ((l**(-6)/l*l*l/(l**(6/7)/l)*(l/l**(-7))/l**9)**(2/27))**(-23) assuming l is positive. l**(1886/189) Simplify (((u/(u*u**(-5/2)))/u)**(4/13))**31/(u**(1/5)*u*u/u**(1/3)*u*u**(-8)*u/u**(-2/5)) assuming u is positive. u**(3518/195) Simplify (q**(-2))**(9/5)*(q/q**(-27))**7 assuming q is positive. q**(962/5) Simplify s/((s*s**(-3))/s)*s*s*s*s**(3/7)*s**(-6)/(s*s/s**1)*((s*s**(-2/3))**(9/10))**(-12) assuming s is positive. s**(-111/35) Simplify (y**(6/11))**(-37)/(y**(-1/8)*y*y/y**(-4/27)) assuming y is positive. y**(-52759/2376) Simplify ((d**22*d**(1/14))/(((d/(d*d**(-1/55)/d*d))/d)/(d*d**(1/11))))**(-40) assuming d is positive. d**(-74364/77) Simplify ((m*m/m**(-2/49)*m)/m*m/(m/(m**38/m))*(m**33)**(-47))**7 assuming m is positive. m**(-74086/7) Simplify ((h*h**(2/5))**(-14))**31*(h*h*h**(1/2)*h*h*h*h*h**1/h)/(h*h**(1/4))**(-1/39) assuming h is positive. h**(-468833/780) Simplify (((p**(1/3))**(-10)/(p*p/(((p**(2/3)*p)/p)/p))**(-48))**(-1/82))**(2/9) assuming p is positive. p**(-326/1107) Simplify (g**1*g**(5/4))/((g*g**9/g*g)/(g/g**(6/19))) assuming g is positive. g**(-537/76) Simplify (t*t**(-3)*t*t**6)**(-33)*(t/(t**0/t))**42*(t/(((t**(-7)*t)/t)/t))/(t/((t/(t*t**(-1/2)))/t)) assuming t is positive. t**(-147/2) Simplify ((c**1)**(-33))**(-38)*(c**0*c*c)**(19/3)*c*c**6*c*c**(2/13) assuming c is positive. c**(49718/39) Simplify s/(s*s/(s**7/s))*s/s**(3/4)*(s**(-1/4)/s)**(-10/17)*((s/s**(-1)*s)/s)**(-1/4)/((s**(-1)/s*s)/s**(3/4)) assuming s is positive. s**(123/17) Simplify ((v**(-1/2))**(-6/11)*(v**10*v)**38)**(-39) assuming v is positive. v**(-179439/11) Simplify ((h**(-9)/h)**33/(h**(-16/5)/h**14))**(-28) assuming h is positive. h**(43792/5) Simplify (((h**(6/5)*h**(-1))/(h**(-4))**26)**(-2/43))**(-6/13) assuming h is positive. h**(6252/2795) Simplify (z/((z*z**(-38))/z))**(-39)/((z*(z*z**(-8/7)/z)/z)/z)**(-20) assuming z is positive. z**(-10947/7) Simplify ((i*(i**(2/3)/i)/i)/i)**(-18)*((i/i**(1/7))/i)/i*i**(-7)*(i**(2/3))**33*(i**(-1/3))**(-2/27) assuming i is positive. i**(21479/567) Simplify ((q**2)**(3/4)*((((q**0*q)/q)/q)/q*q)/(q**(-5)/q))**(-15) assuming q is positive. q**(-195/2) Simplify (g/g**(-4/7)*g**(-2/11))/(g**(2/5)*g**(-1)*g)*(((g**(-2/5)/g)/g*g)**(-29))**38 assuming g is positive. g**(594359/385) Simplify (m**(1/3)/m**(1/9)*(m**(1/4)/m)**(1/79))/(m**(-6)/m*m*m/((m/(m/((m**(2/5)*m)/m))*m)/m)*(m**(2/3)/m)**0) assuming m is positive. m**(79813/14220) Simplify ((u**0)**(-8))**(-20/9)*u*u/(u/(u/(u/(u*u*u**0))))*u/(u**(-3/2)*u)*(u/(u/(u*u/(u*u**(2/9)*u)*u)))/u**(-1) assuming u is positive. u**(113/18) Simplify (j**(-5)*j/j**7*(j*j*((j*j/(j/j**7))/j*j*j)/j)/(j*j**(-2/11)*j*j))/((j**(-1))**16)**(-6/17) assuming j is positive. j**(-1770/187) Simplify ((y**(1/4)/y)**(-2/101))**(-12/7)/((y**(-1))**38)**(-2/15) assuming y is positive. y**(-54002/10605) Simplify (y**22*y**(-37)/y*(((y/((y/y**30)/y))/y)/y)/(y*y**2))**25 assuming y is positive. y**250 Simplify ((y*y/y**2)**(-1/3))**(-6/13)/((y/(y*y**(-1/3)))**(-1/21))**(4/17) assuming y is positive. y**(4/1071) Simplify ((((p*(p/p**(-2/3))/p)/p*p)**21/(p*p**(-1/8)*p*p**(-6)))**(-30/7))**(1/35) assuming p is positive. p**(-939/196) Simplify (((y*y**6/y)/y)/y**(-1/2)*(y/y**0)/y*y**(2/15))/(y/(y*y**(-2))*y*y**(-6))**(1/10) assuming y is positive. y**(89/15) Simplify ((t*t*t/(t**0*t))/t)**(-17)*t**(-4/5)/(((t/t**(2/3))/t)/t)*(t*t/(t*t**(-1/3)*t*t))**(-44)*(t**(-1))**(-31) assuming t is positive. t**(221/5) Simplify ((u**5/u*u**(-4))/(u**2*u**(-2)*u))/((u**0*u)**(39/4)/((u**7/u*u)/((u/(u/(u*u**(-2)/u)*u))/u*u))) assuming u is positive. u**(-3/4) Simplify (((p/p**(-26))/p**(-1/23))**16)**(-5/7) assuming p is positive. p**(-49760/161) Simplify k/(k/((k*k**7*k*k)/k))*k**(2/9)*k*k*k**(2/7)/k*k/((k/k**1)/k)*(k**(-1))**(-49)*((k*k*k**(-4))/k)/k*k*k**3*k*k assuming k is positive. k**(4001/63) Simplify (s**(-4)/(s**(-1/40)/s))/(s**(2/31)*s/(s*s*s**(-2/71))) assuming s is positive. s**(-182039/88040) Simplify (o**7/(o*o**(-6/11)))**37/((o/(o*o*o**1))**(-12)/(o**(2/5))**10) assuming o is positive. o**(2444/11) Simplify (v/(v**5*v))/v**(-1/3)*(v*v**(2/7))**(-7)*(v/(v**(-1/2)/v*v))**(4/13)/((v/((v**(2/21)/v)/v))/v**(-3)) assuming v is positive. v**(-1739/91) Simplify ((o*o*o*(o/o**(1/3))/o)**(-3/17)/(o/(o/(o**10*o*o))*o*o**(-3/29)/o))**(-40) assuming o is po
{ "pile_set_name": "DM Mathematics" }
inder when 65 is divided by s. 1 Let y = 55 + -52. Suppose -4*u + 297 = 5*g, 0 = -y*u - 5*g + 214 + 15. Calculate the remainder when u is divided by 14. 12 Let r(k) = -k**2 - 5*k + 25. Let f(t) = -t**3 + t**2 + t + 9. Let y be f(3). Calculate the remainder when r(y) is divided by 8. 3 Let t = -781 + 833. Calculate the remainder when 55 is divided by t. 3 Suppose 3*r + 4*f = 103, 4*r - 10 = 2*f + 142. Calculate the remainder when 517 is divided by r. 36 Let t(d) = d**2 - 2*d + 19. Calculate the remainder when 32 is divided by t(0). 13 Let i = -972 - -989. Calculate the remainder when 338 is divided by i. 15 Let d(x) = x**2 + 7*x + 14. Calculate the remainder when 64 - (1 - (1 + 2)) is divided by d(-7). 10 Let u(i) = i**3 + 2*i**2 + 16*i + 2. What is the remainder when 172 is divided by u(0)? 0 Suppose -r - 5*i + 21 = -i, -4*i - 20 = 0. Let m = -6 + r. What is the remainder when m is divided by 19? 16 Let f be 3/(-9) - 8/(-6). Let x be (f - 4 - -4)*3. Let k = x + 8. What is the remainder when 30 is divided by k? 8 Let o(f) = -17*f + 499. What is the remainder when o(28) is divided by 6? 5 Let w = -377 - -576. What is the remainder when w is divided by 51? 46 Suppose 3*s - 984 = 4*p, p + 1640 = 5*s - 2*p. What is the remainder when s is divided by 55? 53 Suppose -2*t = -5*n + 313, -4*t = -2*n - 45 + 183. What is the remainder when n is divided by 27? 7 Let g = 34 - -88. Let v = g - 62. Suppose 2*h - 6*h = -v. Calculate the remainder when h is divided by 8. 7 Let z = 30 - -40. What is the remainder when z is divided by 22? 4 What is the remainder when ((-246)/(-8))/((-3)/(-4)) is divided by 13? 2 Let c = -5 - -39. Suppose 0 = -8*n + c + 14. What is the remainder when 7 is divided by (-3)/n*-2 - -5? 1 Suppose 0 = 23*a - 20*a - 378. What is the remainder when a is divided by 4? 2 Let w(y) = -y**2 + 10*y - 9. Let t be w(6). Let q(s) = t*s - 8*s + 0 + 4 - 9*s. Calculate the remainder when 27 is divided by q(-3). 7 Let k = -14 + 26. Suppose -16*a + 148 = -k*a. Calculate the remainder when a is divided by (1/4)/(6/312). 11 Suppose 103*p = 100*p + 498. What is the remainder when p is divided by 59? 48 Suppose -2*c + 12 = -0*c. Let p = -7 - -41. Suppose -2*r - c = -p. Calculate the remainder when r is divided by 8. 6 Let s(h) = -15. Let b(i) = i - 44. Let z(n) = 3*b(n) - 8*s(n). Calculate the remainder when (36 - 2)*1 - 1 is divided by z(7). 6 Let p = 164 + -93. Suppose -11 = 3*s - 26. Suppose 63 = 3*f + f - 3*c, -s*f = 3*c - 99. What is the remainder when p is divided by f? 17 Let l(h) = -h**3 + 9*h**2 + 17*h - 111. Calculate the remainder when 404 is divided by l(7). 86 What is the remainder when (19/95)/((-2)/(-4610)) is divided by 11? 10 Suppose 145*t - 217*t = -1872. Calculate the remainder when 856 is divided by t. 24 What is the remainder when 4/(-4)*1*(2 + -5) is divided by 2? 1 Suppose 0 = -3*o - 2*f + 127 - 53, -o - f + 26 = 0. Calculate the remainder when 36 is divided by o. 14 Suppose 3*l = 7*b - 2*b + 115, 3*l - 3*b - 105 = 0. What is the remainder when 99 is divided by l? 9 Suppose 0*w + 2*w = -10, -w = u - 85. Suppose -5*c - u = -3*h, -4*h = -h + 2*c - 69. Calculate the remainder when h is divided by 7. 4 Let w = 12 + -13. Let u be ((-1)/(-2))/(w/(-12)). Let y = u + 2. What is the remainder when y is divided by 2? 0 Suppose 4*c - 40 = -c. Calculate the remainder when c is divided by (3/5)/((-2)/(-10)). 2 Let s = -5 - -5. Suppose 5*z - 3*h = 208, s*z - 5*h + 77 = 2*z. Let d = 89 - z. Calculate the remainder when d is divided by 10. 8 Suppose 5920 = 78*d + 130*d + 1968. What is the remainder when 4/(-10) + (-434)/(-10) is divided by d? 5 Let g(d) = 6*d**2 - 5*d - 5. Calculate the remainder when g(-2) is divided by 27. 2 Let p = 118 + -96. Calculate the remainder when 57 is divided by p. 13 Calculate the remainder when 76/(-304) + 322/8 is divided by 18. 4 Suppose -4 = g + 12. Let a be (-24)/g + 89/2. Suppose -2*b + 0 + a = 0. Calculate the remainder when 43 is divided by b. 20 Let u(i) = i**3 + 2. Let f = 6 + -6. Let d be u(f). Suppose -2*z = j - 4*j - 19, -d*j = -2*z + 20. What is the remainder when 30 is divided by z? 8 Let p = 102 + -101. Calculate the remainder when 61 is divided by 4/(-6) + p + 248/12. 19 Let y(s) = s. Let z(c) = 11. Let g(u) = -3*y(u) - z(u). Suppose j + k - 10 + 1 = 0, -5*j = -2*k - 17. What is the remainder when g(-10) is divided by j? 4 Let v = 1 + 6. What is the remainder when 97 is divided by v? 6 Suppose -45*n + 15*n + 330 = 0. What is the remainder when 185 is divided by n? 9 Let w = 400 - 335. Let y(g) = -6*g - 9. Calculate the remainder when w is divided by y(-7). 32 Let j = -8 + 232. What is the remainder when j is divided by 15? 14 Let i(m) = -1 + m**3 - 5*m**2 + 2 + 8*m - 6*m**2 - 2*m**3. Let p = 0 - 12. Calculate the remainder when i(p) is divided by 17. 15 Let l = -22 + 1. Let m = -15 - l. Let s(i) = -i**3 + 7*i**2 - i + 7. What is the remainder when s(m) is divided by 13? 11 Suppose 5*y = 2*k + 789, y + 11*k - 15*k - 165 = 0. What is the remainder when y is divided by 5? 2 Suppose 0 = -6*v - v + 2884. What is the remainder when v is divided by 59? 58 Let u = -282 + 291. What is the remainder when 15 is divided by u? 6 Let t(y) be the second derivative of 2*y**3/3 - 2*y. Suppose 5*w = -10, 5*z + 2*w + 1 = 52. Calculate the remainder when t(5) is divided by z. 9 Suppose v - d = 37, -4*v + 6*d = 10*d - 156. Calculate the remainder when 1937 is divided by v. 37 Let z = 94 + -87. Suppose y = -y + 40. Calculate the remainder when y is divided by z. 6 Let a = -1583 - -1593. Calculate the remainder when 287 is divided by a. 7 Suppose -50 - 5098 = -9*m. Calculate the remainder when m is divided by 14. 12 Suppose 3*v = 4*v - 75. Let p = v - 37. Let q = p + 5. Calculate the remainder when q is divided by 22. 21 Suppose 0 = -5*r + 3*f - 140, 3*r + 3*f = -r - 139. Let h = r + 48. What is the remainder when h is divided by 7? 3 Let v(m) = 2*m**3 - 11*m**2 + 13*m. Calculate the remainder when v(6) is divided by 15. 9 Let z = -745 - -772. What is the remainder when z is divided by 10? 7 Suppose 5*c - 4*o - 77 = 0, 0 = 3*c + 2*o - 30 - 3. Suppose 20 = -3*k + 8*k. Suppose k*r = 202 - 50. Calculate the remainder when r is divided by c. 12 Suppose -25 = -2*y - 3. Let b = 2538 - 2499. What is the remainder when b is divided by y? 6 Suppose 3*i - 139 = -4*f, 2*i + 24 = 4*f + 150. What is the remainder when i is divided by 3? 2 Let p(a) = 3*a**2 + 73*a + 221. Let f = 4 - -20. Suppose 5*k - f = 31. What is the remainder when p(-3) is divided by k? 7 Let s(y) = -5*y + 8. Let q be s(4). Let x be (3 - q/(-3))*-2. Suppose -9 = 3*m - 0, -5*m - 43 = -x*o. Calculate the remainder when o is divided by 4. 2 Suppose -33 = -d - 2*d. Suppose 244 = g - 66. Suppose 2*x + 8*x - g = 0. What is the remainder when x is divided by d? 9 Let b = -39 + 46. Suppose -20 - 36 = -b*z. What is the remainder when 28 is divided by z? 4 Suppose 236 = 27*w - 25*w + x, -x - 364 = -3*w. What is the remainder when w is divided by 116? 4 Suppose a + 5*c - 25 = 4*c, 5*a = 2*c + 118. Calculate the remainder when 1*-3*(-9 + 7 - a) is divided by 16. 14 Let u = 158 + -132. What is the remainder when u is divided by 15? 11 Let m = -20 - -20. Suppose -3*c + 33 = -m*c. Calculate the remainder when -30*(3 - 13/3) is divided by c. 7 Let u(l) = -l**3 - 25*l**2 + 23*l - 32. What is the remainder when 225 is divided by u(-26)? 41 Suppose 0 = -463*r + 462*r + 98. Calculate the remainder when r is divided by 11. 10 Suppose -2*u + 11 = -3*d - 0, 4*u - 19 = 5*d. Suppose 2*t + 35 = 5*f - 2*t, 5*f - t = 20. Let q = f + -2. What is the remainder when q is divided by u? 0 Let c(m) = -m**3 - 5*m**2 - 3*m + 2. Let v be c(-3). Let j(h) = -h. Calculate the remainder when (18/27)/((-4)/(-114)) is divided by j(v). 5 Let w(j) = -j + 14. Calculate the remainder when (2 - 1)/(27/23760*16) is divided by w(0). 13 Suppose -3*l = -10 + 4. Suppose -5*v = -l*v - 9. Suppose v*s - 7*s + 88 = 4*k, -k - 73 = -4*s. Calculate the remainder when 75 is divided by s. 18 Let c(w) = 110*w**2 + 11*w + 20. Calculate the remainder when c(-2) is divided by 26. 22 Let q(s) = 12*s**2 + 3*s - 1. Let d be (4 + -1)/(9/78). Let i = -12 + d. Calculate the remainder when q(2) is divided by i. 11 Suppose -4*z + 4*g +
{ "pile_set_name": "DM Mathematics" }
- 136 - 12 = 5*z, -i = 2*z + 37 for i. 5 Solve -2*z - 24 = -5*q, -177997*z - 9 = -177996*z - q for z. -7 Solve 0*o = -5*o - y - 162, -11*o - 132 = -6*o - o + 2*y for o. -32 Solve -w - 3*z = 66, -2*w - 265*z = -269*z - 78 for w. -3 Solve 37*z = 42*z + 5*l - 65, 8*z - 87 = -z - 0*z + l for z. 10 Solve 3*a + 4*d + d = -98, 19*d + 110 = -22*d + 36*d for a. 4 Solve 0 = -3*v + z - 4*z - 39, -4*z - 389 = -167 - 178 for v. -2 Solve -4*l + 302 = -2*i + 7*i + 38, -4*l - 15 = -i + 33 for i. 52 Solve 7*i = 2*f + 34, -i + 790 - 1564 + 788 = 2*f for f. 4 Solve 14270 - 14273 = v - k, 19 = 3*v + 11*k for v. -1 Solve 84*x = 88*x - 3*o + 7, 3*o + 17 = -20*x for x. -1 Solve 7*j + 17*j - 26*j = -2*l + 212, 7*l + 32*j - 898 = 0 for l. 110 Solve -h + 22 = 3*n - 0*h, -1375*n - 14*h + 144 = -2745*n + 1371*n for n. 4 Solve -3*s = 8*b + 12*b - 51 - 38, 6*s - 32 = -5*b + 6 for b. 4 Solve 2*y - 71*j + 25*j + 27*j = -24*j - 26, j = 4*y + 30 for y. -8 Solve 4*b - 4*y + 44 = 0, -1162*y + 1160*y = -13*b - 132 for b. -10 Solve 2475*u = 9*k + 2477*u + 42, -16*u + 18*u = -6 for k. -4 Solve 370361*d - 370357*d - 48 = s, -s = 2*d - 30 for s. 4 Solve -6*h = 3*b - 159, -446*b = -447*b + 3 for h. 25 Solve -8*i + 2096760*s - 2096755*s + 5 = 0, 3*i + 5*s = -5 for i. 0 Solve 2*s + g + 39 = 34, 9*g - g - 3*g = g - 12 for s. -1 Solve -586*s + 14 = -588*s - 4*v - 5 - 9, -49 = 7*v for s. 0 Solve -175 = -5*h + 5*d, -105*h + 35*d - 15*d - 251 = -106*h - 51*d for h. 38 Solve 6*l + 2*u - 4 = l, -32687*l + 32684*l = 10*u - 20 for l. 0 Solve 3*x - 15*z - 5*z - 2*z + 609 = 0, 70 - 1 = -3*x + 2*z for x. -5 Solve 14 + 21 - 19 = -h + 3*v, 3*h - 3*v = -60 for h. -22 Solve 98*g = -5*h + 180*g - 86*g, -5*h + 2*g = 30 for h. -4 Solve -2*s + 1 = n, -18*n = -162*s + 160*s + 8*n + 28 for s. 1 Solve 80 = -5*z - 26*p + 21*p, 0*z - 38 = 3*z + 8*p for z. -18 Solve -16 = -4*g + 278835*w - 278831*w, 18*g = -5*w + 49 for g. 3 Solve 2*o - 9 = 3*r, o = -11*r + 28*r - 18*r - 3*o - 17 for r. -5 Solve -55*n + 6*l + 923 = 126*n, 5*n = -125*l + 121*l + 13 for n. 5 Solve -4*j = -4*l + 40, -1373503*j - 3*l + 35 = -1373507*j for j. -5 Solve 0*f - k = f - 2187 + 2196, 0 = -3*f + 3*k + 27 for f. 0 Solve -2*p - 51*o + 77 + 30 + 51 = 0, 3*o = 10 + 2 for p. -23 Solve -294 = -n - 3*b - 126 - 117, 2*b - 34 = n for n. 0 Solve 99 = 17*g - 4*d, 1159*d = 5*g + 1155*d - 15 - 0 for g. 7 Solve -3*d = 4*a + 121, 257*d + 258*d = 5*a + 517*d + 69 for a. 5 Solve -13*u = -5*f + 102, -140*u - 6 = -f - 141*u for f. 10 Solve 3*u + 97 = -4*v, 23 = -11*u + 10*u - v for u. 5 Solve -124*s = 2*t - 126*s + 50, 11*t - 28 = 12*s - 308 for t. -20 Solve -29*b + 28*b = 4*f - 179, 12*f - 28*f + 208 = -4*b - 11*f for b. 3 Solve 3*i = -0*i - 4*k - 21, -k - 21 = -168*i + 171*i for i. -7 Solve -5*z + 2570 = 2555, 4*w + 11 = 17*z for w. 10 Solve 199*x + 3387 = 4*u, -3*u + 6968 = 5*x + 7050 for x. -17 Solve -2*j - 4*k = 18, -2*k - 2493 = 26*j - 2209 for j. -11 Solve -8*d - 10*h = -6*h + 24, 6 = 2*d - 12*h + 10*h for d. -1 Solve -4*l = -4*x + 28, 31 = -162*l + 149*l + 7*x for l. 3 Solve 0*x + 2*x + z + 17 = 0, 4*x + 1202*z + 13499 = 6*x + 227*z - 3076 for x. 0 Solve -64*u + 182*q + 723 = -32*u - 27*u, 5*u + 9 = -q for u. -1 Solve -254*x - 2 = -256*x + 6*o, -2*x + 2*o - 16 = 2*x for x. -5 Solve 8*s + 11*h + 87 = s + 6*h, 4*s - 69*h + 71*h = -48 for s. -11 Solve -90 = -401256*s + 401252*s + 3*v, s - 2*v - 29 = 2*v - 0*v for s. 21 Solve 3*k = -3, -6*k + k - 5*k + 3*k = h + 10 for h. -3 Solve -12*u = -3*n + 210, 7 = -122*n + 117*n - u for n. 2 Solve -13*w - c + 69 = -9*w - 6*c, 6*c - 2*c + 52 = 0 for w. 1 Solve -5*t + 13 = 3*y, -8480*t - 962 = -8476*t - 86*y for t. -4 Solve 4*x + 6 = -4*y + 62, -y - 5*x + 91 = -4*y - x for y. -5 Solve -q + 1936*c - 624*c + 1238 = 3883, -5*c + 52 = -2*q for q. -21 Solve -9 = -15*j + 14*j + 4*s, -3*s = j + 12 for j. -3 Solve -3*p + 26 = -2*k - 9*p, -3*k + 48*p = 43*p - 3 for k. -4 Solve -16*y - 18*y + g + 3 = -33*y, 3*g - 3 = -y for y. 3 Solve 2*h + y + 19 = 0, 12*h + 22*y + 74 = 11*h + 43*y for h. -11 Solve 3*j + 41*b - 13*b = -0*j + 24, 0 = -4*j + 3*b + 32 for j. 8 Solve -t + 6*t - t - 5*r = -172, 2*t + 35*r = 28*r - 86 for t. -43 Solve -40 = -3*a - 4*r, -7 - 92 = -16*a - 5*r for a. 4 Solve 33 = 2*t - 5*l - 34 + 57, 0 = 3*t + 5*l + 35 for t. -5 Solve 0 = -5*a + 4 + 21, 12 = 32*x - 39*x + 5*a + 8 for x. 3 Solve -64512*d = -n - 64508*d + 16, 0 = 3*n + 5*d + 4*d + 36 for n. 0 Solve -k + 3*k = -5*v + 2 + 29, 13*k = -11*v + 6 + 52 + 36 for v. 5 Solve 4*p - 4*w = 12, 47*p - 16*p + 36*w + 74 = 14*p + 19*p for p. 1 Solve 2*d = 3*z - 2*z, 975*d - 16 = 3*z + 977*d for z. -4 Solve 4*o - 937 + 799 = 2*c, 4*c + 382*o + 148 = 386*o for c. -5 Solve 5*o = -2*z + 3, 17*z = -4*o + 1132 - 914 for z. 14 Solve -5*k - 5282 = -5277, 14*k + 9 = -m for m. 5 Solve -3024*a + 6056*a = 3031*a + 5, -24 = o - 3*a for o. -9 Solve 3*i = -g + 17, -2607 + 2676 = 5*g + 11*i for g. 5 Solve -4*b - 5*c + 95 = 0, 31*c - 3*c - 45*c = 3*c - 380 for b. 0 Solve -3*d + 448 = -89*y, -13 = 2*y + 156*d - 159*d for y. -5 Solve 16900*m - 19 = -4*x + 16905*m, 5*x - m = 29 for x. 6 Solve 5*v = -14*u + 2*v + 174 - 73, 0 = u + 4*v - 11 for u. 7 Solve v + 4*v - 4*k = -83 + 42, 5*v - 2*k - 29 = 8*v for v. -9 Solve 4*m - 13*l + 16 = -11*l - 26, -6*m - 15 = 2*l + 23 for m. -8 Solve 5*i - 5 = -4*g - 0 + 7, 6*i - 1029 = -4*g - 1017 for i. 0 Solve 7*w = h + 3*w, -2*w = 640609*h - 640614*h + 54 for h. 12 Solve 17*f + 4*p = 20*f - 98, -5*f = -17*p - 184 for f. 30 Solve -13422*h + 13420*h - 4*k + 42 = 0, 0 = 8*h + 4*h + 5*k - 62 for h. 1 Solve -3*d = 2*o - 58, -15*d + 20*d + 22*o - 13*o - 91 = 0 for d. 20 Solve -964*h - 17 = -961*h - i, -5*i + 74 = -4*h for h. -1 Solve -16079*r = -16082*r + 3*h - 12, -r = 2*h - 2 for r. -2 Solve -22*z - 2*m = -1 + 3, 0 = z - 4*m - 5 + 1 for z. 0 Solve 22 = -5*v - 5*t + 37, -74*v + 0*t - 3*t = 275 for v. -4 Solve -13035*q + 13039*q + 32 = -4*j, -2*q - 26 = 3*j - 5 for q. -3 Solve 11*l = 4*j + 12*l + 5, 1308*j - 4*l = 1309*j - 10 for j. -2 Solve -3*x = -12, r + 22*x = -0*r - 18*x + 44*x + 23 + 52 for r. 91 Solve -143*r - 1019*s = -1021*s - 2482 + 619, 0 = -4*r - 4*s + 44 for r. 13 Solve 3*l - 4*u + 29 = 0, -227*l - 87 = -229*l - 7*u for l. 5 Solve -200 = -3*r - 10*o + 4, 7*r + 2*o = 8*r + 44 for r. -2 Solve 0*w + 5*w = u + 134, 6*w - 251967*u - 153 = -251958*u for w. 27 Solve 1255*h - 1259*h + 6*p - 6 = 0, 7 = -7*p for h. -3 Solve 9*n - 2 = 5*z - 3*z + 12, 0*z - 3*z = -3*n for n. 2 Solve -61 = -2*t - 15*r + 34, -35 = -5*r for t. -5 Solve -3*n + 67 = -2*i, 0 = -5*i + 11779*n - 11790*n + 295 for i. 4 Solve 2*p + 30*z - 268 = 0, p - 2*z - z - 11839 = -p - 11868 for p. -1 Solve 0 = -5*v + 18*c + 17 + 37, -3*v - 2*c - 24 = -7*v + 44 for v. 18 Solve -d - 2*c = d - 36 - 52, -2*d + 29*c - 1183 = 0 for d. 3 Solve o - 39 = 7*x, -283*o + 286*o = -5*x - 13 for o. 4 Solve 4*f = 3*z + 63, -4*f - 11*f + 113 = 49*z - 53*z for z. -17 Solve -4*g - 55 = -3*r, -r - 247881*g - 38 = -247878*g for r. 1 Solve 3*h = -3*j, 0 = -8351*h + 8342*h + 4*j + 26 for h. 2 Solve 986229 = 2*f - 4*g + 986135, -5*f = 9*g - 216 for f. 45 Solve -4*n + 3*c = 25, -2*n - 939 = 31*c - 894 for n. -7 Solve 5*f + 2 = -i + f + 25*f, -4*i = -4*f + 8 for i. -2 Solve -3*f + 223 = -172*c + 83*c + 93*c - 168, 0 = 9*f - 3*c + 237 for f. 5 Solve 0 = -3*g - 2861 + 2870, -5*g + 55 = -5*q for q. -8 Solve -5*z - 30 = 3*d - 2*z, 284*d + 3*z = 1253*d + 1914 for d. -2 Solve 12501*t - 12488*t + m + 44 = 0, -3*t = -4*m - 11 for t. -3 Solve -3*d - 7*k = -0*d - 212, -k + 1940 = -2*d + 1900 for d. -4 Solve 3*a = -2*s - 6, s - 3*a - 9 = -10 + 3 + 4 for s. 0 Solve 3*n - 20598*k = -20601*k + 57, -5*k = n - 83 for n. 3 Solve 40 = 2*n + 2*n - 2*n - 7*l, 0 = -2*n - 7*l + 4*l - 20 for n. -1 Solve -4*l - 48*f - 641 = -501, 0 = l + 4*f + 27 for l. -23 Solve -c + 257*u - 3343 = 0, 0*u + 8 = u - 2 - 3 for c. -2 Solve -67*p + 41 = 13*q - 62*p - 90, 10*q - 3*p = 6*q + 4 for q. 7 Solve -10*r - 2*a - 23423 = -23351, -39 = 3*r + 2*a + 68 for r. 5 Solve 35*n - 1185 = 5*t, -6*n + 116 = 4*t - 14 - 78 for n. 34 Solve -8*m - h = -9*m - 0*h + 32, 10*h = -3*m - 307 for m. 1 Solve -32*t - 3*j = -146, -7871*t + 3938*t + 5*j = -3935*t + 38 for t. 4 Solve 0 = -4*z - 2*i + 212 + 222, -3*z = 6*i + 37 - 119 - 248 for z. 108 Solve 7*l + 6*w - 138 = 3*w, -9
{ "pile_set_name": "DM Mathematics" }
+ 60*l**2 + 5*l - 60. -5*(l - 12)*(l - 1)*(l + 1) Find v such that -v**2/3 - 62*v - 2883 = 0. -93 Determine v, given that -v**3/7 - 1039*v**2/7 - 2074*v/7 = 0. -1037, -2, 0 Factor 3*k**2 + 309*k + 4386. 3*(k + 17)*(k + 86) Solve 2*x**2/9 + 166*x/9 = 0. -83, 0 What is o in -5*o**4 - 260*o**3 - 750*o**2 - 740*o - 245 = 0? -49, -1 Suppose -70*m**5 - 155*m**4 + 250*m**3 + 200*m**2 - 180*m - 45 = 0. What is m? -3, -1, -3/14, 1 Suppose 2*v**5/3 - 32*v**4/3 - 10*v**3/3 + 160*v**2/3 + 8*v/3 - 128/3 = 0. What is v? -2, -1, 1, 2, 16 Let -3*l**4 + 63*l**3 - 297*l**2 - 363*l = 0. What is l? -1, 0, 11 Solve -n**4 + 28*n**3 - 222*n**2 + 364*n - 169 = 0 for n. 1, 13 Suppose a**3/4 + 11*a**2/4 - 3*a = 0. Calculate a. -12, 0, 1 Find m, given that m**3/9 - 16*m**2/9 + 5*m/3 = 0. 0, 1, 15 Find q such that q**2/4 + 9*q/4 - 63 = 0. -21, 12 Suppose j**2 + 10292*j + 26481316 = 0. What is j? -5146 Solve 4*z**2 - 64*z + 192 = 0. 4, 12 Factor -2*b**4/7 + 40*b**3/7 - 200*b**2/7. -2*b**2*(b - 10)**2/7 Suppose -10*v**4 + 185*v**3 - 650*v**2 - 1640*v + 960 = 0. What is v? -2, 1/2, 8, 12 Solve 3*l**3/2 + 117*l**2 + 2160*l - 4800 = 0. -40, 2 Let 15*k**5 - 174*k**4 + 78*k**3 + 1428*k**2 + 1851*k + 690 = 0. What is k? -1, 23/5, 10 Factor 11*z**2/8 + 183*z/8 - 17/2. (z + 17)*(11*z - 4)/8 Determine l so that 5*l**3/3 - 5630*l**2/3 = 0. 0, 1126 Factor 4*r**2/7 - 132*r/7. 4*r*(r - 33)/7 Solve -2*h**3 + 42*h**2 - 40*h = 0. 0, 1, 20 Suppose 15*b**2 + 8425*b - 2810 = 0. What is b? -562, 1/3 Find k such that 4*k**3 + 156*k**2 + 1596*k + 1444 = 0. -19, -1 Factor 2*p**4/5 + 6*p**3/5 + 4*p**2/5. 2*p**2*(p + 1)*(p + 2)/5 Factor -4*o**2/3 - 200*o/3 + 1856/3. -4*(o - 8)*(o + 58)/3 Determine q, given that -q**4/7 - 11*q**3/7 - 3*q**2/7 + 29*q + 28 = 0. -7, -1, 4 Find w, given that -64*w**3/7 - 6176*w**2 - 21604*w/7 - 2700/7 = 0. -675, -1/4 Suppose 4*q**5 + 48*q**4 - 60*q**3 - 1112*q**2 + 3312*q - 2592 = 0. Calculate q. -9, 2 Let -2*n**3 + 10*n**2 + 44*n + 32 = 0. Calculate n. -2, -1, 8 Factor k**2/3 - 55*k/3 + 18. (k - 54)*(k - 1)/3 Factor -2*i**2 + 24*i/5 - 8/5. -2*(i - 2)*(5*i - 2)/5 Find z, given that 2*z**4 - 14*z**3 + 10*z**2 + 14*z - 12 = 0. -1, 1, 6 Factor 19*o**3/10 - 56*o**2/5 - 29*o/2 - 7/5. (o - 7)*(o + 1)*(19*o + 2)/10 Solve 3*m**5 + 207*m**4 + 1350*m**3 + 3012*m**2 + 2232*m = 0. -62, -3, -2, 0 Suppose -d**3/2 - 5*d**2 - 9*d/2 = 0. What is d? -9, -1, 0 Factor 3*f**5 + 129*f**4 + 246*f**3 - 6*f**2 - 249*f - 123. 3*(f - 1)*(f + 1)**3*(f + 41) Factor -i**5 - 16*i**4 + 143*i**3 - 394*i**2 + 452*i - 184. -(i - 2)**3*(i - 1)*(i + 23) Factor i**3/3 + 4*i**2/3 + i/3 - 2. (i - 1)*(i + 2)*(i + 3)/3 Factor 5*x**3 - 130*x**2 + 460*x - 440. 5*(x - 22)*(x - 2)**2 Factor -b**3 - 27*b**2 - 146*b - 120. -(b + 1)*(b + 6)*(b + 20) Solve 3*y**5 + 4*y**4 - 17*y**3 - 6*y**2 = 0 for y. -3, -1/3, 0, 2 Solve m**2 + 94*m = 0 for m. -94, 0 Factor 2*h**3/13 + 76*h**2/13 - 6*h. 2*h*(h - 1)*(h + 39)/13 Suppose n**2 + 2710*n + 1836025 = 0. What is n? -1355 Let -f**2/4 - 343*f/4 - 255 = 0. Calculate f. -340, -3 Factor -a**3 + 64*a. -a*(a - 8)*(a + 8) Factor f**3/3 - 11*f**2 + 10*f + 64/3. (f - 32)*(f - 2)*(f + 1)/3 Let -3*d**3 + 27*d**2 - 69*d + 45 = 0. Calculate d. 1, 3, 5 What is j in 4*j**3 + 616*j**2 + 2416*j + 2400 = 0? -150, -2 Factor 2*s**2/19 - 2*s/19 - 544/19. 2*(s - 17)*(s + 16)/19 Factor 2*q**2/5 + 44*q/5 - 208/5. 2*(q - 4)*(q + 26)/5 Determine u so that -4*u**2 - 300*u + 3784 = 0. -86, 11 Let -2*w**4 - 32*w**3 + 44*w**2 + 176*w + 102 = 0. Calculate w. -17, -1, 3 Factor 4*d**5 + 32*d**4/5 + 12*d**3/5. 4*d**3*(d + 1)*(5*d + 3)/5 Solve -2*f**3/9 - 8*f**2/9 + 178*f/9 - 56/3 = 0. -12, 1, 7 Factor -4*q**3/5 - 1016*q**2/5 - 404*q - 1008/5. -4*(q + 1)**2*(q + 252)/5 Solve z**2 - 63*z + 180 = 0 for z. 3, 60 Let 4*v**2 + 5712*v + 2039184 = 0. What is v? -714 Solve 2*i**5/5 + 4*i**4/5 - 8*i**3/5 - 4*i**2/5 + 6*i/5 = 0. -3, -1, 0, 1 Find w, given that -w**2/3 + 14*w = 0. 0, 42 Factor m**4/7 - 11*m**3/7 + 33*m**2/7 - 37*m/7 + 2. (m - 7)*(m - 2)*(m - 1)**2/7 Factor 2*o**3/3 - 70*o**2/3 + 64*o. 2*o*(o - 32)*(o - 3)/3 Suppose -t**3/3 + 2*t**2/3 + 559*t/3 + 4732/3 = 0. Calculate t. -13, 28 Factor -h**4/7 + 10*h**3/7 - 3*h**2 - 40*h/7 + 100/7. -(h - 5)**2*(h - 2)*(h + 2)/7 Factor a**2/8 + 141*a/4 + 19881/8. (a + 141)**2/8 Suppose 2*y**5/5 - 6*y**3 - 4*y**2 + 48*y/5 = 0. Calculate y. -3, -2, 0, 1, 4 Let 6*g**4 + 87*g**3 - 747*g**2 + 1485*g - 567 = 0. Calculate g. -21, 1/2, 3 What is f in 32*f**2/5 - 20*f + 12/5 = 0? 1/8, 3 Factor 4*l**5 - 68*l**4 + 360*l**3 - 712*l**2 + 596*l - 180. 4*(l - 9)*(l - 5)*(l - 1)**3 Let 3*l**5/2 + 737*l**4/2 + 481*l**3/2 - 2217*l**2/2 - 1472*l - 490 = 0. What is l? -245, -1, -2/3, 2 Factor 2*l**5 - 46*l**4 - 150*l**3 - 154*l**2 - 52*l. 2*l*(l - 26)*(l + 1)**3 Factor g**3/3 + 11*g**2/3 - 4*g. g*(g - 1)*(g + 12)/3 Suppose -h**3/2 - 49*h**2/2 - 312*h - 288 = 0. Calculate h. -24, -1 Factor -2*b**3/11 + 4*b**2/11. -2*b**2*(b - 2)/11 Factor j**2/7 + 548*j/7 + 75076/7. (j + 274)**2/7 Factor 15*a**3 + 6*a**2. 3*a**2*(5*a + 2) Factor 4*d**3 - 4052*d**2 + 1036224*d - 5080320. 4*(d - 504)**2*(d - 5) Factor 3*r**2 - 129*r - 132. 3*(r - 44)*(r + 1) Determine i so that 16*i**2 + 5816*i + 528529 = 0. -727/4 Let 3*s**2 + 5499*s = 0. Calculate s. -1833, 0 Factor -3*s**4/4 + 9*s**2/2 - 6*s + 9/4. -3*(s - 1)**3*(s + 3)/4 Solve 4*v**3 + 10*v**2 - 8*v - 24 = 0 for v. -2, 3/2 What is a in -3*a**3/5 - 162*a**2/5 - 63*a - 156/5 = 0? -52, -1 Factor -4*l**3/5 + 36*l/5. -4*l*(l - 3)*(l + 3)/5 Suppose -p**2/11 + 153*p/11 - 302/11 = 0. What is p? 2, 151 Determine a, given that 2*a**3 - 26*a**2 - 2*a + 26 = 0. -1, 1, 13 Factor -n**3/5 - 64*n**2/5 - 1024*n/5. -n*(n + 32)**2/5 Suppose 120*k**5 - 250*k**4 + 15*k**3 + 10*k**2 = 0. What is k? -1/6, 0, 1/4, 2 Suppose -2*a**5 + 2*a**4 + 82*a**3 + 214*a**2 + 200*a + 64 = 0. Calculate a. -4, -1, 8 Factor 2*v**2 + 7120*v + 6336800. 2*(v + 1780)**2 Determine v, given that v**3 - 4*v**2 + 3*v = 0. 0, 1, 3 Solve -24*o**4 - 22*o**3 + 4*o**2 + 2*o = 0 for o. -1, -1/4, 0, 1/3 Factor 5*w**4 + 50*w**3 + 40*w**2 - 50*w - 45. 5*(w - 1)*(w + 1)**2*(w + 9) Factor -2*u**4/5 - 94*u**3/5 - 54*u**2 - 266*u/5 - 88/5. -2*(u + 1)**3*(u + 44)/5 Find r, given that 75*r**2/2 - 153*r + 12 = 0. 2/25, 4 Factor 2*i**5/3 - 2*i**4 - 10*i**3 - 34*i**2/3 - 4*i. 2*i*(i - 6)*(i + 1)**3/3 Determine f, given that -27*f**2 - 111*f - 84 = 0. -28/9, -1 Determine b so that -4*b**4 + 112*b**3 + 12*b**2 - 328*b - 224 = 0. -1, 2, 28 Solve 3*l**3/8 + 219*l**2/4 - 2757*l/8 - 399 = 0. -152, -1, 7 Find x, given that -3*x**2 + 1410*x - 165675 = 0. 235 Factor 4*w**3 + 1066*w**2 + 2644*w + 1056. 2*(w + 2)*(w + 264)*(2*w + 1) Solve -3*s**3 - 99*s**2 - 360*s - 348 = 0. -29, -2 Factor -2*p**2/3 + 86*p/3. -2*p*(p - 43)/3 Let 2*v**4 + 102*v**3 - 692*v**2 - 408*v + 2736 = 0. What is v? -57, -2, 2, 6 Solve -2*k**4 + 18*k**3 - 52*k**2 + 48*k = 0. 0, 2, 3, 4 Solve 4*g**4/7 + 44*g**3/7 + 92*g**2/7 - 44*g/7 - 96/7 = 0. -8, -3, -1, 1 Determine m so that -45*m**5 + 305*m**4 - 425*m**3 - 425*m**2 + 470*m + 120 = 0. -1, -2/9, 1, 3, 4 Solve l**5/8 - 61*l**4/8 + 449*l**3/4 + 511*l**2/4 - 899*l/8 - 961/8 = 0 for l. -1, 1, 31 What is i in -2*i**4 - 10*i**3 + 22*i**2 + 66*i + 36 = 0? -6, -1, 3 Solve z**3 - 26*z**2 + 169*z = 0 for z. 0, 13 Factor 4*o**3 - 39516*o**2 + 130126188*o - 142835179028. 4*(o - 3293)**3 Factor 3*s**2/5 + 216*s/5 + 3888/5. 3*(s + 36)**2/5 Find s, given that 4*s**5 + 52*s**4 + 156*s**3 + 108*s**2 = 0. -9, -3, -1, 0 Factor -2*g**2/3 - 176*g - 11616. -2*(g + 132)**2/3 Find k such that -25*k**4/2 + 235*k**3/2 - 345*k**2 + 320*k - 80 = 0. 2/5, 1, 4 Find o such that 4*o**5 + 20*o**4 - 52*o**3 + 28*o**2 = 0. -7, 0, 1 Suppose -3*r**3/2 + 42*r**2 + 3*r/2 - 42 = 0. What is r? -1, 1, 28 Solve x**4/4 + 19*x**3 - 79*x**2/4 - 77*x/2 = 0 for x. -77, -1, 0, 2 Determine w so that 2*w**3/5 + 34*w**2/5 + 38*w + 70 = 0. -7, -5 Let 100*r**4 + 1680*r**3 + 1296*r**2 + 256*r = 0. What is r? -16, -2/5, 0 What is o in -2*o**2 - 1218*o + 3672 = 0? -612, 3 Factor -3*z**2/2 + 1420*z - 946. -(z - 946)*(3*z - 2)/2 Suppose -2*a**5 - 8*a**4 + 12*a**3 + 8*a**2 - 10*a = 0. Calculate a. -5, -1, 0, 1 Solve -21*a**2/5 - 22*a/5 - 1/5 = 0. -1, -1/21 Factor -4*m**3 - 132*m**2 + 280*m. -4*m*(m - 2)*(m + 35) Let -7*q**5/5 + 9*q**4/5 + 3*q**3/5 - q**2 = 0. Cal
{ "pile_set_name": "DM Mathematics" }
lions digit of 3102060516? 0 What is the hundreds digit of 2347220331? 3 What is the thousands digit of 2651839650? 9 What is the tens digit of 3110048429? 2 What is the thousands digit of 3800426228? 6 What is the hundreds digit of 68257656? 6 What is the millions digit of 5333365277? 3 What is the tens digit of 1614545242? 4 What is the ten millions digit of 151479502? 5 What is the millions digit of 45655066? 5 What is the hundred millions digit of 2539970302? 5 What is the hundred thousands digit of 2772355828? 3 What is the hundred millions digit of 206968154? 2 What is the ten millions digit of 246155089? 4 What is the tens digit of 14677447? 4 What is the thousands digit of 7687080? 7 What is the hundreds digit of 45236783? 7 What is the billions digit of 1677454270? 1 What is the ten millions digit of 97643145? 9 What is the ten millions digit of 66564499? 6 What is the thousands digit of 105145577? 5 What is the units digit of 119624271? 1 What is the thousands digit of 60029283? 9 What is the ten millions digit of 339728343? 3 What is the hundreds digit of 45695716? 7 What is the hundreds digit of 27299791? 7 What is the ten millions digit of 28060348? 2 What is the ten millions digit of 1195430727? 9 What is the thousands digit of 61764557? 4 What is the ten thousands digit of 1131309098? 0 What is the hundred thousands digit of 170901855? 9 What is the thousands digit of 6593108590? 8 What is the hundreds digit of 724956624? 6 What is the hundred millions digit of 282384107? 2 What is the ten millions digit of 65305463? 6 What is the ten thousands digit of 152561280? 6 What is the thousands digit of 925663467? 3 What is the ten millions digit of 1083798160? 8 What is the hundred thousands digit of 1550149521? 1 What is the ten millions digit of 1176816466? 7 What is the thousands digit of 360463111? 3 What is the hundreds digit of 244025983? 9 What is the ten thousands digit of 92101146? 0 What is the tens digit of 6977618297? 9 What is the hundreds digit of 16406662? 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7 What is the millions digit of 1206638216? 6 What is the millions digit of 3090932134? 0 What is the hundred thousands digit of 498914190? 9 What is the tens digit of 47349999? 9 What is the ten millions digit of 43961216? 4 What is the millions digit of 1185703626? 5 What is the thousands digit of 64513555? 3 What is the tens digit of 10386622? 2 What is the units digit of 240716815? 5 What is the ten thousands digit of 177757399? 5 What is the thousands digit of 74708182? 8 What is the millions digit of 316978285? 6 What is the billions digit of 3552928143? 3 What is the tens digit of 201570876? 7 What is the tens digit of 257306386? 8 What is the tens digit of 113159626? 2 What is the ten thousands digit of 85924704? 2 What is the units digit of 16172423? 3 What is the units digit of 21298133? 3 What is the hundreds digit of 661289857? 8 What is the ten thousands digit of 698585689? 8 What is the hundreds digit of 39774745? 7 What is the tens digit of 50770304? 0 What is the ten millions digit of 20977719? 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3 What is the millions digit of 86339531? 6 What is the tens digit of 127888294? 9 What is the hundred thousands digit of 3584412343? 4 What is the ten thousands digit of 8303717? 0 What is the thousands digit of 61501543? 1 What is the thousands digit of 102103948? 3 What is the thousands digit of 358864855? 4 What is the thousands digit of 677813987? 3 What is the ten millions digit of 552747353? 5 What is the ten thousands digit of 67460829? 6 What is the billions digit of 2800134047? 2 What is the hundred thousands digit of 545145350? 1 What is the ten thousands digit of 101753479? 5 What is the units digit of 1153485940? 0 What is the hundred millions digit of 1264638288? 2 What is the billions digit of 2269691060? 2 What is the ten thousands digit of 156407340? 0 What is the ten thousands digit of 40049229? 4 What is the hundred thousands digit of 2162712070? 7 What is the ten millions digit of 396818280? 9 What is the ten millions digit of 21080790? 2 What is the hundred millions digit of 1311289434?
{ "pile_set_name": "DM Mathematics" }
251287 to five decimal places. -0.03125 Round 3156.578 to zero dps. 3157 Round 0.0000691662 to 5 dps. 0.00007 What is 155496780 rounded to the nearest one million? 155000000 What is -7328.93 rounded to the nearest 1000? -7000 What is -102129.53 rounded to the nearest one hundred? -102100 Round -0.000100982 to four dps. -0.0001 Round -0.000107212705 to 6 dps. -0.000107 What is 0.000022812144 rounded to six decimal places? 0.000023 What is -0.000005894657 rounded to 7 dps? -0.0000059 What is -0.0002831482 rounded to 6 dps? -0.000283 Round 0.000005236552 to seven decimal places. 0.0000052 What is -185123700 rounded to the nearest 1000000? -185000000 What is -0.06971923 rounded to 2 decimal places? -0.07 Round -12621.0801 to the nearest 1000. -13000 Round -27.799 to the nearest integer. -28 Round -0.09280946 to 4 dps. -0.0928 Round 1.0274222 to 2 decimal places. 1.03 What is 0.006937755 rounded to six decimal places? 0.006938 What is 64205190 rounded to the nearest one hundred thousand? 64200000 Round 0.104255 to 3 dps. 0.104 Round 746.1829 to the nearest one hundred. 700 Round -29707.71 to the nearest one thousand. -30000 Round 443826.8 to the nearest 10000. 440000 What is -5869560 rounded to the nearest 10000? -5870000 Round -5684.322 to 0 dps. -5684 What is -0.00000209608 rounded to seven decimal places? -0.0000021 What is -0.000162392 rounded to five dps? -0.00016 Round -0.0005207793 to 6 decimal places. -0.000521 Round 79674.9 to the nearest ten thousand. 80000 What is 45.98321 rounded to 2 decimal places? 45.98 What is 1067.0225 rounded to the nearest one hundred? 1100 What is -0.123322116 rounded to four dps? -0.1233 Round -1298.328 to the nearest 10. -1300 What is 0.05110683 rounded to two decimal places? 0.05 Round -0.665139 to two decimal places. -0.67 What is -22962040 rounded to the nearest one hundred thousand? -23000000 Round 0.0030883059 to 4 decimal places. 0.0031 What is -0.0002298063 rounded to six dps? -0.00023 Round -69712 to the nearest 100. -69700 What is 1.49963 rounded to 1 dp? 1.5 What is -0.0005022962 rounded to 5 dps? -0.0005 Round 0.00003875281 to seven dps. 0.0000388 Round 11339600 to the nearest one million. 11000000 What is -3920834 rounded to the nearest 10000? -3920000 Round -12.356912 to one decimal place. -12.4 Round -1.149392 to 3 dps. -1.149 What is -9065.77 rounded to the nearest 100? -9100 What is 0.0000008741729 rounded to seven decimal places? 0.0000009 What is 3.9372 rounded to the nearest integer? 4 Round 0.01517043 to 3 decimal places. 0.015 What is -356.69 rounded to the nearest integer? -357 What is 1476736 rounded to the nearest one hundred thousand? 1500000 Round -4985767.5 to the nearest ten thousand. -4990000 What is -37125200 rounded to the nearest 1000000? -37000000 What is 97.5663 rounded to zero dps? 98 Round -76974 to the nearest 100. -77000 What is 410747.37 rounded to the nearest 100000? 400000 What is -2208.1171 rounded to the nearest 1000? -2000 Round -0.01230448 to five dps. -0.0123 Round -0.002797973 to 6 decimal places. -0.002798 What is -0.0301229 rounded to 2 decimal places? -0.03 What is 0.00006663878 rounded to six decimal places? 0.000067 Round 22345300 to the nearest one million. 22000000 What is -2706.613 rounded to the nearest 10? -2710 Round -0.0000261795 to six dps. -0.000026 Round -0.0004941204 to four decimal places. -0.0005 What is 13.24019 rounded to 1 decimal place? 13.2 What is -14973410 rounded to the nearest one hundred thousand? -15000000 What is -6.13478 rounded to zero dps? -6 What is 100927850 rounded to the nearest one million? 101000000 Round -26.1072 to the nearest integer. -26 Round 0.00000952313 to 6 dps. 0.00001 What is 329014.1 rounded to the nearest 100000? 300000 What is 10.1784 rounded to two dps? 10.18 Round -0.00004806515 to five decimal places. -0.00005 Round -26.0041 to 2 dps. -26 What is 0.069342948 rounded to three dps? 0.069 Round -0.0008754445 to four decimal places. -0.0009 What is -0.3939971 rounded to four dps? -0.394 Round 24.593 to the nearest integer. 25 What is 125509200 rounded to the nearest one hundred thousand? 125500000 Round 53309.59 to the nearest one thousand. 53000 Round -29844.1 to the nearest 1000. -30000 Round 0.00175356 to five decimal places. 0.00175 What is 547.5941 rounded to the nearest ten? 550 What is -15968.63 rounded to the nearest 1000? -16000 What is 0.0007357224 rounded to 6 dps? 0.000736 What is -0.0033251 rounded to 4 decimal places? -0.0033 What is -287.9336 rounded to the nearest ten? -290 Round 1580430 to the nearest 1000000. 2000000 Round -10159.82 to the nearest 100. -10200 Round -590496.26 to the nearest 10000. -590000 What is -216126.83 rounded to the nearest ten thousand? -220000 What is -0.0010068435 rounded to 6 dps? -0.001007 What is -17532707 rounded to the nearest 10000? -17530000 What is 914984.3 rounded to the nearest one hundred? 915000 What is -84.88618 rounded to the nearest ten? -80 Round -151.577 to the nearest ten. -150 What is -1551.876 rounded to the nearest 100? -1600 What is -17611.276 rounded to zero dps? -17611 Round -0.122334 to one dp. -0.1 What is 390.527 rounded to the nearest integer? 391 Round 0.0248038 to four decimal places. 0.0248 Round -385849000 to the nearest one million. -386000000 What is -6483350 rounded to the nearest one million? -6000000 Round 0.5782035 to two decimal places. 0.58 What is 126980.2 rounded to the nearest one hundred? 127000 What is -3962870 rounded to the nearest one million? -4000000 Round -4.65789 to one decimal place. -4.7 What is 36460910 rounded to the nearest 100000? 36500000 Round 0.01805099 to 3 dps. 0.018 What is 448.805 rounded to the nearest ten? 450 What is 2788.25 rounded to the nearest ten? 2790 What is 20114700 rounded to the nearest 10000? 20110000 Round 3069.2611 to the nearest ten. 3070 Round -8.011567 to 2 decimal places. -8.01 Round 1117798.1 to the nearest ten thousand. 1120000 Round 10.73919 to two dps. 10.74 Round -20.30812 to 1 dp. -20.3 Round -0.0577432 to 4 decimal places. -0.0577 What is 0.0000003057513 rounded to 7 dps? 0.0000003 Round 320010 to the nearest one hundred thousand. 300000 Round -534387000 to the nearest 1000000. -534000000 Round 1.5201592 to three decimal places. 1.52 Round -0.000560118 to 4 dps. -0.0006 What is 26635.67 rounded to the nearest 1000? 27000 What is 4.45263 rounded to 2 dps? 4.45 What is -54.067118 rounded to 2 dps? -54.07 Round -0.00000047937 to five decimal places. 0 Round -635300000 to the nearest one million. -635000000 What is 254332.4 rounded to the nearest 1000? 254000 What is 0.0065934 rounded to 3 dps? 0.007 What is -293903 rounded to the nearest ten thousand? -290000 What is 0.00003029961 rounded to seven decimal places? 0.0000303 What is 0.0412555 rounded to two dps? 0.04 Round 837528.9 to the nearest 1000. 838000 Round 9107623 to the nearest one hundred thousand. 9100000 Round -1.99889 to 2 decimal places. -2 What is 53301500 rounded to the nearest one hundred thousand? 53300000 What is -0.2715389 rounded to 1 decimal place? -0.3 Round 0.01347485 to 5 decimal places. 0.01347 What is -0.1619789 rounded to three dps? -0.162 What is 0.0000044554544 rounded to seven decimal places? 0.0000045 Round -92621340 to the nearest one hundred thousand. -92600000 Round -20010.91 to the nearest 10000. -20000 Round 319505 to the nearest one hundred thousand. 300000 Round 6.434189 to zero dps. 6 What is 0.0000584986 rounded to four dps? 0.0001 Round 12396786 to the nearest one hundred thousand. 12400000 Round -1415.95 to the nearest one hundred. -1400 Round 0.0010625629 to five decimal places. 0.00106 Round -0.000735497 to six decimal places. -0.000735 What is 0.00005775153 rounded to five decimal places? 0.00006 Round -54528 to the nearest one hundred thousand. -100000 Round -1206390 to the nearest one hundred thousand. -1200000 What is -143093600 rounded to the nearest 1000000? -143000000 What is -1085992 rounded to the nearest 10000? -1090000 What is 87909000 rounded to the nearest 1000000? 88000000 Round 6.693499 to zero dps. 7 What is 0.01134041 rounded to 5 decimal places? 0.01134 What is 0.00076271 rounded to 5 dps? 0.00076 Round 7840.8664 to the nearest 10. 7840 What is 11053740 rounded to th
{ "pile_set_name": "DM Mathematics" }
). List the prime factors of k(-4). 2, 3 Suppose 2*l + 1 = 5*g + 29, -8 = -g - 3*l. List the prime factors of -3 + -2 + (-152)/g. 3, 11 Suppose 5*m - 27 = 18. Suppose 4*s = -5*y + 45 + 82, -3*y = -m. What are the prime factors of s? 2, 7 List the prime factors of 3 + (-2 - 1) - -242. 2, 11 Let z be (-2 - -1)/(2/74). Let n = z + 61. Suppose v = 3*v - n. List the prime factors of v. 2, 3 Let d(a) = -a**2 + a. Let w be d(1). Suppose 0 = -w*x - 3*x + 420. List the prime factors of x/18 + (-4)/(-18). 2 Let g = -95 - -311. List the prime factors of g. 2, 3 List the prime factors of (5/(-10))/(((-5)/(-162))/(-5)). 3 Suppose -2*g - 2*c - 2 = 0, 2 = 5*g - 5*c + 7. Let w be g - 1*2*-2. Suppose 32 = 2*x + 4*n, w*x - x - 34 = -5*n. What are the prime factors of x? 2, 3 What are the prime factors of ((-130)/3)/((-4)/18)? 3, 5, 13 Suppose -4*u - 12 = 0, 5*k = -3*u - 19 - 0. List the prime factors of ((-16)/12 - k)*15. 2, 5 Suppose 3*b = b + 4*d - 26, -4*b - 3*d = 8. Let f(q) = -q**3 - 4*q**2 + 2*q + 2. What are the prime factors of f(b)? 17 Suppose -92 = 4*o - 0*o. Let x = o + 39. What are the prime factors of x? 2 Suppose -2 + 72 = 5*n. List the prime factors of n. 2, 7 Let c = -63 + 68. What are the prime factors of c? 5 Let u be (-3)/1 + (-11)/(-1). Let a = -3 + u. Suppose 4*b + a*n - 15 = 0, 5*b - 35 + 5 = 5*n. What are the prime factors of b? 5 Let c = 20 - 18. Suppose d - 2*p = 6*d - 152, c*p = -4*d + 120. What are the prime factors of d? 2 Let l(k) = -8*k - 74. What are the prime factors of l(-17)? 2, 31 Let s(i) = -5*i**3 - 4*i**2 - i - 3. What are the prime factors of s(-3)? 3, 11 List the prime factors of ((-2)/(-3))/(6/1557). 173 Let n(f) = f**2 - 4*f - 6. Suppose -9 = -p - 3. Let i be n(p). Suppose -i*a = -2*o - a + 27, -3*o = -3*a - 27. List the prime factors of o. 2, 3 Suppose -5*o + l + 0*l = -143, -4*o - 3*l = -103. Suppose 2*h = v + o, -3*h - 5*v - 56 = -7*h. List the prime factors of h. 2, 7 Let i = 271 - 104. List the prime factors of i. 167 Let r = 0 + 0. Suppose 2*w + 4*z = -7 + 47, 0 = 3*w - 4*z - 40. Suppose r = 3*g - w - 14. What are the prime factors of g? 2, 5 What are the prime factors of (-5 + -4 + -103)/(4/(-14))? 2, 7 Let n(r) = r + 2. Let d(f) = -2*f - 5. Let l(s) = -6*d(s) - 13*n(s). List the prime factors of l(-11). 3, 5 Let n(q) = -q**2 + 2*q. Let g be n(2). Suppose -5*b + 15 = -g*b, 3*v - 3*b - 66 = 0. What are the prime factors of v? 5 List the prime factors of (-4)/((-16)/12) + 59. 2, 31 Suppose 6*d = d. Let o(h) = h + 19. List the prime factors of o(d). 19 Suppose 8*j - 3*j = 665. What are the prime factors of j? 7, 19 Let z(h) = 3*h - 4*h - 2*h - 6 + 5*h. What are the prime factors of z(5)? 2 Let o be 1 + -2 + (1 - 0). Suppose u - 2*h + 7 = 2*u, o = 2*u + 2*h - 22. Let y = u + -9. List the prime factors of y. 2, 3 Let k = -34 - -97. List the prime factors of k. 3, 7 Suppose m = 22 + 20. List the prime factors of m. 2, 3, 7 Let m be (2 - (3 - 1)) + -1. Let q be m/(-2) - (-1)/2. What are the prime factors of (-4*(q + 0))/(-2)? 2 Let u(j) = 2*j - 1. Let a be u(2). Suppose -a*q - 5*x + 114 = 0, 4*x - 38 - 139 = -5*q. Suppose -3*f + 24 = -q. What are the prime factors of f? 19 Suppose -1 = d - 2. Let r = d + -1. Let b(g) = g + 7. What are the prime factors of b(r)? 7 Suppose 0*k + 5*u = -5*k + 180, 0 = 5*k - u - 204. List the prime factors of k. 2, 5 Let t(q) = q**3 - 6*q**2 + q - 3. Let j be t(6). Suppose -2*u - 3*u + j*z = 5, 2*z = 2*u + 2. List the prime factors of -3 - (u - (8 + 0)). 2, 3 Suppose -5*k = -2*k. Suppose 0 = 4*a - 12, -5*j - 6 = -3*j - 4*a. Suppose k = j*h - 8*h + 25. List the prime factors of h. 5 Let s(l) = -l**3 - l**2 - l + 12. Let c = -3 + 5. Suppose 2*w = -c*w. List the prime factors of s(w). 2, 3 Suppose b + 7*n - 2*n - 49 = 0, -299 = -5*b + 2*n. List the prime factors of b. 59 Let a = -20 + -8. Let j be 1/((-26)/a - 1). What are the prime factors of (-1 - -3)*j/(-4)? 7 Let c = 39 + -35. Suppose 4*g - 104 = -0*g. Suppose -c*o + 26 + g = 0. List the prime factors of o. 13 Suppose 4*u - 14 = -u - 2*f, 0 = -u - 2*f + 6. Let o = 69 - 38. Suppose -u*v = -o + 9. What are the prime factors of v? 11 What are the prime factors of (12 - (-1 + -1))/2? 7 Suppose 2*l - 16 = -2*l, 2*h = -2*l + 16. Let v be (-4)/(-6) + 139/3. Suppose -h*j = -v - 29. What are the prime factors of j? 19 Let i(k) be the first derivative of k**4/4 + 4*k**3/3 - k**2 - 6*k - 4. Let q be 1*(-2 - -3)*-4. List the prime factors of i(q). 2 Suppose 4*g - 5*w = 160, 0 = 2*w + 8 - 0. What are the prime factors of g? 5, 7 Suppose 0 = 2*j + 2, -3*j + 7 = 5*m - 0. Suppose -4*c + 2*c = m. Let z = 6 + c. List the prime factors of z. 5 Let v(s) = 2*s - 2. Let m be ((-6)/(-4))/((-3)/(-14)). What are the prime factors of v(m)? 2, 3 Let a = 189 - 88. List the prime factors of a. 101 Let w(p) = -p - 1. Let k = -4 + -3. Let x(q) = 2*q + 2. Let a(j) = k*w(j) - 5*x(j). What are the prime factors of a(-5)? 2, 3 Let v(y) = y. Let j(d) = 3*d - 4. Let z(q) = j(q) + 4*v(q). Suppose 0 = -i + 3*k - 12, -i = -5*i - 2*k + 22. List the prime factors of z(i). 17 What are the prime factors of (-786)/(-7) + 16/(-56)? 2, 7 Suppose 12 = -5*f + 432. Suppose f = 5*p + 3*q, 0 = 3*p + 2*q - q - 52. Suppose 0*l = -3*l + p. List the prime factors of l. 2, 3 Suppose 11*w - 9*w = 6. Suppose -w = -5*b + 7, -2*i + 18 = -b. List the prime factors of i. 2, 5 Let p(q) = q - 4. Let o be p(4). Let k be -1 - -3 - (o + -4). What are the prime factors of (-2)/(-2 + 9/k)? 2 Let s(d) = -d**3 + 4*d**2 + 1. Let r be s(3). Suppose -r = -h - h. Suppose -m - 46 = -5*m + 2*y, -53 = -h*m + y. What are the prime factors of m? 2, 5 Suppose 6*t = 5*t + 26. List the prime factors of t. 2, 13 Suppose 0 = 11*o - 1836 - 771. What are the prime factors of o? 3, 79 Suppose -282 = -8*o + 2*o. List the prime factors of o. 47 Suppose 4*x + 4*q + 31 + 61 = 0, -x + q - 25 = 0. List the prime factors of 16/x + (-29)/(-3). 3 Let x(v) = 5*v**2 + 3*v. What are the prime factors of x(-3)? 2, 3 What are the prime factors of 4/((-64)/268)*-16? 2, 67 Suppose 2*i - w - 357 = 0, 0 = i - 2*i - 3*w + 161. What are the prime factors of i? 2, 11 List the prime factors of 196/7 + -1 + 1. 2, 7 Suppose 5*n = 10 + 20. What are the prime factors of n? 2, 3 Suppose 4*u = -j - u - 5, -16 = -2*j + 3*u. Suppose 3*k - 18 = -y - y, j*y = 5*k - 55. What are the prime factors of k? 2 Suppose 4*y - 8*y + 101 = 3*m, 5*y + 2*m = 135. List the prime factors of y. 29 Suppose -4*v = -x - 62, x - 28 = -2*v - 0*v. Suppose 5*t + 22 = 2. List the prime factors of t/(-10) + 144/v. 2, 5 Let z(i) = -5*i + 13. What are the prime factors of z(-9)? 2, 29 Suppose q = 2*i - 38, 39 - 123 = -4*i - 2*q. What are the prime factors of i? 2, 5 Let i be 6/(-30) - 21/(-5). Let b = i + 7. List the prime factors of b. 11 Suppose -4*c - 12 = -4*r, -3*c = -r - r + 5. Suppose -60 = z - r*z. Suppose -z = -3*a - a. What are the prime factors of a? 5 Let f be (-243)/12 - (-2)/8. Let l = 34 + f. What are the prime factors of l? 2, 7 Let f = 0 + -2. Let o = f - -4. What are the prime factors of 4 + (o + 2)/2? 2, 3 What are the prime factors of 209 - (3 + -7 + 1)? 2, 53 Suppose -2*a - 3*a = 70. Let n = a - -8. List the prime factors of 1 + 3/3 - n. 2 Suppose -17 = -3*p - 2*w, w - 2*w + 13 = 3*p. Suppose p*x + 4 = 16. Suppose -x*z + 33 = -z. What are the prime factors of z? 11 Let a be ((-52)/6)/((-4)/(-12)). What are the prime factors of (a/5 - -2)*-5? 2 Let z = 7 + -5. Suppose 2*w + z*r + 4 = r, 0 = 2*w - r. Let y = 6 + w. List the prime factors of y. 5 Let z be (2/(-10))/(5/(-25)). List the prime factors of (-24)/(-9) - z/(-3). 3 What are the prime factors of (-15 - -11)*(-1)/(-2) - -132? 2, 5, 13 Let x be (-5 + 21)*2/(-4). What are the prime factors of 1*22 - (7 + x)? 23 Suppose 2*w + 0*w - 32 = 0. Suppose w = 4*y - 92. What are the prime factors of y? 3 Suppose 3*g = -0*g. Let z = 1 + 3. Suppose g = 2*w - 0*w - z. List the prime factors of w. 2 Suppose -2*g - 3*g = 5*q - 190, -2*q + 64 = -2*g. Let o = q - 25. List the prime factors of o. 2, 5 Suppose -4*h + 3*h = -66. List the prime factors of h. 2, 3, 11 Let j(s) = -4*s - 1. Let b(i) = 7*i + 1. Let v(w) = 3*b(w) + 5*j(w). List the prime factors of v(5). 3 Let c be (-1)/3*(1 + -1). Suppose c*r - 78 = 3*r. What are t
{ "pile_set_name": "DM Mathematics" }
d derivative of -a**7/70 + 7*a**4/24 + 6*a**2. What is the second derivative of x(l) wrt l? -36*l**2 Let i be 49/(-4) + (-1)/(-4). Let k = -10 - i. What is the derivative of 1 + 2 - 1 - k*f**4 wrt f? -8*f**3 What is the first derivative of -5*h**2 + 0*h**2 - 33 + 47 wrt h? -10*h Let m(v) = 9*v**3 - v**2 + 2. Let d(k) = -k**3 - 1. Let n(p) = 2*d(p) + m(p). What is the third derivative of n(a) wrt a? 42 Let l(i) be the third derivative of -i**7/280 + i**5/40 - i**3/3 - 3*i**2. Let k(j) be the first derivative of l(j). Find the second derivative of k(r) wrt r. -18*r Let q(a) be the second derivative of -71*a**3/6 + 29*a**2/2 + 3*a - 3. What is the first derivative of q(w) wrt w? -71 Suppose -p + c = 2, c - 6*c + 26 = 3*p. Let g(j) be the first derivative of 0*j**p + 1 + 0*j**3 + 1/4*j**4 - j. What is the first derivative of g(f) wrt f? 3*f**2 Let z(h) = -30*h + 25. Let y(k) = -15*k + 12. Let m(j) = -7*y(j) + 3*z(j). What is the derivative of m(u) wrt u? 15 Find the third derivative of -2*h**2 - 22*h**5 + 6*h**5 - 14*h**3 + 9*h + 14*h**3 wrt h. -960*h**2 Let k(d) = -8*d**4 + d**3 + d**2 + d + 4. Let u(j) = j**3 + j**2 + j - 1. Let t(i) = k(i) - u(i). Differentiate t(s) with respect to s. -32*s**3 Suppose -2*z + 4*b + b + 18 = 0, 2*z + 5*b = -2. What is the third derivative of -4*h**2 - 3*h**z + 2*h**2 + 0*h**4 wrt h? -72*h Suppose -s + 2 = -1. What is the derivative of 19*h**3 + 5 - 19*h**s - 4*h**4 wrt h? -16*h**3 Let g(u) be the second derivative of -u**9/1008 - u**5/120 - u**3/3 + 3*u. Let h(s) be the second derivative of g(s). Find the second derivative of h(q) wrt q. -60*q**3 Let n be (-48)/(-21) + 4/(-14). Let z(d) be the first derivative of 1/2*d**2 + 1/5*d**5 + 0*d**4 + 0*d**3 + 0*d + n. Find the second derivative of z(j) wrt j. 12*j**2 Let p(f) = -f**3 + 7*f**2 - 5*f. Let t be p(6). Find the third derivative of -6*q - 8*q**2 + 2*q**5 + 6*q**5 + t*q wrt q. 480*q**2 Let a(t) = t - 7. Let z(f) = -6 - 4 - 10 + 2*f. Let w(g) = -11*a(g) + 4*z(g). Find the first derivative of w(d) wrt d. -3 Let d(t) = -6*t + 32. Let j(c) = 9*c - 48. Let f(v) = 8*d(v) + 5*j(v). Find the first derivative of f(m) wrt m. -3 Find the third derivative of -5*v**6 + 2*v**6 + 7*v**6 + 2*v**2 wrt v. 480*v**3 Let k(f) be the first derivative of -9 + 1/7*f**7 + 0*f**4 + 0*f**2 + 0*f**6 + 0*f + 0*f**5 + 5/3*f**3. What is the third derivative of k(g) wrt g? 120*g**3 Let s = -2 - -1. Let k(o) = -6*o - 1. Let g be k(s). What is the second derivative of -5*v - g*v**4 + 3*v**4 + 2*v wrt v? -24*v**2 Let w(s) be the first derivative of -3*s**4/2 + 3*s**2/2 + 13. Find the second derivative of w(f) wrt f. -36*f What is the third derivative of 0*g**3 + 374*g**2 + 10*g**6 - 365*g**2 + 4 + 0*g**3 wrt g? 1200*g**3 Find the third derivative of -3*n**2 + 17*n**3 - 17*n**4 - 17*n**3 wrt n. -408*n What is the second derivative of 11*h**4 - 3445 + 32*h + 3445 wrt h? 132*h**2 Suppose -3*l = -l - 12. Find the third derivative of 7*o**2 - o**2 + 18*o**6 - 20*o**l wrt o. -240*o**3 Let y(d) = d**4. Let i = -9 - -13. Let k(f) = -4*f**2. Let n(h) = i*y(h) + k(h). What is the third derivative of n(j) wrt j? 96*j Let n = -2 + 6. Let q(b) = -14*b**2 + 32. Let c(d) = 5*d**2 - 11. Let v(t) = n*q(t) + 11*c(t). Differentiate v(x) wrt x. -2*x Let m(r) be the second derivative of -r**7/42 + r**3/6 - 7*r. Find the second derivative of m(x) wrt x. -20*x**3 Let v(j) be the second derivative of -j**3 - 9*j**2/2 - j. What is the first derivative of v(r) wrt r? -6 Let w(n) be the first derivative of 3 + 0*n**3 + 1/12*n**4 + 4*n - n**2. Let c(g) be the first derivative of w(g). Differentiate c(d) wrt d. 2*d Let v(n) = 3*n**3 - 1. Let x(d) = d + 11. Let b be x(-8). Let g(q) = -q**4 + q**3 - 1. Let k(i) = b*g(i) - v(i). Differentiate k(z) with respect to z. -12*z**3 Let i(g) be the third derivative of 0 + 4*g**2 + 0*g + 1/60*g**6 + 0*g**3 + 0*g**5 - 1/8*g**4. What is the second derivative of i(v) wrt v? 12*v Find the third derivative of 5*x**4 + 49*x**2 + x**3 + 2129*x - 2129*x wrt x. 120*x + 6 Let t(g) be the second derivative of -g**6/120 - g**5/60 + g**3/2 - 2*g. Let h(w) be the second derivative of t(w). Find the second derivative of h(b) wrt b. -6 Let q = -73 + 75. Let p(f) be the first derivative of 0*f**q + 2/3*f**3 - 1 + f. Differentiate p(z) with respect to z. 4*z Let a = -8 - -8. What is the derivative of 0*t + a + t + 2 + 0*t wrt t? 1 Let u(c) = -40*c + 2. Let o(w) = 16*w - 1. Let b(m) = -12*o(m) - 5*u(m). What is the first derivative of b(k) wrt k? 8 What is the second derivative of 5*j + 4*j**4 - 7*j**4 + 7*j**4 wrt j? 48*j**2 Let f(y) = -22*y**3 - 11*y**2 + 11*y - 35. Let w(i) = 11*i**3 + 6*i**2 - 6*i + 17. Let g(x) = -6*f(x) - 11*w(x). Differentiate g(o) with respect to o. 33*o**2 Find the first derivative of -18*m**3 - 11*m**3 + 19 + 88*m**3 - 34*m**3 wrt m. 75*m**2 Let d(m) = m + 1. Let p(l) = 8*l + 7. Let r(g) = -d(g) - p(g). What is the first derivative of r(y) wrt y? -9 Suppose 3*a = 15 - 0, 3*a - 13 = s. What is the second derivative of -2*t**4 + 3*t - 3*t**s + 3*t**2 + 2*t wrt t? -24*t**2 Let x(y) = 0 - 6 - 1 - y**2. Let g(o) be the second derivative of -o**4/6 - 13*o**2/2 - o. Let h(r) = -6*g(r) + 11*x(r). Differentiate h(z) wrt z. 2*z Suppose f + 2 = -o, 2*f + 3 - 14 = o. Suppose -3 = -5*q + 12. What is the first derivative of -g**3 - q*g**4 - f + g**3 wrt g? -12*g**3 Let j(u) = 47*u**3 - 5*u - 9. Let m(i) = -70*i**3 + 7*i + 13. Let b(y) = -7*j(y) - 5*m(y). What is the first derivative of b(d) wrt d? 63*d**2 Let d(f) = 3*f + 2. Let i(h) = 3*h + 1. Let o be -1 + -6*2/4. Let w = -7 - o. Let b(c) = w*d(c) + 4*i(c). Find the first derivative of b(v) wrt v. 3 Suppose -h + 4*h - 6 = 0. What is the third derivative of 0*a - 4*a + 4*a + a**h - 2*a**6 wrt a? -240*a**3 Let a(m) be the first derivative of -4*m**5/5 + 3*m**2 - 1. Find the second derivative of a(t) wrt t. -48*t**2 Let m(y) = 64*y - 34. Let o(p) = 13*p - 7. Let f(w) = -3*m(w) + 14*o(w). Find the first derivative of f(q) wrt q. -10 Let x(i) be the first derivative of i**6/60 - i**3/2 + i**2/2 - 3. Let h(d) be the second derivative of x(d). Find the first derivative of h(f) wrt f. 6*f**2 Let o(s) = 2*s + 2*s - s**2 - 5*s - 6. Let z(v) = -3*v**2 - 2*v - 13. Let g(a) = -13*o(a) + 6*z(a). Find the second derivative of g(q) wrt q. -10 Let p(d) = 9*d + 2. Let s(f) = f + 0*f - 3*f + 3*f. Let r(z) = p(z) - 6*s(z). What is the first derivative of r(g) wrt g? 3 Let k(r) = 31*r**3 - 43*r**2 + 5*r. Let g(x) = -16*x**3 + 22*x**2 - 2*x. Let u(n) = -5*g(n) - 2*k(n). Find the third derivative of u(o) wrt o. 108 What is the first derivative of 0*o**4 - 6*o**4 + 4 + 6*o**3 - 6*o**3 wrt o? -24*o**3 Differentiate 14 + 5*k**4 - 519*k**2 + 519*k**2 with respect to k. 20*k**3 Let o(q) = 15*q**6 + 4*q**4 - 4*q**2 - 4*q. Let k(g) = g**6 + g**4 - g. Let c(f) = 4*k(f) - o(f). Find the third derivative of c(l) wrt l. -1320*l**3 Let u(z) = -4*z**3 + 5*z**2 + 6*z. Let x(w) = -5*w + 4*w**3 - 40 - 4*w**2 + 40 - w**3. Let k(f) = -5*u(f) - 6*x(f). Find the third derivative of k(j) wrt j. 12 Let t = -34 - -173/5. Let g(b) be the first derivative of -4 + 0*b**2 + t*b**5 + 0*b**3 - 2*b + 0*b**4. Differentiate g(j) with respect to j. 12*j**3 Let g(k) be the second derivative of k**8/1120 + k**5/30 + 2*k**4/3 - 3*k. Let o(l) be the third derivative of g(l). Find the first derivative of o(y) wrt y. 18*y**2 Suppose 5*h + 5*p + 10 = 0, -20 = 6*p - 2*p. Find the second derivative of -h*m + 6*m + 8*m**2 - 7*m**2 wrt m. 2 What is the third derivative of -30*p**2 + 6*p**5 + 7*p**2 + 2*p**5 + 0*p**5 wrt p? 480*p**2 Let o(y) = -y**3 - y**2 + y - 1. Let k(z) = -z**4 - 40*z**2 + 3*z - 3. Let h(i) = k(i) - 3*o(i). What is the third derivative of h(f) wrt f? -24*f + 18 Let s(p) = -p**3 - 2*p**2 + 2*p + 2. Let o be s(-3). Suppose 2*u = 5*r - u - 10, 0 = o*r - 5*u - 10. Differentiate 5 + r*w - 3*w - 2 with respect to w. -1 Let z(v) = v**3 - 6*v**2 + 5*v + 3. Let m be z(4). Let c be (-2)/(-3 + 9)*m. What is the third derivative of -d**2 + c*d**2 - d**3 + 0*d**3 wrt d? -6 Suppose 4*l - 2*d + d = 16, l - 4 = 2*d. Suppose 1 = l*i - 7. What is the third derivative of 5*h**i - h**2 + 0*h**4 - h**2 - h**4 wrt h? -24*h Let r(h) = -h**2 + 10*h - 4. Let d be r(9). What is the second derivative of -2
{ "pile_set_name": "DM Mathematics" }
= r - -16. What are the prime factors of v? 2, 7 List the prime factors of 222*3/(-15)*(-20)/6. 2, 37 Suppose 2 = -5*z + 6*z. List the prime factors of z. 2 Suppose 2*b = -2*b + 84. List the prime factors of 4/((b/24)/7). 2 Suppose 0 = u + 2*w + w - 142, -5*u - 4*w + 655 = 0. List the prime factors of u. 127 Suppose 3*u = -12, 0*l - 4*u + 220 = 4*l. List the prime factors of l. 59 Let i = 158 + -88. Suppose -n + i = 3*m, 0 = 4*m + m - n - 122. What are the prime factors of m? 2, 3 Let p(q) = q**3 - 4*q**2 + 4*q - 15. List the prime factors of p(8). 3, 7, 13 Suppose 5*d - 192 = 4*z, 0*d - 3*d - z + 105 = 0. List the prime factors of d. 2, 3 Let q(y) be the first derivative of y**3/3 + 2*y**2 + 5*y + 1. Let s(a) = a**2 - 4*a - 4. Let u be s(4). List the prime factors of q(u). 5 Let z(p) = 3*p - 15. Suppose 4*b - 1 - 27 = 0. What are the prime factors of z(b)? 2, 3 Let z = 2 + -3. What are the prime factors of 11 - (2 + 0) - z? 2, 5 Let f(n) = -5 + 2*n - 4 + 7 + 12. List the prime factors of f(8). 2, 13 Suppose -5*j - 4 = -14. Suppose u = j*u - 17. List the prime factors of u. 17 Suppose 0 = -3*z - 5 - 7. Let v = 6 + z. List the prime factors of v. 2 Let c = 42 - 2. What are the prime factors of c? 2, 5 Let u be 5 - 3/(0 - 3). Suppose -u = -t + 5. What are the prime factors of t? 11 Suppose 20 = b + b. Suppose j - 2*i + 3*i - b = 0, -5*i = 2*j - 11. List the prime factors of j. 13 Let w be 21/6 - (-1)/(-2). Suppose -2*q + 21 = -3*x, -3*q = 2*q + w*x - 63. Let n = -2 + q. List the prime factors of n. 2, 5 Let a = 5 + 11. Suppose -i - a = -2*t, -t + 3*i = -5*t + 12. List the prime factors of t. 2, 3 Let c = -6 - -15. Let h be 45/27 + 1/3*1. Suppose 0 = h*z - 3*z + c. What are the prime factors of z? 3 Let f = 243 - 130. List the prime factors of f. 113 Let d = 85 + -50. List the prime factors of d. 5, 7 Let y(x) = 2*x**2 + 16*x + 13. Let v(o) = o**2 + 8*o + 7. Let z(g) = 7*v(g) - 4*y(g). What are the prime factors of z(-5)? 2, 3 Let g = 20 + -2. Suppose -g = 3*k - 0*t + 2*t, 5*k + 35 = -5*t. List the prime factors of (4/(-3))/(k/18). 2, 3 Let q = 109 + -90. What are the prime factors of q? 19 Let t = -9 - -45. What are the prime factors of 3 - (1 + -4 - t)? 2, 3, 7 Suppose 4*g = 5 + 3. Suppose g*s - 10 = 14. What are the prime factors of s? 2, 3 Let a = 138 - 45. List the prime factors of a. 3, 31 Let k = -161 - -241. Suppose k = m + 4*m. List the prime factors of m. 2 Let n = 26 - 28. List the prime factors of (n/(-3))/(-2)*-159. 53 Let p = 77 + -26. List the prime factors of p. 3, 17 Suppose 3*w = 4*h + 73, -6*w + 9 = -3*w. Let n = 11 + h. List the prime factors of 16*((-45)/12)/n. 2, 3 Let i be 0*-1*1/(-2). Suppose -5*v + 15 = t, -29 = -2*v - 5*t - 0. Suppose -v*p + i*p + 22 = 0. What are the prime factors of p? 11 Let s(b) = b**2 - b + 2. Let u = -9 - -14. What are the prime factors of s(u)? 2, 11 Suppose -5*g - 5*y = -880, 0*g + 4*y + 528 = 3*g. List the prime factors of g. 2, 11 Let a be 4*(3 + -2)*1. Suppose 5 = i - a. List the prime factors of i. 3 Suppose -b + 247 = 2*r, 4*r - 2*b - 231 - 251 = 0. What are the prime factors of r? 2, 61 Let b = -70 + 102. Suppose 6 = -5*r + 4*o + b, -4*o - 10 = 3*r. Suppose 2*k - 6 + r = 0. List the prime factors of k. 2 Let f(i) be the second derivative of i**5/20 + 5*i**4/12 + i**3/2 - 3*i**2/2 - i. Let s be f(-3). Suppose s - 13 = -v. List the prime factors of v. 7 Let b = 2 + 277. List the prime factors of b. 3, 31 Let u = 32 + -5. What are the prime factors of u? 3 Suppose 0 = 2*c + 9 + 1, -26 = -4*j - 2*c. Suppose -7 - j = t. Let m = t + 27. What are the prime factors of m? 11 Suppose 3*f - 137 - 624 = 2*o, 0 = 2*o + 2. List the prime factors of f. 11, 23 Suppose -4*l = -3*l - 10. List the prime factors of l. 2, 5 Let n(i) = -71*i + 3. List the prime factors of n(-2). 5, 29 Suppose -10*x + 6*x = -48. Let r = 26 - x. List the prime factors of r. 2, 7 Suppose 3*a - 4*a = -2. Suppose -a*y + 2 = -y. What are the prime factors of 1 - (y - 2) - -4? 5 Let y be (-13)/1 + 2/2. Let l = y + 31. What are the prime factors of l? 19 Let s(p) = -p**3 - p**2 + p + 5. Let z be s(0). Suppose 25 = z*m, -4*n + 41 = -2*m + 7*m. List the prime factors of n. 2 Let p = 49 + 87. What are the prime factors of p? 2, 17 Suppose 2 = u - 28. List the prime factors of u. 2, 3, 5 Let x = -28 + 33. List the prime factors of x. 5 Suppose -33 = -3*p + 2*p. Suppose 4*a - 3*d - 69 = 0, 2*a - d = 2*d + p. List the prime factors of (a/4)/(3/4). 2, 3 Let f = -1 + 3. Let w(x) = -x + 3*x - 2 + 6*x. What are the prime factors of w(f)? 2, 7 Let x be (2/(-4))/(1/(-4)). Suppose x*q - 32 = q. Let p = q - 23. List the prime factors of p. 3 Let q(g) = g**2 - 3*g - 10. Let c be q(5). Suppose c = 5*y - y - 16. List the prime factors of y. 2 Let m be ((-6)/(-4))/((-3)/(-16)). Suppose -3*j + 4*j - 12 = 0. Suppose -2*y - m = -4*l, l = -5*y + 12 + j. What are the prime factors of y? 2 Let n = -1 - -8. Suppose -3*d = -n*d + 32. List the prime factors of d. 2 Let u be -2 - 0/(0 - -3). List the prime factors of 3 - (-1 - 2/u). 3 Let o be 13 + -2*1/2. List the prime factors of o/(-54) - 76/(-18). 2 Let m = -5 - -3. Let z = m - -5. Suppose 0 = -d + 1, 7*d + z = k + 2*d. What are the prime factors of k? 2 Let g(x) = 4*x + 1. Let b be (3 - 5) + 3/1. Let v = b - -3. What are the prime factors of g(v)? 17 Suppose -20 = -4*j - 0*j. Suppose -4*h = -2*q - 32, -3*h + 0*q - j*q + 11 = 0. What are the prime factors of h? 7 Let l = -7 - -7. Suppose -9 = 3*c - 0*c, 4*h + 3*c - 47 = l. Suppose 4*d = 3*n - 29, -2*n + d = -3*d - h. What are the prime factors of n? 3, 5 Let b(o) = 2*o + 22. What are the prime factors of b(9)? 2, 5 Let u(w) = 0*w + 0*w - 2*w + w**2 - 6 - 6. List the prime factors of u(6). 2, 3 Suppose -c + 579 = 2*t, 591 = 2*t + 3*c + 2*c. Let f be 3/6*t/4. Suppose 0 = -o + 6*u - 4*u - 4, -4*o - 5*u + f = 0. What are the prime factors of o? 2 Let i(x) = x**2 - 6*x - 2. Let l be i(7). Suppose -4*w - 17 = -l*w. List the prime factors of w. 17 Suppose -g = 2*d - 63, -3*d + 177 = 2*d - 4*g. What are the prime factors of d? 3, 11 Let q be (51 + 0)*(-1)/(-3). Let n(z) = -z**2 - 6*z + 4. Let c be n(-5). Let t = q - c. List the prime factors of t. 2 Suppose -3*t + 0 + 21 = 0. Let n(i) = -i**3 + 8*i**2 - 3*i + 3. What are the prime factors of n(t)? 31 Suppose 11 = 5*r + 4*c, -16 = -0*r - 4*r + 4*c. Suppose -2*o = r*o - 100. List the prime factors of o. 2, 5 Let w(l) = -10*l + 12*l - 2*l**2 - 2*l**3 + l**3. Let n be w(-3). Suppose -4*t + 14 = b - 5, 37 = n*b + 2*t. What are the prime factors of b? 11 Let z(y) be the second derivative of -y**4/12 + 11*y**3/6 - 9*y**2/2 - 2*y. List the prime factors of z(7). 19 Suppose -1 = x, 3*x = -4*t + t - 27. Let u = t - -11. Suppose -17 + u = -l. List the prime factors of l. 2, 7 Let u(m) be the third derivative of m**4/8 - 7*m**3/6 - m**2. List the prime factors of u(7). 2, 7 Let w(f) = -f**3 + 6*f**2 - 8*f + 3. Let p be w(5). What are the prime factors of (p - 0)*(-2)/4? 2, 3 List the prime factors of (-1385)/(-15) - (-2)/(-6). 2, 23 Let q(i) = -i**3 - 3*i**2 + 2*i + 4. Let p be q(-3). Let c(g) = -2*g**3 + g**2 - 2. Let u be c(-2). Let t = p + u. List the prime factors of t. 2 Let r = 50 - 0. Suppose -70 = -5*y - 4*v - v, 3*y = -v + r. List the prime factors of y. 2, 3 Let l(z) = 93*z. What are the prime factors of l(1)? 3, 31 Let q(p) = -2*p. Let u be q(-2). Suppose 4*b = 4*m + 28, 5*b + 42 - 14 = -u*m. Let x = 10 + m. What are the prime factors of x? 3 Let s = 3 + -5. List the prime factors of (1*s)/((-12)/114). 19 Let o be 1/2 - 2/4. Let l be -4 + 3 - (9 - o). Let s = 2 - l. List the prime factors of s. 2, 3 Let p(i) = i**3 - 3*i**2 - 8*i + 5. Let l be p(5). Suppose z - 3 = 3*k, 1 = 2*z - 4*k - l. Suppose 0*m = -2*m + z. What are the prime factors of m? 3 Suppose 40 - 4 = 4*s. Let d(a) = -a**3 + 6*a**2 + 6*a + 5. Let q be d(7). Let x = s - q. What are the prime factors of x? 11 Let m(c) = c**2 - c - 34. Let h be m(0). What are the prime factors of h/12*-3*2? 17 Let l be (-2 + (-7)/(-2))*8. Suppose 2*y - 16 = 4*x, -y = 2*x + 4 - l. List the prime factors of y. 2 Suppose 0 = 4*l + 5*c - 26, -l - 2*c = 3*c + 1. What are the prime factors of l? 3 Let j(n) = 99*n - 3. List the prime factors of j(1). 2, 3 Let x(i) = 5*i**2 + 7*
{ "pile_set_name": "DM Mathematics" }
21 + 28/(-98)? 2, 3, 5 Let p(i) = i**2 + i. Let z(s) = -s**3 + 3*s**2 + 4*s + 5. Let t be z(4). List the prime factors of p(t). 2, 3, 5 Let b = 449 + 409. List the prime factors of b. 2, 3, 11, 13 Let a = 16 - 56. Let x = 1 - a. What are the prime factors of x? 41 Suppose 27*x = 4*d + 25*x - 11132, -5*d + 13915 = -5*x. List the prime factors of d. 11, 23 Let w(z) = z**3 - 5*z**2 + 5*z - 15. Let l = -14 - -3. Let u = l - -17. What are the prime factors of w(u)? 3, 17 Let w = 54 - 57. List the prime factors of -3*(-2)/3 + (-3)/w. 3 Let g = -8 - -14. Suppose 0*v + 872 = 5*v + 3*o, 2*v = -4*o + 346. Suppose -g*h + v = -h. What are the prime factors of h? 5, 7 Suppose -l = 2*l + 15. Let g(s) = -s**3 - 5*s**2 + 2*s. Let c be g(l). Let v = 61 + c. List the prime factors of v. 3, 17 What are the prime factors of (-13)/((-273)/(-28))*-837? 2, 3, 31 Let j be (-36)/2 - 5/(-5) - -1. Let q(g) = -3*g**2 + g + 4. Let w be q(3). Let v = j - w. List the prime factors of v. 2 Let o(b) = 2*b**3 - 6*b**2 + 3*b - 2. Suppose 4*x - 19 = -3. What are the prime factors of o(x)? 2, 3, 7 Suppose 2*o - 5*w - 1073 = -300, -4*o + 5*w + 1521 = 0. What are the prime factors of o? 2, 11, 17 Let q(r) = 0*r + 3*r + 52 - 49 + 2*r**2. List the prime factors of q(3). 2, 3, 5 Suppose 0 = 697*u - 690*u - 2100. List the prime factors of u. 2, 3, 5 List the prime factors of 280 - (6 + -2 + 2 + -6). 2, 5, 7 Suppose 0 = -0*w - 2*w - h + 222, -4*w - 4*h + 448 = 0. List the prime factors of w. 2, 5, 11 Let w be (-6)/4 + (-2814)/(-28). Let o = -43 + w. Suppose 2*q + o = 3*r, -4*q - 22 = -r - 0*q. What are the prime factors of r? 2, 3 Let o be 39 + (-1)/((-2)/4). Suppose 5*s + o - 176 = 0. What are the prime factors of (3/(-2))/(s/(-90))? 5 Suppose -4*v = 8, -6*v + 4*v = 3*x - 5564. List the prime factors of x. 2, 29 Let h(f) = 3*f - 6. Let a be h(2). Suppose -4*k = 5*q - 160, 3*q - 5*k - 3 - 130 = a. What are the prime factors of q? 2, 3 Let f be (-4)/(8/(-6)) + -14. Let z(i) = i**2 + 3*i - 20. What are the prime factors of z(f)? 2, 17 Let o(q) = q**2 + 4. Let c be -5*1/(-1) - -1. Suppose 3*l - c*l = -12. List the prime factors of o(l). 2, 5 Let a(w) = w**2 - 13*w + 8. Let z be a(13). Suppose 32 - z = 4*g. Let d(k) = k**2 - 4*k + 16. What are the prime factors of d(g)? 2, 7 Suppose -19*d + 20*d - 4*g - 784 = 0, 5*g - 3094 = -4*d. What are the prime factors of d? 2, 97 Let h(i) = 19*i**2 + 3*i - 10. Let a(x) = -13*x**2 - 2*x + 7. Let l(q) = 7*a(q) + 5*h(q). Let k be l(1). What are the prime factors of 26*1 - (6 - k)? 2, 3 Let j = 17 + -11. Suppose -9*v = -j*v + 6. List the prime factors of -5 + 47 + 0 + v. 2, 5 Suppose -3*k + 12 = -k - 3*d, 4*d = 5*k - 16. Suppose k = -5*n - 3*c + 91, -4*c + 72 = 4*n - 2*c. List the prime factors of n. 17 Let a = 10 - 8. Suppose 14 - a = b. Suppose 13 = 5*l - b. List the prime factors of l. 5 Suppose 4*h = h + 27. Let z be (6/(-4))/(h/(-156)). What are the prime factors of z/2 + (-5 - -5)? 13 Let d(k) = 11*k - 1. Let f be d(1). Suppose -x + 2*y = -f, 2 = x - 2*x - y. Suppose -3*n + 0*j + 4*j = -23, 0 = j + x. List the prime factors of n. 5 Let o = -1184 - -1664. List the prime factors of o. 2, 3, 5 Let r = 151 + -198. Let s = 88 + r. List the prime factors of s. 41 Let a = 687 + 512. What are the prime factors of a? 11, 109 Suppose 2*o + 15 = 5*o. Suppose 21*a - o*a = 1344. What are the prime factors of a? 2, 3, 7 Let h = -1099 + 1135. Suppose 6*u - 3*u - 36 = 0. Let p = h - u. What are the prime factors of p? 2, 3 Let v(w) = -47*w + 191. What are the prime factors of v(-19)? 2, 271 Let u = 3026 - 1078. What are the prime factors of u? 2, 487 Let f(d) = -54*d - 18. Let a be f(-10). Suppose -3*h = 3*h - a. What are the prime factors of h? 3, 29 Suppose -1910 = -36*s + 3814. What are the prime factors of s? 3, 53 Suppose -2*w + 101 = 17. Let j be -10*(-4 - -1)*-1. Let l = w + j. List the prime factors of l. 2, 3 Suppose a - 3*q = 2*a - 10, -5*q + 10 = 0. Let z(l) = 3*l**2 - 2*l + 4. What are the prime factors of z(a)? 2, 11 Suppose -3*l - 114 = -4*m, 3*m + 0*m = -2*l + 94. Suppose -8 = -c + m. Suppose 0 = -32*a + 33*a - c. List the prime factors of a. 2, 19 Let n be (-6)/8 - (26492/(-16) - -4). Suppose n = 16*k - 1293. What are the prime factors of k? 2, 23 Let m(j) be the third derivative of j**5/60 - 4*j**3 - 9*j**2. What are the prime factors of m(10)? 2, 19 List the prime factors of 11*((-60)/(-66))/5 - -553. 3, 5, 37 Let p(x) = -2*x**3 - 13*x**2 - 13*x - 1. What are the prime factors of p(-10)? 829 Let z(a) = 375*a + 92. What are the prime factors of z(5)? 7, 281 Let v(z) = 5*z**2 + 7*z - 23. What are the prime factors of v(-8)? 241 Let t(h) = h + 44. Suppose -3*k = 4*y - 105 + 25, 0 = 5*y + 3*k - 100. What are the prime factors of t(y)? 2 Suppose -17*g = 2073 - 33829. List the prime factors of g. 2, 467 Let u(h) = 121*h + 553. List the prime factors of u(24). 3457 Let h(w) = -w**2 - 8*w + 7. Let v be h(-9). Let b be v/4 + 2185/10. Suppose -5*m + b = 63. What are the prime factors of m? 31 Let o = -43 + 50. Suppose -2*m - w + o = m, -3*w + 3 = 0. List the prime factors of m. 2 Suppose 0 = o - 1500 + 379. Suppose 5*l + 440 = 2*t, -4*t + 2*l + o = t. Suppose 7*s = 2*s + t. What are the prime factors of s? 3, 5 Let u(o) = -10*o + 2. Let k(j) = -3*j + 1. Let i(x) = 11*k(x) - 4*u(x). Let d = 220 + -217. List the prime factors of i(d). 2, 3 Suppose -4*b + 12 = 0, 4*o + 27 = -4*b + 139. What are the prime factors of o? 5 Suppose 0 = -39*m + 35*m + 272. Suppose -67*a - 195 = -m*a. List the prime factors of a. 3, 5, 13 Let s(k) = -k**2 + 23*k + 23. Let i(z) = -2*z + 11. Let x be i(-3). List the prime factors of s(x). 5 Let a be 0 - (-4)/26 - 9269/(-169). Let s = 70 - a. What are the prime factors of s? 3, 5 Let o(t) = -t**3 + 6*t**2 + 7*t + 10. Let r be (18/(-30))/((-2)/30). Suppose -19 = -4*j + r. List the prime factors of o(j). 2, 5 Suppose 3*c + 5*y = 4, y + 2*y + 15 = 4*c. Suppose l - 79 = -c*l - b, -l + 4*b = -24. What are the prime factors of l? 2, 5 Suppose -a - f = a + 163, -5*f = -5. Let r = 195 + a. List the prime factors of r. 113 List the prime factors of 15504/21 + (-32)/112. 2, 3, 41 Suppose -31*z - 4*h - 3988 = -33*z, 0 = 4*z - 2*h - 7952. List the prime factors of z. 2, 3, 331 Let n = 74 + -50. Let k = -1 + n. What are the prime factors of k? 23 Let c be (183/(-9))/((-1)/(-6)). Let o = c - -55. Let i = -32 - o. List the prime factors of i. 5, 7 Suppose h = -22 - 1. Let g = 19 + h. What are the prime factors of (-6)/g*(-92)/(-6)? 23 Let t = 50 + -48. Suppose -2*j = -6, -t*c + c - 4*j + 215 = 0. List the prime factors of c. 7, 29 Let o = -305 + 519. List the prime factors of o. 2, 107 Let h = -4 - -20. Suppose h - 108 = -4*c. Let b = c - 2. What are the prime factors of b? 3, 7 Let q = -63 + 229. Suppose -q = -5*y - 3*i, -4*y + 9*y - 160 = -5*i. What are the prime factors of y? 5, 7 Let l = -388 + 753. List the prime factors of l. 5, 73 Suppose 6*y - 2*y = 232. Let k = 103 - y. What are the prime factors of k? 3, 5 Suppose -38*c = -2084 - 1450. List the prime factors of c. 3, 31 Let x be (2 + -4)/(4/18). Let g(b) = -3*b + 26. List the prime factors of g(x). 53 Let h(m) = 60*m + 62. List the prime factors of h(7). 2, 241 Suppose -25*q + 11*q = -17080. List the prime factors of q. 2, 5, 61 Let i(j) = j. Let g be i(-2). Let q be (4/(-1))/(0 + g). Suppose -57 = -q*k + 23. What are the prime factors of k? 2, 5 List the prime factors of (-1 + 490)/(75/75). 3, 163 Let v(i) = i**2 - 2*i - 5. Suppose 42 = 16*z - 18*z. Let d = 16 + z. What are the prime factors of v(d)? 2, 3, 5 Let w = -78 - -1043. Suppose 3*q + 11*b = 15*b + w, 4*q + 2*b = 1272. List the prime factors of q. 11, 29 Let z(l) = 22*l**3 - 2*l**2 - 4*l - 31. List the prime factors of z(5). 3, 883 Suppose 3*z - 16 + 4 = 0. Suppose 0 = -5*m + z*r - 10 - 2, 4*m + 18 = -r. Let p(a) = a**3 + 6*a**2 + 3*a + 5. List the prime factors of p(m). 5 Suppose -j - 2*j = -4*g - 15, -5*j = 2*g - 25. Suppose -4*o + d + 332 = g, 172 = o + o + d. What are the prime factors of o? 2, 3, 7 Let t = 47 - 39. Suppose -9*o + 12 = -t*o. What are the prime factors of o? 2, 3 Suppose -3*p - p - 66 = -5*l, -5*l + 75 = 5*p. List the prime factors of 889/l - 3/2. 2, 31 Suppose -682 = -3*a + 4553. What are the prime factors
{ "pile_set_name": "DM Mathematics" }
derivative of -n**4/12 - n**3 + 5*n**2/2 - n. Calculate c*p(j) - 5*i(j). j**2 + 2*j - 1 Let v(l) = l - 2. Let f be v(-2). Let x(c) = -1 + 2*c + 0 - 5 + 1. Let s(y) be the third derivative of -5*y**4/24 + 7*y**3/3 - y**2. What is f*s(r) - 11*x(r)? -2*r - 1 Let k(i) = -3 - 3 + 2*i**3 + 2. Suppose 12 = -4*f + 4*j, -f - 4 = -3*j - 1. Let z(n) = -n**3 + 3. Calculate f*k(o) - 4*z(o). -2*o**3 Let p(g) = g**3 - g**2 + g - 1. Let k(c) = 9*c**3 - 8*c**2 + 7*c + 3. Let r(x) = x**3 - x**2 + x + 1. Let h(n) = k(n) - 5*r(n). What is -h(u) + 2*p(u)? -2*u**3 + u**2 Let v(m) = m**2 - m - 1. Suppose 12 = 3*z + z. Let n(q) be the first derivative of -q**4/2 - 2*q**3/3 + 3*q**2/2 + 3*q + 29. Determine z*v(p) + n(p). -2*p**3 + p**2 Let c(v) = -7*v + 20. Let u(n) = -11*n + 30. Calculate 8*c(b) - 5*u(b). -b + 10 Let k(s) = s**2 + 2*s - 1. Suppose 4*c - 24 = -2*x, -6*x = -x + 3*c - 25. Let z = -3 + -2. Let a(o) = 3*o**2 + 5*o - 3. Calculate x*a(h) + z*k(h). h**2 - 1 Let w(r) = -4*r**3 - 7*r**2 - 7*r - 9. Let g be 2/(4/(-18)) + (45 - 43). Let s(h) = 3*h**3 + 5*h**2 + 5*h + 6. Determine g*s(a) - 5*w(a). -a**3 + 3 Let a(h) = 4*h**3 - 9*h**2 + 7*h. Let j(b) = 6*b**3 - 13*b**2 + 10*b. Let o = 6 - 13. Calculate o*a(z) + 5*j(z). 2*z**3 - 2*z**2 + z Let s(l) = 1. Let v(w) = 7*w - 4. What is 4*s(x) + v(x)? 7*x Let q(d) = -d**2 - d + 15. Let z(t) = -7 + 5 + 4. Calculate 2*q(g) - 14*z(g). -2*g**2 - 2*g + 2 Let n(m) = 7*m**2 - 6*m. Let x(h) be the third derivative of h**5/10 - 5*h**4/24 + 2*h**2. Give -5*n(p) + 6*x(p). p**2 Let c(u) = -u. Let v(f) = -6*f + 1. Calculate -4*c(p) - v(p). 10*p - 1 Let t(a) = -3*a**3 - 5*a**2 + 3. Let j(d) = -4*d**3 - 6*d**2 + 3. Give -5*j(f) + 6*t(f). 2*f**3 + 3 Let o(a) = -a + 12. Let r be o(9). Let h(w) = -w**2 + 5*w + 3. Let j(t) = -t**2 + 4*t + 2. Determine r*h(m) - 4*j(m). m**2 - m + 1 Let q(s) = 2*s + 2*s + 0 + 7. Let h(w) = 3*w + 6. Let p = -5 - -10. Give p*h(l) - 4*q(l). -l + 2 Let u(q) = 17*q + 3. Let r(h) = -52*h - 10. Determine 6*r(n) + 20*u(n). 28*n Let a(l) = 12*l**3 + 4*l**2 - 4*l - 4. Let t(k) = -k**3 - k**2 + k + 1. Determine -5*a(c) - 20*t(c). -40*c**3 Let b(j) = 5*j - 13. Let v(x) = -6*x + 8. Let k(o) = -14*o + 17. Let n(s) = 2*k(s) - 5*v(s). What is 6*b(t) - 13*n(t)? 4*t Let q(y) = y**3 + 7*y**2 - 7*y - 7. Let n(d) = -d**3 - 6*d**2 + 6*d + 6. Let k be 25/4 + 2/(-8). Let w be (-122)/(-18) + (-2)/(-9). Determine k*q(i) + w*n(i). -i**3 Let j(t) = 2*t. Let o(x) = 1. Suppose -4*r - 7 = 5. Determine r*o(z) + j(z). 2*z - 3 Let d(l) = 9*l + 7. Let q(x) = -x - 7 + 10 + 6*x + 1. Let v = 4 - 11. Let h = -4 - v. Give h*d(r) - 5*q(r). 2*r + 1 Suppose 0*d + 2 = d. Let v(q) = -q - 62 + 62 - q**d. Let i(t) = -7*t**2 - 8*t. Calculate -i(p) + 6*v(p). p**2 + 2*p Let g(z) = 4*z**3 + z**2 + 6*z - 5. Let v(o) = 2*o**3 + o**2 + 3*o - 3. What is 3*g(l) - 5*v(l)? 2*l**3 - 2*l**2 + 3*l Let o(p) = -7*p**3 - 14*p**2 + 5*p + 1. Let s(b) = -2*b**3 - 5*b**2 + 2*b. Let i(j) = 4*o(j) - 11*s(j). Let g(a) = a**3 - 1. Give -4*g(h) - i(h). 2*h**3 + h**2 + 2*h Let t(f) = 4*f**2 + 5*f - 4. Let l(p) = -11*p**2 - 14*p + 11. Let z be (3/3)/((-1)/(-3)). What is z*l(m) + 8*t(m)? -m**2 - 2*m + 1 Suppose -3*i = l + 3*l + 1, -5 = 3*i + 5*l. Let p = i - 0. Let c(o) = -o + 4. Let n(h) = 1. Determine p*n(b) - c(b). b + 1 Let i(j) = -j**2 + 1. Let x(q) = -3*q**2 - 9*q - 4. Let f(v) = 4*i(v) + x(v). Let l(b) = 4*b + 4*b**2 - 14 + b + 14. Determine 6*f(n) + 11*l(n). 2*n**2 + n Let o(l) = l**3 - l**2 - l + 1. Let t(p) be the third derivative of -p**6/24 + p**5/12 + p**4/6 - 2*p**3/3 - 32*p**2. Determine -4*o(y) - t(y). y**3 - y**2 Let r(c) = -15*c - 6. Let q(d) = -3*d - 1. What is -21*q(z) + 4*r(z)? 3*z - 3 Let o(r) be the first derivative of -r**2 - 4*r - 5. Let h(w) = 2*w + 5. Let m(u) = -3*h(u) - 4*o(u). Let f(q) = -6*q - 2. Determine 3*f(d) + 8*m(d). -2*d + 2 Let x be (6/24)/((-2)/(-8)). Let o(b) = -b**2 + 1. Let g(k) = -5*k**2 - 2*k + 6. Determine x*g(r) - 6*o(r). r**2 - 2*r Let z(b) = 2*b**3 + 5*b**2 - 5*b - 4. Let p(m) = -3*m + 0 - 3 + 3*m**2 + 1 + m**3. Let c = 42 + -39. Give c*z(s) - 5*p(s). s**3 - 2 Let s(y) be the third derivative of 7*y**4/24 + 2*y**3/3 - y**2. Let x(v) = 2*v + 1. What is -6*s(g) + 22*x(g)? 2*g - 2 Let y(v) = 6*v**2 - 17*v - 14. Let t = -1 + 2. Let i(f) = 6 - 2*f**2 - t + f + 5*f + 0*f**2. What is 17*i(g) + 6*y(g)? 2*g**2 + 1 Suppose 0 = f - 5 - 0. Let k(n) = 2*n - 5. Let w(u) = -2*u + 6. Calculate f*k(m) + 4*w(m). 2*m - 1 Let n(h) = -h**3 - 3*h + 3. Suppose -x = -4 + 1. Let o be (15/(-3) + 3)*1. Let l(z) = -z**3 - 2*z + 2. Give o*n(g) + x*l(g). -g**3 Let u(r) = -r**3 - 3*r**2 - 7*r - 4. Let y(l) = 2*l**2 + 6*l + 3. Calculate 2*u(g) + 3*y(g). -2*g**3 + 4*g + 1 Let z = -3 - -5. Suppose -z + 0 = 2*v. Let o(l) be the third derivative of l**4/8 + l**3/2 - 5*l**2. Let b(u) = u + 1. What is v*o(f) + 5*b(f)? 2*f + 2 Let m(k) = -2*k - 2. Let n(a) be the first derivative of a**4/4 - a**3/3 - 3*a**2/2 - 3*a - 23. Give 3*m(v) - 2*n(v). -2*v**3 + 2*v**2 Let l(y) = 2*y**2 + 25*y - 8. Let r(j) = -j**2 - 17*j + 5. Calculate -5*l(k) - 8*r(k). -2*k**2 + 11*k Let w(m) = 2*m**3 + 4*m**2 + 13*m - 5. Let i(h) be the first derivative of h**4/4 + 2*h**3/3 + 7*h**2/2 - 3*h + 16. Determine -5*i(v) + 3*w(v). v**3 + 2*v**2 + 4*v Let f(j) = 5*j - 5. Let g(y) = -14*y + 14. Determine 8*f(u) + 3*g(u). -2*u + 2 Let n(u) = u**2 + 4*u + 2. Suppose -18 = 3*p - 0*j + 4*j, 4*p - 4 = 4*j. Let x be (-1 + 2)/(2/(-18)). Let q(a) = -4*a**2 - 17*a - 9. Give p*q(w) + x*n(w). -w**2 - 2*w Let t(w) = 2*w + 1. Let d(h) = h**3 + 3*h + 2. What is 2*d(m) - 5*t(m)? 2*m**3 - 4*m - 1 Let q(n) = n**3 + 9*n**2 + 7*n + 19. Let h be q(-8). Let o(a) = -5*a + 2. Let g(p) = 7 - 6 + 66*p - 9 - 19. Calculate h*o(v) + 2*g(v). -3*v Let y(p) = -2*p**3 + p**2 + 5*p. Suppose 6*u - 2*u = -16. Let x = u - 2. Let n(r) = -2*r**3 + r**2 + 0*r**3 + 6*r + 0*r**2. Calculate x*y(k) + 5*n(k). 2*k**3 - k**2 Let k(v) = 2*v**3 + 2*v**2 - 5*v - 71. Let y(w) = w**3 + w**2 - 3*w - 35. Determine 3*k(f) - 5*y(f). f**3 + f**2 - 38 Let f(m) = -6*m + 10. Let z(v) = -8*v + 0*v + 9*v + v - 3. Give -2*f(x) - 7*z(x). -2*x + 1 Let q(u) = 3*u**2 + 3*u. Let n = -315 + 319. Let v(h) = h**3 + 3*h**2 - 1. Let z be v(-3). Let k(m) = m**2 + m. Calculate n*k(w) + z*q(w). w**2 + w Let w be (28/(-8) + 3)*0. Suppose -2*x + w*x + 9 = -5*j, -9 = -4*x + j. Let n(o) = o**3 + 2*o**2 - 2. Let d(t) = -t**3 - 3*t**2 + 3. What is x*d(c) + 3*n(c)? c**3 Let v(w) = 11*w**3 - 5*w**2 - w - 5. Let q(b) = b**2 + 17*b + 35. Let o be q(-15). Let f(y) = 17*y**3 - 8*y**2 - 2*y - 8. What is o*f(s) - 8*v(s)? -3*s**3 - 2*s Let l(v) = v**2 - v. Let b(w) = -w**3 + 4*w**2 + 10*w. Calculate b(p) - 4*l(p). -p**3 + 14*p Let f(a) = -7*a**2 + 2*a + 5. Let j(v) = 73*v + 6. Let y be j(-9). Let m be y/49 - 2/(-7). Let l(u) = 15*u**2 - 4*u - 11. What is m*f(q) - 6*l(q)? q**2 - 2*q + 1 Let z(k) = -k**2 - 1. Let i(t) = -9*t**2 - 2*t - 7. Calculate -i(l) + 6*z(l). 3*l**2 + 2*l + 1 Let p(f) = -324*f**2 - 51. Let i(x) = 13*x**2 + 2. What is -153*i(u) - 6*p(u)? -45*u**2 Let z(h) = -2*h + 5. Let k(g) = 3*g - 6. Calculate -4*k(u) - 5*z(u). -2*u - 1 Let h(l) = 8*l**3 - 6*l + 5. Let x(m) = -11 + 2 - 5 + 17*m - 23*m**3. Give -17*h(c) - 6*x(c). 2*c**3 - 1 Let j be (-2 - -1 - 2) + 2. Let i(d) = -2*d**2 - 6*d - 5. Let a(s) = s. Let h(w) = -2*w + 1. Let k(g) = 3*a(g) + h(g). Calculate j*i(c) - 5*k(c). 2*c**2 + c Let m(a) = a**2 - 4*a - 1. Let z(q) = -5*q**2 + 21*q + 6. Calculate -11*m(s) - 2*z(s). -s**2 + 2*s - 1 Suppose 4*x - 14 = 2*l, 0*l = x - 3*l - 11. Let b(f) = 2 - x + 21*f. Let z = 11 - 9. Let r(o) = -4*o. Determine z*b(p) + 11*r(p). -2*p Suppose m - 14 = 5*z, 0 = 3*m - 0 + 3. Let j(c) = c**3 + 1. Let d(u) = 4*u**3 + u**2 + 3*u + 3. Determine z*j(y) + d(y). y**3 + y**2 + 3*y Let s(y) = y**3 - y**2 - y - 1. Let p be (-18)/12*(-4)/3. Let h(d) = -2*d**3 + 0 + 5*d + 5*d**p - d**3 + 5. Give h(m) + 5*s(m). 2*m**3 Let u(m) be the third derivative of -m**6/120 - m**5/60 + m**4/24 + m**3/6 + 18*m**2. Let q(w) = 5*w**3 + 4*w**2 - 3*w - 5. Give q(a) + 3*u(a). 2*a**3 + a**2 - 2 Let q(v) = -v. Let p(l) be the first derivative of 5*l**3/3 - 3*l**2/2 + 16. Calculate p(i) - 3*q(i). 5*i**2 Let l(i) = i + 1. Let o(x) = 300 - 300 - 4*x. Calculate 2*l(t) + o(t). -2*t + 2 Let r(j) = -7*j**2 - 5. Let l(u) be the thir
{ "pile_set_name": "DM Mathematics" }
there between 5:47 PM and 9:09 PM? 202 How many minutes are there between 4:10 AM and 11:56 AM? 466 How many minutes are there between 7:28 PM and 8:17 PM? 49 How many minutes are there between 1:49 AM and 4:44 AM? 175 What is 631 minutes after 1:23 PM? 11:54 PM How many minutes are there between 12:24 PM and 10:40 PM? 616 How many minutes are there between 2:34 PM and 11:26 PM? 532 How many minutes are there between 8:57 PM and 4:36 AM? 459 What is 89 minutes before 8:03 PM? 6:34 PM What is 584 minutes before 3:18 PM? 5:34 AM What is 644 minutes before 7:40 PM? 8:56 AM What is 572 minutes after 5:24 PM? 2:56 AM What is 252 minutes before 1:02 AM? 8:50 PM How many minutes are there between 6:58 AM and 3:21 PM? 503 What is 502 minutes before 12:11 PM? 3:49 AM How many minutes are there between 5:33 PM and 8:08 PM? 155 How many minutes are there between 9:51 AM and 5:33 PM? 462 How many minutes are there between 12:55 AM and 3:56 AM? 181 How many minutes are there between 6:08 PM and 1:58 AM? 470 What is 266 minutes after 9:17 AM? 1:43 PM What is 468 minutes after 3:38 AM? 11:26 AM How many minutes are there between 5:44 PM and 1:12 AM? 448 What is 454 minutes before 6:49 PM? 11:15 AM What is 367 minutes after 10:21 AM? 4:28 PM How many minutes are there between 11:56 PM and 11:17 AM? 681 How many minutes are there between 1:25 PM and 8:19 PM? 414 How many minutes are there between 11:17 PM and 11:31 PM? 14 How many minutes are there between 2:40 PM and 3:15 PM? 35 How many minutes are there between 5:19 AM and 1:31 PM? 492 What is 556 minutes after 5:02 AM? 2:18 PM How many minutes are there between 5:30 AM and 12:34 PM? 424 What is 697 minutes before 6:58 PM? 7:21 AM What is 710 minutes before 7:30 PM? 7:40 AM What is 195 minutes after 2:50 PM? 6:05 PM How many minutes are there between 6:31 PM and 8:07 PM? 96 How many minutes are there between 5:44 PM and 2:57 AM? 553 How many minutes are there between 9:34 PM and 11:44 PM? 130 What is 624 minutes before 7:38 AM? 9:14 PM What is 209 minutes after 11:49 PM? 3:18 AM How many minutes are there between 2:55 PM and 12:31 AM? 576 What is 708 minutes after 4:00 PM? 3:48 AM What is 155 minutes before 3:29 AM? 12:54 AM What is 103 minutes after 10:14 PM? 11:57 PM How many minutes are there between 5:44 PM and 6:23 PM? 39 What is 59 minutes after 6:00 AM? 6:59 AM What is 558 minutes after 2:01 PM? 11:19 PM What is 293 minutes after 8:07 PM? 1:00 AM What is 252 minutes after 9:15 PM? 1:27 AM What is 546 minutes after 3:11 AM? 12:17 PM How many minutes are there between 12:09 AM and 2:41 AM? 152 What is 235 minutes after 5:43 PM? 9:38 PM How many minutes are there between 6:37 AM and 2:23 PM? 466 How many minutes are there between 4:05 AM and 3:54 PM? 709 How many minutes are there between 11:03 AM and 2:17 PM? 194 How many minutes are there between 12:40 PM and 1:05 PM? 25 What is 92 minutes before 9:36 PM? 8:04 PM What is 414 minutes before 12:18 PM? 5:24 AM What is 128 minutes after 12:09 AM? 2:17 AM How many minutes are there between 3:39 AM and 2:56 PM? 677 How many minutes are there between 12:21 PM and 11:00 PM? 639 What is 266 minutes before 3:19 AM? 10:53 PM How many minutes are there between 4:22 PM and 12:05 AM? 463 How many minutes are there between 11:39 AM and 7:44 PM? 485 What is 170 minutes before 3:39 PM? 12:49 PM What is 682 minutes after 10:31 AM? 9:53 PM How many minutes are there between 7:44 PM and 8:46 PM? 62 How many minutes are there between 9:47 PM and 4:31 AM? 404 How many minutes are there between 4:48 PM and 11:51 PM? 423 What is 54 minutes before 1:18 PM? 12:24 PM How many minutes are there between 1:52 AM and 1:14 PM? 682 How many minutes are there between 1:20 AM and 12:57 PM? 697 How many minutes are there between 10:28 AM and 8:46 PM? 618 What is 56 minutes after 12:20 PM? 1:16 PM How many minutes are there between 8:49 PM and 2:12 AM? 323 What is 406 minutes before 9:43 PM? 2:57 PM What is 641 minutes after 5:57 PM? 4:38 AM How many minutes are there between 2:51 AM and 9:49 AM? 418 What is 557 minutes before 5:34 AM? 8:17 PM What is 244 minutes after 5:21 AM? 9:25 AM How many minutes are there between 10:10 AM and 7:57 PM? 587 What is 682 minutes before 3:09 PM? 3:47 AM What is 692 minutes before 5:04 AM? 5:32 PM What is 490 minutes after 9:13 PM? 5:23 AM How many minutes are there between 12:06 AM and 7:18 AM? 432 What is 270 minutes before 3:08 PM? 10:38 AM What is 194 minutes before 6:20 PM? 3:06 PM What is 97 minutes after 9:41 AM? 11:18 AM How many minutes are there between 11:41 AM and 5:02 PM? 321 What is 331 minutes before 10:50 PM? 5:19 PM What is 491 minutes before 4:03 AM? 7:52 PM How many minutes are there between 5:54 PM and 6:38 PM? 44 What is 630 minutes before 9:57 AM? 11:27 PM What is 59 minutes after 8:51 PM? 9:50 PM What is 636 minutes before 5:42 AM? 7:06 PM How many minutes are there between 6:11 AM and 2:27 PM? 496 How many minutes are there between 4:59 PM and 3:15 AM? 616 How many minutes are there between 9:54 PM and 11:22 PM? 88 What is 557 minutes before 8:25 AM? 11:08 PM How many minutes are there between 8:02 PM and 1:55 AM? 353 How many minutes are there between 8:42 AM and 8:56 AM? 14 How many minutes are there between 5:27 PM and 6:36 PM? 69 How many minutes are there between 3:15 PM and 10:27 PM? 432 How many minutes are there between 5:34 PM and 5:03 AM? 689 How many minutes are there between 3:48 PM and 5:58 PM? 130 What is 128 minutes before 5:58 AM? 3:50 AM How many minutes are there between 2:14 AM and 6:14 AM? 240 What is 607 minutes after 12:25 AM? 10:32 AM How many minutes are there between 4:19 PM and 4:58 PM? 39 What is 176 minutes before 7:49 AM? 4:53 AM How many minutes are there between 1:27 AM and 7:22 AM? 355 How many minutes are there between 7:28 AM and 9:53 AM? 145 What is 587 minutes before 7:06 PM? 9:19 AM How many minutes are there between 12:29 AM and 3:44 AM? 195 What is 211 minutes after 10:37 PM? 2:08 AM How many minutes are there between 3:02 AM and 11:30 AM? 508 How many minutes are there between 8:19 AM and 10:31 AM? 132 What is 639 minutes before 4:11 PM? 5:32 AM What is 687 minutes before 12:52 PM? 1:25 AM What is 317 minutes after 10:49 PM? 4:06 AM What is 10 minutes after 2:21 PM? 2:31 PM How many minutes are there between 2:19 AM and 5:24 AM? 185 How many minutes are there between 9:14 PM and 11:31 PM? 137 What is 491 minutes after 6:15 AM? 2:26 PM How many minutes are there between 4:17 AM and 6:46 AM? 149 What is 682 minutes before 11:53 PM? 12:31 PM What is 128 minutes after 5:52 PM? 8:00 PM How many minutes are there between 11:27 PM and 4:37 AM? 310 How many minutes are there between 10:43 PM and 11:37 PM? 54 What is 687 minutes before 9:12 PM? 9:45 AM How many minutes are there between 5:44 PM and 1:44 AM? 480 What is 166 minutes after 12:17 AM? 3:03 AM How many minutes are there between 11:48 AM and 4:48 PM? 300 How many minutes are there between 5:57 PM and 3:43 AM? 586 What is 647 minutes before 8:07 PM? 9:20 AM What is 681 minutes after 11:26 AM? 10:47 PM What is 240 minutes before 12:02 AM? 8:02 PM What is 508 minutes after 11:21 AM? 7:49 PM What is 155 minutes before 7:52 PM? 5:17 PM How many minutes are there between 9:32 PM and 11:27 PM? 115 What is 399 minutes after 2:07 PM? 8:46 PM How many minutes are there between 12:46 PM and 3:50 PM? 184 How many minutes are there between 7:56 AM and 1:50 PM? 354 What is 345 minutes after 6:52 PM? 12:37 AM How many minutes are there between 4:55 PM and 11:49 PM? 414 How many minutes are there between 4:40 AM and 6:27 AM? 107 What is 355 minutes after 10:02 PM? 3:57 AM How many minutes are there between 1:45 AM and 10:52 AM? 547 How many minutes are there between 12:26 AM and 4:50 AM? 264 What is 63 minutes after 12:24 PM? 1:27 PM How many minutes are there between 11:57 AM and 5:20 PM? 323 What is 49 minutes before 1:21 AM? 12:32 AM What is 197 minutes after 7:48 PM? 11:05 PM What is 344 minutes before 6:16 AM? 12:32 AM What is 42 minutes before 6:42 PM? 6:00 PM How many minutes are there between 10:47 PM and 2:56 AM? 249 What is 558 minutes after 1:12 AM? 10:30 AM What is 141 minutes after 2:14 AM? 4:35 AM How many minutes are there between 10:3
{ "pile_set_name": "DM Mathematics" }
31733 prime? False Is 206993 composite? False Is 37067 a composite number? True Is 1006021 a prime number? True Is 10033 composite? True Is 10727 a prime number? False Is 151729 a prime number? True Is 67085 a composite number? True Is 4883 a prime number? False Is 186377 a composite number? False Is 31643 composite? False Is 11101 composite? True Is 32537 composite? False Is 2257 a composite number? True Is 37427 a prime number? False Is 62791 a prime number? True Is 5678021 a composite number? True Is 20953 a composite number? True Is 96037 a composite number? True Is 10037 composite? False Is 27473 composite? True Is 27847 composite? False Is 1943 a prime number? False Is 12827 composite? True Is 464251 a composite number? False Is 645179 composite? False Is 4007593 a composite number? False Is 2155 a prime number? False Is 14171 a composite number? True Is 9179 prime? False Is 23927 prime? False Is 82129 prime? True Is 78079 a prime number? True Is 2521 prime? True Is 1147 a prime number? False Is 1259 prime? True Is 282027 a prime number? False Is 2869001 prime? True Is 10673 composite? True Is 7411 prime? True Is 25013 a composite number? False Is 713242 a composite number? True Is 12143 a prime number? True Is 27766 a composite number? True Is 191365 composite? True Is 21001 composite? False Is 91883 a prime number? False Is 20798 composite? True Is 12459 a composite number? True Is 65833 prime? False Is 216869 a composite number? True Is 500197 composite? False Is 1469197 composite? False Is 465109 a prime number? False Is 10533 composite? True Is 150229 prime? False Is 211 a prime number? True Is 193871 a prime number? True Is 111337 composite? False Is 25799 composite? False Is 563131 a prime number? True Is 195838 a prime number? False Is 388033 composite? True Is 87439 composite? True Is 390527 a composite number? False Is 1303663 composite? True Is 49597 a composite number? False Is 97247 a prime number? False Is 23773 a prime number? True Is 2395117 a composite number? False Is 5359 a prime number? False Is 425029 a composite number? True Is 2291 a prime number? False Is 1678 composite? True Is 17399 prime? False Is 69807 composite? True Is 8779 a prime number? True Is 279493 prime? False Is 215621 composite? True Is 19231 a composite number? False Is 556159 a composite number? False Is 96431 a composite number? False Is 1576157 a composite number? True Is 155609 prime? True Is 51 composite? True Is 14871 a composite number? True Is 33659 composite? True Is 6521 prime? True Is 100819 a composite number? True Is 369487 a composite number? False Is 19235 composite? True Is 9655 composite? True Is 40253 a prime number? True Is 1657 a prime number? True Is 54887 a prime number? False Is 338615 a prime number? False Is 221873 composite? False Is 1115 composite? True Is 882289 composite? False Is 153673 a composite number? True Is 1541315 composite? True Is 78823 a prime number? True Is 761113 a composite number? False Is 39874 prime? False Is 1091399 a prime number? True Is 74821 prime? True Is 409583 a prime number? False Is 43574 composite? True Is 6667 prime? False Is 5981 prime? True Is 9533 composite? False Is 16729 a composite number? False Is 191579 a composite number? False Is 183847 a composite number? True Is 1109 a prime number? True Is 179479 a prime number? True Is 36878 composite? True Is 301073 prime? True Is 760391 prime? False Is 769 prime? True Is 203807 composite? False Is 10519 a composite number? True Is 1062865 a composite number? True Is 1223707 composite? True Is 222581 composite? True Is 17213 a composite number? True Is 7715 a prime number? False Is 14431 a prime number? True Is 190933 composite? True Is 407893 a composite number? False Is 65761 a prime number? True Is 730193 a prime number? False Is 130631 a prime number? True Is 23711 a composite number? True Is 19661 composite? False Is 276035 a composite number? True Is 509471 a prime number? False Is 18623 composite? True Is 8251 a composite number? True Is 24989 a prime number? True Is 3901 prime? False Is 562541 a prime number? False Is 15527 prime? True Is 100787 composite? False Is 679 composite? True Is 1599637 a composite number? True Is 11981 composite? False Is 359305 composite? True Is 29663 a prime number? True Is 7573 prime? True Is 8939 prime? False Is 65959 a composite number? True Is 979 a prime number? False Is 766427 a prime number? False Is 11766487 composite? False Is 3401 prime? False Is 85154 a composite number? True Is 8803 a composite number? False Is 9689 prime? True Is 392273 prime? False Is 7867 a composite number? False Is 91 composite? True Is 110243 composite? True Is 54919 composite? False Is 1290635 prime? False Is 268773 a composite number? True Is 4556989 composite? False Is 468515 a composite number? True Is 184697 prime? False Is 6757 a composite number? True Is 58601 a composite number? False Is 157259 composite? False Is 16327 a composite number? True Is 664949 a composite number? False Is 221873 a prime number? True Is 70271 composite? False Is 1357 a prime number? False Is 126281 composite? True Is 378139 a composite number? True Is 28687 prime? True Is 44335 a prime number? False Is 710659 composite? True Is 61121 composite? False Is 21313 a prime number? True Is 2237 composite? False Is 173371 composite? True Is 198083 a composite number? False Is 31546 composite? True Is 571447 a prime number? False Is 26711 composite? False Is 23711 a prime number? False Is 17179 prime? False Is 8641 prime? True Is 21211 a prime number? True Is 108331 prime? False Is 194177 a composite number? True Is 489 prime? False Is 206665 a prime number? False Is 2149 composite? True Is 240457 a prime number? False Is 710717 a prime number? False Is 11251 a prime number? True Is 24659 composite? False Is 11441 a prime number? False Is 122443 a prime number? True Is 617377 a prime number? False Is 646957 prime? True Is 40423 a prime number? True Is 8999 a prime number? True Is 1451351 a composite number? True Is 649113 a prime number? False Is 395659 a composite number? True Is 498331 a prime number? True Is 13771 prime? False Is 1178549 a prime number? True Is 187309 a composite number? True Is 24359 a prime number? True Is 21181 a prime number? False Is 68371 prime? True Is 3261 prime? False Is 1061 composite? False Is 20467 prime? False Is 1243 a composite number? True Is 101017 composite? True Is 19111 a prime number? False Is 161029 a composite number? True Is 9649 prime? True Is 54019 a prime number? False Is 62347 prime? True Is 6387 a prime number? False Is 7283 a prime number? True Is 12343 a composite number? False Is 29031 prime? False Is 950111 a composite number? False Is 9059 a composite number? False Is 228493 composite? True Is 13517 a composite number? True Is 559941 composite? True Is 50357 a composite number? True Is 1963 composite? True Is 1213 prime? True Is 158293 a prime number? True Is 12479 a composite number? False Is 55147 a prime number? True Is 112835 prime? False Is 335261 a prime number? True Is 5637 composite? True Is 374159 a composite number? False Is 2879 composite? False Is 775189 a composite number? False Is 186841 prime? True Is 4499 a composite number? True Is 1259 a composite number? False Is 117057 a prime number? False Is 426922 composite? True Is 1419601 composite? True Is 663829 prime? False Is 4561 a prime number? True Is 9529 a prime number? False Is 79733 a composite number? True Is 24133 a composite number? False Is 212501 a prime number? True Is 145891 prime? False Is 151667 a prime number? True Is 388097 a composite number? True Is 80611 a prime number? True Is 251 a composite number? False Is 121881 composite? True Is 33805 a composite number? True Is 3953 a prime number? False Is 5209 a composite number? False Is 483023 a prime number? False Is 42433 a composite number? False Is 769 a prime number? True Is 74021 a composite number? False Is 40459 a prime number? True Is 950203 a composite number? True Is 3521 a composite number? True Is 341147 a composite number? True Is 2776045 a prime number? False Is 2291 prime? False Is 58829 a composite number? True Is 612439 a prime number? True
{ "pile_set_name": "DM Mathematics" }
-6 Let b(i) = 5 + 1 - 2 + 2*i. Let y(q) be the second derivative of q**3/6 + 5*q**2/2 - q. Let f(n) = -2*b(n) + 3*y(n). What is f(5)? 2 Let y(q) = q**3 - 7*q**2 + 6*q + 3. Let a be ((-9)/5)/(57/10 + -6). Calculate y(a). 3 Suppose h + 0*h = 5. Suppose -3*q + 4*o - 12 = -h*q, -q - 3*o + 8 = 0. Suppose -q*g - 16 = 2*g. Let b(d) = -d**3 - 4*d**2 - 3*d - 5. Give b(g). 7 Suppose -5*n + 4*t = -84, -4*n - 4*t + 82 + 14 = 0. Let u be n/(-6)*15/10. Let l(o) = -o - 6. Calculate l(u). -1 Let m(r) be the first derivative of -r**3/3 + 4*r - 15. What is m(-3)? -5 Let o(p) = p**2 + 6*p - 4. Let n = -15 + 6. Let r = -14 - n. Determine o(r). -9 Let c(d) = -d + 1. Suppose -21*p - 4 = -19*p. Calculate c(p). 3 Let n = 1 + -1. Let q be (1 - n)/(3/9). Let i(l) = -3 + q + 1 + 2*l. Determine i(-1). -1 Let v = -3 - 1. Let x = 4 + v. Let o(j) = -j**3 + j**2 + 4. Give o(x). 4 Let t(w) be the first derivative of -w**3/2 + 3*w**2/2 - 4*w - 2. Let u(m) be the first derivative of t(m). Give u(5). -12 Let f(j) = 4*j + 3. Let s be 5 - (-2)/(-4)*4. Suppose 0 = -s*a - 27 + 9. Let n(y) = -y - 8. Let d be n(a). Determine f(d). -5 Let k(x) be the third derivative of x**8/1344 - x**7/1260 + x**5/120 + x**4/12 - 3*x**2. Let w(a) be the second derivative of k(a). What is w(1)? 4 Let j(y) = -5*y**2 + 34 - 3*y - y**3 - 28 - y**2. Let c(o) = -2*o**2 - 5*o - 2. Suppose -6 = x - f, 7*f = -4*x + 3*f. Let w be c(x). Determine j(w). -4 Let w(i) = -3*i**2 - 2*i - 1. Let s(o) = -16*o**2 - 9*o - 4. Let h(t) = -2*s(t) + 11*w(t). Let v be h(-3). Let l(n) = 0*n - n + v - 1. Calculate l(1). -2 Let y(u) be the first derivative of -3 + 0*u + 0*u**2 + 1/3*u**3 - 5/2*u**4. Give y(1). -9 Let j(b) = -b - 9. Let l(m) = -2*m - 17. Let o(c) = 5*j(c) - 2*l(c). What is o(-7)? -4 Let w(f) = -272 + 272 - f. Give w(0). 0 Suppose 3*c + 0*c = -12. Let a(r) = 2*r**2 + r + 8. Let b(p) = 3*p**2 + 8. Let o(w) = c*a(w) + 3*b(w). Determine o(6). 4 Suppose -3*z - b - 25 = 0, 4*b + 3 = 4*z + 31. Let c = z - -10. Let o(a) = 3*a - 2. What is o(c)? 4 Suppose -2*x + 2 = 5*a - 1, 0 = -2*x + 8. Let j = -3 + a. Let h(z) = z**2 + 4*z - 1. What is h(j)? -1 Let a(o) be the third derivative of 1/24*o**4 + 3*o**2 + 0*o + 1/6*o**3 + 0. Give a(4). 5 Let r(t) be the second derivative of t**4/12 - t**3/6 - t**2/2 - 13*t. Determine r(-1). 1 Let v(u) = -4*u**3 + 5*u + 4. Let o(h) = 5*h**3 + h**2 - 6*h - 4. Let p(l) = -3*o(l) - 4*v(l). Suppose 5*w + 0*k = 3*k + 29, -5*w + k = -23. Determine p(w). 4 Let u(q) = -2*q + 3. Let b(i) = -2*i + 2. Let w(z) = -6*b(z) + 7*u(z). Calculate w(9). -9 Let k = -8 + 13. Suppose -2*t - 6 = -3*r - 3, -2*r - 9 = -k*t. Let f(s) = 2*s**2 - 4*s + 2. What is f(t)? 8 Let g(o) = -o**2. Let q(i) = -8*i**2 - 3*i - 2. Let z(f) = 5*g(f) - q(f). Calculate z(-2). 8 Let y = -44 + 48. Let m(u) = -3*u + 0 - u + u**2 + 5. Determine m(y). 5 Suppose 4*p = -2*i + 28, p - 5*i = -2*p - 5. Let j(s) = -s**2 + 5*s - 6. Calculate j(p). -6 Suppose -4*w = -2*z - 14, -w + 0 - 1 = z. Let b(u) = -5 + 3 - w*u + u**2 + 1 - 2. Determine b(4). 5 Let p(h) be the third derivative of -h**6/120 - h**5/30 - h**4/24 - 3*h**2. Determine p(-2). 2 Let s(p) be the first derivative of -p**3/3 + 3*p**2/2 - 3*p + 9. Determine s(4). -7 Let s(o) be the first derivative of o**3/3 - 7*o**2/2 + o + 5. Determine s(3). -11 Let f(b) = -b**2 + b + 4. Suppose 3*z + 15 = w, -w + 5*z = -4*w + 45. Suppose 12*p - 17*p + w = 0. What is f(p)? -2 Suppose 6 = f + 3. Let r(p) be the third derivative of 1/60*p**5 + 0*p - 1/3*p**3 - 7*p**2 - 1/6*p**4 + 0. Calculate r(f). -5 Let b(o) = -o - 753 + 751 - 5*o**2 + 0*o**2. Calculate b(-2). -20 Let j be (-14)/2*(-1)/1. Let b = j - 7. Suppose 0 = -b*n + 3*n - 12. Let h(s) = s**2 - 4*s + 2. Give h(n). 2 Let h be 12/2*(0 + 1). Let w(b) = 5*b - 2. Let o(t) = -4*t + 1. Let v(i) = -6*o(i) - 5*w(i). Give v(h). -2 Let t(n) = 6*n - 2. Let b be t(2). Suppose 3*u = -b - 5. Let o(w) = w**3 + 5*w**2 - w + 3. What is o(u)? 8 Let d(g) be the second derivative of -g**4/6 + 2*g**3/3 - g**2/2 + 6*g + 6. What is d(3)? -7 Let i(c) = c - 1. Let f(x) = x - 1. Let g(m) = -5*f(m) + 3*i(m). Let n(p) = p**3 + 3*p**2 - 6*p - 3. Let y be n(-4). Give g(y). -8 Let k(x) be the second derivative of x**5/20 + x**4/2 + 2*x**3/3 - 2*x**2 - 7*x. What is k(-5)? 1 Let o(i) = -i**2 + i**2 - 7*i**2 + i - 2*i. What is o(1)? -8 Let f(t) = 0*t**2 - 2*t + t**2 + 1 + 8*t. Let g(d) = -2*d**2 + d + 1. Let z = -1 - -3. Let s be g(z). Determine f(s). -4 Let j = -8 - -12. Suppose 3*x = 2*x, 5*w - j*x = 0. Suppose -u + w = 2. Let k(g) = g**3 + g**2 - g + 1. Determine k(u). -1 Let h(q) be the first derivative of -3*q + 2 + 1/3*q**3 - 1/2*q**2. Give h(0). -3 Suppose -2*g = 3*x + 2*g - 18, -x = -4*g + 10. Suppose -1 = -3*f + x. Let u(q) = -4*q**3 + q**2 - 2*q + 1. Calculate u(f). -4 Let v = 108 + -113. Let j(f) = f + 1. Let a(z) = -4*z + 3. Let d(r) = -a(r) - 5*j(r). Give d(v). -3 Let h(r) = r**2 + 4*r. Let o(l) = 5*l**3 + l**2 - l - 2. Let y be o(-1). Give h(y). 5 Let a(d) = -d**3 - 4*d**2 + 5*d + 3. Let l(q) = -q**3 + 5*q**2 - 3*q - 2. Let y be l(4). Suppose -13 = -y*s - 3*z + 7, 0 = -3*z + 6. Let j = s + -12. Give a(j). 3 Suppose 14 = 3*x - 7. Let y(m) = -2*m + 3 + m**2 + x*m + 0*m + 2. Calculate y(-6). 11 Let q(r) be the first derivative of 0*r**3 - 1/60*r**5 - 3/2*r**2 + 0*r**4 - 3 + 0*r. Let i(h) be the second derivative of q(h). Determine i(-1). -1 Let z = -9 - -15. Let l(m) = -m + 5. What is l(z)? -1 Let r(u) be the third derivative of -u**7/5040 - u**5/60 + 5*u**2. Let t(j) be the third derivative of r(j). Calculate t(4). -4 Suppose -2*u + 11*u - 27 = 0. Suppose 2*g + 5*m - 23 = g, g + 1 = m. Let o(x) = x**u - g + 3 + 2*x**2 - x**2. Calculate o(-2). -4 Suppose -4 = -4*s - 0*s. Let y(z) = 7*z. Calculate y(s). 7 Let w(g) = g**3 + 5*g**2 - 3. Let v be -1 - (-4)/2*-1. Let k be 1 + -1*(2 + v). Let u be -5*(k/(-2) - -2). Give w(u). -3 Let y(k) = -k**2 - 5*k + 0*k**2 + 3 - 5 + 0. Let s be y(-3). Let j(n) = -n**3 + 5*n**2 - n - 1. Give j(s). 11 Suppose -4*c = -3*f - 24, 5*c - 4 + 1 = -3*f. Suppose 0 = -t + c*o + 6, 4*t = -2*o - 1 - 3. Let i(l) = 2*l + 1 - 2 + t*l. Give i(-2). -5 Let c(z) = -2*z - 2*z + 3*z**2 - 4*z**2 - z - 3. Let t = -3 + 6. Suppose 16 = -7*q + t*q. Give c(q). 1 Suppose 2*j - 6 + 18 = 2*m, 0 = m. Let f(y) = -2*y + 1. What is f(j)? 13 Let m(o) = o**3 - 3*o**2 + 0 - 4 - 2*o**3 - 5*o - o**2. Give m(-3). 2 Suppose 2*h = -0*h + g + 5, 5 = -g. Let n(b) be the second derivative of -1/3*b**3 + h + 3/2*b**2 + 2*b. What is n(4)? -5 Let m(n) be the first derivative of -n**3/3 - 2*n**2 + 2*n + 1. Suppose 0 = 13*a - 18*a - 20. Determine m(a). 2 Let z(d) = 5*d**3 + 1. Suppose -3*v - 2*c = 1, 0 = -3*v - 2*c + 3*c - 4. Determine z(v). -4 Let m(k) = k - 4. Let i(w) = -3*w - 6. Let a be i(-4). Let x be (-7)/(-2) - a/12. Suppose 8*h - x*h = 0. Determine m(h). -4 Let u be (-3)/((-21)/(-6) + -2). Let z = -1 - u. Let h(a) = z - 6*a - 7*a**3 + 6*a. Give h(1). -6 Let g(x) = -x**3 - 4*x**2 + x + 1. Suppose -2*q - 6 = -2*k, 5*k - 6 - 1 = 3*q. Determine g(q). -3 Let p(n) be the first derivative of -4*n - 1/4*n**4 - 5/3*n**3 - 5/2*n**2 + 3. Calculate p(-3). -7 Let u(x) = 9*x**3 - 7*x**2 - 9*x + 19. Let g(i) = -4*i**3 + 3*i**2 + 4*i - 9. Let m(o) = -13*g(o) - 6*u(o). Determine m(3). -18 Suppose 5*i + 0*s - 52 = 4*s, -5 = -i - s. Let x(y) = -y**2 + 7*y + 9. Calculate x(i). 1 Let n(y) = y - 1. Let t be (-11)/(-3) + 1/3. Suppose 3 = -t*w - 3*z - 20, 4*z + 28 = -4*w. What is n(w)? -3 Let v(m) = m**3 - m**2 - m. Let t = -2 - -4. Give v(t). 2 Suppose 0 = -p - 2*p + 6. Let z(o) = -32*o**2 + 17*o**p + 19*o**2. Give z(1). 4 Let d(z) = z**3 - 6*z**2 + 5*z + 2. Let r be ((-6)/(-1))/(6/8). Let n(o) = -r*o + 7*o + 2*o. Let a be n(5). Calculate d(a). 2 Let h(s) = -s + 8. Let q(l) = 4*l - 34. Let n(b) = 9*h(b) + 2*q(b). What is n(6)? -2 Let y(m) be the third derivative of m**7/840 - m**6/60 + m**5/30 - m**4/24 + m**3 - 3*m**2. Let b(h) be the first derivative of y(h). Calculate b(5). -6 Let i(t) be the third derivative of 1/60*t**5 + 0*t - 5/24*t**4 + 0 + t**2 + 7/6*t**3. Let v = 1019 - 1014. Give i(v). 7 Let p(k) = -k**3 + 7*k**2 + k - 3. Let f be p(7). Let u(y) = y + 2. Let q(s) = 2*s + 3. Let b(t) = 3*q(t) - 5*u(t). What is b(f)? 3 Let y(l) = 2*l**2 - 6*l + 4. Let d be y(4). Let g = d + -8. Let o(f) =
{ "pile_set_name": "DM Mathematics" }
0. 153 Calculate the remainder when 1461 is divided by 485. 6 What is the remainder when 30989 is divided by 17? 15 Calculate the remainder when 18367 is divided by 428. 391 What is the remainder when 860 is divided by 59? 34 Calculate the remainder when 3247 is divided by 1607. 33 What is the remainder when 2856 is divided by 779? 519 What is the remainder when 481602 is divided by 53? 44 Calculate the remainder when 36197 is divided by 115. 87 What is the remainder when 356194 is divided by 35? 34 What is the remainder when 16111 is divided by 5365? 16 What is the remainder when 96482 is divided by 23? 20 What is the remainder when 74384 is divided by 1813? 51 What is the remainder when 116506 is divided by 40? 26 What is the remainder when 405 is divided by 162? 81 What is the remainder when 156 is divided by 118? 38 What is the remainder when 20455 is divided by 525? 505 Calculate the remainder when 153290 is divided by 29. 25 What is the remainder when 943 is divided by 366? 211 What is the remainder when 11942033 is divided by 13? 12 Calculate the remainder when 13649 is divided by 99. 86 What is the remainder when 19030 is divided by 4573? 738 What is the remainder when 850 is divided by 78? 70 What is the remainder when 102323 is divided by 2177? 4 What is the remainder when 4983 is divided by 89? 88 Calculate the remainder when 10199 is divided by 14. 7 What is the remainder when 180455 is divided by 5821? 4 Calculate the remainder when 2170 is divided by 357. 28 What is the remainder when 375038 is divided by 125010? 8 What is the remainder when 545668 is divided by 60? 28 What is the remainder when 66065 is divided by 286? 285 Calculate the remainder when 3593477 is divided by 44. 41 What is the remainder when 2363125 is divided by 1705? 1700 What is the remainder when 25330 is divided by 8428? 46 What is the remainder when 8360 is divided by 4142? 76 Calculate the remainder when 927 is divided by 448. 31 Calculate the remainder when 16071 is divided by 27. 6 Calculate the remainder when 87029 is divided by 294. 5 What is the remainder when 1202199 is divided by 246? 243 Calculate the remainder when 779 is divided by 259. 2 Calculate the remainder when 18282 is divided by 18088. 194 What is the remainder when 319460 is divided by 136? 132 What is the remainder when 45862 is divided by 56? 54 Calculate the remainder when 24291 is divided by 17. 15 What is the remainder when 260089 is divided by 32510? 9 What is the remainder when 1196761 is divided by 153? 148 What is the remainder when 68499 is divided by 170? 159 Calculate the remainder when 690153 is divided by 684. 681 What is the remainder when 101585 is divided by 72? 65 What is the remainder when 34240 is divided by 17118? 4 Calculate the remainder when 65009 is divided by 2. 1 Calculate the remainder when 9251 is divided by 143. 99 Calculate the remainder when 9034 is divided by 368. 202 Calculate the remainder when 6127 is divided by 3056. 15 What is the remainder when 9066 is divided by 346? 70 Calculate the remainder when 4528 is divided by 565. 8 Calculate the remainder when 5775 is divided by 5683. 92 Calculate the remainder when 45891 is divided by 154. 153 Calculate the remainder when 13175 is divided by 1459. 44 Calculate the remainder when 1761 is divided by 164. 121 Calculate the remainder when 45648 is divided by 5067. 45 Calculate the remainder when 73534 is divided by 238. 230 What is the remainder when 61712 is divided by 10281? 26 Calculate the remainder when 221522 is divided by 397. 393 Calculate the remainder when 26566 is divided by 46. 24 Calculate the remainder when 1903375 is divided by 337. 336 What is the remainder when 285301 is divided by 162? 19 Calculate the remainder when 108499 is divided by 30. 19 What is the remainder when 1719491 is divided by 573160? 11 What is the remainder when 3120 is divided by 898? 426 Calculate the remainder when 1337 is divided by 98. 63 What is the remainder when 111101 is divided by 224? 221 What is the remainder when 12999 is divided by 174? 123 What is the remainder when 23528 is divided by 2351? 18 What is the remainder when 846 is divided by 696? 150 What is the remainder when 11780 is divided by 236? 216 Calculate the remainder when 4901 is divided by 264. 149 Calculate the remainder when 487 is divided by 29. 23 Calculate the remainder when 279567 is divided by 93189. 0 What is the remainder when 3828 is divided by 1418? 992 Calculate the remainder when 2882 is divided by 60. 2 What is the remainder when 47015 is divided by 11750? 15 What is the remainder when 5552 is divided by 161? 78 What is the remainder when 137 is divided by 31? 13 Calculate the remainder when 737 is divided by 179. 21 Calculate the remainder when 51305 is divided by 16. 9 Calculate the remainder when 227093 is divided by 6. 5 What is the remainder when 48631 is divided by 412? 15 Calculate the remainder when 3500 is divided by 414. 188 What is the remainder when 12349 is divided by 1050? 799 Calculate the remainder when 79866 is divided by 79862. 4 What is the remainder when 614588 is divided by 291? 287 Calculate the remainder when 124116 is divided by 580. 576 Calculate the remainder when 4128 is divided by 143. 124 Calculate the remainder when 9072 is divided by 231. 63 What is the remainder when 6414 is divided by 403? 369 What is the remainder when 5911 is divided by 532? 59 What is the remainder when 685860 is divided by 38? 36 What is the remainder when 351849 is divided by 117280? 9 Calculate the remainder when 32337 is divided by 19. 18 Calculate the remainder when 4313 is divided by 21. 8 What is the remainder when 1677 is divided by 58? 53 Calculate the remainder when 1317 is divided by 266. 253 What is the remainder when 2716 is divided by 736? 508 What is the remainder when 26700 is divided by 329? 51 Calculate the remainder when 26887 is divided by 9. 4 Calculate the remainder when 21837 is divided by 187. 145 Calculate the remainder when 2850 is divided by 421. 324 Calculate the remainder when 3110 is divided by 620. 10 What is the remainder when 109073 is divided by 42? 41 What is the remainder when 977 is divided by 310? 47 Calculate the remainder when 1390 is divided by 1341. 49 What is the remainder when 4651 is divided by 71? 36 What is the remainder when 2416 is divided by 690? 346 Calculate the remainder when 34 is divided by 19. 15 Calculate the remainder when 292285 is divided by 146140. 5 What is the remainder when 33279 is divided by 21? 15 Calculate the remainder when 5976 is divided by 2987. 2 What is the remainder when 146909 is divided by 209? 191 Calculate the remainder when 831267 is divided by 19. 17 What is the remainder when 73427 is divided by 765? 752 Calculate the remainder when 389789 is divided by 35. 29 Calculate the remainder when 660 is divided by 4. 0 What is the remainder when 510637 is divided by 510634? 3 Calculate the remainder when 1324 is divided by 241. 119 What is the remainder when 85418 is divided by 1220? 18 What is the remainder when 2570 is divided by 1279? 12 Calculate the remainder when 17170 is divided by 349. 69 What is the remainder when 38482 is divided by 34? 28 Calculate the remainder when 960405 is divided by 18. 15 What is the remainder when 2333 is divided by 36? 29 Calculate the remainder when 4985 is divided by 1611. 152 Calculate the remainder when 56198 is divided by 114. 110 Calculate the remainder when 87715 is divided by 76. 11 Calculate the remainder when 374286 is divided by 1709. 15 Calculate the remainder when 3297 is divided by 332. 309 Calculate the remainder when 14349 is divided by 171. 156 What is the remainder when 6563 is divided by 559? 414 What is the remainder when 19109 is divided by 47? 27 Calculate the remainder when 2339 is divided by 490. 379 Calculate the remainder when 142408 is divided by 98. 14 Calculate the remainder when 6877 is divided by 642. 457 What is the remainder when 954790 is divided by 1068? 1066 Calculate the remainder when 6091 is divided by 2028. 7 What is the remainder when 1047 is divided by 338? 33 What is the remainder when 4432 is divided by 20? 12 Calculate the remainder when 251269 is divided by 3750. 19 Calculate
{ "pile_set_name": "DM Mathematics" }
acement from {y: 6, z: 2, u: 4, b: 1, o: 3}. Give prob of picking 3 y. 1/28 Four letters picked without replacement from {o: 1, k: 2, u: 5, q: 1, z: 9}. What is prob of picking 4 u? 1/612 Three letters picked without replacement from {t: 9, h: 4, s: 4}. Give prob of picking 3 h. 1/170 Three letters picked without replacement from wqqwqwqqqq. What is prob of picking 3 q? 7/24 Two letters picked without replacement from {t: 5, d: 4, a: 3}. Give prob of picking 2 d. 1/11 Calculate prob of picking 1 v and 3 t when four letters picked without replacement from suvttslltlllst. 4/1001 Two letters picked without replacement from llxllbxxtbbbbblbtlb. What is prob of picking 1 x and 1 b? 8/57 Calculate prob of picking 1 g and 1 t when two letters picked without replacement from ttggggtgggg. 24/55 Calculate prob of picking 2 t and 2 c when four letters picked without replacement from {r: 6, c: 3, t: 6}. 3/91 What is prob of picking 2 s when two letters picked without replacement from aaaosasassasssssssa? 55/171 Three letters picked without replacement from {h: 7, q: 2, f: 3, b: 3, z: 4}. What is prob of picking 1 q and 2 f? 2/323 Three letters picked without replacement from tftfffnnftptfffttftf. Give prob of picking 1 t, 1 f, and 1 n. 7/57 What is prob of picking 3 b when three letters picked without replacement from {b: 3, p: 1, n: 4}? 1/56 Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {t: 1, g: 1, l: 1}. 1/3 Three letters picked without replacement from {s: 2, o: 2, k: 1, i: 1, n: 4}. What is prob of picking 1 s, 1 n, and 1 k? 1/15 Two letters picked without replacement from {e: 1, u: 3, s: 3}. Give prob of picking 1 e and 1 s. 1/7 Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {q: 2, n: 1, b: 5, j: 1, c: 3}. 1/220 Calculate prob of picking 2 r and 1 t when three letters picked without replacement from wttttttrtrttttrtt. 39/680 What is prob of picking 1 e and 1 n when two letters picked without replacement from {e: 5, t: 4, n: 1}? 1/9 Calculate prob of picking 4 n when four letters picked without replacement from {h: 7, n: 12}. 165/1292 Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {i: 2, z: 1, o: 1}. 1/4 Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uuduuuuuuuuduudduuuu. 32/95 What is prob of picking 1 t and 1 l when two letters picked without replacement from tlllllllltl? 18/55 What is prob of picking 2 i when two letters picked without replacement from {y: 1, s: 10, i: 7}? 7/51 Calculate prob of picking 3 y when three letters picked without replacement from {x: 2, k: 1, y: 5, b: 2, h: 2, m: 1}. 5/143 Four letters picked without replacement from dlddldd. What is prob of picking 3 d and 1 l? 4/7 Three letters picked without replacement from {x: 1, f: 1, y: 2, z: 1}. What is prob of picking 1 f and 2 y? 1/10 What is prob of picking 1 e and 3 i when four letters picked without replacement from ieiiiiiiiiiiiiiiiii? 4/19 Four letters picked without replacement from jgnjggknnjijgkgjkj. Give prob of picking 4 j. 1/204 Three letters picked without replacement from fsmmeeevfeeffvffefe. What is prob of picking 3 e? 35/969 Calculate prob of picking 1 k, 1 n, and 1 s when three letters picked without replacement from sknnnkkn. 3/14 Three letters picked without replacement from gbbbfgbgbgggbggggg. Give prob of picking 3 g. 55/272 What is prob of picking 2 m when two letters picked without replacement from {m: 3, b: 4}? 1/7 Two letters picked without replacement from {k: 1, w: 2, i: 1, r: 1}. What is prob of picking 1 k and 1 w? 1/5 Three letters picked without replacement from {v: 5}. Give prob of picking 3 v. 1 Four letters picked without replacement from tedsgmet. Give prob of picking 1 m, 2 e, and 1 t. 1/35 Two letters picked without replacement from hhhiiaqmqq. Give prob of picking 1 a and 1 h. 1/15 What is prob of picking 4 e when four letters picked without replacement from eeeeeee? 1 Two letters picked without replacement from wjjjjrejejwwwrjjwwj. Give prob of picking 2 e. 1/171 Two letters picked without replacement from {z: 2, x: 1, f: 3, h: 3, d: 1}. What is prob of picking 2 h? 1/15 What is prob of picking 1 e and 1 j when two letters picked without replacement from jet? 1/3 Two letters picked without replacement from {x: 5, g: 2, e: 1, a: 2, q: 10}. Give prob of picking 1 a and 1 g. 2/95 Three letters picked without replacement from nnunnnnnnnnuunn. What is prob of picking 3 n? 44/91 Four letters picked without replacement from xxkkkkxxkxkxkkkxxkx. What is prob of picking 1 k and 3 x? 70/323 Calculate prob of picking 1 v and 1 q when two letters picked without replacement from qvcsvcveqqk. 9/55 Three letters picked without replacement from {k: 6, w: 4}. Give prob of picking 2 k and 1 w. 1/2 What is prob of picking 2 z when two letters picked without replacement from tlzgizcg? 1/28 What is prob of picking 3 j when three letters picked without replacement from {j: 3, n: 4}? 1/35 Three letters picked without replacement from qjfjjjjjjqjfjfqjjjj. Give prob of picking 1 q and 2 j. 78/323 What is prob of picking 3 u when three letters picked without replacement from uuu? 1 Two letters picked without replacement from {r: 4, s: 6, b: 9}. What is prob of picking 2 s? 5/57 Calculate prob of picking 2 n and 1 j when three letters picked without replacement from jbbbnbn. 1/35 What is prob of picking 1 b, 2 r, and 1 c when four letters picked without replacement from crcscbcmrrc? 1/22 Four letters picked without replacement from xxsxssettxsdesetede. What is prob of picking 1 x and 3 s? 10/969 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from iaaaazznuanaunaaba. 2/51 Four letters picked without replacement from llwxl. What is prob of picking 3 l and 1 x? 1/5 Three letters picked without replacement from {w: 4, f: 8, s: 5}. What is prob of picking 1 s and 2 f? 7/34 Two letters picked without replacement from vjvjwvjvzvvvjzvv. What is prob of picking 1 j and 1 w? 1/30 Calculate prob of picking 1 t, 1 f, and 2 e when four letters picked without replacement from {s: 2, m: 4, e: 2, f: 1, t: 3}. 1/165 Two letters picked without replacement from kjftr. Give prob of picking 1 k and 1 t. 1/10 Three letters picked without replacement from yygygyyyyyyy. Give prob of picking 3 y. 6/11 Two letters picked without replacement from bkabtkxtbt. Give prob of picking 1 t and 1 x. 1/15 Four letters picked without replacement from {e: 2, l: 6, m: 1, u: 3}. What is prob of picking 1 m and 3 l? 4/99 Two letters picked without replacement from {q: 1, i: 13, k: 1, l: 2}. Give prob of picking 2 i. 39/68 Three letters picked without replacement from {i: 2, f: 3, p: 8, k: 2, r: 2}. Give prob of picking 2 p and 1 k. 7/85 Calculate prob of picking 3 l and 1 o when four letters picked without replacement from {l: 9, o: 5}. 60/143 What is prob of picking 2 i and 2 c when four letters picked without replacement from {e: 1, f: 2, c: 10, i: 4}? 27/238 Calculate prob of picking 4 u when four letters picked without replacement from {k: 5, e: 1, i: 1, u: 4}. 1/330 Two letters picked without replacement from fffuffuhhfff. What is prob of picking 1 h and 1 u? 2/33 What is prob of picking 1 m and 1 x when two letters picked without replacement from {v: 1, x: 1, m: 1, j: 1, h: 1}? 1/10 Calculate prob of picking 1 p and 1 a when two letters picked without replacement from oaawwwwwweewyp. 2/91 What is prob of picking 1 v and 1 j when two letters picked without replacement from vjjjjwwddjjdvjvvvd? 35/153 Two letters picked without replacement from uyvyeyuyuyu. Give prob of picking 1 y and 1 u. 4/11 Four letters picked without replacement from ozzxxxexxzxoxzzzxx. Give prob of picking 1 x and 3 o. 0 What is prob of picking 3 s when three letters picked without replacement from {s: 6}? 1 What is prob of picking 1 r and 2 l when three letters picked without replacement from {l: 4, p: 5, r: 2}? 4/55 Four letters picked without replacement from bpvbbpzpzzbzpppb. What is prob of picking 1 z, 1 b, and 2 p? 15/91 What is prob of picking 1 l, 1 w, and 2 m when four letters picked without replacement from {i: 5, m:
{ "pile_set_name": "DM Mathematics" }
Let c(f) = 11*a(f) - 4*i(f). Calculate 2*c(l) + 11*o(l). -l - 1 Let d(i) = 6*i - 20. Let p be d(2). Let b(g) = -5*g + 3. Let f(r) = -14*r + 9. What is p*b(n) + 3*f(n)? -2*n + 3 Let x(k) = k. Let y(p) = 22*p**2 - 198*p. Determine -396*x(g) - 2*y(g). -44*g**2 Let l(d) = 90*d**2 - 12*d + 12. Let t(y) = 36*y**2 - 5*y + 5. What is -5*l(i) + 12*t(i)? -18*i**2 Let n(s) = -12*s - 8. Suppose 3*v - 17 = -2*u, -v = 3*v + 3*u - 23. Let k(m) = 8*m + 5. What is v*n(y) + 8*k(y)? 4*y Let z(q) = q**3 + q**2 + 5*q - 5. Let d(s) = -s**3 - 2*s**2 - 8*s + 8. Let r be -4 + (-1 - -2)*-4. Determine r*z(h) - 5*d(h). -3*h**3 + 2*h**2 Let l(c) = 9*c**3 + 5*c. Let h(u) = -11*u**2 - 1. Let i be h(-1). Let r(m) = -22*m**3 - 12*m. Give i*l(y) - 5*r(y). 2*y**3 Let q(i) = 2*i**2 - 18*i. Let x(w) = w. What is -q(s) + 3*x(s)? -2*s**2 + 21*s Let n(h) = -144*h**3 - 64. Let l(c) = -11*c**3 - 5. Give -64*l(g) + 5*n(g). -16*g**3 Let o(p) = -11*p**3 - 11*p - 15. Let w(x) = -5*x**3 - 5*x - 7. Suppose -2*q = 3*q - 30. Let c be ((-4)/(-6) + 7/21)*-13. Calculate c*w(y) + q*o(y). -y**3 - y + 1 Let j(i) = -4*i**2 - 6. Suppose 0 = -3*f + 4*u - 50, -f + 5*u = -0*f + 35. Let p be (4/f)/(10/(-25)). Let t(v) = v**2 + 1. Determine p*j(n) + 6*t(n). 2*n**2 Let s(v) = -10*v - 1 + v**2 + 6*v**3 - 4*v**3 + 9*v. Suppose 4*a + 5*j - 13 = 0, 3*a - 9 = -0*a - 3*j. Let f(r) = r**3 - r. What is a*s(h) - 2*f(h)? 2*h**3 + 2*h**2 - 2 Let f(a) = 48*a. Let n(g) = -12*g. Give 2*f(d) + 9*n(d). -12*d Let i(u) = 3*u**2 - 4*u - 2. Let w be 9/36*(-1 + 9). Let z(o) = -o. Let h(a) = a**2 + 3*a - 1. Let t(k) = h(k) + 4*z(k). Determine w*t(d) - i(d). -d**2 + 2*d Let k(y) = -y**2. Let p(h) = -20*h + 0*h**2 - 3*h**2 + 22*h + 4*h**2 + 1. What is -2*k(b) + p(b)? 3*b**2 + 2*b + 1 Let y(f) = 4*f - 3. Let x(w) = -2*w + 7. Let l(a) = -a + 4. Let c(n) = -5*l(n) + 3*x(n). What is -6*c(v) - 2*y(v)? -2*v Let p(s) = -5*s**3 - 2*s - 7. Let m(n) = -3*n**3 - n - 4. Let d = -1 - -6. Let f = 1 - d. Give f*p(i) + 7*m(i). -i**3 + i Let q(k) = 6*k**3 + 3*k**2 - 20. Let v = 73 + -79. Let w(z) = 2*z**3 + z**2 - 7. Give v*q(x) + 17*w(x). -2*x**3 - x**2 + 1 Let i(q) = -q - 6. Let p(d) = 3. What is 2*i(s) + 5*p(s)? -2*s + 3 Let i(z) = 27*z**2 - 12*z. Let y(l) = l**2 - 5*l - 12. Let g be y(5). Let j(b) = -11*b**2 + 5*b. Determine g*j(p) - 5*i(p). -3*p**2 Let l(u) = -11 + 0 + u - 1. Let q(x) be the second derivative of x**4/24 + x**3/6 + x. Let v(p) be the second derivative of q(p). Determine -2*l(n) - 22*v(n). -2*n + 2 Let b(i) = -3*i + 5. Let v(f) = -1. Let q be ((-5)/(-25))/(1/5). Determine q*b(r) + 5*v(r). -3*r Let s = -3 - -2. Let q(a) = -8*a**3 + 10*a**2 + 10. Let m(o) be the third derivative of -o**6/120 + o**5/60 + o**3/6 + 7*o**2. Calculate s*q(w) + 10*m(w). -2*w**3 Let y(k) be the first derivative of 5*k**2/2 + 2. Suppose 4*g = 3*p + 29, p - 2*g + 8 + 1 = 0. Let i(w) = w. What is p*i(d) + 2*y(d)? -d Let i(g) = -5*g - 3. Let p be i(-4). Let t(j) = -6*j**2 + 2*j**2 + 73*j**3 - 5 - 77*j**3. Let y(d) = 11*d**3 + 11*d**2 + 14. What is p*t(a) + 6*y(a)? -2*a**3 - 2*a**2 - 1 Let l be (-18)/(-15)*80/6. Suppose -c - 2*v = -3*c - 2, 3*c + 5*v = -19. Let j = c + 6. Let z(g) = 10*g - 26. Let b(q) = -2*q + 5. Give j*z(r) + l*b(r). -2*r + 2 Let p(z) = 2*z**2 - 2*z - 3. Let o(r) = -4*r**2 + 5*r + 7. Give 4*o(a) + 9*p(a). 2*a**2 + 2*a + 1 Let p(h) = 14*h - 3. Let d(j) = 9*j - 2. Let o = 48 - 53. Determine o*p(u) + 8*d(u). 2*u - 1 Suppose -q + 2*u = -0*q + 10, 4*q + 18 = -3*u. Let c be (8 - -1) + q/3. Let o(n) = -2*n**2 + n + 3. Let h(p) = -5*p**2 + 3*p + 7. Give c*o(a) - 3*h(a). a**2 - 2*a Let r(n) = 5*n - 6. Let t(d) = -11*d + 13. Suppose 5*q + 54 = -3*b, -2*b = -2*q - 2*q + 14. Give b*r(c) - 6*t(c). c Let h(z) = 3*z. Suppose 2*s + 3*j + 9 = 0, -s + 2*s - 8 = j. Let m(t) = -4*t - 1. Give s*h(f) + 2*m(f). f - 2 Let u(o) = 2*o**2 + 2*o. Let i(y) = -2*y**2 - 3*y - 1. Give -4*i(z) - 5*u(z). -2*z**2 + 2*z + 4 Let f(i) = -6*i**3 + i - 2. Let b(y) be the second derivative of 7*y**5/20 - y**3/6 + y**2 - 8*y. Determine -4*b(w) - 5*f(w). 2*w**3 - w + 2 Let u(i) = -6*i**2 - 27*i. Let p(a) = -a**2. What is 4*p(h) - u(h)? 2*h**2 + 27*h Let i(z) = -2*z + 2. Let w(h) = h + 1. Let q(c) = -3*c - 1. Let u(f) = -q(f) - 2*w(f). What is -4*i(a) - 7*u(a)? a - 1 Let i(v) = 3*v**2 - 2*v - 22. Let r(s) = 7*s**2 - 5*s - 43. Determine -5*i(p) + 2*r(p). -p**2 + 24 Let n(x) = 7*x + 4. Let p = -37 + 33. Let u(l) = 48*l + 27. What is p*u(g) + 27*n(g)? -3*g Let u(n) = -8*n**2 + 4*n. Let s(p) = p**2 - p. Calculate 6*s(v) + u(v). -2*v**2 - 2*v Let c(d) = -d + 1. Let h(u) = u. Let o(k) = c(k) + 2*h(k). Let n(t) = -5*t - 6. Suppose 13 = -5*v + 3. Calculate v*n(m) - 11*o(m). -m + 1 Let w(a) = -12 - 4*a**2 + 12 - 3*a. Let d(t) = -5*t**2 - 4*t. What is 3*d(h) - 4*w(h)? h**2 Let m(u) = -11*u - 5. Let q(x) = -22*x - 9. Calculate -5*m(f) + 3*q(f). -11*f - 2 Let p(v) = 4*v**3 - 5*v**2 - v. Let t(i) = -13*i**3 + 16*i**2 + 3*i. Determine 7*p(n) + 2*t(n). 2*n**3 - 3*n**2 - n Let u(q) = -8*q**3 - 6*q**2 - 6*q - 4. Let z be ((-3)/9)/((-3)/153). Let i(r) = -23*r**3 - 17*r**2 - 17*r - 11. What is z*u(h) - 6*i(h)? 2*h**3 - 2 Let r(j) = 5*j**2 + 4*j + 4. Let x(d) = -45*d**2 - 35*d - 35. Calculate 35*r(y) + 4*x(y). -5*y**2 Let h(m) = -m**2 + 3*m + 2. Let k(a) = 3*a**2 - 12*a - 9. What is -9*h(b) - 2*k(b)? 3*b**2 - 3*b Let a(j) = 8*j - 5. Suppose 2*k = 14 - 4. Let q(n) = 7*n - 4. Give k*q(u) - 4*a(u). 3*u Let b(u) = -3 + u**3 - 2 + 3*u**3. Let a(j) = -j**3 + 7*j**2 - j + 6. Suppose -2 - 5 = -f. Let q be a(f). Let k(h) = -h**3 + 1. What is q*b(l) - 5*k(l)? l**3 Let j(a) = -17*a**3 - 6*a - 6. Let t(b) = -35*b**3 - 13*b - 13. Give 13*j(u) - 6*t(u). -11*u**3 Let k(y) be the second derivative of 3/20*y**5 + 0 + 0*y**2 - 1/12*y**4 - 2*y + 1/2*y**3. Let n(j) = -4*j**3 + 2*j**2 - 4*j. Determine -3*k(i) - 2*n(i). -i**3 - i**2 - i Let h(q) = -5 + 5 - 1 + 4*q - 2. Let r(w) = -9*w + 6. What is -13*h(u) - 6*r(u)? 2*u + 3 Let i(a) = a - 16. Let z(j) = 3*j - 31. Calculate -5*i(p) + 2*z(p). p + 18 Let i(b) = -11*b. Let a(z) = 10*z. Calculate 4*a(k) + 3*i(k). 7*k Let b(h) = -2*h**2. Let v(d) = -d**2 + 1. Let p(g) = -4*g**2 + 5. Let o(q) = -p(q) + 5*v(q). Determine -3*b(j) + 3*o(j). 3*j**2 Let a(u) = -13*u**3 - 3*u**2 - 3*u. Let p(m) = -12*m**3 - 2*m**2 - 2*m. Give 4*a(c) - 5*p(c). 8*c**3 - 2*c**2 - 2*c Let b(i) be the first derivative of -4*i + 2 + 0*i**2 + 7/6*i**3. Let m(g) be the first derivative of b(g). Let s(a) = 4*a. Determine -6*m(v) + 10*s(v). -2*v Let a(b) = -b**2 + 24*b - 25. Let f be a(23). Let j(m) = 6*m**3 + 4*m - 11. Let z(q) = q**3 + q - 2. What is f*j(r) + 11*z(r)? -r**3 + 3*r Let r(d) = d + 25. Let c(t) = 3*t + 76. Calculate -3*c(m) + 8*r(m). -m - 28 Let r(t) = -13*t**2 + 9*t + 9. Let b = -18 + 9. Let k(o) = -3*o**2 + 2*o + 2. Let f = -9 + 11. Calculate b*k(m) + f*r(m). m**2 Suppose 2*h + h = -3. Let w(p) = p. Let v(g) = 4*g - 8. Let s(l) = -4*l + 7. Let n(f) = 7*s(f) + 6*v(f). Give h*n(j) - 2*w(j). 2*j - 1 Let p(i) = i**3 + 4*i**2 - i + 4. Let s(a) be the first derivative of -a**3/3 + a**2/2 - a - 1. What is p(h) + 4*s(h)? h**3 + 3*h Let p(x) = -9*x - 4. Let w(b) = -5*b - 2. What is -4*p(i) + 7*w(i)? i + 2 Let q(i) be the first derivative of i**4/4 - i**3/3 + 1. Suppose -4*r = 2*g, 2*g + g - 5 = -r. Let f(j) = -2*j**3 + 3*j**2. Calculate g*f(d) + 5*q(d). d**3 + d**2 Let c be 6/9*3 - 2. Suppose -o - o - 8 = c. Let w(x) = -3. Let p(s) = -1. Let d(v) = 4*p(v) - w(v). Let h(l) = l - 1. Calculate o*d(z) + 2*h(z). 2*z + 2 Let u(m) = 7*m**2. Let p(x) be the third derivative of -11*x**5/60 + 7*x**2. Calculate 5*p(v) + 8*u(v). v**2 Let x(o) be the first derivative of -2*o**2 + o + 6. Let u(c) = -2*c + 1. Give -5*u(z) + 3*x(z). -2*z - 2 Let p(q) = 7. Let s(d) = d**3 + 15. What is 5*p(x) - 2*s(x)? -2*x**3 + 5 Suppose g = 4*h - 12, h - 5*h + 12 = -3*g. Let u(x) = 0*x - h*x - x + 2. Let n(f) = -f - 9*f + 2*f + f + 3. Determine 3*n(i) - 5*u(i). -i - 1 Let a be ((-2)/(0 + -1))/1. Let k(d) be the third derivative of d**5/60 - d**4/24 + d**3/6 - 3*d**2. Let p(i) = 5*i**2 - 6*i + 6. Give a*p(s) - 11*k(s). -s**2 - s + 1 Let m(t) = 0*t - 3*t + t. Suppose 4*y - 2*y = -28. Let n(p) = 6*p. Determine y*m(k) - 5*n(k). -2*k Let t(a) = a + 23. Let h(o) = 11. Let d(w) = 5*h(w) - 2*t(w). Let g be (14/(-8))/((-3)/12). Let r(v) =
{ "pile_set_name": "DM Mathematics" }
. Let h be y(5). Let c be 9 - ((-55)/(-5) + -1 + -5). Solve -x + 5 = 5*k, -c*x + h*k = k + 18 for x. -5 Let j(b) = -b**3 - 14*b**2 - 38*b + 22. Let k be j(-10). Solve d + 9 = 5*x - k, 0 = -5*d + 2*x - 9 for d. -1 Let p be (-336)/(-57) + 6/57. Suppose -f - 15 - 3 = 4*q, 2*f + 2*q = -6. Let t be p/4 + f/4. Solve 4*u - 2*w = -t, 0 = -2*u - 2*u + 3*w + 1 for u. -2 Suppose -18 = -7*k + 17. Suppose -d = -2*z + 1 + k, 0 = -5*d + 3*z - 9. Solve d = -4*n + 2*j, -n - j + 2 + 1 = 0 for n. 1 Let f(c) = 10*c**2 - 7*c + 1. Let u be f(1). Suppose u*z = -3*a + 21, -2*z + 6 = 3*a - 3*z. Solve 3*q - 24 = -a*j, 4*j - 35 = -q - 4*q for q. 3 Let b(m) = -6*m - 5. Let r be b(-1). Let c be ((-57)/171)/(r + (-26)/24). Solve 3*i + i = c*v + 12, -v - 7 = -3*i for i. 2 Let z = 2 - 0. Suppose -w = -3*w - 3*f - z, 4*w - 12 = 2*f. Suppose 4*p + 8 = w*h, 0*p - 3*h + 12 = -p. Solve -4*v + q + 9 = 0, p = -3*q + 5 + 4 for v. 3 Let h be 96/(-21) - 4/(-7). Let o(s) = s**2 + 8. Let g be o(h). Solve 5*d - g = -4, 16 = 3*t + d for t. 4 Let m(x) = 38*x - 29. Let f be m(1). Solve 2*z - 4*p = 18, 3*p + f = -0*p for z. 3 Let s = -28 + 30. Suppose 5*p + 5*g - 40 = 0, -s*g = 4*p - 8 - 16. Solve 16 = p*h, -9 = -3*i + 5*h - 32 for i. -1 Let x = 331 - 311. Solve -3*k - 2*k = 4*z + 5, -3*z + k = -x for z. 5 Let l be (-24)/4*16/6. Let s = l + 12. Let j = 6 + s. Solve 2*g + 0*x - j = -2*x, -5*x = -g + 13 for g. 3 Suppose 0 = -11*l + 13*l + 98. Let a = -46 - l. Solve 4*i + 12 = -4*b, a*b + 6 = -i - i for i. -3 Let n(x) = 7*x + 5. Let m be n(-5). Let q be (-4 - 1)/((-8)/(432/(-9))). Let r = m - q. Solve -4*i - c - 17 = r, 0*c = 2*c - 6 for i. -5 Suppose 15*z + 4*q = 10*z + 15, q = -4*z + 12. Solve z = 2*d - 3*n - 2, -d - n = 10 for d. -5 Let p(n) = -n**2 + n + 1. Let q be p(0). Let g = 19 - q. Let h be g - 5/(-5) - 1. Solve -j - h = 2*j + 3*b, -b + 2 = -j for j. -4 Let d = 45 + -40. Suppose -3*a + 2 = -u - a, -d*u - 4*a = -18. Solve -u*j + j - 3*f = 14, -3*j = -5*f - 14 for j. -2 Let i be (-20)/(-12) + (-2)/(-6). Let n = i + -13. Let b = n - -11. Solve -v - 6 = -x, b*v = -5*v - 5*x + 20 for v. -1 Let x(y) = y**3 - 9*y**2 - 10*y + 1. Let l be x(10). Let b = 24 + l. Solve -4*m = -5*c - 45, -4*m - c + 2*c = -b for m. 5 Suppose -46*x + 64*x = 72. Solve w - 2*u - 23 = -2*w, 0 = -x*w - 5*u for w. 5 Let k = 33 - 28. Solve 2*o = -k*q + 7, 6*q = 2*q + 12 for o. -4 Let z(p) = -2 + 4 - p**2 + 2 - 11*p. Let h be z(-11). Let x be (h/(-12))/(1/(-15)). Solve -t = -x*j + 14, 3*j = -3*t - 2*j - 2 for t. -4 Let b(z) = 9*z**3 + 2*z**2 - 3*z. Let u be b(1). Solve 0 = -2*n - 8, -2*n - u = -0*f - 5*f for f. 0 Suppose -3*n - 2*k + 210 = -50, -2*n + 164 = -k. Suppose 5*v - 6 - n = 0. Solve -2*q = -5*q + 3*c - v, q - 5*c = -22 for q. -2 Suppose -10 = -5*k + 3*m, -8*k + 2*m + 6 = -5*k. Solve 6*y = 4*x + k*y - 16, 5*x - y = 24 for x. 5 Let i be (-5)/((-20)/(-24))*-1. Suppose -i*h + 34 = -104. Solve 0 = 4*s - 3*y + h, 2*s + y - 1 = 0 for s. -2 Let a(j) = j**3 - 26*j**2 + 24*j + 26. Let z be a(25). Solve g + z = 2*q, -3*g + g = 5*q - 7 for q. 1 Suppose -2*h + 4*j = -4*h - 2, -2*h - 5*j - 3 = 0. Let d = -10 + h. Let p be 18/27*d/(-2). Solve -5 = 2*s - 2*m + p, -2*s + 4 = m for s. 0 Let z = -26 - -22. Let t = z - -9. Solve -14 = -t*y + n - 35, n = 1 for y. -4 Let y(a) = 44*a - 18 + 4*a**3 - 34*a - 30*a - 3*a**3 - 20*a**2. Let u be y(21). Solve -4*x - 5 = u*n, 5*x + 40 = n + 10 for x. -5 Suppose g + 122 = 5*g - 2*n, -3*n - 123 = -4*g. Suppose -g*z + 20*z = 0. Let q = 18 + -11. Solve 25 = -z*h + 5*h, q = 4*k - h for k. 3 Suppose -38*o + 128 = -6*o. Solve 0 = 5*k - 2*v - 22, o*k - v + 2 - 19 = 0 for k. 4 Let t(s) = -4*s**3 + 5*s + 6. Let f be t(-2). Let j be (140/f)/((-2)/(-2)). Solve 14 - 1 = j*k - a, -4*k - 4*a + 20 = 0 for k. 3 Suppose -85 = 4*v + v. Let o = -21 + v. Let c be (-4)/(-20) + o/(-10). Solve r - 2*i = -4*i - 9, -25 = -5*r + c*i for r. 1 Suppose 3*g + 16 - 22 = 0. Solve -g*n + 6*n - 4 = -3*l, -l + 8 = -2*n for l. 4 Let u be (-1)/(-2)*0/(-1). Solve z = 5*d - 2 - 26, -2*z - d - 1 = u for z. -3 Let s = -1249 - -1259. Solve s = 2*t, 1 = 5*z - 3*z + t for z. -2 Let s be (-3*1)/(5 - 6). Suppose -j + y + 5 = s*y, 11 = 4*j - y. Let m(q) = 2*q + 1. Let p be m(5). Solve -3*a - j*h + 27 = 0, -4*h + 20 = 3*a - p for a. 5 Let h = 24 - 20. Suppose h*c - 40 = -4*c. Solve -5*b + 1 = -4, -3*f - 8 = -c*b for f. -1 Let d(f) = f**2 - f - 1. Let y = -7 + 8. Let n be -4 - (-2 + (1 - y)). Let t be d(n). Solve -2*j = t*a + 17, 4*j = 5*a + 42 - 1 for a. -5 Let d(m) = -11*m - 5. Let p be d(-5). Let v be (-6*1)/3 - -24. Suppose 4*l - v = p. Solve 4*c = n - l, 4*n + 7 = 5*c + 35 for c. -4 Let n(l) = l**2 + 21*l + 50. Let w be n(-20). Solve 4*v + 2*i = -w, -v = 3*v - 4*i for v. -5 Let j = -83 + 102. Let r(c) = c**3 - 21*c**2 + 39*c - 15. Let y be r(j). Solve 3*u - 15 = 2*h - 6*h, -5*u + y*h = 7 for u. 1 Suppose 18 = c - 34. Suppose 3*m - c = 5*b - b, 3*m - 5*b = 50. Solve u + 2*y - 7 = 2*u, -m = -4*y for u. 3 Let t(k) = -4*k - 11. Let d = 7 + -12. Let b be t(d). Let p be b/(-6)*8/(-3). Solve 8 = p*u + 2*f, -2*f = u - f for u. 4 Suppose 4*v - 9 = -1. Let q be ((-6)/2)/3*7. Let r = 13 + q. Solve 0 = b - 3*b - r, v*h = -3*b - 9 for h. 0 Suppose 10*a - 7*a = 18. Solve -4*o + 20 = 0, 0 = 3*r - a*r + o + 1 for r. 2 Suppose 31 = -5*s - 5*v + 131, -3*v = -4*s + 87. Suppose s = 121*f - 118*f. Solve 4*n - f = -2*h + 5, 2*h = n - 3 for n. 3 Suppose -3*v + 39 = -2*m + 5*m, -5*m + 61 = v. Suppose -f - 2*a + m = 0, -5*f + 0*f = -a - 38. Solve 4*o - f = 2*y, 6*o - 3*o = 4*y + 1 for y. 2 Let r = 480 + -476. Solve 0 = -r*a - v + 8, 5*a - 2*v = -3*v + 10 for a. 2 Suppose 10*k = -3 - 7. Let w be (-18)/(-10) + ((-4)/20)/k. Solve -u + 2*x - 1 = 0, 4*u - 11 = -u + w*x for u. 3 Let h(w) = w**3 + 5*w**2 - 5*w - 22. Let v be h(-5). Solve -3 = -3*j - d - 2, -5*d = v*j - 5 for j. 0 Let r = 271 - 260. Let z(g) = -g**2 + 6*g + 5. Let i be z(6). Let b = i + -3. Solve -b*x - 5*p - 12 = 0, -p = 5*x + 2*p + r for x. -1 Let o be (-110)/(-27) + 104/(-1404). Suppose 4 = -0*b + b. Solve -o*c + 3*i - 7*i = -4, -b*c + 3*i = 24 for c. -3 Let h = 697 - 693. Solve 0 = h*f + d + 10, 6*d + 6 = f + 2*d for f. -2 Let z = -65 + 87. Let n be -1 + 1 + -2 + z. Solve 4*h - n = m, 4*h - 12 = -3*m + 2*m for m. -4 Let h = 112 + -110. Let v be 4*(h + -3)*(-3 + 2). Solve v*w + w - t - 15 = 0, -5*t - 25 = 0 for w. 2 Let u be ((-36)/7 + 0)*7. Let l = u + 39. Solve j + 5*f + 3 = 0, 4*j - j + l*f = -9 for j. -3 Suppose -n = 99 - 25. Let q = -74 - n. Solve -r + 5 = a - q*r, -9 = -3*r for a. 2 Let d = 31 - 22. Suppose -q + b + 6 = 3, -b = 3*q - d. Suppose -q*o - 14 = -i, 5*i - 6 = 5*o + 34. Solve i*h + 16 = -4*x, 2 = x + 6 for h. 0 Suppose p - 7*p = -48. Solve -f + b + 2 = -2*b, 3*f - 2*b + p = 0 for f. -4 Let p be (1/((-6)/(-4)))/(228/684). Solve -p*n + 0*n - w = -3, 5*n - 3*w + 9 = 0 for n. 0 Let c = -1842 - -1845. Solve -c = 3*s, 4*s + 5 = -3*j - 11 for j. -4 Let a = 157 - 73. Suppose -5*k + 26 = -a. Solve -1 = -b + 2*b + 2*h, -2*b + 4*h = -k for b. 5 Let m be (-20)/3*27/(-36). Solve 3 = 2*y + m*g, 5*y + 3*g = 5*g - 7 for y. -1 Suppose -3*v = -8*v + 2*s + 26, -3*v + 3*s = -12. Solve -2*p = -5*c - 12, -5*c - v = -4*p - 2 for p. -4 Let w be (0 - 5)*(-2 + 3 + -2). Solve -4*a + 24 = 5*o, 0 = -w*a + 2*o + 2*o - 11 for a. 1 Suppose 4*v = z - 0*z + 133, 0 = -v - 4*z + 29. Let h = 38 - v. Solve 2*b = 6, -h*i + 8 = -0*b - 4*b for i. 4 Suppose -3*v + 1 = -f, -4*v = 3*f - f - 18. Let b be -4*(3/v - 2). Suppose 0*y = b*y. Solve 3 = 2*d + 3*d + 2*k, -4*d - k + 3 = y for d. 1 Suppose -11*u = -2*u - 45. Solve 3*g + 3*d + 3 = 0, u*g - 18 = 3*d + 9 for g. 3 Let l(j) = 4*j + 60. Suppose -s = 7 + 2. Let h be l(s). Solve -h = 5*o - g - 0*g, 12 = 3*g for o. -4 Let c(u) = -3*u - 6*u**2 - 5*u**2 - 2*u**3 + u**3 + 4*u**2 + 1. Let b be c(-5). Let k = b - -43. Solve 5*o + 25 = -4*a, 2*o - o = 2*a + k for a. -5 Suppose -1323 = -5*v + 177. Let c be (-2)/(-11) + v/44. Suppose -8 = 3*s - c*s. Solve 3*b = -5*h - 21, -h - b - 7 + s = 0 for h. -3 Let s = 34 - 46. Let a be s + 16 - (1 - 2). Let t = -7 - -10. Solve t*o = -9 - 3, -a*o - 14 = -2*g for g. -3 Let x be -3*(5 + -1 + -3). Let m = 2 - x. Suppose 0 = 3*c - 5*v + 4, c = -0*c - m*v + 12. Solve p + 2*r = -2*p + c, 5*p + 4*r - 2 = 0 for p. 2 Let i = 9 + -4. Let d = 27 - 23. Sol
{ "pile_set_name": "DM Mathematics" }
5*s - 0*s for s. 0 Solve -126*d - 250 = -101*d for d. -10 Solve 8*r - 3 = -43 for r. -5 Solve -14*x + 13*x = 0 for x. 0 Solve -18*p + 15*p = 15 for p. -5 Solve 329*w + 210 = 359*w for w. 7 Solve -36*o = -42*o - 24 for o. -4 Solve 63 = 9*n + 45 for n. 2 Solve 4*v = -6 + 26 for v. 5 Solve 0*a - 14*a + 70 = 0 for a. 5 Solve -21*n - 6*n + 162 = 0 for n. 6 Solve m = 4*m for m. 0 Solve -181 - 144 = 65*o for o. -5 Solve 124 = 99*c - 74 for c. 2 Solve -17*p + 11 = -23 for p. 2 Solve -29*h = -34*h + 15 for h. 3 Solve s - 96 = -31*s for s. 3 Solve -6*c = -40 + 28 for c. 2 Solve 12*j + 115 = -11*j for j. -5 Solve 1 - 7 = -6*c for c. 1 Solve -4*x + 5 + 3 = 0 for x. 2 Solve -30*c + 37*c = 7 for c. 1 Solve 6*f + 3*f = 4*f for f. 0 Solve -32 + 6 = 26*c for c. -1 Solve 0 = 48*c - 130 - 14 for c. 3 Solve 770*k = 771*k + 5 for k. -5 Solve 6*k + 3 = -9 for k. -2 Solve -p = 4*p - 15 for p. 3 Solve -2*q + 213 = 209 for q. 2 Solve 6 = -3*t + 6 for t. 0 Solve -4*b - 9 - 7 = 0 for b. -4 Solve 137 = -9*x + 128 for x. -1 Solve 9*z - 25 = 20 for z. 5 Solve 5*s - 7*s = 4 for s. -2 Solve 0 = -14*x + 9*x + 5 for x. 1 Solve 108*v - 125*v + 119 = 0 for v. 7 Solve -3*d - 628 = -637 for d. 3 Solve 0 = -36*f - 104 - 4 for f. -3 Solve -37*u - 216 = 43 for u. -7 Solve -39*n = -26*n + 104 for n. -8 Solve 44 = -q - 10*q for q. -4 Solve 0 = -35*u + 33*u + 10 for u. 5 Solve -2021*v + 2028*v - 14 = 0 for v. 2 Solve 4 = -2*p - 4 for p. -4 Solve 0 = -89*u + 82*u - 7 for u. -1 Solve -4*s + 1555 = 1587 for s. -8 Solve -71 = -22*j - 115 for j. -2 Solve -639*n = -637*n + 6 for n. -3 Solve 23 = 4*j + 39 for j. -4 Solve -10*i = -5*i - i for i. 0 Solve -2*c = 3*c - 15 for c. 3 Solve 16*h = 15*h - 3 for h. -3 Solve 0 = 3*b - 45 + 42 for b. 1 Solve -14*k = 5*k + 19 for k. -1 Solve 0 = 41*z - 38*z for z. 0 Solve 38*b - 45*b = 49 for b. -7 Solve 9*s + 5 = 14*s for s. 1 Solve -29*x + 63 = -38*x for x. -7 Solve -34*u + 76*u = 0 for u. 0 Solve f - 95 = 20*f for f. -5 Solve 10 = -0*l + 2*l for l. 5 Solve 0 = 29*p - 10*p - 19 for p. 1 Solve 0 = 4*z - 19 + 19 for z. 0 Solve -45*d = -7*d + 228 for d. -6 Solve 8*r = -3*r - 33 for r. -3 Solve -7*h - 15 + 22 = 0 for h. 1 Solve -2*c = c - 9 for c. 3 Solve 194 = p + 197 for p. -3 Solve 0 = 14*y - 21*y - 14 for y. -2 Solve -4191*p = -4186*p + 20 for p. -4 Solve 12*g = 17 + 43 for g. 5 Solve 19*c = 12*c - 7 for c. -1 Solve 0 = 14*n - 41 + 41 for n. 0 Solve -2*c + 6 = -4*c for c. -3 Solve 26*w - 25*w = -4 for w. -4 Solve -19*m = -6*m + 104 for m. -8 Solve 19*v + 30 = -46 for v. -4 Solve v + 3*v = 8 for v. 2 Solve 0 = 8*s + 8 + 8 for s. -2 Solve 71*n - 67*n = 4 for n. 1 Solve -14 = 4*q - 30 for q. 4 Solve -2*v - 17 = -7 for v. -5 Solve 17*b - 18 = 8*b for b. 2 Solve 90 = 17*a + 22 for a. 4 Solve 11*c - 60 = -c for c. 5 Solve 35 + 9 = -44*x for x. -1 Solve -3*j - 5*j = -24 for j. 3 Solve 12 - 3 = -n for n. -9 Solve -95*m - 20 = -685 for m. 7 Solve 0 = -0*k + 3*k + 15 for k. -5 Solve -8*i + 68 = 36 for i. 4 Solve 2*h - 7 = -1 for h. 3 Solve 8*j - 7*j - 6 = 0 for j. 6 Solve -88*w - 22 = 66 for w. -1 Solve 16*n + 27 = 7*n for n. -3 Solve 2*p + 37 = 47 for p. 5 Solve 0 = 3*m + 857 - 848 for m. -3 Solve 4*i - 7 = 17 for i. 6 Solve 21*m - 31*m - 20 = 0 for m. -2 Solve 12*c = 9*c + 3 for c. 1 Solve -74 = -3*g - 47 for g. 9 Solve -109*w + 83*w = -156 for w. 6 Solve -7*y + 6*y - 6*y = 0 for y. 0 Solve 13*s - 11 = 2 for s. 1 Solve 31*z = 58*z - 27 for z. 1 Solve 12*v + 13 + 23 = 0 for v. -3 Solve 16*c = 25*c for c. 0 Solve 10*m + 2 = -18 for m. -2 Solve 5 = -t + 7 for t. 2 Solve 16*n - 162 + 114 = 0 for n. 3 Solve 38 - 41 = -3*w for w. 1 Solve -17*n + 0 + 17 = 0 for n. 1 Solve 44*t = 45*t - 3 for t. 3 Solve -66*i - 173 - 223 = 0 for i. -6 Solve -148*m - 78 = -161*m for m. 6 Solve -4*m - m = -10 for m. 2 Solve 27*u + 60 = 15*u for u. -5 Solve 23*k + 32 = 9 for k. -1 Solve -9*f = 12*f + 126 for f. -6 Solve -6 = -14*q + 8*q for q. 1 Solve -35*u + 31 + 144 = 0 for u. 5 Solve -2*p = 2*p - 7*p for p. 0 Solve -44*f - 3*f = -376 for f. 8 Solve -240 = 11*a - 35*a for a. 10 Solve -10*f - 49 = -3*f for f. -7 Solve -12*f + 55 = -f for f. 5 Solve 0 = 6*a + 13 + 11 for a. -4 Solve 1050*h - 1046*h = -12 for h. -3 Solve 329 - 309 = -4*r for r. -5 Solve 0 = -l - 126 + 124 for l. -2 Solve 3145*v - 3140*v - 10 = 0 for v. 2 Solve 12*c - 3*c = 0 for c. 0 Solve -412 = 9*y - 430 for y. 2 Solve 3 + 11 = 14*s for s. 1 Solve 3 - 3 = -6*y for y. 0 Solve 0 = 6*j + 3*j - 27 for j. 3 Solve -13*y - 34 + 8 = 0 for y. -2 Solve 0 = -45*s + 30*s - 105 for s. -7 Solve -21 = 1806*y - 1813*y for y. 3 Solve 0 = 2*g - 10*g for g. 0 Solve 0 = r - 2*r - 0*r for r. 0 Solve 11*j = 17*j + 12 for j. -2 Solve 19*x + 29*x = -336 for x. -7 Solve -9*i = -16 - 29 for i. 5 Solve -8*h = -189 + 213 for h. -3 Solve 192 = 18*n + 120 for n. 4 Solve 14 = 6*p + 2 for p. 2 Solve 46*s - 73 = 157 for s. 5 Solve 57*y - 52*y - 25 = 0 for y. 5 Solve 0 = -221*m + 217*m - 8 for m. -2 Solve -13*f + 7*f = -12 for f. 2 Solve -11099*w + 11094*w = 0 for w. 0 Solve -51 = -18*z - 195 for z. -8 Solve -226*k = -229*k + 12 for k. 4 Solve 16*p = -81 + 1 for p. -5 Solve -3*d = -8*d + 10 for d. 2 Solve 48*m = 52*m + 4 for m. -1 Solve 32 = 16*u + 80 for u. -3 Solve 0 = 63*d + 12*d - 375 for d. 5 Solve -4*z - 11*z = 60 for z. -4 Solve -7*g + 39 = 4 for g. 5 Solve -11*w - 7*w = 54 for w. -3 Solve x - 2*x = 12*x for x. 0 Solve 28*b = -19 - 177 for b. -7 Solve 19 - 6 = 13*g for g. 1 Solve -37*b - 40 = -114 for b. 2 Solve -22*h - 43 = 67 for h. -5 Solve -199 = 40*j - 559 for j. 9 Solve 8*u + 0 = 8 for u. 1 Solve -46*k + 15 = -49*k for k. -5 Solve -d + 15 = 17 for d. -2 Solve 29*j - 26*j = -9 for j. -3 Solve 2 = 5*j + 17 for j. -3 Solve 41*z + 121 = 326 for z. 5 Solve 2*b + 3*b - 20 = 0 for b. 4 Solve 71 = -52*f - 33 for f. -2 Solve 7 = 8*x + 7 for x. 0 Solve 0 = x + 16 - 17 for x. 1 Solve -10*h + 0 = -30 for h. 3 Solve 347 - 475 = 16*y for y. -8 Solve 0 = 80*n - 74*n for n. 0 Solve 5*y = -89 + 94 for y. 1 Solve 0 = -13*g + 7*g - 12 for g. -2 Solve -91*f - 108 = -64*f for f. -4 Solve -33 + 23 = 2*p for p. -5 Solve -292 - 298 = 118*i for i. -5 Solve -25*a + 240 = -73*a for a. -5 Solve 100 = -4*z + 24*z for z. 5 Solve 10*r - 164 = -234 for r. -7 Solve 7*b = 41*b + 102 for b. -3 Solve -9*k + 30 - 3 = 0 for k. 3 Solve -16*f = 21 - 117 for f. 6 Solve -q = -2086 + 2087 for q. -1 Solve 8*u = 42 - 18 for u. 3 Solve 8*k + 84 = 92 for k. 1 Solve 5*v + 3 = 8*v for v. 1 Solve 29*j = -1011 + 808 for j. -7 Solve 17*n - 36*n + 76 = 0 for n. 4 Solve 60*z - 237 = 63 for z. 5 Solve 6*t - 15 + 21 = 0 for t. -1 Solve -7*j + 17*j + 20 = 0 for j. -2 Solve -36 + 12 = 12*c for c. -2 Solve -9 = 57*s - 54*s for s. -3 Solve 48*l + 3 = -93 for l. -2 Solve -12*p = -5*p + 35 for p. -5 Solve -178*z - 203 = -207*z for z. 7 Solve 319 = 15*a + 334 for a. -1 Solve 269 - 178 = 13*v for v. 7 Solve -5*d = -0 + 5 for d. -1 Solve -14 = 44*l - 51*l for l. 2 Solve -4 = -10*o + 14*o for o. -1 Solve 96*c - 99*c - 15 = 0 for c. -5 Solve -23*l + 70*l + 282 = 0 for l. -6 Solve -2*n = -25 + 21 for n. 2 Solve 13*h = -8 - 31 for h. -3 Solve -9*r - 11 - 34 = 0 for r. -5 Solve -24*c + 54 = -6*c for c. 3 Solve 26 = 11*v + 15 for v. 1 Solve 55*n - 52*n - 3 = 0 for n. 1 Solve 0 = -6*d + 30*d for d. 0 Solve 86*a = 75*a + 55 for a. 5 Solve 459 + 261 = 90*z for z. 8 Solve 6*b - 56 = -68 for b. -2 Solve 2*g - 11 = -13 for g. -1 Solve 8 = 16*d - 18*d for d. -4 Solve 0 = 9*y - 2 - 16 for y. 2 Solve -11*y - 852 = -775 for y. -7 Solve -8*r = 176 - 160 for r. -2 Solve 0 = 13*j - 22*j + 63 for j. 7 Solve 8 + 6 = -7*t for t. -2 Solve -5*u + 7 = 22 for u. -3 Solve 0 = 10*c + 5*c - 90 for c. 6 Solve 34*a = -6*a for a. 0 Solve -6*k - 33 = 3 for k. -6 Solve 486 - 552 = -11*v for v. 6 Solve -16*h - 9 = -89 for h. 5 Solve 0 = 62*d - 262 - 48 for d. 5 Solve -16*j - 507 = -379 for j. -8 Solve -21*l - 105 = 14*l for l. -3 Solve -49*f - 15*f + 128 = 0 for f. 2 Solve 0*h + 2 = h for h. 2 Solve -8*n + 3 = -11*n for n. -1 Solve -14*m + 43*m = -29 for m. -1 Solve 3*a - 125 = -116 for a. 3 Solve 302 = -10*l + 262 for l. -4 Solve -56 = 1132*f - 1124*f for f. -7 Solve 11*d + 452 = 386 for d. -6 Solve -2 = 2*b - 12 for b. 5 Solve 2*x = 13*x + 9*x for x. 0 Solve -8*y - 96 = 24*y for y. -3 Solve -3*r - 14 = -2 for r. -4 Solve -57*h = 90 -
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from mmqmmqmmmmq? 28/55 Calculate prob of picking 1 z and 2 l when three letters picked without replacement from {m: 6, g: 3, l: 3, z: 2, w: 2, t: 2}. 1/136 Calculate prob of picking 4 n when four letters picked without replacement from {r: 5, n: 5}. 1/42 Four letters picked without replacement from {i: 1, q: 2, k: 7, l: 1, z: 5}. What is prob of picking 1 i, 1 k, and 2 z? 1/26 Two letters picked without replacement from whhwwhhhwhhhhw. What is prob of picking 2 w? 10/91 Three letters picked without replacement from {s: 2, i: 1, u: 5, d: 2, j: 4, p: 1}. What is prob of picking 1 p, 1 j, and 1 d? 8/455 Two letters picked without replacement from {v: 11, d: 1, q: 4, y: 1, t: 2}. What is prob of picking 1 y and 1 d? 1/171 Calculate prob of picking 1 m and 2 t when three letters picked without replacement from mfmmmttt. 3/14 Calculate prob of picking 2 f when two letters picked without replacement from ggfgfgfg. 3/28 Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {p: 1, l: 2, x: 2, n: 2, g: 1, w: 4}. 2/33 Two letters picked without replacement from {q: 6, v: 6, j: 1, o: 5}. Give prob of picking 2 o. 10/153 What is prob of picking 1 v and 1 s when two letters picked without replacement from {p: 1, d: 3, f: 2, v: 1, s: 3}? 1/15 Four letters picked without replacement from hhhhhlhhhhhl. Give prob of picking 3 h and 1 l. 16/33 Four letters picked without replacement from {z: 4, n: 6, g: 3}. What is prob of picking 1 z, 1 g, and 2 n? 36/143 Three letters picked without replacement from {o: 3, e: 4, n: 2, a: 1}. Give prob of picking 1 n, 1 e, and 1 a. 1/15 Two letters picked without replacement from {y: 4, t: 7, r: 3}. What is prob of picking 1 t and 1 y? 4/13 Four letters picked without replacement from nununnnnnnznnunzxznn. Give prob of picking 1 x and 3 n. 286/4845 Four letters picked without replacement from {k: 1, u: 1, m: 2, c: 1}. What is prob of picking 1 u, 1 k, and 2 m? 1/5 What is prob of picking 2 f and 1 l when three letters picked without replacement from lhhjjjjjfjjllfjlf? 3/170 Four letters picked without replacement from xdgddkdgdkddgkwxk. Give prob of picking 4 d. 1/68 Calculate prob of picking 2 n and 1 m when three letters picked without replacement from unnfnuffonumfnn. 3/91 Two letters picked without replacement from {o: 5, m: 10, k: 3, t: 2}. Give prob of picking 1 m and 1 k. 3/19 Three letters picked without replacement from uufeiieiuze. Give prob of picking 1 f and 2 u. 1/55 Two letters picked without replacement from {w: 9, z: 7, n: 3}. Give prob of picking 1 n and 1 w. 3/19 What is prob of picking 2 y and 1 n when three letters picked without replacement from {y: 9, j: 1, g: 2, n: 1}? 18/143 Two letters picked without replacement from {u: 1, g: 10, q: 9}. Give prob of picking 1 g and 1 q. 9/19 Three letters picked without replacement from {b: 5, p: 2, j: 3}. What is prob of picking 1 p and 2 j? 1/20 What is prob of picking 1 a and 1 x when two letters picked without replacement from {a: 4, h: 4, x: 1, g: 6}? 4/105 Four letters picked without replacement from {d: 5, j: 14}. What is prob of picking 4 d? 5/3876 Calculate prob of picking 1 y, 1 e, 1 t, and 1 b when four letters picked without replacement from {e: 3, n: 2, b: 1, i: 3, t: 2, y: 7}. 7/510 What is prob of picking 1 s, 2 p, and 1 o when four letters picked without replacement from {m: 2, y: 2, p: 2, s: 3, o: 4, e: 2}? 4/455 Four letters picked without replacement from xssxsxss. Give prob of picking 4 s. 1/14 What is prob of picking 1 d, 2 x, and 1 z when four letters picked without replacement from xyxxxyzdxdxdzyxx? 6/65 Two letters picked without replacement from {f: 1, t: 1, c: 1, p: 1, g: 1}. What is prob of picking 2 g? 0 Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wsswsssss. 7/18 Four letters picked without replacement from {o: 3, u: 2, n: 15}. What is prob of picking 1 u and 3 n? 182/969 Three letters picked without replacement from {e: 7, f: 2}. What is prob of picking 3 e? 5/12 What is prob of picking 1 c and 1 j when two letters picked without replacement from {n: 1, c: 1, z: 6, o: 3, j: 1, l: 1}? 1/78 What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 3, u: 5, k: 2, v: 1, o: 1}? 5/22 Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, y: 1, x: 5, z: 2, u: 2}. 6/91 Two letters picked without replacement from nkknknkknnkkkk. Give prob of picking 2 n. 10/91 Calculate prob of picking 1 n and 1 k when two letters picked without replacement from kkyn. 1/3 Three letters picked without replacement from yziwfigiwzzgw. Give prob of picking 1 i, 1 g, and 1 y. 3/143 Two letters picked without replacement from sdyyzyftttysytd. Give prob of picking 1 y and 1 z. 1/21 Calculate prob of picking 1 y and 3 l when four letters picked without replacement from {c: 2, y: 4, l: 3}. 2/63 Three letters picked without replacement from dttvtatzltdd. What is prob of picking 3 d? 1/220 Calculate prob of picking 2 d and 1 y when three letters picked without replacement from doddiya. 3/35 Three letters picked without replacement from wuwwwwuwwhwvw. Give prob of picking 1 v, 1 u, and 1 h. 1/143 Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, a: 3, f: 2, q: 8}. 3/68 Two letters picked without replacement from {d: 1, v: 2, j: 4}. What is prob of picking 1 v and 1 d? 2/21 Three letters picked without replacement from {w: 2, t: 4, q: 2, m: 1, p: 1}. What is prob of picking 1 p and 2 t? 1/20 Two letters picked without replacement from {g: 3, k: 4, m: 2}. What is prob of picking 1 g and 1 m? 1/6 Calculate prob of picking 1 v and 2 t when three letters picked without replacement from {t: 1, o: 1, l: 7, v: 9}. 0 Four letters picked without replacement from {i: 1, j: 2, x: 3, r: 1, f: 3}. Give prob of picking 1 f, 1 r, 1 x, and 1 j. 3/35 Four letters picked without replacement from mmsmmmsmmmmmm. Give prob of picking 2 m and 2 s. 1/13 Calculate prob of picking 2 s and 2 e when four letters picked without replacement from eeeseeeeeeeeseeeeee. 2/57 Four letters picked without replacement from tttt. What is prob of picking 4 t? 1 Four letters picked without replacement from kkkkkk. Give prob of picking 4 k. 1 Three letters picked without replacement from orkoggookwrg. What is prob of picking 2 o and 1 w? 3/110 What is prob of picking 3 j when three letters picked without replacement from ujjujju? 4/35 Two letters picked without replacement from {u: 6, x: 2}. Give prob of picking 2 x. 1/28 Four letters picked without replacement from vvvddddd. What is prob of picking 4 d? 1/14 What is prob of picking 1 q and 1 r when two letters picked without replacement from {t: 5, y: 1, r: 3, q: 2, g: 8, z: 1}? 3/95 Calculate prob of picking 1 a and 1 n when two letters picked without replacement from aaaaaaannnnaan. 45/91 Three letters picked without replacement from iioowwwwwwwxwowwwww. Give prob of picking 1 x and 2 o. 1/323 Four letters picked without replacement from {e: 5, s: 5, t: 5, k: 1}. Give prob of picking 1 k and 3 t. 1/182 Calculate prob of picking 1 e and 1 c when two letters picked without replacement from eeceeeeeeeeeeeeeeee. 2/19 What is prob of picking 2 h when two letters picked without replacement from {h: 1, v: 2, t: 1, y: 1, l: 1, g: 1}? 0 Two letters picked without replacement from xtxfimfxxhixm. What is prob of picking 1 h and 1 m? 1/39 Two letters picked without replacement from {k: 10}. Give prob of picking 2 k. 1 What is prob of picking 1 v and 1 l when two letters picked without replacement from {l: 7, v: 5}? 35/66 Two letters picked without replacement from urrurrrrrr. What is prob of picking 1 u and 1 r? 16/45 Three letters picked without replacement from qhichhcccc. Give prob of picking 3 c. 1/12 Four letters picked without replacement from kdddkddkkddkkkdd. Give prob of picking 4 k. 1/52 What is prob of picking 1 t, 1 k, and 1 i when three letters picked without replacement from {t: 2, b: 1, k: 1, i: 1}? 1/5 Two letters picked without replacement from {r: 1, m: 2, z: 6, y: 2, g: 1}. Give prob of picking 1 z and 1 y. 2/11 Calculate prob of picking 4 m when four
{ "pile_set_name": "DM Mathematics" }
hout replacement from xxqjxjxxq. 5/63 Three letters picked without replacement from {y: 4, s: 2, d: 3, m: 1, q: 1, p: 1}. What is prob of sequence yqs? 1/165 Calculate prob of sequence oacg when four letters picked without replacement from {x: 1, o: 2, g: 2, c: 1, l: 2, a: 1}. 1/756 What is prob of sequence dnug when four letters picked without replacement from {x: 2, d: 2, g: 2, u: 1, n: 1, z: 1}? 1/756 Three letters picked without replacement from {e: 6, c: 4, d: 1, k: 1, o: 2, z: 1}. What is prob of sequence dkd? 0 Two letters picked without replacement from bbbhhhb. Give prob of sequence hh. 1/7 Calculate prob of sequence vu when two letters picked without replacement from {i: 4, u: 6, v: 1}. 3/55 Two letters picked without replacement from {q: 1, h: 4, m: 3}. Give prob of sequence hq. 1/14 Three letters picked without replacement from unuuunnnuuunk. What is prob of sequence ukk? 0 What is prob of sequence xxqx when four letters picked without replacement from oxjwxjoooxocq? 1/2860 Calculate prob of sequence pnmu when four letters picked without replacement from pjmunjpxu. 1/756 Calculate prob of sequence sp when two letters picked without replacement from {g: 1, s: 3, p: 5}. 5/24 Two letters picked without replacement from uuppuguggggpgguuup. What is prob of sequence gu? 49/306 Four letters picked without replacement from {l: 6, y: 2, s: 1, h: 3, f: 6}. What is prob of sequence lhsh? 1/2040 Two letters picked without replacement from bptttdppatpnp. What is prob of sequence ta? 1/39 What is prob of sequence gnq when three letters picked without replacement from frqnrnbbrgrgbngrr? 3/1360 Three letters picked without replacement from {l: 1, p: 4, t: 1, m: 2, y: 1}. What is prob of sequence yml? 1/252 What is prob of sequence vfx when three letters picked without replacement from {v: 7, x: 2, f: 2}? 14/495 What is prob of sequence ke when two letters picked without replacement from jlgljgekjgg? 1/110 What is prob of sequence xzz when three letters picked without replacement from {z: 4, x: 2}? 1/5 What is prob of sequence el when two letters picked without replacement from orleelrleeelollele? 49/306 What is prob of sequence us when two letters picked without replacement from suseesessussu? 7/52 Two letters picked without replacement from llygcyp. Give prob of sequence gy. 1/21 Calculate prob of sequence fmff when four letters picked without replacement from {m: 2, f: 6}. 1/7 Three letters picked without replacement from rrryghyrdggdayryrrag. Give prob of sequence yhd. 1/855 Three letters picked without replacement from {x: 8, k: 2, y: 2, e: 2, o: 1}. Give prob of sequence xke. 16/1365 Calculate prob of sequence vqv when three letters picked without replacement from {q: 3, v: 5, b: 4}. 1/22 Calculate prob of sequence kvb when three letters picked without replacement from rbikv. 1/60 Calculate prob of sequence llll when four letters picked without replacement from jljjjljjljl. 1/330 Four letters picked without replacement from {x: 3, j: 2, n: 1, q: 1}. What is prob of sequence xjxn? 1/70 What is prob of sequence hhu when three letters picked without replacement from uhhluluuuhl? 1/33 What is prob of sequence qkx when three letters picked without replacement from {q: 1, x: 1, n: 1, r: 1, k: 1}? 1/60 What is prob of sequence hajj when four letters picked without replacement from {h: 1, a: 1, v: 1, j: 2}? 1/60 Four letters picked without replacement from {x: 3, s: 5, l: 2, f: 5}. What is prob of sequence fxfl? 1/273 Three letters picked without replacement from {j: 1, c: 1, y: 1, r: 1, s: 1}. Give prob of sequence ssj. 0 Two letters picked without replacement from {f: 4, x: 1, t: 7, l: 1}. Give prob of sequence fx. 1/39 What is prob of sequence gp when two letters picked without replacement from {g: 1, p: 2, r: 2}? 1/10 Calculate prob of sequence fi when two letters picked without replacement from fffifioolbfflll. 2/35 Four letters picked without replacement from {k: 11, y: 1}. What is prob of sequence kykk? 1/12 Two letters picked without replacement from mrerrvdrdm. What is prob of sequence mm? 1/45 Calculate prob of sequence brb when three letters picked without replacement from rbrbs. 1/15 What is prob of sequence ccc when three letters picked without replacement from qccccq? 1/5 Two letters picked without replacement from yyybyyiyibiyyiiryyry. Give prob of sequence ri. 1/38 What is prob of sequence ol when two letters picked without replacement from {l: 1, t: 1, j: 1, u: 1, o: 2, z: 1}? 1/21 Calculate prob of sequence xxej when four letters picked without replacement from {j: 4, x: 10, e: 6}. 6/323 Two letters picked without replacement from xxzxzzxxxxx. What is prob of sequence xx? 28/55 Three letters picked without replacement from {z: 1, h: 3, l: 1, x: 2}. Give prob of sequence lxh. 1/35 Two letters picked without replacement from {f: 12, t: 7}. Give prob of sequence tt. 7/57 Calculate prob of sequence bv when two letters picked without replacement from {v: 1, b: 1, q: 2}. 1/12 Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhh. 1 Four letters picked without replacement from {f: 5, s: 1, u: 4, n: 2, z: 2}. What is prob of sequence nzfz? 5/6006 Three letters picked without replacement from djjdjdjdkjkiojkjki. What is prob of sequence okd? 1/306 Three letters picked without replacement from {j: 3}. What is prob of sequence jjj? 1 What is prob of sequence jeee when four letters picked without replacement from {e: 5, j: 4, m: 1}? 1/21 Calculate prob of sequence gbcb when four letters picked without replacement from {c: 4, b: 6, g: 2}. 2/99 Two letters picked without replacement from {n: 3, e: 1, k: 9, h: 2, l: 2}. What is prob of sequence nh? 3/136 Three letters picked without replacement from {s: 3, m: 2, e: 1, d: 5, r: 1, b: 1}. Give prob of sequence bsm. 1/286 What is prob of sequence ssss when four letters picked without replacement from {s: 8, l: 2}? 1/3 Three letters picked without replacement from {t: 2, s: 4, c: 4}. Give prob of sequence tts. 1/90 Calculate prob of sequence yu when two letters picked without replacement from {v: 5, u: 2, y: 5}. 5/66 Calculate prob of sequence fw when two letters picked without replacement from fffffffffwfffwffff. 16/153 Two letters picked without replacement from {q: 1, s: 1, k: 1}. Give prob of sequence qs. 1/6 Two letters picked without replacement from {i: 5, x: 4, o: 1, z: 1}. Give prob of sequence iz. 1/22 Two letters picked without replacement from yyryreyzyeyzrbe. What is prob of sequence re? 3/70 What is prob of sequence zc when two letters picked without replacement from cccjczczmzuz? 5/33 Two letters picked without replacement from mrmxgaxpg. What is prob of sequence ap? 1/72 Three letters picked without replacement from zwecclv. What is prob of sequence wlz? 1/210 Two letters picked without replacement from {r: 2, t: 1, o: 1}. What is prob of sequence or? 1/6 Calculate prob of sequence zq when two letters picked without replacement from blqllzlzlqlb. 1/33 Calculate prob of sequence hjzz when four letters picked without replacement from jhtzzhhtth. 1/630 What is prob of sequence wq when two letters picked without replacement from {g: 1, x: 1, q: 2, n: 5, w: 1}? 1/45 Four letters picked without replacement from {s: 1, b: 2, d: 9, p: 2}. Give prob of sequence dsdp. 6/1001 Calculate prob of sequence fl when two letters picked without replacement from {f: 3, q: 2, i: 6, o: 1, l: 5}. 15/272 Calculate prob of sequence inf when three letters picked without replacement from {w: 2, n: 3, f: 1, i: 5, r: 7, o: 2}. 1/456 What is prob of sequence pop when three letters picked without replacement from ooopoppppo? 5/36 What is prob of sequence qhf when three letters picked without replacement from {f: 1, w: 1, h: 1, q: 1, d: 1}? 1/60 Three letters picked without replacement from {k: 7, y: 7}. Give prob of sequence kkk. 5/52 What is prob of sequence ok when two letters picked without replacement from iiioxiiykiyiiyyiii? 1/306 What is prob of sequence fg when two letters picked without replacement from {s: 1, f: 6, v: 1, g: 1, d: 3, q: 1}? 1/26 What is prob of sequence wwi when three letters picked without replacement from cibiiiiwiwiib? 4/429 Three letters picked wi
{ "pile_set_name": "DM Mathematics" }
7*d**2 as k + p*d**3 + g*d**2 + w*d and give w. 1 Rearrange 27 + 0*i**2 - 2*i**2 + 1362*i - 1341*i to the form f*i**2 + u + b*i and give b. 21 Rearrange (-4*m + 2*m - 4*m)*(3*m - 4*m + 4*m)*(222*m**2 - 6 - 225*m**2 - 44) to the form g + x*m**4 + j*m**3 + t*m + y*m**2 and give j. 0 Express -2366*r - 6086*r - 10166*r - 5947*r + 1857*r as z + g*r and give g. -22708 Express -q - 4*q - 3*q + (10 - 4 + 5)*(1 - 1 - 2*q) - 174*q + 360*q - 113*q as x*q + m and give x. 43 Rearrange (-x - 3 + 3)*(-3 + 3 + 2) - x - 12*x - 4*x + (x + 0 + 0)*(4 - 2 - 1) - 67751 - 895*x + 67751 to q + p*x and give p. -913 Express -891*f**3 + 17 + 23 + 887*f**3 - 91*f**2 + 89*f**2 in the form a*f**3 + k + u*f**2 + o*f and give u. -2 Express (27405*f - 27400*f + 53 + 7)*(5 + 1 - 5 - f**2) in the form n*f**2 + g*f**3 + v*f + j and give g. -5 Express -94*h**2 + h**4 + 3*h**3 + 487*h + 541*h - 1028*h in the form w*h**3 + i*h + m + q*h**2 + b*h**4 and give b. 1 Rearrange (-2*u + u - 3*u)*(-61*u - 55*u + 102*u) + 175*u - 10*u**2 - 175*u to v*u + z*u**2 + l and give z. 46 Express -67*z + 379 - 66*z + 140*z as l + x*z and give l. 379 Express 6763*x + 1746*x + 1386*x as j*x + o and give j. 9895 Rearrange (-1140*c + 437*c - 319*c)*(-277 - 31*c + 277) to y + z*c + o*c**2 and give o. 31682 Express 119 - 1436*x - 233 + 114 - 710*x as o*x + p and give o. -2146 Express (-158*h + 969*h - 52*h)*(8 + h - 4 + 1) in the form c*h + f*h**2 + v and give f. 759 Rearrange 47083*b**4 - 7*b - 47081*b**4 + 2*b**2 - 11*b + 0*b**3 - 3*b**3 to the form a*b**3 + m*b + g*b**4 + v + r*b**2 and give g. 2 Rearrange 1 + 3*q**3 + 2*q**2 - 10*q - 212*q**4 + 114*q**4 + 96*q**4 to y + i*q**4 + f*q**3 + h*q**2 + c*q and give c. -10 Express (2 + 17 - 3 + (12 + 4 - 1)*(4 - 3 - 2))*(1 - 1 + 2*g**4) as k*g**4 + f*g + v*g**3 + r + a*g**2 and give k. 2 Express (5*y - 3*y - 11*y + (4 - 1 - 1)*(-4*y - 8*y + y))*(-447*y + 450*y - 1 + 0) as b*y**2 + u*y + q and give u. 31 Rearrange -6*z - 130*z**2 + z**4 - 7 + 2*z + 66*z**2 - 4*z**3 + 63*z**2 to the form v*z + u*z**2 + s*z**3 + y + w*z**4 and give u. -1 Express (1913*n + 626*n - 40 - 347*n + 42)*(-n - 5*n**3 - 6*n**2 + 6*n**2) as s*n + u*n**3 + f*n**2 + p + l*n**4 and give l. -10960 Express (305*x + 1618*x - 6 + 623*x - 498*x)*(2 + 0 + 0 + x) as u*x + j + m*x**2 and give m. 2048 Express 2*p**3 + 2*p**2 - 2*p**2 + (9 + 14 - 10)*(81607*p + 1093*p**3 - 81607*p) as q*p**3 + s + j*p + t*p**2 and give q. 14211 Express 38945*n**2 - 38945*n**2 - n**4 - 822*n**3 + 14*n - 15*n as o*n**2 + d + s*n**3 + l*n**4 + j*n and give o. 0 Rearrange -139*c**2 + 951*c**4 + 120*c**2 + 2*c - 969*c**4 + 2 to the form n*c + x*c**3 + w + a*c**4 + k*c**2 and give a. -18 Express -11111*z - 7115*z - 8135*z + 1202*z + 2259*z in the form k*z + v and give k. -22900 Rearrange 3 - 130*m - 5 + 35*m + 35*m - 302*m**2 + 57*m to i*m**2 + f*m + n and give i. -302 Express -12*d - 261 + 261 + 45*d - 13*d + 29*d + (-3 - 1 + 5)*(-4*d + 0*d + 3*d) as v + b*d and give b. 48 Rearrange 2*r**4 + 74393*r**2 + r**3 - r**4 - 75159*r**2 to the form k*r**4 + z*r**3 + m + p*r**2 + v*r and give z. 1 Rearrange 0 + 0 - 34513*k + 38608*k to the form x + g*k and give g. 4095 Rearrange 2187*a - 4966*a + 2291*a to s*a + n and give s. -488 Express (-284 + 284 + 7*x)*(-2 + 23 + 10) in the form t + i*x and give i. 217 Express 22 + 236*u**2 + 14*u**3 - 17*u**3 - 228*u**2 in the form x*u**3 + h*u**2 + j*u + c and give h. 8 Express 421093*n - 19*n**2 - 442*n**3 + 7*n**2 - 421093*n as i + y*n**3 + b*n**2 + f*n and give b. -12 Rearrange (-113 + 3 + 42 + 4 - 4 + 2 + 3 + 1 + 0 + (3 + 3 - 4)*(3 + 0 - 5))*(-5 - i + 5)*(-5 + 5 - 2*i) to the form c*i**2 + s + u*i and give c. -132 Rearrange (-6 + 3 + 1)*(-1475 + 393 + 685)*(-3*o**2 + 2*o**2 + 0*o**2) to the form h + n*o**2 + k*o and give n. -794 Express -5267*f + 2006*f - 2767*f - 6221*f - 6892*f + 411*f + (1 - 1 + 2)*(4*f - 4*f + 2*f) - 5*f + 3*f + 4*f in the form c + j*f and give j. -18724 Express ((-1 + 2 + 0)*(-7 - 4 - 4) + 214 - 403 + 70)*(-38 + 38 - 19*s**2) in the form x + v*s + u*s**2 and give u. 2546 Rearrange -2 - 36*i**3 + 2*i**2 + 4*i**4 + 20*i**3 + 79*i**3 + 6*i - 2*i - 3*i to h*i + c*i**2 + l*i**4 + f + y*i**3 and give l. 4 Rearrange (a + 7 - 7)*(-2 - a + 2)*(4 - 48 - 26)*(3 - 4*a - 4 + 2*a) to the form r + v*a**2 + p*a + q*a**3 and give q. -140 Express (-a + a + a)*(5 - 5 - a)*(-156 + 51 + 249 + 177 + 297) as c*a**2 + q*a + k and give q. 0 Rearrange 83*n**3 - 1168*n**2 + n + 976*n**2 + 2 - 86*n**3 to p*n + c*n**3 + r*n**2 + h and give c. -3 Rearrange -3*u**2 + 16*u**3 - 18*u**3 - 2 + 53*u**4 - 2*u - 44*u**4 to w + v*u**4 + m*u**2 + g*u**3 + j*u and give j. -2 Express -33*g**2 - 2135*g - 53*g + 31*g**2 + 2 in the form o*g**2 + h + q*g and give h. 2 Express (-540 - 434 + 433)*(-1 + 2 + 0)*(1 + 3*d - 1) in the form t + x*d and give t. 0 Express (-3052 - 4226 + 17469 + 15848 + 15376 - 701)*(0*s + 0*s - 2*s) in the form y + h*s and give h. -81428 Rearrange (-2006 + 158*p + 2006)*(-51*p - 45*p - 20*p - 15*p) to the form t + a*p**2 + w*p and give a. -20698 Express (-119 + 2*s - 3*s - 10)*(3*s + 2*s - 3*s)*(-6 + 1 + 1) in the form g + t*s + w*s**2 and give t. 1032 Express -31 - 268*w**2 - 36277*w + 36288*w - 4*w**3 + 31 in the form z*w + i*w**3 + q + a*w**2 and give z. 11 Express 329 + 741 + c + 408 - 114 - 240 + 2*c + c - 4*c + (1 - 5 + 2)*(c - c - c) as n*c + o and give o. 1124 Express 0 + 0 + 31784*d**2 - 23899*d**2 in the form x + y*d + s*d**2 and give s. 7885 Rearrange -50 - 184479*y**2 + 184479*y**2 - 123*y**3 to w*y**2 + j + v*y + t*y**3 and give j. -50 Express 6*b + 2*b - 4*b + (b + b + 6*b)*(-40 - 29 + 22) as q + j*b and give j. -372 Rearrange (190*z - 190*z + 68*z**2)*(66*z + 84*z + 37*z) to q*z**2 + g*z + d*z**3 + j and give d. 12716 Rearrange -r**2 - 2 + 8*r**3 - 2*r - 16*r**3 + 315*r**4 - 318*r**4 to the form d*r + s*r**3 + p*r**2 + t + z*r**4 and give t. -2 Express -2*x**2 + 48 - 20*x**3 - 2*x - 33 - 8 + 0*x + 3*x in the form s + g*x + n*x**3 + y*x**2 and give n. -20 Rearrange (40*k**2 - 20*k + 58*k - 39*k + 2)*(-14 + 148*k**2 - 142*k**2 + 5) to the form g*k + j*k**3 + b*k**4 + y*k**2 + z and give z. -18 Express 11 + 20 - 557*v - 10 - 9 - 11 as z*v + q and give q. 1 Express u**2 - 2*u**2 + 0*u**2 + (0 - 4 + 6)*(4*u - u - 2*u)*(-8496 + 8496 - 257*u) in the form h + c*u + t*u**2 and give t. -515 Express 1058*x - 187*x + 646*x + 2942*x in the form i + q*x and give i. 0 Express 21*c**2 + 349 - 791 + 370 + 8*c**2 - 2*c as z*c + j + h*c**2 and give z. -2 Express (1 + 1 - 3)*(-1218*p**4 - 13642*p**4 - 13051*p**4 - 7833*p**4 + 3527*p**4) as g*p**3 + v*p**4 + f + a*p + u*p**2 and give v. 32217 Express -292 + 290 - 223*u + 58*u in the form s*u + a and give s. -165 Rearrange 2*k - 4*k**4 + 19 + 2*k**2 + 44*k**3 + 37*k**3 - 2*k**2 - 86*k**3 to the form l + b*k**3 + o*k**4 + p*k**2 + u*k and give o. -4 Rearrange -2*z**2 - 3*z**4 - 163 + 4*z**2 - 4*z**4 + 173 - z + 3*z**4 to the form p*z + t*z**3 + b*z**4 + x*z**2 + w and give x. 2 Express (3942 + 1562 - 1426 + 249)*(-2*h + 3*h - 3*h)*(1 + 1 - 5) as m*h + o and give m. 25962 Express (-7 + 60 - 16*w - 8*w - 2*w)*(3 - 2 - 3) as z + l*w and give z. -106 Express (1 - 1 - o)*(16*o**2 - 1 - 3 + 2 - 13*o**2 + 2 - 2 + (26 - 14 - 17)*(3*o**2 - 5*o**2 + 0*o**2)) in the form w*o**3 + n + v*o**2 + y*o and give y. 2 Rearrange 0*x + 15749*x**2 + 0*x - 2099 + 2101 to c*x + f*x**2 + t and give t. 2 Rearrange -25 + 2*f**2 + 9988*f**4 - 19972*f**4 - f**3 - 164*f + 9982*f**4 to v*f**4 + i*f + s + j*f**2 + u*f**3 and give j. 2 Express u**4 - u - 8 - 13005*u**2 + 0 + 13027*u**2 in the form f*u**3 + z + t*u**2 + k*u**4 + i*u and give i. -1 Rearrange (1 + 56 + 134)*(-6 - 54 + 11)*(-2*r + 4 - 4) to t*r + a and give t. 18718 Express 58*y - 543*y**2 + 1073*y**2 - 534*y**2 + 80*y in the form q*y**2 + v*y + d and give v. 138 Rearrange 2*s - 19634*s**2 - 206 + 624 - 213 - 205 to i + z*s + o*s**2 and give z. 2 Rearrange 155 + 193*d**3 - 9*d**4 - 80 - 198*d**3 + 3*d**2 + 2*d - 74 to v*d**3 + h*d**2 + n*d + y + u*d**4 and give u. -9 Express -857*l - 27571*l + 13679 - 13679 in the form y*l + d and give y. -28428 Rearrange 237*h + 244*h + 235*h - 1 + 9 - 721*h to the form k*h + z and give k. -5 Rearrange (-87*f + 186*f + 1 - 1498*f)*(2*f - 17*f - 2*f) + 2*f**2 - 2*f**2 + f**
{ "pile_set_name": "DM Mathematics" }
in -275/113, -4, -2/5? -275/113 What is the third smallest value in 38, 1/2, 3, -0.4, 0.4, 165? 1/2 What is the smallest value in -2/7, -4, 4, 13, -0.3, -20? -20 Which is the second smallest value? (a) -4 (b) -30 (c) 0.1302 a Which is the fourth smallest value? (a) -1/2 (b) -7 (c) -29 (d) 3 d Which is the sixth smallest value? (a) -3/2 (b) -7/6 (c) -114 (d) 2/13 (e) -0.2 (f) 0.039 d Which is the second biggest value? (a) -874 (b) -9/10 (c) -10 c Which is the third smallest value? (a) -0.2 (b) 0.4 (c) 6851 c Which is the fourth biggest value? (a) -1 (b) 5 (c) -1/11 (d) 464 a What is the third smallest value in 0.4, -8/15, -1, 5, -0.1, -22? -8/15 What is the second biggest value in -2/9, -1/251, -10, -0.5? -2/9 What is the fifth biggest value in -2/19, 0.5, -42/13, -2/9, 4/3? -42/13 What is the second smallest value in 2, -324.65, -6? -6 Which is the smallest value? (a) 3/2098 (b) -5 (c) 0.2 (d) 0.04 (e) -0.5 b What is the smallest value in 0.063, -9, 15, 2/3, -0.2? -9 Which is the second smallest value? (a) -8 (b) -19 (c) 19 (d) 5 (e) 0.5 a Which is the third smallest value? (a) -164.6 (b) -1 (c) 0.2 (d) -0.5 (e) -4 b Which is the third biggest value? (a) 11 (b) 4 (c) -2/9 (d) -2 (e) 0.08 e Which is the biggest value? (a) 6 (b) -4501 (c) 0.12 a Which is the smallest value? (a) 10 (b) -72500 (c) 0.3 b Which is the second biggest value? (a) 2.76 (b) 5 (c) 1/2 (d) -17 (e) 6/7 a What is the fourth biggest value in 0.2, -3, 0, -0.08, 290? -0.08 Which is the fourth smallest value? (a) 2.2 (b) -2/3 (c) 1/2 (d) 3 (e) -1.3 a Which is the second smallest value? (a) -869 (b) 2/13 (c) -2 (d) -7 d What is the fourth biggest value in 4, 134, 27/2, -0.67, -3, 2? 2 What is the second smallest value in 168, 9/2, 1/3? 9/2 Which is the smallest value? (a) 1 (b) -0.006 (c) -2 (d) -7/5 c Which is the fifth smallest value? (a) -419 (b) -2 (c) 1/4 (d) 3 (e) 1 d Which is the fourth smallest value? (a) -12 (b) -17/28 (c) 0.07 (d) -1 c What is the second smallest value in 2/15, -13, -3280? -13 What is the smallest value in 0.2, -365, -0.4, 7.8? -365 Which is the biggest value? (a) -1.3 (b) -0.0593 (c) 3/2 c What is the second biggest value in 2/11, -1184, -6, -0.1, 0? 0 Which is the fourth smallest value? (a) 593 (b) -4 (c) 5 (d) 2 (e) -1 c What is the second biggest value in -70, -0.332, -0.04? -0.332 What is the fourth smallest value in -508, 0, 0.473, 1/2, -1/10? 0.473 Which is the third biggest value? (a) 3 (b) 0.29 (c) -1/13 (d) -3 (e) 2/7 e What is the smallest value in -363, 3, -0.1, 0.5, -1.4? -363 What is the third biggest value in 0, 2/55, -2/37, -11/4, -1/6? -2/37 Which is the fifth smallest value? (a) -0.03 (b) 4 (c) -3/5 (d) -1/4 (e) -13306 b What is the second biggest value in 20, 350, 22, -3? 22 What is the second smallest value in -38, 94, -0.13? -0.13 What is the biggest value in 4/9, -88, 7? 7 What is the second smallest value in -0.1, 12, 5033? 12 Which is the third biggest value? (a) 0.5 (b) 19 (c) 2.5 (d) 30 c What is the biggest value in 7, 1, 1/10, 374? 374 Which is the second smallest value? (a) 0.4 (b) -162 (c) -14/11 (d) -2/5 c Which is the third biggest value? (a) 2 (b) 0.4 (c) 27935 b Which is the fourth smallest value? (a) -0.08 (b) -15/2 (c) -24.11 (d) -0.3 a Which is the third biggest value? (a) 0.9 (b) -1/4 (c) -1 (d) -1/428 b What is the second biggest value in -3/17, -1/6, 525? -1/6 What is the third smallest value in -0.2, 1/69, -7/18, -2/3, -4? -7/18 What is the second smallest value in -15856, 4/13, 3? 4/13 Which is the smallest value? (a) 0.3 (b) 1.9 (c) 12 (d) 0 (e) -5 (f) 3 e What is the biggest value in 55, 0, 1445? 1445 What is the second biggest value in 0.3, -2, 0.5, 2/15, 78.7? 0.5 Which is the smallest value? (a) 2 (b) 0.1 (c) -2/5 (d) -1/4 (e) 0.2 (f) -2/157 c Which is the second smallest value? (a) 1882 (b) -3 (c) -5 (d) 1/3 b Which is the smallest value? (a) -161 (b) 11 (c) 2 (d) -7 a Which is the biggest value? (a) -1012 (b) 0.1 (c) 4 (d) 5 (e) -4 d What is the second biggest value in 10/9, 5, -10, -8.2? 10/9 What is the sixth biggest value in -21, -26, -4/3, -2/25, 0.1, -3? -26 Which is the fifth smallest value? (a) -0.014 (b) 0.4 (c) 0.2 (d) -0.4 (e) -0.09 (f) -8/5 c What is the third biggest value in -14, 3/4, -1, 0.12, 0.16, -28? 0.12 What is the fourth biggest value in 3, -2, 0.01, 21/5, 1? 0.01 Which is the biggest value? (a) -22 (b) 17 (c) -0.4 (d) -0.05 (e) 4 (f) 3/8 b What is the sixth smallest value in 2/5, -3, 0.3, 4, -321, 5/2? 4 Which is the second biggest value? (a) 8/127 (b) -3 (c) -1/6 (d) 10 (e) -4 a Which is the second biggest value? (a) 1769 (b) -19 (c) -2/7 c What is the fifth biggest value in -0.5, 0.5, 1, 1.27, 51? -0.5 Which is the second biggest value? (a) 2/11 (b) 0.05 (c) -4/3 (d) -2 (e) -6/5 (f) -84 b Which is the second smallest value? (a) -1/4 (b) -4 (c) -1412/5 (d) -2/13 b What is the sixth biggest value in -3, -0.2, -5, 1/3, -1.9, 125? -5 What is the smallest value in 2.6, -9/22, 0.3, 0? -9/22 Which is the biggest value? (a) 5 (b) -4 (c) -0.17 (d) 596/7 d Which is the third biggest value? (a) 1/3 (b) 0.3 (c) 2 (d) 0.6 (e) 0.2 (f) -0.19 a What is the smallest value in 5.71, 2/103, 3? 2/103 What is the biggest value in -0.1, -0.4, -4, -1, 2826? 2826 What is the smallest value in -4/3, 27, -1, -2/11? -4/3 Which is the smallest value? (a) -3 (b) 5 (c) 107 (d) -5 (e) -0.17 (f) 5/3 d Which is the smallest value? (a) 5/8 (b) 0.5 (c) -0.5 (d) -3 (e) -121 e What is the third smallest value in -4/3, 70, -3.3, -3, -1/4? -4/3 What is the third smallest value in 13945, 0.5, 1/7? 13945 What is the third smallest value in 2/207, 156.2, 1/3, 5, 2/7? 1/3 Which is the third biggest value? (a) 0 (b) 2465 (c) -1/4 (d) 4 a What is the second smallest value in 2/11, -11/7, 1/4, 0.83? 2/11 Which is the second biggest value? (a) 11 (b) -5593 (c) 8 c Which is the fifth biggest value? (a) 4 (b) -0.04 (c) -32164 (d) 5 (e) -2/5 (f) 1 e Which is the third biggest value? (a) 224 (b) -0.6 (c) 0.009 b What is the third biggest value in 2, -1/6, -20, -5, -0.41? -0.41 What is the third smallest value in 0.08, 7, 14/15? 7 What is the biggest value in -948, 0.3, -144? 0.3 Which is the third smallest value? (a) 0.4 (b) 2 (c) 2/9 (d) 1508/5 b What is the second smallest value in -1/2, 0.3, -9, 4/5, 158? -1/2 What is the second biggest value in 1/9, 0.3, 262.6? 0.3 What is the fourth smallest value in 0.2, -5, -0.04, 1, 0.1, 4? 0.2 Which is the fifth biggest value? (a) -4 (b) -2/7 (c) 2 (d) -127/4 (e) 5 d What is the fourth biggest value in -0.072, -12, -2/15, 9? -12 What is the second biggest value in -1, 0.14, 11.2, -4, 2? 2 Which is the third smallest value? (a) -2/37 (b) -0.09 (c) 18 (d) 4/5 d Which is the smallest value? (a) 0.1 (b) 61861 (c) -2/23 c Which is the second smallest value? (a) 48 (b) 0 (c) -101 b Which is the biggest value? (a) -5 (b) 3 (c) 1/3 (d) 2685 (e) 4 d What is the biggest value in 3/8, 461, 5, 1? 461 Which is the biggest value? (a) -22/81 (b) -1/3 (c) 1/4 (d) 0.4 d Which is the biggest value? (a) 0.053 (b) 110 (c) 2/11 (d) -1 (e) 0.1 b What is the fourth biggest value in -5, -86, 4952, 2/13? -86 Which is the fourth biggest value? (a) 0.3 (b) 2/367 (c) -0.1 (d) 0.05 (e) 0.1 b Which is the second smallest value? (a) 9 (b) -5 (c) -0.3 c What is the second biggest value in -216, -25, -2/9, 2/11, 0.4? 2/11 What is the fourth smallest value in 4, -1382, 2/15, 6/19, 2? 2 Which is the sixth smallest value? (a) 2/889 (b) -3 (c) -0.5 (d) -1/5 (e) -1 (f) 1 f Which is the third biggest value? (a) 1 (b) 0.272 (c) 0.124 c Which is the fourth biggest value? (a) 1.7 (b) -1/35 (c) 1/3 (d) 1 b What is the fourth smallest value in -4, -5, -125, -0.2, 2/35? -0.2 Which is the third smallest value? (a) -0.24 (b) 0.2 (c) -6 (d) 6 (e) -0.9 a What is the second smallest value in 3, 0.2, 104, -0.4? 0.2 What is the sixth smallest value in 13, 4, -4, 317.57, 2, 2/13? 317.57 What is the smallest value in 4, 1/12, 26/47, 1.27? 1/12 Which is the fourth biggest value?
{ "pile_set_name": "DM Mathematics" }
Let w be (-32)/6*3/p. Suppose 2*z - 10 = 0, 0 = w*s - 3*z + z + 4490. What is s rounded to the nearest one hundred? -1100 Suppose 299 = -3*w - 4*k, 3*w + 323 = 3*k - k. Let j be w/(-9)*(-6060)/(-21)*-3. What is j rounded to the nearest 1000? -10000 Let y be (5/((-30)/939))/((-5)/(-620)*2). Let o(r) = 401*r + 1. Let x be o(-4). Let g = y - x. Round g to the nearest 1000. -8000 Let a = 383 - 546. Let f = -244 - a. Let v = f + 80.907. What is v rounded to two dps? -0.09 Let l = -91.7 - -46.8. Let x = -44.9432 - l. Round x to 3 decimal places. -0.043 Let v = -10872 - -5596.5. Round v to the nearest one hundred. -5300 Suppose 7*u - 6259572 = -2*u. Let l = 1310208 - u. Round l to the nearest ten thousand. 610000 Let f = -5.491 + 4.679. What is f rounded to 1 dp? -0.8 Let y(d) = -44*d**2 + 7*d + 6. Let r be (-187)/(-33) - 2/3. Suppose -3*u = -r*u + 8. Let s be y(u). Round s to the nearest one hundred. -700 Let y = 227.95 - -4.75. Let i = y + -256.11. What is i rounded to the nearest ten? -20 Let x = -156678.99764459 - -156679. What is x rounded to 4 dps? 0.0024 Let y = 7889 + -7888.99998451. Round y to five dps. 0.00002 Let a = -89257 - -89317.0032. Let f = -97 + 37. Let d = f + a. What is d rounded to 3 dps? 0.003 Let y = 45.95 + -84.25. Round y to the nearest one thousand. 0 Let g = 220 - -39. Let s = g + -178. Let y = 99.3 - s. Round y to zero decimal places. 18 Suppose -2565*r - 171100000 = -2567*r. Round r to the nearest 1000000. 86000000 Let f = 181.06 - 181.056. Let r = 113 - 113.0255. Let m = r - f. What is m rounded to three dps? -0.03 Let o = 23.196 + -22.8. Let n = o - 0.3833. What is n rounded to three dps? 0.013 Let p(u) = -32741*u - 984. Let n be p(-4). Round n to the nearest one hundred thousand. 100000 Let r be (-7 - 5)/6 - (-11 - -3). Let i be (5 - 7 - (-32)/r)*-81. Round i to the nearest 100. -300 Let c = -0.001852641 + 113483694.001852641. Let y = -113483692.14999893 + c. Let w = y - 1.85. What is w rounded to seven decimal places? 0.0000011 Let i = -52979.054394 + 52979. What is i rounded to two decimal places? -0.05 Let w = 61527.0040619 - 61527. What is w rounded to three decimal places? 0.004 Let l = 625 - 625.801. Let a = 1.482 + l. Round a to 0 dps. 1 Let y = -1476447.257 - -1477072. Let r = y + -625. Round r to two decimal places. -0.26 Let p = 1555.253 + -1556. Let t = 0.74703288 + p. Round t to five decimal places. 0.00003 Let c(h) be the first derivative of h**4/4 + 5*h**3/3 - 14*h**2 + 2*h + 15. Let x be c(-9). What is x rounded to the nearest one hundred? -100 Let p = 438 + -438.0307. Let f = p + 0.03069215. What is f rounded to seven dps? -0.0000079 Let o = -99.88617 + 870.89578. Let n = -771 + o. Round n to three decimal places. 0.01 Suppose 73*s = -1567233 - 1667470. Let x be ((-338555)/20)/(1/4). Let u = x - s. Round u to the nearest 1000. -23000 Let b = -3.3835 - -4.337. Let q = b + -0.99. Round q to 2 decimal places. -0.04 Suppose -450300 = v - n, -4*v - 319731 = -2*n + 1481469. Round v to the nearest 10000. -450000 Let g = 66.4 - 72. Let a = g - -45.6. Let v = a - 40.288. What is v rounded to one decimal place? -0.3 Let g = 814 - -412. Let t = g - 1215.14. What is t rounded to the nearest integer? 11 Let r = 1015 - -7398. Suppose -4*m - r = 15667. Round m to the nearest one hundred. -6000 Suppose 18*p - 2*w = 20*p + 2945002, -5*p = -5*w + 7362485. Let i be p/(-5) + (-36)/(-180). What is i rounded to the nearest ten thousand? 290000 Let r = 5898291355 - 5898291275.29998606. Let d = r + -79.7. What is d rounded to six decimal places? 0.000014 Let v = -7784.4 + 8255. Round v to the nearest 10. 470 Let r = 5530457.1138 + -5531434. Let c = r + 993.386121. Let l = -16.5 + c. What is l rounded to 5 dps? -0.00008 Let n = -5.147207 + 5.151. What is n rounded to 4 decimal places? 0.0038 Let f = 8 - 619. Let l = f - -611.2726. Round l to two decimal places. 0.27 Let r = -15526855.8000006 - -15526833.8. Let k = 0 - 22. Let t = k - r. What is t rounded to six dps? 0.000001 Let q be (-354244)/83*10*1. Round q to the nearest 1000. -43000 Let n be (-23)/(-2) + (-2)/4. Let t(i) = 2*i**2 - 22*i + 58. Let r(h) = 2*h - 5. Let p(f) = -10*r(f) - t(f). Let w be p(n). Round w to the nearest one hundred. -200 Let o(h) be the first derivative of -227*h**3 - 4*h**2 - 25*h - 14. Let w be o(-3). What is w rounded to the nearest one hundred? -6100 Let s = -4671 + 4671.20472. Round s to 3 dps. 0.205 Let a be (3/(-2) - -1)*(7 + -25). Let y be 9/a - (-244)/(-2). Let j = y + 76. What is j rounded to the nearest 10? -50 Let u(r) = 15004*r - 24. Let v = 16 - 8. Let q be u(v). Suppose 0 = 3*p - t + 90004, p - 2*t = -3*p - q. Round p to the nearest 10000. -30000 Let i = 0.766492606 - 0.7665. What is i rounded to 6 dps? -0.000007 Suppose h + 4*z = -5357368, -3*h - 16072232 = 131*z - 135*z. What is h rounded to the nearest one million? -5000000 Let i = -1352.4121202 + 1366.0121. Let u = 13.6 - i. What is u rounded to five dps? 0.00002 Let t be (9336300/9)/(((-3)/9)/1). What is t rounded to the nearest ten thousand? -3110000 Let j = 96.84 + -113.9. Let f = j + 15.6. Let x = -1.4599858 - f. Round x to 5 dps. 0.00001 Let s = 16357 - 16356.99980763. What is s rounded to six dps? 0.000192 Let z = -2.7453 - -2.7. Let m = z - -0.04505. Round m to 5 dps. -0.00025 Let f = 883.00011624 - 883. What is f rounded to four decimal places? 0.0001 Let t = -7.832 + 6.95. Let p = t + -0.038. Let z = -0.52 - p. Round z to the nearest integer. 0 Let l = 0.1077 - 119.7077. Let c = l - -118.054. What is c rounded to 1 decimal place? -1.5 Let j = 38 + -97. Let y = 71 + j. Let q be 8/(-2)*63000009/y + 3. Round q to the nearest 1000000. -21000000 Let l = -62 + 6. Let s be (l/6)/(10/1987500*5). Round s to the nearest 10000. -370000 Let w(x) = 23*x**3 + x**2 + 13*x - 11. Let a be w(-10). Let s = a + 13637. Let q = -7196 + s. What is q rounded to the nearest one thousand? -17000 Let c = 766 - 467. Let p = 246.1 - c. Round p to the nearest integer. -53 Let n = -71217 - -37131. What is n rounded to the nearest 1000? -34000 Let q = -2.06 + -117.94. Let g = -120.0217 - q. Round g to three dps. -0.022 Let u(d) = 2*d**3 + 4*d**2 + d**3 - 2*d**2 + d - 2*d**3. Let o be u(0). Suppose o = -f + 32 + 2768. What is f rounded to the nearest one thousand? 3000 Let z = 22255 + -22254.99985479. Round z to 6 dps. 0.000145 Let m = -28526 + 28516.3664. Round m to 1 dp. -9.6 Let u = -4187 + 4221.59. Round u to 0 decimal places. 35 Let y = 315 - 129. Let z = y + -186.0012. Round z to three decimal places. -0.001 Let v = 53 + -71. Let i be ((-8)/9)/(4/v). Suppose m + 4*h = 6*m - 148500004, i*m = 5*h + 118800005. What is m rounded to the nearest one million? 30000000 Suppose -3*f + 8 + 7 = 0. Suppose -x = -d - 153, d - 8 = f*d. Let i be (x - 1)*12/1. Round i to the nearest one thousand. 2000 Let p = 55268 + -55268.000050142. Round p to 6 dps. -0.00005 Let g = 17.8 - 17.89. Let y = -0.1439 - g. Round y to 3 decimal places. -0.054 Let p = 0.0430763 - 99.0322763. Let t = -28.89 - -127.89. Let f = t + p. What is f rounded to 3 dps? 0.011 Let n = 1.845 - 7.257. Let o = -0.78 - n. Round o to 1 decimal place. 4.6 Let s(l) = 0*l + 4*l + 38 + 11 - 8*l. Let c be s(16). What is c rounded to the nearest integer? -15 Let k(v) = 842637*v**3 - 6*v**2 + 9*v - 1. Let i be k(13). Suppose 18*u - i = 1136727409. What is u rounded to the nearest 1000000? 166000000 Let n = -3607768799.81 + 3665259424. Let l = n + -57490716.19000252. Let c = l - -92. Round c to seven dps. -0.0000025 Let o = 4175 - 3939.24. Round o to the nearest integer. 236 Let z = 96.62 - 96.6199987549. What is z rounded to 7 dps? 0.0000012 Let v = 7613 + -7608. Let t = -1 - -1. Suppose 3*s - v*z - 900010 = t, s - 2*z + 4*z = 299996. Round s to the nearest 1000000. 0 Let o = 2502618070.998819 + -2502619812. Let m = o + 1741. Round m to 4 dps. -0.0012 Let u(l) = l**3 + 15*l**2 + 31*l + 67. Let s be u(-13). Let k = 15 + -11. Suppose -189990 = -5*t + k*r + r, -3*t + s*r = -113996. Round t to the nearest 10000. 40000 Let f = -12010.41 + 11889. Let n = 132.1 + f. What is n rounded to the nearest integer? 11 Suppose 3*u + 9*u - 1119744 = 0. Let a = u + -39612. What is a rounded to the nearest ten thousand? 50000 Let c = 6047237 - 6038624.054. Let q = c - 862
{ "pile_set_name": "DM Mathematics" }
328304/3 = 0. -17, 12, 284 Factor -p**2/4 + 1233*p/4 - 2754. -(p - 1224)*(p - 9)/4 Let 5*p**4 + 5*p**3 - 640*p**2 + 3420*p - 5040 = 0. What is p? -14, 3, 4, 6 Factor -3*g**2/4 + 1035*g/4 - 9348. -3*(g - 304)*(g - 41)/4 Factor -9*g**2/5 + 7044*g/5 - 74112/5. -3*(g - 772)*(3*g - 32)/5 Factor 4*w**2 - 6308*w + 130704. 4*(w - 1556)*(w - 21) Factor -2*n**3 - 10*n**2 + 832*n - 4200. -2*(n - 14)*(n - 6)*(n + 25) Factor 78*f**2 + 172070*f + 4412. 2*(f + 2206)*(39*f + 1) Solve -5*b**3/2 + 1615*b**2/2 - 114975*b/2 + 2359125/2 = 0. 45, 233 Let -k**2 + 36900*k - 340402500 = 0. What is k? 18450 Determine f, given that -f**4/3 + 1457*f**3/3 - 521101*f**2/3 - 2347835*f + 2521050 = 0. -14, 1, 735 Find i, given that -i**2/3 - 176*i/3 - 1645 = 0. -141, -35 Let 20*i**3/7 - 1442242*i**2/7 + 26000846944*i/7 - 2600070272/7 = 0. What is i? 1/10, 36056 Find w, given that -63*w**5/4 + 408*w**4 - 2931*w**3/4 + 609*w**2/2 + 36*w = 0. -2/21, 0, 1, 24 Factor t**2 + 407021*t - 407022. (t - 1)*(t + 407022) Factor 5*p**2 + 3060*p + 428575. 5*(p + 217)*(p + 395) Factor -g**3/7 - 7422*g**2/7 + 4*g/7 + 29688/7. -(g - 2)*(g + 2)*(g + 7422)/7 Suppose -2*n**3/9 + 6086*n**2/9 - 4804240*n/9 + 262675552/9 = 0. What is n? 59, 1492 Let n**5/3 - 2665*n**4/3 - 107762*n**3/3 - 1184030*n**2/3 - 2055439*n/3 - 976505/3 = 0. What is n? -19, -1, 2705 Determine b so that -6135*b**2 + 5*b = 0. 0, 1/1227 Factor -25*h**4 - 3520*h**3 - 6965*h**2 - 3470*h. -5*h*(h + 1)**2*(5*h + 694) Factor 3*j**3 + 1140*j**2 - 50172*j + 95760. 3*(j - 38)*(j - 2)*(j + 420) Determine p, given that 2198*p**4/3 - 39560*p**3/9 - 2206*p**2/3 + 39560*p/9 + 8/3 = 0. -1, -2/3297, 1, 6 Factor -2*i**3/9 - 471820*i**2/9 - 27826764050*i/9. -2*i*(i + 117955)**2/9 Let 4*w**2 + 18524*w - 18528 = 0. What is w? -4632, 1 Factor 3*l**3 + 2613*l**2 + 585585*l + 7177599. 3*(l + 13)*(l + 429)**2 Suppose 9*o**2/4 - 250845*o/2 + 167229/4 = 0. What is o? 1/3, 55743 What is a in 2*a**3/3 + 86482*a**2/21 + 8236*a/7 = 0? -6177, -2/7, 0 Find n, given that 2*n**5 - 57*n**4 - 580*n**3 - 210*n**2 + 2378*n - 1533 = 0. -7, -3, 1, 73/2 Determine p, given that -2*p**3/5 + 43136*p**2/5 - 46509234*p - 93052980 = 0. -2, 10785 Factor -j**3/2 - 89865*j**2/2 + 89871*j + 359468. -(j - 4)*(j + 2)*(j + 89867)/2 Factor -j**5/4 - 14674*j**4 - 58695*j**3/4. -j**3*(j + 1)*(j + 58695)/4 Suppose 4*b**3 - 152*b**2 - 4816*b + 10208 = 0. What is b? -22, 2, 58 Suppose 5*i**4 + 570*i**3 - 23205*i**2 + 22630*i = 0. Calculate i. -146, 0, 1, 31 Determine t so that 4*t**4 - 168*t**3 - 724*t**2 - 552*t = 0. -3, -1, 0, 46 Solve -3*j**2/5 + 5301*j - 26502/5 = 0. 1, 8834 Factor -2*t**2 + 217168*t - 434328. -2*(t - 108582)*(t - 2) Factor 3*x**3 - 2601*x**2 + 35865*x - 33267. 3*(x - 853)*(x - 13)*(x - 1) Factor -36*m**3 + 5052*m**2 - 184576*m + 509232. -4*(m - 3)*(3*m - 206)**2 Determine o, given that 2*o**4 - 19056*o**3 + 38102*o**2 + 19056*o - 38104 = 0. -1, 1, 2, 9526 Find h such that -3*h**2 - 242919*h + 242922 = 0. -80974, 1 Suppose -v**4/6 + 10*v**3/3 - 107*v**2/6 + 56*v/3 + 40 = 0. Calculate v. -1, 4, 5, 12 Factor 3*y**2 + 87*y - 7956. 3*(y - 39)*(y + 68) Determine m so that -5*m**4 + 2525*m**3 + 7620*m**2 + 20*m - 10160 = 0. -2, 1, 508 Solve -3*c**2/2 - 18657*c - 116027883/2 = 0 for c. -6219 Suppose -2*g**3/21 + 4066*g**2/21 - 580*g/3 - 8128/21 = 0. Calculate g. -1, 2, 2032 Suppose -2*b**2/11 + 400732*b/11 - 20073266978/11 = 0. What is b? 100183 Factor -3*d**2/7 + 1251*d/7 + 89094/7. -3*(d - 479)*(d + 62)/7 Factor -v**3 + 1302*v**2 - 3899*v + 2598. -(v - 1299)*(v - 2)*(v - 1) Suppose 3*d**4 - 9306*d**3 - 309276*d**2 - 3410022*d - 12518055 = 0. Calculate d. -11, 3135 Let -28*f**2 - 1544*f - 2976 = 0. What is f? -372/7, -2 Factor 2*z**2/7 - 600*z/7 - 1350. 2*(z - 315)*(z + 15)/7 Let 2*a**3/11 - 986*a**2/11 + 8640*a + 6852600/11 = 0. What is a? -47, 270 Solve 5*l**4 + 4175*l**3 + 49620*l**2 + 197840*l + 263360 = 0. -823, -4 Suppose 4*v**3 - 46196*v**2 + 184736*v - 184720 = 0. What is v? 2, 11545 Suppose s**3/8 - s**2 - 9*s/8 = 0. Calculate s. -1, 0, 9 Factor -2*p**2/3 - 352*p + 67800. -2*(p - 150)*(p + 678)/3 Factor s**4 - 20*s**3 + 128*s**2 - 256*s. s*(s - 8)**2*(s - 4) Factor -8*b**3/5 - 5066*b**2/5 - 1266*b/5. -2*b*(b + 633)*(4*b + 1)/5 Suppose -r**4/2 - 46*r**3 - 853*r**2/2 - 1371*r - 1476 = 0. Calculate r. -82, -4, -3 Factor -5*l**2/4 - 5655*l/4 + 8505/2. -5*(l - 3)*(l + 1134)/4 Solve 2*i**2/3 + 1528*i/3 + 11362 = 0 for i. -741, -23 Determine y so that 10*y**2 + 2582215*y - 1291110 = 0. -258222, 1/2 Find y such that -y**2/5 + 4501*y/5 + 4506 = 0. -5, 4506 What is a in -a**4/9 - 1291*a**3/9 + 1297*a**2 - 3897*a + 3900 = 0? -1300, 3 Find o such that 9*o**5/5 - 1929*o**4/5 - 11127*o**3/5 - 20391*o**2/5 - 15162*o/5 - 792 = 0. -3, -1, -2/3, 220 Factor -44402*t**3/3 - 86420*t**2/3 + 4736*t/3 - 64/3. -2*(t + 2)*(149*t - 4)**2/3 Factor 9*b**3/7 + 96699*b**2/7 - 64469*b/7 + 1535. (b + 10745)*(3*b - 1)**2/7 Factor 2*f**5 + 746*f**4 + 2226*f**3 + 2222*f**2 + 740*f. 2*f*(f + 1)**3*(f + 370) Factor -136255*n**3/2 - 136105*n**2/2 + 75*n. -5*n*(n + 1)*(27251*n - 30)/2 Factor -3*g**2 - 2907*g - 25920. -3*(g + 9)*(g + 960) What is p in -4*p**3 - 500*p**2 + 21888*p - 208656 = 0? -161, 18 Suppose -5*w**2 - 66710*w + 133440 = 0. Calculate w. -13344, 2 Let 4*t**5/9 + 20*t**4/9 + 28*t**3/9 - 4*t**2/9 - 32*t/9 - 16/9 = 0. Calculate t. -2, -1, 1 Let b**2/7 - 349*b/7 - 1566 = 0. Calculate b. -29, 378 Factor c**2/5 - 72676*c/5 + 290688/5. (c - 72672)*(c - 4)/5 What is s in 2*s**4/11 + 136*s**3/11 - 1484*s**2/11 - 7624*s/11 - 546 = 0? -77, -3, -1, 13 Factor 6*i**2/11 - 66024*i/11 + 181632024/11. 6*(i - 5502)**2/11 Suppose 4*p**5 + 22500*p**4 + 44972*p**3 - 67508*p**2 - 179952*p - 89968 = 0. What is p? -5623, -2, -1, 2 Factor 35378*v**3/3 - 154014*v**2 + 9232*v - 416/3. 2*(v - 13)*(133*v - 4)**2/3 Factor -t**3 + 24360*t**2 - 148328037*t - 296753522. -(t - 12181)**2*(t + 2) Solve -j**4/6 + 47*j**3/6 + 1167*j**2/2 - 22727*j/6 - 13090/3 = 0. -44, -1, 7, 85 Factor -25*m**2/3 - 2280*m + 2740/3. -5*(m + 274)*(5*m - 2)/3 Factor c**2/4 + 77*c + 2691/4. (c + 9)*(c + 299)/4 Solve -3*z**5/2 + 69*z**4/2 - 297*z**3/2 - 321*z**2/2 + 1500*z - 1224 = 0. -3, 1, 4, 17 Factor c**2/4 + 5675*c/2. c*(c + 11350)/4 Determine b, given that -5*b**5/6 - b**4/2 + 100*b**3/3 + 20*b**2 - 120*b - 72 = 0. -6, -2, -3/5, 2, 6 Suppose 20*u**4 - 3085*u**3 - 11850*u**2 = 0. What is u? -15/4, 0, 158 Determine c so that c**2/5 - 1397*c/5 + 22794 = 0. 87, 1310 Factor 2*u**2/19 + 4686*u/19 - 4688/19. 2*(u - 1)*(u + 2344)/19 Find g such that 4*g**3 + 232*g**2 + 736*g - 6912 = 0. -54, -8, 4 Factor -g**3/9 + 2173*g**2/9 - 1179395*g/9 - 1181569/9. -(g - 1087)**2*(g + 1)/9 Solve 20*s**5 - 84*s**4 - 732*s**3 + 2500*s**2 - 2568*s + 864 = 0. -6, 1, 36/5 Let 2*j**5/7 - 1014*j**4/7 - 6*j**3/7 + 434*j**2 + 2028*j/7 = 0. Calculate j. -1, 0, 2, 507 Factor 15*y**2 - 272244*y - 108900. 3*(y - 18150)*(5*y + 2) Find t, given that t**5 - 7*t**4 - 2*t**3 + 14*t**2 + t - 7 = 0. -1, 1, 7 Solve -4*i**5 - 9440*i**4 + 47268*i**3 - 75664*i**2 + 37840*i = 0. -2365, 0, 1, 2 Let -3*g**5/5 - 36*g**4 + 39*g**3/5 + 2304*g**2/5 - 432*g = 0. What is g? -60, -4, 0, 1, 3 Factor -d**2/4 + 102911*d/4 + 102913/2. -(d - 102913)*(d + 2)/4 Determine d so that -50*d**4 + 124660*d**3 - 149544*d**2 + 299056*d/5 - 39872/5 = 0. 2/5, 2492 Let d**5/4 - 4833*d**4/2 - 19337*d**3/2 - 14504*d**2 - 38679*d/4 - 4835/2 = 0. What is d? -1, 9670 Factor -4*j**3/3 + 99280*j**2/3 - 99268*j. -4*j*(j - 24817)*(j - 3)/3 Find n such that -2*n**3/3 + 386*n**2/3 + 1600*n/3 - 1576 = 0. -6, 2, 197 Solve -4*s**3 + 139452*s**2 + 557856*s + 557872 = 0. -2, 34867 Determine j, given that -2*j**4 + 26914*j**3/3 + 26932*j**2/9 - 71768*j/9 - 35888/9 = 0. -2/3, 1, 4486 Let -5*i**2/4 + 109740*i - 2408573520 = 0. What is i? 43896 Solve -2*h**3/3 + 460*h**2 - 8224*h/3 + 3648 = 0. 2, 4, 684 Solve 5*d**5 - 51670*d**4 + 133695990*d**3 - 1067347080*d**2 + 2799869085*d - 2399091210 = 0 for d. 2, 3, 5163 Determine u so that 531*u**4/2 + 13269*u**3/2 + 92775*u**2/2 + 198075*u/2 - 1125 = 0. -15, -5, 2/177 What is k in 3*k**3 + 357*k**2/4 + 558*k + 783 = 0? -87/4, -6, -2 What is v in 432*v**4 - 6484*v**3 + 7836*v**2 + 44856*v - 416 = 0? -2, 1/108, 4, 13 Solve f**5/2 - 62*f**4 - 130*f**3 + 504*f**2 = 0 for f. -4, 0, 2, 1
{ "pile_set_name": "DM Mathematics" }
*i + 1 + 72*i**2 + 10*i. Let x be p(-6). Suppose -2*v + 0*z + 5210 = 5*z, v - x = -2*z. What is v rounded to the nearest 1000? 3000 Let c = 1.54 + 1.01. Let k = 0.199 - 1.199. Let u = k + c. What is u rounded to 1 decimal place? 1.6 Let s = 848947 + -588947. Suppose -s = -8*h + 13*h. What is h rounded to the nearest ten thousand? -50000 Let h = 6174 - 2992. What is h rounded to the nearest one hundred? 3200 Let m = 0.3015 + -0.1083. Let z = -0.2 + m. Round z to 3 decimal places. -0.007 Let h = 137 - 46. Let m = 90.99999979 - h. Round m to 7 dps. -0.0000002 Let r be (-20)/3 + (-15)/45. Let b = -2 - r. Suppose 2*h - b*g + 331985 = -2*h, 2*g = -h - 83006. Round h to the nearest 10000. -80000 Let d = 98 - 98.004. Let x = 0.31 - 0.3. Let r = x + d. What is r rounded to 2 dps? 0.01 Let d(h) = -12 - 3*h**2 - 13*h**3 - 8*h**3 - h**2 + 6*h + h**2. Let a be d(-9). What is a rounded to the nearest 10000? 20000 Let y = -0.0218 + 0.024912. Round y to four decimal places. 0.0031 Let i = 0.47 - 1.11. Let j = i - -0.63999946. What is j rounded to seven dps? -0.0000005 Let a = -55.2 - -55.881. What is a rounded to one decimal place? 0.7 Let j be ((-5)/(-2))/(8/(-16)). Let h be 1 - 2 - (-9 - j). Suppose -3*g - 2*l = 14108, -3*l + 23488 = -2*g - h*g. What is g rounded to the nearest one thousand? -5000 Let l = -2560 - -2560.0001437. Round l to five dps. 0.00014 Let b be (-1)/(-1)*-1*-27. Let x be 1412/6*b/18. Suppose -147 = p + x. What is p rounded to the nearest one thousand? -1000 Let v = -900 + 1825. Suppose 5*p - p = 5*h - v, 2*h + p = 370. Let z = -109 + h. What is z rounded to the nearest ten? 80 Let h = -423.999749 - -424. Round h to four decimal places. 0.0003 Suppose 0 = -3*c + 5*u + 794080, -2*c - 16*u = -13*u - 529412. Round c to the nearest ten thousand. 260000 Let x = -43 - -84. Let s = 40.99999999 - x. What is s rounded to 7 dps? 0 Let k = -902.5 + 385.8. Round k to the nearest 100. -500 Let a = 0.03 - -0.02. Let l = -0.12 + a. Let i = l + 0.67. What is i rounded to zero decimal places? 1 Let k = 37 + -13. Let w = k + -7. Let o = w + -17.044. Round o to two dps. -0.04 Let p = -0.015 - -16.015. Let t = -15.9999905 + p. Round t to 6 decimal places. 0.00001 Let h = -11.8 - -7. Let d = 4 + h. Let w = d + 0.8000036. Round w to six decimal places. 0.000004 Let z = -72 - -51. Let o = 21.0103 + z. Round o to 3 dps. 0.01 Let v = -248.440915 - -381.4404. Let t = -133 + v. Round t to five dps. -0.00052 Let w = -684 + 680.3304. Let p = w + 3.42. Let a = -0.25 - p. What is a rounded to 3 dps? 0 Let j = -437 + 436.9857. What is j rounded to two dps? -0.01 Let l = -352.05 + 5.05. Let v = -347.00157 - l. What is v rounded to four dps? -0.0016 Let y = 2.63 + -110.63. Let b = y + 110.5. Round b to the nearest integer. 3 Let l = 348 - -118. Let d = -466.0502 + l. Round d to 3 decimal places. -0.05 Let s(t) = -75354*t - 3. Let h be s(-1). Let y = -264649 - h. Round y to the nearest 100000. -300000 Suppose 0 = -m + 5408 - 26378. What is m rounded to the nearest 1000? -21000 Let b be (19500/(-2))/((-40)/3680). What is b rounded to the nearest ten thousand? 900000 Suppose -s + 3*s + 8 = 0. Let t(z) = 276*z + 4. Let r be t(s). Round r to the nearest one thousand. -1000 Let c = -4232.54 - -4389. Let q = 158 - c. What is q rounded to 1 decimal place? 1.5 Let k = -0.81 - -55.81. Let j = 54.971 - k. Let d = j - 1.031. What is d rounded to 1 decimal place? -1.1 Let q = -0.779 + 1.5. What is q rounded to one dp? 0.7 Let d = 243.3 + -243.302438. Round d to 4 dps. -0.0024 Let t = -284.5524 + 0.3524. What is t rounded to the nearest ten? -280 Let c be (-50001)/5 + 8/40. What is c rounded to the nearest ten thousand? -10000 Let y = -35447.806033434 - 4.783536566. Let l = y - -35452. Let k = 0.59 + l. What is k rounded to four decimal places? 0.0004 Let f = 2.8 + -3.06. Let t = f - -3.36. Let d = t + -3.09999743. Round d to 7 decimal places. 0.0000026 Let b = -0.98 - -0.9185. Let u = 0.07 + b. Round u to 3 dps. 0.009 Let w be ((-66407234)/(-4)*1 - 0)*-2. Let p = -79103617 - w. What is p rounded to the nearest 1000000? -46000000 Let a = -18.1 + 18.1000345. What is a rounded to five decimal places? 0.00003 Let u(n) = -19*n + 10. Let x = 27 + -35. Let g be u(x). What is g rounded to the nearest ten? 160 Let u = -688164.071493 + 687710.071492329. Let f = 454 + u. What is f rounded to seven dps? -0.0000007 Let l = 213096042761111 + -213095934968603.000079. Let c = l - 107792424. Let h = c + -84. Round h to 5 dps. -0.00008 Suppose -4 = 2*x - 5*f - 36, 0 = -3*x - 4*f + 2. Let u(n) = -65*n**3 - 6*n**2 - 10*n + 16. Let q be u(x). Round q to the nearest 1000. -14000 Let x = -15 + -3. Let c = 2.872369 + 15.127061. Let j = c + x. Round j to four dps. -0.0006 Let f be (-5615997)/(-18) + 5/30. Suppose -2*h - f = 2*h. What is h rounded to the nearest 10000? -80000 Let d = -0.294 + 0.603. Let k = 0.26 - d. What is k rounded to 2 dps? -0.05 Suppose 2*k - 64346 = -418546. Round k to the nearest 10000. -180000 Let m = 400 + -657. Let p = m - -215.2. Round p to 0 dps. -42 Let m = -13.7 - 4.3. Let a = 17.3469 + 0.0531. Let w = m + a. What is w rounded to the nearest integer? -1 Let m be 0 - (0 + 6/(-3)). Suppose -m*j - 4*q = 205980, j + 0*j + 103025 = 5*q. Round j to the nearest 10000. -100000 Let x = 2.99 + -3. Let k = 26.4 - 26.4109. Let a = x - k. Round a to 3 decimal places. 0.001 Let b = 3577 + -1195. Round b to the nearest one hundred. 2400 Suppose -2*d + 4*d - 3*t - 668385 = 0, 334173 = d + 5*t. Suppose -3*y - d = 1615812. Round y to the nearest one hundred thousand. -700000 Let n = 1826 + -1673.45. Round n to the nearest 10. 150 Let j = 5684 + -5493.54. Let b = -108.8 + j. Let o = -80 + b. Round o to 1 decimal place. 1.7 Let i = -14404081 + 14404068.0000078. Let m = 13 + i. What is m rounded to 6 decimal places? 0.000008 Let f = 0.1053453932 - -167.1766537068. Let d = f - 167.082. Let g = 0.2 - d. What is g rounded to six dps? 0.000001 Let k = -25.922 - -26. Let n = k - 0.036. What is n rounded to two decimal places? 0.04 Let b = 1169.175787 - -10739.724473. Let u = b + -11909. Let o = u + 0.1. Round o to four dps. 0.0003 Let r = 488.6 - 580.36. Round r to the nearest 10. -90 Suppose 0 = 1041*i - 1070*i + 875220. Round i to the nearest 10000. 30000 Let s = 47215.33837631371 - 0.03852831371. Let r = -47215 + s. Let f = r - 0.3. What is f rounded to 5 decimal places? -0.00015 Let n = -25 + -51. Let i = n - -75.9999898. Round i to 6 decimal places. -0.00001 Let x = -20028690.0753042 + 20194012.0603. Let a = -165322 + x. Let j = -0.015 - a. Round j to six decimal places. 0.000004 Let k = -64 + 20. Let j be (-47038)/(-8) + (-11)/k. Round j to the nearest 1000. 6000 Suppose 9*t + 1233496 = 6435496. What is t rounded to the nearest ten thousand? 580000 Let t = -139.9375153 + 172.93751535. Let p = t + -33. What is p rounded to 7 dps? 0.0000001 Let a = -8071034287 + 8071034561.00001032. Let r = a + -274. What is r rounded to 6 dps? 0.00001 Let m be -11 - 311729/((-55)/(-5)). What is m rounded to the nearest 1000? -28000 Let r = -0.27 + 0.257. Let z = 30.013 + r. Let b = z - 30.000021. Round b to 6 decimal places. -0.000021 Let v = 2307 - 2307.0669. Round v to two decimal places. -0.07 Let v = 1786161.480095 + -1730863.0801. Let x = v + -55298. Let f = 0.4 - x. What is f rounded to five dps? 0.00001 Let y = -55 - -22. Let r = y - -32.994. Round r to 2 decimal places. -0.01 Let w = 305 + -304.9999713. Round w to 6 dps. 0.000029 Let w be (-2)/19 - (-2387349990)/(-95). Round w to the nearest one million. -25000000 Let t = -0.0543 - 4.9277. Round t to the nearest integer. -5 Let c = 1.9 - 19.9. Let z = c + 32. Let b = z + -14.0035. What is b rounded to 3 decimal places? -0.004 Let x be (-10540 - (0 + -1))*1. Let s be ((-2113)/(-2))/(5/30). Let n = x + s. What is n rounded to the nearest one thousand? -4000 Let q = 12.846 + -13. Let z = 0.15795 + q. What is z rounded to four dps? 0.004 Let l = -870.00807 + 870. Round l to four dps. -0.0081 Suppose 2 = 3*q + 14. Let v = q - -15. What is v rounded to the nearest ten? 10 Let p = 601 - 600.99999584. Round p to six decimal places. 0.000004 Let x = 0.0003 + 0.9507. Let l = 0.57 - x. Let v = l + 0.4. Round v to two dps. 0.02 Let x = 0.0493 - 0.1736. What is x ro
{ "pile_set_name": "DM Mathematics" }
he power of 1/3, to the nearest integer? 141 What is 372070 to the power of 1/3, to the nearest integer? 72 What is 465225 to the power of 1/7, to the nearest integer? 6 What is the third root of 469487 to the nearest integer? 78 What is 20339356 to the power of 1/5, to the nearest integer? 29 What is the square root of 2512562 to the nearest integer? 1585 What is 741806 to the power of 1/2, to the nearest integer? 861 What is 942372 to the power of 1/2, to the nearest integer? 971 What is 3285289 to the power of 1/2, to the nearest integer? 1813 What is 5107363 to the power of 1/6, to the nearest integer? 13 What is 14477156 to the power of 1/5, to the nearest integer? 27 What is the third root of 8357545 to the nearest integer? 203 What is 593938 to the power of 1/6, to the nearest integer? 9 What is 919793 to the power of 1/9, to the nearest integer? 5 What is the third root of 502278 to the nearest integer? 79 What is the fourth root of 2912935 to the nearest integer? 41 What is 20929413 to the power of 1/4, to the nearest integer? 68 What is the fourth root of 11841 to the nearest integer? 10 What is the square root of 2673662 to the nearest integer? 1635 What is 88293 to the power of 1/9, to the nearest integer? 4 What is the fifth root of 7253 to the nearest integer? 6 What is the fourth root of 15964878 to the nearest integer? 63 What is 5687318 to the power of 1/2, to the nearest integer? 2385 What is 244400 to the power of 1/6, to the nearest integer? 8 What is the fourth root of 1378276 to the nearest integer? 34 What is 5088254 to the power of 1/2, to the nearest integer? 2256 What is the eighth root of 7022407 to the nearest integer? 7 What is 5751418 to the power of 1/9, to the nearest integer? 6 What is 634231 to the power of 1/5, to the nearest integer? 14 What is 75297 to the power of 1/2, to the nearest integer? 274 What is 321047 to the power of 1/2, to the nearest integer? 567 What is the seventh root of 7563866 to the nearest integer? 10 What is the seventh root of 141569 to the nearest integer? 5 What is the fourth root of 80512 to the nearest integer? 17 What is 4082639 to the power of 1/2, to the nearest integer? 2021 What is 1570678 to the power of 1/3, to the nearest integer? 116 What is 10411070 to the power of 1/6, to the nearest integer? 15 What is the square root of 16569859 to the nearest integer? 4071 What is the cube root of 344338 to the nearest integer? 70 What is the cube root of 3688521 to the nearest integer? 155 What is 334084 to the power of 1/3, to the nearest integer? 69 What is the cube root of 5096814 to the nearest integer? 172 What is the square root of 2277674 to the nearest integer? 1509 What is 9662968 to the power of 1/2, to the nearest integer? 3109 What is the ninth root of 516061 to the nearest integer? 4 What is the third root of 551362 to the nearest integer? 82 What is 4286899 to the power of 1/2, to the nearest integer? 2070 What is the square root of 144301 to the nearest integer? 380 What is 426123 to the power of 1/6, to the nearest integer? 9 What is 1161182 to the power of 1/2, to the nearest integer? 1078 What is 12330691 to the power of 1/4, to the nearest integer? 59 What is the square root of 8660 to the nearest integer? 93 What is 2017541 to the power of 1/10, to the nearest integer? 4 What is the tenth root of 5946976 to the nearest integer? 5 What is the third root of 958748 to the nearest integer? 99 What is 129916 to the power of 1/2, to the nearest integer? 360 What is 210098 to the power of 1/7, to the nearest integer? 6 What is the fifth root of 33460 to the nearest integer? 8 What is the sixth root of 455153 to the nearest integer? 9 What is 175282 to the power of 1/3, to the nearest integer? 56 What is the cube root of 400307 to the nearest integer? 74 What is 386497 to the power of 1/8, to the nearest integer? 5 What is the third root of 494200 to the nearest integer? 79 What is 1895133 to the power of 1/2, to the nearest integer? 1377 What is 14952185 to the power of 1/2, to the nearest integer? 3867 What is the square root of 661588 to the nearest integer? 813 What is the cube root of 67914 to the nearest integer? 41 What is the square root of 4246869 to the nearest integer? 2061 What is the eighth root of 1294728 to the nearest integer? 6 What is the square root of 245906 to the nearest integer? 496 What is 3034551 to the power of 1/3, to the nearest integer? 145 What is the third root of 170585 to the nearest integer? 55 What is the cube root of 337249 to the nearest integer? 70 What is 2107697 to the power of 1/2, to the nearest integer? 1452 What is the cube root of 27548 to the nearest integer? 30 What is the square root of 5118342 to the nearest integer? 2262 What is the square root of 194168 to the nearest integer? 441 What is the fourth root of 8276993 to the nearest integer? 54 What is the cube root of 147758 to the nearest integer? 53 What is 4476691 to the power of 1/10, to the nearest integer? 5 What is 31447 to the power of 1/2, to the nearest integer? 177 What is 1549749 to the power of 1/7, to the nearest integer? 8 What is the cube root of 174984 to the nearest integer? 56 What is 260835 to the power of 1/2, to the nearest integer? 511 What is 72535 to the power of 1/4, to the nearest integer? 16 What is 4081825 to the power of 1/2, to the nearest integer? 2020 What is the square root of 5511861 to the nearest integer? 2348 What is the cube root of 1148153 to the nearest integer? 105 What is the square root of 3147539 to the nearest integer? 1774 What is 403642 to the power of 1/2, to the nearest integer? 635 What is 1062117 to the power of 1/4, to the nearest integer? 32 What is 2566861 to the power of 1/2, to the nearest integer? 1602 What is the fourth root of 127131 to the nearest integer? 19 What is the cube root of 109917 to the nearest integer? 48 What is 12502853 to the power of 1/4, to the nearest integer? 59 What is 4156324 to the power of 1/2, to the nearest integer? 2039 What is the ninth root of 425451 to the nearest integer? 4 What is the ninth root of 9878 to the nearest integer? 3 What is the fifth root of 5274754 to the nearest integer? 22 What is 84620 to the power of 1/2, to the nearest integer? 291 What is the third root of 1518624 to the nearest integer? 115 What is the sixth root of 25667730 to the nearest integer? 17 What is the square root of 1010318 to the nearest integer? 1005 What is 256066 to the power of 1/3, to the nearest integer? 64 What is 5536018 to the power of 1/3, to the nearest integer? 177 What is 20531382 to the power of 1/3, to the nearest integer? 274 What is the seventh root of 230104 to the nearest integer? 6 What is the sixth root of 28558678 to the nearest integer? 17 What is 699178 to the power of 1/3, to the nearest integer? 89 What is 2250660 to the power of 1/10, to the nearest integer? 4 What is 908653 to the power of 1/4, to the nearest integer? 31 What is 2576035 to the power of 1/8, to the nearest integer? 6 What is the third root of 278387 to the nearest integer? 65 What is 571050 to the power of 1/7, to the nearest integer? 7 What is 17430851 to the power of 1/2, to the nearest integer? 4175 What is the cube root of 1388402 to the nearest integer? 112 What is the fourth root of 101154 to the nearest integer? 18 What is the cube root of 1322463 to the nearest integer? 110 What is 1121127 to the power of 1/7, to the nearest integer? 7 What is 458836 to the power of 1/2, to the nearest integer? 677 What is the square root of 577312 to the nearest integer? 760 What is 14318 to the power of 1/9, to the nearest integer? 3 What is the fourth root of 6196192 to the nearest integer? 50 What is the tenth root of 516823 to the nearest integer? 4 What is 1644493 to the power of 1/2, to the nearest integer? 1282 What is 2680366 to the power of 1/10, to the nearest integer? 4 What is 228436 to the power of 1/2, to the nearest integer? 478 What is the cube root of 677112 to the nearest integer? 88 What is the fifth root of 130338 to the nearest integer? 11 What is the tenth root of 343067 to the nearest integer? 4 What is 377867 to the power of 1/10, to the nearest integer? 4 What is 163492 to the power o
{ "pile_set_name": "DM Mathematics" }
-0.1, 0.05, 0.07? 0.05 Which is the closest to -56/5? (a) -0.2 (b) 4 (c) 88 (d) -0.7 d What is the nearest to 2 in 2/15, -9980, 0.04? 2/15 What is the nearest to -1/35 in 0.5, -5, -39, -22, 2? 0.5 Which is the closest to 887/3? (a) 22.448 (b) 5 (c) 3/4 a What is the closest to 0.1 in -101, -565, -0.3, -5, 0.2? 0.2 What is the closest to 1158897 in 27/4, 4, -1/7? 27/4 What is the nearest to -100 in 365, -0.5, -3/7, 4, 1/3? -0.5 What is the closest to 0.02 in -0.3, -393/17, 14/9, -3? -0.3 Which is the nearest to 0.206? (a) -207 (b) -0.22 (c) 1 (d) -4/3 b What is the nearest to -4/229 in 0.5, -61, 16, -0.3, -1? -0.3 Which is the nearest to 62? (a) 2/3 (b) 0 (c) 3/28 (d) 2 (e) 4 e What is the closest to -0.2 in 11/2, -0.18, 2, -2, 1/82? -0.18 What is the nearest to 100 in -1/4, -61, 4, 12, 20? 20 Which is the closest to 2? (a) 1 (b) 4/9 (c) 1015 (d) 8/219 a Which is the closest to 0? (a) -2 (b) -395 (c) -88/993 (d) -1/6 c What is the nearest to 2/3 in -1.57, -83.91, -1/9, 2? -1/9 Which is the closest to 0? (a) 0.1 (b) 0.02 (c) 5 (d) -4 (e) -1/5 (f) -356/11 b Which is the closest to 1? (a) 13/93 (b) 53/2 (c) -0.3 a What is the nearest to -2/5 in 9, 28, 20, 4/5? 4/5 What is the closest to -2 in -0.048, 501/20, 4, 5, -4? -0.048 What is the nearest to -0.056 in 2/4611, 11, 22, 0.2? 2/4611 Which is the nearest to 123/5? (a) -11 (b) 0.7 (c) 2/19 (d) 1/2 b Which is the closest to 1? (a) 0.2 (b) -0.28 (c) -73 (d) 7.1 (e) 1/4 e What is the closest to -2/3 in -14, 2/7, -7, -0.56114? -0.56114 Which is the closest to 2/13? (a) 0.6 (b) 0.2 (c) 70493/24 b Which is the closest to -6? (a) 0.0482 (b) -1 (c) -3 (d) 170 c What is the nearest to -1 in -622, -2/5, -15, 0.3, -351? -2/5 What is the closest to -214 in 0.7234, -1, -0.1, -0.2, -29, 0.3? -29 What is the closest to 0.07 in 0.933, -1/2, 24, -5? -1/2 Which is the nearest to -806/3? (a) -5 (b) 2 (c) -4/713 a What is the nearest to 0 in 2.4, 41653, 2/19, 4? 2/19 Which is the closest to -7? (a) 2 (b) -0.4 (c) 1 (d) 0.04 (e) -3/305 b What is the nearest to 48 in 0.5, -579, -4, 7.9? 7.9 Which is the nearest to -1/21? (a) -5 (b) 965 (c) -29 a Which is the closest to -2606? (a) -4/7 (b) -0.5 (c) 0 (d) 1/13 a Which is the nearest to -0.2? (a) 10 (b) 2567 (c) 217 a Which is the closest to -1808? (a) 0 (b) 3 (c) 9 a What is the closest to -67 in 2/7, -4/17, -0.4, 6, 2/15? -0.4 What is the nearest to -3/19 in 52/3, -52.8, 2/3, -0.04, 0.3, -1/7? -1/7 What is the closest to -22 in 3/3770, -5, 49? -5 What is the closest to 0 in 1/9, 3/4, -0.02, 0.5, -0.2326? -0.02 What is the closest to -22 in 1/8, -173, 3/5, 4, -2/9? -2/9 What is the nearest to 1 in -0.2, -505, -2.3, 4, 103? -0.2 Which is the closest to 29? (a) -10 (b) -3 (c) 2 (d) 730/3 (e) -2/5 c Which is the nearest to -2260? (a) 9/4 (b) -2/7 (c) -2/5 c What is the closest to 4503 in -3, -1/4, -0.3, 79/4, 3/5, 2/25? 79/4 Which is the nearest to -0.1? (a) -14/3 (b) -0.4 (c) -2/21 (d) 2/7 (e) 5 (f) 1 c What is the nearest to 1/204 in -4, -815, 1/12, 0.3, -0.3, 4/5? 1/12 Which is the closest to -4? (a) 5 (b) -33 (c) 0.5 (d) 172847 (e) -0.3 e What is the nearest to 6 in 12.35, -3, -1, 9, -3.6? 9 Which is the closest to -155? (a) 1 (b) 296 (c) 90/11 a What is the nearest to 0.1 in 2, 94, -3/2, -4693, -1? -1 Which is the nearest to -1/439? (a) 387 (b) 0 (c) -0.04 (d) 1/4 (e) 0.5 b What is the closest to -1 in 1436, 0.1, 477/5, -0.04, 3, -1/9? -1/9 Which is the closest to -2? (a) -0.63 (b) 14/743 (c) 0.4 a Which is the closest to -0.006? (a) 2 (b) -20174 (c) 0.25 c What is the closest to 3 in -0.03, -1, 667, 4/7, -2, -47? 4/7 What is the closest to 9 in 5/24, -90/17, -3? 5/24 Which is the nearest to 11.7? (a) 5 (b) -0.2 (c) -512 a What is the closest to 32/83 in 2.65, -0.041, -1/3? -0.041 What is the closest to -0.2231 in -0.04, 4, -7, -2/3, 1/6? -0.04 Which is the nearest to -2? (a) -179 (b) 0 (c) 7 (d) 5/8 (e) 2/7 b Which is the nearest to -23? (a) -1/2 (b) 2 (c) -6 (d) -16 (e) -11.9 d What is the closest to -26 in -4, -6/17, 0, -50, 1/4? -4 What is the closest to 0.99 in -5/6, -110, -6, -0.2? -0.2 What is the closest to -9/1729 in 1, 272, 1/4? 1/4 Which is the closest to 1? (a) 3008 (b) -6/13 (c) -2/7 c Which is the closest to 0? (a) -14 (b) 168 (c) -21 (d) -149 a Which is the nearest to -0.2? (a) -6.4 (b) -1 (c) 2 (d) -0.4 (e) 6/13 d Which is the closest to 50/51? (a) -18 (b) 3/10 (c) 0.26 b Which is the closest to 1? (a) -16 (b) 4 (c) -4.1658 b What is the closest to 0 in -724, -1/2, -8264? -1/2 What is the nearest to 0 in -25, -4, -2, 1, 632/3? 1 Which is the closest to -2/87? (a) 1 (b) -2/17 (c) -5/9 (d) 2/7 b Which is the nearest to -2.45? (a) -3 (b) -11 (c) -5 (d) -0.86 a Which is the nearest to -6.7? (a) -1/5 (b) -25 (c) -50 (d) 3 a Which is the closest to -11? (a) -11 (b) -0.1 (c) 13/54 (d) -10 (e) -0.3 a Which is the closest to 9? (a) 1204 (b) 0.113 (c) -4 b What is the closest to -100 in -58, -27, 1/4? -58 What is the closest to 2/7167 in -22, -1, -1/2, -0.3? -0.3 Which is the closest to -0.2? (a) 56 (b) 2/7 (c) -3 (d) 7/40 d Which is the nearest to -0.2? (a) -1 (b) -5.3 (c) -0.3 (d) -0.2 d Which is the closest to 27? (a) -34001 (b) -0.3 (c) -6 b What is the nearest to 80 in -5, 3/9694, 0.3, -2/13? 0.3 What is the closest to 42 in 1/2, -689, 2, 1/9? 2 Which is the nearest to -1? (a) 175 (b) 7/6 (c) 0.5 (d) 0.2 (e) 2.2 d What is the closest to 0.1 in 5, -12/11, 9, -10329? -12/11 What is the closest to -3/2 in -0.5241, 102, -5/3, -0.3, 0.3? -5/3 What is the closest to 1 in -26/7, 611, -2.27, 2/9, 2? 2/9 What is the closest to -28/23 in 1/2, 12/661, -3? 12/661 Which is the closest to -3? (a) 644 (b) -2/101 (c) 2 (d) 0 (e) 0.4 b What is the closest to 0.1 in 1/2, -7/8, -5, -0.6, -1359? 1/2 Which is the closest to -2/3? (a) 1/7340 (b) -2/9 (c) 486 (d) 0 b What is the closest to -10 in 2/7, -3/4, 17.5829, -0.04? -3/4 What is the closest to 2 in 6, 4.13, -2/11, 2/7? 2/7 What is the closest to -0.4 in -0.6, 2/11, -11, 2, -1/2? -1/2 What is the nearest to -2 in -580, 34, -0.1? -0.1 What is the nearest to 2/5 in 4, -219, -37? 4 What is the nearest to 1/3 in 5, -11.1532, -3/2, -2/3, -2/15? -2/15 What is the nearest to 0.1 in 253, 5, 2/123, 0, 4/3? 2/123 What is the nearest to 1 in 2378122, -4, 5? 5 What is the closest to 2/11 in 2/23, -5, 3/10, -2/17, 7/6? 2/23 What is the nearest to -26 in -2/9, -3875/7, -2/5, 0.4? -2/5 What is the nearest to 32536 in -2/11, 0.2, 0.6? 0.6 Which is the closest to -1? (a) -283 (b) -42 (c) -1/11 (d) -4 c Which is the nearest to -0.999? (a) 8 (b) -3/8 (c) -5/7 c What is the closest to 2/38631 in 0.5, -1.7, 3/8, 5, 1/4? 1/4 What is the nearest to 1 in 438.03, 15, -4? -4 What is the closest to 0.09 in -96/13, 9, -4, -17? -4 What is the nearest to -1 in 2/25, 5, -0.13, 255, -1/7? -1/7 Which is the closest to 26? (a) 1/2 (b) 0.1 (c) -1/8 (d) -39 (e) -46 (f) -0.4 a What is the nearest to 37 in -942, 5, -2/5, -3/5? 5 Which is the nearest to 1? (a) 0.05 (b) 10755 (c) 4 a Which is the nearest to -0.4? (a) 3/5 (b) 0.1 (c) 36 (d) -58 b Which is the nearest to -0.1? (a) -7/24 (b) -12 (c) 0.2 (d) 0.35 (e) -91 a Which is the nearest to -3847? (a) -1580 (b) -0.3 (c) -1/4 a Which is the nearest to -1288? (a) -20/17 (b) -0.5 (c) -3/4 (d) -1 a What is the nearest to 1/4 in -1/3, 2/3, -34, -64? 2/3 What is the closest to 0.2 in -58303.7, -1/6, -3, 3? -1/6 What is the closest to -1.5 in -1/7, -3, 41/11, -8/129? -1/7 What is the nearest to 582 in 0.07, -1/6, -17, -0.1? 0.07 What is the nearest to 3/4 in -4, -0.5, 1/5, -2, -3301? 1/5 What is the nearest to -647 in 1/2, -4, 4, -65? -65 What is the closest to 0.1 in -1, 0.6309, 4, 237? 0.6309 What is the closest to -1 in -2/15, 1311285, -0.4? -0.4 Which is the closest to 6? (a) -2/105 (b) 1/8 (c) 245/6 (d) 5 (e) -5 (f) -12 d Which is the closest to 5? (a) 3 (b) 4 (c) -3 (d) 22078 (e) 5 e What is the nearest to 2 in 5/3, -42, 1, 10, -16.76? 5/3 What is the nearest to 0.1 in 63/20, -0.2, 0, 3? 0 What is the nearest to 1355808 in -0.4, 2, -5? 2 Which is the closest to 2.9? (a) 4 (b) 0 (c) -0.3
{ "pile_set_name": "DM Mathematics" }
q(s) = 2*s**3 - 3*s**2 + 8*s - 3. Determine q(3). 48 Let q(u) = -u**3 + 20*u**2 - 19*u + 3. Give q(19). 3 Let j(f) = -f**3 + 4*f**2 + 3*f - 9. Give j(4). 3 Let l(i) = -i**3 + 42*i**2 - 42*i + 40. Calculate l(41). -1 Let p(m) = 2*m + 9. Determine p(-5). -1 Let t(y) = y**3 + 9*y**2 + 8*y - 3. What is t(-8)? -3 Let l(h) = -3*h**3 - 10*h**2 - 6*h - 2. Determine l(-5). 153 Let m(f) = -44*f**2 + 570*f + 12. Give m(13). -14 Let l(i) = 12*i - 13. What is l(-7)? -97 Let c(n) = -6*n + 105. Calculate c(19). -9 Let t(z) = 2*z - 38. Calculate t(12). -14 Let v(t) = -t**3 + 6*t**2 - 10*t + 23. Determine v(5). -2 Let z(a) = -a**2 + 6*a + 5. Give z(7). -2 Let c(j) = -2*j - 9. Determine c(-5). 1 Let m(j) = 4*j**2 + 16*j - 2. Give m(-4). -2 Let n(t) = -t**3 + 47*t**2 - 48*t + 63. Give n(46). -29 Let u(r) = -r**3 + 38. What is u(0)? 38 Let p(k) = 8*k + 42. Determine p(-26). -166 Let g(u) = u + 17. Give g(-19). -2 Let k(j) = j**2 + 12*j - 4. Calculate k(-13). 9 Let k(m) = -3*m - 1. Give k(-6). 17 Let y(b) = -b**3 - 21*b**2 - 69*b - 21. Give y(-17). -4 Let q(p) = p**2 + 14*p - 63. Determine q(-16). -31 Let w(s) = s**2 + 27*s - 2. Determine w(-29). 56 Let o(m) = m**3 - 10*m**2 + m - 16. What is o(10)? -6 Let p(z) = -z**3 + 13*z**2 - z + 15. Determine p(13). 2 Let x(f) = f**2 + 10*f + 13. Determine x(-7). -8 Let z(b) = -108*b**2 + b - 1. What is z(1)? -108 Let i(w) = 45*w**3 - 2*w**2 - w. Give i(-1). -46 Let r(s) = 2*s + 19. Calculate r(-8). 3 Let h(b) = -2*b**2 - b + 2. Give h(2). -8 Let s(j) = -j + 3. Calculate s(0). 3 Let p(t) = -t**2 - t + 132. What is p(0)? 132 Let o(s) = 7*s**2 - s - 2. Calculate o(-2). 28 Let q(d) = -8*d - 211. Calculate q(-26). -3 Let l(k) = 21*k**3 + 2*k**2 - 4*k + 6. What is l(2)? 174 Let c(n) = -5*n + 24. Calculate c(10). -26 Let s(j) = -j**2 - 2*j + 2. Give s(0). 2 Let m(f) = f**3 - 11*f**2 + 15*f - 9. Calculate m(10). 41 Let x(b) = -b**2 + 2*b + 3. What is x(6)? -21 Let t(y) = 15*y - 30. Give t(7). 75 Let j(n) = n**3 - 7*n**2 + 4*n + 4. Give j(6). -8 Let m(n) = 4*n + 66. Give m(-16). 2 Let x(a) = 5*a - 17. Calculate x(5). 8 Let i(l) = -10*l - 50. What is i(10)? -150 Let j(z) = z**3 + 17*z**2 + 17*z. Give j(-16). -16 Let l(v) = -2*v**2 + v - 10. Calculate l(0). -10 Let n(f) = f - 30. Calculate n(6). -24 Let y(z) = -z**3 + 7*z**2 - 4*z + 5. What is y(5)? 35 Let f(w) = -29*w + 1. What is f(-1)? 30 Let y(m) = -8*m + 2. Determine y(-3). 26 Let h(x) = -x**3 - 31*x**2 - x - 29. What is h(-31)? 2 Let n(g) = -g**3 + g**2 - g - 7. Calculate n(0). -7 Let g(h) = -h**3 + 2*h**2 + 3*h + 11. What is g(0)? 11 Let l(g) = -g**2 - 19*g - 84. Calculate l(-12). 0 Let u(o) = 5*o - 82. Calculate u(15). -7 Let g(b) = -b + 2. What is g(2)? 0 Let y(w) = -12*w - 14. Calculate y(-5). 46 Let q(p) = -55*p + 389. Give q(7). 4 Let d(h) = -2*h**2 + 5*h - 1. What is d(4)? -13 Let v(a) = -a**3 - 11*a**2 + 11*a + 17. Give v(-12). 29 Let c(u) = -2*u**2 - 4*u + 7. Give c(-5). -23 Let k(f) = f**3 + 7*f**2 + 3. Calculate k(-7). 3 Let z(b) = -2*b**3 - 5*b**2 - 7*b - 5. Give z(-2). 5 Let w(n) = n**3 + n**2 - 2*n + 10. Determine w(0). 10 Let l(d) = 2*d**2 + 51*d - 27. Determine l(-26). -1 Let c(i) = i**2 - 29*i + 13. Give c(25). -87 Let s(n) = n**3 + 23*n**2 + 20*n - 40. What is s(-22)? 4 Let j(p) = p**3 - 7*p**2 - p + 38. Give j(6). -4 Let a(o) = 2*o**3 + 3*o**2 - 4*o - 4. What is a(-3)? -19 Let z(x) = x**2 - 10*x + 8. Determine z(6). -16 Let n(k) = -k - 19. Calculate n(-10). -9 Let w(y) = y**2 + 17*y + 5. Calculate w(-17). 5 Let q(k) = -17*k + 56. What is q(7)? -63 Let q(i) = -i**3 + 4*i**2 + 5*i - 1. Determine q(4). 19 Let a(y) = -10*y**3 - 3*y**2 - 4*y + 1. Determine a(-1). 12 Let a(o) = 38*o + 4. Determine a(-3). -110 Let f(w) = w**3 - 6*w**2 + 2*w - 7. What is f(6)? 5 Let u(p) = 2*p**2 - 9*p - 15. Determine u(7). 20 Let p(h) = -5*h + 30. Give p(9). -15 Let f(x) = -12*x + 6. What is f(-3)? 42 Let g(l) = -2*l**3 + 12*l**2 - l - 2. What is g(6)? -8 Let j(d) = -27*d**3 - 2*d**2 + 1. Give j(1). -28 Let k(h) = -h**2 + 12*h - 10. Determine k(5). 25 Let k(c) = -c**2 - 11*c - 21. Give k(-6). 9 Let l(u) = -u**2 + 2*u - 9. Determine l(6). -33 Let d(f) = f**3 - 7*f**2 + 11*f. Give d(5). 5 Let p(u) = u**3 + 12*u**2 - 14*u - 26. Give p(-13). -13 Let r(o) = o**2 - 9*o - 169. Determine r(19). 21 Let v(o) = -o**2 + 14*o - 6. What is v(14)? -6 Let y(l) = -33*l - 191. What is y(-7)? 40 Let j(f) = f**2 + 5*f - 29. Give j(-7). -15 Let d(b) = -b - 2. Calculate d(-6). 4 Let p(g) = -g**3 + 10*g**2 - 7*g - 18. What is p(8)? 54 Let y(b) = -b - 8. What is y(-9)? 1 Let y(j) = 21*j - 4. What is y(0)? -4 Let j(w) = -4*w + 5. What is j(-5)? 25 Let d(b) = -9*b - 143. Determine d(-20). 37 Let o(d) = -d**3 + 7*d**2 + d - 3. What is o(7)? 4 Let w(y) = -14*y + 2. What is w(3)? -40 Let x(c) = -4*c - 42. Give x(0). -42 Let s(f) = 13*f - 66. Calculate s(5). -1 Let k(q) = q**3 + 6*q**2 - 3*q + 5. Determine k(-6). 23 Let f(v) = -4*v - 8. Calculate f(10). -48 Let k(c) = 3*c**2 - 28*c - 3. Give k(8). -35 Let y(i) = -i**2 - 12*i - 45. What is y(-6)? -9 Let p(f) = 4*f + 12. Give p(-13). -40 Let v(u) = -u**3 + 8*u**2 - 8. Determine v(8). -8 Let i(w) = -9*w - 165. Calculate i(-16). -21 Let u(z) = -2*z**3 + 9*z**2 + 15*z - 1. What is u(6)? -19 Let v(x) = -60*x**2 - 3*x - 2. Calculate v(-1). -59 Let t(g) = -10*g - 317. Give t(-32). 3 Let h(l) = -l**3 + 14*l**2 + 15*l + 8. What is h(15)? 8 Let t(h) = -8*h**3 - h**2 + 1. What is t(1)? -8 Let p(k) = k**3 + 5*k**2 + 4*k - 5. What is p(-4)? -5 Let l(g) = -3*g**2 + 6*g + 21. Calculate l(-4). -51 Let w(d) = -d**3 - 10*d**2 - 8*d + 7. Determine w(-9). -2 Let h(s) = 35*s - 3. Calculate h(1). 32 Let v(j) = -j - 42. Determine v(0). -42 Let i(h) = -25*h + 28. Give i(2). -22 Let i(w) = w**2 - 16*w + 53. Calculate i(11). -2 Let w(p) = -p**3 + 13*p**2 + 2*p - 13. Calculate w(13). 13 Let o(n) = 727*n - 4366. Give o(6). -4 Let s(x) = x**2 - 18*x - 10. What is s(18)? -10 Let d(j) = 3*j**3 + 28*j**2 - 23*j - 31. What is d(-10)? -1 Let b(u) = -u**3 - 13*u**2 - u + 17. What is b(-13)? 30 Let d(c) = c**3 + c**2 - 13*c - 11. Determine d(-4). -7 Let g(d) = -d**2 + 2*d - 2. Give g(3). -5 Let j(h) = -2*h**2 + 23*h + 13. Give j(13). -26 Let j(i) = -14*i**2 - 3*i + 2. Calculate j(2). -60 Let v(g) = -8*g**3 + 2*g**2 - 2*g - 2. Determine v(-1). 10 Let k(s) = -2*s**2 - 45*s - 33. What is k(-22)? -11 Let q(d) = d**2 - 3*d - 5. Give q(4). -1 Let p(n) = 2*n**2 + 31*n + 18. Give p(-15). 3 Let h(s) = -s**2 + 17*s + 2. Determine h(17). 2 Let j(z) = -z**2 - 4*z - 1. Give j(-5). -6 Let g(p) = -p**2 + 11*p + 4. Calculate g(8). 28 Let z(d) = -d**2 + 7*d + 44. Calculate z(11). 0 Let x(o) = -24*o - 4. Calculate x(-4). 92 Let o(r) = 5*r + 9. Give o(6). 39 Let o(q) = -q**2 + 14*q + 15. What is o(-8)? -161 Let x(w) = -w**3 + 6*w**2 + 9*w - 15. Determine x(7). -1 Let k(b) = 8*b**2 + 43*b + 10. Determine k(-4). -34 Let d(b) = -b**3 + 6*b**2 - 3*b + 7. Determine d(7). -63 Let n(h) = 5*h**3 - 10*h**2 - 4*h + 4. Calculate n(2). -4 Let c(z) = z**3 - 13*z**2 + 7. Give c(13). 7 Let a(p) = 6*p - 16. Determine a(-8). -64 Let u(q) = 8*q + 3. Determine u(-6). -45 Let x(b) = -2*b**2 + 57*b + 43. What is x(31)? -112 Let p(y) = -16*y + 24. Give p(6). -72 Let v(n) = -n**3 + 14*n**2 - n + 12. Give v(14). -2 Let m(c) = 5*c + 27. Determine m(-13). -38 Let n(h) = -13*h**3 - 6*h**2 + 9*h - 2. Calculate n(1). -12 Let n(k) = -76*k - 457. Give n(-6). -1 Let s(d) = 2*d**3 + 34*d**2 - 35*d + 24. Determine s(-18). 6 Let p(l) = l - 1. Give p(-5). -6 Let s(d) = 52*d**2 + 1. Calculate s(-1). 53 Let f(o) = -4*o**2 + 39*o - 10. Determine f(10). -20 Let i(z) = -8*z - 4. Calculate i(-3). 20 Let c(h) = h**3 - 15*h**2 + 18*h + 2. What is c(14)? 58 Let l(h) = h - 22. Give l(16). -6 Let z(v) = 21*v + 2. Give z(1). 23 Let g(m) = -67*m**3 + 5*m**2 + 6*m + 3. Determine g(-1). 69 Let d(s) = s**3 + s**2 - 3*s - 2. What is d(3)? 25 Let b(t) = 4*t - 19. Determine b(-6). -43 Let g(n) = n**3 + 4*n**2 - 9. Calculate g(-4). -9 Let i(z) = -z**2 - 3*z + 46. Calculate i(5). 6 Let v(s) = 2*s**2 + 44*s - 341. Determine v(6). -5 Let s(d) = 2*d**2 - 24*d - 3. Calculate s(12). -3 Let h(g) = g**3 - 19*g**2 - 20. Determine h(19). -20 Let h(d) = -29*d + 209. Calculate h(7). 6 Let r(s) = -11*s + 1. Determine r(-3). 34 Let g(n) = -50*n + 496. Calculate g(10). -4 Let k(x) =
{ "pile_set_name": "DM Mathematics" }
(t) = -51*t + 21. Let m(h) = 5*h + 0*h + 0*h - 2. Let k = 30 + -32. Determine k*l(x) - 21*m(x). -3*x Let r(a) = a**3 + 4*a + 5. Let j(u) = u**3 + 5*u + 6. Calculate -4*j(h) + 5*r(h). h**3 + 1 Let o(q) = -2*q. Let c(g) = 8*g + 1. Give -2*c(w) - 9*o(w). 2*w - 2 Let g(v) = -v**2 + 6*v - 8. Let c(r) = -r**2 + 7*r - 7. What is -6*c(i) + 7*g(i)? -i**2 - 14 Let u(l) = 3*l + 1. Suppose 3*s = h - 17, 6 - 1 = 5*h + s. Let k(m) = 2*m + h - 1 + 0. Give -5*k(b) + 3*u(b). -b - 2 Let p(r) = 17*r - 9. Let d(k) = 4*k - 2. Let g = -7 - -5. Suppose 38 = 2*j + 5*n, 2*j - 2*n - 2 = 2*n. Determine g*p(o) + j*d(o). 2*o Let r(u) = -7*u**3 + 3*u**2 + u. Let o(a) = 13*a**3 - 5*a**2 - 2*a. What is 6*o(q) + 11*r(q)? q**3 + 3*q**2 - q Let u(h) be the second derivative of 4*h**3/3 - 5*h**2/2 + 8*h. Let c(j) = -7*j + 4. What is 5*c(w) + 4*u(w)? -3*w Let p(z) = 3*z - 26. Let d(w) = -7*w + 53. What is -2*d(f) - 5*p(f)? -f + 24 Let t(g) = -g**3 + 3*g**2 - 3*g + 9. Let y(a) = -2*a**3 + 4*a**2 - 4*a + 10. What is 6*t(o) - 5*y(o)? 4*o**3 - 2*o**2 + 2*o + 4 Let x(u) = 15*u**3 + 11*u**2 - u + 11. Let d(v) = -3*v**3 - 2*v**2 - 2. Give 11*d(s) + 2*x(s). -3*s**3 - 2*s Let j(q) = 7*q**3 - 7*q - 1. Let c = -17 - -19. Let t(n) be the first derivative of -13/4*n**4 + 13/2*n**c + 1 + 0*n**3 + 2*n. Determine -11*j(m) - 6*t(m). m**3 - m - 1 Let s(u) = -2*u - 6. Let g(b) = -2*b - 7. Give 5*g(c) - 6*s(c). 2*c + 1 Let g(b) = 2*b + 3. Let a(z) = 4*z + 7. Determine -2*a(c) + 5*g(c). 2*c + 1 Let n(j) = 4*j**3 - 2*j**2. Let a(f) = f**3 - f**2 - f - 1. Let q(c) = 15*c**3 - 5*c**2 + 6*c + 6. Let r(u) = 6*a(u) + q(u). Give 33*n(w) - 6*r(w). 6*w**3 Let r(l) = l**2 - 3*l - 1. Let f be r(5). Let m(t) = -15*t**3 + 9*t**2 - 9*t - 9. Let p(i) = 7*i**3 - 4*i**2 + 4*i + 4. Give f*p(j) + 4*m(j). 3*j**3 Let p(c) be the second derivative of -7*c**3/3 + 2*c. Let a(f) be the third derivative of f**4/24 + 3*f**2. Determine 12*a(m) + p(m). -2*m Let x(z) = 17*z. Let n be (-4)/22 - 136/(-22). Let t(r) = 8*r. Give n*x(s) - 13*t(s). -2*s Let p(c) = 7*c + 12. Let q(k) = -15*k - 25. Let r(f) = -13*p(f) - 6*q(f). Let i(j) = 1. Let o(v) = -6*i(v) - r(v). Let d(l) = -6*l. Determine -d(m) - 5*o(m). m Let f(t) = 5*t + 9. Let l(r) = 4*r - 5*r - r - 4. Suppose -2*u - u = -18. Calculate u*f(w) + 14*l(w). 2*w - 2 Let v(n) be the second derivative of -6*n + 0 + 1/4*n**4 + 5/6*n**3 + 0*n**2. Let w(f) = 2*f**2 + 3*f. Calculate 3*v(k) - 5*w(k). -k**2 Let o(q) = -4*q**3 + q**2 + 4*q - 2. Let i(n) = 9*n**3 - 2*n**2 - 9*n + 5. Let h(b) = b**3 + 9*b**2 - b - 7. Let l be h(-9). Give l*i(s) + 5*o(s). -2*s**3 + s**2 + 2*s Let t(j) = 92*j. Let y(l) = 2852*l. Determine -92*t(h) + 3*y(h). 92*h Let d(y) = y**2 + y + 1. Let p(z) = 39*z**2 + 26*z + 26. Calculate -26*d(b) + p(b). 13*b**2 Let j(q) = 4*q**3 - 3*q**2 + 3*q - 3. Suppose -i = -4*i. Let b = i + 3. Let k(d) = -3*d**2 + 4*d**2 - 5*d**3 + 3*d**2 + 6 - 2 - 4*d. What is b*k(x) + 4*j(x)? x**3 Let x(c) = -13*c**2 + 10*c - 13. Let q(o) = 9*o**2 - 7*o + 9. What is 7*q(d) + 5*x(d)? -2*d**2 + d - 2 Let c(q) = -2*q + 3. Let j = 36 - 22. Suppose 5*m - 3 = 4*s - 6, 3 = -2*m + s. Let g(z) = -10*z + 14. Give j*c(l) + m*g(l). 2*l Let i(p) = p + 1. Let n(q) = 6*q + 6. Give 10*i(g) - 2*n(g). -2*g - 2 Suppose -4*b = -3*b - 10. Let o(x) = 4 - b + 4 - x. Let m(q) = q + 2. Calculate 3*m(l) + 4*o(l). -l - 2 Let p(m) = m**2 - m - 1. Let c = 14 + 2. Suppose c = -2*k - 0*k. Let y(i) = -10*i**2 + 6*i + 10. Calculate k*p(s) - y(s). 2*s**2 + 2*s - 2 Let q(k) = 8*k**3 + k**2 - 2*k + 2. Let y(x) = -x**3 + x - 1. Determine -q(w) - 2*y(w). -6*w**3 - w**2 Let h(o) = -2*o**3 + 3*o**2 + 3*o - 3. Suppose 2*c - 47 = 17. Let s be c/5 + (-2)/5. Let w(b) = b**3 - b**2 - b + 1. Calculate s*w(n) + 2*h(n). 2*n**3 Let r(y) = -y - 1. Let u(x) = -x. Let d = -52 + 51. Give d*r(o) + 3*u(o). -2*o + 1 Suppose 0 = 2*x + 5*y + 6, -8 - 5 = x + 5*y. Let t(w) = -12*w + 10. Let n(p) = -3*p + 2. Let c(f) = -9*n(f) + 2*t(f). Let v(g) = -5*g - 4. Give x*c(s) + 4*v(s). s - 2 Let a(x) be the third derivative of x**5/15 - x**3/6 + 3*x**2. Let v(y) = -9*y**2 + 3. What is -5*a(r) - 2*v(r)? -2*r**2 - 1 Let w(f) = -4*f**3 + 5*f + 4. Let q = -2 + 7. Suppose q*o = 1 - 11. Let g = o + 7. Let l(i) = -3*i**3 + 4*i + 3. Determine g*l(t) - 4*w(t). t**3 - 1 Let o(v) = -43*v**3 + 6*v**2 + 6*v + 6. Let d(x) = -301*x**3 + 43*x**2 + 43*x + 43. Determine 6*d(z) - 43*o(z). 43*z**3 Let j(o) be the third derivative of -o**5/10 - 7*o**3/6 + 4*o**2. Let u(p) = 3*p - 1. Let b be u(-1). Let g(h) = -5*h**2 - 6. Determine b*j(m) + 5*g(m). -m**2 - 2 Let t = 1 - 5. Let x = t + 6. Let b(g) = 5*g**2 + 2 - g**x + 6 + 0. Let z(s) = s**2 + 1. Calculate -b(c) + 6*z(c). 2*c**2 - 2 Suppose 18*v = 22*v + 24. Let s(r) = 20*r - 11. Let p(o) = 7*o - 4. What is v*s(j) + 17*p(j)? -j - 2 Suppose -3*m + 3 = -3*z, -5*z - 5*m = -14 - 11. Let g(i) = 5*i + 6*i**3 + 0*i**2 - 6*i - 3*i**z. Let p(v) = -7*v**3 + 4*v**2 + v. Calculate -6*g(l) - 5*p(l). -l**3 - 2*l**2 + l Let y(p) = -p**3 - p**2 + 1. Let c(x) be the second derivative of x**5/4 + 5*x**4/12 - 2*x**2 + 3*x. Give -c(v) - 4*y(v). -v**3 - v**2 Let y(o) = 11*o**3 - 5*o**2 + 7. Let x(k) = 6*k**3 - 3*k**2 + 4. Suppose -b + 4*h + 27 = 0, 7*h - 3*h + 20 = 0. Calculate b*x(f) - 4*y(f). -2*f**3 - f**2 Let t(s) = -4*s - 30. Let w(j) = -j - 10. What is -2*t(f) + 7*w(f)? f - 10 Let b(z) = 7*z**2 - 4*z - 4. Let q(r) = -13*r**2 + 7*r + 9. Let n(s) = 5*b(s) + 3*q(s). Let d(f) = -3*f**2 + f + 5. Let c = 6 - 11. Calculate c*n(y) + 7*d(y). -y**2 + 2*y Let x(l) = -5406*l**2 + 689*l - 689. Let c(u) = 47*u**2 - 6*u + 6. Give -689*c(i) - 6*x(i). 53*i**2 Let t(l) = -l - 2. Let d(j) = -2*j - 4. What is 4*d(p) - 9*t(p)? p + 2 Let b(q) = -61*q + 2. Let t(n) = 30*n - 1. What is -4*b(p) - 7*t(p)? 34*p - 1 Let u(f) = -8*f**3 - 6*f**2 - f + 7. Let h be (-14)/6 + 20/15. Let c(z) = -z**3 - z**2 + 1. Let a be (2 - 1)*6*1. Determine a*c(o) + h*u(o). 2*o**3 + o - 1 Let n(l) = -2*l**3 - 2*l + 3. Let i be 4 - (-1 - 1 - -2). Let w(u) be the second derivative of u**5/20 + u**3/3 - u**2 + 6*u. Determine i*w(x) + 3*n(x). -2*x**3 + 2*x + 1 Let z(c) be the first derivative of -3*c**2/2 - 6*c + 2. Let v(j) = j + 1. Let l = 2 - 3. Determine l*z(m) - 4*v(m). -m + 2 Let y(u) = -u**2 + u + 7. Let h(i) = -i**2 + 3. Calculate -5*h(o) + 3*y(o). 2*o**2 + 3*o + 6 Let c(i) = 3*i**3 + 2*i**2 + 2*i + 2. Let z be 6/(1/3 + 0). Let d = -1336 - -1340. Let y(v) = -13*v**3 - 9*v**2 - 9*v - 9. Calculate d*y(a) + z*c(a). 2*a**3 Let z(a) = 3*a**2 + 2*a - 2. Let o(p) = -10*p**2 - 7*p + 7. Let q = 6 - 10. Determine q*o(d) - 14*z(d). -2*d**2 Let j(b) = -7*b**2 - 6*b + 6. Let t(o) = -13*o**2 - 11*o + 11. Let u(y) = -y**3 + 5*y**2 + 5*y. Let f be u(6). Let w = 27 - 16. What is f*t(d) + w*j(d)? d**2 Let o(v) = -4*v. Suppose -4*x = 0, -2*t + 3*t - x = 1. Suppose n + 6 - t = 0. Let g(f) be the second derivative of f**3/3 - f. Determine n*g(h) - 2*o(h). -2*h Let i(z) = 6*z. Let m(r) = 2*r. Determine 6*i(u) - 20*m(u). -4*u Let k(w) = 3*w. Let j(r) = 4*r. What is 5*j(b) - 6*k(b)? 2*b Let a = 52 + -46. Let b(j) = -j**3 + j. Let n(h) = 5*h**3 + h**2 - 7*h. Give a*b(w) + n(w). -w**3 + w**2 - w Let c(y) be the first derivative of y - 1/3*y**3 + 0*y**2 + 1. Let s(w) = -2*w**3 - 5*w**2 - w + 5. Calculate -5*c(o) + s(o). -2*o**3 - o Let o = -74 - -71. Let i(g) = 2*g + 5. Let k(f) be the second derivative of f**3/6 + 3*f**2/2 - f. Give o*i(w) + 5*k(w). -w Let j(x) = 6*x + 32. Let r(t) = -13*t - 65. What is -9*j(m) - 4*r(m)? -2*m - 28 Let u(z) = -z**3. Let k(r) = 8*r**3. Let y be (-11)/(-2) - (-13)/26. Determine y*u(l) + k(l). 2*l**3 Let k(v) = 3*v**2 + 2. Let r be (2 + -1)/(14/(-84)). Let l be (4/r)/(7/84). Let x(c) = -2*c**2 - 1. Calculate l*x(g) - 5*k(g). g**2 - 2 Let x(g) = g. Let h(b) = 14*b. Give h(r) + 3*x(r). 17*r Let o(c) = c**2 - 2*c. Let t(s) = 3*s. Determine -3*o(h) - 2*t(h). -3*h**2 Let c(h) = h - 7. Let a be c(5). Let b(w) = 7*w - 5. Let t(s) be the second derivative of s**3/2 - s**2 + 46*s. What is a*b(q) + 5*t(q)? q Let u(a) = a**3 + a**2 - a + 1. Let g(y) = 4*y**3 + y**2 - y + 2. Calculate g(j) - 2*u(j). 2*j**3 - j**2 + j Let g(x) = 3*x**2 + 3*x + 3. Let s(r) = 5*r**2 + 5*r + 5. Let y = 11 - 6. Determine y*s(i) - 8*g(i). i**2 + i + 1 Let b(w) = -2*w + 13. Let o be (-2)/(-4)*(11 + -3). Let t(s) = s - 6.
{ "pile_set_name": "DM Mathematics" }
ut replacement from ybybbbybbyyvv. What is prob of sequence vbb? 5/143 Calculate prob of sequence qqmm when four letters picked without replacement from {q: 4, m: 9, x: 1}. 36/1001 Two letters picked without replacement from {j: 3}. What is prob of sequence jj? 1 What is prob of sequence ge when two letters picked without replacement from {z: 1, r: 2, h: 1, e: 1, n: 1, g: 1}? 1/42 What is prob of sequence bmbm when four letters picked without replacement from {b: 2, q: 1, v: 1, t: 3, m: 2, z: 9}? 1/18360 Calculate prob of sequence ccc when three letters picked without replacement from cccc. 1 What is prob of sequence qjde when four letters picked without replacement from {q: 7, j: 1, e: 3, d: 1}? 7/3960 Four letters picked without replacement from {s: 3, q: 2, v: 5}. Give prob of sequence svss. 1/168 Two letters picked without replacement from {d: 3, b: 2, y: 3, k: 1, r: 1}. Give prob of sequence yr. 1/30 What is prob of sequence yfoy when four letters picked without replacement from {y: 11, a: 4, f: 2, o: 2}? 55/11628 What is prob of sequence ff when two letters picked without replacement from tvvfvfbvvvttftb? 1/35 Three letters picked without replacement from yyynnnnnyyyym. What is prob of sequence yym? 7/286 Two letters picked without replacement from {y: 9}. What is prob of sequence yy? 1 Three letters picked without replacement from lwwnwswnnlswrwo. Give prob of sequence wso. 2/455 What is prob of sequence qq when two letters picked without replacement from qqqqqqqqxxqxxqxq? 11/24 Two letters picked without replacement from tyepzdd. Give prob of sequence ey. 1/42 Calculate prob of sequence fae when three letters picked without replacement from {e: 4, s: 2, a: 1, f: 4, q: 1, p: 2}. 2/273 Calculate prob of sequence ggzz when four letters picked without replacement from {z: 5, g: 2}. 1/21 What is prob of sequence bd when two letters picked without replacement from {b: 3, o: 3, d: 1}? 1/14 Calculate prob of sequence ddgg when four letters picked without replacement from muuumgguuuuuddgqu. 1/4760 What is prob of sequence sn when two letters picked without replacement from sana? 1/12 Three letters picked without replacement from {z: 3, m: 9}. Give prob of sequence zmm. 9/55 Calculate prob of sequence uyy when three letters picked without replacement from oypououoouoooozyo. 1/680 Two letters picked without replacement from {l: 1, t: 3, d: 7, n: 2, g: 1}. What is prob of sequence dg? 1/26 What is prob of sequence qqq when three letters picked without replacement from {q: 10}? 1 Two letters picked without replacement from vwwwwwwweehweqwwq. Give prob of sequence wq. 5/68 Calculate prob of sequence ele when three letters picked without replacement from {l: 1, h: 3, e: 6, x: 5, m: 2}. 1/136 Two letters picked without replacement from {a: 8, b: 2, j: 8}. What is prob of sequence bj? 8/153 What is prob of sequence djj when three letters picked without replacement from {j: 6, d: 7}? 35/286 Calculate prob of sequence wwc when three letters picked without replacement from {c: 3, w: 15}. 35/272 Calculate prob of sequence wru when three letters picked without replacement from wfwrffggwyfwufw. 1/546 Calculate prob of sequence pflz when four letters picked without replacement from {l: 1, p: 2, f: 1, z: 1}. 1/60 What is prob of sequence aaaa when four letters picked without replacement from aaaaaaaaa? 1 What is prob of sequence hpha when four letters picked without replacement from {p: 1, h: 4, a: 3, q: 6, d: 2}? 3/3640 Two letters picked without replacement from tqqtqqtteqetttqeett. Give prob of sequence tq. 3/19 Two letters picked without replacement from {w: 1, z: 3, t: 1, f: 2}. What is prob of sequence wf? 1/21 What is prob of sequence ikqx when four letters picked without replacement from {k: 3, z: 1, i: 3, x: 6, c: 3, q: 1}? 9/9520 Calculate prob of sequence sx when two letters picked without replacement from {h: 8, x: 1, s: 4, g: 5}. 2/153 What is prob of sequence uh when two letters picked without replacement from {h: 1, r: 1, u: 2}? 1/6 Two letters picked without replacement from {t: 5, a: 4, d: 1, r: 5}. What is prob of sequence rt? 5/42 Two letters picked without replacement from fmmkpmi. What is prob of sequence fi? 1/42 Calculate prob of sequence dyd when three letters picked without replacement from {l: 1, y: 1, d: 3}. 1/10 Four letters picked without replacement from zlnnxxnxaxrnanx. What is prob of sequence arxn? 5/3276 Four letters picked without replacement from ggggggg. Give prob of sequence gggg. 1 Three letters picked without replacement from {p: 5}. Give prob of sequence ppp. 1 Three letters picked without replacement from {q: 2, u: 3, p: 2, i: 4, j: 1, y: 6}. Give prob of sequence pyq. 1/204 What is prob of sequence ze when two letters picked without replacement from {b: 6, n: 3, h: 1, z: 4, e: 1, w: 1}? 1/60 Calculate prob of sequence bss when three letters picked without replacement from sbssbsssbssbsssbss. 65/408 Three letters picked without replacement from {e: 8, q: 3}. What is prob of sequence qqq? 1/165 Three letters picked without replacement from bccskscbkbbkknw. What is prob of sequence wks? 4/1365 What is prob of sequence ww when two letters picked without replacement from gwwggggg? 1/28 Four letters picked without replacement from qqbq. What is prob of sequence qqbq? 1/4 Calculate prob of sequence urry when four letters picked without replacement from {y: 3, c: 3, d: 1, r: 2, u: 1}. 1/840 Calculate prob of sequence ii when two letters picked without replacement from {i: 12, z: 1}. 11/13 Calculate prob of sequence qa when two letters picked without replacement from {a: 5, q: 3, r: 2}. 1/6 Two letters picked without replacement from uuurpppfnrfuuu. Give prob of sequence fp. 3/91 Three letters picked without replacement from {q: 1, x: 1, c: 1}. What is prob of sequence qqc? 0 What is prob of sequence bjw when three letters picked without replacement from wyjjywybyybyyyjyby? 1/272 Two letters picked without replacement from {u: 3, m: 4, y: 1}. Give prob of sequence um. 3/14 Calculate prob of sequence nb when two letters picked without replacement from {e: 2, h: 1, n: 1, b: 1}. 1/20 Calculate prob of sequence wv when two letters picked without replacement from {v: 1, w: 1, r: 11}. 1/156 Calculate prob of sequence trtr when four letters picked without replacement from {r: 5, t: 5}. 5/63 Four letters picked without replacement from {j: 4, y: 3, h: 1, t: 7, d: 1}. Give prob of sequence ddhh. 0 Two letters picked without replacement from {f: 1, z: 1, q: 1}. Give prob of sequence fq. 1/6 Four letters picked without replacement from {k: 6, m: 4, o: 3, u: 6}. Give prob of sequence uuko. 15/2584 Calculate prob of sequence jj when two letters picked without replacement from {v: 2, s: 8, j: 5}. 2/21 Two letters picked without replacement from {k: 1, u: 2, w: 1, d: 2, f: 1, p: 1}. Give prob of sequence du. 1/14 What is prob of sequence plp when three letters picked without replacement from lplp? 1/6 What is prob of sequence yit when three letters picked without replacement from ityiityt? 3/56 Three letters picked without replacement from tqqiprh. What is prob of sequence qrt? 1/105 Calculate prob of sequence qgq when three letters picked without replacement from qgssqsqqgsdgs. 3/143 Calculate prob of sequence fp when two letters picked without replacement from nhhfhnthtfptnta. 1/105 What is prob of sequence fff when three letters picked without replacement from {f: 4}? 1 Three letters picked without replacement from {y: 5, l: 8}. What is prob of sequence lll? 28/143 What is prob of sequence tdt when three letters picked without replacement from ttuudttdd? 1/14 Four letters picked without replacement from nhgnyngpyy. What is prob of sequence hpgg? 1/2520 Three letters picked without replacement from {v: 4, m: 1, j: 2}. What is prob of sequence mjj? 1/105 What is prob of sequence sioi when four letters picked without replacement from {w: 2, s: 1, o: 1, i: 2, h: 2}? 1/840 Three letters picked without replacement from jelcqqlellcctll. Give prob of sequence tej. 1/1365 Calculate prob of sequence az when two letters picked without replacement from {k: 3, z: 3, a: 12}. 2/17 Three letters picked without replacement from yyyyyyyyyy. Give prob
{ "pile_set_name": "DM Mathematics" }
863 - 851. Which is the third smallest value? (a) -3 (b) k (c) -3.2 (d) 2 d Suppose 2*w + 96 = -r, -13*r + 5*w - 319 = -9*r. Let h = r - -259/3. Which is the biggest value? (a) 18 (b) h (c) 4/3 a Let y be (5/(-13))/(20/8). Which is the second biggest value? (a) -14 (b) -1 (c) y (d) 6 c Let i = 0.09 - 0.19. Suppose u = 2*v + 2, -3*u + 16 = 8*v - 18. Which is the fourth biggest value? (a) -4 (b) v (c) i (d) 0.8 a Let w be (1*(-4)/4)/2*-4. Let t be 2/(-628)*(4 - 40/5). What is the third smallest value in -2/7, t, w? w Let q = 10.3 + -10. Let x be ((-12)/30)/((-8)/10)*0. Let l(m) = -2*m**2 - m. Let v be l(x). Which is the biggest value? (a) v (b) q (c) 1/9 (d) -0.3 b Let q = -19954.93 - -19955. Which is the smallest value? (a) 289 (b) q (c) 1 (d) -5/2 (e) 0.5 d Let p = 2/184871 - -828776667/2403323. Let l = -1282 - -937. Let w = l + p. Which is the third biggest value? (a) w (b) -15 (c) 0.2 b Let v be 10794/(-27) + 24/(-972)*9. What is the second biggest value in -1/12, 0, v? -1/12 Let q = 2028 - 2033. Which is the biggest value? (a) -114 (b) -2 (c) 1 (d) 0 (e) q c Let b = -39 + 135. Let o = -102 + b. What is the third smallest value in o, 3, 5? 5 Let x = 21.7 - -120.3. Let v = x + -142.2. Which is the third smallest value? (a) -3/4 (b) -2/33 (c) v b Suppose 7 - 16 + 21 = 3*g. Let m be 9*(2/21 + 0). Which is the biggest value? (a) m (b) g (c) 1 (d) 0 b Let v = -4.85016 - 0.08574. Let m = -0.0641 + v. Let r = -19/12 - -1/4. What is the second smallest value in m, -2/3, r, 2/3? r Let h(l) = -l**3 + l**2 - 7*l + 720. Let y be h(0). Let f = y + -723. Let j = -1.1 - -0.1. Which is the third biggest value? (a) 2/3 (b) f (c) j b Let y = 14961.3 - 14962. Which is the fifth smallest value? (a) y (b) -2 (c) 8 (d) -1/2 (e) -5 c Let w be (-6)/4*(-910)/39. Let h be -8 - (w/7 - 16). Which is the second smallest value? (a) 2 (b) h (c) 6 b Let l(i) = -4*i + 165. Let j be l(45). Let t be (35/126*1)/(j/(-9)). Which is the biggest value? (a) t (b) 0.5 (c) 1 (d) -0.4 c Suppose 0 = 4*l + 3*h + 25, -38*l + 34*l = -3*h - 17. Which is the smallest value? (a) -0.3 (b) 2/5 (c) 0.6 (d) l (e) 2 d Let x = -1.472 - 0.398. Let u = x - -1.47. Let v(o) = -o**2 + 4*o - 1. Let k be v(4). Which is the smallest value? (a) k (b) u (c) 2/5 a Let p = -13941 - -13947. Which is the smallest value? (a) -2/29 (b) p (c) 3 (d) -1.3 d Let m = 24 - 24.4. Let s = 15 - 11. Let j be (-133)/(-209) + 12/33. Which is the second biggest value? (a) -3/7 (b) m (c) j (d) s c Let p = -7479.8 - -7479.3. Let k = 1.7 - -0.3. Which is the biggest value? (a) p (b) 5 (c) -0.1 (d) k b Let f(n) = 10856*n - 16. Let o be f(7). Let i = o - 2659529/35. Let g = 52/5 + i. Which is the smallest value? (a) g (b) -3/4 (c) -5 (d) -3 c Let q = 26.125 - 26.195. Let t be (-2)/12*(-6)/(-9). Which is the smallest value? (a) t (b) 0.3 (c) q (d) 4 a Let d = -0.028 - -2.958. Let i = 0.07 + d. Let z be (-26)/(-140) - (-8)/(-20). What is the smallest value in i, z, -0.1, 3/5? z Let i be (-2 + -69 + -3)*(-18)/(-162) - -8. Which is the fourth biggest value? (a) i (b) 26 (c) 0.5 (d) -2 d Let k = -0.8 - -4.8. Suppose 5*f + 3*t + 23 - 7 = 0, 0 = -f - 2*t + 1. What is the smallest value in k, f, -33/5? -33/5 Suppose -4*y + 19 = t, 4*y - 4*t = 4 - 0. Let f = 360 - 359.691. Let b = f - 0.009. What is the biggest value in b, -13, y? y Let m(v) = 3*v**3 - 4*v**2 + 16*v + 49. Let x be m(-5). Let f be 16/168 - (3 - x/21). Which is the third smallest value? (a) 2/13 (b) 5 (c) f (d) -3 a Let g(n) = -2*n**3 + n**2 + 2*n - 2. Let i be g(1). Let b = 128 - 133. What is the biggest value in 3, b, i? 3 Suppose 3*t = -27*z + 24*z + 15, -9 = -3*z. Let k be ((-5 - -7)*t/16)/(-5). What is the second biggest value in 1, 0.2, k? 0.2 Let y = 0.0089 + -0.2089. Which is the second smallest value? (a) 6/17 (b) y (c) 0.2 c Let w be (16 + (-260)/15)*(1 + (-1)/10). Let u = -5 - -9. What is the fourth smallest value in w, u, -0.001, 1? u Let x = -9007 - -9003. What is the biggest value in 2, -10, x, 3/2, 1/5? 2 Let z = -224 - -134. Let s = -105.5 - z. Let r = 15 + s. Which is the biggest value? (a) 41 (b) r (c) -0.2 a Let n = -19.5 + 22.2. Let k = n + -1.8. Let p = -1 + 4. Which is the smallest value? (a) k (b) 1 (c) p a Let m = -0.3 + 2.3. Let t = 66.7 + -66.3. Which is the third smallest value? (a) -2/5 (b) m (c) t b Let x be (-2)/(-4) - (-46)/92. Let j be x/(-5)*(-5925)/158. Which is the third biggest value? (a) -1 (b) -0.4 (c) 2 (d) j b Let n(k) = k - 3. Let q be n(6). Let v be 1 + 25 + 43 + -37. Suppose 42 - v = -5*o. Which is the third smallest value? (a) o (b) -1 (c) q c Let y(n) = 2*n - 6. Let u be y(4). Suppose -27*z + 18*z + 44*z + 175 = 0. Which is the third biggest value? (a) -0.5 (b) 1 (c) z (d) u a Let q(w) = 2*w**2 - w - 11. Let n be q(3). Let h be 2/(n - 30/8). Which is the second smallest value? (a) h (b) -6 (c) 0.4 c Suppose -5*q = 2*w - 6*w + 17, 3 = -q + w. Let g = 4802.5 + -4802. Which is the fourth smallest value? (a) 0.2 (b) -4 (c) g (d) q c Let o = -343 - -129. Let u = 212 + o. Let j = -0.44 + 0.04. Which is the fourth smallest value? (a) u (b) 21 (c) j (d) 2 b Suppose w + w = -10. Let r = -6799.5 + 6800. Suppose 4*i + 1 = 3*i. Which is the third biggest value? (a) -2/5 (b) i (c) w (d) r b Let j = -107.38 - -3.4. Let s = j + 0.98. Let x = 103.01 + s. What is the third biggest value in 0.4, x, 2/9? x Let o = 33 + -33.075. Let v = 4.925 - o. Let m = -11 - -10.6. Which is the biggest value? (a) v (b) -2/13 (c) m a Let i be (15/8)/((-2262)/(-3016)). Which is the fifth smallest value? (a) -61 (b) -3/4 (c) i (d) 1/6 (e) -3 c Let w = -4108 + 4108.4. What is the fourth biggest value in -0.1, 2/15, w, 0.7? -0.1 Suppose -25*o - 8*o - 891 = 0. Suppose 0 = 3*d - 3, 2*u + 3*u = -4*d + 229. Let t be 3 - 3/u*33. Which is the biggest value? (a) o (b) t (c) 2/13 b Let x = -0.5199 - -0.6199. Which is the third smallest value? (a) x (b) -155 (c) -0.4 (d) 2/3 a Let q be 4/6 + (-19)/24. Let s = -399023/4 + 99755. What is the second biggest value in 2/7, s, -0.1, q? -0.1 Let o = -18134.8 - -18135. Which is the biggest value? (a) -3/2 (b) 3/2 (c) 2 (d) o c Let q = 25799 + -25794. Which is the biggest value? (a) 2.4 (b) q (c) 54 c Let v be 2*30/(-20) + 1 + -2. Which is the third smallest value? (a) v (b) -0.8 (c) -0.7 c Let x = 14.3 + -7.1. Let q = -6.2 + x. Let z be 7/(-1) - 77/(-11). What is the third biggest value in q, -1, -0.1, z? -0.1 Let v = -0.075 - -3.555. Let k = -2.98 + v. Let z(d) = -d**3 - 3*d**2 + 4*d. Let b be z(-4). What is the biggest value in b, 4, k, -4? 4 Suppose 3*q - 4*w - 35 = 0, 2*q - w + 6*w + 15 = 0. Let d = 226 - -159. Let l = -385 + d. What is the third smallest value in l, -0.3, 1/6, q? 1/6 Let m = -22.6 + 25.6. Let u = m + -3.8. What is the third smallest value in -1/2, 0.4, u? 0.4 Let m be (-2 + 2)/3 - -6. Let w be 2 + -7 + 34/m. Let l be (6/20)/(2/(-5)). Which is the third biggest value? (a) -0.1 (b) l (c) -0.4 (d) w c Let f = 1.349 + -101.049. Let z = -100 - f. What is the second smallest value in -3/2, -3/4, z, 3? -3/4 Let u = 0.51 - 259.51. Let b = -264 - u. What is the third biggest value in -29, b, -4? -29 Let s = -12 - -1. Let j = 7.02 + -0.02. Let h = j + s. What is the third biggest value in 2/7, 0.06, h? h Let z = 3.321 + -6.321. What is the fifth biggest value in z, 3/2, 5, 0.01, -0.2? z Let o = -712 - -712.214. Let f = -0.414 + o. Let b be (-19)/(-24) + (-6)/9. What is the third smallest value in 2, f, b, -0.05? b Let z = -610.2 - -665.2. What is the second smallest value in 3/4, -0.6, z, 3? 3/4 Let n be 220 + -219 - (-6)/(-7). Which is the second biggest value? (a) 5 (b) n (c) 1/2 (d) 6 a Let i = 1818.2 + -1813.2. Which is the second biggest value? (a) -4 (b) 0.3 (c) -4.7 (d) i b Let s = 112.94 + -114. Let z = 0.06 + s. Let u = 1098.7 - 1099. Which is the third smallest value? (a) -35 (b) z (c) u c Let a = -21 - -15.6. Let f = a - -5. Let n = -727.2 + 727.1. What is the third smallest value in n, -0.02, f, 2/11? -0.02 Let x = -1415.37 + 1416. What is the third smallest value in 0.3, -1, x? x Let h = -558/5 - -112. Let q = 137 + -1505/11. Which is the sm
{ "pile_set_name": "DM Mathematics" }
). 9800*u**4 Let g(h) = -71 + 140 - 69 + 535*h. Let s(v) = 2*v. Determine s(g(w)). 1070*w Suppose d - 5 + 3 = 0. Let p(v) = 45*v**d - 47*v**2 - 31*v**2. Let j(c) = 2*c. Determine j(p(t)). -66*t**2 Let g = 87 + -77. Let z(f) = -g*f**2 - 11*f**2 + 33*f**2. Let w(y) = y**2. Calculate w(z(o)). 144*o**4 Let r(n) = -n - 30. Let w(c) = 961*c**2. What is w(r(q))? 961*q**2 + 57660*q + 864900 Let v(s) = 539*s. Let u(h) = -h + 11. Determine v(u(i)). -539*i + 5929 Let m(w) = -2*w. Let c(t) = 2*t - 2*t - 36*t**2 + 73*t**2. Determine m(c(u)). -74*u**2 Let a(t) be the third derivative of -17*t**6/720 + 5*t**4/12 - 14*t**2. Let l(q) be the second derivative of a(q). Let i(m) = -m**2. Determine i(l(o)). -289*o**2 Let f = 3 - -7. Let u = 26 - f. Let r(k) = 17*k - 4 + 4 - u*k. Let l(b) = -6*b**2. Calculate l(r(d)). -6*d**2 Let u(z) = 2*z**2. Let a(n) = 1128*n**2 + 4*n + 62. Give a(u(q)). 4512*q**4 + 8*q**2 + 62 Let f(q) = -591*q**2. Let j(a) be the third derivative of a**4/12 - 50*a**2 + 4*a. Give f(j(n)). -2364*n**2 Let z(b) = -90*b**2. Let q(h) = 3*h. Let j(c) = c. Let x(o) = 7*j(o) - 3*q(o). Determine z(x(n)). -360*n**2 Let r(p) = 2*p. Let z(l) = 2086*l**2 - 3. What is r(z(t))? 4172*t**2 - 6 Let s(t) = 134*t**2 + 142*t**2 + 143*t**2 - 417*t**2. Let j(i) = -581*i. Calculate j(s(a)). -1162*a**2 Let v(b) = -4*b**2 - 9. Let j(l) = -2*l**2 - 4. Let q(n) = -9*j(n) + 4*v(n). Let m(x) be the second derivative of -x**4/12 + 6*x. Give q(m(g)). 2*g**4 Let k(x) = 15*x**2. Let u(j) = 280*j**2 + 1. What is u(k(m))? 63000*m**4 + 1 Let f(x) = 27*x**2 + 3*x - 23. Let o(b) = -102*b. Calculate o(f(a)). -2754*a**2 - 306*a + 2346 Let t(h) = -2*h**2 - 53*h. Let n(q) = 5865*q. Calculate t(n(b)). -68796450*b**2 - 310845*b Let n(s) be the third derivative of 13*s**5/10 + 35*s**2. Let d(o) = 3*o. Calculate n(d(q)). 702*q**2 Let u(g) = 6*g**2 - 9*g + 2. Let l(i) = -2*i. Calculate u(l(x)). 24*x**2 + 18*x + 2 Let i(b) = -28*b. Let u(v) be the first derivative of -4*v**3/3 + 14. Give i(u(h)). 112*h**2 Let l(n) = 23*n**2 - 3*n. Let i(w) = w. Let v(j) = -3*i(j) - l(j). Let q(t) be the first derivative of -24 + 0*t - 1/2*t**2. Give q(v(a)). 23*a**2 Let o(r) = 6*r - 2. Let j(l) = -680*l**2. What is j(o(k))? -24480*k**2 + 16320*k - 2720 Let c(b) = -b**2. Let u(s) = -68063*s. Give c(u(q)). -4632571969*q**2 Let r(u) = 249*u. Let x(h) = -h + h - 237492*h**2 + 237489*h**2. Calculate r(x(q)). -747*q**2 Let j(h) = -6*h**2 - 23*h - 10. Let l(t) = 4*t. Calculate l(j(n)). -24*n**2 - 92*n - 40 Let p(v) = -3*v. Let g(n) be the first derivative of -17*n**3/6 + 46*n - 45. Let l(q) be the first derivative of g(q). Determine p(l(a)). 51*a Let m(h) = 10*h. Let n be 5 - (-3 - (10887/72)/(-19)). Let g(b) be the third derivative of 0*b**3 + 0*b - 2*b**2 - n*b**4 + 0. Give m(g(w)). -10*w Let v(u) = u. Let k(f) = 8*f - 4. Let x(l) = 7*l - 3. Suppose -c + d - 3*d = -13, 2*c + 5*d = 31. Let z(p) = c*k(p) - 4*x(p). Determine v(z(a)). -4*a Let g(z) = 9*z**2. Let l(y) = -9*y**2. Let v(n) = 4*g(n) + 5*l(n). Let b(o) be the first derivative of -8*o**3/3 + 1. Give v(b(i)). -576*i**4 Let v(i) = 2*i + 47. Let d(r) = 2*r - 9. Let y(q) = 3*q - 15. Let g(b) = -5*d(b) + 3*y(b). Calculate v(g(u)). -2*u + 47 Let x(u) = u - 43. Suppose 7*i + p = 4*i + 16, -4*p - 4 = -5*i. Let z(y) = i*y**2 - 17*y**2 + 8*y**2 + 3*y**2. Calculate x(z(w)). -2*w**2 - 43 Let z(g) = -2*g**2. Let x(c) = 1. Let m(f) = 27*f + 54. Let r(l) = m(l) - 54*x(l). Calculate z(r(o)). -1458*o**2 Let d(c) = -197946*c. Let o(y) = 21*y**2. Give d(o(q)). -4156866*q**2 Let l(d) = 0*d + 0*d - d**2. Let y(m) = 15*m. Let q(h) = -6*h - h - h. Let p(x) = -9*q(x) - 4*y(x). Give l(p(v)). -144*v**2 Let p(x) = 2*x. Let l(u) = -4*u**2 + 1. Let i(y) = 23*y**2 + 31. Let j(h) = i(h) + 2*l(h). Determine j(p(g)). 60*g**2 + 33 Let d(n) = -5*n. Let c(f) be the first derivative of -2*f**3/3 - f**2/2 + 383. What is c(d(q))? -50*q**2 + 5*q Let v be (4/(-3))/((-4)/54). Suppose 0 = 3*g + 3*i - v, -3*g + 14 = -0*i + 2*i. Let o(u) = 3 + 1 - 4 + 13*u**g. Let k(q) = -2*q. Determine k(o(j)). -26*j**2 Let y(r) = 13*r + 10. Let f(g) = 11*g + 12. Let x(l) = 5*f(l) - 6*y(l). Let u(s) = -7*s**2. Calculate u(x(d)). -3703*d**2 Let y(a) be the second derivative of a**3/3 + 95*a. Let p(s) = -12*s**2. Give y(p(r)). -24*r**2 Let i(v) be the second derivative of 30*v + 0*v**2 + 0 + 0*v**3 + 1/3*v**4. Let g(x) be the second derivative of -x**3/6 + x. Give g(i(a)). -4*a**2 Let m(o) = o - 5. Let j(z) = -376*z. Give m(j(l)). -376*l - 5 Let m(n) = -3*n. Let o(l) = -5*l - 174. Let c(p) = -2*p - 58. Let f(z) = -8*c(z) + 3*o(z). Give m(f(t)). -3*t + 174 Let v(r) be the first derivative of -5*r**3/3 + 63. Let y(z) be the second derivative of -z**3/3 - z. Determine v(y(b)). -20*b**2 Let x(c) be the first derivative of 17*c**3/3 - 2. Suppose -2*v + 2 = 4. Let o(t) = 1. Let f(y) = -y + 3. Let d(z) = v*f(z) + 3*o(z). Give d(x(p)). 17*p**2 Let k(a) = 2*a**2 + 5*a + 1. Let o be k(-2). Let s(t) = 2*t + 10. Let r(x) = -1. Let f(p) = o*s(p) - 10*r(p). Let z(b) = 9*b. Calculate z(f(y)). -18*y Let k(s) = 4*s. Let i(d) = -21*d - 36. Let x(p) = -p - 2. Let w = 92 + -110. Let v(b) = w*x(b) + i(b). Give v(k(q)). -12*q Let f(t) be the first derivative of 2*t**3 + 2 + 4 - 3 + 6. Let x(y) = y + 5. Let w(b) = b + 4. Let g(v) = 5*w(v) - 4*x(v). Determine g(f(p)). 6*p**2 Let n(w) = 15*w**2. Let g(v) = -550*v**2 - 350. Let p(i) = 19*i**2 + 12. Let b(a) = 6*g(a) + 175*p(a). Calculate n(b(o)). 9375*o**4 Let p(c) be the second derivative of 0 + 0*c**3 + 0*c**2 + 1/12*c**4 + c. Let t(a) = -222*a + 441*a - 215*a. Determine p(t(h)). 16*h**2 Let o(t) = -2167*t - 77. Let n(b) = -57*b - 2. Let d(k) = -77*n(k) + 2*o(k). Let c(u) = u. Calculate c(d(q)). 55*q Let k(v) = 2*v. Let s(w) = 2*w**2 + 51. Let x(o) = -o**2 - 26. Let p(c) = 2*s(c) + 5*x(c). Let t(g) be the first derivative of p(g). Calculate k(t(i)). -4*i Let i(x) = -x**2. Let o(b) = -7*b + 406. Let y be o(58). Let l(k) be the third derivative of 0 + 0*k**3 + 5*k**2 + y*k**4 + 13/60*k**5 + 0*k. What is i(l(c))? -169*c**4 Let a(m) = -56*m**2. Let r(b) be the first derivative of -b**5/120 + 8*b**3/3 + 6. Let w(z) be the third derivative of r(z). Determine w(a(v)). 56*v**2 Let p(h) = -10*h**2. Let y(g) = 2*g**2 - 46*g. Calculate y(p(w)). 200*w**4 + 460*w**2 Let w(f) = -f**2 - 2. Let r(j) = -2*j**2 - 3. Suppose -t = -5*h - 0*t + 6, -5*t + 20 = 0. Let s(n) = h*r(n) - 3*w(n). Let d(q) = q**2. Calculate d(s(v)). v**4 Let g(l) = -88010*l**2. Let v(p) = 31*p. Determine v(g(o)). -2728310*o**2 Let j(x) = 11*x. Let k(d) = -2*d. Let f(o) = j(o) + 4*k(o). Let y(c) be the first derivative of -23*c**3/3 - 4. What is y(f(n))? -207*n**2 Let p(o) = -3*o. Let m(t) = 4*t**2 + 8. Let x(y) = -14. Let j(b) = 5. Let v(i) = 17*j(i) + 6*x(i). Let r(d) = -m(d) + 8*v(d). Calculate r(p(k)). -36*k**2 Let u be (-3)/12 - 34/(-8). Let x be (-197 + -1)*(-220)/165. Let d(j) = -264 - u*j + x. Let a(k) = 5*k**2. Determine a(d(l)). 80*l**2 Let m(p) be the second derivative of -p**4/12 + 2*p. Let f(j) be the first derivative of -3*j**2/2 + 2*j - 1369. What is f(m(a))? 3*a**2 + 2 Let d(i) = 5*i**2 - 4*i**2 - 5*i**2. Let q(a) = -3 + 21 - 7 + 24 - 35*a + 85*a**2. Let v(z) = 5*z**2 - 2*z + 2. Let k(r) = 2*q(r) - 35*v(r). Determine d(k(w)). -100*w**4 Let b(j) be the second derivative of 5*j**3/6 - 3*j**2/2 + 3*j. Let v(f) = 14*f - 8. Let h(d) = 8*b(d) - 3*v(d). Let y(t) = t. Give y(h(x)). -2*x Let s(c) be the second derivative of -14*c**3/3 - 21*c**2/2 + 42*c. Let y(o) = -o - 1. Let k(r) = -s(r) + 21*y(r). Let d(f) = 8*f**2. What is d(k(b))? 392*b**2 Let a(t) be the first derivative of 6*t**2 - 5*t + 26. Let g(l) = -3*l. Give a(g(v)). -36*v - 5 Let l be (-38)/14 - (-4)/(-14). Let w(j) = 7*j - 7*j - 3 + j + 2*j - 2*j. Let c(a) = -6*a + 14. Let u(o) = l*c(o) - 14*w(o). Let k(x) = 7*x**2. What is k(u(t))? 112*t**2 Let q(v) = 18*v - 15. Let x(l) = -l + 1. Let h(o) = -q(o) - 15*x(o). Let a(g) be the first derivative of 9*g**2/2 - 39. Determine h(a(f)). -27*f Let d(s) = -3*s**2. Let h(j) = -1. Suppose y - 10 = 2. Let g(n) = 10*n**2 + 12. Let c(b) = y*h(b) + g(b). What is d(c(i))? -300*i**4 Let u(n) = -42*n. Let c(s) = -s + 220. Determine c(u(o)). 42*o + 220 Let h(j) = -j**2 + j - 1. Let i be 0 + -5 - (-3 + -1). Let q(r) = -2*r**2 + r - 1.
{ "pile_set_name": "DM Mathematics" }
+ 0*c**4 + 0*c**6 + c + 4/3*c**3 + 0*c**5. What is the second derivative of x(n) wrt n? 160*n**3 Let t(c) = 0*c**2 - 20 - 15*c**2 + 10*c - 35 - 8*c + c**4. Let g(y) = 2*y**4 - 30*y**2 + 5*y - 110. Let q(u) = 2*g(u) - 5*t(u). Differentiate q(w) wrt w. -4*w**3 + 30*w Let p(n) = 2057*n**5 + 20*n**2 + 9*n + 50. Let u(r) = 514*r**5 + 5*r**2 + 2*r + 13. Let k(f) = 2*p(f) - 9*u(f). What is the third derivative of k(s) wrt s? -30720*s**2 Let t(x) = x**2 + 16*x + 20. Let h be t(-15). What is the second derivative of h*y - 19*y - 34*y**2 - 7*y - 4 + 2 wrt y? -68 Differentiate 9*c**3 + 114 + 48*c**3 - 583*c**3 + 5 with respect to c. -1578*c**2 Let j(h) = 54*h**2 - 5*h + 142. Let f(n) = -54*n**2 + 6*n - 142. Let x(b) = 3*f(b) + 4*j(b). Find the first derivative of x(d) wrt d. 108*d - 2 Let w(y) = -129*y**3 + 111*y**2 + 5*y + 6. Let t(o) = -127*o**3 + 110*o**2 + 4*o + 5. Let g(k) = -6*t(k) + 5*w(k). Find the third derivative of g(b) wrt b. 702 Let a(c) be the first derivative of -399*c**4/4 + 215*c**2/2 - 441. What is the second derivative of a(m) wrt m? -2394*m Let r(b) be the second derivative of -b**5/5 - b**4/12 - b**3/6 - 4*b. Let s be r(-1). What is the derivative of 2*u**4 + u**s - 3 - 8*u**4 wrt u? -20*u**3 Let z(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p**7 + 22*p**2 - 5/12*p**5 + 0*p + 0*p**6 + 0 - 11/84*p**8. Find the third derivative of z(d) wrt d. -2640*d**2 Let w(i) = -1. Let u be (-8)/(-12) + 5/(-3). Suppose -3*n - 7 = -1. Let z(s) = -2*s. Let l(j) = n*w(j) + u*z(j). What is the derivative of l(r) wrt r? 2 What is the derivative of 6 + 7*z**2 + 7 - 7*z + 13 + 0 wrt z? 14*z - 7 Let v(c) = 28*c - 83. Let f(w) = w - 3. Let i(a) = -28*f(a) - 4*v(a). Find the first derivative of i(u) wrt u. -140 Let r(f) be the third derivative of 11*f**7/210 + 11*f**6/120 - 5*f**4/24 - 2*f**3 - f**2 + 134. What is the second derivative of r(k) wrt k? 132*k**2 + 66*k Let g(q) = -27*q**2 + 18. Let t be -2 - 40/(-18) - (-86)/18. Let l(z) = -26*z**2 + 19. Let o(f) = t*g(f) - 4*l(f). Find the first derivative of o(j) wrt j. -62*j Suppose 0 = k + 4*k - 50. Let o(z) = -z**2 + 9*z + 10. Let l be o(k). What is the first derivative of l + 0 + 3 + 6*s**3 - s**3 wrt s? 15*s**2 Let i be (-3 - (-3)/2)*-2. Let k be (-1*i)/(-5 - -4). What is the derivative of -6 - 3*d**4 + 0*d**2 + 3*d**2 - k*d**2 wrt d? -12*d**3 Let c be (9 - 7) + 0 + -26. Let w = c + 26. Find the first derivative of -16*o**w + 9*o**2 + o**2 + 6 wrt o. -12*o Let h(b) be the first derivative of 371*b**5/5 - 166*b**2 - 310. Find the second derivative of h(o) wrt o. 4452*o**2 Let o(m) = -4*m - 16. Let n be o(-5). What is the derivative of 8 + 9*u**4 - n - 29*u**4 + 2 wrt u? -80*u**3 Suppose 3*o + 11 = 5*o + 5*u, o - 1 = 2*u. Differentiate -12*i**4 - 3*i**3 + 21 - 6*i**3 + 9*i**o with respect to i. -48*i**3 Suppose 0 = 4*q - 7*q - 12. Let a = q + 7. What is the second derivative of -4*p + 2*p**a + 0*p**3 + p wrt p? 12*p Suppose 7*g = 5*g + 4*u + 20, 2*g - 26 = 2*u. Find the second derivative of -g*j + 7*j**2 + j - 17*j + j**2 wrt j. 16 What is the third derivative of 8*q - 4*q**2 + 3*q**2 - 184*q**6 + 11*q + 2*q**4 + 186*q**6 wrt q? 240*q**3 + 48*q Let w(b) = b**3 + 7*b**2 - 8*b + 2. Suppose 0 = -3*c + 5*c + 12. Let z be w(c). What is the third derivative of z*y - 86*y + y**5 + 2*y**2 wrt y? 60*y**2 Suppose 0 = -f + 5 + 7. Let t = f - 8. What is the second derivative of -2*u + 1 + 0 - t*u**2 - 1 wrt u? -8 What is the first derivative of 47*v**4 - 264*v**3 + 264*v**3 + 47*v**4 + 168 wrt v? 376*v**3 Differentiate 42 + 38 - 39 + 28 + 189*q**2 wrt q. 378*q Let j(s) be the second derivative of s**9/756 + s**5/12 - 17*s**4/12 - 2*s. Let q(p) be the third derivative of j(p). Find the first derivative of q(o) wrt o. 80*o**3 Let c(m) be the second derivative of -1/5*m**5 + 0*m**2 + 0 + 0*m**3 - 5*m - 11/12*m**4. Find the third derivative of c(b) wrt b. -24 Suppose 3*z = z + v - 5, -5*z - 19 = 4*v. Let s(x) = 19*x + 5. Let y(g) = -10*g - 3. Let j(n) = z*s(n) - 7*y(n). Differentiate j(w) with respect to w. 13 Let c(m) = -82*m**2 + 5*m + 4. Let d(w) = -329*w**2 + 19*w + 16. Let i(h) = 9*c(h) - 2*d(h). Find the second derivative of i(a) wrt a. -160 Let c(p) = p + 19. Let m(d) = 1. Let x(i) = c(i) - 4*m(i). Let r be x(-14). What is the second derivative of r - 3*n - 1 - 8*n**5 wrt n? -160*n**3 Let q(f) be the second derivative of 27/2*f**2 + 0*f**5 + 0*f**4 + 44*f + 0 + 0*f**3 + 7/6*f**6. Find the first derivative of q(j) wrt j. 140*j**3 Let h(k) be the second derivative of 0 + 0*k**2 + 5/12*k**4 + 11*k + 0*k**3 - 11/10*k**5. What is the third derivative of h(f) wrt f? -132 Let b(j) = 4*j - 15. Let v(h) = -h - 1. Let a be (1/((-1)/(-2)))/(-2). Let m(k) = a*b(k) + 5*v(k). What is the derivative of m(g) wrt g? -9 Let d(t) = 1211*t**2 + 39*t + 7. Let r(y) = -606*y**2 - 17*y - 4. Let q(z) = -4*d(z) - 7*r(z). Find the second derivative of q(g) wrt g. -1204 Let a(b) be the first derivative of -104*b**5/5 - 5*b + 96. Differentiate a(w) wrt w. -416*w**3 Let c(w) be the third derivative of w**6/80 - w**5/15 - w**4/12 - 5*w**2. Let f(p) be the second derivative of c(p). Find the first derivative of f(t) wrt t. 9 Let n(h) be the first derivative of h**5 - 11*h + 5. Let v(u) = 21*u**4 - 44. Let x(j) = 9*n(j) - 2*v(j). What is the first derivative of x(p) wrt p? 12*p**3 Let m(v) = 2*v + 19. Let p be m(-8). What is the third derivative of 0 - 43*s**p + 41*s**3 + 0 - 13*s**2 wrt s? -12 Let g(y) be the first derivative of 23/6*y**6 + 0*y**5 + 3 + 0*y**2 - 8/3*y**3 + 0*y + 0*y**4. What is the third derivative of g(z) wrt z? 1380*z**2 Let q = -640/3 - -214. Let k(s) be the first derivative of q*s**3 - s**2 + 0*s - 4. Find the second derivative of k(d) wrt d. 4 Find the third derivative of 157*g**3 + 81*g**3 + 2 + 21 + 2*g**2 + 6 wrt g. 1428 Let p = -24 - -21. Let b be (4/(-8))/(p/42). Find the second derivative of -6*z - 3*z**4 + 5*z**4 + b*z**4 - z wrt z. 108*z**2 Let p(w) be the third derivative of -w**8/14 + w**6/120 - w**5/60 + 9*w**4/4 - 6*w**2 + 2. What is the third derivative of p(h) wrt h? -1440*h**2 + 6 Let u be ((13 - 27)/(-196))/(4/14). Let x(m) be the third derivative of u*m**4 + 0 + 0*m + 7*m**2 - 2/3*m**3. Find the first derivative of x(p) wrt p. 6 Let v be (5/2 - 0)*(-24)/(-10). What is the second derivative of -6*t**4 - 11*t**4 - 13*t + v*t wrt t? -204*t**2 Let k(i) be the first derivative of -5*i**4/4 + 296*i - 221. Find the first derivative of k(j) wrt j. -15*j**2 Find the first derivative of -107*f**3 - 173*f**3 + 24 + 67 + 84*f**3 + 222 wrt f. -588*f**2 Let q = 87 + -79. Suppose 4*b + 14 = 2*p, 3*p + b - 2*b - 16 = 0. Find the second derivative of 13*n**p + 3*n - q*n**5 - 2*n wrt n. 100*n**3 Let c(g) = 62*g**4 - 82*g**2 + 5*g + 5. Let j(w) = 62*w**4 - 82*w**2 + 4*w + 4. Let p(x) = 4*c(x) - 5*j(x). Find the third derivative of p(v) wrt v. -1488*v What is the second derivative of 0*h + 48 - 21 - 28 - 10*h - 168*h**2 wrt h? -336 Suppose 0 = z + c, -5*z - 2*c + 10 - 4 = 0. Let b be (-140)/(-14) - (-7)/(-1). What is the second derivative of 2*j - z*j**3 + j**b + 7*j**3 wrt j? 36*j Let w(o) be the first derivative of o**7/140 + 17*o**6/360 + 23*o**3/3 - 17. Let s(n) be the third derivative of w(n). Find the third derivative of s(b) wrt b. 36 Let s(u) be the first derivative of -19*u**7/840 + 5*u**6/72 + 5*u**3/3 - 10. Let d(q) be the third derivative of s(q). Find the third derivative of d(n) wrt n. -114 Let o(t) be the third derivative of 17*t**8/112 + t**5/10 + 5*t**3/6 + 2*t**2 - 63. What is the third derivative of o(i) wrt i? 3060*i**2 Let w(a) = -11*a**3 - 11*a**2 + 4. Let q = 11 + -16. Let n(j) = 12*j**3 + 12*j**2 - 5. Let h(g) = q*w(g) - 4*n(g). What is the third derivative of h(x) wrt x? 42 Let p(x) = x**3 + 10*x**2 - 2*x - 8. Suppose -4*h - 6 = 34. Let f be p(h). Find the third derivative of 0*q**5 + 4*q**5 + f*q**2 - 17*q**2 wrt q. 240*q**2 Let p(g) be the first derivative of -13*g**2/2 - 189*g + 147. Differentiate p(h) with respect to h. -13 Suppose -56 + 8 = -8*j. Let z(a) = 8*a**2 + 24. Let g(v) = 25*v**2 + 71. Let q(u) = j*g(u) - 17*z(u). What is the first derivative of q(h) wrt h? 28*h What is the derivative of -3041*f + 129 + 5922*f - 3000*f wrt f? -119 Let j(p) = p**5 + p**3 + p**2 + p - 1. Let y(l) =
{ "pile_set_name": "DM Mathematics" }
jnosh? 1/10 What is prob of picking 2 f and 2 h when four letters picked without replacement from httfkfffhhhhffft? 3/26 Two letters picked without replacement from {c: 2, n: 1, k: 1, v: 1, q: 1, j: 1}. Give prob of picking 1 j and 1 n. 1/21 Calculate prob of picking 4 k when four letters picked without replacement from {k: 17, f: 1}. 7/9 Four letters picked without replacement from {s: 2, c: 6, t: 4}. Give prob of picking 1 s and 3 t. 8/495 Four letters picked without replacement from oszbosnozzszbsbszznz. What is prob of picking 1 n, 2 o, and 1 z? 14/1615 Calculate prob of picking 1 q, 1 b, and 2 r when four letters picked without replacement from bdbbrrbqddbbrddb. 3/260 Four letters picked without replacement from rlcc. Give prob of picking 4 l. 0 Two letters picked without replacement from {s: 1, z: 1, v: 1, e: 1, b: 1}. What is prob of picking 1 z and 1 e? 1/10 Two letters picked without replacement from {p: 1, r: 8, b: 7, x: 2, c: 2}. 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What is prob of picking 1 c, 1 z, and 1 w? 30/143 Three letters picked without replacement from wwwwwwzwwwwwwwwwwww. Give prob of picking 3 w. 16/19 Three letters picked without replacement from {r: 4, v: 3}. What is prob of picking 1 v and 2 r? 18/35 Calculate prob of picking 1 o, 1 s, and 1 u when three letters picked without replacement from {o: 4, s: 2, u: 1}. 8/35 What is prob of picking 1 g and 1 k when two letters picked without replacement from wuguguuktukttkug? 3/40 What is prob of picking 1 v and 1 q when two letters picked without replacement from {r: 9, a: 1, v: 2, q: 2}? 4/91 Two letters picked without replacement from {v: 2, y: 1, c: 4, k: 1, j: 4, w: 6}. Give prob of picking 1 v and 1 y. 2/153 What is prob of picking 1 q, 1 w, and 1 n when three letters picked without replacement from {w: 1, b: 2, c: 1, q: 2, n: 1}? 2/35 Calculate prob of picking 1 a and 1 s when two letters picked without replacement from awsasawwzsaww. 2/13 Three letters picked without replacement from fmrrmfffr. What is prob of picking 1 r and 2 f? 3/14 What is prob of picking 2 y and 2 x when four letters picked without replacement from xxyx? 0 Calculate prob of picking 4 v when four letters picked without replacement from {v: 9, k: 5}. 18/143 Calculate prob of picking 1 s and 1 r when two letters picked without replacement from rrgesgsgeggsg. 1/13 What is prob of picking 1 w, 1 l, and 1 s when three letters picked without replacement from ssllwllswllswwlwswww? 14/57 Three letters picked without replacement from iililzizilzii. Give prob of picking 2 l and 1 i. 21/286 Three letters picked without replacement from {p: 1, m: 1, d: 1, j: 1, q: 1}. What is prob of picking 1 m, 1 p, and 1 q? 1/10 What is prob of picking 1 s and 1 v when two letters picked without replacement from {s: 12, v: 7}? 28/57 Three letters picked without replacement from vzccvvvzzzzcp. What is prob of picking 3 c? 1/286 Three letters picked without replacement from {k: 3, x: 1}. Give prob of picking 1 x and 2 k. 3/4 Four letters picked without replacement from swrrwlfal. Give prob of picking 1 a, 1 l, 1 s, and 1 w. 2/63 What is prob of picking 1 u and 2 n when three letters picked without replacement from uupnnpuuuuuuu? 9/286 What is prob of picking 1 e and 2 a when three letters picked without replacement from {i: 1, u: 3, s: 4, a: 4, e: 4}? 3/70 Two letters picked without replacement from nnp. Give prob of picking 1 p and 1 n. 2/3 Four letters picked without replacement from dpvpddbjbdbdpbdn. What is prob of picking 1 p, 1 j, 1 n, and 1 v? 3/1820 Two letters picked without replacement from jpjiioojjiijijoji. Give prob of picking 1 j and 1 p. 7/136 Four letters picked without replacement from {c: 2, s: 12, h: 2, e: 2, l: 1}. Give prob of picking 1 h, 1 s, 1 l, and 1 e. 4/323 Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {v: 7, q: 1, d: 4, o: 3, s: 3}. 1/51 Two letters picked without replacement from qqq. What is prob of picking 2 q? 1 What is prob of picking 3 x and 1 n when four letters picked without replacement from nxxxxxxxxxxxnnx? 44/91 What is prob of picking 1 v and 3 h when four letters picked without replacement from xxxxhhhxvvxxnnx? 2/1365 Two letters picked without replacement from pkoekppkkpkkpkoke. Give prob of picking 1 p and 1 o. 5/68 Calculate prob of picking 2 f when two letters picked without replacement from {l: 2, x: 8, f: 3, q: 4}. 3/136 Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjj. 1 Three letters picked without replacement from {z: 6, w: 1, u: 1, s: 4, y: 4, f: 3}. What is prob of picking 1 f and 2 y? 6/323 Calculate prob of picking 1 p and 2 k when three letters picked without replacement from {k: 10, p: 9}. 135/323 Three letters picked without replacement from rprqcrcpqpepnr. Give prob of picking 2 c and 1 q. 1/182 Two letters picked without replacement from {a: 6, z: 1, i: 1, b: 2, r: 7}. Give prob of picking 1 b and 1 z. 1/68 Three letters picked without replacement from {v: 7, n: 9}. Give prob of picking 3 v. 1/16 Calculate prob of picking 1 f and 2 s when three letters picked without replacement from siiimiiaftafafifsima. 1/285 What is prob of picking 2 n when two letters picked without replacement from {n: 2, l: 8, b: 2, k: 6}? 1/153 What is prob of picking 2 j when two letters picked without replacement from {q: 5, j: 5, g: 3}? 5/39 What is prob of picking 2 i when two letters picked without replacement from cciciivcciiicii? 4/15 Calculate prob of picking 1 l and 3 h when four letters picked without replacement from ssdlccyh. 0 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {r: 4, u: 1, d: 1, e: 1, t: 3, n: 2}. 1/33 Four letters picked without replacement from {u: 4, m: 3, o: 7, n: 1, q: 1, l: 2}. Give prob of picking 1 l, 2 o, and 1 n. 7/510 Three letters picked without replacement from {b: 1, f: 4, e: 5, u: 1, j: 3}. What is prob of picking 3 j? 1/364 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from ieiefzfziefefifietf. 10/171 What is prob of picking 2 b when two letters picked without replacement from nbbn? 1/6 Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {g: 6, m: 3, a: 3, k: 7}. 7/57 What is prob of picking 2 t when two letters picked without replacement from aaat
{ "pile_set_name": "DM Mathematics" }
77 What is the square root of 131397079 to the nearest integer? 11463 What is the third root of 24726677 to the nearest integer? 291 What is 172471146 to the power of 1/2, to the nearest integer? 13133 What is 42512914 to the power of 1/3, to the nearest integer? 349 What is 227686524 to the power of 1/7, to the nearest integer? 16 What is the third root of 324564072 to the nearest integer? 687 What is 2558226608 to the power of 1/6, to the nearest integer? 37 What is 1114293158 to the power of 1/4, to the nearest integer? 183 What is the seventh root of 75707899 to the nearest integer? 13 What is the square root of 229956074 to the nearest integer? 15164 What is 9654481813 to the power of 1/4, to the nearest integer? 313 What is the third root of 695117540 to the nearest integer? 886 What is the ninth root of 728018322 to the nearest integer? 10 What is 148619309 to the power of 1/10, to the nearest integer? 7 What is 56685913 to the power of 1/10, to the nearest integer? 6 What is the eighth root of 1066018298 to the nearest integer? 13 What is 7656007994 to the power of 1/4, to the nearest integer? 296 What is the third root of 883222092 to the nearest integer? 959 What is the cube root of 57364869 to the nearest integer? 386 What is 788108066 to the power of 1/2, to the nearest integer? 28073 What is the square root of 292076185 to the nearest integer? 17090 What is the square root of 6539051 to the nearest integer? 2557 What is the third root of 1200326788 to the nearest integer? 1063 What is the third root of 357095870 to the nearest integer? 709 What is the ninth root of 1590052415 to the nearest integer? 11 What is 57998207 to the power of 1/5, to the nearest integer? 36 What is the ninth root of 266903716 to the nearest integer? 9 What is 33908697 to the power of 1/2, to the nearest integer? 5823 What is the tenth root of 360896780 to the nearest integer? 7 What is 3152315975 to the power of 1/2, to the nearest integer? 56145 What is the third root of 537190337 to the nearest integer? 813 What is the cube root of 430201368 to the nearest integer? 755 What is 458693146 to the power of 1/3, to the nearest integer? 771 What is 585704300 to the power of 1/8, to the nearest integer? 12 What is the third root of 1117424288 to the nearest integer? 1038 What is the ninth root of 812724176 to the nearest integer? 10 What is 150886131 to the power of 1/8, to the nearest integer? 11 What is the fourth root of 13872716 to the nearest integer? 61 What is the third root of 804804464 to the nearest integer? 930 What is the cube root of 321290194 to the nearest integer? 685 What is 76881481 to the power of 1/6, to the nearest integer? 21 What is 33271044 to the power of 1/3, to the nearest integer? 322 What is the square root of 12169370 to the nearest integer? 3488 What is the sixth root of 622694578 to the nearest integer? 29 What is 793099618 to the power of 1/3, to the nearest integer? 926 What is the cube root of 660510610 to the nearest integer? 871 What is the sixth root of 50100438 to the nearest integer? 19 What is the third root of 1046410249 to the nearest integer? 1015 What is 128654501 to the power of 1/9, to the nearest integer? 8 What is the fourth root of 1630031353 to the nearest integer? 201 What is the eighth root of 392944277 to the nearest integer? 12 What is the seventh root of 566976705 to the nearest integer? 18 What is 8750247350 to the power of 1/2, to the nearest integer? 93543 What is the eighth root of 895252288 to the nearest integer? 13 What is 3287171454 to the power of 1/2, to the nearest integer? 57334 What is 33602353 to the power of 1/3, to the nearest integer? 323 What is the square root of 817003311 to the nearest integer? 28583 What is the eighth root of 23804324 to the nearest integer? 8 What is the cube root of 75613387 to the nearest integer? 423 What is the cube root of 54244077 to the nearest integer? 379 What is 2714658934 to the power of 1/2, to the nearest integer? 52102 What is 137205956 to the power of 1/2, to the nearest integer? 11713 What is the cube root of 383937380 to the nearest integer? 727 What is 2174298999 to the power of 1/2, to the nearest integer? 46629 What is the third root of 496615359 to the nearest integer? 792 What is 253262325 to the power of 1/2, to the nearest integer? 15914 What is the square root of 638573603 to the nearest integer? 25270 What is the sixth root of 125080455 to the nearest integer? 22 What is 145440788 to the power of 1/8, to the nearest integer? 10 What is the square root of 53782371 to the nearest integer? 7334 What is the square root of 238007055 to the nearest integer? 15427 What is the third root of 241713827 to the nearest integer? 623 What is 314973354 to the power of 1/4, to the nearest integer? 133 What is 396531328 to the power of 1/2, to the nearest integer? 19913 What is the eighth root of 174995242 to the nearest integer? 11 What is 806944589 to the power of 1/3, to the nearest integer? 931 What is the third root of 229236877 to the nearest integer? 612 What is the square root of 43354836 to the nearest integer? 6584 What is the third root of 25615088 to the nearest integer? 295 What is the cube root of 1365048265 to the nearest integer? 1109 What is the third root of 39892487 to the nearest integer? 342 What is the eighth root of 153888262 to the nearest integer? 11 What is the fifth root of 3144386308 to the nearest integer? 79 What is the eighth root of 57888046 to the nearest integer? 9 What is 20335110 to the power of 1/5, to the nearest integer? 29 What is the square root of 189891603 to the nearest integer? 13780 What is 1275217623 to the power of 1/3, to the nearest integer? 1084 What is 48604121 to the power of 1/3, to the nearest integer? 365 What is the fourth root of 17540321 to the nearest integer? 65 What is 45049346 to the power of 1/2, to the nearest integer? 6712 What is the fourth root of 184686713 to the nearest integer? 117 What is 547920768 to the power of 1/2, to the nearest integer? 23408 What is 3976289089 to the power of 1/2, to the nearest integer? 63058 What is 135105934 to the power of 1/6, to the nearest integer? 23 What is 79036086 to the power of 1/4, to the nearest integer? 94 What is the cube root of 13208472 to the nearest integer? 236 What is 3454878 to the power of 1/2, to the nearest integer? 1859 What is the cube root of 82709555 to the nearest integer? 436 What is 287356936 to the power of 1/4, to the nearest integer? 130 What is the square root of 21552386 to the nearest integer? 4642 What is 751402506 to the power of 1/2, to the nearest integer? 27412 What is the tenth root of 989766216 to the nearest integer? 8 What is the square root of 2286116030 to the nearest integer? 47813 What is 1658006348 to the power of 1/2, to the nearest integer? 40719 What is 200716108 to the power of 1/2, to the nearest integer? 14167 What is the third root of 195598306 to the nearest integer? 580 What is the cube root of 298302784 to the nearest integer? 668 What is the eighth root of 72556126 to the nearest integer? 10 What is the third root of 611854329 to the nearest integer? 849 What is 394408876 to the power of 1/9, to the nearest integer? 9 What is the ninth root of 24337232 to the nearest integer? 7 What is the cube root of 50993413 to the nearest integer? 371 What is the fourth root of 5582339449 to the nearest integer? 273 What is the third root of 26922682 to the nearest integer? 300 What is the cube root of 2175729267 to the nearest integer? 1296 What is the third root of 1021887996 to the nearest integer? 1007 What is 562173651 to the power of 1/2, to the nearest integer? 23710 What is 115266202 to the power of 1/5, to the nearest integer? 41 What is 4580485 to the power of 1/9, to the nearest integer? 5 What is the ninth root of 7707270714 to the nearest integer? 13 What is the third root of 49182273 to the nearest integer? 366 What is the cube root of 22945030 to the nearest integer? 284 What is 445655025 to the power of 1/10, to the nearest integer? 7 What is the cube root of 392232379 to the nearest integer? 732 What is the square root of 35193555 to the nearest integer? 5932 What is 72003920 to the power o
{ "pile_set_name": "DM Mathematics" }
111000001? -101000001001110001 In base 13, what is 537382 - -b? 537390 In base 13, what is -18a31a5 + -1? -18a31a6 In base 2, what is -111 - -100111111000000011100? 100111111000000010101 In base 6, what is -2005 - 10023423? -10025432 In base 16, what is 2 - -de8ca33? de8ca35 In base 13, what is -16 + 26cb3c9? 26cb3b3 In base 6, what is -1134105 - -200? -1133505 In base 6, what is -1 + -5441113541? -5441113542 In base 11, what is 4 + 266210? 266214 In base 14, what is -dc1c0 + -813? -dc9d3 In base 7, what is -413 - 250420? -251133 In base 14, what is -726d - 17b0? -8a3d In base 11, what is 862915 + -6? 86290a In base 6, what is -1 - -30522224? 30522223 In base 14, what is 895 + -7dab4? -7d21d In base 9, what is 637 - 25700? -25052 In base 7, what is 124613 + -24653? 66630 In base 11, what is -5110a9 + a? -51109a In base 14, what is 986 + dd91? 10937 In base 10, what is -174751 - -330? -174421 In base 14, what is -c + 2741ad0? 2741ac2 In base 11, what is 67375a + 4? 673763 In base 15, what is -a + 57c38b? 57c381 In base 5, what is 4 + -31242440211? -31242440202 In base 5, what is -41000441 + 11? -41000430 In base 13, what is -2200c + -4649? -26658 In base 4, what is 1121313333 - 200? 1121313133 In base 2, what is -11001 - 1110000100100001100100001? -1110000100100001100111010 In base 2, what is 11111110101100010100010000 - -1110? 11111110101100010100011110 In base 12, what is 37b9b3 + -2? 37b9b1 In base 3, what is 1022101002 - -2120? 1022110122 In base 15, what is 29e7 - 306? 26e1 In base 10, what is 9 - 12650032? -12650023 In base 2, what is -11 + 101010011110001000101100? 101010011110001000101001 In base 15, what is 6 + b531b? b5322 In base 11, what is -12a75 - -46? -12a2a In base 4, what is -1111 - -303230210? 303223033 In base 6, what is -205431153 + -1? -205431154 In base 7, what is -12024454 - 603? -12025360 In base 13, what is -3 - -16523435? 16523432 In base 5, what is -10 + -12132224112? -12132224122 In base 8, what is -2376 + -177552? -202150 In base 10, what is -4479 + -1297? -5776 In base 5, what is -1140411 - 1332131? -3023042 In base 15, what is 6 - -272574? 27257a In base 14, what is 37 + -10c965a? -10c9623 In base 16, what is 1109f - a2? 10ffd In base 9, what is -1817424 + -375? -1817810 In base 12, what is -1092 - -1a? -1074 In base 13, what is abb75 - 111a? aaa58 In base 16, what is 1 + -32afb25? -32afb24 In base 16, what is a9fab0 - -4? a9fab4 In base 5, what is 10 - 302034333340? -302034333330 In base 13, what is 79230 - 6? 79227 In base 4, what is -3323 + 13303030? 13233101 In base 15, what is 7 + -50a? -503 In base 15, what is -376 - -203e1? 2006a In base 14, what is 1a598 + -232? 1a366 In base 9, what is 560771 - -22? 560803 In base 4, what is -11301 - 11232200? -11310101 In base 14, what is 6060 - -b9? 6139 In base 12, what is -7 - 67123b5? -6712400 In base 12, what is 30bb00 + 2? 30bb02 In base 12, what is 893b6b2 + -3? 893b6ab In base 12, what is 3b20b00b + -9? 3b20b002 In base 16, what is 14 - 903c? -9028 In base 16, what is -52be90f - -4? -52be90b In base 16, what is -1 - -4813fb6? 4813fb5 In base 3, what is -1001210001020222 + -100? -1001210001021022 In base 3, what is -1011101110210 + 100012? -1011101010121 In base 8, what is -5574636727 - 1? -5574636730 In base 4, what is 1030022012320 + 0? 1030022012320 In base 6, what is 1 + 1453353450? 1453353451 In base 10, what is 352263 - -21? 352284 In base 5, what is -323133330 - 10? -323133340 In base 13, what is 39 + 28524b? 285287 In base 12, what is 1a + 2751ba2? 2752000 In base 5, what is 143402421 + 1412? 143404333 In base 11, what is 545 + -40281? -3a837 In base 3, what is 121210221 + -20120001? 101020220 In base 14, what is 4a4 - 2ab5? -2611 In base 5, what is -10420112242 + -43? -10420112340 In base 16, what is -e23d + -f96? -f1d3 In base 4, what is -10201 + 1332122? 1321321 In base 13, what is -2 - 5914c6? -5914c8 In base 7, what is -230121043 - 52? -230121125 In base 10, what is -2 - 7013515? -7013517 In base 12, what is 1 - 128278? -128277 In base 14, what is 57838a1 + -4? 578389b In base 4, what is 130013213010 - 1? 130013213003 In base 15, what is 85 - -80cc23? 80cca8 In base 4, what is 31201 - -11000121000? 11000212201 In base 3, what is -111210021 - -201111021? 12201000 In base 11, what is 99453 - -21? 99474 In base 5, what is 1 + -10040410212? -10040410211 In base 12, what is b99537 - 43? b994b4 In base 11, what is 5 - -3185348? 3185352 In base 10, what is -9727618 + 5? -9727613 In base 4, what is -300320113 + -1330? -300322103 In base 6, what is 4412355 - 5535? 4402420 In base 12, what is 3956 + -1a167? -16411 In base 13, what is 837b3 - -130? 83913 In base 9, what is -46162 + -30806? -77068 In base 15, what is 53795 + 5? 5379a In base 6, what is 25550554 + -120? 25550434 In base 15, what is 208a + -87e? 170b In base 10, what is -259391770 + 5? -259391765 In base 15, what is -16e21e59 + 2? -16e21e57 In base 2, what is -111011 - 1111111011100111101100? -1111111011101000100111 In base 3, what is 10 - -2020212001120002? 2020212001120012 In base 8, what is -15634123 + -152? -15634275 In base 15, what is -3b - -1c755? 1c719 In base 10, what is -4 + 6567282? 6567278 In base 16, what is -ff + 19c42? 19b43 In base 5, what is -20 + 431340421? 431340401 In base 7, what is 4563146523 - -5? 4563146531 In base 3, what is 22101 - -1002101121? 1002200222 In base 13, what is 3130b1 - -3? 3130b4 In base 4, what is -3 - 2122001330? -2122001333 In base 11, what is 3248 - -21a47? 25194 In base 6, what is 135405 + 12253? 152102 In base 3, what is -10120 + -112122110222? -112122121112 In base 9, what is 1638612 + 2? 1638614 In base 5, what is -10 + 31313144123? 31313144113 In base 10, what is -51964665 - -5? -51964660 In base 6, what is 52035500 + 32? 52035532 In base 7, what is 615066 + 13212? 631311 In base 5, what is 2 + 11232421214? 11232421221 In base 6, what is -52 - -25242023? 25241531 In base 13, what is -6879a7 + 9? -68799b In base 5, what is -2241 - 4413344? -4421140 In base 12, what is -5 + -71b86a6? -71b86ab In base 8, what is 4 - 222575360? -222575354 In base 11, what is 26858192 + -6? 26858187 In base 3, what is -221 - -2120212201202? 2120212200211 In base 7, what is 105 + 53502112? 53502220 In base 13, what is -691c0c0 - -8? -691c0b5 In base 3, what is -121022 + -122212210? -200111002 In base 16, what is 2dbd92a + -2? 2dbd928 In base 7, what is -5561335 + 2152? -5556153 In base 3, what is -201202122 + -2002? -201211201 In base 11, what is -378455 - -a? -378446 In base 5, what is -10 - 21020022044? -21020022104 In base 11, what is 4 + 1110497? 11104a0 In base 10, what is -100 + 1942072? 1941972 In base 11, what is -2780 + -7554? -a224 In base 13, what is -316b3 - -454? -3125c In base 16, what is -1 + 3eab72? 3eab71 In base 3, what is -211012212 - -10020011? -200222201 In base 15, what is -3e1e2115 - 5? -3e1e211a In base 7, what is 4 + -10655225? -10655221 In base 12, what is 72416 + -101? 72315 In base 16, what is -b - -dd9475? dd946a In base 11, what is -4 - a25a89a? -a25a8a3 In base 9, what is -171710 + 85? -171614 In base 9, what is 5 + 3823504? 3823510 In base 10, what is -1756988 - 2? -1756990 In base 5, what is -303110030021 + -4? -303110030030 In base 12, what is -3 - 10aba02a? -10aba031 In base 9, what is 140 + 154433? 154573 In base 10, what is 2116134 - 6? 2116128 In base 14, what is 2c0d81 + -9? 2c0d76 In base 3, what is -21002201211210 + 0? -21002201211210 In base 16, what is 46 - 148fad? -148f67 In base 3, what is -212101200112012 + 21? -212101200111221 In base 15, what is 123a + -1bb38? -1a8ed In base 16, what is -a71 + -38db? -434c In base 11, what is 72533 - -84a? 73282 In base 5, what is -13 - -14341024? 14341011 In base 10, what is -15 - -19410322? 19410307 In base 7, what is -525062615 + 1? -525062614 In base 13, what is 1189 - -a043? b1cc In base 7, what is 634446 - 14661? 616455 In base 11, what is -98 - 272767? -272854 In base 14, what is 5 - 14b9db? -14b9d6 In base 2, what is -1101 - -10111010110101100111001? 10111010110101100101100 In base 9, what is 2 + -44558780? -44558777 In base 7, what is 1 - -362132566? 362132600 In base 2, what is -10000000 + 110100110000011001001? 110100110000001001001 In base 14, what is 74 + 7032? 70a6 In base
{ "pile_set_name": "DM Mathematics" }
Let h(y) = 11*y + 12. Let r(b) = -5*b - 6. Suppose 0 = -9*k - 118 + 55. Give k*r(s) - 3*h(s). 2*s + 6 Let f(b) = -59*b**2 - 11*b + 477. Let s(q) = -32*q**2 - 6*q + 238. What is -6*f(w) + 11*s(w)? 2*w**2 - 244 Let h(j) = -j + 1. Suppose y + 12 = -3*y. Let c(z) = -82 - 3*z + 2*z + 167 - 83. Calculate y*c(d) + 6*h(d). -3*d Let u = -1 + 3. Let p(z) = z**3 + 2*z - 2. Let d(c) be the second derivative of c**5/4 + 5*c**3/3 - 11*c**2/2 - 6*c + 4. What is u*d(a) - 11*p(a)? -a**3 - 2*a Let j be ((-4)/(-2) - -1)/(79/(-237)). Let y(k) = -4*k**3 - 4*k**2 + 4*k - 4. Let r(f) = -7*f**3 - 9*f**2 + 9*f - 9. Calculate j*y(m) + 4*r(m). 8*m**3 Let z(w) = 99*w - 29 - 25 + 77 - 23. Let k(g) = -9*g. What is -54*k(l) - 5*z(l)? -9*l Let y(v) = -v**2 - v + 1. Let u(q) = 2*q**2 - 2*q - 1. Let m = 49 - 50. Calculate m*y(h) + u(h). 3*h**2 - h - 2 Let m(z) = -21*z**2 + 4*z + 12. Let w(d) = 43*d**2 - 9*d - 25. Let x(v) = 9*m(v) + 4*w(v). Let b(h) = -33*h**2 + 15. Calculate 6*b(j) - 11*x(j). -11*j**2 + 2 Let i(t) = 25*t + 6. Let j(o) = 24*o + 5. Calculate -3*i(v) + 4*j(v). 21*v + 2 Suppose 8 + 16 = 3*g. Let f(t) = 3*t**2 - 8*t. Let y(x) = 6*x + 1. Let a be y(1). Let r = 12 - a. Let q(p) = -2*p**2 + 5*p. Give g*q(c) + r*f(c). -c**2 Let l(v) = v**3 + 6*v**2 - 5*v + 6. Let p(a) be the first derivative of 13/3*a**3 - 4 - 11/2*a**2 + 1/2*a**4 + 13*a. What is -13*l(h) + 6*p(h)? -h**3 - h Let y = -88 + 93. Let f(t) = -7*t**3 + 3*t**2 - 5*t + 1. Let z(k) = -11*k**3 + 5*k**2 - 8*k + 2. What is y*z(r) - 8*f(r)? r**3 + r**2 + 2 Let r(i) = 1 + 15*i - 22823*i**2 + 22824*i**2 - 14*i. Let w(k) = -15*k**3 + 5*k**2 + 5*k + 5. What is 5*r(t) - w(t)? 15*t**3 Suppose 6 - 10 = -4*r. Let o(a) = a**2 + 1. Let q(y) = -4*y**2 - 5. Let d(k) = r*q(k) + 5*o(k). Let s(j) = -7*j**2. What is -6*d(c) - s(c)? c**2 Let u(f) = -16*f**2 - 11*f - 328. Let m(b) = -3*b**2 - 2*b - 66. Calculate -11*m(n) + 2*u(n). n**2 + 70 Let b(i) = -2*i**2 + 4*i + 5. Let p(j) = 5*j**2 - 9*j - 11. Let o be 10/(-4)*(-28)/35. Suppose -o*a = a + 9. Calculate a*p(r) - 7*b(r). -r**2 - r - 2 Let k(y) = 2*y - 2. Let d(c) = -c + 22. Let n be d(19). Suppose -4*x = -3*x + n. Let v(g) = -2*g + 3. What is x*k(i) - 2*v(i)? -2*i Let k(n) = 93*n**2 + 4*n - 4. Let c(x) = -x + 1. What is 4*c(s) + k(s)? 93*s**2 Let f(b) = -142*b**3 - 5*b**2 + 5. Let q(j) = -285*j**3 - 9*j**2 + 9. What is 9*f(a) - 5*q(a)? 147*a**3 Let u(o) = -133*o + 646 + 285*o**2 + 587 - 1100. Let x(d) = 13*d**2 - 6*d + 6. Calculate -6*u(r) + 133*x(r). 19*r**2 Let b(q) = -16*q**2 - 202*q + 7. Let v(o) = -5*o**2 - 68*o + 2. Determine 2*b(f) - 7*v(f). 3*f**2 + 72*f Let y(n) = 21*n**3 + 13*n - 9. Let k(g) be the first derivative of 11*g**4/4 + 7*g**2/2 - 5*g + 199. Determine 11*k(q) - 6*y(q). -5*q**3 - q - 1 Let z(b) = -b**2 - 7*b - 3. Let o(d) = d + 1. What is -4*o(t) - z(t)? t**2 + 3*t - 1 Let i(v) = 2*v**3 + 3*v**2 + 3*v - 2. Let z(r) = 61*r**2 + 2*r - 1 - 115*r**2 + 3*r**3 + 56*r**2. Give 2*i(w) - 3*z(w). -5*w**3 - 1 Let z(m) = m**2 + 2*m. Suppose -18*p = -22*p - 4*n + 12, 0 = -4*p - 2*n + 18. Let v(u) = 3*u**2 + 7*u. Give p*v(s) - 21*z(s). -3*s**2 Let f(q) = -2*q + 30. Let y(i) = 2*i - 45. What is -7*f(h) - 5*y(h)? 4*h + 15 Let a(v) = 5*v - 2. Let b(w) = 4*w - 2. Let l be -2*(3 + (-3)/(-6)). Let i be ((-2)/(-3))/((-4)/(-36)). Determine i*a(c) + l*b(c). 2*c + 2 Let c(u) = 6*u + 1. Let g(y) = 6*y**2 - 30*y - 34. What is 5*c(h) + g(h)? 6*h**2 - 29 Let b(g) be the second derivative of -7*g**3/3 + 7*g**2/2 + 217*g. Let j(a) = 7*a - 4. What is -4*b(q) - 7*j(q)? 7*q Let c(f) = -3. Let k(p) = -4. Let v(q) = 5*c(q) - 4*k(q). Let a(z) = z + 7. Give -3*a(o) + 21*v(o). -3*o Let j(i) = 75*i + 71. Let w be j(-1). Let l(n) = -5*n**3. Let z(c) be the second derivative of c**5/5 + c. Give w*z(u) - 3*l(u). -u**3 Let f(w) = 3 - 603905*w - w**2 + 603905*w. Let q(j) = -j**2 + 5. Determine -8*f(l) + 5*q(l). 3*l**2 + 1 Let c(s) be the third derivative of s**4/3 + 3*s**3/2 + s**2 - 18. Let q(z) = -4*z - 4. Give 2*c(i) + 5*q(i). -4*i - 2 Let u(c) = -4*c**2 + 2*c - 1. Let h(k) = k**2 - 1. Give -h(b) - u(b). 3*b**2 - 2*b + 2 Let k(y) = -y**2. Let m(i) = i**2 + 1. Suppose 3*b + 2*b - 5*x - 90 = 0, -4*x + 33 = 3*b. Let r be (5/b - (-14)/3) + -1. Calculate r*k(w) + m(w). -3*w**2 + 1 Let k(m) = -7*m**2 - 34*m + 32. Let p(o) = 6*o**2 + 26*o - 31. What is -3*k(r) - 4*p(r)? -3*r**2 - 2*r + 28 Let b(n) = -21*n - 5. Let o(t) = 21*t + 6. Let h(u) = -5*b(u) - 6*o(u). Let s(k) = -14*k - 7. Calculate 5*h(i) - 8*s(i). 7*i + 1 Let p(j) = 16*j + 264. Let f(b) = 3*b. Determine -6*f(u) + p(u). -2*u + 264 Let p(h) = -h**2 - h. Let t(y) = 4*y + 2. Let v(l) = 2*p(l) - t(l). Let u(o) = 2*o**2 + 7*o + 2. Give 5*u(r) + 6*v(r). -2*r**2 - r - 2 Let h(r) = -4*r**3 + 5*r + 7. Let o = -354 - -362. Let s(p) = 6*p**3 - 8*p - 11. Determine o*h(w) + 5*s(w). -2*w**3 + 1 Let k(r) = -2*r**3 + 3*r**2 - 6. Let m(c) = -3*c**3 - 2*c**2 + 0*c**2 + 3*c**3 - 3*c**3 + 4*c**3 + 5. Calculate -2*k(a) - 3*m(a). a**3 - 3 Let r(n) = 636*n**3 - 12*n**2. Let z(l) = 2545*l**3 - 45*l**2. Calculate -15*r(o) + 4*z(o). 640*o**3 Let k(s) = 4*s**3 - s**2 + 4*s. Let d(a) = -9*a**3 + 3*a**2 - 9*a. Let r = -1771 - -1773. Calculate r*d(z) + 5*k(z). 2*z**3 + z**2 + 2*z Let r be (-88)/(-6) + 3 + 2/6. Let f(y) = 13*y**3 + 9. Let s(c) = c**3 + 1. What is r*s(u) - 2*f(u)? -8*u**3 Let h(q) = 2*q. Let a(c) = -12*c - 1 - 8*c + 18*c - c + c**2. Calculate 4*a(p) + 6*h(p). 4*p**2 - 4 Let x(z) be the third derivative of -z**5/30 - 3*z**4/8 + z**3/6 - 10*z**2. Let c = -11 + 6. Let t(l) = -7*l - 3*l - l**2 + 6*l. Calculate c*t(f) + 2*x(f). f**2 + 2*f + 2 Let p = 28 + -74. Let y = p + 42. Let c(i) = i**2 - 4. Let u(f) = 3*f**2 - 9. What is y*u(m) + 9*c(m)? -3*m**2 Let i(n) = -n**2 - 2*n + 1. Let j(c) = 3*c - 4. Let x(g) = -6*g + 7. Let a = -37 + 14. Let p = 28 + a. Let t(v) = p*j(v) + 3*x(v). Give -3*i(r) + 2*t(r). 3*r**2 - 1 Let g(l) = l**3 - l**2 - l. Let h(r) = 8*r**3 - 6*r**2 - 4*r. Let z = 72 - 95. Let j = 22 + z. Determine j*h(y) + 6*g(y). -2*y**3 - 2*y Let g(f) = -10*f + 10. Let t(b) be the first derivative of -b**4/24 + b**3/6 - 19*b**2/2 - 9. Let v(o) be the second derivative of t(o). Give 2*g(i) - 22*v(i). 2*i - 2 Let a(r) = -26*r - 10. Let s(k) = 5*k + 2. Let p = 273 + -257. Give p*s(w) + 3*a(w). 2*w + 2 Let s = 29 + -23. Suppose -5*c + 35 = -4*h, s*h + 31 = h + 2*c. Let z(q) = -6*q - 7. Let t(p) = p + 1. Determine h*t(d) - z(d). d + 2 Let d(s) = -14*s + 6. Let b be -3*(-3 + (-4)/(-3)). Let o(i) = 0*i + 1 + 1 - b*i. Calculate -6*d(w) + 17*o(w). -w - 2 Let b(u) = 5*u**2 + 23*u - 2. Let d(q) = 15*q**2 + 69*q - 7. What is 7*b(g) - 2*d(g)? 5*g**2 + 23*g Let k(o) be the second derivative of 13*o**5/20 + 5*o**4/4 - o**3/2 - 7*o + 26. Let v(i) = 6*i**3 + 7*i**2 - i. What is 3*k(p) - 7*v(p)? -3*p**3 - 4*p**2 - 2*p Let b(m) = -m**2 + 5*m + 1. Let s be b(6). Let x(g) = -2. Let u(h) = h + 23. Let i(n) = n + 32. Let f(r) = 3*i(r) - 4*u(r). Calculate s*x(q) - 2*f(q). 2*q + 2 Suppose 0 = 2*q, -3*r = -4*r + 3*q. Let u(m) = 7 - 6 + r*m - 2*m + m. Let x(s) = -9 + 0*s + 2 + 2*s + s**2 + 3. Calculate 2*u(w) + x(w). w**2 - 2 Let x(h) be the second derivative of -h**2 + 5*h - 1. Let a(p) = -p + 3. Calculate -3*a(l) - 5*x(l). 3*l + 1 Let g(x) = -x - 7. Let c(m) = -m + 1. Let p(t) = 4*c(t) + g(t). Let v(r) = -6*r - 3. What is -4*p(d) + 3*v(d)? 2*d + 3 Let n(s) = 11*s**3 + 9*s**2 + 17*s - 3. Let z(v) = 3*v**3 + 2*v**2 + 4*v - 1. What is -2*n(f) + 9*z(f)? 5*f**3 + 2*f - 3 Let k(s) = s + 8*s**2 - 2*s**2 - 2*s**2. Let x(z) be the first derivative of -13*z**3/3 - 3*z**2/2 + 383. What is 7*k(o) + 2*x(o)? 2*o**2 + o Let b(g) = -2*g + g**2 + 7 + 3*g**2 - g**2 - 5*g. Suppose -5*p = k + 2, -2*p = k - 0*p + 5. Let y(q) = q**2 - 3*q + 3. Calculate k*y(w) + 3*b(w). 2*w**2 Let b(t) = -5 + 2 - 12*t - 1 + 14*t. Let u(q) = -2*q + 5. What is -3*b(j) - 2*u(j)? -2*j + 2 Let b(v) = 27*v**2. Let f(y) = -25*y**2. What is -2*b(z) - 3*f(z)? 21*z**2 Let s(v) = 7*v - 47. Let g be s(7). Let n(f) be the first derivative of -f**2/2 - f - 2. Let x(k) = k - 1. Determine g*n(i) - x(i). -3*i - 1 Let o(r) = 3*r + 1 - 3*r - 5*r. Let b(l) = l - 1. Suppose -7*h + 2*h - 160 = 0. Let t = -36 - h. Calculate t*b(u) - o(u). u + 3 Let z be (-4)/(-22) - (4 + (-4408)/(-44)). Let c(w) = -16*w**3 - 3*w**2 - 3*w + 3. Let p(t) = -559*t
{ "pile_set_name": "DM Mathematics" }
60*t**3*y**3 What is the derivative of 4*l**4 - 335*l - 24670? 16*l**3 - 335 What is the second derivative of 2*s**4 + 23*s**2 + 5*s - 3? 24*s**2 + 46 Differentiate -822*k*l - 158*k + 2 wrt l. -822*k What is the second derivative of 34*h**3*v**2 - 920*h**3*v + h**2*v**2 - 2*h*v wrt v? 68*h**3 + 2*h**2 What is the derivative of -143*q**2 + 89? -286*q What is the second derivative of -43*y**3 + 2*y**2 + 182*y wrt y? -258*y + 4 What is the second derivative of -3874*a**2 - 550*a wrt a? -7748 What is the first derivative of 5*h**2 - 17*h + 410? 10*h - 17 Find the second derivative of -89*c**3 - 2*c**2 - 626*c wrt c. -534*c - 4 Find the second derivative of 255*a**3*w**2 - 575*a*w**2 wrt a. 1530*a*w**2 What is the third derivative of -5*i**2*v**4 - 10*i**2 - 34*i*v**2 + 7*v**4 wrt v? -120*i**2*v + 168*v What is the first derivative of k**3 - 77*k**2 + 129? 3*k**2 - 154*k Find the second derivative of 170*o**2 + 240*o wrt o. 340 What is the third derivative of -3425*r**6 - 919*r**2? -411000*r**3 What is the third derivative of -4*m**4 + 3*m**3 - 198*m**2? -96*m + 18 Differentiate -83*m*t - 324*t with respect to m. -83*t Find the second derivative of k*r**3*z + 2*k*r**3 + 4*k*r*z**2 - 2*k*z**2 - 2*k*z - 113*r**2*z**2 + 2*z wrt r. 6*k*r*z + 12*k*r - 226*z**2 What is the third derivative of -619*y**6 + 3*y**2 - 55? -74280*y**3 What is the second derivative of -3*a**2*l**2 + 2*a**2*l + 81*l**5 - 4*l wrt l? -6*a**2 + 1620*l**3 Find the second derivative of 6*g**3*y - 16*g**2*y**2 - g*y**2 + 2*g*y + 5*y**2 + 2*y wrt g. 36*g*y - 32*y**2 Find the second derivative of 30137*r**3 - r + 4867. 180822*r Find the third derivative of -2061*y**3 + 501*y**2 - y. -12366 Find the second derivative of 294*m**4 + 2*m + 39. 3528*m**2 Find the second derivative of -404*u**4 - 2*u + 589. -4848*u**2 Find the third derivative of -40*d**6 + d**5 + 7*d**4 - d**2 - 975. -4800*d**3 + 60*d**2 + 168*d What is the third derivative of 19737*f**5 - 33*f**2 + 106 wrt f? 1184220*f**2 Find the second derivative of 86*i**5 - i**3*r**3*w - 74*i*r*w + i*r - 2*r**3*w wrt i. 1720*i**3 - 6*i*r**3*w What is the third derivative of 20*t*v**4 - t*v**3 - 2*t*v - 40*v**3 - 720*v**2 wrt v? 480*t*v - 6*t - 240 What is the derivative of 126*i*n + 182*i + 4*n wrt n? 126*i + 4 Find the third derivative of 4506*d**3 + 23*d**2 - 2*d + 2 wrt d. 27036 What is the third derivative of 119*i**5*s**2 + 4*i**5 + 2*i**2*s**2 - 166 wrt i? 7140*i**2*s**2 + 240*i**2 Find the third derivative of 4122*q**3 + 2*q**2 - 8*q + 28. 24732 What is the third derivative of -297*c**4*f + 6*c**3*f - 475*c**2 + 2*f wrt c? -7128*c*f + 36*f What is the third derivative of -j*u**4*w + j*w + u**5 + 28*u**3*w**2 + 2*u**2 + 2*u*w**2 wrt u? -24*j*u*w + 60*u**2 + 168*w**2 Find the second derivative of -4034*l**2 - 1171*l + 1 wrt l. -8068 Find the third derivative of u**3*w**4 + 6*u**3*w**2 - 23*u**2*w**4 - 10*u**2*w**2 wrt w. 24*u**3*w - 552*u**2*w Find the second derivative of -131*z**4 - 97*z - 1 wrt z. -1572*z**2 Differentiate -2*c**3*v - 2*c**3 - 29*c*h - 45*h*v**3 + v**3 with respect to v. -2*c**3 - 135*h*v**2 + 3*v**2 What is the second derivative of -318*o**3 - 21*o + 1 wrt o? -1908*o Find the third derivative of -2*u**4 + 81*u**3 + 16*u**2 + 1. -48*u + 486 What is the third derivative of 387*b**4 + 116*b**2 wrt b? 9288*b Find the second derivative of -9*f**5 - 23*f**2 - 223*f wrt f. -180*f**3 - 46 What is the third derivative of -8003*q**3 + 2*q**2 + 2*q + 22? -48018 Find the first derivative of -4*g*k**3 - 505*g*k - 851*k**3 wrt g. -4*k**3 - 505*k Find the second derivative of -71*q**5 - 73*q - 1. -1420*q**3 What is the first derivative of -4*l*v*x - 78*l*x*z**2 - v*x*z - 9*v*z**2 + 2*x*z - 2 wrt l? -4*v*x - 78*x*z**2 Differentiate 3*p**4 + 120*p + 7487 with respect to p. 12*p**3 + 120 What is the second derivative of -471*c**2*t**3 + 116*c*t**2 + t**3 wrt c? -942*t**3 Find the first derivative of -4711*c**3*n + 2*c**3 + 13*c - 49 wrt n. -4711*c**3 What is the derivative of j**3 + 1548*j**2 + 2*j - 15303 wrt j? 3*j**2 + 3096*j + 2 What is the derivative of 111*g**2 + 890? 222*g Find the third derivative of g**6 - 4*g**3 + 2*g**2 - 79. 120*g**3 - 24 What is the third derivative of -431*h**4 - h**3 + 3131*h**2 wrt h? -10344*h - 6 Find the third derivative of q**6 + 2*q**4 - 18*q**3 - 13*q**2 - 4*q - 8 wrt q. 120*q**3 + 48*q - 108 Find the third derivative of 4361*q**3 + 1646*q**2. 26166 What is the derivative of 944*m**2*u**3 + m**2*u + 39*u**3 - 26*u**2 + 2 wrt m? 1888*m*u**3 + 2*m*u What is the third derivative of 10*t**5 - 11*t**4 + 132*t**2 - 2*t? 600*t**2 - 264*t What is the third derivative of 4*j**3*y**2 - 8*j**2*y**2 + 6*j*y**2 - j wrt j? 24*y**2 What is the second derivative of -146*o**2 - 257*o wrt o? -292 Find the first derivative of -203*d**3*r - 3*d**2*r + d + 2*r - 786 wrt d. -609*d**2*r - 6*d*r + 1 What is the second derivative of -704*p**5 - 1087*p wrt p? -14080*p**3 Find the second derivative of -11*a**2*m*o*x - 428*a**2*m*o + 2*a**2*m*x**3 + 47*a*m*o - a*m*x**2 - 2*a*x**3 + 3*m*x**3 wrt a. -22*m*o*x - 856*m*o + 4*m*x**3 What is the third derivative of 150*q**3 - 13*q**2 - 12*q? 900 Differentiate 13975*x**2 + 13284 wrt x. 27950*x What is the derivative of 3*h*j**4 + 6*h*j - 146*h - 2*j**4 - 2 wrt j? 12*h*j**3 + 6*h - 8*j**3 What is the third derivative of -5*g**3*z + 6*g**3 + 9*g**2*z - g**2 + 4*g wrt g? -30*z + 36 Differentiate h**3*x**2 - 3*h**3 + 47*h**2*x**3 - 203 with respect to x. 2*h**3*x + 141*h**2*x**2 What is the third derivative of -15*b*d**2*o**2 + b*d*o**2 - 11*b*o**3 - b*o + d**2*o**3 wrt o? -66*b + 6*d**2 What is the first derivative of -11*v**2 - 51 wrt v? -22*v Differentiate 64*h*m**3 + 2*h*m*r**2 + 44*m**3 + m*r**2 wrt h. 64*m**3 + 2*m*r**2 Differentiate 60*k + 514 with respect to k. 60 Find the first derivative of 1872*i**2 + 17180. 3744*i What is the second derivative of -2144*b**4 + 4*b - 103? -25728*b**2 Find the first derivative of 18*a**3 + 8*a**2 - 6*a - 5067. 54*a**2 + 16*a - 6 Find the first derivative of -417*o + 1509. -417 What is the second derivative of 222*m**3 - m**2 - 228*m + 1 wrt m? 1332*m - 2 What is the second derivative of -383*w**2 - 91*w + 3 wrt w? -766 Find the third derivative of -3*a**3*s**2*z - 18*a**3*s*z**2 + 31*a**2*s*z - 2*a*s**2 + 3*z**2 wrt a. -18*s**2*z - 108*s*z**2 What is the first derivative of 1874*f**2 - 3594? 3748*f What is the third derivative of -29*h**4 - 15*h**3 - 990*h**2 wrt h? -696*h - 90 What is the derivative of 26*c**2*i**3 - c**2*i - 4*i**3 + 67*i wrt c? 52*c*i**3 - 2*c*i What is the second derivative of -532*b**3 + 3*b**2 + 3071*b + 2? -3192*b + 6 Find the first derivative of -5*s*t**3*w - 246*s*w + s - 2*t**3 - 2*t**2*w + 32*t**2 + 13*t wrt s. -5*t**3*w - 246*w + 1 Find the third derivative of -2*b**3*g**2*n**3 + 736*b**3*g**2 + 2*b**2*g**2*n + 13*b*g**2*n - g*n**3 wrt b. -12*g**2*n**3 + 4416*g**2 Find the second derivative of 966*d*k**2 - 6*d*k - 38*d + 3*k wrt k. 1932*d Differentiate 5*g**3*w - 121*g**3 + 6*g*w with respect to w. 5*g**3 + 6*g Find the third derivative of -1491*k**6 - 2*k**2 - 577*k wrt k. -178920*k**3 What is the third derivative of 13*g**5 + 18*g**4 - g**3 + 3*g**2 - 454 wrt g? 780*g**2 + 432*g - 6 Find the first derivative of 2*g**2*v - 42*g**2 - 13*g*v**2 - 14*g + 147*v + 1 wrt v. 2*g**2 - 26*g*v + 147 Differentiate 7001*f**2 + 6297. 14002*f What is the second derivative of -796*x**3 - 3*x**2 + 2*x + 491? -4776*x - 6 Find the second derivative of 4*n**2*x**3 - 2*n**2*x**2 - 7*n**2*x + 14*n**2 - 2*x**5 wrt x. 24*n**2*x - 4*n**2 - 40*x**3 Differentiate 2*a**2*n**2 - 2*a*n**2 + 9*a*n*y - 93*a - n**2*y - 50*n**2 + 4*n*y + 2 with respect to a. 4*a*n**2 - 2*n**2 + 9*n*y - 93 What is the second derivative of -267*h**2*u**2 - h**2 - 120*h*u**2 - h*u wrt h? -534*u**2 - 2 Find the third derivative of 44*b**5 + 8*b**4 + 341*b**2 wrt b. 2640*b**2 + 192*b Differentiate 154*d**3 - 11*d**2*w**2 + d - 364*w**2 - 6 wrt d. 462*d**2 - 22*d*w**2 + 1 What is the second derivative of 23*a**2*i**3*o**2 + 2*a**2*o**3 - a**2*o + a*o**3 + 2*a*o**2 + 29*i**3*o**3 + i**3*o - 2*i wrt a? 46*i**3*o**2 + 4*o**3 - 2*o Find the second derivative of -108*a**3 - 9*a**2 + 2345*a. -648*a - 18 Find the second derivative of 17*i*k**4 - 136*i + 37*k**5 + 2*
{ "pile_set_name": "DM Mathematics" }
ive of m**8/48 - m**5/3 - 4*m**3 - 10. Let u(i) be the third derivative of k(i). What is the second derivative of u(h) wrt h? 420*h**2 What is the first derivative of -34*p**3 - 13 + 12*p**3 - 6*p**3 + 76 wrt p? -84*p**2 Let o(v) be the third derivative of -809*v**5/60 - 53*v**4/24 + v**3/3 - 213*v**2. Find the second derivative of o(q) wrt q. -1618 Find the third derivative of 81*f**3 + 2618*f**2 - 1367*f**2 - 1332*f**2 wrt f. 486 Suppose -3*g + 10 = 2*g. Find the third derivative of 9*m**2 - 11*m**5 + 5*m**5 - 13*m**g wrt m. -360*m**2 Let b(p) = -p - 5. Let t = -9 - -9. Suppose -u = -t*u - 3. Let o(h) = 5. Let v(k) = u*b(k) + 2*o(k). Differentiate v(x) wrt x. -3 Let u(z) = -190*z**2 + 8*z - 248. Let y(t) = -2*t**2 - t + 2. Let x(m) = u(m) + 8*y(m). Differentiate x(n) with respect to n. -412*n What is the first derivative of -38*c + 83*c + 107 - 722*c wrt c? -677 Let i(k) be the second derivative of -7*k**5/60 - 17*k**3/6 + 9*k**2 - 15*k. Let q(z) be the first derivative of i(z). Differentiate q(f) with respect to f. -14*f Let u(w) be the first derivative of -6*w**2 + 345*w + 377. What is the derivative of u(h) wrt h? -12 Let y be -3 + (0 - -5) - 2. Suppose y = 2*i - 11 - 1. What is the third derivative of -3*n**6 + 2*n**2 + 3*n**2 + i*n**6 - 2*n**2 wrt n? 360*n**3 Let t(g) = -g**2 - 1. Let h(b) = -7*b**4 + 14*b**2 + 68. Let m(p) = h(p) - 5*t(p). Find the first derivative of m(r) wrt r. -28*r**3 + 38*r Let y(v) be the third derivative of 0 + 2*v**2 + 0*v + 0*v**4 + 5/6*v**3 + 11/60*v**5. What is the derivative of y(k) wrt k? 22*k Let z(a) be the second derivative of 4 + 0*a**2 + 7/3*a**3 + 3/2*a**4 + 2*a. Find the second derivative of z(g) wrt g. 36 What is the third derivative of 80*k**6 + 67*k**6 + 15*k**6 - 56*k**2 wrt k? 19440*k**3 Let p(s) be the first derivative of s**7/42 - 5*s**3/6 - 7*s**2 - 20. Let n(c) be the second derivative of p(c). Find the first derivative of n(i) wrt i. 20*i**3 Let u(s) be the first derivative of 0*s**2 + 10*s + 0*s**3 - 28/5*s**5 + 0*s**4 + 25. What is the derivative of u(z) wrt z? -112*z**3 Let i(d) = 18*d**4 - 55. Let a(h) = 90*h**4 - 275. Let u(k) = 2*a(k) - 11*i(k). Differentiate u(o) wrt o. -72*o**3 Let c = -8 + 28. Suppose -2*d - 3*l = 1, 3*d - 2*l = -2 + c. What is the third derivative of -d*x**5 + 3*x**2 - 3*x**2 - 7*x**2 wrt x? -240*x**2 Find the second derivative of 3*n - 5 - 4*n**2 + 3 + n**2 + 6*n wrt n. -6 Let w(a) be the third derivative of -11*a**7/2520 + a**6/720 - 3*a**5/20 + 17*a**2. Let p(r) be the third derivative of w(r). Differentiate p(b) wrt b. -22 Let t(w) = 4*w**3 + 3. Let y(z) = -z**3 - 1. Let d(c) = 2*t(c) + 6*y(c). Let i be d(1). Find the third derivative of s**2 + 0*s**i + 6*s**2 - 2*s**3 wrt s. -12 Find the second derivative of -277*t**2 - 207*t - 10 - 109*t**2 + 11 - 2 wrt t. -772 Let x = -466 - -472. Let y(o) be the second derivative of 0 + 0*o**4 - 2/3*o**3 - 1/5*o**x + 0*o**5 - o + 0*o**2. What is the second derivative of y(i) wrt i? -72*i**2 Let b(c) = 487*c**2 + 6*c - 217. Let j(w) = -60874*w**2 - 748*w + 27126. Let p(s) = -748*b(s) - 6*j(s). Find the first derivative of p(m) wrt m. 1936*m Let n be (5/25*-6)/(4/(-10)). What is the second derivative of -2*b**4 + 4*b**4 + 5*b**4 + n*b wrt b? 84*b**2 Let w(u) = -u**2 - u. Let h be 1 + 8/(2 + -6). Let d be w(h). Find the second derivative of -9*r - 12*r**3 + r + d*r wrt r. -72*r Let s(u) be the first derivative of -u + 4 + 1/6*u**3 - 2*u**2. Let k(d) be the first derivative of s(d). Differentiate k(n) with respect to n. 1 Let r = 13 + -24. Let g = r + 17. Find the first derivative of 7*j - 4*j - 7 + g*j - 3*j wrt j. 6 Let t(m) be the third derivative of 2*m**9/63 - 8*m**5/5 - 62*m**2. What is the third derivative of t(o) wrt o? 1920*o**3 Let h = 11 - -14. What is the third derivative of -2*r**4 + 10*r**2 + 4*r**4 - h*r**4 wrt r? -552*r Let s(y) be the third derivative of 7*y**6/40 - 17*y**5/15 - y**3/3 + 80*y**2. What is the third derivative of s(w) wrt w? 126 Let y(w) = 51*w**3 - 6*w + 59. Let b(o) = 154*o**3 - 17*o + 178. Let k(z) = 6*b(z) - 17*y(z). Differentiate k(c) with respect to c. 171*c**2 Let u(l) be the second derivative of -l**6/2 - 13*l**3/6 + 251*l**2/2 - 20*l - 12. Differentiate u(z) with respect to z. -60*z**3 - 13 Let o(i) be the first derivative of 706*i**3/3 - 25*i - 632. What is the derivative of o(p) wrt p? 1412*p Let t(p) be the third derivative of p**6/24 + 50*p**3/3 - p**2 + 31*p. What is the first derivative of t(x) wrt x? 15*x**2 Let s(h) = 3*h**2 + 2*h + 2. Let p be s(-1). Differentiate -3 + 0*v**4 + 66*v**p - 6*v**4 - 66*v**3 with respect to v. -24*v**3 Suppose 12 = -14*u + 18*u. Find the third derivative of -26*x**4 - 7*x**u + 20*x**3 - 13*x**3 + 25*x**2 wrt x. -624*x Suppose -13 - 7 = 4*w. Let o(i) = -10*i**4 - 44*i. Let p(x) = -7*x**4 - 29*x. Let z(c) = w*o(c) + 7*p(c). Find the second derivative of z(d) wrt d. 12*d**2 What is the third derivative of -2*v**2 + 73*v**6 + 18*v**2 - 13*v**2 wrt v? 8760*v**3 Let r(v) = 5*v - 29. Let b(p) = p - 12. Let q be b(9). Let f(k) = 4*k - 28. Let i(z) = q*f(z) + 2*r(z). Find the first derivative of i(u) wrt u. -2 Let p(u) be the first derivative of -13*u**3/3 - 2*u**2 - 17*u + 31. Find the first derivative of p(y) wrt y. -26*y - 4 Let t(f) = 63*f**2 + 172*f - 12. Let y(g) = -62*g**2 - 171*g + 10. Let u(z) = -5*t(z) - 6*y(z). Find the second derivative of u(r) wrt r. 114 Let y(d) be the third derivative of -2*d**7/15 - d**6/40 + 13*d**5/15 - d**4/24 - 133*d**2 - d. What is the third derivative of y(u) wrt u? -672*u - 18 Let r(z) be the first derivative of -13*z**3 + 18*z - 25. What is the derivative of r(u) wrt u? -78*u Find the third derivative of 11*j**2 + 12*j**2 - 2*j**6 + 4*j**4 - 3*j - 28*j**4 + 3*j**6 wrt j. 120*j**3 - 576*j Suppose 3*f - 48 = -f. Suppose -p - f = -3*v + p, -4*p - 16 = -4*v. Find the third derivative of -7*t**2 + 5*t**v + 77*t - 77*t wrt t. 120*t Let p(t) be the second derivative of 4*t**5/5 + 5*t**4/12 - 10*t**2 - 62*t. Find the first derivative of p(a) wrt a. 48*a**2 + 10*a Let u(o) be the third derivative of 26*o**9/63 - o**5/30 - 19*o**3/3 - 3*o**2 + 4. What is the third derivative of u(i) wrt i? 24960*i**3 Let a(q) = -q**3 + 6*q**2 + 9*q + 9. Let i be a(7). Find the second derivative of i*v - 4*v**4 + 6*v**4 + 0*v**4 - 4*v wrt v. 24*v**2 Suppose -10 = -5*z, -3*r + 2*z = -6*r + 13. Differentiate -r - 1 + 0 + 12*h - 39*h with respect to h. -27 Let w(s) be the first derivative of 84*s**2 + 91*s**2 - 26*s + 3 - 184*s**2. What is the derivative of w(n) wrt n? -18 Let k(p) be the second derivative of 179*p**6/15 + 43*p**3/3 - 736*p. What is the second derivative of k(s) wrt s? 4296*s**2 Let f(h) be the second derivative of -115*h**4/12 + 4*h**2 - 39*h - 1. What is the first derivative of f(k) wrt k? -230*k Suppose 5*y - 2*r = 25, 0 = -4*y + 2*r + 11 + 11. Find the second derivative of -2*k**4 + 21*k - 4*k**y + 4*k**3 - 34*k wrt k. -24*k**2 Let k(r) be the first derivative of -9*r**6/2 - 3*r**4/4 + 169*r**3/3 - 143. Find the third derivative of k(i) wrt i. -1620*i**2 - 18 Let u = 82 - 79. Find the second derivative of -10*n**4 - n**2 - 9*n + 563*n**3 - 563*n**u wrt n. -120*n**2 - 2 What is the second derivative of 7*p**5 - 61*p**3 + 120*p**3 - 61*p**3 - 84*p wrt p? 140*p**3 - 12*p Let k(j) be the first derivative of 23*j**7/7 + 7*j**6/6 - 242*j**3/3 + 176. What is the third derivative of k(z) wrt z? 2760*z**3 + 420*z**2 What is the third derivative of -6*t**5 + 23989 - 648*t**2 - 4*t**4 - 23989 - 2*t**5 wrt t? -480*t**2 - 96*t Let p(q) be the first derivative of 523*q**4/4 + 242*q - 179. Differentiate p(z) wrt z. 1569*z**2 What is the second derivative of 2219*z**2 - 1146*z**2 - 1309*z**2 + 259*z wrt z? -472 Suppose 0 = 4*z - z + 2*u - 46, -6 = -3*u. Let l be (-18)/12 + z/4. Find the first derivative of 0*h + 2 - 7*h + l*h - 4 wrt h. -5 Let k(s) be the second derivative of 97*s**3/6 - 41*s**2/2 - 19*s - 1. What is the derivative of k(m) wrt m? 97 Find the first derivative of 39*r**4 + 339 + 6*r**4 - 11*r**4 wrt r. 136*r**3 Suppose -1 = 3*c - 7. Find the third derivative of -21*x**6 + 6*x**c + x**2 - 17*x**2 wrt x. -2520*x**3 Let o be (0 - 4/4)/(2/(-50)). What is the second derivative of -v + 20 - 20 + 28*v**4 - o*v wrt v? 336*v**2 Le
{ "pile_set_name": "DM Mathematics" }
) = c - 2. Let b be w(4). Let n = 4 - b. Calculate the highest common factor of 4 and n. 2 Let d(y) = 4*y**2 + 5*y - 2. Let k be d(-4). What is the greatest common divisor of 28 and k? 14 Let b(k) = k - 11. Let w be b(0). Let z(m) = m + 15. Let u be z(w). What is the greatest common divisor of u and 10? 2 Suppose 5*o = -0*o + 560. Suppose -2*c = -5*c + 108. Suppose -t = 3*s - c - 10, 5*s = 5*t + 50. What is the greatest common factor of o and s? 14 Suppose -2*u + 32 = -140. Suppose 4*y + 10 - u = 0. What is the highest common divisor of y and 133? 19 Let w = 14 + -10. Let v be (8/6)/(w/30). Suppose m + 1 = 4*f, -4*m + 8 = 4*f - 8. Calculate the highest common factor of v and f. 1 Suppose k = -4*k + 25. Let a = 8 - k. Suppose 3 = -5*i - 2*j + 46, a*i + 5*j - 22 = 0. What is the greatest common divisor of i and 99? 9 Let n = 6 + -1. Suppose -i = -10*h + 5*h + 25, -n*i - 17 = 2*h. Calculate the greatest common divisor of h and 28. 4 Suppose -3*o + 6*o = 3. What is the greatest common divisor of 7 and o? 1 Suppose -3*p + a + 87 = 4*a, -4*a + 35 = p. Let r = 6 + p. Calculate the greatest common factor of 11 and r. 11 Let n(d) = d**2 - 2. Suppose 0 = f + 2 - 0. Let o be n(f). Suppose 3*g - i + 2 = 0, 2*i - 27 = -o*g - 3*i. What is the greatest common factor of g and 8? 1 Suppose -2*m + 2*h + 246 = 0, 4*m - h - 2*h = 489. Let s = -41 + 71. Let o = -15 + s. What is the greatest common divisor of m and o? 15 Let l = 30 + -14. What is the greatest common factor of l and 2? 2 Suppose -s = s - 4*z - 102, -5*z = 5*s - 210. Let t = 18 - 13. What is the highest common divisor of s and t? 5 Suppose t + 2*t = 0, 8 = 4*a - 2*t. What is the greatest common factor of 14 and a? 2 Let t be (-120)/(-35) + 6/(-14). Suppose -t + 2 = -o. What is the greatest common divisor of 7 and o? 1 Let t = 15 + -12. What is the greatest common divisor of t and 12? 3 Let d be (88/20)/(8/20). What is the greatest common factor of d and 33? 11 Let f = -25 + 55. Calculate the greatest common divisor of 10 and f. 10 Suppose -4*f - 34 = -4*r + 110, -3*r + 108 = 4*f. Suppose -a - 2 = -4*b, 2*b + 5 = a - 3. What is the highest common factor of a and r? 18 Let c = -15 - -29. What is the highest common divisor of 28 and c? 14 Let u = -6 - -15. Let o = 13 - 5. Let d be 2/8 - (-70)/o. Calculate the highest common divisor of u and d. 9 Suppose -4*p - 4*b = -312, -3*b = -3*p + 5*p - 153. Calculate the highest common factor of 9 and p. 9 Let b(g) = 4*g + 2. Let m(i) = i - 1. Let u(k) = -b(k) - 5*m(k). Let x be u(-9). Suppose -4*a - 12 = -x. Calculate the highest common factor of a and 72. 18 Suppose a = g + 2 - 0, g = 5*a - 22. Let z = g - -1. Suppose z*n + n = 40. What is the highest common factor of n and 24? 8 Suppose -6 = -2*j + j. Let n be (40/8 - -2)*(-6)/(-1). Calculate the greatest common divisor of n and j. 6 Suppose 5*h - 150 = 2*h. Suppose s = -4*s + h. Let i be (3 - 0) + (-2)/(-2). Calculate the greatest common divisor of s and i. 2 Suppose 5*s - 16 = s. Let u = -20 - -24. What is the greatest common factor of s and u? 4 Let r(k) = -k**3 + 7*k**2 - 2*k + 7. Let z be r(7). Let n = -11 + 7. Let b = n - z. What is the highest common divisor of 21 and b? 3 Let a = 27 - 20. What is the greatest common factor of 21 and a? 7 Let l be 11*3/1 + -1. Let u be 20/6*(-3)/(-2). Suppose 3*j + 0*a = u*a + 129, 39 = j - 3*a. Calculate the greatest common divisor of l and j. 16 Let q = -8 + 20. What is the highest common factor of 36 and q? 12 Let c = -39 + 41. What is the highest common factor of 16 and c? 2 Let b = -47 - -101. Suppose b = 4*r - 5*d, -3*r + 0*d - 3*d = -27. Calculate the greatest common factor of r and 121. 11 Suppose -3*a - v = -169, 5*a + 0*v + 5*v - 275 = 0. Suppose 7 = -5*l + a. Calculate the highest common factor of l and 50. 10 Let c(q) = 5*q**3 + 2*q + 1. Let j be c(-1). Let v = -4 - j. Suppose -v*r = r - 72. What is the highest common divisor of r and 3? 3 Suppose 4*l - 10 = 5*c, 0 = -5*l + 3*c - 6 + 25. Suppose -5*v - 20 = 0, y - 14 = l*v - 3*v. Calculate the greatest common divisor of 4 and y. 2 Suppose -58*j = -56*j - 36. Suppose 5*b - 25 = 20. Calculate the greatest common divisor of b and j. 9 Let n(x) be the second derivative of x**3/3 - x**2/2 - x. Let j be n(5). Let i(g) = -g + 9. Let u be i(6). Calculate the highest common factor of u and j. 3 Let z(q) = q**2 - 15*q + 9. Let k(x) = 2*x**2 - 15*x + 9. Let p(a) = -2*k(a) + 3*z(a). Let t be p(-8). What is the highest common divisor of 26 and t? 13 Suppose 5*x - s = 576, 9*x - 572 = 4*x - 3*s. Calculate the greatest common divisor of 23 and x. 23 Let h = -42 + 92. Calculate the highest common factor of h and 10. 10 Suppose -c + 28 = -49. Let p(j) = -j - 1. Let v be p(-8). What is the highest common factor of v and c? 7 Let a(o) be the second derivative of -o**4/12 + 2*o**3/3 + 7*o**2/2 + 4*o. Let n be a(5). What is the greatest common divisor of n and 2? 2 Let r = 175 - 135. What is the greatest common factor of 5 and r? 5 Suppose 3*i + 0*i + 45 = 0. Let a be (35/15)/((-1)/i). Calculate the greatest common factor of 5 and a. 5 Let u be 2/(-2)*(-4 + 1). Suppose 4*v = u*v + 4. Suppose -b + v*r - 8 + 5 = 0, 4*b - 24 = 4*r. What is the greatest common divisor of 6 and b? 3 Let x be (4/(-3) - -2)/(16/24). Calculate the greatest common divisor of 2 and x. 1 Let h(k) = -12*k + 4. Let q be h(-3). Let w(i) = i**2 + i - 4. Suppose 5*l = -7 + 22. Let b be w(l). What is the greatest common divisor of q and b? 8 Suppose 0 = -3*q - 2*q + 25. Suppose 3*r + 0 = 3*v - 3, 29 = 5*v + r. What is the greatest common factor of q and v? 5 Let l(y) = 19*y + 4. Let d be l(2). Calculate the greatest common factor of 21 and d. 21 Let n(d) = 2*d**2 + 1 - 3*d**2 - 11*d**3 + 0*d**2. Let g be n(-1). Calculate the greatest common divisor of g and 88. 11 Let n be (-3)/6 + 20/8. Suppose 0*o + n*o = 48. Suppose 3*f + o = 5*f. Calculate the highest common factor of 60 and f. 12 Let n be -1 - (-24)/1 - (3 + 1). Calculate the greatest common divisor of n and 57. 19 Let f(m) = -3*m - 6. Let r be f(-3). What is the highest common factor of r and 21? 3 Suppose -207 = -3*v + 2*i - 4*i, -2*v - 2*i + 136 = 0. Let l = -43 + v. Calculate the highest common factor of 14 and l. 14 Suppose -9*r + 137 = -34. What is the greatest common factor of 171 and r? 19 Suppose z - 58 = -z - y, -3*y = 4*z - 116. What is the highest common divisor of z and 145? 29 Let b be 384/(-28) - 2/7. Let r = b - -17. What is the greatest common divisor of r and 27? 3 Suppose -f + 10 + 50 = 0. Suppose 0 = -2*g, f = 2*v + g - 84. What is the highest common divisor of 8 and v? 8 Let j(o) = -o**3 + 4*o**2 + 2*o - 3. Let m be j(3). Let v = 175 + -67. Calculate the greatest common divisor of m and v. 12 Let q(c) = 5*c**2 + 3*c. Let x be q(-8). What is the highest common factor of 37 and x? 37 Suppose 2*f = 4*f - 12. What is the highest common factor of f and 3? 3 Suppose 6 = 3*k - 12. Suppose -10*h + k*h + 320 = 0. What is the highest common factor of h and 10? 10 Let g = 9 - 7. Suppose 0 = 5*b - 0*b - 3*h - 5, -4*h + g = 2*b. Calculate the greatest common divisor of b and 4. 1 Let f(z) = 27*z - 6. Let p be f(2). What is the highest common factor of 32 and p? 16 Suppose 14 = n + 3*i - 6, -3*n = 3*i - 30. Suppose 0 = 2*f + n*f - 56. Calculate the highest common divisor of 8 and f. 8 Suppose 5*b - 4 = 6. Suppose -n + 6 = b*j, -j + 15 = n - 2*j. Let r = 20 - n. What is the highest common factor of r and 20? 4 Let o be (-1)/(-4) + 110/8. Calculate the highest common divisor of o and 77. 7 Let g be (-143)/(-5) + -2 - (-30)/(-50). Suppose 1 = -4*k - 11, 3*q = 4*k + 51. Calculate the highest common divisor of q and g. 13 Let m be 2/(-3)*3 + 17. Suppose 2*j - m - 5 = 0. Suppose 4*i - i + k - 49 = 0, j = -2*k. Calculate the highest common divisor of i and 18. 18 Let c be 0/(-2)*7/7. Suppose 3*r + 27 = -c. Let l = 2 - r. What is the greatest common divisor of 11 and l? 11 Let k = 84 - 59. What is the highest common factor of k and 200? 25 Suppose -3*i + 7*i = -5*c + 93, -c - 5*i = -27. Let g(p) = 9*p**2 - 2*p + 1. Let q be g(-4). Calculate the greatest common divisor of c and q. 17 Suppose 8*q - 233 = 71. What is the greatest common divisor of 418 and q? 38 Let y = -10 - -12. Let v = y - -2. What is the
{ "pile_set_name": "DM Mathematics" }
Let k be v(y). What is the units digit of (-3)/(-2) - (-3)/k? 2 Let q = 7 + -9. Let a(b) = -b**2 - 3*b + 4. Let k be a(-4). Let z = k - q. What is the units digit of z? 2 Let a(x) = 184*x + 7. What is the units digit of a(1)? 1 Let v(k) = -k**2 - k + 68. What is the units digit of v(0)? 8 Suppose -56 + 136 = 5*g. What is the units digit of g? 6 Suppose -4*p - 10 = -110. Suppose 5*r - p = 15. What is the units digit of r? 8 Suppose -658 = 12*r - 3406. What is the hundreds digit of r? 2 Let z be 4/(-14) - 16/(-7). Suppose -20 = -3*w - 2*l, -w + l + 6 = z*l. Suppose -k + 5*k = w. What is the units digit of k? 2 Let n = 1 - 1. Let q be n*(1 - 3)/(-4). Suppose z - 2*z + 13 = q. What is the units digit of z? 3 Suppose 15*d - 345 = 12*d. What is the tens digit of d? 1 Let i(c) = 4*c - 8. Let u = -22 + 31. What is the units digit of i(u)? 8 Suppose 4*m + 12 = 4*c, -17 + 2 = -c + 4*m. Suppose 35 = 5*q - 0*q. Let z = q + c. What is the units digit of z? 6 Let c = 30 - 29. What is the units digit of c? 1 Let x = 18 - 1. Let l = x - -8. What is the units digit of l? 5 Let v(i) = i**3 + 6*i**2 + 2. Let b(d) = d - 15. Let q be b(9). What is the units digit of v(q)? 2 Suppose 0*w + 7 = w. Suppose -2*b + 96 = 5*g, w*b = 3*g + 2*b - 70. Suppose -3*d - s + 2*s = -15, 0 = 4*d - 5*s - g. What is the units digit of d? 5 Suppose -2*z + 36 = 4*m, 9 = 4*z - 7. Suppose -3*b + m = 4*j, 2*b = j + 3*b - 2. Suppose -j = -4*y + 7. What is the units digit of y? 2 Let f = 0 - -3. Suppose -d - 68 = 4*a, f*d + 4 = -a - 2. Let t = 32 + a. What is the tens digit of t? 1 Let c = 100 + -98. What is the units digit of c? 2 Let m = 9 - 7. Suppose -m*w + 4 = -88. What is the tens digit of w? 4 Suppose 0 = -g - g - 2*o, 0 = 4*o - 8. Let d be g/(-1) - (1 + -3). Suppose 40 = 5*l + 5*b, -d*b = 3 - 7. What is the units digit of l? 7 Suppose -3*y + 5*j = 12, -3 = -5*j + 4*j. Let v be (-7)/(-9) + 6/27. Let k = y + v. What is the units digit of k? 2 Let a be -3 + 3*(3 - 8). What is the units digit of (a/15)/((-3)/40)? 6 Let p(j) = -3 + 2 - 1 + 2*j**2. Let a(u) = 3*u**3 - 2*u**2 + 1. Let o be a(1). What is the units digit of p(o)? 6 Suppose -l - 4*n - n - 12 = 0, 2*l + 4*n = -6. What is the units digit of l? 3 Let b(o) be the first derivative of -o**4/4 - 7*o**3/3 + 2*o**2 - 2*o - 9. What is the tens digit of b(-8)? 3 Suppose 0 = -7*z + 2*z + 15. Suppose -6*q + 4*q - 22 = -4*t, -z*t = 4*q - 11. Suppose -t*x = -34 + 14. What is the units digit of x? 4 Let w = -30 + 75. Suppose 5*z = 210 - w. What is the units digit of z? 3 Let w(r) = 2*r - 4. What is the units digit of w(4)? 4 Suppose -4*l - 4*n + 140 = -56, 144 = 3*l + 4*n. Suppose -5*z + 7*z = l. What is the units digit of z? 6 Let l(k) = k**3 + 4*k**2 + 2*k. Suppose g = 4*o + 16, 0*o - 3*o - 17 = -2*g. Let r be l(o). Suppose -r*t = 2*t - 10. What is the units digit of t? 2 Let a(p) be the second derivative of p**5/20 - p**4/6 - p**3/3 + 2*p**2 + 4*p. What is the units digit of a(3)? 7 Let n be -2*(-4)/(24/45). Suppose 0*s + 5*s - n = 0. Suppose s*r - 21 = -0. What is the units digit of r? 7 Suppose m - 110 = -0*m. Suppose 6*c - c - m = 0. Suppose c = h + h. What is the units digit of h? 1 Let m(x) = x**3 - 4*x**2 + 2*x. Let g be m(5). Let t = 64 + -41. Let p = g - t. What is the tens digit of p? 1 Suppose 0 = 3*l - 3*h - 3, 0 = 4*l + h + h - 22. What is the units digit of l? 4 Suppose -4*w = -5*n - 2*w + 157, -n + 13 = -5*w. What is the tens digit of n? 3 Suppose -4*z - 19 = l + z, -5*l + 4*z - 37 = 0. Suppose -2*k - 27 = -63. Let j = l + k. What is the units digit of j? 9 What is the tens digit of 13*(0 - (2 + -6 + -3))? 9 Let u(a) = 16*a - 1. What is the units digit of u(1)? 5 Let h(u) = -u. Let j be h(-2). What is the units digit of j*2 - (7 - 8)? 5 Let t = -35 + 63. Suppose -4*w = -6 - 2. Suppose w*d = 6*d - t. What is the units digit of d? 7 Let g be -6 + (1 + -2 - -1). Let u = 76 + -120. What is the units digit of u/g - (-3)/(-9)? 7 Suppose 0 = -o + 3, 2*f - 36 = -2*f + 4*o. Suppose 62 = 2*s - f. What is the units digit of s? 7 Suppose 27*o - 28*o + 123 = 0. What is the units digit of o? 3 What is the tens digit of 4/((-8)/1)*-46? 2 Let y(c) = -c**2 - c + 6. Let z be y(0). Suppose 3*r - 15 = z*r. Let l = r - -18. What is the units digit of l? 3 Suppose -9 = -2*z - z. Suppose -f = z*f + 2*i - 80, f - 5*i = 42. What is the tens digit of f? 2 Let w = 17 - 10. Suppose -w = -3*u + 14. What is the units digit of (-2)/((6/u)/(-3))? 7 Suppose 0 = 5*k - r - 121, -4*r + 0*r = -3*k + 76. What is the units digit of k? 4 Suppose 3*t - 5*b - 4 - 15 = 0, -2*t = -4*b - 14. Let w be 1 - 1/t*3. Let k = 4 - w. What is the units digit of k? 4 What is the units digit of (-9 - -7)*96/(-2)? 6 Let n(i) be the second derivative of i**4/12 + 5*i**3/3 + 7*i**2/2 + i. What is the units digit of n(-11)? 8 Suppose -3*c - 2*c - 2*u = -22, -3*u - 9 = -3*c. What is the units digit of 14/c - (-2)/(-4)? 3 Suppose 0 = 16*s - 15*s - 118. What is the units digit of s? 8 Suppose -9 = -4*v + 3. Suppose 36 = 4*d - 4*z, 2*z = v*z + 4. What is the units digit of 3*(d + 3 + -6)? 6 Let k be 1/(((-9)/(-1956))/(-3)). What is the units digit of k/(-20) - (-4)/10? 3 Suppose -2*u - 77 = -5*l, 2*u + 1 + 8 = l. What is the units digit of l? 7 Let f(v) = v - 3. Let w be f(0). Let i = w + 5. Suppose -5*j - i = -7. What is the units digit of j? 1 Suppose -2 = 3*b + 1. What is the tens digit of (-1 - -25) + 0 + b? 2 Suppose -5*d = -3*f - 30, -f + 7 = 3*d + d. Suppose 0 = a + d*a + 5*p - 36, 0 = -4*a + p + 60. Suppose -3*v + 25 = -a. What is the tens digit of v? 1 Let f = -8 + 11. Let d = 0 - f. What is the units digit of d/(3/(-1)) - -2? 3 Let h(d) = 47*d**2 + 4*d - 4. What is the units digit of h(2)? 2 Let j = 292 + -188. What is the units digit of j? 4 Let p = 6 + -4. Suppose 0 = -0*s - s + d + 3, -s + 5*d = -3. Suppose -t = -4*k + 15, p*k + s - 6 = -t. What is the units digit of k? 3 Let o(a) = -4*a + 7. What is the tens digit of o(-8)? 3 Let x(s) = -s**2 + 5*s + 1. Let k be x(5). What is the units digit of ((-15)/k)/(3/(-2))? 0 Let g = 3 - -3. What is the units digit of g? 6 Let x = -9 + 13. Suppose 0 = -x*r + 22 + 14. What is the units digit of r? 9 Let n = 0 - 4. Let s = -2 + 1. Let d = s - n. What is the units digit of d? 3 Let k = 67 + 2. What is the units digit of k? 9 Let o = -119 + 57. Let c = -36 - o. What is the tens digit of c? 2 Suppose 0 = n - 6*n. Suppose n = -4*r - 7 + 135. What is the units digit of r? 2 Let t = 41 - 12. Suppose -5*o + t = -41. What is the units digit of o? 4 Let u(i) = -i**3 + 2*i**2 + 7*i + 4. Let s be u(4). Suppose s = b + 3*b - 8. What is the units digit of b? 2 Suppose 2*r + 24 = r. Let u be ((-30)/8)/((-9)/r). Let j = 19 + u. What is the units digit of j? 9 Let q = -13 - -6. Let l(v) = v**2 + v + 9. Let h(a) = -a**2 - 2*a - 10. Let d(t) = q*l(t) - 6*h(t). What is the units digit of d(4)? 1 Let q(a) = 17*a**2 - a + 1. What is the tens digit of q(2)? 6 Suppose 2*k - k = 38. What is the units digit of k? 8 Suppose 0*k + k = 15. Let s = k + -9. Suppose 0 = -l + s*l - 90. What is the units digit of l? 8 Suppose -4*d - 3*z + 35 = -0*z, 0 = -4*d + 4*z. Suppose -7 = -3*a + d*i, 0 = 2*a - 2*i - 3 + 5. Let t(n) = -2*n - 4. What is the units digit of t(a)? 8 Let w = -3 - -4. Suppose -2*k - 31 - w = 0. What is the units digit of (18/(-4))/(12/k)? 6 Suppose 4*z - 5*b + 0*b = 329, 407 = 5*z - 2*b. What is the units digit of z? 1 Let q = 10 - 6. Suppose 3*s + 0*n - n - 50 = 0, 2*n = -q. What is the tens digit of s? 1 Suppose 0 = -3*h + 26 - 11. Suppose h*v = 113 - 23. What is the units digit of v? 8 Let s be 32/10 + (-5)/25. Let w = 31 + -13. Suppose -3*k + i + 23 = 3*i, s*k = 3*i + w. What is the units digit of k? 7 Suppose 3*r - 2 + 14 = 0. Let d(y) = 0*y**2 + 6*y + 4 - 6*y**3 + 5*y**3 - 2*y**2. What is the tens digit of d(r)? 1 Let s(l) = -l**3 - 4*l**2 + l + 2. Let f be s(-2). Let r = 8 - f. What is the units digit of r? 6 Let r(t) = 2*t**2 + 3*t + 3. Let j be r(-2). Suppose -5*l + y + 77 = 4*y, -y + 79 = j*l. What is the tens digit of l? 1 Let r be (-11)/3 - (-2)/3. Let h = -1 - r. Let o = h - -3. What is the units digit of o? 5 Let i(g) = g**3 - 2*g - 2. Let s(b) = b - 1. Let d be s(4). Let y be i(d). Let t = y - 5. What is the tens digit of t? 1 Let
{ "pile_set_name": "DM Mathematics" }
d by (-24)/(-15) - v/10. 1 Let l = 36 + -28. Calculate the remainder when l is divided by 3. 2 Suppose 5*i = -w - 2*w + 6, 0 = i + w. Suppose 20 = -h - i*h, 5*h + 16 = -a. Calculate the remainder when 24 is divided by a. 6 Let l(r) be the second derivative of -r**5/20 - 5*r**4/6 - 11*r**3/6 - 3*r**2 + 2*r. What is the remainder when 45 is divided by l(-9)? 9 Suppose 0 = 2*z - 112 - 46. What is the remainder when z is divided by 9? 7 Let y = -58 - -135. Calculate the remainder when y is divided by 16. 13 Suppose 3*z + 48 = 6*z. Let s(f) = 7*f**2 + 4*f + f**3 + 2 - 6*f + f. Calculate the remainder when z is divided by s(-7). 7 Let r = -5 + 4. Calculate the remainder when r - (18/(-3) - 3) is divided by (0 - (-2)/(-6))*-15. 3 Let p = 79 + -57. Let i = -56 - -141. Calculate the remainder when i is divided by p. 19 Suppose 1 - 43 = -3*n. Suppose -4*o + 3*z - 33 = 6, 0 = o - 5*z + n. Let x = 19 + o. What is the remainder when x is divided by 6? 4 Suppose -2*q + 4*k - 6 = -70, q - k - 29 = 0. What is the remainder when 100 is divided by q? 22 Let g(q) = -q**2 - 10*q - 6. Let x be g(-7). Suppose b + 2*j - 25 = j, 4*j = b - x. What is the remainder when b is divided by 8? 7 Let i(t) = t**3 + 7*t**2 + 10*t + 33. What is the remainder when 41 is divided by i(-6)? 5 Let a(r) = -3*r - 3. Let z be a(-2). Suppose -13 = -z*s + 2. What is the remainder when s is divided by (-1)/(-6) + (-11)/(-6)? 1 Suppose 2*y - 5*u + 33 - 12 = 0, -2*y - 19 = -3*u. Let t = 17 + y. Calculate the remainder when 26 is divided by t. 8 Let y(a) = -2*a + 28. Calculate the remainder when y(-12) is divided by 18. 16 Let t(r) = -r - 7. Let s be t(-8). Let j(c) = 13*c**3 - c. Calculate the remainder when 34 is divided by j(s). 10 Let h be (54/(-8))/(-3)*-4. Let z = 6 - 3. Calculate the remainder when 104/z + (-3)/h is divided by 12. 11 Suppose 2*m - 7*m = 0, -3*m + 45 = -5*v. Let h = v - -26. Calculate the remainder when h is divided by (-9)/((0 - -1)*-1). 8 Let a = 79 - 49. What is the remainder when a is divided by 2/3 - 92/(-6)? 14 Let t(g) = g**3 - 4*g**2 - 3*g - 2. Let a be t(5). What is the remainder when 858/24 - (-2)/a is divided by 19? 17 Let k = 11 + -4. Suppose -2*d + 32 = 4*m, 2*d - 2 = 5*m - 15. Let f = 7 + d. What is the remainder when f is divided by k? 6 Suppose 0 = -5*z - k + 38, -4*k + 28 = 3*z - 5. Calculate the remainder when 17 is divided by z. 3 Suppose 83 + 21 = 2*w. What is the remainder when w is divided by 18? 16 Let i be (4/(-10))/(4/(-20)). Let m be i/1 + 2*-3. Calculate the remainder when (-178)/(-8) - (-1)/m is divided by 12. 10 Suppose 3*l = 3*d - 330, 574 = 5*d - l + 12. Suppose 4*p + 1 = d. What is the remainder when (2/(-7))/((-4)/p) is divided by 1? 0 Let o(i) = i**3 - 8*i**2 - 4*i - 1. Suppose -3*s + 7 = -17. Let t be o(s). What is the remainder when 2/(-6)*(0 + t) is divided by 4? 3 Let v = -28 - -28. Suppose v = 3*j - 12 - 9. What is the remainder when 34 is divided by j? 6 Let r = -1 - -2. Let i be (r + (-33)/(-6))*10. Let u = -39 + i. Calculate the remainder when u is divided by 9. 8 Suppose 5*o = -283 - 82. Let w = o - -105. Calculate the remainder when 62 is divided by w. 30 Let p = -21 - -42. What is the remainder when p is divided by 15? 6 Let u be 93/15 - 1/5. What is the remainder when (-69)/2*(-4)/u is divided by 8? 7 Let s(g) = g**3 - 11*g**2 - 11*g - 6. Calculate the remainder when 17 is divided by s(12). 5 Suppose 5*b - 30 = -2*j, 4*j + 0*j = b + 16. What is the remainder when 4/10*(31 - 1) is divided by j? 2 Let u(f) = f**2 - 5*f + 6. Let z be u(4). Suppose 16 = -a + z*a. What is the remainder when 62 is divided by a? 14 Suppose g + 66 = 3*g + 3*u, 5*u - 170 = -5*g. Let h = g + -24. What is the remainder when 57 is divided by h? 9 Suppose -1 = r - 2*r. Let y = r - -13. What is the remainder when 26 is divided by y? 12 Suppose 4*j = 18 - 6. Suppose 0 = -j*z + 29 + 88. Calculate the remainder when z is divided by ((-9)/6)/((-6)/80). 19 Suppose -6 = 2*j - 5*j. Suppose 0*w - j*w + 338 = 0. Suppose 0*o - 3*v = 3*o - 99, 5*o = -4*v + w. Calculate the remainder when o is divided by 13. 11 Let v be ((-6)/(-2))/(4/156). Suppose v = k + 2*k. What is the remainder when k is divided by 14? 11 Let r = 38 - -31. Let a be (r/3)/(1/(-2)). Let v = a + 77. Calculate the remainder when v is divided by 11. 9 What is the remainder when (88/(-12))/(4/(-54)) is divided by 20? 19 Suppose u + 3*o = -3*u + 159, 5*u = -o + 185. Suppose -5*q = -2*q + j - u, 3*q = 4*j + 21. Calculate the remainder when 42 is divided by q. 9 Suppose -25*o = -1558 + 433. Let d(h) = 4*h. Calculate the remainder when o is divided by d(4). 13 Let z(f) = 3*f**2 - 2*f - 3. Calculate the remainder when z(-2) is divided by 7. 6 What is the remainder when 41 - 4*(-3 + 11/4) is divided by 16? 10 Suppose -2*c = -0*s + 4*s - 14, -c + 7 = 5*s. Suppose -2*v = 2*a - 8, 2*v - 2*a - 3*a = 8. Calculate the remainder when c is divided by v. 3 Suppose 28*k - 31*k = -81. What is the remainder when k is divided by 2? 1 Let y = 2 - 3. Let i = 2 + y. What is the remainder when 2 is divided by i? 0 Let i = -129 - -137. What is the remainder when 78 is divided by i? 6 Suppose 0 = 4*t - 4*m + 5 - 321, 146 = 2*t - 5*m. Suppose 6*i = -5*l + 10*i + 65, -3*l = -2*i - 41. What is the remainder when t is divided by l? 15 Let n(c) = 2*c**2 - 12*c + 18. Calculate the remainder when n(8) is divided by 18. 14 Let x = 38 - -21. Calculate the remainder when x is divided by 15. 14 Let w be 0 + -1 + (-6)/(-2). Suppose w*l + 217 = 4*s + 45, -33 = -s + 3*l. What is the remainder when s is divided by 16? 13 Let a = -105 - -133. Calculate the remainder when 55 is divided by a. 27 Let r(k) = -k - 4. Let t be r(-6). Calculate the remainder when (40/12)/(t/12) is divided by (14/(-4))/(1/(-2)). 6 Suppose -5 = -5*c + 5. Suppose 0 = -3*r + 3*l + c*l + 227, 0 = -r - 4*l + 70. Calculate the remainder when r is divided by 38. 36 Suppose 0 = 3*p - 2*z - 12 - 1, 3*z + 15 = 3*p. Suppose -4*i + i + 6 = -3*q, 3*i - 12 = 0. What is the remainder when 10 + (-1)/q*2 is divided by p? 0 Suppose l - 16 = -l. Let n(z) = -1 + 5 + 0*z**2 + z**2 - 5*z - 5. What is the remainder when n(7) is divided by l? 5 Suppose 2*h - 3 = 1. Suppose 2*y - 53 = -3. Calculate the remainder when y is divided by 12 - (h - 4/1). 11 Suppose -3*d + 2*d + 31 = 5*p, 2*d - 5*p - 32 = 0. Let a = 18 - 10. Calculate the remainder when d is divided by a. 5 Let i = 9 + 20. Let n = i - 14. What is the remainder when 58 is divided by n? 13 Suppose -7 = -0*f - f. What is the remainder when f is divided by 20/(-290) + 180/87? 1 Let t(g) = g**3 + 6*g**2 - 2*g. Suppose 11 = a - 4*n + 7*n, 3*n = 2*a - 4. Calculate the remainder when t(-6) is divided by a. 2 What is the remainder when 213 is divided by 6/30*5*43? 41 Suppose -3*i - 117 = -d - 40, -2*d = -5*i - 149. Let l = -34 + d. What is the remainder when l is divided by 10? 8 Let p(z) = 4*z**2 - 3*z**2 + 0*z + z. Let i be p(-2). Suppose 0 = 3*y - 14 + i. What is the remainder when 10 is divided by y? 2 Suppose t - 4*u - u - 8 = 0, 10 = 2*u. What is the remainder when t is divided by 17? 16 Let c = 27 + -20. Calculate the remainder when c is divided by 4. 3 Let y be (22/4)/((-5)/(-50)). Let g = y + -17. What is the remainder when g is divided by 13? 12 Let b(n) = -5*n - 15. What is the remainder when 28 is divided by b(-6)? 13 Suppose q = 2, -2*v + v + 36 = 2*q. Calculate the remainder when 125 is divided by v. 29 Let b(i) = -3*i**2 - 3*i - 3. Let d be b(-2). Let m = d - -19. Calculate the remainder when 39 is divided by m. 9 Suppose 2*d = 46 + 22. Suppose p = -2*p - 15. Let f = p - -17. Calculate the remainder when d is divided by f. 10 Let r be -2 + 19/(1 + 0). Suppose -r - 3 = -2*y. What is the remainder when 28 is divided by y? 8 Suppose -4*a + 20 = a. Calculate the remainder when 137 is divided by a/(-8) + (-71)/(-2). 32 Let j(t) = 16*t - 1. Let i(q) = q + 4. What is the remainder when j(1) is divided by i(0)? 3 Let q = 9 - 19. Let g(d) = 7*d - 6. What is the remainder when g(7) is divided by 4/q + (-154)/(-10)? 13 Suppose -3*y + 5*a = -172, -5*a + 110 = 4*y - 61. Suppose -b + k + 26 = -2*k, k = 4*b - 71. Calculate the remainder when y is divided by b. 15 Let r(j) = j**2 + 3*j - 8. Let k be r(-6). Suppose 0 = -2*q + 3*q - k.
{ "pile_set_name": "DM Mathematics" }
Let k(z) = -6*z**3 + 7*z + 7. Calculate 6*k(g) - 7*m(g). -g**3 Let r(i) = -i. Let n be -1 - -1 - 2 - -4. Let m(d) = 7*d - 1. Let q(j) = -20*j + 3. Let k(v) = 8*m(v) + 3*q(v). What is n*r(o) - k(o)? 2*o - 1 Let j(u) be the second derivative of u**5/15 - 5*u**3/6 - 5*u**2/2 - 2*u. Let g(d) be the first derivative of j(d). Let o(h) = 3*h**2 - 4. Give 4*g(m) - 5*o(m). m**2 Let l(n) = 5*n**2 + 2*n + 1. Let d = -14 - -17. Let r(k) = -k**2 - k - 1. What is d*r(i) + l(i)? 2*i**2 - i - 2 Let w(m) = 11288*m**2 - 476*m - 476. Let o(k) = -71*k**2 + 3*k + 3. Determine -476*o(t) - 3*w(t). -68*t**2 Let d(n) = n + 3. Suppose 3*i + 4*c + 6 = 0, 2*i + 21 = 5*i - 5*c. Let m(t) = 0 + 3 + i + t. Suppose -j = 2*j + 9. Give j*m(l) + 5*d(l). 2*l Let o(z) = 7*z**2 - 2*z + 5. Let m(u) be the second derivative of 5*u**4/3 - u**3 + 7*u**2 + 5*u. Give -6*m(j) + 17*o(j). -j**2 + 2*j + 1 Let i(n) = n. Let x(c) be the second derivative of -c**3/6 + c**2/2 + 14*c. Determine 4*i(j) + 2*x(j). 2*j + 2 Suppose 4*t = -0*t - 40. Let l = t + 4. Let x(o) = 8*o**3 - 8*o**2 + 6*o - 7. Let r(c) = -c**3 + c**2 - c + 1. Determine l*r(j) - x(j). -2*j**3 + 2*j**2 + 1 Let p(s) = -3*s**2 - 8. Let i(f) = -2*f**2 - 5. Let q be 0 + 0 + 2 + -4. Let g be -8 + (-2)/q - -2. Give g*p(l) + 8*i(l). -l**2 Let w(b) = -b**3 - 5*b**2. Let p(y) = -2*y**3 - 16*y**2. Calculate -5*p(z) + 16*w(z). -6*z**3 Let j(s) = -5*s**2 - 3*s. Suppose 0 = 3*t - 5*t + 2. Let r(y) be the second derivative of y**4/12 + y**3/6 + 2*y. Determine t*j(l) + 3*r(l). -2*l**2 Let m(s) = s. Let y(b) = 3*b. Let u(r) = -r**3 - r**2 + r + 4. Let z be u(0). Let x be -3*z/(-24)*2. Suppose 3*v + 4 = 1. Calculate v*m(l) + x*y(l). 2*l Let k(v) = -6*v**2 + 3. Let l(n) be the third derivative of -11*n**5/60 + 5*n**3/6 - 2*n**2 - 2*n. Give 7*k(s) - 4*l(s). 2*s**2 + 1 Let f(x) = 8*x + 6. Let c(w) = -1. What is 5*c(o) + f(o)? 8*o + 1 Let l(d) = -d - 3. Suppose -6*w + 3*w = y + 5, 4*w = -5*y - 14. Let b(k) = k. Give y*b(v) - l(v). -v + 3 Let r(v) = -11*v**2 + 2*v - 7. Let d(i) = -6*i**2 + i - 4. Let a(q) = -q + 1. Let s be a(-3). Calculate s*r(z) - 7*d(z). -2*z**2 + z Let p(n) = -9*n + 9*n - 8 - 6 + 10*n. Let z(c) = c - 1. What is -p(i) + 12*z(i)? 2*i + 2 Let v(r) = -r - 4. Let w(c) = 3*c + 9. Calculate -5*v(d) - 2*w(d). -d + 2 Let n(c) = -3*c**2 - 5*c - 7. Let f(d) = -d**2 - d - 1. Let w = -88 + 93. Determine w*f(h) - n(h). -2*h**2 + 2 Let u(o) = -2*o**3 - 5*o**2 - 5*o - 5. Let h(s) = s**3 + 3*s**2 + 3*s + 3. Determine 5*h(n) + 3*u(n). -n**3 Let n(r) = -2*r**2 - 7*r + 5. Let i(y) = -3*y**2 - 8*y + 6. Give -4*i(v) + 5*n(v). 2*v**2 - 3*v + 1 Let r(a) = 21*a**3 + 6*a**2 + 6*a + 3. Let p(c) = -20*c**3 - 5*c**2 - 5*c - 3. Determine 6*p(l) + 5*r(l). -15*l**3 - 3 Let x(s) = 5*s. Let q(m) = -5*m + 0*m + m + 3*m. What is -33*q(y) - 6*x(y)? 3*y Let f(x) = -2*x**2 + x - 4. Let n(i) = -4*i**2 + 2*i - 9. Suppose 0*z = -z + 9. What is z*f(u) - 4*n(u)? -2*u**2 + u Let c(k) = -30*k**3 - 4*k**2 + 4. Let x(g) = 330*g**3 + 45*g**2 - 45. Determine 45*c(a) + 4*x(a). -30*a**3 Let f(c) = c + 4. Suppose -i = 9 - 2. Let d(h) = 2. Determine i*d(p) + 3*f(p). 3*p - 2 Let n(q) = 2*q. Let l be n(3). Let p(b) = -l + 3 + 1 + b - 3*b. Let u(o) = o + 1. Give 2*p(x) + 5*u(x). x + 1 Let c(r) = r + 1. Let k(l) be the second derivative of -l + 3/2*l**2 + 1/2*l**3 + 1/12*l**4 + 0. Give c(o) - k(o). -o**2 - 2*o - 2 Let m(s) = 4*s**2 + 5*s - 2. Let k(f) = 7*f**2 + 10*f - 5. Let j(n) = -2*k(n) + 5*m(n). Let l(a) = 5*a**2 + 4*a. Calculate 3*j(t) - 4*l(t). -2*t**2 - t Suppose d + 2*t - 10 = -2*d, 4*t + 22 = d. Let r(a) = 5. Let j(q) = -1. Let m(o) = -9*j(o) - 2*r(o). Let k(z) = -1 + z**2 + z - 4 - 3*z. What is d*m(n) - k(n)? -n**2 + 2*n - 1 Let v(x) = x**2 + x - 1. Let u(m) = m**2 + 3*m - 1. Let p(o) = -o**2 - 7*o + 1. Let a(n) = 2*p(n) + 5*u(n). What is a(g) - v(g)? 2*g**2 - 2 Let d(s) = 2*s**2 + 5*s + 2. Let h(u) = -u. What is d(q) + h(q)? 2*q**2 + 4*q + 2 Let v(i) = -i + 19. Let a(b) = -b + 1. What is -3*a(w) + v(w)? 2*w + 16 Let r(a) = -7*a**2 - 5*a + 4. Let z(j) = -10*j**2 - 4*j + 3. Let n(h) = h**2 - h + 1. Let l(d) = -2*n(d) - z(d). Determine 5*l(p) + 6*r(p). -2*p**2 - 1 Suppose 5*w + 9 + 6 = 0. Let o(g) be the third derivative of -g**5/12 + g**4/3 + g**3/3 + 3*g**2. Let z(v) = 2*v**2 - 3*v - 1. Calculate w*o(c) - 8*z(c). -c**2 + 2 Let z(h) = -8*h**3 + 5*h + 5. Suppose 4*i - 17 = u - 2, 0 = 2*u - 4*i + 10. Let m(t) = 33*t**3 - 21*t - 21. Calculate u*m(g) + 21*z(g). -3*g**3 Let m(d) = 4*d + d - d - 3*d. Let o(c) = c**3 - 10*c**2 + 8*c + 6. Let j be o(9). Let y(n) = n**2 + 3*n + 1. Calculate j*m(k) + y(k). k**2 + 1 Let u(f) be the first derivative of -f**4/4 + 5*f**3/3 + 6. Let x(l) = -2*l**3 + 8*l**2. Give 8*u(j) - 5*x(j). 2*j**3 Let b(l) = -5*l**2 - 1. Let s(w) = -4*w**2 - 5. Let j(i) = 1. Let u(k) = -4*j(k) - s(k). Let p = 5 + -12. Let t = p - -10. Determine t*b(y) + 4*u(y). y**2 + 1 Let f(q) = -19*q**3 - 13*q**2. Let l(c) be the second derivative of -9*c**5/20 - c**4/2 - 9*c. Calculate 6*f(u) - 13*l(u). 3*u**3 Let a(v) = v**2 + 5*v - 6. Let z be a(-6). Let p(b) = b**2 - 8*b + z*b**2 - 3*b + 10*b. Let o(r) = 6*r**2 - 5*r. Suppose -1 = 2*s - 9. Give s*p(f) - o(f). -2*f**2 + f Let x(j) be the third derivative of j**6/30 - j**5/20 - j**3/2 - 40*j**2. Let f(z) = -9*z**3 + 7*z**2 + 7. Determine 3*f(g) + 7*x(g). g**3 Let n(h) = h**2. Let p(w) = w**3 + 7*w**2 + 3. Calculate 3*n(g) - p(g). -g**3 - 4*g**2 - 3 Suppose d - 5*d - 12 = 0. Let n(j) = 2*j**2 - j + 3. Let a(h) be the third derivative of -h**3/6 - 4*h**2. Determine d*a(v) - n(v). -2*v**2 + v Let a(o) = -2*o + 5. Let h be a(5). Let p(g) be the first derivative of -g**2 + 3*g - 9. Let r be -1*(2 + -1)/(-1). Let l(j) = 1. Calculate h*l(s) + r*p(s). -2*s - 2 Suppose 2 = 3*q + 14. Let m(t) = 11*t**3 + 6*t + 7. Let f(c) = -6*c**3 - 3*c - 4. Determine q*m(x) - 7*f(x). -2*x**3 - 3*x Let c(t) = 5*t**2 - 2*t - 2. Let l(w) = -4*w**2 + 3*w + 3. Calculate 3*c(z) + 2*l(z). 7*z**2 Let w(v) be the first derivative of -2 + 1/3*v**3 + v**2 + 0*v. Let a(b) = b**2 + 2*b**2 - 4*b**2 + 2*b**2 + 3*b. What is 3*a(g) - 4*w(g)? -g**2 + g Let v(s) be the first derivative of -7*s**2/2 - 13*s - 6. Let i(d) be the second derivative of -d**3/2 - 3*d**2 - d. Determine -9*i(z) + 4*v(z). -z + 2 Let k be (0 - 1 - 0) + 7. Let m = -23 + 30. Let h(w) = 8*w + 2. Let x(z) = -9*z - 2. Calculate k*x(d) + m*h(d). 2*d + 2 Let s(b) = -b**2 + 10*b**2 - 2*b**2. Let h = 16 + -10. Let k = h - 7. Let u(t) = t**2. Calculate k*s(i) + 6*u(i). -i**2 Let u(v) = 3*v + 2. Let s(n) = 2*n + 2. Let o be 2*3*6/(-9). Let l = 16 + -11. Give l*s(j) + o*u(j). -2*j + 2 Let w(c) = 2*c**2 - c - 2. Let o(g) = -2*g**2 + g + 3. Suppose 5*d + 16 = 9*d. Let k = -7 + d. Give k*w(b) - 2*o(b). -2*b**2 + b Let r(h) = -5*h**2 + 21*h + 21. Let s(d) = d**2 - 4*d - 4. Suppose 2 = 5*p - 13. Suppose 0 = 3*n + p*q + 9, 2*n - 3*q = -0*q + 19. Determine n*r(g) + 11*s(g). g**2 - 2*g - 2 Let a(c) = -c**2 + 8*c - 2. Let v(d) = -d**2 + 9*d - 3. Let w(k) = 6*a(k) - 5*v(k). Let p(l) = -2*l**2 + 7*l + 7. Calculate -2*p(g) + 5*w(g). -g**2 + g + 1 Let k(y) = -y**3 - y**2 - 1. Let b(g) = 8*g**3 + 6*g**2 - 2*g + 3. What is b(p) + 5*k(p)? 3*p**3 + p**2 - 2*p - 2 Let y(g) be the third derivative of -1/3*g**3 + 1/20*g**5 + 0 + 0*g + 1/4*g**4 + 6*g**2. Let q(z) = -5*z**2 - 11*z + 4. What is -4*q(w) - 7*y(w)? -w**2 + 2*w - 2 Let s(v) = -1. Let z(d) = d - 3. Let m(x) = x**2 - 5*x - 15. Let f be m(7). Let o be (1 - -9)*f + 3. Calculate o*s(k) + 2*z(k). 2*k + 1 Let d(n) = 21*n + 14. Let f(r) = r + 1. What is d(l) - 14*f(l)? 7*l Let f(a) = -12*a - 15. Let h(v) = -11*v - 14. Give -5*f(k) + 6*h(k). -6*k - 9 Let f(b) = -3*b - 12. Let k(j) = -1. Let t = -9 + 3. Let m(w) = -1. Let s(q) = t*k(q) + 5*m(q). Determine f(n) + 12*s(n). -3*n Let t(n) = -n**2 - n. Let c(y) = -y**3 - 8*y**2 - 9*y - 13. Let w be c(-7). Let x(j) = 2*j**3 - 5*j**2 - 3*j. Calculate w*x(z) - 5*t(z). 2*z**3 + 2*z Let o(r) = 7*r**3 - r**2 + 5*r - 6. Let n(t) = 6*t**3 - t**2 + 4*t - 5. Let w(u) = -5*n(u) + 4*o(u). Let d(p) = 1. Give -d(q) + w(q). -2*q**3 + q**2 Let v(s) = -7. Let t(w) = w - 8. Calculate -5*t(q) + 6*v(q). -5*q - 2 Let z = 6 + -6. Let g(b) = -5 + 4 - 5*b**2 + z. Let k be g(-1). Let l(f) = 4*f - 1. Let r(p) = 23*p - 6. Calculate k*r(m) + 34*l(m). -2*m + 2 L
{ "pile_set_name": "DM Mathematics" }
+ 0 + 0*o + 3*o**2. Differentiate g(l) with respect to l. -6*l**2 Let n = 4/15 + -1/60. Let k(b) be the second derivative of 0 + 0*b**2 - 3/10*b**5 - 6*b - n*b**4 + 0*b**3. What is the third derivative of k(p) wrt p? -36 Let l(t) be the first derivative of -14*t**5/5 + 3*t**4/4 + 19*t**3/3 - t**2 + 49. What is the third derivative of l(a) wrt a? -336*a + 18 Let m(a) be the second derivative of 35*a**3/6 - 16*a**2 + 16*a. Let c(z) = 71*z - 63. Let b(g) = 2*c(g) - 5*m(g). What is the derivative of b(x) wrt x? -33 Let u(z) be the third derivative of -37*z**6/120 + z**5/15 - z**4/12 + 34*z**3/3 - 3*z**2 - z. Find the second derivative of u(o) wrt o. -222*o + 8 Let t(n) = 63*n**2 + 27*n - 5. Let c(i) = 32*i**2 + 12*i - 2. Let p(q) = -10*c(q) + 4*t(q). Find the second derivative of p(j) wrt j. -136 Let k(f) = -62*f**3 - 9*f + 51. Let p(c) = -4*c - 20*c**3 - 15*c**3 + 4*c**3 + 26. Let x(n) = -4*k(n) + 9*p(n). What is the derivative of x(m) wrt m? -93*m**2 What is the second derivative of -3*j**2 - 20*j + 14*j**2 - 12*j**2 - 2 + 7*j**3 wrt j? 42*j - 2 Let a(o) be the second derivative of -493*o**5/20 - 29*o**4/4 - o**3/3 - 30*o. What is the third derivative of a(s) wrt s? -2958 Let d(o) be the third derivative of o**8/14 + o**5/12 + 251*o**4/24 + o**3/6 - 892*o**2. Find the second derivative of d(n) wrt n. 480*n**3 + 10 Let s(p) = 481*p**2 - 283*p. Let f(d) = -967*d**2 + 567*d. Let a(c) = -4*f(c) - 7*s(c). What is the second derivative of a(t) wrt t? 1002 Let y = 5 + -3. Suppose m - 1 = 2*v, -5*v + 33 = -v + 5*m. Find the second derivative of y*p + 10*p**v - p - 15*p**2 wrt p. -10 Let y be (-14)/((4*-2)/4). Let s(q) be the first derivative of 4*q**y - 6 - 5*q**7 - q**3 + q**3 - q**3. Find the third derivative of s(o) wrt o. -840*o**3 Let v(i) be the first derivative of -2*i**3 - 17*i - 8*i + 8 - 48 - 17*i. Find the first derivative of v(j) wrt j. -12*j Let o(n) be the second derivative of -n**7/210 - n**4 - 11*n**3/3 + 19*n. Let z(p) be the second derivative of o(p). What is the first derivative of z(w) wrt w? -12*w**2 Let j(y) = -91*y**3 + 18*y**2 + 3*y - 222. Let s(n) = n**3 - 3*n**2. Let i(u) = -j(u) - 6*s(u). What is the first derivative of i(d) wrt d? 255*d**2 - 3 What is the third derivative of -3*p**2 + 80*p**6 - 7*p**2 + 37*p**2 + 9*p**2 wrt p? 9600*p**3 Let n(c) = -283*c**2 - 19*c - 2. Let m(o) = 2*o**2 - o + 2. Let g(v) = -m(v) - n(v). What is the second derivative of g(l) wrt l? 562 Differentiate -105*k**3 - 173 - 83 + 198*k**3 wrt k. 279*k**2 Let l(r) = 749*r**2 - 3*r + 2. Let z be l(1). What is the third derivative of z*h**4 + 5*h**2 - 25*h**6 - 748*h**4 wrt h? -3000*h**3 Suppose -2*g = 3*g. Suppose 26 + 14 = 8*a. What is the second derivative of -w + g*w - a*w - 12*w**2 - 4*w wrt w? -24 Find the third derivative of 0*a**3 + a**3 - 11*a**4 - 72*a**2 + a**4 + 2*a**3 - 9*a**4 wrt a. -456*a + 18 Let v(x) be the first derivative of -17*x**6/3 - 95*x**2 + 145. Find the second derivative of v(s) wrt s. -680*s**3 Let h(f) = -116*f + 86. Let z(g) = 39*g - 29. Let n be (-6)/15*(6 - 1). Let s(j) = n*h(j) - 7*z(j). Find the first derivative of s(q) wrt q. -41 Suppose 0 = -4*n - 12, 6*c - 15 = 4*c + 3*n. Suppose -3*i + c = -2*i. Differentiate -8*h**3 - 9 + 8*h**i - 4*h**3 with respect to h. -12*h**2 Let c(o) be the third derivative of -7*o**6/10 - o**5/6 + o**3/3 + 4*o**2 + o. Find the third derivative of c(g) wrt g. -504 Let b(q) = 2*q**4 + 8*q**3 + 109*q**2 - 2. Let o(a) = 17*a**3 + 217*a**2 - 5. Let h(u) = 5*b(u) - 2*o(u). Find the third derivative of h(d) wrt d. 240*d + 36 Let o(y) be the second derivative of y**7/21 - 4*y**5/15 + y**2 - y. Let f(b) be the first derivative of o(b). Find the third derivative of f(u) wrt u. 240*u Find the third derivative of -271*l + 3*l**3 + 23*l**2 + 137*l + 134*l + 18*l**5 wrt l. 1080*l**2 + 18 Let d(c) = c**4 + c**2 + 2*c - 1. Let y(o) = -218*o**4 + 3*o**2 + 6*o + 176. Let m(r) = -3*d(r) + y(r). What is the first derivative of m(p) wrt p? -884*p**3 What is the third derivative of 18*u**2 + 0*u - u - 3*u + 10 + 41*u**5 - 10 + u**6 wrt u? 120*u**3 + 2460*u**2 Let m(x) be the third derivative of -x**6/40 - x**5/30 + 8*x**3 + 61*x**2 + 3. Differentiate m(v) with respect to v. -9*v**2 - 4*v Let j(b) be the third derivative of -13*b**2 + 0*b + 0 + 0*b**7 + 1/24*b**8 + 0*b**6 + 0*b**5 - 1/6*b**4 + 0*b**3. Find the second derivative of j(y) wrt y. 280*y**3 Let s(z) = z**2 - 5*z - 4. Let u be s(6). What is the second derivative of 7*d**3 + 3*d**3 - d - 13*d - u*d wrt d? 60*d Let l(k) be the second derivative of -k**4/6 + 31*k**3/6 + 93*k**2/2 + 24*k. What is the first derivative of l(g) wrt g? -4*g + 31 Let t(i) be the first derivative of 22*i - 5/2*i**2 + 14. What is the derivative of t(l) wrt l? -5 What is the third derivative of 2*h**4 - 37*h**4 + 29*h**2 - 104*h**4 - 6*h**4 wrt h? -3480*h What is the first derivative of 72 + 20 + 2*r + 282 - 111*r - 7*r wrt r? -116 Let s be (579 + -2 + 2)*(-11)/(-33). Find the second derivative of 194*f**3 - 8*f + s*f**3 - 363*f**3 wrt f. 144*f Let y = 17 - 8. What is the derivative of k + 3*k + k - y wrt k? 5 Let b(m) be the first derivative of m**4/4 + 79*m**2/2 + 630*m - 144. Find the first derivative of b(a) wrt a. 3*a**2 + 79 Let c = 98 - 95. Differentiate 5 - 5 - 3 - 5 + 39*r**c wrt r. 117*r**2 Let y = 55 - 77. Let u = 25 + y. What is the first derivative of -u*m - 5 + 1 - 10*m wrt m? -13 Let l(r) = -r**2 - 10*r + 13. Suppose -27 = 4*x + 17. Let i be l(x). What is the first derivative of -i*q + 2 - q - 2*q - q wrt q? -6 Let w = -155/9 + 337/18. Let o(r) be the first derivative of 0*r**2 - 3*r**3 + 0*r + w*r**4 - 2. What is the third derivative of o(k) wrt k? 36 Let a(x) be the first derivative of -x**8/336 - x**6/45 - 13*x**3/3 + 9. Let j(r) be the third derivative of a(r). Find the third derivative of j(n) wrt n. -120*n Let y(x) = -81*x - 41. Let h(n) = -79*n - 42. Let r(d) = 5*h(d) - 4*y(d). Differentiate r(a) wrt a. -71 Let j(f) = f**3 + 2*f**2 - f. Let h(g) = g**4 + 231*g**3 - 5*g**2 + 2*g + 25. Let y(n) = h(n) + 2*j(n). Find the third derivative of y(s) wrt s. 24*s + 1398 Let g be 2 - (3 - 3/3). Let v(a) = g + 2 - 1 + 3. Let q(o) = -o - 4. Let c(m) = -5*q(m) - 6*v(m). Find the first derivative of c(i) wrt i. 5 What is the second derivative of 169 - 170*w - 23*w + 96*w**3 - 169 wrt w? 576*w Let k(s) be the first derivative of -2*s**5/5 - s**2 + 78*s - 33. What is the first derivative of k(v) wrt v? -8*v**3 - 2 Let r = -23 - -32. What is the third derivative of -r*o**2 - o**6 + 11*o**6 + 2*o**2 wrt o? 1200*o**3 Let m(r) be the first derivative of 2*r**4 - 7*r**3/3 - 8. Let u(x) = -x**3 + x**2. Let w(v) = m(v) + 3*u(v). What is the third derivative of w(l) wrt l? 30 Suppose 0 = 2*z + 3*n - 16, -7 - 5 = -4*z - n. What is the second derivative of 22*t**5 - 15*t - 5*t**5 - z*t**5 wrt t? 300*t**3 Suppose -f - 3 = -7. Differentiate 0*a**4 - 9*a**f + 0*a**4 + 45 + 4*a**4 wrt a. -20*a**3 Let t(i) = 4*i + 29. Let l be t(-12). Let z = 22 + l. What is the third derivative of -a**2 + 2*a**5 + 7*a**3 - z*a**2 - 7*a**3 wrt a? 120*a**2 Let s(z) = 8*z - 11. Let k(j) be the second derivative of -25*j**3/6 + 16*j**2 + j. Let h(g) = -3*k(g) - 8*s(g). Differentiate h(v) with respect to v. 11 Let n be 30/(-20) + 14/4. What is the derivative of -30*t**2 - 13*t**4 + 9 + 30*t**n wrt t? -52*t**3 Let k(t) be the third derivative of 0*t**7 + 0*t**6 + 1/168*t**8 + 0*t - 2/15*t**5 + 0*t**3 + 0 + 0*t**4 + 12*t**2. Find the third derivative of k(h) wrt h. 120*h**2 Let v be 16/3*(-44)/16*-3. Find the second derivative of 40*x - v*x + 3*x**2 + 0*x**2 wrt x. 6 Let i be (1/(-3))/(2/(-36)). What is the first derivative of -8*v**2 - 4 + 0 - 3*v**2 + i*v**2 wrt v? -10*v Suppose -q + 2*m = -9, 5*m + 22 = 2*q - 0*q. Suppose -6*a + 19 - q = 0. What is the second derivative of -y - 9*y**a + 8*y**3 + 0*y wrt y? -6*y Let r be 4 + 1 + (-2)/1. Find the second derivative of r*k - 11 + 6*k + 11 - 6*k**5 wrt k. -120*k**3 Differentiate 102*c + 304*c - 948*c - 78 with respect to c. -542 Suppose 3*x - 3*j - 3 = 0, -4*j - 17 = -5*x - 3*j. Let o = 5 + -2. What is the derivative of o - 5*y**4 - 4*y**4 + x*y**4 wrt y? -20*y**3 What is the second derivative of -116*q - 2 + 12*q - 239*q + 444*q**2 - q wrt q? 888 Suppose 3*v
{ "pile_set_name": "DM Mathematics" }
1077*t + 424 = 1130*t for t. 8 Solve -42*f - 3680 + 752 = 141*f for f. -16 Solve 469*m - 2880 = 289*m for m. 16 Solve 22*v = 147 + 58 - 447 for v. -11 Solve -102 - 634 = -46*y for y. 16 Solve -43*i - 60*i + 32*i = 284 for i. -4 Solve -330*b + 454 + 192 = -349*b for b. -34 Solve 329 + 489 = -232*d - 177*d for d. -2 Solve 22*c + 68 + 44 = 8*c for c. -8 Solve -48*k - 16*k + 674 = 98 for k. 9 Solve 32 - 9 = -40*f - 217 for f. -6 Solve -601 = -21*a - 588 + 680 for a. 33 Solve 2963*p - 2994*p - 496 = 0 for p. -16 Solve 82*x + 170 = 78*x - 166*x for x. -1 Solve -3263*v + 3258*v + 55 = 0 for v. 11 Solve 76*o = -490 - 118 for o. -8 Solve 91 + 154 = -92*z - 31 for z. -3 Solve -245*z - 79 - 96 = -70*z for z. -1 Solve -288 = -343*r + 335*r for r. 36 Solve -23694*w = -23659*w + 140 for w. -4 Solve -361*w + 336*w - 400 = 0 for w. -16 Solve -25700 = -611*p - 417*p for p. 25 Solve 24*c - 2 = 43*c - 59 for c. 3 Solve -105*n - 37*n = -13*n + 129 for n. -1 Solve 383*y + 5766 = 154*y + 43*y for y. -31 Solve 1702*x = 1724*x + 330 for x. -15 Solve 0 = -165*l + 337*l - 242*l - 350 for l. -5 Solve 266*t - 896 = 168 for t. 4 Solve 1431 - 781 = -182*h - 2626 for h. -18 Solve -2061 + 3195 = -54*c for c. -21 Solve 0 = 93*l - 26*l + 121*l + 1128 for l. -6 Solve 68*c + 849 = 169 for c. -10 Solve u = -7*u + 3*u + 40 for u. 8 Solve -176*g - 1275 - 501 = 336 for g. -12 Solve 25*b = -164*b + 756 for b. 4 Solve 444 + 17511 = 945*l for l. 19 Solve 0 = -142*o - 192 - 1370 for o. -11 Solve -105*q + 3038 = 59*q + 1070 for q. 12 Solve -121 = -4419*u + 4430*u for u. -11 Solve 64*j + 32382 = 32830 for j. 7 Solve 884*r - 1358 = 787*r for r. 14 Solve 16717 = 615*s + 1342 for s. 25 Solve 2*h - 157*h = -51*h + 3016 for h. -29 Solve -117*o + 1710 = -459*o for o. -5 Solve 0 = -663*u + 737*u + 962 for u. -13 Solve 578*s - 580*s - 2 = 0 for s. -1 Solve -40*w + 168*w - 1482 = -119*w for w. 6 Solve 1136 = 228*l - 86*l for l. 8 Solve 12*j + 256 + 103 = -49 for j. -34 Solve -48*u = -758 - 634 for u. 29 Solve -86*z - 17*z = 3 - 209 for z. 2 Solve -42*k = -45*k - 30 + 9 for k. -7 Solve 331*v = -220*v - 236*v + 6296 for v. 8 Solve 84*j = -44*j + 512 for j. 4 Solve -1882 = -28*k + 1746 - 3768 for k. -5 Solve 39*i - 59*i + 126 = -38*i for i. -7 Solve -394 = 25*i + 131 for i. -21 Solve -1471 = -83*z + 823 - 468 for z. 22 Solve -4340*g + 4296*g = 88 for g. -2 Solve 69*g - 8800 = -9490 for g. -10 Solve -119*o - 1385 = 163*o - 5*o for o. -5 Solve -58*t = -384*t - 11084 for t. -34 Solve -159*g + 2540 = 177*g - 82*g for g. 10 Solve -1271 = -6*p - 27*p - 314 for p. 29 Solve 40*y = -641 + 721 for y. 2 Solve 126 = -64*o + 82*o for o. 7 Solve -37*w - 186 = 776 for w. -26 Solve -3036 = 7*a - 3043 for a. 1 Solve 28 = 17*z + 79 for z. -3 Solve 980*r + 301 = 1023*r for r. 7 Solve 628 + 1678 = -140*h - 1194 for h. -25 Solve -6*z + 117*z = -777 for z. -7 Solve 0 = 3*o + 29*o - 736 for o. 23 Solve 30*t = 165*t + 260*t + 5530 for t. -14 Solve 137 - 252 = -95*j + 170 for j. 3 Solve -741 = -115*o - 132*o for o. 3 Solve -8*k + 77*k + 234 = 30*k for k. -6 Solve 0 = -17*u + 14*u - 112*u - 3105 for u. -27 Solve 0 = -69*h + 194*h - 1584 + 4709 for h. -25 Solve 62 = 17*h - 91 for h. 9 Solve 0 = 5*o - 24071 + 24096 for o. -5 Solve -96 + 136 = -5*f for f. -8 Solve -1302 + 226 = 221*u + 2460 for u. -16 Solve 314*f = -67*f - 2286 for f. -6 Solve -5825*s - 112 = -5832*s for s. 16 Solve 100*d - 64*d = -252 for d. -7 Solve -20171 = 18*j - 19685 for j. -27 Solve 24 + 25 = -15*u - 41 for u. -6 Solve 27169*v = 27133*v for v. 0 Solve 609*x - 288 = 577*x for x. 9 Solve -739*s = 19357 - 2360 for s. -23 Solve -4217 + 1499 = -754*n + 603*n for n. 18 Solve 4*q + 194 = 150 for q. -11 Solve b + 4 + 3 = 3 for b. -4 Solve -5*u + 5789 - 5714 = 0 for u. 15 Solve 0 = 20*b - 1646245 + 1646325 for b. -4 Solve 218 + 193 - 120 = -97*r for r. -3 Solve -165*r = 197*r + 6154 for r. -17 Solve 95*h = 113*h + 67*h - 2380 for h. 28 Solve 38747 = 57*f + 40001 for f. -22 Solve 9*h + 80*h = 9*h - 1760 for h. -22 Solve -19116 = 248*i + 814*i for i. -18 Solve -37*i - 8345 = -7346 for i. -27 Solve -120*t + 313*t = 1351 for t. 7 Solve 22*v + 7 - 27 = 2*v for v. 1 Solve -6598 + 16765 = 1202*z - 13873 for z. 20 Solve 270 = 10*h + 110 - 50 for h. 21 Solve -31002 + 30330 = 112*j for j. -6 Solve -1966*g + 28710 = -661*g for g. 22 Solve -4882*b + 4879*b = 60 for b. -20 Solve 90*p + 359*p + 806 = -92 for p. -2 Solve w = -1767 + 1787 for w. 20 Solve 22*m + 34 = -36*m - 1416 for m. -25 Solve 6*l + 2*l = -31*l - 78 for l. -2 Solve 30*s + 223 = 59 - 136 for s. -10 Solve -780 = 124*u - 64*u for u. -13 Solve -46*g = 9*g + 33*g + 528 for g. -6 Solve 534*r - 4424 - 5978 = 1346 for r. 22 Solve -16*f + 19*f - 209 = 22*f for f. -11 Solve -2318*t + 321*t + 41937 = 0 for t. 21 Solve 0 = -68*r + 397 + 636 - 285 for r. 11 Solve -3 = -13*p - 365 + 24 for p. -26 Solve -89*t + 162*t = 82*t - 108 for t. 12 Solve 106*r + 44*r + 1800 = 0 for r. -12 Solve -152*j - 293*j - 9852 = 1273 for j. -25 Solve 4*s + 10859 - 10799 = 0 for s. -15 Solve -154*g + 858 = -76*g for g. 11 Solve -10*w + 4*w = -6 + 12 for w. -1 Solve 353*o - 264 - 795 = 0 for o. 3 Solve -13746 = -429*p - 336*p - 4566 for p. 12 Solve -705541*w = -705542*w + 19 for w. 19 Solve -12*y + 13*y + 41*y = -504 for y. -12 Solve -31199*l + 31265*l = 1518 for l. 23 Solve -833*v = 866 + 10796 for v. -14 Solve 4*g + 5*g + 20 = 119 for g. 11 Solve -190*u - 24 = 2780 - 144 for u. -14 Solve -5838 = 323*o - 39*o + 133*o for o. -14 Solve -30*y - 6593 = -6203 for y. -13 Solve 13*p + 9622 = 9635 for p. 1 Solve 3*m - 72482 + 72500 = 0 for m. -6 Solve 830*p - 407*p - 1125 = 498*p for p. -15 Solve 174 = -521*c + 550*c for c. 6 Solve -91*h - 577 - 385 = -17*h for h. -13 Solve -258*c = -179*c - 869 for c. 11 Solve 0 = -52*g + 137 - 467 - 242 for g. -11 Solve 430 + 106 + 297 = 49*n for n. 17 Solve -4715*d - 98 = -4764*d for d. 2 Solve -681*o - 150 = -336*o - 295*o for o. -3 Solve -87*n + 59 - 842 = 0 for n. -9 Solve -599*p = -650*p for p. 0 Solve 0 = -91*r - 50*r + 234*r - 2139 for r. 23 Solve 44*y = 18*y + 254*y - 2964 for y. 13 Solve 49*f + 227*f - 3672 = -948*f for f. 3 Solve 1359*f - 1357*f + 10 = 0 for f. -5 Solve -88*n = -395 + 835 for n. -5 Solve -220*j = -252*j - 256 for j. -8 Solve -131*s - 130 + 92 - 355 = 0 for s. -3 Solve 43*a - 10*a + 11*a = 616 for a. 14 Solve -11*w - 6 - 167 = -30 for w. -13 Solve 29*k = 25 - 634 for k. -21 Solve 1166 - 270 = 6*q + 50*q for q. 16 Solve 251 - 237 = 14*d for d. 1 Solve -9*q - 404 = -62*q - 48*q for q. 4 Solve -12*x - 53*x - 27*x + 1380 = 0 for x. 15 Solve -159*i + 5500 = -150*i + 241*i for i. 22 Solve -12 + 18 = 2*r - 8*r for r. -1 Solve -31308 - 6451 = 1402*r - 2709 for r. -25 Solve -288*b + 18*b - 4050 = 0 for b. -15 Solve -33*t + 77 = -48*t + 22*t for t. 11 Solve 75 = -10*y + 47 + 68 for y. 4 Solve -1890 = 131*v + 4*v for v. -14 Solve -21*w = 52*w + 73 for w. -1 Solve 14*u = -36*u + 42*u + 88 for u. 11 Solve -148*x - 42*x = 2090 for x. -11 Solve 755 - 1211 = -50*g + 1044 for g. 30 Solve 59*n - 783 = -1196 for n. -7 Solve -618*r - 2362 + 766 = 1494 for r. -5 Solve -215*c + 251*c - 555 - 21 = 0 for c. 16 Solve 40*q = 251 + 189 for q. 11 Solve 109*k - 160 - 502 = -8 for k. 6 Solve 8*o + 0 = 5*o + 33 for o. 11 Solve 5089*t + 20655 = 4324*t for t. -27 Solve -20*d + 52 + 174 = 46 for d. 9 Solve 29*m + 85837 - 85605 = 0 for m. -8 Solve -9467*o + 9480*o - 260 = 0 for o. 20 Solve -160*u = -134*u - 237 + 55 for u. 7 Solve 648*y + 100*y - 27676 = 0 for y. 37 Solve 0 = -98*f + 41 + 452 - 3 for f. 5 Solve -63*w + 79 + 973 = -460 for w. 24 Solve -18*n - 7*n - 354 + 704 = 0 for n. 14 Solve 24*r - 14*r + 26 = 12*r for r. 13 Solve 2209 = 131*x - 153 - 258 for x. 20 Solve 4*r = 30*r + 7*r + 396 for r. -12 Solve 0 = 225*x - 172*x - 583 for x. 11 Solve 0 = 61243*q - 61232*q + 187 for q. -17 Solve 2341*h = -2344*h + 4681*h - 156 for h. -39 Solve -2*n + 8*n = -25*n + 155 for n. 5 Solve 103*g - 150*g - 87 - 7 = 0 for g. -2 Solve 6*k - 81 = -23*k + 209 for k. 10 Solve -17*c + 22*c = 19*c - 126 for c. 9 Solve -264*f - 19239 = -25047 for f. 22 Solve 5*m = 45*m - 24*m + 208 for m. -13 Solve -2075 - 275 = -235*l for l. 10 Solve -3*h + 177 = 164*h - 324 for h. 3 Solve -193*b + 359*b - 184*b + 36 = 0 for b. 2 Solve -175*w = -344*w +
{ "pile_set_name": "DM Mathematics" }
culate 2 divided by -618107. -2/618107 Calculate -173790 divided by -7. 173790/7 What is 5067 divided by -4? -5067/4 Divide 753708 by 4. 188427 Calculate -11 divided by 9470. -11/9470 Divide -1649658 by 3. -549886 What is 256 divided by -36045? -256/36045 What is -1003935 divided by 635? -1581 Calculate 2491718 divided by -6. -1245859/3 What is -544810 divided by 14? -38915 Divide 169575 by -2975. -57 Calculate -485433 divided by 3. -161811 Divide -168 by 246. -28/41 What is -75 divided by -8206? 75/8206 -2 divided by -4906 1/2453 What is -1538 divided by -229? 1538/229 Calculate 168 divided by 1922. 84/961 Calculate -161 divided by 151. -161/151 Calculate 99294 divided by 494. 201 Divide 37660 by 34. 18830/17 Divide -2751 by -2751. 1 1244235 divided by 5 248847 What is 17094 divided by 231? 74 Calculate 195 divided by 1981. 195/1981 Divide -122550 by 19. -6450 Calculate 4 divided by -150271. -4/150271 416 divided by -106 -208/53 -14620 divided by -1 14620 What is -500641 divided by 1? -500641 What is -3 divided by -10433? 3/10433 Calculate 4683235 divided by 936647. 5 Divide 6 by 16261. 6/16261 -1 divided by -3031 1/3031 Calculate -238740 divided by 346. -690 What is -1694 divided by -465? 1694/465 -729174 divided by -243058 3 What is -1760 divided by 32? -55 Divide 5 by -10455. -1/2091 Calculate -5347 divided by -6. 5347/6 Calculate 56668 divided by 1828. 31 Divide -27084 by 183. -148 Divide -1631144 by -39784. 41 What is 14222 divided by 7111? 2 Calculate 134398 divided by 902. 149 Calculate 162980 divided by -580. -281 Calculate 2486 divided by 596. 1243/298 What is 853908 divided by -213477? -4 959 divided by 80 959/80 What is -872788 divided by -124684? 7 What is 2782 divided by -40? -1391/20 What is 88 divided by -127? -88/127 -1132544 divided by -56 20224 Divide -117411 by -39137. 3 What is -306708 divided by 6? -51118 -5 divided by 176399 -5/176399 Calculate 20642 divided by -20642. -1 Calculate -536205 divided by 178735. -3 Calculate 342290 divided by -13165. -26 Divide -479 by -159. 479/159 Calculate 184896 divided by 92448. 2 0 divided by -85455 0 Divide 418335 by -1. -418335 Calculate -5913 divided by -16. 5913/16 Divide -445554 by -445554. 1 -206016 divided by 888 -232 What is -9486 divided by -2? 4743 What is -1468885 divided by -293777? 5 -80353 divided by -13 6181 Calculate 257999 divided by -36857. -7 Calculate -75979 divided by -4. 75979/4 Calculate -14475 divided by -10. 2895/2 What is 0 divided by 731771? 0 Calculate 119846 divided by 3866. 31 What is -2538 divided by -6? 423 Calculate -18 divided by -12443. 18/12443 Calculate 464 divided by -198. -232/99 Divide -910530 by 2. -455265 What is 210160 divided by 52540? 4 Calculate 4735 divided by 5. 947 Divide 30432 by -3804. -8 Divide -51282 by 6. -8547 -104524 divided by -52262 2 What is 5 divided by -586921? -5/586921 Calculate -279 divided by 2476. -279/2476 Divide -735436 by -13. 56572 1 divided by -402120 -1/402120 Calculate 21402 divided by -87. -246 Divide -31302 by -6. 5217 Calculate -56683 divided by 5153. -11 What is -426291 divided by -3? 142097 Divide -8 by -3343. 8/3343 -5917 divided by -7 5917/7 What is -2155 divided by -114? 2155/114 254250 divided by 6 42375 68765 divided by 6 68765/6 Calculate -37718 divided by 18859. -2 -19936 divided by -112 178 Divide 21322 by 5. 21322/5 Calculate 21170 divided by 4. 10585/2 What is -27390 divided by 6? -4565 0 divided by -13905 0 Divide 1937065 by 221. 8765 What is 2158951 divided by -1? -2158951 Divide 2 by 33278. 1/16639 1017036 divided by -18834 -54 What is 2 divided by 84484? 1/42242 What is -5 divided by -71476? 5/71476 What is 37 divided by 62? 37/62 Divide -4 by -478064. 1/119516 Divide 6994410 by -3. -2331470 Calculate -6362940 divided by 5. -1272588 Calculate 6 divided by 241967. 6/241967 What is -83 divided by -48? 83/48 Divide 1 by -3799. -1/3799 Divide 23460 by -10. -2346 What is 915048 divided by 6? 152508 What is 778041 divided by 29? 26829 Calculate -27 divided by -753. 9/251 Divide 412 by 122. 206/61 What is 11860374 divided by -6? -1976729 What is -370 divided by -5445? 74/1089 Divide 59400 by 30. 1980 Divide -57971 by -6. 57971/6 660858 divided by -1 -660858 Calculate 2852 divided by -600. -713/150 -1 divided by -177164 1/177164 Divide 83430 by -9. -9270 Divide 199300 by 1993. 100 Calculate -5 divided by 6263. -5/6263 Divide -4315 by 76. -4315/76 6 divided by -55970 -3/27985 96554 divided by 2099 46 Calculate -745844 divided by -5566. 134 Divide -6998 by 6998. -1 What is -459380 divided by 206? -2230 What is 9 divided by -3607? -9/3607 Calculate 49 divided by 2233. 7/319 -13750 divided by 110 -125 Divide 53717 by 53717. 1 Divide 20057 by -647. -31 Calculate 15180 divided by 1012. 15 2 divided by -112395 -2/112395 107576 divided by 5 107576/5 What is 58491 divided by 9? 6499 16849 divided by -4 -16849/4 Divide 428 by 477. 428/477 Divide 326 by 982. 163/491 Calculate -764550 divided by -75. 10194 -36038 divided by -37 974 What is -5977 divided by 2? -5977/2 Divide -51 by -4116. 17/1372 -896720 divided by -448360 2 Calculate 2269424 divided by -58. -39128 -4 divided by 170184 -1/42546 -167848 divided by 41962 -4 98007 divided by 14001 7 64200 divided by -856 -75 Divide -616911 by -205637. 3 -7 divided by -131879 7/131879 Calculate 5673762 divided by 6. 945627 -19075 divided by -25 763 What is 14964 divided by -4988? -3 What is -56613380 divided by 5? -11322676 Divide -629660 by 314830. -2 -27365184 divided by -6 4560864 3411 divided by 3 1137 Calculate -42800 divided by -8560. 5 -148604 divided by 2 -74302 Divide -25583 by -25583. 1 Divide 10916 by -6. -5458/3 What is -31 divided by -1858? 31/1858 What is 30113 divided by -2? -30113/2 What is -4 divided by 4377? -4/4377 Calculate -2727168 divided by 3392. -804 What is 114140 divided by -11414? -10 5455 divided by -8 -5455/8 What is -26 divided by 687? -26/687 Divide -6712 by 4. -1678 -37890 divided by -10 3789 Calculate -32950 divided by -1. 32950 1128 divided by 21 376/7 Calculate -40506 divided by -6751. 6 What is 10899237 divided by 1? 10899237 What is 20400 divided by 20? 1020 198 divided by -34 -99/17 -79352 divided by 13 -6104 What is -125467 divided by -37? 3391 Calculate -621712 divided by -728. 854 Calculate -1545060 divided by 330. -4682 671925 divided by 2 671925/2 What is -393 divided by -312? 131/104 Divide -4 by -38866. 2/19433 Calculate 24686 divided by 4. 12343/2 Divide 15480 by 46. 7740/23 What is -903900 divided by 9039? -100 Divide -340012 by 170006. -2 Divide -782184 by 195546. -4 Calculate -4 divided by 17254. -2/8627 Calculate -209433 divided by -69811. 3 Calculate -51248 divided by 5. -51248/5 14000 divided by -28 -500 What is -41760 divided by -720? 58 Calculate 2 divided by -2132755. -2/2132755 Divide 624484 by -4. -156121 What is 13780 divided by -53? -260 -298206 divided by -6 49701 Calculate -1417708 divided by -3. 1417708/3 -1676768 divided by 13744 -122 Divide -463788 by 78. -5946 472590 divided by -3 -157530 Calculate -126 divided by 6077. -126/6077 -529075 divided by 25 -21163 What is -109 divided by -2202? 109/2202 Calculate -29150 divided by 10. -2915 Calculate -41 divided by -6159. 41/6159 Calculate -4511538 divided by 54. -83547 -2 divided by -895 2/895 Divide 2 by -27881. -2/27881 Calculate -12550 divided by -24. 6275/12 Calculate 52 divided by -4. -13 Calculate -1 divided by -11601. 1/11601 What is 69282 divided by 11547? 6 28888 divided by 6 14444/3 What is 2594352 divided by 864784? 3 What is -575330 divided by 5? -115066 -3316146 divided by -1658073 2 What is -126 divided by 4251? -42/1417 Divide 5250 by 14. 375 -10 divided by -175301 10/175301 What is 225180 divided by 37530? 6 Calculate 1256412 divided by 6. 209402 What is -685 divided by -1119? 685/1119 Calculate -643 divided by -65. 643/65 Calculate 4 divided by -1110. -2/555 Calculate 3 divided by 1426. 3/1426 -615980 divided by -3242 190 Divide 809024 by 4. 202256 What is -1340376 divided by -446792? 3 Divide -3890205 by -33. 117885 -5 divided by -280297 5/280297 -151 divided by -195 151/195 -4568648 divided by -119 38392 Calculate -2492826 divided by 14. -178059 Divide -178 by 164. -89/82 -659178 divided by 313 -2106 Calculate 45 divided by -804. -15/268
{ "pile_set_name": "DM Mathematics" }
first derivative of -80*c**2 + 780. Give m(b(q)). -640*q Let j(r) = 380044*r. Let m(s) = s**2. Give m(j(n)). 144433441936*n**2 Let y(i) be the third derivative of i**4/8 - 6*i**2 + 15. Let a(h) = 22*h. What is a(y(j))? 66*j Let x(h) = 8*h + 15. Let w(t) = -311*t**2. Determine w(x(r)). -19904*r**2 - 74640*r - 69975 Let n(s) be the first derivative of 3*s**2 - 108. Let q(p) = -18*p. What is n(q(o))? -108*o Suppose 15*g - 12*g = 57. Let f(j) = -3*j + 19 - g. Let i(x) = 1 - 5*x - 1. Give f(i(w)). 15*w Let z(c) = -12*c**2 - 20*c. Let f(x) = -5*x + 6. Give f(z(w)). 60*w**2 + 100*w + 6 Let z = 33 + -19. Let p(g) = -z + 14 + 4*g**2. Let c(j) be the second derivative of -j**4/4 + 20*j. Calculate p(c(d)). 36*d**4 Let o(d) = 4*d. Let j = 324 - 324. Let r(t) be the first derivative of j*t**2 + 1/3*t**3 + 0*t - 7. Determine o(r(q)). 4*q**2 Let m(a) = a**2. Let p(v) = -76*v + 6. Let f(h) = 4104*h - 323. Let j(y) = -6*f(y) - 323*p(y). What is j(m(s))? -76*s**2 Let p(j) = 116099*j**2. Let s(a) = -2*a**2. Give s(p(y)). -26957955602*y**4 Let s(i) = 6*i - 1. Let c(l) = -31*l + 5. Let y(j) = 3*c(j) + 15*s(j). Let d(k) = k**2 + 206*k. What is y(d(h))? -3*h**2 - 618*h Let v(k) = -k**2. Suppose -2*i + 3*j = 8, i + 0*j - 22 = -5*j. Let a(r) = -6*r**2 + 6*r**i - 11*r**2. Give v(a(w)). -121*w**4 Let i(h) = 12*h**2. Let u(w) = -673*w - 3 + 38*w**2 + 673*w + 3. Determine i(u(f)). 17328*f**4 Let f(b) = 17342*b - 2. Let d(n) = 3*n**2. Give d(f(c)). 902234892*c**2 - 208104*c + 12 Let t(j) = 232*j - j**2 - 473*j + 241*j. Let o(i) be the third derivative of 5*i**4/6 - i**2. Give o(t(f)). -20*f**2 Let y(u) = 10*u**2. Let p(f) be the third derivative of 7*f**5/30 - 154*f**2. Calculate y(p(m)). 1960*m**4 Let h(j) = 200*j - 4*j**2 - 200*j + 9*j**2. Let x = 5 - 9. Let r(b) = -3*b**2 - 4*b. Let q(a) = 2*a**2 + 3*a. Let k(f) = x*q(f) - 3*r(f). Give k(h(i)). 25*i**4 Let s be (78/9)/((-2)/21). Let k(c) = -780*c. Let r(v) = -26*v. Let l(x) = s*r(x) + 3*k(x). Let d(i) = i**2. Determine l(d(t)). 26*t**2 Let w(m) = -45*m**2 + 3*m. Let c(s) = 13*s. Give c(w(x)). -585*x**2 + 39*x Let f = 10 - 8. Suppose -f*w = -2*z, -2*w + 0*w = -4*z + 8. Let g(p) = 3 + 1 - z - 8*p**2. Let v(b) = -b. Determine g(v(n)). -8*n**2 Let t(d) = d**2 + 7. Let v(z) = -3110*z. Give t(v(a)). 9672100*a**2 + 7 Let d(j) = -4*j**2 + j**2 + 2*j**2. Let h be 2 - 1194/(-27) - (-2)/(-9). Let v(b) = 97*b - h*b - 50*b. Calculate d(v(c)). -c**2 Let n(q) be the second derivative of -3*q**3 - q**2 + 242*q. Let x(f) be the third derivative of f**4/12 - 2*f**2. Determine x(n(u)). -36*u - 4 Let x(q) = 218*q + 233*q - 467*q. Let n(f) be the first derivative of f**2/2 - 18. What is n(x(p))? -16*p Let o(c) = -c - 51. Let q(k) = -138999 + 138999 + k**2 + 12*k**2. Determine q(o(g)). 13*g**2 + 1326*g + 33813 Let a(x) be the third derivative of -2*x**4/3 - x**2. Let v(s) = 7*s**2 + 11*s**2 - 16*s**2. Give a(v(y)). -32*y**2 Let d(j) = 3*j**2 + 47. Let n(r) = -49*r. Give d(n(t)). 7203*t**2 + 47 Let i(f) = -2*f**2. Let g(x) = -3118 + 287*x + 3118. What is i(g(n))? -164738*n**2 Let m(k) = -3*k - 5. Let z(j) = 4*j + 6. Let q = -24 + 29. Let f(c) = q*z(c) + 6*m(c). Let i(a) = -9*a**2. Give f(i(l)). -18*l**2 Let i(h) = 4*h - 5. Let v(k) = k + 0 - 3*k + 7 - 5. Let m(f) = 2*i(f) + 5*v(f). Let y(d) = -8*d. Determine y(m(a)). 16*a Let a(w) = 71*w**2 - 5*w + 5. Let r(p) = 2166*p**2 - 152*p + 152. Let m(v) = 152*a(v) - 5*r(v). Let h(j) = -13*j. What is h(m(u))? 494*u**2 Let n(q) = -3*q**2. Let r(c) = -1225*c**2. What is n(r(l))? -4501875*l**4 Let p(t) = 343*t. Let v(y) = y - 15. Let k(i) = 5. Let g(u) = -3*k(u) - v(u). What is p(g(n))? -343*n Let m(n) = -8*n. Let i(k) = 22*k. Let w(c) = -15*c. Let g(s) = 5*i(s) + 8*w(s). Let p(j) = -9*j. Let d(z) = 6*g(z) - 7*p(z). What is d(m(o))? -24*o Let h(i) be the first derivative of -11*i**2/2 - 1. Let o(k) be the third derivative of k**5/10 + 2441*k**2. Give h(o(s)). -66*s**2 Let v(a) = 14*a**2. Suppose 0 = -7*y + 2*y + 10. Let i(k) = -3*k + 2*k + y - 2. Determine i(v(l)). -14*l**2 Let p(x) be the second derivative of 7*x**5/60 - 10*x**3/3 + 8*x. Let v(i) be the second derivative of p(i). Let m(d) = -d**2. Calculate v(m(a)). -14*a**2 Let f(z) = z + 587. Let p(d) = -11*d - 78. Let y(m) = 5*m + 36. Let c(n) = -6*p(n) - 13*y(n). Calculate f(c(t)). t + 587 Let d(a) = 48*a**2 - 24*a**2 - 20*a**2 + 5. Let y(w) = -7*w**2. Determine d(y(k)). 196*k**4 + 5 Let l(i) be the third derivative of 0*i + 1/60*i**5 - 6*i**2 + 0*i**3 + 0 + 0*i**4. Let a(c) = c. Calculate a(l(h)). h**2 Let x(v) = -v. Let u(y) = -2*y - 1. Let p(d) = -81*d - 3. Let j(i) = -4*p(i) + 12*u(i). Calculate j(x(c)). -300*c Let w(x) = -1931*x. Let d(l) = -42*l**2. Calculate w(d(j)). 81102*j**2 Let w(o) = -2*o. Let t(j) be the first derivative of 8*j**3/3 - 229. What is t(w(l))? 32*l**2 Let k(w) be the first derivative of w**2/2 + 12. Let o(f) = -2*f**2 - 6*f**2 + f**2. Give o(k(x)). -7*x**2 Let t = 69 + -67. Let s(o) = -8*o**2 + 9*o**2 + o**t + o**2. Let m(z) = 18*z. Give s(m(r)). 972*r**2 Let c(i) = 3*i**2 + 3*i. Let u(k) = 32028*k**2. Calculate c(u(y)). 3077378352*y**4 + 96084*y**2 Let r(q) = 3*q. Let i(o) be the first derivative of -o**4/2 - 12*o - 3. Let d(p) be the first derivative of i(p). Calculate r(d(x)). -18*x**2 Let j(w) be the third derivative of -23*w**5/60 - 477*w**2. Let z(a) = -17*a**2. Determine z(j(k)). -8993*k**4 Let u(o) = 9*o**2 + 27047*o - 27047*o. Let b(n) = -n**2 - 3*n + 3. Let p(j) = -j + 1. Let l(a) = b(a) - 3*p(a). What is l(u(g))? -81*g**4 Let o(c) be the third derivative of c**4/12 + 89*c**2. Let l(f) = -133*f**2. Determine l(o(b)). -532*b**2 Let g(v) = -10*v**2. Let k(q) = -2*q. Let n(x) = 12*x**2 - 32*x. Let z(u) = 48*k(u) - 3*n(u). What is z(g(l))? -3600*l**4 Let q(l) = -8*l. Let p(x) = 245298*x**2. What is q(p(h))? -1962384*h**2 Let o(t) = -23*t**2. Suppose 4*h = -5*b + 30, h + 3 = 2*b + 4. Let q(k) = 1 - b*k**2 + 3*k**2 - 1. Determine o(q(m)). -23*m**4 Let o(h) = -4*h. Let s(i) = -473531*i**2. Calculate s(o(a)). -7576496*a**2 Let f(v) = 2*v**2. Let t(g) be the second derivative of g**3/6 + 13*g. Calculate t(f(m)). 2*m**2 Let o(u) = 5*u**2. Let x(r) be the first derivative of -5*r**2 + 13. Let i(w) = 9*w. Let l(a) = -6*i(a) - 5*x(a). Calculate o(l(t)). 80*t**2 Let i(m) = m. Let q be (-352)/(-14) + (-9)/63. Let u(a) = q - 20*a - 25 - 32*a. Let w(j) = 39*i(j) + u(j). Let v(p) = p. Give w(v(z)). -13*z Let w(j) = -6*j. Let b(q) = 3315*q**2 + 2*q + 1. Give b(w(a)). 119340*a**2 - 12*a + 1 Let o(i) = -5*i + 1879. Let u(v) = -25*v. Give o(u(t)). 125*t + 1879 Let m(x) = x**2. Let q(n) be the third derivative of n**4/12 - 65*n**2. Determine m(q(d)). 4*d**2 Let d(x) = -2*x. Let t(p) = 622*p**2. Calculate d(t(z)). -1244*z**2 Let o(h) be the first derivative of h**2 + 7*h - 42. Let b(r) = r**2. Give b(o(l)). 4*l**2 + 28*l + 49 Let p(k) = k. Let x = -27 + 29. Let w(v) = 7 - 8 + 57*v**x + 1. Calculate p(w(j)). 57*j**2 Let s(h) = -h. Let f(q) = -328*q + 329*q - 437*q**2 - 679*q**2 + 121*q**2. Determine f(s(m)). -995*m**2 - m Let y(b) = -b. Let a(h) = -35*h + 22*h + 15*h. Determine a(y(s)). -2*s Let f(d) = d. Let g(v) = -22*v + 202. Let q(l) = -14*l + 135. Let r(w) = -5*g(w) + 8*q(w). Determine f(r(o)). -2*o + 70 Let x(y) = -y**2. Let d(l) = -l**2 - 7*l - 2. Let o be d(-5). Let m(n) = -o*n + 16*n + 11*n. Calculate x(m(s)). -361*s**2 Let b(t) = 9*t**2 + t - 27. Let d(f) = -14*f. What is b(d(u))? 1764*u**2 - 14*u - 27 Let v(h) = -12*h. Let y(d) be the second derivative of -d**3/6 - 2*d. Give v(y(u)). 12*u Let o(p) be the second derivative of p**3/6 - 9*p. Let x(v) = -8*v - 2. What is x(o(z))? -8*z - 2 Let g(y) = -8*y. Let s(x) = 12*x - 3 + 0*x + 3. Let p(v) = 8*g(v) + 5*s(v). Let j(n) = -2. Let i(k) = k**2 - 3. Let a(m) = -2*i(m) + 3*j(m). What is a(p(r))? -32*r**2 Let y(l) = 12*l**2. Let u(p) = -544*p**2. Give u(y(q)). -78336*q**4 Let c(w) be the second derivative of 38*w + 0 + 1/2*w**4 + 0*w**2 + 0*w**3. Let o(a) be the third derivative of -a**4/24 - a**2. What is o(c(r))? -6*r**2 Let p(k) = -360107*k**2. Let q(d) = -d. Give p(q(a)). -360107*a**2 Let l(n) = 10*n**2 + 4*n + 8. Let b(w) = 10*w**2 + 3*w + 6. Let r(u) = -4*b(u) + 3*l(u). Let h(o) be the first derivative of 2*o**3/3 + 3. What is r(h(v))? -40*v**4 Let h(n) = 5*n**2 - 167*n. Le
{ "pile_set_name": "DM Mathematics" }
second derivative of -350*d - d**3 - 5*d**i + 334*d - 22*d**3 wrt d? -168*d Differentiate 69 - 280*d - 7 + 30*d + 9 + 62 with respect to d. -250 Let s(d) be the first derivative of -19*d**5 + 22*d**2 - 483. Find the second derivative of s(z) wrt z. -1140*z**2 What is the second derivative of 2 + 188*h**4 - 4*h**2 + 22*h + 7*h**2 + 21*h - 3*h**2 wrt h? 2256*h**2 Let z(s) = 3*s + 1. Let p(i) = i - 2*i + 0*i. Let x = -241 + 245. Let m(g) = x*z(g) + 11*p(g). Differentiate m(q) wrt q. 1 Let b be (1 - 5)*65/(-26). What is the first derivative of -b - 1 - q + 10*q + 2*q wrt q? 11 Let l(w) be the first derivative of 153*w**4/2 - 191*w - 16. What is the derivative of l(v) wrt v? 918*v**2 Let m(v) be the third derivative of 12*v**2 + 0*v**4 + 13/6*v**3 + 0 + 0*v + 0*v**5 + 17/120*v**6. Find the first derivative of m(d) wrt d. 51*d**2 Let c(x) = 554*x**2 - 6*x + 203. Let v(k) = -554*k**2 + 8*k - 201. Let l(d) = 4*c(d) + 3*v(d). Find the first derivative of l(w) wrt w. 1108*w Let u(m) = 27*m - 71. Let l(j) = -2*j - 2. Let t(b) = -4*l(b) + u(b). Differentiate t(i) wrt i. 35 Let z(g) = 5*g - 4. Let w(f) = f. Let k = 13 - 19. Let y(s) = k*w(s) - z(s). Differentiate y(l) with respect to l. -11 Differentiate 11*w + 303 - 3*w + w - 3*w**2 - 14*w with respect to w. -6*w - 5 Let f be 18 + 0*3/15. What is the first derivative of 34*h - f + 37 + 2 wrt h? 34 Let p(n) be the first derivative of -5*n**8/168 + n**4/3 + n**2 + 4. Let y(w) be the second derivative of p(w). Find the second derivative of y(k) wrt k. -200*k**3 Find the first derivative of 288*h**3 + 69823*h - 186 - 69823*h wrt h. 864*h**2 Let u(n) = n**2 - 214*n - 12. Let k(m) = m**2 - m - 2. Let s(r) = -6*k(r) + u(r). What is the second derivative of s(q) wrt q? -10 Let l(n) = -43*n**5 + 7*n - 1. Let q(m) = 42*m**5 - 7*m. Let o(z) = -6*l(z) - 5*q(z). What is the second derivative of o(y) wrt y? 960*y**3 Let v(m) = -6*m**4 + 4*m**3 - 7*m**2 + 9*m. Let o(p) = p**4 - p**3 + p**2 + p - 1. Let i(h) = -4*o(h) - v(h). Find the second derivative of i(b) wrt b. 24*b**2 + 6 Find the third derivative of -60*q**3 + 10*q**6 + 60*q**3 + 53*q**2 + 29*q**6 wrt q. 4680*q**3 Let v(j) = -26*j**4 + 2*j**3 + 239*j**2 - 4*j - 2. Let l(a) = a**4 - a**2 - 2*a - 1. Let x(h) = -2*l(h) + v(h). Find the third derivative of x(c) wrt c. -672*c + 12 Let w(m) = 30*m**2 - 12. Let f(c) = 387*c - 13 + 29*c**2 - 387*c. Let y(i) = -5*f(i) + 4*w(i). What is the first derivative of y(g) wrt g? -50*g What is the second derivative of 170 - 329*u**2 + 13*u - 21*u - 165 wrt u? -658 Let c(s) be the second derivative of 3*s**5/20 - 5*s**4/4 + 81*s**2 + 36*s. Find the first derivative of c(n) wrt n. 9*n**2 - 30*n Let l be (-2)/(-13) + (-3534)/(-13). What is the third derivative of 14*k**2 - 34*k**2 - l*k**5 + 282*k**5 wrt k? 600*k**2 Let l(a) be the first derivative of -a**3/3 - 5*a**2/2 + 52*a + 17. Find the first derivative of l(j) wrt j. -2*j - 5 What is the second derivative of -682*s**5 + 181*s**5 + 53*s + 136*s + 134*s - 60*s wrt s? -10020*s**3 Let l(g) be the second derivative of g**6/30 + 7*g**5/10 - 95*g**4/4 - 241*g. Find the third derivative of l(m) wrt m. 24*m + 84 Let o(u) be the first derivative of 24*u**3 + 56*u**2 - 3*u - 341. What is the second derivative of o(r) wrt r? 144 Suppose -j + 16 = j. Let d(y) be the first derivative of y - 5*y**4 + 7 - 2*y**4 + j*y**4. What is the first derivative of d(x) wrt x? 12*x**2 Suppose -2*o + 6*o = 4. Suppose r = 6 - o. Find the second derivative of -10*b + 2*b**5 - b**r + 22*b wrt b. 20*b**3 Let x(y) be the third derivative of 0*y**6 + 0*y - 1/2*y**4 + 7*y**2 + 0 + 0*y**7 + 0*y**3 + 0*y**5 - 1/56*y**8. What is the second derivative of x(f) wrt f? -120*f**3 Let v(u) = -u**3 - 2*u**2 + 4*u + 6. Let x be v(-3). What is the third derivative of -12*k**3 - 4*k**4 + 12*k**x - 16*k**2 - 8*k**4 wrt k? -288*k Let v(z) = 39*z**3 - 6*z**2 + 25*z. Let y(p) = -40*p**3 + 7*p**2 - 23*p. Let o(s) = 7*v(s) + 6*y(s). Find the second derivative of o(g) wrt g. 198*g Let h(v) = 2*v**3 - 35*v**2 - 53*v + 13. Let z(a) = 4*a**3 - 52*a**2 - 79*a + 20. Let d(x) = -8*h(x) + 5*z(x). What is the second derivative of d(i) wrt i? 24*i + 40 Let v(m) be the second derivative of -239*m**6/30 - 57*m**3/2 - 252*m. What is the second derivative of v(u) wrt u? -2868*u**2 Let r be (4/(-8))/(2*(-3)/12). Let f(d) = 14*d**5 + 10*d - 2. Let i(w) = w - 1. Let z(p) = r*f(p) - 2*i(p). Find the second derivative of z(g) wrt g. 280*g**3 Find the first derivative of 3*w - 92 + 3*w + 18*w**4 - 6*w**4 - 7*w**4 wrt w. 20*w**3 + 6 Let h(l) = -l + 1. Let i(c) = 4*c**2 - 5*c - 4. Let n(v) = 2*h(v) - i(v). Let x(y) = y**2 - y. Let m(q) = -n(q) - 3*x(q). Differentiate m(j) wrt j. 2*j Suppose -55 = -4*a + 3*c, -2*a - 4*c + 30 = 3*a. What is the second derivative of a*y + 4*y**2 + 17*y + 15*y**2 wrt y? 38 What is the third derivative of 67*n**5 - n**2 - 124*n**5 + 2*n**3 + 71*n**5 - 2*n wrt n? 840*n**2 + 12 What is the second derivative of -260*k**2 + 56*k + 152*k**2 - k**4 + 135*k**2 wrt k? -12*k**2 + 54 Let g(a) be the third derivative of 4*a**7/105 + 4*a**4/3 - a**3/6 + 16*a**2. Let s(k) be the first derivative of g(k). Differentiate s(p) with respect to p. 96*p**2 Find the second derivative of -2*a - 7 - 10 - 2355*a**3 + 2355*a**3 - 245*a**5 + 1 wrt a. -4900*a**3 Let w(m) = 32*m - 53. Let b(d) = -35*d + 54. Let u(y) = -4*b(y) - 5*w(y). What is the first derivative of u(s) wrt s? -20 Let n(j) = -j**3 - j**2 + j - 1. Let g(v) = -12*v**3 + 3*v**2 + 9*v - 87. Let z(i) = -g(i) + 9*n(i). Differentiate z(s) wrt s. 9*s**2 - 24*s Let k(s) = 18*s - 15. Let u be k(10). What is the second derivative of z**2 + z**2 - u*z + 89*z + 92*z wrt z? 4 Let t(x) be the third derivative of 2*x**5/15 + x**4/24 + x**3/6 + 48*x**2. What is the second derivative of t(i) wrt i? 16 Find the second derivative of 211*v - 20*v**3 + 64*v**3 + 33622*v**2 - 33612*v**2 wrt v. 264*v + 20 What is the second derivative of -3*i + 9*i + i**2 - 8*i - 161*i**5 - 5*i + 5 wrt i? -3220*i**3 + 2 Let r(t) = 343*t - 70. Let b(h) = -173*h + 35. Let c(l) = 13*b(l) + 6*r(l). Differentiate c(a) wrt a. -191 Let c(s) = 4*s - 8. Let i = -1 + 6. Let b be c(i). What is the third derivative of 7*n**2 + b*n**4 - 14 + 4*n**2 + 14 wrt n? 288*n Suppose -4*h + 3*s + 29 = 0, 6*h - s = 3*h + 18. What is the third derivative of 0*r**3 - h*r**2 + 27*r**2 - 15*r**3 wrt r? -90 Let x(j) be the first derivative of -439*j**4/4 - 292*j**3/3 - 315. Find the third derivative of x(z) wrt z. -2634 Let c(u) be the second derivative of 0*u**4 + 0*u**2 + 3*u + 0 - 1/15*u**6 + 0*u**5 + 7/6*u**3. What is the second derivative of c(v) wrt v? -24*v**2 Suppose -2*d + 10 = r - 5, -d + 3*r = -11. Let g be (d - 8)/(4/(-2)). Find the second derivative of y**4 - 5*y - 4*y**4 + g*y**4 wrt y. -36*y**2 Find the third derivative of -j**3 - 454*j + 178*j**6 + 454*j + j**3 + 106*j**2 wrt j. 21360*j**3 Let t(l) be the first derivative of -587*l**2/2 - 717*l + 607. Find the first derivative of t(f) wrt f. -587 Let n(h) = 2*h - 1. Let z be (-23)/5 - 2/5. Let t be 3/(-2 + -1) + -1. Let x(a) = -3*a + 2. Let f(q) = t*x(q) + z*n(q). Differentiate f(v) wrt v. -4 Let l(c) be the third derivative of 6*c**2 + 0*c + 2/15*c**5 + 2/5*c**6 + 6 + 0*c**3 + 0*c**4. Find the third derivative of l(x) wrt x. 288 Suppose g - 8 = -4*s - s, -2*g + 2 = -4*s. Find the third derivative of 296*f**3 + g*f**2 - 296*f**3 + 5*f**2 - 28*f**4 wrt f. -672*f Let d(y) = -44*y + 41. Let h(r) = 88*r - 83. Let s(v) = 9*d(v) + 4*h(v). What is the derivative of s(l) wrt l? -44 Suppose -6 = -2*q - 2. Find the third derivative of -s**3 + 11*s + 2*s**q - 11*s + 7*s**3 wrt s. 36 Let p(s) be the second derivative of 3*s**6/5 + s**4/4 + 2*s**3 - s**2 + 4*s + 2. Find the second derivative of p(w) wrt w. 216*w**2 + 6 Let o be 2 + (-12)/(-2 + 1). Let k = o - 8. What is the third derivative of -10*w**2 - 3*w**k + 21*w**2 - 15*w**2 wrt w? -360*w**3 Let p(r) = -5*r**2 + 30*r. Let q(z) = 3*z**2 + 64*z - 4*z - 7*z**2 - 7*z**2 + z**3. Let m(c) = -9*p(c) + 4*q(c). What is the second derivative of m(b) wrt b? 24*b + 2 Let r(l) be the second derivative of -56*l**5/5 - l**3/6 - 66*l**2 - 3*l + 53. Find the second derivative of r(y) wrt y. -1344*y Let v(o) = 3*o**2 + 4*o - 2. Let b be v(-2). Suppose -2*
{ "pile_set_name": "DM Mathematics" }
-12 Solve 81*x + 76*x - 161*x + 11*t - 219 = 0, -3*x - 3*t - 198 = 0 for x. -63 Solve 3*v - 6747 = -0*k - 3*k - 13553 + 6773, v = 2*k + 19 for v. -1 Solve -3*t = p + 177, t + 488480*p + 59 = 488481*p for t. -59 Solve 4*d = 3132*v - 3133*v + 142, -3*d = -9*v - 87 for d. 35 Solve 4*p = 17*s - 95, -8801*p - 12*s + 69 = -8804*p for p. -11 Solve -58*z + 61*x - 59*x - 1098 = 0, -4*x + 87 = -5*z for z. -19 Solve 5*a + r - 11 = 0, -16*a = 16*a + 21*a - 51*a - 2*r + 10 for a. 1 Solve -16*q + 2359*x + 4 = 2355*x, 4*q = -x + 39 for q. 5 Solve -9*z - 4*s = -3*z + 106, -91*z + 86*z + 3*s + 72 = -8*z for z. -5 Solve 13*n = 2*h + 8, 2*n = 1807*h - 1812*h - 20 for h. -4 Solve -5*f + u = 6 - 34, -4*f - 1 = 5*u - 6 for f. 5 Solve 2*b + 5*d + 0*d = -6, b + 570*d + 13 = 565*d for b. 7 Solve 90286 = 4*j - x + 90227, 2*x + 172 - 39 = 9*j for j. 15 Solve -3*c + 5*u = -19, 20*c - 2*u - 2 = u - 27 for c. -2 Solve 9363 = -9*k + 3*n + 9369, 3*n = 14*k - 1 for k. -1 Solve -2*r = -2*c - 18, -4*c = -18*r + 13*r + 30 + 17 for r. 11 Solve -3*o - o = -o - 2*o, 4*i = -0*i + o - 100 for i. -25 Solve -4*q - f - 18 = 0, 5*q + 39218*f = 39223*f - 35 for q. -5 Solve 2*f + 2 = c, -257*f + 116*f - 588 = 4*c for f. -4 Solve 14*b + 4*a + 42 = 0, 3*b + a = 2*a - 6*a - 9 for b. -3 Solve -12*c + 40 = -7*c, 2*c - 21 = -o - 6 for o. -1 Solve -2*r = -4*r + 4*u + 2, -480 = -27*u + 123*u for r. -9 Solve -4*k + 110 = 4*a - 2 - 12, -3*a + 4*k - 145 = 0 for a. -3 Solve -5*b + 2*j = 108, -4*b + 125*j = 27370 - 20003 for b. 2 Solve -2*y + 2*y - 5*o - 158 = -17*y, -32 = -68*y + 64*y - 4*o for y. 9 Solve -5*h + 1 = 3*n, 5*h + 325 - 318 = 3*n - 2*n for n. 2 Solve 20 = 5*q - 5*k + 105, 2*k + 215 = -4*q + 159 for q. -15 Solve -j + 7 = 7*w + 4 - 3 + 7, 0 = 7*w + 2*j + 37 for w. 5 Solve 321*w - 322*w = -24*t - 105, -2*w - 2*t = -10 for w. 9 Solve -977124*j = -5*l - 977125*j - 230, -j + 46 = -l for l. -46 Solve -1310*p + 1309*p + 102 = -4*t, -p = t + 28 for t. -26 Solve 5*s + 24 = -180*d + 179*d - 8*s + 17*s + s, 2*d + 3*s = -9 for d. -9 Solve 47321*c - 47324*c - 298 = 55*v, 3*v - 40 = 2*c for v. -4 Solve -n + 51 = -2*i, 24*i - 55978*n = -55975*n - 621 for i. -26 Solve -135*g + 41 - 1 = -145*g, 8*m - 3*m + 2*g = m + 20 for m. 7 Solve -3*u + 18 = 148328*k - 148304*k, -3*k = -3*u + 18 for k. 0 Solve 3*j - 2*j - 6*x + 311 = -2*x, -771 = -91*j - 4*x for j. 5 Solve -2*i = 5*z - 3*i + 78, -280*i + 1297 = 280*z - 281*i for z. 5 Solve -5*a + 34*t - 17 = -3*a + 37*t + 74, 178 = -4*a - 10*t for a. -47 Solve 3*d + 5*g + 36 = 0, -439953*d + 439949*d - 2*g - 20 = 0 for d. -2 Solve -13*f - 2*f + 5*d = -0*d - 90, -3*f - 20 = d + 19 - 51 for f. 5 Solve 142*p - 234*o + 231*o = 169, -3*p - 2*o - 15 = 0 for p. 1 Solve -1139*h + 1145*h - 4*x - 46 = 0, 3*h - 5*x - 8 = 0 for h. 11 Solve 12*v = -5*u - 2 + 18, -23 = -v + 5*u for v. 3 Solve -60759*h - 104*l - 124 = -60764*h, -h - 4*l = 0 for h. 4 Solve 0 = 2*v - 2*g - g - 67, 4*v + 31*g = -v + 6*v - 4 for v. 35 Solve 782 = -11*n + 10*n - 5*l + 757, -53*n - l = 5 for n. 0 Solve -r - 119 = 5*b - 3*r, 44 = b - 5*r + 43 + 34 for b. -23 Solve 11*w - 627*u = -622*u + 250, 0 = 4*w + 2*u - 110 for w. 25 Solve -2*q = -2*u + 4, -3*u - 2*q + 56*q - 30*q - 28*q = 8 for u. 0 Solve -154622977*z + 16*f = -154622975*z + 106, -2*z + f - 1 = 0 for z. 3 Solve -2*r + 2*m - m + 1038 - 2051 = -976, 0 = -118*r + 4*m - 2348 for r. -20 Solve 12171*r = 12174*r + x - 51, 4*x - 68 = -4*r for r. 17 Solve 11 = i - 4*f, 5*f - 787 + 1574 - 773 = i for i. -1 Solve -4*g + 5*c + 32 = 0, 4*g = -2*c - 2711 + 2715 for g. 3 Solve 2*x = 3*j - 41, 10724*j = 4*x + 10722*j + 14 for x. 5 Solve 4111*h - 2*q + 54 - 51 = 4114*h, -3*q + 6 = 5*h for h. 3 Solve -4789*h = -2*g - 4792*h + 15, -3066 = -1026*g + 4*h for g. 3 Solve 2*c - 5*k = -1 + 6, -159*c = -156*c - 5*k + 5 for c. -10 Solve 3*h + 64045*s + 126 = 64041*s, 5*h + s = -210 for h. -42 Solve 283*x - 278*x - 15*j + 30 = 0, -x + 7 = j + 2 - 5 for x. 6 Solve o + 65*w = -717, 4*o + 51 = -3*w + 4*w + 54 for o. -2 Solve 4*h = -3*a + 94, 198897*h - 198898*h + 19 = 3*a for a. -2 Solve -75 = -15*w, -85*b = 78*b + 77*b - 235*b - w - 75 for b. 16 Solve -9*n - 38 = -4*g - 3*n - 4*n, -39 = 3*g - 15*n for g. 12 Solve 4*j - 2637 = -4*n - 2661, 8*j - 12 = 2*n for n. -6 Solve -2*z + 20 = 5*q + 3*z, -4*z = -4*q + 2*q + 8 for q. 4 Solve 2*t - 20 = y, 5*y + 39 = 3*t - 48 + 43 for y. -4 Solve -5*p = 2*t - 137, -369*t + 53*p - 41 = -365*t for t. 56 Solve -188 = -15*k - 13*k + 24*k + 4*x, -4*k + 3*x = -138 for k. -3 Solve 2*d - 8 = -b - 0*d, -2*d - 753 = -763 for b. -2 Solve -4 = j - 2*k, 64*k - 24*k + 8 = -2*j + 34*k for j. -4 Solve -61 = -7*d + 72*m - 76*m, d + 3*m - 16 = 0 for d. 7 Solve r + 419 = -4*u + 411, 3*u + 13 = -r for u. 5 Solve u + 6*w + 3666 - 3365 = 0, u + 403 = -8*w for u. 5 Solve 288 = 2*n + 2*w + 320, -4*w - 4 = -n for n. -12 Solve -30372*o + 3 = -30368*o + 3*i, 4*i = 4*o + 32 for o. -3 Solve -v + 44*c - 657 = v + 100*c - 49*c, -2*v - 4098 = 44*c for v. -3 Solve 4*z - 358*r + 316 = -350*r, 2*z + 3*r = 122 for z. 1 Solve 12*h = 5*v + 159, -230020*v = -230023*v + 4*h - 57 for v. -3 Solve 11*o = -3*o + w - 73 - 26 - 261, 0 = 3*o - 3*w + 66 for o. -26 Solve 14690*t - 7346*t - 7345*t - 15 = -2*q - 6, -58*q = -3*t - 391 for t. 5 Solve 3*i + 2*r - 5 = -40 + 3, 43 = -8*r - 37 for i. -4 Solve 10*n + 14*m = -599 + 675, -17 = -4*m + 19 for n. -5 Solve 0 = o - 15*o + 9*o + o + 24, 14*o - 69 = -5*j for j. -3 Solve 4*q - 63 = 3*a, -61 = 46*a - 41*a - 22*q + 19*q for a. -5 Solve 8*j - 5*t = -295, -2260*j + 2259*j + 46 = t for j. -5 Solve -k = 3*k - 101*f + 221, -34*k + 33 = -35*k + 3*f for k. -30 Solve 3*n = -5*y + 15, -6*n - 2759 + 2799 = 2*n - 2*y for n. 5 Solve 3*a + 393*c = 388*c + 29, 5*c - 65 = -15*a for a. 3 Solve 4*x + 5990 = -2*l + 6184, -3*x = 3*l - 138 for l. -5 Solve 13*f = -5*d - 2, -1679*f = 4*d - 1676*f + 9 for d. -3 Solve -4*b - 3*z = 21, 0*b + 19*b + 0*z = 5*z + 35 for b. 0 Solve -p + 0*p = 3*r, 0 = 2273*p - 2274*p - 2*r + r for p. 0 Solve 14*l + 2*v = -0*l + 8, -15*v + 11*v = -14*l - 58 for l. -1 Solve -4*y + 492 = 4*j, -222*y = -435*y + 218*y - j + 105 for y. 3 Solve 23864*d + g + 25 = 23868*d, -3*d + 35 = -4*g for d. 5 Solve 0 = -3*b + 2*b + 1533 - 1532, 6*y + 5 = -b for y. -1 Solve 2*a + 2*v - 40 = -16, 0 = 4*a + 8*v - 80 for a. 4 Solve 0 = -2*r - 2*s + 2, 5*r = 5*r - 6*s + s + 5 for r. 0 Solve 5*l - 101 = -4*f, 1595*l = 7*f - 1587*l + 3180*l + 6 for f. 4 Solve 6*h - 13*h - 35 = -5*p - 5*h, 36*h - 7 = 5*p - 42 for p. 7 Solve 5558*n + 2*o = 5548*n + 30, -30 = -3*o for n. 1 Solve -2834*i - 4*o = -2837*i + 38, -o = 5*i + 4*o - 5 for i. 6 Solve -176 = 4*b + 6*l - 0*l, 0 = 5*b + 2*l + 82 - 27 for b. 1 Solve -3*n - 9 = -5*c, 3*c = -n + 2793 - 2796 for c. 0 Solve -2*w - 47 + 95 = 48, 4*r + 24 = 263*w for r. -6 Solve 3890*h - 3*a - 1 = 3888*h, -4*a = -h - 2 for h. 2 Solve -3*a - 2*u - 17 = 0, 15*a + 4*u + 76 = -32*a + 55*a for a. 3 Solve 5*t + 0*t - 15*t = -2*h - 3*t + 79, 5*h - 2*t - 37 - 21 = 0 for h. 8 Solve -10 = -z, -4*g + 15*z - 53 - 44 - 68 = -3 for g. -3 Solve 213*a - 108*a - 8*q + 19*q = 103*a - 47, 0 = -3*a + q - 53 for a. -18 Solve 2*r - 206000584 + 206000596 = -2*s, -4*s - 3 = r for s. 1 Solve -834*a - 5*p + 14 = -836*a, 169*a = -p - 1183 for a. -7 Solve 1076*w - 3*x + 90 = 1075*w, 98 = -19*w + 5*x for w. 3 Solve 27 = m + 100*z - 138*z, -5*m + z - 54 = 0 for m. -11 Solve 4*w - 2*r = -0*r - 22, 0 = 244*w - 246*w - 81*r + 85*r + 4 for w. -8 Solve -2*w - 4*h = -54, -194*w = -103*w - 90*w - 9*h + 94 for w. 5 Solve -4*u + 6 = l, -340 = -14*u - l - 344 for u. -1 Solve 14*f - 1878 + 1027 = 4*n - 991, -4*f - n = 40 for f. -10 Solve y + 0*y + 32 = 4*u, 17385*u - 76 = 17381*u - 10*y for u. 9 Solve -2960*u = -2963*u - 3, 37 = -4*r - 5*u for r. -8 Solve v - 38 = 2*r, 2209*v - 83 = 2214*v + 3*r for v. -4 Solve -m + 5*d = -18, -29*d + 13 + 7 = -33*d + 4 for m. -2 Solve 3*i = -3, -8*m - 46*m + i = -57*m - 4 for m. -1 Solve 165*z - 163*z = -3*f + 32, 8*f - 3*f - 68 = 4*z for z. -2 Solve 0 = -2*q + 4, -65*q + 24*q = 6*u - 43*q + 40 for u. -6 Solve 32*l + 28*l + 3*v + v = 50*l + 38, -2 = -v for l. 3 Solve v = -3*g + 13, 27*v = 163*g - 160*g - 69 for v. -2 Solve 207 = 238*u - 236*u + 23*l, -10*u + 4*l - 45 = -12*u - l for u. 0 Solve -5*p + 3*u - 8 = -26, -3*p - 20*u + 7 = -19*u -
{ "pile_set_name": "DM Mathematics" }
) 1983 a What is the fourth smallest value in 1/2, 195, 16, -4, 0.03? 16 Which is the second biggest value? (a) 6 (b) -1/2 (c) 0.3 (d) 4 (e) -1/65 d Which is the biggest value? (a) -5 (b) 8 (c) 2/37 (d) 0.3 (e) 3/5 (f) 1/3 b Which is the second biggest value? (a) 10 (b) -63 (c) 4 (d) -0.02 c Which is the biggest value? (a) 4 (b) 0.9 (c) 0 (d) -286 a Which is the second biggest value? (a) -5 (b) 4226 (c) 6 c What is the third biggest value in 2, -5, 5, -19626? -5 What is the biggest value in 4, 42, -0.2, 38, -2? 42 Which is the second smallest value? (a) -9 (b) 1.1 (c) 0 (d) -234 a Which is the fourth biggest value? (a) -0.0445 (b) -10 (c) 8 (d) -4/5 b Which is the second biggest value? (a) -1.332 (b) -0.4 (c) 3 (d) -89 b What is the smallest value in -3.981, -4/5, -2? -3.981 What is the second smallest value in 4, 1/5, 17, 0.17, -4, 0.5? 0.17 What is the second smallest value in -2, -0.08, 3, -3, 1.1, -0.5? -2 Which is the third biggest value? (a) 0.1646 (b) -3 (c) -1.16 b What is the second biggest value in 4/7, -15/8, -0.094, 0.2? 0.2 Which is the third biggest value? (a) -10 (b) 1.174 (c) 0.3 a Which is the biggest value? (a) 0 (b) -0.1 (c) 0.01 (d) 0.052 d What is the fifth smallest value in -1.1, 0.3, 43, -1/9, -1? 43 What is the smallest value in 8, 5, -1017? -1017 What is the biggest value in 15.677, -2/7, -2/29? 15.677 What is the fourth smallest value in 0.4, -0.644, -2/7, -2, 2/7, -1/7? -1/7 Which is the third smallest value? (a) -86 (b) 19 (c) 1/4 (d) -0.2 c What is the sixth biggest value in -3, 1/5, -12.8, 264, 3/4, 5? -12.8 Which is the third smallest value? (a) -60 (b) 1 (c) 14/23 (d) -0.2 c What is the smallest value in 9, 5, -0.04, -1/78? -0.04 Which is the fifth biggest value? (a) -1/76 (b) -62 (c) -4/7 (d) -0.1 (e) 3 b Which is the fifth smallest value? (a) -2 (b) -3/40 (c) -1 (d) -0.6 (e) 6 e Which is the second smallest value? (a) 1.6 (b) 27 (c) -7 (d) -2/7 d What is the smallest value in 0.1, 5668688, 0? 0 What is the second biggest value in 3, 0.2, -23/9, -5, 0.3, -3? 0.3 What is the third biggest value in 2/17, -0.06, 152, 3, -2? 2/17 What is the third biggest value in 10, -46, -7.7? -46 What is the sixth biggest value in -1, 765, -0.25, -3/4, 2, 0.1? -1 What is the fourth smallest value in -0.5, 4/707, -3/4, 0.09? 0.09 What is the second biggest value in -1, 16/9, -0.5, -51? -0.5 What is the sixth smallest value in -2/3, -2/7, -0.033, -0.2, -649, -1/2? -0.033 What is the fourth biggest value in -3, -0.5, 0.18, -1788? -1788 What is the third smallest value in 0.2, 108, -1/15, -3, 2/13? 2/13 What is the second smallest value in 1725, -2, 2, 1/5? 1/5 Which is the third biggest value? (a) 3 (b) -8/7 (c) 2 (d) -1131 (e) -0.1 e What is the biggest value in 3/13, -2, -1819? 3/13 Which is the second smallest value? (a) -34 (b) -2 (c) -68.2 (d) 10 a What is the fourth smallest value in 8/131, -11, 0, 17? 17 Which is the third biggest value? (a) -4 (b) -0.3 (c) 0.14556 (d) -0.1 b Which is the third smallest value? (a) -2/11 (b) 3/46 (c) 9.88 c Which is the fifth biggest value? (a) 0.14 (b) -0.1 (c) -1 (d) 4 (e) -0.5 (f) -7 c Which is the biggest value? (a) -4/3 (b) 0 (c) -3/22 (d) -0.4 (e) -640 b What is the fourth smallest value in -0.5, 5, -3, 0.332? 5 Which is the third smallest value? (a) -101 (b) 2/9 (c) -11/4 (d) -3 c What is the second smallest value in -0.5, 2, 282? 2 What is the third biggest value in 3/7, -2.6, -4, 0.3? -2.6 Which is the second smallest value? (a) -2 (b) -2/58755 (c) 1/7 b What is the third smallest value in 60798, 5, 10, 0.2? 10 Which is the third smallest value? (a) -3 (b) -40809 (c) -2/7 c Which is the fourth biggest value? (a) -2/47 (b) 13/29 (c) 2 (d) -2/7 (e) -2 (f) 0 a Which is the second smallest value? (a) -26/45 (b) -2.3 (c) -8 b What is the second biggest value in 0.05, -133, -13, -1/2? -1/2 Which is the third biggest value? (a) -0.3 (b) 1/3 (c) -98 (d) 18 a What is the fourth biggest value in -8, -1/10, 0.2, -10621? -10621 Which is the second smallest value? (a) -2/1841 (b) 0 (c) -0.5 (d) 3/7 (e) -2 (f) -0.07 c What is the sixth smallest value in -0.02, 0.3, -0.112, -0.2, 2/7, 3? 3 What is the third biggest value in 1, 328, 3, -2/19, 1/7, 0.03? 1 Which is the third biggest value? (a) 16 (b) 15 (c) 3/148 c What is the second biggest value in -5, -6/11, 0.1, -0.4, 3, 2/4795? 0.1 What is the third smallest value in -0.5, -556, 60? 60 What is the second biggest value in 6/5, 1/3, 6, 3/10, -4/7, 4? 4 Which is the smallest value? (a) -8 (b) 56 (c) 15 a Which is the second smallest value? (a) 0.1 (b) -6/5 (c) 3 (d) -7 (e) 0.2 b Which is the biggest value? (a) 0.1 (b) 0.71 (c) 0.5 (d) -4 b What is the third biggest value in -1449/2, -1/7, 5? -1449/2 What is the second smallest value in 36, 0.5, -8.8? 0.5 What is the third biggest value in 5, -2/47, -1, 0.5, 0.3? 0.3 Which is the third smallest value? (a) 4 (b) -445 (c) -0.3 (d) 1/3 d What is the second smallest value in -136, 0.3, -0.4, -2/19, 84? -0.4 What is the biggest value in 0.5, 3/4, -5/4, -3, -3/7, 63? 63 Which is the second biggest value? (a) -5 (b) 3 (c) -118 (d) -2 (e) 56 (f) -0.4 b What is the biggest value in 2/11, 12, 879? 879 What is the second smallest value in -3/2, -0.2, 0.2, -607, -2/5, 2/9? -3/2 Which is the second smallest value? (a) -0.5 (b) -7/33531 (c) 0.5 b Which is the third smallest value? (a) 108 (b) -0.1 (c) 1/4 (d) 1/7 c What is the fifth smallest value in -6, 1/2, -27, 0.2, 0.12? 1/2 What is the fifth smallest value in -3, 4, -0.7, 4.561, 0.04, 0.5? 4 What is the second smallest value in 4/3, 4/5, 0.5, 0, -3, 1/19? 0 What is the third biggest value in -1/4, 0.0011, 91? -1/4 Which is the second biggest value? (a) 0.5 (b) -4 (c) 4/5 (d) -3/11 a What is the third smallest value in 238, 11/3, 0.2? 238 What is the smallest value in -1.1, 6, 2.4, 19, 0? -1.1 Which is the second biggest value? (a) -5 (b) 4/7 (c) 0 (d) -33 c What is the biggest value in 0, -31, 20, -5, 5? 20 What is the second smallest value in -0.087, -2/9, 2295, -0.1? -0.1 What is the second biggest value in -5, 2, -1/93, -77? -1/93 What is the second biggest value in 2/3, 40, 0, -2/7, -25? 2/3 Which is the second biggest value? (a) 3 (b) 0.188 (c) 4 (d) -7 a What is the sixth biggest value in 0.1, 0.267, 5, -0.4, 0.2, 4? -0.4 Which is the fourth smallest value? (a) -10 (b) -32 (c) 5/3 (d) -0.3 c Which is the second biggest value? (a) -3 (b) 0.5 (c) 1/3 (d) -0.08 (e) 7 (f) -2/15 b Which is the biggest value? (a) -744/11 (b) 1 (c) -1.6 b Which is the biggest value? (a) 942 (b) -0.5 (c) 2/5 a Which is the biggest value? (a) 1 (b) 0.75 (c) -13.1 a What is the third smallest value in -0.3, 2, -62.3? 2 Which is the smallest value? (a) -20 (b) 0.5 (c) 16 a What is the second smallest value in -1476, 1/3, -2/167, -2? -2 Which is the fifth smallest value? (a) -2/3 (b) 2/109 (c) -1.75 (d) -0.14 (e) 1/9 e What is the second biggest value in -5/4, -14, -1/65? -5/4 What is the smallest value in 15, -0.2, 0.5, -0.10519? -0.2 Which is the fifth smallest value? (a) -4 (b) 0.98 (c) 2 (d) 4 (e) 15 e What is the third smallest value in -0.5, 2/7, 44259? 44259 What is the second biggest value in -1, -1152, -0.2, -14? -1 What is the sixth biggest value in 1/3, 14, 13/6, -4, 5, 9? -4 What is the smallest value in 0.1, -5, -152, -338, 0? -338 What is the biggest value in 11/3, 0.051, 1/4, 14, 0.1? 14 What is the fourth smallest value in 4/5, -2/5, -0.224, 4, 0.2, 15? 4/5 Which is the smallest value? (a) -2.4 (b) -2/9 (c) -1/4 (d) -4 (e) -0.3 (f) 59 d What is the fourth biggest value in 5, -59/42, -4, 2/5? -4 What is the second smallest value in -26, -2/3, -3, -0.5, -5? -5 What is the fourth biggest value in -5, 1.4, 1, -1/9, 0.002? -1/9 What is the third biggest value in -0.439, -2/9, -7? -7 What is the biggest value in 4, 0.1, -0.4, 1159, 0, -3? 1159 Which is the fourth biggest value? (a) 2542 (b) -5 (c) -1/5 (d) -1/2 (e) 3 d Which is the third smallest value? (a) -1.4 (b) 137/4 (c) -3/14 b Which is the third smallest value? (a) -48/11 (b) -0.11 (c) -0.122 b Whi
{ "pile_set_name": "DM Mathematics" }
re between 7:32 AM and 3:37 PM? 485 How many minutes are there between 4:34 AM and 10:33 AM? 359 What is 302 minutes after 2:39 PM? 7:41 PM How many minutes are there between 2:28 PM and 3:21 PM? 53 What is 184 minutes before 5:22 AM? 2:18 AM How many minutes are there between 3:35 AM and 10:06 AM? 391 How many minutes are there between 1:54 AM and 7:54 AM? 360 How many minutes are there between 2:17 PM and 3:09 PM? 52 How many minutes are there between 1:22 PM and 8:10 PM? 408 How many minutes are there between 11:39 PM and 9:36 AM? 597 What is 679 minutes before 3:42 AM? 4:23 PM What is 664 minutes after 8:11 AM? 7:15 PM How many minutes are there between 8:02 PM and 4:42 AM? 520 How many minutes are there between 4:57 PM and 6:06 PM? 69 How many minutes are there between 4:53 PM and 7:29 PM? 156 What is 204 minutes before 6:31 AM? 3:07 AM How many minutes are there between 6:31 AM and 3:50 PM? 559 How many minutes are there between 2:25 PM and 1:32 AM? 667 What is 160 minutes before 2:22 PM? 11:42 AM How many minutes are there between 6:34 PM and 10:40 PM? 246 How many minutes are there between 4:55 PM and 7:40 PM? 165 How many minutes are there between 12:32 PM and 7:57 PM? 445 What is 552 minutes before 10:09 PM? 12:57 PM What is 429 minutes after 9:43 AM? 4:52 PM How many minutes are there between 1:00 PM and 5:09 PM? 249 How many minutes are there between 11:40 AM and 4:32 PM? 292 How many minutes are there between 5:01 PM and 4:17 AM? 676 What is 401 minutes before 12:50 AM? 6:09 PM How many minutes are there between 6:19 PM and 7:00 PM? 41 How many minutes are there between 8:41 PM and 4:04 AM? 443 What is 366 minutes before 6:35 AM? 12:29 AM How many minutes are there between 1:24 PM and 9:11 PM? 467 How many minutes are there between 7:15 PM and 6:46 AM? 691 How many minutes are there between 7:18 AM and 7:03 PM? 705 What is 76 minutes after 6:05 PM? 7:21 PM What is 279 minutes after 12:25 AM? 5:04 AM What is 243 minutes after 11:36 AM? 3:39 PM What is 539 minutes after 9:20 AM? 6:19 PM How many minutes are there between 2:06 AM and 4:28 AM? 142 How many minutes are there between 12:11 AM and 5:52 AM? 341 What is 167 minutes before 6:10 PM? 3:23 PM How many minutes are there between 9:29 PM and 2:56 AM? 327 What is 462 minutes after 11:46 AM? 7:28 PM How many minutes are there between 1:29 AM and 5:25 AM? 236 What is 693 minutes after 5:56 AM? 5:29 PM What is 466 minutes after 5:11 AM? 12:57 PM How many minutes are there between 2:53 PM and 2:57 PM? 4 How many minutes are there between 4:27 PM and 6:46 PM? 139 How many minutes are there between 12:08 PM and 12:46 PM? 38 What is 154 minutes before 2:48 PM? 12:14 PM How many minutes are there between 12:08 PM and 4:47 PM? 279 What is 217 minutes before 7:30 AM? 3:53 AM What is 318 minutes before 12:31 PM? 7:13 AM How many minutes are there between 3:45 AM and 6:17 AM? 152 How many minutes are there between 6:16 PM and 12:00 AM? 344 How many minutes are there between 1:53 PM and 6:02 PM? 249 What is 410 minutes before 6:27 PM? 11:37 AM What is 372 minutes after 9:24 PM? 3:36 AM How many minutes are there between 4:31 PM and 7:53 PM? 202 How many minutes are there between 10:09 AM and 3:05 PM? 296 What is 82 minutes after 10:21 AM? 11:43 AM How many minutes are there between 12:36 PM and 8:52 PM? 496 What is 520 minutes after 1:30 PM? 10:10 PM What is 474 minutes before 1:26 PM? 5:32 AM How many minutes are there between 11:27 AM and 3:24 PM? 237 How many minutes are there between 9:07 PM and 10:57 PM? 110 What is 327 minutes before 10:48 AM? 5:21 AM How many minutes are there between 5:10 PM and 11:44 PM? 394 How many minutes are there between 2:10 AM and 6:40 AM? 270 What is 429 minutes before 6:42 PM? 11:33 AM What is 323 minutes after 7:06 PM? 12:29 AM What is 4 minutes after 6:52 PM? 6:56 PM How many minutes are there between 3:20 AM and 11:08 AM? 468 How many minutes are there between 5:37 PM and 4:29 AM? 652 What is 270 minutes after 11:22 AM? 3:52 PM What is 430 minutes after 9:15 PM? 4:25 AM How many minutes are there between 11:01 AM and 9:53 PM? 652 What is 670 minutes after 9:38 PM? 8:48 AM How many minutes are there between 5:55 AM and 3:28 PM? 573 How many minutes are there between 4:04 PM and 6:37 PM? 153 What is 102 minutes after 4:50 PM? 6:32 PM What is 54 minutes after 7:03 PM? 7:57 PM What is 705 minutes before 7:11 PM? 7:26 AM How many minutes are there between 5:38 PM and 8:49 PM? 191 How many minutes are there between 1:40 AM and 1:28 PM? 708 How many minutes are there between 7:45 PM and 4:48 AM? 543 What is 474 minutes before 8:33 AM? 12:39 AM What is 670 minutes after 10:25 AM? 9:35 PM How many minutes are there between 8:39 PM and 5:48 AM? 549 How many minutes are there between 3:40 AM and 5:22 AM? 102 How many minutes are there between 10:21 PM and 7:59 AM? 578 What is 360 minutes before 8:35 PM? 2:35 PM What is 618 minutes before 6:32 AM? 8:14 PM What is 623 minutes after 4:39 AM? 3:02 PM How many minutes are there between 5:43 AM and 1:25 PM? 462 What is 243 minutes before 7:42 AM? 3:39 AM How many minutes are there between 4:05 PM and 8:57 PM? 292 What is 709 minutes after 10:35 AM? 10:24 PM What is 14 minutes after 3:12 PM? 3:26 PM What is 547 minutes after 9:28 AM? 6:35 PM What is 609 minutes before 2:02 AM? 3:53 PM How many minutes are there between 9:00 AM and 1:51 PM? 291 How many minutes are there between 3:29 PM and 11:34 PM? 485 How many minutes are there between 8:45 PM and 7:45 AM? 660 How many minutes are there between 10:31 AM and 5:39 PM? 428 How many minutes are there between 2:46 PM and 6:29 PM? 223 How many minutes are there between 2:23 PM and 1:44 AM? 681 What is 592 minutes after 1:01 PM? 10:53 PM How many minutes are there between 2:29 AM and 8:10 AM? 341 What is 419 minutes after 10:58 AM? 5:57 PM How many minutes are there between 8:31 AM and 3:09 PM? 398 How many minutes are there between 8:19 AM and 8:01 PM? 702 How many minutes are there between 7:45 AM and 3:46 PM? 481 What is 597 minutes after 7:47 AM? 5:44 PM What is 682 minutes before 7:08 AM? 7:46 PM How many minutes are there between 9:17 PM and 9:06 AM? 709 What is 504 minutes after 11:47 PM? 8:11 AM How many minutes are there between 5:24 AM and 5:23 PM? 719 What is 667 minutes after 8:30 PM? 7:37 AM How many minutes are there between 12:15 AM and 2:16 AM? 121 What is 514 minutes before 6:03 AM? 9:29 PM How many minutes are there between 10:14 AM and 1:36 PM? 202 What is 71 minutes after 8:47 PM? 9:58 PM What is 709 minutes before 6:45 AM? 6:56 PM How many minutes are there between 6:17 AM and 3:29 PM? 552 What is 458 minutes before 10:01 AM? 2:23 AM What is 238 minutes after 8:11 AM? 12:09 PM How many minutes are there between 8:01 AM and 9:10 AM? 69 How many minutes are there between 7:39 AM and 10:43 AM? 184 How many minutes are there between 4:18 PM and 1:08 AM? 530 What is 430 minutes before 4:13 PM? 9:03 AM What is 631 minutes before 5:57 AM? 7:26 PM How many minutes are there between 7:09 PM and 5:04 AM? 595 How many minutes are there between 6:08 PM and 8:54 PM? 166 What is 420 minutes before 5:21 AM? 10:21 PM How many minutes are there between 1:24 AM and 6:47 AM? 323 What is 386 minutes before 12:51 AM? 6:25 PM How many minutes are there between 8:33 PM and 11:09 PM? 156 How many minutes are there between 8:57 AM and 2:52 PM? 355 What is 597 minutes before 10:09 AM? 12:12 AM How many minutes are there between 2:05 AM and 10:26 AM? 501 How many minutes are there between 1:16 AM and 8:24 AM? 428 How many minutes are there between 4:00 AM and 9:09 AM? 309 How many minutes are there between 5:22 PM and 2:08 AM? 526 What is 623 minutes after 12:04 PM? 10:27 PM What is 135 minutes before 9:18 AM? 7:03 AM How many minutes are there between 4:39 AM and 12:49 PM? 490 What is 405 minutes after 10:02 AM? 4:47 PM What is 41 minutes after 3:33 AM? 4:14 AM What is 691 minutes before 7:18 PM? 7:47 AM How many minutes are there between 2:15 AM and 5:00 AM? 165 What is 127 minutes before 7:29 AM? 5:22 AM How many minutes are there between 4:29 AM and 9:29 AM? 300 What is 127 minutes before 8:09 AM? 6:02 AM What is 170 minutes before 2:36 AM? 11:46 PM What is 317 minutes before
{ "pile_set_name": "DM Mathematics" }
-n, -x = 3*n + 7. Let b = 1292 + -895. Suppose -l - 74 = -h, 0*h = x*h + 4*l - b. Is h prime? False Let l(y) = 508*y**2 - y - 8. Is l(3) prime? True Suppose -2*g - 343 = 2*x - 1069, -5*g = -20. Is x composite? False Suppose -5*u + 2*u = -2*x - 22, 4*u + 3*x - 1 = 0. Suppose 17 = v + 2. Suppose -u*h + 3*h = -v. Is h composite? True Suppose -6*g + g + 290 = 0. Suppose 0 = v - 5*p - g, 2*p + 53 = v - 2*p. Is v a composite number? True Suppose 215 = z - m, 0*z + 215 = z + 4*m. Is z prime? False Suppose 2*i = -4*v + 24, 5*i + 17 + 1 = 3*v. Suppose -o + v = o. Let j = 22 - o. Is j a prime number? True Let y = -38 + -51. Let h = y + 126. Is h prime? True Let a(n) = -4*n - 29. Let z be a(-8). Let p(f) be the first derivative of 5*f**2/2 + 4*f - 1. Is p(z) a composite number? False Let h(n) = 6*n**3 - 2*n**2 - 4. Let j be h(3). Let f = j + 77. Is f prime? False Let u = -32 - -245. Is u a composite number? True Is 3/(-15)*0 + 1507 composite? True Let g(f) be the first derivative of f**3 - f**2/2 - 3*f + 4. Let h = 8 + -14. Is g(h) composite? True Let k = 14 + 14. Suppose 0 = -c - 3*z + 23, -5*c + 70 = 4*z + 10. Is (3 - 1)*k/c prime? True Let z(f) = -160*f**2 - 5*f + 2. Let r(s) = s - 1. Let m(u) = -3*r(u) - z(u). Is m(-1) composite? True Let p(z) = -17*z**3 - 3*z**2 - 2*z + 1. Let j be p(-2). Suppose -t + 0*t + 36 = d, -4*t - d + j = 0. Is t composite? False Suppose 4*p = 268 + 80. Let o = p - 49. Is o a composite number? True Suppose -4*a - 9 = -7*a. Suppose a*b - 62 - 49 = 0. Is b prime? True Let h be 13 - (1 + 1)/2. Suppose h = 5*s - 3. Is s prime? True Suppose 0 = j - 2, 2*t - 6*j + 2*j = 52. Suppose -v + 2*g = -107 - t, -v + g = -132. Is v composite? False Suppose 7*t = 3*t - 1596. Let w be t/(-4) - (-8)/32. Let i = -33 + w. Is i prime? True Suppose t = -z + 4, t = 6*t + 4*z - 15. Let u = 3 - -10. Is (u/3)/(t/(-21)) a prime number? False Let o(y) be the second derivative of y**4/6 + y**3 + y**2/2 - 2*y. Let x be o(-5). Is -3 + 3 + x + -2 a composite number? False Let v = 139 + -80. Is v prime? True Suppose 5*w = -4*f + 2241, 4*w = 8*w + 2*f - 1794. Is w a composite number? False Let y = 1010 + -511. Is y prime? True Let v be 4*(2 + -5)/(-6). Is (-155)/(-3) + v/(-3) a composite number? True Is (-6 - -9) + 212/2 a composite number? False Let t = 131 - 22. Is t a prime number? True Let a be ((-312)/18)/(4/(-6)). Let s = 60 - a. Is s a prime number? False Suppose 0 = 2*r + r - 93. Is r a composite number? False Let z be 0 + -1 + -7 + 2. Let t = -10 - z. Let d(s) = -s**2 - 8*s + 5. Is d(t) a prime number? False Is 1*(1 - 2)*-35 a prime number? False Is (2 + 7)/3 + 32 prime? False Let t(f) = -f**2 - 8*f + 14. Let y be t(-10). Let u(j) be the third derivative of j**5/20 - j**4/24 + 5*j**3/6 - j**2. Is u(y) a composite number? True Suppose 0 = -2*q - 5*c + 5 + 16, q - 2*c = 33. Is q composite? False Let u(h) = -404*h + 21. Is u(-5) prime? False Suppose 0 = 3*i - 2*v - 7497, -i + 2*v - 3*v = -2494. Is i a composite number? True Let s = -73 - -342. Is s prime? True Let y = 414 - -762. Suppose 4*q - 5*d - y - 772 = 0, -3*d = 0. Is q composite? False Suppose 4*r - w + 36 - 7 = 0, -2*w = -r - 16. Let l be (6/(-4))/((-1)/r). Is ((-30)/l + -2)*3 composite? True Suppose -5*d = -4*o - 15, 5*d + 2*o - 21 - 24 = 0. Suppose g + 4*g - 40 = 0. Let j = d + g. Is j a composite number? True Let u(y) = 4*y**2 - 2*y - 6. Let o be u(-4). Suppose -5*p = 4*v - 376 + 109, o = v + 2*p. Suppose -v = -0*m - 2*m. Is m a prime number? False Let b = 692 - 464. Suppose 2*t + 2*s = -2*t + 216, 0 = 4*t - 4*s - b. Is t prime? False Suppose -3*z = -1839 - 0. Is z composite? False Suppose 133 + 237 = 5*f. Is f a composite number? True Let z(p) = p - 1. Let u be z(1). Let h = u - -23. Let x = 34 - h. Is x prime? True Let m(y) = -y**3 - 12*y**2 - 7*y + 4. Let b(r) = -r**2 + 2*r + 3. Let c be b(-3). Let k be m(c). Suppose t = -3*t + k. Is t a prime number? False Let i be 1/(-2) + (-1)/(-2). Suppose 2*y = -i*y. Suppose -j - d + 17 = y, j - 2*d - 20 - 9 = 0. Is j a composite number? True Let y(w) = w**3 + 6*w**2 + w - 3. Is y(-3) a prime number? False Let h(b) be the second derivative of -28*b**3/3 - b**2/2 - 4*b. Is h(-1) composite? True Let s = 1 + -4. Let m be 3/((s/62)/(-3)). Suppose -i - 2*i + 3*o = -m, -4*i = -o - 257. Is i a prime number? False Let j(k) = -2*k - 2. Let a(g) = -g - 2. Suppose 9 = 5*h - 16, -5*h = -2*y - 19. Let t(m) = y*a(m) - 4*j(m). Is t(4) a prime number? False Suppose 0 = k - 12 + 8. Suppose 2*p = 5*m + 650, -k*p - 4*m = -9*m - 1320. Is p prime? False Let o = 17 + -12. Let s be (-4 + o)*(1 + -2). Is s + 3/((-3)/(-38)) a prime number? True Suppose -q - 4705 = -4*m, m - 951 - 204 = -4*q. Let y = m + -697. Suppose 5*g = 1263 - y. Is g composite? False Let l(i) = 487*i**2 + 6*i - 15. Is l(2) a prime number? False Suppose -3*m + 5*m - 114 = 0. Is m a composite number? True Let x(p) = p + 586. Is x(0) a composite number? True Let v(b) = -2*b - 1 - 5 + 1. Is v(-7) a composite number? True Is 66 - (6/(-3))/2 a prime number? True Let m = 0 - 2. Let k = m - 1. Is (-221)/k + 2/6 prime? False Let r(m) = -24*m - 11. Is r(-13) composite? True Is 42/(-252) - 22814/(-12) prime? True Let r be (-2)/4 + (-53)/(-2). Let b = -18 + r. Let w(k) = k**3 - 6*k**2 - 4*k + 1. Is w(b) prime? True Let v(g) = -635*g**3 - 6*g - 6. Let x(z) = -127*z**3 - z - 1. Let f(b) = -2*v(b) + 11*x(b). Is f(-1) a composite number? False Is (-2)/(-6) + (-11208)/(-18) + -4 a prime number? True Let w = -29 - 312. Let d = w + 496. Is d composite? True Suppose 0 = -3*a + 12, -4*q + q + 3*a + 1161 = 0. Is q a composite number? True Suppose 2*q + 1473 = 5*l, -4*l - 368 = 5*q - 1520. Is l prime? True Suppose -10*x + 3830 + 260 = 0. Is x a composite number? False Suppose -2*u = -4*r + 2, 2*r - 2 = -r + 2*u. Suppose r = 2*z - 48 + 10. Is z a composite number? False Let d(z) = -z**3 - 5*z**2 + z + 7. Let c be d(-5). Suppose -x + 5*h + 0*h + 20 = 0, -3*x - c*h - 8 = 0. Suppose x = 5*s - 154 + 59. Is s a composite number? False Let j = -620 - -936. Is (2/(-4))/((-2)/j) composite? False Is -4 - ((-4851)/3)/3 a prime number? False Suppose -4*c = -5*c. Suppose g = -c*g + 253. Let v = g + -66. Is v composite? True Let z(x) = -x**3 - x**2 + 2*x. Let k be z(-2). Suppose k = -0*c - 5*c + 305. Suppose m + c = 222. Is m composite? True Suppose r - 9 = 5*h, -2*r + 6 = -r - 2*h. Suppose 2*w + 4*i = r*w - 26, 2*w - 3*i - 22 = 0. Suppose 5*t + w*q = 810, -2*q - 2*q = 4. Is t prime? True Is (5 - 5) + (-339)/(-1) prime? False Let a(n) = n**2 - n + 4. Let k be a(0). Suppose -30 = -5*j + 2*o + 5, -5*j + k*o = -25. Is j a composite number? True Let o(w) = -9*w**2 + 5*w**3 - w**3 - 3*w**3 + 4*w + 7 - w. Let h be o(9). Is (h/8)/((-2)/(-16)) composite? True Let o(s) = 13 - 22 - 3*s + 10*s. Let l be o(7). Suppose -6*k + 2*k = -l. Is k a prime number? False Suppose -3*b = 4*k - 2044, -k - 2*b = -2*k + 522. Is k/8 + 21/28 a prime number? False Let b be (-2)/(-3)*9/(-6). Let y be (3 + b/1)/1. Suppose 0 = 3*d - 3*n - 216, 0 = -7*d + y*d - 5*n + 410. Is d a composite number? True Let f = 5 - 18. Suppose -4*x = -5*w + 48, -x - w + 13 = 4*w. Let s = x - f. Is s composite? True Let r = 13 - 61. Let o be (r/10 - -2)*-5. Let y = o - 7. Is y a composite number? False Suppose -190 = -3*v - 5*p, 75 = v + p + 3*p. Is v composite? True Let y = 501 - 134. Is y a composite number? False Let z(g) = -61*g. Let l be z(-9). Suppose y - 212 = l. Is y prime? True Suppose 16*q = 18*q - 62. Is q prime? True Suppose 2*h - 141 = 149. Is h a prime number? False Suppose 2*o = 2*y - 3594, -y + 967 + 846 = 3*o. Is y a prime number? True Let j(t) = -5*t**2 - 8*t + 7. Let f be j(-5). Let l be 0/2 - 0 - -191. Let y = l + f. Is y composite? False Let r(k) be the second derivative of -k**4/12 - k**3/6 + k**2/2 + k. Let u be r(-2). Let j(v) = -24*v + 1. Is j(u) a composite number? True Let z(m) = 4 - 4*m**2 - 3 + m**3 - 7*m**3. Is z(-3) a prime number? True Let a(x) = x**3 - 7*x**2 + 8*x + 1. Is a(6) composite? False Suppose -4*l + 0 = 4. Let w(v) = 9*v**2 + v. Let r be w(l). Is (10/8)/(1/r) prime? False Let l = -79 - -75. Let v be (-14)/((12/(-74))/3). Is l*v*1/(-4) prime? False Let k(o) = 354*o + 5. Is k(3) prime? False Let w(v) = 5*v**3 + 2*v + 2. Let b(f) = -11*f**3 - 4*f -
{ "pile_set_name": "DM Mathematics" }
}. What is prob of picking 3 r? 1/20 What is prob of picking 1 k and 1 q when two letters picked without replacement from {u: 1, i: 1, y: 2, q: 2, k: 1}? 2/21 Four letters picked without replacement from ggqggggg. Give prob of picking 1 q and 3 g. 1/2 Calculate prob of picking 1 p and 3 d when four letters picked without replacement from {d: 4, p: 2}. 8/15 Calculate prob of picking 3 i when three letters picked without replacement from {w: 2, i: 7, h: 2}. 7/33 Three letters picked without replacement from {p: 3, k: 3, i: 1}. What is prob of picking 3 p? 1/35 Calculate prob of picking 1 s, 1 f, and 2 t when four letters picked without replacement from {t: 4, f: 2, v: 2, s: 2}. 4/35 Four letters picked without replacement from plgplgpp. Give prob of picking 2 l and 2 p. 3/35 Three letters picked without replacement from eeeemememeeemeeemee. What is prob of picking 2 m and 1 e? 140/969 Four letters picked without replacement from gmygggsmgmmmmgymsm. Give prob of picking 3 g and 1 m. 8/153 Calculate prob of picking 1 i and 2 y when three letters picked without replacement from yiy. 1 Two letters picked without replacement from {v: 4, m: 2}. What is prob of picking 2 v? 2/5 Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {j: 1, k: 5, g: 2, a: 1, o: 1}. 1/45 Two letters picked without replacement from peeeep. Give prob of picking 2 e. 2/5 Two letters picked without replacement from {f: 7, y: 10, r: 1}. What is prob of picking 1 y and 1 r? 10/153 Three letters picked without replacement from {k: 2, d: 10, c: 4, v: 4}. Give prob of picking 2 v and 1 c. 2/95 What is prob of picking 3 l and 1 k when four letters picked without replacement from {w: 6, k: 1, l: 11}? 11/204 What is prob of picking 2 b when two letters picked without replacement from {d: 17, b: 2}? 1/171 What is prob of picking 1 u and 1 d when two letters picked without replacement from oddddwwodoududd? 16/105 Two letters picked without replacement from {u: 3, p: 9}. What is prob of picking 2 p? 6/11 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from hhejheh. 2/21 Calculate prob of picking 3 s when three letters picked without replacement from eeeseeesesseeeeseee. 10/969 Three letters picked without replacement from hqkukqk. Give prob of picking 1 k, 1 h, and 1 q. 6/35 What is prob of picking 3 i when three letters picked without replacement from {i: 5, h: 5, b: 1}? 2/33 Calculate prob of picking 2 d and 1 s when three letters picked without replacement from {s: 5, d: 15}. 35/76 Four letters picked without replacement from {f: 9, h: 2, z: 6}. What is prob of picking 1 f and 3 z? 9/119 What is prob of picking 2 a when two letters picked without replacement from {y: 3, t: 1, a: 4, r: 2}? 2/15 What is prob of picking 2 f when two letters picked without replacement from {g: 4, f: 2, k: 2, w: 2}? 1/45 Calculate prob of picking 1 w, 1 z, and 2 h when four letters picked without replacement from {u: 3, h: 4, w: 4, z: 3}. 72/1001 Calculate prob of picking 1 e and 1 n when two letters picked without replacement from nbkve. 1/10 Calculate prob of picking 1 c, 2 r, and 1 p when four letters picked without replacement from {p: 8, j: 1, r: 2, q: 3, c: 1, z: 1}. 2/455 Two letters picked without replacement from aazzvavavv. What is prob of picking 2 v? 2/15 Two letters picked without replacement from {x: 1, w: 4, m: 2, j: 2}. What is prob of picking 1 w and 1 j? 2/9 What is prob of picking 1 f and 1 j when two letters picked without replacement from {t: 3, f: 4, e: 1, y: 9, j: 1}? 4/153 Four letters picked without replacement from gvltggssg. What is prob of picking 1 t, 2 s, and 1 g? 2/63 What is prob of picking 2 g when two letters picked without replacement from gkkkkkgkkgkkgggkkkg? 7/57 Three letters picked without replacement from vcgzv. Give prob of picking 1 v, 1 g, and 1 c. 1/5 Four letters picked without replacement from mmfpfpmfpmpmmmf. Give prob of picking 4 f. 1/1365 Three letters picked without replacement from {a: 6, r: 2, g: 4, p: 1, w: 7}. What is prob of picking 1 g, 1 a, and 1 w? 14/95 What is prob of picking 3 p when three letters picked without replacement from {g: 8, p: 4, l: 8}? 1/285 What is prob of picking 1 z, 1 l, and 2 m when four letters picked without replacement from jclezemljmzlll? 10/1001 Two letters picked without replacement from ppupppppppupp. What is prob of picking 1 u and 1 p? 11/39 Two letters picked without replacement from {t: 4, g: 9, i: 3}. Give prob of picking 2 i. 1/40 Three letters picked without replacement from slmmojsjmojmuj. Give prob of picking 2 m and 1 l. 3/182 Four letters picked without replacement from iiieiiieiiiiie. What is prob of picking 2 i and 2 e? 15/91 Two letters picked without replacement from {v: 5, s: 2, l: 4, y: 2}. What is prob of picking 2 v? 5/39 Two letters picked without replacement from {a: 1, w: 2, t: 1, r: 2}. What is prob of picking 1 w and 1 a? 2/15 Four letters picked without replacement from {o: 5, q: 4, w: 3}. What is prob of picking 3 o and 1 q? 8/99 Two letters picked without replacement from extxnpaen. Give prob of picking 1 n and 1 p. 1/18 Three letters picked without replacement from ccccccccccqccccccccq. Give prob of picking 2 c and 1 q. 51/190 What is prob of picking 1 w, 1 x, and 1 l when three letters picked without replacement from {w: 4, x: 2, n: 8, a: 1, l: 4, y: 1}? 8/285 Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, e: 1, f: 6, n: 1, y: 2}. 1/66 What is prob of picking 1 v and 1 y when two letters picked without replacement from {q: 2, v: 1, y: 2, c: 1}? 2/15 Calculate prob of picking 2 i when two letters picked without replacement from iiviviivvv. 2/9 Calculate prob of picking 2 p when two letters picked without replacement from czccppppcecccpzc. 1/12 Four letters picked without replacement from {u: 1, l: 2, p: 1, t: 1, y: 2, x: 2}. Give prob of picking 2 x, 1 t, and 1 p. 1/126 Four letters picked without replacement from bbyyvvbbvddyvyv. Give prob of picking 4 v. 1/273 Calculate prob of picking 1 f and 2 g when three letters picked without replacement from fffgfggfgffgg. 105/286 Three letters picked without replacement from hntaaandnataattaotad. What is prob of picking 1 n and 2 d? 1/380 Four letters picked without replacement from qisveqsi. What is prob of picking 1 e, 2 s, and 1 v? 1/70 Three letters picked without replacement from {d: 1, w: 1, f: 1, b: 1, j: 1}. What is prob of picking 1 d, 1 w, and 1 j? 1/10 Calculate prob of picking 1 r and 1 d when two letters picked without replacement from aqdraiqaqqqaaa. 1/91 What is prob of picking 2 m and 1 b when three letters picked without replacement from {m: 10, b: 1, x: 2, q: 4, h: 2}? 15/323 Calculate prob of picking 3 c when three letters picked without replacement from yccsuycysjscuusscyu. 10/969 Two letters picked without replacement from {w: 2, y: 10, b: 1, q: 1}. Give prob of picking 1 w and 1 b. 2/91 Four letters picked without replacement from {u: 3, v: 1, x: 3, f: 4, l: 5, c: 4}. Give prob of picking 2 u, 1 c, and 1 x. 12/1615 Three letters picked without replacement from {l: 1, u: 2, s: 1}. What is prob of picking 1 u and 2 l? 0 Two letters picked without replacement from nnqcocqcoc. Give prob of picking 1 o and 1 c. 8/45 Three letters picked without replacement from guuguguggguuug. Give prob of picking 1 g and 2 u. 21/52 Calculate prob of picking 4 m when four letters picked without replacement from jmwmmemjjwj. 1/330 What is prob of picking 3 a and 1 p when four letters picked without replacement from pppppppaapaappapppp? 35/969 Two letters picked without replacement from mmmmzmzzzmmzmzzmzz. What is prob of picking 2 z? 4/17 Four letters picked without replacement from feoowwowoiewwew. What is prob of picking 3 o and 1 f? 4/1365 Four letters picked without replacement from ddccgcddcc. Give prob of picking 2 d and 2 c. 2/7 What is prob of picking 2 n when two letters picked without replacement from {l: 3, x: 1, h: 1, p: 1, n: 8, i: 2}? 7/30 Calculate prob of picking 2 p and 1 o when three letters picked without replacement from hhophhddphopd. 3/143 Three letters picked without replacement from eepefwwwwpgppl. What is prob of picki
{ "pile_set_name": "DM Mathematics" }
o = -1.12 - -1.3. Let m = o - 0.1800038. Round m to six decimal places. -0.000004 Let a = 89.9914 - 90. Round a to 3 dps. -0.009 Let s = 0.4 - -0.2. Let h = 0.12 - s. Let p = h - 0.17. What is p rounded to 1 dp? -0.7 Let w be (-187196)/(-8) - 3/(-6). Round w to the nearest 1000. 23000 Let k = -0.37 + 0.3678. What is k rounded to 3 decimal places? -0.002 Suppose 0 = -s + 12471 + 17582. Let b = 48053 - s. Round b to the nearest ten thousand. 20000 Let v = 101.32856 + -97.328. Let y = v + -4. What is y rounded to 4 decimal places? 0.0006 Let m = 0 - 1. Let i(y) = -340001*y - 1. Let f be i(m). Round f to the nearest 100000. 300000 Let t(x) = x**3 + 3*x**2 - 11*x - 6. Let f be t(-7). Let b = 955 + f. What is b rounded to the nearest 100? 800 Let v = 85.0049 - 85. Round v to three dps. 0.005 Let y = -494.7544 - -495. Let n = 3.25 + -3. Let p = n - y. Round p to three dps. 0.004 Let s = -0.0390037 + 0.039. What is s rounded to 6 decimal places? -0.000004 Let c(s) = -1604*s**3 + 11*s**2 - 4*s - 4. Let l be c(7). Suppose z = -4, -z - 1183815 = 5*g - 6332136. Let r = g + l. Round r to the nearest 100000. 500000 Let b = -26.45 - -27. Let l = 0.549868 - b. What is l rounded to five decimal places? -0.00013 Let r be 12*6*600000/(-9). What is r rounded to the nearest one million? -5000000 Let z = 47.999994 + -48. Round z to five dps. -0.00001 Let t = -6.01 - -6. Let a = 0.03 + t. What is a rounded to one decimal place? 0 Let a = 1165997 + -2365997. Round a to the nearest one hundred thousand. -1200000 Suppose -3*b + 0*u = u - 15999, -2*u + 10670 = 2*b. Let n(v) = 0*v + b*v**2 + 5*v - v. Let q be n(3). Round q to the nearest 10000. 50000 Let h = 0.26 + 1.44. Let z = 2.14 + 0.1. Let u = h - z. What is u rounded to one decimal place? -0.5 Suppose -2*i = -0 - 32. Suppose n = -2*j + 12, -3*n + 12 = -2*j - i. Let u be (8/n)/((-1)/500). Round u to the nearest 1000. 0 Let s be (-26)/(-39)*(-360)/2. What is s rounded to the nearest 100? -100 Let q = 1 - 3. Let h be q + (3 - (-2 - 1)). Suppose r = -t - 2*t - 5699998, -h*r - 9499992 = 5*t. What is t rounded to the nearest one million? -2000000 Let q = 28533761234941 - 28533785211882.9999937. Let u = 23976937 + q. Let h = -5 - u. Round h to six decimal places. -0.000006 Let o = 566 - 303. Let j be 1000*((-2 - -4) + o). Suppose -2*c = 3*c - j. Round c to the nearest 10000. 50000 Let y be (-26)/(102/105 + -1). Let f = y + 887. Let v be 10/(f/1800 + -1). What is v rounded to the nearest one thousand? -6000 Let t(a) be the first derivative of 19*a**3/3 - 4*a**2 + 13*a - 3. Let d be t(-7). What is d rounded to the nearest one thousand? 1000 Let o = 170 - 170.00091. Round o to four decimal places. -0.0009 Let f = 548310 + -228310. Round f to the nearest 100000. 300000 Suppose a + 3*u = -25080, 2*u + 125452 = -0*a - 5*a. Let p = a - -37180. Let o = p + -7388. What is o rounded to the nearest one thousand? 5000 Let z = 888 - 764.8. Let j = z - 13.2. Let w = j + -103.7. What is w rounded to zero decimal places? 6 Let b be (5 + -6)/(1 + 0). Let h be (-254 + (3 - b))*-3160. What is h rounded to the nearest one hundred thousand? 800000 Suppose 7*a = 3*a + 840000. What is a rounded to the nearest one hundred thousand? 200000 Suppose 3*f = 8*f + 1035. Let t be f/6 + (-3)/(-6). Let o = t + 71. Round o to the nearest 10. 40 Let y = -80.74 - -82. Round y to 1 decimal place. 1.3 Let d = -352.841 + 353. Round d to 1 dp. 0.2 Let l = -2952.446 + 2936.39853. Let x = l - -1.04792. Let j = 15 + x. Round j to 4 decimal places. 0.0005 Suppose 10 = -2*k - 2. Let d be -1 + 49 - (4 + k). What is d rounded to the nearest one hundred? 100 Let y = 10 + 24. Let g = 627 - 663.9. Let r = y + g. Round r to zero decimal places. -3 Let b = -0.7378 - -0.0248. What is b rounded to 2 dps? -0.71 Let g(d) = -d**3 - 2*d**2 + d - 2. Let w be g(-3). Suppose w*b = 5*t - 26395, -2*b + 2*t = -3*b - 6602. Round b to the nearest 1000. -7000 Let j = -0.062 - -0.05. What is j rounded to two dps? -0.01 Let k = 13422.91 + -13422.95999976. Let z = k + 0.05. What is z rounded to seven decimal places? 0.0000002 Suppose t + 3*l - 1397 = 2*l, 0 = -3*t - l + 4197. Round t to the nearest one thousand. 1000 Let y = 10.9657707 + -10.41577097. Let h = y - 0.55. Round h to seven dps. -0.0000003 Let s(x) be the second derivative of -533333*x**3/6 + x**2/2 + 2*x. Let n be s(-3). Suppose -3*y = -2*y + n. What is y rounded to the nearest 1000000? -2000000 Let q = -1.8 - -1.80003. What is q rounded to six dps? 0.00003 Suppose 0 = 5*a - 12 - 28. Let n(w) = 236*w + 8. Let u be n(a). Let b be u/21 + 6/(-21). What is b rounded to the nearest 10? 90 Let q = 38 + -53. Let w be (24/q)/(6/(-15)). Suppose b + w*b - 1500 = 0. Round b to the nearest 1000. 0 Let o = 430 - 272. Let s = -158.000079 + o. What is s rounded to five dps? -0.00008 Let j = -3319 + 934. Let r = j - -2397.982. Let p = r + -13. What is p rounded to two decimal places? -0.02 Let b = -0.211 - -0.2110777. What is b rounded to five decimal places? 0.00008 Let p = -0.886 - -0.026. Let d = p - -11.26. What is d rounded to zero decimal places? 10 Let t = 1.129 + -1.1289451. What is t rounded to 5 dps? 0.00005 Suppose -7 = -3*u - 1. Suppose -2*n = -i + u*i + 38, -35 = i + 5*n. What is i rounded to the nearest one hundred? 0 Let y(a) = 104003*a + 5. Let g(b) = 208007*b + 10. Let p(t) = 2*g(t) - 5*y(t). Let z be p(-5). Round z to the nearest one hundred thousand. 500000 Let m = 134410 + 45589. Let t(r) = 4 - 4 - 5 - m*r. Let o be t(5). What is o rounded to the nearest 100000? -900000 Let x = 1.95 + -0.15. Let c = x - 1.80094. Round c to 4 dps. -0.0009 Suppose -3*l + 4*m + 120 + 100 = 0, -4*m = 5*l - 388. Let a = l - 134. Round a to the nearest ten. -60 Let c = -1135956 - 2274044. Round c to the nearest 100000. -3400000 Let v = 2.017 - -2.781. Let s = -4.7 + v. What is s rounded to two decimal places? 0.1 Let i = 12.9999918 + -13. What is i rounded to 6 decimal places? -0.000008 Let y(h) = h**2 - 2*h + 1. Let i be y(2). Let d be 31 + -1 + 2 + i. Round d to the nearest 10. 30 Let d = 217.6 - 183. Let s = 32 - d. What is s rounded to 0 decimal places? -3 Suppose 0 = -q - 5*j - 30, 13 = -4*q + j - 128. Suppose 29 = u - 3*w, 0 = -u + 5*u + w - 51. Let a be q/u*50/1. Round a to the nearest 10. -130 Let t = 228 - 227.999778. What is t rounded to five dps? 0.00022 Let k = 1475 + -1508.95. Let v = k + 35. Let s = -0.05 - v. Round s to the nearest integer. -1 Let o = -14.93 - -15. Let d = o + -0.07001. Round d to five dps. -0.00001 Let g = -67 + 66.99946. Round g to four decimal places. -0.0005 Suppose 0*f = -2*f + 146. Let r = f + -51. What is r rounded to the nearest 10? 20 Let r = -22 + 22.058. Round r to 2 dps. 0.06 Suppose -8*a + 84000 = -4*a + j, -63000 = -3*a + 4*j. Round a to the nearest 10000. 20000 Suppose -2*v = 10, -c - 354 = 2*v + 3*v. What is c rounded to the nearest ten? -330 Let i = 0.106 - -101.894. Let v = -180.988 + 78.85. Let p = v + i. Round p to 2 dps. -0.14 Suppose -j = j - 1900000. What is j rounded to the nearest 100000? 1000000 Let g = -40.1204 + 0.0154. Let q = 2 + 38. Let i = g + q. Round i to 2 dps. -0.11 Suppose 2*p = 7*p + 1000. Let f be 255/1*p/5. What is f rounded to the nearest one thousand? -10000 Suppose 2*m + m + 23829 = 0. Let l = -3692 - m. Suppose -5*y = 3*z - 6965, -11221 + l = -5*y - 4*z. Round y to the nearest one hundred. 1400 Let o = -0.02 - 0.05. Let u = 0.07007 + o. What is u rounded to 5 dps? 0.00007 Let g = -55.5822 + 0.2022. Let c = -56 - g. Round c to one decimal place. -0.6 Let i = 69.41 - 69. What is i rounded to one dp? 0.4 Let n = 7.6 - 7. Let l = 470825.4000048 - 470826. Let f = n + l. What is f rounded to 6 decimal places? 0.000005 Let c = -41.83 + 42. Round c to one decimal place. 0.2 Let q = 40123.967 - 40121.6069903. Let c = q - 2.36. What is c rounded to 6 decimal places? 0.00001 Let t = -8.9 - -9. Let c = -75.049984 + 74.95. Let o = t + c. What is o rounded to five dps? 0.00002 Suppose -32*m = -34*m + 4200000. What is m rounded to the nearest 1000000? 2000000 Let c(t) = 24*t**3 + t**2 + 2*t. Let j be 4/18 - 372/(-27). Suppose 2*l = -3*o, -3*l = -3*o + j + 1. Let y be c(o). Round y to the nearest 1000. 0 Let x = 6 - 3. Suppose -x*u = u - 22800. What is u rounded to the nearest 1000?
{ "pile_set_name": "DM Mathematics" }
of -f**2*h - 130632*f**2 + 1480*f*h + f + 13 wrt f? -2*h - 261264 What is the second derivative of -72*c**4 + 4*c**3 + 23*c**2 - 2305952*c? -864*c**2 + 24*c + 46 What is the second derivative of 2*a*p**2*z**2 + 26*a*p*z**2 - 2*a*p + 9753*a*z**2 - 8*p**2*z**2 + 11436*p**2*z wrt p? 4*a*z**2 - 16*z**2 + 22872*z Differentiate -1061133*h + 1216460. -1061133 Find the second derivative of -5*h**4 + 2051*h**3 + 2*h**2 - 8188*h - 8. -60*h**2 + 12306*h + 4 Differentiate 13889*b**3*j*k - 6600*b**3 + 11*b*k - 2*j*k + 2*j wrt j. 13889*b**3*k - 2*k + 2 Find the third derivative of 23*d**4*o**2 + 750*d**4 + 5*d**3*o + 15*d**2*o**2 - 4326*d*o**2 wrt d. 552*d*o**2 + 18000*d + 30*o Find the first derivative of 2601725*p*v - 840411*v wrt p. 2601725*v What is the derivative of -165*k**2*m*t - 5*k**2*m - 16*k**2 + 49*k*m*t + 58*m wrt t? -165*k**2*m + 49*k*m Differentiate 3*m*u*w**2 + 3*m*u*w - 1164*m*u + 287*m*w**2 - 65*w**2 wrt u. 3*m*w**2 + 3*m*w - 1164*m What is the third derivative of 363*j**6 + 1672*j**5 - 501350*j**2 wrt j? 43560*j**3 + 100320*j**2 What is the first derivative of -10*q**3 - 320*q**2 + q - 27745 wrt q? -30*q**2 - 640*q + 1 Find the second derivative of -117808*m**2 - 7089*m. -235616 Find the second derivative of 237001*b**2 + 51818*b + 2. 474002 What is the third derivative of 39875*a**3*c**3*i**2 - 23*a**2*i**2 + 8030*a**2 - c**3 wrt a? 239250*c**3*i**2 Find the second derivative of -456913*p**2 - 411260*p wrt p. -913826 What is the first derivative of -1394023*c - 3039581? -1394023 Find the second derivative of -2*k**5 - 3672*k**2*t - 13489*k*t - 2 wrt k. -40*k**3 - 7344*t Find the third derivative of 21*f**3*w**3 + f**3 - 7*f**2*w**3 - 237008*f**2*w**2 + 287*f*w**3 wrt w. 126*f**3 - 42*f**2 + 1722*f What is the third derivative of 16069*s**3*z - 2*s**2 + 38*s - 5*z + 3 wrt s? 96414*z What is the second derivative of c**2*i - 5361*c**2 - 29076*c*i - 2*i wrt c? 2*i - 10722 What is the derivative of -260934*y + 336926 wrt y? -260934 Find the second derivative of 3*n**5 - 1167*n**4 - n**3 - n + 71986. 60*n**3 - 14004*n**2 - 6*n Find the third derivative of -466058*q**3 + 5*q**2 + 538*q + 7 wrt q. -2796348 What is the third derivative of 28203*v**3 + 1209*v**2 + 3? 169218 Find the second derivative of -26213*h**2 - 2*h + 135798 wrt h. -52426 Differentiate 6566*h**3 + 8*h**2 + 1330817 wrt h. 19698*h**2 + 16*h Differentiate -10*c*d*s**2*y - 2*c*d*y + 47*c*d - 98*d*s**2 + 3*d*s*y + 2*s**2 wrt c. -10*d*s**2*y - 2*d*y + 47*d Find the first derivative of 3*k**3*q**3 - 5991536*k**3 + 1476504*q**3 wrt q. 9*k**3*q**2 + 4429512*q**2 Find the third derivative of -1523*z**4 - 8*z**3 + 28*z**2 + z + 93. -36552*z - 48 Find the second derivative of 4*g*l**3*z + 40*g*l**3 - 7*g*z**2 + 5122*l**3*z**2 - l**3*z - 2*l**2*z**2 wrt z. -14*g + 10244*l**3 - 4*l**2 What is the third derivative of 2*f**3*h**3*w + f**3*h**2 + 49*f**3*h*k*w + 11*f**2*h**2*k*w - 2*f**2*w - f*h**2*k*w - 79391*h**3*k + 2*h**3*w + 5*h*k*w wrt h? 12*f**3*w - 476346*k + 12*w What is the third derivative of 701257*u**4 - 16*u**2 + 7*u + 55? 16830168*u Differentiate 780*g**3 + 27*g**2 - 366903 with respect to g. 2340*g**2 + 54*g What is the first derivative of -2*t**4 - 1067*t*u**2 + 2*t + 3*u**2 + 3*u - 390 wrt t? -8*t**3 - 1067*u**2 + 2 What is the third derivative of 5*p**2*t**4 - 3*p**2*t**2 - 2*p**2*t + 1157*p*t**6 - 247*p wrt t? 120*p**2*t + 138840*p*t**3 Find the second derivative of 3*c**3*g*i + 5*c**3*i - 33*c**2*g + c**2*i - 62*c*g*i + 3*c*i + 2*g*i + 2*i + 5 wrt c. 18*c*g*i + 30*c*i - 66*g + 2*i Differentiate -231081*p*w**2 + 171100*w**2 with respect to p. -231081*w**2 What is the third derivative of 42065*c**2*y**3 - 2893*c**2*y**2 + 7*c*y**4 + c*y**2 + c + y + 1 wrt y? 252390*c**2 + 168*c*y Find the second derivative of 5*b**4*i + 37*b**3 - 2*b**2*i + 33*b**2 - 554*b*i - 24*b wrt b. 60*b**2*i + 222*b - 4*i + 66 Find the second derivative of 2548*b*j**3*t**2 - 2*b*j**3 + 29*b*j**2*t**2 + 31*b*j*t + b*t + 2*j**3*t + 64*j*t wrt t. 5096*b*j**3 + 58*b*j**2 What is the third derivative of 1414858*r**4 - r**3 - 6177*r**2 - 64? 33956592*r - 6 Find the first derivative of 231*c**3 + 23*c**2 + 5*c + 411455 wrt c. 693*c**2 + 46*c + 5 Find the second derivative of -5*y**5 + 941*y**4 + 10*y**3 - 451521*y. -100*y**3 + 11292*y**2 + 60*y Find the second derivative of 127195*x**2 - 526539*x. 254390 Differentiate -423*f**2 - 154*f + 305500 with respect to f. -846*f - 154 What is the second derivative of -292994*b**3 + 2*b**2 - 2*b - 763390? -1757964*b + 4 Find the second derivative of -56*q**4 + 12307*q**2 + 1464649*q. -672*q**2 + 24614 Find the third derivative of -82*f*h**4 + 149*f*h - 260*h**4 - 2*h**2 + 3*h - 15 wrt h. -1968*f*h - 6240*h Differentiate -6*f**3*z**3 + 90980*f**3 + 2*z**3 - 8*z + 54250 wrt f. -18*f**2*z**3 + 272940*f**2 Find the third derivative of -22539*a*n**3 + 2*a*n**2 - 2*a*n - n**5 - 103*n + 24 wrt n. -135234*a - 60*n**2 Find the third derivative of -1351086*r**6 + r**4 - 1955582*r**2. -162130320*r**3 + 24*r What is the first derivative of -76864*c**4 - 5*c**2 - 617002 wrt c? -307456*c**3 - 10*c What is the second derivative of -2348*r**5 + 27*r**3*v + 28097*r + v wrt r? -46960*r**3 + 162*r*v What is the first derivative of -2760218*y - 3877270? -2760218 What is the second derivative of 2917199*s**4 - s**2 + 3222562*s wrt s? 35006388*s**2 - 2 Find the second derivative of -804*d**2*r**3 - 20*d**2*r - 36*d**2 - 517*d - 351*r**3 wrt d. -1608*r**3 - 40*r - 72 What is the second derivative of -349*g**2*h**2 - 810*g**2*h - 476*g*h - 2352*h**2 wrt h? -698*g**2 - 4704 What is the third derivative of 115588*n**4 + 6*n**3 + 121751*n**2 + 5*n wrt n? 2774112*n + 36 Find the first derivative of -97*q**2 + 115*q + 51094 wrt q. -194*q + 115 Find the second derivative of 598801*g**5 + 2*g**2 - 329*g + 378. 11976020*g**3 + 4 Find the second derivative of 4*j**2*n*r**2 + 21*j**2*n*r - j**2*n + j**2 + 8*j*n*r**2 - 1994*j*r**2 + 21*j + 3*n wrt r. 8*j**2*n + 16*j*n - 3988*j What is the third derivative of 2*b*c*x**2 - 1290*b*x**3 - 3*b*x + 3*c*x**3 + 2*c + 263*x**2 wrt x? -7740*b + 18*c Differentiate -858500*f**4 + 1037094 with respect to f. -3434000*f**3 What is the second derivative of 449287*v**2 + 1556082*v wrt v? 898574 Differentiate 18*n*u**4 + 1527*n*u**3 - 68274*n wrt u. 72*n*u**3 + 4581*n*u**2 What is the third derivative of -7389*p**4 + 170*p**3 + p**2 + 174733*p + 1? -177336*p + 1020 Find the third derivative of 575*g**5 + g**4 + 26*g**3 + 2*g**2 + 21049 wrt g. 34500*g**2 + 24*g + 156 Find the third derivative of x**5 + 108*x**4 + 29*x**3 - 38149*x**2 wrt x. 60*x**2 + 2592*x + 174 Find the second derivative of -h**4*u**3 + 10354*h**4*u - 278*h + 22*u**3 wrt h. -12*h**2*u**3 + 124248*h**2*u What is the third derivative of 88718*g**3*z**2 + g**3*z + 6*g**3 - 163923*g**2*z**2 wrt g? 532308*z**2 + 6*z + 36 What is the first derivative of -6121618*t**3 - 4803825? -18364854*t**2 Find the first derivative of 3*i*w**2 + 483095*i + 5783*w**3 wrt w. 6*i*w + 17349*w**2 What is the derivative of -34*g*i**2 - g*i - 2*g*m + 52*g + 13*i**2*m - 3*i*m - 386*m wrt i? -68*g*i - g + 26*i*m - 3*m What is the third derivative of -22685*j**2*r**5 - 2*j**2*r - 213*j**2 + 4*r**6 - 2*r**2 + 5*r wrt r? -1361100*j**2*r**2 + 480*r**3 What is the second derivative of -614047*w**2 + 1221573*w? -1228094 Find the second derivative of 147672*h**2 + h + 151583 wrt h. 295344 Find the second derivative of -125450*k*w**2 - 21*k + 8*w**2 - 9*w + 20 wrt w. -250900*k + 16 What is the derivative of -1903*a**2*w + 3*a**2 - 2*a*w - a - 159109*w wrt a? -3806*a*w + 6*a - 2*w - 1 What is the second derivative of -153131*z**2 - 344464*z wrt z? -306262 What is the third derivative of -11019*p**6 - 2*p**2 + 35921*p wrt p? -1322280*p**3 Find the second derivative of f**4 - 1158148*f**2 - 6291717*f wrt f. 12*f**2 - 2316296 Find the first derivative of -120655*m**2 + 111813 wrt m. -241310*m Differentiate 38113*h + 56232 wrt h. 38113 Find the second derivative of -93714*n**3 - 5*n**2 - 416*n - 383 wrt n. -562284*n - 10 What is the second derivative of 3237*j*m**2*n**3 - j*m*n**3 + 215*j*m + 6*j*n**3 - 5*m**2*n**3 + m**2*n + 2*m*n - 1 wrt m? 6474*j*n**3 - 10*n**3 + 2*n What is the first derivative of -33145*h + 17722? -33145 What is t
{ "pile_set_name": "DM Mathematics" }
z (b) f (c) 0 (d) o d Let o = -2 - -2.4. Let j = -1070377 - -24605237/23. Let a = -584 - j. What is the biggest value in 4, o, -1/5, a? 4 Let k = 3085 + -3082. Which is the biggest value? (a) 5 (b) 15 (c) k (d) 1.4 b Suppose -f + 31 = 4*y, -2*y = -0*y - f - 17. Suppose 9 = -3*g - v - y, -13 = -3*g + 5*v. Which is the third biggest value? (a) g (b) -0.3 (c) 1/4 (d) -2/7 b Let h(t) = 11*t - 72. Let s be h(7). Suppose -23*z - 6 = -29. Which is the third smallest value? (a) z (b) -0.27 (c) s c Let n be ((-3)/(-4))/(9/(-2)). Let z = 0.218 - 2.158. Let f = z - 1.06. What is the second biggest value in f, 0.07, n? n Suppose -3*c + 7*h + 72 = 4*h, -57 = -3*c - 2*h. Let j be 30/(-16) - -3 - c/28. Let d = 3.89 + 0.11. What is the second smallest value in -1, 3, d, j? j Let i = 101 + -44. Let y = i + -144. Let z = 90 + y. Which is the third biggest value? (a) 0.37 (b) 0 (c) z b Suppose 4*w = 3*w + 2. Let i = -0.56844 + 0.66844. Which is the fourth biggest value? (a) i (b) 0 (c) w (d) -6 d Suppose -i - 5*c + 0*c + 10 = 0, -2*i = 5*c - 10. Let f be i - 4 - 56*4/(-72). What is the fourth biggest value in 0.3, -4/5, 1/2, f? f Let l = 1.42 - -0.08. Let w = -13258 + 13256. What is the third smallest value in 0, l, w? l Let s = 2.47 - 1.68. Let t = 2213.91 + -2215. Let y = t + s. What is the fourth smallest value in 1, 2/7, 4, y? 4 Let x be -11 - -10 - (-1 + 2/15). Let n = -2 + 8. Let p = n - 6.02. Which is the biggest value? (a) x (b) p (c) 0 c Let s = -0.173 - -0.373. Which is the third biggest value? (a) -0.14 (b) s (c) 1.2 a Let s = 21135 + -21139. What is the fourth smallest value in s, -0.2, -3, -273/5? -0.2 Let p be (-1)/(1/1) + -2. Let j = -0.36 + 0.4. Let i = -583282.1 - -583282. What is the biggest value in p, j, i, -2? j Let b = 12599.92 + -12626. What is the third biggest value in -3, b, -2? b Let z = -0.47 + -38.53. Let i = 41.2 + z. Let o = 2.7 - i. What is the third biggest value in o, 0, 2? 0 Suppose 0 = -6*w + 15 + 3. Let n = -10 - -14. Suppose 0 = -3*f + 9, -4*t + 27 = -2*f - 11. What is the smallest value in n, t, 0.1, w? 0.1 Let k = -2.12081 - -0.12081. Which is the fourth smallest value? (a) -0.5 (b) k (c) 3 (d) 91 d Let f = -7613.1 + 7613. Which is the smallest value? (a) -45 (b) 7 (c) f a Let a = 38608 - 38595. What is the third biggest value in 2/9, a, -0.4, -1/8? -1/8 Let v = 0.3 + -0.6. Let s = -4932 - -4927. Which is the biggest value? (a) v (b) -1/2 (c) s (d) 1 d Let l be 0 + -10 - (-139 + 138). Let m(f) = -f**2 + 87*f + 869. Let d be m(l). Let z = 41.4 - 32. What is the second biggest value in 0.3, z, d? d Let x = -2734.3 - -2734. What is the fourth biggest value in x, -2/13, -0.19, -0.4? -0.4 Let l = 54.7 + 245.3. Let n = l + -292. Which is the biggest value? (a) -0.2 (b) 1 (c) 0.3 (d) n d Let n = 9750 + -9750.1. Which is the third biggest value? (a) -5 (b) 0.3 (c) n (d) -306/13 a Let u be (-59872)/320 - 2/4. Let y = u + 187. Which is the second smallest value? (a) -5.1 (b) 3 (c) y (d) -1 d Let s = 10208/3 - 3403. What is the second biggest value in -1.2, s, -3/14? s Let i = -14 - -13.8. Let g = -3034211/13 + 233108. Let s = -293 - g. Which is the smallest value? (a) s (b) 1/7 (c) i (d) 0.4 c Let f = 6273 - 6272. Let g be (-6)/(-21) + 1/7. What is the second biggest value in 9, -0.2, f, g? f Let q = 5/2493 - 8011/1508265. Which is the fourth biggest value? (a) 0.4 (b) q (c) -3 (d) -1 (e) 2/3 d Suppose -4*q = -2*w + 17 + 3, 0 = w - 3*q - 15. Suppose w = -k + 26*k - 25. What is the biggest value in -0.07, k, 3? 3 Let t = -0.99 - -0.03. Let g = t - 1.04. Which is the smallest value? (a) 0.2 (b) g (c) 2/27 b Let u = 7.132 + -13.132. What is the second biggest value in 0.5, -37, u, -5? -5 Let p = 80.3 + -80.2. Which is the second smallest value? (a) 25.1 (b) 0.3 (c) p b Let o = -3886 + 3888. What is the smallest value in o, -0.3, 1.3, -5? -5 Let a be -3 - (-36)/(-56)*-6. Let b = 115 - 115.5. What is the third biggest value in -0.1, a, 5, b? -0.1 Let d = 31625/4 - 7906. Let t(p) = 6*p + 8. Let g be t(-6). Which is the biggest value? (a) -0.1 (b) g (c) d c Let m be ((-32)/8)/(2/(-3)). Let z be 3 - 30/9 - 16/m. Which is the third biggest value? (a) -3/5 (b) 0.5 (c) z c Let f = -27485 - -27691. Which is the third biggest value? (a) -0.5 (b) 0.5 (c) f (d) 1 b Let g be 851/(-555) - (2 + -5)*-1. Which is the second biggest value? (a) -0.04 (b) g (c) 1 a Let k be 236*(-16)/256 + 50/5. What is the third biggest value in -1/7, 0.09, k? k Let l be (-5)/(-100)*4 + (-288)/(-10). Let s = -3.2 + 3.4. Which is the second smallest value? (a) 5 (b) 2/9 (c) l (d) s b Let y be (10 - 2) + -13 - -31*(-3)/(-18). What is the third smallest value in -3/7, y, 1/571, 1? y Let i be ((-10)/(-35))/(-4 + (-18)/(-4)). Let k = -0.11 + 36.61. Let y = k - 37. Which is the third smallest value? (a) y (b) -4 (c) -3 (d) i a Let l be (1864/5664)/(3/6). Let g = l - -1/118. Let j = 0.32 + -0.12. What is the biggest value in 1/4, j, 0.5, g? g Let n(m) = m**3 + 11*m**2 - 18*m - 1. Let l be n(-11). Suppose y = -0*y + l. Let f = y - 1775/9. Which is the biggest value? (a) 2/3 (b) 3/11 (c) 2/7 (d) f a Let t(w) = 98*w - 1668. Let v be t(17). Which is the fifth smallest value? (a) -0.1 (b) 7 (c) v (d) 0.6 (e) -14 b Let l = 52664 - 52655.0026. Let v = l + 0.0026. Let n = 3 + -8. Which is the smallest value? (a) n (b) -1 (c) v (d) 3 a Let r = -0.2 - -0.16. Let m = r - -0.04. Suppose 3*q = -3*k - 9, -31*q + 32*q = 4*k + 17. What is the second smallest value in 6, k, m, 4? m Suppose -396 = 7102*d - 7069*d. What is the third biggest value in d, -1, -8? d Let g = 2.9242 + -3.3242. What is the third biggest value in g, -3, 2/11, -93? -3 Let z = -4747.8 - -4748. What is the second smallest value in -2/3, -318, -1/7, -5, z? -5 Let q = -6683 + 6682.9. Which is the fifth smallest value? (a) 1 (b) 0 (c) q (d) -55 (e) 0.4 a Let n be 1*((-62)/465 - (-46)/120). What is the fourth smallest value in 0, -0.09, 0.4, -0.3, n? n Let j = -5 - -6. Let h = j - 0.97. Let m(y) = 2*y**3 + 12*y**2 - 11*y. Let v be m(1). Which is the fourth biggest value? (a) -5 (b) v (c) 0.4 (d) h a Let c be (2/(-121))/(102/(-2244)). What is the smallest value in c, 57, -10? -10 Suppose -2*q + 28 = 12*q. Let f be q - 40*(-9)/((-1620)/8). Which is the smallest value? (a) -9 (b) -3/7 (c) f a Let k = -4629 + 4630.22. What is the third biggest value in -0.4, 2/3, 1/7, k? 1/7 Suppose 24*n = -p + 23*n + 30, -4*p = -2*n - 108. Let o be -4*(p/(-24) + (-1)/(-6)). What is the third smallest value in -5, o, 2/27? o Let c = -44931/5 - -8986. What is the fourth smallest value in 0.04, 14, c, 2? 14 Let k = -2428 + 2429. What is the second smallest value in 4, -0.4, -1227, k? -0.4 Let o = -559.287 - -555.3. Let y = o + -0.013. Which is the third biggest value? (a) -7 (b) -2 (c) y (d) -0.4 c Let o be -2966 - 7 - (-6 + 23). Which is the biggest value? (a) -0.3 (b) o (c) -1 a Let i = 3332/9951 + -5/3317. What is the fifth smallest value in 0.3, 4, 11, 0, i? 11 Let i be (-2)/(4/(-2))*5. Let r = 7751 - 7751.1. Which is the third smallest value? (a) i (b) 1.1 (c) r a Let m = 28.24 + -26.24. What is the fifth smallest value in 32/11, m, 0, -5, -2/13? 32/11 Let a = -57.3 + 56.4. What is the smallest value in a, -2, -1/2, 1/3? -2 Let w(h) = -h**2 + 17. Let v be w(5). Let g be (-26)/91 - (-5)/(70/(-52)). Which is the fourth biggest value? (a) 1 (b) 0 (c) g (d) v d Let v = -22.98272 + -0.01728. Which is the second smallest value? (a) v (b) 2 (c) 5/7 c Suppose 5*b + 9531*j = 9530*j + 20, 3*j - 15 = 0. Let h(x) = 7*x**2 + 3*x. Let o be h(-2). What is the second smallest value in b, o, -0.04? b Let o = 1.9517 - 2.0517. Which is the smallest value? (a) 27/7 (b) -79 (c) o b Suppose -x + 4*x + 3*v - 3 = 0, 3*v + 9 = x. Let p = 1560 + -1414.6. Let y = 145 - p. Which is the third smallest value? (a) -2/35 (b) y (c) x c Let q = 149/60 + -25/12. Which is the biggest value? (a) -3.4 (b) q (c) 4/5 c Let h = 26652 + -26651.944. Which is the third smallest value? (a) h (b) 2/3 (c) 2/9 (d) 3 b Let c(h) = -3*h + 23. Let r be c(8). Let t = -0.39 + -0.01. What is the third smallest value in r, -9, t? t Let m = 2/2169 + -4360/2
{ "pile_set_name": "DM Mathematics" }
*m + 8689. Determine k(6). -17 Let k(s) = -3*s**3 + 295*s**2 + 204*s - 658. What is k(99)? -64 Let x(n) = -32*n + 349. What is x(11)? -3 Let b(v) = 5*v**2 + 88*v + 361. Calculate b(-11). -2 Let a(w) = -w**3 + 16*w**2 + 128*w + 56. Determine a(22). -32 Let s(x) = 67*x - 62. Give s(1). 5 Let n(d) = 5*d**2 + 63*d + 60. Determine n(-1). 2 Let k(i) = i**3 + 42*i**2 + 423*i + 27. Determine k(-17). 61 Let y(x) = -85*x - 61. Determine y(1). -146 Let q(u) = 11*u**2 - 9*u + 5. Give q(1). 7 Let y(q) = 3*q**3 - 8*q**2 + 7*q - 46. What is y(5)? 164 Let w(h) = h**2 + 242*h - 27. What is w(0)? -27 Let j(t) = t**3 - 8*t**2 - 73*t + 564. What is j(9)? -12 Let v(g) = 165*g**2 + 289*g - 85. Give v(-2). -3 Let s(z) = z**2 + 598*z - 13639. Determine s(22). 1 Let k(h) = -h**2 + 8*h + 247. Give k(20). 7 Let i(w) = -132*w + 1224. Determine i(9). 36 Let c(q) = 38*q**2 + 4*q + 53. Calculate c(0). 53 Let q(c) = c**2 - 27*c + 124. Determine q(8). -28 Let j(y) = -y**2 - 13*y. Give j(16). -464 Let b(y) = 300*y - 2352. Calculate b(8). 48 Let d(u) = u**3 + 3*u**2 - 57*u - 12. What is d(-9)? 15 Let u(v) = 2*v**2 - 586*v + 8842. Calculate u(277). -22 Let u(r) = -42*r + 5. Give u(0). 5 Let k(c) = -2*c**3 - 36*c**2 - 138*c + 76. Determine k(-12). 4 Let m(d) = -2*d**2 + 17*d + 263. Calculate m(23). -404 Let m(r) = -81*r + 817. Calculate m(8). 169 Let i(x) = 27586*x - 55175. Give i(2). -3 Let c(y) = 112*y**2 - 111*y - 4. Determine c(1). -3 Let t(z) = -20*z**3 + z**2 + z + 1. What is t(2)? -153 Let c(l) = 2*l**3 + 283*l**2 + 135*l - 917. Determine c(-141). -71 Let a(u) = -u**2 - 25*u - 62. What is a(-3)? 4 Let l(x) = -3*x**2 - 4292*x - 25644. What is l(-6)? 0 Let d(m) = -2*m**2 + 53*m - 356. Calculate d(14). -6 Let q(z) = 39*z**2 + 835*z + 329. Give q(-21). -7 Let m(q) = 6*q**3 + 1288*q**2 - 429*q + 194. Determine m(-215). -21 Let p(f) = f**3 + 33*f**2 - 46*f + 837. Determine p(-35). -3 Let d(g) = 33*g + 178. Give d(-5). 13 Let s(m) = -5*m + 160. What is s(7)? 125 Let i(d) = 3*d**2 - 28*d + 25. Give i(-7). 368 Let j(l) = -l**3 + 66*l**2 + 282*l - 13. What is j(70)? 127 Let p(v) = 3*v**3 - 5*v**2 - 16*v - 6. Determine p(4). 42 Let h(q) = 29*q - 47. Calculate h(5). 98 Let d(g) = -2*g**2 + 5*g - 25. Calculate d(3). -28 Let r(m) = -2*m**3 - 11*m**2 - 25*m - 101. Calculate r(-5). -1 Let d(i) = 14*i**2 + 280*i - 8. What is d(-20)? -8 Let w(b) = -120*b + 1275. Determine w(7). 435 Let y(g) = -10*g**2 - 33*g + 24. Determine y(6). -534 Let o(v) = 2*v**3 + 95*v**2 - 46*v + 166. Calculate o(-48). 70 Let g(h) = -2*h**2 + 54*h - 86. Determine g(27). -86 Let p(f) = 9*f**3 - 109*f**2 + 16*f - 77. What is p(12)? -29 Let c(t) = -2*t**3 + 151*t**2 + 235*t - 304. Calculate c(77). 4 Let m(k) = -k**3 + 6*k**2 - 11*k + 22. Calculate m(3). 16 Let n(p) = 15*p**2 + 50*p + 11. Determine n(0). 11 Let i(w) = -w**3 - w**2 + 14*w + 20. Determine i(-7). 216 Let b(v) = -20*v + 264. What is b(16)? -56 Let i(s) = 3*s**2 + 1681*s - 3368. Calculate i(2). 6 Let s(l) = -57*l + 294. Calculate s(5). 9 Let u(g) = 313*g + 3321. Calculate u(-12). -435 Let u(x) = 22*x**2 + 6*x + 24. Give u(-4). 352 Let o(p) = -p**2 - 19*p + 1978. What is o(36)? -2 Let z(a) = -18*a - 242. Give z(-20). 118 Let p(s) = 5*s**2 - 13*s + 63. Give p(4). 91 Let c(i) = i**3 - 28*i**2 + 197*i - 14. Determine c(14). 0 Let h(l) = -l**2 - 41*l - 33. Calculate h(-9). 255 Let o(k) = -5*k**3 + 124*k**2 + 22*k + 70. Calculate o(25). -5 Let u(c) = 2*c**3 - 19*c**2 + 42*c + 15. What is u(5)? 0 Let n(p) = 4*p**2 - 41*p - 166. What is n(13)? -23 Let t(d) = -d**3 - 30*d**2 - 158*d + 12. What is t(-7)? -9 Let a(w) = w**3 - 65*w**2 + 67*w - 196. Give a(64). -4 Let c(n) = -5*n**3 + 3*n**2 + 8*n - 20. Determine c(4). -260 Let c(m) = 2*m**3 - 94*m**2 + 737*m + 118. What is c(37)? 7 Let c(h) = 618*h - 3035. What is c(5)? 55 Let w(u) = u**3 + 50*u**2 + 3*u + 160. What is w(-50)? 10 Let j(f) = -2*f**2 - 115*f - 733. Give j(-50). 17 Let c(y) = -y**2 + 2710*y - 18925. What is c(7)? -4 Let z(s) = s**3 - 369*s**2 - 745*s + 1104. What is z(371)? -9 Let b(k) = -146*k + 329. Give b(4). -255 Let p(w) = -176*w**2 - 27*w - 2. Calculate p(-1). -151 Let m(f) = f**3 - 70*f**2 - 77*f + 442. Determine m(71). 16 Let j(g) = -8*g**3 + 63*g**2 + 61*g - 2. Determine j(-1). 8 Let w(m) = -32*m - 675. Give w(-18). -99 Let u(y) = 6641*y + 19914. Determine u(-3). -9 Let g(n) = 3*n**2 - 40*n - 76. Determine g(13). -89 Let n(k) = k**3 - 8*k**2 + 6*k + 45. Determine n(6). 9 Let f(g) = -g**3 - 9*g**2 + 40*g + 282. Calculate f(-9). -78 Let k(l) = -3*l**2 - 24*l + 44. What is k(-10)? -16 Let k(h) = 4404*h + 13211. Determine k(-3). -1 Let c(n) = -237*n**2 - 1427*n + 8. Determine c(-6). 38 Let b(z) = 165*z - 5272. Determine b(32). 8 Let d(j) = j**3 - 15*j**2 + 19*j + 141. Give d(5). -14 Let g(y) = 244*y + 312. Determine g(-2). -176 Let p(s) = s**3 + 41*s**2 - 41*s - 28. Determine p(-42). -70 Let a(g) = 211*g + 2725. Calculate a(-13). -18 Let f(t) = 117*t**2 - t - 2. Calculate f(1). 114 Let s(x) = -3*x**3 - 208*x**2 - 65*x + 53. Give s(-69). -223 Let b(u) = 2*u**3 - 148*u**2 - 182*u + 2397. Give b(75). -3 Let f(t) = 4*t**2 - 198*t + 113. What is f(49)? 15 Let x(h) = h**3 + 15*h**2 + 28*h - 52. Determine x(-14). -248 Let p(b) = 31*b + 226. Determine p(-12). -146 Let t(g) = -3*g**2 + 98*g + 431. Determine t(-4). -9 Let p(x) = -6*x + 62. Give p(52). -250 Let k(p) = 349*p + 4894. Give k(-14). 8 Let q(i) = -46*i + 42. Calculate q(4). -142 Let y(c) = 14*c**2 + 1094*c + 160. What is y(-78)? 4 Let v(j) = -j**3 + 10*j**2 - 13*j + 10. Determine v(6). 76 Let n(o) = 24*o - 303. Give n(12). -15 Let c(f) = -7*f**2 + 411*f - 3146. Give c(9). -14 Let s(w) = -4*w**2 + 92*w + 78. Calculate s(24). -18 Let w(o) = 407*o**2 + 5*o - 5. Calculate w(1). 407 Let r(z) = -z**3 - 3*z**2 + 28*z - 18. What is r(-8)? 78 Let t(j) = 143*j - 2676. Determine t(18). -102 Let j(k) = 6*k**2 - 217*k + 830. Calculate j(4). 58 Let a(k) = -816*k + 4069. Calculate a(5). -11 Let x(v) = -16*v - 37. Give x(-4). 27 Let z(f) = 3*f**3 - 236*f**2 - 73*f - 456. Give z(79). 18 Let a(l) = l**3 + 16*l**2 - 63*l - 1245. What is a(-14)? 29 Let b(y) = -3*y**2 + 117*y - 185. What is b(30)? 625 Let d(q) = 25*q**2 - 175*q + 18. Give d(7). 18 Let i(m) = -m**3 - 46*m**2 + 61*m - 1677. What is i(-48)? 3 Let y(p) = -4*p + 59. Determine y(-6). 83 Let f(r) = -5*r**2 - 191*r - 40. Calculate f(-38). -2 Let b(y) = -18*y**3 - 8*y**2 + 6*y + 38. What is b(-2)? 138 Let r(q) = -14*q**2 - 2*q + 2. Give r(1). -14 Let f(k) = -2*k**3 + 21*k**2 - 8*k - 17. Determine f(8). 239 Let d(z) = z**3 - 11*z**2 + 31*z - 7. What is d(6)? -1 Let q(d) = 46*d**2 - 76*d + 5. Determine q(2). 37 Let j(k) = k**3 + 36*k**2 - 76*k - 1447. What is j(-37)? -4 Let a(r) = -21*r**2 - 481*r + 14. Give a(-23). -32 Let c(g) = g**2 - 52*g + 257. Determine c(46). -19 Let h(w) = -2*w**3 + 21*w**2 + 9*w - 19. Calculate h(10). 171 Let p(o) = -676*o - 5381. Calculate p(-8). 27 Let n(r) = r**3 + 63*r**2 + 387*r - 277. Determine n(-56). 3 Let u(k) = 97*k - 1263. Determine u(13). -2 Let p(a) = -7*a**2 - 33*a - 25. Give p(-3). 11 Let u(w) = -168*w - 5213. Determine u(-31). -5 Let o(s) = 120*s - 6481. Calculate o(54). -1 Let p(a) = 21*a**2 + 41*a + 8. Determine p(-6). 518 Let f(s) = -s**3 - 6*s**2 - 7*s - 82. What is f(-7)? 16 Let v(x) = -x**3 + 12*x**2 - 430*x + 3635. What is v(9)? 8 Let q(z) = -z**3 - 39*z**2 - 380*z + 3. Calculate q(-20). 3 Let d(s) = 2*s**3 + 133*s**2 - 485*s + 344. Calculate d(-70). -6 Let b(p) = 198*p - 573. Determine b(4). 219 Let v(w) = -w**3 + 73*w**2 + 308*w + 3. Determine v(77). 3 Let j(v) = v**3 - 16*v**2 - 22*v + 58. What is j(18)? 310 Let m(w) = 38*w + 2. Calculate m(-2). -74 Let p(l) = -l**3 + 37*l**2 + 91*l - 445. Calculate p(39). 62 Let m(n) = 2*n**2 + 126*n + 1143. What is m(-11)? -1 Let j(w) = -77*w + 5933. Determine j(77). 4 Let h(b) = -88*b + 882. Give h(10). 2 Let f(v) = -v**3 - 108*v**2 + 566*v + 3. Calculate f(5). 8 Let c(r) = 12*r**3 - 805*r**2 + 66*r + 75. Calculate c(67). 8 Let p(y) = -44*y - 37. Calculate p(-6). 227 Let x(g) = 886*g - 20381. Calculate x(23). -3 Let r(i) = 7*i**2 - 129*i - 233. What is r(20)? -13 Let o(g) = -288*g + 2202. Determine o(6). 474 Let n(j) = 8*j**2 + 39*j - 27. What is n(-8)? 173 Let b(w) = w**2 - 12*w - 734. Calculate b(-24). 130 Let g(z) = 18*z
{ "pile_set_name": "DM Mathematics" }
. 0, -5, -6377 Sort -13/19, 4, -2, -33 in decreasing order. 4, -13/19, -2, -33 Sort -196, 2, 8/63 in ascending order. -196, 8/63, 2 Put 3, -3, -1964, 0.3, -0.1 in decreasing order. 3, 0.3, -0.1, -3, -1964 Sort -1, -2, -2148, -4, 0.4 in increasing order. -2148, -4, -2, -1, 0.4 Sort -6, 5, -9443, -4. -9443, -6, -4, 5 Sort -66, -6, -5, 28, -4 in increasing order. -66, -6, -5, -4, 28 Sort 3, 0.8, 3/2, 2, -4 in increasing order. -4, 0.8, 3/2, 2, 3 Sort 3, -2, -729, -6, 2 in ascending order. -729, -6, -2, 2, 3 Put -1/4, -26, 17, -3 in decreasing order. 17, -1/4, -3, -26 Sort -4, 7, -51, 4. -51, -4, 4, 7 Put -7, 2115, 1 in descending order. 2115, 1, -7 Put 1, 4/23, 3, 6/11 in decreasing order. 3, 1, 6/11, 4/23 Put -14, -1, 324 in decreasing order. 324, -1, -14 Sort 3, -2, 4, -1, 1.57. -2, -1, 1.57, 3, 4 Sort 1/227, 5, 1.35 in descending order. 5, 1.35, 1/227 Put 1.3, 0.09, -2/3, -2, -23 in decreasing order. 1.3, 0.09, -2/3, -2, -23 Sort -0.009, -16, 1/37, 10. -16, -0.009, 1/37, 10 Sort -5, -4, -36, -3, 257, 5 in descending order. 257, 5, -3, -4, -5, -36 Sort 4, -4, -13, 669, 5 in ascending order. -13, -4, 4, 5, 669 Sort 5/3, 2, -39, 4, -5 in decreasing order. 4, 2, 5/3, -5, -39 Put -0.5, 1/5, 2/19, 0.0845 in descending order. 1/5, 2/19, 0.0845, -0.5 Sort -0.3, 3/22, -2, -0.5, 4, -1/76 in decreasing order. 4, 3/22, -1/76, -0.3, -0.5, -2 Sort 54, 144, -5, 5 in descending order. 144, 54, 5, -5 Sort 1, -7, -3, -4, 1615. -7, -4, -3, 1, 1615 Sort -109, 1/11, 1025 in decreasing order. 1025, 1/11, -109 Sort 0, 80, -3, 4. -3, 0, 4, 80 Sort 2, -5, 3, 1, 177. -5, 1, 2, 3, 177 Put -13, -4, 22, -1, -7 in descending order. 22, -1, -4, -7, -13 Put 13335, -2, -4, 3 in descending order. 13335, 3, -2, -4 Sort 2, 6, -2, 3, 98 in descending order. 98, 6, 3, 2, -2 Sort 1/54, -0.3, 4, -33. -33, -0.3, 1/54, 4 Sort 3/4, 9/4, 0.71, -4, -14 in descending order. 9/4, 3/4, 0.71, -4, -14 Put 10, -4, 3, 4, -79 in increasing order. -79, -4, 3, 4, 10 Put 0.1, -18101, -2/19, 3, -2/7 in descending order. 3, 0.1, -2/19, -2/7, -18101 Sort -118, 1, 3, -25 in increasing order. -118, -25, 1, 3 Put 424, 3, 1, 25 in descending order. 424, 25, 3, 1 Sort -0.1, 0.1, -188, 0.4, 2/331. -188, -0.1, 2/331, 0.1, 0.4 Put -5/12, 0.4, -0.5, -3/10 in increasing order. -0.5, -5/12, -3/10, 0.4 Put -1, 3, -5, 3534 in increasing order. -5, -1, 3, 3534 Sort 1, 1797, -1, -23, 3. -23, -1, 1, 3, 1797 Sort -64, 0, 169 in increasing order. -64, 0, 169 Put -3, -6, -4, 2, -1, 1077 in descending order. 1077, 2, -1, -3, -4, -6 Sort -0.4, -0.7, -353, 5, 2/5, 3/7 in increasing order. -353, -0.7, -0.4, 2/5, 3/7, 5 Sort 207, 3, -3, -2, 6 in decreasing order. 207, 6, 3, -2, -3 Sort -13, -15, -0.0264 in ascending order. -15, -13, -0.0264 Sort -3, -4, -5, 5, 4, -7416 in ascending order. -7416, -5, -4, -3, 4, 5 Put 4, -2, 547, -5 in increasing order. -5, -2, 4, 547 Sort 775, 10, 0.5, -0.3, 1/11. -0.3, 1/11, 0.5, 10, 775 Put 2, 451, 3, -13, -3 in descending order. 451, 3, 2, -3, -13 Sort -1, 34, 1, 52 in ascending order. -1, 1, 34, 52 Sort 1.3, 751, -2/13, 5 in increasing order. -2/13, 1.3, 5, 751 Put -31, -1808, 11 in decreasing order. 11, -31, -1808 Put 21, 6, -183 in increasing order. -183, 6, 21 Put 2, 10, -3, -2, 152 in decreasing order. 152, 10, 2, -2, -3 Sort 273, 205, -5. -5, 205, 273 Sort 3, -5, 1326, -0.87, -2/3 in increasing order. -5, -0.87, -2/3, 3, 1326 Put 5, -5, 101, 11, 1 in decreasing order. 101, 11, 5, 1, -5 Sort 0.4, -390, 2/9, -69, 4, 1/6. -390, -69, 1/6, 2/9, 0.4, 4 Sort 256, 5, 1, -7, -5, 3 in increasing order. -7, -5, 1, 3, 5, 256 Sort 3398, -5, -14. -14, -5, 3398 Sort -23, -5, 2, 4 in ascending order. -23, -5, 2, 4 Sort 38, -10, 2, -279 in descending order. 38, 2, -10, -279 Put 6/11, -2/7, 5, 3/4, -30 in decreasing order. 5, 3/4, 6/11, -2/7, -30 Put -0.2, -6, 1, 2/5, -0.3 in decreasing order. 1, 2/5, -0.2, -0.3, -6 Sort -2/11, 0.3, -4, 60, 2.8, 0 in decreasing order. 60, 2.8, 0.3, 0, -2/11, -4 Put 2/5, -3, -2.1, 0.1065, 4 in increasing order. -3, -2.1, 0.1065, 2/5, 4 Put -1, -6, 4, 3/4, 1/8, -0.23 in ascending order. -6, -1, -0.23, 1/8, 3/4, 4 Sort -60.9, 2/7, -18.6 in increasing order. -60.9, -18.6, 2/7 Sort 5, -2/11, 1/3. -2/11, 1/3, 5 Put 0.08, 1, 90/91 in decreasing order. 1, 90/91, 0.08 Put 5, -5, 7, -2931 in descending order. 7, 5, -5, -2931 Put -47, 28, -76 in ascending order. -76, -47, 28 Put 0, -8, -3, -24, 1 in increasing order. -24, -8, -3, 0, 1 Sort 0, -3/7, -1, 5, 25307, 3 in increasing order. -1, -3/7, 0, 3, 5, 25307 Put 0, -5, -3, 1.49, 2/25 in increasing order. -5, -3, 0, 2/25, 1.49 Sort 10, 3, 2, -56894 in decreasing order. 10, 3, 2, -56894 Put -12361, 0, 2 in ascending order. -12361, 0, 2 Put 864, 73/4, 0.4 in decreasing order. 864, 73/4, 0.4 Sort 27, 103, 13, -1 in decreasing order. 103, 27, 13, -1 Sort -52, 63, -4/7, -1/2, 0.2 in decreasing order. 63, 0.2, -1/2, -4/7, -52 Sort 0, 4, -2, 15, -11, 5. -11, -2, 0, 4, 5, 15 Sort 2/11, 5, 6, 935. 2/11, 5, 6, 935 Sort -5, -10481, -2/13 in decreasing order. -2/13, -5, -10481 Sort 3, -1, 11, -590, 2, 0 in increasing order. -590, -1, 0, 2, 3, 11 Put -0.01, 11, -0.3, -5/2, 3/4, 2 in decreasing order. 11, 2, 3/4, -0.01, -0.3, -5/2 Sort -55/3, 0.22, -0.47, -1, 0.6 in descending order. 0.6, 0.22, -0.47, -1, -55/3 Sort -68.4, 0.4, 0.6 in ascending order. -68.4, 0.4, 0.6 Put -25, -5, 4, 3, 6/7, 13 in decreasing order. 13, 4, 3, 6/7, -5, -25 Sort -1167, 6, 49, 5 in decreasing order. 49, 6, 5, -1167 Put 4/5, 4, 1, -7, 2/11, -0.0364 in decreasing order. 4, 1, 4/5, 2/11, -0.0364, -7 Sort 20, -58, 1. -58, 1, 20 Put -3/155, 5, 24 in decreasing order. 24, 5, -3/155 Put -5, -1355, 0, 3, -4 in increasing order. -1355, -5, -4, 0, 3 Sort -2/11, 5/46, 201 in decreasing order. 201, 5/46, -2/11 Put 477/35, 1, -0.4, -1/4, 0.3, 4 in descending order. 477/35, 4, 1, 0.3, -1/4, -0.4 Sort -20, 1, -4/5, 5, -0.2 in decreasing order. 5, 1, -0.2, -4/5, -20 Sort -10, -1, -9, -3, 3, -4 in decreasing order. 3, -1, -3, -4, -9, -10 Sort 2, 122, -898 in ascending order. -898, 2, 122 Put 0.4, 7, -25.7, -12 in increasing order. -25.7, -12, 0.4, 7 Put -6, 20, -9, 4, 3 in decreasing order. 20, 4, 3, -6, -9 Sort 2, 7, 131, -3, -2, 5. -3, -2, 2, 5, 7, 131 Sort 0.4, 0.018, 2, 78, -4 in decreasing order. 78, 2, 0.4, 0.018, -4 Sort 0.5, -2.8, -0.7, 4, -0.08 in descending order. 4, 0.5, -0.08, -0.7, -2.8 Sort 1/3, -2/9, -29, 2/39, 0.14 in decreasing order. 1/3, 0.14, 2/39, -2/9, -29 Sort -1, -9, 220, -4, 5. -9, -4, -1, 5, 220 Sort -9087, -4, 3/4, 8 in descending order. 8, 3/4, -4, -9087 Sort 46, 0, 76 in decreasing order. 76, 46, 0 Sort -2/3, 1/9, -2/5, 5, -3, 21.3. -3, -2/3, -2/5, 1/9, 5, 21.3 Put -1, -2, -14, -3, -4, -1690 in increasing order. -1690, -14, -4, -3, -2, -1 Sort 1825, -2, 3, -3. -3, -2, 3, 1825 Sort -7.728, -0.2, 0.4, 5 in ascending order. -7.728, -0.2, 0.4, 5 Put 99, -1, 0, -4, 3, -7 in increasing order. -7, -4, -1, 0, 3, 99 Put 6/5, -1811, 2 in descending order. 2, 6/5, -1811 Put -204, 3, 79, 1 in descending order. 79, 3, 1, -204 Put 4, -114, -3, 2, -50 in descending order. 4, 2, -3, -50, -114 Put 1/37, -0.8, 1/3, -4, 3/2 in descending order. 3/2, 1/3, 1/37, -0.8, -4 Sort 4, 596909, 3 in increasing order. 3, 4, 596909 Sort 0.1, -1, 64/89, -1/10, -3 in increasing order. -3, -1, -1/10, 0.1, 64/89 Sort 266, 5, -5, -10 in decreasing order. 266, 5, -5, -10 Sort 141291, 0, 4 in increasing order. 0, 4, 141291 Put -5, -3, -68, 4, 6 in descending order. 6, 4, -3, -5, -68 Sort 1, 1/146, 31 in decreasing order. 31, 1, 1/146 Sort -808, -1, -20 in ascending order. -808, -20, -1 Sort 2, -32, 3, 33. -32, 2, 3, 33 Put 0.5, 37, 34/9, -2 in decreasing order. 37, 34/9, 0.5, -2 Sort 1, -5, -3, -1892 in decreasing order. 1, -3, -5, -1892 Put 1, 8, -17, 311, 4 in increasing order. -17, 1, 4, 8, 311 Put 2, -3, -11955, 1 in decreasing order. 2, 1, -3, -11955 Put 66, 2, 3, -4, 4 in descending order. 66, 4, 3, 2, -4 Sort -0.07, 1/5183, -4, 1/4 in decreasing order. 1/4, 1/5183, -0.07, -4 Put 2, 6, 40, -18 in increasing order. -18, 2, 6, 40 Put -67, -55, 2, -2 in decreasing order. 2, -2, -55, -67 Sort 20, -65, -3, -2 in descending order. 20, -2, -3, -65 Sort -45733, 2, -1 in ascending order. -45733, -1, 2 Sort -1, -3497, -5. -3497, -5, -1 Sort 27, 448, 0, 2 in increasing order. 0, 2, 27, 448
{ "pile_set_name": "DM Mathematics" }
e highest common divisor of o and 48. 12 Suppose 457 = 5*z - 2*h, 0 = -9*z + 7*z + h + 183. Let v(c) = c**2 + c + 13. Let i be v(0). Calculate the highest common factor of i and z. 13 Suppose 0 = 2*d - d - 47. Suppose 0 = 2*a + 2, 5*a = -2*o - 2*o - 53. Let f = o + d. Calculate the highest common divisor of f and 5. 5 Let d(i) = i**2 - 6*i - 2. Let r be d(8). Calculate the highest common factor of 112 and r. 14 Let o(w) = 28*w**2 + 3*w + 2. Let m be o(-2). Calculate the highest common factor of 12 and m. 12 Let b be 6 + -2 + 4/(-2). Let w(f) = 4 - 2 - 5*f + 10*f**2 + 4*f. Let k be w(b). What is the greatest common factor of 16 and k? 8 Let k = 25 - -4. Let m = k + -20. What is the greatest common factor of 27 and m? 9 Let b(t) = t**2 - t + 22. Suppose 0*o = 2*o. Suppose 5*x - x = o. Let u be b(x). Calculate the greatest common divisor of u and 33. 11 Let q be 10/3*36/8. Let f(p) = -p**3 + 10*p**2 - 7*p + 3. Let c be f(6). Calculate the highest common divisor of q and c. 15 Let s be ((-5)/3)/((-3)/9). What is the greatest common factor of s and 110? 5 Let b = -70 + 81. What is the highest common divisor of 121 and b? 11 Suppose -128 - 256 = -3*o. Calculate the highest common factor of o and 16. 16 Suppose 0*n = 5*r + 2*n - 173, 3*n = -2*r + 67. Let y be (-2 - -3)/((-2)/(-10)). What is the highest common factor of r and y? 5 Let l be -1 + (-127)/1*-1. Suppose -13 = -2*v + 15. What is the highest common divisor of l and v? 14 Let f be -3 - -112 - 2/(-2). Let m be (-3)/(f/(-52) - -2). Calculate the highest common divisor of m and 65. 13 Suppose -10 = -2*q + q. What is the greatest common divisor of q and 15? 5 Let r = 1 + 0. Let g be -5 + 14 - (3 - r). Calculate the greatest common factor of 63 and g. 7 Let d be 7/(323/748 - (-2)/(-11)). Suppose 4*g = -w + 132, 4*w - 109 = 5*g + 461. Calculate the highest common factor of w and d. 28 Let p(h) = -3*h. Suppose n + b = 2, 0 = -0*n + n + 3*b - 8. Let i be p(n). Let u = i - -8. Calculate the greatest common factor of u and 22. 11 Suppose -16*t + 520 + 56 = 0. What is the greatest common factor of 27 and t? 9 Suppose 0 = a - 0*a - 40. Calculate the highest common divisor of 16 and a. 8 Let b(q) = 2*q - 3. Let u = -4 + -5. Let p be b(u). Let v be 56/p*33/(-2). What is the highest common divisor of v and 4? 4 Let x be ((-22)/33)/(((-2)/(-114))/(-1)). Calculate the highest common divisor of x and 57. 19 Suppose o + 3*o = 0. Suppose 5*b + 78 = y, o*y = 3*y - 2*b - 234. Suppose y = 5*d - 72. What is the greatest common divisor of d and 6? 6 Let o be -1 + (-5)/(15/3). Let x be -1 + 0 + -4 + 2. Let f be x/o*(-44)/(-6). Calculate the highest common divisor of f and 33. 11 Let i = 212 - 30. What is the highest common factor of 26 and i? 26 Let f(g) = -263*g**3 + 2*g**2 + 2*g + 1. Let k be f(-1). What is the greatest common factor of 24 and k? 24 Let g be ((-12)/(-15))/((-1)/(-5)). Let h = 18 - -10. What is the highest common factor of g and h? 4 Let j be 0 + (18 - (-8)/2). What is the greatest common divisor of 2 and j? 2 Suppose m + 15 = -38. Let d = 83 + m. Suppose 2*u - 7*u + d = 0. Calculate the highest common divisor of 3 and u. 3 Suppose 3*c - 2*c + 5*l + 9 = 0, 3*c + l = 15. Let o be -3*(-1)/((-3)/(-2)). Calculate the highest common factor of c and o. 2 Suppose 9*b = 7*b + 34. Suppose -g - 51 = -4*g. What is the highest common divisor of b and g? 17 Let i be 4 + 0 - (2 + -2). Calculate the greatest common divisor of 28 and i. 4 Suppose -2*f + 3*o + 88 = -29, 2*o + 309 = 5*f. What is the highest common divisor of f and 42? 21 Suppose 7 = -8*a + 39. Calculate the highest common factor of 1 and a. 1 Suppose 0*o = 4*o. Let d = 41 + -29. Let m = d - o. Calculate the greatest common divisor of m and 96. 12 Let x(q) = 2*q**2 - q - 1. Let j be x(-2). Let z = -106 - -187. Calculate the greatest common factor of j and z. 9 Let p = -4 - -6. Suppose -96 = -5*s - s. What is the highest common divisor of s and p? 2 Let k = 0 + 5. Suppose w - 4*a = 26, 3*a = -0*w + k*w - 45. Let h = 16 + -1. Calculate the greatest common factor of h and w. 3 Let p(x) = x**2 - 3*x. Let k be p(4). What is the highest common divisor of k and 36? 4 Suppose -4*n = 2*q - 86, -45 - 2 = -q - 3*n. Let m be ((-28)/q)/((-2)/480). What is the highest common factor of m and 24? 24 Suppose 3*k + 2*d - 34 = 16, -26 = -k - 3*d. Suppose k - 113 = -m. Calculate the greatest common factor of 9 and m. 9 Let k = 17 - 11. Let g = 0 - -3. What is the highest common factor of g and k? 3 Suppose -3*g + 4*g = -1. Let k be (3/(6/22))/g. Let j = k + 18. Calculate the highest common divisor of j and 7. 7 Suppose 126 = 2*q + 42. Let f = q - 2. Calculate the greatest common divisor of f and 5. 5 Let p be (-15)/(-2)*64/48. What is the greatest common factor of p and 50? 10 Suppose -2*b - 5*o = -1 - 2, -5*b + 16 = 4*o. Calculate the highest common factor of b and 68. 4 Let h(c) = -c**3 + 5*c**2 - 4*c + 2. Let t be h(2). Let v be 0 - 8/(2 + -1). Let k be (180/v)/((-6)/8). What is the greatest common divisor of t and k? 6 Suppose 3*o = t + 2, -4*t + 12 = -3*o + o. Calculate the greatest common factor of 14 and o. 2 Let y(t) = 64*t - 1. Let l(m) = m**3 - 5*m**2 - 6*m + 1. Let k be l(6). Let w be y(k). What is the greatest common factor of w and 7? 7 Suppose 3*p - 21 = -5*j + 117, 108 = 4*j + 3*p. Calculate the greatest common divisor of 6 and j. 6 Let q(r) = -r + 7. Suppose 2*m - m - 7 = 0. Let i be q(m). Let t be (-1)/(2/(i + -30)). What is the highest common divisor of 15 and t? 15 Let w be (-4)/20 - (-2)/10. Let m be 3 + -2*(-12 - w). Calculate the greatest common divisor of m and 3. 3 Let x be 12/(1 - (-10)/(-4)). Let v = x - -16. Suppose -v*p + 120 = -3*p. What is the highest common divisor of 3 and p? 3 Let y(j) = -7*j - 7. Let f be y(-4). Calculate the highest common factor of f and 105. 21 Let z = 2 + 7. Suppose -u - 252 = -5*u. What is the greatest common factor of z and u? 9 Suppose i + 2*i = 3*c - 534, -2*c + 5*i = -362. What is the highest common factor of 44 and c? 44 Let h be ((-55)/15)/(1/(-6)). Calculate the highest common factor of 242 and h. 22 Let b be ((-15)/25)/(1/(-5)). Calculate the highest common divisor of 2 and b. 1 Suppose 3*q - 20 = -4*d, -q = -2*q + 4*d + 28. What is the highest common factor of 6 and q? 6 Let b(x) = x - 2. Let k be b(4). Let s be k/(-4) + (-50)/(-4). Calculate the highest common divisor of 18 and s. 6 Let a be (6 - 7)/((-1)/31). What is the highest common factor of 93 and a? 31 Suppose -5*o + 35 = 4*d + d, 2*d - 13 = -3*o. Let y be (1 - 49)*(5 + (-11)/2). Calculate the highest common divisor of y and d. 8 Suppose -4*k = 3 - 11. Suppose 22 = k*n + 4*j, 15 = 2*n - 2*j - 19. What is the highest common factor of 60 and n? 15 Let m be (-13 - -10)/(2/(-4)). Suppose -5*u + m*x - x + 15 = 0, 3*u = -5*x + 9. What is the highest common divisor of 24 and u? 3 Let k(h) = -h - 7*h + h + 1. Let r be k(-2). What is the greatest common divisor of 45 and r? 15 Let f be (2/(-3))/((-1)/24). Let k = 22 + -20. Suppose 0*c = -5*c + w + 205, -3*c + k*w + 130 = 0. What is the greatest common divisor of c and f? 8 Suppose 3*z - 186 = -4*g - 66, -z + 120 = 4*g. Suppose 8*u - g = 3*u. Suppose 4*r - 4*t = 12, r = -r - 2*t - 2. What is the highest common divisor of r and u? 1 Let u = 3 - 3. Suppose 3*o - 3 = -u*o. Suppose -3*t - 1 = -25. Calculate the greatest common divisor of t and o. 1 Let h = 34 - 71. Let p = h + 61. Let m = 87 - 51. What is the greatest common factor of p and m? 12 Let v = -128 + 219. What is the highest common factor of 7 and v? 7 Suppose 0 = 2*z + x - 4, 4 = 2*x - 4*x. Suppose -4*g + 120 + 12 = 0. What is the highest common divisor of g and z? 3 Let z(l) = -l**3 + 16*l**2 + 18*l - 8. Let f be z(17). What is the highest common divisor of 9 and f? 9 Let f(d) = -d**3 - d**2 - d - 7. Let m be f(0). Let p be (1 + m)*1/(-2). Let w = p + 5. What is the greatest common factor of w and 56? 8 Let l(w) = w**2 - 9*w + 5. Let c be l(9). What is the highest common divisor of c and 40? 5 Let z(s) = s**2 - 18*s + 11. Let m be z(18). Let b(j) = 2*j - 9. Let f be b(m). Calculate the greatest common divisor of 26 and f. 13 Let t = 160 + -72. What is the highest common factor of 22 and t? 22 Let a(d) be the first derivative of -d**4/4 - 14*d**3/
{ "pile_set_name": "DM Mathematics" }
Let o be d(0). Suppose -5*w - 4*v + 2083 = 423, o = 5*w + v - 1660. What is the hundreds digit of w? 3 What is the hundreds digit of 1916 - 2*2/(-4)*(100 + -95)? 9 Let z(o) = 91*o**3 - 19*o**2 + 141*o + 16. What is the units digit of z(8)? 0 Let n = 15898 + -2462. What is the thousands digit of n? 3 Let l be 0/((-3)/6*4)*1. Let f(t) = -13*t + 226. What is the hundreds digit of f(l)? 2 Suppose -3*p - 2*r + 4*r + 21 = 0, 2*p - 4*r - 22 = 0. Suppose 3*x + 1964 = p*k, -725 = 5*k - 2*x - 2691. What is the units digit of k? 4 Let i(m) = 240*m + 2000. What is the tens digit of i(72)? 8 Let k(a) = a**3 + 9*a**2 - 9*a - 8. Let q(h) = -h**2 - 5*h - 9. Let j be q(-4). Let o be (-9)/(j/(-4 + -1)). What is the tens digit of k(o)? 7 Let q be (-460)/(-15) + 4/12. Let l = q + -3. Let n = l - -36. What is the units digit of n? 4 What is the ten thousands digit of 3649228/55 + 2 + (0 - 8/5)? 6 Let g(z) = 6984*z**2 - 4*z + 11. What is the hundreds digit of g(1)? 9 Let s be (-26)/(-22) + (-4)/22. Let g be 1 - 4191/(-9) - s/(-3). Suppose 126 = f + 4*i, -4*f + g = 5*i - 26. What is the tens digit of f? 2 Suppose 58*k = -26764 + 213872. What is the tens digit of k? 2 What is the hundreds digit of 26/442 - (-240548)/34? 0 Suppose 0 = -4*c + 5*o + 1040 - 159, -o + 218 = c. Suppose 2*h - 5*h + c = 0. Suppose 0 = -s - 2*s + m + 195, 3*m = s - h. What is the units digit of s? 4 Suppose -58*o = -65*o + 21. Suppose 3*t + 72 - 2708 = a, -7914 = -9*t - o*a. What is the units digit of t? 9 Suppose -4437 = -3*s + 5604. Suppose -c + 5*a + 824 = 0, -16*c + 12*c + s = -3*a. What is the units digit of c? 9 Let p be (-2)/15 + 7024/30. Let x = p - 147. What is the tens digit of x? 8 What is the hundreds digit of 140/60 + 160216/24? 6 Let w(a) = 17*a - 7. Let x be (-6*1/1)/(4 - 6). Suppose -13 = -x*y - 2*y + 3*m, -3*m + 12 = 0. What is the tens digit of w(y)? 7 Let o(t) = -50*t + 197. Let u(l) = 52*l - 198. Let q(g) = 4*o(g) + 5*u(g). What is the units digit of q(18)? 8 What is the tens digit of (48/(-14))/((2/9968)/(11/(-22)))? 4 Let o(w) = -10*w - 179. Let d be o(-35). Let c = 261 + d. What is the hundreds digit of c? 4 Suppose -n + 5 = 0, 2*b - 3*n = -0*b - 13. Suppose -3*r - b + 13 = 0, -r = -5*z + 1631. What is the hundreds digit of z? 3 Let k = 37210 - 18492. What is the tens digit of k/13 + (-7)/((-1456)/32)? 4 Let l(i) = 78*i**2 - i + 302. What is the units digit of l(-15)? 7 Suppose 4*a = -14 + 46. Let w be (-3 + 4)/(4/a) + 86. Let x = 194 - w. What is the hundreds digit of x? 1 Suppose 4*n = -2*b + 218268, -28972 = n - 3*b - 83560. What is the hundreds digit of n? 5 Let m(x) be the second derivative of -x**5/20 + 5*x**4/12 + 5*x**3/3 - 11*x**2/2 - 2*x + 11. What is the units digit of m(6)? 3 Let f(j) = 32*j - 1. Let t be f(-1). Let v = 40 + t. Suppose -v*r + 705 = -2*r. What is the units digit of r? 1 Let r(j) = 72*j**2 - 15*j - 32. Let g = -405 + 402. What is the hundreds digit of r(g)? 6 What is the units digit of -5 + 1644/324 + 6466380/162 + -6? 0 Let v be (-3)/((-1)/4*-6). Let k(r) = 32*r - 7. Let b(s) = s. Let q(i) = b(i) - k(i). What is the tens digit of q(v)? 6 Let a be 0/((30/20)/(6/(-8))). Suppose -j - 71 = -76. Suppose a = -j*p + p + 668. What is the tens digit of p? 6 Suppose -2*t - 71979 = -4*x + 36495, -5*t = -x + 27105. What is the units digit of x? 0 Let d(p) = -3*p**2 - 6*p + 4. Let u be d(-5). Suppose 4*r + 447 = 8*r - 5*q, -5*r + 4*q + 570 = 0. Let s = u + r. What is the tens digit of s? 7 Suppose 4*l + 5*b + 8 = 0, -2*l - l + b = 6. Let p be 1*l/((-2)/(-3)). Let h = 93 - p. What is the tens digit of h? 9 Let d(y) = -11*y**3 + 2*y**2 - 14*y + 12. What is the hundreds digit of d(-8)? 8 Let p = 1273 + -478. What is the units digit of ((-3)/((-30)/8))/(6/p)? 6 Suppose 4*y - 145 = 3*n, -3*n - 111 = -3*y - 0*n. Let x(p) = 0*p**2 + 21 + y*p + 5*p**2 - 43*p. What is the tens digit of x(5)? 0 Let c = 151 - 151. What is the thousands digit of c + 2 + (6 - -1600)? 1 Let r = 12 + 12. Let b = 2431 + -2440. Let k = b + r. What is the units digit of k? 5 Suppose 20*p = 21*p + 15. Let s(y) = y**2 + 12*y - 34. Let w be s(p). Suppose -w*h = -h - 50. What is the units digit of h? 5 Let z(l) = 8*l**3 + 4*l - 2 + l**2 + 28*l**2 - 6*l**3 - 17. What is the tens digit of z(-14)? 2 Let c = -1015 - -1478. Suppose z + 4*u - 219 = 0, -4*z - c + 1313 = 3*u. What is the tens digit of z? 1 What is the tens digit of (-1130)/6*-15 - -2 - 3? 2 Let o(u) = u - 20. Let r be o(15). Let l(d) = -63*d - 13. What is the units digit of l(r)? 2 Suppose -2*t + 2*h = -h - 36, -3*t - 2*h + 67 = 0. Suppose -1880 = 11*a - t*a. What is the hundreds digit of a? 1 What is the hundreds digit of ((-18877940)/161)/20*(-14)/2? 0 Suppose -5*a + 5*j - 81 = -16, -4*a + j - 52 = 0. Let x(d) = -7*d**3 - 14*d**2 - 10*d + 1. Let w be x(-2). Let t = w - a. What is the units digit of t? 4 Let s be (-6)/6 + 1 - -13. Suppose -12*z = -s*z + 143. What is the hundreds digit of z? 1 Suppose -213 = -b + 4*u, -23 = b + 5*u - 191. Let t = b + 98. What is the units digit of t? 1 Suppose 2*q + 40571 = 5*r - 22305, 12583 = r - 3*q. What is the units digit of r? 4 Let b(t) = -7532*t - 12653. What is the units digit of b(-10)? 7 Let z(w) = 2*w**2 + 4*w - 39. Let t be z(-9). Let m = 449 - t. What is the tens digit of m? 6 What is the hundreds digit of 1 - (-12692 + (-4)/((-2)/12*4))? 6 Let j be 6/15 + 5/((-50)/5144). Let d = j - -288. What is the hundreds digit of (-4)/8*d - 0? 1 Let l be (319/33)/(3/342). Suppose -5*n + 1473 = -3*d - 1298, -2*n - 2*d = -l. What is the tens digit of n? 5 Suppose 0 = 7*d + d - 1200. Suppose -z + 150 + d = 0. Suppose 4*t + 2*t = z. What is the units digit of t? 0 Let d(o) = o**2 + 13*o + 14. Let y be d(-12). Suppose -y*l + 6*l - 52 = 0. What is the units digit of l/(-3)*(3 + -12)? 9 Let o(j) = -j**3 + 5*j**2 - 2*j - 4. Let g be o(4). Suppose 6*s - 1920 = g*s - 5*b, 2*s - 1928 = -3*b. What is the tens digit of s? 7 Let n(d) = -112*d - 110. Let t = 315 + -321. What is the units digit of n(t)? 2 Let q(w) = 9*w - 102. Let a = 79 - 63. What is the units digit of q(a)? 2 Let z = -811 - -14861. What is the ten thousands digit of z? 1 Suppose -4*r + 5*i - 31145 = -9*r, 2*i + 2 = 0. What is the thousands digit of r? 6 Let f = 281 - 278. Suppose q - 3*w - 455 = -6*w, 0 = f*q + w - 1405. What is the tens digit of q? 7 Suppose -22*d - 3 - 151 = 0. What is the units digit of 6/(-42)*6*d? 6 Suppose 11*t = 35 - 2. Suppose 2*u - 908 = -19*j + 21*j, j = t*u - 1354. What is the hundreds digit of u? 4 Let k = -10 + 62. Let p = 59 - k. Let u = p - -14. What is the tens digit of u? 2 Let r be ((-2)/8)/(6/(-48)). Let u = 332 - 298. Suppose 0 = -5*n + 2*j + 424, -r*n + 126 = -4*j - u. What is the units digit of n? 6 What is the ten thousands digit of 399222/20 + (-15)/75*(-8)/(-16)? 1 Suppose 2*j + 0*j - 4 = 0. Let o(s) = 16*s**2 - 20*s - 4*s**2 + s**3 - 5 - j*s**3. What is the units digit of o(9)? 8 Suppose -5*d - 136648 = -5*d - 19*d. What is the units digit of d? 2 Let x(d) = -10 - 3*d**2 + 9 + 2*d**2 + 75 - 4*d. What is the tens digit of x(6)? 1 Suppose -3*x + 4*m = -3773, 2*m + 1965 + 1816 = 3*x. What is the thousands digit of x? 1 Let x(p) = 2*p**3 - 47*p**2 - 26*p + 67. Let z be x(24). Suppose z*i = 1208 + 3162. What is the units digit of i? 0 Suppose 1587*w - 1580*w = 55895. Suppose -2*z = 2*x - 3182, x = -5*z + 2*x + w. What is the hundreds digit of z? 5 Suppose 245 = 14*a - 119. Let q(x) = -5*x + x**3 - 31 - 41*x**2 + a*x**2 + 10*x. What is the tens digit of q(15)? 4 Suppose t = -s + 517, 3*s + t - 1602 = -47. Suppose 7*p - s - 881 = 0. What is the units digit of p? 0 Let v = 1440 + -355. What is the tens digit of 20/(-7)*v/(-10)? 1 Let z(a) = 2*a**3 + 9*a**2 + 9*a + 3. Let u be z(-5). Let y = -65 - u. What is the tens digit of (-31*9/12)/(y/(-8))? 9 Let h be ((-28)/((-6)/(-3)*-1))/1. Let r(f) = 2*f**3 - 26*f**2 - 28*f + 8. Let c be r(h). Suppose -13*t = -c*t - 350. What is the units digit of t? 0 What is the hundreds digit of -4 + 1 - 222924/(-52)? 2 Let h(b) = b - 2. Let t(f) = -f + 1. Let x(v) = -5*h(v) - 4*t(v). Let s be x(4). Suppose l - 6 = -l, s*y = l + 217. What is the hundreds digit of y? 1 Let y = 44 + -42. Let h be 0*(-3)/6*y/(-2). Let p(c) = -c**3 + c + 74. What is the tens digit of p(h)? 7 Suppo
{ "pile_set_name": "DM Mathematics" }
+ 15 = -5*q, -34*q - 4*j - 36 = -22*q for q. -3 Solve 0 = -3*n + s + 2025 - 2039, 5*s = -4*n - 25 for n. -5 Solve -38 = 10*t - 2*y, -5*y = -91*t + 86*t - 14 - 21 for t. -3 Solve 0 = -62*p + 57*p + 2*y + 6, -10*y + 94 = 6*p for p. 4 Solve 10*s + 14 = -4*f, 3*f = -214*s + 216*s + 18 for s. -3 Solve 0 = -2*w + k + 2, 180*k - 184*k - 18 = -3*w for w. -2 Solve 4*o = l - 1, -782*l + 76 = -786*l for o. -5 Solve -3*l = -6*l - 2*o + 39, -2*l + 16*o = -8 + 34 for l. 11 Solve -481*h + 3*c + 3 = -482*h, -57 = 5*h + c for h. -12 Solve 207*t + 6*n + 42 = 209*t, -4*t - 5*n = -33 for t. 12 Solve 3*s - 3 = -3*t, 13*t = -4*s + 18*t - 5 for s. 0 Solve 4*x - 221*w + 35 = -224*w, -36 = 4*x + 4*w for x. -8 Solve 10 + 3 = -5*b - 3*h, 3*b + 8 = -2*h for b. -2 Solve x - 3*h = -h - 6, -18 = 3*x - 2*h for x. -6 Solve -4*j = 12, -4*q + 2*j - 165 = -155 for q. -4 Solve -4*p = 3*a - 31, -5*p = 12*a - 11*a - 3 for p. -2 Solve 6*y - 18 = 3*y + k, -32*k + 28*k = 0 for y. 6 Solve 0 = -2*p + 5*y + 39, -3*p + 23 = -300*y + 296*y - 18 for p. 7 Solve 4*d = -2*r - 12, -1426*d = -1427*d - 2*r - 9 for d. -1 Solve 5*r = 30*b - 29*b + r - 32, 0 = -7*r - 63 for b. -4 Solve -5*f - 10 = 2*j, -650*f = 5*j - 653*f - 6 for j. 0 Solve 6*w - w = 5, -12*n - 5*w + 0*w = -149 for n. 12 Solve -h - 1095 + 1085 = -4*l, l - 4*h = -5 for l. 3 Solve 0 = 2*z - 3*m - 14 + 22, 0 = -2*z + 5*m - 16 for z. 2 Solve -9 = y - 2684*i + 2686*i, 2*i = -8 for y. -1 Solve -4*p + 6 = 2*t, -5*p + 9 = -38*t + 41*t for t. 3 Solve 0 = -3*j - 6, -1356 + 1366 = 4*l - 3*j for l. 1 Solve 3*t + 63 = 6*n + 57, 4*t + 22 = 3*n - 2*n for t. -6 Solve -4*u + 40*h - 12 = 36*h, -12 = 4*u - 2*h for u. -3 Solve -4*d = -8, 0 = -4*a + 2*d - 3*d + 10 for a. 2 Solve -451*k + 6 = 2*i - 449*k, -3*i - 3 = -3*k for i. 1 Solve 2*o = -2*z + 2, -4*o + 145 = -5*z + 123 for o. 3 Solve 3*h = 2*f - 115 + 116, 12 = -4*f - 4*h for f. -2 Solve 3*a - 4*m + 34 = 30, 2*a = -4*m - 16 for a. -4 Solve -1 = -3*q - w, 4*q + 477*w + 36 = 481*w for q. -2 Solve -27 = 5*w + 4*c, -4*c = -5083*w + 5092*w + 39 for w. -3 Solve -3*t - 4 = -4*i, -12*t + 8*t + 4 = -3*i for t. 4 Solve -4*h = 2*m + 8, -251*m - 2*h - 16 = -247*m for m. -4 Solve 0 = 3*f + 5*z + 18, -83*f + 79*f = 2*z + 10 for f. -1 Solve 4*o + 4 = -4*a, 114*o - 112*o = 2*a + 6 for a. -2 Solve 5*f - 5*l - 30 = 0, 28 = -33*f + 36*f - 13*l for f. 5 Solve -4 = -c + r, 2537*r - 12 = 5*c + 2540*r for c. 0 Solve -1161 = -5*l - 4*f - 1176, 0 = -4*l - 2*f - 6 for l. 1 Solve -6*j - 8*j + c - 31 = 0, 5*c - 86 = j for j. -1 Solve 0 = -12*m + 15*m + 3*g - 33, -2*g + 6 = m for m. 16 Solve -2686*c = 2*y - 2687*c - 6, -5*y - 63 = 4*c for y. -3 Solve -102*u + 2*q + 11 = -107*u, -u - 2*q - 7 = 0 for u. -1 Solve m = 2*d + 8, 1953*m - 1950*m + 3*d - 42 = 0 for m. 12 Solve -c = 6514*k - 6514*k + 4, -k + 23*c + 190 = -24*c for k. 2 Solve 220*p + 8 = -q + 217*p, -4*q - 19 = -p for q. -5 Solve 0 = -4*j + r + 41, 116 - 131 = 3*r for j. 9 Solve 0 = 2*q - 85*n + 81*n + 8, 3*q + 4*n - 28 = 0 for q. 4 Solve -4*j - 3*j - 21 = -u, 6*j = 21*u - 20*u - 18 for j. -3 Solve 2*k = -5*c + 33, -3*k - 9305 = 2*c - 9327 for c. 5 Solve c - 3 = 3*z, 5*c = 4*z - 1929 + 1933 for z. -1 Solve 0 = g - i - 20, 3*g - i = 747 - 697 for g. 15 Solve 6 = -5*i - c + 17, 3*c = 48 for i. -1 Solve 4 = 3*f + o, -8*f - 31*o = -33*o + 8 for f. 0 Solve 615 = -3*z - 5*i + 560, -z - 5*i = 65 for z. 5 Solve 19*s + d - 7 = 18*s, 70*s - 71*s - 13 = -3*d for s. 2 Solve 4*w - 17 = -3*k, 3*w + k - 45 = -31 for w. 5 Solve 3*v - 16 = 4*o, 4*v - 5*o - 12 = -2*o for v. 0 Solve u = -811*r + 809*r - 18, 4*u = 3*r + 16 for u. -2 Solve -32 = -6*k + 4*l, 5*k - 3*l = 150 - 122 for k. 8 Solve -9*h + 27 = j, -3*h - 941*j + 9 = -942*j for h. 3 Solve -2*n = -6, 3130*n + 3 = -18*o + 3125*n for o. -1 Solve -8*b - 25 = -3*y, -21*y = -3*b - 25*y - 35 for b. -5 Solve 3*g = -4*p - 21, 4*p + 3276*g - 3274*g = -18 for p. -3 Solve 4*r - 3*y = 12, 3*r + 133 - 121 = -3*y for r. 0 Solve 4 = 2*h + 4*m, -557*h + 558*h + 4*m = 2 for h. 2 Solve -9 = y + k, -2*y - 91 = -3*k - 88 for y. -6 Solve 16 = 4*k, -61*f = -60*f - 3*k + 12 for f. 0 Solve -13*k - 13 = -14*k - a, 3*k + 4*a = 47 for k. 5 Solve -29 = -2*t + 5*u, 41*t - 2*u = 40*t + 12 for t. 2 Solve -8 - 10 = 5*m + 3*z, 4*z + 24 = 0 for m. 0 Solve 5373*s - 3 + 9 = 5378*s + c, 0 = 5*s - 3*c - 22 for s. 2 Solve 3*k - f = 16 - 12, -2*k = -11*f + 49 for k. 3 Solve 120*v - 245 = -106*j + 101*j, 2*j + v - 4 = 0 for j. 1 Solve -v = 3*c - 4, 64*c + 2*v = 67*c - 1 for c. 1 Solve -143 + 164 = 3*u + 5*x, -5*x = 2*u - 19 for u. 2 Solve -5*x - 35 = 2*j, -x + 144*j + 15 = 140*j for x. -5 Solve 4*m = -3*y - 88, 34*y = 32*y - 3*m - 65 for y. -4 Solve -4*i - 2*o = 10, 4980*o - 40 = 7*i + 4979*o for i. -5 Solve -n + 2*n + 9 = g, -3*g = 3*n + 21 for n. -8 Solve 3*n - 79*t - 23 = -78*t, 0 = -2*n - 5*t + 4 for n. 7 Solve 3 = 3*m - z, z + 130 = -3*m + 133 for m. 1 Solve -5*o - 3*w + 16 = 0, -85*w + 25 = 2*o - 90*w for o. 5 Solve 0 = -80*k + 81*k + 3*t - 3, -5*k + 4 = 4*t for k. 0 Solve 106 = -p - 4*k + 120, -2*k = -4*p - 16 for p. -2 Solve 0 = -15*z + 16*z - 10, 13*c - 10*c + 3*z = 42 for c. 4 Solve 3*l = -5*g - 25, -5*l + 110 = 5*g + 135 for l. 0 Solve 8*z - 4 = -367*s + 363*s, 5*s - 39 = 7*z for s. 5 Solve 8*g - 4*j + 172 = 0, 107*g - 102*g - 2*j + 105 = 0 for g. -19 Solve 3*u = m - 20, 54*u - 4*m = 55*u + 11 for u. -7 Solve n = -3*s + 40, 12*n - 3*s - 571 + 637 = 0 for n. -2 Solve -14 = 2*z - 24*o + 28*o, z - 2*o = 9 for z. 1 Solve -19 = -111*p + 109*p + 5*o, -3*o - 7 = p for p. 2 Solve 0 = 3*t - 9*y - 6, -649*t + 44 = -653*t - y for t. -10 Solve -943*v - 5*h - 40 = -948*v, 4*v + 4*h + 16 = 0 for v. 2 Solve -5*d + 2*m - 22 = 0, -4*d - 412 = -m - 395 for d. -4 Solve -7*i = 10*a - 15, 4*i - 3 = 4*a - 43 for i. -5 Solve -45*h = 4*c - 48*h - 46, -42 = -5*c - 4*h for c. 10 Solve 30764*j - 1 = 30769*j - 2*z, 0 = 3*j - z for j. 1 Solve 9*n = -5*v + 7*n - 2, 6*n + 6 = 5*v for v. 0 Solve -3*q + 20 = -3*k + 44, 7*q - 6 = -34 for k. 4 Solve 16 = 8*i - 5*h + 2, -10 = -4*i + h for i. 3 Solve -4 = 3*h - 4*h, 5*h - 3578 + 3558 = -2*l for l. 0 Solve -n - 28 = -14*i + 11*i, -12*n = i + 3 for n. -1 Solve -c = -4*b - 3, 0 = 5*b - 5*c - 8 + 23 for b. 0 Solve -3*u = 5*g + 35, -105*u = -108*u - g - 19 for u. -5 Solve 4*n - 3116*l + 3115*l = 15, 0 = -2*n - 4*l - 6 for n. 3 Solve 4*f + 175 - 76 = t, 21*t - 5*f - 104 = 0 for t. -1 Solve -2*z - u = -6, z - u - 21 = -6*z for z. 3 Solve -9*z + 3*d = -9, -9*z - 15*d + 14*d + 2 = -7*z for z. 1 Solve -83*y = -86*y + 3*u - 27, 8 = 3*y + 4*u for y. -4 Solve 5*x - l = 3, l - 8 + 15 = x for x. -1 Solve y - a - 7 = 0, 5665*y - 5*a = 5661*y + 29 for y. 6 Solve 0 = -m - 4*b - 35, 0 = 3*m - 4241*b + 4242*b + 17 for m. -3 Solve 20*v - 69 = 24*v + 5*h, 0 = -4*v - 4*h - 64 for v. -11 Solve 3 = -7*f + 2*j, -2695*j = 3*f - 2696*j + 1 for f. -1 Solve -w - 24*g = -26*g - 4, g + 27 = 3*w for w. 10 Solve 0 = -3*a + 3, -j + a - 64 + 63 = 0 for j. 0 Solve 10 = 2*p + 2*y, -38 = -5*p - 14*y + 5 for p. 3 Solve -11*w + 9*w = -4*r + 10, 4*w - 2 = -3*r for w. -1 Solve -4044*h - 23 = -4048*h - 3*r, 4*r - 48 = -h for h. -4 Solve 2*y - 23 = -22151*k + 22154*k, -y + k + 11 = 0 for y. 10 Solve -4939*o + 9 = l - 4937*o, 0 = 3*l + 3*o - 30 for l. 11 Solve s + 71 = -283*t + 279*t, 5*s + 70 = -5*t for t. -19 Solve 0 = -4*b - 5*j + 35, -3*j + 19 = 63*b - 61*b for b. 5 Solve -56*d + 60*d = 4*u - 96, 275 = 15*u + 2*d for u. 19 Solve 0 = -5*c - x + 41 - 62, -4*c = 4*x + 4 for c. -5 Solve 5*l = -z - 51, -3*z = -315*l + 313*l - 17 for z. -1 Solve 9*k - 11*k - 2*x - 2 = 0, -16 = k - 4*x for k. -4 Solve 4*h - 2*p = 18, -6*p = 5*h + 34 - 82 for h. 6 Solve 0 = 3*o + 5*w + 10, 15 = -2*o - 5*w + 10*w for o. -5 Solve 3*t + n - 45 = 0, -911*n + 913*n - 74 = -5*t for t. 16 Solve 20 = 297*s - 293*s, 19 = 3*m + 5*s for m. -2 Solve -60 = 4*k + n, 96*k - 64 = 101*k + 4*n for k. -16 Solve 4*g - 334*w = -335*w + 4, 2 = 2*g + 2*w for g. 1 Solve -997*z - 4*i = -998*z + 5, -i - 3 = -2*z for z. 1 Solve m = -3*k + 149 - 112, 0 = -5*m + 2*k + 100 for m. 22 Solve -31 = -5*z - 7*f, 980 = -z + 2*f + 993 for z. 9 Solve -51 = -s - 5*q - 72, 11 = -s - 3*q for s. 4 Solve 4*g - 2*b + 21 = 3, b + 251 = -50*g for g. -5 Solve 4*i - 6 = 3*b, -5*b + 4 = 3*i + 14 for i. 0 Solve 13*g - 5*c + 7 = -2 - 3, -g = 4*c - 21 for g.
{ "pile_set_name": "DM Mathematics" }
ree decimal places? -0.037 Round 0.0029437755 to 3 decimal places. 0.003 What is -359047 rounded to the nearest one thousand? -359000 What is 0.0506167 rounded to 2 dps? 0.05 Round 8.47246 to one dp. 8.5 Round -0.47761387 to 3 decimal places. -0.478 What is -2009.86 rounded to the nearest 10? -2010 Round -785314.52 to the nearest one hundred thousand. -800000 What is -2344523000 rounded to the nearest 1000000? -2345000000 What is 112950.43 rounded to the nearest 10000? 110000 What is -28961157 rounded to the nearest one hundred thousand? -29000000 Round -0.000060517125 to six decimal places. -0.000061 Round -0.000001845933 to six decimal places. -0.000002 Round 20.35664 to zero dps. 20 What is -1543.699 rounded to the nearest ten? -1540 What is -0.0000338515 rounded to five decimal places? -0.00003 Round -0.000000177435 to 7 dps. -0.0000002 What is -3243711000 rounded to the nearest one million? -3244000000 What is 10187620 rounded to the nearest one hundred thousand? 10200000 Round 783.5553 to zero dps. 784 Round -88608.2 to the nearest 100. -88600 What is -4.70251 rounded to 1 dp? -4.7 What is 0.000070644 rounded to seven decimal places? 0.0000706 What is -20175600 rounded to the nearest 100000? -20200000 What is 170.284 rounded to the nearest 100? 200 What is 1183956.9 rounded to the nearest 10000? 1180000 What is 0.00000233591 rounded to six dps? 0.000002 What is 0.041079577 rounded to four dps? 0.0411 Round 0.00002205681 to six decimal places. 0.000022 What is 0.000004785989 rounded to 7 dps? 0.0000048 What is 0.3437782 rounded to three dps? 0.344 What is 7441.9 rounded to the nearest one hundred? 7400 Round 0.033268048 to 4 dps. 0.0333 Round -0.00000149848 to seven dps. -0.0000015 What is -0.00000297326 rounded to seven decimal places? -0.000003 Round 568.19 to the nearest one thousand. 1000 Round -257996 to the nearest one thousand. -258000 What is 0.0000002405393 rounded to seven decimal places? 0.0000002 Round -120796400 to the nearest 1000000. -121000000 What is -47711300 rounded to the nearest one hundred thousand? -47700000 What is 0.030031386 rounded to four dps? 0.03 Round 0.00146924 to three dps. 0.001 Round -401.5917 to one dp. -401.6 What is -1289933000 rounded to the nearest one million? -1290000000 What is 0.00241868 rounded to five decimal places? 0.00242 What is 595027.89 rounded to the nearest one hundred? 595000 What is 0.0001263716 rounded to 7 decimal places? 0.0001264 Round 0.0004796252 to 6 dps. 0.00048 Round -0.0000001843399 to seven dps. -0.0000002 Round 0.039542982 to 3 decimal places. 0.04 Round 2866.025 to 0 decimal places. 2866 Round 0.002475704 to 4 dps. 0.0025 What is -6502.683 rounded to the nearest 1000? -7000 Round -0.0000024527 to 6 decimal places. -0.000002 What is 55.9486 rounded to 1 decimal place? 55.9 Round -1284988000 to the nearest 1000000. -1285000000 Round 0.00008366 to five decimal places. 0.00008 What is 2570.74 rounded to the nearest 1000? 3000 Round 6.560915 to the nearest integer. 7 Round -37.2225 to 1 decimal place. -37.2 What is -6624.689 rounded to zero decimal places? -6625 Round -111.6438 to the nearest 10. -110 What is 15.28622 rounded to one dp? 15.3 Round -0.6459429 to one dp. -0.6 What is 480.89503 rounded to one decimal place? 480.9 Round -0.0006139883 to four dps. -0.0006 What is 0.00025466594 rounded to 7 decimal places? 0.0002547 Round 0.00290978 to 5 decimal places. 0.00291 What is -0.0000025574602 rounded to seven decimal places? -0.0000026 What is 584212.3 rounded to the nearest 100000? 600000 Round -0.00665301 to three dps. -0.007 What is -24.828231 rounded to the nearest ten? -20 What is 0.00292962 rounded to six decimal places? 0.00293 What is 19298.72 rounded to the nearest ten? 19300 Round -517639000 to the nearest one million. -518000000 Round 5.12065 to the nearest integer. 5 Round 99.41366 to zero dps. 99 What is 9258.7 rounded to the nearest one thousand? 9000 What is -91.8397 rounded to the nearest one hundred? -100 What is 184.99488 rounded to the nearest ten? 180 What is -1.996674 rounded to two dps? -2 Round -5538155 to the nearest ten thousand. -5540000 Round 0.0000316347 to 7 dps. 0.0000316 What is 0.001181565 rounded to 6 dps? 0.001182 Round -0.019411145 to 5 dps. -0.01941 What is 0.002054044 rounded to four dps? 0.0021 Round 0.0047559843 to 5 decimal places. 0.00476 Round 0.0593599 to four dps. 0.0594 What is 225.804 rounded to 1 decimal place? 225.8 What is -0.00005787226 rounded to 6 decimal places? -0.000058 What is -0.001539695 rounded to 4 dps? -0.0015 Round 0.00951971 to three dps. 0.01 Round 0.0000541833 to 7 decimal places. 0.0000542 What is -10.095296 rounded to 1 dp? -10.1 What is -4523.96 rounded to the nearest 1000? -5000 What is -2487.1305 rounded to the nearest 100? -2500 What is 0.00000187824 rounded to six decimal places? 0.000002 Round 0.000141584 to five dps. 0.00014 What is -0.02898369 rounded to four decimal places? -0.029 What is 11013 rounded to the nearest one hundred? 11000 Round 174.422 to the nearest 10. 170 Round 1.0103461 to 0 decimal places. 1 What is -2028.0629 rounded to the nearest 10? -2030 Round -142189640 to the nearest 10000. -142190000 Round 0.002003442 to 6 dps. 0.002003 Round 10989590 to the nearest 1000000. 11000000 What is 0.00016063358 rounded to 7 decimal places? 0.0001606 What is 0.00009193149 rounded to seven dps? 0.0000919 What is -0.0081783 rounded to 4 dps? -0.0082 Round 185902 to the nearest ten thousand. 190000 Round 126624.3 to the nearest 100. 126600 What is -126387.3 rounded to the nearest 100? -126400 What is 0.008369431 rounded to 3 decimal places? 0.008 Round 14.48764 to one dp. 14.5 What is -2212386 rounded to the nearest ten thousand? -2210000 Round -5.56888 to two dps. -5.57 Round 398220700 to the nearest 1000000. 398000000 What is 0.196857 rounded to two dps? 0.2 What is 14.4213 rounded to 1 decimal place? 14.4 Round 21193114 to the nearest 100000. 21200000 Round 0.6335845 to four dps. 0.6336 Round -0.000049994 to 7 dps. -0.00005 Round -0.0000630532 to 6 dps. -0.000063 What is 4869059 rounded to the nearest ten thousand? 4870000 What is -1.17117 rounded to two decimal places? -1.17 Round -0.00126293 to 6 decimal places. -0.001263 Round 989620 to the nearest 10000. 990000 Round -786061 to the nearest one hundred thousand. -800000 Round 1328.0893 to the nearest 100. 1300 What is 334638.3 rounded to the nearest 100? 334600 Round 0.0000984642 to 6 decimal places. 0.000098 Round 55954.1 to the nearest 1000. 56000 What is -0.8069494 rounded to three dps? -0.807 Round -27477.1 to the nearest one thousand. -27000 Round 26128639 to the nearest 10000. 26130000 What is 1.36777 rounded to one dp? 1.4 What is 70.45142 rounded to the nearest 10? 70 Round -0.002891328 to three dps. -0.003 Round -447.6368 to the nearest 10. -450 What is 0.000003258083 rounded to 7 decimal places? 0.0000033 Round 0.027707 to 4 dps. 0.0277 Round -0.000003139287 to 6 dps. -0.000003 What is -0.00026972201 rounded to 6 decimal places? -0.00027 What is 0.0949689 rounded to two decimal places? 0.09 Round 2430.87 to the nearest ten. 2430 Round -3188.162 to the nearest 10. -3190 Round 302039000 to the nearest one million. 302000000 Round 5956800 to the nearest one million. 6000000 Round 0.0000006148147 to seven dps. 0.0000006 Round -0.00000512403 to 6 dps. -0.000005 Round -0.004879685 to 4 decimal places. -0.0049 What is 0.184882 rounded to two decimal places? 0.18 What is 815200 rounded to the nearest 1000000? 1000000 Round 3591.9 to the nearest one hundred. 3600 Round 1.10723 to the nearest integer. 1 What is -10153.59 rounded to the nearest 10? -10150 What is -10138.76 rounded to the nearest one hundred? -10100 Round -77627.546 to the nearest 10. -77630 Round 7266.942 to the nearest integer. 7267 What is 21.2106 rounded to the nearest ten? 20 Round 0.00000106479 to seven decimal places. 0.0000011 Round -15096311 to the nearest 1000000. -15000000 Round -68.5974 to the nearest ten. -70 Round 0.0233888 to two dps. 0.02 Round -0.003352506 to 6 dps. -0.003353 What is 15317.151 rounded to the nearest 100? 15300 Round 7922.196 to the nearest 1000. 8000 What is 90.12702 rounded to the nearest integer? 90 Round -27352.93 to the nearest 100. -
{ "pile_set_name": "DM Mathematics" }
(-3 - -10 - 8). 13 What is 64 + 17 + -20 + -35? 26 Calculate 2 + -1 + -197 + 207. 11 Evaluate (2 - -2) + (-1 - 4 - (44 - 47)). 2 32 - (33 - 23) - -12 34 Calculate (570 - 571) + (-3 - -35). 31 What is -1 - -18 - (14 - 11)? 14 What is the value of (-45 - -64) + -9 + 2 + -18? -6 Calculate -7 - -1 - -3 - (34 + -23 + 7). -21 What is (-211 - -230) + (4 - (2 - 1))? 22 What is the value of -2 + 6 + -13 - 4? -13 What is -2 - (11 - (6 - -2))? -5 Evaluate 8 + -8 + (-4 - -14). 10 (27 - 74 - 5) + 33 -19 Evaluate 2 + 5 - (-2 - 0 - (-42 + 23)). -10 What is the value of (-911 - -924) + -13 + -4 + 2? -2 Calculate 22 + -4 + -15 - 28. -25 -1 + -3 + (27 - 8) + -8 7 3 - 5 - (-3 - (-3 - (-7 + 6))) -1 Evaluate 9 - ((1 - 2) + (-17 - -15)). 12 Evaluate -9 - (-9 + -10) - (-6 - -21). -5 What is the value of 42 + -37 + (6 - 3 - 1)? 7 -11 - (11 - (-7 + 38)) 9 Calculate -1 + -16 + 11 - (21 + -31). 4 What is -32 + (-19 - -15) - -26? -10 What is (-24 + 9 - -20 - -5) + 4? 14 Calculate 7 - 1 - (-7 + 7 + 6). 0 Evaluate 11 + -42 + (9 + 6 - 7) + -5. -28 What is -13 + (-14 + 50 - 20)? 3 -507 + 497 - (0 - 14) 4 What is -9 - -14 - -7 - 11? 1 Calculate (6 - (-13 - -3) - 11) + -4. 1 What is the value of -802 + 804 + 1 + -12 + 1? -8 Evaluate 5 + (1 - 14) + -147 + 148. -7 Evaluate -9 + (0 + 2 - -8 - (-149 - -150)). 0 Calculate (-11 - (8 - 14)) + 2 + -2 + -4. -9 Calculate (-16 - (-14 + 17 + -18)) + (17 - 0). 16 Calculate 0 + -9 + 6 + 5 - (-9 - -3). 8 6 + 6 + -1 + -13 -2 What is (-19 - (-17 - 13)) + (-6 - 18)? -13 Evaluate 33 + -23 + -12 - 16. -18 Calculate 7 - (16 - (5 + -7 - 1)). -12 -47 + 39 - (-1 + 12) - -6 -13 Evaluate 3 - (9 + -6 + 11) - -11. 0 Calculate 2 + -22 - (16 - (-19 + 46)). -9 -5 + (10 - (-14 + 13)) + 2 8 Calculate ((-3 - -2) + 10 - 10) + 15. 14 Calculate 13 - (25 + 13 - 4) - 2. -23 Evaluate (7 - ((-14 - -7 - -15) + -2)) + 10. 11 Calculate -1 + (-1 + 7 - (94 - 75)). -14 What is -10 + (-7 - -39 - 14)? 8 Evaluate -1 + 2 + -4 + 0 + 6 + 9. 12 What is the value of -8 + (-6 + 8 - (10 + -29))? 13 What is the value of -24 + 59 - 53 - 16? -34 Calculate -2 + 3 - (14 + 0 + -6) - 2. -9 What is the value of -1 + 3 + (-8 + 13 - 2) + -3? 2 Calculate 27 + (-30 - (8 - 1)). -10 What is 12 - -1 - (-24 + 8) - 9? 20 What is the value of (-14 - -1) + (84 - 75) - -3? -1 What is the value of -9 + (-2 + 19 - (11 - 6 - 2))? 5 Evaluate 9 - (0 - -8 - (73 + -41 - 21)). 12 What is -7 - (-44 + 50 + 0 + -5)? -8 -6 + 1 + (-53 - (-31 + -34)) 7 -1 + (8 - 7) + 7 7 Evaluate (7 - 3) + -10 + -19 - (2 + -9). -18 Calculate 88 + -94 + (1 - 1 - -27) + -6. 15 -22 - (5 + (-16 - -10)) - (1 - 12) -10 Calculate 2 + 25 + 29 - 31. 25 -1 - (8 + 11 + -9 + -2) -9 What is the value of -2 - (-1 + (-29 - 8) - (-10 - 0))? 26 10 - (9 - (1 - -11 - (-5 + 1))) 17 What is -8 - (7 - 20 - -4)? 1 What is the value of -23 + 12 + -34 + 39? -6 Calculate (-2 + 14 - -4) + 5 + -1 + 3. 23 What is 35 - (27 + 32 + -18)? -6 Evaluate 125 + -131 - (0 + -1) - (1 + 8). -14 What is the value of 1 + -8 + 14 - (-5 + -1) - -7? 20 What is the value of (-2 - -15) + -17 + -4 + 5? -3 What is the value of 18 - (-28 + 33 + 19)? -6 Evaluate 27 + (14 - 46) + 6. 1 What is the value of (0 - (23 + -7 - (6 + 0))) + -4? -14 What is ((-11 + 3 - -13) + -7 - 4) + -6? -12 15 + -21 + -5 + 8 -3 What is (-1 + -2 - -8) + (-7 + -25 - -7)? -20 (-30 - -20 - -19) + (-17 - (-3 - 0)) -5 Calculate 14 + (-4 - (2 - 15) - 17). 6 What is the value of -8 + (4 + 5 + -5 - -6) - -3? 5 What is the value of 2 - (9 + -6) - (0 - -9)? -10 Evaluate 41 + -52 - (-3 + -3). -5 Calculate -17 + 54 + -48 + (0 - -1) + -1. -11 What is the value of 16 + -29 + 0 + 8? -5 What is the value of 6 + -4 + -4 + -6 + -2? -10 What is the value of -9 + -7 + -9 + 7? -18 Evaluate 160 + -144 - (0 + (-2 - -3) + 6). 9 Calculate -1 + 4 + (1 - (-1 + -3)) + -1. 7 What is 1 + 3 + (-10 - 15 - -13) - 2? -10 What is 0 + 4 + (-15 - -15) - -23? 27 What is the value of (16 - 12) + (1 - -6 - -1)? 12 Calculate -2002 + 2025 - ((-3 - -1) + -6). 31 What is the value of 53 - 25 - (6 + 0)? 22 What is the value of 16 + -8 + -2 + -2? 4 Evaluate -7 - -1 - (19 + -45 + 14). 6 Evaluate -20 + (8 + -26 + 6 - (-12 - -9)). -29 What is the value of 15 + -3 + -1 - (12 + -2)? 1 Calculate 53 + -40 + -34 + 13. -8 What is the value of 1 - 2 - (-3 - 16) - (1 - -6)? 11 What is the value of 19 - (10 + (7 - 12 - 3) + 9)? 8 Calculate -4 - (3 + (-46 - (-11 + -6 + 9))). 31 What is the value of -1 + -5 - ((-4 - (-3 + 11)) + -13)? 19 13 + 1 + (0 - 2) + -3 9 Evaluate 187 + -178 + (7 - (-1 + 0 + -2)). 19 What is the value of 29 - -27 - 63 - (-1 + 0 + -24)? 18 What is the value of 2 + -20 + (149 - 133)? -2 What is the value of -3 + -22 + (38 - 4)? 9 What is -30 + 27 + 2 - -5? 4 What is (7 - 2) + (93 - 96) + (8 - -1)? 11 What is the value of (1 - 8) + 113 + -111? -5 Calculate (7 - 2) + 19 + 5 + -10. 19 What is -6 + 7 + 4 - 3 - 7? -5 7 - (-9 - (-8 + -7)) 1 -32 + (-1 - (2 - 10)) + (224 - 225) -26 What is 9 + 7 - (-5 + 15)? 6 Calculate -36 + -1 + (234 - 211). -14 What is -8 - (32 - (-7 - -65))? 18 Evaluate 40 + -15 + 0 - -8. 33 Calculate (-4 - 35) + 21 + 35. 17 Calculate (-1 - (-3 - (1 - 13))) + -13 + 10. -13 Calculate -1 + 1 - ((-3 - 4 - -1) + 8). -2 -5 + -2 + -1 - (14 + (10 - 22)) -10 Calculate 1 + -14 - 1 - (43 - 46 - 1). -10 What is the value of (16 - (18 - 6)) + -12 - -1? -7 16 + (-32 - -26) + 2 12 Calculate 9 + -5 + (10 - 1) + (-2 - -1). 12 Evaluate 0 + 29 + (10 - 2 - 1 - 3). 33 Evaluate -14 - 1 - -3 - 14. -26 What is (-2 + 1 - ((-3 - -14) + -5)) + 1? -6 (-5 + 0 + 1 - -10) + -17 -11 Calculate -12 + 4 + 0 + 27 + -9 - 8. 2 Calculate (-2 - 0) + -306 + 332. 24 Calculate 531 + -498 - ((-2 + 2 - -7) + 2). 24 Evaluate 248 - 223 - (9 - (0 - 0)). 16 Calculate -2 - (943 + -942 - (-1 + 9 + 0)). 5 Evaluate -82 + 88 + 1 + (-1 + 2 - 1). 7 -6 + 9 + 0 + -6 + 7 + -15 -11 Calculate -17 - (10 + 3 - 15). -15 2 - ((1 - 7) + (114 - 109)) 3 (43 - 2) + (-864 - -825) 2 What is the value of 25 + -30 + (61 - 29)? 27 What is 9 + -6 - -5 - 4? 4 What is -53 + 61 + -11 - (0 + (-8 - -1))? 4 Calculate (8 - 0) + 20 + -14 + -5. 9 Calculate 7 + 9 + (4 - 13) + 3. 10 What is -7 + (7 - -3) - (27 + -15)? -9 What is the value of 25 + 0 + -10 + 3 - 7? 11 What is the value of (2 - -35) + (21 - 3) + -26? 29 Calculate (55 - 64) + 23 + -1 + -1. 12 Calculate (3 + -13 - -23) + -3. 10 -9 + (26 - -5) + 4 + 2 + -4 24 What is the value of 357 - 372 - (-3 + -32)? 20 What is (840 - 824) + 1 + (-1 - 2)? 14 -29 + 36 - (-6 - 0) 13 (11 - 10) + 2 - 17 -14 What is -44 - -2 - (-32 + -12 + 33)? -31 -5 - (-3 - (10 + -3 + 0) - 4) 9 Evaluate 1 - (40 - 15 - 15). -9 Calculate -16 - 2 - (-19 - -9) - (-4 - -1). -5 What is the value of -37 + (23 - (-18 + 13))? -9 Evaluate 10 + -7 - (1 + -5 + 0 + -1). 8 What is the value of 5 + -1 + -1 - (20 - (6 + 8))? -3 Calculate 1 + -1 + (1 - -1) + 487 + -509. -20 -8 - (-3 - 2) - -7 - -8 12 What is 1 + 6 - (13 + -37 + 35)? -4 Calculate 3 + -10 + 29 + 6 + -30. -2 32 + -6 + 16 - 26 16 8 - (6 + (-3 - 0 - -8)) -3 Evaluate 6 + -15 + 10 + 2 - 0. 3 Evaluate -8 + ((-1 - 3) + -6 - (-46 - -50)). -22 3 + (14 - 15) + -3 -1 (13 - (6 + 2)) + 3 + 8 16 Calculate 3 + -4 + (0 - 2 - (81 - 99)). 15 What is the value of -17 - (7 - (9 + 7))? -8 (4 - -2) + 4 + -27 + (10 - 1) -8 Evaluate (0 - -16 - (-244 + 253)) + 5. 12 Calculate 19 + 0 + -10 + 14 + -13. 10 What is (-65 - -66) + (1 - -8) - 3 - 11? -4 (8 - (3 - (-3 + 9))) + 24 35 Calculate (-6 + 8 - 0) + 0 + 1 - -1. 4 What is -3 - ((4 - 8 - -3) + -5 + 5)? -2 Calculate 1 + -3 + 7 - (-32 + 28). 9 Calculate 1 + (-4 - -11) + -9. -1 Calculate -6 - -11 - 1 - ((18 - 8) + -3). -3 Calculate 24 + 0 - (-374 - -385). 13 Calculate 0 - (-8 + 26 + -7). -11 -5 - -7 - (5 - 2) - (71 - 82) 10 What is 0 + 17 + -19 + 12 + 2? 12 -2 + -10 - ((3 - -16) + -40 + 19) -10 Evaluate -2 - -7 - 8 - -13. 10 Evaluate 4 + (3 - 2 - 5 - -30) + -2. 28 What is -10 - (-14 - (22 - 14 - -4))? 16 (-2 - -2 - (-16 + -11 + 27)) + -4 -4 3 - (-12 + 12) - 21 -18 27 - ((-8 - -11) + 13) 11 Evaluate 1 - (-112 + 118 - (-1 - -18)). 12 Calculate 0 - (-114 + 113 + -11 + 0). 12 (-8 - -1) + 21 - 7 7 What is 18 - (0 - (15 + -23))? 10 What is 10 - ((4 - -2) + -5) - (-3 + 3)? 9 -5 - (3 - 9) - (-1 - 5) 7 Calculate -9 + -1 + 7 + -57 + 55. -5 What is (-1 - 6 - -11) + 1 + 5? 10 (25 - (16 + 10)) + -18 -19 Evaluate -11 + (-29 + 44
{ "pile_set_name": "DM Mathematics" }
5 (c) 1 (d) -2.92 (e) 3 d What is the nearest to -39.2 in -2, 32, -5? -5 What is the nearest to -0.09 in 3, -19.5, 0.4? 0.4 Which is the closest to 7? (a) -0.2 (b) -4 (c) -0.034 (d) 5 d What is the closest to 536 in 0.02, -1, -1/2? 0.02 Which is the nearest to 0? (a) 0.132008 (b) 5 (c) -0.4 a Which is the closest to 0? (a) 1/4 (b) -28 (c) -5/18 a What is the nearest to 0 in 27, -1/9, -3, -2? -1/9 What is the closest to 47 in 6, -1, -4? 6 What is the nearest to 1 in 2/7, -0.01, -5, 0? 2/7 What is the nearest to -6 in -37, 0.2, 3, -119? 0.2 Which is the nearest to 9550? (a) 0.4 (b) -3 (c) 2/7 (d) 0.3 a Which is the nearest to 8/3? (a) -356 (b) 0 (c) -0.01 b What is the nearest to 0 in -1, -23/47, 2, -0.05? -0.05 Which is the nearest to -2? (a) 5 (b) -0.2 (c) -8/21 c Which is the nearest to 3/25? (a) -0.2 (b) -1 (c) 29 a What is the nearest to 2/5 in -1, -2, -3/349, 0? 0 What is the nearest to 1 in -0.1, -4, 2, 4, 1/201? 1/201 What is the nearest to 0.2 in 1, -1/18, 2/11, -4, -0.02? 2/11 Which is the closest to -564? (a) -1/9 (b) -5 (c) -3 b Which is the closest to -0.3? (a) 4 (b) 0 (c) 1/3 (d) -2.08 b What is the closest to 0 in -3.5, 0.044, 3? 0.044 Which is the nearest to -1/40? (a) -5/3 (b) -343 (c) 0.2 (d) -39 c Which is the closest to -2? (a) 289 (b) 2 (c) 2/9 c What is the nearest to -2.6 in -6, -0.045, -2/3? -2/3 What is the closest to -188 in 1/3, 3, 0.4, -0.8, -0.2? -0.8 Which is the closest to -0.3? (a) 1 (b) -5 (c) 3/22520 c Which is the closest to 49/8? (a) 4 (b) -2 (c) -10 a Which is the closest to -5/8? (a) -0.1 (b) -0.4 (c) 0.4 (d) -1/5 (e) -53 b What is the closest to -1/8 in -197, -67, 1? 1 Which is the closest to -1? (a) -30 (b) -0.5 (c) 10/7 (d) -4 b Which is the closest to -18/19? (a) 4 (b) -1/5 (c) 0.553 b Which is the closest to -2/19? (a) 0.07 (b) 4 (c) -0.2 c What is the nearest to 0.1 in 69, -2, -1/6? -1/6 Which is the closest to 4? (a) -5 (b) 345 (c) -390 a What is the closest to -3/4 in 3, 9, -35, 29? 3 Which is the nearest to -1/2? (a) 0.5 (b) -0.1 (c) 736 (d) 1/4 (e) 16 b Which is the closest to 2/5? (a) -0.3 (b) 0.5 (c) -93/140 (d) -0.1 b Which is the nearest to 1/3? (a) 3/4 (b) -1/7 (c) -4.6 (d) 5 a Which is the closest to -2/5? (a) 1/4 (b) -0.4 (c) 7/2 (d) 38/59 b Which is the nearest to 0.1? (a) -0.5 (b) 2978/35 (c) -1 a What is the closest to 0.2 in 5, 11, -5/28? -5/28 Which is the closest to 34/49? (a) -0.4 (b) 4/5 (c) -3.3 b What is the closest to -1 in 13, 0.24, -0.1161? -0.1161 Which is the closest to -2? (a) -128.9 (b) -35 (c) 0.2 c Which is the closest to -24? (a) -5 (b) 83 (c) -7/24 a What is the nearest to 10 in 0.04, -23, 2, 2/3, -2/15? 2 What is the nearest to 10 in 0.2, -104, 0? 0.2 What is the closest to -0.1 in 3.5, 3, 3.38? 3 What is the closest to -161644 in -0.4, 0.1, 0.3, -0.3? -0.4 What is the closest to 1/31 in -3/4, -1/17, -1? -1/17 Which is the nearest to 0.01? (a) -4/89 (b) 0.5 (c) 15 a Which is the closest to -0.1? (a) 14 (b) 1 (c) -0.5 (d) -10 c What is the closest to -3 in 3, -4, 59446, 2? -4 What is the closest to 0.1 in 2/11, -2/7, -5/106, -4/5, 29? 2/11 Which is the nearest to -2/5? (a) 22753 (b) -1/9 (c) 0.5 b What is the nearest to 222 in -1/3, -105, 0.2? 0.2 What is the nearest to -2 in 2, -10, -5/14, 0? -5/14 What is the closest to 0 in -1, -7/166, 2, -3? -7/166 What is the nearest to 0.1 in 4, -44/9, 0.036, 0.4? 0.036 What is the closest to -2.7 in -4, -2/29, 0, -0.3, 7/2? -4 What is the closest to 6 in 5, 0.5, 262? 5 Which is the nearest to 2? (a) -5/3 (b) 1199 (c) -0.08 (d) 0.2 d Which is the nearest to -597/4? (a) -5 (b) 2/9 (c) 1 (d) 2/5 a What is the closest to -1/3 in -348/5, -2/9, -0.7? -2/9 Which is the closest to -2/3? (a) 0.27 (b) -0.07 (c) 0.09 b Which is the closest to 2? (a) 4/13 (b) -3 (c) -4/5 (d) 0.04 (e) 2.8 e Which is the closest to -2/9? (a) 1/3 (b) 6/23 (c) -2 (d) 3.1 b What is the nearest to 0.2 in 0.3, -0.1, 1/4, 0, 52.72? 1/4 Which is the closest to 2/7? (a) -2 (b) 1/10 (c) -1 (d) 7/23 d What is the closest to -0.04 in 1447, 0, -4.7? 0 Which is the nearest to 3? (a) 0.2 (b) -32 (c) -0.6 (d) -0.07 (e) 1 e What is the nearest to 2/5 in 0, 5, 27545? 0 What is the closest to -8 in 4, 4.6, -0.01, -11? -11 Which is the nearest to 0.1? (a) 0 (b) 4/7 (c) -1 (d) -1/15 a What is the nearest to 0.194 in -0.5, 1, -496, 4? -0.5 Which is the closest to 29? (a) 11 (b) -3 (c) -2/85 a What is the closest to -3/2 in -0.3, 8/9, 7, 5? -0.3 What is the nearest to -11 in -4, -1, -2, -27? -4 What is the closest to 2/9 in 0.1, 997, 31? 0.1 What is the nearest to -1/5 in 3, -1, -2/77, -5? -2/77 What is the closest to 4 in -0.3, -2208, 1, 5, 0.1? 5 What is the closest to 7/4 in -0.0446, -4, 43? -0.0446 What is the closest to 1 in -26.6, 1/7, 11, 0.5? 0.5 What is the nearest to 0 in 1, 2/17, 0.008? 0.008 What is the nearest to 2/3 in -5, 3, 2/41, -15, 2? 2/41 What is the nearest to -6 in -641, -1, 1, -1/4? -1 Which is the nearest to 1? (a) 0.03 (b) 31 (c) -23 a What is the closest to 37 in 5, -3.2, 0.2, -0.5? 5 Which is the closest to 12/13? (a) 279.4 (b) -3 (c) 1/4 c Which is the closest to -1? (a) -1/75 (b) 3/5 (c) -4/3 c Which is the closest to 1/8? (a) -0.1 (b) 0.5 (c) -6/5 (d) 643 a Which is the closest to 0? (a) 6/5 (b) 0 (c) -203 (d) 3.91 (e) 0.4 b What is the closest to -71 in -5, 4, 0, 5, 4/7? -5 What is the closest to -14/3 in 27, -4, 0.044? -4 Which is the closest to 8? (a) -0.2 (b) 4 (c) -1997.7 b Which is the closest to 0.09? (a) -2/7 (b) 12 (c) -0.01 (d) 2/11 (e) -1/10 d What is the closest to -3 in 2/499, 9, -4/13? -4/13 What is the closest to 1738 in 1, 5, -14? 5 What is the closest to 0.2 in -2586, -3/4, 0, 4? 0 What is the closest to 79 in 2/3, 3, 2? 3 Which is the closest to -0.1? (a) -2 (b) -1/7 (c) 0 (d) -4 (e) 1952 b Which is the closest to 33? (a) 3 (b) 4/27 (c) -3/5 (d) 0.3 a What is the nearest to 2.6 in -0.5, -96, -0.28? -0.28 What is the closest to 1 in -3, 8, -2/21, 363? -2/21 What is the nearest to 241 in -1, 0.59, 0, 2, 5? 5 What is the closest to 13.5 in 26, -1/3, 0, -2, 4? 4 What is the closest to 4/7 in 1, -0.4, 5/12, 110/9, 2/9? 5/12 What is the nearest to 0 in 0, -1/4, 6? 0 What is the nearest to -1/2 in -7/5, -0.5, 69, -2/3, -5? -0.5 Which is the nearest to -21/4? (a) -46 (b) -2 (c) -2/7 b Which is the closest to 14? (a) -1.24 (b) 2.5 (c) 5 c Which is the closest to -1/2? (a) 4 (b) 15.78 (c) 0 c Which is the closest to 11/12? (a) -2 (b) -1/5 (c) -1/2 (d) 2 d What is the nearest to 0 in -4, -5, 0, -12/13? 0 Which is the closest to 0? (a) -0.04 (b) -1 (c) -0.1091 (d) 0 d What is the nearest to 1/10 in 0, -7/110, 8, -2/11? 0 What is the closest to -1 in -4, 6, 189, -2, 4? -2 What is the nearest to -0.219 in -0.5, 5, -41, -2/11, -0.2? -0.2 Which is the closest to -0.11? (a) -0.27 (b) 1/3 (c) -2/9 (d) -1 (e) -8 c What is the closest to 2 in 2/7, 0.17, 1/14, 7/4? 7/4 What is the closest to -1/3 in -2/27, -0.4, 1, -4? -0.4 Which is the closest to 1/26? (a) -7/3 (b) -18/5 (c) -2/9 c Which is the nearest to -7/6? (a) 1 (b) -2 (c) 70 (d) 0 b What is the closest to 2/7 in 0.4, -4/69, -12, 2? 0.4 What is the nearest to -1/4 in 1, 18, 11, -10/3, 3? 1 What is the nearest to 1 in 20, 31/6, 1/81? 1/81 What is the nearest to -78 in -4, -3, 3/11? -4 Which is the closest to 198? (a) 3 (b) -2 (c) 5/12 a Which is the nearest to 0.77? (a) -2/5 (b) -0.5 (c) 7 (d) -1/3 d What is the nearest to 0.12 in 1/35, 0.1, 3, -5? 0.1 Which is the nearest to 2/9? (a) 0.3 (b) -31 (c) 59 (d) -4 a Which is the nearest to -2? (a) 1/2 (b) -12 (c) 15 (d) -4 d Which is the nearest to -2? (a) 32/101 (b) 3/2 (c) -2 c What is the closest to -0.3 in 2, 63.48, -4? 2 Which is the closest to 387? (a) -3 (b) -637 (c) -2 c Which is the nearest to -9? (a) 2/11 (b) 1/4 (c) 0.0785 (d) 0.4 c Which is the nearest to -1? (a) 2/9 (b) 654 (c) -0.5 (d) 44 c What is the closest to 1087 in 3/2, 0.06, 1, -2/13, 0.1? 3/2 Which is the closest to 0? (a) 4 (b) -31 (c) -9 (d) -4/33 (e) 2/9 d Which is the closest to 421? (a) 4/3 (b) 2/3 (c) 0.4 a What is the nearest to 13 in 0
{ "pile_set_name": "DM Mathematics" }
-2 + 1.8. Sort y, r, -2/7 in descending order. y, r, -2/7 Let l be (119/(-21) - -6) + 29/(-69). Put -5, -1/3, 4, l in ascending order. -5, -1/3, l, 4 Let v be -9*-3*(-4)/36. Sort v, 4, -1. v, -1, 4 Suppose i = -2*c + 5*c + 24, -3*i = -5*c - 40. Let z be ((-3)/(-2))/(3/c). Let m(k) = 2*k - 2. Let r be m(3). Sort r, z, -3. z, -3, r Let k = -0.01 - 0.01. Let p = k + 2.02. Sort -2/11, p, -0.3. -0.3, -2/11, p Let o = -0.3 + 0.4. Let d = -0.3 + o. Sort d, 2/5, 2 in descending order. 2, 2/5, d Let i = 63.7 + -64. Let s = 1.99 + 0.01. Let w = 2.4 - s. Sort w, i, 4. i, w, 4 Let d = 4 - 4. Suppose 4*v + v - 10 = d. Let p = 1 - 1. Put p, -4, v in decreasing order. v, p, -4 Let m be -1*1/((-1)/(-4)). Let i be 2 + -2 - (2 + -2). Suppose -10 = 5*f + 5*n, 2*n - 3 = -4*f - 13. Sort m, f, i in decreasing order. i, f, m Let r(d) = 0 + 8*d - 2 + 5 - 5. Let m be r(-8). Let z = -326/5 - m. Sort z, -5, -1/3 in descending order. z, -1/3, -5 Let p(u) be the second derivative of -u**4/12 + 4*u**3/3 - 4*u**2 + u. Let o be p(7). Sort 0, 1, o in decreasing order. 1, 0, o Let h = 8 + -9. Let t = 7 + -5. Let k be (-5)/t*32/(-140). Put h, 0.3, k in increasing order. h, 0.3, k Suppose -2*n + 24 = -5*k, -4*n - 6 = n + 4*k. Let g(r) = r + 10. Let c be g(-13). Sort c, n, -1. c, -1, n Suppose 0 = -5*o + 3*o - 10. Let m be o/9*8/20. Let i = -3 - -7. Put i, 2, m in increasing order. m, 2, i Let g = -23.6 + 24. Sort 2, g, 4 in increasing order. g, 2, 4 Suppose 0 = h - 2*h. Let c(a) = -a - 6. Let d be c(-4). Sort -3, h, d in increasing order. -3, d, h Let p = 0.2 + -2.2. Let a be ((-57)/(-126))/1 + (-1)/6. Put p, 0.4, a in ascending order. p, a, 0.4 Suppose -5*j - 1 = 9. Let n(u) be the second derivative of u**5/20 - u**4/12 - u**3/6 - 3*u**2/2 - 2*u. Let b be n(0). Put 3, b, j in decreasing order. 3, j, b Let n = -1.1 + 1. Suppose -2*a + 0*a - 3*z + 26 = 0, -4*a + 84 = -2*z. Let d = -16 + a. Put n, 5, d in descending order. 5, d, n Let w be (-6)/44*(-4)/(-3). Let r = 6 - 2. Sort r, -2, w. -2, w, r Let x = 0.157 - -3.923. Let a = 0.08 - x. Let d = -1/3 - -5/24. Sort a, d, -0.3. a, -0.3, d Let g(k) = k**3 + 10*k**2 - 9*k + 15. Let j be g(-11). Let a = j + 11. Put -2/3, a, 1 in decreasing order. a, 1, -2/3 Suppose 4*x = 44 - 60. Sort -5, x, 19 in descending order. 19, x, -5 Suppose 0 = x + 3 - 1. Let b be (-5)/x*(-30)/(-25). Suppose -7 - 8 = -b*a. Sort a, 2, 0 in descending order. a, 2, 0 Let c = -10 + 11. Sort 4, -2, c in descending order. 4, c, -2 Let q be 6/4*8/78. Let d = -0.2 + 1.2. Sort d, -5, q. -5, q, d Let u be (-27)/60 - 1/(-4). Let g be (4/12)/(1/15). Put u, -5, g in decreasing order. g, u, -5 Let s be (6/4 - 2)*4. Let h(k) = k**2 - k + 1. Let o be h(2). Sort o, s, 0 in decreasing order. o, 0, s Let k(x) = -2*x + 8. Let y be k(7). Let i = y - -6. Sort i, -0.2, -2 in descending order. i, -0.2, -2 Suppose 2*f = 2*y - 16, 0 = -0*f - 4*f - 16. Suppose -2*k = k - 12. Suppose -y*s - 9 = -v, v = -k*v + 3*s + 11. Put -5, v, -1 in ascending order. -5, -1, v Let d = -3 - 0. Let j(n) = 7*n + 1. Let f be j(d). Let q be 6/f*(-3 - -1). Sort q, 0, 2/13 in descending order. q, 2/13, 0 Let g be (-2)/(-4)*8 - -1. Let x be (-5)/20 + g/4. Sort -2, -5, x. -5, -2, x Let q = 176 - 178. Let i = -1 - 3. Sort -4/7, q, i in descending order. -4/7, q, i Let x = 33 - 16. Let u = -12 + x. Suppose -5*z + 5*i + 5 = i, 5*z + 20 = -i. Put u, z, -2 in increasing order. z, -2, u Let k = 0.178 - -8.892. Let m = k - 0.07. Let b = -5 + m. Sort -3/5, 3, b in ascending order. -3/5, 3, b Suppose 2 = -2*s - 6. Put 9, 1, s in ascending order. s, 1, 9 Let x = -0.09 + 5.09. Let k = 2 + 0. Let d = k - x. Sort 0.3, -2/13, d. d, -2/13, 0.3 Suppose -4*j - 14 = -2. Sort j, 3, 0 in decreasing order. 3, 0, j Let a(o) = o + 7. Let t be a(-5). Suppose j - 8 + 2 = -i, t*j = -4*i + 14. Put i, -4, -5 in descending order. i, -4, -5 Let j(z) = -z**3 - z**2 - 8. Let o be j(0). Let x be o/4*2/28. Sort 1/9, 0, x in ascending order. x, 0, 1/9 Let a = -16/51 - -4/663. Sort 2/11, a, 0 in decreasing order. 2/11, 0, a Let h be (-4)/(-6)*387/86. Let d(q) = -q**2 + 2. Let o be d(0). Put -3, h, o in ascending order. -3, o, h Suppose -29*p = -14*p - 345. Sort p, -1, 1 in descending order. p, 1, -1 Let c = -10 + 7. Let b = 1.26 - 0.96. Sort c, b, 5. c, b, 5 Let s be 63/15 - 2/10. Let v = 0 - -1. Suppose 0 = m - v. Sort s, m, 3. m, 3, s Let q = -0.24 - -0.54. Put 0.4, q, -3 in increasing order. -3, q, 0.4 Let k = 4 - 3. Let o(g) = g**2 - 6*g + 1. Let h(n) = n**3 - n - 1. Let v be h(2). Let m be o(v). Put m, -2, k in increasing order. m, -2, k Let x = 15 + -20. Let b(k) = -k**2 - 5*k - 1. Let w be b(-4). Sort -2, w, x. x, -2, w Let k be ((-6)/5)/((-6)/20). Suppose 12 = k*v, 0*v = i - v + 3. Suppose -4*m = -i*m - 20, 0 = f - 3*m + 16. Sort f, 4, 2 in decreasing order. 4, 2, f Suppose 4*i = 8*i. Sort 3, 4, i in ascending order. i, 3, 4 Suppose -2*d = -d + 9. Let h be (-6)/d*(-3)/9. Let l = 37 + -187/5. Sort l, h, 2/5 in ascending order. l, h, 2/5 Let r be 2/3 + 52/(-6). Let j be (1851/14)/((-6)/r). Let n = j - 176. Sort n, -2/3, -1 in ascending order. -1, -2/3, n Suppose -19 = 5*p + 6. Let c(n) = -n**3 - 2*n**2 + 1. Let d = 20 - 21. Let g be c(d). Put 1, g, p in decreasing order. 1, g, p Let j = -0.94 - 0.06. Let c = -2.6 + -0.4. Let p = c + j. Sort -2, p, -0.4 in decreasing order. -0.4, -2, p Let s = -8.9 - -8.8. Put 2/7, s, -3/4, 5 in decreasing order. 5, 2/7, s, -3/4 Let c = -3.6 - -1.6. Let l = 2 + -1.8. Let o = -4/125 - -286/1125. Put c, l, o in descending order. o, l, c Let a = -9 + 14. Suppose 0 = -2*o + o + 17. Suppose -a*g - 8 = o. Sort 5, g, 3 in increasing order. g, 3, 5 Suppose 4*k = 6*k - 8. Put -5, k, 1 in increasing order. -5, 1, k Suppose -3 + 11 = 4*k. Let n be 4/6 - (-20)/(-3). Let z = k + n. Put 2, z, -5 in decreasing order. 2, z, -5 Let s(n) = n**3 - 3*n**2 - 3*n - 5. Let h be s(4). Let r = 0 + 0.1. Put r, 3, h in ascending order. h, r, 3 Let y = 9.2 - 1.2. Let d = 0.06 + -5.06. Let k = y + d. Put 1, 4, k in descending order. 4, k, 1 Suppose a - 6*a = -10. Let b be 1*(a + 0) - 6. Suppose -5*w - 4*i + 3 = 0, 5*w - 2*w - i + 5 = 0. Sort b, w, -5 in increasing order. -5, b, w Suppose 4*k = 4*q - 1 - 7, -k = q + 6. Sort 1/2, -8, q, 3/2 in decreasing order. 3/2, 1/2, q, -8 Let i(q) be the first derivative of -q**2/2 - 8*q + 2. Let s be i(-6). Suppose -x - 5 = -1. Sort -3, s, x in descending order. s, -3, x Let n = 0.1 - 0.3. Let l = n - -8.2. Let g = l + -13. Put -3, g, 1/4 in descending order. 1/4, -3, g Let h = -0.1 + 0.3. Let t = 3.2 - 5. Let m = t + 1.4. Put m, -2/17, h in decreasing order. h, -2/17, m Let z = -13 + 3. Let y = z - -14. Let p = -4 + 6. Sort p, -4, y in descending order. y, p, -4 Let t = 0.004 - -3.996. Sort t, 11, 0 in descending order. 11, t, 0 Let y = 13 + -21. Let b = 3 + y. Let v be (-2)/(-5) - (-6)/10. Sort -2, v, b in descending order. v, -2, b Suppose 4*d - 16 = g, 2*d + 16 = 5*g + 6*d. Let n(k) = -k**2 - 3*k - 3. Let t be n(-2). Put 3, t, g in ascending order. t, g, 3 Suppose 0 = -4*i - 4, 3*v - 2*i = 7*v + 10. Sort -3, -4, v, 5. -4, -3, v, 5 Let h = 5.2 - 2.2. Let t = h + -8. Sort 4, -2, t in decreasing order. 4, -2, t Let w = -7.04 + 5. Let b = w + 2.1. Put -2/21, 2/9, b in decreasing order. 2/9, b, -2/21 Let b be -5 + (1 - 0) + (-60)/(-15). Sort -10, -4, 4, b in decreasing order. 4, b, -4, -10 Suppose 10 = 5*q - 0*q. Sort -3, q, -4. -4, -3, q Let j = -4.5 + 4. Sort 6, j, -1/6 in ascending order. j, -1/6, 6 Let i be 7/(-14)*2/1. Put -16, i, 5 in increasing order. -16, i, 5 Suppose 9*y - 21 = 2*y. Put -1, y, -2 in increasing order. -2, -1, y Suppose -2*i + 4*s - 10 = 0, -2*i + s = 3*i - 20. Suppose 0*n + 4 = 2*n. Put i, -4, n in ascending order. -4, n, i Suppose 3*l + 2*a - 40 = -3*a, 4*a - 35 = -3*l. Let t be ((-18)/(-3))/3*(-4)/2. Put t, l, -1 in increasing order. t, -1, l Let g = 0.004 - -0.196. Sort 3, -0.2, 0.1, g. -0.2, 0.1, g, 3 Let k = 115/2 + -57. Sort k, -4/5, 3, 0. -4/5, 0, k, 3 Let a = -0.4 + -0.1. Let r = 0.1 - a. Let l = -0.4 + r. Sort -2, 1/3, l in decreasing order. 1/3, l, -2 Suppose 2*d - 29 - 3 = 0. Let m = 11 - d. Put 2, -3, m in ascending order. m, -3, 2 Let l = -24 - -20. Let a = 4 - 0. Put 0, a, l in descending order. a, 0, l Let x = 7 - 6. Let j = x + 3. Sort 2/7, 1/9, j in decr
{ "pile_set_name": "DM Mathematics" }
- (-72407)/183. Calculate the greatest common divisor of 237 and u. 79 Let m be 370/8*(-4)/10*-4. Suppose 15*c = 13*c + m. What is the highest common factor of c and 111? 37 Suppose -p - 1 + 16 = 0. Suppose -z + 7 - 24 = 2*y, -5*z + 4*y = 43. Let b(h) = -h**2 - 16*h - 10. Let j be b(z). What is the greatest common factor of j and p? 15 Suppose -70*d + 63*d + 168 = 0. What is the highest common divisor of d and 32? 8 Suppose c = -5*h + 64, -h + 0*c - 8 = -5*c. Let b(f) = f + 15. Let l be b(105). Calculate the greatest common divisor of l and h. 12 Let w(k) = 7*k + 9. Let o be w(16). Let d = 217 - o. What is the highest common divisor of d and 8? 8 Suppose -16 = -t - 2*p, 2*t - 14*p + 9*p - 50 = 0. Let o be 2/(-4) - (-183)/6. Calculate the greatest common factor of t and o. 10 Let p = -24 - -26. Suppose -2*i = 5*w - 23, -4 = -p*i + 4. Suppose 0 = l + w*l - 256. What is the highest common factor of 8 and l? 8 Let y be ((-75)/(-10) - 6)*(2 + 0). Suppose -5*h + 12 = 2. Suppose l - 19 = -h*q + 19, y*l = -6. Calculate the greatest common divisor of 10 and q. 10 Let d = -310 + 320. What is the highest common factor of 22 and d? 2 Suppose 98*l - 93*l - 115 = 0. Calculate the greatest common factor of l and 184. 23 Suppose 0 = -4*l + 38 + 178. Suppose -3*w = 5*q - 849, q + 0*q - 173 = w. Let t = q - l. Calculate the highest common factor of t and 13. 13 Let h be (-16)/(-12)*(88 - 1). Suppose -g + 69 = y - 53, y - h = -3*g. What is the greatest common factor of 25 and y? 25 Let j(p) = -p**3 + p**2 + 7*p + 3. Let v be j(0). What is the greatest common factor of 48 and v? 3 Suppose -53*t = -3*t - 6200. Calculate the highest common divisor of 682 and t. 62 Let w = -288 - -323. Calculate the greatest common factor of w and 5. 5 Suppose -3*n = -5*l - 40, -3*l + 2*n + n = 24. Let r be (33/88 - 317/l)*1. What is the highest common divisor of r and 16? 8 Let c = 30 + -12. Let y(m) = 2*m**2 - 2*m - 15. Let f be y(-5). Calculate the greatest common divisor of c and f. 9 Let r = 6 - 3. Suppose -r*n + 15 = -0*n. Suppose -a - 2*d + 6 = 0, 0*a + a = n*d + 13. What is the greatest common divisor of 8 and a? 8 Let u be (-1)/4 - (((-10)/40 - 9) + 6). Suppose 0 = 3*g - 2*b - 23, 5*g - b - 2*b = 39. Calculate the highest common divisor of u and g. 3 Suppose -27*p + 20*p = -308. Suppose p = -15*w + 16*w. What is the greatest common factor of 11 and w? 11 Let z = -727 + 969. What is the greatest common divisor of z and 44? 22 Suppose 1 + 109 = -10*t. Let u be -2 + (-1 - (2 + t) - 4). What is the highest common factor of 18 and u? 2 Let k be 10/125*-5 - (-284)/10. Calculate the highest common factor of k and 8. 4 Let o be ((-10)/(-12))/((-5)/(-150)). Calculate the highest common factor of o and 20. 5 Suppose -15*a + 18*a = -2*q + 606, 3*a = 12. What is the greatest common factor of 66 and q? 33 Suppose -3*q + 4*g + 300 = 0, -5*q + 477 = -30*g + 31*g. Calculate the highest common divisor of q and 36. 12 Let s be 3/(-4) + (-1)/4. Let a be (-46)/s - (-1 + 1). Let c = a + -25. What is the highest common factor of 7 and c? 7 Let g(z) = z**3 - 4*z**2 + 13*z - 10. Let j be g(8). Suppose -8*a + j = -90. What is the highest common divisor of a and 22? 11 Let a be (7/2 - 3)/(2/420). Let l = a - 54. Suppose -h + 6*h = 85. Calculate the highest common factor of h and l. 17 Let c = -875 + 353. Let a be 3 - (c/14 - (-22)/77). What is the highest common divisor of a and 60? 20 Suppose 18*m - 32 = 10*m. What is the greatest common factor of m and 54? 2 Suppose -4*a = -16, 0 = 2*g - 7*a + 4*a - 20. Calculate the highest common factor of 752 and g. 16 Suppose 135*w - 141*w = -192. What is the highest common factor of 24 and w? 8 Suppose -3*y - 368 + 17 = 0. Let q be (-2899)/y + (-2)/(-9). Calculate the highest common factor of 10 and q. 5 Suppose -2*z = -7*z + 15. Let f(b) = b**2 + b. Let x be f(z). Suppose 0 = 3*m + x, -m - 8 - 18 = -2*c. Calculate the greatest common divisor of 33 and c. 11 Suppose -13*m = -307 - 57. What is the highest common divisor of m and 196? 28 Let y be (-38)/(-209) + (-1483)/(-11). Let m = 234 - y. What is the greatest common divisor of 9 and m? 9 Suppose -1 + 5 = n. Let q = 61 - 55. Let w(t) = 3*t**2 - 16*t + 8. Let f be w(q). What is the greatest common factor of f and n? 4 Suppose -3*c + 3*s + 40 = 7, -3*c - 4*s = -47. Suppose 16*m = c*m + 54. What is the greatest common divisor of m and 162? 18 Let j = 22319 + -22316. Suppose 0 = -3*r + 6 - 3. What is the greatest common factor of j and r? 1 Let a be 6 + -2 + -6 + 4. Suppose -b - a = 0, -4*m + 4*b + 71 = -201. What is the highest common factor of m and 22? 22 Let i be -3 - 45/6*-18. Calculate the greatest common divisor of i and 33. 33 Suppose -b = 3*r, -4*b - 4*r = -50 + 10. Suppose 15 = -2*v - 67. Let f = 4 - v. What is the greatest common divisor of b and f? 15 Let r be (-39)/351 + (-1)/(18/(-776)). What is the highest common factor of r and 559? 43 Let y(p) = p**3 - 15*p**2 + 3*p + 26. Let w be y(15). Suppose 5*f - w = 9. Calculate the highest common divisor of 16 and f. 16 Suppose 2*l + 3*l = 25, -5*l - 125 = -3*t. Let b(v) = -2*v**3 - 5*v**2 + v + 11. Let o be b(-2). What is the greatest common divisor of o and t? 5 Let c(a) = 3*a**3 - 7*a**2 + 2*a + 3. Let x be c(2). Let d be 0 + (-1 - -38) - 1. What is the greatest common divisor of d and x? 3 Let i = 669 - 658. What is the greatest common divisor of 88 and i? 11 Suppose -3*n = -114 - 30. Let q(c) = -373*c + 2270. Let s be q(6). Calculate the greatest common divisor of s and n. 16 Let x be 7 - (-194 - 2)*5. What is the greatest common factor of x and 47? 47 Let v = 32 + -22. Let k = -5 - 87. Let w = k + 142. What is the greatest common factor of v and w? 10 Suppose 0 = 3*s, -3*s - 5 = 4*r - 17. Calculate the highest common factor of 24 and r. 3 Suppose 4*u + 41 = 5*g, -4*u = 4*g - 5*u - 24. Suppose -3 - g = -4*j. Suppose j*n + 3*n - 85 = 0. What is the highest common divisor of 17 and n? 17 Suppose -4*k = -7*k + 1176. Calculate the highest common factor of 49 and k. 49 Let m = -35 - -51. Suppose 2*t - t + 2*n = 15, m = 4*n. Let p(c) = 2*c**2 + 3*c - 2. Let r be p(-3). What is the highest common divisor of t and r? 7 Suppose 1534 = 15*s - 12*s - 5*o, 2 = 2*o. Calculate the greatest common factor of s and 57. 57 Let m be 0 - -1 - (7 - 3 - 19). Calculate the greatest common divisor of m and 72. 8 Suppose 382 = 3*q + c - 5*c, -144 = -q - 2*c. Suppose 4*f = u + q, 2*u + 2 + 2 = 0. What is the highest common divisor of 11 and f? 11 Let a = 133 - 128. Suppose -a*l - 7*l = -168. What is the greatest common divisor of 14 and l? 14 Let s(a) = 2*a**2 + 15*a + 133. Let b be s(-9). Calculate the greatest common divisor of 60 and b. 20 Suppose -10*f + 642 = -2148. Calculate the greatest common factor of f and 31. 31 Suppose -2*c + 474 = -0*c + 4*m, 2*m = 0. What is the greatest common divisor of c and 3? 3 Suppose 5*o - 11 = 5*j - 31, 2*j - o = 7. Suppose 3*u + 18 = -5*c, c - 2*u + 14 = -0*u. Let p be (c/10 + 0)*-45. What is the highest common divisor of p and j? 3 Suppose 4*t - 472 = -3*g - 140, -3*g - 5*t = -337. What is the highest common divisor of 78 and g? 26 Suppose -3*x - 25 = -4*g - 6*x, g + 11 = 5*x. Suppose -3*v + 4*i = -26, g*v + 3*i + 20 - 63 = 0. Calculate the highest common factor of v and 50. 10 Suppose -3*t = -4*t + 3*k + 96, -2*t + 200 = -4*k. Suppose -2*y = 13 - 47. Suppose -5 + y = x. Calculate the highest common factor of x and t. 12 Suppose 2*p = 8 + 8. Let a = 34 - 26. Let s(x) = 10*x - 24. Let k be s(a). What is the greatest common divisor of k and p? 8 Let v(h) = -h + 5. Let t be 3 + 1/(3 - 2). Let x be v(t). Let w be 40 + 1 - (0 - x). What is the highest common divisor of 105 and w? 21 Suppose 0 = -17*c + 113 + 176. Calculate the greatest common factor of c and 153. 17 Suppose -9*c + 40 = -5*c. What is the highest common divisor of c and 80? 10 Let h(v) = -10 - 3*v + 1 + 2*v**2 + 2 - 3. Let n be h(8). Let t = 166 - n. What is the highest common factor of 12 and t? 12 Let a(d) = -d + 72. Let f be 2 + (-7)/(7/2). Suppose -6*k + k = f. Let t be a(k). What is the greatest common factor of t and 24? 24 Let l be (-2)/9 + 1 + 310/18. What is the greatest common divisor of l and 1278? 18 Let l = 176 + -84. What is the highest common factor of 322
{ "pile_set_name": "DM Mathematics" }
2. Let m be r(-14). Let l = a + m. Does 17 divide l? False Let d = 2508 + 30651. Is 63 a factor of d? False Suppose 0 = -o + 98 - 20. Let r be 1/((-1)/o*3). Let t = r + 30. Does 3 divide t? False Suppose -2*p + 240 = 2*p - 52*p. Let d(z) = -2*z**2 - 5*z - 4. Let g(x) = 3*x**2 + 5*x + 3. Let b(n) = 6*d(n) + 5*g(n). Is 11 a factor of b(p)? False Suppose 4*a = 7*a - 24. Suppose 14*j = a*j + 1572. Suppose -22 = l - j. Is 16 a factor of l? True Let f(n) = 99*n + 190*n**2 - 34*n - 32*n - 47*n + 132*n**2 + 16. Is 10 a factor of f(2)? False Let f(v) = -v**3 - 13*v**2 - 25*v - 9. Let i be f(-15). Let x = i + -483. Is x a multiple of 5? False Let f(g) = -10*g + 114. Let t be f(11). Suppose t*d = 4*p + 5115 - 799, p + 4313 = 4*d. Is 59 a factor of d? False Suppose 0 = 2*w + 4, 2*l - 9136 = 4*w - 6*w. Is 116 a factor of l? False Let v = -119 - -77. Let q be (-6)/v + 26/14. Suppose 102 = 3*d + 2*y, y = 3*d + q*d - 170. Does 34 divide d? True Let k be 2/(-4) - ((-24)/(-16) - -3). Let w be 0 + (1 - -4) + k. Suppose 3*m - 5*h - 355 = w, -4*h + 5*h - 241 = -2*m. Does 40 divide m? True Is 21 a factor of -279*(456/(-54) + 10)*-3? True Suppose 267 = -4*k + 71. Let b be 4/7 + (-315)/k. Does 21 divide 1 + -5 - b/(7/(-46))? True Suppose -h - 50 = -54, -k + 1215 = -4*h. Let w = 2180 - k. Is w a multiple of 73? True Suppose -u + 4*v = -63825, -63865 = 2923*u - 2924*u - 4*v. Does 19 divide u? False Let f(q) = 2*q**3 + 3*q**2 + 8*q - 5. Let k(p) = -2*p**2 - 60*p + 5. Let u be k(-30). Is 36 a factor of f(u)? True Let i be (-4 - -4)*4/(-10 + 2). Does 11 divide i - (1 - 0) - -61? False Suppose -4*w = -3*w - 5. Suppose -w*s + 507 = -3213. Is s a multiple of 42? False Let r(o) = o**2 + 155*o**3 + 1 - 3*o + 234*o**3 + 2*o**2. Let l be r(1). Suppose -83*g + 78*g + l = 0. Is 13 a factor of g? True Suppose -1587 = 10*z - 6987. Is 9 a factor of z? True Let o be (1686/(-9))/(20/90). Let p = o + 1359. Does 51 divide p? False Let g = -357 - -255. Let h = g - -553. Is h a multiple of 11? True Let a = -9825 - -18041. Is 52 a factor of a? True Let y = -505 - -507. Suppose -49 = -6*j + 5*j + b, 0 = -y*j + 3*b + 95. Is j a multiple of 15? False Let k(x) = x**3 - 8*x**2 - 2*x + 22. Let u be k(8). Suppose -2*i + 1168 = -4*b, -19 = -5*b + u. Does 66 divide i? True Suppose -2*q + 649 + 219 = 0. Suppose -16*z + q = -15*z. Is 14 a factor of z? True Let z be (-1 - 1)/(8/(-16)). Suppose -2260 = -z*t - t. Suppose -585 = -4*m - 5*n + 56, -3*m + t = -2*n. Is m a multiple of 11? True Does 61 divide (-36)/15*1647150/(-316)? False Does 97 divide (-226)/(-452)*1244*10? False Suppose -4*b + c + 21 = 2*c, 4*c = 5*b. Suppose 3*j - f = 10, 0*f + f - b = -4*j. Is 19 a factor of 1/(j - 226/114)? True Let c = 138 + -106. Suppose -w = -2*o - 16, -3*o + c = -w + 52. Is 8 a factor of w? True Let y be (-5)/((-1)/1) + -1. Suppose -2*j = -y*u - 492, 0*u - 1160 = -5*j - 4*u. Is 43 a factor of j? False Suppose 0 = -0*q - 2*q + 18. Let x(n) = -75*n + 1772. Let z be x(20). Suppose q*f - 124 - z = 0. Does 22 divide f? True Suppose -14281 = -4*x - 5*w, -10*w + 5*w - 17885 = -5*x. Is x a multiple of 7? False Let o(s) = -s**3 + 56*s**2 - 95*s + 339. Is o(53) a multiple of 68? False Suppose -24*u = -27*u + 9. Suppose 0 = -u*o - 62 + 173. Suppose -o = -f + 53. Does 30 divide f? True Let l be (2/7)/(39/(-273)). Is 9 a factor of ((-4 - 2)/(-18))/(l/(-2058))? False Suppose 3*h - 3 = -0*h. Let y(d) = -32*d**3 + d**2 + 37*d**3 - 2*d**2. Is 2 a factor of y(h)? True Let u = -80 - -81. Suppose 0 = -3*h + n - 265, u = -n + 5. Let t = h + 106. Is 4 a factor of t? False Suppose 23*o - 2118 = 274. Suppose -w + o = -95. Is 32 a factor of w? False Suppose -27*d + 84 = -8*d - 5901. Does 9 divide d? True Is (-4351576)/(-88) + (16/176 - 2/(-11)) a multiple of 25? True Suppose 10 = -2*d + 3*t - 5*t, -2*d - t - 7 = 0. Let q be 0 + d - (-9)/9. Is 28 a factor of -2*q/(-5) - (-4147)/55? False Suppose -3*x + 21700 = 15*a - 10*a, 4*a = 2*x - 14430. Is x a multiple of 12? False Let d(m) be the second derivative of -m**5/20 - 2*m**4/3 + m**3 + 13*m**2/2 + 44*m. Does 3 divide d(-9)? False Let n(h) = 77*h**2 - 54*h + 652. Is n(10) a multiple of 36? True Let v = -1252 - -2238. Let r = v + -548. Does 9 divide r? False Let p(l) be the second derivative of l**4/12 - 8*l**3/3 + 67*l**2/2 - 3*l. Let a be p(9). Is 6 a factor of (a/(-7))/((10/427)/(-5))? False Let q = 757 + -742. Suppose 0 = 13*u - 16*u + q, 6420 = 5*d + 3*u. Does 87 divide d? False Let s(y) = -y**3 + 89*y**2 - 377*y - 224. Is 7 a factor of s(84)? True Let o be -1*0/(28/(-7)). Suppose -31*w + 30*w + 225 = o. Is w a multiple of 9? True Suppose -5*v - 175 = 3*w, 2*v - 4*w + 72 = -24. Let d = v + 38. Suppose 4*o + d*o = 5*q - 170, q + 3*o - 53 = 0. Is 19 a factor of q? True Let b be -67 - (1 - (-4 - -6)). Let w = -74 - b. Let a(g) = -g**3 - 8*g**2 - 3*g - 3. Is a(w) a multiple of 21? True Let x(z) = z**2 - 6*z + 14. Let o be x(10). Let c = o + -50. Suppose 0 = -3*q + 15, -5*y - c*q - 93 + 443 = 0. Is y a multiple of 18? False Let q = -3 - -35. Let s = -19 + q. Suppose s*u = 4*u + 216. Does 8 divide u? True Suppose 2*w - 878 = 2*x + 3*x, 4*x - 413 = -w. Let l = w - 202. Is 3 a factor of l? False Let c(g) = 3*g**2 + 83*g + 422. Let v be c(-5). Let z = 121 - 214. Let n = v - z. Is 35 a factor of n? True Suppose 0 = -249*g + 289*g - 12320. Is 15 a factor of g? False Let c(p) = -p**2 - 5*p + 1161. Let a be c(-35). Let x(u) = u - 7. Let d be x(0). Let j = d + a. Does 12 divide j? False Let n be 2280508/1577 - 2/19. Let a = n + -847. Is 88 a factor of a? False Suppose 306*v - 312*v + 7458 = 0. Does 116 divide v? False Suppose -2*j = -2*s - 62, -58 = 2*s + 2*j + 16. Let r = -29 - s. Suppose -4*n = -r*h + 369, -n + 216 = 3*h + 2*n. Is h a multiple of 18? False Let u(j) = 2*j**2 + 148*j + 141. Is 8 a factor of u(-74)? False Suppose 0 = -w - 264 + 7044. Does 4 divide w? True Suppose -152*q + 162*q - 15840 = 0. Is q a multiple of 48? True Let h(d) = -175*d**3 - d**2 - 5*d - 4. Suppose -12 = 3*a + 3*w, -10*a + 14*a = 4*w + 8. Is 35 a factor of h(a)? True Let o = 2148 - 601. Is o a multiple of 17? True Let a(m) be the third derivative of m**5/2 - m**4/24 + 3*m**3/2 - 2*m**2. Let i(j) = -j**3 - 26*j**2 + 3*j + 81. Let l be i(-26). Is a(l) a multiple of 49? False Let u = -65 + 65. Suppose 18*m - 8*m - 420 = u. Does 14 divide m? True Let i(v) = 15*v + 362. Let c be i(-27). Let g be (-1)/((4/868)/(-1)). Let t = g - c. Is t a multiple of 32? False Suppose -2807 = -39*m + 32*m. Is 2 a factor of m? False Let s be (6 - 2)*-1*(-9)/4. Let i(y) = -y**2 - 1. Let x(b) = 7*b**2 - 30*b - 1. Let h(t) = 2*i(t) + x(t). Is h(s) a multiple of 22? True Suppose 4102 = 91*k - 84*k. Let t = k - 124. Is t a multiple of 41? False Suppose 6639 = 3*b + 4*p, -56*b + 4*p = -61*b + 11089. Is 89 a factor of b? True Let l be 9/4 - 2 - 4110/(-8). Let d = l + 1218. Does 16 divide d? False Suppose -257258 = -72*m + 113511 + 267367. Does 29 divide m? False Suppose 0*s = 6*s - 1296. Suppose -16*z + 120 = -s. Is z a multiple of 7? True Suppose 10*r = -4*r + 98. Suppose 0 = 2*n + 50 - 154. Let f = r + n. Is f a multiple of 3? False Let m = 442 + -430. Suppose 0 = -m*d - 19*d + 38192. Does 56 divide d? True Let k(d) = 2*d**3 + 20*d**2 + 4*d - 10. Let s = -50 + 42. Does 8 divide k(s)? False Let s be (4 - 18)*((-15)/(-2))/(-3). Let m = -35 + s. Suppose 4*k + 3*c = 372 - 32, 4*k - 5*c - 308 = m. Is k a multiple of 36? False Let h(b) = 2*b. Let w be h(2). Suppose -6*z + w*z + 35 = -3*g, 0 = -g + 3. Is z a multiple of 2? True Suppose 612*r - 5975 = 617*r. Let q = 2188 + r. Does 30 divide q? False Let n be 5*1/1*1. Let b be 70/(-28)*(2 - -2). Is 2 a factor of ((-25)/b)/n - (-54)/4? True Let z(p) = -4*p + 24. Let y be z(10). Let k be (y - -18)/(4/6) + 1290. Suppose 5*t + 453 = k. Is 24 a factor of t? True Suppose -c + 29 = -4*w, -5*c + w + 166 = 21. Let i = -1 + 51. Let f = i - c. Does 7 divide f? True Suppose -148*t + 385730 = -63*t. Does 61 divide t? False Let w(h) = 78*h - 29. Let n be w(11). Suppose 8*r - n = 1331. Is 45 a factor of r? True Let z(m) = 19 - 4*m - 2*m + 0*m - m. Let c be z(-11). Suppose 3*y - c - 15 = 0. Is 25 a factor of y? False Let f(h) = 8*h - 36. Let x(r) be the first derivative of -5*r**4/2 - r**3/3 + r**2/2 + r + 4. Let a be x
{ "pile_set_name": "DM Mathematics" }
factor of ((-71)/2 - -1)*12/(-9)? False Let j = -40 - 0. Let d = -118 + 58. Let l = j - d. Is 12 a factor of l? False Let t(c) be the first derivative of c**3/3 + c**2 + c + 11. Let v be (-3)/(-1) - (0 - 1). Is t(v) a multiple of 16? False Is 9 a factor of 20 - 5/((-5)/2)? False Suppose -u + 5 = 0, u = -2*r - 2*u + 19. Is 14 a factor of 1/(r + 278/(-140))? True Let t(a) = a**2 - 3*a - 5. Let p be t(5). Let q be (-7 - -9)*(-2)/(-2). Is 2 a factor of ((-12)/(-10))/(q/p)? False Suppose 2*j - 44 - 11 = 5*q, -4*j = -20. Let w(o) = -4*o**2 - 11*o - 34 + 21 + 3*o**2. Is 3 a factor of w(q)? False Let c(q) = -4*q**2 - 3*q. Let d(m) = 3*m**2 + 3*m - 1. Let a(l) = -4*c(l) - 5*d(l). Is a(6) a multiple of 13? False Let q = 113 - -9. Let y = 202 - q. Is y a multiple of 12? False Suppose 6*s - 384 = -0*s. Does 16 divide s? True Let m = 40 - 22. Is 6 a factor of m? True Let k(g) = -g**3 + 8*g**2 + 9*g + 2. Let q be k(9). Does 6 divide ((-4)/6)/(q/(-18))? True Let w(p) = -p**3 + 6*p**2 + p + 10. Is 4 a factor of w(6)? True Suppose 0 = -4*t - 0*t + 24. Let d = t - 19. Let g = 41 + d. Is 14 a factor of g? True Suppose -10*q - 760 = -15*q. Does 38 divide q? True Let r(t) = t**2 + 3*t - 10. Is r(-6) a multiple of 5? False Suppose 3*o - 39 = 3*j, 0*j - 59 = -4*o - 3*j. Suppose -4*m - o = -6*m. Let p = m - -27. Is 17 a factor of p? True Let t be 6/(-10) + 126/(-15). Let a be (-6)/t*33/2. Let j = 35 - a. Does 24 divide j? True Let s(m) = -m - 14*m**2 - m - m + 2*m + 8 - m**3. Is 11 a factor of s(-14)? True Suppose -23*y = -27*y + 660. Is y a multiple of 15? True Let d(m) = 36*m**2 + 2*m - 2. Is 18 a factor of d(1)? True Is (27/45)/((-1)/(-5)) - -57 a multiple of 4? True Suppose -3*c + 129 = 3*w + 21, -4*w = c - 36. Is c a multiple of 12? True Suppose -5*b + 97 = -53. Is 30 a factor of b? True Let b(v) = -v**2 + v + 20. Is b(0) a multiple of 5? True Suppose 0 = -3*q + 6, -5*q + 7 + 27 = t. Is t a multiple of 6? True Suppose -3*g + 26 = 4*z, -2*g = 5*z - 0*z - 29. Does 18 divide (-3 - -4)/(g/108)? True Suppose -4*x - 2*m + 21 = -3*x, 43 = 3*x + m. Suppose -4*v + 1 = x. Does 15 divide 42 + (-6)/9*v? False Let a(z) be the second derivative of z**4/12 + z**3/6 + 2*z. Does 16 divide a(-7)? False Suppose 0 = -2*r + 6*r - 8, -2*b + 5*r + 510 = 0. Is b a multiple of 12? False Is 13 a factor of (2/(-6) - (-22)/33)*1014? True Let x(m) = -2*m**3 + 2*m + 1. Let r be x(-1). Let k be (-1)/(0 + r/6). Let c(y) = -y + 8. Does 14 divide c(k)? True Let o(r) be the second derivative of r**8/6720 - r**7/420 + r**6/120 + r**5/40 + r**4/4 + 3*r. Let q(f) be the third derivative of o(f). Is 13 a factor of q(6)? True Let n = 31 - 17. Let f = 40 - n. Let p = f + -10. Does 16 divide p? True Let z(m) be the third derivative of 0 + 1/12*m**4 + 5/6*m**3 + 3*m**2 + 0*m. Is z(5) a multiple of 6? False Let i(o) = -8*o - 3. Is i(-2) a multiple of 5? False Suppose -5*x + 4*x + 11 = 0. Is x a multiple of 10? False Suppose 29 = f + 7. Suppose 4*q - 2*l - 118 = 0, 47 = 2*q + l - f. Does 7 divide q? False Let j = 7 - 5. Let r(i) = i**3 + 7*i**2 + 2*i**2 - 8 - 11*i - 2*i**j. Is 16 a factor of r(-8)? True Let b = 3 - -2. Suppose 1 - 11 = -b*a. Suppose 0 = a*n + 7 - 1, -2*n + 6 = 2*c. Does 4 divide c? False Suppose 0 = -k + 5*k - 8. Suppose -15 = -8*h + 9. Suppose k*r + 3*q - q - 6 = 0, h = -r + 5*q. Is r even? True Let p(x) = 3*x**2 - 16*x + 5. Is 38 a factor of p(-4)? False Does 2 divide 4/2 - 20*-1? True Let i = 2 + 6. Let p = i + 0. Is 2 a factor of (-10)/4*p/(-5)? True Suppose 4*k - 104 = -36. Does 17 divide k? True Let w(r) = 2*r**3 - r - 1. Is w(3) a multiple of 10? True Let a be 18/(-27) - (-26)/3. Is (99/(-36))/((-2)/a) a multiple of 5? False Suppose 3*k = 3*x - 492, -2*x - 134 = -4*k - 452. Let q = x - 108. Suppose -2*l = 5*p - q, 6*l - 2*l - p - 89 = 0. Does 15 divide l? False Suppose 6*s - 2*s = 44. Let y(g) = g**2 - 10*g + 11. Does 14 divide y(s)? False Let w = 0 - -5. Let m = w - 3. Suppose -m*o - 3*o + 70 = 0. Is 7 a factor of o? True Suppose i = 2*k - 4, -2*k - k - 3*i = -15. Is k even? False Let b(t) = -78*t - 12. Is b(-2) a multiple of 12? True Let u = 192 + -134. Does 12 divide u? False Suppose -35*i = -24*i - 473. Is 19 a factor of i? False Let q be 0 + 1 - (-3 + 2). Suppose 0 = -q*p + 21 - 1. Suppose -2*d = -0*d - p. Does 2 divide d? False Let g(r) = -r**3 - 3*r**2 + 4. Let m be (-1)/(-2)*(-4)/(-1). Let i = m + -5. Does 3 divide g(i)? False Suppose y + 17 = 2*f + 3, y - 40 = -4*f. Does 3 divide f? True Suppose 0 = q - 0 - 25. Let p = -13 + q. Is 5 a factor of p? False Let h = 69 + -6. Is h a multiple of 3? True Suppose 2*f = 5*f - 144. Does 6 divide f? True Suppose 3*u = -3*i - 2*i + 12, i - 4 = u. Is u/(((-5)/3)/5) even? False Let m(p) = -p**3 - p**2 - p - 1. Let i be m(-1). Suppose -u - u = i. Suppose 2*f - 8 = u, 5*b + 3*f - 171 = 31. Is 15 a factor of b? False Suppose -j = 1 - 6. Suppose j*d = -5 + 80. Does 5 divide d? True Let v = -20 + 33. Let t = v - -29. Is t a multiple of 21? True Let t(g) be the third derivative of -1/60*g**5 + 3*g**2 + 0 + 3/8*g**4 + 0*g - 7/6*g**3. Is t(6) a multiple of 9? False Let h = -9 + 4. Let r(w) = w**3 + 7*w**2 + 5*w + 7. Is 16 a factor of r(h)? True Let n(d) = -d**3 - 3*d**2 - 5*d + 2. Suppose 18 = -4*c + 2. Let l be n(c). Suppose 0 = -s + l. Is 19 a factor of s? True Let t(n) = n**2 + 7*n. Suppose -2*c - 3 = 7. Let i be t(c). Let m = i - -23. Is 5 a factor of m? False Suppose 0 = 16*p - 12*p - 1348. Is 63 a factor of p? False Suppose 3*g + 2*g = 3*g. Suppose -2*u = -6*u + 48. Suppose -p + g*p + u = 0. Does 5 divide p? False Suppose -12 = -3*a + 4*h + 5, 14 = 4*a - h. Suppose -3*n - 5 = -u, -a*u - n = -3 + 38. Is 24 a factor of 2/(-2)*u*7? False Let u be (2 + 1)/((-3)/(-45)). Suppose -4*o - o = -u. Does 3 divide o? True Let t(n) = -2*n - 10. Let m be t(-7). Suppose 0 = j + m*o - 4, 0*o - o + 76 = 4*j. Is j a multiple of 20? True Let o(g) = g**3 - 9*g**2 - 10*g + 4. Let i be o(10). Is 14 a factor of 18/i*(-36)/(-6)? False Let p(h) = h**3 + 4*h**2 - 2*h - 4. Let j be p(-4). Suppose 4*g + 5*s + 0*s = -9, -3*g + j*s = -32. Is g a multiple of 4? True Suppose -4*d - 3*l = -189, 7*d + 4*l - 188 = 3*d. Is 12 a factor of d? True Suppose 4*s = -1 + 41. Is 3 a factor of s? False Let q(y) = 4*y - 1. Let j be q(-2). Let k be j*(3/9 + -1). Suppose -33 + k = -w. Is 9 a factor of w? True Suppose 5*u = -w - 10, 2*w = u + 7 + 17. Is 21 a factor of (-20)/50 - (-514)/w? False Let j be (7 - -1)*14/(-8). Let w = 34 - j. Suppose w = -3*p + 6*p. Is 16 a factor of p? True Suppose 6 = 5*t - q, -2*t + 0*q = q - 8. Suppose -2*x + x + 3*b = -14, t*x - 10 = -3*b. Is 3 a factor of x? False Let m be -3*((-5)/3)/5. Let b = -5 + m. Does 18 divide 1/(10/b)*-90? True Let u(x) be the third derivative of -x**5/60 + x**3 - 2*x**2. Let o be u(0). Let b = o - -10. Does 6 divide b? False Suppose 183 = -3*o + 6*o. Is o a multiple of 11? False Let c = 15 + 13. Suppose -g + 0*g + 2 = 0. Suppose -g*v + c = -4*h, 5*v = -h + 2*h + 25. Is v a multiple of 4? True Let g(p) = p**3 + 7*p**2 + 6*p - 5. Let m be g(-6). Let u be m/1*(0 + -4). Suppose 4*r + u - 92 = 0. Is 6 a factor of r? True Let d = -9 - -62. Suppose -4*h + 35 + d = 0. Is h a multiple of 11? True Let x(y) = 2*y**2 - 9*y - 4. Suppose -36 + 8 = -4*b. Is 9 a factor of x(b)? False Let y(r) = 4*r - 3. Let o be y(5). Let u = 37 - o. Does 16 divide (-3)/((-15)/4)*u? True Suppose -4*c - 78 = 122. Let z = c + 83. Is 11 a factor of z? True Suppose 3*x + 5*x - 736 = 0. Is 37 a factor of x? False Let v(p) = p**2 + 89. Is 21 a factor of v(0)? False Is 162 + 5 + 4 + 0 a multiple of 12? False Suppose -8*q = -3*q + 250. Let a = 88 + q. Is 2/(-2) + a/2 a multiple of 18? True Suppose -4*r = 2*f - 7*r - 19, 3*f - 25 = r. Let u = f + -5. Suppose u*k - v = 76 + 78, 3*k - 4*v - 157 = 0. Is 18 a factor of k? False Suppose -5*v = -35 - 30. Suppose 6*q = 3*q + 6. Suppose 5*g + q*s = 73, -s - s = g - v. Does 7 divide g? False Suppose 5*y - 2*j + 2 = 0, 6*j - 4 = -4*y + 2*j. Suppose 4*v + h - 1 = 10, -4*v - 7 = -5*h. Is 9 a factor of (v - y) + 19 + -2? False Is (-102 - 0)*6/(-9) a multiple of 34? True Let q be 72/8 + 1/1. Suppose 3*u - 6*k = -k + 29, 2*u - k = q. Is u a multiple of 3? True Suppose 3*o + 5 = -7. Is 7 a factor of 186/14 - o/(-14)? False Let v(i
{ "pile_set_name": "DM Mathematics" }
second derivative of q(j) wrt j. -9720 Differentiate -976*m**2 + 1942*m**2 - 247*m - 3515 - 21*m - 969*m**2 with respect to m. -6*m - 268 Let y(i) = -35*i + 11. Let l be y(-4). What is the derivative of -89*v - 26 + l*v - 33 - 12*v wrt v? 50 Let y(j) be the first derivative of 0*j**3 - 81/5*j**5 - 5*j - 1/2*j**2 - 21 + 1/4*j**4. Find the second derivative of y(p) wrt p. -972*p**2 + 6*p Find the third derivative of 1021*m**3 + 1068*m**3 - 4850*m**2 + 3146*m**2 wrt m. 12534 Suppose -2*s + 4*s - 10 = 0. Let h be 16/2 + (1 - s). What is the third derivative of -27*i**4 + 20*i**4 + h - i**2 - 4 wrt i? -168*i Suppose 31*c - 30*c = 6. Suppose 3*v - 5*b = 0, c = -5*b + 21. What is the third derivative of -52*r**2 + 8*r**2 - 836*r**v + 856*r**5 wrt r? 1200*r**2 Let u(a) be the third derivative of 4097*a**7/210 - 107*a**5/60 - 5*a**4/24 - 2*a**2 - 356. What is the third derivative of u(p) wrt p? 98328*p Let c(x) = 13293*x**4 + 14*x - 5476. Let i(m) = 13291*m**4 + 10*m - 5473. Let r(b) = 2*c(b) - 3*i(b). What is the second derivative of r(y) wrt y? -159444*y**2 Let j be (2/(-3))/((-10)/17085). Find the third derivative of -87*l**4 - 1139 + j - 25*l**2 wrt l. -2088*l Let m(d) = -20*d - 191. Let q be 6*((-15)/10 - -2). Let p(y) = 40*y + 384. Let s(n) = q*p(n) + 5*m(n). Differentiate s(r) with respect to r. 20 Suppose 169 = 10*c + 19. What is the second derivative of 36*h - 2*h - 5*h**3 + 37*h - c*h wrt h? -30*h Let o(d) be the second derivative of d**5/2 - d**4/12 + 392*d**3/3 - 316*d + 1. Find the second derivative of o(j) wrt j. 60*j - 2 Suppose 0*l + 5*l - 20 = 0, 3*a - 4*l = -7. Find the second derivative of 10*g**a + 4*g - 3*g + 0*g**2 + 0*g**2 wrt g. 60*g Let i(y) be the first derivative of 0*y**2 + 40*y**4 + 2*y + 46/3*y**3 + 82. Find the third derivative of i(m) wrt m. 960 Let c(p) be the third derivative of 2647*p**6/120 - p**5/30 - 5*p**4/8 + 11*p**3/3 + 3158*p**2. Find the third derivative of c(s) wrt s. 15882 Find the first derivative of -36*i**4 + 143 + 293 + 8*i + 54 - 22 wrt i. -144*i**3 + 8 Let o = 24 - 21. Suppose 5*k - 5 = d + 12, 2*d = -4. What is the first derivative of -14*v**3 + 12*v**o + 15 + 6*v**k wrt v? 12*v**2 Find the third derivative of 2579 + 4*y**2 + 70*y - 2588 - 62*y + 2979*y**3 wrt y. 17874 Let k be 108/42 - (-12)/(-21). Let d(o) = 3*o**2 + 4*o + 4. Let b be d(-2). What is the third derivative of b*s**k + 0*s**3 - 4*s**3 - 4*s**2 wrt s? -24 Let k(z) be the second derivative of -187*z**5/20 - 11*z**3/6 + 14*z**2 + 1372*z. What is the second derivative of k(y) wrt y? -1122*y Let t = -680 + 684. Let c(f) be the third derivative of -3/10*f**5 + 0 + 1/120*f**6 + 0*f + 5*f**2 + 0*f**t + 0*f**3. Find the third derivative of c(i) wrt i. 6 Let s(q) = q**3 - 9*q**2 - 3. Let o be s(9). Let i be (-1 - (-12 + o)) + -1 + -1. What is the second derivative of -114*n**3 - i*n + 95*n**3 - 15*n wrt n? -114*n Let z(o) = -3*o + 1. Let x(p) = -33*p - 794. Let c(y) = -x(y) - 2*z(y). What is the derivative of c(s) wrt s? 39 What is the second derivative of 545 + 190*z**5 + 537 - 463*z + 6*z**2 - 5*z**2 - 1621 + 535 wrt z? 3800*z**3 + 2 Let o(w) be the first derivative of 34*w**5 - 10*w**3/3 - 325*w - 7186. What is the first derivative of o(c) wrt c? 680*c**3 - 20*c What is the third derivative of b - 3*b**3 + b**3 + 587*b**5 + 2604336*b**2 - b - 2605877*b**2 wrt b? 35220*b**2 - 12 Let k(u) = 4*u**4 - u**3 - u**2 - u - 1. Let l(d) = 532*d**4 + 6*d**3 + 6*d**2 + 6*d + 4096. Let o(g) = -6*k(g) - l(g). What is the derivative of o(b) wrt b? -2224*b**3 Suppose i - 41 = -5*h, -2*i - 91 = -5*i + h. What is the first derivative of -23 + i*f**3 - 2*f**4 - 86*f**3 + 39*f**3 wrt f? -8*f**3 - 48*f**2 Let o = 28 + -26. Suppose 0 = -2*m + 10 - o. Find the first derivative of -g**m - 17 - g**4 - g**4 + 0*g**4 wrt g. -12*g**3 What is the second derivative of 45*m**3 + 24*m**2 - 153*m**3 - 10425*m - 3057*m wrt m? -648*m + 48 Let z = 27 - 2. Let p = -23 + z. What is the first derivative of -p*r**2 - 5*r**2 - 8 - 1 - 11 wrt r? -14*r Let m(b) = -b**3 - 5*b**2 - 6*b - 4. Let k be m(-4). Find the second derivative of -37*h**5 - 7*h**5 + h + 39 + k*h - 29 wrt h. -880*h**3 Let g(y) = -y - 4. Let u be g(-8). Suppose u*d - 22 - 38 = 0. Find the third derivative of 0*z**3 - d*z**3 + 24 + 9*z**2 - 24 wrt z. -90 Suppose 0 = -10*a + 11*a - 14. Suppose -2*t - 2*i + 16 - 2 = 0, -a = 3*t - 4*i. Find the third derivative of -292*m**5 + 6*m**2 + 282*m**5 + 0*m**t wrt m. -600*m**2 Differentiate 684 - 3033 + 53009168*i - 5884*i**2 - 1453 - 53009168*i wrt i. -11768*i Let n(o) be the first derivative of -94*o**7 + 152*o**3/3 + 2*o + 1786. What is the third derivative of n(b) wrt b? -78960*b**3 Let r(c) be the first derivative of -83 - 1/3*c**3 - 12*c + 0*c**4 + 31/2*c**6 + 0*c**2 + 0*c**5. What is the third derivative of r(b) wrt b? 5580*b**2 Find the second derivative of -11*n**2 + 427*n**5 - 420*n**5 + 7*n**4 - n**4 - 3356*n + 4*n**4 - 6*n**4 wrt n. 140*n**3 + 48*n**2 - 22 Let d(t) = 889*t**3 - 4*t - 6. Let u(f) = 2668*f**3 - f**2 - 15*f - 17. Let a(p) = 17*d(p) - 6*u(p). What is the third derivative of a(z) wrt z? -5370 Let d(g) be the second derivative of g**8/14 - 241*g**5/10 + 1691*g**4/12 + 4059*g. What is the third derivative of d(h) wrt h? 480*h**3 - 2892 Let o = 173 - 171. Suppose 0 = 2*k - 0*k - 12. Find the first derivative of -10 + 0 + 1 - 14*n**o - k wrt n. -28*n Suppose 0 = 25*f - 5*f - 60. Find the third derivative of -59 + 65 + 2*j**f + 2*j**4 + 2*j**2 - 23*j**4 wrt j. -504*j + 12 Let l(m) be the second derivative of 0*m**4 + 0*m**5 - 8*m + 1/10*m**6 + 46*m**2 - m**3 + 2. Differentiate l(c) wrt c. 12*c**3 - 6 Let y(i) be the third derivative of i**4/24 + 23*i**3/3 - 26*i**2. Let t be y(-18). What is the third derivative of o**6 + 34 - 34 - t*o**2 + 3*o**6 wrt o? 480*o**3 Let f(x) be the first derivative of 2318*x**5/5 - 13*x**2/2 - 66*x + 3236. What is the second derivative of f(y) wrt y? 27816*y**2 Let y(l) = 8*l. Let w be y(1). What is the second derivative of 213*o - w*o**2 - 107*o - 54 - 105*o wrt o? -16 Let y = -7 - -82. Find the third derivative of -13*z**2 + 5*z**3 - 10*z**3 + y*z**2 - 24*z**3 wrt z. -174 What is the second derivative of -7 + 5430*m**2 + 2 - 26*m + 28*m + 3270*m**2 - 783*m**2 wrt m? 15834 Let m(n) = 151*n**3 + 1. Let i be m(1). Find the third derivative of -50*o - 16*o**4 - 3*o**2 - 83*o + i*o wrt o. -384*o Let w(p) be the first derivative of 96 - 5/2*p**2 + 85/2*p**4 + 0*p - 5/3*p**3. What is the third derivative of w(q) wrt q? 1020 Let d be 10/3 - (70/(-21))/(-10). Find the first derivative of m**3 - m**d - 9*m**4 - 205 + 21*m**4 wrt m. 48*m**3 Let x(r) be the second derivative of -611*r**6/30 + 1387*r**3/3 + 1004*r + 1. Find the second derivative of x(s) wrt s. -7332*s**2 Let v(q) = 975*q**3 + 6*q**2 - 18*q - 1043. Let b(r) = 976*r**3 + 5*r**2 - 15*r - 1042. Let m(j) = -6*b(j) + 5*v(j). Find the first derivative of m(c) wrt c. -2943*c**2 Let m = -131 + 135. Differentiate 39 + 0*l**4 + 24*l**m - 10*l**4 with respect to l. 56*l**3 Suppose 4 = -2*c + 2*r, -1 = -5*c + r + 5. Suppose c = 23*n - 22*n. Differentiate 13*u**n - 3*u**2 - 6*u**2 - u**2 + 9 wrt u. 6*u Let w(j) be the third derivative of -j**7/105 - 47*j**6/20 + 49*j**5/10 + j**3/2 + 145*j**2 + 3*j. What is the third derivative of w(o) wrt o? -48*o - 1692 Let o = 106 + -21. What is the first derivative of -o*c - 78*c + 191*c - 17 - 62*c wrt c? -34 Suppose -5*u + 315 = -4*u + f, 0 = -f + 1. What is the third derivative of 314 + 61*m**2 - u - 91*m**3 wrt m? -546 What is the third derivative of -11 + 4862*t**4 + 39207*t**2 - 39205*t**2 + 327*t + 10 wrt t? 116688*t Let s(c) = c**3 + 10*c**2 - 12*c - 9. Let l be s(-11). Differentiate -104*n**l + 37*n**2 - 3359 + 3264 with respect to n. -134*n Let t(i) be the third derivative of -557*i**6/30 - 247*i**4/6 - 4*i**2 - 198*i. Find the second derivative of t(q) wrt q. -13368*q Let z be (-1 - -2 - 0)*3/1. What is the third derivative of 40*c**3 + 41*c**z + 56*c**2 - c**3 wrt c? 480 What is the second derivative of -28 - 1636*v + 28 + 374*v + 1184*v**4 wrt v? 14208*v**2 Let h = 26 + -23. Find the second derivative of -t + 19 - 90237*t**3 - 154*t**4 + 90237*t**h wrt t. -1848*t**2 Let z(d) be the second derivative of 1171*d**7/42 - d**4/3 + 24*d**
{ "pile_set_name": "DM Mathematics" }
+ n + r*t and give q. 0 Express (25 - 25 + 12*o**2)*(1 - 2 - 1)*(-2 - 2 - 1) in the form y*o**2 + h*o + q and give y. 120 Rearrange 16 - 42*f**3 - 389*f - 19 + 390*f to j*f + u*f**2 + h*f**3 + m and give m. -3 Express (-2*x**3 - 2*x**3 + x**3)*(8 + 2*x - 8 + (-2 - 1 + 1)*(1 - 1 + 2*x)) in the form l*x**4 + n + t*x + w*x**3 + s*x**2 and give l. 6 Express (3 + 3 + 0)*(0 + 5 - 3)*(51*l**3 - 7*l**3 - 8*l**3) as u*l**3 + o + p*l**2 + j*l and give u. 432 Express (2 - 2*u**3 - 2)*(0*u + 10*u + 5*u) + 8*u**3 + 1 + 13*u + 2*u**4 - 4*u**3 - 14*u + 4*u**2 as w*u**2 + o + v*u**4 + i*u + t*u**3 and give o. 1 Express -3 + 7*n + 2*n**3 - 2*n**2 - 2 + 6*n**3 - 10*n**3 in the form g*n + z*n**2 + k + r*n**3 and give z. -2 Rearrange (c**2 + 0*c**2 - 2*c**2)*(50 + 66 + 245) to the form y + s*c**2 + h*c and give s. -361 Express 10*w**4 - 1890 + 1901 - 2*w - 8*w**4 as k*w**3 + d*w**2 + n + v*w + c*w**4 and give v. -2 Rearrange -3*x**2 + x**3 + 8 - x + 3*x - 7 - 8 to n*x**3 + b + j*x + k*x**2 and give k. -3 Rearrange (6*d**3 - d**3 - 3*d**3)*(53 - 49 + 115) - 3*d**3 - 2*d**3 + 4*d**3 to the form f*d**2 + a*d + q*d**3 + y and give q. 237 Rearrange -6779*y**2 + 3392*y**2 + 3389*y**2 - 14*y to the form z + o*y**2 + n*y and give n. -14 Rearrange -145*p**2 + 1 - 147*p**2 + 285*p**2 - 9 to the form z + l*p**2 + b*p and give z. -8 Rearrange (0*f + 4*f**4 + 0*f)*(9 - 15 - 8) - 5*f**4 + 0*f**4 + 3*f**4 - 6*f**4 + f - f to l*f**4 + a*f**2 + s*f + u*f**3 + y and give l. -64 Rearrange -67*o**2 + 65*o**2 - 48*o**2 + (-5*o + 3*o + 4*o)*(-1 + 1 + 2*o) to g + v*o**2 + u*o and give v. -46 Rearrange (0 - 1 + 3)*(2499*u**3 - 2 - 2501*u**3 - 283*u - 270*u) to d + q*u**2 + o*u**3 + c*u and give d. -4 Rearrange -142*k + 419*k - 3*k - 19*k to s*k + a and give s. 255 Rearrange -3*s**2 - 2*s**2 + 4*s**2 + (-2 + 2 + s)*(1 - 2*s - 1) + 4*s - 4*s + s**2 + s - s - 12*s**2 to v*s**2 + d*s + y and give v. -14 Express (3*h - 2*h + h)*(-3 - 3468*h + 3438*h - 12) in the form q + x*h + y*h**2 and give x. -30 Rearrange (-c + 3 - 3)*(-223 + 4 + 45 + (-4 + 2 + 3)*(-1 + 1 - 1)) to the form l + i*c and give i. 175 Rearrange -267*u**3 + 4*u**2 + 87*u**3 + 8 + 92*u**3 + 83*u**3 to the form f*u**2 + g*u + q + h*u**3 and give f. 4 Rearrange 305 - 145 + p**2 - 117 to a*p + i*p**2 + f and give f. 43 Rearrange 2*l**2 + 102*l + 69*l - 48*l to the form f*l**2 + x + h*l and give f. 2 Express -2*u**4 - 3*u**3 + 4 + 7*u + 41*u + 817*u**2 - 817*u**2 as k*u**2 + x*u**3 + m*u + s*u**4 + z and give x. -3 Rearrange -5648 + 5648 + 1166*q**2 to the form p + z*q + w*q**2 and give z. 0 Rearrange -229*n**2 - 23*n**3 - 239*n**2 + 454*n**2 to w*n + a + x*n**2 + h*n**3 and give a. 0 Rearrange 15*j + 4*j**2 + 2*j**3 + 60*j**4 - 4 - 15*j - 61*j**4 to the form w*j**4 + v*j**2 + l + t*j + f*j**3 and give v. 4 Express (2 - 5 - 1)*(-m - 4 + 4) + 33*m - 38*m - 72*m as a*m + s and give a. -73 Rearrange -5*w**2 + 2*w**3 + 71*w**4 + 8*w**2 - 98*w**4 to the form h*w**4 + k + u*w + i*w**3 + p*w**2 and give i. 2 Rearrange (28 + 54 - 13)*(2*k - k + k - 3*k + 7*k - 3*k + (2*k - 2*k + 2*k)*(-3 + 2 - 1) + 5*k + 2*k + 6*k) to i + h*k and give h. 828 Express 3*m - 9 + 1 - m**3 - 2 - 3*m**2 - 4*m + 5*m**2 as d*m**3 + x*m**2 + v*m + u and give u. -10 Express (-130 + 38 - 40 - 4 - 172)*(-2*l - 2*l + 2*l) as x + r*l and give r. 616 Express 12*j + 2*j**2 + 17*j**4 - 18*j**4 - 13*j**3 + 18*j**3 in the form f + z*j**3 + p*j**4 + q*j + i*j**2 and give q. 12 Rearrange (-3 + 4 + 1 + (-4 + 0 + 3)*(1 - 1 - 1))*(14756*r**2 - 7380*r**2 + 1893 - 7375*r**2) to the form j*r + p + v*r**2 and give v. 3 Rearrange 1875*t**4 + t**3 + 2 - 1874*t**4 + 3*t - 3*t**3 to the form f*t + n*t**2 + r + m*t**4 + z*t**3 and give z. -2 Express (6 + 1 - 5)*(1896*g**4 + 2186*g**4 + 3*g**3 - 3469*g**4) in the form j*g + n*g**4 + y + l*g**2 + t*g**3 and give n. 1226 Rearrange 6 - 2 + 402*w - 6 + 2 to the form l + b*w and give b. 402 Rearrange (5*q - q - 3*q)*(-3 - 3 + 4) - 4*q + 5*q + q + (-15 + 15 + q)*(0 + 0 - 1) - q + q + 4*q to the form o*q + u and give o. 3 Express -2*a**4 - 1 + 0*a**2 - 3*a**2 - 28*a - 2*a**3 + 14*a**2 - 3*a**2 - 9*a**2 in the form d*a**3 + k*a**2 + u*a + r*a**4 + g and give r. -2 Rearrange (-2*y + 3*y - 2*y)*(-4*y - 5*y**2 + 4*y) + (-3*y**2 + 4*y**2 - 4*y**2)*(-5*y + 5*y + 2*y) to w*y + b + k*y**2 + r*y**3 and give r. -1 Express 7863*d + 7866*d - 16983*d in the form w + z*d and give z. -1254 Rearrange -3 - 278*d**3 - 22*d**3 + 1 to the form k*d**3 + u*d**2 + o*d + s and give s. -2 Express 0*v**2 - 28*v - 1 + 4 - v**2 - 5 in the form c + n*v**2 + t*v and give n. -1 Rearrange -2 + 29*h + 33*h + 29*h - 94*h to the form s*h + g and give g. -2 Rearrange -3*s**3 + 0*s**3 + s**3 + (0 - 1 + 0)*(5 - 3*s**3 - 5) + 10*s**3 - 32*s**3 - 68*s**3 to o*s**2 + k*s**3 + l + r*s and give l. 0 Express (-g + 0*g + 2*g)*(2015 - 1009 - 10*g - 1009) in the form n*g + h*g**2 + c and give h. -10 Rearrange 24327*l**2 - 8*l**3 - 24327*l**2 - 2 + 17*l to h*l + b*l**2 + z*l**3 + q and give q. -2 Express 355 - 355 + 329*f in the form i + b*f and give b. 329 Rearrange -14974*v + 14974*v - 224*v**2 to the form z*v + s + j*v**2 and give j. -224 Rearrange -j**2 - 38*j - 8*j**2 + 35*j + (0 + 2*j + 0)*(1 - 1 + j) - 3*j**2 + 4*j**2 + 0*j**2 - 4*j - 8*j**2 + 4*j to d*j + n*j**2 + y and give n. -14 Express (-16*m - 11 + 11)*(-3*m + 3*m - 3*m + (3 - 6 + 2)*(2*m + 0*m + 0*m) + 0*m + 0*m - 2*m) as c*m**2 + a + k*m and give c. 112 Rearrange (6*f + 20 - 20)*(-2 - 4 + 4)*(6*f**3 + 3 - 3) + 0*f**4 + 3*f**4 - f**4 to the form g + y*f**3 + a*f**2 + b*f + z*f**4 and give z. -70 Express 346 - 346 - 356*a**2 as y + f*a**2 + m*a and give f. -356 Express (-291*b - 59 + 575*b - 281*b + (2 + 3 - 4)*(b + 0*b - 3*b))*(b**2 - b**2 - 2*b**2) in the form f*b + n*b**3 + k + a*b**2 and give k. 0 Express 5*r + 18*r**3 + r**2 - 46*r**3 + 22*r**3 + r**4 as t*r**3 + y*r**4 + n + c*r**2 + l*r and give t. -6 Express (m + 0*m**2 - 1 + 2 + 2*m**2)*(0 - 118 - 299) as n*m + f*m**2 + g and give f. -834 Express -1881*t - 4*t**2 + 1881*t - 6*t**3 - 2 as c + q*t**2 + j*t**3 + x*t and give c. -2 Rearrange -2*z**4 + 0*z + z**2 - 49 + 71 + z to y*z**2 + v + s*z**4 + n*z**3 + b*z and give y. 1 Rearrange (0 + 1 + 0)*(f**4 + 1 - 1) - 6*f**4 + f**3 - f**3 to the form q + j*f**2 + l*f**3 + r*f**4 + c*f and give r. -5 Rearrange (-186*r**3 - 87*r + 87*r)*(2*r + 4*r - 2*r) to the form z + s*r**2 + o*r**3 + m*r + i*r**4 and give i. -744 Express -22*s + 4 - 4*s**4 + 6*s**3 - 4*s**3 - 2 - 2*s**2 + 26*s in the form v*s**2 + k*s**4 + u*s**3 + l*s + i and give k. -4 Express -14 + 2*x - 48 - 38 as h + f*x and give h. -100 Rearrange ((3 - u - 3)*(4 + 2*u - 4) - 6 + 7*u**2 + 6)*((-4*u + 5*u + u)*(-1 + 1 + 2*u) - u**2 - 31 + 31) to p*u**2 + z + w*u + g*u**3 + j*u**4 and give p. 0 Rearrange 3*d**2 - 2*d**3 + 7*d + 8*d - 2*d**4 + 4 + d - 16*d to o*d**3 + l*d**2 + f + y*d + x*d**4 and give f. 4 Express -16*a**2 + 5*a**2 + 10*a**2 - 4 - 2 - 4*a**3 in the form g*a**2 + l*a + q + d*a**3 and give l. 0 Express 59*z + 62*z - 8 - 119*z in the form k + p*z and give p. 2 Rearrange -3*p**4 - 801*p**3 - 3*p**4 - 10*p - 6 + 802*p**3 + 12*p to the form a*p**2 + u*p**4 + i*p**3 + m*p + o and give o. -6 Rearrange 1 - 4*c**4 - 2*c**2 + 0*c**2 + 5*c - 2*c**3 + 0*c + 0*c**2 to the form x*c**3 + i*c**2 + r*c + g + l*c**4 and give l. -4 Express -225*w**3 + 3*w - 46*w**2 + 46*w**2 - 172*w**3 + 54*w**3 in the form z*w + o*w**2 + h*w**3 + y and give h. -343 Express -96*o - 91*o + 188*o - 388 as n + y*o and give n. -388 Express -17*v**2 - 2*v**3 + 7*v**2 + 8*v**2 + 17*v**2 in the form k*v**3 + r*v + x*v**2 + q and give k. -2 Rearrange (n + n + 3*n)*(-4 + 1 - 3)*(-36*n**3 + 9*n**3 - 3*n**3) to i*n**3 + x*n**4 + f*n + t*n**2 + j and give x. 900 Rearrange (242 + 72 - 1040)*(3 + 2*s**2 - 3 + (-5 + 1 + 5)*(0*s**2 + 2*s**2 + 0*s**2) - 4*s**2 - 3*s**2 + 5*s**2 - 1) to the form a*s + y + v*s**2 and give a. 0 Rearrange ((-5 + 3 + 1)*(-5 + 4 - 2) + 17 - 5 + 25)*(4 - 4 + 1)*(0*x + 0*x + x) to the form v*x + r and give v. 40 Rearrange 177*n + 49*n - 54*n + 116*n to i*n + y and give i. 288 Rearrange (-2 - 186*y + 94*y + 95*y)*(2 + 0 + 1)*(-y - 2*y + 2*y) to j*y + k + w*y**2 and give j. 6 Rearrange j - 26*j - 58*j to the form h*j + o and give h. -83 Express -65*o - 1 - 85*o - 62*o + 103*o in th
{ "pile_set_name": "DM Mathematics" }
112*d - 3*d**3 + 116*d. Determine -6*i(f) - 7*n(f). -f**3 - f**2 - 2*f Let u(c) = -17*c**2 - 8*c + 58. Let f(j) = -19*j**2 - 10*j + 60. Determine -5*f(v) + 6*u(v). -7*v**2 + 2*v + 48 Let j(g) = 50*g**2 - 10*g + 3. Let w(h) = -49*h**2 + 12*h - 4. Determine -6*j(m) - 5*w(m). -55*m**2 + 2 Suppose 15*a + 51 = -26 + 17. Let r(x) = -x**2 + x + 1. Let y(f) = -6*f**2 - 4*f - 4. Calculate a*r(l) - y(l). 10*l**2 Let b(v) = 7*v**2 - 8*v + 64. Let c(u) = 14*u**2 - 12*u + 114. Let j(i) = 5*b(i) - 3*c(i). Let n(s) = 57*s**2 + 33*s + 177. Give 33*j(y) + 4*n(y). -3*y**2 - 18 Let f(r) = -4*r**2 + 928*r - 4. Let i(b) = -17*b**2 + 3713*b - 18. Calculate -9*f(o) + 2*i(o). 2*o**2 - 926*o Let z(u) = -3*u - 741. Let a(j) = -j**2 + 5*j + 1497. Give -3*a(n) - 5*z(n). 3*n**2 - 786 Let q = 12855 + -12853. Let k(x) = 4*x**3 - 3*x**2 - 5*x - 2. Let s = -14 + 16. Let l(c) = 3*c**3 + 3*c**2 - 2 - 4*c**s - 4*c - c**2. Give q*k(d) - 3*l(d). -d**3 + 2*d + 2 Let n(z) = 14*z**2 - 53*z + 5. Let w(v) = -9*v**2 + 27*v - 3. Let j(s) = -3*n(s) - 5*w(s). Let x(a) = -2*a**2 - 16*a. Determine 5*j(o) + 7*x(o). o**2 + 8*o Let v(k) be the first derivative of -8*k**2 + 13*k - 94. Let f(c) = 44*c - 38. Let n(l) = 3*f(l) + 8*v(l). Let q(s) = s - 3. Determine 3*n(j) - 10*q(j). 2*j Let p(c) = 28*c - 4 + 11*c + 8*c - 62*c. Let r(l) = 46*l + 13. Calculate 7*p(j) + 2*r(j). -13*j - 2 Let t(d) = 2*d**3 - 121*d**2 - 3*d - 85. Let j(f) = -60*f**2 - 2*f - 51. What is 5*j(w) - 3*t(w)? -6*w**3 + 63*w**2 - w Let p(l) = -20712*l**2 - 27616. Let a(s) = -s**2 - 2. Determine -13808*a(q) + p(q). -6904*q**2 Let l(n) = 37*n**2 - 5*n. Let g(j) = -1664*j**2 + 224*j. Let h(r) = 55*r**2 + 36*r + 76. Let x be h(-2). Determine x*l(u) + 5*g(u). -32*u**2 Let o(r) = 7*r**2 + 3*r + 5. Let n(g) = 20*g**2 + 8*g + 14. Let c(h) = -2*h**3 + 9*h**2 + 20*h - 80. Let d be c(5). Calculate d*n(p) + 14*o(p). -2*p**2 + 2*p Let s(l) = -29*l**3 + 4*l**2 - 4*l + 5. Let i(p) = 25*p**3 - 4*p**2 + 3*p - 5. Calculate 6*i(r) + 5*s(r). 5*r**3 - 4*r**2 - 2*r - 5 Let h(n) = 2*n**3 + n**2 + 3*n. Let y(g) = 25*g**3 - 5*g**2 - 15*g + 1. Determine 3*h(c) + y(c). 31*c**3 - 2*c**2 - 6*c + 1 Let i(v) = -5*v - 8. Suppose -30*b + 271 = -119. Let s(w) = b*w - 34*w + 14*w + 16*w + 15. What is -7*i(c) - 4*s(c)? -c - 4 Let f(p) = -670. Let j(s) = -502. Let h(q) = -3*f(q) + 4*j(q). Let g(a) = a - 1. Suppose n - 5*m = -1 - 8, -3*n = 2*m - 7. What is n*h(o) + 3*g(o)? 3*o - 1 Let j = -184721 + 184720. Let a(f) = 6*f**2 - f**2 - f**3 - 3*f + 3*f**3. Let b(u) = u**2 - u + 1. Determine j*a(g) + 3*b(g). -2*g**3 - 2*g**2 + 3 Let p(u) = -180*u**3 + 5*u + 11. Let f(a) = 38*a**3 - a - 2. Calculate -11*f(k) - 2*p(k). -58*k**3 + k Let s(u) = 3*u**3 + u**2 - 28*u + 5. Let z(f) = 3*f**3 + f**2 - 27*f + 6. Determine -3*s(w) + 2*z(w). -3*w**3 - w**2 + 30*w - 3 Let y(d) = d**3 - 23*d**2 + 22*d - 8. Let r be y(22). Let k(g) = 2*g - 2. Let o = 9 + -8. Let v(p) = 2*p + o + p - 2*p - 2*p. Calculate r*v(t) - 5*k(t). -2*t + 2 Let b(x) = -324*x**2 - 8*x - 4. Let l(d) = 323*d**2 + 12*d + 4. Give -3*b(k) - 2*l(k). 326*k**2 + 4 Suppose 0 = -l - z + 148, 2*l + 2*z + 449 = 5*l. Let i(a) = -80 - 74 + 7*a + l. Let w(n) = 4*n - 2. Determine -2*i(v) + 5*w(v). 6*v Let b(u) = -63*u + 44. Let n(r) = 252*r - 165. Give 11*b(i) + 3*n(i). 63*i - 11 Let l(j) be the third derivative of j**4/8 + 3*j**3/2 + 1306*j**2. Let t(v) = v + 2. Determine -2*l(d) + 9*t(d). 3*d Let z(c) = 19*c**3 + 6*c**2 + 4*c - 4. Let q(w) = -21*w**3 - 5*w**2 - 4*w + 3. What is 6*q(b) + 5*z(b)? -31*b**3 - 4*b - 2 Let r(b) = -60*b + 16. Let o(m) = 3. What is 6*o(p) - 2*r(p)? 120*p - 14 Let w(p) = 7*p**2 - 9*p - 10. Let c(v) = -15*v**2 + 19*v - 1258524 + 629273 + 629271. Give 6*c(j) + 13*w(j). j**2 - 3*j - 10 Let g(k) = 36257*k**3 - 170*k + 10. Let p(s) = -277970*s**3 + 1309*s - 77. Determine -77*g(i) - 10*p(i). -12089*i**3 Let r(s) = -80*s - 1088. Let q(c) = 9*c + 121. What is -28*q(b) - 3*r(b)? -12*b - 124 Let c(m) = -3*m**3 + 2*m**2 - 2*m. Let w be 2/(1*(-8)/68). Let t(v) = 6*v**2 - 8*v**3 - 6*v - 399 + 399. What is w*c(n) + 6*t(n)? 3*n**3 + 2*n**2 - 2*n Suppose 113*r = -216 - 13 - 562. Let v(l) = 10*l. Let y(k) be the third derivative of -5*k**4/24 - 2*k**2. Determine r*y(d) - 3*v(d). 5*d Let s(c) = 1240*c**3 - 11*c**2 - 4*c + 4. Let n(d) = -3719*d**3 + 30*d**2 + 11*d - 11. Calculate -4*n(b) - 11*s(b). 1236*b**3 + b**2 Let k(a) = 3 - 1 + 2*a + 8 - 2 + 7*a. Let d(q) = 17*q + 15. Let p = -16 - -10. Determine p*d(o) + 11*k(o). -3*o - 2 Let c(z) = z + 0*z - z + 5*z. Let k(o) = 5*o. Let a = -281 + 178. Let x = 97 + a. Determine x*k(y) + 5*c(y). -5*y Let m(y) = 2*y**2 + 4*y + 5. Let i(w) = -w**2 - 5*w - 6. Let b be (-14)/(-4)*(-48)/28. Calculate b*m(q) - 5*i(q). -7*q**2 + q Let t(j) = -j + 1. Let p(f) = -f + 44 - 10 - 5*f - 22 + 0*f. Suppose 5*i - 10 = -5*h, 0*i + 4 = -i + 5*h. What is i*p(n) - 4*t(n)? -2*n + 8 Let w(b) = -6*b - 42. Let i(c) = 15*c - 6. Let z(l) = -4*l. Let d(r) = i(r) + 4*z(r). Give 27*d(h) - 4*w(h). -3*h + 6 Let l(j) = -182*j**3 - 12*j**2 + 5*j + 2. Let y(v) = -92*v**3 - 7*v**2 + 3*v + 1. Determine -3*l(q) + 5*y(q). 86*q**3 + q**2 - 1 Let k(f) be the third derivative of f**4/12 - f**3/2 - f**2. Let u(m) = -m + 1. Let v = -29966 - -29967. Calculate v*u(n) + k(n). n - 2 Let i(r) = 3*r**2 + 9*r + 4. Suppose 3*v = -m + 14, 3*m - 22 = -3*v - v. Let s be (3/v)/1*272/102. Let g(a) = -a**2 - 4*a - 2. Give s*i(q) + 5*g(q). q**2 - 2*q - 2 Let m(r) = 3*r + 4. Let y(o) = -4*o - 76. Let w be y(-13). Let v = -21 - w. Suppose 5*x + 7 = -v. Let i(t) = t. Calculate x*i(q) + m(q). q + 4 Let y(u) = -3*u + 1. Let n be (-13 - -10)*(4*-1 + 2). Let j = 15 - n. Let z(i) = 3*i + 3*i + i**2 + 2 - j*i. Give 3*y(q) - 2*z(q). -2*q**2 - 3*q - 1 Let v(p) = -5*p**2 - 4*p + 69. Let w(z) = 5*z**2 + 4*z - 60. Give 3*v(j) + 4*w(j). 5*j**2 + 4*j - 33 Let n(s) = s**3 - 10*s**2 - 2*s + 2. Let y be -2 + 26/10 + -3*184/345. Let t(u) = -u + 1. What is y*n(z) + 2*t(z)? -z**3 + 10*z**2 Let f(i) = -14*i**3 - 2*i**2 - 8*i. Let b = -2424 + 2428. Let o(u) = -5*u**3 - u**2 - 3*u. Determine b*f(c) - 11*o(c). -c**3 + 3*c**2 + c Suppose -n = n - 6. Let x(p) = 0*p**n - 4*p**3 + 3*p + 6*p**3. Let a(o) be the first derivative of o**4/2 - o**3/3 + 2*o**2 - 764. What is 3*a(c) - 4*x(c)? -2*c**3 - 3*c**2 Let o(z) = 25*z + 21. Let v(h) = 72*h + 58. Let l(m) = -14*o(m) + 5*v(m). Let u(c) = c. What is l(x) - 5*u(x)? 5*x - 4 Let q(h) = -h**2 + 2*h - 2. Let k(p) = -p**2 - 98*p - 8. Determine -k(w) + 4*q(w). -3*w**2 + 106*w Let v(d) = 1. Let m(f) = 3*f**2 + 31*f - 21. Let p be m(-11). Let y(o) = 2*o - 9. Give p*y(l) - 5*v(l). 2*l - 14 Let b(h) = h**2 - 57*h + 6. Let f(c) = 15*c - 1. Let y(z) = b(z) + 4*f(z). Let o(g) = -g**2 - 1. Calculate -2*o(d) - y(d). d**2 - 3*d Let n(q) = -27847*q**2 + 32*q + 48. Let b(a) = -290880480*a**2 + 334260*a + 501390. Calculate -8*b(p) + 83565*n(p). 9285*p**2 Let v(q) = -q + 514 - q**2 + 505 + q**3 + 496 - 1514. Let d(k) = 2*k**3 + 2*k**2 + 3*k - 4*k**3 + k**3 - 2. What is d(i) + 2*v(i)? i**3 + i Let v(j) = -13*j**3 + 2*j**2 - 9. Suppose 6*x - 9 = 21. Let b be (-5)/x + 7 - 3. Let z(p) = b + 6*p**3 + 74*p**2 + 1 - 75*p**2. Calculate -4*v(h) - 9*z(h). -2*h**3 + h**2 Let m(p) = 3*p**2 + p + 13. Suppose 7444*d - 7450*d + 12 = 0. Let q(i) = 3 - 2 + i**2 + 3. Give d*m(h) - 7*q(h). -h**2 + 2*h - 2 Let p = 1217 + -1212. Let g(x) = 4*x - 20. Let u(t) = -3*t + 19. Give p*g(c) + 6*u(c). 2*c + 14 Let z(h) = -177*h**3 + 4*h**2 - 8. Let s(a) = -89*a**3 + 2*a**2 - 4. Determine 11*s(x) - 6*z(x). 83*x**3 - 2*x**2 + 4 Let u(m) = -30*m - 16. Let n(q) = 499*q + 539*q - 1048*q - 5. What is 10*n(v) - 3*u(v)? -10*v - 2 Let l(f) = -47*f - 4. Let k(s) = 46*s + 3. Suppose -17*b - 4 = 80*b - 198. What is b*l(w) + 3*k(w)? 44*w + 1 Let h(w) = -5*w**2 + 3*w. Let b(g) = -804*g**2 - g. Calculate -b(d) - h(d). 809*d**2 - 2*d Let c(i) = -7*i - 11. Let n(t) = 2*t - 1290 + 1293 + 0*t. Determine -2*c(y) - 9*n(y). -4*y - 5 Let w(c) be the first derivative of 15*c**4/4 + 10*c**3/3 + 5*c**2 + 10*c - 32463. Let x(i) = 5*i**3 + 3*i**2 + 3*i + 3. Let v = 8 - 5. Give v*w(j) - 10*x(j). -5*j**3 Let c(h) be the second derivative of 0*h**3 - 3*h + 7/2*h**2 - 1/3*h**4 + 0. Let s(u) = -u**2 + 2. Let y be (-57)/(-8) - (-1)/(-8). Give y*s(f) - 2*c(f). f**2 Let g(o) = 15*o. Let a(n) = -30*n
{ "pile_set_name": "DM Mathematics" }
- 4*w**2 + 3*w**2. -2*w**2 Collect the terms in -24 + 20 + 4 + 5*l**2. 5*l**2 Collect the terms in -6*r + 3*r + 4*r + r + 4. 2*r + 4 Collect the terms in -8*m + 0*m**2 + 3*m**2 + 2*m + 6*m. 3*m**2 Collect the terms in -4*r - 2*r + 4*r + 0*r - 98. -2*r - 98 Collect the terms in -4*a - 3*a + 27*a**2 + 7*a. 27*a**2 Collect the terms in -5*x**3 + 185 - 185 - 11*x**3 + 17*x**3. x**3 Collect the terms in -290125*k**3 + 145063*k**3 + 145064*k**3. 2*k**3 Collect the terms in 12 - 24*s - 12*s - 10 + 2*s. -34*s + 2 Collect the terms in 47*l**2 - 22*l**2 - 3 - 28*l**2 + 3. -3*l**2 Collect the terms in 104 - 53 - 8*o - 51 + 0*o. -8*o Collect the terms in 1 - 2 - 26*o - 5. -26*o - 6 Collect the terms in 0 - 10*d + 9*d + 2. -d + 2 Collect the terms in 1747*p**2 - 1747*p**2 - p**3. -p**3 Collect the terms in 32*i - 6*i**3 + 30*i + 8 - 101*i + 39*i. -6*i**3 + 8 Collect the terms in -5*a - 3*a + 3*a. -5*a Collect the terms in -320*f**2 - 316*f**2 + 634*f**2. -2*f**2 Collect the terms in -66 - m**3 + 4*m**3 + 66. 3*m**3 Collect the terms in 2*z - 394 + 394. 2*z Collect the terms in -w - 2*w - 21 + 5*w + 21. 2*w Collect the terms in 25*y**2 + 18*y**2 + 8*y**2 - 49*y**2. 2*y**2 Collect the terms in 2*r**2 - 49082 + 49082. 2*r**2 Collect the terms in -10*i**3 - 16*i**2 + 16*i**2. -10*i**3 Collect the terms in -2353*k**2 + 2353*k**2 - 4*k**3. -4*k**3 Collect the terms in -3*y**3 + 7*y**3 - y**3. 3*y**3 Collect the terms in 0*k**2 - k**2 + 5*k**2 + 3*k**2 - 6*k**2. k**2 Collect the terms in -10*d**2 - 18*d**2 - 17*d**2 - 3*d**2. -48*d**2 Collect the terms in -4*d**2 - 2*d - d**2 + 2*d. -5*d**2 Collect the terms in -839 - 4*i + 839. -4*i Collect the terms in 298*t + 10*t**3 - 606*t + 308*t. 10*t**3 Collect the terms in -63*c + 63*c - 3*c**2. -3*c**2 Collect the terms in 2*n - 130 + 130 - 10*n. -8*n Collect the terms in -9*w**3 + 9291 - 9291. -9*w**3 Collect the terms in -922*f**2 - 1343*f**2 + 459*f**2. -1806*f**2 Collect the terms in -171*i**2 + 79*i**2 + 86*i**2. -6*i**2 Collect the terms in 25*t - 92*t + 22*t + 24*t + 18*t. -3*t Collect the terms in 87 - 102 + 90 + y**3 - 75. y**3 Collect the terms in -11*f + 11*f - 119*f**2. -119*f**2 Collect the terms in -3*m + 7*m + 5*m. 9*m Collect the terms in -75*t**3 + 62*t**3 + 200*t**3. 187*t**3 Collect the terms in 45 - 45 - 6*j. -6*j Collect the terms in 88*d**2 + 2 - 175*d**2 + 86*d**2. -d**2 + 2 Collect the terms in 3*g**3 + 8809*g**2 - 8809*g**2 - 30. 3*g**3 - 30 Collect the terms in 10*s**3 - 48*s**3 + 28*s**3. -10*s**3 Collect the terms in -5*w**2 + 72*w**3 - 67*w**3 + 5*w**2. 5*w**3 Collect the terms in 28*v - 130*v - 2*v**2 + 25*v. -2*v**2 - 77*v Collect the terms in 3*y + 13*y + 4*y - 25*y + 6*y. y Collect the terms in 5*s + s + 3*s - 13*s. -4*s Collect the terms in 22*i**2 - 22*i**2 - i - 24*i**3. -24*i**3 - i Collect the terms in 6*w**3 - 11*w**3 - 6*w**3 - 12*w**3. -23*w**3 Collect the terms in -2490 + 2490 + 182*x**2. 182*x**2 Collect the terms in -129 + 71 - 8 + 2*n + 66. 2*n Collect the terms in -37 + 37 - 14*i**3 + 12*i**3. -2*i**3 Collect the terms in -y**3 + y**3 - 2210*y - y**3 + 2210*y. -y**3 Collect the terms in 32*b - 4*b - 15*b + b. 14*b Collect the terms in -2 - 45*g**2 + 2 - 2 + 0. -45*g**2 - 2 Collect the terms in -3*g + 4*g - 20*g**2 - g. -20*g**2 Collect the terms in 3*n**2 + 2*n**2 + 16*n**2 - 9*n**2. 12*n**2 Collect the terms in 28*g - 123*g + 25*g + 24*g + 42*g. -4*g Collect the terms in q**3 + 0*q + 47*q**3 + 0*q. 48*q**3 Collect the terms in -32*b + 6 - 6 + 74*b - 43*b. -b Collect the terms in -2*a + 4*a - 27*a. -25*a Collect the terms in -15112 + 15112 - 2*q. -2*q Collect the terms in -7*g - g + 2*g + 2*g. -4*g Collect the terms in -17*z + 16*z**2 + 17*z - 3*z**2. 13*z**2 Collect the terms in -9*z**3 + 93*z**2 - 93*z**2 + 3*z**3. -6*z**3 Collect the terms in -3*l + 2*l - 2 - 20. -l - 22 Collect the terms in 5*y + 4 + 2*y - 4 - 3. 7*y - 3 Collect the terms in 5*s**2 - 24336*s - 2*s**2 + 24336*s. 3*s**2 Collect the terms in 22*r**2 + 20*r**2 - 47*r**2. -5*r**2 Collect the terms in 38*r + 35*r - r. 72*r Collect the terms in -a**2 + 3*a**2 + a**2. 3*a**2 Collect the terms in -9*j**3 + 3*j**3 + 3*j**3. -3*j**3 Collect the terms in 10*p**2 + 18*p**3 - 4 - 20*p**3 + 4. -2*p**3 + 10*p**2 Collect the terms in 52 + 11*b - 10*b - 52. b Collect the terms in -29*g - 2*g - 2*g**2 + 31*g. -2*g**2 Collect the terms in -778*m**2 - 1115*m**2 - 503*m**2 + 160*m**2. -2236*m**2 Collect the terms in 15*w**3 - 13*w**2 - 10*w**3 - w**3 - 3*w**3. w**3 - 13*w**2 Collect the terms in -1652 - 2*q**3 + 1652. -2*q**3 Collect the terms in -122*s + 550 - 550. -122*s Collect the terms in 2*y**2 + 3*y**2 - 4*y**2. y**2 Collect the terms in -35*y**2 - 31*y**2 - 30*y**2 + 36*y**2. -60*y**2 Collect the terms in 360*f + 1619*f**3 - 360*f - 1620*f**3. -f**3 Collect the terms in 137 - 43 - u - 94. -u Collect the terms in -3*a**2 - a**2 + 2*a**2 - 6*a**3 + 0*a**2. -6*a**3 - 2*a**2 Collect the terms in 41*l**3 + 11*l - 11*l - 52*l**3. -11*l**3 Collect the terms in -11*n + 2*n + 7*n + 5*n. 3*n Collect the terms in -12*s + 2*s + 4*s. -6*s Collect the terms in -531*s**2 + 513*s**2 - 2 + 2. -18*s**2 Collect the terms in 7 - 17*c**3 - 2 - 5. -17*c**3 Collect the terms in -2*v**2 + 4*v**2 - 6*v**2 + 2*v**2. -2*v**2 Collect the terms in -2*g**2 + 10*g + 12*g - 22*g. -2*g**2 Collect the terms in 21 - 4*a - 8 - 11. -4*a + 2 Collect the terms in -3*h**3 + 7*h**3 + 9*h**3 + 0*h**3. 13*h**3 Collect the terms in -1848 + 1848 + o**3 - 3*o**3. -2*o**3 Collect the terms in -x**2 + 2*x**2 + 2*x**2. 3*x**2 Collect the terms in -20*p**2 + 28*p**2 + 24*p**2. 32*p**2 Collect the terms in -3*f**2 - 2*f**2 + 22 + 3*f**2 - 67. -2*f**2 - 45 Collect the terms in -10*s**2 + 8 - 8. -10*s**2 Collect the terms in 0*j**3 - 5*j**3 + 2*j**3 + 2*j**3. -j**3 Collect the terms in 212*q**2 - 201*q**2 - 9*q**2. 2*q**2 Collect the terms in -4*t**2 + 14 + 18 + 2*t**2 - 32. -2*t**2 Collect the terms in -10*d**3 + 0*d**3 - 4*d**3 - 5*d**3. -19*d**3 Collect the terms in 691*l - 3*l**3 - 691*l. -3*l**3 Collect the terms in -4*d + 4*d + 1423*d**2. 1423*d**2 Collect the terms in 207*a**3 - 105*a**3 - 103*a**3. -a**3 Collect the terms in 11*m**2 - 1821177*m - 3*m**2 + 1821177*m. 8*m**2 Collect the terms in -18214 - 2*s + 0*s + 0*s + 18214. -2*s Collect the terms in 394 - 200 - 191 - 3*o. -3*o + 3 Collect the terms in -26*t**3 + 28*t**3 + 5*t**3. 7*t**3 Collect the terms in -341*l**2 + 680*l**2 - 337*l**2. 2*l**2 Collect the terms in -9*v**2 - 6*v**2 - 7*v**2. -22*v**2 Collect the terms in o**2 - 2*o**2 + 4*o**2 + 5*o**2. 8*o**2 Collect the terms in -v**3 + 0*v - v + v. -v**3 Collect the terms in 13 + 3*y - 4 + 5*y. 8*y + 9 Collect the terms in 25*p**3 - 15*p**3 - 12*p**3. -2*p**3 Collect the terms in -42*i + 1 + 0 + 7*i. -35*i + 1 Collect the terms in -3574 - 4*m + 3574. -4*m Collect the terms in 9*k**3 - 4*k**3 + 0*k**3. 5*k**3 Collect the terms in -16709*n**3 - 16711*n**3 + 33419*n**3. -n**3 Collect the terms in 2*c**3 + 545*c**2 - 545*c**2. 2*c**3 Collect the terms in -9*f**3 - 19*f**3 + 26*f**3. -2*f**3 Collect the terms in -15*h - 16*h + 3 + 18*h. -13*h + 3 Collect the terms in 9 + 712*o - 722*o - 9. -10*o Collect the terms in 3*u + 4 + 0*u + 3 + 1. 3*u + 8 Collect the terms in -37*w**3 - 5*w**3 - 23*w**3 + 7*w**3. -58*w**3 Collect the terms in -4*t + t + t + 2*t - t**2. -t**2 Collect the terms in 1572 - 1572 + 14*v**2. 14*v**2 Collect the terms in 9*a**2 - 11 + 2*a**2 + 4. 11*a**2 - 7 Collect the terms in -1630*j + 1630*j + j**2. j**2 Collect the terms in -5 - w - 5*w + 6*w - w**2. -w**2 - 5 Collect the terms in 57*o + 66*o - 123*o + 3*o**3. 3*o**3 Collect the terms in -42*p**3 + 86*p**3 - 46*p**3. -2*p**3 Collect the terms in 0*t - t + 2*t**3 + 3*t - 24*t**3. -22*t**3 + 2*t Collect the terms in 655*y - 3 - 124*y + 3. 531*y Collect the terms in -21*p**2 - 58*p**2 - p + p. -79*p**2 Collect the terms in -1 + 1 + 40*r. 40*r Collect the terms in -7*s + 0 + 98*s - 95*s + 0. -4*s Collect the terms in 7*i**2 - 386 + 386. 7*i**2 Collect the terms in -268 + 540 - 7*n - 272. -7*n Collect the terms in 64*j**3 - 184*j**3 + 61*j**3 + 58*j**3. -j**3 Collect the terms in -4*p**3 + 3*p**3 + 8*p**3. 7*p**3 Collect the terms in 3 - 4*o + 19 - 31. -4*o - 9 Collect the terms in 5*s*
{ "pile_set_name": "DM Mathematics" }
ultiple of 2? False Is 66168 a multiple of 120? False Does 234 divide 32696? False Is 435 a multiple of 29? True Is 17 a factor of 7275? False Is 24 a factor of 1032? True Is 26445 even? False Is 559 a multiple of 13? True Is 8643 a multiple of 2? False Is 828 a multiple of 36? True Is 312 a multiple of 6? True Is 7 a factor of 917? True Is 35 a factor of 618? False Is 9907 a multiple of 11? False Is 5 a factor of 12590? True Is 18 a factor of 1188? True Does 28 divide 16996? True Does 16 divide 17807? False Is 8960 a multiple of 112? True Does 26 divide 208? True Does 54 divide 76896? True Is 35 a factor of 3605? True Is 721 a multiple of 9? False Is 79 a factor of 6975? False Is 425 a factor of 46168? False Does 2 divide 17? False Is 25 a factor of 203? False Is 1848 a multiple of 11? True Is 24909 a multiple of 57? True Does 116 divide 2924? False Is 88 a factor of 1809? False Is 34425 a multiple of 135? True Does 9 divide 1467? True Is 32 a factor of 10656? True Does 58 divide 36308? True Is 10 a factor of 5976? False Is 23 a factor of 13733? False Is 9200 a multiple of 16? True Does 90 divide 6245? False Is 74 a factor of 1628? True Is 7915 a multiple of 6? False Does 6 divide 574? False Does 27 divide 18497? False Is 58 a factor of 3510? False Is 12 a factor of 360? True Does 3 divide 92? False Is 48 a factor of 48? True Is 42511 a multiple of 52? False Is 6690 a multiple of 15? True Does 25 divide 3429? False Is 3 a factor of 5239? False Does 19 divide 794? False Does 40 divide 540? False Is 70 a factor of 12110? True Is 120 a factor of 906? False Is 40 a factor of 9629? False Is 30 a factor of 3930? True Is 15 a factor of 856? False Does 33 divide 10591? False Does 9 divide 330? False Does 32 divide 3124? False Is 4 a factor of 7731? False Is 23245 a multiple of 118? False Does 20 divide 4680? True Is 1190 a multiple of 34? True Does 6 divide 377? False Is 13536 a multiple of 72? True Does 10 divide 262? False Is 5915 a multiple of 3? False Does 188 divide 43804? True Does 103 divide 18643? True Does 11 divide 112280? False Does 10 divide 10560? True Is 17 a factor of 102? True Is 4134 a multiple of 159? True Is 20196 a multiple of 66? True Is 13 a factor of 8359? True Is 2064 a multiple of 22? False Is 66 a factor of 462? True Is 6 a factor of 1807? False Is 9 a factor of 12089? False Is 6851 a multiple of 47? False Does 13 divide 273? True Is 4 a factor of 16? True Does 8 divide 5898? False Is 2538 a multiple of 9? True Is 95 a factor of 5985? True Is 1853 a multiple of 52? False Is 9 a factor of 422? False Does 13 divide 4106? False Is 1836 a multiple of 18? True Is 8246 a multiple of 19? True Does 11 divide 792? True Is 27984 a multiple of 53? True Is 97 a factor of 10961? True Is 9 a factor of 5193? True Is 16 a factor of 182? False Is 6942 a multiple of 45? False Does 9 divide 1080? True Does 18 divide 256? False Is 25 a factor of 425? True Is 161 a factor of 15571? False Is 12547 a multiple of 128? False Does 60 divide 4399? False Is 83 a factor of 79846? True Is 13 a factor of 2661? False Is 5112 a multiple of 72? True Is 1634 a multiple of 86? True Is 2976 a multiple of 31? True Is 8 a factor of 2168? True Does 17 divide 272? True Is 129 a factor of 29110? False Does 80 divide 6303? False Is 49 a factor of 900? False Is 104 a factor of 1560? True Is 67 a factor of 646? False Is 16 a factor of 114? False Is 147 a multiple of 49? True Is 1595 a multiple of 26? False Does 4 divide 4? True Does 12 divide 112231? False Is 7032 a multiple of 10? False Does 54 divide 8586? True Is 442 a multiple of 34? True Does 32 divide 224? True Is 20 a factor of 5620? True Is 14 a factor of 2664? False Does 7 divide 2045? False Is 2 a factor of 258? True Does 57 divide 21692? False Does 3 divide 1899? True Is 3149 a multiple of 73? False Is 42624 a multiple of 32? True Does 135 divide 19845? True Is 10 a factor of 110? True Is 1015 a multiple of 40? False Is 162 a multiple of 9? True Is 67983 a multiple of 31? True Does 17 divide 6596? True Is 17226 a multiple of 58? True Does 21 divide 5579? False Is 56 a factor of 60961? False Is 66 a factor of 23408? False Is 17835 a multiple of 14? False Is 49 a factor of 1813? True Is 155966 a multiple of 233? False Is 15 a factor of 5925? True Is 1074 a multiple of 53? False Does 22 divide 18528? False Is 342 a multiple of 57? True Is 988 a multiple of 19? True Does 35 divide 426? False Is 16494 a multiple of 81? False Does 12 divide 2340? True Is 27468 a multiple of 21? True Is 22055 a multiple of 11? True Is 28 a factor of 1071? False Is 479 a multiple of 26? False Is 791 a multiple of 41? False Is 13 a factor of 82986? False Is 25 a factor of 1925? True Is 83 a factor of 33093? False Does 13 divide 234? True Is 214 a multiple of 17? False Does 15 divide 5190? True Does 12 divide 35868? True Is 2500 a multiple of 2? True Is 15 a factor of 3670? False Is 64 a factor of 20402? False Is 4247 a multiple of 18? False Does 15 divide 405? True Does 5 divide 247? False Is 13 a factor of 1155? False Is 10244 a multiple of 105? False Does 11 divide 95040? True Is 20 a factor of 860? True Does 5 divide 1415? True Is 70992 a multiple of 204? True Does 21 divide 1584? False Does 11 divide 627? True Does 25 divide 975? True Is 4518 a multiple of 18? True Is 40 a factor of 360? True Does 18 divide 35370? True Is 13 a factor of 2509? True Is 14617 a multiple of 19? False Is 66 a multiple of 3? True Does 13 divide 55? False Is 40830 a multiple of 10? True Is 76 a factor of 28956? True Does 19 divide 2356? True Is 2 a factor of 3878? True Is 19 a factor of 209? True Is 1987 a multiple of 48? False Is 103461 a multiple of 48? False Is 136 a multiple of 8? True Does 5 divide 15? True Is 7 a factor of 616? True Does 14 divide 47017? False Is 20 a factor of 4500? True Does 28 divide 24780? True Is 19 a factor of 3724? True Is 6 a factor of 127? False Does 8 divide 7821? False Is 6240 a multiple of 104? True Does 40 divide 7859? False Does 6 divide 1326? True Is 14546 a multiple of 13? False Is 9 a factor of 4032? True Is 11 a factor of 1397? True Is 51 a factor of 9204? False Is 27 a factor of 2805? False Is 5606 a multiple of 7? False Is 4 a factor of 56? True Is 287 a multiple of 15? False Is 210 a multiple of 6? True Does 121 divide 18029? True Is 103 a factor of 3193? True Is 34235 a multiple of 41? True Does 23 divide 651? False Is 25 a factor of 204? False Is 6 a factor of 240? True Does 8 divide 1760? True Is 27257 a multiple of 97? True Is 44 a factor of 4506? False Is 64 a factor of 2560? True Is 170 a factor of 12580? True Does 14 divide 90482? True Does 110 divide 2310? True Does 12 divide 7125? False Is 21 a factor of 30534? True Does 5 divide 8825? True Is 192 even? True Is 32 a factor of 8777? False Is 42 a factor of 504? True Is 640 a multiple of 40? True Is 27 a factor of 30807? True Is 39795 a multiple of 105? True Does 6 divide 276? True Does 8 divide 1640? True Does 17 divide 782? True Does 165 divide 13365? True Is 1411 a multiple of 13? False Does 129 divide 41022? True Is 311 a factor of 62200? True Is 1628 a multiple of 3? False Is 57 a factor of 126540? True Does 19 divide 2071? True Does 31 divide 4901? False Is 81 a factor of 15795? True Is 4853 a multiple of 10? False Is 738 a multiple of 2? True Is 118 a multiple of 10? False Is 14 a factor of 252? True Is 1244 a multiple of 42? False Is 375 a multiple of 6? False Does 30 divide 917? False Does 25 divide 300? True Is 6 a factor of 3582? True Is 683 a multiple of 15? False Is 17 a factor of 879? False Is 12 a factor of 1169? False Does 193 divide 25476? True Is 316 a multiple of 7? False Is 9982 a multiple of 117? False Is 21 a factor of 2761? False Is 101 a multiple of 5? False Does 24 divide 888? True Is 28 a factor of 868? True Is 277 a multiple of 41? False Is 330 a multiple of 15? True Does 3 divide 6325? False Is 92 a factor of 11224? True Is 583 a multiple of 37? False Is 1425 a multiple of 61? False Does 11 divide 5802? False Is 18 a factor of 7060? False Is 6 a factor of 859? False Is 289 a multiple of 8? False Does 14 divide 406? True Is 69 a factor of 30537? False Is 7 a factor of 2296? True Is 66 a factor of 5478? True Is 75 a factor
{ "pile_set_name": "DM Mathematics" }
7? 129457877 What are the prime factors of 3905160? 2, 3, 5, 7, 4649 List the prime factors of 1670737012. 2, 7, 47, 1033, 1229 List the prime factors of 80941397. 1129, 71693 List the prime factors of 20082449. 19, 1056971 List the prime factors of 87494097. 3, 97, 300667 What are the prime factors of 1678832539? 1678832539 What are the prime factors of 424312309? 163, 2603143 List the prime factors of 701711902. 2, 350855951 List the prime factors of 858831120. 2, 3, 5, 7, 79, 719 List the prime factors of 239660156. 2, 43, 1393373 List the prime factors of 621982770. 2, 3, 5, 20732759 What are the prime factors of 1019702474? 2, 7, 61, 1194031 What are the prime factors of 231545627? 17, 509, 26759 List the prime factors of 2564107405. 5, 41, 53, 235997 List the prime factors of 36703720. 2, 5, 917593 What are the prime factors of 102408304? 2, 37, 172987 What are the prime factors of 2816222137? 2816222137 What are the prime factors of 5021551339? 7, 79, 9080563 What are the prime factors of 115967664? 2, 3, 805331 List the prime factors of 330773652. 2, 3, 11, 29, 9601 List the prime factors of 945379589. 7, 11, 1753951 What are the prime factors of 1574524414? 2, 19, 151, 274403 What are the prime factors of 442291352? 2, 55286419 What are the prime factors of 66427532? 2, 2131, 7793 What are the prime factors of 3321449771? 31, 107143541 List the prime factors of 132879726. 2, 3, 7, 311, 3391 What are the prime factors of 386896689? 3, 59, 242873 List the prime factors of 3290597592. 2, 3, 911, 150503 List the prime factors of 119301069. 3, 23, 1729001 What are the prime factors of 42298584? 2, 3, 17, 43, 2411 List the prime factors of 627004179. 3, 23222377 List the prime factors of 51333927. 3, 41, 149, 2801 What are the prime factors of 557076575? 5, 11, 2025733 What are the prime factors of 354360578? 2, 11, 13, 1239023 List the prime factors of 224493252. 2, 3, 18707771 List the prime factors of 27873083. 7, 3981869 List the prime factors of 564465411. 3, 62718379 What are the prime factors of 106973049? 3, 157, 383, 593 What are the prime factors of 525326657? 43, 71, 172069 What are the prime factors of 1094201126? 2, 23, 173, 359, 383 What are the prime factors of 4916756377? 13, 2237941 List the prime factors of 925856977. 9059, 102203 What are the prime factors of 156344056? 2, 11, 1776637 What are the prime factors of 17153608? 2, 67, 32003 List the prime factors of 9817223. 13, 755171 List the prime factors of 734934239. 13, 6047, 9349 List the prime factors of 4003558994. 2, 1879, 1065343 What are the prime factors of 1575027738? 2, 3, 1381, 63361 List the prime factors of 1713499073. 11, 13, 11982511 What are the prime factors of 936557181? 3, 7, 4955329 What are the prime factors of 127182790? 2, 5, 7, 73, 24889 List the prime factors of 1790533164. 2, 3, 7, 23, 926777 List the prime factors of 22992588. 2, 3, 47, 107, 127 What are the prime factors of 1450564652? 2, 19, 19086377 What are the prime factors of 153321263? 41, 107, 34949 List the prime factors of 730474336. 2, 22827323 What are the prime factors of 472068586? 2, 11, 167, 128489 List the prime factors of 132433618. 2, 66216809 List the prime factors of 74558155. 5, 7, 347, 877 What are the prime factors of 431850059? 431850059 What are the prime factors of 279727993? 373, 749941 What are the prime factors of 5993802? 2, 3, 332989 What are the prime factors of 95118666? 2, 3, 29, 43, 12713 What are the prime factors of 2399520834? 2, 3, 53, 5273 What are the prime factors of 71739116? 2, 17, 23, 45869 List the prime factors of 39090922. 2, 13, 17, 59, 1499 List the prime factors of 561455231. 23, 24411097 What are the prime factors of 34284697? 23, 1490639 List the prime factors of 7845016443. 3, 11, 277, 858223 List the prime factors of 33311113. 11, 101, 29983 What are the prime factors of 1513065828? 2, 3, 79, 1596061 List the prime factors of 97587485. 5, 19517497 List the prime factors of 626934622. 2, 113, 2774047 What are the prime factors of 501967735? 5, 100393547 What are the prime factors of 31913365? 5, 11, 331, 1753 List the prime factors of 1003135314. 2, 3, 167189219 What are the prime factors of 3095475413? 17, 47, 109, 35543 What are the prime factors of 1160778651? 3, 23, 2897, 5807 List the prime factors of 202972736. 2, 3171449 What are the prime factors of 801455334? 2, 3, 367, 363967 What are the prime factors of 140579530? 2, 5, 7, 13, 29, 761 List the prime factors of 367220221. 181, 2028841 List the prime factors of 41298234. 2, 3, 41, 167879 What are the prime factors of 35378415? 3, 5, 659, 1193 List the prime factors of 1612170340. 2, 5, 11, 827, 8861 What are the prime factors of 204391763? 204391763 What are the prime factors of 1894434133? 787, 2407159 List the prime factors of 3834549243. 3, 7, 61, 142543 What are the prime factors of 44420216? 2, 1009, 5503 List the prime factors of 51144489. 3, 11, 516611 What are the prime factors of 197934296? 2, 7, 47, 157, 479 What are the prime factors of 25288359? 3, 8429453 List the prime factors of 845124722. 2, 13, 97, 149, 173 What are the prime factors of 2313342732? 2, 3, 71, 2715191 What are the prime factors of 680150695? 5, 7, 19, 31, 32993 List the prime factors of 70511476. 2, 7, 2518267 What are the prime factors of 1061931697? 1061931697 List the prime factors of 94873139. 41, 67, 34537 List the prime factors of 233567703. 3, 19, 167, 8179 What are the prime factors of 146554632? 2, 3, 7, 29, 37, 271 List the prime factors of 618635606. 2, 309317803 List the prime factors of 3897446432. 2, 11, 11072291 What are the prime factors of 4874103921? 3, 29, 71, 313, 2521 List the prime factors of 280309414. 2, 7, 11, 109, 16699 List the prime factors of 922288918. 2, 19, 1297, 18713 List the prime factors of 1531429436. 2, 607, 630737 What are the prime factors of 74176954? 2, 29, 41, 31193 List the prime factors of 207418056. 2, 3, 61, 141679 List the prime factors of 94844963. 137, 692299 List the prime factors of 492495524. 2, 123123881 List the prime factors of 32479744. 2, 11, 73, 79 List the prime factors of 1724337874. 2, 7, 61, 2019131 What are the prime factors of 151367157? 3, 5606191 What are the prime factors of 2211658015? 5, 7, 5743, 11003 What are the prime factors of 80294558? 2, 40147279 What are the prime factors of 757903798? 2, 101, 233, 16103 List the prime factors of 284445692. 2, 23, 47, 157, 419 List the prime factors of 140958130. 2, 5, 14095813 What are the prime factors of 90440572? 2, 193, 607 What are the prime factors of 1183606343? 1129, 1048367 List the prime factors of 32964896. 2, 1030153 List the prime factors of 5714255299. 71, 80482469 What are the prime factors of 255848899? 10859, 23561 What are the prime factors of 77690988? 2, 3, 83, 107 List the prime factors of 256687676. 2, 7, 1309631 List the prime factors of 1999235885. 5, 14449, 27673 List the prime factors of 20461023. 3, 11, 31, 59, 113 What are the prime factors of 2701856898? 2, 3, 13, 1282933 What are the prime factors of 447245372? 2, 7, 101, 167, 947 What are the prime factors of 6519638631? 3, 11, 1632767 List the prime factors of 50069163. 3, 227, 73523 What are the prime factors of 3745457964? 2, 3, 167, 622997 List the prime factors of 5721551548. 2, 19, 83, 907031 List the prime factors of 282293467. 23, 12273629 List the prime factors of 57019338. 2, 3, 3167741 List the prime factors of 599532456. 2, 3, 127, 239, 823 What are the prime factors of 129345590? 2, 5, 11, 271, 4339 List the prime factors of 2828833635. 3, 5, 919, 205211 What are the prime factors of 5408256584? 2, 61, 277, 40009 What are the prime factors of 126161527? 37, 43, 179, 443 List the prime factors of 195055578. 2, 3, 10836421 What are the prime factors of 84241742? 2, 13, 107, 283 List the prime factors of 634076225. 5, 25363049 What are the prime factors of 104863966? 2, 191, 223, 1231 What are the prime factors of 374671857? 3, 7, 17, 43, 24407 List the prime factors of 47107364. 2, 37, 71, 4483 What are the prime factors of 181761159? 3, 41, 599, 2467 List the prime factors of 547413375. 3, 5, 397, 3677 List the prime factors of 1535856225. 3, 5, 2521, 8123 List the prime factors of 797228773
{ "pile_set_name": "DM Mathematics" }
Four letters picked without replacement from {a: 2, u: 2, s: 4, c: 1}. Give prob of sequence auua. 1/756 Calculate prob of sequence dau when three letters picked without replacement from aadaudaaaa. 7/360 What is prob of sequence jrqr when four letters picked without replacement from {j: 1, k: 3, q: 2, r: 6}? 1/198 Two letters picked without replacement from qqqqrqrqrrrr. What is prob of sequence rr? 5/22 Two letters picked without replacement from {x: 8, k: 5, r: 3, d: 1, f: 2}. What is prob of sequence xr? 4/57 What is prob of sequence vbii when four letters picked without replacement from {i: 2, k: 1, u: 1, b: 1, v: 1, z: 1}? 1/420 Two letters picked without replacement from ttlntplttplpptppdpt. What is prob of sequence ll? 1/57 Three letters picked without replacement from {i: 8, k: 2}. What is prob of sequence ikk? 1/45 Calculate prob of sequence hh when two letters picked without replacement from {x: 1, o: 1, u: 2, h: 2, z: 1}. 1/21 Two letters picked without replacement from {w: 4, l: 5, x: 3}. What is prob of sequence lx? 5/44 Calculate prob of sequence dw when two letters picked without replacement from {w: 4, d: 3}. 2/7 Four letters picked without replacement from {d: 2, t: 1, n: 1, a: 2, z: 1}. What is prob of sequence data? 1/210 Four letters picked without replacement from {t: 1, l: 10, v: 2, e: 2, d: 1}. What is prob of sequence evve? 1/10920 Calculate prob of sequence uuum when four letters picked without replacement from {m: 5, u: 9}. 15/143 Three letters picked without replacement from {b: 5, u: 2, y: 9}. What is prob of sequence ubu? 1/336 Four letters picked without replacement from {h: 4, d: 2, m: 2, z: 2}. What is prob of sequence hzdd? 1/315 Calculate prob of sequence ozm when three letters picked without replacement from zuuooaoomouoomaua. 7/2040 Calculate prob of sequence fx when two letters picked without replacement from {q: 4, x: 1, f: 1, b: 1, o: 1}. 1/56 Calculate prob of sequence xg when two letters picked without replacement from {g: 1, y: 1, x: 1}. 1/6 Four letters picked without replacement from gggpopogigig. What is prob of sequence igio? 1/495 Two letters picked without replacement from gqzqqqqqqgzzqzzzqqzq. What is prob of sequence qz? 77/380 Two letters picked without replacement from dfiwj. What is prob of sequence wf? 1/20 What is prob of sequence pv when two letters picked without replacement from {p: 2, w: 8, v: 2}? 1/33 Four letters picked without replacement from ebbedebeeedbexeexebe. What is prob of sequence dxeb? 11/5814 Two letters picked without replacement from mvmivmviimimmvivtiiv. What is prob of sequence it? 7/380 Four letters picked without replacement from qqqqhqqqhqqhhqqhqqqq. Give prob of sequence qhqq. 455/3876 Three letters picked without replacement from gqbbbggqggdgdabggqd. Give prob of sequence ddb. 4/969 Calculate prob of sequence hhx when three letters picked without replacement from {h: 2, x: 1}. 1/3 What is prob of sequence kvk when three letters picked without replacement from vkuugkvvvkglgg? 1/91 What is prob of sequence tmu when three letters picked without replacement from {t: 1, m: 2, e: 1, k: 2, u: 1, p: 1}? 1/168 Calculate prob of sequence foo when three letters picked without replacement from ofpppppfppppo. 1/429 Calculate prob of sequence upus when four letters picked without replacement from {u: 3, p: 3, s: 5}. 1/88 What is prob of sequence tmyn when four letters picked without replacement from {m: 3, y: 8, t: 3, n: 3}? 9/2380 Calculate prob of sequence iii when three letters picked without replacement from jjijjijjjjijjjijjj. 1/204 Three letters picked without replacement from {j: 1, l: 2, w: 1}. What is prob of sequence jwl? 1/12 Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}. 1 Three letters picked without replacement from hhuhuhhhh. What is prob of sequence uhu? 1/36 Four letters picked without replacement from {v: 3, a: 1, i: 7, d: 3, f: 3, e: 2}. What is prob of sequence edia? 7/15504 Calculate prob of sequence ttu when three letters picked without replacement from {v: 1, u: 5, q: 1, t: 2, y: 3}. 1/132 What is prob of sequence lkkv when four letters picked without replacement from klkllvokkrv? 1/110 Three letters picked without replacement from nttttttttionotoot. Give prob of sequence ion. 1/510 Calculate prob of sequence yig when three letters picked without replacement from {y: 1, n: 2, g: 1, i: 1}. 1/60 Three letters picked without replacement from agbgggmgeggegoaobgae. Give prob of sequence ooa. 1/1140 What is prob of sequence ntxt when four letters picked without replacement from {x: 6, t: 6, n: 7}? 35/2584 Two letters picked without replacement from qnchf. What is prob of sequence nq? 1/20 Three letters picked without replacement from {a: 2, q: 1, k: 1, m: 1}. Give prob of sequence akq. 1/30 Calculate prob of sequence dm when two letters picked without replacement from {d: 6, m: 8, q: 3}. 3/17 What is prob of sequence ekb when three letters picked without replacement from {s: 2, e: 2, b: 11, k: 4}? 44/2907 Calculate prob of sequence bbat when four letters picked without replacement from {b: 9, i: 1, t: 6, a: 3}. 9/646 Calculate prob of sequence zc when two letters picked without replacement from czduufdzffffucf. 2/105 Calculate prob of sequence jjj when three letters picked without replacement from {y: 8, j: 3}. 1/165 What is prob of sequence kkf when three letters picked without replacement from sksfsvsspksbvsb? 1/1365 Two letters picked without replacement from avycacycyr. What is prob of sequence yv? 1/30 Three letters picked without replacement from {f: 4, y: 2, i: 3, p: 1, b: 4, o: 1}. Give prob of sequence bib. 6/455 Two letters picked without replacement from {z: 2, p: 2, o: 2}. What is prob of sequence op? 2/15 What is prob of sequence eyow when four letters picked without replacement from ooeooewoyywoeooww? 2/595 Two letters picked without replacement from {m: 2, t: 2, e: 9, w: 6}. What is prob of sequence ee? 4/19 Three letters picked without replacement from {n: 2, l: 3, u: 1, m: 3, p: 1}. What is prob of sequence mpu? 1/240 What is prob of sequence gmq when three letters picked without replacement from {m: 6, g: 4, q: 3}? 6/143 Three letters picked without replacement from {p: 1, o: 1, c: 1, n: 5, a: 1}. Give prob of sequence cna. 5/504 Four letters picked without replacement from aiiszidsi. Give prob of sequence ssda. 1/1512 What is prob of sequence hh when two letters picked without replacement from hzplfhzzfh? 1/15 Calculate prob of sequence hqur when four letters picked without replacement from hqhhvuuvhurh. 1/792 Two letters picked without replacement from {b: 1, p: 2, i: 2, l: 1, g: 2, j: 1}. What is prob of sequence bi? 1/36 Three letters picked without replacement from {j: 6, t: 2, p: 11}. What is prob of sequence jjt? 10/969 Calculate prob of sequence tp when two letters picked without replacement from ptpp. 1/4 Three letters picked without replacement from {z: 1, e: 2, w: 2, n: 6}. Give prob of sequence eew. 2/495 What is prob of sequence nss when three letters picked without replacement from snss? 1/4 Three letters picked without replacement from wgtbwgn. What is prob of sequence wnb? 1/105 What is prob of sequence cysc when four letters picked without replacement from {s: 8, y: 6, c: 3}? 3/595 What is prob of sequence hrr when three letters picked without replacement from hhhrhhhhhrhr? 9/220 What is prob of sequence ph when two letters picked without replacement from mtphs? 1/20 Three letters picked without replacement from {f: 2, a: 3, u: 1, q: 1}. Give prob of sequence fqu. 1/105 What is prob of sequence iifi when four letters picked without replacement from {f: 10, w: 2, i: 3, g: 3}? 1/1224 Two letters picked without replacement from ixqkieeiqfqiqk. Give prob of sequence kx. 1/91 Three letters picked without replacement from ijpjvvjmipjijjjuj. What is prob of sequence iji? 1/85 Four letters picked without replacement from {k: 4, f: 14}. What is prob of sequence kfkf? 91/3060 Calculate prob of sequence sms when three letters picked without replacement from smmmsms. 4/35 Three letters picked without replacement from ojojrjjjjjjjjoojroj. Give prob of sequence roo. 20/2907 Four letters pick
{ "pile_set_name": "DM Mathematics" }
+ 14). Let q = -8 - -36. Suppose 4*g - q = 2*z, 3*g + 3*z - 13 = -2*g. Solve 5*l + x + 0 - 18 = 0, a*x - 24 = -g*l for l. 3 Suppose 4 + 66 = -5*i + 5*h, -3*h - 13 = 2*i. Let f(r) = -r - 7. Let o be f(i). Suppose -5*w - o = -24. Solve -4*u = -3*d + 27, w*u + 9 = d - 8 for d. 5 Suppose -z + 5*x - 3 = -0*x, -3*x = 4*z - 11. Solve 4*b - z*y = y, -3*b + 2*y = -1 for b. 3 Let m = -5 - -9. Solve -5*p = -m*j + 6, -17 = 4*j + 4*p - 5 for j. -1 Suppose d - 4 + 3 = 0, 3*j + 7 = -2*d. Let m be 6/15*(-30)/j. Let o = -3 - -14. Solve -l - o = m*v - 4*l, 22 = -2*v - 4*l for v. -5 Let u = -3 + 5. Let p be (9/(-6) - -2)*6. Suppose 3*a + 3 = p*g, -4*g + a = -g - 7. Solve 3 = g*r - h + 5, u*h = -2*r - 4 for r. -1 Let t(a) = a**2 + 9*a - 8. Let f be t(-10). Suppose -8 = -f*j - 2*r, -j - 3*r + 9 = j. Solve -16 = -n - 4*v + 5, 3*n + j*v - 27 = 0 for n. 5 Let f(b) = b**3 - 6*b**2 - b + 2. Let k be f(5). Let d = -14 - k. Solve t + 20 = 5*l, 5*t + 5*l = 6 + d for t. 0 Suppose 0 = 4*r + 1 + 15. Suppose f + 15 = 6*l - l, l + 13 = -3*f. Let i be 6/r + 43/l. Solve 3*a + 2*h - 21 = 8*a, 2*a = -5*h - i for a. -5 Let d(z) = -z + 5. Let w be d(5). Let j = -7 - -12. Solve j*a - 7 = i, w = -a - 2*i - 3 for a. 1 Suppose 2*j - w = 4*w + 24, 4*j = -4*w - 8. Suppose 37 = 3*z - j. Suppose -5*a + 2*o + z = 0, -1 = -3*a + 4*o + 4. Solve a = -4*v - 1, -2*p - v - 7 = 0 for p. -3 Suppose -8*y - 15 = -3*y. Let t = y - -3. Solve l - 5*a = 8, -4 = 4*l - t*a - 2*a for l. -2 Suppose -2*t = 16 + 40. Let h be (-7)/(t/(-8)) - -6. Solve -4*a - 2*i = -h, -3*a + 4*i + 0*i = -25 for a. 3 Let k(x) = -2*x + x + 8 + 2*x. Suppose 16 - 6 = -3*v - 4*m, -5*m = -2*v - 22. Let n be k(v). Solve 2*u - n*w = -2, -5*u + 17 = -2*w + 7 for u. 4 Let d = 10 - 8. Solve 2*s - 5*g = -25, s = -d*g + 6 + 4 for s. 0 Suppose -t + 2*t - 18 = -5*p, 4*p = t + 9. Suppose -4*k + 6*k - 10 = 0. Solve -3*w - 1 = 4*m, k*m + 1 = p*w - 7 for m. -1 Let d be (-2)/((-2)/(-2)*-1). Suppose 88 = 3*u - d. Solve u = -2*p + 4*a, 3*p - a + 28 = 8 for p. -5 Let h(t) = t**3 + 2*t**2 - 2*t - 1. Let l = -8 - -6. Let o be h(l). Let g be 1 + 6 + (-6)/o. Solve r + g = -2*j, -j + 0*j = r for j. -5 Let u be ((-1)/3)/(2/(-18)). Suppose -4*s = -5*n + 7, 4*s + u = -n + 14. Solve -a - 4*k = 2*a + 12, n*k = 0 for a. -4 Suppose 3*v = 3, 5*x + 7*v - 2*v - 15 = 0. Solve h - x*a + 1 - 5 = 0, -9 = 3*a for h. -2 Let r be 0*3/6 + 2. Let z be (-2 - 0/(-1))/r. Let g = z + 4. Solve 3*s = -2*d + 2*s + 1, 0 = g*d - 4*s - 18 for d. 2 Let q(o) = -o**2 - 4*o + 6. Let f be q(-5). Suppose a + f = 13. Solve -a = 2*z - 2*u, -4*u + 22 = -z + u for z. -2 Let o be 11/3 + 6/(-9). Suppose k + 6 = o*k. Let m = -1 + k. Solve d = -5*z + 30, m*d + 2*d - z - 15 = 0 for d. 5 Suppose 0 = 6*c - c - 90. Let g be 76/18 - 4/c. Suppose 0*x + 24 = g*x + 3*d, -2*x = -4*d + 10. Solve x*p + 3*k - 13 = k, -17 = -5*p - k for p. 3 Let b = 128 + -121. Solve 3*a - 4*v + 4 = -b, v = a + 3 for a. -1 Let q(a) = -a**2 + 3. Let y(d) = d**3 + 5*d**2 + 3*d - 4. Let x be y(-4). Let j be q(x). Solve 6*t = t - 2*z + j, 2 = t - z for t. 1 Suppose g - 3 = -c, 4 = 3*c - 4*g + 2*g. Suppose -y + 5*m = 3 - c, 0 = -5*y + 2*m + 18. Solve 0 = -3*n + 6*n - x - 12, -2*x = -n + y for n. 4 Let t be -2 + 6/2 + 4. Solve n - 6*n = c + 9, -t*n + c = 1 for n. -1 Let m(c) = -2*c - 4 + 5*c - 4*c. Let q be m(-6). Solve a = -q*f - 0*f - 5, 0 = -2*a - 5*f - 15 for a. 5 Suppose 2*f = 4*j + 6*f - 44, 0 = 5*j - 5*f - 95. Let a = -11 + j. Let b = 0 + a. Solve -5*y - 5 + 34 = -2*s, -s - 22 = -b*y for y. 5 Suppose -2*m + 4 = 4*l - 0, -l - 5*m = 8. Suppose -2*z = l*z - 12. Suppose z + 1 = f. Solve h - 3*n = -2*n, 5*h - f*n = 0 for h. 0 Suppose -2*w = 1 - 5. Let j be 4/(-14) - (-4)/14. Suppose -4*f + f + 15 = j, -w*f = -5*i. Solve i*g + 8 - 2 = -l, 0 = 3*l for g. -3 Suppose 6*k = 5*k + 20. Let m = k - 16. Solve -2*h = m*w + 14, -6*w + h - 14 = -w for w. -3 Suppose -3*s + 2*y + 5 = -8, -y + 1 = s. Solve 4 + 4 = -s*x - u, 4*x = -4*u for x. -4 Suppose -2*u = -2*y + 4, y + 2*u = -2*u + 7. Solve 0*r = -2*x - r + 4, y*x = 4*r + 17 for x. 3 Let n(d) = -d**3 + 3*d**2 + 5*d. Let r be n(4). Suppose w + 0*w = r. Solve 18 = w*u + 3*i - 5*i, 5*i = -25 for u. 2 Let c(z) be the first derivative of 1 - 1/2*z**2 + 10*z. Let o be c(7). Solve 6 = o*l + 2*k, -2*l + 5*k - 15 = l for l. 0 Let h(q) = 2*q - 2. Let m be h(3). Suppose -2*a = -0*a - m. Solve a*l = -3*n + 6*l - 11, -4*n - 10 = -3*l for n. -1 Let d be -2 - ((-2)/(-1) - 39). Suppose 3*c = -2*c + 25. Solve -2*b = 3*b - 5*g + d, c*g - 15 = 0 for b. -4 Let g be 6/5*40/16. Let k(o) = o - 2. Let f be k(4). Solve f*c = 4*l + 4, -12 = 3*c + g*l - 0*l for c. -2 Suppose 0 = 2*k, s + 2 + 1 = -4*k. Let v be 0 - (-3 - 3/s). Solve 2*m = -2*x + 8, -v*x + 23 = -0*m + 5*m for m. 5 Let h(d) = -d**3 + 9*d**2 - 3 - 11*d**2 + d + 0*d. Let t be h(-3). Solve 3*s = t*a + 12, 2*s - 16 = -3*s + a for s. 3 Let m(p) = 2*p**3 + p**2 - p + 1. Let n be m(1). Solve -11 = n*o + 5*r, 5 = -2*o - 2*r + 3 for o. 3 Suppose 32 = 5*k + 17. Solve 2*u = -k*b - 18, -6 = u - 3 for b. -4 Let u = -7 - -11. Suppose -u*c + 84 = -5*l, c + l = -2*l + 4. Solve 4*g - c = -2*z + 6*z, -3*z = 4*g - 16 for z. 0 Suppose 4*n - 4*d + 64 = 0, 2*n + 4*d + d + 46 = 0. Let l be (n/(-8))/((-3)/8). Let o be l/5*(-1 - 4). Solve 0 = 5*q + 3*f + o, f = -2*q - f - 4 for q. 0 Suppose -3*a = a - 20. Let v(y) = -y**2 - 6*y + 5. Let q be v(-5). Solve 2*t + 3*t = 2*j, -a*t - q = 0 for j. -5 Let q(m) be the second derivative of m**5/20 - m**4 + m**2/2 - m. Let j be q(12). Solve o + 5*i = 29, -i - j = 3*o - 18 for o. 4 Suppose -18*s + 5 = -17*s. Solve -s*b + 15 = -5*n, 21 = 4*b + 6*n - n for b. 4 Suppose -19*r + 21*r = 6. Solve -5*i - 2*q = -i - 6, -i - r*q = 6 for i. 3 Suppose -14 = -6*q + 4. Solve -5*n = 2*u + 5, -3*n + 2*u = -u + q for n. -1 Suppose 0 = -4*w - 4 + 12. Solve 4 = w*o + 5*s, 5*o + 0*s + 21 = 3*s for o. -3 Suppose 6*q - 3*q = h + 74, 2*q + h = 41. Let l(p) = -4*p. Let w be l(-1). Solve -24 = o + 4*v, w*v = -2*o + v - q for o. -4 Let h = 1 + 2. Let q be 1 + ((-42)/(-2) - 2). Suppose 2*b - 12 = -2*b. Solve h*o = 3*i, b*i + 0*o + q = -o for i. -5 Let w be (-3)/((-38)/18 - -2). Solve -5*j - 3*r = w, -5*j = -3*r + 4 - 1 for j. -3 Let n(p) = -p**3 + 5*p**2 - 4*p. Let k be n(4). Solve k*l - 2*h - 7 = 5*l, 4*l = -3*h - 7 for l. -1 Let z = -19 - 1. Let u = -12 + 20. Let o be u/z + (-34)/(-10). Solve 5*d - 9 = o*l, -l - 5 = -3*d - 2 for l. -3 Suppose -2*y + 7*y = 4*z + 109, z + 1 = 0. Solve -5*r = -4*j + 16, -4*r - j - y = -4 for r. -4 Suppose -5*i - 30 = -5*z, i + i + 4 = 0. Suppose -2*y - z = 6. Let f(d) = -d**2 - 6*d - 1. Let x be f(y). Solve 0 = 3*l + 3*b + 21, -4*l = -7*l + x*b for l. -4 Let x be (-4)/(12/(-9)) + -1 - -3. Solve 0 = -5*r - x, -5*l + l + 3*r = -7 for l. 1 Let d(m) = -m**2 - 7*m - 3. Let s be d(-6). Let p = 49 - 45. Let b = 2 - 2. Solve -s*u = -4*u - i - 5, -p*i = b for u. -5 Let s(r) = -r - 1. Let h be s(-5). Solve -5*d = h*f + 16, -4*d - f - 3 = 1 for d. 0 Suppose -s = 5*h - h, s = -3*h + 4. Suppose -s = -w + 2*b - 7, w = -b. Solve w*f + 16 = -q, 2*q = -4*f + 4*q - 8 for f. -4 Suppose c + 0 - 2 = 0. Let b(k) = k**2 + 2*k + 1. Let s be b(-1). Suppose r = -s*r + c. Solve r*w = -4*j - 9 - 11, 0 = -4*j - 20 for w. 0 Let k = 19 + -15. Solve -f + 5 = 4*c + k*f, 20 = 4*f for c. -5 Let m(w) = -4 + 10*w**2 - 2*w + w**3 + 2*w + 8. Let c be m(-10). Solve -4 = 5*n - q, -3*n + 5*q - 2 = -c for n. -1 Suppose -5*o - 4 = -3*x, -o = 5*x - 4*o - 12. Let q(n) = -n + 4. Let v be q(x). Let u be -1 + -1 + v - -18. Solve w - f + u = 6*w, -3*w + 11 = f for w. 3 Let y be 2/(-8) + (-22)/8. Let n be 1/(-1) - 3*y. Let z(u) = -u**2 - 3*u + 4. Let k be z(-3). Solve 17 = -4*i - l, i + n = -0*i - k*l for i. -4 Let c be (-5 - (-69)/9) + 2/(-3). Solve -u = 7 - c, 4*u = 4*g - 8 for g. -3 Suppose 0 = 2*u + 3*u - 85. Solve -4*m = -4, -4*l + 3*m + u = 4*m for l. 4 Let w = 71 + -67. Solve 25 = 3*b - w*k, 0*b - 3*b + 3*k = -21 for b. 3 Let u(b) = -10*b - 1. Let f be u(-1). Suppose -h - 7 = -4*q + 1, -4*q + 20 = 0. Let l be h/(-54) + 2/f. Solve -5*m + 3*o + 35 = l, m + 4*o = -4*m for m. 4 Let j(r) = -r**3 - 14*r**2 - 15*r - 4. Let w be j(-13). Let z(g) = -g**3 + 3*g**2 - 3*g + 2. Let k be z(2). Solve 4*n + 27 = -5*a, k = 5*a + n + w - 4 for a. -3 Suppose -10 - 10 = -5*z. Let d be 11/z +
{ "pile_set_name": "DM Mathematics" }
e of 2/3*q**3 - q**2 - 2 - n*q**5 + 0*q + 1/2*q**4. Factor s(l). -2*l*(l - 1)**2*(l + 1) Let k(q) = -q**2 + 2*q. Let h be k(2). Suppose p + 0 - 3 = h. Let 4 - 4*v**3 + 5*v**p - 4*v**2 + 5*v**3 - 6*v + 0*v**3 = 0. What is v? -1, 2/3, 1 Let z be (-5)/(20/16*-1). Suppose 2/3*c**z - 2/3*c**3 + 0*c + 0 + 0*c**2 = 0. Calculate c. 0, 1 Factor 0*f + 2/17*f**3 + 2/17*f**2 + 0. 2*f**2*(f + 1)/17 Suppose -5 = -5*j - 0. Let v be (-4*6/(-16))/j. Suppose 0*i - i**2 - 1/2*i**4 + 0 - v*i**3 = 0. Calculate i. -2, -1, 0 Let o(u) be the third derivative of -u**8/672 + u**7/70 - 13*u**6/240 + u**5/10 - u**4/12 - 7*u**2. Factor o(i). -i*(i - 2)**2*(i - 1)**2/2 Let o(m) = 2*m**3 + 2*m**2 + 8*m. Let y(j) = -2*j**3 - j**2 - 7*j. Let k(n) = 5*o(n) + 6*y(n). Factor k(s). -2*s*(s - 1)**2 Factor 1/3*i**3 - 2*i**4 + 0 - 3/2*i**5 + 2/3*i**2 - 1/6*i. -i*(i + 1)**2*(3*i - 1)**2/6 Solve 25*a**4 - a**5 + 0*a**2 - a + 2*a**3 - 2 + 4*a**2 - 27*a**4 = 0 for a. -2, -1, 1 Let 8/3*x**2 + 6 - 8*x = 0. What is x? 3/2 Let g(o) be the second derivative of 0*o**2 + 1/24*o**4 - 7*o + 0*o**3 + 0 - 1/40*o**5. Solve g(a) = 0 for a. 0, 1 Suppose 12 = 5*g - 3*i + 5*i, -i = -4*g + 20. Let m be 9/(-15) - (g + -7). Let -11/5*p**3 - 1/5 + 3/5*p + 1/5*p**2 + m*p**4 - 4/5*p**5 = 0. Calculate p. -1/2, 1/2, 1 Let n(t) be the first derivative of 21*t**6/2 - 249*t**5/5 + 117*t**4/2 + 12*t**3 - 12*t**2 - 55. Find c such that n(c) = 0. -1/3, 0, 2/7, 2 Factor 2 + 4/3*t**3 - 14/3*t**2 + 4/3*t. 2*(t - 3)*(t - 1)*(2*t + 1)/3 Let f be ((-131)/7)/(96/(-7)). Let s = -1/32 + f. Factor 1/3*n**2 - s*n + 4/3. (n - 2)**2/3 Let t = 116 + -810/7. Let z be 1*(6 + -2) + -2. Factor -t*y**3 + 2/7*y + 2/7 - 2/7*y**z. -2*(y - 1)*(y + 1)**2/7 Let x(q) be the first derivative of 3/4*q**4 + 5 - 2*q**3 + 3/2*q**2 + 0*q. Let x(j) = 0. What is j? 0, 1 Let a(l) be the first derivative of 3*l**5/35 + 3*l**4/14 - l**3/7 - 3*l**2/7 + 5. Solve a(f) = 0. -2, -1, 0, 1 Let h(u) be the third derivative of u**7/42 + u**6/8 + u**5/4 + 5*u**4/24 + 2*u**2. Factor h(n). 5*n*(n + 1)**3 Let q be 9/10*60/45. Solve -3/5*v**2 - 3/5 + q*v = 0 for v. 1 Suppose 2 - 6 = -k. Suppose k*y + 2*r - 16 = -0*r, -3*r + 2 = -5*y. Find g such that -3*g + 0*g**y + g + g**2 = 0. 0, 2 Suppose -18*m = -15*m. Let p(v) be the second derivative of 3*v + 0*v**2 + m*v**4 - 3/20*v**5 + 0 + 1/15*v**6 + 1/6*v**3. Factor p(g). g*(g - 1)**2*(2*g + 1) Let g(y) = y**2 + 1. Let q(c) = 5*c**2 + 50*c - 115. Let b(m) = 10*g(m) - q(m). Find k, given that b(k) = 0. 5 Let d(l) be the second derivative of -2*l + 1/21*l**3 + 0 + 1/42*l**4 + 0*l**2. Factor d(p). 2*p*(p + 1)/7 Determine g, given that 9 - 14*g**2 + 5 - 10 + 6*g**3 + 4 = 0. -2/3, 1, 2 Let k(i) = i**2 - 5*i - 50. Let a be k(-5). Solve 2/5*c**2 - 2/5*c + a = 0 for c. 0, 1 Let y(h) be the second derivative of -h**7/189 - h**6/135 + h**5/45 + h**4/27 - h**3/27 - h**2/9 - 15*h. Solve y(u) = 0. -1, 1 Let s be (-6)/8*16/(-6). Let m(l) be the first derivative of s + l**2 - 2/3*l**3 + 0*l. Solve m(w) = 0 for w. 0, 1 Factor 3*b - 66*b**2 + 11*b + 2 + 50*b**2. -2*(b - 1)*(8*b + 1) Let s(y) be the second derivative of -y**6/150 - y**5/50 - y**4/60 + 12*y. Factor s(a). -a**2*(a + 1)**2/5 Solve -3/5*q**3 - 3/5*q**4 - 1/5*q**2 - 1/5*q**5 + 0*q + 0 = 0. -1, 0 Let u(m) = -m**2 - 5*m - 1. Let h(y) = -y**2 - 6*y - 1. Let a(o) = -3*h(o) + 4*u(o). Determine s, given that a(s) = 0. -1 Let a(h) = 84*h**3 - 276*h**2 + 232*h - 48. Let t(c) = 56*c**3 - 184*c**2 + 155*c - 32. Let n(s) = -5*a(s) + 8*t(s). Factor n(w). 4*(w - 2)*(w - 1)*(7*w - 2) Let n(d) be the third derivative of 0*d**3 + 0 + 0*d + 1/840*d**7 + 1/240*d**6 + 1/240*d**5 + 0*d**4 + 6*d**2. Solve n(k) = 0 for k. -1, 0 Let l(i) = -i - 1. Let b be l(-5). Let r(w) be the third derivative of 1/48*w**b - 1/80*w**6 + 0 + 0*w**3 - 1/60*w**5 + 0*w - w**2. Factor r(n). -n*(n + 1)*(3*n - 1)/2 Suppose -1 = 3*u - h - 4, 3*h + 9 = -3*u. Let d(f) be the second derivative of 2*f - 1/12*f**3 + 1/48*f**4 + 1/8*f**2 + u. Factor d(x). (x - 1)**2/4 Let t(z) = -z**2 - 9*z - 5. Let l be t(-8). Determine w, given that -3*w + w**2 - 10*w**3 - 4*w**2 + w**4 + 25*w**l - 10*w**4 = 0. -1/3, 0, 1 Let d(l) = -3*l**2 - 15*l - 27. Let y(m) be the third derivative of m**5/10 + 31*m**4/24 + 9*m**3 - 6*m**2. Let r(h) = 5*d(h) + 3*y(h). Factor r(o). 3*(o + 3)**2 Suppose 4/7 - 2*s + 2/7*s**5 + 16/7*s**2 - 4/7*s**4 - 4/7*s**3 = 0. What is s? -2, 1 Let l(u) = -8*u**3 - 2*u**3 + 2*u**4 + 8*u**2 + 0*u**2 - 6*u. Let y(d) = 2*d**4 - 11*d**3 + 7*d**2 - 7*d. Let h(f) = -3*l(f) + 2*y(f). Let h(o) = 0. What is o? 0, 1, 2 Let h(l) be the second derivative of l**6/105 - l**5/14 + 3*l**4/14 - l**3/3 + 2*l**2/7 - 32*l. Factor h(r). 2*(r - 2)*(r - 1)**3/7 Let j = -22 - -22. Let p(d) be the second derivative of 1/2*d**4 + d**3 + 1/10*d**5 + j + d**2 - d. Determine i so that p(i) = 0. -1 Let d be 1302/(-9) + 6/9. Let s = d + 1298/9. Find h such that 2/3*h**3 + s*h - 8/9*h**5 + 0 + 10/9*h**2 - 10/9*h**4 = 0. -1, -1/4, 0, 1 Let u(j) be the third derivative of 9*j**7/70 - 3*j**6/2 - 173*j**5/20 - 35*j**4/2 - 18*j**3 + 9*j**2. Factor u(c). 3*(c - 9)*(c + 1)*(3*c + 2)**2 Let x(c) be the third derivative of -25*c**8/1848 + 16*c**7/231 - 47*c**6/330 + 8*c**5/55 - 3*c**4/44 - 10*c**2. Solve x(a) = 0. 0, 3/5, 1 Factor -3/2 - 17/4*q - 5/4*q**2. -(q + 3)*(5*q + 2)/4 Let s(q) = -14*q**5 + 46*q**4 - 54*q**3 + 24*q**2 - 4*q. Let i(g) = 28*g**5 - 92*g**4 + 108*g**3 - 47*g**2 + 8*g. Let h(t) = -2*i(t) - 5*s(t). Factor h(x). 2*x*(x - 1)**3*(7*x - 2) Let o(x) be the second derivative of x**6/60 - x**5/30 - x**4/12 + x**3/3 - 2*x**2 - 3*x. Let k(r) be the first derivative of o(r). Find f, given that k(f) = 0. -1, 1 Let c be -3 - (-2)/4*10. Let b(k) = k. Let q(i) = -i**2 + 3*i. Let d(a) = c*b(a) - q(a). Factor d(u). u*(u - 1) Let z be 5/(-35)*(-14)/96. Let o(s) be the third derivative of 0 + z*s**4 + 1/240*s**6 - s**2 + 0*s**3 - 1/60*s**5 + 0*s. Factor o(d). d*(d - 1)**2/2 Let k(v) = 35*v**4 + 25*v**3 - 96*v**2 + 25*v. Let g(l) = 12*l**4 + 8*l**3 - 32*l**2 + 8*l. Let m(b) = -11*g(b) + 4*k(b). Factor m(j). 4*j*(j - 1)*(j + 3)*(2*j - 1) Let r = 141 + -138. What is y in -y**r + 1/2*y**2 - 3/4*y**4 + y + 1/4 = 0? -1, -1/3, 1 Let q(n) be the second derivative of -n**4/12 - n**3/6 + n**2 + 21*n. Factor q(w). -(w - 1)*(w + 2) Suppose -2*q**2 + 2 - 8*q**3 + 16/3*q + 8/3*q**4 = 0. What is q? -1/2, 1, 3 Let v(i) = -4*i**3 + 4*i + 4. Let t(m) = -m**4 - m**3 - m - 1. Let u(k) = -4*t(k) - v(k). Factor u(j). 4*j**3*(j + 2) Suppose -s + 7 = 2*t, 5*t + 4*s - 13 = 3*s. Factor -t*q - q**4 - 6*q**2 - q - 3 - q + 2 - 4*q**3. -(q + 1)**4 Let n(b) be the second derivative of b**4/3 + 8*b**3/3 - 18*b. Let n(f) = 0. What is f? -4, 0 Suppose 1/3*x**3 + 2/3*x**5 + 0*x - x**4 + 0*x**2 + 0 = 0. What is x? 0, 1/2, 1 Let v(y) be the third derivative of y**7/70 + y**6/40 - 3*y**5/20 - 5*y**4/8 - y**3 - 4*y**2. Solve v(t) = 0 for t. -1, 2 Suppose x + 4*z = 4*x + 10, 24 = 2*x + 5*z. Let g be 3 - x - 1 - -4. Let -2/7*q**g - 2/7*q**5 + 0*q + 2/7*q**3 + 0 + 2/7*q**2 = 0. Calculate q. -1, 0, 1 Let m(h) be the first derivative of 4*h**5/5 - 21*h**4 + 196*h**3 - 686*h**2 + 32. Suppose m(q) = 0. Calculate q. 0, 7 Determine a, given that 13*a**2 + 4*a**2 + 1 - 18*a**2 = 0. -1, 1 Let y(f) be the first derivative of -f**6/6 - 3*f**5/5 - f**4/2 + 2*f**3/3 + 3*f**2/2 + f + 2. Determine o so that y(o) = 0. -1, 1 Let n = -23 + 20. Let g be 26/(-56) + n/(-4). Determine f so that 2/7 + 4/7*f + g*f**2 = 0. -1 Let f be 2/(-6) - 536/(-24). Let d be (-1)/(f/(-4) + 3). Find p, given that 0*p + d*p**3 - 2/5*p**2 + 0 = 0. 0, 1 Let o be 4/6*((0 - -8) + -7). Solve 0 + o*h**2 + 2/3*h = 0 for h. -1, 0 Let i(w) = -w**2 - 8*w - 7. Let m be i(-7). Let r be m/(-2 - -6) - -2. Find k, given that -16/5*k - 8/5 + r*k**2 = 0. -2/5, 2 Let y(k) be the second derivative of 1/24*k**5 + 0 - k - 7/48*k**4 + 1/6*k**3 - 1/2*k**2. Let n(s) be the first derivative of y(s). Factor n(h). (h - 1)*(5*h - 2)/2 Let k be (4/12)/(6/12). Factor 1/3*g**2 - k - 1/3*g. (g - 2)*(g + 1)/3 Let t(f) be the first derivative of 5 + 1/2*f - 1/12*f**3 - 1/8*f**2. Suppose t(p) = 0. What is p? -2, 1 Let m(b) be the second derivative of 2*b**2 + 2*b - 1/10*b**5 + b**3 + 0*b**4 + 0. Factor m(q). -2*(q - 2)*(q + 1)**2 Let v(s) be the first derivative of 5*s*
{ "pile_set_name": "DM Mathematics" }
-35 = 5*d - 2*s - 3*s for d. -4 Suppose 22 = 5*l + 2*y, l = -0*l + y + 3. Let p = l + -3. Suppose q - 3 + p = 0. Solve -5*o - q*g = 0, g = o + 1 + 6 for o. -2 Let v be (-18 + 15)*(-4)/(-6). Let h be 4*(2/1)/(-2). Let i = v - h. Solve -12 = -3*k + r, -3*k - i*r + 16 = -k for k. 5 Suppose -2*w = 2*w - 16. Solve 3*a = -5*s - 3 - 0, -w = -a for s. -3 Let b be 3/(9/(-12))*4. Let q = b + 18. Solve -3*j + 11 = -d, 3*j + q*d - 18 = j for j. 5 Let x = -35 + 39. Solve 0 = z + 5*q + 19, -3*z - z - 2*q - x = 0 for z. 1 Let j be ((-16)/10)/((-2)/(-10)). Let y(a) = a**2 - 15*a + 12. Let b be y(16). Let g be (-4)/(-14) + j/b. Solve 3*i - 5*c + g = -13, -2*i + 5*c = 12 for i. -1 Let w(u) = -u + 10. Let h be w(8). Suppose h*q - 10 = -0*q. Solve 0 = -q*g + 5*a + 10, -4*g + 7*g - 4*a = 7 for g. 1 Suppose -u = u + 8. Let q(f) = f**3 + 5*f**2 + 4*f + 4. Let s be q(u). Let k be (-2)/(-1) - 0 - 0. Solve 2*g = -k*x + 12, 0*x + s*x + 5*g - 26 = 0 for x. 4 Let h = -1 - -3. Let x be (2 - 66/15)*-5. Suppose -2*i = 2*m - 1 - 7, -h*i - 4*m = -x. Solve 6*z - 3*z = q - 1, 6 = -4*q + i*z for q. -2 Suppose -5*o - 4 = i, i - 5*i + 22 = o. Let f(p) = -2*p + 12. Let a be f(i). Solve -2*h - 11 = 3*z, a*h - 2*h + 19 = -3*z for h. 2 Suppose 2*x = 28 - 6. Let l(y) = y**2 - 11*y + 2. Let j be l(x). Solve 0 = j*p + 6, 3*p + 4 = -3*f + 8*f for f. -1 Let m(s) be the first derivative of -s**2/2 - 8*s - 4. Let a be m(-11). Solve a*g = -4*x + 1, x - g - 3*g = 5 for x. 1 Suppose -8 = -3*l - 2. Solve v = 4*c + 15, 27 = -2*c - l*v + 7 for c. -5 Let p = -5 - -7. Let r(a) = a - 4. Let k be 8/(-48) - (-25)/6. Let y be r(k). Solve 0 = 5*o - 3*s - 13, y = -4*o - 2*s - p*s + 36 for o. 5 Let l = 11 - -9. Suppose 3*a - 3*v = 15, 3*a = 7*a + 4*v - l. Suppose 2*b - 10 = 3*g, 4*g + 0*b - b = -5. Solve -h - 6*n - 11 = -n, a*h - 4*n - 3 = g for h. -1 Let o be (14/(-14))/(2/(-6)). Solve 0 = -2*t + 8, c = -0*c - o*t + 17 for c. 5 Let k be (-8)/(2 - 0) + -2. Let w be ((-12)/4)/(k/10). Solve -5*b + 12 = -3*z, -b = w*z - 0*b - 8 for z. 1 Suppose -4*z + 34 = -26. Solve z = -0*s - 3*s + l, -15 = 3*s + 4*l for s. -5 Let c be (-26)/(-6)*(2 - (-2 + 1)). Solve 0 = 5*u + a - 23, 3*u - a + 2*a = c for u. 5 Let n = -23 + 32. Solve -m - d - n = 0, 3*d - 1 = -0*m + 4*m for m. -4 Suppose -9 = -2*i - 29. Let c = i - -15. Solve -6*n + n = -3*l + 18, -2*l + n = -c for l. 1 Let q(c) = 5*c + 7*c**2 - 5*c - c**3 + 8*c + 1. Let g be q(8). Suppose -5*j - 18 + 0 = 2*x, -5*x - j = -g. Solve -5*p = -4*k - 3, -3*k + p - x = -4*p for k. -2 Suppose 5*s = 4*x + x - 25, -3*x = 3*s - 3. Suppose -40 = x*o + 2*o. Let c be (o/5)/((-2)/5). Solve 3*b + 0 = 2*d - 3, -4*b = c*d - 16 for d. 3 Let m be (4 - 1) + (15 - 3). Let s = -7 - 2. Let a be (-6)/s - 4/6. Solve 5*j - 4*l - m = 0, -3*j + 0*l - l + 9 = a for j. 3 Let g(a) = a - 6. Let r be g(6). Let l(b) = 2*b + 3. Let o be l(r). Solve -3*y + 4*p - 18 = p, -26 = 5*y - o*p for y. -4 Suppose -6*l - 40 = -11*l. Solve 2*x + l = 4*y, 5*y + 4*x = 2*x + 19 for y. 3 Let x be (-2)/(-10) - (144/(-20))/4. Solve i = 5*c + 23, -x*c = 3*i + c + 3 for i. 3 Suppose -3*y = 12, -3 = -s + 2*y + 9. Suppose 5*v = -4*l + 14, 5*v - 2*l - 50 = 3*l. Solve h - f + v = 0, -4*h - 8 = s*f + 8 for h. -5 Suppose 2*l = -l + 105. Suppose 3*w = 2*i - l, 0 + 65 = 3*i - 2*w. Suppose 4*v + i = 2*d + 5*v, 4*d - 55 = -3*v. Solve 2 = -x - u, 4*x + d = -x + 3*u for x. -2 Let r(f) = -2*f - 13. Let z = -18 - -10. Let y be r(z). Solve 2*g = -5*h + 15 - 5, -5*g = -y*h - 25 for h. 0 Let p be 4/14 + (-152)/(-56). Suppose -48 = -5*j - 2*t, t - p*t = 4*j - 40. Solve -j = -2*l, 3*l = y + 5 + 2 for y. 5 Let p = -42 - -67. Solve 5*b = 3*k - p, -4*b = -2*k + 5*k - 7 for b. -2 Let g be 2*2/(-4)*-5. Suppose g*u = -10, t - 2*u - 1 = -4*u. Suppose -12 = 4*f, 4*k + f - 15 = 2*f. Solve 0 = -k*i + b + 6, -t*b + 18 = i - 0*b for i. 3 Suppose -5*y = 5*c - 140, 0 = c - 4*c + 5*y + 92. Solve 0 = m + 5*x + 27, -5*x + 6 = -m + c for m. -2 Let f(s) = s**3 - 5*s**2 - 4*s - 8. Let m be f(6). Suppose -2*d = 2*d - m. Let q = -36 - -51. Solve 2*k + 4*p + d = q, -2*k = -3*p + 7 for k. 1 Suppose -3*x + 4 + 1 = 5*l, -3*x = 3*l + 3. Solve 6*i + 15 = l*i - 5*j, -4*j - 9 = i for i. -5 Suppose -3*h + 6*h = 0. Let a = h + 0. Solve -4*z - 3*w = -a*z + 20, 3*w + 10 = z for z. -2 Let i = 0 + 5. Solve -4 = -i*j + 3*h - 0, -3*j + 4*h + 9 = 0 for j. -1 Suppose 5*k + 0 - 15 = 0. Let g = -174 + 173. Let h be 7 + k/g + 0. Solve 2*v - 17 = -5*n, n + h + 7 = -4*v for v. -4 Suppose -17*z + 12*z = -55. Solve 2*k + 3*j + 0 = z, -k - 5*j = -16 for k. 1 Suppose 3*s + 3 = 2*t + 14, -15 = 3*t - 3*s. Let k = 6 + t. Solve -20 = 3*z + 4*b, -b + 5 = -4*z - k*b for z. 0 Let x be (-2 + 2)*(-1)/(-3). Solve -s - 2*r = 0, x = -2*s - 0*r + 3*r for s. 0 Let t = -35 + 50. Let g be (3/5)/(3/t). Solve -4*o - 5*d - 21 = -0*d, 3*o + 15 = -g*d for o. -4 Let r(a) = -5 - a**2 - 3*a**3 - 5 + 10. Let j be r(-1). Solve t + 2 = 5*h - 10, -j = 4*h + 5*t for h. 2 Let l = 18 - 13. Solve -2*p - 14 = -w + l*w, 0 = 3*w - p - 2 for w. -1 Let g = 9 + -8. Let m = 4 - g. Solve u - 2*j = 2, u - 21 = -m*u - 5*j for u. 4 Suppose -8 = -5*v + v - 3*d, 3*v - d = 19. Let u(p) = p**2 - 4*p - 5. Let k be u(5). Solve -3*m = v*n + 6 + 1, -5*n + 5 = k for m. -4 Suppose 2*t - 5 = 1. Solve 2*q + t*z + 0*z = 6, -4*z = q - 8 for q. 0 Suppose l + 2*b - 16 = 6*b, 5*l + 8 = -2*b. Suppose 5 = -x + 2*p, -30 = -x - 2*p - 3*p. Solve x*a + v = -20, l = 3*a + v + 11 + 3 for a. -3 Let k = 13 + -6. Let q = k + -2. Solve 4*p + 12 = -3*c, -20 = -0*p + p + q*c for p. 0 Let n = 5 - 1. Let o be (-30)/((84/(-8))/7). Suppose -h - 3*h + 8 = 0. Solve 0 = h*z + n*j + o, 25 = 3*z - 3*j - 2*j for z. 0 Let n be 22/(-5) - 2/(-5). Let l = n + 6. Solve -10 = -2*h + r, -4*h = -9*h + l*r + 24 for h. 4 Suppose 2*h = 53 - 11. Suppose 0 = 4*y - h - 11. Suppose -3*b + y = -2*b. Solve -8 = 4*r + 4*c, 3*r = -2*c - b + 2 for r. -2 Suppose 5*v = 6 + 4. Let f be (6/(-10))/((-2)/10). Let y = 1 + f. Solve -2*t + y*h + 0*h + 24 = 0, h = -v*t + 4 for t. 4 Let c(t) = -2*t. Let i be c(-2). Let u be 45/(-10)*i/(-6). Solve -6 = -u*d + 2*b + b, -3*d - 5*b = -14 for d. 3 Let r(d) = -1 + 0*d - 7 + 0 - d + d**2. Let h be r(0). Let z be (10/8)/((-2)/h). Solve -5*v = -5*i - 35, 0*v + v - z = 0 for i. -2 Let s be 5/2 - 2/4. Suppose -4*g - 3*n + 22 = -s*g, 5*g = n + 21. Solve -g*q + 5 = 5*p, 4*p + 3*q + 1 - 2 = 0 for p. -2 Suppose t + 17 - 1 = 0. Let m be (-6)/(-15) - t/10. Let o be 13 + (-3)/((-3)/m). Solve 5*j = 4*j + 2*s - 1, -o = -5*s for j. 5 Suppose 2*k + 46 = -14. Let v be (-162)/k + 4/(-10). Suppose m = 4*m + 2*x - 20, v*m = -2*x + 28. Solve m*r - 3*b = -29, -8 = r + b - 2*b for r. -5 Let t(g) = -g + 2. Let f be t(6). Let m = 20 - f. Solve 5*p + 3*a = m, 0*p - 6 = -3*p + a for p. 3 Suppose 2*i + 0 = 6, -4*i = -2*r - 12. Solve r = 2*w + 3*o + 2, -w - 5*o = 4*w - 5 for w. 5 Let i = 17 - 10. Suppose -3*t = 1 - i. Solve 2*w - 3*o = t - 4, 3*w + 4 = 4*o for w. -4 Let m = 8 + -3. Suppose -d - 4*d = -3*r + 38, -86 = -5*r - 3*d. Suppose 0 = -q + 5*q - r. Solve m*o - 3*g = -15, -4*o - q*g + 3 = -5*o for o. -3 Let i = 3 + -1. Let m = -5 + 8. Solve m*z - i*a - a = 6, -z + 5*a - 2 = 0 for z. 3 Suppose -3*n = 4*t + 21, 2*n + 2*t + 3*t = -14. Let q = 16 + n. Solve -3*f + 3*i + 5 = -4*f, 5*f - i + q = 0 for f. -2 Suppose -6*p = 4*p. Solve 4*g + p*m - 10 = m, 0 = -2*g - 2*m for g. 2 Let x be ((-9)/6 + 3)*24/18. Solve r - x*f = 6*r - 25, -3*r + 15 = 4*f for r. 5 Suppose 20 = 5*a - 0*a. Suppose 0 = -4*p + 2*h + 16, 13 = 3*p - a*h - 9. Solve -4 = z - 3*s, -z + 14 = s + p*s for z. 5 Suppose 3*r - 67 = q, -4*r + 3*q = -2*r - 40. Let u(c) = -c**2 - 8*c + 2. Let m be u(-8). Solve -m*l = 2*v - 3 - 15, r = 3*v + 2*l for v. 5 Let q(t) = t - 7. Let m be q(9). Suppose -m*g - 4 = -4*g. Solve -2*z - 3*k - 13 = -0, -g*k = 2*z + 10 for z. -2 Let t(b) = -5*b - 6. Let r be t(-5). Solve -6 + r = -5*q - 4*i, -2*i - 3 = -q for q. -1 Let y(j) = -j**3 + 16*j**2 - 16*j + 17. Let d be y(15). Solve -4*z = 4*f + 6 + 2, f + d = -5*z for z. 0 Let v(w) = -9*w + 3. Let a(d) = -d. Let p(b) = -a(b) + v(b). Let g be 20/(-8) - 0 - (-2)/(-4). Let f be p(g). Solve 3 + 1 = 4*m, 0 = 5*i + 2*m - f for i. 5 Let i = -5 + 8. Let o(d) = -6*d**2 - 6*d. Let x(k) = -5*k**2 - 5*k. Let f(n) = 4*o(n) - 5*x(n). Let y be f(1). Solve s - 5*j = i,
{ "pile_set_name": "DM Mathematics" }
the nearest 100. -100 Let f = -101841 - 54159. What is f rounded to the nearest 10000? -160000 Let p = 835.14 + -850. Let c = p + 15. Let n = -0.192 + c. Round n to two dps. -0.05 Let r = -0.586259 - -0.086187. Let l = 58 + -57.5. Let s = l + r. What is s rounded to five decimal places? -0.00007 Let j = 46 + -27. Let z = j - 18.9926. What is z rounded to three dps? 0.007 Let x be ((-8)/(-1))/(3/33). Let p(d) = 12*d**2 + 90*d - 2. Let n(m) = 4*m. Let z(v) = x*n(v) - 4*p(v). Let u be z(-8). What is u rounded to the nearest 1000? -3000 Let a = 4.9 - 0.15. Let u = -4 + a. What is u rounded to 1 decimal place? 0.8 Let f(i) = 11112*i**2 + 5*i + 7. Let b be f(-3). Round b to the nearest 1000000. 0 Let z = 0.03656 + -0.037. What is z rounded to four dps? -0.0004 Let b = -56.9999991 - -57. What is b rounded to 6 dps? 0.000001 Let n be (-1 + 5 - 3)*-90003 + 3. Round n to the nearest 10000. -90000 Let m = 0.06000172 + -0.06. What is m rounded to 7 dps? 0.0000017 Let x = -2.2 + 2. Let n = -0.3 - x. Let l = 0.3 + n. What is l rounded to 1 dp? 0.2 Let i = 75 - 74.99901. Round i to four decimal places. 0.001 Suppose -2*u = -7*u. Let m be 25*(u - -1)*-184. What is m rounded to the nearest one thousand? -5000 Suppose -23000004 = -2*t - 2*j, 2*t + 5*j - 34610848 + 11610838 = 0. Round t to the nearest one million. 12000000 Let u = 107 - 57. Let d be (u/(-3))/((-2)/(-84)). Round d to the nearest 100. -700 Suppose -5*k + 144984 = -z, -4*z - 20 = z. Suppose 0*b + k = b - s, -2*s + 8 = 0. What is b rounded to the nearest ten thousand? 30000 Let y = 2.6 - 2.2. Let u = y + -0.39999992. What is u rounded to 7 dps? 0.0000001 Suppose -r + 80000080 = 3*r. Suppose 5*y = -5*x - r, -5*x + 7999980 = -0*y - 2*y. Round y to the nearest 1000000. -4000000 Let t = -41.2 - -41.2199. Round t to 3 dps. 0.02 Let q = -5.386 - 0.014. Let b = 1029 + -1024.19. Let z = q + b. What is z rounded to one decimal place? -0.6 Let l = 1.79972 + -1.8. What is l rounded to four decimal places? -0.0003 Let y(v) = -v**2 + 5*v - 4. Let j be y(3). Suppose i = -j*i. Round i to the nearest 10. 0 Let c(z) = -110641*z**3 - 7*z**2 + 2*z + 3. Let g be c(-5). Let m = 20029943 - g. What is m rounded to the nearest one million? 6000000 Let w = -12216675.91829 + 161.91829. Let m = w - -12216694.99901. Let d = m + -181. Round d to 4 dps. -0.001 Suppose -5 = -o - 0. Suppose -t - o*n - 935 = 0, 4*t + 4594 = -t + 2*n. What is t rounded to the nearest 100? -900 Suppose -a - 3*r = 4*a + 2648, -5*r - 1592 = 3*a. What is a rounded to the nearest 100? -500 Let y(p) = 160000*p**3 + p**2 - p. Let m be y(1). Let l be 10*(-1)/((-1)/m). What is l rounded to the nearest 100000? 1600000 Let w = -54 + 59.4. Let b = w + 0.6. Let q = b + -5.9986. What is q rounded to 3 dps? 0.001 Let n = -6208532 - -4418532. What is n rounded to the nearest 100000? -1800000 Let j be 1 - -3*(-4)/6. Let n be 4 + (-1)/j*1. Suppose 1679980 = 3*t + n*y, -2*y + 5*y + 1120012 = 2*t. What is t rounded to the nearest one hundred thousand? 600000 Let x = 0.054 + -0.0540168. Round x to six dps. -0.000017 Let q = 647131.00044 - 647107. Let o = q + -24. What is o rounded to four dps? 0.0004 Suppose -4*b = -8 - 8. Suppose -2*h = -b*h. Round h to 4 dps. 0 Suppose r - 23915082 = -5*s - 304010, -4*s = 3*r - 70833249. Let c = r - 33111087. What is c rounded to the nearest 1000000? -10000000 Let n = 2 + -2.08. Let d = -0.0799994 - n. Round d to 6 dps. 0.000001 Let z = 41.147 - 84.184. Let w = 43 + z. Round w to two dps. -0.04 Let x = 8.86383552 + 2.13616918. Let m = 11 - x. What is m rounded to 6 dps? -0.000005 Let y be ((-32)/(-12))/(2/(-627)). What is y rounded to the nearest 100? -800 Let k = -103 + -171. Round k to the nearest 10. -270 Let l(f) = 399*f**2 + 6*f - 5. Suppose 0 = -2*z + 6*z - 16. Suppose 15 = z*t - t. Let n be l(t). What is n rounded to the nearest ten thousand? 10000 Let t = 0.08 + -0.08003. Round t to 5 decimal places. -0.00003 Let f(h) = -3337*h**3 + h**2 - 1. Let s be f(-1). Let w = 2063 + s. What is w rounded to the nearest one thousand? 5000 Let q(p) = -804*p**3 + 2*p**2 - 12*p + 14. Let k be q(11). What is k rounded to the nearest 100000? -1100000 Let k = -16 - -15.24. Let c = -3.14 + k. Round c to 0 decimal places. -4 Let w be 3319/(-4) + (-14)/56. Round w to the nearest one hundred. -800 Let o = 116.7 + -112. Round o to 0 decimal places. 5 Let x be ((-4)/(-2) - 0) + -557124. Let s = -982878 + x. What is s rounded to the nearest 100000? -1500000 Let y = -181915421 - -112315421. What is y rounded to the nearest one million? -70000000 Let b(f) = -20*f**2 - 5*f + 5. Let y be b(6). Let s = 2283 + -3578. Let v = s - y. Round v to the nearest 100. -600 Let q = -0.30848 - 29.63752. Let x = q - -30. Let j = 0.514 - x. Round j to one decimal place. 0.5 Let w = 182694.9859963 + -182695. Let u = 0.014 + w. Round u to 6 decimal places. -0.000004 Let z = -114 + 113.909. What is z rounded to two dps? -0.09 Let i = -2325.2 + 2326.9811. Let q = i + -0.0741. Let a = q - 1.7. Round a to two decimal places. 0.01 Let f = -35772.37 - -53991. Let r = f + -18218.1299988. Let x = 0.5 - r. What is x rounded to seven dps? -0.0000012 Let l = -50 - -42.1. Let i = 9.16 + l. Let v = 1.5 - i. Round v to 1 decimal place. 0.2 Let w = 1.2797 + -1.29. Round w to 3 dps. -0.01 Let b = 106808.58 + -105551. Let i = b - 1268. Let f = -11 - i. What is f rounded to 1 dp? -0.6 Suppose 0 = 18*d + 53093 - 249653. Round d to the nearest 1000. 11000 Let b = -26.6 + 34. Let o = 14646865.600041 - 14646873. Let i = o + b. What is i rounded to five dps? 0.00004 Suppose 0 = -d - p + 4, p - 20 = -5*d. Suppose -4*a + 7 = -9, d*a = o - 2897. Suppose 0 = -5*i - o - 1237. What is i rounded to the nearest one hundred? -800 Let m = -136.121 + 136. Let h = m + 0.068. What is h rounded to two dps? -0.05 Let n(i) = -i**3 - 10*i + 3. Suppose 12 = -4*p, 3*s + 5*p - 12 = 2*p. Let t be n(s). What is t rounded to the nearest one hundred? -400 Let o = -0.78 + 0.7852. Round o to three decimal places. 0.005 Let y(m) = 342001*m**3 + 5*m**2 + 3*m - 1. Let t be y(-1). Round t to the nearest 100000. -300000 Suppose 5*j - 17 = 8. Suppose 22988 = -j*h + 3*u, -4*h - 2576 = -3*u + 15812. Round h to the nearest one thousand. -5000 Let o = -18470403 - -18470423.999971. Let m = -0.37 - -21.37. Let d = o - m. Round d to five dps. -0.00003 Suppose -2*v = -0*v - 120. Suppose 0 = -3*z + 162 + v. Round z to the nearest ten. 70 Let h = -97 + 81.3. What is h rounded to the nearest integer? -16 Suppose v = -v + 18400. Round v to the nearest one thousand. 9000 Let o = -147244.1494339 + -9.8443661. Let l = o + 147271. Let i = -17 + l. Round i to 3 decimal places. 0.006 Let k = 24653.782 - 24536. Let w = k + 0.218. Let q = w - 118.00049. What is q rounded to four dps? -0.0005 Let j = -711709818936388922 - -711709815952362621.99999933. Let q = j + 2984026368. Let t = q - 68. What is t rounded to seven dps? -0.0000007 Let n = 2.28 - 2.461. What is n rounded to 2 decimal places? -0.18 Let n = -15 - -21. Suppose -3*i - n = -15. Suppose i*x = -5*m - 5500009, x - 3064110 + 8564113 = -5*m. Round m to the nearest one million. -1000000 Let a = -3.14 - -1.47. What is a rounded to 1 decimal place? -1.7 Let b(t) = -28518*t**3 - 3*t**2 + 3*t + 4. Let a be b(3). Round a to the nearest one hundred thousand. -800000 Let o = -1.74 + 0.96. Round o to one decimal place. -0.8 Let d = 54 - 53.7. Round d to one decimal place. 0.3 Suppose 2*k = f - 6*f - 8, -16 = 4*f. What is k rounded to the nearest integer? 6 Let d(i) = 55*i + 15. Let y be d(-13). Round y to the nearest 1000. -1000 Let g = -0.0999732 - -0.1. Round g to five dps. 0.00003 Suppose -1432 - 4968 = -4*x. Let m be 50/(4798/x - 3). What is m rounded to the nearest one hundred thousand? 0 Let i = 0.7 + -2.2. Let r = i - -1.98. What is r rounded to one dp? 0.5 Let a = -0.4 + 0.12. What is a rounded to 1 dp? -0.3 Let j = -228.65756065 + 226.95756. Let c = 0.41 - -1.29. Let g = j + c. Round g to 7 dps. -0.0000007 Let u = 9 + -5. Suppose -n + 320000 = u*n. What is n rounded to the nearest 10000? 60000 Let g = -18 + 25. Let u = -6.97 + g. Round u to 1 dp. 0 Let t = -0.4 - -0.393. Let g = t + 0.053. Let w = 0.04599963 - g. Round w to 7 dps. -0.0000004 Let p = 5.9035 - 5.9. What is p rounded to
{ "pile_set_name": "DM Mathematics" }
the second derivative of 0*o**2 - 1/7*o**3 + 1/6*o**4 + 4 + 1/105*o**6 - 23*o - 1/14*o**5. Factor m(u). 2*u*(u - 3)*(u - 1)**2/7 Let c(u) = -16*u**3 + 912*u**2 + 1848*u + 10. Let o(y) = 5*y**3 - 304*y**2 - 616*y - 3. Let g(f) = -3*c(f) - 10*o(f). Factor g(b). -2*b*(b - 154)*(b + 2) Let t(c) be the third derivative of c**6/60 + 352*c**5/15 + 30976*c**4/3 - 112*c**2 + 3*c. Determine v so that t(v) = 0. -352, 0 Let i(j) = 3*j**3 - 1. Let h(l) = 2*l**3 - 75*l**2 - 1107*l + 11766. Let p(b) = -2*h(b) + 2*i(b). Solve p(z) = 0. -41, 7 Let r(m) be the second derivative of -1/11*m**3 + 0*m**2 + 0 + m - 1/33*m**4 + 1/110*m**5. Factor r(o). 2*o*(o - 3)*(o + 1)/11 Let c(d) be the first derivative of 2*d**3/27 + 19*d**2/9 - 44*d/3 - 470. Find w such that c(w) = 0. -22, 3 Suppose -5*b + 771 = 291. Determine n, given that n**3 + 99*n**4 + 5*n**3 + 0*n**5 - 3*n**2 - b*n**4 - 6*n**5 = 0. -1, 0, 1/2, 1 Suppose 29*v + 8*v = 28*v + 18. Let x(b) be the first derivative of 1/2*b**v - 4/5*b**5 + 0*b - 2/3*b**3 - 7/4*b**4 + 17. Determine d so that x(d) = 0. -1, 0, 1/4 Let q(s) be the first derivative of -10/9*s**2 - 14/3*s - 2/27*s**3 - 235. Let q(d) = 0. Calculate d. -7, -3 Let k(q) be the second derivative of q**5/110 - 37*q**4/33 + 1292*q**3/33 + 2888*q**2/11 + 1364*q. Factor k(b). 2*(b - 38)**2*(b + 2)/11 Let b = -86 + 89. Suppose -6 = t - b*l, -2*t = -t + l - 6. Factor 7*x + 5*x + 3*x**2 - t - 15*x - 3. 3*(x - 2)*(x + 1) Let u = 44985 - 89967/2. Solve 0 - u*t + 1/2*t**2 = 0. 0, 3 Let v(o) = 24*o**2 - 6701*o + 1747. Let c(b) = 215*b**2 - 60310*b + 15705. Let h(q) = -4*c(q) + 35*v(q). Solve h(t) = 0 for t. 1/4, 335 Determine k so that 41209/4 + 203/2*k + 1/4*k**2 = 0. -203 Factor 0 + 24300*o**2 + 5/3*o**5 - 515/3*o**4 + 3960*o**3 + 0*o. 5*o**2*(o - 54)**2*(o + 5)/3 Let z(c) be the first derivative of -5*c**3/3 + 5*c**2/2 + 60*c - 2942. Solve z(m) = 0. -3, 4 Suppose 3/7*y**2 + 2304/7 - 402/7*y = 0. What is y? 6, 128 Let f(i) be the second derivative of i**5/70 + 305*i**4/14 + 93025*i**3/7 + 28372625*i**2/7 - 2*i + 1104. Factor f(u). 2*(u + 305)**3/7 Let x(m) be the second derivative of 3*m**5/20 - 3*m**4 + 27*m**3/2 - 1652*m. Let x(o) = 0. Calculate o. 0, 3, 9 Let p be 1/((-8)/26 + 174361/262262). Suppose 16/5 - 1/5*l**3 + 31/5*l + p*l**2 = 0. Calculate l. -1, 16 Let z(l) = -32*l - 1053. Let g be z(-33). Let w(i) be the third derivative of 7*i**2 + 1/140*i**5 - 3/14*i**4 + 18/7*i**g + 0 + 0*i. Find b such that w(b) = 0. 6 Solve -12*f**2 - 2/9*f**3 - 68/3 - 310/9*f = 0. -51, -2, -1 Factor -296*r**3 + 93*r**3 - 544 - 50*r**2 + 94*r**3 + 107*r**3 - 304*r. -2*(r + 4)**2*(r + 17) Let b(y) be the third derivative of y**8/1008 - y**6/45 + y**5/30 + 7*y**4/72 - y**3/3 - 2*y**2 + 55*y + 7. Suppose b(n) = 0. What is n? -3, -1, 1, 2 Let a = -699649/27 - -25913. Let n(z) be the first derivative of a*z**3 + 5/9*z**2 + 0*z - 35. Determine h, given that n(h) = 0. -5, 0 Let v(i) be the second derivative of -186*i + 211/6*i**4 - 25/2*i**5 - 20/21*i**7 + 22*i**2 + 0 + 145/3*i**3 - 233/15*i**6. Suppose v(j) = 0. Calculate j. -11, -1, -2/5, -1/4, 1 Let k(j) be the first derivative of -j**7/3780 - j**6/135 - 11*j**5/540 + 4*j**3/3 + 12*j + 12. Let r(y) be the third derivative of k(y). Factor r(s). -2*s*(s + 1)*(s + 11)/9 Let g be (-5 - 1022/(-196))/(4/42). Factor -15/2*w - 3/4*w**4 - 9/2*w**3 - 9*w**2 - g. -3*(w + 1)**3*(w + 3)/4 Let y = 282 + -271. Factor -11*n + 15*n - 9 + 13*n - 3*n**2 + y*n. -(n - 9)*(3*n - 1) Find h, given that -2/9*h**2 + 0 - 44/9*h = 0. -22, 0 Let d be (1/(-3))/((-2)/30). Let u(o) be the third derivative of -5/9*o**3 - 1/36*o**d + 0 - 17*o**2 + 0*o + 5/24*o**4. Find k such that u(k) = 0. 1, 2 Let k be 6/4*(-1060)/(-3). Let d be k/210 - 3/(-9). Determine v, given that -4/7 + 4/7*v**5 - d*v**4 + 20/7*v + 40/7*v**3 - 40/7*v**2 = 0. 1 Let z(u) be the third derivative of -u**7/42 + u**6/6 + 5*u**5 - 60*u**4 - 26*u**2 - 17. Factor z(n). -5*n*(n - 6)**2*(n + 8) Let a(r) be the second derivative of 0 - 3*r**2 + 7/12*r**3 - 1/24*r**4 - 101*r. Determine c, given that a(c) = 0. 3, 4 Let i(j) be the second derivative of j**4/114 + 802*j**3/57 - 803*j**2/19 - 10000*j. What is b in i(b) = 0? -803, 1 Let n be 1*2*(4/4 - 0). Factor 1286*z**3 - 1728*z + 72*z**n - 1287*z**3 + 6256 + 7568. -(z - 24)**3 Let w(f) be the third derivative of -f**8/33600 - f**7/840 - f**6/48 - 7*f**5/60 + f**4/4 + 2*f**2 + 24. Let r(z) be the third derivative of w(z). Factor r(y). -3*(y + 5)**2/5 Factor 1/10*q**4 + 6492/5*q**2 + 112/5*q**3 + 4928*q + 4840. (q + 2)**2*(q + 110)**2/10 Let h = -725 - -719. Let t be (h/45)/(-4*(-5)/(-400)). Let 0*l + 0 - 4/3*l**3 + t*l**2 = 0. Calculate l. 0, 2 Suppose -2/7*g**2 - 116/7*g - 432/7 = 0. What is g? -54, -4 Let p be (26/(-6))/((-2)/6). Let k be (-104)/12*-3 - (58 - 51). Find a, given that k + 0 + p - 16*a + 2*a**2 = 0. 4 Let m = -43749 + 314054/7. Let z = -1115 + m. What is l in 0 + 0*l + z*l**3 - 2/7*l**2 + 2/7*l**5 - 6/7*l**4 = 0? 0, 1 Let i(u) be the third derivative of -57*u**2 + 0 + 5/12*u**4 + 1/15*u**5 + 0*u**3 + 0*u. Solve i(z) = 0 for z. -5/2, 0 Suppose 0 + 1/3*h**5 + 0*h + 77/3*h**2 + 19/3*h**4 + 95/3*h**3 = 0. What is h? -11, -7, -1, 0 Let h(c) be the first derivative of -676*c**5/5 + 39*c**4 + 1928*c**3/3 - 960*c**2 + 512*c + 12485. Let h(s) = 0. Calculate s. -2, 8/13, 1 Let h(t) = 5*t**4 - 55*t**3 - 5*t**2 - 10*t + 10. Let l(r) = r**2 + 2*r - 2. Let g(u) = h(u) + 5*l(u). Factor g(a). 5*a**3*(a - 11) Let q be -6 + -5 + 5 - (-4 - (3 - -5)). Let n(s) be the first derivative of 0*s**4 + 12 - 1/16*s**2 + 1/20*s**5 + 1/48*s**q - 1/12*s**3 + 0*s. Solve n(x) = 0. -1, 0, 1 Let l = -2/1099 + 1129/16485. Let z(m) be the third derivative of 19*m**2 + 0*m**3 + 0*m + 0 + 1/30*m**6 - l*m**5 + 0*m**4. Factor z(k). 4*k**2*(k - 1) Suppose 4*b + 345 = -3*n + 341, -3*b + n = -10. Solve 13/6*w**b - 9/2*w + 1/3 = 0 for w. 1/13, 2 Let x(f) be the first derivative of 14 - 1/120*f**5 + 1/2*f**3 - 1/48*f**4 + 0*f + 7*f**2. Let j(l) be the second derivative of x(l). Let j(m) = 0. What is m? -3, 2 Solve 29 + 206*u + 204*u**4 - 2*u**5 + 23 + 84*u**3 + 112*u**3 - 410*u**4 + 250*u**4 + 304*u**2 = 0. -1, 26 Suppose 0 = 19*s - 0 - 76. Let p be 2 - ((-22)/s + 7). Factor -1/2*v**5 + 0*v + 0 - p*v**3 - v**4 + 0*v**2. -v**3*(v + 1)**2/2 Let h(z) = -z**3 + 6*z**2 - 4*z - 1. Suppose 0 = -g - 5*c + 20, -g - c - c = -11. Let y be h(g). What is v in -27*v**4 + 12*v**4 + 4*v + 7*v**y - 12*v**3 = 0? -1, 0, 1/2 Suppose 13*r + 28 = 15. Let x be ((-82)/(-205))/(r/(10/(-6))). Suppose -p**3 - x*p**2 + 5/6*p**4 - 1/6 + p = 0. Calculate p. -1, 1/5, 1 Let z(c) be the first derivative of -c**4/7 + 16*c**3/21 + 6*c**2 + 2888. Factor z(s). -4*s*(s - 7)*(s + 3)/7 Let c(b) be the third derivative of 29*b**8/4032 - b**7/504 + b**5/60 - b**4/2 + 6*b**2 + 3. Let q(y) be the third derivative of c(y). Factor q(n). 5*n*(29*n - 2) Let z(g) be the second derivative of -7*g**4/3 + 4*g**3 + 176*g**2 - 7389*g. Determine v, given that z(v) = 0. -22/7, 4 Let j(d) be the first derivative of -3/4*d**4 - 24 - 27*d**3 - 507*d - 585/2*d**2. Determine h so that j(h) = 0. -13, -1 Suppose -9 = 3*i + 9. Let r be (3/2 + -2)*24/i. Let 31*b + 9*b - 200 - 3*b**2 + b**r = 0. Calculate b. 10 Let b(i) = 50*i**4 - 230*i**3 - 5*i - 5. Let w(k) = -59*k**4 + 231*k**3 + 6*k + 6. Let x(h) = 6*b(h) + 5*w(h). Factor x(j). 5*j**3*(j - 45) Let c(y) be the first derivative of 17/3*y**3 + 28 + 21/8*y**4 + 1/24*y**6 + 5*y**2 + 0*y + 11/20*y**5. Factor c(b). b*(b + 2)**3*(b + 5)/4 Let u(t) be the second derivative of 1/48*t**4 + 1/80*t**5 - 2 - 1/3*t**3 + 21*t - 3/2*t**2. Find s such that u(s) = 0. -2, 3 Let y = -25961/119 + 3716/17. Let v be (-2)/(-9) + (-44)/(-126). Determine q, given that v*q + y + 1/7*q**2 = 0. -3, -1 Factor 1353 + 20*s**3 - 25*s + 10*s**3 - 5*s**3 + 1343 - 2886 + 190*s**2. 5*(s - 1)*(s + 1)*(5*s + 38) Let b(a) be the third derivative of a**5/60 - 485*a**4/12 + 2415*a**2. Factor b(o). o*(o - 970) Let b = 6338/11571 - -1456/1653. Solve -2/7*u**2 + b*u - 8/7 = 0. 1, 4 Let l = 78964 + -315835/4. Factor l*h**3 + 0*h + 0 - 15/2*h**2. 3*h**2*(7*h - 10)/4 Let x(f) = 6 + 31*f**2 + 3*f**3 + 6*f - 2 - 28*f**2 + 2. Let a(h) = 6*h**3 + 5*h**2 + 11*h + 11. Let s(z) = -6*a(z) + 11*x(z). Solve s(j) = 0. 0, 1 Let -65*o**3 + 1334/3*o**2
{ "pile_set_name": "DM Mathematics" }